% Mizar problem: e1_9_1_2,enumset1,213,55 
include('Axioms/SET010^0.ax').
thf(c10_9_type,type,( c10_9__enumset1: $i )).
thf(c1_9_type,type,( c1_9__enumset1: $i )).
thf(c2_9_type,type,( c2_9__enumset1: $i )).
thf(c3_9_type,type,( c3_9__enumset1: $i )).
thf(c4_9_type,type,( c4_9__enumset1: $i )).
thf(c5_9_type,type,( c5_9__enumset1: $i )).
thf(c6_9_type,type,( c6_9__enumset1: $i )).
thf(c7_9_type,type,( c7_9__enumset1: $i )).
thf(c8_9_type,type,( c8_9__enumset1: $i )).
thf(c9_9_type,type,( c9_9__enumset1: $i )).
thf(antisymmetry_r2_hidden,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ~ ( r2_hidden @ B @ A ) ) ),file(hidden,r2_hidden)).
thf(dt_c10_9__enumset1,axiom,( $true ),file(enumset1,c10_9__enumset1)).
thf(dt_c1_9__enumset1,axiom,( $true ),file(enumset1,c1_9__enumset1)).
thf(dt_c2_9__enumset1,axiom,( $true ),file(enumset1,c2_9__enumset1)).
thf(dt_c3_9__enumset1,axiom,( $true ),file(enumset1,c3_9__enumset1)).
thf(dt_c4_9__enumset1,axiom,( $true ),file(enumset1,c4_9__enumset1)).
thf(dt_c5_9__enumset1,axiom,( $true ),file(enumset1,c5_9__enumset1)).
thf(dt_c6_9__enumset1,axiom,( $true ),file(enumset1,c6_9__enumset1)).
thf(dt_c7_9__enumset1,axiom,( $true ),file(enumset1,c7_9__enumset1)).
thf(dt_c8_9__enumset1,axiom,( $true ),file(enumset1,c8_9__enumset1)).
thf(dt_c9_9__enumset1,axiom,( $true ),file(enumset1,c9_9__enumset1)).
thf(s3_xboole_0,axiom,( ! [A: $i > $o] : ! [B: $i] : ! [C: $i] : ( ( ! [D: $i] : ( ( r2_hidden @ D @ B ) <=> ( A @ D ) ) & ! [D: $i] : ( ( r2_hidden @ D @ C ) <=> ( A @ D ) ) ) => ( = @ B @ C ) ) ),file(xboole_0,s3_xboole_0)).
thf(e1_9_1_2__enumset1,conjecture,( ! [A: $i] : ! [B: $i] : ( ( ! [C: $i] : ( ( r2_hidden @ C @ A ) <=> ~ ( ~ ( = @ C @ c1_9__enumset1 ) & ~ ( = @ C @ c2_9__enumset1 ) & ~ ( = @ C @ c3_9__enumset1 ) & ~ ( = @ C @ c4_9__enumset1 ) & ~ ( = @ C @ c5_9__enumset1 ) & ~ ( = @ C @ c6_9__enumset1 ) & ~ ( = @ C @ c7_9__enumset1 ) & ~ ( = @ C @ c8_9__enumset1 ) & ~ ( = @ C @ c9_9__enumset1 ) & ~ ( = @ C @ c10_9__enumset1 ) ) ) & ! [C: $i] : ( ( r2_hidden @ C @ B ) <=> ~ ( ~ ( = @ C @ c1_9__enumset1 ) & ~ ( = @ C @ c2_9__enumset1 ) & ~ ( = @ C @ c3_9__enumset1 ) & ~ ( = @ C @ c4_9__enumset1 ) & ~ ( = @ C @ c5_9__enumset1 ) & ~ ( = @ C @ c6_9__enumset1 ) & ~ ( = @ C @ c7_9__enumset1 ) & ~ ( = @ C @ c8_9__enumset1 ) & ~ ( = @ C @ c9_9__enumset1 ) & ~ ( = @ C @ c10_9__enumset1 ) ) ) ) => ( = @ A @ B ) ) ),file(enumset1,e1_9_1_2__enumset1)).
