%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEV465^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:37:20 AM UTC 2026
% Result : Theorem 123.19s 62.51s
% Output : Refutation 123.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 9
% Syntax : Number of formulae : 108 ( 19 unt; 0 typ; 7 def)
% Number of atoms : 669 ( 74 equ; 0 cnn)
% Maximal formula atoms : 14 ( 6 avg)
% Number of connectives : 1564 ( 157 ~; 192 |; 16 &;1177 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 47 ( 47 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 6 con; 0-5 aty)
% Number of variables : 182 ( 0 ^; 166 !; 9 ?; 182 :)
% ( 0 !>; 0 ?*; 0 @-; 7 @+)
% Comments :
%------------------------------------------------------------------------------
thf(skt1_type,type,
skt1: $tType ).
thf(skt2_type,type,
skt2: $tType ).
thf('const/sets/IN_decl',type,
'const/sets/IN':
!>[TA: $tType] : ( TA > ( TA > $o ) > $o ) ).
thf('const/sets/IMAGE_decl',type,
'const/sets/IMAGE':
!>[TA: $tType,TB: $tType] : ( ( TB > TA ) > ( TB > $o ) > TA > $o ) ).
thf(sk1_decl,type,
sk1: skt1 > $o ).
thf(sk2_decl,type,
sk2: skt2 > skt1 ).
thf(sk3_decl,type,
sk3: skt2 > $o ).
thf(sk4_decl,type,
sk4: skt1 ).
thf(sk5_decl,type,
sk5: skt2 ).
thf(sk7_decl,type,
sk7: skt2 ).
thf(sk10_decl,type,
sk10: skt2 ).
thf(sk1_def,definition,
( sk1
= ( @+[A: skt1 > $o] :
~ ! [B: skt2 > skt1,C: skt2 > $o] :
( ( ! [D: skt1] :
( ( 'const/sets/IN' @ skt1 @ D @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ B @ C ) )
=> ( A @ D ) ) )
= ( ! [D: skt2] :
( ( 'const/sets/IN' @ skt2 @ D @ C )
=> ( A @ ( B @ D ) ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: skt2 > skt1] :
~ ! [B: skt2 > $o] :
( ( ! [C: skt1] :
( ( 'const/sets/IN' @ skt1 @ C @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ A @ B ) )
=> ( sk1 @ C ) ) )
= ( ! [C: skt2] :
( ( 'const/sets/IN' @ skt2 @ C @ B )
=> ( sk1 @ ( A @ C ) ) ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: skt2 > $o] :
( ( ! [B: skt1] :
( ( 'const/sets/IN' @ skt1 @ B @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ A ) )
=> ( sk1 @ B ) ) )
!= ( ! [B: skt2] :
( ( 'const/sets/IN' @ skt2 @ B @ A )
=> ( sk1 @ ( sk2 @ B ) ) ) ) ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( @+[A: skt1] :
~ ( ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
=> ( sk1 @ A ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( @+[A: skt2] :
~ ( ( 'const/sets/IN' @ skt2 @ A @ sk3 )
=> ( sk1 @ ( sk2 @ A ) ) ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( @+[A: skt2] :
( ( sk4
= ( sk2 @ A ) )
& ( 'const/sets/IN' @ skt2 @ A @ sk3 ) ) ) ) ).
thf(sk10_def,definition,
( sk10
= ( @+[A: skt2] :
( ( sk4
= ( sk2 @ A ) )
& ( 'const/sets/IN' @ skt2 @ A @ sk3 ) ) ) ) ).
thf(1,conjecture,
! [TA: $tType,TB: $tType,A: TB > $o,B: TA > TB,C: TA > $o] :
( ( ! [D: TB] :
( ( 'const/sets/IN' @ TB @ D @ ( 'const/sets/IMAGE' @ TA @ TB @ B @ C ) )
=> ( A @ D ) ) )
= ( ! [D: TA] :
( ( 'const/sets/IN' @ TA @ D @ C )
=> ( A @ ( B @ D ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/FORALL_IN_IMAGE_') ).
thf(2,negated_conjecture,
~ ! [TA: $tType,TB: $tType,A: TB > $o,B: TA > TB,C: TA > $o] :
( ( ! [D: TB] :
( ( 'const/sets/IN' @ TB @ D @ ( 'const/sets/IMAGE' @ TA @ TB @ B @ C ) )
=> ( A @ D ) ) )
= ( ! [D: TA] :
( ( 'const/sets/IN' @ TA @ D @ C )
=> ( A @ ( B @ D ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ! [TA: $tType,TB: $tType,A: TB > $o,B: TA > TB,C: TA > $o] :
( ( ! [D: TB] :
( ( 'const/sets/IN' @ TB @ D @ ( 'const/sets/IMAGE' @ TA @ TB @ B @ C ) )
=> ( A @ D ) ) )
= ( ! [D: TA] :
( ( 'const/sets/IN' @ TA @ D @ C )
=> ( A @ ( B @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
( ( ! [A: skt1] :
( ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
=> ( sk1 @ A ) ) )
!= ( ! [A: skt2] :
( ( 'const/sets/IN' @ skt2 @ A @ sk3 )
=> ( sk1 @ ( sk2 @ A ) ) ) ) ),
inference(cnf,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [A: skt1] :
( ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
=> ( sk1 @ A ) ) )
!= ( ! [A: skt2] :
( ( 'const/sets/IN' @ skt2 @ A @ sk3 )
=> ( sk1 @ ( sk2 @ A ) ) ) ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(10,plain,
( ~ ! [A: skt1] :
( ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
=> ( sk1 @ A ) )
| ~ ! [A: skt2] :
( ( 'const/sets/IN' @ skt2 @ A @ sk3 )
=> ( sk1 @ ( sk2 @ A ) ) ) ),
inference(bool_ext,[status(thm)],[6]) ).
thf(12,plain,
( ( ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 ) )
& ( ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ~ ( sk1 @ ( sk2 @ sk5 ) ) )
& ( ~ ( sk1 @ sk4 )
| ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 ) )
& ( ~ ( sk1 @ sk4 )
| ~ ( sk1 @ ( sk2 @ sk5 ) ) ) ),
inference(cnf,[status(esa)],[10]) ).
thf(13,plain,
( ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 ) ),
inference(cnfConj,[status(thm)],[12]) ).
thf(3,axiom,
! [TA: $tType,TB: $tType,A: TB,B: TA > $o,C: TA > TB] :
( ( 'const/sets/IN' @ TB @ A @ ( 'const/sets/IMAGE' @ TA @ TB @ C @ B ) )
= ( ? [D: TA] :
( ( A
= ( C @ D ) )
& ( 'const/sets/IN' @ TA @ D @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/IN_IMAGE_') ).
thf(7,plain,
! [TA: $tType,TB: $tType,A: TB,B: TA > $o,C: TA > TB] :
( ( 'const/sets/IN' @ TB @ A @ ( 'const/sets/IMAGE' @ TA @ TB @ C @ B ) )
= ( ? [D: TA] :
( ( A
= ( C @ D ) )
& ( 'const/sets/IN' @ TA @ D @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,plain,
! [TA: $tType,TB: $tType,C: TB > TA,B: TB > $o,A: TA] :
( ( 'const/sets/IN' @ TA @ A @ ( 'const/sets/IMAGE' @ TB @ TA @ C @ B ) )
= ( ? [D: TB] :
( ( A
= ( C @ D ) )
& ( 'const/sets/IN' @ TB @ D @ B ) ) ) ),
inference(cnf,[status(esa)],[7]) ).
thf(9,plain,
! [TA: $tType,TB: $tType,C: TB > TA,B: TB > $o,A: TA] :
( ( 'const/sets/IN' @ TA @ A @ ( 'const/sets/IMAGE' @ TB @ TA @ C @ B ) )
= ( ? [D: TB] :
( ( A
= ( C @ D ) )
& ( 'const/sets/IN' @ TB @ D @ B ) ) ) ),
inference(lifteq,[status(thm)],[8]) ).
thf(33,plain,
! [TA: $tType,TB: $tType,C: TB > TA,B: TB > $o,A: TA] :
( ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ? [D: TB] :
( ( A
= ( C @ D ) )
& ( 'const/sets/IN' @ TB @ D @ B ) )
| ( ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
!= ( 'const/sets/IN' @ TA @ A @ ( 'const/sets/IMAGE' @ TB @ TA @ C @ B ) ) ) ),
inference(paramod_ordered,[status(thm)],[13,9]) ).
thf(34,plain,
( ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ? [A: skt2] :
( ( sk4
= ( sk2 @ A ) )
& ( 'const/sets/IN' @ skt2 @ A @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[33:[bind(A,$thf( sk4 )),bind(B,$thf( sk3 )),bind(C,$thf( sk2 )),bind_type(TA,$thf( skt1 )),bind_type(TB,$thf( skt2 ))]]) ).
thf(41,plain,
( ( ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ( sk4
= ( sk2 @ sk7 ) ) )
& ( ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ( 'const/sets/IN' @ skt2 @ sk7 @ sk3 ) ) ),
inference(cnf,[status(esa)],[34]) ).
thf(42,plain,
( ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ( sk4
= ( sk2 @ sk7 ) ) ),
inference(cnfConj,[status(thm)],[41]) ).
thf(44,plain,
( ( ( sk2 @ sk7 )
= sk4 )
| ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 ) ),
inference(lifteq,[status(thm)],[42]) ).
thf(43,plain,
( ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ( 'const/sets/IN' @ skt2 @ sk7 @ sk3 ) ),
inference(cnfConj,[status(thm)],[41]) ).
thf(11,plain,
( ! [A: skt1] :
( ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
=> ( sk1 @ A ) )
| ! [A: skt2] :
( ( 'const/sets/IN' @ skt2 @ A @ sk3 )
=> ( sk1 @ ( sk2 @ A ) ) ) ),
inference(bool_ext,[status(thm)],[6]) ).
thf(17,plain,
! [B: skt2,A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ A )
| ~ ( 'const/sets/IN' @ skt2 @ B @ sk3 )
| ( sk1 @ ( sk2 @ B ) ) ),
inference(cnf,[status(esa)],[11]) ).
thf(162,plain,
! [B: skt2,A: skt1] :
( ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ~ $true
| ( sk1 @ A )
| ~ ( 'const/sets/IN' @ skt2 @ B @ sk3 )
| ( sk1 @ ( sk2 @ B ) )
| ( ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
!= ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) ) ) ),
inference(paramod_ordered,[status(thm)],[13,17]) ).
thf(163,plain,
! [B: skt2,A: skt1] :
( ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ( sk1 @ A )
| ~ ( 'const/sets/IN' @ skt2 @ B @ sk3 )
| ( sk1 @ ( sk2 @ B ) )
| ( ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
!= ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) ) ) ),
inference(simp,[status(thm)],[162]) ).
thf(164,plain,
! [A: skt2] :
( ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ( sk1 @ sk4 )
| ~ ( 'const/sets/IN' @ skt2 @ A @ sk3 )
| ( sk1 @ ( sk2 @ A ) ) ),
inference(pattern_uni,[status(thm)],[163:[bind(A,$thf( sk4 ))]]) ).
thf(288,plain,
! [A: skt2] :
( ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ( sk1 @ sk4 )
| ~ ( 'const/sets/IN' @ skt2 @ A @ sk3 )
| ( sk1 @ ( sk2 @ A ) ) ),
inference(simp,[status(thm)],[164]) ).
thf(438,plain,
! [A: skt2] :
( ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ( sk1 @ sk4 )
| ~ $true
| ( sk1 @ ( sk2 @ A ) )
| ( ( 'const/sets/IN' @ skt2 @ sk7 @ sk3 )
!= ( 'const/sets/IN' @ skt2 @ A @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[43,288]) ).
thf(439,plain,
! [A: skt2] :
( ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ( sk1 @ sk4 )
| ( sk1 @ ( sk2 @ A ) )
| ( ( 'const/sets/IN' @ skt2 @ sk7 @ sk3 )
!= ( 'const/sets/IN' @ skt2 @ A @ sk3 ) ) ),
inference(simp,[status(thm)],[438]) ).
thf(440,plain,
( ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ( sk1 @ sk4 )
| ( sk1 @ ( sk2 @ sk7 ) ) ),
inference(pattern_uni,[status(thm)],[439:[bind(A,$thf( sk7 ))]]) ).
thf(700,plain,
( ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ( sk1 @ sk4 )
| ( sk1 @ sk4 )
| ( ( sk2 @ sk7 )
!= ( sk2 @ sk7 ) ) ),
inference(paramod_ordered,[status(thm)],[44,440]) ).
thf(701,plain,
( ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ( sk1 @ sk4 )
| ( ( sk2 @ sk7 )
!= ( sk2 @ sk7 ) ) ),
inference(simp,[status(thm)],[700]) ).
thf(702,plain,
( ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ( sk1 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[701:[]]) ).
thf(15,plain,
( ~ ( sk1 @ sk4 )
| ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 ) ),
inference(cnfConj,[status(thm)],[12]) ).
thf(779,plain,
( ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ~ $true
| ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ( ( sk1 @ sk4 )
!= ( sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[702,15]) ).
thf(780,plain,
( ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ( ( sk1 @ sk4 )
!= ( sk1 @ sk4 ) ) ),
inference(simp,[status(thm)],[779]) ).
thf(781,plain,
'const/sets/IN' @ skt2 @ sk5 @ sk3,
inference(pattern_uni,[status(thm)],[780:[]]) ).
thf(19,plain,
! [TA: $tType,TB: $tType,C: TB > TA,B: TB > $o,A: TA] :
( ( 'const/sets/IN' @ TA @ A @ ( 'const/sets/IMAGE' @ TB @ TA @ C @ B ) )
| ~ ? [D: TB] :
( ( A
= ( C @ D ) )
& ( 'const/sets/IN' @ TB @ D @ B ) ) ),
inference(bool_ext,[status(thm)],[9]) ).
thf(24,plain,
! [TA: $tType,TB: $tType,D: TB,C: TB > TA,B: TB > $o,A: TA] :
( ( 'const/sets/IN' @ TA @ A @ ( 'const/sets/IMAGE' @ TB @ TA @ C @ B ) )
| ( A
!= ( C @ D ) )
| ~ ( 'const/sets/IN' @ TB @ D @ B ) ),
inference(cnf,[status(esa)],[19]) ).
thf(25,plain,
! [TA: $tType,TB: $tType,D: TB,C: TB > TA,B: TB > $o,A: TA] :
( ( A
!= ( C @ D ) )
| ( 'const/sets/IN' @ TA @ A @ ( 'const/sets/IMAGE' @ TB @ TA @ C @ B ) )
| ~ ( 'const/sets/IN' @ TB @ D @ B ) ),
inference(lifteq,[status(thm)],[24]) ).
thf(26,plain,
! [TA: $tType,TB: $tType,C: TB,B: TB > TA,A: TB > $o] :
( ( 'const/sets/IN' @ TA @ ( B @ C ) @ ( 'const/sets/IMAGE' @ TB @ TA @ B @ A ) )
| ~ ( 'const/sets/IN' @ TB @ C @ A ) ),
inference(simp,[status(thm)],[25]) ).
thf(1231,plain,
! [TA: $tType,TB: $tType,C: TB,B: TB > TA,A: TB > $o] :
( ( 'const/sets/IN' @ TA @ ( B @ C ) @ ( 'const/sets/IMAGE' @ TB @ TA @ B @ A ) )
| ~ $true
| ( ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
!= ( 'const/sets/IN' @ TB @ C @ A ) ) ),
inference(paramod_ordered,[status(thm)],[781,26]) ).
thf(1232,plain,
! [TA: $tType,TB: $tType,C: TB,B: TB > TA,A: TB > $o] :
( ( 'const/sets/IN' @ TA @ ( B @ C ) @ ( 'const/sets/IMAGE' @ TB @ TA @ B @ A ) )
| ( ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
!= ( 'const/sets/IN' @ TB @ C @ A ) ) ),
inference(simp,[status(thm)],[1231]) ).
thf(1233,plain,
! [TA: $tType,A: skt2 > TA] : ( 'const/sets/IN' @ TA @ ( A @ sk5 ) @ ( 'const/sets/IMAGE' @ skt2 @ TA @ A @ sk3 ) ),
inference(pattern_uni,[status(thm)],[1232:[bind(A,$thf( sk3 )),bind(B,$thf( B )),bind(C,$thf( sk5 )),bind_type(TA,$thf( TA )),bind_type(TB,$thf( skt2 ))]]) ).
thf(1279,plain,
! [TA: $tType,A: skt2 > TA] : ( 'const/sets/IN' @ TA @ ( A @ sk5 ) @ ( 'const/sets/IMAGE' @ skt2 @ TA @ A @ sk3 ) ),
inference(simp,[status(thm)],[1233]) ).
thf(270,plain,
! [B: skt2,A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ A )
| ~ ( 'const/sets/IN' @ skt2 @ B @ sk3 )
| ( ( sk1 @ ( sk2 @ B ) )
!= ( sk1 @ A ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[17]) ).
thf(271,plain,
! [A: skt2] :
( ~ ( 'const/sets/IN' @ skt1 @ ( sk2 @ A ) @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ ( sk2 @ A ) )
| ~ ( 'const/sets/IN' @ skt2 @ A @ sk3 ) ),
inference(pattern_uni,[status(thm)],[270:[bind(A,$thf( sk2 @ C )),bind(B,$thf( C ))]]) ).
thf(281,plain,
! [A: skt2] :
( ~ ( 'const/sets/IN' @ skt1 @ ( sk2 @ A ) @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ ( sk2 @ A ) )
| ~ ( 'const/sets/IN' @ skt2 @ A @ sk3 ) ),
inference(simp,[status(thm)],[271]) ).
thf(17603,plain,
! [TA: $tType,B: skt2,A: skt2 > TA] :
( ~ $true
| ( sk1 @ ( sk2 @ B ) )
| ~ ( 'const/sets/IN' @ skt2 @ B @ sk3 )
| ( ( 'const/sets/IN' @ TA @ ( A @ sk5 ) @ ( 'const/sets/IMAGE' @ skt2 @ TA @ A @ sk3 ) )
!= ( 'const/sets/IN' @ skt1 @ ( sk2 @ B ) @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) ) ) ),
inference(paramod_ordered,[status(thm)],[1279,281]) ).
thf(17604,plain,
! [TA: $tType,B: skt2,A: skt2 > TA] :
( ( sk1 @ ( sk2 @ B ) )
| ~ ( 'const/sets/IN' @ skt2 @ B @ sk3 )
| ( ( 'const/sets/IN' @ TA @ ( A @ sk5 ) @ ( 'const/sets/IMAGE' @ skt2 @ TA @ A @ sk3 ) )
!= ( 'const/sets/IN' @ skt1 @ ( sk2 @ B ) @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) ) ) ),
inference(simp,[status(thm)],[17603]) ).
thf(17925,plain,
( ( sk1 @ ( sk2 @ sk5 ) )
| ~ ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 ) ),
inference(pre_uni,[status(thm)],[17604:[bind(A,$thf( sk2 )),bind(B,$thf( sk5 )),bind_type(TA,$thf( skt1 ))]]) ).
thf(14,plain,
( ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ~ ( sk1 @ ( sk2 @ sk5 ) ) ),
inference(cnfConj,[status(thm)],[12]) ).
thf(151,plain,
! [B: skt2,A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ A )
| ~ ( 'const/sets/IN' @ skt2 @ B @ sk3 )
| ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ~ $true
| ( ( sk1 @ ( sk2 @ B ) )
!= ( sk1 @ ( sk2 @ sk5 ) ) ) ),
inference(paramod_ordered,[status(thm)],[17,14]) ).
thf(152,plain,
! [B: skt2,A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ A )
| ~ ( 'const/sets/IN' @ skt2 @ B @ sk3 )
| ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( ( sk1 @ ( sk2 @ B ) )
!= ( sk1 @ ( sk2 @ sk5 ) ) ) ),
inference(simp,[status(thm)],[151]) ).
thf(153,plain,
! [A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ A )
| ~ ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[152:[bind(A,$thf( A )),bind(B,$thf( sk5 ))]]) ).
thf(4406,plain,
! [A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ A )
| ~ $true
| ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) ) ),
inference(rewrite,[status(thm)],[153,781]) ).
thf(4407,plain,
! [A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ A )
| ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) ) ),
inference(simp,[status(thm)],[4406]) ).
thf(4486,plain,
! [TA: $tType,B: skt1,A: skt2 > TA] :
( ~ $true
| ( sk1 @ B )
| ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( ( 'const/sets/IN' @ TA @ ( A @ sk5 ) @ ( 'const/sets/IMAGE' @ skt2 @ TA @ A @ sk3 ) )
!= ( 'const/sets/IN' @ skt1 @ B @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) ) ) ),
inference(paramod_ordered,[status(thm)],[1279,4407]) ).
thf(4487,plain,
! [TA: $tType,B: skt1,A: skt2 > TA] :
( ( sk1 @ B )
| ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( ( 'const/sets/IN' @ TA @ ( A @ sk5 ) @ ( 'const/sets/IMAGE' @ skt2 @ TA @ A @ sk3 ) )
!= ( 'const/sets/IN' @ skt1 @ B @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) ) ) ),
inference(simp,[status(thm)],[4486]) ).
thf(4626,plain,
( ( sk1 @ ( sk2 @ sk5 ) )
| ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) ) ),
inference(pre_uni,[status(thm)],[4487:[bind(A,$thf( sk2 )),bind(B,$thf( sk2 @ sk5 )),bind_type(TA,$thf( skt1 ))]]) ).
thf(4966,plain,
( ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ~ $true
| ( ( sk1 @ ( sk2 @ sk5 ) )
!= ( sk1 @ ( sk2 @ sk5 ) ) ) ),
inference(paramod_ordered,[status(thm)],[4626,14]) ).
thf(4967,plain,
( ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( ( sk1 @ ( sk2 @ sk5 ) )
!= ( sk1 @ ( sk2 @ sk5 ) ) ) ),
inference(simp,[status(thm)],[4966]) ).
thf(4968,plain,
'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ),
inference(pattern_uni,[status(thm)],[4967:[]]) ).
thf(59,plain,
! [TA: $tType,TB: $tType,C: TB > TA,B: TB > $o,A: TA] :
( ? [D: TB] :
( ( A
= ( C @ D ) )
& ( 'const/sets/IN' @ TB @ D @ B ) )
| ~ ( sk1 @ ( sk2 @ sk5 ) )
| ( ( 'const/sets/IN' @ TA @ A @ ( 'const/sets/IMAGE' @ TB @ TA @ C @ B ) )
!= ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) ) ) ),
inference(paramod_ordered,[status(thm)],[9,14]) ).
thf(60,plain,
( ? [A: skt2] :
( ( sk4
= ( sk2 @ A ) )
& ( 'const/sets/IN' @ skt2 @ A @ sk3 ) )
| ~ ( sk1 @ ( sk2 @ sk5 ) ) ),
inference(pattern_uni,[status(thm)],[59:[bind(A,$thf( sk4 )),bind(B,$thf( sk3 )),bind(C,$thf( sk2 )),bind_type(TA,$thf( skt1 )),bind_type(TB,$thf( skt2 ))]]) ).
thf(65,plain,
( ( ( sk4
= ( sk2 @ sk10 ) )
| ~ ( sk1 @ ( sk2 @ sk5 ) ) )
& ( ( 'const/sets/IN' @ skt2 @ sk10 @ sk3 )
| ~ ( sk1 @ ( sk2 @ sk5 ) ) ) ),
inference(cnf,[status(esa)],[60]) ).
thf(66,plain,
( ( sk4
= ( sk2 @ sk10 ) )
| ~ ( sk1 @ ( sk2 @ sk5 ) ) ),
inference(cnfConj,[status(thm)],[65]) ).
thf(68,plain,
( ( ( sk2 @ sk10 )
= sk4 )
| ~ ( sk1 @ ( sk2 @ sk5 ) ) ),
inference(lifteq,[status(thm)],[66]) ).
thf(305,plain,
! [B: skt2,A: skt1] :
( ~ ( sk1 @ ( sk2 @ sk5 ) )
| ~ ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ A )
| ~ ( 'const/sets/IN' @ skt2 @ B @ sk3 )
| ( sk1 @ sk4 )
| ( ( sk2 @ sk10 )
!= ( sk2 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[68,17]) ).
thf(306,plain,
! [A: skt1] :
( ~ ( sk1 @ ( sk2 @ sk5 ) )
| ~ ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ A )
| ~ ( 'const/sets/IN' @ skt2 @ sk10 @ sk3 )
| ( sk1 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[305:[bind(A,$thf( A )),bind(B,$thf( sk10 ))]]) ).
thf(67,plain,
( ( 'const/sets/IN' @ skt2 @ sk10 @ sk3 )
| ~ ( sk1 @ ( sk2 @ sk5 ) ) ),
inference(cnfConj,[status(thm)],[65]) ).
thf(233,plain,
! [B: skt2,A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ A )
| ~ ( 'const/sets/IN' @ skt2 @ B @ sk3 )
| ( 'const/sets/IN' @ skt2 @ sk10 @ sk3 )
| ~ $true
| ( ( sk1 @ ( sk2 @ B ) )
!= ( sk1 @ ( sk2 @ sk5 ) ) ) ),
inference(paramod_ordered,[status(thm)],[17,67]) ).
thf(234,plain,
! [B: skt2,A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ A )
| ~ ( 'const/sets/IN' @ skt2 @ B @ sk3 )
| ( 'const/sets/IN' @ skt2 @ sk10 @ sk3 )
| ( ( sk1 @ ( sk2 @ B ) )
!= ( sk1 @ ( sk2 @ sk5 ) ) ) ),
inference(simp,[status(thm)],[233]) ).
thf(235,plain,
! [A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ A )
| ~ ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ( 'const/sets/IN' @ skt2 @ sk10 @ sk3 ) ),
inference(pattern_uni,[status(thm)],[234:[bind(A,$thf( A )),bind(B,$thf( sk5 ))]]) ).
thf(13718,plain,
! [A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ A )
| ~ $true
| ( 'const/sets/IN' @ skt2 @ sk10 @ sk3 ) ),
inference(rewrite,[status(thm)],[235,781]) ).
thf(13719,plain,
! [A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ A )
| ( 'const/sets/IN' @ skt2 @ sk10 @ sk3 ) ),
inference(simp,[status(thm)],[13718]) ).
thf(13865,plain,
! [A: skt1] :
( ~ $true
| ( sk1 @ A )
| ( 'const/sets/IN' @ skt2 @ sk10 @ sk3 )
| ( ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
!= ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) ) ) ),
inference(paramod_ordered,[status(thm)],[4968,13719]) ).
thf(13866,plain,
! [A: skt1] :
( ( sk1 @ A )
| ( 'const/sets/IN' @ skt2 @ sk10 @ sk3 )
| ( ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
!= ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) ) ) ),
inference(simp,[status(thm)],[13865]) ).
thf(13867,plain,
( ( sk1 @ sk4 )
| ( 'const/sets/IN' @ skt2 @ sk10 @ sk3 ) ),
inference(pattern_uni,[status(thm)],[13866:[bind(A,$thf( sk4 ))]]) ).
thf(16,plain,
( ~ ( sk1 @ sk4 )
| ~ ( sk1 @ ( sk2 @ sk5 ) ) ),
inference(cnfConj,[status(thm)],[12]) ).
thf(29,plain,
( ~ ( sk1 @ sk4 )
| ( ( sk1 @ ( sk2 @ sk5 ) )
!= ( sk1 @ sk4 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[16]) ).
thf(30,plain,
( ~ ( sk1 @ sk4 )
| ( ( sk1 @ ( sk2 @ sk5 ) )
!= ( sk1 @ sk4 ) ) ),
inference(simp,[status(thm)],[29]) ).
thf(201,plain,
! [B: skt2,A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ A )
| ~ ( 'const/sets/IN' @ skt2 @ B @ sk3 )
| ~ ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( ( sk1 @ ( sk2 @ B ) )
!= ( sk1 @ ( sk2 @ sk5 ) ) ) ),
inference(paramod_ordered,[status(thm)],[17,30]) ).
thf(202,plain,
! [B: skt2,A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ A )
| ~ ( 'const/sets/IN' @ skt2 @ B @ sk3 )
| ~ ( sk1 @ sk4 )
| ( ( sk1 @ ( sk2 @ B ) )
!= ( sk1 @ ( sk2 @ sk5 ) ) ) ),
inference(simp,[status(thm)],[201]) ).
thf(203,plain,
! [A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ A )
| ~ ( 'const/sets/IN' @ skt2 @ sk5 @ sk3 )
| ~ ( sk1 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[202:[bind(A,$thf( A )),bind(B,$thf( sk5 ))]]) ).
thf(8424,plain,
! [A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ A )
| ~ $true
| ~ ( sk1 @ sk4 ) ),
inference(rewrite,[status(thm)],[203,781]) ).
thf(8425,plain,
! [A: skt1] :
( ~ ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ A )
| ~ ( sk1 @ sk4 ) ),
inference(simp,[status(thm)],[8424]) ).
thf(8474,plain,
! [TA: $tType,B: skt1,A: skt2 > TA] :
( ~ $true
| ( sk1 @ B )
| ~ ( sk1 @ sk4 )
| ( ( 'const/sets/IN' @ TA @ ( A @ sk5 ) @ ( 'const/sets/IMAGE' @ skt2 @ TA @ A @ sk3 ) )
!= ( 'const/sets/IN' @ skt1 @ B @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) ) ) ),
inference(paramod_ordered,[status(thm)],[1279,8425]) ).
thf(8475,plain,
! [TA: $tType,B: skt1,A: skt2 > TA] :
( ( sk1 @ B )
| ~ ( sk1 @ sk4 )
| ( ( 'const/sets/IN' @ TA @ ( A @ sk5 ) @ ( 'const/sets/IMAGE' @ skt2 @ TA @ A @ sk3 ) )
!= ( 'const/sets/IN' @ skt1 @ B @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) ) ) ),
inference(simp,[status(thm)],[8474]) ).
thf(8644,plain,
( ( sk1 @ ( sk2 @ sk5 ) )
| ~ ( sk1 @ sk4 ) ),
inference(pre_uni,[status(thm)],[8475:[bind(A,$thf( sk2 )),bind(B,$thf( sk2 @ sk5 )),bind_type(TA,$thf( skt1 ))]]) ).
thf(12819,plain,
( ~ ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ $true
| ( ( sk1 @ ( sk2 @ sk5 ) )
!= ( sk1 @ ( sk2 @ sk5 ) ) ) ),
inference(paramod_ordered,[status(thm)],[8644,16]) ).
thf(12820,plain,
( ~ ( sk1 @ sk4 )
| ( ( sk1 @ ( sk2 @ sk5 ) )
!= ( sk1 @ ( sk2 @ sk5 ) ) ) ),
inference(simp,[status(thm)],[12819]) ).
thf(12821,plain,
~ ( sk1 @ sk4 ),
inference(pattern_uni,[status(thm)],[12820:[]]) ).
thf(13951,plain,
( $false
| ( 'const/sets/IN' @ skt2 @ sk10 @ sk3 ) ),
inference(rewrite,[status(thm)],[13867,12821]) ).
thf(13952,plain,
'const/sets/IN' @ skt2 @ sk10 @ sk3,
inference(simp,[status(thm)],[13951]) ).
thf(20103,plain,
! [A: skt1] :
( ~ ( sk1 @ ( sk2 @ sk5 ) )
| ~ ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ A )
| ~ $true
| $false ),
inference(rewrite,[status(thm)],[306,13952,12821]) ).
thf(20104,plain,
! [A: skt1] :
( ~ ( sk1 @ ( sk2 @ sk5 ) )
| ~ ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
| ( sk1 @ A ) ),
inference(simp,[status(thm)],[20103]) ).
thf(20300,plain,
! [A: skt1] :
( ~ ( sk1 @ ( sk2 @ sk5 ) )
| ~ $true
| ( sk1 @ A )
| ( ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
!= ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) ) ) ),
inference(paramod_ordered,[status(thm)],[4968,20104]) ).
thf(20301,plain,
! [A: skt1] :
( ~ ( sk1 @ ( sk2 @ sk5 ) )
| ( sk1 @ A )
| ( ( 'const/sets/IN' @ skt1 @ sk4 @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) )
!= ( 'const/sets/IN' @ skt1 @ A @ ( 'const/sets/IMAGE' @ skt2 @ skt1 @ sk2 @ sk3 ) ) ) ),
inference(simp,[status(thm)],[20300]) ).
thf(20302,plain,
( ~ ( sk1 @ ( sk2 @ sk5 ) )
| ( sk1 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[20301:[bind(A,$thf( sk4 ))]]) ).
thf(20411,plain,
( ~ ( sk1 @ ( sk2 @ sk5 ) )
| $false ),
inference(rewrite,[status(thm)],[20302,12821]) ).
thf(20412,plain,
~ ( sk1 @ ( sk2 @ sk5 ) ),
inference(simp,[status(thm)],[20411]) ).
thf(23523,plain,
( $false
| ~ $true ),
inference(rewrite,[status(thm)],[17925,20412,781]) ).
thf(23524,plain,
$false,
inference(simp,[status(thm)],[23523]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV465^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.09/0.19 % Computer : n020.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 15:50:04 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.85/0.77 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.16/0.96 % [INFO] Parsing done (185ms).
% 1.16/0.98 % [INFO] Running in sequential loop mode.
% 1.75/1.37 % [INFO] eprover registered as external prover.
% 1.75/1.38 % [INFO] Scanning for conjecture ...
% 1.94/1.48 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 2.08/1.52 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.08/1.53 % [INFO] Problem is higher-order (TPTP THF).
% 2.08/1.53 % [INFO] Type checking passed.
% 2.08/1.54 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 123.19/62.51 % [INFO] Killing All external provers ...
% 123.19/62.51 % Time passed: 62176ms (effective reasoning time: 61528ms)
% 123.19/62.51 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 123.19/62.51 % Axioms used in derivation (1): thm/sets/IN_IMAGE_
% 123.19/62.51 % No. of inferences in proof: 101
% 123.19/62.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 62176 ms resp. 61528 ms w/o parsing
% 123.19/62.56 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 123.19/62.57 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------