%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NUM600+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n026.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 : Sun Sep 27 08:09:16 AM UTC 2026
% Result : Theorem 159.53s 87.44s
% Output : Refutation 159.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 13 unt; 0 typ; 4 def)
% Number of atoms : 187 ( 68 equ; 0 cnn)
% Maximal formula atoms : 21 ( 5 avg)
% Number of connectives : 747 ( 55 ~; 51 |; 69 &; 551 @)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 23 usr; 11 con; 0-2 aty)
% Number of variables : 53 ( 3 ^; 33 !; 13 ?; 53 :)
% ( 0 !>; 0 ?*; 0 @-; 4 @+)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_decl,type,
aSet0: $i > $o ).
thf(aElementOf0_decl,type,
aElementOf0: $i > $i > $o ).
thf(aSubsetOf0_decl,type,
aSubsetOf0: $i > $i > $o ).
thf(szNzAzT0_decl,type,
szNzAzT0: $i ).
thf(szszuzczcdt0_decl,type,
szszuzczcdt0: $i > $i ).
thf(slbdtsldtrb0_decl,type,
slbdtsldtrb0: $i > $i > $i ).
thf(sbrdtbr0_decl,type,
sbrdtbr0: $i > $i ).
thf(aFunction0_decl,type,
aFunction0: $i > $o ).
thf(sdtlbdtrb0_decl,type,
sdtlbdtrb0: $i > $i > $i ).
thf(szDzozmdt0_decl,type,
szDzozmdt0: $i > $i ).
thf(sdtlpdtrp0_decl,type,
sdtlpdtrp0: $i > $i > $i ).
thf(sdtlcdtrc0_decl,type,
sdtlcdtrc0: $i > $i > $i ).
thf(xd_decl,type,
xd: $i ).
thf(szDzizrdt0_decl,type,
szDzizrdt0: $i > $i ).
thf(xe_decl,type,
xe: $i ).
thf(xO_decl,type,
xO: $i ).
thf(xN_decl,type,
xN: $i ).
thf(xk_decl,type,
xk: $i ).
thf(xC_decl,type,
xC: $i ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk24_decl,type,
sk24: $i > $i ).
thf(sk67_decl,type,
sk67: $i > $i > $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ( ( ( xO @ ( A @ aElementOf0 ) )
& ? [B: $i] :
( ( ( B @ ( xe @ sdtlpdtrp0 ) )
= A )
& ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( B @ aElementOf0 ) ) ) )
=> ? [B: $i] :
( ( ( B @ ( xe @ sdtlpdtrp0 ) )
= A )
& ( ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( B @ aElementOf0 ) )
| ( ( B @ ( xd @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) ) )
& ( szNzAzT0 @ ( B @ aElementOf0 ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $i] :
( ( ( A @ ( xe @ sdtlpdtrp0 ) )
= sk1 )
& ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( A @ aElementOf0 ) ) ) ) ) ).
thf(sk24_def,definition,
( sk24
= ( ^ [A: $i] :
@+[B: $i] :
( ( ( B @ ( xe @ sdtlpdtrp0 ) )
= A )
& ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( B @ aElementOf0 ) ) ) ) ) ).
thf(sk67_def,definition,
( sk67
= ( ^ [A: $i,B: $i] :
@+[C: $i] :
~ ( ( A @ ( C @ aElementOf0 ) )
=> ( B @ szszuzczcdt0 @ ( xN @ sdtlpdtrp0 ) @ ( C @ aElementOf0 ) ) ) ) ) ).
thf(1,conjecture,
! [A: $i] :
( ( ( xO @ ( A @ aElementOf0 ) )
& ? [B: $i] :
( ( ( B @ ( xe @ sdtlpdtrp0 ) )
= A )
& ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( B @ aElementOf0 ) ) ) )
=> ? [B: $i] :
( ( ( B @ ( xe @ sdtlpdtrp0 ) )
= A )
& ( ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( B @ aElementOf0 ) )
| ( ( B @ ( xd @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) ) )
& ( szNzAzT0 @ ( B @ aElementOf0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( ( xO @ ( A @ aElementOf0 ) )
& ? [B: $i] :
( ( ( B @ ( xe @ sdtlpdtrp0 ) )
= A )
& ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( B @ aElementOf0 ) ) ) )
=> ? [B: $i] :
( ( ( B @ ( xe @ sdtlpdtrp0 ) )
= A )
& ( ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( B @ aElementOf0 ) )
| ( ( B @ ( xd @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) ) )
& ( szNzAzT0 @ ( B @ aElementOf0 ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(99,plain,
~ ! [A: $i] :
( ( ( xO @ ( A @ aElementOf0 ) )
& ? [B: $i] :
( ( ( B @ ( xe @ sdtlpdtrp0 ) )
= A )
& ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( B @ aElementOf0 ) ) ) )
=> ? [B: $i] :
( ( ( B @ ( xe @ sdtlpdtrp0 ) )
= A )
& ( ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( B @ aElementOf0 ) )
| ( ( B @ ( xd @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) ) )
& ( szNzAzT0 @ ( B @ aElementOf0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(100,plain,
! [A: $i] :
( ( ( ( A @ ( xe @ sdtlpdtrp0 ) )
!= sk1 )
| ~ ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( A @ aElementOf0 ) )
| ~ ( szNzAzT0 @ ( A @ aElementOf0 ) ) )
& ( ( ( A @ ( xe @ sdtlpdtrp0 ) )
!= sk1 )
| ( ( A @ ( xd @ sdtlpdtrp0 ) )
!= ( xd @ szDzizrdt0 ) )
| ~ ( szNzAzT0 @ ( A @ aElementOf0 ) ) )
& ( xO @ ( sk1 @ aElementOf0 ) )
& ( ( sk2 @ ( xe @ sdtlpdtrp0 ) )
= sk1 )
& ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( sk2 @ aElementOf0 ) ) ),
inference(cnf,[status(esa)],[99]) ).
thf(103,plain,
xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( sk2 @ aElementOf0 ),
inference(cnfConj,[status(thm)],[100]) ).
thf(53,axiom,
( ( xO
= ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( xe @ sdtlcdtrc0 ) ) )
& ! [A: $i] :
( ( xO @ ( A @ aElementOf0 ) )
<=> ? [B: $i] :
( ( ( B @ ( xe @ sdtlpdtrp0 ) )
= A )
& ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( B @ aElementOf0 ) ) ) )
& ! [A: $i] :
( ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( A @ aElementOf0 ) )
<=> ( ( ( A @ ( xd @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) )
& ( xd @ szDzozmdt0 @ ( A @ aElementOf0 ) ) ) )
& ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ aSet0 )
& ( xO @ aSet0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4891) ).
thf(370,plain,
( ( xO
= ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( xe @ sdtlcdtrc0 ) ) )
& ! [A: $i] :
( ( ? [B: $i] :
( ( ( B @ ( xe @ sdtlpdtrp0 ) )
= A )
& ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( B @ aElementOf0 ) ) )
=> ( xO @ ( A @ aElementOf0 ) ) )
& ( ( xO @ ( A @ aElementOf0 ) )
=> ? [B: $i] :
( ( ( B @ ( xe @ sdtlpdtrp0 ) )
= A )
& ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( B @ aElementOf0 ) ) ) ) )
& ! [A: $i] :
( ( ( ( ( A @ ( xd @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) )
& ( xd @ szDzozmdt0 @ ( A @ aElementOf0 ) ) )
=> ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( A @ aElementOf0 ) ) )
& ( ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( A @ aElementOf0 ) )
=> ( ( ( A @ ( xd @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) )
& ( xd @ szDzozmdt0 @ ( A @ aElementOf0 ) ) ) ) )
& ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ aSet0 )
& ( xO @ aSet0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(371,plain,
( ( xO
= ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( xe @ sdtlcdtrc0 ) ) )
& ! [A: $i] :
( ? [B: $i] :
( ( ( B @ ( xe @ sdtlpdtrp0 ) )
= A )
& ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( B @ aElementOf0 ) ) )
=> ( xO @ ( A @ aElementOf0 ) ) )
& ! [A: $i] :
( ( xO @ ( A @ aElementOf0 ) )
=> ? [B: $i] :
( ( ( B @ ( xe @ sdtlpdtrp0 ) )
= A )
& ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( B @ aElementOf0 ) ) ) )
& ! [A: $i] :
( ( ( ( A @ ( xd @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) )
& ( xd @ szDzozmdt0 @ ( A @ aElementOf0 ) ) )
=> ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( A @ aElementOf0 ) ) )
& ! [A: $i] :
( ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( A @ aElementOf0 ) )
=> ( ( ( A @ ( xd @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) )
& ( xd @ szDzozmdt0 @ ( A @ aElementOf0 ) ) ) )
& ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ aSet0 )
& ( xO @ aSet0 ) ),
inference(miniscope,[status(thm)],[370]) ).
thf(372,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( xO
= ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( xe @ sdtlcdtrc0 ) ) )
& ( ( xO @ ( D @ aElementOf0 ) )
| ( ( E @ ( xe @ sdtlpdtrp0 ) )
!= D )
| ~ ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( E @ aElementOf0 ) ) )
& ( ( ( C @ sk24 @ ( xe @ sdtlpdtrp0 ) )
= C )
| ~ ( xO @ ( C @ aElementOf0 ) ) )
& ( ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( C @ sk24 @ aElementOf0 ) )
| ~ ( xO @ ( C @ aElementOf0 ) ) )
& ( ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( B @ aElementOf0 ) )
| ( ( B @ ( xd @ sdtlpdtrp0 ) )
!= ( xd @ szDzizrdt0 ) )
| ~ ( xd @ szDzozmdt0 @ ( B @ aElementOf0 ) ) )
& ( ( ( A @ ( xd @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) )
| ~ ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( A @ aElementOf0 ) ) )
& ( ( xd @ szDzozmdt0 @ ( A @ aElementOf0 ) )
| ~ ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( A @ aElementOf0 ) ) )
& ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ aSet0 )
& ( xO @ aSet0 ) ),
inference(cnf,[status(esa)],[371]) ).
thf(376,plain,
! [A: $i] :
( ( xd @ szDzozmdt0 @ ( A @ aElementOf0 ) )
| ~ ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( A @ aElementOf0 ) ) ),
inference(cnfConj,[status(thm)],[372]) ).
thf(93,axiom,
( ! [A: $i] :
( ( szNzAzT0 @ ( A @ aElementOf0 ) )
=> ! [B: $i] :
( ( ( ( xk @ ( A @ szszuzczcdt0 @ ( xN @ sdtlpdtrp0 ) @ slbdtsldtrb0 ) @ ( B @ aElementOf0 ) )
| ( ( ( B @ sbrdtbr0 )
= xk )
& ( ( A @ szszuzczcdt0 @ ( xN @ sdtlpdtrp0 ) @ ( B @ aSubsetOf0 ) )
| ! [C: $i] :
( ( B @ ( C @ aElementOf0 ) )
=> ( A @ szszuzczcdt0 @ ( xN @ sdtlpdtrp0 ) @ ( C @ aElementOf0 ) ) ) ) ) )
& ( B @ aSet0 ) )
=> ( ( A @ ( xd @ sdtlpdtrp0 ) )
= ( B @ ( A @ ( xC @ sdtlpdtrp0 ) @ sdtlpdtrp0 ) ) ) ) )
& ( ( xd @ szDzozmdt0 )
= szNzAzT0 )
& ( xd @ aFunction0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
thf(967,plain,
( ! [A: $i] :
( ( szNzAzT0 @ ( A @ aElementOf0 ) )
=> ! [B: $i] :
( ( ( ( xk @ ( A @ szszuzczcdt0 @ ( xN @ sdtlpdtrp0 ) @ slbdtsldtrb0 ) @ ( B @ aElementOf0 ) )
| ( ( ( B @ sbrdtbr0 )
= xk )
& ( ( A @ szszuzczcdt0 @ ( xN @ sdtlpdtrp0 ) @ ( B @ aSubsetOf0 ) )
| ! [C: $i] :
( ( B @ ( C @ aElementOf0 ) )
=> ( A @ szszuzczcdt0 @ ( xN @ sdtlpdtrp0 ) @ ( C @ aElementOf0 ) ) ) ) ) )
& ( B @ aSet0 ) )
=> ( ( A @ ( xd @ sdtlpdtrp0 ) )
= ( B @ ( A @ ( xC @ sdtlpdtrp0 ) @ sdtlpdtrp0 ) ) ) ) )
& ( ( xd @ szDzozmdt0 )
= szNzAzT0 )
& ( xd @ aFunction0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(968,plain,
! [B: $i,A: $i] :
( ( ( ( A @ ( xd @ sdtlpdtrp0 ) )
= ( B @ ( A @ ( xC @ sdtlpdtrp0 ) @ sdtlpdtrp0 ) ) )
| ~ ( xk @ ( A @ szszuzczcdt0 @ ( xN @ sdtlpdtrp0 ) @ slbdtsldtrb0 ) @ ( B @ aElementOf0 ) )
| ~ ( B @ aSet0 )
| ~ ( szNzAzT0 @ ( A @ aElementOf0 ) ) )
& ( ( ( A @ ( xd @ sdtlpdtrp0 ) )
= ( B @ ( A @ ( xC @ sdtlpdtrp0 ) @ sdtlpdtrp0 ) ) )
| ( ( B @ sbrdtbr0 )
!= xk )
| ~ ( A @ szszuzczcdt0 @ ( xN @ sdtlpdtrp0 ) @ ( B @ aSubsetOf0 ) )
| ~ ( B @ aSet0 )
| ~ ( szNzAzT0 @ ( A @ aElementOf0 ) ) )
& ( ( ( A @ ( xd @ sdtlpdtrp0 ) )
= ( B @ ( A @ ( xC @ sdtlpdtrp0 ) @ sdtlpdtrp0 ) ) )
| ( ( B @ sbrdtbr0 )
!= xk )
| ~ ( A @ szszuzczcdt0 @ ( xN @ sdtlpdtrp0 ) @ ( A @ ( B @ sk67 ) @ aElementOf0 ) )
| ~ ( B @ aSet0 )
| ~ ( szNzAzT0 @ ( A @ aElementOf0 ) ) )
& ( ( ( A @ ( xd @ sdtlpdtrp0 ) )
= ( B @ ( A @ ( xC @ sdtlpdtrp0 ) @ sdtlpdtrp0 ) ) )
| ( ( B @ sbrdtbr0 )
!= xk )
| ( B @ ( A @ ( B @ sk67 ) @ aElementOf0 ) )
| ~ ( B @ aSet0 )
| ~ ( szNzAzT0 @ ( A @ aElementOf0 ) ) )
& ( ( xd @ szDzozmdt0 )
= szNzAzT0 )
& ( xd @ aFunction0 ) ),
inference(cnf,[status(esa)],[967]) ).
thf(971,plain,
( ( xd @ szDzozmdt0 )
= szNzAzT0 ),
inference(cnfConj,[status(thm)],[968]) ).
thf(978,plain,
( ( xd @ szDzozmdt0 )
= szNzAzT0 ),
inference(lifteq,[status(thm)],[971]) ).
thf(129949,plain,
! [A: $i] :
( ( szNzAzT0 @ ( A @ aElementOf0 ) )
| ~ ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( A @ aElementOf0 ) ) ),
inference(rewrite,[status(thm)],[376,978]) ).
thf(130073,plain,
! [A: $i] :
( ( ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( sk2 @ aElementOf0 ) )
!= ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( A @ aElementOf0 ) ) )
| ( szNzAzT0 @ ( A @ aElementOf0 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[103,129949]) ).
thf(130074,plain,
! [A: $i] :
( ( ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( sk2 @ aElementOf0 ) )
!= ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( A @ aElementOf0 ) ) )
| ( szNzAzT0 @ ( A @ aElementOf0 ) ) ),
inference(simp,[status(thm)],[130073]) ).
thf(130075,plain,
szNzAzT0 @ ( sk2 @ aElementOf0 ),
inference(pattern_uni,[status(thm)],[130074:[bind(A,$thf( sk2 ))]]) ).
thf(104,plain,
! [A: $i] :
( ( ( A @ ( xe @ sdtlpdtrp0 ) )
!= sk1 )
| ~ ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( A @ aElementOf0 ) )
| ~ ( szNzAzT0 @ ( A @ aElementOf0 ) ) ),
inference(cnfConj,[status(thm)],[100]) ).
thf(108,plain,
! [A: $i] :
( ~ ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( A @ aElementOf0 ) )
| ~ ( szNzAzT0 @ ( A @ aElementOf0 ) )
| ( ( A @ ( xe @ sdtlpdtrp0 ) )
!= sk1 ) ),
inference(lifteq,[status(thm)],[104]) ).
thf(1065,plain,
! [A: $i] :
( ( ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( sk2 @ aElementOf0 ) )
!= ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( A @ aElementOf0 ) ) )
| ~ $true
| ~ ( szNzAzT0 @ ( A @ aElementOf0 ) )
| ( ( A @ ( xe @ sdtlpdtrp0 ) )
!= sk1 ) ),
inference(paramod_ordered,[status(thm)],[103,108]) ).
thf(1066,plain,
! [A: $i] :
( ( ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( sk2 @ aElementOf0 ) )
!= ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( A @ aElementOf0 ) ) )
| ~ ( szNzAzT0 @ ( A @ aElementOf0 ) )
| ( ( A @ ( xe @ sdtlpdtrp0 ) )
!= sk1 ) ),
inference(simp,[status(thm)],[1065]) ).
thf(1067,plain,
( ~ ( szNzAzT0 @ ( sk2 @ aElementOf0 ) )
| ( ( sk2 @ ( xe @ sdtlpdtrp0 ) )
!= sk1 ) ),
inference(pattern_uni,[status(thm)],[1066:[bind(A,$thf( sk2 ))]]) ).
thf(102,plain,
( ( sk2 @ ( xe @ sdtlpdtrp0 ) )
= sk1 ),
inference(cnfConj,[status(thm)],[100]) ).
thf(106,plain,
( ( sk2 @ ( xe @ sdtlpdtrp0 ) )
= sk1 ),
inference(lifteq,[status(thm)],[102]) ).
thf(1086,plain,
( ~ ( szNzAzT0 @ ( sk2 @ aElementOf0 ) )
| ( sk1 != sk1 ) ),
inference(rewrite,[status(thm)],[1067,106]) ).
thf(1087,plain,
~ ( szNzAzT0 @ ( sk2 @ aElementOf0 ) ),
inference(simp,[status(thm)],[1086]) ).
thf(130276,plain,
$false,
inference(rewrite,[status(thm)],[130075,1087]) ).
thf(130277,plain,
$false,
inference(simp,[status(thm)],[130276]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM600+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.13/0.41 % Computer : n026.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sat Sep 26 03:26:41 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.83/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.36/1.27 % [INFO] Parsing done (271ms).
% 1.36/1.28 % [INFO] Running in sequential loop mode.
% 2.39/1.67 % [INFO] eprover registered as external prover.
% 2.39/1.68 % [INFO] Scanning for conjecture ...
% 2.60/1.74 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.60/1.75 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.60/1.77 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.60/1.77 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.60/1.79 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.60/1.79 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.81/1.80 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.81/1.80 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.81/1.81 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.81/1.82 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.81/1.82 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.81/1.87 % [INFO] Found a conjecture (or negated_conjecture) and 96 axioms. Running axiom selection ...
% 3.00/2.01 % [INFO] Axiom selection finished. Selected 96 axioms (removed 0 axioms).
% 3.00/2.04 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.52/2.07 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.52/2.07 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.52/2.09 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.52/2.09 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.52/2.09 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.52/2.11 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.52/2.12 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.52/2.12 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.52/2.12 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.52/2.14 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.52/2.14 % [INFO] Problem is first-order (TPTP FOF).
% 3.75/2.16 % [INFO] Type checking passed.
% 3.75/2.17 % [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 ...
% 159.53/87.43 % [INFO] Killing All external provers ...
% 159.53/87.44 % Time passed: 86882ms (effective reasoning time: 86147ms)
% 159.53/87.44 % 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)>
% 159.53/87.44 % Axioms used in derivation (2): m__4891, m__4730
% 159.53/87.44 % No. of inferences in proof: 30
% 159.53/87.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 86882 ms resp. 86147 ms w/o parsing
% 159.74/87.53 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 159.74/87.53 % [INFO] Killing All external provers ...
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