%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LAT282+2 : TPTP v9.3.1. Released v3.4.0.
% 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 : n002.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 07:46:58 AM UTC 2026
% Result : ContradictoryAxioms 171.45s 48.46s
% Output : Refutation 166.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 12
% Syntax : Number of formulae : 74 ( 37 unt; 0 typ; 3 def)
% Number of atoms : 174 ( 93 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 454 ( 66 ~; 39 |; 30 &; 303 @)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 147 ( 1 ^; 130 !; 13 ?; 147 :)
% ( 0 !>; 0 ?*; 0 @-; 3 @+)
% Comments :
%------------------------------------------------------------------------------
thf(v1_xboole_0_decl,type,
v1_xboole_0: $i > $o ).
thf(r2_hidden_decl,type,
r2_hidden: $i > $i > $o ).
thf(r1_tarski_decl,type,
r1_tarski: $i > $i > $o ).
thf(r1_xboole_0_decl,type,
r1_xboole_0: $i > $i > $o ).
thf(k2_zfmisc_1_decl,type,
k2_zfmisc_1: $i > $i > $i ).
thf(k1_xboole_0_decl,type,
k1_xboole_0: $i ).
thf(k2_xboole_0_decl,type,
k2_xboole_0: $i > $i > $i ).
thf(k3_xboole_0_decl,type,
k3_xboole_0: $i > $i > $i ).
thf(sk13_decl,type,
sk13: $i > $i ).
thf(sk317_decl,type,
sk317: $i > $i > $i ).
thf(sk371_decl,type,
sk371: $i ).
thf(sk13_def,definition,
( sk13
= ( ^ [A: $i] :
@+[B: $i] :
( ! [C: $i] :
( ? [D: $i] :
( ? [E: $i] :
( ? [F: $i] :
( ( B @ ( F @ r2_hidden ) )
& ( F @ ( E @ r2_hidden ) ) )
& ( E @ ( D @ r2_hidden ) ) )
& ( D @ ( C @ r2_hidden ) ) )
=> ( A @ ( C @ r1_xboole_0 ) ) )
& ( A @ ( B @ r2_hidden ) ) ) ) ) ).
thf(sk317_def,definition,
( sk317
= ( @+[A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ k2_zfmisc_1 ) @ ( C @ A ) )
= B ) ) ) ).
thf(sk371_def,definition,
( sk371
= ( @+[A: $i] :
~ ( A @ v1_xboole_0 ) ) ) ).
thf(198,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ k2_zfmisc_1 ) )
= k1_xboole_0 )
<=> ( ( B = k1_xboole_0 )
| ( A = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t113_zfmisc_1) ).
thf(2166,plain,
! [A: $i,B: $i] :
( ( ( ( B = k1_xboole_0 )
| ( A = k1_xboole_0 ) )
=> ( ( B @ ( A @ k2_zfmisc_1 ) )
= k1_xboole_0 ) )
& ( ( ( B @ ( A @ k2_zfmisc_1 ) )
= k1_xboole_0 )
=> ( ( B = k1_xboole_0 )
| ( A = k1_xboole_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(2167,plain,
( ! [A: $i,B: $i] :
( ( ( B = k1_xboole_0 )
| ( A = k1_xboole_0 ) )
=> ( ( B @ ( A @ k2_zfmisc_1 ) )
= k1_xboole_0 ) )
& ! [A: $i,B: $i] :
( ( ( B @ ( A @ k2_zfmisc_1 ) )
= k1_xboole_0 )
=> ( ( B = k1_xboole_0 )
| ( A = k1_xboole_0 ) ) ) ),
inference(miniscope,[status(thm)],[2166]) ).
thf(2168,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( ( D @ ( C @ k2_zfmisc_1 ) )
= k1_xboole_0 )
| ( D != k1_xboole_0 ) )
& ( ( ( D @ ( C @ k2_zfmisc_1 ) )
= k1_xboole_0 )
| ( C != k1_xboole_0 ) )
& ( ( B = k1_xboole_0 )
| ( A = k1_xboole_0 )
| ( ( B @ ( A @ k2_zfmisc_1 ) )
!= k1_xboole_0 ) ) ),
inference(cnf,[status(esa)],[2167]) ).
thf(2171,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ k2_zfmisc_1 ) )
= k1_xboole_0 )
| ( B != k1_xboole_0 ) ),
inference(cnfConj,[status(thm)],[2168]) ).
thf(2175,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ k2_zfmisc_1 ) )
= k1_xboole_0 )
| ( B != k1_xboole_0 ) ),
inference(lifteq,[status(thm)],[2171]) ).
thf(2176,plain,
! [A: $i] :
( ( k1_xboole_0 @ ( A @ k2_zfmisc_1 ) )
= k1_xboole_0 ),
inference(simp,[status(thm)],[2175]) ).
thf(778,axiom,
! [A: $i,B: $i] :
( ( ( A @ ( A @ k2_zfmisc_1 ) )
= ( B @ ( B @ k2_zfmisc_1 ) ) )
=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t115_zfmisc_1) ).
thf(4814,plain,
! [A: $i,B: $i] :
( ( ( A @ ( A @ k2_zfmisc_1 ) )
= ( B @ ( B @ k2_zfmisc_1 ) ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[778]) ).
thf(4815,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ ( A @ k2_zfmisc_1 ) )
!= ( B @ ( B @ k2_zfmisc_1 ) ) ) ),
inference(cnf,[status(esa)],[4814]) ).
thf(4816,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ ( A @ k2_zfmisc_1 ) )
!= ( B @ ( B @ k2_zfmisc_1 ) ) ) ),
inference(lifteq,[status(thm)],[4815]) ).
thf(4817,plain,
? [A: $i > $i > $i] :
! [B: $i,C: $i] :
( ( C @ ( B @ k2_zfmisc_1 ) @ ( C @ A ) )
= B ),
inference(detectInverse,[status(thm)],[4816]) ).
thf(4818,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ k2_zfmisc_1 ) @ ( B @ sk317 ) )
= A ),
inference(cnf,[status(esa)],[4817]) ).
thf(58218,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ k2_zfmisc_1 ) @ ( B @ sk317 ) )
= A ),
inference(lifteq,[status(thm)],[4818]) ).
thf(58235,plain,
! [C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( A @ k2_zfmisc_1 ) )
!= ( C @ ( B @ k2_zfmisc_1 ) ) )
| ( ( k1_xboole_0 @ ( C @ sk317 ) )
= B ) ),
inference(paramod_ordered,[status(thm)],[2176,58218]) ).
thf(58236,plain,
! [A: $i] :
( ( k1_xboole_0 @ ( k1_xboole_0 @ sk317 ) )
= A ),
inference(pattern_uni,[status(thm)],[58235:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( k1_xboole_0 ))]]) ).
thf(869,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ k2_xboole_0 ) @ ( A @ k3_xboole_0 ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_xboole_1) ).
thf(5197,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ k2_xboole_0 ) @ ( A @ k3_xboole_0 ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[869]) ).
thf(5198,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ k2_xboole_0 ) @ ( A @ k3_xboole_0 ) )
= A ),
inference(cnf,[status(esa)],[5197]) ).
thf(5199,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ k2_xboole_0 ) @ ( A @ k3_xboole_0 ) )
= A ),
inference(lifteq,[status(thm)],[5198]) ).
thf(887,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ k3_xboole_0 ) )
= ( A @ ( B @ k3_xboole_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
thf(5292,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ k3_xboole_0 ) )
= ( A @ ( B @ k3_xboole_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[887]) ).
thf(5293,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ k3_xboole_0 ) )
= ( A @ ( B @ k3_xboole_0 ) ) ),
inference(cnf,[status(esa)],[5292]) ).
thf(5294,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ k3_xboole_0 ) )
= ( A @ ( B @ k3_xboole_0 ) ) ),
inference(lifteq,[status(thm)],[5293]) ).
thf(33,axiom,
! [A: $i] :
~ ( ! [B: $i] :
~ ( ! [C: $i,D: $i,E: $i,F: $i] :
( ( ( B @ ( F @ r2_hidden ) )
& ( F @ ( E @ r2_hidden ) )
& ( E @ ( D @ r2_hidden ) )
& ( D @ ( C @ r2_hidden ) ) )
=> ( A @ ( C @ r1_xboole_0 ) ) )
& ( A @ ( B @ r2_hidden ) ) )
& ( A != k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_mcart_1) ).
thf(1230,plain,
! [A: $i] :
~ ( ! [B: $i] :
~ ( ! [C: $i,D: $i,E: $i,F: $i] :
( ( ( B @ ( F @ r2_hidden ) )
& ( F @ ( E @ r2_hidden ) )
& ( E @ ( D @ r2_hidden ) )
& ( D @ ( C @ r2_hidden ) ) )
=> ( A @ ( C @ r1_xboole_0 ) ) )
& ( A @ ( B @ r2_hidden ) ) )
& ( A != k1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(1231,plain,
~ ? [A: $i] :
( ~ ? [B: $i] :
( ! [C: $i] :
( ? [D: $i] :
( ? [E: $i] :
( ? [F: $i] :
( ( B @ ( F @ r2_hidden ) )
& ( F @ ( E @ r2_hidden ) ) )
& ( E @ ( D @ r2_hidden ) ) )
& ( D @ ( C @ r2_hidden ) ) )
=> ( A @ ( C @ r1_xboole_0 ) ) )
& ( A @ ( B @ r2_hidden ) ) )
& ( A != k1_xboole_0 ) ),
inference(miniscope,[status(thm)],[1230]) ).
thf(1232,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ r1_xboole_0 ) )
| ~ ( A @ sk13 @ ( E @ r2_hidden ) )
| ~ ( E @ ( D @ r2_hidden ) )
| ~ ( D @ ( C @ r2_hidden ) )
| ~ ( C @ ( B @ r2_hidden ) )
| ( A = k1_xboole_0 ) )
& ( ( A @ ( A @ sk13 @ r2_hidden ) )
| ( A = k1_xboole_0 ) ) ),
inference(cnf,[status(esa)],[1231]) ).
thf(1233,plain,
! [A: $i] :
( ( A @ ( A @ sk13 @ r2_hidden ) )
| ( A = k1_xboole_0 ) ),
inference(cnfConj,[status(thm)],[1232]) ).
thf(1235,plain,
! [A: $i] :
( ( A @ ( A @ sk13 @ r2_hidden ) )
| ( A = k1_xboole_0 ) ),
inference(lifteq,[status(thm)],[1233]) ).
thf(170,axiom,
! [A: $i] :
( ( A @ v1_xboole_0 )
<=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_xboole_0) ).
thf(2043,plain,
! [A: $i] :
( ( ( A = k1_xboole_0 )
=> ( A @ v1_xboole_0 ) )
& ( ( A @ v1_xboole_0 )
=> ( A = k1_xboole_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(2044,plain,
( ! [A: $i] :
( ( A = k1_xboole_0 )
=> ( A @ v1_xboole_0 ) )
& ! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( A = k1_xboole_0 ) ) ),
inference(miniscope,[status(thm)],[2043]) ).
thf(2045,plain,
! [B: $i,A: $i] :
( ( ( B @ v1_xboole_0 )
| ( B != k1_xboole_0 ) )
& ( ( A = k1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ) ),
inference(cnf,[status(esa)],[2044]) ).
thf(2047,plain,
! [A: $i] :
( ( A @ v1_xboole_0 )
| ( A != k1_xboole_0 ) ),
inference(cnfConj,[status(thm)],[2045]) ).
thf(2049,plain,
! [A: $i] :
( ( A @ v1_xboole_0 )
| ( A != k1_xboole_0 ) ),
inference(lifteq,[status(thm)],[2047]) ).
thf(2050,plain,
k1_xboole_0 @ v1_xboole_0,
inference(simp,[status(thm)],[2049]) ).
thf(977,axiom,
? [A: $i] :
~ ( A @ v1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
thf(5698,plain,
? [A: $i] :
~ ( A @ v1_xboole_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[977]) ).
thf(5699,plain,
~ ! [A: $i] : ( A @ v1_xboole_0 ),
inference(miniscope,[status(thm)],[5698]) ).
thf(5700,plain,
~ ( sk371 @ v1_xboole_0 ),
inference(cnf,[status(esa)],[5699]) ).
thf(6128,plain,
( ( ( sk371 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2050,5700]) ).
thf(6129,plain,
( ( sk371 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[6128]) ).
thf(6130,plain,
sk371 != k1_xboole_0,
inference(simp,[status(thm)],[6129]) ).
thf(11118,plain,
! [A: $i] :
( ( A != sk371 )
| ( k1_xboole_0 != k1_xboole_0 )
| ( A @ ( A @ sk13 @ r2_hidden ) ) ),
inference(paramod_ordered,[status(thm)],[1235,6130]) ).
thf(11119,plain,
! [A: $i] :
( ( A != sk371 )
| ( A @ ( A @ sk13 @ r2_hidden ) ) ),
inference(simp,[status(thm)],[11118]) ).
thf(11120,plain,
sk371 @ ( sk371 @ sk13 @ r2_hidden ),
inference(pattern_uni,[status(thm)],[11119:[bind(A,$thf( sk371 ))]]) ).
thf(521,axiom,
! [A: $i,B: $i] : ( A @ ( B @ ( A @ k3_xboole_0 ) @ r1_tarski ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).
thf(3664,plain,
! [A: $i,B: $i] : ( A @ ( B @ ( A @ k3_xboole_0 ) @ r1_tarski ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[521]) ).
thf(3665,plain,
! [B: $i,A: $i] : ( A @ ( B @ ( A @ k3_xboole_0 ) @ r1_tarski ) ),
inference(cnf,[status(esa)],[3664]) ).
thf(294,axiom,
! [A: $i,B: $i] :
~ ( ( A @ ( B @ r1_tarski ) )
& ( B @ ( A @ r2_hidden ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_ordinal1) ).
thf(2629,plain,
! [A: $i,B: $i] :
~ ( ( A @ ( B @ r1_tarski ) )
& ( B @ ( A @ r2_hidden ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[294]) ).
thf(2630,plain,
~ ? [A: $i,B: $i] :
( ( A @ ( B @ r1_tarski ) )
& ( B @ ( A @ r2_hidden ) ) ),
inference(miniscope,[status(thm)],[2629]) ).
thf(2631,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ r1_tarski ) )
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(cnf,[status(esa)],[2630]) ).
thf(10903,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( A @ k3_xboole_0 ) @ r1_tarski ) )
!= ( C @ ( D @ r1_tarski ) ) )
| ~ $true
| ~ ( D @ ( C @ r2_hidden ) ) ),
inference(paramod_ordered,[status(thm)],[3665,2631]) ).
thf(10904,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( A @ k3_xboole_0 ) @ r1_tarski ) )
!= ( C @ ( D @ r1_tarski ) ) )
| ~ ( D @ ( C @ r2_hidden ) ) ),
inference(simp,[status(thm)],[10903]) ).
thf(10905,plain,
! [B: $i,A: $i] :
~ ( B @ ( A @ k3_xboole_0 ) @ ( A @ r2_hidden ) ),
inference(pattern_uni,[status(thm)],[10904:[bind(A,$thf( E )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( F @ ( E @ k3_xboole_0 ) ))]]) ).
thf(10910,plain,
! [B: $i,A: $i] :
~ ( B @ ( A @ k3_xboole_0 ) @ ( A @ r2_hidden ) ),
inference(simp,[status(thm)],[10905]) ).
thf(13244,plain,
! [B: $i,A: $i] :
( ( ( sk371 @ ( sk371 @ sk13 @ r2_hidden ) )
!= ( B @ ( A @ k3_xboole_0 ) @ ( A @ r2_hidden ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[11120,10910]) ).
thf(13245,plain,
! [B: $i,A: $i] :
( ( sk371 @ ( sk371 @ sk13 @ r2_hidden ) )
!= ( B @ ( A @ k3_xboole_0 ) @ ( A @ r2_hidden ) ) ),
inference(simp,[status(thm)],[13244]) ).
thf(13277,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ k3_xboole_0 ) )
!= sk371 )
| ( ( sk371 @ sk13 )
!= A ) ),
inference(simp,[status(thm)],[13245]) ).
thf(13292,plain,
! [A: $i] :
( ( A @ ( sk371 @ sk13 @ k3_xboole_0 ) )
!= sk371 ),
inference(simp,[status(thm)],[13277]) ).
thf(15457,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ k3_xboole_0 ) )
!= ( C @ ( sk371 @ sk13 @ k3_xboole_0 ) ) )
| ( ( B @ ( A @ k3_xboole_0 ) )
!= sk371 ) ),
inference(paramod_ordered,[status(thm)],[5294,13292]) ).
thf(15458,plain,
! [A: $i] :
( ( sk371 @ sk13 @ ( A @ k3_xboole_0 ) )
!= sk371 ),
inference(pattern_uni,[status(thm)],[15457:[bind(A,$thf( A )),bind(B,$thf( sk371 @ sk13 )),bind(C,$thf( A ))]]) ).
thf(16115,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ k2_xboole_0 ) @ ( A @ k3_xboole_0 ) )
!= ( sk371 @ sk13 @ ( C @ k3_xboole_0 ) ) )
| ( A != sk371 ) ),
inference(paramod_ordered,[status(thm)],[5199,15458]) ).
thf(16131,plain,
! [B: $i,A: $i] :
( ( A @ ( sk371 @ k2_xboole_0 ) @ ( sk371 @ k3_xboole_0 ) )
!= ( sk371 @ sk13 @ ( B @ k3_xboole_0 ) ) ),
inference(simp,[status(thm)],[16115]) ).
thf(16134,plain,
! [B: $i,A: $i] :
( ( A @ ( sk371 @ k2_xboole_0 ) @ ( sk371 @ k3_xboole_0 ) )
!= ( sk371 @ sk13 @ ( B @ k3_xboole_0 ) ) ),
inference(simp,[status(thm)],[16131]) ).
thf(19626,plain,
! [A: $i] :
( ( sk371 @ sk13 @ ( A @ k3_xboole_0 ) )
!= sk371 ),
inference(rewrite,[status(thm)],[16134,5199]) ).
thf(58493,plain,
! [B: $i,A: $i] :
( ( A
!= ( sk371 @ sk13 @ ( B @ k3_xboole_0 ) ) )
| ( ( k1_xboole_0 @ ( k1_xboole_0 @ sk317 ) )
!= sk371 ) ),
inference(paramod_ordered,[status(thm)],[58236,19626]) ).
thf(58494,plain,
( ( k1_xboole_0 @ ( k1_xboole_0 @ sk317 ) )
!= sk371 ),
inference(pattern_uni,[status(thm)],[58493:[bind(A,$thf( sk371 @ sk13 @ ( C @ k3_xboole_0 ) )),bind(B,$thf( C ))]]) ).
thf(61124,plain,
$false,
inference(simplifyReflect,[status(thm)],[58494,58236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT282+2 : TPTP v9.3.1. Released v3.4.0.
% 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 : n002.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 : Fri Sep 25 20:26:50 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
% 0.88/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 4.14/1.87 % [INFO] Parsing done (879ms).
% 4.14/1.88 % [INFO] Running in sequential loop mode.
% 4.84/2.07 % [INFO] eprover registered as external prover.
% 4.84/2.09 % [INFO] Scanning for conjecture ...
% 7.08/2.65 % [INFO] Found a conjecture (or negated_conjecture) and 6420 axioms. Running axiom selection ...
% 10.00/3.42 % [INFO] Axiom selection finished. Selected 1076 axioms (removed 5344 axioms).
% 11.99/3.94 % [INFO] Problem is first-order (TPTP FOF).
% 11.99/3.99 % [INFO] Type checking passed.
% 11.99/4.00 % [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 ...
% 171.45/48.45 % [INFO] Killing All external provers ...
% 171.45/48.45 % Time passed: 47897ms (effective reasoning time: 46569ms)
% 171.45/48.46 % Axioms used in derivation (9): t17_xboole_1, t113_zfmisc_1, d5_xboole_0, commutativity_k3_xboole_0, t115_zfmisc_1, t21_xboole_1, t7_ordinal1, t5_mcart_1, rc2_xboole_0
% 171.45/48.46 % No. of inferences in proof: 71
% 171.45/48.46 % SZS status ContradictoryAxioms for /export/starexec/sandbox2/benchmark/theBenchmark.p : 47897 ms resp. 46569 ms w/o parsing
% 166.73/48.52 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 166.73/48.52 % [INFO] Killing All external provers ...
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