%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL163-1 : TPTP v9.3.1. Released v1.0.0.
% 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 : n001.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 07:51:00 AM UTC 2026
% Result : Unsatisfiable 55.33s 11.59s
% Output : Refutation 46.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of formulae : 96 ( 73 unt; 0 typ; 0 def)
% Number of atoms : 124 ( 123 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 535 ( 40 ~; 28 |; 0 &; 467 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 104 ( 0 ^; 104 !; 0 ?; 104 :)
% Comments :
%------------------------------------------------------------------------------
thf(implies_decl,type,
implies: $i > $i > $i ).
thf(x_decl,type,
x: $i ).
thf(y_decl,type,
y: $i ).
thf(not_decl,type,
not: $i > $i ).
thf(xor_decl,type,
xor: $i > $i > $i ).
thf(truth_decl,type,
truth: $i ).
thf(falsehood_decl,type,
falsehood: $i ).
thf(and_star_decl,type,
and_star: $i > $i > $i ).
thf(5,axiom,
! [A: $i] :
( ( truth @ ( A @ and_star ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(24,plain,
! [A: $i] :
( ( truth @ ( A @ and_star ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(25,plain,
! [A: $i] :
( ( truth @ ( A @ and_star ) )
= A ),
inference(lifteq,[status(thm)],[24]) ).
thf(6,axiom,
! [A: $i] :
( ( falsehood @ ( A @ and_star ) )
= falsehood ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(26,plain,
! [A: $i] :
( ( falsehood @ ( A @ and_star ) )
= falsehood ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(27,plain,
! [A: $i] :
( ( falsehood @ ( A @ and_star ) )
= falsehood ),
inference(lifteq,[status(thm)],[26]) ).
thf(51,plain,
! [B: $i,A: $i] :
( ( ( truth @ ( A @ and_star ) )
!= ( falsehood @ ( B @ and_star ) ) )
| ( A = falsehood ) ),
inference(paramod_ordered,[status(thm)],[25,27]) ).
thf(53,plain,
! [B: $i,A: $i] :
( ( falsehood != truth )
| ( A != B )
| ( A = falsehood ) ),
inference(simp,[status(thm)],[51]) ).
thf(55,plain,
! [A: $i] :
( ( falsehood != truth )
| ( A = falsehood ) ),
inference(simp,[status(thm)],[53]) ).
thf(1,negated_conjecture,
( ( y @ ( y @ ( x @ implies ) @ implies ) )
!= ( x @ ( x @ ( y @ implies ) @ implies ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_axiom) ).
thf(15,plain,
( ( y @ ( y @ ( x @ implies ) @ implies ) )
!= ( x @ ( x @ ( y @ implies ) @ implies ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(16,plain,
( ( y @ ( y @ ( x @ implies ) @ implies ) )
!= ( x @ ( x @ ( y @ implies ) @ implies ) ) ),
inference(polarity_switch,[status(thm)],[15]) ).
thf(17,plain,
( ( x @ ( x @ ( y @ implies ) @ implies ) )
!= ( y @ ( y @ ( x @ implies ) @ implies ) ) ),
inference(lifteq,[status(thm)],[16]) ).
thf(69,plain,
! [A: $i] :
( ( A
!= ( x @ ( x @ ( y @ implies ) @ implies ) ) )
| ( ( y @ ( y @ ( x @ implies ) @ implies ) )
!= falsehood )
| ( falsehood != truth ) ),
inference(paramod_ordered,[status(thm)],[55,17]) ).
thf(70,plain,
( ( ( y @ ( y @ ( x @ implies ) @ implies ) )
!= falsehood )
| ( falsehood != truth ) ),
inference(pattern_uni,[status(thm)],[69:[bind(A,$thf( x @ ( x @ ( y @ implies ) @ implies ) ))]]) ).
thf(136,plain,
! [A: $i] :
( ( A
!= ( y @ ( y @ ( x @ implies ) @ implies ) ) )
| ( falsehood != falsehood )
| ( falsehood != truth )
| ( falsehood != truth ) ),
inference(paramod_ordered,[status(thm)],[55,70]) ).
thf(137,plain,
! [A: $i] :
( ( A
!= ( y @ ( y @ ( x @ implies ) @ implies ) ) )
| ( falsehood != truth ) ),
inference(simp,[status(thm)],[136]) ).
thf(138,plain,
falsehood != truth,
inference(pattern_uni,[status(thm)],[137:[bind(A,$thf( y @ ( y @ ( x @ implies ) @ implies ) ))]]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( B @ ( truth @ xor ) @ ( A @ xor ) )
= ( B @ ( truth @ ( A @ xor ) @ xor ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(30,plain,
! [B: $i,A: $i] :
( ( B @ ( truth @ xor ) @ ( A @ xor ) )
= ( B @ ( truth @ ( A @ xor ) @ xor ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(31,plain,
! [B: $i,A: $i] :
( ( B @ ( truth @ ( A @ xor ) @ xor ) )
= ( B @ ( truth @ xor ) @ ( A @ xor ) ) ),
inference(lifteq,[status(thm)],[30]) ).
thf(2,axiom,
! [A: $i] :
( ( A @ not )
= ( truth @ ( A @ xor ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(18,plain,
! [A: $i] :
( ( A @ not )
= ( truth @ ( A @ xor ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(19,plain,
! [A: $i] :
( ( truth @ ( A @ xor ) )
= ( A @ not ) ),
inference(lifteq,[status(thm)],[18]) ).
thf(153,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ not @ xor ) )
= ( B @ ( truth @ xor ) @ ( A @ xor ) ) ),
inference(rewrite,[status(thm)],[31,19]) ).
thf(13,axiom,
( ( truth @ not )
= falsehood ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_definition) ).
thf(40,plain,
( ( truth @ not )
= falsehood ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(41,plain,
( ( truth @ not )
= falsehood ),
inference(lifteq,[status(thm)],[40]) ).
thf(159,plain,
! [B: $i,A: $i] :
( ( ( truth @ not )
!= ( A @ not ) )
| ( ( B @ ( falsehood @ xor ) )
= ( B @ ( truth @ xor ) @ ( A @ xor ) ) ) ),
inference(paramod_ordered,[status(thm)],[41,153]) ).
thf(160,plain,
! [A: $i] :
( ( A @ ( falsehood @ xor ) )
= ( A @ ( truth @ xor ) @ ( truth @ xor ) ) ),
inference(pattern_uni,[status(thm)],[159:[bind(A,$thf( truth ))]]) ).
thf(170,plain,
! [A: $i] :
( ( A @ ( falsehood @ xor ) )
= ( A @ ( truth @ xor ) @ ( truth @ xor ) ) ),
inference(simp,[status(thm)],[160]) ).
thf(427,plain,
! [B: $i,A: $i] :
( ( ( A @ ( falsehood @ xor ) )
!= ( truth @ ( B @ xor ) ) )
| ( ( A @ ( truth @ xor ) @ ( truth @ xor ) )
= ( B @ not ) ) ),
inference(paramod_ordered,[status(thm)],[170,19]) ).
thf(428,plain,
( ( truth @ ( truth @ xor ) @ ( truth @ xor ) )
= ( falsehood @ not ) ),
inference(pattern_uni,[status(thm)],[427:[bind(A,$thf( truth )),bind(B,$thf( falsehood ))]]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ ( A @ xor ) )
= falsehood ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(22,plain,
! [A: $i] :
( ( A @ ( A @ xor ) )
= falsehood ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(23,plain,
! [A: $i] :
( ( A @ ( A @ xor ) )
= falsehood ),
inference(lifteq,[status(thm)],[22]) ).
thf(161,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ not @ xor ) )
!= ( C @ ( C @ xor ) ) )
| ( ( B @ ( truth @ xor ) @ ( A @ xor ) )
= falsehood ) ),
inference(paramod_ordered,[status(thm)],[153,23]) ).
thf(162,plain,
! [A: $i] :
( ( A @ not @ ( truth @ xor ) @ ( A @ xor ) )
= falsehood ),
inference(pattern_uni,[status(thm)],[161:[bind(A,$thf( E )),bind(B,$thf( E @ not )),bind(C,$thf( E @ not ))]]) ).
thf(171,plain,
! [A: $i] :
( ( A @ not @ ( truth @ xor ) @ ( A @ xor ) )
= falsehood ),
inference(simp,[status(thm)],[162]) ).
thf(189,plain,
! [A: $i] :
( ( ( truth @ not )
!= ( A @ not ) )
| ( ( falsehood @ ( truth @ xor ) @ ( A @ xor ) )
= falsehood ) ),
inference(paramod_ordered,[status(thm)],[41,171]) ).
thf(190,plain,
( ( falsehood @ ( truth @ xor ) @ ( truth @ xor ) )
= falsehood ),
inference(pattern_uni,[status(thm)],[189:[bind(A,$thf( truth ))]]) ).
thf(3,axiom,
! [A: $i] :
( ( falsehood @ ( A @ xor ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(20,plain,
! [A: $i] :
( ( falsehood @ ( A @ xor ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(21,plain,
! [A: $i] :
( ( falsehood @ ( A @ xor ) )
= A ),
inference(lifteq,[status(thm)],[20]) ).
thf(220,plain,
( ( truth @ ( truth @ xor ) )
= falsehood ),
inference(rewrite,[status(thm)],[190,21]) ).
thf(551,plain,
( ( falsehood @ ( truth @ xor ) )
= ( falsehood @ not ) ),
inference(rewrite,[status(thm)],[428,220]) ).
thf(561,plain,
! [A: $i] :
( ( ( falsehood @ ( truth @ xor ) )
!= ( falsehood @ ( A @ xor ) ) )
| ( ( falsehood @ not )
= A ) ),
inference(paramod_ordered,[status(thm)],[551,21]) ).
thf(562,plain,
( ( falsehood @ not )
= truth ),
inference(pattern_uni,[status(thm)],[561:[bind(A,$thf( truth ))]]) ).
thf(616,plain,
! [A: $i] :
( ( ( falsehood @ not )
!= ( A @ not ) )
| ( ( truth @ ( truth @ xor ) @ ( A @ xor ) )
= falsehood ) ),
inference(paramod_ordered,[status(thm)],[562,171]) ).
thf(617,plain,
( ( truth @ ( truth @ xor ) @ ( falsehood @ xor ) )
= falsehood ),
inference(pattern_uni,[status(thm)],[616:[bind(A,$thf( falsehood ))]]) ).
thf(1182,plain,
( ( truth @ ( truth @ xor ) @ ( truth @ xor ) @ ( truth @ xor ) )
= falsehood ),
inference(rewrite,[status(thm)],[617,170]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ xor ) )
= ( A @ ( B @ xor ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_commutativity) ).
thf(34,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ xor ) )
= ( A @ ( B @ xor ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(35,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ xor ) )
= ( A @ ( B @ xor ) ) ),
inference(lifteq,[status(thm)],[34]) ).
thf(1202,plain,
! [B: $i,A: $i] :
( ( ( truth @ ( truth @ xor ) @ ( truth @ xor ) @ ( truth @ xor ) )
!= ( B @ ( A @ xor ) ) )
| ( ( A @ ( B @ xor ) )
= falsehood ) ),
inference(paramod_ordered,[status(thm)],[1182,35]) ).
thf(1203,plain,
( ( truth @ ( truth @ ( truth @ xor ) @ ( truth @ xor ) @ xor ) )
= falsehood ),
inference(pattern_uni,[status(thm)],[1202:[bind(A,$thf( truth )),bind(B,$thf( truth @ ( truth @ xor ) @ ( truth @ xor ) ))]]) ).
thf(1564,plain,
( ( truth @ ( truth @ xor ) @ ( truth @ xor ) @ not )
= falsehood ),
inference(rewrite,[status(thm)],[1203,19]) ).
thf(493,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ xor ) )
!= ( falsehood @ ( C @ xor ) ) )
| ( ( A @ ( B @ xor ) )
= C ) ),
inference(paramod_ordered,[status(thm)],[35,21]) ).
thf(494,plain,
! [A: $i] :
( ( A @ ( falsehood @ xor ) )
= A ),
inference(pattern_uni,[status(thm)],[493:[bind(A,$thf( A )),bind(B,$thf( falsehood )),bind(C,$thf( A ))]]) ).
thf(1457,plain,
! [A: $i] :
( ( A @ ( truth @ xor ) @ ( truth @ xor ) )
= A ),
inference(rewrite,[status(thm)],[494,170]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ and_star ) )
= ( A @ ( B @ and_star ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_star_commutativity) ).
thf(38,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ and_star ) )
= ( A @ ( B @ and_star ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(39,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ and_star ) )
= ( A @ ( B @ and_star ) ) ),
inference(lifteq,[status(thm)],[38]) ).
thf(947,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ and_star ) )
!= ( falsehood @ ( C @ and_star ) ) )
| ( ( A @ ( B @ and_star ) )
= falsehood ) ),
inference(paramod_ordered,[status(thm)],[39,27]) ).
thf(948,plain,
! [A: $i] :
( ( A @ ( falsehood @ and_star ) )
= falsehood ),
inference(pattern_uni,[status(thm)],[947:[bind(A,$thf( A )),bind(B,$thf( falsehood )),bind(C,$thf( A ))]]) ).
thf(497,plain,
! [C: $i,B: $i,A: $i] :
( ( ( falsehood @ ( A @ xor ) )
!= ( C @ ( B @ xor ) ) )
| ( A
= ( B @ ( C @ xor ) ) ) ),
inference(paramod_ordered,[status(thm)],[21,35]) ).
thf(498,plain,
! [A: $i] :
( ( A @ ( falsehood @ xor ) )
= A ),
inference(pattern_uni,[status(thm)],[497:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( falsehood ))]]) ).
thf(48,plain,
( ( y != x )
| ( ( x @ ( y @ implies ) )
!= ( y @ ( x @ implies ) ) ) ),
inference(simp,[status(thm)],[17]) ).
thf(49,plain,
( ( y != x )
| ( y != x )
| ( y != x ) ),
inference(simp,[status(thm)],[48]) ).
thf(50,plain,
y != x,
inference(simp,[status(thm)],[49]) ).
thf(14,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ implies ) )
= ( B @ ( truth @ xor ) @ ( A @ and_star ) @ ( truth @ xor ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
thf(42,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ implies ) )
= ( B @ ( truth @ xor ) @ ( A @ and_star ) @ ( truth @ xor ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(43,plain,
! [B: $i,A: $i] :
( ( B @ ( truth @ xor ) @ ( A @ and_star ) @ ( truth @ xor ) )
= ( B @ ( A @ implies ) ) ),
inference(lifteq,[status(thm)],[42]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ( B @ ( truth @ ( B @ ( A @ ( truth @ xor ) @ and_star ) @ xor ) @ and_star ) )
= ( A @ ( truth @ ( A @ ( B @ ( truth @ xor ) @ and_star ) @ xor ) @ and_star ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(32,plain,
! [B: $i,A: $i] :
( ( B @ ( truth @ ( B @ ( A @ ( truth @ xor ) @ and_star ) @ xor ) @ and_star ) )
= ( A @ ( truth @ ( A @ ( B @ ( truth @ xor ) @ and_star ) @ xor ) @ and_star ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(33,plain,
! [B: $i,A: $i] :
( ( B @ ( truth @ ( B @ ( A @ ( truth @ xor ) @ and_star ) @ xor ) @ and_star ) )
= ( A @ ( truth @ ( A @ ( B @ ( truth @ xor ) @ and_star ) @ xor ) @ and_star ) ) ),
inference(lifteq,[status(thm)],[32]) ).
thf(290,plain,
! [B: $i,A: $i] :
( ( B @ ( B @ ( A @ ( truth @ xor ) @ and_star ) @ not @ and_star ) )
= ( A @ ( A @ ( B @ ( truth @ xor ) @ and_star ) @ not @ and_star ) ) ),
inference(rewrite,[status(thm)],[33,19]) ).
thf(565,plain,
! [B: $i,A: $i] :
( ( ( falsehood @ ( truth @ xor ) )
!= ( B @ ( A @ xor ) ) )
| ( ( A @ ( B @ xor ) )
= ( falsehood @ not ) ) ),
inference(paramod_ordered,[status(thm)],[551,35]) ).
thf(566,plain,
( ( truth @ ( falsehood @ xor ) )
= ( falsehood @ not ) ),
inference(pattern_uni,[status(thm)],[565:[bind(A,$thf( truth )),bind(B,$thf( falsehood ))]]) ).
thf(727,plain,
( ( truth @ ( truth @ xor ) @ ( truth @ xor ) )
= truth ),
inference(rewrite,[status(thm)],[566,562,170]) ).
thf(743,plain,
! [B: $i,A: $i] :
( ( ( truth @ ( truth @ xor ) @ ( truth @ xor ) )
!= ( B @ ( A @ xor ) ) )
| ( ( A @ ( B @ xor ) )
= truth ) ),
inference(paramod_ordered,[status(thm)],[727,35]) ).
thf(744,plain,
( ( truth @ ( truth @ ( truth @ xor ) @ xor ) )
= truth ),
inference(pattern_uni,[status(thm)],[743:[bind(A,$thf( truth )),bind(B,$thf( truth @ ( truth @ xor ) ))]]) ).
thf(1391,plain,
( ( truth @ ( truth @ xor ) @ not )
= truth ),
inference(rewrite,[status(thm)],[744,19]) ).
thf(11,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ and_star ) @ and_star ) )
= ( C @ ( B @ and_star ) @ ( A @ and_star ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_star_associativity) ).
thf(36,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ and_star ) @ and_star ) )
= ( C @ ( B @ and_star ) @ ( A @ and_star ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(37,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ and_star ) @ and_star ) )
= ( C @ ( B @ and_star ) @ ( A @ and_star ) ) ),
inference(lifteq,[status(thm)],[36]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ ( A @ ( truth @ xor ) @ and_star ) )
= falsehood ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(28,plain,
! [A: $i] :
( ( A @ ( A @ ( truth @ xor ) @ and_star ) )
= falsehood ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(29,plain,
! [A: $i] :
( ( A @ ( A @ ( truth @ xor ) @ and_star ) )
= falsehood ),
inference(lifteq,[status(thm)],[28]) ).
thf(760,plain,
! [A: $i] :
( ( ( truth @ ( A @ xor ) )
!= ( truth @ ( truth @ xor ) ) )
| ( ( A @ not @ ( truth @ xor ) )
= truth ) ),
inference(paramod_ordered,[status(thm)],[19,727]) ).
thf(761,plain,
( ( truth @ not @ ( truth @ xor ) )
= truth ),
inference(pattern_uni,[status(thm)],[760:[bind(A,$thf( truth ))]]) ).
thf(820,plain,
( ( falsehood @ ( truth @ xor ) )
= truth ),
inference(rewrite,[status(thm)],[761,41]) ).
thf(734,plain,
! [A: $i] :
( ( ( truth @ ( truth @ xor ) @ ( truth @ xor ) )
!= ( A @ ( truth @ xor ) ) )
| ( ( A @ ( truth @ and_star ) )
= falsehood ) ),
inference(paramod_ordered,[status(thm)],[727,29]) ).
thf(735,plain,
( ( truth @ ( truth @ xor ) @ ( truth @ and_star ) )
= falsehood ),
inference(pattern_uni,[status(thm)],[734:[bind(A,$thf( truth @ ( truth @ xor ) ))]]) ).
thf(1326,plain,
( ( falsehood @ ( truth @ and_star ) )
= falsehood ),
inference(rewrite,[status(thm)],[735,220]) ).
thf(18876,plain,
$false,
inference(e,[status(thm)],[138,153,1564,220,1457,948,41,498,39,35,18,50,43,290,15,42,1391,24,37,25,20,29,820,21,28,38,17,32,34,562,22,27,1326,40,26,171,23,36,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL163-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % 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
% 0.15/0.40 % Computer : n001.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Fri Sep 25 22:02:26 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 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
% 0.88/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.27/1.16 % [INFO] Parsing done (188ms).
% 1.27/1.17 % [INFO] Running in sequential loop mode.
% 1.96/1.59 % [INFO] eprover registered as external prover.
% 1.96/1.59 % [INFO] Scanning for conjecture ...
% 2.15/1.68 % [INFO] Found a conjecture (or negated_conjecture) and 13 axioms. Running axiom selection ...
% 2.32/1.71 % [INFO] Axiom selection finished. Selected 13 axioms (removed 0 axioms).
% 2.32/1.74 % [INFO] Problem is propositional (TPTP CNF).
% 2.32/1.74 % [INFO] Type checking passed.
% 2.32/1.75 % [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 ...
% 55.33/11.58 % External prover 'e' found a proof!
% 55.33/11.58 % [INFO] Killing All external provers ...
% 55.33/11.58 % Time passed: 11056ms (effective reasoning time: 10402ms)
% 55.33/11.58 % Axioms used in derivation (13): axiom_7, axiom_6, axiom_3, axiom_1, axiom_8, axiom_5, xor_commutativity, axiom_4, axiom_2, and_star_commutativity, and_star_associativity, false_definition, implies_definition
% 55.33/11.58 % No. of inferences in proof: 96
% 55.33/11.59 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 11056 ms resp. 10402 ms w/o parsing
% 46.57/11.64 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 46.57/11.64 % [INFO] Killing All external provers ...
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