%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NUN134-1 : TPTP v9.3.1. Released v8.1.0.
% 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 : 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 08:18:47 AM UTC 2026
% Result : Unsatisfiable 10.48s 3.93s
% Output : Refutation 10.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 93 ( 56 unt; 0 typ; 0 def)
% Number of atoms : 149 ( 148 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 690 ( 90 ~; 56 |; 0 &; 544 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 95 ( 0 ^; 95 !; 0 ?; 95 :)
% Comments :
%------------------------------------------------------------------------------
thf('+_decl',type,
'+': $i > $i > $i ).
thf(sum_decl,type,
sum: $i > $i ).
thf(s_decl,type,
s: $i > $i ).
thf(a_decl,type,
a: $i ).
thf(times_decl,type,
times: $i > $i > $i ).
thf(zero_decl,type,
zero: $i ).
thf(one_decl,type,
one: $i ).
thf(8,axiom,
! [A: $i] :
( ( one @ ( A @ times ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',times_one) ).
thf(31,plain,
! [A: $i] :
( ( one @ ( A @ times ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(32,plain,
! [A: $i] :
( ( one @ ( A @ times ) )
= A ),
inference(lifteq,[status(thm)],[31]) ).
thf(1,negated_conjecture,
( ( a @ s @ sum @ ( a @ s @ sum @ '+' ) )
!= ( a @ s @ s @ ( a @ s @ times ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(16,plain,
( ( a @ s @ sum @ ( a @ s @ sum @ '+' ) )
!= ( a @ s @ s @ ( a @ s @ times ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(17,plain,
( ( a @ s @ sum @ ( a @ s @ sum @ '+' ) )
!= ( a @ s @ s @ ( a @ s @ times ) ) ),
inference(polarity_switch,[status(thm)],[16]) ).
thf(18,plain,
( ( a @ s @ s @ ( a @ s @ times ) )
!= ( a @ s @ sum @ ( a @ s @ sum @ '+' ) ) ),
inference(lifteq,[status(thm)],[17]) ).
thf(53,plain,
! [A: $i] :
( ( ( one @ ( A @ times ) )
!= ( a @ s @ s @ ( a @ s @ times ) ) )
| ( A
!= ( a @ s @ sum @ ( a @ s @ sum @ '+' ) ) ) ),
inference(paramod_ordered,[status(thm)],[32,18]) ).
thf(56,plain,
( ( ( a @ s @ s )
!= one )
| ( ( a @ s @ sum @ ( a @ s @ sum @ '+' ) )
!= ( a @ s ) ) ),
inference(simp,[status(thm)],[53]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ times ) )
= ( A @ ( B @ times ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',times_comm) ).
thf(23,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ times ) )
= ( A @ ( B @ times ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(24,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ times ) )
= ( A @ ( B @ times ) ) ),
inference(lifteq,[status(thm)],[23]) ).
thf(7,axiom,
! [A: $i] :
( ( zero @ ( A @ times ) )
= zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',times_zero) ).
thf(29,plain,
! [A: $i] :
( ( zero @ ( A @ times ) )
= zero ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(30,plain,
! [A: $i] :
( ( zero @ ( A @ times ) )
= zero ),
inference(lifteq,[status(thm)],[29]) ).
thf(347,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ times ) )
!= ( zero @ ( C @ times ) ) )
| ( ( A @ ( B @ times ) )
= zero ) ),
inference(paramod_ordered,[status(thm)],[24,30]) ).
thf(348,plain,
! [A: $i] :
( ( A @ ( zero @ times ) )
= zero ),
inference(pattern_uni,[status(thm)],[347:[bind(A,$thf( A )),bind(B,$thf( zero )),bind(C,$thf( A ))]]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ '+' ) )
= ( A @ ( B @ '+' ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus_comm) ).
thf(19,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ '+' ) )
= ( A @ ( B @ '+' ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(20,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ '+' ) )
= ( A @ ( B @ '+' ) ) ),
inference(lifteq,[status(thm)],[19]) ).
thf(6,axiom,
! [A: $i] :
( ( zero @ ( A @ '+' ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus_zero) ).
thf(27,plain,
! [A: $i] :
( ( zero @ ( A @ '+' ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(28,plain,
! [A: $i] :
( ( zero @ ( A @ '+' ) )
= A ),
inference(lifteq,[status(thm)],[27]) ).
thf(91,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ '+' ) )
!= ( zero @ ( C @ '+' ) ) )
| ( ( A @ ( B @ '+' ) )
= C ) ),
inference(paramod_ordered,[status(thm)],[20,28]) ).
thf(92,plain,
! [A: $i] :
( ( A @ ( zero @ '+' ) )
= A ),
inference(pattern_uni,[status(thm)],[91:[bind(A,$thf( A )),bind(B,$thf( zero )),bind(C,$thf( A ))]]) ).
thf(13,axiom,
( ( zero @ sum )
= zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_zero) ).
thf(41,plain,
( ( zero @ sum )
= zero ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(42,plain,
( ( zero @ sum )
= zero ),
inference(lifteq,[status(thm)],[41]) ).
thf(14,axiom,
! [A: $i] :
( ( A @ s @ sum )
= ( A @ sum @ ( A @ s @ '+' ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_s) ).
thf(43,plain,
! [A: $i] :
( ( A @ s @ sum )
= ( A @ sum @ ( A @ s @ '+' ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(44,plain,
! [A: $i] :
( ( A @ sum @ ( A @ s @ '+' ) )
= ( A @ s @ sum ) ),
inference(lifteq,[status(thm)],[43]) ).
thf(128,plain,
! [A: $i] :
( ( ( zero @ sum )
!= ( A @ sum ) )
| ( ( zero @ ( A @ s @ '+' ) )
= ( A @ s @ sum ) ) ),
inference(paramod_ordered,[status(thm)],[42,44]) ).
thf(129,plain,
( ( zero @ ( zero @ s @ '+' ) )
= ( zero @ s @ sum ) ),
inference(pattern_uni,[status(thm)],[128:[bind(A,$thf( zero ))]]) ).
thf(227,plain,
( ( zero @ s @ sum )
= ( zero @ s ) ),
inference(rewrite,[status(thm)],[129,28]) ).
thf(235,plain,
! [A: $i] :
( ( ( zero @ s @ sum )
!= ( A @ sum ) )
| ( ( zero @ s @ ( A @ s @ '+' ) )
= ( A @ s @ sum ) ) ),
inference(paramod_ordered,[status(thm)],[227,44]) ).
thf(236,plain,
( ( zero @ s @ ( zero @ s @ s @ '+' ) )
= ( zero @ s @ s @ sum ) ),
inference(pattern_uni,[status(thm)],[235:[bind(A,$thf( zero @ s ))]]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ s @ times ) )
= ( B @ ( A @ times ) @ ( B @ '+' ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',times_s) ).
thf(39,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ s @ times ) )
= ( B @ ( A @ times ) @ ( B @ '+' ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(54,plain,
! [A: $i] :
( ( ( zero @ ( A @ times ) )
!= ( a @ s @ s @ ( a @ s @ times ) ) )
| ( ( a @ s @ sum @ ( a @ s @ sum @ '+' ) )
!= zero ) ),
inference(paramod_ordered,[status(thm)],[30,18]) ).
thf(57,plain,
! [A: $i] :
( ( ( a @ s @ s )
!= zero )
| ( A
!= ( a @ s ) )
| ( ( a @ s @ sum @ ( a @ s @ sum @ '+' ) )
!= zero ) ),
inference(simp,[status(thm)],[54]) ).
thf(58,plain,
( ( ( a @ s @ s )
!= zero )
| ( ( a @ s @ sum @ ( a @ s @ sum @ '+' ) )
!= zero ) ),
inference(simp,[status(thm)],[57]) ).
thf(61,plain,
! [A: $i] :
( ( ( zero @ ( A @ '+' ) )
!= ( a @ s @ sum @ ( a @ s @ sum @ '+' ) ) )
| ( ( a @ s @ s )
!= zero )
| ( A != zero ) ),
inference(paramod_ordered,[status(thm)],[28,58]) ).
thf(65,plain,
( ( ( a @ s @ sum )
!= zero )
| ( ( a @ s @ sum )
!= zero )
| ( ( a @ s @ s )
!= zero ) ),
inference(simp,[status(thm)],[61]) ).
thf(66,plain,
( ( ( a @ s @ sum )
!= zero )
| ( ( a @ s @ s )
!= zero ) ),
inference(simp,[status(thm)],[65]) ).
thf(85,plain,
( ( ( a @ s @ sum )
!= ( zero @ sum ) )
| ( zero != zero )
| ( ( a @ s @ s )
!= zero ) ),
inference(paramod_ordered,[status(thm)],[42,66]) ).
thf(86,plain,
( ( ( a @ s @ sum )
!= ( zero @ sum ) )
| ( ( a @ s @ s )
!= zero ) ),
inference(simp,[status(thm)],[85]) ).
thf(87,plain,
( ( ( a @ s )
!= zero )
| ( ( a @ s @ s )
!= zero ) ),
inference(simp,[status(thm)],[86]) ).
thf(15,axiom,
( ( a @ sum @ ( a @ sum @ '+' ) )
= ( a @ s @ ( a @ times ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction_hypothesis) ).
thf(45,plain,
( ( a @ sum @ ( a @ sum @ '+' ) )
= ( a @ s @ ( a @ times ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(46,plain,
( ( a @ s @ ( a @ times ) )
= ( a @ sum @ ( a @ sum @ '+' ) ) ),
inference(lifteq,[status(thm)],[45]) ).
thf(357,plain,
! [B: $i,A: $i] :
( ( ( a @ s @ ( a @ times ) )
!= ( B @ ( A @ times ) ) )
| ( ( A @ ( B @ times ) )
= ( a @ sum @ ( a @ sum @ '+' ) ) ) ),
inference(paramod_ordered,[status(thm)],[46,24]) ).
thf(358,plain,
( ( a @ ( a @ s @ times ) )
= ( a @ sum @ ( a @ sum @ '+' ) ) ),
inference(pattern_uni,[status(thm)],[357:[bind(A,$thf( a )),bind(B,$thf( a @ s ))]]) ).
thf(401,plain,
( ( ( a @ s @ s @ ( a @ s @ times ) )
!= ( a @ ( a @ s @ times ) ) )
| ( ( a @ s @ sum @ ( a @ s @ sum @ '+' ) )
!= ( a @ sum @ ( a @ sum @ '+' ) ) ) ),
inference(paramod_ordered,[status(thm)],[358,18]) ).
thf(422,plain,
( ( ( a @ s @ s )
!= a )
| ( ( a @ s )
!= ( a @ s ) )
| ( ( a @ s @ sum )
!= ( a @ sum ) )
| ( ( a @ s @ sum )
!= ( a @ sum ) ) ),
inference(simp,[status(thm)],[401]) ).
thf(431,plain,
( ( ( a @ s @ s )
!= a )
| ( ( a @ s @ sum )
!= ( a @ sum ) ) ),
inference(simp,[status(thm)],[422]) ).
thf(434,plain,
( ( ( a @ s @ s )
!= a )
| ( ( a @ s )
!= a ) ),
inference(simp,[status(thm)],[431]) ).
thf(439,plain,
( ( a != a )
| ( ( a @ s @ s )
!= ( a @ s ) )
| ( ( a @ s )
!= a ) ),
inference(eqfactor_ordered,[status(thm)],[434]) ).
thf(441,plain,
( ( ( a @ s )
!= a )
| ( ( a @ s )
!= a ) ),
inference(simp,[status(thm)],[439]) ).
thf(442,plain,
( ( a @ s )
!= a ),
inference(simp,[status(thm)],[441]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ s @ '+' ) )
= ( B @ ( A @ '+' ) @ s ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus_s) ).
thf(37,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ s @ '+' ) )
= ( B @ ( A @ '+' ) @ s ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(5,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ times ) @ ( A @ times ) )
= ( C @ ( B @ ( A @ times ) @ times ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',times_assoc) ).
thf(25,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ times ) @ ( A @ times ) )
= ( C @ ( B @ ( A @ times ) @ times ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(232,plain,
( ( ( zero @ s @ sum )
!= ( a @ s @ sum ) )
| ( ( zero @ s )
!= zero )
| ( ( a @ s @ s )
!= zero ) ),
inference(paramod_ordered,[status(thm)],[227,66]) ).
thf(243,plain,
( ( ( zero @ s )
!= ( a @ s ) )
| ( ( zero @ s )
!= zero )
| ( ( a @ s @ s )
!= zero ) ),
inference(simp,[status(thm)],[232]) ).
thf(323,plain,
( ( zero != zero )
| ( ( a @ s @ s )
!= ( zero @ s ) )
| ( ( zero @ s )
!= ( a @ s ) )
| ( ( zero @ s )
!= zero ) ),
inference(eqfactor_ordered,[status(thm)],[243]) ).
thf(325,plain,
( ( ( a @ s @ s )
!= ( zero @ s ) )
| ( zero != a )
| ( ( zero @ s )
!= zero ) ),
inference(simp,[status(thm)],[323]) ).
thf(88,plain,
( ( zero != zero )
| ( ( a @ s @ s )
!= ( a @ s ) )
| ( ( a @ s )
!= zero ) ),
inference(eqfactor_ordered,[status(thm)],[87]) ).
thf(89,plain,
( ( ( a @ s @ s )
!= ( a @ s ) )
| ( ( a @ s )
!= zero ) ),
inference(simp,[status(thm)],[88]) ).
thf(3,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ '+' ) @ ( A @ '+' ) )
= ( C @ ( B @ ( A @ '+' ) @ '+' ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus_assoc) ).
thf(21,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ '+' ) @ ( A @ '+' ) )
= ( C @ ( B @ ( A @ '+' ) @ '+' ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ '+' ) @ ( A @ times ) )
= ( C @ ( A @ times ) @ ( B @ ( A @ times ) @ '+' ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distr) ).
thf(33,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ '+' ) @ ( A @ times ) )
= ( C @ ( A @ times ) @ ( B @ ( A @ times ) @ '+' ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(34,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ '+' ) @ ( A @ times ) )
= ( C @ ( A @ times ) @ ( B @ ( A @ times ) @ '+' ) ) ),
inference(lifteq,[status(thm)],[33]) ).
thf(567,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ '+' ) @ ( A @ times ) )
!= ( D @ ( zero @ times ) ) )
| ( ( C @ ( A @ times ) @ ( B @ ( A @ times ) @ '+' ) )
= zero ) ),
inference(paramod_ordered,[status(thm)],[34,348]) ).
thf(568,plain,
! [B: $i,A: $i] :
( ( B @ ( zero @ times ) @ ( A @ ( zero @ times ) @ '+' ) )
= zero ),
inference(pattern_uni,[status(thm)],[567:[bind(A,$thf( zero )),bind(B,$thf( E )),bind(C,$thf( F )),bind(D,$thf( F @ ( E @ '+' ) ))]]) ).
thf(646,plain,
! [B: $i,A: $i] :
( ( B @ ( zero @ times ) @ ( A @ ( zero @ times ) @ '+' ) )
= zero ),
inference(simp,[status(thm)],[568]) ).
thf(654,plain,
( ( zero @ ( zero @ '+' ) )
= zero ),
inference(rewrite,[status(thm)],[646,348]) ).
thf(22,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ '+' ) @ '+' ) )
= ( C @ ( B @ '+' ) @ ( A @ '+' ) ) ),
inference(lifteq,[status(thm)],[21]) ).
thf(250,plain,
! [B: $i,A: $i] :
( ( ( zero @ s @ ( zero @ s @ s @ '+' ) )
!= ( B @ ( A @ '+' ) ) )
| ( ( A @ ( B @ '+' ) )
= ( zero @ s @ s @ sum ) ) ),
inference(paramod_ordered,[status(thm)],[236,20]) ).
thf(251,plain,
( ( zero @ s @ s @ ( zero @ s @ '+' ) )
= ( zero @ s @ s @ sum ) ),
inference(pattern_uni,[status(thm)],[250:[bind(A,$thf( zero @ s @ s )),bind(B,$thf( zero @ s ))]]) ).
thf(10,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ '+' ) @ times ) )
= ( C @ ( B @ times ) @ ( C @ ( A @ times ) @ '+' ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distr_001) ).
thf(35,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ '+' ) @ times ) )
= ( C @ ( B @ times ) @ ( C @ ( A @ times ) @ '+' ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(327,plain,
( ( ( a @ s )
!= zero )
| ( zero != a )
| ( ( zero @ s )
!= zero ) ),
inference(simp,[status(thm)],[323]) ).
thf(328,plain,
( ( zero != zero )
| ( ( zero @ s )
!= ( a @ s ) )
| ( ( a @ s )
!= zero )
| ( zero != a ) ),
inference(eqfactor_ordered,[status(thm)],[327]) ).
thf(330,plain,
( ( zero != a )
| ( ( a @ s )
!= zero )
| ( zero != a ) ),
inference(simp,[status(thm)],[328]) ).
thf(331,plain,
( ( ( a @ s )
!= zero )
| ( zero != a ) ),
inference(simp,[status(thm)],[330]) ).
thf(337,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ times ) )
!= ( one @ ( C @ times ) ) )
| ( ( A @ ( B @ times ) )
= C ) ),
inference(paramod_ordered,[status(thm)],[24,32]) ).
thf(338,plain,
! [A: $i] :
( ( A @ ( one @ times ) )
= A ),
inference(pattern_uni,[status(thm)],[337:[bind(A,$thf( A )),bind(B,$thf( one )),bind(C,$thf( A ))]]) ).
thf(26,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ times ) @ times ) )
= ( C @ ( B @ times ) @ ( A @ times ) ) ),
inference(lifteq,[status(thm)],[25]) ).
thf(326,plain,
( ( ( a @ s )
!= zero )
| ( ( zero @ s )
!= ( a @ s ) )
| ( ( zero @ s )
!= zero ) ),
inference(simp,[status(thm)],[323]) ).
thf(322,plain,
( ( zero != a )
| ( ( zero @ s )
!= zero )
| ( ( a @ s @ s )
!= zero ) ),
inference(simp,[status(thm)],[243]) ).
thf(802,plain,
$false,
inference(e,[status(thm)],[56,348,92,236,39,18,43,87,58,442,42,24,37,25,20,46,325,29,89,243,28,21,33,654,41,45,32,34,22,44,27,66,251,431,35,331,16,338,31,26,23,30,19,326,358,227,322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN134-1 : TPTP v9.3.1. Released v8.1.0.
% 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
% 0.14/0.40 % Computer : n002.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 04:40:05 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 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
% 0.89/1.01 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.41/1.21 % [INFO] Parsing done (194ms).
% 1.41/1.22 % [INFO] Running in sequential loop mode.
% 1.99/1.64 % [INFO] eprover registered as external prover.
% 1.99/1.65 % [INFO] Scanning for conjecture ...
% 2.21/1.74 % [INFO] Found a conjecture (or negated_conjecture) and 14 axioms. Running axiom selection ...
% 2.21/1.77 % [INFO] Axiom selection finished. Selected 14 axioms (removed 0 axioms).
% 2.37/1.80 % [INFO] Problem is propositional (TPTP CNF).
% 2.37/1.81 % [INFO] Type checking passed.
% 2.37/1.81 % [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 ...
% 10.48/3.92 % External prover 'e' found a proof!
% 10.48/3.92 % [INFO] Killing All external provers ...
% 10.48/3.92 % Time passed: 3369ms (effective reasoning time: 2691ms)
% 10.48/3.93 % Axioms used in derivation (14): distr_001, sum_zero, plus_zero, times_assoc, induction_hypothesis, sum_s, plus_comm, times_comm, plus_s, distr, times_zero, times_s, plus_assoc, times_one
% 10.48/3.93 % No. of inferences in proof: 93
% 10.48/3.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 3369 ms resp. 2691 ms w/o parsing
% 10.48/3.99 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.48/3.99 % [INFO] Killing All external provers ...
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