%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYO632-1 : TPTP v9.2.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:54:05 PM UTC 2026
% Result : Unsatisfiable 0.25s 1.62s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 3 RR)
% Number of literals : 13 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 14 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_2_02,axiom,
'E'(f('AP'(s(s('0')),X1)),'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2_02) ).
cnf(clause_4_01,axiom,
'LEQ'('AP'('0',X1),'AP'(s(s('0')),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4_01) ).
cnf(clause_1_04,axiom,
( ~ 'E'(f(X1),'0')
| ~ 'E'(f(X2),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1_04) ).
cnf(clause_3_05,axiom,
'LEQ'('AP'(s('0'),X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3_05) ).
cnf(clause_0_03,axiom,
'E'(f(X1),s('0')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_0_03) ).
cnf(i_0_5,axiom,
'E'(f('AP'(s(s('0')),X1)),'0'),
clause_2_02,
[final] ).
cnf(i_0_6,axiom,
'LEQ'('AP'('0',X1),'AP'(s(s('0')),X1)),
clause_4_01,
[final] ).
cnf(i_0_7,axiom,
( ~ 'E'(f(X1),'0')
| ~ 'E'(f(X2),s('0')) ),
clause_1_04,
[final] ).
cnf(i_0_8,axiom,
'LEQ'('AP'(s('0'),X1),X2),
clause_3_05,
[final] ).
cnf(i_0_9,axiom,
'E'(f(X1),s('0')),
clause_0_03,
[final] ).
cnf(i_0_10,plain,
$false,
inference(scs_inference,[],[i_0_5,i_0_9,i_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO632-1 : TPTP v9.2.1. Released v7.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n020.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 09:18:50 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 0.25/1.62 % Version : CSE_E---1.7
% 0.25/1.62 % Problem : theBenchmark.p
% 0.25/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 0.25/1.62 % SZS output start CNFRefutation
% See solution above
% 0.25/1.64 % Total time : 1.272s
%------------------------------------------------------------------------------