%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYO633-1 : 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 : n010.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 1.22s 1.71s
% Output : CNFRefutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 9 unt; 0 nHn; 9 RR)
% Number of literals : 64 ( 0 equ; 48 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 61 ( 59 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1_10,axiom,
( 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| ~ 'E'(f(X2),s(s(s(s(s('0')))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1_10) ).
cnf(clause_6_04,axiom,
'E'(f(X1),s(s(s(s('0'))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6_04) ).
cnf(clause_8_05,axiom,
'E'(f(X1),s(s(s(s(s('0')))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8_05) ).
cnf(clause_5_03,axiom,
( ~ 'E'(f(X1),s(s('0')))
| ~ 'E'(f(X2),s(s(s(s('0')))))
| ~ 'E'(f(X3),s(s(s('0'))))
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X5),'0')
| ~ 'E'(f(X6),s(s(s(s(s('0')))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5_03) ).
cnf(clause_2_07,axiom,
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X6)),'0')
| ~ 'E'(f(X1),s(s('0')))
| ~ 'E'(f(X2),s(s(s(s('0')))))
| ~ 'E'(f(X3),s(s(s('0'))))
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X5),s(s(s(s(s('0')))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2_07) ).
cnf(clause_4_12,axiom,
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X4)),s(s('0')))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X3),s(s(s('0')))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4_12) ).
cnf(clause_12_09,axiom,
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X5)),s('0'))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X3),s(s(s('0'))))
| ~ 'E'(f(X4),s(s('0'))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12_09) ).
cnf(c_0_7,axiom,
( 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| ~ 'E'(f(X2),s(s(s(s(s('0')))))) ),
clause_1_10 ).
cnf(c_0_8,axiom,
'E'(f(X1),s(s(s(s('0'))))),
clause_6_04 ).
cnf(c_0_9,axiom,
'E'(f(X1),s(s(s(s(s('0')))))),
clause_8_05 ).
cnf(c_0_10,axiom,
( ~ 'E'(f(X1),s(s('0')))
| ~ 'E'(f(X2),s(s(s(s('0')))))
| ~ 'E'(f(X3),s(s(s('0'))))
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X5),'0')
| ~ 'E'(f(X6),s(s(s(s(s('0')))))) ),
clause_5_03 ).
cnf(c_0_11,plain,
'E'(f(X1),s(s(s('0')))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
cnf(c_0_12,axiom,
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X6)),'0')
| ~ 'E'(f(X1),s(s('0')))
| ~ 'E'(f(X2),s(s(s(s('0')))))
| ~ 'E'(f(X3),s(s(s('0'))))
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X5),s(s(s(s(s('0')))))) ),
clause_2_07 ).
cnf(c_0_13,plain,
( ~ 'E'(f(X1),s(s('0')))
| ~ 'E'(f(X2),s('0'))
| ~ 'E'(f(X3),'0') ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_14,axiom,
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X4)),s(s('0')))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X3),s(s(s('0')))) ),
clause_4_12 ).
cnf(c_0_15,axiom,
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X5)),s('0'))
| ~ 'E'(f(X1),s(s(s(s('0')))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X3),s(s(s('0'))))
| ~ 'E'(f(X4),s(s('0'))) ),
clause_12_09 ).
cnf(c_0_16,plain,
( ~ 'E'(f(X1),s(s('0')))
| ~ 'E'(f(X2),s('0')) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_11]),c_0_8]),c_0_9])]),c_0_13]) ).
cnf(c_0_17,plain,
'E'(f('AP'(s(s(s(s(s(s('0')))))),X1)),s(s('0'))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_18,plain,
( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X1)),s('0'))
| ~ 'E'(f(X2),s(s('0'))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_19,plain,
~ 'E'(f(X1),s('0')),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
~ 'E'(f(X1),s(s('0'))),
inference(sr,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
$false,
inference(sr,[status(thm)],[c_0_17,c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO633-1 : TPTP v9.2.1. Released v7.1.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n010.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 09:18:21 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.22/1.71 % Version : CSE_E---1.7
% 1.22/1.71 % Problem : theBenchmark.p
% 1.22/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.22/1.71 % SZS output start CNFRefutation
% See solution above
% 1.22/1.71 % Total time : 1.370s
%------------------------------------------------------------------------------