%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL040-1 : TPTP v9.2.1. Released v1.0.0.
% 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 : n014.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 04:39:14 PM UTC 2026
% Result : Unsatisfiable 157.31s 105.91s
% Output : CNFRefutation 157.31s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_23)
% Comments :
%------------------------------------------------------------------------------
cnf(cn_35,axiom,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_35) ).
cnf(prove_cn_21,negated_conjecture,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_21) ).
cnf(cn_46,axiom,
is_a_theorem(implies(implies(X1,X2),implies(not(X2),not(X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_46) ).
cnf(cn_18,axiom,
is_a_theorem(implies(X1,implies(X2,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).
cnf(cn_39,axiom,
is_a_theorem(implies(not(not(X1)),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_39) ).
cnf(cn_40,axiom,
is_a_theorem(implies(X1,not(not(X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_40) ).
cnf(condensed_detachment,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(i_0_7,axiom,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
cn_35,
[final] ).
cnf(i_0_8,negated_conjecture,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))),
prove_cn_21,
[final] ).
cnf(i_0_9,axiom,
is_a_theorem(implies(implies(X1,X2),implies(not(X2),not(X1)))),
cn_46,
[final] ).
cnf(i_0_10,axiom,
is_a_theorem(implies(X1,implies(X2,X1))),
cn_18,
[final] ).
cnf(i_0_11,axiom,
is_a_theorem(implies(not(not(X1)),X1)),
cn_39,
[final] ).
cnf(i_0_12,axiom,
is_a_theorem(implies(X1,not(not(X1)))),
cn_40,
[final] ).
cnf(i_0_13,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
condensed_detachment,
[final] ).
cnf(i_0_29,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X2),X2))),
inference(scs_inference,[],[i_0_23,i_0_7,i_0_13]) ).
cnf(i_0_31,plain,
is_a_theorem(implies(X1,X1)),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_59,plain,
is_a_theorem(implies(X1,implies(X2,X2))),
inference(scs_inference,[],[i_0_23,i_0_10,i_0_13]) ).
cnf(i_0_111,plain,
~ is_a_theorem(implies(implies(X1,X1),implies(implies(a,implies(b,c)),implies(b,implies(a,c))))),
inference(scs_inference,[],[i_0_8,i_0_23,i_0_13]) ).
cnf(i_0_62,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),X2)),
inference(scs_inference,[],[i_0_29,i_0_59,i_0_13]) ).
cnf(i_0_63,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X2),X2))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_64,plain,
is_a_theorem(implies(X1,implies(X2,X2))),
inference(rename_variables,[],[i_0_59]) ).
cnf(i_0_77,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X3)))),
inference(scs_inference,[],[i_0_59,i_0_10,i_0_13]) ).
cnf(c_0_119,axiom,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(X2) ),
i_0_13 ).
cnf(c_0_120,axiom,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
i_0_7 ).
cnf(c_0_121,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))
| ~ is_a_theorem(implies(X1,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_122,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(X3,X2)))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(spm,[status(thm)],[c_0_119,c_0_121]) ).
cnf(c_0_123,axiom,
is_a_theorem(implies(not(not(X1)),X1)),
i_0_11 ).
cnf(c_0_124,axiom,
is_a_theorem(implies(X1,implies(X2,X1))),
i_0_10 ).
cnf(c_0_125,plain,
( is_a_theorem(implies(not(not(X1)),X2))
| ~ is_a_theorem(implies(not(not(X1)),implies(X1,X2))) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_126,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_119,c_0_124]) ).
cnf(c_0_127,plain,
( is_a_theorem(implies(not(not(X1)),X2))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_128,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(not(not(X2)))
| ~ is_a_theorem(implies(X2,X1)) ),
inference(spm,[status(thm)],[c_0_119,c_0_127]) ).
cnf(c_0_129,axiom,
is_a_theorem(implies(implies(X1,X2),implies(not(X2),not(X1)))),
i_0_9 ).
cnf(c_0_130,plain,
~ is_a_theorem(implies(implies(X1,X1),implies(implies(a,implies(b,c)),implies(b,implies(a,c))))),
i_0_111 ).
cnf(c_0_131,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(not(not(X2))) ),
inference(spm,[status(thm)],[c_0_128,c_0_124]) ).
cnf(c_0_132,plain,
( is_a_theorem(implies(not(X1),not(X2)))
| ~ is_a_theorem(implies(X2,X1)) ),
inference(spm,[status(thm)],[c_0_119,c_0_129]) ).
cnf(c_0_133,plain,
~ is_a_theorem(not(not(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))))),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_134,plain,
( is_a_theorem(not(X1))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(not(X2)) ),
inference(spm,[status(thm)],[c_0_119,c_0_132]) ).
cnf(c_0_135,axiom,
is_a_theorem(implies(X1,not(not(X1)))),
i_0_12 ).
cnf(c_0_136,plain,
( ~ is_a_theorem(implies(not(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))),X1))
| ~ is_a_theorem(not(X1)) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_137,plain,
( is_a_theorem(not(not(X1)))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_119,c_0_135]) ).
cnf(c_0_138,plain,
( ~ is_a_theorem(implies(not(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))),not(X1)))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_139,plain,
( ~ is_a_theorem(implies(X1,implies(implies(a,implies(b,c)),implies(b,implies(a,c)))))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_138,c_0_132]) ).
cnf(c_0_140,plain,
( ~ is_a_theorem(implies(implies(a,implies(b,c)),implies(X1,implies(b,implies(a,c)))))
| ~ is_a_theorem(implies(implies(a,implies(b,c)),X1)) ),
inference(spm,[status(thm)],[c_0_139,c_0_121]) ).
cnf(c_0_141,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(implies(X3,X1),X2))) ),
inference(spm,[status(thm)],[c_0_122,c_0_124]) ).
cnf(c_0_142,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(X3,X2)))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_122,c_0_126]) ).
cnf(c_0_143,plain,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(implies(a,b),implies(a,c)),implies(b,implies(a,c))))),
inference(spm,[status(thm)],[c_0_140,c_0_120]) ).
cnf(c_0_144,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X1),X2)) ),
inference(spm,[status(thm)],[c_0_141,c_0_126]) ).
cnf(c_0_145,plain,
( is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X1,X3)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_142,c_0_120]) ).
cnf(c_0_146,plain,
~ is_a_theorem(implies(implies(implies(a,b),implies(a,c)),implies(b,implies(a,c)))),
inference(spm,[status(thm)],[c_0_143,c_0_126]) ).
cnf(c_0_147,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_148,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_124])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL040-1 : TPTP v9.2.1. Released v1.0.0.
% 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
% 0.12/0.32 % Computer : n014.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon May 4 21:54:21 EDT 2026
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % start to proof: theBenchmark
% 157.31/105.91 % Version : CSE_E---1.7
% 157.31/105.91 % Problem : theBenchmark.p
% 157.31/105.91 % SZS status Unsatisfiable for theBenchmark.p
% 157.31/105.91 % SZS output start CNFRefutation
% See solution above
% 157.31/105.98 % Total time : 105.087s
%------------------------------------------------------------------------------