%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL216-3 : TPTP v9.2.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n028.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 04:39:46 PM UTC 2026
% Result : Unsatisfiable 113.65s 78.16s
% Output : CNFRefutation 114.24s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_10)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(or(p,q),implies(or(p,not(q)),p))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(implies_definition,axiom,
implies(X1,X2) = or(not(X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X1,X1),X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
cnf(axiom_1_3,axiom,
axiom(implies(X1,or(X2,X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(rule_2,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(rule_1,axiom,
( theorem(X1)
| ~ axiom(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(i_0_9,negated_conjecture,
~ theorem(implies(or(p,q),implies(or(p,not(q)),p))),
prove_this ).
cnf(i_0_10,axiom,
implies(X1,X2) = or(not(X1),X2),
implies_definition ).
cnf(i_0_11,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
axiom_1_6 ).
cnf(i_0_12,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
axiom_1_5 ).
cnf(i_0_13,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
axiom_1_4 ).
cnf(i_0_14,axiom,
axiom(implies(or(X1,X1),X1)),
axiom_1_2 ).
cnf(i_0_15,axiom,
axiom(implies(X1,or(X2,X1))),
axiom_1_3 ).
cnf(i_0_16,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
rule_2 ).
cnf(i_0_17,negated_conjecture,
~ theorem(or(not(or(p,q)),or(not(or(p,not(q))),p))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_9,c_0_10]),c_0_10]),
[final] ).
cnf(i_0_18,plain,
axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_11,c_0_10]),c_0_10]),c_0_10]),
[final] ).
cnf(i_0_19,plain,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rw,[status(thm)],[i_0_12,c_0_10]),
[final] ).
cnf(i_0_20,plain,
axiom(or(not(or(X1,X2)),or(X2,X1))),
inference(rw,[status(thm)],[i_0_13,c_0_10]),
[final] ).
cnf(i_0_21,plain,
axiom(or(not(or(X1,X1)),X1)),
inference(rw,[status(thm)],[i_0_14,c_0_10]),
[final] ).
cnf(i_0_22,plain,
axiom(or(not(X1),or(X2,X1))),
inference(rw,[status(thm)],[i_0_15,c_0_10]),
[final] ).
cnf(i_0_23,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
inference(rw,[status(thm)],[i_0_16,c_0_10]),
[final] ).
cnf(i_0_24,axiom,
( theorem(X1)
| ~ axiom(X1) ),
rule_1,
[final] ).
cnf(i_0_413,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_431,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_434,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_452,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_461,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_472,plain,
theorem(or(not(or(X1,or(X2,or(X3,or(X4,X5))))),or(X1,or(X2,or(X3,or(X5,X4)))))),
inference(scs_inference,[],[i_0_34,i_0_27]) ).
cnf(i_0_517,plain,
theorem(or(not(or(X1,or(X2,or(not(X3),X4)))),or(X1,or(X2,or(not(or(X5,X3)),or(X5,X4)))))),
inference(scs_inference,[],[i_0_512,i_0_27]) ).
cnf(i_0_520,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
inference(rename_variables,[],[i_0_512]) ).
cnf(i_0_541,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
inference(rename_variables,[],[i_0_512]) ).
cnf(i_0_568,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
inference(rename_variables,[],[i_0_512]) ).
cnf(i_0_583,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X4,X3))))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_586,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X4,X3))))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_589,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X4,X3))))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_595,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X4,X3))))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_601,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
inference(rename_variables,[],[i_0_512]) ).
cnf(i_0_897,plain,
~ axiom(or(not(or(p,q)),p)),
inference(scs_inference,[],[i_0_40,i_0_24]) ).
cnf(i_0_904,plain,
~ axiom(or(not(or(p,q)),p)),
inference(scs_inference,[],[i_0_40,i_0_24]) ).
cnf(i_0_48,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(scs_inference,[],[i_0_44,i_0_27]) ).
cnf(i_0_50,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(scs_inference,[],[i_0_44,i_0_19,i_0_27,i_0_24]) ).
cnf(i_0_67,plain,
~ theorem(or(or(not(or(p,q)),p),or(not(or(p,q)),p))),
inference(scs_inference,[],[i_0_40,i_0_44,i_0_23]) ).
cnf(i_0_68,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_89,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_101,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_106,plain,
~ theorem(not(or(p,q))),
inference(scs_inference,[],[i_0_61,i_0_36,i_0_23]) ).
cnf(i_0_109,plain,
~ theorem(or(or(p,not(or(p,q))),or(p,not(or(p,q))))),
inference(scs_inference,[],[i_0_61,i_0_44,i_0_23]) ).
cnf(i_0_110,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_122,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_143,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_197,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_227,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_245,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_284,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_299,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_365,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_374,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_389,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X4,or(X3,X2))))),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_392,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X4,or(X3,X2))))),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_446,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_467,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_482,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X3,or(X5,X4)))))),
inference(scs_inference,[],[i_0_42,i_0_27]) ).
cnf(i_0_492,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X5,or(X4,X3)))))),
inference(scs_inference,[],[i_0_46,i_0_27]) ).
cnf(i_0_523,plain,
theorem(or(not(or(X1,or(X2,or(not(X3),X4)))),or(X1,or(X2,or(not(or(X5,X3)),or(X5,X4)))))),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_532,plain,
theorem(or(not(or(X1,or(X2,or(X3,or(X4,X5))))),or(X1,or(X2,or(X3,or(X5,X4)))))),
inference(rename_variables,[],[i_0_472]) ).
cnf(i_0_535,plain,
theorem(or(not(or(X1,or(X2,or(X3,or(X4,X5))))),or(X1,or(X2,or(X3,or(X5,X4)))))),
inference(rename_variables,[],[i_0_472]) ).
cnf(i_0_538,plain,
theorem(or(not(or(X1,or(X2,or(not(X3),X4)))),or(X1,or(X2,or(not(or(X5,X3)),or(X5,X4)))))),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_553,plain,
theorem(or(not(or(X1,or(X2,or(not(X3),X4)))),or(X1,or(X2,or(not(or(X5,X3)),or(X5,X4)))))),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_559,plain,
theorem(or(not(or(X1,or(X2,or(X3,or(X4,X5))))),or(X1,or(X2,or(X3,or(X5,X4)))))),
inference(rename_variables,[],[i_0_472]) ).
cnf(i_0_571,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_577,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_580,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X4,or(X3,X2))))),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_592,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_604,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X4,or(X3,X2))))),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_613,plain,
theorem(or(not(or(X1,or(X2,or(X3,or(X4,X5))))),or(X1,or(X2,or(X3,or(X5,X4)))))),
inference(rename_variables,[],[i_0_472]) ).
cnf(i_0_623,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(not(or(p,q)),or(not(or(p,not(q))),p)))),
inference(scs_inference,[],[i_0_17,i_0_44,i_0_24,i_0_23]) ).
cnf(i_0_635,plain,
~ axiom(p),
inference(scs_inference,[],[i_0_64,i_0_24]) ).
cnf(i_0_902,plain,
~ theorem(or(not(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),or(not(or(p,q)),p))),
inference(scs_inference,[],[i_0_40,i_0_42,i_0_23]) ).
cnf(i_0_911,plain,
~ theorem(or(not(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),p)),
inference(scs_inference,[],[i_0_42,i_0_64,i_0_23]) ).
cnf(i_0_1169,plain,
~ axiom(or(p,not(or(p,q)))),
inference(scs_inference,[],[i_0_61,i_0_24]) ).
cnf(i_0_1173,plain,
~ axiom(or(p,not(or(p,q)))),
inference(scs_inference,[],[i_0_61,i_0_24]) ).
cnf(i_0_1177,plain,
~ axiom(or(p,not(or(p,q)))),
inference(scs_inference,[],[i_0_61,i_0_24]) ).
cnf(i_0_1181,plain,
~ axiom(p),
inference(scs_inference,[],[i_0_64,i_0_24]) ).
cnf(i_0_1183,plain,
~ theorem(or(not(or(not(or(X1,or(X2,X3))),or(X1,or(X4,or(X3,X2))))),p)),
inference(scs_inference,[],[i_0_64,i_0_46,i_0_23]) ).
cnf(i_0_1185,plain,
~ axiom(p),
inference(scs_inference,[],[i_0_64,i_0_24]) ).
cnf(i_0_52,plain,
theorem(or(not(or(X1,or(X2,or(X3,X3)))),or(X1,or(X2,X3)))),
inference(scs_inference,[],[i_0_48,i_0_27]) ).
cnf(i_0_54,plain,
~ theorem(or(not(or(p,q)),or(not(or(p,not(q))),or(p,p)))),
inference(scs_inference,[],[i_0_17,i_0_48,i_0_27,i_0_23]) ).
cnf(i_0_56,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X3,or(X2,X4))))),
inference(scs_inference,[],[i_0_50,i_0_27]) ).
cnf(i_0_58,plain,
~ theorem(or(not(or(p,q)),or(p,p))),
inference(scs_inference,[],[i_0_40,i_0_48,i_0_23]) ).
cnf(i_0_59,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_86,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_92,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_50]) ).
cnf(i_0_103,plain,
~ theorem(or(p,or(not(or(p,q)),not(or(p,q))))),
inference(scs_inference,[],[i_0_61,i_0_48,i_0_23]) ).
cnf(i_0_104,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_115,plain,
~ theorem(or(or(not(or(p,q)),p),p)),
inference(scs_inference,[],[i_0_67,i_0_38,i_0_23]) ).
cnf(i_0_128,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_131,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_50]) ).
cnf(i_0_137,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_149,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_152,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_50]) ).
cnf(i_0_164,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_48]) ).
cnf(c_0_634,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
i_0_23 ).
cnf(c_0_635,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
i_0_48 ).
cnf(c_0_636,axiom,
( theorem(X1)
| ~ axiom(X1) ),
i_0_24 ).
cnf(c_0_637,plain,
axiom(or(not(X1),or(X2,X1))),
i_0_22 ).
cnf(c_0_638,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
i_0_50 ).
cnf(c_0_639,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,X2))) ),
inference(spm,[status(thm)],[c_0_634,c_0_635]) ).
cnf(c_0_640,plain,
theorem(or(not(X1),or(X2,X1))),
inference(spm,[status(thm)],[c_0_636,c_0_637]) ).
cnf(c_0_641,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_634,c_0_638]) ).
cnf(c_0_642,plain,
theorem(or(not(X1),X1)),
inference(spm,[status(thm)],[c_0_639,c_0_640]) ).
cnf(c_0_643,plain,
theorem(or(X1,or(not(or(X1,X2)),X2))),
inference(spm,[status(thm)],[c_0_641,c_0_642]) ).
cnf(c_0_644,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),
i_0_89 ).
cnf(c_0_645,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(not(or(p,q)),or(not(or(p,not(q))),p)))),
i_0_623 ).
cnf(c_0_646,plain,
( theorem(or(not(or(not(X1),X2)),X2))
| ~ theorem(X1) ),
inference(spm,[status(thm)],[c_0_634,c_0_643]) ).
cnf(c_0_647,plain,
( theorem(or(X1,or(X2,or(X3,X4))))
| ~ theorem(or(X1,or(X2,X4))) ),
inference(spm,[status(thm)],[c_0_634,c_0_644]) ).
cnf(c_0_648,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
i_0_413 ).
cnf(c_0_649,plain,
~ theorem(or(or(not(or(p,q)),or(not(or(p,not(q))),p)),or(not(or(p,q)),or(not(or(p,not(q))),p)))),
inference(spm,[status(thm)],[c_0_645,c_0_646]) ).
cnf(c_0_650,plain,
( theorem(or(X1,or(X2,or(X3,X4))))
| ~ theorem(or(X2,or(X1,X4))) ),
inference(spm,[status(thm)],[c_0_641,c_0_647]) ).
cnf(c_0_651,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_634,c_0_648]) ).
cnf(c_0_652,plain,
axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
i_0_18 ).
cnf(c_0_653,plain,
axiom(or(not(or(X1,X2)),or(X2,X1))),
i_0_20 ).
cnf(c_0_654,plain,
~ theorem(or(not(or(p,q)),or(or(not(or(p,q)),or(not(or(p,not(q))),p)),p))),
inference(spm,[status(thm)],[c_0_649,c_0_650]) ).
cnf(c_0_655,plain,
( theorem(or(X1,or(or(X2,X3),X4)))
| ~ theorem(or(X1,or(X4,X3))) ),
inference(spm,[status(thm)],[c_0_651,c_0_647]) ).
cnf(c_0_656,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(spm,[status(thm)],[c_0_636,c_0_652]) ).
cnf(c_0_657,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(spm,[status(thm)],[c_0_636,c_0_653]) ).
cnf(c_0_658,plain,
~ theorem(or(not(or(p,q)),or(p,or(not(or(p,not(q))),p)))),
inference(spm,[status(thm)],[c_0_654,c_0_655]) ).
cnf(c_0_659,plain,
( theorem(or(not(or(X1,X2)),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_634,c_0_656]) ).
cnf(c_0_660,plain,
theorem(or(X1,or(not(or(X2,X1)),X2))),
inference(spm,[status(thm)],[c_0_641,c_0_657]) ).
cnf(c_0_661,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_658,c_0_659]),c_0_660])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL216-3 : TPTP v9.2.1. Released v2.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n028.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 22:11:45 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 113.65/78.16 % Version : CSE_E---1.7
% 113.65/78.16 % Problem : theBenchmark.p
% 113.65/78.16 % SZS status Unsatisfiable for theBenchmark.p
% 113.65/78.16 % SZS output start CNFRefutation
% See solution above
% 114.24/78.78 % Total time : 77.740s
%------------------------------------------------------------------------------