%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL195-3 : TPTP v9.2.1. Released v2.3.0.
% 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 : n016.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 04:39:40 PM UTC 2026
% Result : Unsatisfiable 120.76s 81.26s
% Output : CNFRefutation 121.69s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_10)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(implies(q,r),implies(or(q,p),or(r,p)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(implies_definition,axiom,
implies(X1,X2) = or(not(X1),X2),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X1,X1),X1)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
cnf(axiom_1_3,axiom,
axiom(implies(X1,or(X2,X1))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(rule_2,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(rule_1,axiom,
( theorem(X1)
| ~ axiom(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(i_0_9,negated_conjecture,
~ theorem(implies(implies(q,r),implies(or(q,p),or(r,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(not(q),r)),or(not(or(q,p)),or(r,p)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_9,c_0_10]),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_44,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(scs_inference,[],[i_0_40,i_0_19,i_0_27,i_0_24]) ).
cnf(i_0_49,plain,
~ theorem(or(not(or(q,p)),or(p,r))),
inference(scs_inference,[],[i_0_36,i_0_31,i_0_23]) ).
cnf(i_0_50,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_52,plain,
~ theorem(or(not(or(q,p)),p)),
inference(scs_inference,[],[i_0_36,i_0_38,i_0_23]) ).
cnf(i_0_53,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_77,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_100,plain,
~ theorem(not(or(q,p))),
inference(scs_inference,[],[i_0_55,i_0_34,i_0_23]) ).
cnf(i_0_104,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_113,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_119,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_122,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_128,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_155,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_179,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_188,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_200,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_209,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_212,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_218,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_236,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_245,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_251,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_257,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_284,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_302,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_323,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_326,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_332,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_338,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_344,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_359,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_368,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_371,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_380,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_395,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_398,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_404,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_413,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_419,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_425,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_428,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_434,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_452,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_461,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_473,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_494,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_512,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_515,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_524,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_530,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_533,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_539,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_545,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_557,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_559,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),
inference(scs_inference,[],[i_0_38,i_0_27]) ).
cnf(i_0_561,plain,
~ theorem(or(not(or(not(q),r)),or(not(or(q,p)),p))),
inference(scs_inference,[],[i_0_17,i_0_38,i_0_27,i_0_23]) ).
cnf(i_0_567,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X4,X3))))),
inference(scs_inference,[],[i_0_31,i_0_27]) ).
cnf(i_0_631,plain,
~ theorem(or(not(or(not(q),r)),or(r,p))),
inference(scs_inference,[],[i_0_17,i_0_627,i_0_24,i_0_27]) ).
cnf(i_0_632,plain,
~ theorem(or(not(or(X1,or(not(q),r))),or(not(or(q,p)),or(r,p)))),
inference(rename_variables,[],[i_0_627]) ).
cnf(i_0_645,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_587]) ).
cnf(i_0_665,plain,
~ theorem(or(not(or(not(q),r)),or(or(r,p),not(or(q,p))))),
inference(scs_inference,[],[i_0_17,i_0_31,i_0_24,i_0_23]) ).
cnf(i_0_666,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_717,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),or(not(or(not(q),r)),or(not(or(q,p)),or(r,p))))),
inference(rename_variables,[],[i_0_625]) ).
cnf(i_0_728,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_587]) ).
cnf(i_0_745,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_875,plain,
~ theorem(or(not(or(not(q),or(X1,r))),or(not(or(q,p)),or(r,p)))),
inference(scs_inference,[],[i_0_17,i_0_38,i_0_24,i_0_23,i_0_27]) ).
cnf(i_0_926,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(not(or(not(q),r)),or(not(or(q,p)),or(r,p))))),
inference(scs_inference,[],[i_0_17,i_0_40,i_0_23]) ).
cnf(i_0_943,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_1114,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,or(X4,X1))),or(X3,or(X4,X2))))),
inference(scs_inference,[],[i_0_25,i_0_587,i_0_23]) ).
cnf(i_0_1115,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_587]) ).
cnf(i_0_1189,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_1197,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_1202,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_1207,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_1217,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_1258,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_1275,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_1288,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_1298,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1306,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1309,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1314,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1322,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_1329,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_1334,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_1337,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_1346,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_1356,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_1359,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_46,plain,
~ theorem(or(not(or(q,p)),or(or(r,p),or(r,p)))),
inference(scs_inference,[],[i_0_36,i_0_42,i_0_23]) ).
cnf(i_0_47,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_58,plain,
~ theorem(or(r,or(not(or(q,p)),p))),
inference(scs_inference,[],[i_0_36,i_0_44,i_0_23]) ).
cnf(i_0_59,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_68,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_73,plain,
~ theorem(or(not(or(q,p)),or(or(p,r),or(p,r)))),
inference(scs_inference,[],[i_0_49,i_0_42,i_0_23]) ).
cnf(i_0_74,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_76,plain,
~ theorem(or(not(or(q,p)),r)),
inference(scs_inference,[],[i_0_49,i_0_38,i_0_23]) ).
cnf(i_0_79,plain,
~ theorem(or(or(p,r),not(or(q,p)))),
inference(scs_inference,[],[i_0_49,i_0_29,i_0_23]) ).
cnf(i_0_82,plain,
~ theorem(or(p,or(not(or(q,p)),r))),
inference(scs_inference,[],[i_0_49,i_0_44,i_0_23]) ).
cnf(i_0_83,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_85,plain,
~ theorem(or(p,r)),
inference(scs_inference,[],[i_0_49,i_0_34,i_0_23]) ).
cnf(i_0_88,plain,
~ theorem(or(not(or(q,p)),or(p,p))),
inference(scs_inference,[],[i_0_52,i_0_42,i_0_23]) ).
cnf(i_0_89,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_91,plain,
~ theorem(or(p,not(or(q,p)))),
inference(scs_inference,[],[i_0_52,i_0_29,i_0_23]) ).
cnf(i_0_94,plain,
~ theorem(p),
inference(scs_inference,[],[i_0_52,i_0_34,i_0_23]) ).
cnf(i_0_97,plain,
~ theorem(or(or(r,p),or(not(or(q,p)),not(or(q,p))))),
inference(scs_inference,[],[i_0_55,i_0_42,i_0_23]) ).
cnf(i_0_98,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_109,plain,
~ theorem(or(r,or(p,p))),
inference(scs_inference,[],[i_0_61,i_0_42,i_0_23]) ).
cnf(i_0_110,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_125,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_131,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_134,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_143,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_152,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_161,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_164,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_167,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_176,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_178,plain,
~ theorem(or(not(or(q,p)),not(or(q,p)))),
inference(scs_inference,[],[i_0_100,i_0_40,i_0_23]) ).
cnf(i_0_185,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_191,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_203,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_206,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_215,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_221,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_227,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_233,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_239,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_254,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_260,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_263,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_269,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_275,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_281,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_287,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_296,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_308,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_311,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_314,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_317,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_329,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_335,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_341,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_347,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_356,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_362,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_374,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_377,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_386,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_389,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_401,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_407,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_416,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_422,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_431,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_440,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_446,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_455,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(rename_variables,[],[i_0_42]) ).
cnf(c_0_1123,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
i_0_23 ).
cnf(c_0_1124,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
i_0_53 ).
cnf(c_0_1125,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_1123,c_0_1124]) ).
cnf(c_0_1126,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
i_0_44 ).
cnf(c_0_1127,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(X3),X2))
| ~ theorem(X3) ),
inference(spm,[status(thm)],[c_0_1123,c_0_1125]) ).
cnf(c_0_1128,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X4,X3))))),
i_0_567 ).
cnf(c_0_1129,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_1123,c_0_1126]) ).
cnf(c_0_1130,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,or(X4,X1))),or(X3,or(X4,X2))))),
i_0_1114 ).
cnf(c_0_1131,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),or(not(or(not(q),r)),or(not(or(q,p)),or(r,p))))),
i_0_717 ).
cnf(c_0_1132,plain,
( theorem(or(X1,or(X2,or(X3,or(X4,X5)))))
| ~ theorem(or(X2,or(X3,or(X5,X4)))) ),
inference(spm,[status(thm)],[c_0_1127,c_0_1128]) ).
cnf(c_0_1133,plain,
theorem(or(not(or(X1,or(X2,X3))),or(not(or(not(X3),X4)),or(X1,or(X2,X4))))),
inference(spm,[status(thm)],[c_0_1129,c_0_1130]) ).
cnf(c_0_1134,axiom,
( theorem(X1)
| ~ axiom(X1) ),
i_0_24 ).
cnf(c_0_1135,plain,
axiom(or(not(or(X1,X2)),or(X2,X1))),
i_0_20 ).
cnf(c_0_1136,plain,
~ theorem(or(not(or(not(q),r)),or(not(or(q,p)),or(p,r)))),
inference(spm,[status(thm)],[c_0_1131,c_0_1132]) ).
cnf(c_0_1137,plain,
( theorem(or(not(or(not(X1),X2)),or(X3,or(X4,X2))))
| ~ theorem(or(X3,or(X4,X1))) ),
inference(spm,[status(thm)],[c_0_1123,c_0_1133]) ).
cnf(c_0_1138,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(spm,[status(thm)],[c_0_1134,c_0_1135]) ).
cnf(c_0_1139,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1136,c_0_1137]),c_0_1138])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL195-3 : TPTP v9.2.1. Released v2.3.0.
% 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 : n016.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 : Mon May 4 22:09:06 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 120.76/81.26 % Version : CSE_E---1.7
% 120.76/81.26 % Problem : theBenchmark.p
% 120.76/81.26 % SZS status Unsatisfiable for theBenchmark.p
% 120.76/81.26 % SZS output start CNFRefutation
% See solution above
% 121.69/82.15 % Total time : 80.775s
%------------------------------------------------------------------------------