%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL245-3 : 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 : n009.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 04:39:52 PM UTC 2026
% Result : Unsatisfiable 133.67s 94.97s
% Output : CNFRefutation 134.47s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_11)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(and(implies(q,r),implies(p,q)),implies(p,r))),
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(and_defn,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-1.ax',and_defn) ).
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_10,negated_conjecture,
~ theorem(implies(and(implies(q,r),implies(p,q)),implies(p,r))),
prove_this ).
cnf(i_0_11,axiom,
implies(X1,X2) = or(not(X1),X2),
implies_definition ).
cnf(i_0_12,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
and_defn ).
cnf(i_0_13,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
axiom_1_6 ).
cnf(i_0_14,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
axiom_1_5 ).
cnf(i_0_15,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
axiom_1_4 ).
cnf(i_0_16,axiom,
axiom(implies(or(X1,X1),X1)),
axiom_1_2 ).
cnf(i_0_17,axiom,
axiom(implies(X1,or(X2,X1))),
axiom_1_3 ).
cnf(i_0_18,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
rule_2 ).
cnf(i_0_19,negated_conjecture,
~ theorem(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_10,c_0_11]),c_0_11]),c_0_11]),c_0_11]),c_0_12]),
[final] ).
cnf(i_0_20,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_13,c_0_11]),c_0_11]),c_0_11]),
[final] ).
cnf(i_0_21,plain,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rw,[status(thm)],[i_0_14,c_0_11]),
[final] ).
cnf(i_0_22,plain,
axiom(or(not(or(X1,X2)),or(X2,X1))),
inference(rw,[status(thm)],[i_0_15,c_0_11]),
[final] ).
cnf(i_0_23,plain,
axiom(or(not(or(X1,X1)),X1)),
inference(rw,[status(thm)],[i_0_16,c_0_11]),
[final] ).
cnf(i_0_24,plain,
axiom(or(not(X1),or(X2,X1))),
inference(rw,[status(thm)],[i_0_17,c_0_11]),
[final] ).
cnf(i_0_25,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
inference(rw,[status(thm)],[i_0_18,c_0_11]),
[final] ).
cnf(i_0_26,axiom,
( theorem(X1)
| ~ axiom(X1) ),
rule_1,
[final] ).
cnf(i_0_27,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(scs_inference,[],[i_0_20,i_0_26]) ).
cnf(i_0_1062,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1066,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1070,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1074,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1078,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1082,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1086,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1090,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1094,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1098,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1102,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1106,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1110,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1114,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1116,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1118,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1120,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1124,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1126,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1128,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1130,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1134,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1136,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1156,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_1210,plain,
~ axiom(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
inference(scs_inference,[],[i_0_19,i_0_26]) ).
cnf(i_0_31,plain,
theorem(or(not(or(X1,or(not(X2),X3))),or(X1,or(not(or(X4,X2)),or(X4,X3))))),
inference(scs_inference,[],[i_0_27,i_0_29]) ).
cnf(i_0_33,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(scs_inference,[],[i_0_27,i_0_22,i_0_29,i_0_26]) ).
cnf(i_0_35,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(scs_inference,[],[i_0_27,i_0_22,i_0_29,i_0_26,i_0_25]) ).
cnf(i_0_36,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_264,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_270,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_38,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X4,X3))))),
inference(scs_inference,[],[i_0_35,i_0_29]) ).
cnf(i_0_40,plain,
theorem(or(not(X1),or(X2,X1))),
inference(scs_inference,[],[i_0_35,i_0_24,i_0_29,i_0_26]) ).
cnf(i_0_42,plain,
theorem(or(not(or(not(X1),or(X2,X3))),or(not(or(X4,X1)),or(X4,or(X3,X2))))),
inference(scs_inference,[],[i_0_35,i_0_31,i_0_24,i_0_29,i_0_26,i_0_25]) ).
cnf(i_0_43,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_31]) ).
cnf(i_0_44,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_58,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_31]) ).
cnf(i_0_65,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_31,i_0_29]) ).
cnf(i_0_280,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_31]) ).
cnf(i_0_343,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_349,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_357,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_361,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_402,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_408,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_416,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_422,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_428,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_438,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_31]) ).
cnf(i_0_439,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_455,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_466,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_472,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_483,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_489,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_495,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_506,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_512,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_518,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_534,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_540,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_551,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_568,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_574,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_580,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_586,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_592,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_598,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_604,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_610,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_616,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_627,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_633,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_639,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_643,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_649,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_659,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_665,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_693,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_739,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_748,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_797,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_803,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_809,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_815,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_819,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_828,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_836,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_35]) ).
cnf(c_0_50,axiom,
( theorem(X1)
| ~ axiom(X1) ),
i_0_26 ).
cnf(c_0_51,plain,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
i_0_21 ).
cnf(c_0_52,plain,
axiom(or(not(or(X1,X1)),X1)),
i_0_23 ).
cnf(c_0_53,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
i_0_25 ).
cnf(c_0_54,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_55,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(spm,[status(thm)],[c_0_50,c_0_52]) ).
cnf(c_0_56,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_57,plain,
theorem(or(not(X1),or(X2,X1))),
i_0_40 ).
cnf(c_0_58,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
i_0_27 ).
cnf(c_0_59,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
i_0_33 ).
cnf(c_0_60,plain,
( theorem(X1)
| ~ theorem(or(X1,X1)) ),
inference(spm,[status(thm)],[c_0_53,c_0_55]) ).
cnf(c_0_61,plain,
theorem(or(X1,or(not(X2),X2))),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,plain,
( theorem(or(not(or(X1,X2)),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_53,c_0_58]) ).
cnf(c_0_63,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_53,c_0_59]) ).
cnf(c_0_64,plain,
theorem(or(not(X1),X1)),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_65,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(X3),X2))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_53,c_0_62]) ).
cnf(c_0_66,plain,
theorem(or(X1,not(X1))),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_67,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
i_0_35 ).
cnf(c_0_68,plain,
( theorem(or(X1,not(not(X2))))
| ~ theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_53,c_0_67]) ).
cnf(c_0_70,negated_conjecture,
~ theorem(or(not(not(or(not(or(not(q),r)),not(or(not(p),q))))),or(not(p),r))),
i_0_19 ).
cnf(c_0_71,plain,
( theorem(or(not(not(X1)),X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_63,c_0_68]) ).
cnf(c_0_72,plain,
theorem(or(not(or(not(X1),X2)),or(or(X3,X2),not(or(X3,X1))))),
inference(spm,[status(thm)],[c_0_69,c_0_58]) ).
cnf(c_0_73,negated_conjecture,
~ theorem(or(or(not(p),r),or(not(or(not(q),r)),not(or(not(p),q))))),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_74,plain,
theorem(or(or(X1,X2),or(not(or(not(X3),X2)),not(or(X1,X3))))),
inference(spm,[status(thm)],[c_0_56,c_0_72]) ).
cnf(c_0_75,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL245-3 : 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
% 0.15/0.33 % Computer : n009.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 : Mon May 4 22:15:56 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 133.67/94.97 % Version : CSE_E---1.7
% 133.67/94.97 % Problem : theBenchmark.p
% 133.67/94.97 % SZS status Unsatisfiable for theBenchmark.p
% 133.67/94.97 % SZS output start CNFRefutation
% See solution above
% 134.47/95.72 % Total time : 94.484s
%------------------------------------------------------------------------------