%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL196-3 : 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 : n003.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 04:39:41 PM UTC 2026
% Result : Unsatisfiable 186.07s 92.13s
% Output : CNFRefutation 186.98s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_10)
% Comments :
%------------------------------------------------------------------------------
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(implies_definition,axiom,
implies(X1,X2) = or(not(X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(prove_this,negated_conjecture,
~ theorem(implies(or(p,or(p,q)),or(p,q))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
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,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
axiom_1_6 ).
cnf(i_0_10,axiom,
implies(X1,X2) = or(not(X1),X2),
implies_definition ).
cnf(i_0_11,negated_conjecture,
~ theorem(implies(or(p,or(p,q)),or(p,q))),
prove_this ).
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,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_9,c_0_10]),c_0_10]),c_0_10]),
[final] ).
cnf(i_0_18,negated_conjecture,
~ theorem(or(not(or(p,or(p,q))),or(p,q))),
inference(rw,[status(thm)],[i_0_11,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_588,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_591,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_594,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_597,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_39]) ).
cnf(i_0_600,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_39]) ).
cnf(i_0_603,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_606,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_609,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_39]) ).
cnf(i_0_612,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_39]) ).
cnf(i_0_615,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_618,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_621,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rename_variables,[],[i_0_39]) ).
cnf(i_0_624,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_627,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_630,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_646,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(not(or(p,or(p,q))),or(p,q)))),
inference(scs_inference,[],[i_0_18,i_0_37,i_0_24,i_0_23]) ).
cnf(i_0_654,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),or(not(or(p,or(p,q))),or(p,q)))),
inference(scs_inference,[],[i_0_18,i_0_33,i_0_24,i_0_23]) ).
cnf(i_0_662,plain,
~ theorem(or(not(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),or(not(or(p,or(p,q))),or(p,q)))),
inference(scs_inference,[],[i_0_18,i_0_39,i_0_24,i_0_23]) ).
cnf(i_0_670,plain,
~ theorem(or(not(or(not(or(X1,X2)),or(X2,X1))),or(not(or(p,or(p,q))),or(p,q)))),
inference(scs_inference,[],[i_0_18,i_0_29,i_0_24,i_0_23]) ).
cnf(i_0_992,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(not(or(p,q)),q))),
inference(scs_inference,[],[i_0_27,i_0_37,i_0_23]) ).
cnf(i_0_998,plain,
~ theorem(or(not(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),or(not(or(p,q)),q))),
inference(scs_inference,[],[i_0_27,i_0_39,i_0_23]) ).
cnf(i_0_1002,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),or(not(or(p,q)),q))),
inference(scs_inference,[],[i_0_27,i_0_33,i_0_23]) ).
cnf(i_0_1008,plain,
~ theorem(or(not(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),or(not(or(p,q)),q))),
inference(scs_inference,[],[i_0_27,i_0_25,i_0_23]) ).
cnf(i_0_1012,plain,
~ theorem(or(not(or(not(or(X1,X2)),or(X2,X1))),or(not(or(p,q)),q))),
inference(scs_inference,[],[i_0_27,i_0_29,i_0_23]) ).
cnf(i_0_1046,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(or(p,q),not(or(p,or(p,q)))))),
inference(scs_inference,[],[i_0_31,i_0_37,i_0_23]) ).
cnf(i_0_1048,plain,
~ theorem(or(not(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),or(or(p,q),not(or(p,or(p,q)))))),
inference(scs_inference,[],[i_0_31,i_0_39,i_0_23]) ).
cnf(i_0_1054,plain,
~ axiom(or(or(p,q),not(or(p,or(p,q))))),
inference(scs_inference,[],[i_0_31,i_0_25,i_0_23,i_0_24]) ).
cnf(i_0_1058,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),or(or(p,q),not(or(p,or(p,q)))))),
inference(scs_inference,[],[i_0_31,i_0_33,i_0_23]) ).
cnf(i_0_1062,plain,
~ theorem(or(not(or(not(or(X1,X2)),or(X2,X1))),or(or(p,q),not(or(p,or(p,q)))))),
inference(scs_inference,[],[i_0_31,i_0_29,i_0_23]) ).
cnf(i_0_1064,plain,
~ axiom(or(or(p,q),not(or(p,or(p,q))))),
inference(scs_inference,[],[i_0_31,i_0_29,i_0_23,i_0_24]) ).
cnf(i_0_1084,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(p,q))),
inference(scs_inference,[],[i_0_35,i_0_37,i_0_23]) ).
cnf(i_0_1086,plain,
~ theorem(or(not(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),or(p,q))),
inference(scs_inference,[],[i_0_35,i_0_39,i_0_23]) ).
cnf(i_0_1088,plain,
~ axiom(or(p,q)),
inference(scs_inference,[],[i_0_35,i_0_39,i_0_23,i_0_24]) ).
cnf(i_0_1090,plain,
~ theorem(or(not(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),or(p,q))),
inference(scs_inference,[],[i_0_35,i_0_25,i_0_23]) ).
cnf(i_0_1094,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),or(p,q))),
inference(scs_inference,[],[i_0_35,i_0_33,i_0_23]) ).
cnf(i_0_1100,plain,
~ theorem(or(not(or(not(or(X1,X2)),or(X2,X1))),or(p,q))),
inference(scs_inference,[],[i_0_35,i_0_29,i_0_23]) ).
cnf(i_0_1104,plain,
~ axiom(or(p,q)),
inference(scs_inference,[],[i_0_35,i_0_24]) ).
cnf(i_0_56,plain,
~ theorem(not(or(p,q))),
inference(scs_inference,[],[i_0_41,i_0_33,i_0_23]) ).
cnf(i_0_59,plain,
~ theorem(or(q,q)),
inference(scs_inference,[],[i_0_44,i_0_37,i_0_23]) ).
cnf(i_0_62,plain,
~ theorem(or(p,or(or(p,q),q))),
inference(scs_inference,[],[i_0_50,i_0_39,i_0_23]) ).
cnf(i_0_65,plain,
~ theorem(or(or(or(p,q),or(p,q)),or(or(p,q),or(p,q)))),
inference(scs_inference,[],[i_0_50,i_0_37,i_0_23]) ).
cnf(i_0_68,plain,
~ theorem(p),
inference(scs_inference,[],[i_0_53,i_0_33,i_0_23]) ).
cnf(i_0_71,plain,
~ theorem(or(or(q,p),or(q,p))),
inference(scs_inference,[],[i_0_53,i_0_37,i_0_23]) ).
cnf(i_0_812,plain,
~ theorem(or(not(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),not(or(p,or(p,q))))),
inference(scs_inference,[],[i_0_47,i_0_25,i_0_23]) ).
cnf(i_0_940,plain,
~ theorem(or(not(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),q)),
inference(scs_inference,[],[i_0_44,i_0_25,i_0_23]) ).
cnf(i_0_946,plain,
~ axiom(or(not(or(not(X1),or(X2,X1))),or(not(or(p,or(p,q))),or(p,q)))),
inference(scs_inference,[],[i_0_654,i_0_37,i_0_23,i_0_24]) ).
cnf(i_0_1010,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(not(or(not(X2),or(X3,X2))),or(not(or(p,q)),q)))),
inference(scs_inference,[],[i_0_1002,i_0_37,i_0_23]) ).
cnf(i_0_1026,plain,
~ theorem(or(not(or(not(or(X1,X2)),or(X2,X1))),or(not(or(not(or(X3,X3)),X3)),or(not(or(p,q)),q)))),
inference(scs_inference,[],[i_0_29,i_0_992,i_0_23]) ).
cnf(i_0_1092,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(not(or(not(or(X2,X2)),X2)),or(p,q)))),
inference(scs_inference,[],[i_0_1084,i_0_37,i_0_23]) ).
cnf(i_0_1096,plain,
~ theorem(or(not(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),or(not(or(not(X4),or(X5,X4))),or(p,q)))),
inference(scs_inference,[],[i_0_1094,i_0_39,i_0_23]) ).
cnf(i_0_1098,plain,
~ axiom(or(p,q)),
inference(scs_inference,[],[i_0_35,i_0_1094,i_0_39,i_0_23,i_0_24]) ).
cnf(i_0_1106,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(not(or(not(or(X2,or(X3,X4))),or(X3,or(X2,X4)))),or(p,q)))),
inference(scs_inference,[],[i_0_35,i_0_1086,i_0_37,i_0_24,i_0_23]) ).
cnf(i_0_1138,plain,
~ theorem(or(not(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),or(q,not(or(p,q))))),
inference(scs_inference,[],[i_0_41,i_0_25,i_0_23]) ).
cnf(i_0_1142,plain,
~ theorem(or(not(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),or(q,not(or(p,q))))),
inference(scs_inference,[],[i_0_41,i_0_39,i_0_23]) ).
cnf(i_0_1146,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),or(q,not(or(p,q))))),
inference(scs_inference,[],[i_0_41,i_0_33,i_0_23]) ).
cnf(i_0_1150,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(q,not(or(p,q))))),
inference(scs_inference,[],[i_0_41,i_0_37,i_0_23]) ).
cnf(i_0_1154,plain,
~ theorem(or(not(or(not(or(X1,X2)),or(X2,X1))),or(q,not(or(p,q))))),
inference(scs_inference,[],[i_0_41,i_0_29,i_0_23]) ).
cnf(i_0_1160,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),q)),
inference(scs_inference,[],[i_0_44,i_0_33,i_0_23]) ).
cnf(i_0_1164,plain,
~ theorem(or(not(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),q)),
inference(scs_inference,[],[i_0_44,i_0_39,i_0_23]) ).
cnf(i_0_1168,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),q)),
inference(scs_inference,[],[i_0_44,i_0_37,i_0_23]) ).
cnf(i_0_1172,plain,
~ theorem(or(not(or(not(or(X1,X2)),or(X2,X1))),q)),
inference(scs_inference,[],[i_0_44,i_0_29,i_0_23]) ).
cnf(i_0_1176,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),not(or(p,or(p,q))))),
inference(scs_inference,[],[i_0_47,i_0_33,i_0_23]) ).
cnf(i_0_1180,plain,
~ theorem(or(not(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),not(or(p,or(p,q))))),
inference(scs_inference,[],[i_0_47,i_0_39,i_0_23]) ).
cnf(i_0_1184,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),not(or(p,or(p,q))))),
inference(scs_inference,[],[i_0_47,i_0_37,i_0_23]) ).
cnf(i_0_1188,plain,
~ theorem(or(not(or(not(or(X1,X2)),or(X2,X1))),not(or(p,or(p,q))))),
inference(scs_inference,[],[i_0_47,i_0_29,i_0_23]) ).
cnf(i_0_1194,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),or(or(p,q),or(p,q)))),
inference(scs_inference,[],[i_0_50,i_0_33,i_0_23]) ).
cnf(i_0_1196,plain,
~ theorem(or(not(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),or(or(p,q),or(p,q)))),
inference(scs_inference,[],[i_0_50,i_0_39,i_0_23]) ).
cnf(i_0_1198,plain,
~ theorem(or(not(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),or(or(p,q),or(p,q)))),
inference(scs_inference,[],[i_0_50,i_0_25,i_0_23]) ).
cnf(i_0_1202,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(or(p,q),or(p,q)))),
inference(scs_inference,[],[i_0_50,i_0_37,i_0_23]) ).
cnf(i_0_1206,plain,
~ theorem(or(not(or(not(or(X1,X2)),or(X2,X1))),or(or(p,q),or(p,q)))),
inference(scs_inference,[],[i_0_50,i_0_29,i_0_23]) ).
cnf(i_0_1212,plain,
~ theorem(or(not(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),or(q,p))),
inference(scs_inference,[],[i_0_53,i_0_39,i_0_23]) ).
cnf(i_0_1214,plain,
~ theorem(or(not(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),or(q,p))),
inference(scs_inference,[],[i_0_53,i_0_25,i_0_23]) ).
cnf(i_0_1216,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),or(q,p))),
inference(scs_inference,[],[i_0_53,i_0_33,i_0_23]) ).
cnf(i_0_1220,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(q,p))),
inference(scs_inference,[],[i_0_53,i_0_37,i_0_23]) ).
cnf(i_0_1224,plain,
~ theorem(or(not(or(not(or(X1,X2)),or(X2,X1))),or(q,p))),
inference(scs_inference,[],[i_0_53,i_0_29,i_0_23]) ).
cnf(i_0_74,plain,
~ theorem(or(not(or(p,q)),not(or(p,q)))),
inference(scs_inference,[],[i_0_56,i_0_37,i_0_23]) ).
cnf(i_0_77,plain,
~ theorem(or(or(q,q),or(q,q))),
inference(scs_inference,[],[i_0_59,i_0_37,i_0_23]) ).
cnf(i_0_80,plain,
~ theorem(or(or(or(p,q),q),p)),
inference(scs_inference,[],[i_0_62,i_0_29,i_0_23]) ).
cnf(i_0_83,plain,
~ theorem(or(or(p,q),q)),
inference(scs_inference,[],[i_0_62,i_0_33,i_0_23]) ).
cnf(i_0_86,plain,
~ theorem(or(or(p,q),or(or(or(p,q),or(p,q)),or(p,q)))),
inference(scs_inference,[],[i_0_65,i_0_39,i_0_23]) ).
cnf(i_0_89,plain,
~ theorem(or(p,p)),
inference(scs_inference,[],[i_0_68,i_0_37,i_0_23]) ).
cnf(i_0_92,plain,
~ theorem(or(q,or(or(q,p),p))),
inference(scs_inference,[],[i_0_71,i_0_39,i_0_23]) ).
cnf(i_0_95,plain,
~ theorem(or(or(or(q,p),or(q,p)),or(or(q,p),or(q,p)))),
inference(scs_inference,[],[i_0_71,i_0_37,i_0_23]) ).
cnf(i_0_950,plain,
~ theorem(or(not(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),p)),
inference(scs_inference,[],[i_0_68,i_0_25,i_0_23]) ).
cnf(i_0_954,plain,
~ theorem(or(not(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),or(q,q))),
inference(scs_inference,[],[i_0_59,i_0_25,i_0_23]) ).
cnf(i_0_974,plain,
~ theorem(or(not(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),not(or(p,q)))),
inference(scs_inference,[],[i_0_25,i_0_56,i_0_23]) ).
cnf(i_0_1170,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),or(not(or(not(X3),or(X4,X3))),or(q,not(or(p,q)))))),
inference(scs_inference,[],[i_0_1146,i_0_33,i_0_23]) ).
cnf(i_0_1186,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),or(not(or(not(X3),or(X4,X3))),not(or(p,or(p,q)))))),
inference(scs_inference,[],[i_0_1176,i_0_33,i_0_23]) ).
cnf(i_0_1200,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),or(not(or(not(X3),or(X4,X3))),or(or(p,q),or(p,q))))),
inference(scs_inference,[],[i_0_1194,i_0_33,i_0_23]) ).
cnf(i_0_1210,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),or(not(or(not(or(X3,X3)),X3)),or(or(p,q),or(p,q))))),
inference(scs_inference,[],[i_0_1202,i_0_33,i_0_23]) ).
cnf(i_0_1218,plain,
~ theorem(or(not(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),or(not(or(not(X4),or(X5,X4))),or(q,p)))),
inference(scs_inference,[],[i_0_1216,i_0_39,i_0_23]) ).
cnf(i_0_1226,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),or(not(or(not(or(X3,X4)),or(X4,X3))),or(q,p)))),
inference(scs_inference,[],[i_0_1224,i_0_33,i_0_23]) ).
cnf(i_0_1230,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),not(or(p,q)))),
inference(scs_inference,[],[i_0_56,i_0_33,i_0_23]) ).
cnf(i_0_1234,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),not(or(p,q)))),
inference(scs_inference,[],[i_0_56,i_0_37,i_0_23]) ).
cnf(i_0_1236,plain,
~ theorem(or(not(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),not(or(p,q)))),
inference(scs_inference,[],[i_0_56,i_0_39,i_0_23]) ).
cnf(i_0_1238,plain,
~ theorem(or(not(or(not(or(X1,X2)),or(X2,X1))),not(or(p,q)))),
inference(scs_inference,[],[i_0_56,i_0_29,i_0_23]) ).
cnf(i_0_1244,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(q,q))),
inference(scs_inference,[],[i_0_59,i_0_37,i_0_23]) ).
cnf(i_0_1246,plain,
~ theorem(or(not(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),or(q,q))),
inference(scs_inference,[],[i_0_59,i_0_39,i_0_23]) ).
cnf(i_0_1248,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),or(q,q))),
inference(scs_inference,[],[i_0_59,i_0_33,i_0_23]) ).
cnf(i_0_1252,plain,
~ theorem(or(not(or(not(or(X1,X2)),or(X2,X1))),or(q,q))),
inference(scs_inference,[],[i_0_59,i_0_29,i_0_23]) ).
cnf(i_0_1258,plain,
~ theorem(or(not(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),or(p,or(or(p,q),q)))),
inference(scs_inference,[],[i_0_62,i_0_25,i_0_23]) ).
cnf(i_0_1260,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),or(p,or(or(p,q),q)))),
inference(scs_inference,[],[i_0_62,i_0_33,i_0_23]) ).
cnf(i_0_1262,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(p,or(or(p,q),q)))),
inference(scs_inference,[],[i_0_62,i_0_37,i_0_23]) ).
cnf(i_0_1264,plain,
~ theorem(or(not(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),or(p,or(or(p,q),q)))),
inference(scs_inference,[],[i_0_62,i_0_39,i_0_23]) ).
cnf(i_0_1266,plain,
~ theorem(or(not(or(not(or(X1,X2)),or(X2,X1))),or(p,or(or(p,q),q)))),
inference(scs_inference,[],[i_0_62,i_0_29,i_0_23]) ).
cnf(i_0_1272,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(or(or(p,q),or(p,q)),or(or(p,q),or(p,q))))),
inference(scs_inference,[],[i_0_65,i_0_37,i_0_23]) ).
cnf(i_0_1278,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),or(or(or(p,q),or(p,q)),or(or(p,q),or(p,q))))),
inference(scs_inference,[],[i_0_65,i_0_33,i_0_23]) ).
cnf(i_0_1280,plain,
~ theorem(or(not(or(not(or(X1,X2)),or(X2,X1))),or(or(or(p,q),or(p,q)),or(or(p,q),or(p,q))))),
inference(scs_inference,[],[i_0_65,i_0_29,i_0_23]) ).
cnf(i_0_1282,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(not(or(not(or(X2,or(X3,X4))),or(X3,or(X2,X4)))),or(q,p)))),
inference(scs_inference,[],[i_0_1212,i_0_37,i_0_23]) ).
cnf(i_0_1288,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),p)),
inference(scs_inference,[],[i_0_68,i_0_33,i_0_23]) ).
cnf(i_0_1290,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),p)),
inference(scs_inference,[],[i_0_68,i_0_37,i_0_23]) ).
cnf(i_0_1292,plain,
~ theorem(or(not(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),p)),
inference(scs_inference,[],[i_0_68,i_0_39,i_0_23]) ).
cnf(i_0_1296,plain,
~ theorem(or(not(or(not(or(X1,X2)),or(X2,X1))),p)),
inference(scs_inference,[],[i_0_68,i_0_29,i_0_23]) ).
cnf(i_0_1302,plain,
~ theorem(or(not(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),or(or(q,p),or(q,p)))),
inference(scs_inference,[],[i_0_71,i_0_39,i_0_23]) ).
cnf(i_0_1304,plain,
~ theorem(or(not(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),or(or(q,p),or(q,p)))),
inference(scs_inference,[],[i_0_71,i_0_25,i_0_23]) ).
cnf(i_0_1306,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),or(or(q,p),or(q,p)))),
inference(scs_inference,[],[i_0_71,i_0_33,i_0_23]) ).
cnf(i_0_1308,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(or(q,p),or(q,p)))),
inference(scs_inference,[],[i_0_71,i_0_37,i_0_23]) ).
cnf(i_0_1310,plain,
~ theorem(or(not(or(not(or(X1,X2)),or(X2,X1))),or(or(q,p),or(q,p)))),
inference(scs_inference,[],[i_0_71,i_0_29,i_0_23]) ).
cnf(i_0_1430,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(not(or(not(or(X2,X3)),or(X3,X2))),or(q,not(or(p,q)))))),
inference(scs_inference,[],[i_0_1154,i_0_37,i_0_23]) ).
cnf(i_0_98,plain,
~ theorem(or(q,or(or(q,q),q))),
inference(scs_inference,[],[i_0_77,i_0_39,i_0_23]) ).
cnf(i_0_101,plain,
~ theorem(or(or(or(q,q),or(q,q)),or(or(q,q),or(q,q)))),
inference(scs_inference,[],[i_0_77,i_0_37,i_0_23]) ).
cnf(i_0_104,plain,
~ theorem(or(q,or(p,q))),
inference(scs_inference,[],[i_0_83,i_0_29,i_0_23]) ).
cnf(i_0_107,plain,
~ theorem(or(or(or(p,q),q),or(or(p,q),q))),
inference(scs_inference,[],[i_0_83,i_0_37,i_0_23]) ).
cnf(i_0_110,plain,
~ theorem(or(or(or(or(p,q),or(p,q)),or(p,q)),or(p,q))),
inference(scs_inference,[],[i_0_86,i_0_29,i_0_23]) ).
cnf(i_0_113,plain,
~ theorem(or(or(or(p,q),or(p,q)),or(p,q))),
inference(scs_inference,[],[i_0_86,i_0_33,i_0_23]) ).
cnf(i_0_116,plain,
~ theorem(or(or(p,p),or(p,p))),
inference(scs_inference,[],[i_0_89,i_0_37,i_0_23]) ).
cnf(i_0_119,plain,
~ theorem(or(or(or(q,p),p),q)),
inference(scs_inference,[],[i_0_92,i_0_29,i_0_23]) ).
cnf(i_0_122,plain,
~ theorem(or(or(q,p),p)),
inference(scs_inference,[],[i_0_92,i_0_33,i_0_23]) ).
cnf(i_0_125,plain,
~ theorem(or(or(q,p),or(or(or(q,p),or(q,p)),or(q,p)))),
inference(scs_inference,[],[i_0_95,i_0_39,i_0_23]) ).
cnf(i_0_816,plain,
~ theorem(or(not(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),or(or(or(p,q),q),p))),
inference(scs_inference,[],[i_0_80,i_0_25,i_0_23]) ).
cnf(i_0_964,plain,
~ theorem(or(not(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),or(p,p))),
inference(scs_inference,[],[i_0_25,i_0_89,i_0_23]) ).
cnf(i_0_1242,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),or(not(or(not(or(X3,X3)),X3)),not(or(p,q))))),
inference(scs_inference,[],[i_0_1234,i_0_33,i_0_23]) ).
cnf(c_0_655,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
i_0_23 ).
cnf(c_0_656,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
i_0_597 ).
cnf(c_0_657,plain,
theorem(or(not(X1),or(X2,X1))),
i_0_591 ).
cnf(c_0_658,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
i_0_588 ).
cnf(c_0_659,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_655,c_0_656]) ).
cnf(c_0_660,plain,
( theorem(or(X1,X2))
| ~ theorem(X2) ),
inference(spm,[status(thm)],[c_0_655,c_0_657]) ).
cnf(c_0_661,plain,
theorem(or(not(or(X1,X1)),X1)),
i_0_618 ).
cnf(c_0_662,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_655,c_0_658]) ).
cnf(c_0_663,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_659,c_0_660]) ).
cnf(c_0_664,plain,
( theorem(X1)
| ~ theorem(or(X1,X1)) ),
inference(spm,[status(thm)],[c_0_655,c_0_661]) ).
cnf(c_0_665,plain,
( theorem(or(or(X1,X2),X3))
| ~ theorem(or(X3,X2)) ),
inference(spm,[status(thm)],[c_0_662,c_0_663]) ).
cnf(c_0_666,plain,
theorem(or(X1,or(not(X2),X2))),
inference(spm,[status(thm)],[c_0_659,c_0_657]) ).
cnf(c_0_667,axiom,
( theorem(X1)
| ~ axiom(X1) ),
i_0_24 ).
cnf(c_0_668,plain,
axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
i_0_17 ).
cnf(c_0_669,plain,
( theorem(or(X1,X2))
| ~ theorem(or(or(X1,X2),X2)) ),
inference(spm,[status(thm)],[c_0_664,c_0_663]) ).
cnf(c_0_670,plain,
( theorem(or(X1,or(or(X2,X3),X4)))
| ~ theorem(or(or(X1,X4),X3)) ),
inference(spm,[status(thm)],[c_0_659,c_0_665]) ).
cnf(c_0_671,plain,
theorem(or(not(X1),X1)),
inference(spm,[status(thm)],[c_0_664,c_0_666]) ).
cnf(c_0_672,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(spm,[status(thm)],[c_0_667,c_0_668]) ).
cnf(c_0_673,plain,
( theorem(or(X1,or(or(X2,X3),X4)))
| ~ theorem(or(or(or(X1,or(or(X2,X3),X4)),X4),X3)) ),
inference(spm,[status(thm)],[c_0_669,c_0_670]) ).
cnf(c_0_674,plain,
theorem(or(or(X1,X2),not(X2))),
inference(spm,[status(thm)],[c_0_662,c_0_657]) ).
cnf(c_0_675,plain,
theorem(or(X1,or(not(or(X1,X2)),X2))),
inference(spm,[status(thm)],[c_0_659,c_0_671]) ).
cnf(c_0_676,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(X3),X2))
| ~ theorem(X3) ),
inference(spm,[status(thm)],[c_0_655,c_0_663]) ).
cnf(c_0_677,plain,
( theorem(or(not(or(X1,X2)),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_655,c_0_672]) ).
cnf(c_0_678,plain,
theorem(or(X1,or(or(X2,not(X3)),X3))),
inference(spm,[status(thm)],[c_0_673,c_0_674]) ).
cnf(c_0_679,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(not(or(p,or(p,q))),or(p,q)))),
i_0_646 ).
cnf(c_0_680,plain,
( theorem(or(not(or(not(X1),X2)),X2))
| ~ theorem(X1) ),
inference(spm,[status(thm)],[c_0_655,c_0_675]) ).
cnf(c_0_681,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X3,X2)) ),
inference(spm,[status(thm)],[c_0_676,c_0_658]) ).
cnf(c_0_682,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(X3),X2))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_655,c_0_677]) ).
cnf(c_0_683,plain,
theorem(or(or(X1,not(X2)),X2)),
inference(spm,[status(thm)],[c_0_664,c_0_678]) ).
cnf(c_0_684,plain,
~ theorem(or(or(not(or(p,or(p,q))),or(p,q)),or(not(or(p,or(p,q))),or(p,q)))),
inference(spm,[status(thm)],[c_0_679,c_0_680]) ).
cnf(c_0_685,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X3,X1)) ),
inference(spm,[status(thm)],[c_0_659,c_0_681]) ).
cnf(c_0_686,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_682,c_0_658]) ).
cnf(c_0_687,plain,
theorem(or(X1,or(X2,not(X1)))),
inference(spm,[status(thm)],[c_0_662,c_0_683]) ).
cnf(c_0_688,plain,
~ theorem(or(or(p,q),or(not(or(p,or(p,q))),or(p,q)))),
inference(spm,[status(thm)],[c_0_684,c_0_685]) ).
cnf(c_0_689,plain,
( theorem(or(X1,or(not(or(X2,X3)),or(X2,X4))))
| ~ theorem(or(X1,or(not(X3),X4))) ),
inference(spm,[status(thm)],[c_0_682,c_0_672]) ).
cnf(c_0_690,plain,
theorem(or(X1,or(not(X1),X2))),
inference(spm,[status(thm)],[c_0_686,c_0_687]) ).
cnf(c_0_691,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_689]),c_0_690])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL196-3 : TPTP v9.2.1. Released v2.3.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n003.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 22:08:26 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 186.07/92.13 % Version : CSE_E---1.7
% 186.07/92.13 % Problem : theBenchmark.p
% 186.07/92.13 % SZS status Unsatisfiable for theBenchmark.p
% 186.07/92.13 % SZS output start CNFRefutation
% See solution above
% 186.98/93.03 % Total time : 90.593s
%------------------------------------------------------------------------------