%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL217-3 : 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 : n001.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 120.82s 78.75s
% Output : CNFRefutation 121.53s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_10)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(implies(p,q),implies(implies(p,not(q)),not(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(implies(p,q),implies(implies(p,not(q)),not(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(p),q)),or(not(or(not(p),not(q))),not(p)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_9,c_0_10]),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_166,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_172,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_233,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_243,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_248,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_296,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_25,i_0_27]) ).
cnf(i_0_563,plain,
~ theorem(or(not(or(not(or(X1,p)),or(X1,q))),or(not(or(not(p),not(q))),not(p)))),
inference(scs_inference,[],[i_0_17,i_0_25,i_0_24,i_0_23,i_0_27]) ).
cnf(i_0_597,plain,
~ theorem(or(not(or(not(X1),or(X2,X1))),or(not(or(not(p),q)),or(not(or(not(p),not(q))),not(p))))),
inference(scs_inference,[],[i_0_17,i_0_34,i_0_24,i_0_23]) ).
cnf(i_0_599,plain,
~ theorem(or(not(or(X1,or(not(p),q))),or(not(or(not(p),not(q))),not(p)))),
inference(scs_inference,[],[i_0_17,i_0_34,i_0_24,i_0_23,i_0_27]) ).
cnf(i_0_605,plain,
~ theorem(or(not(or(q,not(p))),or(not(or(not(p),not(q))),not(p)))),
inference(scs_inference,[],[i_0_17,i_0_29,i_0_23,i_0_27]) ).
cnf(i_0_710,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_749,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_757,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_783,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_796,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_814,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_862,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_867,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_872,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_880,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_1167,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_1284,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_1314,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_1332,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_1355,plain,
theorem(or(not(X1),or(X2,X1))),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_38,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),
inference(scs_inference,[],[i_0_36,i_0_27]) ).
cnf(i_0_40,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(scs_inference,[],[i_0_36,i_0_21,i_0_27,i_0_24]) ).
cnf(i_0_42,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X4,or(X3,X2))))),
inference(scs_inference,[],[i_0_31,i_0_36,i_0_21,i_0_27,i_0_24,i_0_23]) ).
cnf(i_0_151,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_160,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_208,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_218,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_284,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_301,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_296,i_0_27]) ).
cnf(i_0_304,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_296]) ).
cnf(i_0_396,plain,
~ theorem(or(not(or(not(p),or(X1,q))),or(not(or(not(p),not(q))),not(p)))),
inference(scs_inference,[],[i_0_17,i_0_36,i_0_24,i_0_23,i_0_27]) ).
cnf(i_0_695,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_752,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_822,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_828,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_831,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_835,plain,
~ theorem(or(not(or(not(or(X1,p)),or(q,X1))),or(not(or(not(p),not(q))),not(p)))),
inference(scs_inference,[],[i_0_31,i_0_563,i_0_23,i_0_27]) ).
cnf(i_0_841,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_889,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_892,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_899,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_907,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_916,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_1061,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_1070,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_44,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
inference(scs_inference,[],[i_0_40,i_0_27]) ).
cnf(i_0_46,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_50,plain,
theorem(or(not(X1),or(X2,or(X3,X1)))),
inference(scs_inference,[],[i_0_34,i_0_38,i_0_23]) ).
cnf(i_0_51,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_53,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,or(X4,X2))))),
inference(scs_inference,[],[i_0_34,i_0_38,i_0_23,i_0_27]) ).
cnf(i_0_58,plain,
theorem(or(not(X1),or(X2,or(X1,X3)))),
inference(scs_inference,[],[i_0_34,i_0_42,i_0_23]) ).
cnf(i_0_59,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X4,or(X3,X2))))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_61,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,or(X2,X4))))),
inference(scs_inference,[],[i_0_34,i_0_42,i_0_23,i_0_27]) ).
cnf(i_0_112,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_139,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_240,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_38,i_0_27]) ).
cnf(i_0_242,plain,
~ theorem(or(not(or(not(p),not(q))),not(p))),
inference(scs_inference,[],[i_0_38,i_0_17,i_0_34,i_0_27,i_0_23]) ).
cnf(i_0_250,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_42,i_0_27]) ).
cnf(i_0_289,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_284,i_0_27]) ).
cnf(i_0_516,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(not(or(not(p),q)),or(not(or(not(p),not(q))),not(p))))),
inference(scs_inference,[],[i_0_17,i_0_40,i_0_24,i_0_23]) ).
cnf(i_0_642,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_670,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_301]) ).
cnf(i_0_682,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_301]) ).
cnf(i_0_694,plain,
~ theorem(or(not(or(not(p),or(X1,q))),not(p))),
inference(scs_inference,[],[i_0_396,i_0_36,i_0_23]) ).
cnf(i_0_702,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_705,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X4,X3))))),
inference(rename_variables,[],[i_0_284]) ).
cnf(i_0_731,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X4,X3))))),
inference(rename_variables,[],[i_0_284]) ).
cnf(i_0_736,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_760,plain,
theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X4,X3))))),
inference(rename_variables,[],[i_0_284]) ).
cnf(i_0_767,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_777,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X4,or(X3,X2))))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_840,plain,
~ theorem(or(not(or(not(or(X1,p)),or(q,X1))),or(not(p),not(or(not(p),not(q)))))),
inference(scs_inference,[],[i_0_31,i_0_835,i_0_23]) ).
cnf(i_0_919,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_925,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_928,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_934,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_945,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_955,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_966,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X4,or(X3,X2))))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_969,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X4,or(X3,X2))))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_975,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X4,or(X3,X2))))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_992,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X4,or(X3,X2))))),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_1179,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_1231,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_1241,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_1251,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_1260,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_1268,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_1276,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_1293,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_1324,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_48,plain,
theorem(or(not(or(X1,or(X2,or(X3,X3)))),or(X1,or(X2,X3)))),
inference(scs_inference,[],[i_0_44,i_0_27]) ).
cnf(i_0_55,plain,
~ theorem(not(p)),
inference(scs_inference,[],[i_0_50,i_0_17,i_0_23]) ).
cnf(i_0_56,plain,
theorem(or(not(X1),or(X2,or(X3,X1)))),
inference(rename_variables,[],[i_0_50]) ).
cnf(i_0_63,plain,
theorem(or(not(X1),or(X2,or(X3,or(X4,X1))))),
inference(scs_inference,[],[i_0_34,i_0_53,i_0_23]) ).
cnf(i_0_64,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,or(X4,X2))))),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_66,plain,
theorem(or(not(X1),or(X2,or(or(X3,X1),X4)))),
inference(scs_inference,[],[i_0_34,i_0_61,i_0_23]) ).
cnf(i_0_67,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,or(X2,X4))))),
inference(rename_variables,[],[i_0_61]) ).
cnf(c_0_526,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
i_0_23 ).
cnf(c_0_527,plain,
theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
i_0_44 ).
cnf(c_0_528,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
i_0_46 ).
cnf(c_0_529,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,X2))) ),
inference(spm,[status(thm)],[c_0_526,c_0_527]) ).
cnf(c_0_530,plain,
theorem(or(not(X1),or(X2,X1))),
i_0_243 ).
cnf(c_0_531,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_526,c_0_528]) ).
cnf(c_0_532,plain,
theorem(or(not(X1),X1)),
inference(spm,[status(thm)],[c_0_529,c_0_530]) ).
cnf(c_0_533,plain,
theorem(or(X1,or(not(or(X1,X2)),X2))),
inference(spm,[status(thm)],[c_0_531,c_0_532]) ).
cnf(c_0_534,plain,
~ theorem(or(not(or(not(or(X1,X1)),X1)),or(not(or(not(p),q)),or(not(or(not(p),not(q))),not(p))))),
i_0_516 ).
cnf(c_0_535,plain,
( theorem(or(not(or(not(X1),X2)),X2))
| ~ theorem(X1) ),
inference(spm,[status(thm)],[c_0_526,c_0_533]) ).
cnf(c_0_536,plain,
theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),
i_0_38 ).
cnf(c_0_537,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))),
i_0_166 ).
cnf(c_0_538,plain,
theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
i_0_208 ).
cnf(c_0_539,plain,
theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
i_0_233 ).
cnf(c_0_540,plain,
~ theorem(or(or(not(or(not(p),q)),or(not(or(not(p),not(q))),not(p))),or(not(or(not(p),q)),or(not(or(not(p),not(q))),not(p))))),
inference(spm,[status(thm)],[c_0_534,c_0_535]) ).
cnf(c_0_541,plain,
( theorem(or(X1,or(X2,or(X3,X4))))
| ~ theorem(or(X1,or(X2,X4))) ),
inference(spm,[status(thm)],[c_0_526,c_0_536]) ).
cnf(c_0_542,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_526,c_0_537]) ).
cnf(c_0_543,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_526,c_0_538]) ).
cnf(c_0_544,plain,
( theorem(or(not(or(X1,X2)),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_526,c_0_539]) ).
cnf(c_0_545,plain,
~ theorem(or(or(not(or(not(p),q)),or(not(or(not(p),not(q))),not(p))),or(not(or(not(p),q)),not(p)))),
inference(spm,[status(thm)],[c_0_540,c_0_541]) ).
cnf(c_0_546,plain,
( theorem(or(or(X1,X2),X3))
| ~ theorem(or(X3,X2)) ),
inference(spm,[status(thm)],[c_0_542,c_0_543]) ).
cnf(c_0_547,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(X3),X2))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_526,c_0_544]) ).
cnf(c_0_548,plain,
theorem(or(X1,or(not(or(X2,X1)),X2))),
inference(spm,[status(thm)],[c_0_531,c_0_537]) ).
cnf(c_0_549,plain,
~ theorem(or(or(not(or(not(p),q)),not(p)),or(not(or(not(p),not(q))),not(p)))),
inference(spm,[status(thm)],[c_0_545,c_0_546]) ).
cnf(c_0_550,plain,
( theorem(or(X1,or(not(or(X2,not(X3))),X2)))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_547,c_0_548]) ).
cnf(c_0_551,plain,
theorem(or(or(not(or(X1,X2)),X1),X2)),
inference(spm,[status(thm)],[c_0_542,c_0_548]) ).
cnf(c_0_552,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_550]),c_0_551])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL217-3 : 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 : n001.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 22:12:18 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 120.82/78.75 % Version : CSE_E---1.7
% 120.82/78.75 % Problem : theBenchmark.p
% 120.82/78.75 % SZS status Unsatisfiable for theBenchmark.p
% 120.82/78.75 % SZS output start CNFRefutation
% See solution above
% 121.53/79.45 % Total time : 78.205s
%------------------------------------------------------------------------------