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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : LCL260-3 : 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 : n006.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 04:39:55 PM UTC 2026

% Result   : Unsatisfiable 130.60s 81.15s
% Output   : CNFRefutation 131.18s
% 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(not(p),q),q))),
    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(not(p),q),q))),
    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(not(p),q)),q))),
    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_1094,plain,
    ~ axiom(q),
    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(not(p),q)),or(q,q)))),
    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(q,q))),
    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_80,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,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_97,plain,
    ~ theorem(or(q,or(not(or(p,q)),not(or(p,q))))),
    inference(scs_inference,[],[i_0_61,i_0_48,i_0_23]) ).

cnf(i_0_98,plain,
    theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
    inference(rename_variables,[],[i_0_48]) ).

cnf(i_0_106,plain,
    ~ theorem(or(or(not(or(p,q)),q),q)),
    inference(scs_inference,[],[i_0_67,i_0_38,i_0_23]) ).

cnf(i_0_113,plain,
    theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
    inference(rename_variables,[],[i_0_48]) ).

cnf(i_0_116,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_125,plain,
    theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
    inference(rename_variables,[],[i_0_48]) ).

cnf(i_0_128,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_140,plain,
    theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
    inference(rename_variables,[],[i_0_48]) ).

cnf(i_0_143,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_152,plain,
    theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
    inference(rename_variables,[],[i_0_48]) ).

cnf(i_0_155,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_167,plain,
    theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
    inference(rename_variables,[],[i_0_48]) ).

cnf(i_0_179,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_188,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_190,plain,
    ~ theorem(or(or(q,not(or(p,q))),not(or(p,q)))),
    inference(scs_inference,[],[i_0_103,i_0_38,i_0_23]) ).

cnf(i_0_194,plain,
    theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
    inference(rename_variables,[],[i_0_48]) ).

cnf(i_0_200,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_218,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_227,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_236,plain,
    theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
    inference(rename_variables,[],[i_0_48]) ).

cnf(i_0_242,plain,
    theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
    inference(rename_variables,[],[i_0_48]) ).

cnf(i_0_254,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_263,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_272,plain,
    theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
    inference(rename_variables,[],[i_0_48]) ).

cnf(i_0_275,plain,
    theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
    inference(rename_variables,[],[i_0_48]) ).

cnf(i_0_281,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_287,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_296,plain,
    theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
    inference(rename_variables,[],[i_0_48]) ).

cnf(i_0_305,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_317,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_323,plain,
    theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
    inference(rename_variables,[],[i_0_48]) ).

cnf(i_0_329,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_338,plain,
    theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
    inference(rename_variables,[],[i_0_48]) ).

cnf(i_0_344,plain,
    theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
    inference(rename_variables,[],[i_0_48]) ).

cnf(i_0_347,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_374,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_383,plain,
    theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
    inference(rename_variables,[],[i_0_48]) ).

cnf(i_0_401,plain,
    theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
    inference(rename_variables,[],[i_0_48]) ).

cnf(i_0_404,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_422,plain,
    theorem(or(not(or(X1,or(X2,or(X3,or(X4,X5))))),or(X1,or(X2,or(X3,or(X6,or(X5,X4))))))),
    inference(scs_inference,[],[i_0_417,i_0_27]) ).

cnf(i_0_425,plain,
    theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X5,or(X4,X3)))))),
    inference(rename_variables,[],[i_0_417]) ).

cnf(i_0_432,plain,
    theorem(or(not(or(X1,or(X2,or(X3,or(X4,X5))))),or(X1,or(X2,or(X3,or(X4,or(X6,X5))))))),
    inference(scs_inference,[],[i_0_427,i_0_27]) ).

cnf(i_0_435,plain,
    theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
    inference(rename_variables,[],[i_0_48]) ).

cnf(i_0_510,plain,
    ~ theorem(or(not(or(not(or(X1,or(X2,X2))),or(X1,X2))),or(not(or(p,q)),or(not(or(not(p),q)),q)))),
    inference(scs_inference,[],[i_0_17,i_0_48,i_0_23]) ).

cnf(i_0_781,plain,
    ~ theorem(or(not(or(X1,or(p,or(X2,q)))),or(not(or(not(p),q)),q))),
    inference(scs_inference,[],[i_0_726,i_0_27]) ).

cnf(i_0_782,plain,
    ~ theorem(or(not(or(not(X1),or(X2,X1))),or(not(or(p,or(X3,q))),or(not(or(not(p),q)),q)))),
    inference(rename_variables,[],[i_0_726]) ).

cnf(i_0_814,plain,
    ~ theorem(or(not(or(not(or(X1,or(X2,X3))),or(X1,or(X2,or(X4,X3))))),not(or(p,q)))),
    inference(scs_inference,[],[i_0_42,i_0_100,i_0_23]) ).

cnf(i_0_1096,plain,
    ~ theorem(or(not(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X5,or(X4,X3)))))),q)),
    inference(scs_inference,[],[i_0_64,i_0_417,i_0_23]) ).

cnf(i_0_1098,plain,
    ~ axiom(or(or(not(or(p,q)),q),or(not(or(p,q)),q))),
    inference(scs_inference,[],[i_0_67,i_0_24]) ).

cnf(i_0_1102,plain,
    ~ axiom(or(or(not(or(p,q)),q),or(not(or(p,q)),q))),
    inference(scs_inference,[],[i_0_67,i_0_24]) ).

cnf(i_0_1106,plain,
    ~ axiom(or(or(not(or(p,q)),q),or(not(or(p,q)),q))),
    inference(scs_inference,[],[i_0_67,i_0_24]) ).

cnf(i_0_70,plain,
    ~ theorem(or(or(not(or(not(p),q)),or(q,q)),not(or(p,q)))),
    inference(scs_inference,[],[i_0_54,i_0_29,i_0_23]) ).

cnf(i_0_73,plain,
    ~ theorem(or(not(or(not(p),q)),or(q,q))),
    inference(scs_inference,[],[i_0_54,i_0_36,i_0_23]) ).

cnf(i_0_76,plain,
    ~ theorem(or(not(or(p,q)),or(q,or(q,q)))),
    inference(scs_inference,[],[i_0_58,i_0_52,i_0_23]) ).

cnf(i_0_77,plain,
    theorem(or(not(or(X1,or(X2,or(X3,X3)))),or(X1,or(X2,X3)))),
    inference(rename_variables,[],[i_0_52]) ).

cnf(i_0_79,plain,
    ~ theorem(or(not(or(p,q)),or(or(q,q),or(q,q)))),
    inference(scs_inference,[],[i_0_58,i_0_48,i_0_23]) ).

cnf(i_0_85,plain,
    ~ theorem(or(q,or(not(or(p,q)),q))),
    inference(scs_inference,[],[i_0_58,i_0_50,i_0_23]) ).

cnf(i_0_88,plain,
    ~ theorem(or(or(q,q),not(or(p,q)))),
    inference(scs_inference,[],[i_0_58,i_0_29,i_0_23]) ).

cnf(i_0_91,plain,
    ~ theorem(or(q,q)),
    inference(scs_inference,[],[i_0_58,i_0_36,i_0_23]) ).

cnf(i_0_94,plain,
    ~ theorem(or(or(not(or(p,q)),or(q,q)),or(not(or(p,q)),or(q,q)))),
    inference(scs_inference,[],[i_0_58,i_0_44,i_0_23]) ).

cnf(i_0_122,plain,
    theorem(or(not(or(X1,or(X2,or(X3,X3)))),or(X1,or(X2,X3)))),
    inference(rename_variables,[],[i_0_52]) ).

cnf(i_0_137,plain,
    theorem(or(not(or(X1,or(X2,or(X3,X3)))),or(X1,or(X2,X3)))),
    inference(rename_variables,[],[i_0_52]) ).

cnf(c_0_520,plain,
    ( theorem(X1)
    | ~ theorem(X2)
    | ~ theorem(or(not(X2),X1)) ),
    i_0_23 ).

cnf(c_0_521,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    i_0_86 ).

cnf(c_0_522,axiom,
    ( theorem(X1)
    | ~ axiom(X1) ),
    i_0_24 ).

cnf(c_0_523,plain,
    axiom(or(not(X1),or(X2,X1))),
    i_0_22 ).

cnf(c_0_524,plain,
    ( theorem(or(X1,or(X2,X3)))
    | ~ theorem(or(X2,or(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_520,c_0_521]) ).

cnf(c_0_525,plain,
    theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X3,or(X2,X4))))),
    i_0_56 ).

cnf(c_0_526,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(spm,[status(thm)],[c_0_522,c_0_523]) ).

cnf(c_0_527,plain,
    theorem(or(not(or(X1,or(X2,X2))),or(X1,X2))),
    i_0_59 ).

cnf(c_0_528,plain,
    theorem(or(X1,or(not(or(X1,or(X2,or(X3,X4)))),or(X3,or(X2,X4))))),
    inference(spm,[status(thm)],[c_0_524,c_0_525]) ).

cnf(c_0_529,plain,
    ( theorem(or(X1,X2))
    | ~ theorem(X2) ),
    inference(spm,[status(thm)],[c_0_520,c_0_526]) ).

cnf(c_0_530,plain,
    axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
    i_0_18 ).

cnf(c_0_531,plain,
    axiom(or(not(or(X1,X2)),or(X2,X1))),
    i_0_20 ).

cnf(c_0_532,plain,
    ( theorem(or(X1,X2))
    | ~ theorem(or(X1,or(X2,X2))) ),
    inference(spm,[status(thm)],[c_0_520,c_0_527]) ).

cnf(c_0_533,plain,
    ~ theorem(or(not(or(not(or(X1,or(X2,X2))),or(X1,X2))),or(not(or(p,q)),or(not(or(not(p),q)),q)))),
    i_0_510 ).

cnf(c_0_534,plain,
    ( theorem(or(not(or(not(X1),or(X2,or(X3,X4)))),or(X3,or(X2,X4))))
    | ~ theorem(X1) ),
    inference(spm,[status(thm)],[c_0_520,c_0_528]) ).

cnf(c_0_535,plain,
    ( theorem(or(X1,or(X2,or(X3,X4))))
    | ~ theorem(or(X1,or(X3,or(X2,X4)))) ),
    inference(spm,[status(thm)],[c_0_520,c_0_525]) ).

cnf(c_0_536,plain,
    ( theorem(or(X1,or(X2,X3)))
    | ~ theorem(or(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_524,c_0_529]) ).

cnf(c_0_537,plain,
    theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
    inference(spm,[status(thm)],[c_0_522,c_0_530]) ).

cnf(c_0_538,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(spm,[status(thm)],[c_0_522,c_0_531]) ).

cnf(c_0_539,plain,
    theorem(or(not(X1),X1)),
    inference(spm,[status(thm)],[c_0_532,c_0_526]) ).

cnf(c_0_540,plain,
    ~ theorem(or(not(or(not(p),q)),or(or(not(or(p,q)),q),or(not(or(p,q)),q)))),
    inference(spm,[status(thm)],[c_0_533,c_0_534]) ).

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_535,c_0_536]) ).

cnf(c_0_542,plain,
    theorem(or(not(or(X1,X2)),or(not(or(not(X2),X3)),or(X1,X3)))),
    inference(spm,[status(thm)],[c_0_524,c_0_537]) ).

cnf(c_0_543,plain,
    ( theorem(or(X1,X2))
    | ~ theorem(or(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_520,c_0_538]) ).

cnf(c_0_544,plain,
    theorem(or(X1,or(not(or(X1,X2)),X2))),
    inference(spm,[status(thm)],[c_0_524,c_0_539]) ).

cnf(c_0_545,plain,
    ~ theorem(or(not(or(not(p),q)),or(or(not(or(p,q)),q),q))),
    inference(spm,[status(thm)],[c_0_540,c_0_541]) ).

cnf(c_0_546,plain,
    ( theorem(or(not(or(not(X1),X2)),or(X3,X2)))
    | ~ theorem(or(X3,X1)) ),
    inference(spm,[status(thm)],[c_0_520,c_0_542]) ).

cnf(c_0_547,plain,
    theorem(or(or(not(or(X1,X2)),X2),X1)),
    inference(spm,[status(thm)],[c_0_543,c_0_544]) ).

cnf(c_0_548,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_546]),c_0_547])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LCL260-3 : 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
% 0.17/0.34  % Computer : n006.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit   : 300
% 0.17/0.34  % WCLimit    : 300
% 0.17/0.34  % DateTime   : Mon May  4 22:19:16 EDT 2026
% 0.17/0.34  % CPUTime    : 
% 0.17/0.35  % start to proof: theBenchmark
% 130.60/81.15  % Version  : CSE_E---1.7
% 130.60/81.15  % Problem  : theBenchmark.p
% 130.60/81.15  % SZS status Unsatisfiable for theBenchmark.p
% 130.60/81.15  % SZS output start CNFRefutation
% See solution above
% 131.18/81.73  % Total time : 80.520s
%------------------------------------------------------------------------------