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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : LCL192-3 : 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 : n015.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 04:39:39 PM UTC 2026

% Result   : Unsatisfiable 111.60s 78.68s
% Output   : CNFRefutation 112.30s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_10)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
    ~ theorem(implies(or(or(p,q),r),or(p,or(q,r)))),
    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(or(or(p,q),r),or(p,or(q,r)))),
    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(or(p,q),r)),or(p,or(q,r)))),
    inference(rw,[status(thm)],[i_0_9,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_729,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_755,plain,
    ~ theorem(or(not(or(not(X1),or(X2,X1))),or(not(or(or(p,q),r)),or(p,or(q,r))))),
    inference(scs_inference,[],[i_0_17,i_0_34,i_0_24,i_0_23]) ).

cnf(i_0_757,plain,
    ~ theorem(or(not(or(X1,or(or(p,q),r))),or(p,or(q,r)))),
    inference(scs_inference,[],[i_0_17,i_0_34,i_0_24,i_0_23,i_0_27]) ).

cnf(i_0_799,plain,
    ~ theorem(or(not(or(not(or(X1,X2)),or(X2,X1))),or(not(or(or(p,q),r)),or(p,or(q,r))))),
    inference(scs_inference,[],[i_0_17,i_0_29,i_0_24,i_0_23]) ).

cnf(i_0_801,plain,
    ~ theorem(or(not(or(r,or(p,q))),or(p,or(q,r)))),
    inference(scs_inference,[],[i_0_17,i_0_29,i_0_24,i_0_23,i_0_27]) ).

cnf(i_0_1041,plain,
    ~ axiom(or(p,or(q,r))),
    inference(scs_inference,[],[i_0_36,i_0_24]) ).

cnf(i_0_1045,plain,
    ~ axiom(or(p,or(q,r))),
    inference(scs_inference,[],[i_0_36,i_0_24]) ).

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_51,plain,
    ~ theorem(or(p,or(r,q))),
    inference(scs_inference,[],[i_0_36,i_0_31,i_0_23]) ).

cnf(i_0_52,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_54,plain,
    ~ theorem(or(p,r)),
    inference(scs_inference,[],[i_0_36,i_0_38,i_0_23]) ).

cnf(i_0_55,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_66,plain,
    ~ theorem(or(or(p,or(q,r)),or(p,or(q,r)))),
    inference(scs_inference,[],[i_0_36,i_0_40,i_0_23]) ).

cnf(i_0_67,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_69,plain,
    ~ theorem(or(or(q,r),not(or(or(p,q),r)))),
    inference(scs_inference,[],[i_0_42,i_0_29,i_0_23]) ).

cnf(i_0_85,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_91,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_106,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_117,plain,
    ~ theorem(or(or(or(q,r),p),or(or(q,r),p))),
    inference(scs_inference,[],[i_0_57,i_0_40,i_0_23]) ).

cnf(i_0_118,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_120,plain,
    ~ theorem(p),
    inference(scs_inference,[],[i_0_57,i_0_34,i_0_23]) ).

cnf(i_0_124,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_133,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_139,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_142,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

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,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_163,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_172,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_184,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_199,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_202,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,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_217,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_223,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_241,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_244,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_247,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_256,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_262,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_277,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_280,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_283,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_295,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_310,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_313,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_316,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_331,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_334,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_340,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_343,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_352,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_376,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_379,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_391,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_400,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_418,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_430,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_433,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_436,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_445,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_448,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_457,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_466,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_469,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_472,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_481,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_490,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_502,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_517,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_520,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_523,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_535,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_541,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_553,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_571,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_577,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_583,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_589,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_592,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_601,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_604,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_613,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_625,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_643,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_649,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_655,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_673,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_679,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_688,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_691,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_699,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_701,plain,
    ~ theorem(or(not(or(or(p,q),r)),or(or(q,r),p))),
    inference(scs_inference,[],[i_0_17,i_0_38,i_0_31,i_0_27,i_0_23]) ).

cnf(i_0_702,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_709,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_748,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_777,plain,
    ~ theorem(or(not(or(not(or(X1,X2)),or(X1,or(X3,X2)))),or(not(or(or(p,q),r)),or(p,or(q,r))))),
    inference(scs_inference,[],[i_0_17,i_0_38,i_0_24,i_0_23]) ).

cnf(i_0_779,plain,
    ~ theorem(or(not(or(or(p,q),or(X1,r))),or(p,or(q,r)))),
    inference(scs_inference,[],[i_0_17,i_0_38,i_0_24,i_0_23,i_0_27]) ).

cnf(i_0_789,plain,
    ~ theorem(or(not(or(not(or(X1,or(X2,X3))),or(X1,or(X3,X2)))),or(not(or(or(p,q),r)),or(p,or(q,r))))),
    inference(scs_inference,[],[i_0_17,i_0_31,i_0_24,i_0_23]) ).

cnf(i_0_811,plain,
    ~ theorem(or(not(or(not(or(X1,X1)),X1)),or(not(or(or(p,q),r)),or(p,or(q,r))))),
    inference(scs_inference,[],[i_0_17,i_0_40,i_0_24,i_0_23]) ).

cnf(c_0_806,plain,
    ( theorem(X1)
    | ~ theorem(X2)
    | ~ theorem(or(not(X2),X1)) ),
    i_0_23 ).

cnf(c_0_807,plain,
    theorem(or(not(or(X1,or(X2,or(X3,X4)))),or(X1,or(X2,or(X4,X3))))),
    i_0_709 ).

cnf(c_0_808,plain,
    ( theorem(or(X1,or(X2,or(X3,X4))))
    | ~ theorem(or(X1,or(X2,or(X4,X3)))) ),
    inference(spm,[status(thm)],[c_0_806,c_0_807]) ).

cnf(c_0_809,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    i_0_46 ).

cnf(c_0_810,plain,
    ~ theorem(or(not(or(r,or(p,q))),or(p,or(q,r)))),
    i_0_801 ).

cnf(c_0_811,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X3,X1)))),
    inference(spm,[status(thm)],[c_0_808,c_0_809]) ).

cnf(c_0_812,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_810,c_0_811])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : LCL192-3 : 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
% 0.13/0.32  % Computer : n015.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Mon May  4 22:08:01 EDT 2026
% 0.13/0.32  % CPUTime    : 
% 0.13/0.33  % start to proof: theBenchmark
% 111.60/78.68  % Version  : CSE_E---1.7
% 111.60/78.68  % Problem  : theBenchmark.p
% 111.60/78.68  % SZS status Unsatisfiable for theBenchmark.p
% 111.60/78.68  % SZS output start CNFRefutation
% See solution above
% 112.30/79.34  % Total time : 78.322s
%------------------------------------------------------------------------------