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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWW418-1 : TPTP v9.2.1. Released v5.2.0.
% 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 : n005.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 05:32:19 PM UTC 2026

% Result   : Unsatisfiable 111.24s 79.58s
% Output   : CNFRefutation 112.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   21
% Syntax   : Number of clauses     :  128 ( 109 unt;   6 nHn;  63 RR)
%            Number of literals    :  155 ( 110 equ;  64 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  328 (  89 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(unfolding_5,axiom,
    ( X3 = X4
    | heap(sep(lseg(X1,X3),sep(lseg(X3,X4),X5)))
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(lseg(X3,X4),X5)))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_5) ).

cnf(unfolding_4,axiom,
    ( heap(sep(lseg(X1,X3),sep(next(X3,X4),X5)))
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(next(X3,X4),X5)))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_4) ).

cnf(unfolding_2,axiom,
    ( X1 = X2
    | heap(sep(lseg(X1,X3),X4))
    | ~ heap(sep(next(X1,X2),sep(lseg(X2,X3),X4))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_2) ).

cnf(unfolding_3,axiom,
    ( heap(sep(lseg(X1,nil),X3))
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_3) ).

cnf(wellformedness_5,axiom,
    ( X1 = X2
    | X1 = X3
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',wellformedness_5) ).

cnf(wellformedness_4,axiom,
    ( X1 = X3
    | ~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',wellformedness_4) ).

cnf(wellformedness_3,axiom,
    ~ heap(sep(next(X1,X2),sep(next(X1,X3),X4))),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',wellformedness_3) ).

cnf(premise_3,hypothesis,
    heap(sep(lseg(x2,nil),sep(next(x1,x2),emp))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_3) ).

cnf(wellformedness_2,axiom,
    ( X1 = nil
    | ~ heap(sep(lseg(nil,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',wellformedness_2) ).

cnf(wellformedness_1,axiom,
    ~ heap(sep(next(nil,X1),X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',wellformedness_1) ).

cnf(conclusion_1,negated_conjecture,
    ~ heap(sep(lseg(x2,nil),emp)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_1) ).

cnf(associative_commutative,axiom,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).

cnf(normalization,axiom,
    sep(lseg(X1,X1),X2) = X2,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',normalization) ).

cnf(premise_2,hypothesis,
    x2 != x1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).

cnf(premise_1,hypothesis,
    nil != x1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_1) ).

cnf(i_0_15,axiom,
    ( X3 = X4
    | heap(sep(lseg(X1,X3),sep(lseg(X3,X4),X5)))
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(lseg(X3,X4),X5)))) ),
    unfolding_5,
    [final] ).

cnf(i_0_16,axiom,
    ( heap(sep(lseg(X1,X3),sep(next(X3,X4),X5)))
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(next(X3,X4),X5)))) ),
    unfolding_4,
    [final] ).

cnf(i_0_17,axiom,
    ( X1 = X2
    | heap(sep(lseg(X1,X3),X4))
    | ~ heap(sep(next(X1,X2),sep(lseg(X2,X3),X4))) ),
    unfolding_2,
    [final] ).

cnf(i_0_18,axiom,
    ( heap(sep(lseg(X1,nil),X3))
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3))) ),
    unfolding_3,
    [final] ).

cnf(i_0_19,axiom,
    ( X1 = X2
    | X1 = X3
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
    wellformedness_5,
    [final] ).

cnf(i_0_20,axiom,
    ( X1 = X3
    | ~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))) ),
    wellformedness_4,
    [final] ).

cnf(i_0_21,axiom,
    ~ heap(sep(next(X1,X2),sep(next(X1,X3),X4))),
    wellformedness_3,
    [final] ).

cnf(i_0_22,hypothesis,
    heap(sep(lseg(x2,nil),sep(next(x1,x2),emp))),
    premise_3,
    [final] ).

cnf(i_0_23,axiom,
    ( X1 = nil
    | ~ heap(sep(lseg(nil,X1),X2)) ),
    wellformedness_2,
    [final] ).

cnf(i_0_24,axiom,
    ~ heap(sep(next(nil,X1),X2)),
    wellformedness_1,
    [final] ).

cnf(i_0_25,negated_conjecture,
    ~ heap(sep(lseg(x2,nil),emp)),
    conclusion_1,
    [final] ).

cnf(i_0_26,axiom,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    associative_commutative,
    [final] ).

cnf(i_0_27,axiom,
    sep(lseg(X1,X1),X2) = X2,
    normalization,
    [final] ).

cnf(i_0_28,hypothesis,
    x2 != x1,
    premise_2,
    [final] ).

cnf(i_0_29,hypothesis,
    nil != x1,
    premise_1,
    [final] ).

cnf(i_0_30,axiom,
    X1 = X1 ).

cnf(i_0_31,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_32,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_33,axiom,
    ( X1 != X2
    | sep(X1,X3) = sep(X2,X3) ) ).

cnf(i_0_34,axiom,
    ( X1 != X2
    | sep(X3,X1) = sep(X3,X2) ) ).

cnf(i_0_35,axiom,
    ( X1 != X2
    | ~ heap(X1)
    | heap(X2) ) ).

cnf(i_0_36,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(scs_inference,[],[i_0_27,i_0_31]) ).

cnf(i_0_37,plain,
    sep(lseg(X1,nil),sep(next(X2,X1),emp)) != sep(lseg(X1,nil),emp),
    inference(scs_inference,[],[i_0_25,i_0_27,i_0_22,i_0_31,i_0_35]) ).

cnf(i_0_38,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_25,i_0_28,i_0_27,i_0_22,i_0_31,i_0_35,i_0_32]) ).

cnf(i_0_39,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_40,plain,
    sep(next(X1,X2),emp) != emp,
    inference(scs_inference,[],[i_0_25,i_0_28,i_0_27,i_0_22,i_0_31,i_0_35,i_0_32,i_0_34]) ).

cnf(i_0_42,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_44,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_47,plain,
    sep(lseg(X1,nil),sep(next(X2,X1),emp)) != sep(next(X3,X4),sep(next(X3,X5),X6)),
    inference(scs_inference,[],[i_0_21,i_0_22,i_0_35]) ).

cnf(i_0_48,plain,
    lseg(X1,nil) != next(X2,X3),
    inference(scs_inference,[],[i_0_21,i_0_22,i_0_35,i_0_33]) ).

cnf(i_0_49,plain,
    sep(lseg(X1,nil),sep(next(X2,X1),emp)) != sep(next(nil,X3),X4),
    inference(scs_inference,[],[i_0_24,i_0_22,i_0_35]) ).

cnf(i_0_50,plain,
    lseg(X1,nil) != next(nil,X2),
    inference(scs_inference,[],[i_0_24,i_0_22,i_0_35,i_0_33]) ).

cnf(i_0_51,plain,
    nil != sep(lseg(X1,X1),X2),
    inference(scs_inference,[],[i_0_29,i_0_27,i_0_32]) ).

cnf(i_0_52,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_54,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_56,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_58,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_60,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_62,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_67,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_69,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_71,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_73,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_75,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_77,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_79,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_83,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_85,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_87,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_89,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_91,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_93,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_95,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_98,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_100,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_102,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_104,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_106,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_108,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_109,plain,
    ~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))),
    inference(scs_inference,[],[i_0_28,i_0_20]) ).

cnf(i_0_111,plain,
    ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),emp))),
    inference(scs_inference,[],[i_0_25,i_0_28,i_0_20,i_0_18]) ).

cnf(i_0_119,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_161,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_185,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_257,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_832,plain,
    ~ heap(sep(next(nil,X1),X2)),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_839,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_842,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_864,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_867,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_876,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_41,plain,
    sep(lseg(X1,nil),sep(next(X2,X1),emp)) != sep(lseg(X3,X3),sep(lseg(X1,nil),emp)),
    inference(scs_inference,[],[i_0_37,i_0_27,i_0_32]) ).

cnf(i_0_53,plain,
    X1 != sep(lseg(X2,X2),sep(lseg(X3,X3),X4)),
    inference(scs_inference,[],[i_0_38,i_0_27,i_0_32]) ).

cnf(i_0_59,plain,
    lseg(X1,nil) != sep(lseg(X2,X2),next(X3,X4)),
    inference(scs_inference,[],[i_0_48,i_0_27,i_0_32]) ).

cnf(i_0_61,plain,
    sep(lseg(X1,nil),sep(next(X2,X1),emp)) != sep(X3,sep(next(nil,X4),X5)),
    inference(scs_inference,[],[i_0_49,i_0_26,i_0_32]) ).

cnf(i_0_63,plain,
    sep(lseg(X1,nil),sep(next(X2,X1),emp)) != sep(next(nil,X3),X4),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_64,plain,
    sep(next(X1,X2),emp) != sep(next(nil,X3),X4),
    inference(scs_inference,[],[i_0_49,i_0_26,i_0_32,i_0_34]) ).

cnf(i_0_65,plain,
    next(X1,X2) != next(nil,X3),
    inference(scs_inference,[],[i_0_49,i_0_26,i_0_32,i_0_34,i_0_33]) ).

cnf(i_0_66,plain,
    lseg(X1,nil) != sep(lseg(X2,X2),next(nil,X3)),
    inference(scs_inference,[],[i_0_50,i_0_27,i_0_32]) ).

cnf(i_0_68,plain,
    nil != sep(lseg(X1,X1),sep(lseg(X2,X2),X3)),
    inference(scs_inference,[],[i_0_51,i_0_27,i_0_32]) ).

cnf(i_0_113,plain,
    emp != sep(next(X1,X2),emp),
    inference(scs_inference,[],[i_0_25,i_0_40,i_0_28,i_0_20,i_0_18,i_0_31]) ).

cnf(i_0_114,plain,
    sep(X1,X2) = sep(sep(lseg(X3,X3),X1),X2),
    inference(scs_inference,[],[i_0_25,i_0_36,i_0_40,i_0_28,i_0_20,i_0_18,i_0_31,i_0_33]) ).

cnf(i_0_115,plain,
    sep(X1,X2) = sep(X1,sep(lseg(X3,X3),X2)),
    inference(scs_inference,[],[i_0_25,i_0_36,i_0_40,i_0_28,i_0_20,i_0_18,i_0_31,i_0_33,i_0_34]) ).

cnf(i_0_116,plain,
    ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X2),X3))),
    inference(scs_inference,[],[i_0_25,i_0_36,i_0_40,i_0_28,i_0_20,i_0_18,i_0_31,i_0_33,i_0_34,i_0_19]) ).

cnf(i_0_118,plain,
    ~ heap(sep(lseg(X1,X1),sep(lseg(X2,nil),emp))),
    inference(scs_inference,[],[i_0_25,i_0_36,i_0_40,i_0_28,i_0_27,i_0_20,i_0_18,i_0_31,i_0_33,i_0_34,i_0_19,i_0_35]) ).

cnf(i_0_120,plain,
    sep(lseg(X1,X1),sep(next(X2,X3),emp)) != emp,
    inference(scs_inference,[],[i_0_25,i_0_36,i_0_40,i_0_28,i_0_27,i_0_20,i_0_18,i_0_31,i_0_33,i_0_34,i_0_19,i_0_35,i_0_32]) ).

cnf(i_0_121,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_122,plain,
    ~ heap(sep(next(sep(next(X1,X2),emp),emp),sep(lseg(emp,sep(next(X1,X2),emp)),sep(lseg(X2,nil),emp)))),
    inference(scs_inference,[],[i_0_25,i_0_36,i_0_40,i_0_28,i_0_27,i_0_20,i_0_18,i_0_31,i_0_33,i_0_34,i_0_19,i_0_35,i_0_32,i_0_17]) ).

cnf(i_0_149,plain,
    ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),emp))),
    inference(rename_variables,[],[i_0_111]) ).

cnf(i_0_160,plain,
    ~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))),
    inference(rename_variables,[],[i_0_109]) ).

cnf(i_0_163,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_166,plain,
    ~ heap(sep(next(lseg(X1,nil),X2),sep(lseg(lseg(X1,nil),next(X3,X4)),X5))),
    inference(scs_inference,[],[i_0_48,i_0_20]) ).

cnf(i_0_177,plain,
    ~ heap(sep(next(lseg(X1,nil),X2),sep(lseg(lseg(X1,nil),next(nil,X3)),X4))),
    inference(scs_inference,[],[i_0_50,i_0_20]) ).

cnf(i_0_207,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_245,plain,
    ~ heap(sep(next(sep(next(X1,X2),emp),X3),sep(lseg(sep(next(X1,X2),emp),emp),X4))),
    inference(scs_inference,[],[i_0_40,i_0_20]) ).

cnf(i_0_253,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_260,plain,
    ~ heap(sep(next(X1,X2),sep(lseg(X1,sep(lseg(X3,X3),X4)),X5))),
    inference(scs_inference,[],[i_0_38,i_0_20]) ).

cnf(i_0_321,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_389,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_432,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_485,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_496,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_529,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_537,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_633,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_654,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_707,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_722,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_837,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_43,plain,
    sep(lseg(X1,nil),sep(next(X2,X1),emp)) != sep(lseg(X1,nil),sep(lseg(X3,X3),emp)),
    inference(scs_inference,[],[i_0_41,i_0_26,i_0_32]) ).

cnf(c_0_54,plain,
    nil != sep(lseg(X1,X1),X2),
    i_0_51 ).

cnf(c_0_55,plain,
    X1 = sep(lseg(X2,X2),X1),
    i_0_36 ).

cnf(c_0_56,plain,
    $false,
    inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWW418-1 : TPTP v9.2.1. Released v5.2.0.
% 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 : n005.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   : Tue May  5 06:47:45 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 111.24/79.58  % Version  : CSE_E---1.7
% 111.24/79.58  % Problem  : theBenchmark.p
% 111.24/79.58  % SZS status Unsatisfiable for theBenchmark.p
% 111.24/79.58  % SZS output start CNFRefutation
% See solution above
% 112.14/80.41  % Total time : 79.236s
%------------------------------------------------------------------------------