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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWW445-1 : 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 : n023.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 05:32:24 PM UTC 2026

% Result   : Unsatisfiable 113.90s 81.62s
% Output   : CNFRefutation 115.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   36
% Syntax   : Number of clauses     :  175 ( 156 unt;   6 nHn;  79 RR)
%            Number of literals    :  202 ( 171 equ;  80 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   16 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;  22 con; 0-2 aty)
%            Number of variables   :  325 (  56 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(premise_19,hypothesis,
    heap(sep(lseg(x5,x17),sep(lseg(x19,x1),sep(lseg(x4,x12),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x2,x18),sep(lseg(x17,x14),sep(lseg(x7,x16),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_19) ).

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(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(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_17,hypothesis,
    x10 != x20,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_17) ).

cnf(premise_16,hypothesis,
    x10 != x19,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_16) ).

cnf(premise_14,hypothesis,
    x13 != x18,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_14) ).

cnf(premise_12,hypothesis,
    x1 != x16,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_12) ).

cnf(premise_18,hypothesis,
    x16 != x19,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_18) ).

cnf(premise_13,hypothesis,
    x1 != x20,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_13) ).

cnf(premise_10,hypothesis,
    x4 != x13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_10) ).

cnf(premise_15,hypothesis,
    x13 != x17,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_15) ).

cnf(premise_9,hypothesis,
    x4 != x11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_9) ).

cnf(premise_11,hypothesis,
    x4 != x19,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_11) ).

cnf(premise_8,hypothesis,
    x8 != x17,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_8) ).

cnf(premise_7,hypothesis,
    x8 != x19,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_7) ).

cnf(premise_6,hypothesis,
    x2 != x20,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_6) ).

cnf(premise_5,hypothesis,
    x9 != x19,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_5) ).

cnf(premise_4,hypothesis,
    x7 != x20,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_4) ).

cnf(premise_3,hypothesis,
    x3 != x20,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_3) ).

cnf(premise_2,hypothesis,
    x3 != x7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).

cnf(premise_1,hypothesis,
    x6 != x19,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_1) ).

cnf(i_0_30,hypothesis,
    heap(sep(lseg(x5,x17),sep(lseg(x19,x1),sep(lseg(x4,x12),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x2,x18),sep(lseg(x17,x14),sep(lseg(x7,x16),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))),
    premise_19,
    [final] ).

cnf(i_0_31,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_32,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_33,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_34,axiom,
    ( heap(sep(lseg(X1,nil),X3))
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3))) ),
    unfolding_3,
    [final] ).

cnf(i_0_35,axiom,
    ( X1 = X2
    | X1 = X3
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
    wellformedness_5,
    [final] ).

cnf(i_0_36,axiom,
    ( X1 = X3
    | ~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))) ),
    wellformedness_4,
    [final] ).

cnf(i_0_37,axiom,
    ~ heap(sep(next(X1,X2),sep(next(X1,X3),X4))),
    wellformedness_3,
    [final] ).

cnf(i_0_38,axiom,
    ( X1 = nil
    | ~ heap(sep(lseg(nil,X1),X2)) ),
    wellformedness_2,
    [final] ).

cnf(i_0_39,axiom,
    ~ heap(sep(next(nil,X1),X2)),
    wellformedness_1,
    [final] ).

cnf(i_0_40,axiom,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    associative_commutative,
    [final] ).

cnf(i_0_41,axiom,
    sep(lseg(X1,X1),X2) = X2,
    normalization,
    [final] ).

cnf(i_0_42,hypothesis,
    x10 != x20,
    premise_17,
    [final] ).

cnf(i_0_43,hypothesis,
    x10 != x19,
    premise_16,
    [final] ).

cnf(i_0_44,hypothesis,
    x13 != x18,
    premise_14,
    [final] ).

cnf(i_0_45,hypothesis,
    x1 != x16,
    premise_12,
    [final] ).

cnf(i_0_46,hypothesis,
    x16 != x19,
    premise_18,
    [final] ).

cnf(i_0_47,hypothesis,
    x1 != x20,
    premise_13,
    [final] ).

cnf(i_0_48,hypothesis,
    x4 != x13,
    premise_10,
    [final] ).

cnf(i_0_49,hypothesis,
    x13 != x17,
    premise_15,
    [final] ).

cnf(i_0_50,hypothesis,
    x4 != x11,
    premise_9,
    [final] ).

cnf(i_0_51,hypothesis,
    x4 != x19,
    premise_11,
    [final] ).

cnf(i_0_52,hypothesis,
    x8 != x17,
    premise_8,
    [final] ).

cnf(i_0_53,hypothesis,
    x8 != x19,
    premise_7,
    [final] ).

cnf(i_0_54,hypothesis,
    x2 != x20,
    premise_6,
    [final] ).

cnf(i_0_55,hypothesis,
    x9 != x19,
    premise_5,
    [final] ).

cnf(i_0_56,hypothesis,
    x7 != x20,
    premise_4,
    [final] ).

cnf(i_0_57,hypothesis,
    x3 != x20,
    premise_3,
    [final] ).

cnf(i_0_58,hypothesis,
    x3 != x7,
    premise_2,
    [final] ).

cnf(i_0_59,hypothesis,
    x6 != x19,
    premise_1,
    [final] ).

cnf(i_0_60,axiom,
    X1 = X1 ).

cnf(i_0_61,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_62,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_63,axiom,
    ( X1 != X2
    | sep(X1,X3) = sep(X2,X3) ) ).

cnf(i_0_64,axiom,
    ( X1 != X2
    | sep(X3,X1) = sep(X3,X2) ) ).

cnf(i_0_65,axiom,
    ( X1 != X2
    | ~ heap(X1)
    | heap(X2) ) ).

cnf(i_0_66,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(scs_inference,[],[i_0_41,i_0_61]) ).

cnf(i_0_67,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_42,i_0_41,i_0_61,i_0_62]) ).

cnf(i_0_68,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_70,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_72,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_74,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_76,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_78,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_80,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_82,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_43,i_0_41,i_0_62]) ).

cnf(i_0_83,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_84,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_44,i_0_41,i_0_62]) ).

cnf(i_0_85,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_86,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_45,i_0_41,i_0_62]) ).

cnf(i_0_87,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_88,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_46,i_0_41,i_0_62]) ).

cnf(i_0_89,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_90,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_47,i_0_41,i_0_62]) ).

cnf(i_0_91,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_92,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_48,i_0_41,i_0_62]) ).

cnf(i_0_93,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_94,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_49,i_0_41,i_0_62]) ).

cnf(i_0_95,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_96,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_50,i_0_41,i_0_62]) ).

cnf(i_0_97,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_98,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_51,i_0_41,i_0_62]) ).

cnf(i_0_99,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_100,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_52,i_0_41,i_0_62]) ).

cnf(i_0_101,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_102,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_53,i_0_41,i_0_62]) ).

cnf(i_0_103,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_104,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_54,i_0_41,i_0_62]) ).

cnf(i_0_105,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_106,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_55,i_0_41,i_0_62]) ).

cnf(i_0_107,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_108,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_56,i_0_41,i_0_62]) ).

cnf(i_0_109,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_110,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_57,i_0_41,i_0_62]) ).

cnf(i_0_111,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_112,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_58,i_0_41,i_0_62]) ).

cnf(i_0_113,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_114,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_59,i_0_41,i_0_62]) ).

cnf(i_0_115,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_117,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_119,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_121,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_123,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_125,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_127,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_129,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_131,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_133,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_135,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_137,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_139,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_141,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_143,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_145,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_147,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_149,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_151,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_153,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_155,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_157,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_159,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_161,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_163,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_165,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_167,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_169,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_171,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_173,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_175,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_177,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_179,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_181,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_183,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_185,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_187,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_189,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_191,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_193,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_195,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_197,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_199,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_201,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_203,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_205,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_207,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_209,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_211,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_213,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_215,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_217,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_219,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_221,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_223,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_225,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_227,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_229,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_231,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_233,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_235,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_237,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_239,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_241,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_41]) ).

cnf(c_0_70,plain,
    X1 != sep(lseg(X2,X2),X3),
    i_0_67 ).

cnf(c_0_71,plain,
    X1 = sep(lseg(X2,X2),X1),
    i_0_66 ).

cnf(c_0_72,plain,
    $false,
    inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWW445-1 : 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
% 0.15/0.33  % Computer : n023.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   : Tue May  5 06:50:08 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 113.90/81.62  % Version  : CSE_E---1.7
% 113.90/81.62  % Problem  : theBenchmark.p
% 113.90/81.62  % SZS status Unsatisfiable for theBenchmark.p
% 113.90/81.62  % SZS output start CNFRefutation
% See solution above
% 115.00/82.75  % Total time : 81.268s
%------------------------------------------------------------------------------