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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWW432-1 : 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 : n004.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 05:32:21 PM UTC 2026

% Result   : Unsatisfiable 113.16s 80.79s
% Output   : CNFRefutation 114.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   24
% Syntax   : Number of clauses     :  154 ( 135 unt;   6 nHn;  48 RR)
%            Number of literals    :  181 ( 147 equ;  49 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  15 con; 0-2 aty)
%            Number of variables   :  352 (  44 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(premise_7,hypothesis,
    heap(sep(lseg(x5,x9),sep(lseg(x5,x1),sep(lseg(x13,x9),sep(lseg(x8,x3),sep(lseg(x3,x11),sep(lseg(x11,x10),sep(lseg(x6,x3),emp)))))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_7) ).

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_5,hypothesis,
    x5 != x13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_5) ).

cnf(premise_6,hypothesis,
    x5 != x9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_6) ).

cnf(premise_4,hypothesis,
    x2 != x9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_4) ).

cnf(premise_3,hypothesis,
    x7 != x12,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_3) ).

cnf(premise_2,hypothesis,
    x4 != x6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).

cnf(premise_1,hypothesis,
    x1 != x4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_1) ).

cnf(i_0_18,hypothesis,
    heap(sep(lseg(x5,x9),sep(lseg(x5,x1),sep(lseg(x13,x9),sep(lseg(x8,x3),sep(lseg(x3,x11),sep(lseg(x11,x10),sep(lseg(x6,x3),emp)))))))),
    premise_7,
    [final] ).

cnf(i_0_19,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_20,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_21,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_22,axiom,
    ( heap(sep(lseg(X1,nil),X3))
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3))) ),
    unfolding_3,
    [final] ).

cnf(i_0_23,axiom,
    ( X1 = X2
    | X1 = X3
    | ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
    wellformedness_5,
    [final] ).

cnf(i_0_24,axiom,
    ( X1 = X3
    | ~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))) ),
    wellformedness_4,
    [final] ).

cnf(i_0_25,axiom,
    ~ heap(sep(next(X1,X2),sep(next(X1,X3),X4))),
    wellformedness_3,
    [final] ).

cnf(i_0_26,axiom,
    ( X1 = nil
    | ~ heap(sep(lseg(nil,X1),X2)) ),
    wellformedness_2,
    [final] ).

cnf(i_0_27,axiom,
    ~ heap(sep(next(nil,X1),X2)),
    wellformedness_1,
    [final] ).

cnf(i_0_28,axiom,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    associative_commutative,
    [final] ).

cnf(i_0_29,axiom,
    sep(lseg(X1,X1),X2) = X2,
    normalization,
    [final] ).

cnf(i_0_30,hypothesis,
    x5 != x13,
    premise_5,
    [final] ).

cnf(i_0_31,hypothesis,
    x5 != x9,
    premise_6,
    [final] ).

cnf(i_0_32,hypothesis,
    x2 != x9,
    premise_4,
    [final] ).

cnf(i_0_33,hypothesis,
    x7 != x12,
    premise_3,
    [final] ).

cnf(i_0_34,hypothesis,
    x4 != x6,
    premise_2,
    [final] ).

cnf(i_0_35,hypothesis,
    x1 != x4,
    premise_1,
    [final] ).

cnf(i_0_36,axiom,
    X1 = X1 ).

cnf(i_0_37,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_38,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_39,axiom,
    ( X1 != X2
    | sep(X1,X3) = sep(X2,X3) ) ).

cnf(i_0_40,axiom,
    ( X1 != X2
    | sep(X3,X1) = sep(X3,X2) ) ).

cnf(i_0_41,axiom,
    ( X1 != X2
    | ~ heap(X1)
    | heap(X2) ) ).

cnf(i_0_42,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(scs_inference,[],[i_0_29,i_0_37]) ).

cnf(i_0_43,plain,
    X1 = X2,
    inference(scs_inference,[],[i_0_18,i_0_31,i_0_29,i_0_37,i_0_23]) ).

cnf(i_0_45,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_18,i_0_30,i_0_31,i_0_29,i_0_37,i_0_23,i_0_38]) ).

cnf(i_0_46,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_50,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_54,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_57,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_60,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_63,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_66,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_69,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_72,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_75,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_78,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_81,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_84,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_87,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_90,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_93,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_96,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_99,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_102,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_105,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_108,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_111,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_114,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_117,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_120,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_123,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_126,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_129,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_132,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_135,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_138,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_141,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_144,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_147,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_150,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_220,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_31,i_0_29,i_0_38]) ).

cnf(i_0_221,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_222,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_32,i_0_29,i_0_38]) ).

cnf(i_0_223,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_224,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_33,i_0_29,i_0_38]) ).

cnf(i_0_225,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_226,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_34,i_0_29,i_0_38]) ).

cnf(i_0_227,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_243,plain,
    ~ heap(sep(next(nil,X1),X2)),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_244,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_263,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_280,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_293,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_306,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_319,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_333,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_343,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_355,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_365,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_376,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_389,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_401,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_409,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_419,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_424,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_429,plain,
    X1 != X2,
    inference(scs_inference,[],[i_0_32,i_0_37]) ).

cnf(i_0_457,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_460,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_471,plain,
    X1 != X2,
    inference(scs_inference,[],[i_0_31,i_0_37]) ).

cnf(i_0_493,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_496,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_515,plain,
    X1 != X2,
    inference(scs_inference,[],[i_0_34,i_0_37]) ).

cnf(i_0_529,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_531,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_563,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_568,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_600,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_602,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_642,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_646,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_682,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_687,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_720,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_725,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_762,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_765,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_798,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_800,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_830,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_832,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_866,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_868,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_902,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_904,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_941,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_948,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_974,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_979,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_981,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_1019,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1023,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_1058,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1062,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_1083,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1084,plain,
    ~ heap(sep(lseg(X1,X1),sep(next(X2,X3),sep(next(X2,X4),X5)))),
    inference(scs_inference,[],[i_0_25,i_0_29,i_0_41]) ).

cnf(i_0_1085,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_1107,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1117,plain,
    ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X2),X3))),
    inference(scs_inference,[],[i_0_31,i_0_23]) ).

cnf(i_0_1139,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1187,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1204,plain,
    sep(X1,sep(X2,sep(X3,X4))) = sep(X1,sep(X3,sep(X2,X4))),
    inference(scs_inference,[],[i_0_28,i_0_40]) ).

cnf(c_0_46,hypothesis,
    x5 != x9,
    i_0_31 ).

cnf(c_0_47,plain,
    X1 = X2,
    i_0_43 ).

cnf(c_0_48,hypothesis,
    $false,
    inference(sr,[status(thm)],[c_0_46,c_0_47]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWW432-1 : TPTP v9.2.1. Released v5.2.0.
% 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
% 0.14/0.32  % Computer : n004.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32  % CPULimit   : 300
% 0.14/0.32  % WCLimit    : 300
% 0.14/0.32  % DateTime   : Tue May  5 06:48:47 EDT 2026
% 0.14/0.32  % CPUTime    : 
% 0.14/0.33  % start to proof: theBenchmark
% 113.16/80.79  % Version  : CSE_E---1.7
% 113.16/80.79  % Problem  : theBenchmark.p
% 113.16/80.79  % SZS status Unsatisfiable for theBenchmark.p
% 113.16/80.79  % SZS output start CNFRefutation
% See solution above
% 114.26/81.88  % Total time : 80.450s
%------------------------------------------------------------------------------