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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWW403-1 : TPTP v9.2.1. Released v5.2.0.
% 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 : n025.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 05:32:17 PM UTC 2026

% Result   : Unsatisfiable 111.50s 80.08s
% Output   : CNFRefutation 112.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   25
% Syntax   : Number of clauses     :  125 ( 106 unt;   6 nHn;  69 RR)
%            Number of literals    :  152 ( 109 equ;  70 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    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :  346 (  81 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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SWV013-0.ax',wellformedness_4) ).

cnf(wellformedness_3,axiom,
    ~ heap(sep(next(X1,X2),sep(next(X1,X3),X4))),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',wellformedness_3) ).

cnf(conclusion_1,negated_conjecture,
    ~ heap(sep(lseg(x5,x4),sep(next(x4,x5),emp))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).

cnf(premise_7,hypothesis,
    heap(sep(lseg(x1,x4),sep(next(x4,x1),emp))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_7) ).

cnf(wellformedness_2,axiom,
    ( X1 = nil
    | ~ heap(sep(lseg(nil,X1),X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',wellformedness_2) ).

cnf(wellformedness_1,axiom,
    ~ heap(sep(next(nil,X1),X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',wellformedness_1) ).

cnf(associative_commutative,axiom,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).

cnf(normalization,axiom,
    sep(lseg(X1,X1),X2) = X2,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).

cnf(premise_6,hypothesis,
    x2 != x4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_6) ).

cnf(premise_4,hypothesis,
    nil != x4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_4) ).

cnf(premise_5,hypothesis,
    x2 != x3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_5) ).

cnf(premise_3,hypothesis,
    nil != x3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).

cnf(premise_2,hypothesis,
    nil != x2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).

cnf(premise_1,hypothesis,
    nil != x1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_1) ).

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,negated_conjecture,
    ~ heap(sep(lseg(x5,x4),sep(next(x4,x5),emp))),
    conclusion_1,
    [final] ).

cnf(i_0_27,hypothesis,
    heap(sep(lseg(x1,x4),sep(next(x4,x1),emp))),
    premise_7,
    [final] ).

cnf(i_0_28,axiom,
    ( X1 = nil
    | ~ heap(sep(lseg(nil,X1),X2)) ),
    wellformedness_2,
    [final] ).

cnf(i_0_29,axiom,
    ~ heap(sep(next(nil,X1),X2)),
    wellformedness_1,
    [final] ).

cnf(i_0_30,axiom,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    associative_commutative,
    [final] ).

cnf(i_0_31,axiom,
    sep(lseg(X1,X1),X2) = X2,
    normalization,
    [final] ).

cnf(i_0_32,hypothesis,
    x2 != x4,
    premise_6,
    [final] ).

cnf(i_0_33,hypothesis,
    nil != x4,
    premise_4,
    [final] ).

cnf(i_0_34,hypothesis,
    x2 != x3,
    premise_5,
    [final] ).

cnf(i_0_35,hypothesis,
    nil != x3,
    premise_3,
    [final] ).

cnf(i_0_36,hypothesis,
    nil != x2,
    premise_2,
    [final] ).

cnf(i_0_37,hypothesis,
    nil != x1,
    premise_1,
    [final] ).

cnf(i_0_38,axiom,
    X1 = X1 ).

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

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

cnf(i_0_41,axiom,
    ( X1 != X2
    | sep(X1,X3) = sep(X2,X3) ) ).

cnf(i_0_42,axiom,
    ( X1 != X2
    | sep(X3,X1) = sep(X3,X2) ) ).

cnf(i_0_43,axiom,
    ( X1 != X2
    | ~ heap(X1)
    | heap(X2) ) ).

cnf(i_0_44,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(scs_inference,[],[i_0_31,i_0_39]) ).

cnf(i_0_45,plain,
    sep(lseg(X1,X2),sep(next(X2,X1),emp)) != sep(lseg(X3,X2),sep(next(X2,X3),emp)),
    inference(scs_inference,[],[i_0_26,i_0_31,i_0_27,i_0_39,i_0_43]) ).

cnf(i_0_46,plain,
    sep(lseg(X1,X2),sep(next(X2,X1),emp)) != sep(next(X2,X3),sep(lseg(X3,X2),emp)),
    inference(scs_inference,[],[i_0_26,i_0_30,i_0_31,i_0_27,i_0_39,i_0_43,i_0_40]) ).

cnf(i_0_47,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_53,plain,
    sep(lseg(X1,X2),sep(next(X2,X1),emp)) != sep(next(X3,X4),sep(next(X3,X5),X6)),
    inference(scs_inference,[],[i_0_25,i_0_27,i_0_43]) ).

cnf(i_0_54,plain,
    lseg(X1,X2) != next(X2,X3),
    inference(scs_inference,[],[i_0_25,i_0_27,i_0_43,i_0_41]) ).

cnf(i_0_55,plain,
    sep(lseg(X1,X2),sep(next(X2,X1),emp)) != sep(next(nil,X3),X4),
    inference(scs_inference,[],[i_0_29,i_0_27,i_0_43]) ).

cnf(i_0_56,plain,
    lseg(X1,X2) != next(nil,X3),
    inference(scs_inference,[],[i_0_29,i_0_27,i_0_43,i_0_41]) ).

cnf(i_0_60,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_68,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_32,i_0_31,i_0_40]) ).

cnf(i_0_69,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_74,plain,
    nil != sep(lseg(X1,X1),X2),
    inference(scs_inference,[],[i_0_33,i_0_31,i_0_40]) ).

cnf(i_0_75,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_76,plain,
    X1 != sep(lseg(X2,X2),X3),
    inference(scs_inference,[],[i_0_34,i_0_31,i_0_40]) ).

cnf(i_0_77,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_78,plain,
    nil != sep(lseg(X1,X1),X2),
    inference(scs_inference,[],[i_0_35,i_0_31,i_0_40]) ).

cnf(i_0_79,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_80,plain,
    nil != sep(lseg(X1,X1),X2),
    inference(scs_inference,[],[i_0_36,i_0_31,i_0_40]) ).

cnf(i_0_81,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_82,plain,
    nil != sep(lseg(X1,X1),X2),
    inference(scs_inference,[],[i_0_37,i_0_31,i_0_40]) ).

cnf(i_0_83,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_85,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_91,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_96,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_114,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_118,plain,
    sep(lseg(X1,X1),X2) = X2,
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_132,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_138,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_145,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_169,plain,
    ~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))),
    inference(scs_inference,[],[i_0_32,i_0_24]) ).

cnf(i_0_171,plain,
    ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(next(X3,X1),emp)))),
    inference(scs_inference,[],[i_0_26,i_0_32,i_0_24,i_0_20]) ).

cnf(i_0_179,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_212,plain,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_298,plain,
    ~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))),
    inference(scs_inference,[],[i_0_34,i_0_24]) ).

cnf(i_0_347,plain,
    sep(sep(X1,sep(X2,X3)),X4) = sep(sep(X2,sep(X1,X3)),X4),
    inference(scs_inference,[],[i_0_30,i_0_41]) ).

cnf(i_0_348,plain,
    sep(X1,sep(X2,sep(X3,X4))) = sep(X1,sep(X3,sep(X2,X4))),
    inference(scs_inference,[],[i_0_30,i_0_41,i_0_42]) ).

cnf(i_0_410,plain,
    sep(sep(lseg(X1,X1),X2),X3) = sep(X2,X3),
    inference(scs_inference,[],[i_0_31,i_0_41]) ).

cnf(i_0_411,plain,
    sep(X1,sep(lseg(X2,X2),X3)) = sep(X1,X3),
    inference(scs_inference,[],[i_0_31,i_0_41,i_0_42]) ).

cnf(i_0_686,plain,
    X1 != nil,
    inference(scs_inference,[],[i_0_33,i_0_39]) ).

cnf(i_0_48,plain,
    sep(X1,sep(X2,X3)) = sep(lseg(X4,X4),sep(X2,sep(X1,X3))),
    inference(scs_inference,[],[i_0_44,i_0_30,i_0_40]) ).

cnf(i_0_49,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_50,plain,
    sep(lseg(X1,X1),sep(X2,sep(X3,X4))) = sep(X3,sep(X2,X4)),
    inference(scs_inference,[],[i_0_44,i_0_30,i_0_40,i_0_39]) ).

cnf(i_0_57,plain,
    sep(lseg(X1,X1),X2) = sep(lseg(X3,X3),X2),
    inference(scs_inference,[],[i_0_31,i_0_44,i_0_40]) ).

cnf(i_0_58,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_62,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_84,plain,
    lseg(X1,X2) != sep(lseg(X3,X3),next(X2,X4)),
    inference(scs_inference,[],[i_0_54,i_0_31,i_0_40]) ).

cnf(i_0_90,plain,
    sep(lseg(X1,X2),sep(next(X2,X1),emp)) != sep(X3,sep(next(nil,X4),X5)),
    inference(scs_inference,[],[i_0_55,i_0_30,i_0_40]) ).

cnf(i_0_92,plain,
    sep(lseg(X1,X2),sep(next(X2,X1),emp)) != sep(next(nil,X3),X4),
    inference(rename_variables,[],[i_0_55]) ).

cnf(i_0_93,plain,
    sep(next(X1,X2),emp) != sep(next(nil,X3),X4),
    inference(scs_inference,[],[i_0_55,i_0_30,i_0_40,i_0_42]) ).

cnf(i_0_94,plain,
    next(X1,X2) != next(nil,X3),
    inference(scs_inference,[],[i_0_55,i_0_30,i_0_40,i_0_42,i_0_41]) ).

cnf(i_0_95,plain,
    lseg(X1,X2) != sep(lseg(X3,X3),next(nil,X4)),
    inference(scs_inference,[],[i_0_56,i_0_31,i_0_40]) ).

cnf(i_0_162,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_181,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_186,plain,
    ~ heap(sep(next(lseg(X1,X2),X3),sep(lseg(lseg(X1,X2),next(X2,X4)),X5))),
    inference(scs_inference,[],[i_0_54,i_0_24]) ).

cnf(i_0_195,plain,
    ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(next(X3,X1),emp)))),
    inference(rename_variables,[],[i_0_171]) ).

cnf(i_0_201,plain,
    ~ heap(sep(next(lseg(X1,X2),X3),sep(lseg(lseg(X1,X2),next(nil,X4)),X5))),
    inference(scs_inference,[],[i_0_56,i_0_24]) ).

cnf(i_0_211,plain,
    ~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))),
    inference(rename_variables,[],[i_0_169]) ).

cnf(i_0_214,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_228,plain,
    ~ heap(sep(next(X1,X2),sep(lseg(X1,sep(lseg(X3,X3),X4)),X5))),
    inference(scs_inference,[],[i_0_76,i_0_24]) ).

cnf(i_0_256,plain,
    ~ heap(sep(next(X1,X2),sep(lseg(X1,sep(lseg(X3,X3),X4)),X5))),
    inference(scs_inference,[],[i_0_68,i_0_24]) ).

cnf(i_0_359,plain,
    sep(sep(sep(X1,sep(X2,X3)),X4),X5) = sep(sep(sep(X2,sep(X1,X3)),X4),X5),
    inference(scs_inference,[],[i_0_347,i_0_41]) ).

cnf(i_0_360,plain,
    sep(X1,sep(sep(X2,sep(X3,X4)),X5)) = sep(X1,sep(sep(X3,sep(X2,X4)),X5)),
    inference(scs_inference,[],[i_0_347,i_0_41,i_0_42]) ).

cnf(i_0_366,plain,
    sep(X1,sep(X2,sep(X3,X4))) = sep(X1,sep(X3,sep(X2,X4))),
    inference(rename_variables,[],[i_0_348]) ).

cnf(i_0_368,plain,
    sep(X1,sep(X2,sep(X3,X4))) = sep(X1,sep(X3,sep(X2,X4))),
    inference(rename_variables,[],[i_0_348]) ).

cnf(i_0_369,plain,
    sep(sep(X1,sep(X2,sep(X3,X4))),X5) = sep(sep(X1,sep(X3,sep(X2,X4))),X5),
    inference(scs_inference,[],[i_0_348,i_0_41]) ).

cnf(i_0_370,plain,
    sep(X1,sep(X2,sep(X3,sep(X4,X5)))) = sep(X1,sep(X2,sep(X4,sep(X3,X5)))),
    inference(scs_inference,[],[i_0_348,i_0_41,i_0_42]) ).

cnf(i_0_375,plain,
    sep(X1,sep(X2,sep(X3,X4))) = sep(X1,sep(X3,sep(X2,X4))),
    inference(rename_variables,[],[i_0_348]) ).

cnf(i_0_416,plain,
    sep(sep(sep(lseg(X1,X1),X2),X3),X4) = sep(sep(X2,X3),X4),
    inference(scs_inference,[],[i_0_410,i_0_41]) ).

cnf(i_0_417,plain,
    sep(X1,sep(sep(lseg(X2,X2),X3),X4)) = sep(X1,sep(X3,X4)),
    inference(scs_inference,[],[i_0_410,i_0_41,i_0_42]) ).

cnf(i_0_420,plain,
    sep(sep(lseg(X1,X1),X2),X3) = sep(X2,X3),
    inference(rename_variables,[],[i_0_410]) ).

cnf(i_0_422,plain,
    sep(sep(lseg(X1,X1),X2),X3) = sep(X2,X3),
    inference(rename_variables,[],[i_0_410]) ).

cnf(i_0_436,plain,
    X1 = sep(lseg(X2,X2),X1),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_452,plain,
    sep(sep(X1,sep(lseg(X2,X2),X3)),X4) = sep(sep(X1,X3),X4),
    inference(scs_inference,[],[i_0_411,i_0_41]) ).

cnf(i_0_453,plain,
    sep(X1,sep(X2,sep(lseg(X3,X3),X4))) = sep(X1,sep(X2,X4)),
    inference(scs_inference,[],[i_0_411,i_0_41,i_0_42]) ).

cnf(i_0_486,plain,
    ~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))),
    inference(rename_variables,[],[i_0_298]) ).

cnf(i_0_488,plain,
    sep(sep(lseg(X1,X1),X2),X3) = sep(X2,X3),
    inference(rename_variables,[],[i_0_410]) ).

cnf(i_0_493,plain,
    sep(X1,sep(lseg(X2,X2),X3)) = sep(X1,X3),
    inference(rename_variables,[],[i_0_411]) ).

cnf(i_0_515,plain,
    sep(lseg(X1,X2),sep(next(X2,X1),emp)) != sep(next(nil,X3),X4),
    inference(rename_variables,[],[i_0_55]) ).

cnf(i_0_559,plain,
    sep(sep(lseg(X1,X1),X2),X3) = sep(X2,X3),
    inference(rename_variables,[],[i_0_410]) ).

cnf(c_0_688,plain,
    X1 != nil,
    i_0_686 ).

cnf(c_0_689,plain,
    $false,
    inference(er,[status(thm)],[c_0_688]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWW403-1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.11  % 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
% 0.14/0.32  % Computer : n025.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 06:46:28 EDT 2026
% 0.14/0.32  % CPUTime    : 
% 0.14/0.33  % start to proof: theBenchmark
% 111.50/80.08  % Version  : CSE_E---1.7
% 111.50/80.08  % Problem  : theBenchmark.p
% 111.50/80.08  % SZS status Unsatisfiable for theBenchmark.p
% 111.50/80.08  % SZS output start CNFRefutation
% See solution above
% 112.18/80.74  % Total time : 79.738s
%------------------------------------------------------------------------------