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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWC247-1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n014.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 05:18:53 PM UTC 2026

% Result   : Unsatisfiable 68.92s 39.60s
% Output   : CNFRefutation 69.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   32
% Syntax   : Number of clauses     :  109 (  51 unt;  17 nHn;  95 RR)
%            Number of literals    :  241 (  69 equ; 128 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   5 con; 0-3 aty)
%            Number of variables   :  117 (  21 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

cnf(co1_7,negated_conjecture,
    frontsegP(sk4,sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

cnf(clause61,axiom,
    ( frontsegP(X1,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause61) ).

cnf(clause109,axiom,
    ( cons(skaf83(X1),skaf82(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause109) ).

cnf(clause132,axiom,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause132) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

cnf(clause137,axiom,
    ( frontsegP(app(X1,X3),X2)
    | ~ frontsegP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause137) ).

cnf(clause97,axiom,
    ( hd(cons(X1,X2)) = X1
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause97) ).

cnf(clause12,axiom,
    ssItem(skaf83(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause12) ).

cnf(clause13,axiom,
    ssList(skaf82(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause13) ).

cnf(clause118,axiom,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause118) ).

cnf(clause51,axiom,
    ssList(skaf45(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).

cnf(co1_9,negated_conjecture,
    nil != sk1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(clause123,axiom,
    ( nil = X2
    | hd(app(X2,X1)) = hd(X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause123) ).

cnf(clause96,axiom,
    ( tl(cons(X1,X2)) = X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).

cnf(clause75,axiom,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause75) ).

cnf(clause138,axiom,
    ( memberP(cons(X2,X3),X1)
    | X1 != X2
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause138) ).

cnf(clause179,axiom,
    ( app(app(X1,cons(X2,X3)),cons(X2,X4)) != X5
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ duplicatefreeP(X5)
    | ~ ssList(X5) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause179) ).

cnf(clause76,axiom,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause76) ).

cnf(clause85,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).

cnf(clause169,axiom,
    ( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause169) ).

cnf(clause52,axiom,
    ssList(skaf43(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause52) ).

cnf(clause53,axiom,
    ssList(skaf42(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause53) ).

cnf(clause72,axiom,
    ( duplicatefreeP(X1)
    | ssItem(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).

cnf(clause74,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).

cnf(clause86,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).

cnf(co1_12,negated_conjecture,
    ( memberP(X2,sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(clause71,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).

cnf(clause120,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).

cnf(c_0_32,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_33,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_34,negated_conjecture,
    frontsegP(sk4,sk3),
    co1_7 ).

cnf(c_0_35,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_36,axiom,
    ( frontsegP(X1,X1)
    | ~ ssList(X1) ),
    clause61 ).

cnf(c_0_37,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_38,axiom,
    ( cons(skaf83(X1),skaf82(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    clause109 ).

cnf(c_0_39,axiom,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause132 ).

cnf(c_0_40,negated_conjecture,
    frontsegP(sk4,sk1),
    inference(rw,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_41,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_42,axiom,
    ( frontsegP(app(X1,X3),X2)
    | ~ frontsegP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause137 ).

cnf(c_0_43,negated_conjecture,
    frontsegP(sk4,sk4),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_44,axiom,
    ( hd(cons(X1,X2)) = X1
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause97 ).

cnf(c_0_45,negated_conjecture,
    ( cons(skaf83(sk4),skaf82(sk4)) = sk4
    | sk4 = nil ),
    inference(spm,[status(thm)],[c_0_38,c_0_37]) ).

cnf(c_0_46,axiom,
    ssItem(skaf83(X1)),
    clause12 ).

cnf(c_0_47,axiom,
    ssList(skaf82(X1)),
    clause13 ).

cnf(c_0_48,axiom,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause118 ).

cnf(c_0_49,negated_conjecture,
    app(sk1,skaf45(sk4,sk1)) = sk4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_37])]) ).

cnf(c_0_50,axiom,
    ssList(skaf45(X1,X2)),
    clause51 ).

cnf(c_0_51,negated_conjecture,
    nil != sk1,
    co1_9 ).

cnf(c_0_52,axiom,
    ( nil = X2
    | hd(app(X2,X1)) = hd(X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause123 ).

cnf(c_0_53,axiom,
    ( tl(cons(X1,X2)) = X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause96 ).

cnf(c_0_54,negated_conjecture,
    ( frontsegP(app(sk4,X1),sk4)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_37])]) ).

cnf(c_0_55,negated_conjecture,
    ( skaf83(sk4) = hd(sk4)
    | sk4 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_47])]) ).

cnf(c_0_56,negated_conjecture,
    sk4 != nil,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_41])]),c_0_51]) ).

cnf(c_0_57,negated_conjecture,
    hd(sk4) = hd(sk1),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_49]),c_0_41]),c_0_50])]),c_0_51]) ).

cnf(c_0_58,negated_conjecture,
    ( skaf82(sk4) = tl(sk4)
    | sk4 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_45]),c_0_46]),c_0_47])]) ).

cnf(c_0_59,axiom,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    clause75 ).

cnf(c_0_60,axiom,
    ( memberP(cons(X2,X3),X1)
    | X1 != X2
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    clause138 ).

cnf(c_0_61,negated_conjecture,
    frontsegP(app(sk4,sk4),sk4),
    inference(spm,[status(thm)],[c_0_54,c_0_37]) ).

cnf(c_0_62,axiom,
    ( app(app(X1,cons(X2,X3)),cons(X2,X4)) != X5
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ duplicatefreeP(X5)
    | ~ ssList(X5) ),
    clause179 ).

cnf(c_0_63,negated_conjecture,
    skaf83(sk4) = hd(sk1),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).

cnf(c_0_64,negated_conjecture,
    skaf82(sk4) = tl(sk4),
    inference(sr,[status(thm)],[c_0_58,c_0_56]) ).

cnf(c_0_65,axiom,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    clause76 ).

cnf(c_0_66,negated_conjecture,
    ( sk4 = nil
    | ssList(tl(sk4)) ),
    inference(spm,[status(thm)],[c_0_59,c_0_37]) ).

cnf(c_0_67,plain,
    ( memberP(cons(X1,X2),X1)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(er,[status(thm)],[c_0_60]) ).

cnf(c_0_68,negated_conjecture,
    ( app(sk4,skaf45(app(sk4,sk4),sk4)) = app(sk4,sk4)
    | ~ ssList(app(sk4,sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_61]),c_0_37])]) ).

cnf(c_0_69,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause85 ).

cnf(c_0_70,plain,
    ( ~ ssItem(X1)
    | ~ ssList(app(app(X2,cons(X1,X3)),cons(X1,X4)))
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ duplicatefreeP(app(app(X2,cons(X1,X3)),cons(X1,X4))) ),
    inference(er,[status(thm)],[c_0_62]) ).

cnf(c_0_71,negated_conjecture,
    cons(hd(sk1),tl(sk4)) = sk4,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_45,c_0_56]),c_0_63]),c_0_64]) ).

cnf(c_0_72,negated_conjecture,
    ssItem(hd(sk1)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_41]),c_0_51]) ).

cnf(c_0_73,negated_conjecture,
    ssList(tl(sk4)),
    inference(sr,[status(thm)],[c_0_66,c_0_56]) ).

cnf(c_0_74,negated_conjecture,
    ( sk4 = nil
    | memberP(sk4,skaf83(sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_45]),c_0_46]),c_0_47])]) ).

cnf(c_0_75,negated_conjecture,
    app(sk4,skaf45(app(sk4,sk4),sk4)) = app(sk4,sk4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_37])]) ).

cnf(c_0_76,negated_conjecture,
    ( ~ ssList(app(app(X1,cons(hd(sk1),X2)),sk4))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ duplicatefreeP(app(app(X1,cons(hd(sk1),X2)),sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_77,axiom,
    ( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    clause169 ).

cnf(c_0_78,axiom,
    ssList(skaf43(X1,X2)),
    clause52 ).

cnf(c_0_79,axiom,
    ssList(skaf42(X1,X2)),
    clause53 ).

cnf(c_0_80,negated_conjecture,
    ( sk4 = nil
    | memberP(sk4,hd(sk4)) ),
    inference(spm,[status(thm)],[c_0_74,c_0_55]) ).

cnf(c_0_81,negated_conjecture,
    cons(skaf83(sk1),skaf82(sk1)) = sk1,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_41]),c_0_51]) ).

cnf(c_0_82,axiom,
    ( duplicatefreeP(X1)
    | ssItem(X2)
    | ~ ssList(X1) ),
    clause72 ).

cnf(c_0_83,negated_conjecture,
    ssList(app(sk4,sk4)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_75]),c_0_37]),c_0_50])]) ).

cnf(c_0_84,negated_conjecture,
    ( ~ memberP(X1,hd(sk1))
    | ~ ssList(app(X1,sk4))
    | ~ ssList(X1)
    | ~ duplicatefreeP(app(X1,sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]),c_0_79]),c_0_72])]) ).

cnf(c_0_85,negated_conjecture,
    memberP(sk4,hd(sk1)),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_80,c_0_56]),c_0_57]) ).

cnf(c_0_86,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    clause74 ).

cnf(c_0_87,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause86 ).

cnf(c_0_88,negated_conjecture,
    skaf82(sk1) = tl(sk1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_81]),c_0_46]),c_0_47])]) ).

cnf(c_0_89,negated_conjecture,
    ( ssItem(X1)
    | duplicatefreeP(app(sk4,sk4)) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_90,negated_conjecture,
    ~ duplicatefreeP(app(sk4,sk4)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_83]),c_0_85]),c_0_37])]) ).

cnf(c_0_91,plain,
    ( app(nil,cons(X1,X2)) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_92,negated_conjecture,
    cons(skaf83(sk1),tl(sk1)) = sk1,
    inference(rw,[status(thm)],[c_0_81,c_0_88]) ).

cnf(c_0_93,negated_conjecture,
    ssList(tl(sk1)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_41]),c_0_51]) ).

cnf(c_0_94,negated_conjecture,
    ( memberP(X2,sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    co1_12 ).

cnf(c_0_95,negated_conjecture,
    ssItem(X1),
    inference(sr,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_96,negated_conjecture,
    ( app(nil,cons(hd(sk1),X1)) = cons(hd(sk1),X1)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_91,c_0_72]) ).

cnf(c_0_97,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_98,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    clause71 ).

cnf(c_0_99,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause120 ).

cnf(c_0_100,negated_conjecture,
    skaf83(sk1) = hd(sk1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_92]),c_0_46]),c_0_93])]) ).

cnf(c_0_101,negated_conjecture,
    ( memberP(X1,sk5(X2,X1,X3))
    | app(app(X1,cons(X3,nil)),X2) != sk1
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95])]) ).

cnf(c_0_102,negated_conjecture,
    app(nil,cons(hd(sk1),nil)) = cons(hd(sk1),nil),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_103,plain,
    ~ memberP(nil,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_95])]) ).

cnf(c_0_104,negated_conjecture,
    ( app(cons(hd(sk1),nil),X1) = cons(hd(sk1),X1)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_99,c_0_72]) ).

cnf(c_0_105,negated_conjecture,
    cons(hd(sk1),tl(sk1)) = sk1,
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_88]),c_0_41])]),c_0_51]),c_0_100]) ).

cnf(c_0_106,negated_conjecture,
    ( app(cons(hd(sk1),nil),X1) != sk1
    | ~ ssList(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_97])]),c_0_103]) ).

cnf(c_0_107,negated_conjecture,
    app(cons(hd(sk1),nil),tl(sk1)) = sk1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_93]),c_0_105]) ).

cnf(c_0_108,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_93]),c_0_107])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.16  % Problem    : SWC247-1 : TPTP v9.2.1. Released v2.4.0.
% 0.13/0.16  % 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
% 0.20/0.38  % Computer : n014.cluster.edu
% 0.20/0.38  % Model    : x86_64 x86_64
% 0.20/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.38  % Memory   : 8042.1875MB
% 0.20/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.20/0.38  % CPULimit   : 300
% 0.20/0.38  % WCLimit    : 300
% 0.20/0.38  % DateTime   : Tue May  5 04:38:21 EDT 2026
% 0.20/0.38  % CPUTime    : 
% 0.20/0.40  % start to proof: theBenchmark
% 68.92/39.60  % Version  : CSE_E---1.7
% 68.92/39.60  % Problem  : theBenchmark.p
% 68.92/39.60  % SZS status Unsatisfiable for theBenchmark.p
% 68.92/39.60  % SZS output start CNFRefutation
% See solution above
% 69.12/39.86  % Total time : 30.429s
%------------------------------------------------------------------------------