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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWC299-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:43:50 PM UTC 2026

% Result   : Unsatisfiable 1.42s 0.71s
% Output   : CNFRefutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   27
% Syntax   : Number of clauses     :   97 (  33 unt;  11 nHn;  86 RR)
%            Number of literals    :  265 (  48 equ; 171 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :  133 (  11 sgn)

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

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

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

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

cnf(clause101,axiom,
    ( ~ ssList(X1)
    | ~ singletonP(X1)
    | cons(skaf44(X1),nil) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause101) ).

cnf(clause47,axiom,
    ssItem(skaf44(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause47) ).

cnf(clause116,axiom,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,nil) != X2
    | singletonP(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause116) ).

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

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

cnf(clause149,axiom,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(app(X3,X2),X1) = app(X3,app(X2,X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause149) ).

cnf(co1_12,negated_conjecture,
    app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(co1_9,negated_conjecture,
    ssList(sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(co1_10,negated_conjecture,
    ssList(sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(co1_7,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(co1_8,negated_conjecture,
    ssItem(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(co1_11,negated_conjecture,
    ssList(sk9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

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

cnf(clause181,axiom,
    ( ~ ssList(X6)
    | ~ strictorderedP(X6)
    | ~ ssItem(X2)
    | ~ ssItem(X4)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X5)
    | app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
    | lt(X2,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause181) ).

cnf(clause157,axiom,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,app(X2,X3)) = app(cons(X1,X2),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause157) ).

cnf(clause114,axiom,
    ( ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ lt(X2,X1)
    | ~ lt(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause114) ).

cnf(co1_13,negated_conjecture,
    lt(sk6,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

cnf(clause66,axiom,
    ( ~ ssItem(X1)
    | strictorderedP(cons(X1,nil)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause66) ).

cnf(co1_24,negated_conjecture,
    ( nil = sk3
    | cons(sk10,nil) = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_24) ).

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

cnf(co1_15,negated_conjecture,
    ( nil = sk3
    | ssItem(sk10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

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

cnf(clause3,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause3) ).

cnf(c_0_27,plain,
    ( ~ ssList(X5)
    | ~ duplicatefreeP(X5)
    | ~ ssItem(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | app(app(X1,cons(X2,X3)),cons(X2,X4)) != X5 ),
    inference(fof_simplification,[status(thm)],[clause179]) ).

cnf(c_0_28,plain,
    ( ~ ssList(X5)
    | ~ duplicatefreeP(X5)
    | ~ ssItem(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | app(app(X1,cons(X2,X3)),cons(X2,X4)) != X5 ),
    c_0_27 ).

cnf(c_0_29,plain,
    ( ~ ssList(X1)
    | app(nil,X1) = X1 ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_30,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | ssList(cons(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_31,plain,
    ( ~ duplicatefreeP(app(app(X2,cons(X1,X3)),cons(X1,X4)))
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssList(app(app(X2,cons(X1,X3)),cons(X1,X4)))
    | ~ ssItem(X1) ),
    inference(er,[status(thm)],[c_0_28]) ).

cnf(c_0_32,plain,
    ( ~ ssList(X1)
    | app(nil,X1) = X1 ),
    c_0_29 ).

cnf(c_0_33,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_34,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | ssList(cons(X1,X2)) ),
    c_0_30 ).

cnf(c_0_35,plain,
    ( ~ ssList(X1)
    | ~ singletonP(X1)
    | cons(skaf44(X1),nil) = X1 ),
    inference(fof_simplification,[status(thm)],[clause101]) ).

cnf(c_0_36,plain,
    ( ~ duplicatefreeP(app(cons(X1,X2),cons(X1,X3)))
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(app(cons(X1,X2),cons(X1,X3)))
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]),c_0_34]) ).

cnf(c_0_37,plain,
    ( ~ ssList(X1)
    | ~ singletonP(X1)
    | cons(skaf44(X1),nil) = X1 ),
    c_0_35 ).

cnf(c_0_38,axiom,
    ssItem(skaf44(X1)),
    clause47 ).

cnf(c_0_39,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,nil) != X2
    | singletonP(X2) ),
    inference(fof_simplification,[status(thm)],[clause116]) ).

cnf(c_0_40,plain,
    ( ~ duplicatefreeP(app(cons(skaf44(X1),X2),X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(app(cons(skaf44(X1),X2),X1))
    | ~ singletonP(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_33])]) ).

cnf(c_0_41,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | app(cons(X1,nil),X2) = cons(X1,X2) ),
    inference(fof_simplification,[status(thm)],[clause120]) ).

cnf(c_0_42,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,nil) != X2
    | singletonP(X2) ),
    c_0_39 ).

cnf(c_0_43,plain,
    ( ~ ssList(X1)
    | ssItem(X2)
    | duplicatefreeP(X1) ),
    inference(fof_simplification,[status(thm)],[clause72]) ).

cnf(c_0_44,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(app(X3,X2),X1) = app(X3,app(X2,X1)) ),
    inference(fof_simplification,[status(thm)],[clause149]) ).

cnf(c_0_45,plain,
    ( ~ duplicatefreeP(app(X1,X1))
    | ~ ssList(X1)
    | ~ ssList(app(X1,X1))
    | ~ singletonP(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_37]),c_0_33])]) ).

cnf(c_0_46,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | app(cons(X1,nil),X2) = cons(X1,X2) ),
    c_0_41 ).

cnf(c_0_47,plain,
    ( ~ ssList(cons(X1,nil))
    | ~ ssItem(X1)
    | singletonP(cons(X1,nil)) ),
    inference(er,[status(thm)],[c_0_42]) ).

cnf(c_0_48,plain,
    ( ~ ssList(X1)
    | ssItem(X2)
    | duplicatefreeP(X1) ),
    c_0_43 ).

cnf(c_0_49,negated_conjecture,
    app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
    co1_12 ).

cnf(c_0_50,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(app(X3,X2),X1) = app(X3,app(X2,X1)) ),
    c_0_44 ).

cnf(c_0_51,negated_conjecture,
    ssList(sk7),
    co1_9 ).

cnf(c_0_52,negated_conjecture,
    ssList(sk8),
    co1_10 ).

cnf(c_0_53,plain,
    ( ~ duplicatefreeP(cons(X1,cons(X1,nil)))
    | ~ ssList(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_34]),c_0_47]) ).

cnf(c_0_54,plain,
    ( ~ ssList(X3)
    | ~ ssItem(X2)
    | duplicatefreeP(cons(X2,X3))
    | ssItem(X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_34]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ ssList(cons(sk5,nil))
    | app(app(app(sk7,app(cons(sk5,nil),sk8)),cons(sk6,nil)),sk9) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52])]) ).

cnf(c_0_56,negated_conjecture,
    ssItem(sk5),
    co1_7 ).

cnf(c_0_57,plain,
    ( ~ ssList(cons(X2,nil))
    | ~ ssItem(X2)
    | ssItem(X1) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_58,negated_conjecture,
    app(app(app(sk7,app(cons(sk5,nil),sk8)),cons(sk6,nil)),sk9) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_34]),c_0_56]),c_0_33])]) ).

cnf(c_0_59,plain,
    ( ~ ssItem(X2)
    | ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_34]),c_0_33])]) ).

cnf(c_0_60,negated_conjecture,
    ssItem(sk6),
    co1_8 ).

cnf(c_0_61,negated_conjecture,
    app(app(app(sk7,cons(sk5,sk8)),cons(sk6,nil)),sk9) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_46]),c_0_56]),c_0_52])]) ).

cnf(c_0_62,negated_conjecture,
    ssList(sk9),
    co1_11 ).

cnf(c_0_63,negated_conjecture,
    ssItem(X1),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ ssList(cons(sk6,nil))
    | ~ ssList(app(sk7,cons(sk5,sk8)))
    | app(app(sk7,cons(sk5,sk8)),app(cons(sk6,nil),sk9)) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_61]),c_0_62])]) ).

cnf(c_0_65,plain,
    ( ~ ssList(X2)
    | ssList(cons(X1,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_63])]) ).

cnf(c_0_66,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ssList(app(X2,X1)) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_67,plain,
    ( ~ ssList(X6)
    | ~ strictorderedP(X6)
    | ~ ssItem(X2)
    | ~ ssItem(X4)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X5)
    | app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
    | lt(X2,X4) ),
    inference(fof_simplification,[status(thm)],[clause181]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ ssList(app(sk7,cons(sk5,sk8)))
    | app(app(sk7,cons(sk5,sk8)),app(cons(sk6,nil),sk9)) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_33])]) ).

cnf(c_0_69,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ssList(app(X2,X1)) ),
    c_0_66 ).

cnf(c_0_70,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,app(X2,X3)) = app(cons(X1,X2),X3) ),
    inference(fof_simplification,[status(thm)],[clause157]) ).

cnf(c_0_71,plain,
    ( ~ ssList(X6)
    | ~ strictorderedP(X6)
    | ~ ssItem(X2)
    | ~ ssItem(X4)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X5)
    | app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
    | lt(X2,X4) ),
    c_0_67 ).

cnf(c_0_72,negated_conjecture,
    ( ~ ssList(cons(sk5,sk8))
    | app(app(sk7,cons(sk5,sk8)),app(cons(sk6,nil),sk9)) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_51])]) ).

cnf(c_0_73,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,app(X2,X3)) = app(cons(X1,X2),X3) ),
    c_0_70 ).

cnf(c_0_74,plain,
    ( ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ lt(X2,X1)
    | ~ lt(X1,X2) ),
    inference(fof_simplification,[status(thm)],[clause114]) ).

cnf(c_0_75,plain,
    ( ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssList(X5)
    | ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | lt(X1,X2) ),
    inference(er,[status(thm)],[c_0_71]) ).

cnf(c_0_76,negated_conjecture,
    app(app(sk7,cons(sk5,sk8)),app(cons(sk6,nil),sk9)) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_65]),c_0_52])]) ).

cnf(c_0_77,plain,
    ( ~ ssList(X2)
    | ~ ssList(X3)
    | app(cons(X1,X2),X3) = cons(X1,app(X2,X3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_63])]) ).

cnf(c_0_78,plain,
    ( ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ lt(X2,X1)
    | ~ lt(X1,X2) ),
    c_0_74 ).

cnf(c_0_79,negated_conjecture,
    lt(sk6,sk5),
    co1_13 ).

cnf(c_0_80,plain,
    ( ~ ssItem(X1)
    | strictorderedP(cons(X1,nil)) ),
    inference(fof_simplification,[status(thm)],[clause66]) ).

cnf(c_0_81,negated_conjecture,
    ( nil = sk3
    | cons(sk10,nil) = sk3 ),
    co1_24 ).

cnf(c_0_82,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_83,negated_conjecture,
    ( nil = sk3
    | ssItem(sk10) ),
    co1_15 ).

cnf(c_0_84,plain,
    ( ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssList(X5)
    | ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | lt(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_63]),c_0_63])]) ).

cnf(c_0_85,negated_conjecture,
    app(app(sk7,cons(sk5,sk8)),cons(sk6,app(nil,sk9))) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_62]),c_0_33])]) ).

cnf(c_0_86,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_87,negated_conjecture,
    ~ lt(sk5,sk6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_60]),c_0_56])]) ).

cnf(c_0_88,plain,
    ( ~ ssItem(X1)
    | strictorderedP(cons(X1,nil)) ),
    c_0_80 ).

cnf(c_0_89,negated_conjecture,
    ( nil = sk1
    | cons(sk10,nil) = sk1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82]),c_0_82]) ).

cnf(c_0_90,negated_conjecture,
    ( ssItem(sk10)
    | nil = sk1 ),
    inference(rw,[status(thm)],[c_0_83,c_0_82]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ strictorderedP(sk1)
    | ~ ssList(app(nil,sk9)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]),c_0_52]),c_0_51])]),c_0_87]) ).

cnf(c_0_92,negated_conjecture,
    ( strictorderedP(sk1)
    | nil = sk1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).

cnf(c_0_93,negated_conjecture,
    ~ strictorderedP(sk1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_32]),c_0_62])]) ).

cnf(c_0_94,axiom,
    strictorderedP(nil),
    clause3 ).

cnf(c_0_95,negated_conjecture,
    nil = sk1,
    inference(sr,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_96,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95]),c_0_93]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC299-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n014.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 08:13:19 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.42/0.71  % Version: 3.5.1
% 1.42/0.71  % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.42/0.71  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.42/0.71  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.42/0.71  % Starting new_bool_3 with 300s (1) cores
% 1.42/0.71  % Starting new_bool_1 with 300s (1) cores
% 1.42/0.71  % Starting sh5l with 300s (1) cores
% 1.42/0.71  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3613031 completed with status 0
% 1.42/0.71  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.42/0.71  % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.42/0.71  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.42/0.71  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.42/0.71  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.42/0.71  % No SInE strategy applied
% 1.42/0.71  % Search class: FGHSM-FSLM21-MFFFFFNN
% 1.42/0.71  % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 1.42/0.71  % Starting SubtermCWHack with 136s (1) cores
% 1.42/0.71  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.42/0.71  % Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 1.42/0.71  % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 1.42/0.71  % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 1.42/0.71  % G-E--_200_B02_F1_SE_CS_SP_PI_S2k with pid 3613040 completed with status 0
% 1.42/0.71  % Result found by G-E--_200_B02_F1_SE_CS_SP_PI_S2k
% 1.42/0.71  % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.42/0.71  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.42/0.71  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.42/0.71  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.42/0.71  % No SInE strategy applied
% 1.42/0.71  % Search class: FGHSM-FSLM21-MFFFFFNN
% 1.42/0.71  % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 1.42/0.71  % Starting SubtermCWHack with 136s (1) cores
% 1.42/0.71  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.42/0.71  % Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 1.42/0.71  % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 1.42/0.71  % Preprocessing time       : 0.006 s
% 1.42/0.71  
% 1.42/0.71  % Proof found!
% 1.42/0.71  % SZS status Unsatisfiable
% 1.42/0.71  % SZS output start CNFRefutation
% See solution above
% 1.42/0.71  % Parsed axioms                        : 212
% 1.42/0.71  % Removed by relevancy pruning/SinE    : 0
% 1.42/0.71  % Initial clauses                      : 212
% 1.42/0.71  % Removed in clause preprocessing      : 0
% 1.42/0.71  % Initial clauses in saturation        : 212
% 1.42/0.71  % Processed clauses                    : 931
% 1.42/0.71  % ...of these trivial                  : 13
% 1.42/0.71  % ...subsumed                          : 220
% 1.42/0.71  % ...remaining for further processing  : 698
% 1.42/0.71  % Other redundant clauses eliminated   : 72
% 1.42/0.71  % Clauses deleted for lack of memory   : 0
% 1.42/0.71  % Backward-subsumed                    : 92
% 1.42/0.71  % Backward-rewritten                   : 335
% 1.42/0.71  % Generated clauses                    : 2871
% 1.42/0.71  % ...of the previous two non-redundant : 2779
% 1.42/0.71  % ...aggressively subsumed             : 0
% 1.42/0.71  % Contextual simplify-reflections      : 107
% 1.42/0.71  % Paramodulations                      : 2791
% 1.42/0.71  % Factorizations                       : 0
% 1.42/0.71  % NegExts                              : 0
% 1.42/0.71  % Equation resolutions                 : 79
% 1.42/0.71  % Disequality decompositions           : 0
% 1.42/0.71  % Total rewrite steps                  : 2811
% 1.42/0.71  % ...of those cached                   : 2659
% 1.42/0.71  % Propositional unsat checks           : 0
% 1.42/0.71  %    Propositional check models        : 0
% 1.42/0.71  %    Propositional check unsatisfiable : 0
% 1.42/0.71  %    Propositional clauses             : 0
% 1.42/0.71  %    Propositional clauses after purity: 0
% 1.42/0.71  %    Propositional unsat core size     : 0
% 1.42/0.71  %    Propositional preprocessing time  : 0.000
% 1.42/0.71  %    Propositional encoding time       : 0.000
% 1.42/0.71  %    Propositional solver time         : 0.000
% 1.42/0.71  %    Success case prop preproc time    : 0.000
% 1.42/0.71  %    Success case prop encoding time   : 0.000
% 1.42/0.71  %    Success case prop solver time     : 0.000
% 1.42/0.71  % Current number of processed clauses  : 246
% 1.42/0.71  %    Positive orientable unit clauses  : 79
% 1.42/0.71  %    Positive unorientable unit clauses: 0
% 1.42/0.71  %    Negative unit clauses             : 6
% 1.42/0.71  %    Non-unit-clauses                  : 161
% 1.42/0.71  % Current number of unprocessed clauses: 1851
% 1.42/0.71  % ...number of literals in the above   : 9771
% 1.42/0.71  % Current number of archived formulas  : 0
% 1.42/0.71  % Current number of archived clauses   : 429
% 1.42/0.71  % Clause-clause subsumption calls (NU) : 33277
% 1.42/0.71  % Rec. Clause-clause subsumption calls : 11847
% 1.42/0.71  % Non-unit clause-clause subsumptions  : 359
% 1.42/0.71  % Unit Clause-clause subsumption calls : 1061
% 1.42/0.71  % Rewrite failures with RHS unbound    : 0
% 1.42/0.71  % BW rewrite match attempts            : 74
% 1.42/0.71  % BW rewrite match successes           : 46
% 1.42/0.71  % Condensation attempts                : 0
% 1.42/0.71  % Condensation successes               : 0
% 1.42/0.71  % Termbank termtop insertions          : 63356
% 1.42/0.71  % Search garbage collected termcells   : 545
% 1.42/0.71  
% 1.42/0.71  % -------------------------------------------------
% 1.42/0.71  % User time                : 0.199 s
% 1.42/0.71  % System time              : 0.017 s
% 1.42/0.71  % Total time               : 0.215 s
% 1.42/0.71  % Maximum resident set size: 3820 pages
% 1.42/0.71  
% 1.42/0.71  % -------------------------------------------------
% 1.42/0.71  % User time                : 0.893 s
% 1.42/0.71  % System time              : 0.065 s
% 1.42/0.71  % Total time               : 0.958 s
% 1.42/0.71  % Maximum resident set size: 4864 pages
% 1.42/0.71  % E exiting
%------------------------------------------------------------------------------