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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWC093-1 : 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 : n016.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 02:42:58 PM UTC 2026

% Result   : Unsatisfiable 2.85s 0.87s
% Output   : CNFRefutation 2.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   26
% Syntax   : Number of clauses     :  100 (  28 unt;   9 nHn;  85 RR)
%            Number of literals    :  284 (  51 equ; 189 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :  151 (  20 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_11,negated_conjecture,
    ( ~ neq(sk4,nil)
    | cons(sk5,nil) = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(co1_7,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

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

cnf(co1_10,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

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

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

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

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

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

cnf(co1_8,negated_conjecture,
    ( ~ segmentP(sk1,X1)
    | ~ segmentP(sk2,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(clause102,axiom,
    ( ~ ssItem(X2)
    | ~ ssItem(X1)
    | X2 = X1
    | neq(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause102) ).

cnf(clause173,axiom,
    ( ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | app(app(X1,X2),X3) != X4
    | segmentP(X4,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).

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(clause144,axiom,
    ( ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != X3
    | frontsegP(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).

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

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

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

cnf(co1_12,negated_conjecture,
    ( ~ neq(sk4,nil)
    | memberP(sk4,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(clause98,axiom,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,X2) != nil ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).

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

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

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

cnf(c_0_26,negated_conjecture,
    ( ~ neq(sk4,nil)
    | cons(sk5,nil) = sk3 ),
    inference(fof_simplification,[status(thm)],[co1_11]) ).

cnf(c_0_27,negated_conjecture,
    neq(sk2,nil),
    co1_7 ).

cnf(c_0_28,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_29,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    inference(fof_simplification,[status(thm)],[co1_10]) ).

cnf(c_0_30,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | app(cons(X1,nil),X2) = cons(X1,X2) ),
    inference(fof_simplification,[status(thm)],[clause120]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ neq(sk4,nil)
    | cons(sk5,nil) = sk3 ),
    c_0_26 ).

cnf(c_0_32,negated_conjecture,
    neq(sk4,nil),
    inference(rw,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    c_0_29 ).

cnf(c_0_34,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_35,plain,
    ( ~ ssList(X1)
    | app(nil,X1) = X1 ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_36,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | ssList(cons(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_37,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ssList(app(X2,X1)) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_38,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | app(cons(X1,nil),X2) = cons(X1,X2) ),
    c_0_30 ).

cnf(c_0_39,negated_conjecture,
    cons(sk5,nil) = sk3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]) ).

cnf(c_0_40,negated_conjecture,
    ssItem(sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_32])]) ).

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

cnf(c_0_42,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_43,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_34 ).

cnf(c_0_44,plain,
    ( ~ ssList(X1)
    | app(nil,X1) = X1 ),
    c_0_35 ).

cnf(c_0_45,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_46,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | ssList(cons(X1,X2)) ),
    c_0_36 ).

cnf(c_0_47,plain,
    ( ~ ssList(X1)
    | ssItem(X2)
    | duplicatefreeP(X1) ),
    inference(fof_simplification,[status(thm)],[clause72]) ).

cnf(c_0_48,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ssList(app(X2,X1)) ),
    c_0_37 ).

cnf(c_0_49,negated_conjecture,
    ( ~ ssList(X1)
    | app(sk3,X1) = cons(sk5,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).

cnf(c_0_50,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_51,plain,
    ( ~ duplicatefreeP(X4)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssItem(X1)
    | app(cons(X1,X2),cons(X1,X3)) != X4 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]),c_0_46]) ).

cnf(c_0_52,plain,
    ( ~ ssList(X1)
    | ssItem(X2)
    | duplicatefreeP(X1) ),
    c_0_47 ).

cnf(c_0_53,negated_conjecture,
    ( ~ ssList(X1)
    | ssList(cons(sk5,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).

cnf(c_0_54,plain,
    ( ~ duplicatefreeP(X3)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X1)
    | cons(X1,cons(X1,X2)) != X3 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_38]),c_0_45])]),c_0_46]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ ssList(X2)
    | duplicatefreeP(cons(sk5,X2))
    | ssItem(X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ duplicatefreeP(X1)
    | ~ ssList(X1)
    | cons(sk5,sk3) != X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_39]),c_0_40]),c_0_45])]) ).

cnf(c_0_57,negated_conjecture,
    ( duplicatefreeP(cons(sk5,sk3))
    | ssItem(X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_50]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ segmentP(sk1,X1)
    | ~ segmentP(sk2,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[co1_8]) ).

cnf(c_0_59,plain,
    ( ~ ssItem(X2)
    | ~ ssItem(X1)
    | X2 = X1
    | neq(X2,X1) ),
    inference(fof_simplification,[status(thm)],[clause102]) ).

cnf(c_0_60,negated_conjecture,
    ( ~ ssList(cons(sk5,sk3))
    | ssItem(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_61,plain,
    ( ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | app(app(X1,X2),X3) != X4
    | segmentP(X4,X2) ),
    inference(fof_simplification,[status(thm)],[clause173]) ).

cnf(c_0_62,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_63,plain,
    ( ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != X3
    | frontsegP(X3,X1) ),
    inference(fof_simplification,[status(thm)],[clause144]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ segmentP(sk1,X1)
    | ~ segmentP(sk2,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    c_0_58 ).

cnf(c_0_65,plain,
    ( ~ ssItem(X2)
    | ~ ssItem(X1)
    | X2 = X1
    | neq(X2,X1) ),
    c_0_59 ).

cnf(c_0_66,negated_conjecture,
    ssItem(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_46]),c_0_40]),c_0_50])]) ).

cnf(c_0_67,plain,
    ( ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | app(app(X1,X2),X3) != X4
    | segmentP(X4,X2) ),
    c_0_61 ).

cnf(c_0_68,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ frontsegP(X1,X2)
    | app(X2,skaf45(X1,X2)) = X1 ),
    inference(fof_simplification,[status(thm)],[clause132]) ).

cnf(c_0_69,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(app(X3,X2),X1) = app(X3,app(X2,X1)) ),
    c_0_62 ).

cnf(c_0_70,plain,
    ( ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2)
    | app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1 ),
    inference(fof_simplification,[status(thm)],[clause169]) ).

cnf(c_0_71,plain,
    ( ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != X3
    | frontsegP(X3,X1) ),
    c_0_63 ).

cnf(c_0_72,negated_conjecture,
    ( ~ ssList(X1)
    | ~ segmentP(sk4,X1)
    | ~ segmentP(sk3,X1)
    | ~ neq(X1,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_42]),c_0_28]) ).

cnf(c_0_73,plain,
    ( neq(X2,X1)
    | X1 = X2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66]),c_0_66])]) ).

cnf(c_0_74,plain,
    ( ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | app(X2,X3) != X1
    | segmentP(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_44]),c_0_45])]) ).

cnf(c_0_75,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ frontsegP(X1,X2)
    | app(X2,skaf45(X1,X2)) = X1 ),
    c_0_68 ).

cnf(c_0_76,axiom,
    ssList(skaf45(X1,X2)),
    clause51 ).

cnf(c_0_77,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X1)
    | app(X3,app(X2,X4)) != X1
    | segmentP(X1,X2) ),
    inference(spm,[status(thm)],[c_0_67,c_0_69]) ).

cnf(c_0_78,plain,
    ( ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2)
    | app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1 ),
    c_0_70 ).

cnf(c_0_79,negated_conjecture,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | cons(sk5,X2) != X1
    | frontsegP(X1,sk3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_49]),c_0_50])]) ).

cnf(c_0_80,plain,
    ( ~ ssList(X2)
    | ssList(cons(X1,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_66])]) ).

cnf(c_0_81,negated_conjecture,
    ( ~ neq(sk4,nil)
    | memberP(sk4,sk5) ),
    inference(fof_simplification,[status(thm)],[co1_12]) ).

cnf(c_0_82,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,X2) != nil ),
    inference(fof_simplification,[status(thm)],[clause98]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ ssList(X1)
    | ~ segmentP(sk4,X1)
    | ~ segmentP(sk3,X1)
    | nil = X1 ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_84,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X1,X2)
    | segmentP(X1,X2) ),
    inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76])])]) ).

cnf(c_0_85,negated_conjecture,
    ( ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | app(X2,cons(sk5,X3)) != X1
    | segmentP(X1,sk3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_49]),c_0_50])]) ).

cnf(c_0_86,plain,
    ( ~ ssList(X1)
    | ~ memberP(X1,X2)
    | app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_66])]) ).

cnf(c_0_87,axiom,
    ssList(skaf43(X1,X2)),
    clause52 ).

cnf(c_0_88,axiom,
    ssList(skaf42(X1,X2)),
    clause53 ).

cnf(c_0_89,negated_conjecture,
    ( ~ ssList(X1)
    | frontsegP(cons(sk5,X1),sk3) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_79]),c_0_80]) ).

cnf(c_0_90,negated_conjecture,
    ( ~ neq(sk4,nil)
    | memberP(sk4,sk5) ),
    c_0_81 ).

cnf(c_0_91,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_92,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,X2) != nil ),
    c_0_82 ).

cnf(c_0_93,negated_conjecture,
    ( ~ ssList(X1)
    | ~ segmentP(sk4,X1)
    | ~ frontsegP(sk3,X1)
    | nil = X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_50])]) ).

cnf(c_0_94,negated_conjecture,
    ( ~ ssList(X1)
    | ~ memberP(X1,sk5)
    | segmentP(X1,sk3) ),
    inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_88])])]) ).

cnf(c_0_95,negated_conjecture,
    frontsegP(sk3,sk3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_39]),c_0_45])]) ).

cnf(c_0_96,negated_conjecture,
    memberP(sk4,sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_32])]) ).

cnf(c_0_97,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_91,c_0_28]) ).

cnf(c_0_98,negated_conjecture,
    sk3 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_39]),c_0_40]),c_0_45])]) ).

cnf(c_0_99,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]),c_0_50]),c_0_96]),c_0_97])]),c_0_98]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC093-1 : 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 : n016.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 08:00:07 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.42  Running first-order theorem proving
% 0.14/0.42  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
% 2.85/0.87  % Version: 3.5.1
% 2.85/0.87  % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.85/0.87  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.85/0.87  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.85/0.87  % Starting new_bool_3 with 300s (1) cores
% 2.85/0.87  % Starting new_bool_1 with 300s (1) cores
% 2.85/0.87  % Starting sh5l with 300s (1) cores
% 2.85/0.87  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1958514 completed with status 0
% 2.85/0.87  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.85/0.87  % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.85/0.87  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.85/0.87  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.85/0.87  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.85/0.87  % No SInE strategy applied
% 2.85/0.87  % Search class: FGHSM-FSLM21-MFFFFFNN
% 2.85/0.87  % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 2.85/0.87  % Starting SubtermCWHack with 136s (1) cores
% 2.85/0.87  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.85/0.87  % Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 2.85/0.87  % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 2.85/0.87  % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 2.85/0.87  % G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with pid 1958525 completed with status 0
% 2.85/0.87  % Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN
% 2.85/0.87  % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.85/0.87  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.85/0.87  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.85/0.87  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.85/0.87  % No SInE strategy applied
% 2.85/0.87  % Search class: FGHSM-FSLM21-MFFFFFNN
% 2.85/0.87  % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 2.85/0.87  % Starting SubtermCWHack with 136s (1) cores
% 2.85/0.87  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.85/0.87  % Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 2.85/0.87  % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 2.85/0.87  % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 2.85/0.87  % Preprocessing time       : 0.005 s
% 2.85/0.87  
% 2.85/0.87  % Proof found!
% 2.85/0.87  % SZS status Unsatisfiable
% 2.85/0.87  % SZS output start CNFRefutation
% See solution above
% 2.85/0.87  % Parsed axioms                        : 197
% 2.85/0.87  % Removed by relevancy pruning/SinE    : 0
% 2.85/0.87  % Initial clauses                      : 197
% 2.85/0.87  % Removed in clause preprocessing      : 0
% 2.85/0.87  % Initial clauses in saturation        : 197
% 2.85/0.87  % Processed clauses                    : 1485
% 2.85/0.87  % ...of these trivial                  : 38
% 2.85/0.87  % ...subsumed                          : 513
% 2.85/0.87  % ...remaining for further processing  : 934
% 2.85/0.87  % Other redundant clauses eliminated   : 82
% 2.85/0.87  % Clauses deleted for lack of memory   : 0
% 2.85/0.87  % Backward-subsumed                    : 127
% 2.85/0.87  % Backward-rewritten                   : 148
% 2.85/0.87  % Generated clauses                    : 11898
% 2.85/0.87  % ...of the previous two non-redundant : 11123
% 2.85/0.87  % ...aggressively subsumed             : 0
% 2.85/0.87  % Contextual simplify-reflections      : 50
% 2.85/0.87  % Paramodulations                      : 11514
% 2.85/0.87  % Factorizations                       : 186
% 2.85/0.87  % NegExts                              : 0
% 2.85/0.87  % Equation resolutions                 : 197
% 2.85/0.87  % Disequality decompositions           : 0
% 2.85/0.87  % Total rewrite steps                  : 5861
% 2.85/0.87  % ...of those cached                   : 5512
% 2.85/0.87  % Propositional unsat checks           : 0
% 2.85/0.87  %    Propositional check models        : 0
% 2.85/0.87  %    Propositional check unsatisfiable : 0
% 2.85/0.87  %    Propositional clauses             : 0
% 2.85/0.87  %    Propositional clauses after purity: 0
% 2.85/0.87  %    Propositional unsat core size     : 0
% 2.85/0.87  %    Propositional preprocessing time  : 0.000
% 2.85/0.87  %    Propositional encoding time       : 0.000
% 2.85/0.87  %    Propositional solver time         : 0.000
% 2.85/0.87  %    Success case prop preproc time    : 0.000
% 2.85/0.87  %    Success case prop encoding time   : 0.000
% 2.85/0.87  %    Success case prop solver time     : 0.000
% 2.85/0.87  % Current number of processed clauses  : 653
% 2.85/0.87  %    Positive orientable unit clauses  : 79
% 2.85/0.87  %    Positive unorientable unit clauses: 0
% 2.85/0.87  %    Negative unit clauses             : 17
% 2.85/0.87  %    Non-unit-clauses                  : 557
% 2.85/0.87  % Current number of unprocessed clauses: 8927
% 2.85/0.87  % ...number of literals in the above   : 40161
% 2.85/0.87  % Current number of archived formulas  : 0
% 2.85/0.87  % Current number of archived clauses   : 276
% 2.85/0.87  % Clause-clause subsumption calls (NU) : 71453
% 2.85/0.87  % Rec. Clause-clause subsumption calls : 16812
% 2.85/0.87  % Non-unit clause-clause subsumptions  : 449
% 2.85/0.87  % Unit Clause-clause subsumption calls : 2236
% 2.85/0.87  % Rewrite failures with RHS unbound    : 0
% 2.85/0.87  % BW rewrite match attempts            : 41
% 2.85/0.87  % BW rewrite match successes           : 32
% 2.85/0.87  % Condensation attempts                : 0
% 2.85/0.87  % Condensation successes               : 0
% 2.85/0.87  % Termbank termtop insertions          : 202050
% 2.85/0.87  % Search garbage collected termcells   : 544
% 2.85/0.87  
% 2.85/0.87  % -------------------------------------------------
% 2.85/0.87  % User time                : 0.354 s
% 2.85/0.87  % System time              : 0.018 s
% 2.85/0.87  % Total time               : 0.372 s
% 2.85/0.87  % Maximum resident set size: 4068 pages
% 2.85/0.87  
% 2.85/0.87  % -------------------------------------------------
% 2.85/0.87  % User time                : 1.950 s
% 2.85/0.87  % System time              : 0.114 s
% 2.85/0.87  % Total time               : 2.064 s
% 2.85/0.87  % Maximum resident set size: 5120 pages
% 2.85/0.87  % E exiting
%------------------------------------------------------------------------------