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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWC390-1 : 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 : n013.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 02:44:12 PM UTC 2026

% Result   : Unsatisfiable 168.58s 30.34s
% Output   : CNFRefutation 168.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   38
% Syntax   : Number of formulae    :  174 (  39 unt;   0 def)
%            Number of atoms       :  471 ( 120 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  593 ( 296   ~; 295   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   3 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :  219 (  15 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_9,negated_conjecture,
    ( ~ neq(sk4,nil)
    | cons(sk5,nil) = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(co1_11,negated_conjecture,
    ( ~ segmentP(sk2,sk1)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

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

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

cnf(co1_7,negated_conjecture,
    ( nil != sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(co1_8,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(clause100,axiom,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | X2 = X1
    | neq(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).

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

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

cnf(clause56,axiom,
    ( ~ ssList(X1)
    | segmentP(X1,nil) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause56) ).

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

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

cnf(clause133,axiom,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | tl(app(X2,X1)) = app(tl(X2),X1)
    | nil = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause133) ).

cnf(clause104,axiom,
    ( ~ ssList(X1)
    | nil = X1
    | cons(hd(X1),tl(X1)) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).

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

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

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

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(clause145,axiom,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | nil != X2
    | nil != X1
    | app(X1,X2) = nil ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause145) ).

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

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

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

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

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

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

cnf(clause172,axiom,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ segmentP(X1,X2)
    | segmentP(app(app(X4,X1),X3),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause172) ).

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

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

cnf(co1_12,negated_conjecture,
    ( ~ singletonP(sk1)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(c_0_36,negated_conjecture,
    ( ~ neq(sk4,nil)
    | cons(sk5,nil) = sk3 ),
    inference(fof_simplification,[status(thm)],[co1_9]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ segmentP(sk2,sk1)
    | neq(sk2,nil) ),
    inference(fof_simplification,[status(thm)],[co1_11]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ neq(sk4,nil)
    | cons(sk5,nil) = sk3 ),
    c_0_36 ).

cnf(c_0_39,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_40,negated_conjecture,
    ( ~ segmentP(sk2,sk1)
    | neq(sk2,nil) ),
    c_0_37 ).

cnf(c_0_41,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_42,negated_conjecture,
    ( nil != sk4
    | nil = sk3 ),
    inference(fof_simplification,[status(thm)],[co1_7]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    inference(fof_simplification,[status(thm)],[co1_8]) ).

cnf(c_0_44,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | X2 = X1
    | neq(X2,X1) ),
    inference(fof_simplification,[status(thm)],[clause100]) ).

cnf(c_0_45,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_46,negated_conjecture,
    ( ~ neq(sk4,nil)
    | cons(sk5,nil) = sk1 ),
    inference(rw,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ segmentP(sk4,sk1)
    | neq(sk4,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41]),c_0_41]) ).

cnf(c_0_48,negated_conjecture,
    ( nil != sk4
    | nil = sk3 ),
    c_0_42 ).

cnf(c_0_49,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    c_0_43 ).

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

cnf(c_0_51,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_45,c_0_41]) ).

cnf(c_0_52,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_53,negated_conjecture,
    ( ~ segmentP(sk4,sk1)
    | cons(sk5,nil) = sk1 ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_54,negated_conjecture,
    ( sk4 != nil
    | sk1 = nil ),
    inference(rw,[status(thm)],[c_0_48,c_0_39]) ).

cnf(c_0_55,plain,
    ( ~ ssList(X1)
    | segmentP(X1,nil) ),
    inference(fof_simplification,[status(thm)],[clause56]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ segmentP(sk4,sk1)
    | ssItem(sk5) ),
    inference(spm,[status(thm)],[c_0_49,c_0_47]) ).

cnf(c_0_57,negated_conjecture,
    ( ssItem(sk5)
    | sk4 = nil ),
    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_58,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,X2) != nil ),
    inference(fof_simplification,[status(thm)],[clause98]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ segmentP(sk4,nil)
    | sk4 != nil
    | cons(sk5,nil) = nil ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_60,plain,
    ( ~ ssList(X1)
    | segmentP(X1,nil) ),
    c_0_55 ).

cnf(c_0_61,negated_conjecture,
    ( ~ segmentP(sk4,nil)
    | ssItem(sk5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_54]),c_0_57]) ).

cnf(c_0_62,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,X2) != nil ),
    c_0_58 ).

cnf(c_0_63,negated_conjecture,
    ( sk4 != nil
    | cons(sk5,nil) = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_51])]) ).

cnf(c_0_64,negated_conjecture,
    ssItem(sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_60]),c_0_51])]) ).

cnf(c_0_65,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | app(cons(X1,nil),X2) = cons(X1,X2) ),
    inference(fof_simplification,[status(thm)],[clause120]) ).

cnf(c_0_66,negated_conjecture,
    ( sk4 = nil
    | cons(sk5,nil) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_50]),c_0_51]),c_0_52])]) ).

cnf(c_0_67,negated_conjecture,
    sk4 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_52])]) ).

cnf(c_0_68,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | tl(cons(X1,X2)) = X2 ),
    inference(fof_simplification,[status(thm)],[clause96]) ).

cnf(c_0_69,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | tl(app(X2,X1)) = app(tl(X2),X1)
    | nil = X2 ),
    inference(fof_simplification,[status(thm)],[clause133]) ).

cnf(c_0_70,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | app(cons(X1,nil),X2) = cons(X1,X2) ),
    c_0_65 ).

cnf(c_0_71,negated_conjecture,
    cons(sk5,nil) = sk1,
    inference(sr,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_72,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | tl(cons(X1,X2)) = X2 ),
    c_0_68 ).

cnf(c_0_73,plain,
    ( ~ ssList(X1)
    | nil = X1
    | cons(hd(X1),tl(X1)) = X1 ),
    inference(fof_simplification,[status(thm)],[clause104]) ).

cnf(c_0_74,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | hd(cons(X1,X2)) = X1 ),
    inference(fof_simplification,[status(thm)],[clause97]) ).

cnf(c_0_75,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | ssList(cons(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_76,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | tl(app(X2,X1)) = app(tl(X2),X1)
    | nil = X2 ),
    c_0_69 ).

cnf(c_0_77,negated_conjecture,
    ( ~ ssList(X1)
    | app(sk1,X1) = cons(sk5,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_64])]) ).

cnf(c_0_78,negated_conjecture,
    tl(sk1) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_71]),c_0_64]),c_0_52])]) ).

cnf(c_0_79,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_80,negated_conjecture,
    sk1 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_71]),c_0_64]),c_0_52])]) ).

cnf(c_0_81,plain,
    ( ~ ssList(X1)
    | nil = X1
    | cons(hd(X1),tl(X1)) = X1 ),
    c_0_73 ).

cnf(c_0_82,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | hd(cons(X1,X2)) = X1 ),
    c_0_74 ).

cnf(c_0_83,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | ssList(cons(X1,X2)) ),
    c_0_75 ).

cnf(c_0_84,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_85,negated_conjecture,
    ( ~ ssList(X1)
    | tl(cons(sk5,X1)) = app(nil,X1) ),
    inference(sr,[status(thm)],[inference(cn,[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_80]) ).

cnf(c_0_86,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,tl(cons(X1,X2))) = cons(X1,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_62]) ).

cnf(c_0_87,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | nil != X2
    | nil != X1
    | app(X1,X2) = nil ),
    inference(fof_simplification,[status(thm)],[clause145]) ).

cnf(c_0_88,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,app(X2,X3)) = app(cons(X1,X2),X3) ),
    c_0_84 ).

cnf(c_0_89,negated_conjecture,
    app(nil,nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_71]),c_0_78]),c_0_52])]) ).

cnf(c_0_90,negated_conjecture,
    ( ~ ssList(X1)
    | cons(sk5,app(nil,X1)) = cons(sk5,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_85]),c_0_64])]) ).

cnf(c_0_91,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | nil != X2
    | nil != X1
    | app(X1,X2) = nil ),
    c_0_87 ).

cnf(c_0_92,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ssList(app(X2,X1)) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_93,negated_conjecture,
    ( ~ ssItem(X1)
    | app(cons(X1,nil),nil) = cons(X1,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_52])]) ).

cnf(c_0_94,negated_conjecture,
    ( ~ ssList(X1)
    | nil != X1
    | cons(sk5,X1) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_71]),c_0_52])]) ).

cnf(c_0_95,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ssList(app(X2,X1)) ),
    c_0_92 ).

cnf(c_0_96,negated_conjecture,
    app(sk1,nil) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_64]),c_0_52])]) ).

cnf(c_0_97,plain,
    ( ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X1)
    | tl(app(cons(X1,X2),X3)) = app(X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_88]),c_0_95]) ).

cnf(c_0_98,negated_conjecture,
    ( ~ ssItem(X1)
    | app(cons(X1,sk1),nil) = cons(X1,sk1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_96]),c_0_52]),c_0_79])]) ).

cnf(c_0_99,negated_conjecture,
    ( ~ ssItem(X1)
    | tl(cons(X1,sk1)) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_96]),c_0_52]),c_0_79])]) ).

cnf(c_0_100,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_101,negated_conjecture,
    app(nil,sk1) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_99]),c_0_79]),c_0_64])]) ).

cnf(c_0_102,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssList(X3)
    | X1 != X2
    | memberP(cons(X2,X3),X1) ),
    inference(fof_simplification,[status(thm)],[clause138]) ).

cnf(c_0_103,plain,
    ( ~ ssList(X1)
    | ~ singletonP(X1)
    | cons(skaf44(X1),nil) = X1 ),
    inference(fof_simplification,[status(thm)],[clause101]) ).

cnf(c_0_104,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,nil) != X2
    | singletonP(X2) ),
    inference(fof_simplification,[status(thm)],[clause116]) ).

cnf(c_0_105,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(app(X3,X2),X1) = app(X3,app(X2,X1)) ),
    c_0_100 ).

cnf(c_0_106,negated_conjecture,
    ( ~ ssItem(X1)
    | app(cons(X1,nil),sk1) = cons(X1,sk1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_101]),c_0_79]),c_0_52])]) ).

cnf(c_0_107,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssList(X3)
    | X1 != X2
    | memberP(cons(X2,X3),X1) ),
    c_0_102 ).

cnf(c_0_108,plain,
    ( ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X1)
    | ssList(app(cons(X1,X2),X3)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_88]),c_0_95]) ).

cnf(c_0_109,plain,
    ( ~ ssList(X1)
    | ~ singletonP(X1)
    | cons(skaf44(X1),nil) = X1 ),
    c_0_103 ).

cnf(c_0_110,axiom,
    ssItem(skaf44(X1)),
    clause47 ).

cnf(c_0_111,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,nil) != X2
    | singletonP(X2) ),
    c_0_104 ).

cnf(c_0_112,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_113,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_114,negated_conjecture,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | app(sk1,app(X1,X2)) = app(cons(sk5,X1),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_77]),c_0_79])]) ).

cnf(c_0_115,negated_conjecture,
    app(sk1,sk1) = cons(sk5,sk1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_94]),c_0_64]),c_0_52])]) ).

cnf(c_0_116,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | memberP(cons(X1,X2),X1) ),
    inference(er,[status(thm)],[c_0_107]) ).

cnf(c_0_117,negated_conjecture,
    ( ~ ssItem(X1)
    | ssList(cons(X1,sk1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_98]),c_0_52]),c_0_79])]) ).

cnf(c_0_118,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ singletonP(X1)
    | cons(skaf44(X1),X2) = app(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_109]),c_0_110])]) ).

cnf(c_0_119,plain,
    ( ~ ssList(cons(X1,nil))
    | ~ ssItem(X1)
    | singletonP(cons(X1,nil)) ),
    inference(er,[status(thm)],[c_0_111]) ).

cnf(c_0_120,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_112 ).

cnf(c_0_121,plain,
    ( ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2)
    | app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1 ),
    c_0_113 ).

cnf(c_0_122,axiom,
    ssList(skaf43(X1,X2)),
    clause52 ).

cnf(c_0_123,axiom,
    ssList(skaf42(X1,X2)),
    clause53 ).

cnf(c_0_124,negated_conjecture,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | app(cons(X1,sk1),X2) = cons(X1,cons(sk5,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_77]),c_0_79])]) ).

cnf(c_0_125,negated_conjecture,
    app(cons(sk5,sk1),sk1) = app(sk1,cons(sk5,sk1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_79])]) ).

cnf(c_0_126,negated_conjecture,
    ( memberP(sk1,sk5)
    | sk4 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_66]),c_0_64]),c_0_52])]) ).

cnf(c_0_127,negated_conjecture,
    ( ~ ssList(X1)
    | ~ singletonP(X1)
    | ssList(app(X1,sk1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_110]),c_0_79])]) ).

cnf(c_0_128,negated_conjecture,
    singletonP(sk1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_71]),c_0_64]),c_0_79])]) ).

cnf(c_0_129,plain,
    ( ~ duplicatefreeP(X4)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2)
    | app(X1,cons(X2,X3)) != X4 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]),c_0_123])]) ).

cnf(c_0_130,negated_conjecture,
    app(sk1,cons(sk5,sk1)) = cons(sk5,cons(sk5,sk1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_64]),c_0_79])]) ).

cnf(c_0_131,negated_conjecture,
    memberP(sk1,sk5),
    inference(sr,[status(thm)],[c_0_126,c_0_67]) ).

fof(c_0_132,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( ~ ssList(X1)
        | duplicatefreeP(X1) ) ),
    introduced(definition) ).

cnf(c_0_133,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ssList(app(X1,app(X2,X3))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_105]),c_0_95]) ).

cnf(c_0_134,negated_conjecture,
    ssList(app(sk1,sk1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_79])]) ).

cnf(c_0_135,plain,
    ( ~ ssList(X1)
    | ssItem(X2)
    | duplicatefreeP(X1) ),
    inference(fof_simplification,[status(thm)],[clause72]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ duplicatefreeP(X1)
    | ~ ssList(X1)
    | cons(sk5,cons(sk5,sk1)) != X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]),c_0_64]),c_0_79])]) ).

cnf(c_0_137,plain,
    ( ~ ssList(X1)
    | duplicatefreeP(X1)
    | epred2_0 ),
    inference(split_equiv,[status(thm)],[c_0_132]) ).

cnf(c_0_138,negated_conjecture,
    ( ~ ssList(X1)
    | ssList(app(X1,cons(sk5,sk1))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_115]),c_0_79])]) ).

cnf(c_0_139,negated_conjecture,
    ssList(cons(sk5,sk1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_77]),c_0_79])]) ).

fof(c_0_140,plain,
    ( ~ epred1_0
  <=> ! [X2] : ssItem(X2) ),
    introduced(definition) ).

cnf(c_0_141,plain,
    ( ~ ssList(X1)
    | ssItem(X2)
    | duplicatefreeP(X1) ),
    c_0_135 ).

cnf(c_0_142,negated_conjecture,
    ( ~ ssList(X1)
    | cons(sk5,cons(sk5,sk1)) != X1
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_143,negated_conjecture,
    ssList(cons(sk5,cons(sk5,sk1))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_77]),c_0_79]),c_0_139])]) ).

cnf(c_0_144,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ segmentP(X1,X2)
    | segmentP(app(app(X4,X1),X3),X2) ),
    inference(fof_simplification,[status(thm)],[clause172]) ).

cnf(c_0_145,plain,
    ( ~ epred1_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_141,c_0_140]),c_0_132]) ).

cnf(c_0_146,negated_conjecture,
    epred2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_142]),c_0_143])]) ).

cnf(c_0_147,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ segmentP(X1,X2)
    | segmentP(app(app(X4,X1),X3),X2) ),
    c_0_144 ).

cnf(c_0_148,plain,
    ( ssItem(X1)
    | epred1_0 ),
    inference(split_equiv,[status(thm)],[c_0_140]) ).

cnf(c_0_149,plain,
    ~ epred1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_146])]) ).

cnf(c_0_150,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_151,plain,
    ( ~ ssList(X1)
    | app(nil,X1) = X1 ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_152,negated_conjecture,
    ( ~ neq(sk4,nil)
    | memberP(sk4,sk5) ),
    inference(fof_simplification,[status(thm)],[co1_10]) ).

cnf(c_0_153,negated_conjecture,
    ( ~ singletonP(sk1)
    | ~ segmentP(sk2,sk1) ),
    inference(fof_simplification,[status(thm)],[co1_12]) ).

cnf(c_0_154,plain,
    ( ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ segmentP(X2,X4)
    | segmentP(app(X1,app(X2,X3)),X4) ),
    inference(spm,[status(thm)],[c_0_147,c_0_105]) ).

cnf(c_0_155,plain,
    ssItem(X1),
    inference(sr,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_156,plain,
    ( ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | app(app(X1,X2),X3) != X4
    | segmentP(X4,X2) ),
    c_0_150 ).

cnf(c_0_157,plain,
    ( ~ ssList(X1)
    | app(nil,X1) = X1 ),
    c_0_151 ).

cnf(c_0_158,negated_conjecture,
    ( ~ neq(sk4,nil)
    | memberP(sk4,sk5) ),
    c_0_152 ).

cnf(c_0_159,negated_conjecture,
    ( ~ singletonP(sk1)
    | ~ segmentP(sk2,sk1) ),
    c_0_153 ).

cnf(c_0_160,negated_conjecture,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ segmentP(sk1,X3)
    | segmentP(app(X1,cons(sk5,X2)),X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_77]),c_0_79])]) ).

cnf(c_0_161,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_121,c_0_155])]) ).

cnf(c_0_162,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_156,c_0_157]),c_0_52])]) ).

cnf(c_0_163,negated_conjecture,
    ( ~ segmentP(sk4,sk1)
    | memberP(sk4,sk5) ),
    inference(spm,[status(thm)],[c_0_158,c_0_47]) ).

cnf(c_0_164,negated_conjecture,
    ( memberP(sk4,sk5)
    | sk4 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_50]),c_0_51]),c_0_52])]) ).

cnf(c_0_165,negated_conjecture,
    ( ~ singletonP(sk1)
    | ~ segmentP(sk4,sk1) ),
    inference(rw,[status(thm)],[c_0_159,c_0_41]) ).

cnf(c_0_166,negated_conjecture,
    ( ~ ssList(X1)
    | sk1 != X1
    | singletonP(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_71]),c_0_64])]) ).

cnf(c_0_167,negated_conjecture,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ segmentP(sk1,X2)
    | ~ memberP(X1,sk5)
    | segmentP(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_123]),c_0_122])]) ).

cnf(c_0_168,negated_conjecture,
    ( ~ ssList(X1)
    | sk1 != X1
    | segmentP(X1,sk1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_96]),c_0_52]),c_0_79])]) ).

cnf(c_0_169,negated_conjecture,
    ( ~ segmentP(sk4,nil)
    | memberP(sk4,sk5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_54]),c_0_164]) ).

cnf(c_0_170,negated_conjecture,
    ~ segmentP(sk4,sk1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_79])]) ).

cnf(c_0_171,negated_conjecture,
    ( ~ ssList(X1)
    | ~ memberP(X1,sk5)
    | segmentP(X1,sk1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_79])]) ).

cnf(c_0_172,negated_conjecture,
    memberP(sk4,sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_60]),c_0_51])]) ).

cnf(c_0_173,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]),c_0_51])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWC390-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/5.66  % Computer : n013.cluster.edu
% 0.18/5.66  % Model    : x86_64 x86_64
% 0.18/5.66  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.66  % Memory   : 8046.5625MB
% 0.18/5.66  % OS       : Linux 6.8.0-71-generic
% 0.18/5.66  % CPULimit : 300
% 0.18/5.66  % WCLimit  : 300
% 0.18/5.66  % DateTime : Mon Sep 21 08:20:29 UTC 2026
% 0.18/5.67  % CPUTime  : 
% 0.18/5.67  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/5.73  Running first-order theorem proving
% 0.24/5.73  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
% 168.58/30.34  % Version: 3.5.1
% 168.58/30.34  % Preprocessing class: FSLSSMSMSSSNFFN.
% 168.58/30.34  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 168.58/30.34  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 168.58/30.34  % Starting new_bool_3 with 300s (1) cores
% 168.58/30.34  % Starting new_bool_1 with 300s (1) cores
% 168.58/30.34  % Starting sh5l with 300s (1) cores
% 168.58/30.34  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 347092 completed with status 0
% 168.58/30.34  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 168.58/30.34  % Preprocessing class: FSLSSMSMSSSNFFN.
% 168.58/30.34  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 168.58/30.34  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 168.58/30.34  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 168.58/30.34  % No SInE strategy applied
% 168.58/30.34  % Search class: FGHSM-FSLM21-MFFFFFNN
% 168.58/30.34  % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 168.58/30.34  % Starting SubtermCWHack with 136s (1) cores
% 168.58/30.34  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 168.58/30.34  % Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 168.58/30.34  % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 168.58/30.34  % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 168.58/30.34  % G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with pid 347100 completed with status 0
% 168.58/30.34  % Result found by G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y
% 168.58/30.34  % Preprocessing class: FSLSSMSMSSSNFFN.
% 168.58/30.34  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 168.58/30.34  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 168.58/30.34  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 168.58/30.34  % No SInE strategy applied
% 168.58/30.34  % Search class: FGHSM-FSLM21-MFFFFFNN
% 168.58/30.34  % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 168.58/30.34  % Starting SubtermCWHack with 136s (1) cores
% 168.58/30.34  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 168.58/30.34  % Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 168.58/30.34  % Preprocessing time       : 0.006 s
% 168.58/30.34  % Presaturation interreduction done
% 168.58/30.34  
% 168.58/30.34  % Proof found!
% 168.58/30.34  % SZS status Unsatisfiable
% 168.58/30.34  % SZS output start CNFRefutation
% See solution above
% 168.58/30.35  % Parsed axioms                        : 197
% 168.58/30.35  % Removed by relevancy pruning/SinE    : 0
% 168.58/30.35  % Initial clauses                      : 197
% 168.58/30.35  % Removed in clause preprocessing      : 0
% 168.58/30.35  % Initial clauses in saturation        : 197
% 168.58/30.35  % Processed clauses                    : 27394
% 168.58/30.35  % ...of these trivial                  : 531
% 168.58/30.35  % ...subsumed                          : 21470
% 168.58/30.35  % ...remaining for further processing  : 5393
% 168.58/30.35  % Other redundant clauses eliminated   : 6389
% 168.58/30.35  % Clauses deleted for lack of memory   : 0
% 168.58/30.35  % Backward-subsumed                    : 645
% 168.58/30.35  % Backward-rewritten                   : 778
% 168.58/30.35  % Generated clauses                    : 550963
% 168.58/30.35  % ...of the previous two non-redundant : 521627
% 168.58/30.35  % ...aggressively subsumed             : 0
% 168.58/30.35  % Contextual simplify-reflections      : 1284
% 168.58/30.35  % Paramodulations                      : 543955
% 168.58/30.35  % Factorizations                       : 0
% 168.58/30.35  % NegExts                              : 0
% 168.58/30.35  % Equation resolutions                 : 6929
% 168.58/30.35  % Disequality decompositions           : 0
% 168.58/30.35  % Total rewrite steps                  : 365813
% 168.58/30.35  % ...of those cached                   : 360663
% 168.58/30.35  % Propositional unsat checks           : 0
% 168.58/30.35  %    Propositional check models        : 0
% 168.58/30.35  %    Propositional check unsatisfiable : 0
% 168.58/30.35  %    Propositional clauses             : 0
% 168.58/30.35  %    Propositional clauses after purity: 0
% 168.58/30.35  %    Propositional unsat core size     : 0
% 168.58/30.35  %    Propositional preprocessing time  : 0.000
% 168.58/30.35  %    Propositional encoding time       : 0.000
% 168.58/30.35  %    Propositional solver time         : 0.000
% 168.58/30.35  %    Success case prop preproc time    : 0.000
% 168.58/30.35  %    Success case prop encoding time   : 0.000
% 168.58/30.35  %    Success case prop solver time     : 0.000
% 168.58/30.35  % Current number of processed clauses  : 3734
% 168.58/30.35  %    Positive orientable unit clauses  : 253
% 168.58/30.35  %    Positive unorientable unit clauses: 0
% 168.58/30.35  %    Negative unit clauses             : 194
% 168.58/30.35  %    Non-unit-clauses                  : 3287
% 168.58/30.35  % Current number of unprocessed clauses: 489020
% 168.58/30.35  % ...number of literals in the above   : 4351702
% 168.58/30.35  % Current number of archived formulas  : 0
% 168.58/30.35  % Current number of archived clauses   : 1619
% 168.58/30.35  % Clause-clause subsumption calls (NU) : 3146849
% 168.58/30.35  % Rec. Clause-clause subsumption calls : 339317
% 168.58/30.35  % Non-unit clause-clause subsumptions  : 11862
% 168.58/30.35  % Unit Clause-clause subsumption calls : 76242
% 168.58/30.35  % Rewrite failures with RHS unbound    : 0
% 168.58/30.35  % BW rewrite match attempts            : 473
% 168.58/30.35  % BW rewrite match successes           : 152
% 168.58/30.35  % Condensation attempts                : 0
% 168.58/30.35  % Condensation successes               : 0
% 168.58/30.35  % Termbank termtop insertions          : 15279944
% 168.58/30.35  % Search garbage collected termcells   : 541
% 168.58/30.35  
% 168.58/30.35  % -------------------------------------------------
% 168.58/30.35  % User time                : 23.468 s
% 168.58/30.35  % System time              : 0.612 s
% 168.58/30.35  % Total time               : 24.080 s
% 168.58/30.35  % Maximum resident set size: 3812 pages
% 168.58/30.35  
% 168.58/30.35  % -------------------------------------------------
% 168.58/30.35  % User time                : 116.305 s
% 168.58/30.35  % System time              : 3.428 s
% 168.58/30.35  % Total time               : 119.733 s
% 168.58/30.35  % Maximum resident set size: 4864 pages
% 168.58/30.35  % E exiting
%------------------------------------------------------------------------------