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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWC155-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 02:43:15 PM UTC 2026

% Result   : Unsatisfiable 21.12s 3.75s
% Output   : CNFRefutation 21.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :   43
% Syntax   : Number of clauses     :  252 (  68 unt;  17 nHn; 235 RR)
%            Number of literals    :  709 ( 190 equ; 460 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   9 con; 0-2 aty)
%            Number of variables   :  314 (  20 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause149,axiom,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(app(X3,X2),X1) = app(X3,app(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause149) ).

cnf(co1_14,negated_conjecture,
    app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

cnf(co1_11,negated_conjecture,
    ssList(sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

cnf(co1_12,negated_conjecture,
    ssList(sk8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

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

cnf(co1_9,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

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

cnf(clause120,axiom,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | app(cons(X1,nil),X2) = cons(X1,X2) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SWC001-0.ax',clause179) ).

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

cnf(co1_10,negated_conjecture,
    ssItem(sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

cnf(clause104,axiom,
    ( ~ ssList(X1)
    | nil = X1
    | cons(hd(X1),tl(X1)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).

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

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

cnf(co1_13,negated_conjecture,
    ssList(sk9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

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

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

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

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

cnf(clause98,axiom,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,X2) != nil ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause98) ).

cnf(clause157,axiom,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,app(X2,X3)) = app(cons(X1,X2),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause157) ).

cnf(clause145,axiom,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | nil != X2
    | nil != X1
    | app(X1,X2) = nil ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause145) ).

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

cnf(clause150,axiom,
    ( ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != app(X1,X3)
    | X2 = X3 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause150) ).

cnf(clause144,axiom,
    ( ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != X3
    | frontsegP(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause144) ).

cnf(clause143,axiom,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(X1,X2) != X3
    | rearsegP(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause143) ).

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

cnf(clause132,axiom,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ frontsegP(X1,X2)
    | app(X2,skaf45(X1,X2)) = 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(clause51,axiom,
    ssList(skaf45(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).

cnf(clause151,axiom,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(X1,X2) != app(X3,X2)
    | X1 = X3 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause151) ).

cnf(clause131,axiom,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ rearsegP(X1,X2)
    | app(skaf46(X1,X2),X2) = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause131) ).

cnf(clause175,axiom,
    ( ~ ssList(X4)
    | ~ ssItem(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | app(X1,cons(X2,X3)) != X4
    | memberP(X4,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause175) ).

cnf(clause50,axiom,
    ssList(skaf46(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause50) ).

cnf(co1_7,negated_conjecture,
    ( ~ memberP(X3,X4)
    | ~ ssItem(X4)
    | app(app(X2,cons(X1,nil)),X3) != sk3
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | leq(X1,X4) ),
    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(clause141,axiom,
    ( ~ ssItem(X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ memberP(X1,X2)
    | memberP(app(X3,X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause141) ).

cnf(co1_17,negated_conjecture,
    ( ~ leq(sk5,sk6)
    | memberP(sk8,sk10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).

cnf(clause130,axiom,
    ( ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ leq(X2,X1)
    | ~ leq(X1,X2)
    | X2 = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause130) ).

cnf(clause140,axiom,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ memberP(X1,X2)
    | memberP(app(X1,X3),X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause140) ).

cnf(co1_15,negated_conjecture,
    leq(sk6,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

cnf(co1_8,negated_conjecture,
    ( ~ memberP(X2,X4)
    | ~ ssItem(X4)
    | app(app(X2,cons(X1,nil)),X3) != sk3
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | leq(X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(co1_18,negated_conjecture,
    ( ~ leq(sk5,sk6)
    | ~ leq(sk10,sk6)
    | ~ leq(sk5,sk10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

cnf(c_0_43,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_44,negated_conjecture,
    app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
    co1_14 ).

cnf(c_0_45,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(app(X3,X2),X1) = app(X3,app(X2,X1)) ),
    c_0_43 ).

cnf(c_0_46,negated_conjecture,
    ssList(sk7),
    co1_11 ).

cnf(c_0_47,negated_conjecture,
    ssList(sk8),
    co1_12 ).

cnf(c_0_48,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | ssList(cons(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_49,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_44,c_0_45]),c_0_46]),c_0_47])]) ).

cnf(c_0_50,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | ssList(cons(X1,X2)) ),
    c_0_48 ).

cnf(c_0_51,negated_conjecture,
    ssItem(sk5),
    co1_9 ).

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

cnf(c_0_53,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | app(cons(X1,nil),X2) = cons(X1,X2) ),
    inference(fof_simplification,[status(thm)],[clause120]) ).

cnf(c_0_54,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_49,c_0_50]),c_0_51]),c_0_52])]) ).

cnf(c_0_55,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | app(cons(X1,nil),X2) = cons(X1,X2) ),
    c_0_53 ).

cnf(c_0_56,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_57,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_54,c_0_55]),c_0_51]),c_0_47])]) ).

cnf(c_0_58,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_56 ).

cnf(c_0_59,plain,
    ( ~ ssList(X1)
    | app(nil,X1) = X1 ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_60,negated_conjecture,
    ( ~ ssList(cons(sk6,nil))
    | ~ ssList(cons(sk5,sk8))
    | app(app(sk7,app(cons(sk5,sk8),cons(sk6,nil))),sk9) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_45]),c_0_46])]) ).

cnf(c_0_61,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_58]) ).

cnf(c_0_62,plain,
    ( ~ ssList(X1)
    | app(nil,X1) = X1 ),
    c_0_59 ).

cnf(c_0_63,negated_conjecture,
    ( ~ ssList(cons(sk6,nil))
    | app(app(sk7,app(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_60,c_0_50]),c_0_51]),c_0_47])]) ).

cnf(c_0_64,negated_conjecture,
    ssItem(sk6),
    co1_10 ).

cnf(c_0_65,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_61,c_0_62]),c_0_52])]),c_0_50]) ).

cnf(c_0_66,plain,
    ( ~ ssList(X1)
    | nil = X1
    | cons(hd(X1),tl(X1)) = X1 ),
    inference(fof_simplification,[status(thm)],[clause104]) ).

cnf(c_0_67,plain,
    ( ~ ssList(X1)
    | nil = X1
    | ssList(tl(X1)) ),
    inference(fof_simplification,[status(thm)],[clause75]) ).

cnf(c_0_68,plain,
    ( ~ ssList(X1)
    | nil = X1
    | ssItem(hd(X1)) ),
    inference(fof_simplification,[status(thm)],[clause76]) ).

cnf(c_0_69,negated_conjecture,
    app(app(sk7,app(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_63,c_0_50]),c_0_64]),c_0_52])]) ).

cnf(c_0_70,negated_conjecture,
    ssList(sk9),
    co1_13 ).

cnf(c_0_71,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ssList(app(X2,X1)) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_72,plain,
    ( ~ duplicatefreeP(cons(X1,cons(X1,X2)))
    | ~ ssList(X2)
    | ~ ssList(cons(X1,cons(X1,X2)))
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_55]),c_0_52])]),c_0_50]) ).

cnf(c_0_73,plain,
    ( ~ ssList(X1)
    | nil = X1
    | cons(hd(X1),tl(X1)) = X1 ),
    c_0_66 ).

cnf(c_0_74,plain,
    ( ~ ssList(X1)
    | nil = X1
    | ssList(tl(X1)) ),
    c_0_67 ).

cnf(c_0_75,plain,
    ( ~ ssList(X1)
    | nil = X1
    | ssItem(hd(X1)) ),
    c_0_68 ).

cnf(c_0_76,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | hd(app(X2,X1)) = hd(X2)
    | nil = X2 ),
    inference(fof_simplification,[status(thm)],[clause123]) ).

cnf(c_0_77,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != nil
    | nil = X1 ),
    inference(fof_simplification,[status(thm)],[clause118]) ).

cnf(c_0_78,negated_conjecture,
    ( ~ ssList(app(cons(sk5,sk8),cons(sk6,nil)))
    | app(sk7,app(app(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_45,c_0_69]),c_0_46]),c_0_70])]) ).

cnf(c_0_79,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ssList(app(X2,X1)) ),
    c_0_71 ).

cnf(c_0_80,plain,
    ( ~ duplicatefreeP(cons(hd(X1),X1))
    | ~ ssList(X1)
    | nil = X1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),c_0_50]),c_0_75]) ).

cnf(c_0_81,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | hd(app(X2,X1)) = hd(X2)
    | nil = X2 ),
    c_0_76 ).

cnf(c_0_82,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != nil
    | nil = X1 ),
    c_0_77 ).

cnf(c_0_83,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | hd(cons(X1,X2)) = X1 ),
    inference(fof_simplification,[status(thm)],[clause97]) ).

cnf(c_0_84,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,X2) != nil ),
    inference(fof_simplification,[status(thm)],[clause98]) ).

cnf(c_0_85,negated_conjecture,
    ( ~ ssList(cons(sk6,nil))
    | ~ ssList(cons(sk5,sk8))
    | app(sk7,app(app(cons(sk5,sk8),cons(sk6,nil)),sk9)) = sk1 ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_86,plain,
    ( ~ duplicatefreeP(cons(hd(X1),app(X1,X2)))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | nil = X1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_79]),c_0_82]) ).

cnf(c_0_87,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | hd(cons(X1,X2)) = X1 ),
    c_0_83 ).

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

cnf(c_0_89,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_90,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | nil != X2
    | nil != X1
    | app(X1,X2) = nil ),
    inference(fof_simplification,[status(thm)],[clause145]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ ssList(cons(sk6,nil))
    | app(sk7,app(app(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_85,c_0_50]),c_0_51]),c_0_47])]) ).

cnf(c_0_92,plain,
    ( ~ duplicatefreeP(cons(X1,app(cons(X1,X3),X2)))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_50]),c_0_88]) ).

cnf(c_0_93,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,app(X2,X3)) = app(cons(X1,X2),X3) ),
    c_0_89 ).

cnf(c_0_94,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | nil != X2
    | nil != X1
    | app(X1,X2) = nil ),
    c_0_90 ).

cnf(c_0_95,plain,
    ( ~ ssList(X1)
    | ssItem(X2)
    | duplicatefreeP(X1) ),
    inference(fof_simplification,[status(thm)],[clause72]) ).

cnf(c_0_96,negated_conjecture,
    app(sk7,app(app(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_91,c_0_50]),c_0_64]),c_0_52])]) ).

cnf(c_0_97,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_45,c_0_57]),c_0_70])]) ).

cnf(c_0_98,plain,
    ( ~ duplicatefreeP(cons(X1,cons(X1,app(X3,X2))))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_99,plain,
    app(nil,nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_94])]),c_0_52])]) ).

cnf(c_0_100,plain,
    ( ~ ssList(X1)
    | ssItem(X2)
    | duplicatefreeP(X1) ),
    c_0_95 ).

cnf(c_0_101,negated_conjecture,
    ( ~ ssList(cons(sk6,nil))
    | app(sk7,app(cons(sk5,app(sk8,cons(sk6,nil))),sk9)) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_93]),c_0_51]),c_0_47])]) ).

cnf(c_0_102,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_50]),c_0_64]),c_0_52])]) ).

cnf(c_0_103,plain,
    ( ~ duplicatefreeP(cons(X1,cons(X1,nil)))
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_52])]) ).

cnf(c_0_104,plain,
    ( ~ ssList(X3)
    | ~ ssItem(X2)
    | duplicatefreeP(cons(X2,X3))
    | ssItem(X1) ),
    inference(spm,[status(thm)],[c_0_100,c_0_50]) ).

cnf(c_0_105,negated_conjecture,
    app(sk7,app(cons(sk5,app(sk8,cons(sk6,nil))),sk9)) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_50]),c_0_64]),c_0_52])]) ).

cnf(c_0_106,plain,
    ( ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != app(X1,X3)
    | X2 = X3 ),
    inference(fof_simplification,[status(thm)],[clause150]) ).

cnf(c_0_107,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_102,c_0_79]),c_0_46])]) ).

cnf(c_0_108,plain,
    ( ~ ssList(cons(X2,nil))
    | ~ ssItem(X2)
    | ssItem(X1) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_109,negated_conjecture,
    ( ~ ssList(app(sk8,cons(sk6,nil)))
    | app(sk7,cons(sk5,app(app(sk8,cons(sk6,nil)),sk9))) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_93]),c_0_51]),c_0_70])]) ).

cnf(c_0_110,plain,
    ( ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != app(X1,X3)
    | X2 = X3 ),
    c_0_106 ).

cnf(c_0_111,negated_conjecture,
    app(app(sk7,cons(sk5,sk8)),app(cons(sk6,nil),sk9)) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_50]),c_0_51]),c_0_47])]) ).

cnf(c_0_112,plain,
    ( ~ ssItem(X2)
    | ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_50]),c_0_52])]) ).

cnf(c_0_113,negated_conjecture,
    ( ~ ssList(cons(sk6,nil))
    | app(sk7,cons(sk5,app(app(sk8,cons(sk6,nil)),sk9))) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_79]),c_0_47])]) ).

cnf(c_0_114,negated_conjecture,
    ( ~ ssList(X1)
    | ~ ssList(app(sk7,cons(sk5,sk8)))
    | ~ ssList(app(cons(sk6,nil),sk9))
    | app(app(sk7,cons(sk5,sk8)),X1) != sk1
    | app(cons(sk6,nil),sk9) = X1 ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_115,negated_conjecture,
    app(app(sk7,cons(sk5,sk8)),cons(sk6,sk9)) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_55]),c_0_64]),c_0_70])]) ).

cnf(c_0_116,negated_conjecture,
    ssItem(X1),
    inference(spm,[status(thm)],[c_0_112,c_0_64]) ).

cnf(c_0_117,negated_conjecture,
    app(sk7,cons(sk5,app(app(sk8,cons(sk6,nil)),sk9))) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_50]),c_0_64]),c_0_52])]) ).

cnf(c_0_118,negated_conjecture,
    ( ~ ssList(cons(sk6,sk9))
    | ~ ssList(app(sk7,cons(sk5,sk8)))
    | ~ ssList(app(cons(sk6,nil),sk9))
    | app(cons(sk6,nil),sk9) = cons(sk6,sk9) ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_119,plain,
    ( ~ ssList(X2)
    | ssList(cons(X1,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_116])]) ).

cnf(c_0_120,plain,
    ( ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != X3
    | frontsegP(X3,X1) ),
    inference(fof_simplification,[status(thm)],[clause144]) ).

cnf(c_0_121,negated_conjecture,
    ( ~ ssList(cons(sk6,nil))
    | app(sk7,cons(sk5,app(sk8,app(cons(sk6,nil),sk9)))) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_45]),c_0_47]),c_0_70])]) ).

cnf(c_0_122,negated_conjecture,
    ( ~ ssList(app(sk7,cons(sk5,sk8)))
    | ~ ssList(app(cons(sk6,nil),sk9))
    | app(cons(sk6,nil),sk9) = cons(sk6,sk9) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_70])]) ).

cnf(c_0_123,plain,
    ( ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != X3
    | frontsegP(X3,X1) ),
    c_0_120 ).

cnf(c_0_124,negated_conjecture,
    app(sk7,cons(sk5,app(sk8,app(cons(sk6,nil),sk9)))) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_50]),c_0_64]),c_0_52])]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ ssList(cons(sk6,nil))
    | ~ ssList(app(sk7,cons(sk5,sk8)))
    | app(cons(sk6,nil),sk9) = cons(sk6,sk9) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_79]),c_0_70])]) ).

cnf(c_0_126,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | frontsegP(app(X1,X2),X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_123]),c_0_79]) ).

cnf(c_0_127,negated_conjecture,
    app(sk7,cons(sk5,app(sk8,cons(sk6,sk9)))) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_55]),c_0_64]),c_0_70])]) ).

cnf(c_0_128,negated_conjecture,
    ( ~ ssList(app(sk7,cons(sk5,sk8)))
    | app(cons(sk6,nil),sk9) = cons(sk6,sk9) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_119]),c_0_52])]) ).

cnf(c_0_129,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(X1,X2) != X3
    | rearsegP(X3,X2) ),
    inference(fof_simplification,[status(thm)],[clause143]) ).

cnf(c_0_130,negated_conjecture,
    ( ~ ssList(cons(sk6,nil))
    | ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
    | app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9)) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_70])]) ).

cnf(c_0_131,negated_conjecture,
    ( ~ ssList(cons(sk5,app(sk8,cons(sk6,sk9))))
    | frontsegP(sk1,sk7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_46])]) ).

cnf(c_0_132,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | tl(cons(X1,X2)) = X2 ),
    inference(fof_simplification,[status(thm)],[clause96]) ).

cnf(c_0_133,negated_conjecture,
    ( ~ ssList(cons(sk5,sk8))
    | app(cons(sk6,nil),sk9) = cons(sk6,sk9) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_79]),c_0_46])]) ).

cnf(c_0_134,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(X1,X2) != X3
    | rearsegP(X3,X2) ),
    c_0_129 ).

cnf(c_0_135,negated_conjecture,
    ( ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
    | app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9)) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_119]),c_0_52])]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ ssList(app(sk8,cons(sk6,sk9)))
    | frontsegP(sk1,sk7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_50]),c_0_51])]) ).

cnf(c_0_137,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | tl(cons(X1,X2)) = X2 ),
    c_0_132 ).

cnf(c_0_138,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_93,c_0_116])]) ).

cnf(c_0_139,negated_conjecture,
    app(cons(sk6,nil),sk9) = cons(sk6,sk9),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_119]),c_0_47])]) ).

cnf(c_0_140,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | rearsegP(app(X1,X2),X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_134]),c_0_79]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ ssList(app(sk7,cons(sk5,nil)))
    | app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9)) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_79]),c_0_47])]) ).

cnf(c_0_142,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ frontsegP(X1,X2)
    | app(X2,skaf45(X1,X2)) = X1 ),
    inference(fof_simplification,[status(thm)],[clause132]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ ssList(cons(sk6,sk9))
    | frontsegP(sk1,sk7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_79]),c_0_47])]) ).

cnf(c_0_144,plain,
    ( ~ ssList(X2)
    | tl(cons(X1,X2)) = X2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_116])]) ).

cnf(c_0_145,negated_conjecture,
    cons(sk6,app(nil,sk9)) = cons(sk6,sk9),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_70]),c_0_52])]) ).

cnf(c_0_146,negated_conjecture,
    ( ~ ssList(cons(sk6,sk9))
    | ~ ssList(app(sk7,cons(sk5,sk8)))
    | rearsegP(sk1,cons(sk6,sk9)) ),
    inference(spm,[status(thm)],[c_0_140,c_0_115]) ).

cnf(c_0_147,negated_conjecture,
    ( ~ ssList(cons(sk5,nil))
    | app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9)) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_79]),c_0_46])]) ).

cnf(c_0_148,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ frontsegP(X1,X2)
    | app(X2,skaf45(X1,X2)) = X1 ),
    c_0_142 ).

cnf(c_0_149,negated_conjecture,
    frontsegP(sk1,sk7),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_50]),c_0_64]),c_0_70])]) ).

cnf(c_0_150,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_151,negated_conjecture,
    ( ~ ssList(app(nil,sk9))
    | app(nil,sk9) = tl(cons(sk6,sk9)) ),
    inference(spm,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_152,negated_conjecture,
    ( ~ ssList(app(sk7,cons(sk5,sk8)))
    | rearsegP(sk1,cons(sk6,sk9)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_119]),c_0_70])]) ).

cnf(c_0_153,negated_conjecture,
    app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9)) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_119]),c_0_52])]) ).

cnf(c_0_154,negated_conjecture,
    ( ~ ssList(X1)
    | ~ ssList(cons(sk5,app(sk8,cons(sk6,sk9))))
    | app(sk7,X1) != sk1
    | cons(sk5,app(sk8,cons(sk6,sk9))) = X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_127]),c_0_46])]) ).

cnf(c_0_155,negated_conjecture,
    app(sk7,skaf45(sk1,sk7)) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_46]),c_0_150])]) ).

cnf(c_0_156,axiom,
    ssList(skaf45(X1,X2)),
    clause51 ).

cnf(c_0_157,negated_conjecture,
    tl(cons(sk6,sk9)) = sk9,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_62]),c_0_70])]) ).

cnf(c_0_158,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(X1,X2) != app(X3,X2)
    | X1 = X3 ),
    inference(fof_simplification,[status(thm)],[clause151]) ).

cnf(c_0_159,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ rearsegP(X1,X2)
    | app(skaf46(X1,X2),X2) = X1 ),
    inference(fof_simplification,[status(thm)],[clause131]) ).

cnf(c_0_160,negated_conjecture,
    ( ~ ssList(cons(sk5,sk8))
    | rearsegP(sk1,cons(sk6,sk9)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_79]),c_0_46])]) ).

cnf(c_0_161,negated_conjecture,
    ( ~ ssList(cons(sk5,nil))
    | app(app(sk7,app(cons(sk5,nil),sk8)),app(cons(sk6,nil),sk9)) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_45]),c_0_46]),c_0_47])]) ).

cnf(c_0_162,negated_conjecture,
    ( ~ ssList(cons(sk5,app(sk8,cons(sk6,sk9))))
    | cons(sk5,app(sk8,cons(sk6,sk9))) = skaf45(sk1,sk7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156])]) ).

cnf(c_0_163,negated_conjecture,
    ( ~ ssList(app(nil,sk9))
    | app(nil,sk9) = sk9 ),
    inference(rw,[status(thm)],[c_0_151,c_0_157]) ).

cnf(c_0_164,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(X1,X2) != app(X3,X2)
    | X1 = X3 ),
    c_0_158 ).

cnf(c_0_165,negated_conjecture,
    ( ~ ssList(cons(sk6,nil))
    | ssList(cons(sk6,sk9)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_139]),c_0_70])]) ).

cnf(c_0_166,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ rearsegP(X1,X2)
    | app(skaf46(X1,X2),X2) = X1 ),
    c_0_159 ).

cnf(c_0_167,negated_conjecture,
    rearsegP(sk1,cons(sk6,sk9)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_119]),c_0_47])]) ).

cnf(c_0_168,negated_conjecture,
    app(app(sk7,app(cons(sk5,nil),sk8)),app(cons(sk6,nil),sk9)) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_119]),c_0_52])]) ).

cnf(c_0_169,plain,
    ( ~ ssList(X2)
    | app(cons(X1,nil),X2) = cons(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_116])]) ).

cnf(c_0_170,negated_conjecture,
    ( ~ ssList(app(sk8,cons(sk6,sk9)))
    | cons(sk5,app(sk8,cons(sk6,sk9))) = skaf45(sk1,sk7) ),
    inference(spm,[status(thm)],[c_0_162,c_0_119]) ).

cnf(c_0_171,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ssList(app(X1,app(X2,X3))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_45]),c_0_79]) ).

cnf(c_0_172,negated_conjecture,
    app(nil,sk9) = sk9,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_79]),c_0_52]),c_0_70])]) ).

cnf(c_0_173,negated_conjecture,
    ( ~ ssList(X1)
    | ~ ssList(app(sk7,cons(sk5,sk8)))
    | ~ ssList(app(cons(sk6,nil),sk9))
    | app(X1,app(cons(sk6,nil),sk9)) != sk1
    | app(sk7,cons(sk5,sk8)) = X1 ),
    inference(spm,[status(thm)],[c_0_164,c_0_111]) ).

cnf(c_0_174,negated_conjecture,
    ssList(cons(sk6,sk9)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_119]),c_0_52])]) ).

cnf(c_0_175,negated_conjecture,
    ( ~ ssList(cons(sk6,sk9))
    | app(skaf46(sk1,cons(sk6,sk9)),cons(sk6,sk9)) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_150])]) ).

cnf(c_0_176,negated_conjecture,
    app(app(sk7,app(cons(sk5,nil),sk8)),cons(sk6,sk9)) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_70])]) ).

cnf(c_0_177,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | app(app(X1,app(X2,X3)),X4) = app(app(X1,X2),app(X3,X4)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_45]),c_0_79]) ).

cnf(c_0_178,negated_conjecture,
    ( ~ ssList(cons(sk6,sk9))
    | cons(sk5,app(sk8,cons(sk6,sk9))) = skaf45(sk1,sk7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_79]),c_0_47])]) ).

cnf(c_0_179,negated_conjecture,
    ( ~ ssList(X1)
    | ssList(app(X1,sk9)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_70]),c_0_52])]) ).

cnf(c_0_180,plain,
    ( ~ ssList(X4)
    | ~ ssItem(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | app(X1,cons(X2,X3)) != X4
    | memberP(X4,X2) ),
    inference(fof_simplification,[status(thm)],[clause175]) ).

cnf(c_0_181,negated_conjecture,
    ( ~ ssList(X1)
    | ~ ssList(app(sk7,cons(sk5,sk8)))
    | app(X1,cons(sk6,sk9)) != sk1
    | app(sk7,cons(sk5,sk8)) = X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_139]),c_0_139]),c_0_174])]) ).

cnf(c_0_182,negated_conjecture,
    app(skaf46(sk1,cons(sk6,sk9)),cons(sk6,sk9)) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_174])]) ).

cnf(c_0_183,axiom,
    ssList(skaf46(X1,X2)),
    clause50 ).

cnf(c_0_184,negated_conjecture,
    ( ~ memberP(X3,X4)
    | ~ ssItem(X4)
    | app(app(X2,cons(X1,nil)),X3) != sk3
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | leq(X1,X4) ),
    inference(fof_simplification,[status(thm)],[co1_7]) ).

cnf(c_0_185,negated_conjecture,
    ( ~ ssList(cons(sk5,nil))
    | ~ ssList(cons(sk6,sk9))
    | app(app(sk7,cons(sk5,nil)),app(sk8,cons(sk6,sk9))) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_47]),c_0_46])]) ).

cnf(c_0_186,negated_conjecture,
    cons(sk5,app(sk8,cons(sk6,sk9))) = skaf45(sk1,sk7),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_119]),c_0_70])]) ).

cnf(c_0_187,negated_conjecture,
    ( ~ ssList(cons(X1,nil))
    | ssList(cons(X1,sk9)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_169]),c_0_70])]) ).

cnf(c_0_188,plain,
    ( ~ ssList(X4)
    | ~ ssItem(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | app(X1,cons(X2,X3)) != X4
    | memberP(X4,X2) ),
    c_0_180 ).

cnf(c_0_189,negated_conjecture,
    ( ~ ssList(app(sk7,cons(sk5,sk8)))
    | app(sk7,cons(sk5,sk8)) = skaf46(sk1,cons(sk6,sk9)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_183])]) ).

cnf(c_0_190,negated_conjecture,
    ( ~ memberP(X3,X4)
    | ~ ssItem(X4)
    | app(app(X2,cons(X1,nil)),X3) != sk3
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | leq(X1,X4) ),
    c_0_184 ).

cnf(c_0_191,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_192,negated_conjecture,
    ( ~ ssList(cons(sk5,nil))
    | app(app(sk7,cons(sk5,nil)),app(sk8,cons(sk6,sk9))) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_119]),c_0_70])]) ).

cnf(c_0_193,negated_conjecture,
    ( ~ ssList(app(sk8,cons(sk6,sk9)))
    | app(sk8,cons(sk6,sk9)) = tl(skaf45(sk1,sk7)) ),
    inference(spm,[status(thm)],[c_0_144,c_0_186]) ).

cnf(c_0_194,negated_conjecture,
    ssList(cons(X1,sk9)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_119]),c_0_52])]) ).

cnf(c_0_195,plain,
    ( ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(app(X1,cons(X2,X3)))
    | ~ ssItem(X2)
    | memberP(app(X1,cons(X2,X3)),X2) ),
    inference(er,[status(thm)],[c_0_188]) ).

cnf(c_0_196,plain,
    ( ~ ssList(X2)
    | hd(cons(X1,X2)) = X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_116])]) ).

cnf(c_0_197,plain,
    ( ~ ssList(X2)
    | cons(X1,X2) != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_116])]) ).

cnf(c_0_198,negated_conjecture,
    ( ~ ssList(cons(sk5,sk8))
    | app(sk7,cons(sk5,sk8)) = skaf46(sk1,cons(sk6,sk9)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_79]),c_0_46])]) ).

cnf(c_0_199,negated_conjecture,
    ( ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ memberP(X4,X2)
    | app(app(X3,cons(X1,nil)),X4) != sk1
    | leq(X1,X2) ),
    inference(rw,[status(thm)],[c_0_190,c_0_191]) ).

cnf(c_0_200,negated_conjecture,
    app(app(sk7,cons(sk5,nil)),app(sk8,cons(sk6,sk9))) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_119]),c_0_52])]) ).

cnf(c_0_201,negated_conjecture,
    app(sk8,cons(sk6,sk9)) = tl(skaf45(sk1,sk7)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_79]),c_0_47]),c_0_194])]) ).

cnf(c_0_202,plain,
    ( ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(app(X1,cons(X2,X3)))
    | memberP(app(X1,cons(X2,X3)),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_116])]) ).

cnf(c_0_203,negated_conjecture,
    ( ~ ssList(app(nil,sk9))
    | hd(cons(sk6,sk9)) = sk6 ),
    inference(spm,[status(thm)],[c_0_196,c_0_145]) ).

cnf(c_0_204,negated_conjecture,
    ( ~ ssList(app(nil,sk9))
    | cons(sk6,sk9) != nil ),
    inference(spm,[status(thm)],[c_0_197,c_0_145]) ).

cnf(c_0_205,negated_conjecture,
    app(sk7,cons(sk5,sk8)) = skaf46(sk1,cons(sk6,sk9)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_119]),c_0_47])]) ).

cnf(c_0_206,negated_conjecture,
    ( ~ ssList(X3)
    | ~ ssList(X4)
    | ~ memberP(X4,X2)
    | app(app(X3,cons(X1,nil)),X4) != sk1
    | leq(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_116]),c_0_116])]) ).

cnf(c_0_207,negated_conjecture,
    app(app(sk7,cons(sk5,nil)),tl(skaf45(sk1,sk7))) = sk1,
    inference(rw,[status(thm)],[c_0_200,c_0_201]) ).

cnf(c_0_208,negated_conjecture,
    ssList(tl(skaf45(sk1,sk7))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_201]),c_0_47]),c_0_194])]) ).

cnf(c_0_209,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | memberP(app(X2,X1),hd(X1))
    | nil = X1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_73]),c_0_74]),c_0_79]) ).

cnf(c_0_210,negated_conjecture,
    hd(cons(sk6,sk9)) = sk6,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_62]),c_0_70])]) ).

cnf(c_0_211,negated_conjecture,
    cons(sk6,sk9) != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_172]),c_0_70])]) ).

cnf(c_0_212,negated_conjecture,
    ( ~ ssList(X1)
    | app(X1,cons(sk6,sk9)) != sk1
    | skaf46(sk1,cons(sk6,sk9)) = X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_205]),c_0_205]),c_0_183])]) ).

cnf(c_0_213,negated_conjecture,
    app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,sk9)) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_169]),c_0_70])]) ).

cnf(c_0_214,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ memberP(X1,X2)
    | memberP(app(X3,X1),X2) ),
    inference(fof_simplification,[status(thm)],[clause141]) ).

cnf(c_0_215,negated_conjecture,
    ( ~ leq(sk5,sk6)
    | memberP(sk8,sk10) ),
    inference(fof_simplification,[status(thm)],[co1_17]) ).

cnf(c_0_216,negated_conjecture,
    ( ~ memberP(tl(skaf45(sk1,sk7)),X1)
    | leq(sk5,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_208]),c_0_46])]) ).

cnf(c_0_217,negated_conjecture,
    memberP(tl(skaf45(sk1,sk7)),sk6),
    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_209,c_0_201]),c_0_210]),c_0_47]),c_0_194])]),c_0_211]) ).

cnf(c_0_218,negated_conjecture,
    ( ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
    | app(app(sk7,cons(sk5,nil)),sk8) = skaf46(sk1,cons(sk6,sk9)) ),
    inference(spm,[status(thm)],[c_0_212,c_0_213]) ).

cnf(c_0_219,plain,
    ( ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ leq(X2,X1)
    | ~ leq(X1,X2)
    | X2 = X1 ),
    inference(fof_simplification,[status(thm)],[clause130]) ).

cnf(c_0_220,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ memberP(X1,X2)
    | memberP(app(X1,X3),X2) ),
    inference(fof_simplification,[status(thm)],[clause140]) ).

cnf(c_0_221,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ memberP(X1,X2)
    | memberP(app(X3,X1),X2) ),
    c_0_214 ).

cnf(c_0_222,negated_conjecture,
    ( ~ leq(sk5,sk6)
    | memberP(sk8,sk10) ),
    c_0_215 ).

cnf(c_0_223,negated_conjecture,
    leq(sk5,sk6),
    inference(spm,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_224,negated_conjecture,
    ( ~ ssList(app(sk7,cons(sk5,nil)))
    | app(app(sk7,cons(sk5,nil)),sk8) = skaf46(sk1,cons(sk6,sk9)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_79]),c_0_47])]) ).

cnf(c_0_225,plain,
    ( ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ leq(X2,X1)
    | ~ leq(X1,X2)
    | X2 = X1 ),
    c_0_219 ).

cnf(c_0_226,negated_conjecture,
    leq(sk6,sk5),
    co1_15 ).

cnf(c_0_227,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ memberP(X1,X2)
    | memberP(app(X1,X3),X2) ),
    c_0_220 ).

cnf(c_0_228,negated_conjecture,
    ( ~ memberP(X2,X4)
    | ~ ssItem(X4)
    | app(app(X2,cons(X1,nil)),X3) != sk3
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | leq(X4,X1) ),
    inference(fof_simplification,[status(thm)],[co1_8]) ).

cnf(c_0_229,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ~ memberP(X2,X3)
    | memberP(app(X1,X2),X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_116])]) ).

cnf(c_0_230,negated_conjecture,
    memberP(sk8,sk10),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_223])]) ).

cnf(c_0_231,negated_conjecture,
    ( ~ ssList(cons(sk5,nil))
    | app(app(sk7,cons(sk5,nil)),sk8) = skaf46(sk1,cons(sk6,sk9)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_79]),c_0_46])]) ).

cnf(c_0_232,negated_conjecture,
    ( ~ leq(sk5,sk6)
    | sk6 = sk5 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_64]),c_0_51])]) ).

cnf(c_0_233,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ memberP(X1,X3)
    | memberP(app(X1,X2),X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_116])]) ).

cnf(c_0_234,negated_conjecture,
    ( ~ memberP(X2,X4)
    | ~ ssItem(X4)
    | app(app(X2,cons(X1,nil)),X3) != sk3
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | leq(X4,X1) ),
    c_0_228 ).

cnf(c_0_235,negated_conjecture,
    ( ~ ssList(X1)
    | memberP(app(X1,sk8),sk10) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_47])]) ).

cnf(c_0_236,negated_conjecture,
    app(app(sk7,cons(sk5,nil)),sk8) = skaf46(sk1,cons(sk6,sk9)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_119]),c_0_52])]) ).

cnf(c_0_237,negated_conjecture,
    sk6 = sk5,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_223])]) ).

cnf(c_0_238,negated_conjecture,
    ( ~ leq(sk5,sk6)
    | ~ leq(sk10,sk6)
    | ~ leq(sk5,sk10) ),
    inference(fof_simplification,[status(thm)],[co1_18]) ).

cnf(c_0_239,negated_conjecture,
    ( ~ ssList(X1)
    | memberP(app(sk8,X1),sk10) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_230]),c_0_47])]) ).

cnf(c_0_240,negated_conjecture,
    ( ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ memberP(X3,X1)
    | app(app(X3,cons(X2,nil)),X4) != sk1
    | leq(X1,X2) ),
    inference(rw,[status(thm)],[c_0_234,c_0_191]) ).

cnf(c_0_241,negated_conjecture,
    ( ~ ssList(app(sk7,cons(sk5,nil)))
    | memberP(skaf46(sk1,cons(sk5,sk9)),sk10) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237]) ).

cnf(c_0_242,negated_conjecture,
    ( ~ leq(sk5,sk6)
    | ~ leq(sk10,sk6)
    | ~ leq(sk5,sk10) ),
    c_0_238 ).

cnf(c_0_243,negated_conjecture,
    memberP(tl(skaf45(sk1,sk7)),sk10),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_201]),c_0_194])]) ).

cnf(c_0_244,negated_conjecture,
    ( ~ ssList(X3)
    | ~ ssList(X4)
    | ~ memberP(X3,X1)
    | app(app(X3,cons(X2,nil)),X4) != sk1
    | leq(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_116]),c_0_116])]) ).

cnf(c_0_245,negated_conjecture,
    ( ~ ssList(cons(sk5,nil))
    | memberP(skaf46(sk1,cons(sk5,sk9)),sk10) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_79]),c_0_46])]) ).

cnf(c_0_246,negated_conjecture,
    ( ~ leq(sk10,sk5)
    | ~ leq(sk5,sk10) ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_223])]),c_0_237]) ).

cnf(c_0_247,negated_conjecture,
    leq(sk5,sk10),
    inference(spm,[status(thm)],[c_0_216,c_0_243]) ).

cnf(c_0_248,negated_conjecture,
    ( ~ memberP(skaf46(sk1,cons(sk5,sk9)),X1)
    | leq(X1,sk5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_44]),c_0_70])]),c_0_237]),c_0_236]),c_0_237]),c_0_236]),c_0_237]),c_0_183])]) ).

cnf(c_0_249,negated_conjecture,
    memberP(skaf46(sk1,cons(sk5,sk9)),sk10),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_119]),c_0_52])]) ).

cnf(c_0_250,negated_conjecture,
    ~ leq(sk10,sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_246,c_0_247])]) ).

cnf(c_0_251,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_250]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWC155-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.46  % Computer : n004.cluster.edu
% 0.21/0.46  % Model    : x86_64 x86_64
% 0.21/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46  % Memory   : 8046.5625MB
% 0.21/0.46  % OS       : Linux 6.8.0-71-generic
% 0.21/0.46  % CPULimit : 300
% 0.21/0.46  % WCLimit  : 300
% 0.21/0.46  % DateTime : Mon Sep 21 07:59:36 UTC 2026
% 0.21/0.46  % CPUTime  : 
% 0.21/0.46  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.54  Running first-order theorem proving
% 0.25/0.54  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 21.12/3.75  % Version: 3.5.1
% 21.12/3.75  % Preprocessing class: FSLSSMSMSSSNFFN.
% 21.12/3.75  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.12/3.75  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 21.12/3.75  % Starting new_bool_3 with 300s (1) cores
% 21.12/3.75  % Starting new_bool_1 with 300s (1) cores
% 21.12/3.75  % Starting sh5l with 300s (1) cores
% 21.12/3.75  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2657487 completed with status 0
% 21.12/3.75  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 21.12/3.75  % Preprocessing class: FSLSSMSMSSSNFFN.
% 21.12/3.75  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.12/3.75  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 21.12/3.75  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 21.12/3.75  % No SInE strategy applied
% 21.12/3.75  % Search class: FGHSM-FSLM21-MFFFFFNN
% 21.12/3.75  % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 21.12/3.75  % Starting SubtermCWHack with 136s (1) cores
% 21.12/3.75  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 21.12/3.75  % Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 21.12/3.75  % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 21.12/3.75  % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 21.12/3.75  % G-E--_200_B02_F1_SE_CS_SP_PI_S2k with pid 2657494 completed with status 0
% 21.12/3.75  % Result found by G-E--_200_B02_F1_SE_CS_SP_PI_S2k
% 21.12/3.75  % Preprocessing class: FSLSSMSMSSSNFFN.
% 21.12/3.75  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.12/3.75  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 21.12/3.75  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 21.12/3.75  % No SInE strategy applied
% 21.12/3.75  % Search class: FGHSM-FSLM21-MFFFFFNN
% 21.12/3.75  % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 21.12/3.75  % Starting SubtermCWHack with 136s (1) cores
% 21.12/3.75  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 21.12/3.75  % Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 21.12/3.75  % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 21.12/3.75  % Preprocessing time       : 0.005 s
% 21.12/3.75  
% 21.12/3.75  % Proof found!
% 21.12/3.75  % SZS status Unsatisfiable
% 21.12/3.75  % SZS output start CNFRefutation
% See solution above
% 21.12/3.75  % Parsed axioms                        : 203
% 21.12/3.75  % Removed by relevancy pruning/SinE    : 0
% 21.12/3.75  % Initial clauses                      : 203
% 21.12/3.75  % Removed in clause preprocessing      : 0
% 21.12/3.75  % Initial clauses in saturation        : 203
% 21.12/3.75  % Processed clauses                    : 9422
% 21.12/3.75  % ...of these trivial                  : 404
% 21.12/3.75  % ...subsumed                          : 5219
% 21.12/3.75  % ...remaining for further processing  : 3799
% 21.12/3.75  % Other redundant clauses eliminated   : 157
% 21.12/3.75  % Clauses deleted for lack of memory   : 0
% 21.12/3.75  % Backward-subsumed                    : 480
% 21.12/3.75  % Backward-rewritten                   : 900
% 21.12/3.75  % Generated clauses                    : 45215
% 21.12/3.75  % ...of the previous two non-redundant : 42242
% 21.12/3.75  % ...aggressively subsumed             : 0
% 21.12/3.75  % Contextual simplify-reflections      : 261
% 21.12/3.75  % Paramodulations                      : 45035
% 21.12/3.75  % Factorizations                       : 0
% 21.12/3.75  % NegExts                              : 0
% 21.12/3.75  % Equation resolutions                 : 167
% 21.12/3.75  % Disequality decompositions           : 0
% 21.12/3.75  % Total rewrite steps                  : 65547
% 21.12/3.75  % ...of those cached                   : 64460
% 21.12/3.75  % Propositional unsat checks           : 0
% 21.12/3.75  %    Propositional check models        : 0
% 21.12/3.75  %    Propositional check unsatisfiable : 0
% 21.12/3.75  %    Propositional clauses             : 0
% 21.12/3.75  %    Propositional clauses after purity: 0
% 21.12/3.75  %    Propositional unsat core size     : 0
% 21.12/3.75  %    Propositional preprocessing time  : 0.000
% 21.12/3.75  %    Propositional encoding time       : 0.000
% 21.12/3.75  %    Propositional solver time         : 0.000
% 21.12/3.75  %    Success case prop preproc time    : 0.000
% 21.12/3.75  %    Success case prop encoding time   : 0.000
% 21.12/3.75  %    Success case prop solver time     : 0.000
% 21.12/3.75  % Current number of processed clauses  : 2382
% 21.12/3.75  %    Positive orientable unit clauses  : 353
% 21.12/3.75  %    Positive unorientable unit clauses: 0
% 21.12/3.75  %    Negative unit clauses             : 123
% 21.12/3.75  %    Non-unit-clauses                  : 1906
% 21.12/3.75  % Current number of unprocessed clauses: 31513
% 21.12/3.75  % ...number of literals in the above   : 153437
% 21.12/3.75  % Current number of archived formulas  : 0
% 21.12/3.75  % Current number of archived clauses   : 1394
% 21.12/3.75  % Clause-clause subsumption calls (NU) : 1221801
% 21.12/3.75  % Rec. Clause-clause subsumption calls : 730362
% 21.12/3.75  % Non-unit clause-clause subsumptions  : 4451
% 21.12/3.75  % Unit Clause-clause subsumption calls : 47899
% 21.12/3.75  % Rewrite failures with RHS unbound    : 0
% 21.12/3.75  % BW rewrite match attempts            : 775
% 21.12/3.75  % BW rewrite match successes           : 218
% 21.12/3.75  % Condensation attempts                : 0
% 21.12/3.75  % Condensation successes               : 0
% 21.12/3.75  % Termbank termtop insertions          : 1258949
% 21.12/3.75  % Search garbage collected termcells   : 555
% 21.12/3.75  
% 21.12/3.75  % -------------------------------------------------
% 21.12/3.75  % User time                : 3.017 s
% 21.12/3.75  % System time              : 0.063 s
% 21.12/3.75  % Total time               : 3.079 s
% 21.12/3.75  % Maximum resident set size: 4072 pages
% 21.12/3.75  
% 21.12/3.75  % -------------------------------------------------
% 21.12/3.75  % User time                : 14.315 s
% 21.12/3.75  % System time              : 0.424 s
% 21.12/3.75  % Total time               : 14.740 s
% 21.12/3.75  % Maximum resident set size: 5120 pages
% 21.12/3.75  % E exiting
%------------------------------------------------------------------------------