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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWC072-1 : 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 : 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 02:42:52 PM UTC 2026

% Result   : Unsatisfiable 53.32s 8.21s
% Output   : CNFRefutation 53.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   38
% Syntax   : Number of clauses     :  167 (  38 unt;  22 nHn; 152 RR)
%            Number of literals    :  510 ( 152 equ; 343 neg)
%            Maximal clause size   :   12 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-2 aty)
%            Number of variables   :  233 (  20 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_10,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ neq(nil,sk4)
    | hd(sk4) != X4
    | cons(X4,nil) != X3
    | ~ ssItem(X4)
    | app(X2,X3) != X1
    | tl(sk4) != X2
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | sk3 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(co1_9,negated_conjecture,
    ( nil != sk1
    | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

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

cnf(co1_8,negated_conjecture,
    ( nil != sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

cnf(clause170,axiom,
    ( ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssItem(X1)
    | ~ ssItem(X3)
    | cons(X1,X2) != cons(X3,X4)
    | X1 = X3 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause170) ).

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(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(clause73,axiom,
    ( ~ ssList(X1)
    | app(X1,nil) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).

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

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

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

cnf(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(clause57,axiom,
    ( ~ ssList(X1)
    | segmentP(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause57) ).

cnf(co1_7,negated_conjecture,
    ( ~ segmentP(sk1,X1)
    | ~ segmentP(sk2,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

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

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

cnf(clause59,axiom,
    ( ~ ssList(X1)
    | rearsegP(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause59) ).

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

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

cnf(c_0_38,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ neq(nil,sk4)
    | hd(sk4) != X4
    | cons(X4,nil) != X3
    | ~ ssItem(X4)
    | app(X2,X3) != X1
    | tl(sk4) != X2
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | sk3 = X1 ),
    inference(fof_simplification,[status(thm)],[co1_10]) ).

cnf(c_0_39,negated_conjecture,
    ( nil != sk1
    | nil != sk2 ),
    inference(fof_simplification,[status(thm)],[co1_9]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ neq(nil,sk4)
    | hd(sk4) != X4
    | cons(X4,nil) != X3
    | ~ ssItem(X4)
    | app(X2,X3) != X1
    | tl(sk4) != X2
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | sk3 = X1 ),
    c_0_38 ).

cnf(c_0_41,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ssList(app(X2,X1)) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_42,negated_conjecture,
    ( nil != sk4
    | nil = sk3 ),
    inference(fof_simplification,[status(thm)],[co1_8]) ).

cnf(c_0_43,negated_conjecture,
    ( nil != sk1
    | nil != sk2 ),
    c_0_39 ).

cnf(c_0_44,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_45,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ ssItem(X4)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | cons(X4,nil) != X3
    | app(X2,X3) != X1
    | hd(sk4) != X4
    | tl(sk4) != X2
    | sk3 = X1 ),
    inference(cn,[status(thm)],[c_0_40]) ).

cnf(c_0_46,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_47,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ssList(app(X2,X1)) ),
    c_0_41 ).

cnf(c_0_48,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | X2 = X1
    | neq(X2,X1) ),
    inference(fof_simplification,[status(thm)],[clause100]) ).

cnf(c_0_49,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_50,negated_conjecture,
    ( nil != sk4
    | nil = sk3 ),
    c_0_42 ).

cnf(c_0_51,negated_conjecture,
    ( nil != sk4
    | nil != sk1 ),
    inference(rw,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ ssList(tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssItem(hd(sk4))
    | ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | app(tl(sk4),cons(hd(sk4),nil)) = sk1 ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])])])])]),c_0_47]) ).

cnf(c_0_53,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | X2 = X1
    | neq(X2,X1) ),
    c_0_48 ).

cnf(c_0_54,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_55,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_49,c_0_44]) ).

cnf(c_0_56,negated_conjecture,
    nil != sk4,
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_46]),c_0_51]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ ssList(tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssItem(hd(sk4))
    | ~ neq(sk4,nil)
    | app(tl(sk4),cons(hd(sk4),nil)) = sk1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55])]),c_0_56]) ).

cnf(c_0_58,plain,
    ( ~ ssList(X1)
    | nil = X1
    | ssItem(hd(X1)) ),
    inference(fof_simplification,[status(thm)],[clause76]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ ssList(tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssItem(hd(sk4))
    | app(tl(sk4),cons(hd(sk4),nil)) = sk1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_53]),c_0_55]),c_0_54])]),c_0_56]) ).

cnf(c_0_60,plain,
    ( ~ ssList(X1)
    | nil = X1
    | ssItem(hd(X1)) ),
    c_0_58 ).

cnf(c_0_61,plain,
    ( ~ ssList(X1)
    | nil = X1
    | ssList(tl(X1)) ),
    inference(fof_simplification,[status(thm)],[clause75]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ ssList(tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | app(tl(sk4),cons(hd(sk4),nil)) = sk1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_55])]),c_0_56]) ).

cnf(c_0_63,plain,
    ( ~ ssList(X1)
    | nil = X1
    | ssList(tl(X1)) ),
    c_0_61 ).

cnf(c_0_64,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | ssList(cons(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_65,negated_conjecture,
    ( ~ ssList(cons(hd(sk4),nil))
    | app(tl(sk4),cons(hd(sk4),nil)) = sk1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_55])]),c_0_56]) ).

cnf(c_0_66,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | ssList(cons(X1,X2)) ),
    c_0_64 ).

cnf(c_0_67,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | tl(cons(X1,X2)) = X2 ),
    inference(fof_simplification,[status(thm)],[clause96]) ).

cnf(c_0_68,plain,
    ( ~ ssList(X1)
    | nil = X1
    | cons(skaf83(X1),skaf82(X1)) = X1 ),
    inference(fof_simplification,[status(thm)],[clause109]) ).

cnf(c_0_69,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(X1,X2) != app(X3,X2)
    | X1 = X3 ),
    inference(fof_simplification,[status(thm)],[clause151]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ ssItem(hd(sk4))
    | app(tl(sk4),cons(hd(sk4),nil)) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_54])]) ).

cnf(c_0_71,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | tl(cons(X1,X2)) = X2 ),
    c_0_67 ).

cnf(c_0_72,plain,
    ( ~ ssList(X1)
    | nil = X1
    | cons(skaf83(X1),skaf82(X1)) = X1 ),
    c_0_68 ).

cnf(c_0_73,axiom,
    ssItem(skaf83(X1)),
    clause12 ).

cnf(c_0_74,axiom,
    ssList(skaf82(X1)),
    clause13 ).

cnf(c_0_75,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(X1,X2) != app(X3,X2)
    | X1 = X3 ),
    c_0_69 ).

cnf(c_0_76,negated_conjecture,
    app(tl(sk4),cons(hd(sk4),nil)) = sk1,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_60]),c_0_55])]),c_0_56]) ).

cnf(c_0_77,plain,
    ( ~ ssList(X1)
    | nil = X1
    | tl(X1) = skaf82(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_74])]) ).

cnf(c_0_78,negated_conjecture,
    ( ~ ssList(X1)
    | ~ ssList(tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | app(X1,cons(hd(sk4),nil)) != sk1
    | tl(sk4) = X1 ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_79,negated_conjecture,
    app(skaf82(sk4),cons(hd(sk4),nil)) = sk1,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_55])]),c_0_56]) ).

cnf(c_0_80,plain,
    ( ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != X3
    | frontsegP(X3,X1) ),
    inference(fof_simplification,[status(thm)],[clause144]) ).

cnf(c_0_81,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_82,negated_conjecture,
    ( ~ ssList(tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | tl(sk4) = skaf82(sk4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_74])]) ).

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(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != X3
    | frontsegP(X3,X1) ),
    c_0_80 ).

cnf(c_0_85,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_81 ).

cnf(c_0_86,plain,
    ( ~ ssList(X1)
    | nil = X1
    | cons(hd(X1),tl(X1)) = X1 ),
    inference(fof_simplification,[status(thm)],[clause104]) ).

cnf(c_0_87,negated_conjecture,
    ( ~ ssList(cons(hd(sk4),nil))
    | tl(sk4) = skaf82(sk4) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_63]),c_0_55])]),c_0_56]) ).

cnf(c_0_88,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | hd(cons(X1,X2)) = X1 ),
    c_0_83 ).

cnf(c_0_89,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | frontsegP(app(X1,X2),X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_84]),c_0_47]) ).

cnf(c_0_90,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_85]) ).

cnf(c_0_91,plain,
    ( ~ ssList(X1)
    | nil = X1
    | cons(hd(X1),tl(X1)) = X1 ),
    c_0_86 ).

cnf(c_0_92,plain,
    ( ~ ssList(X1)
    | ssItem(X2)
    | duplicatefreeP(X1) ),
    inference(fof_simplification,[status(thm)],[clause72]) ).

cnf(c_0_93,plain,
    ( ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssItem(X1)
    | ~ ssItem(X3)
    | cons(X1,X2) != cons(X3,X4)
    | X1 = X3 ),
    inference(fof_simplification,[status(thm)],[clause170]) ).

cnf(c_0_94,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,X2) != nil ),
    inference(fof_simplification,[status(thm)],[clause98]) ).

cnf(c_0_95,negated_conjecture,
    ( ~ ssItem(hd(sk4))
    | tl(sk4) = skaf82(sk4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_66]),c_0_54])]) ).

cnf(c_0_96,plain,
    ( ~ ssList(X1)
    | nil = X1
    | hd(X1) = skaf83(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_72]),c_0_73]),c_0_74])]) ).

cnf(c_0_97,negated_conjecture,
    ( ~ ssList(tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | frontsegP(sk1,tl(sk4)) ),
    inference(spm,[status(thm)],[c_0_89,c_0_76]) ).

cnf(c_0_98,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | app(cons(X1,nil),X2) = cons(X1,X2) ),
    inference(fof_simplification,[status(thm)],[clause120]) ).

cnf(c_0_99,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_100,plain,
    ( ~ ssList(X1)
    | app(X1,nil) = X1 ),
    inference(fof_simplification,[status(thm)],[clause73]) ).

cnf(c_0_101,plain,
    ( ~ duplicatefreeP(app(app(X2,cons(hd(X1),X3)),X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(app(app(X2,cons(hd(X1),X3)),X1))
    | nil = X1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_63]),c_0_60]) ).

cnf(c_0_102,plain,
    ( ~ ssList(X1)
    | ssItem(X2)
    | duplicatefreeP(X1) ),
    c_0_92 ).

cnf(c_0_103,plain,
    ( ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssItem(X1)
    | ~ ssItem(X3)
    | cons(X1,X2) != cons(X3,X4)
    | X1 = X3 ),
    c_0_93 ).

cnf(c_0_104,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,X2) != nil ),
    c_0_94 ).

cnf(c_0_105,negated_conjecture,
    tl(sk4) = skaf82(sk4),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_73]),c_0_55])]),c_0_56]) ).

cnf(c_0_106,negated_conjecture,
    ( ~ ssList(cons(hd(sk4),nil))
    | frontsegP(sk1,tl(sk4)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_63]),c_0_55])]),c_0_56]) ).

cnf(c_0_107,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | app(cons(X1,nil),X2) = cons(X1,X2) ),
    c_0_98 ).

cnf(c_0_108,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | cons(X1,app(X2,X3)) = app(cons(X1,X2),X3) ),
    c_0_99 ).

cnf(c_0_109,plain,
    ( ~ ssList(X1)
    | app(X1,nil) = X1 ),
    c_0_100 ).

cnf(c_0_110,negated_conjecture,
    ( ~ duplicatefreeP(app(sk1,sk4))
    | ~ ssList(app(sk1,sk4)) ),
    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_101,c_0_79]),c_0_54]),c_0_74]),c_0_55])]),c_0_56]) ).

cnf(c_0_111,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | duplicatefreeP(app(X2,X3))
    | ssItem(X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_47]) ).

cnf(c_0_112,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_113,plain,
    ( ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != app(X1,X3)
    | X2 = X3 ),
    inference(fof_simplification,[status(thm)],[clause150]) ).

cnf(c_0_114,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | skaf83(cons(X1,X2)) = X1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_72]),c_0_73]),c_0_74])])]),c_0_66]),c_0_104]) ).

cnf(c_0_115,negated_conjecture,
    cons(hd(sk4),skaf82(sk4)) = sk4,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_105]),c_0_55])]),c_0_56]) ).

cnf(c_0_116,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ frontsegP(X1,X2)
    | app(X2,skaf45(X1,X2)) = X1 ),
    inference(fof_simplification,[status(thm)],[clause132]) ).

cnf(c_0_117,negated_conjecture,
    ( ~ ssItem(hd(sk4))
    | frontsegP(sk1,tl(sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_66]),c_0_54])]) ).

cnf(c_0_118,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_119,plain,
    ( ~ ssList(X1)
    | segmentP(X1,X1) ),
    inference(fof_simplification,[status(thm)],[clause57]) ).

cnf(c_0_120,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | ssList(app(cons(X1,nil),X2)) ),
    inference(spm,[status(thm)],[c_0_66,c_0_107]) ).

cnf(c_0_121,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | app(cons(X1,X2),nil) = cons(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_54])]) ).

cnf(c_0_122,negated_conjecture,
    ( ~ ssList(app(sk1,sk4))
    | ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]),c_0_55])]) ).

cnf(c_0_123,plain,
    ( ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,X2) != app(X1,X3)
    | X2 = X3 ),
    c_0_113 ).

cnf(c_0_124,negated_conjecture,
    ( ~ ssItem(hd(sk4))
    | hd(sk4) = skaf83(sk4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_74])]) ).

cnf(c_0_125,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ frontsegP(X1,X2)
    | app(X2,skaf45(X1,X2)) = X1 ),
    c_0_116 ).

cnf(c_0_126,negated_conjecture,
    frontsegP(sk1,tl(sk4)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_60]),c_0_55])]),c_0_56]) ).

cnf(c_0_127,negated_conjecture,
    ( ~ segmentP(sk1,X1)
    | ~ segmentP(sk2,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[co1_7]) ).

cnf(c_0_128,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ segmentP(X1,X2)
    | segmentP(app(app(X4,X1),X3),X2) ),
    c_0_118 ).

cnf(c_0_129,plain,
    ( ~ ssList(X1)
    | segmentP(X1,X1) ),
    c_0_119 ).

cnf(c_0_130,plain,
    ( ~ ssItem(X1)
    | ssList(cons(X1,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_54])]) ).

cnf(c_0_131,negated_conjecture,
    ssItem(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_47]),c_0_112]),c_0_55])]) ).

cnf(c_0_132,plain,
    ( ~ ssList(X1)
    | frontsegP(X1,X1) ),
    inference(fof_simplification,[status(thm)],[clause61]) ).

cnf(c_0_133,negated_conjecture,
    ( ~ ssList(X1)
    | ~ ssList(tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | app(tl(sk4),X1) != sk1
    | cons(hd(sk4),nil) = X1 ),
    inference(spm,[status(thm)],[c_0_123,c_0_76]) ).

cnf(c_0_134,negated_conjecture,
    hd(sk4) = skaf83(sk4),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_60]),c_0_55])]),c_0_56]) ).

cnf(c_0_135,negated_conjecture,
    ( ~ ssList(tl(sk4))
    | app(tl(sk4),skaf45(sk1,tl(sk4))) = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_112])]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ segmentP(sk1,X1)
    | ~ segmentP(sk2,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    c_0_127 ).

cnf(c_0_137,plain,
    ( ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | segmentP(app(app(X1,X2),X3),X2) ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_138,plain,
    ssList(cons(X1,nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131])]) ).

cnf(c_0_139,plain,
    ( ~ ssList(X1)
    | frontsegP(X1,X1) ),
    c_0_132 ).

cnf(c_0_140,plain,
    ( ~ ssList(X2)
    | ~ ssItem(X1)
    | app(cons(X1,nil),X2) != nil ),
    inference(spm,[status(thm)],[c_0_104,c_0_107]) ).

cnf(c_0_141,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ rearsegP(X1,X2)
    | app(skaf46(X1,X2),X2) = X1 ),
    inference(fof_simplification,[status(thm)],[clause131]) ).

cnf(c_0_142,plain,
    ( ~ ssList(X1)
    | rearsegP(X1,X1) ),
    inference(fof_simplification,[status(thm)],[clause59]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ ssList(X1)
    | ~ ssList(cons(skaf83(sk4),nil))
    | app(skaf82(sk4),X1) != sk1
    | cons(skaf83(sk4),nil) = X1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_105]),c_0_105]),c_0_74])]),c_0_134]),c_0_134]) ).

cnf(c_0_144,negated_conjecture,
    app(tl(sk4),skaf45(sk1,tl(sk4))) = sk1,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_63]),c_0_55])]),c_0_56]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ ssList(X1)
    | ~ segmentP(sk4,X1)
    | ~ segmentP(sk1,X1)
    | ~ neq(X1,nil) ),
    inference(rw,[status(thm)],[c_0_136,c_0_44]) ).

cnf(c_0_146,negated_conjecture,
    ( ~ ssList(X1)
    | segmentP(app(sk1,X1),cons(skaf83(sk4),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_79]),c_0_74])]),c_0_134]),c_0_138])]) ).

cnf(c_0_147,plain,
    ( ~ ssList(X1)
    | app(X1,skaf45(X1,X1)) = X1 ),
    inference(spm,[status(thm)],[c_0_125,c_0_139]) ).

cnf(c_0_148,axiom,
    ssList(skaf45(X1,X2)),
    clause51 ).

cnf(c_0_149,plain,
    ( ~ ssItem(X1)
    | cons(X1,nil) != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_121]),c_0_54])]) ).

cnf(c_0_150,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ rearsegP(X1,X2)
    | app(skaf46(X1,X2),X2) = X1 ),
    c_0_141 ).

cnf(c_0_151,plain,
    ( ~ ssList(X1)
    | rearsegP(X1,X1) ),
    c_0_142 ).

cnf(c_0_152,plain,
    ( ~ ssList(X1)
    | nil = X1
    | app(cons(hd(X1),nil),tl(X1)) = X1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_107]),c_0_63]),c_0_60]) ).

cnf(c_0_153,negated_conjecture,
    ( ~ ssList(X1)
    | app(skaf82(sk4),X1) != sk1
    | cons(skaf83(sk4),nil) = X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_138])]) ).

cnf(c_0_154,negated_conjecture,
    app(skaf82(sk4),skaf45(sk1,skaf82(sk4))) = sk1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_105]),c_0_105]) ).

cnf(c_0_155,negated_conjecture,
    ( ~ ssList(X1)
    | ~ segmentP(sk4,X1)
    | ~ segmentP(sk1,X1)
    | nil = X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_53]),c_0_54])]) ).

cnf(c_0_156,negated_conjecture,
    segmentP(sk1,cons(skaf83(sk4),nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]),c_0_112])]) ).

cnf(c_0_157,plain,
    cons(X1,nil) != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_131])]) ).

cnf(c_0_158,plain,
    ( ~ ssList(X1)
    | app(skaf46(X1,X1),X1) = X1 ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_159,axiom,
    ssList(skaf46(X1,X2)),
    clause50 ).

cnf(c_0_160,negated_conjecture,
    app(cons(skaf83(sk4),nil),skaf82(sk4)) = sk4,
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_105]),c_0_55])]),c_0_56]),c_0_134]) ).

cnf(c_0_161,negated_conjecture,
    cons(skaf83(sk4),nil) = skaf45(sk1,skaf82(sk4)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_148])]) ).

cnf(c_0_162,negated_conjecture,
    ~ segmentP(sk4,cons(skaf83(sk4),nil)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_138])]),c_0_157]) ).

cnf(c_0_163,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | segmentP(app(X1,X2),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_158]),c_0_159])]) ).

cnf(c_0_164,negated_conjecture,
    app(skaf45(sk1,skaf82(sk4)),skaf82(sk4)) = sk4,
    inference(rw,[status(thm)],[c_0_160,c_0_161]) ).

cnf(c_0_165,negated_conjecture,
    ~ segmentP(sk4,skaf45(sk1,skaf82(sk4))),
    inference(rw,[status(thm)],[c_0_162,c_0_161]) ).

cnf(c_0_166,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_74]),c_0_148])]),c_0_165]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC072-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n004.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 07:53:20 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 53.32/8.21  % Version: 3.5.1
% 53.32/8.21  % Preprocessing class: FSLSSMSSSSSNFFN.
% 53.32/8.21  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 53.32/8.21  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 53.32/8.21  % Starting new_bool_3 with 300s (1) cores
% 53.32/8.21  % Starting new_bool_1 with 300s (1) cores
% 53.32/8.21  % Starting sh5l with 300s (1) cores
% 53.32/8.21  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2645352 completed with status 0
% 53.32/8.21  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 53.32/8.21  % Preprocessing class: FSLSSMSSSSSNFFN.
% 53.32/8.21  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 53.32/8.21  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 53.32/8.21  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 53.32/8.21  % No SInE strategy applied
% 53.32/8.21  % Search class: FGHSM-FSLM21-MFFFFFNN
% 53.32/8.21  % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 53.32/8.21  % Starting SubtermCWHack with 136s (1) cores
% 53.32/8.21  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 53.32/8.21  % Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 53.32/8.21  % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 53.32/8.21  % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 53.32/8.21  % G-E--_200_B02_F1_SE_CS_SP_PI_S2k with pid 2645362 completed with status 0
% 53.32/8.21  % Result found by G-E--_200_B02_F1_SE_CS_SP_PI_S2k
% 53.32/8.21  % Preprocessing class: FSLSSMSSSSSNFFN.
% 53.32/8.21  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 53.32/8.21  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 53.32/8.21  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 53.32/8.21  % No SInE strategy applied
% 53.32/8.21  % Search class: FGHSM-FSLM21-MFFFFFNN
% 53.32/8.21  % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 53.32/8.21  % Starting SubtermCWHack with 136s (1) cores
% 53.32/8.21  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 53.32/8.21  % Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 53.32/8.21  % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 53.32/8.21  % Preprocessing time       : 0.004 s
% 53.32/8.21  
% 53.32/8.21  % Proof found!
% 53.32/8.21  % SZS status Unsatisfiable
% 53.32/8.21  % SZS output start CNFRefutation
% See solution above
% 53.32/8.21  % Parsed axioms                        : 195
% 53.32/8.21  % Removed by relevancy pruning/SinE    : 0
% 53.32/8.21  % Initial clauses                      : 195
% 53.32/8.21  % Removed in clause preprocessing      : 0
% 53.32/8.21  % Initial clauses in saturation        : 195
% 53.32/8.21  % Processed clauses                    : 18548
% 53.32/8.21  % ...of these trivial                  : 316
% 53.32/8.21  % ...subsumed                          : 13790
% 53.32/8.21  % ...remaining for further processing  : 4442
% 53.32/8.21  % Other redundant clauses eliminated   : 2278
% 53.32/8.21  % Clauses deleted for lack of memory   : 0
% 53.32/8.21  % Backward-subsumed                    : 454
% 53.32/8.21  % Backward-rewritten                   : 870
% 53.32/8.21  % Generated clauses                    : 266045
% 53.32/8.21  % ...of the previous two non-redundant : 254590
% 53.32/8.21  % ...aggressively subsumed             : 0
% 53.32/8.21  % Contextual simplify-reflections      : 879
% 53.32/8.21  % Paramodulations                      : 263683
% 53.32/8.21  % Factorizations                       : 2
% 53.32/8.21  % NegExts                              : 0
% 53.32/8.21  % Equation resolutions                 : 2325
% 53.32/8.21  % Disequality decompositions           : 0
% 53.32/8.21  % Total rewrite steps                  : 258869
% 53.32/8.21  % ...of those cached                   : 256508
% 53.32/8.21  % Propositional unsat checks           : 0
% 53.32/8.21  %    Propositional check models        : 0
% 53.32/8.21  %    Propositional check unsatisfiable : 0
% 53.32/8.21  %    Propositional clauses             : 0
% 53.32/8.21  %    Propositional clauses after purity: 0
% 53.32/8.21  %    Propositional unsat core size     : 0
% 53.32/8.21  %    Propositional preprocessing time  : 0.000
% 53.32/8.21  %    Propositional encoding time       : 0.000
% 53.32/8.21  %    Propositional solver time         : 0.000
% 53.32/8.21  %    Success case prop preproc time    : 0.000
% 53.32/8.21  %    Success case prop encoding time   : 0.000
% 53.32/8.21  %    Success case prop solver time     : 0.000
% 53.32/8.21  % Current number of processed clauses  : 3055
% 53.32/8.21  %    Positive orientable unit clauses  : 351
% 53.32/8.21  %    Positive unorientable unit clauses: 0
% 53.32/8.21  %    Negative unit clauses             : 541
% 53.32/8.21  %    Non-unit-clauses                  : 2163
% 53.32/8.21  % Current number of unprocessed clauses: 226255
% 53.32/8.21  % ...number of literals in the above   : 1525333
% 53.32/8.21  % Current number of archived formulas  : 0
% 53.32/8.21  % Current number of archived clauses   : 1363
% 53.32/8.21  % Clause-clause subsumption calls (NU) : 1256594
% 53.32/8.21  % Rec. Clause-clause subsumption calls : 222484
% 53.32/8.21  % Non-unit clause-clause subsumptions  : 6974
% 53.32/8.21  % Unit Clause-clause subsumption calls : 58395
% 53.32/8.21  % Rewrite failures with RHS unbound    : 0
% 53.32/8.21  % BW rewrite match attempts            : 228
% 53.32/8.21  % BW rewrite match successes           : 138
% 53.32/8.21  % Condensation attempts                : 0
% 53.32/8.21  % Condensation successes               : 0
% 53.32/8.21  % Termbank termtop insertions          : 6870660
% 53.32/8.21  % Search garbage collected termcells   : 567
% 53.32/8.21  
% 53.32/8.21  % -------------------------------------------------
% 53.32/8.21  % User time                : 7.326 s
% 53.32/8.21  % System time              : 0.240 s
% 53.32/8.21  % Total time               : 7.566 s
% 53.32/8.21  % Maximum resident set size: 4068 pages
% 53.32/8.21  
% 53.32/8.21  % -------------------------------------------------
% 53.32/8.21  % User time                : 36.713 s
% 53.32/8.21  % System time              : 1.384 s
% 53.32/8.21  % Total time               : 38.096 s
% 53.32/8.21  % Maximum resident set size: 4864 pages
% 53.32/8.21  % E exiting
%------------------------------------------------------------------------------