TSTP Solution File: SWC394-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWC394-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 04:26:21 EDT 2024

% Result   : Unsatisfiable 2.17s 0.78s
% Output   : CNFRefutation 2.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   31
% Syntax   : Number of clauses     :  109 (  44 unt;   6 nHn;  89 RR)
%            Number of literals    :  278 (  38 equ; 176 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-2 aty)
%            Number of variables   :  164 (  34 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause179,axiom,
    ( app(app(X1,cons(X2,X3)),cons(X2,X4)) != X5
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ duplicatefreeP(X5)
    | ~ ssList(X5) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause179) ).

cnf(clause169,axiom,
    ( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause169) ).

cnf(co1_8,negated_conjecture,
    memberP(sk1,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

cnf(co1_7,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(clause52,axiom,
    ssList(skaf43(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause52) ).

cnf(clause53,axiom,
    ssList(skaf42(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause53) ).

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

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

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

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

cnf(clause136,axiom,
    ( rearsegP(app(X3,X1),X2)
    | ~ rearsegP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause136) ).

cnf(clause58,axiom,
    ( rearsegP(X1,nil)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause58) ).

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

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

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

cnf(clause51,axiom,
    ssList(skaf45(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).

cnf(clause73,axiom,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).

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

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

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

cnf(clause141,axiom,
    ( memberP(app(X3,X1),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause141) ).

cnf(clause168,axiom,
    ( app(app(skaf47(X1,X2),X2),skaf48(X2,X1)) = X1
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause168) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

cnf(co1_9,negated_conjecture,
    ~ memberP(sk2,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(co1_13,negated_conjecture,
    ( nil = sk3
    | segmentP(sk4,sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

cnf(clause71,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).

cnf(clause48,axiom,
    ssList(skaf48(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause48) ).

cnf(clause49,axiom,
    ssList(skaf47(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause49) ).

cnf(c_0_31,plain,
    ( app(app(X1,cons(X2,X3)),cons(X2,X4)) != X5
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ duplicatefreeP(X5)
    | ~ ssList(X5) ),
    inference(fof_simplification,[status(thm)],[clause179]) ).

cnf(c_0_32,plain,
    ( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause169]) ).

cnf(c_0_33,negated_conjecture,
    memberP(sk1,sk5),
    co1_8 ).

cnf(c_0_34,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_35,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_36,plain,
    ( app(app(X1,cons(X2,X3)),cons(X2,X4)) != X5
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ duplicatefreeP(X5)
    | ~ ssList(X5) ),
    c_0_31 ).

cnf(c_0_37,plain,
    ( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    c_0_32 ).

cnf(c_0_38,negated_conjecture,
    memberP(sk3,sk5),
    inference(rw,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_39,negated_conjecture,
    ssItem(sk5),
    co1_7 ).

cnf(c_0_40,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_35,c_0_34]) ).

cnf(c_0_41,plain,
    ( ~ ssItem(X1)
    | ~ ssList(app(app(X2,cons(X1,X3)),cons(X1,X4)))
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ duplicatefreeP(app(app(X2,cons(X1,X3)),cons(X1,X4))) ),
    inference(er,[status(thm)],[c_0_36]) ).

cnf(c_0_42,negated_conjecture,
    app(skaf42(sk3,sk5),cons(sk5,skaf43(sk5,sk3))) = sk3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40])]) ).

cnf(c_0_43,axiom,
    ssList(skaf43(X1,X2)),
    clause52 ).

cnf(c_0_44,axiom,
    ssList(skaf42(X1,X2)),
    clause53 ).

cnf(c_0_45,plain,
    ( duplicatefreeP(X1)
    | ssItem(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause72]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ ssList(app(sk3,cons(sk5,X1)))
    | ~ ssList(X1)
    | ~ duplicatefreeP(app(sk3,cons(sk5,X1))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_39]),c_0_43]),c_0_44])]) ).

cnf(c_0_47,plain,
    ( duplicatefreeP(X1)
    | ssItem(X2)
    | ~ ssList(X1) ),
    c_0_45 ).

cnf(c_0_48,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_49,negated_conjecture,
    ( ssItem(X1)
    | ~ ssList(app(sk3,cons(sk5,X2)))
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

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

cnf(c_0_51,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_52,plain,
    ( frontsegP(X3,X1)
    | app(X1,X2) != X3
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    inference(fof_simplification,[status(thm)],[clause144]) ).

cnf(c_0_53,negated_conjecture,
    ( ssItem(X1)
    | ~ ssList(cons(sk5,X2))
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_40])]) ).

cnf(c_0_54,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    c_0_51 ).

cnf(c_0_55,plain,
    ( frontsegP(X3,X1)
    | app(X1,X2) != X3
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    c_0_52 ).

cnf(c_0_56,negated_conjecture,
    ( ssItem(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_39])]) ).

cnf(c_0_57,plain,
    ( frontsegP(app(X1,X2),X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_55]),c_0_50]) ).

cnf(c_0_58,negated_conjecture,
    ssItem(X1),
    inference(spm,[status(thm)],[c_0_56,c_0_44]) ).

cnf(c_0_59,plain,
    ( rearsegP(app(X3,X1),X2)
    | ~ rearsegP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause136]) ).

cnf(c_0_60,plain,
    ( rearsegP(X1,nil)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause58]) ).

cnf(c_0_61,plain,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause132]) ).

cnf(c_0_62,negated_conjecture,
    ( frontsegP(sk3,skaf42(sk3,sk5))
    | ~ ssList(cons(sk5,skaf43(sk5,sk3))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_42]),c_0_44])]) ).

cnf(c_0_63,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_58])]) ).

cnf(c_0_64,plain,
    ( rearsegP(app(X3,X1),X2)
    | ~ rearsegP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_59 ).

cnf(c_0_65,plain,
    ( rearsegP(X1,nil)
    | ~ ssList(X1) ),
    c_0_60 ).

cnf(c_0_66,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_67,plain,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_61 ).

cnf(c_0_68,negated_conjecture,
    frontsegP(sk3,skaf42(sk3,sk5)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_43])]) ).

cnf(c_0_69,plain,
    ( app(skaf46(X1,X2),X2) = X1
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause131]) ).

cnf(c_0_70,plain,
    ( rearsegP(app(X1,X2),nil)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]) ).

cnf(c_0_71,negated_conjecture,
    app(skaf42(sk3,sk5),skaf45(sk3,skaf42(sk3,sk5))) = sk3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_44]),c_0_40])]) ).

cnf(c_0_72,axiom,
    ssList(skaf45(X1,X2)),
    clause51 ).

cnf(c_0_73,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause73]) ).

cnf(c_0_74,plain,
    ( app(skaf46(X1,X2),X2) = X1
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_69 ).

cnf(c_0_75,negated_conjecture,
    rearsegP(sk3,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_44]),c_0_72])]) ).

cnf(c_0_76,plain,
    ( app(app(X3,X2),X1) = app(X3,app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(fof_simplification,[status(thm)],[clause149]) ).

cnf(c_0_77,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    c_0_73 ).

cnf(c_0_78,negated_conjecture,
    app(skaf46(sk3,nil),nil) = sk3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_66]),c_0_40])]) ).

cnf(c_0_79,axiom,
    ssList(skaf46(X1,X2)),
    clause50 ).

cnf(c_0_80,plain,
    ( memberP(app(X1,X3),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(fof_simplification,[status(thm)],[clause140]) ).

cnf(c_0_81,plain,
    ( memberP(app(X3,X1),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    inference(fof_simplification,[status(thm)],[clause141]) ).

cnf(c_0_82,plain,
    ( app(app(X3,X2),X1) = app(X3,app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    c_0_76 ).

cnf(c_0_83,negated_conjecture,
    skaf46(sk3,nil) = sk3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79])]) ).

cnf(c_0_84,plain,
    ( memberP(app(X1,X3),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    c_0_80 ).

cnf(c_0_85,plain,
    ( memberP(app(X3,X1),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    c_0_81 ).

cnf(c_0_86,plain,
    ( ssList(app(X1,app(X2,X3)))
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_82]),c_0_50]) ).

cnf(c_0_87,negated_conjecture,
    app(sk3,nil) = sk3,
    inference(rw,[status(thm)],[c_0_78,c_0_83]) ).

cnf(c_0_88,plain,
    ( app(app(skaf47(X1,X2),X2),skaf48(X2,X1)) = X1
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause168]) ).

cnf(c_0_89,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_90,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_91,negated_conjecture,
    ~ memberP(sk2,sk5),
    inference(fof_simplification,[status(thm)],[co1_9]) ).

cnf(c_0_92,plain,
    ( memberP(app(X1,X2),X3)
    | ~ memberP(X1,X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_58])]) ).

cnf(c_0_93,negated_conjecture,
    ( memberP(app(X1,sk3),sk5)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_38]),c_0_39]),c_0_40])]) ).

cnf(c_0_94,negated_conjecture,
    ( ssList(app(X1,sk3))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_66]),c_0_40])]) ).

cnf(c_0_95,plain,
    ( app(app(skaf47(X1,X2),X2),skaf48(X2,X1)) = X1
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_88 ).

cnf(c_0_96,negated_conjecture,
    ( nil = sk3
    | segmentP(sk4,sk3) ),
    co1_13 ).

cnf(c_0_97,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_98,negated_conjecture,
    ~ memberP(sk2,sk5),
    c_0_91 ).

cnf(c_0_99,plain,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    inference(fof_simplification,[status(thm)],[clause71]) ).

cnf(c_0_100,negated_conjecture,
    ( memberP(app(app(X1,sk3),X2),sk5)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).

cnf(c_0_101,negated_conjecture,
    ( app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4)) = sk4
    | sk3 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_40]),c_0_97])]) ).

cnf(c_0_102,axiom,
    ssList(skaf48(X1,X2)),
    clause48 ).

cnf(c_0_103,axiom,
    ssList(skaf47(X1,X2)),
    clause49 ).

cnf(c_0_104,negated_conjecture,
    ~ memberP(sk4,sk5),
    inference(rw,[status(thm)],[c_0_98,c_0_90]) ).

cnf(c_0_105,plain,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    c_0_99 ).

cnf(c_0_106,negated_conjecture,
    sk3 = nil,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_103])]),c_0_104]) ).

cnf(c_0_107,plain,
    ~ memberP(nil,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_58])]) ).

cnf(c_0_108,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_106]),c_0_107]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC394-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 03:20:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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
% 2.17/0.78  # Version: 3.1.0
% 2.17/0.78  # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.17/0.78  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.17/0.78  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.17/0.78  # Starting new_bool_3 with 300s (1) cores
% 2.17/0.78  # Starting new_bool_1 with 300s (1) cores
% 2.17/0.78  # Starting sh5l with 300s (1) cores
% 2.17/0.78  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 18195 completed with status 0
% 2.17/0.78  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.17/0.78  # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.17/0.78  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.17/0.78  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.17/0.78  # No SInE strategy applied
% 2.17/0.78  # Search class: FGHSM-FSLM21-MFFFFFNN
% 2.17/0.78  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 2.17/0.78  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 2.17/0.78  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.17/0.78  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 2.17/0.78  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 2.17/0.78  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 136s (1) cores
% 2.17/0.78  # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 18201 completed with status 0
% 2.17/0.78  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 2.17/0.78  # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.17/0.78  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.17/0.78  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.17/0.78  # No SInE strategy applied
% 2.17/0.78  # Search class: FGHSM-FSLM21-MFFFFFNN
% 2.17/0.78  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 2.17/0.78  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 2.17/0.78  # Preprocessing time       : 0.005 s
% 2.17/0.78  # Presaturation interreduction done
% 2.17/0.78  
% 2.17/0.78  # Proof found!
% 2.17/0.78  # SZS status Unsatisfiable
% 2.17/0.78  # SZS output start CNFRefutation
% See solution above
% 2.17/0.78  # Parsed axioms                        : 198
% 2.17/0.78  # Removed by relevancy pruning/SinE    : 0
% 2.17/0.78  # Initial clauses                      : 198
% 2.17/0.78  # Removed in clause preprocessing      : 0
% 2.17/0.78  # Initial clauses in saturation        : 198
% 2.17/0.78  # Processed clauses                    : 3131
% 2.17/0.78  # ...of these trivial                  : 21
% 2.17/0.78  # ...subsumed                          : 1898
% 2.17/0.78  # ...remaining for further processing  : 1212
% 2.17/0.78  # Other redundant clauses eliminated   : 266
% 2.17/0.78  # Clauses deleted for lack of memory   : 0
% 2.17/0.78  # Backward-subsumed                    : 51
% 2.17/0.78  # Backward-rewritten                   : 346
% 2.17/0.78  # Generated clauses                    : 9248
% 2.17/0.78  # ...of the previous two non-redundant : 8165
% 2.17/0.78  # ...aggressively subsumed             : 0
% 2.17/0.78  # Contextual simplify-reflections      : 120
% 2.17/0.78  # Paramodulations                      : 8974
% 2.17/0.78  # Factorizations                       : 0
% 2.17/0.78  # NegExts                              : 0
% 2.17/0.78  # Equation resolutions                 : 275
% 2.17/0.78  # Disequality decompositions           : 0
% 2.17/0.78  # Total rewrite steps                  : 10326
% 2.17/0.78  # ...of those cached                   : 9966
% 2.17/0.78  # Propositional unsat checks           : 0
% 2.17/0.78  #    Propositional check models        : 0
% 2.17/0.78  #    Propositional check unsatisfiable : 0
% 2.17/0.78  #    Propositional clauses             : 0
% 2.17/0.78  #    Propositional clauses after purity: 0
% 2.17/0.78  #    Propositional unsat core size     : 0
% 2.17/0.78  #    Propositional preprocessing time  : 0.000
% 2.17/0.78  #    Propositional encoding time       : 0.000
% 2.17/0.78  #    Propositional solver time         : 0.000
% 2.17/0.78  #    Success case prop preproc time    : 0.000
% 2.17/0.78  #    Success case prop encoding time   : 0.000
% 2.17/0.78  #    Success case prop solver time     : 0.000
% 2.17/0.78  # Current number of processed clauses  : 602
% 2.17/0.78  #    Positive orientable unit clauses  : 86
% 2.17/0.78  #    Positive unorientable unit clauses: 0
% 2.17/0.78  #    Negative unit clauses             : 7
% 2.17/0.78  #    Non-unit-clauses                  : 509
% 2.17/0.78  # Current number of unprocessed clauses: 4884
% 2.17/0.78  # ...number of literals in the above   : 22443
% 2.17/0.78  # Current number of archived formulas  : 0
% 2.17/0.78  # Current number of archived clauses   : 587
% 2.17/0.78  # Clause-clause subsumption calls (NU) : 98951
% 2.17/0.78  # Rec. Clause-clause subsumption calls : 26894
% 2.17/0.78  # Non-unit clause-clause subsumptions  : 1641
% 2.17/0.78  # Unit Clause-clause subsumption calls : 453
% 2.17/0.78  # Rewrite failures with RHS unbound    : 0
% 2.17/0.78  # BW rewrite match attempts            : 68
% 2.17/0.78  # BW rewrite match successes           : 42
% 2.17/0.78  # Condensation attempts                : 0
% 2.17/0.78  # Condensation successes               : 0
% 2.17/0.78  # Termbank termtop insertions          : 164383
% 2.17/0.78  # Search garbage collected termcells   : 529
% 2.17/0.78  
% 2.17/0.78  # -------------------------------------------------
% 2.17/0.78  # User time                : 0.261 s
% 2.17/0.78  # System time              : 0.012 s
% 2.17/0.78  # Total time               : 0.273 s
% 2.17/0.78  # Maximum resident set size: 2132 pages
% 2.17/0.78  
% 2.17/0.78  # -------------------------------------------------
% 2.17/0.78  # User time                : 1.218 s
% 2.17/0.78  # System time              : 0.057 s
% 2.17/0.78  # Total time               : 1.276 s
% 2.17/0.78  # Maximum resident set size: 1896 pages
% 2.17/0.78  % E---3.1 exiting
% 2.17/0.78  % E exiting
%------------------------------------------------------------------------------