TSTP Solution File: SWC015-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWC015-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 04:26:56 EDT 2024

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   24
% Syntax   : Number of clauses     :  107 (  21 unt;  43 nHn; 105 RR)
%            Number of literals    :  320 ( 140 equ; 173 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :  114 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_7,negated_conjecture,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(co1_11,negated_conjecture,
    ( sk4 = X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | tl(sk4) != X2
    | app(sk3,X2) != X1
    | ~ neq(nil,sk4)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

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,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    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(clause75,axiom,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause75) ).

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

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

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

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

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

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

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

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

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

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

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

cnf(co1_12,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | cons(X1,nil) != sk1
    | app(cons(X1,nil),X2) != sk2
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

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

cnf(clause115,axiom,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).

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

cnf(clause99,axiom,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause99) ).

cnf(c_0_24,negated_conjecture,
    neq(sk2,nil),
    inference(fof_simplification,[status(thm)],[co1_7]) ).

cnf(c_0_25,negated_conjecture,
    ( sk4 = X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | tl(sk4) != X2
    | app(sk3,X2) != X1
    | ~ neq(nil,sk4)
    | ~ neq(sk4,nil) ),
    inference(fof_simplification,[status(thm)],[co1_11]) ).

cnf(c_0_26,negated_conjecture,
    neq(sk2,nil),
    c_0_24 ).

cnf(c_0_27,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_28,negated_conjecture,
    ( sk4 = X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | tl(sk4) != X2
    | app(sk3,X2) != X1
    | ~ neq(nil,sk4)
    | ~ neq(sk4,nil) ),
    c_0_25 ).

cnf(c_0_29,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_30,negated_conjecture,
    neq(sk4,nil),
    inference(rw,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_31,plain,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause100]) ).

cnf(c_0_32,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_33,negated_conjecture,
    ( app(sk1,tl(sk4)) = sk4
    | ~ neq(nil,sk4)
    | ~ ssList(app(sk1,tl(sk4)))
    | ~ ssList(tl(sk4)) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29]),c_0_30])])])]) ).

cnf(c_0_34,plain,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    c_0_31 ).

cnf(c_0_35,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_36,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_32,c_0_27]) ).

cnf(c_0_37,plain,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause75]) ).

cnf(c_0_38,negated_conjecture,
    ( app(sk1,tl(sk4)) = sk4
    | nil = sk4
    | ~ ssList(app(sk1,tl(sk4)))
    | ~ ssList(tl(sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36])]) ).

cnf(c_0_39,plain,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    c_0_37 ).

cnf(c_0_40,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_41,plain,
    ( frontsegP(X3,X1)
    | app(X1,X2) != X3
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    inference(fof_simplification,[status(thm)],[clause144]) ).

cnf(c_0_42,negated_conjecture,
    ( app(sk1,tl(sk4)) = sk4
    | nil = sk4
    | ~ ssList(app(sk1,tl(sk4))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_36])]) ).

cnf(c_0_43,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    c_0_40 ).

cnf(c_0_44,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_45,plain,
    ( frontsegP(X3,X1)
    | app(X1,X2) != X3
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    c_0_41 ).

cnf(c_0_46,negated_conjecture,
    ( app(sk1,tl(sk4)) = sk4
    | nil = sk4
    | ~ ssList(tl(sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).

cnf(c_0_47,plain,
    ( frontsegP(app(X1,X2),X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_45]),c_0_43]) ).

cnf(c_0_48,negated_conjecture,
    ( app(sk1,tl(sk4)) = sk4
    | nil = sk4 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_39]),c_0_36])]) ).

cnf(c_0_49,plain,
    ( X2 = X3
    | app(X1,X2) != app(X1,X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    inference(fof_simplification,[status(thm)],[clause150]) ).

cnf(c_0_50,plain,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause132]) ).

cnf(c_0_51,negated_conjecture,
    ( nil = sk4
    | frontsegP(sk4,sk1)
    | ~ ssList(tl(sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_44])]) ).

cnf(c_0_52,plain,
    ( nil = X2
    | hd(app(X2,X1)) = hd(X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause123]) ).

cnf(c_0_53,plain,
    ( X2 = X3
    | app(X1,X2) != app(X1,X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    c_0_49 ).

cnf(c_0_54,plain,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_50 ).

cnf(c_0_55,negated_conjecture,
    ( nil = sk4
    | frontsegP(sk4,sk1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_39]),c_0_36])]) ).

cnf(c_0_56,plain,
    ( nil = X2
    | hd(app(X2,X1)) = hd(X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    c_0_52 ).

cnf(c_0_57,negated_conjecture,
    ( tl(sk4) = X1
    | nil = sk4
    | app(sk1,X1) != sk4
    | ~ ssList(tl(sk4))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_48]),c_0_44])]) ).

cnf(c_0_58,negated_conjecture,
    ( app(sk1,skaf45(sk4,sk1)) = sk4
    | nil = sk4 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_44]),c_0_36])]) ).

cnf(c_0_59,axiom,
    ssList(skaf45(X1,X2)),
    clause51 ).

cnf(c_0_60,plain,
    ( cons(hd(X1),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause104]) ).

cnf(c_0_61,negated_conjecture,
    ( hd(sk4) = hd(sk1)
    | nil = sk4
    | nil = sk1
    | ~ ssList(tl(sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_48]),c_0_44])]) ).

cnf(c_0_62,plain,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause76]) ).

cnf(c_0_63,negated_conjecture,
    ( skaf45(sk4,sk1) = tl(sk4)
    | nil = sk4
    | ~ ssList(tl(sk4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]) ).

cnf(c_0_64,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause120]) ).

cnf(c_0_65,plain,
    ( cons(hd(X1),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    c_0_60 ).

cnf(c_0_66,negated_conjecture,
    ( hd(sk4) = hd(sk1)
    | nil = sk1
    | nil = sk4 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_39]),c_0_36])]) ).

cnf(c_0_67,plain,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    c_0_62 ).

cnf(c_0_68,plain,
    ( X1 = X3
    | app(X1,X2) != app(X3,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(fof_simplification,[status(thm)],[clause151]) ).

cnf(c_0_69,negated_conjecture,
    ( skaf45(sk4,sk1) = tl(sk4)
    | nil = sk4 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_39]),c_0_36])]) ).

cnf(c_0_70,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    c_0_64 ).

cnf(c_0_71,negated_conjecture,
    ( cons(hd(sk1),tl(sk4)) = sk4
    | nil = sk1
    | nil = sk4 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_36])]) ).

cnf(c_0_72,negated_conjecture,
    ( nil = sk1
    | nil = sk4
    | ssItem(hd(sk1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_66]),c_0_36])]) ).

cnf(c_0_73,plain,
    ( X1 = X3
    | app(X1,X2) != app(X3,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    c_0_68 ).

cnf(c_0_74,negated_conjecture,
    ( nil = sk4
    | ssList(tl(sk4)) ),
    inference(spm,[status(thm)],[c_0_59,c_0_69]) ).

cnf(c_0_75,negated_conjecture,
    ( app(cons(hd(sk1),nil),tl(sk4)) = sk4
    | nil = sk4
    | nil = sk1
    | ~ ssList(tl(sk4)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).

cnf(c_0_76,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | cons(X1,nil) != sk1
    | app(cons(X1,nil),X2) != sk2
    | ~ neq(sk4,nil) ),
    inference(fof_simplification,[status(thm)],[co1_12]) ).

cnf(c_0_77,negated_conjecture,
    ( nil = sk4
    | sk1 = X1
    | app(X1,tl(sk4)) != sk4
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_48]),c_0_44])]),c_0_74]) ).

cnf(c_0_78,negated_conjecture,
    ( app(cons(hd(sk1),nil),tl(sk4)) = sk4
    | nil = sk1
    | nil = sk4 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_39]),c_0_36])]) ).

cnf(c_0_79,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_80,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | cons(X1,nil) != sk1
    | app(cons(X1,nil),X2) != sk2
    | ~ neq(sk4,nil) ),
    c_0_76 ).

cnf(c_0_81,negated_conjecture,
    ( cons(hd(sk1),nil) = sk1
    | nil = sk1
    | nil = sk4
    | ~ ssList(cons(hd(sk1),nil)) ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_82,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    c_0_79 ).

cnf(c_0_83,negated_conjecture,
    ( app(cons(X1,nil),X2) != sk4
    | cons(X1,nil) != sk1
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_27]),c_0_30])]) ).

cnf(c_0_84,negated_conjecture,
    ( cons(hd(sk1),nil) = sk1
    | nil = sk4
    | nil = sk1 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_35])]),c_0_72]) ).

cnf(c_0_85,plain,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause115]) ).

cnf(c_0_86,negated_conjecture,
    ( nil = sk1
    | nil = sk4
    | app(sk1,X1) != sk4
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_72]) ).

cnf(c_0_87,plain,
    ( X1 != X2
    | ~ neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_85 ).

cnf(c_0_88,negated_conjecture,
    ( nil = sk4
    | nil = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_58]),c_0_59])]) ).

cnf(c_0_89,plain,
    ( ~ neq(X1,X1)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_87]) ).

cnf(c_0_90,negated_conjecture,
    ( nil = sk1
    | neq(sk4,sk4) ),
    inference(spm,[status(thm)],[c_0_30,c_0_88]) ).

cnf(c_0_91,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_92,plain,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause99]) ).

cnf(c_0_93,negated_conjecture,
    nil = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_36])]) ).

cnf(c_0_94,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    c_0_91 ).

cnf(c_0_95,plain,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    c_0_92 ).

cnf(c_0_96,negated_conjecture,
    ( app(sk1,skaf45(sk4,sk1)) = sk4
    | sk4 = sk1 ),
    inference(rw,[status(thm)],[c_0_58,c_0_93]) ).

cnf(c_0_97,plain,
    ( app(sk1,X1) = X1
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_94,c_0_93]) ).

cnf(c_0_98,plain,
    ( nil = X1
    | tl(X1) != X1
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_65]),c_0_39]),c_0_67]) ).

cnf(c_0_99,negated_conjecture,
    ( skaf45(sk4,sk1) = tl(sk4)
    | sk4 = sk1 ),
    inference(rw,[status(thm)],[c_0_69,c_0_93]) ).

cnf(c_0_100,negated_conjecture,
    ( skaf45(sk4,sk1) = sk4
    | sk4 = sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_59])]) ).

cnf(c_0_101,plain,
    ( sk1 = X1
    | tl(X1) != X1
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_98,c_0_93]) ).

cnf(c_0_102,negated_conjecture,
    ( tl(sk4) = sk4
    | sk4 = sk1 ),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_103,negated_conjecture,
    neq(sk4,sk1),
    inference(rw,[status(thm)],[c_0_30,c_0_93]) ).

cnf(c_0_104,negated_conjecture,
    sk4 = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_36])]) ).

cnf(c_0_105,negated_conjecture,
    neq(sk1,sk1),
    inference(rw,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_106,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_105]),c_0_44])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWC015-1 : TPTP v8.2.0. Released v2.4.0.
% 0.10/0.13  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun May 19 03:34:22 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.19/0.46  Running first-order model finding
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53  # Version: 3.1.0
% 0.19/0.53  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.53  # Starting sh5l with 300s (1) cores
% 0.19/0.53  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 25890 completed with status 0
% 0.19/0.53  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.19/0.53  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.53  # No SInE strategy applied
% 0.19/0.53  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.19/0.53  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.53  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 0.19/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.19/0.53  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.19/0.53  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.19/0.53  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 136s (1) cores
% 0.19/0.53  # G-E--_200_B02_F1_SE_CS_SP_PI_S2k with pid 25898 completed with status 0
% 0.19/0.53  # Result found by G-E--_200_B02_F1_SE_CS_SP_PI_S2k
% 0.19/0.53  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.53  # No SInE strategy applied
% 0.19/0.53  # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.19/0.53  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.53  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 406s (1) cores
% 0.19/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.19/0.53  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.19/0.53  # Preprocessing time       : 0.003 s
% 0.19/0.53  
% 0.19/0.53  # Proof found!
% 0.19/0.53  # SZS status Unsatisfiable
% 0.19/0.53  # SZS output start CNFRefutation
% See solution above
% 0.19/0.53  # Parsed axioms                        : 197
% 0.19/0.53  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.53  # Initial clauses                      : 197
% 0.19/0.53  # Removed in clause preprocessing      : 0
% 0.19/0.53  # Initial clauses in saturation        : 197
% 0.19/0.53  # Processed clauses                    : 527
% 0.19/0.53  # ...of these trivial                  : 8
% 0.19/0.53  # ...subsumed                          : 153
% 0.19/0.53  # ...remaining for further processing  : 366
% 0.19/0.53  # Other redundant clauses eliminated   : 85
% 0.19/0.53  # Clauses deleted for lack of memory   : 0
% 0.19/0.53  # Backward-subsumed                    : 30
% 0.19/0.53  # Backward-rewritten                   : 119
% 0.19/0.53  # Generated clauses                    : 1390
% 0.19/0.53  # ...of the previous two non-redundant : 1289
% 0.19/0.53  # ...aggressively subsumed             : 0
% 0.19/0.53  # Contextual simplify-reflections      : 27
% 0.19/0.53  # Paramodulations                      : 1298
% 0.19/0.53  # Factorizations                       : 1
% 0.19/0.53  # NegExts                              : 0
% 0.19/0.53  # Equation resolutions                 : 93
% 0.19/0.53  # Disequality decompositions           : 0
% 0.19/0.53  # Total rewrite steps                  : 1334
% 0.19/0.53  # ...of those cached                   : 1250
% 0.19/0.53  # Propositional unsat checks           : 0
% 0.19/0.53  #    Propositional check models        : 0
% 0.19/0.53  #    Propositional check unsatisfiable : 0
% 0.19/0.53  #    Propositional clauses             : 0
% 0.19/0.53  #    Propositional clauses after purity: 0
% 0.19/0.53  #    Propositional unsat core size     : 0
% 0.19/0.53  #    Propositional preprocessing time  : 0.000
% 0.19/0.53  #    Propositional encoding time       : 0.000
% 0.19/0.53  #    Propositional solver time         : 0.000
% 0.19/0.53  #    Success case prop preproc time    : 0.000
% 0.19/0.53  #    Success case prop encoding time   : 0.000
% 0.19/0.53  #    Success case prop solver time     : 0.000
% 0.19/0.53  # Current number of processed clauses  : 193
% 0.19/0.53  #    Positive orientable unit clauses  : 63
% 0.19/0.53  #    Positive unorientable unit clauses: 0
% 0.19/0.53  #    Negative unit clauses             : 2
% 0.19/0.53  #    Non-unit-clauses                  : 128
% 0.19/0.53  # Current number of unprocessed clauses: 939
% 0.19/0.53  # ...number of literals in the above   : 5176
% 0.19/0.53  # Current number of archived formulas  : 0
% 0.19/0.53  # Current number of archived clauses   : 149
% 0.19/0.53  # Clause-clause subsumption calls (NU) : 10026
% 0.19/0.53  # Rec. Clause-clause subsumption calls : 1820
% 0.19/0.53  # Non-unit clause-clause subsumptions  : 163
% 0.19/0.53  # Unit Clause-clause subsumption calls : 115
% 0.19/0.53  # Rewrite failures with RHS unbound    : 0
% 0.19/0.53  # BW rewrite match attempts            : 4
% 0.19/0.53  # BW rewrite match successes           : 4
% 0.19/0.53  # Condensation attempts                : 0
% 0.19/0.53  # Condensation successes               : 0
% 0.19/0.53  # Termbank termtop insertions          : 31784
% 0.19/0.53  # Search garbage collected termcells   : 559
% 0.19/0.53  
% 0.19/0.53  # -------------------------------------------------
% 0.19/0.53  # User time                : 0.053 s
% 0.19/0.53  # System time              : 0.005 s
% 0.19/0.53  # Total time               : 0.058 s
% 0.19/0.53  # Maximum resident set size: 2152 pages
% 0.19/0.53  
% 0.19/0.53  # -------------------------------------------------
% 0.19/0.53  # User time                : 0.261 s
% 0.19/0.53  # System time              : 0.020 s
% 0.19/0.53  # Total time               : 0.282 s
% 0.19/0.53  # Maximum resident set size: 1876 pages
% 0.19/0.53  % E---3.1 exiting
%------------------------------------------------------------------------------