TSTP Solution File: SWC061-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWC061-1 : 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 04:27:22 EDT 2024

% Result   : Unsatisfiable 0.63s 0.56s
% Output   : CNFRefutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   25
% Syntax   : Number of clauses     :  109 (  29 unt;   8 nHn; 109 RR)
%            Number of literals    :  268 (  90 equ; 158 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   90 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_14,negated_conjecture,
    ( neq(sk2,nil)
    | nil != sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

cnf(co1_11,negated_conjecture,
    ( app(sk6,cons(sk5,nil)) = sk3
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(co1_9,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

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

cnf(clause119,axiom,
    ( nil = X2
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).

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

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

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

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

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

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

cnf(co1_12,negated_conjecture,
    ( nil = sk2
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(co1_10,negated_conjecture,
    ( app(cons(sk5,nil),sk6) = sk4
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

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

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

cnf(clause173,axiom,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).

cnf(co1_13,negated_conjecture,
    ( nil = sk2
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(sk2,X1)
    | ~ segmentP(sk1,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

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

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

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

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

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

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

cnf(c_0_25,negated_conjecture,
    ( neq(sk2,nil)
    | nil != sk1 ),
    inference(fof_simplification,[status(thm)],[co1_14]) ).

cnf(c_0_26,negated_conjecture,
    ( app(sk6,cons(sk5,nil)) = sk3
    | ~ neq(sk4,nil) ),
    inference(fof_simplification,[status(thm)],[co1_11]) ).

cnf(c_0_27,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    inference(fof_simplification,[status(thm)],[co1_9]) ).

cnf(c_0_28,negated_conjecture,
    ( neq(sk2,nil)
    | nil != sk1 ),
    c_0_25 ).

cnf(c_0_29,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_30,plain,
    ( nil = X2
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause119]) ).

cnf(c_0_31,negated_conjecture,
    ( app(sk6,cons(sk5,nil)) = sk3
    | ~ neq(sk4,nil) ),
    c_0_26 ).

cnf(c_0_32,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_33,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    c_0_27 ).

cnf(c_0_34,negated_conjecture,
    ( neq(sk4,nil)
    | sk1 != nil ),
    inference(rw,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_35,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    inference(fof_simplification,[status(thm)],[co1_8]) ).

cnf(c_0_36,plain,
    ( nil = X2
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_30 ).

cnf(c_0_37,negated_conjecture,
    ( app(sk6,cons(sk5,nil)) = sk1
    | ~ neq(sk4,nil) ),
    inference(rw,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_38,negated_conjecture,
    ( ssList(sk6)
    | sk1 != nil ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_39,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause86]) ).

cnf(c_0_40,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    c_0_35 ).

cnf(c_0_41,plain,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause99]) ).

cnf(c_0_42,negated_conjecture,
    ( cons(sk5,nil) = nil
    | sk1 != nil
    | ~ ssList(cons(sk5,nil)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_34]) ).

cnf(c_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    c_0_39 ).

cnf(c_0_44,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_45,negated_conjecture,
    ( ssItem(sk5)
    | sk1 != nil ),
    inference(spm,[status(thm)],[c_0_40,c_0_34]) ).

cnf(c_0_46,negated_conjecture,
    ( nil = sk3
    | nil != sk4 ),
    inference(fof_simplification,[status(thm)],[co1_7]) ).

cnf(c_0_47,plain,
    ( cons(X1,X2) != X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    c_0_41 ).

cnf(c_0_48,negated_conjecture,
    ( cons(sk5,nil) = nil
    | sk1 != nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]),c_0_45]) ).

cnf(c_0_49,negated_conjecture,
    ( nil = sk3
    | nil != sk4 ),
    c_0_46 ).

cnf(c_0_50,negated_conjecture,
    ( nil = sk2
    | neq(sk2,nil) ),
    co1_12 ).

cnf(c_0_51,negated_conjecture,
    sk1 != nil,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_44])]),c_0_45]) ).

cnf(c_0_52,negated_conjecture,
    ( sk1 = nil
    | sk4 != nil ),
    inference(rw,[status(thm)],[c_0_49,c_0_32]) ).

cnf(c_0_53,negated_conjecture,
    ( app(cons(sk5,nil),sk6) = sk4
    | ~ neq(sk4,nil) ),
    inference(fof_simplification,[status(thm)],[co1_10]) ).

cnf(c_0_54,negated_conjecture,
    ( sk4 = nil
    | neq(sk4,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_29]),c_0_29]) ).

cnf(c_0_55,negated_conjecture,
    sk4 != nil,
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_56,plain,
    ( X2 = X3
    | app(X1,X2) != app(X1,X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    inference(fof_simplification,[status(thm)],[clause150]) ).

cnf(c_0_57,negated_conjecture,
    ( app(cons(sk5,nil),sk6) = sk4
    | ~ neq(sk4,nil) ),
    c_0_53 ).

cnf(c_0_58,negated_conjecture,
    neq(sk4,nil),
    inference(sr,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_59,negated_conjecture,
    ( sk4 = nil
    | ssList(sk6) ),
    inference(spm,[status(thm)],[c_0_33,c_0_54]) ).

cnf(c_0_60,plain,
    ( X2 = X3
    | app(X1,X2) != app(X1,X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    c_0_56 ).

cnf(c_0_61,negated_conjecture,
    app(cons(sk5,nil),sk6) = sk4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]) ).

cnf(c_0_62,negated_conjecture,
    ssList(sk6),
    inference(sr,[status(thm)],[c_0_59,c_0_55]) ).

cnf(c_0_63,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause120]) ).

cnf(c_0_64,negated_conjecture,
    ( sk4 = nil
    | ssItem(sk5) ),
    inference(spm,[status(thm)],[c_0_40,c_0_54]) ).

cnf(c_0_65,negated_conjecture,
    ( sk6 = X1
    | app(cons(sk5,nil),X1) != sk4
    | ~ ssList(cons(sk5,nil))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]) ).

cnf(c_0_66,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    c_0_63 ).

cnf(c_0_67,negated_conjecture,
    ssItem(sk5),
    inference(sr,[status(thm)],[c_0_64,c_0_55]) ).

cnf(c_0_68,negated_conjecture,
    ( sk6 = X1
    | cons(sk5,X1) != sk4
    | ~ ssList(cons(sk5,nil))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).

cnf(c_0_69,plain,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(fof_simplification,[status(thm)],[clause157]) ).

cnf(c_0_70,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_71,plain,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    inference(fof_simplification,[status(thm)],[clause173]) ).

cnf(c_0_72,negated_conjecture,
    ( sk6 = X1
    | cons(sk5,X1) != sk4
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_43]),c_0_67]),c_0_44])]) ).

cnf(c_0_73,plain,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    c_0_69 ).

cnf(c_0_74,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    c_0_70 ).

cnf(c_0_75,plain,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    c_0_71 ).

cnf(c_0_76,negated_conjecture,
    ( app(X1,X2) = sk6
    | app(cons(sk5,X1),X2) != sk4
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_67])]),c_0_74]) ).

cnf(c_0_77,negated_conjecture,
    ( nil = sk2
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(sk2,X1)
    | ~ segmentP(sk1,X1) ),
    inference(fof_simplification,[status(thm)],[co1_13]) ).

cnf(c_0_78,plain,
    ( segmentP(app(app(X1,X2),X3),X2)
    | ~ ssList(app(app(X1,X2),X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_75]) ).

cnf(c_0_79,negated_conjecture,
    app(nil,sk6) = sk6,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_61]),c_0_62]),c_0_44])]) ).

cnf(c_0_80,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause73]) ).

cnf(c_0_81,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_82,negated_conjecture,
    ( nil = sk2
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(sk2,X1)
    | ~ segmentP(sk1,X1) ),
    c_0_77 ).

cnf(c_0_83,plain,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause100]) ).

cnf(c_0_84,negated_conjecture,
    ( segmentP(app(sk6,X1),sk6)
    | ~ ssList(app(sk6,X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_62]),c_0_44])]) ).

cnf(c_0_85,negated_conjecture,
    app(sk6,cons(sk5,nil)) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_58])]) ).

cnf(c_0_86,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_87,negated_conjecture,
    ( segmentP(app(sk4,X1),sk6)
    | ~ ssList(cons(sk5,nil))
    | ~ ssList(app(sk4,X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_61]),c_0_62])]) ).

cnf(c_0_88,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    c_0_80 ).

cnf(c_0_89,negated_conjecture,
    ssList(sk4),
    inference(rw,[status(thm)],[c_0_81,c_0_29]) ).

cnf(c_0_90,negated_conjecture,
    ( sk4 = nil
    | ~ neq(X1,nil)
    | ~ segmentP(sk1,X1)
    | ~ segmentP(sk4,X1)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_29]),c_0_29]) ).

cnf(c_0_91,plain,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    c_0_83 ).

cnf(c_0_92,negated_conjecture,
    ( segmentP(sk1,sk6)
    | ~ ssList(cons(sk5,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86])]) ).

cnf(c_0_93,negated_conjecture,
    ( segmentP(sk4,sk6)
    | ~ ssList(cons(sk5,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]),c_0_44])]) ).

cnf(c_0_94,negated_conjecture,
    ( nil = X1
    | ~ segmentP(sk1,X1)
    | ~ segmentP(sk4,X1)
    | ~ ssList(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_44])]),c_0_55]) ).

cnf(c_0_95,negated_conjecture,
    segmentP(sk1,sk6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_43]),c_0_67]),c_0_44])]) ).

cnf(c_0_96,negated_conjecture,
    segmentP(sk4,sk6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_43]),c_0_67]),c_0_44])]) ).

cnf(c_0_97,negated_conjecture,
    cons(sk5,sk6) = sk4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_61]),c_0_67]),c_0_62])]) ).

cnf(c_0_98,negated_conjecture,
    sk6 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]),c_0_62])]) ).

cnf(c_0_99,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause57]) ).

cnf(c_0_100,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_101,negated_conjecture,
    cons(sk5,nil) = sk4,
    inference(rw,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_102,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    c_0_99 ).

cnf(c_0_103,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    c_0_100 ).

cnf(c_0_104,negated_conjecture,
    app(nil,sk4) = sk1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_98]),c_0_101]) ).

cnf(c_0_105,negated_conjecture,
    ~ segmentP(sk4,sk1),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_102]),c_0_86])]),c_0_51]) ).

cnf(c_0_106,negated_conjecture,
    sk1 = sk4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_89])]) ).

cnf(c_0_107,negated_conjecture,
    ~ segmentP(sk4,sk4),
    inference(rw,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_108,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_102]),c_0_89])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC061-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 03:29:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order model finding
% 0.21/0.49  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
% 0.63/0.56  # Version: 3.1.0
% 0.63/0.56  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.63/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.63/0.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.63/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.63/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.63/0.56  # Starting sh5l with 300s (1) cores
% 0.63/0.56  # new_bool_3 with pid 8346 completed with status 0
% 0.63/0.56  # Result found by new_bool_3
% 0.63/0.56  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.63/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.63/0.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.63/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.63/0.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.63/0.56  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.63/0.56  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.63/0.56  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.63/0.56  # SAT001_MinMin_p005000_rr_RG with pid 8349 completed with status 0
% 0.63/0.56  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.63/0.56  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.63/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.63/0.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.63/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.63/0.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.63/0.56  # Search class: FGHSF-FFMM22-SFFFFFNN
% 0.63/0.56  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.63/0.56  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.63/0.56  # Preprocessing time       : 0.003 s
% 0.63/0.56  # Presaturation interreduction done
% 0.63/0.56  
% 0.63/0.56  # Proof found!
% 0.63/0.56  # SZS status Unsatisfiable
% 0.63/0.56  # SZS output start CNFRefutation
% See solution above
% 0.63/0.56  # Parsed axioms                        : 200
% 0.63/0.56  # Removed by relevancy pruning/SinE    : 156
% 0.63/0.56  # Initial clauses                      : 44
% 0.63/0.56  # Removed in clause preprocessing      : 0
% 0.63/0.56  # Initial clauses in saturation        : 44
% 0.63/0.56  # Processed clauses                    : 461
% 0.63/0.56  # ...of these trivial                  : 5
% 0.63/0.56  # ...subsumed                          : 185
% 0.63/0.56  # ...remaining for further processing  : 271
% 0.63/0.56  # Other redundant clauses eliminated   : 11
% 0.63/0.56  # Clauses deleted for lack of memory   : 0
% 0.63/0.56  # Backward-subsumed                    : 44
% 0.63/0.56  # Backward-rewritten                   : 101
% 0.63/0.56  # Generated clauses                    : 696
% 0.63/0.56  # ...of the previous two non-redundant : 683
% 0.63/0.56  # ...aggressively subsumed             : 0
% 0.63/0.56  # Contextual simplify-reflections      : 23
% 0.63/0.56  # Paramodulations                      : 679
% 0.63/0.56  # Factorizations                       : 0
% 0.63/0.56  # NegExts                              : 0
% 0.63/0.56  # Equation resolutions                 : 15
% 0.63/0.56  # Disequality decompositions           : 0
% 0.63/0.56  # Total rewrite steps                  : 930
% 0.63/0.56  # ...of those cached                   : 906
% 0.63/0.56  # Propositional unsat checks           : 0
% 0.63/0.56  #    Propositional check models        : 0
% 0.63/0.56  #    Propositional check unsatisfiable : 0
% 0.63/0.56  #    Propositional clauses             : 0
% 0.63/0.56  #    Propositional clauses after purity: 0
% 0.63/0.56  #    Propositional unsat core size     : 0
% 0.63/0.56  #    Propositional preprocessing time  : 0.000
% 0.63/0.56  #    Propositional encoding time       : 0.000
% 0.63/0.56  #    Propositional solver time         : 0.000
% 0.63/0.56  #    Success case prop preproc time    : 0.000
% 0.63/0.56  #    Success case prop encoding time   : 0.000
% 0.63/0.56  #    Success case prop solver time     : 0.000
% 0.63/0.56  # Current number of processed clauses  : 76
% 0.63/0.56  #    Positive orientable unit clauses  : 13
% 0.63/0.56  #    Positive unorientable unit clauses: 0
% 0.63/0.56  #    Negative unit clauses             : 6
% 0.63/0.56  #    Non-unit-clauses                  : 57
% 0.63/0.56  # Current number of unprocessed clauses: 277
% 0.63/0.56  # ...number of literals in the above   : 1206
% 0.63/0.56  # Current number of archived formulas  : 0
% 0.63/0.56  # Current number of archived clauses   : 190
% 0.63/0.56  # Clause-clause subsumption calls (NU) : 2018
% 0.63/0.56  # Rec. Clause-clause subsumption calls : 746
% 0.63/0.56  # Non-unit clause-clause subsumptions  : 146
% 0.63/0.56  # Unit Clause-clause subsumption calls : 160
% 0.63/0.56  # Rewrite failures with RHS unbound    : 0
% 0.63/0.56  # BW rewrite match attempts            : 13
% 0.63/0.56  # BW rewrite match successes           : 13
% 0.63/0.56  # Condensation attempts                : 0
% 0.63/0.56  # Condensation successes               : 0
% 0.63/0.56  # Termbank termtop insertions          : 14318
% 0.63/0.56  # Search garbage collected termcells   : 928
% 0.63/0.56  
% 0.63/0.56  # -------------------------------------------------
% 0.63/0.56  # User time                : 0.049 s
% 0.63/0.56  # System time              : 0.006 s
% 0.63/0.56  # Total time               : 0.055 s
% 0.63/0.56  # Maximum resident set size: 2088 pages
% 0.63/0.56  
% 0.63/0.56  # -------------------------------------------------
% 0.63/0.56  # User time                : 0.052 s
% 0.63/0.56  # System time              : 0.009 s
% 0.63/0.56  # Total time               : 0.062 s
% 0.63/0.56  # Maximum resident set size: 1872 pages
% 0.63/0.56  % E---3.1 exiting
%------------------------------------------------------------------------------