TSTP Solution File: SWC075-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWC075-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 04:23:04 EDT 2024

% Result   : Unsatisfiable 1.03s 0.61s
% Output   : CNFRefutation 1.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   97 (  32 unt;   3 nHn;  97 RR)
%            Number of literals    :  250 ( 112 equ; 157 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   94 (   0 sgn)

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

cnf(co1_11,negated_conjecture,
    app(sk6,sk5) = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

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

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_9,negated_conjecture,
    ssList(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(co1_8,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

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

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

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

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

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

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

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

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

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

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

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

cnf(co1_12,negated_conjecture,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(c_0_22,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_23,negated_conjecture,
    app(sk6,sk5) = sk3,
    co1_11 ).

cnf(c_0_24,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_25,plain,
    ( X1 = X3
    | app(X1,X2) != app(X3,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(fof_simplification,[status(thm)],[clause151]) ).

cnf(c_0_26,plain,
    ( app(app(X3,X2),X1) = app(X3,app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    c_0_22 ).

cnf(c_0_27,negated_conjecture,
    app(sk6,sk5) = sk1,
    inference(rw,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_28,negated_conjecture,
    ssList(sk6),
    co1_9 ).

cnf(c_0_29,negated_conjecture,
    ssList(sk5),
    co1_8 ).

cnf(c_0_30,negated_conjecture,
    app(sk5,sk6) = sk4,
    co1_10 ).

cnf(c_0_31,negated_conjecture,
    sk2 = sk4,
    co1_5 ).

cnf(c_0_32,plain,
    ( X1 = X3
    | app(X1,X2) != app(X3,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    c_0_25 ).

cnf(c_0_33,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause74]) ).

cnf(c_0_34,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause73]) ).

cnf(c_0_35,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_36,negated_conjecture,
    ( app(sk6,app(sk5,X1)) = app(sk1,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29])]) ).

cnf(c_0_37,negated_conjecture,
    app(sk5,sk6) = sk2,
    inference(rw,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_38,negated_conjecture,
    ( X1 = sk6
    | app(X1,sk5) != sk1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_27]),c_0_28]),c_0_29])]) ).

cnf(c_0_39,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    c_0_33 ).

cnf(c_0_40,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_41,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    c_0_34 ).

cnf(c_0_42,plain,
    ( X2 = X3
    | app(X1,X2) != app(X1,X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    inference(fof_simplification,[status(thm)],[clause150]) ).

cnf(c_0_43,plain,
    ( segmentP(X4,X2)
    | app(app(X1,X2),X3) != X4
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4) ),
    c_0_35 ).

cnf(c_0_44,negated_conjecture,
    app(sk6,sk2) = app(sk1,sk6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_28])]) ).

cnf(c_0_45,negated_conjecture,
    ( sk6 = nil
    | sk5 != sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_29])]) ).

cnf(c_0_46,negated_conjecture,
    app(sk1,nil) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_41]),c_0_27]),c_0_40]),c_0_29])]) ).

cnf(c_0_47,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause85]) ).

cnf(c_0_48,plain,
    ( X2 = X3
    | app(X1,X2) != app(X1,X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    c_0_42 ).

cnf(c_0_49,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(sk2,X1)
    | ~ segmentP(sk1,X1) ),
    inference(fof_simplification,[status(thm)],[co1_7]) ).

cnf(c_0_50,plain,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(fof_simplification,[status(thm)],[clause100]) ).

cnf(c_0_51,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_43]) ).

cnf(c_0_52,negated_conjecture,
    ( app(nil,sk2) = sk1
    | sk5 != sk1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).

cnf(c_0_53,negated_conjecture,
    ssList(sk2),
    co1_2 ).

cnf(c_0_54,plain,
    ( app(nil,app(X1,X2)) = app(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_39]),c_0_40])]) ).

cnf(c_0_55,plain,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    c_0_47 ).

cnf(c_0_56,negated_conjecture,
    ( app(sk5,nil) = sk2
    | sk5 != sk1 ),
    inference(spm,[status(thm)],[c_0_37,c_0_45]) ).

cnf(c_0_57,negated_conjecture,
    ( X1 = sk6
    | app(sk5,X1) != sk2
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_37]),c_0_28]),c_0_29])]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(sk2,X1)
    | ~ segmentP(sk1,X1) ),
    c_0_49 ).

cnf(c_0_59,plain,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    c_0_50 ).

cnf(c_0_60,negated_conjecture,
    ( segmentP(app(sk2,X1),sk6)
    | ~ ssList(app(sk2,X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_37]),c_0_28]),c_0_29])]) ).

cnf(c_0_61,plain,
    ( nil = X2
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause119]) ).

cnf(c_0_62,negated_conjecture,
    ( X1 = sk2
    | app(nil,X1) != sk1
    | sk5 != sk1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_52]),c_0_53]),c_0_40])]) ).

cnf(c_0_63,negated_conjecture,
    app(nil,app(sk1,sk6)) = app(sk1,sk6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_44]),c_0_28]),c_0_53])]) ).

cnf(c_0_64,negated_conjecture,
    ssList(app(sk1,sk6)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_44]),c_0_28]),c_0_53])]) ).

cnf(c_0_65,negated_conjecture,
    ( app(sk1,sk6) = sk1
    | sk5 != sk1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_56]),c_0_40])]),c_0_44]),c_0_46]) ).

cnf(c_0_66,negated_conjecture,
    ( X1 = sk5
    | app(sk6,X1) != sk1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_27]),c_0_29]),c_0_28])]) ).

cnf(c_0_67,negated_conjecture,
    ( sk6 = nil
    | sk5 != sk2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_41]),c_0_40]),c_0_29])]) ).

cnf(c_0_68,negated_conjecture,
    ( nil = X1
    | ~ segmentP(sk1,X1)
    | ~ segmentP(sk2,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_40])]) ).

cnf(c_0_69,negated_conjecture,
    segmentP(sk2,sk6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_41]),c_0_53]),c_0_40])]) ).

cnf(c_0_70,plain,
    ( segmentP(app(X1,X2),X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_39]),c_0_40])]),c_0_55]) ).

cnf(c_0_71,plain,
    ( nil = X2
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_61 ).

cnf(c_0_72,plain,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause118]) ).

cnf(c_0_73,plain,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(fof_simplification,[status(thm)],[clause145]) ).

cnf(c_0_74,negated_conjecture,
    ( segmentP(app(sk1,X1),sk5)
    | ~ ssList(app(sk1,X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_27]),c_0_29]),c_0_28])]) ).

cnf(c_0_75,negated_conjecture,
    ( app(sk1,sk6) = sk2
    | sk5 != sk1 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]),c_0_65]) ).

cnf(c_0_76,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_77,negated_conjecture,
    ( X1 = sk5
    | app(nil,X1) != sk1
    | sk5 != sk2
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_78,negated_conjecture,
    ( sk5 = sk2
    | app(sk1,sk6) != sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_44]),c_0_53])]) ).

cnf(c_0_79,negated_conjecture,
    ( sk6 = nil
    | ~ segmentP(sk1,sk6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_28])]) ).

cnf(c_0_80,negated_conjecture,
    segmentP(sk1,sk6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_27]),c_0_29]),c_0_28])]) ).

cnf(c_0_81,negated_conjecture,
    ( sk5 = nil
    | sk1 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_27]),c_0_29]),c_0_28])]) ).

cnf(c_0_82,plain,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_72 ).

cnf(c_0_83,plain,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    c_0_73 ).

cnf(c_0_84,negated_conjecture,
    ( nil != sk2
    | nil != sk1 ),
    inference(fof_simplification,[status(thm)],[co1_12]) ).

cnf(c_0_85,negated_conjecture,
    ( segmentP(sk2,sk5)
    | sk5 != sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_53]),c_0_28])]) ).

cnf(c_0_86,negated_conjecture,
    segmentP(sk1,sk5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_41]),c_0_76]),c_0_40])]) ).

cnf(c_0_87,negated_conjecture,
    ( app(sk1,sk6) = sk5
    | app(sk1,sk6) != sk1 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_63]),c_0_64])]),c_0_78]) ).

cnf(c_0_88,negated_conjecture,
    sk6 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80])]) ).

cnf(c_0_89,negated_conjecture,
    ( app(nil,sk6) = sk2
    | sk1 != nil ),
    inference(spm,[status(thm)],[c_0_37,c_0_81]) ).

cnf(c_0_90,negated_conjecture,
    ( sk6 = nil
    | sk1 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_27]),c_0_29]),c_0_28])]) ).

cnf(c_0_91,plain,
    app(nil,nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_83])]),c_0_40])]) ).

cnf(c_0_92,negated_conjecture,
    ( nil != sk2
    | nil != sk1 ),
    c_0_84 ).

cnf(c_0_93,negated_conjecture,
    ( sk5 = nil
    | sk5 != sk1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_85]),c_0_86]),c_0_29])]) ).

cnf(c_0_94,negated_conjecture,
    sk5 = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_88]),c_0_46]),c_0_88]),c_0_46])]) ).

cnf(c_0_95,negated_conjecture,
    sk1 != nil,
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_92]) ).

cnf(c_0_96,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94]),c_0_94])]),c_0_95]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWC075-1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n004.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
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun May 19 02:59:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.22/0.49  Running first-order theorem proving
% 0.22/0.49  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
% 1.03/0.61  # Version: 3.1.0
% 1.03/0.61  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.03/0.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.03/0.61  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.03/0.61  # Starting new_bool_3 with 300s (1) cores
% 1.03/0.61  # Starting new_bool_1 with 300s (1) cores
% 1.03/0.61  # Starting sh5l with 300s (1) cores
% 1.03/0.61  # new_bool_3 with pid 28789 completed with status 0
% 1.03/0.61  # Result found by new_bool_3
% 1.03/0.61  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.03/0.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.03/0.61  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.03/0.61  # Starting new_bool_3 with 300s (1) cores
% 1.03/0.61  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.03/0.61  # Search class: FGHSF-FFMM22-SFFFFFNN
% 1.03/0.61  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.03/0.61  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1.03/0.61  # SAT001_MinMin_p005000_rr_RG with pid 28795 completed with status 0
% 1.03/0.61  # Result found by SAT001_MinMin_p005000_rr_RG
% 1.03/0.61  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.03/0.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.03/0.61  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.03/0.61  # Starting new_bool_3 with 300s (1) cores
% 1.03/0.61  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.03/0.61  # Search class: FGHSF-FFMM22-SFFFFFNN
% 1.03/0.61  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.03/0.61  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1.03/0.61  # Preprocessing time       : 0.004 s
% 1.03/0.61  # Presaturation interreduction done
% 1.03/0.61  
% 1.03/0.61  # Proof found!
% 1.03/0.61  # SZS status Unsatisfiable
% 1.03/0.61  # SZS output start CNFRefutation
% See solution above
% 1.03/0.61  # Parsed axioms                        : 197
% 1.03/0.61  # Removed by relevancy pruning/SinE    : 156
% 1.03/0.61  # Initial clauses                      : 41
% 1.03/0.61  # Removed in clause preprocessing      : 0
% 1.03/0.61  # Initial clauses in saturation        : 41
% 1.03/0.61  # Processed clauses                    : 1024
% 1.03/0.61  # ...of these trivial                  : 55
% 1.03/0.61  # ...subsumed                          : 579
% 1.03/0.61  # ...remaining for further processing  : 390
% 1.03/0.61  # Other redundant clauses eliminated   : 16
% 1.03/0.61  # Clauses deleted for lack of memory   : 0
% 1.03/0.61  # Backward-subsumed                    : 23
% 1.03/0.61  # Backward-rewritten                   : 174
% 1.03/0.61  # Generated clauses                    : 3714
% 1.03/0.61  # ...of the previous two non-redundant : 3541
% 1.03/0.61  # ...aggressively subsumed             : 0
% 1.03/0.61  # Contextual simplify-reflections      : 35
% 1.03/0.61  # Paramodulations                      : 3695
% 1.03/0.61  # Factorizations                       : 0
% 1.03/0.61  # NegExts                              : 0
% 1.03/0.61  # Equation resolutions                 : 20
% 1.03/0.61  # Disequality decompositions           : 0
% 1.03/0.61  # Total rewrite steps                  : 4754
% 1.03/0.61  # ...of those cached                   : 4723
% 1.03/0.61  # Propositional unsat checks           : 0
% 1.03/0.61  #    Propositional check models        : 0
% 1.03/0.61  #    Propositional check unsatisfiable : 0
% 1.03/0.61  #    Propositional clauses             : 0
% 1.03/0.61  #    Propositional clauses after purity: 0
% 1.03/0.61  #    Propositional unsat core size     : 0
% 1.03/0.61  #    Propositional preprocessing time  : 0.000
% 1.03/0.61  #    Propositional encoding time       : 0.000
% 1.03/0.61  #    Propositional solver time         : 0.000
% 1.03/0.61  #    Success case prop preproc time    : 0.000
% 1.03/0.61  #    Success case prop encoding time   : 0.000
% 1.03/0.61  #    Success case prop solver time     : 0.000
% 1.03/0.61  # Current number of processed clauses  : 149
% 1.03/0.61  #    Positive orientable unit clauses  : 19
% 1.03/0.61  #    Positive unorientable unit clauses: 0
% 1.03/0.61  #    Negative unit clauses             : 7
% 1.03/0.61  #    Non-unit-clauses                  : 123
% 1.03/0.61  # Current number of unprocessed clauses: 2522
% 1.03/0.61  # ...number of literals in the above   : 12839
% 1.03/0.61  # Current number of archived formulas  : 0
% 1.03/0.61  # Current number of archived clauses   : 236
% 1.03/0.61  # Clause-clause subsumption calls (NU) : 12466
% 1.03/0.61  # Rec. Clause-clause subsumption calls : 4587
% 1.03/0.61  # Non-unit clause-clause subsumptions  : 440
% 1.03/0.61  # Unit Clause-clause subsumption calls : 542
% 1.03/0.61  # Rewrite failures with RHS unbound    : 0
% 1.03/0.61  # BW rewrite match attempts            : 7
% 1.03/0.61  # BW rewrite match successes           : 7
% 1.03/0.61  # Condensation attempts                : 0
% 1.03/0.61  # Condensation successes               : 0
% 1.03/0.61  # Termbank termtop insertions          : 65448
% 1.03/0.61  # Search garbage collected termcells   : 916
% 1.03/0.61  
% 1.03/0.61  # -------------------------------------------------
% 1.03/0.61  # User time                : 0.087 s
% 1.03/0.61  # System time              : 0.008 s
% 1.03/0.61  # Total time               : 0.095 s
% 1.03/0.61  # Maximum resident set size: 2076 pages
% 1.03/0.61  
% 1.03/0.61  # -------------------------------------------------
% 1.03/0.61  # User time                : 0.092 s
% 1.03/0.61  # System time              : 0.010 s
% 1.03/0.61  # Total time               : 0.102 s
% 1.03/0.61  # Maximum resident set size: 1872 pages
% 1.03/0.61  % E---3.1 exiting
% 1.03/0.61  % E exiting
%------------------------------------------------------------------------------