TSTP Solution File: SWC171-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWC171-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n025.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 : Thu Aug 31 20:20:24 EDT 2023

% Result   : Unsatisfiable 0.68s 0.79s
% Output   : CNFRefutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   99
% Syntax   : Number of formulae    :  153 (  36 unt;  77 typ;   0 def)
%            Number of atoms       :  160 (  40 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  167 (  83   ~;  84   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   82 (  65   >;  17   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  19 usr;   1 prp; 0-2 aty)
%            Number of functors    :   58 (  58 usr;  12 con; 0-2 aty)
%            Number of variables   :   70 (  13 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    nil: $i ).

tff(decl_23,type,
    equalelemsP: $i > $o ).

tff(decl_24,type,
    duplicatefreeP: $i > $o ).

tff(decl_25,type,
    strictorderedP: $i > $o ).

tff(decl_26,type,
    totalorderedP: $i > $o ).

tff(decl_27,type,
    strictorderP: $i > $o ).

tff(decl_28,type,
    totalorderP: $i > $o ).

tff(decl_29,type,
    cyclefreeP: $i > $o ).

tff(decl_30,type,
    ssList: $i > $o ).

tff(decl_31,type,
    skac3: $i ).

tff(decl_32,type,
    ssItem: $i > $o ).

tff(decl_33,type,
    skac2: $i ).

tff(decl_34,type,
    singletonP: $i > $o ).

tff(decl_35,type,
    skaf83: $i > $i ).

tff(decl_36,type,
    skaf82: $i > $i ).

tff(decl_37,type,
    skaf81: $i > $i ).

tff(decl_38,type,
    skaf80: $i > $i ).

tff(decl_39,type,
    skaf79: $i > $i ).

tff(decl_40,type,
    skaf78: $i > $i ).

tff(decl_41,type,
    skaf77: $i > $i ).

tff(decl_42,type,
    skaf76: $i > $i ).

tff(decl_43,type,
    skaf75: $i > $i ).

tff(decl_44,type,
    skaf74: $i > $i ).

tff(decl_45,type,
    skaf73: $i > $i ).

tff(decl_46,type,
    skaf72: $i > $i ).

tff(decl_47,type,
    skaf71: $i > $i ).

tff(decl_48,type,
    skaf70: $i > $i ).

tff(decl_49,type,
    skaf69: $i > $i ).

tff(decl_50,type,
    skaf68: $i > $i ).

tff(decl_51,type,
    skaf67: $i > $i ).

tff(decl_52,type,
    skaf66: $i > $i ).

tff(decl_53,type,
    skaf65: $i > $i ).

tff(decl_54,type,
    skaf64: $i > $i ).

tff(decl_55,type,
    skaf63: $i > $i ).

tff(decl_56,type,
    skaf62: $i > $i ).

tff(decl_57,type,
    skaf61: $i > $i ).

tff(decl_58,type,
    skaf60: $i > $i ).

tff(decl_59,type,
    skaf59: $i > $i ).

tff(decl_60,type,
    skaf58: $i > $i ).

tff(decl_61,type,
    skaf57: $i > $i ).

tff(decl_62,type,
    skaf56: $i > $i ).

tff(decl_63,type,
    skaf55: $i > $i ).

tff(decl_64,type,
    skaf54: $i > $i ).

tff(decl_65,type,
    skaf53: $i > $i ).

tff(decl_66,type,
    skaf52: $i > $i ).

tff(decl_67,type,
    skaf51: $i > $i ).

tff(decl_68,type,
    skaf50: $i > $i ).

tff(decl_69,type,
    skaf49: $i > $i ).

tff(decl_70,type,
    skaf44: $i > $i ).

tff(decl_71,type,
    skaf48: ( $i * $i ) > $i ).

tff(decl_72,type,
    skaf47: ( $i * $i ) > $i ).

tff(decl_73,type,
    skaf46: ( $i * $i ) > $i ).

tff(decl_74,type,
    skaf45: ( $i * $i ) > $i ).

tff(decl_75,type,
    skaf43: ( $i * $i ) > $i ).

tff(decl_76,type,
    skaf42: ( $i * $i ) > $i ).

tff(decl_77,type,
    geq: ( $i * $i ) > $o ).

tff(decl_78,type,
    segmentP: ( $i * $i ) > $o ).

tff(decl_79,type,
    rearsegP: ( $i * $i ) > $o ).

tff(decl_80,type,
    frontsegP: ( $i * $i ) > $o ).

tff(decl_81,type,
    leq: ( $i * $i ) > $o ).

tff(decl_82,type,
    lt: ( $i * $i ) > $o ).

tff(decl_83,type,
    cons: ( $i * $i ) > $i ).

tff(decl_84,type,
    memberP: ( $i * $i ) > $o ).

tff(decl_85,type,
    app: ( $i * $i ) > $i ).

tff(decl_86,type,
    tl: $i > $i ).

tff(decl_87,type,
    hd: $i > $i ).

tff(decl_88,type,
    neq: ( $i * $i ) > $o ).

tff(decl_89,type,
    gt: ( $i * $i ) > $o ).

tff(decl_90,type,
    sk1: $i ).

tff(decl_91,type,
    sk2: $i ).

tff(decl_92,type,
    sk3: $i ).

tff(decl_93,type,
    sk4: $i ).

tff(decl_94,type,
    sk5: $i ).

tff(decl_95,type,
    sk6: $i ).

tff(decl_96,type,
    sk7: $i ).

tff(decl_97,type,
    sk8: $i ).

tff(decl_98,type,
    sk9: $i ).

cnf(co1_11,negated_conjecture,
    app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

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

cnf(co1_12,negated_conjecture,
    ~ neq(sk5,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

cnf(clause102,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssItem(X1)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause102) ).

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

cnf(co1_8,negated_conjecture,
    ssItem(sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

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(co1_9,negated_conjecture,
    ssList(sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

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

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

cnf(clause120,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).

cnf(co1_10,negated_conjecture,
    ssList(sk8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

cnf(clause157,axiom,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause157) ).

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

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

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

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

cnf(clause65,axiom,
    ( duplicatefreeP(cons(X1,nil))
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause65) ).

cnf(co1_18,negated_conjecture,
    ( cons(sk9,nil) = sk3
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

cnf(co1_14,negated_conjecture,
    ( ssItem(sk9)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

cnf(clause2,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause2) ).

cnf(c_0_22,negated_conjecture,
    app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
    co1_11 ).

cnf(c_0_23,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_24,negated_conjecture,
    ~ neq(sk5,sk6),
    co1_12 ).

cnf(c_0_25,axiom,
    ( neq(X2,X1)
    | X2 = X1
    | ~ ssItem(X1)
    | ~ ssItem(X2) ),
    clause102 ).

cnf(c_0_26,negated_conjecture,
    ssItem(sk5),
    co1_7 ).

cnf(c_0_27,negated_conjecture,
    ssItem(sk6),
    co1_8 ).

cnf(c_0_28,negated_conjecture,
    app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk3,
    inference(rw,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,axiom,
    ( app(app(X3,X2),X1) = app(X3,app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause149 ).

cnf(c_0_30,negated_conjecture,
    sk6 = sk5,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).

cnf(c_0_31,negated_conjecture,
    ssList(sk7),
    co1_9 ).

cnf(c_0_32,negated_conjecture,
    ( app(app(sk7,app(cons(sk5,nil),cons(sk5,nil))),sk8) = sk3
    | ~ ssList(cons(sk5,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31]),c_0_30])]) ).

cnf(c_0_33,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause86 ).

cnf(c_0_34,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_35,negated_conjecture,
    app(app(sk7,app(cons(sk5,nil),cons(sk5,nil))),sk8) = sk3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_26]),c_0_34])]) ).

cnf(c_0_36,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause120 ).

cnf(c_0_37,negated_conjecture,
    ( app(app(sk7,cons(sk5,cons(sk5,nil))),sk8) = sk3
    | ~ ssList(cons(sk5,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_26])]) ).

cnf(c_0_38,negated_conjecture,
    app(app(sk7,cons(sk5,cons(sk5,nil))),sk8) = sk3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_33]),c_0_26]),c_0_34])]) ).

cnf(c_0_39,negated_conjecture,
    ssList(sk8),
    co1_10 ).

cnf(c_0_40,negated_conjecture,
    ( app(sk7,app(cons(sk5,cons(sk5,nil)),sk8)) = sk3
    | ~ ssList(cons(sk5,cons(sk5,nil))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_38]),c_0_31]),c_0_39])]) ).

cnf(c_0_41,negated_conjecture,
    ( app(sk7,app(cons(sk5,cons(sk5,nil)),sk8)) = sk3
    | ~ ssList(cons(sk5,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_33]),c_0_26])]) ).

cnf(c_0_42,negated_conjecture,
    app(sk7,app(cons(sk5,cons(sk5,nil)),sk8)) = sk3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_33]),c_0_26]),c_0_34])]) ).

cnf(c_0_43,axiom,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause157 ).

cnf(c_0_44,negated_conjecture,
    ( app(sk7,cons(sk5,app(cons(sk5,nil),sk8))) = sk3
    | ~ ssList(cons(sk5,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_26]),c_0_39])]) ).

cnf(c_0_45,axiom,
    ( app(app(X1,cons(X2,X3)),cons(X2,X4)) != X5
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ duplicatefreeP(X5)
    | ~ ssList(X5) ),
    clause179 ).

cnf(c_0_46,negated_conjecture,
    app(sk7,cons(sk5,app(cons(sk5,nil),sk8))) = sk3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_33]),c_0_26]),c_0_34])]) ).

cnf(c_0_47,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_45]) ).

cnf(c_0_48,negated_conjecture,
    app(sk7,cons(sk5,cons(sk5,sk8))) = sk3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_36]),c_0_26]),c_0_39])]) ).

cnf(c_0_49,negated_conjecture,
    ( ~ ssList(app(sk3,cons(sk5,X1)))
    | ~ ssList(cons(sk5,sk8))
    | ~ ssList(X1)
    | ~ duplicatefreeP(app(sk3,cons(sk5,X1))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_26]),c_0_31])]) ).

cnf(c_0_50,axiom,
    ( duplicatefreeP(X1)
    | ssItem(X2)
    | ~ ssList(X1) ),
    clause72 ).

cnf(c_0_51,negated_conjecture,
    ( ssItem(X1)
    | ~ ssList(app(sk3,cons(sk5,X2)))
    | ~ ssList(cons(sk5,sk8))
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_52,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_53,negated_conjecture,
    ( ssItem(X1)
    | ~ ssList(app(sk3,cons(sk5,X2)))
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_33]),c_0_26]),c_0_39])]) ).

cnf(c_0_54,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause85 ).

cnf(c_0_55,negated_conjecture,
    ssList(sk3),
    inference(rw,[status(thm)],[c_0_52,c_0_23]) ).

cnf(c_0_56,negated_conjecture,
    ( ssItem(X1)
    | ~ ssList(cons(sk5,X2))
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).

cnf(c_0_57,negated_conjecture,
    ( ssItem(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_33]),c_0_26])]) ).

cnf(c_0_58,axiom,
    ssList(skaf42(X1,X2)),
    clause53 ).

cnf(c_0_59,negated_conjecture,
    ssItem(X1),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_60,negated_conjecture,
    ( app(app(sk7,cons(sk5,nil)),app(cons(sk5,nil),sk8)) = sk3
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(cons(sk5,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_30]),c_0_39])]) ).

cnf(c_0_61,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_59])]) ).

cnf(c_0_62,negated_conjecture,
    ( app(app(sk7,cons(sk5,nil)),app(cons(sk5,nil),sk8)) = sk3
    | ~ ssList(app(sk7,cons(sk5,nil))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_34])]) ).

cnf(c_0_63,negated_conjecture,
    ( app(app(sk7,cons(sk5,nil)),app(cons(sk5,nil),sk8)) = sk3
    | ~ ssList(cons(sk5,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_54]),c_0_31])]) ).

cnf(c_0_64,negated_conjecture,
    app(app(sk7,cons(sk5,nil)),app(cons(sk5,nil),sk8)) = sk3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_61]),c_0_34])]) ).

cnf(c_0_65,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_59])]) ).

cnf(c_0_66,axiom,
    ( duplicatefreeP(cons(X1,nil))
    | ~ ssItem(X1) ),
    clause65 ).

cnf(c_0_67,negated_conjecture,
    ( cons(sk9,nil) = sk3
    | nil = sk3 ),
    co1_18 ).

cnf(c_0_68,negated_conjecture,
    ( ssItem(sk9)
    | nil = sk3 ),
    co1_14 ).

cnf(c_0_69,plain,
    ( ~ ssList(app(app(X1,cons(X2,X3)),cons(X2,X4)))
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ duplicatefreeP(app(app(X1,cons(X2,X3)),cons(X2,X4))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_59])]) ).

cnf(c_0_70,negated_conjecture,
    app(app(sk7,cons(sk5,nil)),cons(sk5,sk8)) = sk3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_39])]) ).

cnf(c_0_71,negated_conjecture,
    ( sk3 = nil
    | duplicatefreeP(sk3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).

cnf(c_0_72,negated_conjecture,
    ~ duplicatefreeP(sk3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_55]),c_0_39]),c_0_34]),c_0_31])]) ).

cnf(c_0_73,negated_conjecture,
    sk3 = nil,
    inference(sr,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_74,axiom,
    duplicatefreeP(nil),
    clause2 ).

cnf(c_0_75,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73]),c_0_74])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWC171-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.36  % Computer : n025.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Aug 28 15:14:54 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.22/0.58  start to proof: theBenchmark
% 0.68/0.79  % Version  : CSE_E---1.5
% 0.68/0.79  % Problem  : theBenchmark.p
% 0.68/0.79  % Proof found
% 0.68/0.79  % SZS status Theorem for theBenchmark.p
% 0.68/0.79  % SZS output start Proof
% See solution above
% 0.68/0.80  % Total time : 0.203000 s
% 0.68/0.80  % SZS output end Proof
% 0.68/0.80  % Total time : 0.208000 s
%------------------------------------------------------------------------------