TSTP Solution File: SWC231-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWC231-1 : 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 : n008.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 20:20:55 EDT 2023

% Result   : Unsatisfiable 0.21s 0.66s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :  101
% Syntax   : Number of formulae    :  156 (  26 unt;  76 typ;   0 def)
%            Number of atoms       :  199 (  53 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  239 ( 120   ~; 119   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   85 (  66   >;  19   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  19 usr;   1 prp; 0-2 aty)
%            Number of functors    :   57 (  57 usr;  10 con; 0-3 aty)
%            Number of variables   :  103 (  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 * $i * $i ) > $i ).

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

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

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

cnf(co1_16,negated_conjecture,
    ( nil = sk3
    | app(app(sk7,cons(sk6,nil)),sk8) = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

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

cnf(co1_7,negated_conjecture,
    nil != sk1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(co1_14,negated_conjecture,
    ( nil = sk3
    | ssList(sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

cnf(co1_15,negated_conjecture,
    ( nil = sk3
    | ssList(sk8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

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_13,negated_conjecture,
    ( nil = sk3
    | ssItem(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

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

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

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

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

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(clause150,axiom,
    ( X2 = X3
    | app(X1,X2) != app(X1,X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause150) ).

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

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

cnf(co1_9,negated_conjecture,
    ( memberP(X2,sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

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

cnf(clause74,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).

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(clause60,axiom,
    ( frontsegP(X1,nil)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause60) ).

cnf(clause109,axiom,
    ( cons(skaf83(X1),skaf82(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause109) ).

cnf(clause13,axiom,
    ssList(skaf82(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause13) ).

cnf(c_0_25,negated_conjecture,
    ( nil = sk3
    | app(app(sk7,cons(sk6,nil)),sk8) = sk3 ),
    co1_16 ).

cnf(c_0_26,negated_conjecture,
    sk1 = sk3,
    co1_6 ).

cnf(c_0_27,negated_conjecture,
    nil != sk1,
    co1_7 ).

cnf(c_0_28,negated_conjecture,
    ( nil = sk3
    | ssList(sk7) ),
    co1_14 ).

cnf(c_0_29,negated_conjecture,
    ( nil = sk3
    | ssList(sk8) ),
    co1_15 ).

cnf(c_0_30,negated_conjecture,
    app(app(sk7,cons(sk6,nil)),sk8) = sk1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26]),c_0_26]),c_0_27]) ).

cnf(c_0_31,axiom,
    ( app(app(X3,X2),X1) = app(X3,app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause149 ).

cnf(c_0_32,negated_conjecture,
    ssList(sk7),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_26]),c_0_27]) ).

cnf(c_0_33,negated_conjecture,
    ssList(sk8),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_26]),c_0_27]) ).

cnf(c_0_34,negated_conjecture,
    ( nil = sk3
    | ssItem(sk6) ),
    co1_13 ).

cnf(c_0_35,negated_conjecture,
    ( app(sk7,app(cons(sk6,nil),sk8)) = sk1
    | ~ ssList(cons(sk6,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33])]) ).

cnf(c_0_36,axiom,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause86 ).

cnf(c_0_37,negated_conjecture,
    ssItem(sk6),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_26]),c_0_27]) ).

cnf(c_0_38,axiom,
    ssList(nil),
    clause8 ).

cnf(c_0_39,axiom,
    ( frontsegP(X3,X1)
    | app(X1,X2) != X3
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    clause144 ).

cnf(c_0_40,axiom,
    ( ssList(app(X2,X1))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    clause85 ).

cnf(c_0_41,negated_conjecture,
    app(sk7,app(cons(sk6,nil),sk8)) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38])]) ).

cnf(c_0_42,axiom,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    clause120 ).

cnf(c_0_43,plain,
    ( frontsegP(app(X1,X2),X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_39]),c_0_40]) ).

cnf(c_0_44,negated_conjecture,
    app(sk7,cons(sk6,sk8)) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_37]),c_0_33])]) ).

cnf(c_0_45,negated_conjecture,
    ( frontsegP(sk1,sk7)
    | ~ ssList(cons(sk6,sk8)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_32])]) ).

cnf(c_0_46,axiom,
    ( app(X2,skaf45(X1,X2)) = X1
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    clause132 ).

cnf(c_0_47,negated_conjecture,
    frontsegP(sk1,sk7),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_36]),c_0_37]),c_0_33])]) ).

cnf(c_0_48,negated_conjecture,
    ssList(sk1),
    co1_1 ).

cnf(c_0_49,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_50,axiom,
    ( X2 = X3
    | app(X1,X2) != app(X1,X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    clause150 ).

cnf(c_0_51,negated_conjecture,
    app(sk7,skaf45(sk1,sk7)) = sk1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_32]),c_0_48])]) ).

cnf(c_0_52,axiom,
    ssList(skaf45(X1,X2)),
    clause51 ).

cnf(c_0_53,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_49]) ).

cnf(c_0_54,negated_conjecture,
    ( skaf45(sk1,sk7) = X1
    | app(sk7,X1) != sk1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_32])]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ ssList(app(sk1,cons(sk6,X1)))
    | ~ ssList(X1)
    | ~ duplicatefreeP(app(sk1,cons(sk6,X1))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_44]),c_0_37]),c_0_33]),c_0_32])]) ).

cnf(c_0_56,axiom,
    ( duplicatefreeP(X1)
    | ssItem(X2)
    | ~ ssList(X1) ),
    clause72 ).

cnf(c_0_57,negated_conjecture,
    ( skaf45(sk1,sk7) = cons(sk6,sk8)
    | ~ ssList(cons(sk6,sk8)) ),
    inference(spm,[status(thm)],[c_0_54,c_0_44]) ).

cnf(c_0_58,negated_conjecture,
    ( ssItem(X1)
    | ~ ssList(app(sk1,cons(sk6,X2)))
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_59,negated_conjecture,
    skaf45(sk1,sk7) = cons(sk6,sk8),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_36]),c_0_37]),c_0_33])]) ).

cnf(c_0_60,negated_conjecture,
    ( ssItem(X1)
    | ~ ssList(cons(sk6,X2))
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_40]),c_0_48])]) ).

cnf(c_0_61,negated_conjecture,
    ssList(cons(sk6,sk8)),
    inference(spm,[status(thm)],[c_0_52,c_0_59]) ).

cnf(c_0_62,negated_conjecture,
    ( memberP(X2,sk5(X3,X2,X1))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != sk1 ),
    co1_9 ).

cnf(c_0_63,negated_conjecture,
    ssItem(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_33])]) ).

cnf(c_0_64,axiom,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    clause71 ).

cnf(c_0_65,negated_conjecture,
    ( memberP(X1,sk5(X2,X1,X3))
    | app(app(X1,cons(X3,nil)),X2) != sk1
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]) ).

cnf(c_0_66,axiom,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    clause74 ).

cnf(c_0_67,plain,
    ~ memberP(nil,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_63])]) ).

cnf(c_0_68,axiom,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    clause157 ).

cnf(c_0_69,negated_conjecture,
    ( app(cons(X1,nil),X2) != sk1
    | ~ ssList(cons(X1,nil))
    | ~ ssList(X2) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_38])]),c_0_67]) ).

cnf(c_0_70,plain,
    ( app(cons(X1,X2),X3) = cons(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_63])]) ).

cnf(c_0_71,axiom,
    ( frontsegP(X1,nil)
    | ~ ssList(X1) ),
    clause60 ).

cnf(c_0_72,negated_conjecture,
    ( cons(X1,app(nil,X2)) != sk1
    | ~ ssList(cons(X1,nil))
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_38])]) ).

cnf(c_0_73,plain,
    ( app(nil,skaf45(X1,nil)) = X1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_71]),c_0_38])]) ).

cnf(c_0_74,negated_conjecture,
    ( cons(X1,X2) != sk1
    | ~ ssList(cons(X1,nil))
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_52])]) ).

cnf(c_0_75,axiom,
    ( cons(skaf83(X1),skaf82(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    clause109 ).

cnf(c_0_76,axiom,
    ssList(skaf82(X1)),
    clause13 ).

cnf(c_0_77,negated_conjecture,
    ~ ssList(cons(skaf83(sk1),nil)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76])])]),c_0_48])]),c_0_27]) ).

cnf(c_0_78,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_63])]) ).

cnf(c_0_79,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_38])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC231-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34  % Computer : n008.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % 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   : Mon Aug 28 18:43:32 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.53  start to proof: theBenchmark
% 0.21/0.66  % Version  : CSE_E---1.5
% 0.21/0.66  % Problem  : theBenchmark.p
% 0.21/0.66  % Proof found
% 0.21/0.66  % SZS status Theorem for theBenchmark.p
% 0.21/0.66  % SZS output start Proof
% See solution above
% 0.21/0.67  % Total time : 0.121000 s
% 0.21/0.67  % SZS output end Proof
% 0.21/0.67  % Total time : 0.127000 s
%------------------------------------------------------------------------------