TSTP Solution File: COM149+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : COM149+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n022.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 : Wed Aug 30 18:36:42 EDT 2023

% Result   : Theorem 0.22s 0.67s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  108
% Syntax   : Number of formulae    :  131 (  14 unt; 101 typ;   0 def)
%            Number of atoms       :  141 (  91 equ)
%            Maximal formula atoms :   72 (   4 avg)
%            Number of connectives :  158 (  47   ~;  75   |;  29   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  274 (  96   >; 178   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-4 aty)
%            Number of functors    :   92 (  92 usr;   5 con; 0-5 aty)
%            Number of variables   :   76 (  12 sgn;  39   !;  10   ?;   0   :)

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

tff(decl_23,type,
    vabs: ( $i * $i * $i ) > $i ).

tff(decl_24,type,
    vapp: ( $i * $i ) > $i ).

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

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

tff(decl_27,type,
    vempty: $i ).

tff(decl_28,type,
    vbind: ( $i * $i * $i ) > $i ).

tff(decl_29,type,
    vnoType: $i ).

tff(decl_30,type,
    vsomeType: $i > $i ).

tff(decl_31,type,
    visSomeType: $i > $o ).

tff(decl_32,type,
    vgetSomeType: $i > $i ).

tff(decl_33,type,
    vlookup: ( $i * $i ) > $i ).

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

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

tff(decl_36,type,
    vsubst: ( $i * $i * $i ) > $i ).

tff(decl_37,type,
    vnoExp: $i ).

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

tff(decl_39,type,
    visSomeExp: $i > $o ).

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

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

tff(decl_42,type,
    varrow: ( $i * $i ) > $i ).

tff(decl_43,type,
    epred1_4: ( $i * $i * $i * $i ) > $o ).

tff(decl_44,type,
    epred2_4: ( $i * $i * $i * $i ) > $o ).

tff(decl_45,type,
    epred3_2: ( $i * $i ) > $o ).

tff(decl_46,type,
    epred4_2: ( $i * $i ) > $o ).

tff(decl_47,type,
    esk1_3: ( $i * $i * $i ) > $i ).

tff(decl_48,type,
    esk2_3: ( $i * $i * $i ) > $i ).

tff(decl_49,type,
    esk3_3: ( $i * $i * $i ) > $i ).

tff(decl_50,type,
    esk4_3: ( $i * $i * $i ) > $i ).

tff(decl_51,type,
    esk5_3: ( $i * $i * $i ) > $i ).

tff(decl_52,type,
    esk6_3: ( $i * $i * $i ) > $i ).

tff(decl_53,type,
    esk7_3: ( $i * $i * $i ) > $i ).

tff(decl_54,type,
    esk8_3: ( $i * $i * $i ) > $i ).

tff(decl_55,type,
    esk9_3: ( $i * $i * $i ) > $i ).

tff(decl_56,type,
    esk10_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_57,type,
    esk11_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_58,type,
    esk12_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_59,type,
    esk13_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_60,type,
    esk14_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_61,type,
    esk15_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_62,type,
    esk16_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_63,type,
    esk17_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_64,type,
    esk18_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_65,type,
    esk19_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_66,type,
    esk20_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_67,type,
    esk21_2: ( $i * $i ) > $i ).

tff(decl_68,type,
    esk22_2: ( $i * $i ) > $i ).

tff(decl_69,type,
    esk23_2: ( $i * $i ) > $i ).

tff(decl_70,type,
    esk24_3: ( $i * $i * $i ) > $i ).

tff(decl_71,type,
    esk25_3: ( $i * $i * $i ) > $i ).

tff(decl_72,type,
    esk26_3: ( $i * $i * $i ) > $i ).

tff(decl_73,type,
    esk27_3: ( $i * $i * $i ) > $i ).

tff(decl_74,type,
    esk28_3: ( $i * $i * $i ) > $i ).

tff(decl_75,type,
    esk29_3: ( $i * $i * $i ) > $i ).

tff(decl_76,type,
    esk30_3: ( $i * $i * $i ) > $i ).

tff(decl_77,type,
    esk31_3: ( $i * $i * $i ) > $i ).

tff(decl_78,type,
    esk32_0: $i ).

tff(decl_79,type,
    esk33_0: $i ).

tff(decl_80,type,
    esk34_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_81,type,
    esk35_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_82,type,
    esk36_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_83,type,
    esk37_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_84,type,
    esk38_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_85,type,
    esk39_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_86,type,
    esk40_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_87,type,
    esk41_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_88,type,
    esk42_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_89,type,
    esk43_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_90,type,
    esk44_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_91,type,
    esk45_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_92,type,
    esk46_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_93,type,
    esk47_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_94,type,
    esk48_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_95,type,
    esk49_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_96,type,
    esk50_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_97,type,
    esk51_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_98,type,
    esk52_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_99,type,
    esk53_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_100,type,
    esk54_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_101,type,
    esk55_2: ( $i * $i ) > $i ).

tff(decl_102,type,
    esk56_2: ( $i * $i ) > $i ).

tff(decl_103,type,
    esk57_2: ( $i * $i ) > $i ).

tff(decl_104,type,
    esk58_2: ( $i * $i ) > $i ).

tff(decl_105,type,
    esk59_2: ( $i * $i ) > $i ).

tff(decl_106,type,
    esk60_2: ( $i * $i ) > $i ).

tff(decl_107,type,
    esk61_2: ( $i * $i ) > $i ).

tff(decl_108,type,
    esk62_2: ( $i * $i ) > $i ).

tff(decl_109,type,
    esk63_2: ( $i * $i ) > $i ).

tff(decl_110,type,
    esk64_2: ( $i * $i ) > $i ).

tff(decl_111,type,
    esk65_2: ( $i * $i ) > $i ).

tff(decl_112,type,
    esk66_2: ( $i * $i ) > $i ).

tff(decl_113,type,
    esk67_2: ( $i * $i ) > $i ).

tff(decl_114,type,
    esk68_2: ( $i * $i ) > $i ).

tff(decl_115,type,
    esk69_2: ( $i * $i ) > $i ).

tff(decl_116,type,
    esk70_2: ( $i * $i ) > $i ).

tff(decl_117,type,
    esk71_2: ( $i * $i ) > $i ).

tff(decl_118,type,
    esk72_2: ( $i * $i ) > $i ).

tff(decl_119,type,
    esk73_2: ( $i * $i ) > $i ).

tff(decl_120,type,
    esk74_2: ( $i * $i ) > $i ).

tff(decl_121,type,
    esk75_2: ( $i * $i ) > $i ).

tff(decl_122,type,
    esk76_2: ( $i * $i ) > $i ).

fof('T-Progress-T-var',conjecture,
    ! [X15,X9] :
      ( ( vtcheck(vempty,vvar(X9),X15)
        & ~ visValue(vvar(X9)) )
     => ? [X35] : vreduce(vvar(X9)) = vsomeExp(X35) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Progress-T-var') ).

fof('T-inv',axiom,
    ! [X11,X15,X20] :
      ( vtcheck(X20,X11,X15)
     => ( ? [X9] :
            ( X11 = vvar(X9)
            & vlookup(X9,X20) = vsomeType(X15) )
        | ? [X9,X13,X33,X34] :
            ( X11 = vabs(X9,X33,X13)
            & X15 = varrow(X33,X34)
            & vtcheck(vbind(X9,X33,X20),X13,X34) )
        | ? [X12,X13,X10] :
            ( X11 = vapp(X12,X13)
            & vtcheck(X20,X12,varrow(X10,X15))
            & vtcheck(X20,X13,X10) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-inv') ).

fof('DIFF-var-abs',axiom,
    ! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-var-abs') ).

fof('DIFF-var-app',axiom,
    ! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-var-app') ).

fof(lookup0,axiom,
    ! [X9,X1,X16,X19] :
      ( ( X1 = X9
        & X16 = vempty )
     => ( X19 = vlookup(X1,X16)
       => X19 = vnoType ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',lookup0) ).

fof('EQ-var',axiom,
    ! [X1,X2] :
      ( ( vvar(X1) = vvar(X2)
       => X1 = X2 )
      & ( X1 = X2
       => vvar(X1) = vvar(X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-var') ).

fof('DIFF-noType-someType',axiom,
    ! [X3] : vnoType != vsomeType(X3),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-noType-someType') ).

fof(c_0_7,negated_conjecture,
    ~ ! [X15,X9] :
        ( ( vtcheck(vempty,vvar(X9),X15)
          & ~ visValue(vvar(X9)) )
       => ? [X35] : vreduce(vvar(X9)) = vsomeExp(X35) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['T-Progress-T-var'])]) ).

fof(c_0_8,plain,
    ! [X286,X287,X288] :
      ( ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
        | X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
        | X286 = vvar(esk24_3(X286,X287,X288))
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
        | X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
        | X286 = vvar(esk24_3(X286,X287,X288))
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
        | X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
        | X286 = vvar(esk24_3(X286,X287,X288))
        | ~ vtcheck(X288,X286,X287) )
      & ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
        | X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | X286 = vvar(esk24_3(X286,X287,X288))
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
        | X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | X286 = vvar(esk24_3(X286,X287,X288))
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
        | X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | X286 = vvar(esk24_3(X286,X287,X288))
        | ~ vtcheck(X288,X286,X287) )
      & ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
        | vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | X286 = vvar(esk24_3(X286,X287,X288))
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
        | vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | X286 = vvar(esk24_3(X286,X287,X288))
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
        | vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | X286 = vvar(esk24_3(X286,X287,X288))
        | ~ vtcheck(X288,X286,X287) )
      & ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
        | X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
        | vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
        | X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
        | vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
        | X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
        | vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
        | ~ vtcheck(X288,X286,X287) )
      & ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
        | X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
        | X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
        | X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
        | ~ vtcheck(X288,X286,X287) )
      & ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
        | vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
        | vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
        | vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
        | ~ vtcheck(X288,X286,X287) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])]) ).

fof(c_0_9,negated_conjecture,
    ! [X309] :
      ( vtcheck(vempty,vvar(esk33_0),esk32_0)
      & ~ visValue(vvar(esk33_0))
      & vreduce(vvar(esk33_0)) != vsomeExp(X309) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).

fof(c_0_10,plain,
    ! [X48,X49,X50,X51] : vvar(X48) != vabs(X49,X50,X51),
    inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).

fof(c_0_11,plain,
    ! [X52,X53,X54] : vvar(X52) != vapp(X53,X54),
    inference(variable_rename,[status(thm)],['DIFF-var-app']) ).

fof(c_0_12,plain,
    ! [X102,X103,X104,X105] :
      ( X103 != X102
      | X104 != vempty
      | X105 != vlookup(X103,X104)
      | X105 = vnoType ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup0])]) ).

fof(c_0_13,plain,
    ! [X36,X37] :
      ( ( vvar(X36) != vvar(X37)
        | X36 = X37 )
      & ( X36 != X37
        | vvar(X36) = vvar(X37) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-var'])]) ).

cnf(c_0_14,plain,
    ( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
    | X1 = vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3))
    | X1 = vvar(esk24_3(X1,X2,X3))
    | ~ vtcheck(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_15,negated_conjecture,
    vtcheck(vempty,vvar(esk33_0),esk32_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_16,plain,
    vvar(X1) != vabs(X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,plain,
    vvar(X1) != vapp(X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,plain,
    ( X4 = vnoType
    | X1 != X2
    | X3 != vempty
    | X4 != vlookup(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,plain,
    ( X1 = X2
    | vvar(X1) != vvar(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,negated_conjecture,
    vvar(esk24_3(vvar(esk33_0),esk32_0,vempty)) = vvar(esk33_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]) ).

cnf(c_0_21,plain,
    ( X1 = vnoType
    | X1 != vlookup(X2,X3)
    | X3 != vempty ),
    inference(er,[status(thm)],[c_0_18]) ).

cnf(c_0_22,negated_conjecture,
    ( esk24_3(vvar(esk33_0),esk32_0,vempty) = X1
    | vvar(esk33_0) != vvar(X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,plain,
    ( X1 = vnoType
    | X1 != vlookup(X2,vempty) ),
    inference(er,[status(thm)],[c_0_21]) ).

fof(c_0_24,plain,
    ! [X95] : vnoType != vsomeType(X95),
    inference(variable_rename,[status(thm)],['DIFF-noType-someType']) ).

cnf(c_0_25,plain,
    ( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
    | X1 = vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3))
    | vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
    | ~ vtcheck(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_26,negated_conjecture,
    esk24_3(vvar(esk33_0),esk32_0,vempty) = esk33_0,
    inference(er,[status(thm)],[c_0_22]) ).

cnf(c_0_27,plain,
    vlookup(X1,vempty) = vnoType,
    inference(er,[status(thm)],[c_0_23]) ).

cnf(c_0_28,plain,
    vnoType != vsomeType(X1),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_29,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_15]),c_0_16]),c_0_17]),c_0_26]),c_0_27]),c_0_28]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : COM149+1 : TPTP v8.1.2. Released v6.4.0.
% 0.07/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 29 13:35:08 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.22/0.57  start to proof: theBenchmark
% 0.22/0.67  % Version  : CSE_E---1.5
% 0.22/0.67  % Problem  : theBenchmark.p
% 0.22/0.67  % Proof found
% 0.22/0.67  % SZS status Theorem for theBenchmark.p
% 0.22/0.67  % SZS output start Proof
% See solution above
% 0.22/0.68  % Total time : 0.087000 s
% 0.22/0.68  % SZS output end Proof
% 0.22/0.68  % Total time : 0.092000 s
%------------------------------------------------------------------------------