TSTP Solution File: COM132+2 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : COM132+2 : TPTP v8.1.2. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n031.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 18:36:37 EDT 2023

% Result   : Theorem 106.54s 106.70s
% Output   : CNFRefutation 106.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   79
% Syntax   : Number of formulae    :  120 (  12 unt;  70 typ;   0 def)
%            Number of atoms       :  155 (  60 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  175 (  70   ~;  62   |;  25   &)
%                                         (   0 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Maximal term depth    :    8 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  191 (  60   >; 131   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-4 aty)
%            Number of functors    :   63 (  63 usr;  10 con; 0-4 aty)
%            Number of variables   :  181 (  13 sgn; 114   !;   0   ?;   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,
    varrow: ( $i * $i ) > $i ).

tff(decl_38,type,
    valphaEquivalent: ( $i * $i ) > $o ).

tff(decl_39,type,
    veabs: $i ).

tff(decl_40,type,
    epred1_4: ( $i * $i * $i * $i ) > $o ).

tff(decl_41,type,
    epred2_4: ( $i * $i * $i * $i ) > $o ).

tff(decl_42,type,
    esk1_3: ( $i * $i * $i ) > $i ).

tff(decl_43,type,
    esk2_3: ( $i * $i * $i ) > $i ).

tff(decl_44,type,
    esk3_3: ( $i * $i * $i ) > $i ).

tff(decl_45,type,
    esk4_3: ( $i * $i * $i ) > $i ).

tff(decl_46,type,
    esk5_3: ( $i * $i * $i ) > $i ).

tff(decl_47,type,
    esk6_3: ( $i * $i * $i ) > $i ).

tff(decl_48,type,
    esk7_3: ( $i * $i * $i ) > $i ).

tff(decl_49,type,
    esk8_3: ( $i * $i * $i ) > $i ).

tff(decl_50,type,
    esk9_3: ( $i * $i * $i ) > $i ).

tff(decl_51,type,
    esk10_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_52,type,
    esk11_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_53,type,
    esk12_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_54,type,
    esk13_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_55,type,
    esk14_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_56,type,
    esk15_3: ( $i * $i * $i ) > $i ).

tff(decl_57,type,
    esk16_3: ( $i * $i * $i ) > $i ).

tff(decl_58,type,
    esk17_3: ( $i * $i * $i ) > $i ).

tff(decl_59,type,
    esk18_3: ( $i * $i * $i ) > $i ).

tff(decl_60,type,
    esk19_3: ( $i * $i * $i ) > $i ).

tff(decl_61,type,
    esk20_3: ( $i * $i * $i ) > $i ).

tff(decl_62,type,
    esk21_3: ( $i * $i * $i ) > $i ).

tff(decl_63,type,
    esk22_3: ( $i * $i * $i ) > $i ).

tff(decl_64,type,
    esk23_0: $i ).

tff(decl_65,type,
    esk24_0: $i ).

tff(decl_66,type,
    esk25_0: $i ).

tff(decl_67,type,
    esk26_0: $i ).

tff(decl_68,type,
    esk27_0: $i ).

tff(decl_69,type,
    esk28_0: $i ).

tff(decl_70,type,
    esk29_0: $i ).

tff(decl_71,type,
    esk30_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_72,type,
    esk31_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_73,type,
    esk32_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_74,type,
    esk33_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_75,type,
    esk34_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_76,type,
    esk35_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_77,type,
    esk36_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_78,type,
    esk37_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_79,type,
    esk38_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_80,type,
    esk39_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_81,type,
    esk40_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_82,type,
    esk41_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_83,type,
    esk42_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_84,type,
    esk43_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_85,type,
    esk44_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_86,type,
    esk45_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_87,type,
    esk46_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_88,type,
    esk47_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_89,type,
    esk48_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_90,type,
    esk49_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_91,type,
    esk50_4: ( $i * $i * $i * $i ) > $i ).

fof('T-subst-abs-3',conjecture,
    ! [X15,X20,X9,X11,X21,X10,X28] :
      ( ( X9 != X21
        & visFreeVar(X21,X11)
        & vtcheck(X20,X11,X15)
        & vtcheck(vbind(X9,X15,X20),vabs(X21,X10,veabs),X28) )
     => vtcheck(X20,vsubst(X9,X11,vabs(X21,X10,veabs)),X28) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-abs-3') ).

fof('alpha-equiv-typing',axiom,
    ! [X11,X20,X12,X15] :
      ( ( vtcheck(X20,X11,X15)
        & valphaEquivalent(X11,X12) )
     => vtcheck(X20,X12,X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','alpha-equiv-typing') ).

fof('alpha-equiv-subst-abs',axiom,
    ! [X10,X9,X21,X11] :
      ( ~ visFreeVar(X21,X11)
     => valphaEquivalent(vabs(X9,X10,X11),vabs(X21,X10,vsubst(X9,vvar(X21),X11))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','alpha-equiv-subst-abs') ).

fof('T-subst-abs-2-gen',axiom,
    ! [X15,X20,X9,X11,X21,X10,X12,X28] :
      ( ( X9 != X21
        & ~ visFreeVar(X21,X11)
        & vtcheck(X20,X11,X15)
        & vtcheck(vbind(X9,X15,X20),vabs(X21,X10,X12),X28) )
     => vtcheck(X20,vsubst(X9,X11,vabs(X21,X10,X12)),X28) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-abs-2-gen') ).

fof(subst4,axiom,
    ! [X1,X4,X6,X19,X9,X11,X15,X21,X24,X12] :
      ( ( X1 = X9
        & X4 = X11
        & X6 = vabs(X21,X15,X12) )
     => ( ( X9 != X21
          & visFreeVar(X21,X11)
          & X24 = vgensym(vapp(vapp(X11,X12),vvar(X9))) )
       => ( X19 = vsubst(X1,X4,X6)
         => X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subst4) ).

fof('fresh-free-2',axiom,
    ! [X11,X9,X24,X12] :
      ( X24 = vgensym(vapp(vapp(X11,X12),vvar(X9)))
     => ~ visFreeVar(X24,X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fresh-free-2') ).

fof('fresh-unequal-var-3',axiom,
    ! [X11,X12,X9,X24] :
      ( X24 = vgensym(vapp(vapp(X11,X12),vvar(X9)))
     => X9 != X24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fresh-unequal-var-3') ).

fof(isFreeVar2,axiom,
    ! [X1,X4,X12,X14,X13] :
      ( ( X1 = X14
        & X4 = vapp(X12,X13) )
     => ( ( ( visFreeVar(X14,X12)
            | visFreeVar(X14,X13) )
         => visFreeVar(X1,X4) )
        & ( visFreeVar(X1,X4)
         => ( visFreeVar(X14,X12)
            | visFreeVar(X14,X13) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isFreeVar2) ).

fof('gensym-is-fresh',axiom,
    ! [X14,X11] :
      ( vgensym(X11) = X14
     => ~ visFreeVar(X14,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gensym-is-fresh') ).

fof(c_0_9,negated_conjecture,
    ~ ! [X15,X20,X9,X11,X21,X10,X28] :
        ( ( X9 != X21
          & visFreeVar(X21,X11)
          & vtcheck(X20,X11,X15)
          & vtcheck(vbind(X9,X15,X20),vabs(X21,X10,veabs),X28) )
       => vtcheck(X20,vsubst(X9,X11,vabs(X21,X10,veabs)),X28) ),
    inference(assume_negation,[status(cth)],['T-subst-abs-3']) ).

fof(c_0_10,plain,
    ! [X254,X255,X256,X257] :
      ( ~ vtcheck(X255,X254,X257)
      | ~ valphaEquivalent(X254,X256)
      | vtcheck(X255,X256,X257) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['alpha-equiv-typing'])]) ).

fof(c_0_11,negated_conjecture,
    ( esk25_0 != esk27_0
    & visFreeVar(esk27_0,esk26_0)
    & vtcheck(esk24_0,esk26_0,esk23_0)
    & vtcheck(vbind(esk25_0,esk23_0,esk24_0),vabs(esk27_0,esk28_0,veabs),esk29_0)
    & ~ vtcheck(esk24_0,vsubst(esk25_0,esk26_0,vabs(esk27_0,esk28_0,veabs)),esk29_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).

fof(c_0_12,plain,
    ! [X10,X9,X21,X11] :
      ( ~ visFreeVar(X21,X11)
     => valphaEquivalent(vabs(X9,X10,X11),vabs(X21,X10,vsubst(X9,vvar(X21),X11))) ),
    inference(fof_simplification,[status(thm)],['alpha-equiv-subst-abs']) ).

fof(c_0_13,plain,
    ! [X15,X20,X9,X11,X21,X10,X12,X28] :
      ( ( X9 != X21
        & ~ visFreeVar(X21,X11)
        & vtcheck(X20,X11,X15)
        & vtcheck(vbind(X9,X15,X20),vabs(X21,X10,X12),X28) )
     => vtcheck(X20,vsubst(X9,X11,vabs(X21,X10,X12)),X28) ),
    inference(fof_simplification,[status(thm)],['T-subst-abs-2-gen']) ).

cnf(c_0_14,plain,
    ( vtcheck(X1,X4,X3)
    | ~ vtcheck(X1,X2,X3)
    | ~ valphaEquivalent(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    vtcheck(vbind(esk25_0,esk23_0,esk24_0),vabs(esk27_0,esk28_0,veabs),esk29_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_16,plain,
    ! [X250,X251,X252,X253] :
      ( visFreeVar(X252,X253)
      | valphaEquivalent(vabs(X251,X250,X253),vabs(X252,X250,vsubst(X251,vvar(X252),X253))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).

fof(c_0_17,plain,
    ! [X261,X262,X263,X264,X265,X266,X267,X268] :
      ( X263 = X265
      | visFreeVar(X265,X264)
      | ~ vtcheck(X262,X264,X261)
      | ~ vtcheck(vbind(X263,X261,X262),vabs(X265,X266,X267),X268)
      | vtcheck(X262,vsubst(X263,X264,vabs(X265,X266,X267)),X268) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).

cnf(c_0_18,negated_conjecture,
    ( vtcheck(vbind(esk25_0,esk23_0,esk24_0),X1,esk29_0)
    | ~ valphaEquivalent(vabs(esk27_0,esk28_0,veabs),X1) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,plain,
    ( visFreeVar(X1,X2)
    | valphaEquivalent(vabs(X3,X4,X2),vabs(X1,X4,vsubst(X3,vvar(X1),X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_20,plain,
    ! [X173,X174,X175,X176,X177,X178,X179,X180,X181,X182] :
      ( X173 != X177
      | X174 != X178
      | X175 != vabs(X180,X179,X182)
      | X177 = X180
      | ~ visFreeVar(X180,X178)
      | X181 != vgensym(vapp(vapp(X178,X182),vvar(X177)))
      | X176 != vsubst(X173,X174,X175)
      | X176 = vsubst(X177,X178,vabs(X181,X179,vsubst(X180,vvar(X181),X182))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst4])]) ).

fof(c_0_21,plain,
    ! [X11,X9,X24,X12] :
      ( X24 = vgensym(vapp(vapp(X11,X12),vvar(X9)))
     => ~ visFreeVar(X24,X12) ),
    inference(fof_simplification,[status(thm)],['fresh-free-2']) ).

cnf(c_0_22,plain,
    ( X1 = X2
    | visFreeVar(X2,X3)
    | vtcheck(X4,vsubst(X1,X3,vabs(X2,X6,X7)),X8)
    | ~ vtcheck(X4,X3,X5)
    | ~ vtcheck(vbind(X1,X5,X4),vabs(X2,X6,X7),X8) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_23,negated_conjecture,
    ( vtcheck(vbind(esk25_0,esk23_0,esk24_0),vabs(X1,esk28_0,vsubst(esk27_0,vvar(X1),veabs)),esk29_0)
    | visFreeVar(X1,veabs) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_24,plain,
    ( X2 = X6
    | X10 = vsubst(X2,X4,vabs(X9,X7,vsubst(X6,vvar(X9),X8)))
    | X1 != X2
    | X3 != X4
    | X5 != vabs(X6,X7,X8)
    | ~ visFreeVar(X6,X4)
    | X9 != vgensym(vapp(vapp(X4,X8),vvar(X2)))
    | X10 != vsubst(X1,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_25,plain,
    ! [X269,X270,X271,X272] :
      ( X272 != vgensym(vapp(vapp(X269,X270),vvar(X271)))
      | X271 != X272 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['fresh-unequal-var-3'])]) ).

fof(c_0_26,plain,
    ! [X273,X274,X275,X276] :
      ( X275 != vgensym(vapp(vapp(X273,X276),vvar(X274)))
      | ~ visFreeVar(X275,X276) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])]) ).

fof(c_0_27,plain,
    ! [X73,X74,X75,X76,X77] :
      ( ( ~ visFreeVar(X76,X75)
        | visFreeVar(X73,X74)
        | X73 != X76
        | X74 != vapp(X75,X77) )
      & ( ~ visFreeVar(X76,X77)
        | visFreeVar(X73,X74)
        | X73 != X76
        | X74 != vapp(X75,X77) )
      & ( ~ visFreeVar(X73,X74)
        | visFreeVar(X76,X75)
        | visFreeVar(X76,X77)
        | X73 != X76
        | X74 != vapp(X75,X77) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar2])])]) ).

cnf(c_0_28,negated_conjecture,
    ( esk25_0 = X1
    | vtcheck(esk24_0,vsubst(esk25_0,X2,vabs(X1,esk28_0,vsubst(esk27_0,vvar(X1),veabs))),esk29_0)
    | visFreeVar(X1,veabs)
    | visFreeVar(X1,X2)
    | ~ vtcheck(esk24_0,X2,esk23_0) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,negated_conjecture,
    vtcheck(esk24_0,esk26_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_30,plain,
    ( vsubst(X1,X2,vabs(vgensym(vapp(vapp(X2,X3),vvar(X1))),X4,vsubst(X5,vvar(vgensym(vapp(vapp(X2,X3),vvar(X1)))),X3))) = vsubst(X1,X2,vabs(X5,X4,X3))
    | X1 = X5
    | ~ visFreeVar(X5,X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_24])])])])]) ).

cnf(c_0_31,negated_conjecture,
    visFreeVar(esk27_0,esk26_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_32,plain,
    ( X1 != vgensym(vapp(vapp(X2,X3),vvar(X4)))
    | X4 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_33,plain,
    ( X1 != vgensym(vapp(vapp(X2,X3),vvar(X4)))
    | ~ visFreeVar(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_34,plain,
    ! [X14,X11] :
      ( vgensym(X11) = X14
     => ~ visFreeVar(X14,X11) ),
    inference(fof_simplification,[status(thm)],['gensym-is-fresh']) ).

cnf(c_0_35,plain,
    ( visFreeVar(X3,X4)
    | ~ visFreeVar(X1,X2)
    | X3 != X1
    | X4 != vapp(X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_36,negated_conjecture,
    ( esk25_0 = X1
    | vtcheck(esk24_0,vsubst(esk25_0,esk26_0,vabs(X1,esk28_0,vsubst(esk27_0,vvar(X1),veabs))),esk29_0)
    | visFreeVar(X1,esk26_0)
    | visFreeVar(X1,veabs) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_37,negated_conjecture,
    ( vsubst(X1,esk26_0,vabs(vgensym(vapp(vapp(esk26_0,X2),vvar(X1))),X3,vsubst(esk27_0,vvar(vgensym(vapp(vapp(esk26_0,X2),vvar(X1)))),X2))) = vsubst(X1,esk26_0,vabs(esk27_0,X3,X2))
    | X1 = esk27_0 ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_38,plain,
    vgensym(vapp(vapp(X1,X2),vvar(X3))) != X3,
    inference(er,[status(thm)],[c_0_32]) ).

cnf(c_0_39,negated_conjecture,
    ~ vtcheck(esk24_0,vsubst(esk25_0,esk26_0,vabs(esk27_0,esk28_0,veabs)),esk29_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_40,plain,
    ~ visFreeVar(vgensym(vapp(vapp(X1,X2),vvar(X3))),X2),
    inference(er,[status(thm)],[c_0_33]) ).

cnf(c_0_41,negated_conjecture,
    esk25_0 != esk27_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_42,plain,
    ! [X140,X141] :
      ( vgensym(X141) != X140
      | ~ visFreeVar(X140,X141) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])]) ).

cnf(c_0_43,plain,
    ( visFreeVar(X1,vapp(X2,X3))
    | ~ visFreeVar(X1,X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_35])]) ).

cnf(c_0_44,negated_conjecture,
    visFreeVar(vgensym(vapp(vapp(esk26_0,veabs),vvar(esk25_0))),esk26_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_41]) ).

cnf(c_0_45,plain,
    ( vgensym(X1) != X2
    | ~ visFreeVar(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    visFreeVar(vgensym(vapp(vapp(esk26_0,veabs),vvar(esk25_0))),vapp(esk26_0,X1)),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_47,plain,
    ~ visFreeVar(vgensym(X1),X1),
    inference(er,[status(thm)],[c_0_45]) ).

cnf(c_0_48,negated_conjecture,
    visFreeVar(vgensym(vapp(vapp(esk26_0,veabs),vvar(esk25_0))),vapp(vapp(esk26_0,X1),X2)),
    inference(spm,[status(thm)],[c_0_43,c_0_46]) ).

cnf(c_0_49,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_47,c_0_48]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : COM132+2 : TPTP v8.1.2. Released v6.4.0.
% 0.13/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35  % Computer : n031.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   : Tue Aug 29 13:47:41 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.22/0.59  start to proof: theBenchmark
% 106.54/106.70  % Version  : CSE_E---1.5
% 106.54/106.70  % Problem  : theBenchmark.p
% 106.54/106.70  % Proof found
% 106.54/106.70  % SZS status Theorem for theBenchmark.p
% 106.54/106.70  % SZS output start Proof
% See solution above
% 106.54/106.71  % Total time : 106.113000 s
% 106.54/106.71  % SZS output end Proof
% 106.54/106.71  % Total time : 106.123000 s
%------------------------------------------------------------------------------