TSTP Solution File: COM134+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : COM134+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:21:26 EDT 2023

% Result   : Theorem 0.23s 0.66s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   48 (  19 unt;   0 def)
%            Number of atoms       :  190 (  95 equ)
%            Maximal formula atoms :   72 (   3 avg)
%            Number of connectives :  203 (  61   ~;  96   |;  36   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;   7 con; 0-3 aty)
%            Number of variables   :  153 (  14 sgn;  86   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('T-subst-app',conjecture,
    ! [X15,X20,X9,X11,X34] :
      ( ( vtcheck(X20,X11,X15)
        & vtcheck(vbind(X9,X15,X20),vapp(ve1,ve2),X34) )
     => vtcheck(X20,vsubst(X9,X11,vapp(ve1,ve2)),X34) ),
    file('/export/starexec/sandbox2/tmp/tmp.qZouNnTZ50/E---3.1_11835.p','T-subst-app') ).

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/sandbox2/tmp/tmp.qZouNnTZ50/E---3.1_11835.p','T-inv') ).

fof('DIFF-abs-app',axiom,
    ! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
    file('/export/starexec/sandbox2/tmp/tmp.qZouNnTZ50/E---3.1_11835.p','DIFF-abs-app') ).

fof('DIFF-var-app',axiom,
    ! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
    file('/export/starexec/sandbox2/tmp/tmp.qZouNnTZ50/E---3.1_11835.p','DIFF-var-app') ).

fof('EQ-app',axiom,
    ! [X4,X6,X7,X8] :
      ( ( vapp(X4,X6) = vapp(X7,X8)
       => ( X4 = X7
          & X6 = X8 ) )
      & ( ( X4 = X7
          & X6 = X8 )
       => vapp(X4,X6) = vapp(X7,X8) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.qZouNnTZ50/E---3.1_11835.p','EQ-app') ).

fof('T-subst-IH-app1',axiom,
    ! [X15,X20,X9,X11,X34] :
      ( ( vtcheck(X20,X11,X15)
        & vtcheck(vbind(X9,X15,X20),ve1,X34) )
     => vtcheck(X20,vsubst(X9,X11,ve1),X34) ),
    file('/export/starexec/sandbox2/tmp/tmp.qZouNnTZ50/E---3.1_11835.p','T-subst-IH-app1') ).

fof('T-subst-IH-app2',axiom,
    ! [X15,X20,X9,X11,X34] :
      ( ( vtcheck(X20,X11,X15)
        & vtcheck(vbind(X9,X15,X20),ve2,X34) )
     => vtcheck(X20,vsubst(X9,X11,ve2),X34) ),
    file('/export/starexec/sandbox2/tmp/tmp.qZouNnTZ50/E---3.1_11835.p','T-subst-IH-app2') ).

fof('T-app',axiom,
    ! [X10,X20,X12,X13,X15] :
      ( ( vtcheck(X20,X12,varrow(X10,X15))
        & vtcheck(X20,X13,X10) )
     => vtcheck(X20,vapp(X12,X13),X15) ),
    file('/export/starexec/sandbox2/tmp/tmp.qZouNnTZ50/E---3.1_11835.p','T-app') ).

fof(subst2,axiom,
    ! [X1,X4,X6,X19,X12,X9,X11,X13] :
      ( ( X1 = X9
        & X4 = X11
        & X6 = vapp(X12,X13) )
     => ( X19 = vsubst(X1,X4,X6)
       => X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.qZouNnTZ50/E---3.1_11835.p',subst2) ).

fof(c_0_9,negated_conjecture,
    ~ ! [X15,X20,X9,X11,X34] :
        ( ( vtcheck(X20,X11,X15)
          & vtcheck(vbind(X9,X15,X20),vapp(ve1,ve2),X34) )
       => vtcheck(X20,vsubst(X9,X11,vapp(ve1,ve2)),X34) ),
    inference(assume_negation,[status(cth)],['T-subst-app']) ).

fof(c_0_10,plain,
    ! [X285,X286,X287] :
      ( ( X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287))
        | X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
        | X285 = vvar(esk24_3(X285,X286,X287))
        | ~ vtcheck(X287,X285,X286) )
      & ( vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286))
        | X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
        | X285 = vvar(esk24_3(X285,X286,X287))
        | ~ vtcheck(X287,X285,X286) )
      & ( vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287))
        | X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
        | X285 = vvar(esk24_3(X285,X286,X287))
        | ~ vtcheck(X287,X285,X286) )
      & ( X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287))
        | X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | X285 = vvar(esk24_3(X285,X286,X287))
        | ~ vtcheck(X287,X285,X286) )
      & ( vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286))
        | X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | X285 = vvar(esk24_3(X285,X286,X287))
        | ~ vtcheck(X287,X285,X286) )
      & ( vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287))
        | X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | X285 = vvar(esk24_3(X285,X286,X287))
        | ~ vtcheck(X287,X285,X286) )
      & ( X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287))
        | vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | X285 = vvar(esk24_3(X285,X286,X287))
        | ~ vtcheck(X287,X285,X286) )
      & ( vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286))
        | vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | X285 = vvar(esk24_3(X285,X286,X287))
        | ~ vtcheck(X287,X285,X286) )
      & ( vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287))
        | vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | X285 = vvar(esk24_3(X285,X286,X287))
        | ~ vtcheck(X287,X285,X286) )
      & ( X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287))
        | X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
        | vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
        | ~ vtcheck(X287,X285,X286) )
      & ( vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286))
        | X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
        | vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
        | ~ vtcheck(X287,X285,X286) )
      & ( vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287))
        | X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
        | vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
        | ~ vtcheck(X287,X285,X286) )
      & ( X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287))
        | X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
        | ~ vtcheck(X287,X285,X286) )
      & ( vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286))
        | X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
        | ~ vtcheck(X287,X285,X286) )
      & ( vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287))
        | X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
        | ~ vtcheck(X287,X285,X286) )
      & ( X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287))
        | vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
        | ~ vtcheck(X287,X285,X286) )
      & ( vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286))
        | vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
        | ~ vtcheck(X287,X285,X286) )
      & ( vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287))
        | vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
        | ~ vtcheck(X287,X285,X286) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])]) ).

fof(c_0_11,negated_conjecture,
    ( vtcheck(esk33_0,esk35_0,esk32_0)
    & vtcheck(vbind(esk34_0,esk32_0,esk33_0),vapp(ve1,ve2),esk36_0)
    & ~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vapp(ve1,ve2)),esk36_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).

fof(c_0_12,plain,
    ! [X54,X55,X56,X57,X58] : vabs(X54,X55,X56) != vapp(X57,X58),
    inference(variable_rename,[status(thm)],['DIFF-abs-app']) ).

fof(c_0_13,plain,
    ! [X51,X52,X53] : vvar(X51) != vapp(X52,X53),
    inference(variable_rename,[status(thm)],['DIFF-var-app']) ).

fof(c_0_14,plain,
    ! [X43,X44,X45,X46] :
      ( ( X43 = X45
        | vapp(X43,X44) != vapp(X45,X46) )
      & ( X44 = X46
        | vapp(X43,X44) != vapp(X45,X46) )
      & ( X43 != X45
        | X44 != X46
        | vapp(X43,X44) = vapp(X45,X46) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-app'])])]) ).

cnf(c_0_15,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_10]) ).

cnf(c_0_16,negated_conjecture,
    vtcheck(vbind(esk34_0,esk32_0,esk33_0),vapp(ve1,ve2),esk36_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,plain,
    vabs(X1,X2,X3) != vapp(X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,plain,
    vvar(X1) != vapp(X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    ( X1 = X2
    | vapp(X1,X3) != vapp(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,negated_conjecture,
    vapp(esk29_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)),esk30_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0))) = vapp(ve1,ve2),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]) ).

cnf(c_0_21,negated_conjecture,
    ( esk29_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)) = X1
    | vapp(ve1,ve2) != vapp(X1,X2) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_22,negated_conjecture,
    esk29_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)) = ve1,
    inference(er,[status(thm)],[c_0_21]) ).

cnf(c_0_23,plain,
    ( X1 = X2
    | vapp(X3,X1) != vapp(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_24,negated_conjecture,
    vapp(ve1,esk30_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0))) = vapp(ve1,ve2),
    inference(rw,[status(thm)],[c_0_20,c_0_22]) ).

fof(c_0_25,plain,
    ! [X311,X312,X313,X314,X315] :
      ( ~ vtcheck(X312,X314,X311)
      | ~ vtcheck(vbind(X313,X311,X312),ve1,X315)
      | vtcheck(X312,vsubst(X313,X314,ve1),X315) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-subst-IH-app1'])]) ).

cnf(c_0_26,plain,
    ( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
    | X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
    | X2 = vvar(esk24_3(X2,X3,X1))
    | ~ vtcheck(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_27,negated_conjecture,
    ( esk30_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)) = X1
    | vapp(ve1,ve2) != vapp(X2,X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_28,plain,
    ( vtcheck(X1,vsubst(X4,X2,ve1),X5)
    | ~ vtcheck(X1,X2,X3)
    | ~ vtcheck(vbind(X4,X3,X1),ve1,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_29,negated_conjecture,
    vtcheck(vbind(esk34_0,esk32_0,esk33_0),ve1,varrow(esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)),esk36_0)),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_16]),c_0_17]),c_0_18]),c_0_22]) ).

fof(c_0_30,plain,
    ! [X316,X317,X318,X319,X320] :
      ( ~ vtcheck(X317,X319,X316)
      | ~ vtcheck(vbind(X318,X316,X317),ve2,X320)
      | vtcheck(X317,vsubst(X318,X319,ve2),X320) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-subst-IH-app2'])]) ).

cnf(c_0_31,plain,
    ( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
    | X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
    | X2 = vvar(esk24_3(X2,X3,X1))
    | ~ vtcheck(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_32,negated_conjecture,
    esk30_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)) = ve2,
    inference(er,[status(thm)],[c_0_27]) ).

fof(c_0_33,plain,
    ! [X280,X281,X282,X283,X284] :
      ( ~ vtcheck(X281,X282,varrow(X280,X284))
      | ~ vtcheck(X281,X283,X280)
      | vtcheck(X281,vapp(X282,X283),X284) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-app'])]) ).

cnf(c_0_34,negated_conjecture,
    ( vtcheck(esk33_0,vsubst(esk34_0,X1,ve1),varrow(esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)),esk36_0))
    | ~ vtcheck(esk33_0,X1,esk32_0) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_35,negated_conjecture,
    vtcheck(esk33_0,esk35_0,esk32_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_36,plain,
    ( vtcheck(X1,vsubst(X4,X2,ve2),X5)
    | ~ vtcheck(X1,X2,X3)
    | ~ vtcheck(vbind(X4,X3,X1),ve2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_37,negated_conjecture,
    vtcheck(vbind(esk34_0,esk32_0,esk33_0),ve2,esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0))),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_16]),c_0_17]),c_0_18]),c_0_32]) ).

fof(c_0_38,plain,
    ! [X161,X162,X163,X164,X165,X166,X167,X168] :
      ( X161 != X166
      | X162 != X167
      | X163 != vapp(X165,X168)
      | X164 != vsubst(X161,X162,X163)
      | X164 = vapp(vsubst(X166,X167,X165),vsubst(X166,X167,X168)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst2])]) ).

cnf(c_0_39,plain,
    ( vtcheck(X1,vapp(X2,X5),X4)
    | ~ vtcheck(X1,X2,varrow(X3,X4))
    | ~ vtcheck(X1,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_40,negated_conjecture,
    vtcheck(esk33_0,vsubst(esk34_0,esk35_0,ve1),varrow(esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)),esk36_0)),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_41,negated_conjecture,
    ( vtcheck(esk33_0,vsubst(esk34_0,X1,ve2),esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)))
    | ~ vtcheck(esk33_0,X1,esk32_0) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_42,plain,
    ( X8 = vapp(vsubst(X2,X4,X6),vsubst(X2,X4,X7))
    | X1 != X2
    | X3 != X4
    | X5 != vapp(X6,X7)
    | X8 != vsubst(X1,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_43,negated_conjecture,
    ( vtcheck(esk33_0,vapp(vsubst(esk34_0,esk35_0,ve1),X1),esk36_0)
    | ~ vtcheck(esk33_0,X1,esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0))) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_44,negated_conjecture,
    vtcheck(esk33_0,vsubst(esk34_0,esk35_0,ve2),esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0))),
    inference(spm,[status(thm)],[c_0_41,c_0_35]) ).

cnf(c_0_45,plain,
    vapp(vsubst(X1,X2,X3),vsubst(X1,X2,X4)) = vsubst(X1,X2,vapp(X3,X4)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_42])])])]) ).

cnf(c_0_46,negated_conjecture,
    ~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vapp(ve1,ve2)),esk36_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_47,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_46]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : COM134+1 : TPTP v8.1.2. Released v6.4.0.
% 0.12/0.15  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n002.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 2400
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Oct  3 05:14:00 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.23/0.50  Running first-order theorem proving
% 0.23/0.50  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.qZouNnTZ50/E---3.1_11835.p
% 0.23/0.66  # Version: 3.1pre001
% 0.23/0.66  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.66  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.66  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.66  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.66  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.66  # Starting sh5l with 300s (1) cores
% 0.23/0.66  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 11916 completed with status 0
% 0.23/0.66  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.23/0.66  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.66  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.66  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.66  # No SInE strategy applied
% 0.23/0.66  # Search class: FGHSF-FSLF32-MFFFFFNN
% 0.23/0.66  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.66  # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 811s (1) cores
% 0.23/0.66  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.23/0.66  # Starting new_bool_3 with 136s (1) cores
% 0.23/0.66  # Starting new_bool_1 with 136s (1) cores
% 0.23/0.66  # Starting sh5l with 136s (1) cores
% 0.23/0.66  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 11923 completed with status 0
% 0.23/0.66  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.23/0.66  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.66  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.66  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.66  # No SInE strategy applied
% 0.23/0.66  # Search class: FGHSF-FSLF32-MFFFFFNN
% 0.23/0.66  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.66  # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 811s (1) cores
% 0.23/0.66  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.23/0.66  # Preprocessing time       : 0.008 s
% 0.23/0.66  # Presaturation interreduction done
% 0.23/0.66  
% 0.23/0.66  # Proof found!
% 0.23/0.66  # SZS status Theorem
% 0.23/0.66  # SZS output start CNFRefutation
% See solution above
% 0.23/0.66  # Parsed axioms                        : 60
% 0.23/0.66  # Removed by relevancy pruning/SinE    : 0
% 0.23/0.66  # Initial clauses                      : 423
% 0.23/0.66  # Removed in clause preprocessing      : 10
% 0.23/0.66  # Initial clauses in saturation        : 413
% 0.23/0.66  # Processed clauses                    : 1083
% 0.23/0.66  # ...of these trivial                  : 39
% 0.23/0.66  # ...subsumed                          : 77
% 0.23/0.66  # ...remaining for further processing  : 967
% 0.23/0.66  # Other redundant clauses eliminated   : 307
% 0.23/0.66  # Clauses deleted for lack of memory   : 0
% 0.23/0.66  # Backward-subsumed                    : 0
% 0.23/0.66  # Backward-rewritten                   : 42
% 0.23/0.66  # Generated clauses                    : 2725
% 0.23/0.66  # ...of the previous two non-redundant : 2521
% 0.23/0.66  # ...aggressively subsumed             : 0
% 0.23/0.66  # Contextual simplify-reflections      : 0
% 0.23/0.66  # Paramodulations                      : 2454
% 0.23/0.66  # Factorizations                       : 0
% 0.23/0.66  # NegExts                              : 0
% 0.23/0.66  # Equation resolutions                 : 323
% 0.23/0.66  # Total rewrite steps                  : 213
% 0.23/0.66  # Propositional unsat checks           : 0
% 0.23/0.66  #    Propositional check models        : 0
% 0.23/0.66  #    Propositional check unsatisfiable : 0
% 0.23/0.66  #    Propositional clauses             : 0
% 0.23/0.66  #    Propositional clauses after purity: 0
% 0.23/0.66  #    Propositional unsat core size     : 0
% 0.23/0.66  #    Propositional preprocessing time  : 0.000
% 0.23/0.66  #    Propositional encoding time       : 0.000
% 0.23/0.66  #    Propositional solver time         : 0.000
% 0.23/0.66  #    Success case prop preproc time    : 0.000
% 0.23/0.66  #    Success case prop encoding time   : 0.000
% 0.23/0.66  #    Success case prop solver time     : 0.000
% 0.23/0.66  # Current number of processed clauses  : 458
% 0.23/0.66  #    Positive orientable unit clauses  : 43
% 0.23/0.66  #    Positive unorientable unit clauses: 0
% 0.23/0.66  #    Negative unit clauses             : 23
% 0.23/0.66  #    Non-unit-clauses                  : 392
% 0.23/0.66  # Current number of unprocessed clauses: 2213
% 0.23/0.66  # ...number of literals in the above   : 8223
% 0.23/0.66  # Current number of archived formulas  : 0
% 0.23/0.66  # Current number of archived clauses   : 415
% 0.23/0.66  # Clause-clause subsumption calls (NU) : 55242
% 0.23/0.66  # Rec. Clause-clause subsumption calls : 13533
% 0.23/0.66  # Non-unit clause-clause subsumptions  : 55
% 0.23/0.66  # Unit Clause-clause subsumption calls : 3486
% 0.23/0.66  # Rewrite failures with RHS unbound    : 0
% 0.23/0.66  # BW rewrite match attempts            : 61
% 0.23/0.66  # BW rewrite match successes           : 5
% 0.23/0.66  # Condensation attempts                : 0
% 0.23/0.66  # Condensation successes               : 0
% 0.23/0.66  # Termbank termtop insertions          : 110815
% 0.23/0.66  
% 0.23/0.66  # -------------------------------------------------
% 0.23/0.66  # User time                : 0.149 s
% 0.23/0.66  # System time              : 0.004 s
% 0.23/0.66  # Total time               : 0.153 s
% 0.23/0.66  # Maximum resident set size: 2844 pages
% 0.23/0.66  
% 0.23/0.66  # -------------------------------------------------
% 0.23/0.66  # User time                : 0.716 s
% 0.23/0.66  # System time              : 0.011 s
% 0.23/0.66  # Total time               : 0.728 s
% 0.23/0.66  # Maximum resident set size: 1808 pages
% 0.23/0.66  % E---3.1 exiting
% 0.23/0.66  % E---3.1 exiting
%------------------------------------------------------------------------------