TSTP Solution File: COM143+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : COM143+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n028.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  : 600s
% DateTime : Fri Jul 15 01:14:34 EDT 2022

% Result   : Theorem 0.34s 16.54s
% Output   : CNFRefutation 0.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   60 (  19 unt;   0 def)
%            Number of atoms       :  244 ( 185 equ)
%            Maximal formula atoms :   72 (   4 avg)
%            Number of connectives :  276 (  92   ~; 135   |;  33   &)
%                                         (   0 <=>;  16  =>;   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    :   22 (  22 usr;   6 con; 0-3 aty)
%            Number of variables   :  226 (  26 sgn  98   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(subst1,axiom,
    ! [X11,X9,X1,X4,X6,X19,X21] :
      ( ( X1 = X9
        & X4 = X11
        & X6 = vvar(X21) )
     => ( X9 != X21
       => ( X19 = vsubst(X1,X4,X6)
         => X19 = vvar(X21) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst1) ).

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

fof(subst0,axiom,
    ! [X9,X21,X1,X4,X6,X19,X11] :
      ( ( X1 = X9
        & X4 = X11
        & X6 = vvar(X21) )
     => ( X9 = X21
       => ( X19 = vsubst(X1,X4,X6)
         => X19 = X11 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst0) ).

fof('T-Weak-var',conjecture,
    ! [X9,X10,X20,X21,X15] :
      ( ( vlookup(X9,X20) = vnoType
        & vtcheck(X20,vvar(X21),X15) )
     => vtcheck(vbind(X9,X10,X20),vvar(X21),X15) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','T-Weak-var') ).

fof(subst3,axiom,
    ! [X11,X9,X1,X4,X6,X19,X21,X15,X12] :
      ( ( X1 = X9
        & X4 = X11
        & X6 = vabs(X21,X15,X12) )
     => ( X9 = X21
       => ( X19 = vsubst(X1,X4,X6)
         => X19 = vabs(X21,X15,X12) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst3) ).

fof(lookup2,axiom,
    ! [X22,X21,X1,X16,X19,X9,X20] :
      ( ( X1 = X9
        & X16 = vbind(X21,X22,X20) )
     => ( X9 != X21
       => ( X19 = vlookup(X1,X16)
         => X19 = vlookup(X9,X20) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',lookup2) ).

fof('T-var',axiom,
    ! [X20,X9,X15] :
      ( vlookup(X9,X20) = vsomeType(X15)
     => vtcheck(X20,vvar(X9),X15) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-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_10,plain,
    ! [X22,X23,X24,X25,X26,X27,X28] :
      ( X24 != X23
      | X25 != X22
      | X26 != vvar(X28)
      | X23 = X28
      | X27 != vsubst(X24,X25,X26)
      | X27 = vvar(X28) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst1])]) ).

cnf(c_0_11,plain,
    ( X1 = vvar(X2)
    | X6 = X2
    | X1 != vsubst(X3,X4,X5)
    | X5 != vvar(X2)
    | X4 != X7
    | X3 != X6 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_12,plain,
    ! [X5,X6,X7,X8] : vvar(X5) != vabs(X6,X7,X8),
    inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).

fof(c_0_13,plain,
    ! [X35,X36,X37] :
      ( ( X35 = vapp(esk29_3(X35,X36,X37),esk30_3(X35,X36,X37))
        | X35 = vabs(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),esk26_3(X35,X36,X37))
        | X35 = vvar(esk24_3(X35,X36,X37))
        | ~ vtcheck(X37,X35,X36) )
      & ( vtcheck(X37,esk29_3(X35,X36,X37),varrow(esk31_3(X35,X36,X37),X36))
        | X35 = vabs(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),esk26_3(X35,X36,X37))
        | X35 = vvar(esk24_3(X35,X36,X37))
        | ~ vtcheck(X37,X35,X36) )
      & ( vtcheck(X37,esk30_3(X35,X36,X37),esk31_3(X35,X36,X37))
        | X35 = vabs(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),esk26_3(X35,X36,X37))
        | X35 = vvar(esk24_3(X35,X36,X37))
        | ~ vtcheck(X37,X35,X36) )
      & ( X35 = vapp(esk29_3(X35,X36,X37),esk30_3(X35,X36,X37))
        | X36 = varrow(esk27_3(X35,X36,X37),esk28_3(X35,X36,X37))
        | X35 = vvar(esk24_3(X35,X36,X37))
        | ~ vtcheck(X37,X35,X36) )
      & ( vtcheck(X37,esk29_3(X35,X36,X37),varrow(esk31_3(X35,X36,X37),X36))
        | X36 = varrow(esk27_3(X35,X36,X37),esk28_3(X35,X36,X37))
        | X35 = vvar(esk24_3(X35,X36,X37))
        | ~ vtcheck(X37,X35,X36) )
      & ( vtcheck(X37,esk30_3(X35,X36,X37),esk31_3(X35,X36,X37))
        | X36 = varrow(esk27_3(X35,X36,X37),esk28_3(X35,X36,X37))
        | X35 = vvar(esk24_3(X35,X36,X37))
        | ~ vtcheck(X37,X35,X36) )
      & ( X35 = vapp(esk29_3(X35,X36,X37),esk30_3(X35,X36,X37))
        | vtcheck(vbind(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),X37),esk26_3(X35,X36,X37),esk28_3(X35,X36,X37))
        | X35 = vvar(esk24_3(X35,X36,X37))
        | ~ vtcheck(X37,X35,X36) )
      & ( vtcheck(X37,esk29_3(X35,X36,X37),varrow(esk31_3(X35,X36,X37),X36))
        | vtcheck(vbind(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),X37),esk26_3(X35,X36,X37),esk28_3(X35,X36,X37))
        | X35 = vvar(esk24_3(X35,X36,X37))
        | ~ vtcheck(X37,X35,X36) )
      & ( vtcheck(X37,esk30_3(X35,X36,X37),esk31_3(X35,X36,X37))
        | vtcheck(vbind(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),X37),esk26_3(X35,X36,X37),esk28_3(X35,X36,X37))
        | X35 = vvar(esk24_3(X35,X36,X37))
        | ~ vtcheck(X37,X35,X36) )
      & ( X35 = vapp(esk29_3(X35,X36,X37),esk30_3(X35,X36,X37))
        | X35 = vabs(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),esk26_3(X35,X36,X37))
        | vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
        | ~ vtcheck(X37,X35,X36) )
      & ( vtcheck(X37,esk29_3(X35,X36,X37),varrow(esk31_3(X35,X36,X37),X36))
        | X35 = vabs(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),esk26_3(X35,X36,X37))
        | vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
        | ~ vtcheck(X37,X35,X36) )
      & ( vtcheck(X37,esk30_3(X35,X36,X37),esk31_3(X35,X36,X37))
        | X35 = vabs(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),esk26_3(X35,X36,X37))
        | vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
        | ~ vtcheck(X37,X35,X36) )
      & ( X35 = vapp(esk29_3(X35,X36,X37),esk30_3(X35,X36,X37))
        | X36 = varrow(esk27_3(X35,X36,X37),esk28_3(X35,X36,X37))
        | vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
        | ~ vtcheck(X37,X35,X36) )
      & ( vtcheck(X37,esk29_3(X35,X36,X37),varrow(esk31_3(X35,X36,X37),X36))
        | X36 = varrow(esk27_3(X35,X36,X37),esk28_3(X35,X36,X37))
        | vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
        | ~ vtcheck(X37,X35,X36) )
      & ( vtcheck(X37,esk30_3(X35,X36,X37),esk31_3(X35,X36,X37))
        | X36 = varrow(esk27_3(X35,X36,X37),esk28_3(X35,X36,X37))
        | vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
        | ~ vtcheck(X37,X35,X36) )
      & ( X35 = vapp(esk29_3(X35,X36,X37),esk30_3(X35,X36,X37))
        | vtcheck(vbind(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),X37),esk26_3(X35,X36,X37),esk28_3(X35,X36,X37))
        | vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
        | ~ vtcheck(X37,X35,X36) )
      & ( vtcheck(X37,esk29_3(X35,X36,X37),varrow(esk31_3(X35,X36,X37),X36))
        | vtcheck(vbind(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),X37),esk26_3(X35,X36,X37),esk28_3(X35,X36,X37))
        | vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
        | ~ vtcheck(X37,X35,X36) )
      & ( vtcheck(X37,esk30_3(X35,X36,X37),esk31_3(X35,X36,X37))
        | vtcheck(vbind(esk25_3(X35,X36,X37),esk27_3(X35,X36,X37),X37),esk26_3(X35,X36,X37),esk28_3(X35,X36,X37))
        | vlookup(esk24_3(X35,X36,X37),X37) = vsomeType(X36)
        | ~ vtcheck(X37,X35,X36) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])])])]) ).

cnf(c_0_14,plain,
    ( X1 = vvar(X2)
    | X2 = X3
    | X1 != vsubst(X3,X4,X5)
    | X5 != vvar(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_11])]) ).

cnf(c_0_15,plain,
    vvar(X1) != vabs(X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    ( X2 = vvar(esk24_3(X2,X3,X1))
    | X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
    | X2 = vapp(esk29_3(X2,X3,X1),esk30_3(X2,X3,X1))
    | ~ vtcheck(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_17,plain,
    ! [X7,X8,X9] : vvar(X7) != vapp(X8,X9),
    inference(variable_rename,[status(thm)],['DIFF-var-app']) ).

fof(c_0_18,plain,
    ! [X22,X23,X24,X25,X26,X27,X28] :
      ( X24 != X22
      | X25 != X28
      | X26 != vvar(X23)
      | X22 != X23
      | X27 != vsubst(X24,X25,X26)
      | X27 = X28 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst0])]) ).

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

cnf(c_0_20,plain,
    ( vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) = X1
    | vvar(esk24_3(X1,X2,X3)) = X1
    | vvar(X4) != X1
    | ~ vtcheck(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,plain,
    vvar(X1) != vapp(X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_22,negated_conjecture,
    ~ ! [X9,X10,X20,X21,X15] :
        ( ( vlookup(X9,X20) = vnoType
          & vtcheck(X20,vvar(X21),X15) )
       => vtcheck(vbind(X9,X10,X20),vvar(X21),X15) ),
    inference(assume_negation,[status(cth)],['T-Weak-var']) ).

fof(c_0_23,plain,
    ! [X22,X23,X24,X25,X26,X27,X28,X29,X30] :
      ( X24 != X23
      | X25 != X22
      | X26 != vabs(X28,X29,X30)
      | X23 != X28
      | X27 != vsubst(X24,X25,X26)
      | X27 = vabs(X28,X29,X30) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst3])]) ).

cnf(c_0_24,plain,
    ( X1 = X2
    | X1 != vsubst(X3,X4,X5)
    | X6 != X7
    | X5 != vvar(X7)
    | X4 != X2
    | X3 != X6 ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,plain,
    ( vsubst(X1,X2,vvar(X3)) = vvar(X3)
    | X3 = X1 ),
    inference(er,[status(thm)],[c_0_19]) ).

cnf(c_0_26,plain,
    ( vvar(esk24_3(vvar(X1),X2,X3)) = vvar(X1)
    | ~ vtcheck(X3,vvar(X1),X2) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_20]),c_0_21]) ).

fof(c_0_27,negated_conjecture,
    ( vlookup(esk32_0,esk34_0) = vnoType
    & vtcheck(esk34_0,vvar(esk35_0),esk36_0)
    & ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vvar(esk35_0),esk36_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).

fof(c_0_28,plain,
    ! [X23,X24,X25,X26,X27,X28,X29] :
      ( X25 != X28
      | X26 != vbind(X24,X23,X29)
      | X28 = X24
      | X27 != vlookup(X25,X26)
      | X27 = vlookup(X28,X29) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup2])]) ).

cnf(c_0_29,plain,
    ( X1 = vabs(X2,X3,X4)
    | X1 != vsubst(X5,X6,X7)
    | X8 != X2
    | X7 != vabs(X2,X3,X4)
    | X6 != X9
    | X5 != X8 ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_30,plain,
    ( X1 = X2
    | X1 != vsubst(X3,X2,X4)
    | X4 != vvar(X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_24])])]) ).

cnf(c_0_31,plain,
    ( vsubst(X1,X2,vvar(X3)) = vvar(X3)
    | esk24_3(vvar(X3),X4,X5) = X1
    | ~ vtcheck(X5,vvar(X3),X4) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_32,negated_conjecture,
    vtcheck(esk34_0,vvar(esk35_0),esk36_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_33,plain,
    ( X1 = vlookup(X2,X3)
    | X2 = X6
    | X1 != vlookup(X4,X5)
    | X5 != vbind(X6,X7,X3)
    | X4 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_34,plain,
    ( X1 = vabs(X2,X3,X4)
    | X5 != vabs(X2,X3,X4)
    | X1 != vsubst(X2,X6,X5) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_29])])]) ).

cnf(c_0_35,plain,
    ( vsubst(X1,X2,X3) = X2
    | X3 != vvar(X1) ),
    inference(er,[status(thm)],[c_0_30]) ).

cnf(c_0_36,negated_conjecture,
    ( vsubst(X1,X2,vvar(esk35_0)) = vvar(esk35_0)
    | esk24_3(vvar(esk35_0),esk36_0,esk34_0) = X1 ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

fof(c_0_37,plain,
    ! [X21,X22,X23] :
      ( vlookup(X22,X21) != vsomeType(X23)
      | vtcheck(X21,vvar(X22),X23) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-var'])]) ).

cnf(c_0_38,plain,
    ( X1 = vlookup(X2,X3)
    | X2 = X4
    | X5 != vbind(X4,X6,X3)
    | X1 != vlookup(X2,X5) ),
    inference(er,[status(thm)],[c_0_33]) ).

cnf(c_0_39,plain,
    ( vlookup(esk24_3(X2,X3,X1),X1) = vsomeType(X3)
    | X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
    | X2 = vapp(esk29_3(X2,X3,X1),esk30_3(X2,X3,X1))
    | ~ vtcheck(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_40,plain,
    ( X1 = vabs(X2,X3,X4)
    | X1 != vsubst(X2,X5,vabs(X2,X3,X4)) ),
    inference(er,[status(thm)],[c_0_34]) ).

cnf(c_0_41,negated_conjecture,
    ( esk24_3(vvar(esk35_0),esk36_0,esk34_0) = X1
    | vvar(esk35_0) = X2
    | vvar(esk35_0) != vvar(X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_42,negated_conjecture,
    ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vvar(esk35_0),esk36_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_43,plain,
    ( vtcheck(X1,vvar(X2),X3)
    | vlookup(X2,X1) != vsomeType(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_44,plain,
    ( X1 = vlookup(X2,X3)
    | X2 = X4
    | X1 != vlookup(X2,vbind(X4,X5,X3)) ),
    inference(er,[status(thm)],[c_0_38]) ).

cnf(c_0_45,plain,
    ( vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) = X1
    | vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
    | vvar(X4) != X1
    | ~ vtcheck(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_15,c_0_39]) ).

cnf(c_0_46,plain,
    vsubst(X1,X2,vabs(X1,X3,X4)) = vabs(X1,X3,X4),
    inference(er,[status(thm)],[c_0_40]) ).

cnf(c_0_47,negated_conjecture,
    ( esk24_3(vvar(esk35_0),esk36_0,esk34_0) = esk35_0
    | vvar(esk35_0) = X1 ),
    inference(er,[status(thm)],[c_0_41]) ).

cnf(c_0_48,negated_conjecture,
    vlookup(esk35_0,vbind(esk32_0,esk33_0,esk34_0)) != vsomeType(esk36_0),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_49,plain,
    ( vlookup(X1,vbind(X2,X3,X4)) = vlookup(X1,X4)
    | X1 = X2 ),
    inference(er,[status(thm)],[c_0_44]) ).

cnf(c_0_50,plain,
    ( vlookup(esk24_3(vvar(X1),X2,X3),X3) = vsomeType(X2)
    | ~ vtcheck(X3,vvar(X1),X2) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_45]),c_0_21]) ).

cnf(c_0_51,negated_conjecture,
    esk24_3(vvar(esk35_0),esk36_0,esk34_0) = esk35_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_15]) ).

cnf(c_0_52,negated_conjecture,
    ( esk32_0 = esk35_0
    | vsomeType(esk36_0) != vlookup(esk35_0,esk34_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_53,negated_conjecture,
    vsomeType(esk36_0) = vlookup(esk35_0,esk34_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_32])]) ).

cnf(c_0_54,negated_conjecture,
    vlookup(esk32_0,esk34_0) = vnoType,
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_55,negated_conjecture,
    esk32_0 = esk35_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]) ).

fof(c_0_56,plain,
    ! [X4] : vnoType != vsomeType(X4),
    inference(variable_rename,[status(thm)],['DIFF-noType-someType']) ).

cnf(c_0_57,negated_conjecture,
    vlookup(esk35_0,esk34_0) = vnoType,
    inference(rw,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_58,plain,
    vnoType != vsomeType(X1),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_59,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_57]),c_0_58]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : COM143+1 : TPTP v8.1.0. Released v6.4.0.
% 0.13/0.13  % Command  : run_ET %s %d
% 0.13/0.35  % Computer : n028.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jun 16 18:47:12 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.34/16.54  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.34/16.54  # Preprocessing time       : 0.033 s
% 0.34/16.54  
% 0.34/16.54  # Proof found!
% 0.34/16.54  # SZS status Theorem
% 0.34/16.54  # SZS output start CNFRefutation
% See solution above
% 0.34/16.54  # Proof object total steps             : 60
% 0.34/16.54  # Proof object clause steps            : 39
% 0.34/16.54  # Proof object formula steps           : 21
% 0.34/16.54  # Proof object conjectures             : 16
% 0.34/16.54  # Proof object clause conjectures      : 13
% 0.34/16.54  # Proof object formula conjectures     : 3
% 0.34/16.54  # Proof object initial clauses used    : 13
% 0.34/16.54  # Proof object initial formulas used   : 10
% 0.34/16.54  # Proof object generating inferences   : 19
% 0.34/16.54  # Proof object simplifying inferences  : 19
% 0.34/16.54  # Training examples: 0 positive, 0 negative
% 0.34/16.54  # Parsed axioms                        : 55
% 0.34/16.54  # Removed by relevancy pruning/SinE    : 0
% 0.34/16.54  # Initial clauses                      : 418
% 0.34/16.54  # Removed in clause preprocessing      : 10
% 0.34/16.54  # Initial clauses in saturation        : 408
% 0.34/16.54  # Processed clauses                    : 4970
% 0.34/16.54  # ...of these trivial                  : 4
% 0.34/16.54  # ...subsumed                          : 944
% 0.34/16.54  # ...remaining for further processing  : 4022
% 0.34/16.54  # Other redundant clauses eliminated   : 16138
% 0.34/16.54  # Clauses deleted for lack of memory   : 0
% 0.34/16.54  # Backward-subsumed                    : 139
% 0.34/16.54  # Backward-rewritten                   : 2087
% 0.34/16.54  # Generated clauses                    : 144483
% 0.34/16.54  # ...of the previous two non-trivial   : 127259
% 0.34/16.54  # Contextual simplify-reflections      : 810
% 0.34/16.54  # Paramodulations                      : 127760
% 0.34/16.54  # Factorizations                       : 1
% 0.34/16.54  # Equation resolutions                 : 16733
% 0.34/16.54  # Current number of processed clauses  : 1778
% 0.34/16.54  #    Positive orientable unit clauses  : 20
% 0.34/16.54  #    Positive unorientable unit clauses: 0
% 0.34/16.54  #    Negative unit clauses             : 265
% 0.34/16.54  #    Non-unit-clauses                  : 1493
% 0.34/16.54  # Current number of unprocessed clauses: 45793
% 0.34/16.54  # ...number of literals in the above   : 290431
% 0.34/16.54  # Current number of archived formulas  : 0
% 0.34/16.54  # Current number of archived clauses   : 2226
% 0.34/16.54  # Clause-clause subsumption calls (NU) : 6974316
% 0.34/16.54  # Rec. Clause-clause subsumption calls : 128150
% 0.34/16.54  # Non-unit clause-clause subsumptions  : 1856
% 0.34/16.54  # Unit Clause-clause subsumption calls : 114779
% 0.34/16.54  # Rewrite failures with RHS unbound    : 0
% 0.34/16.54  # BW rewrite match attempts            : 47
% 0.34/16.54  # BW rewrite match successes           : 16
% 0.34/16.54  # Condensation attempts                : 0
% 0.34/16.54  # Condensation successes               : 0
% 0.34/16.54  # Termbank termtop insertions          : 136714760
% 0.34/16.54  
% 0.34/16.54  # -------------------------------------------------
% 0.34/16.54  # User time                : 15.923 s
% 0.34/16.54  # System time              : 0.090 s
% 0.34/16.54  # Total time               : 16.013 s
% 0.34/16.54  # Maximum resident set size: 141944 pages
% 0.34/23.42  eprover: CPU time limit exceeded, terminating
% 0.34/23.42  eprover: CPU time limit exceeded, terminating
% 0.34/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.43  eprover: No such file or directory
% 0.34/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.43  eprover: No such file or directory
% 0.34/23.43  eprover: CPU time limit exceeded, terminating
% 0.34/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.43  eprover: No such file or directory
% 0.34/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.43  eprover: No such file or directory
% 0.34/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.44  eprover: No such file or directory
% 0.34/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.44  eprover: No such file or directory
% 0.34/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.44  eprover: No such file or directory
% 0.34/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.44  eprover: No such file or directory
% 0.34/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.44  eprover: No such file or directory
% 0.34/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.45  eprover: No such file or directory
% 0.34/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.45  eprover: No such file or directory
% 0.34/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.45  eprover: No such file or directory
% 0.34/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.45  eprover: No such file or directory
% 0.34/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.45  eprover: No such file or directory
% 0.34/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.45  eprover: No such file or directory
% 0.34/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.46  eprover: No such file or directory
% 0.34/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.46  eprover: No such file or directory
% 0.34/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.46  eprover: No such file or directory
% 0.34/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.46  eprover: No such file or directory
% 0.34/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.46  eprover: No such file or directory
% 0.34/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.46  eprover: No such file or directory
% 0.34/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.47  eprover: No such file or directory
% 0.34/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.47  eprover: No such file or directory
% 0.34/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.47  eprover: No such file or directory
% 0.34/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.47  eprover: No such file or directory
% 0.34/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.47  eprover: No such file or directory
% 0.34/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.47  eprover: No such file or directory
% 0.34/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.48  eprover: No such file or directory
% 0.34/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.48  eprover: No such file or directory
% 0.34/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.48  eprover: No such file or directory
% 0.34/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.48  eprover: No such file or directory
% 0.34/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.48  eprover: No such file or directory
% 0.34/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------