TSTP Solution File: COM123+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : COM123+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n027.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 01:14:27 EDT 2022

% Result   : Theorem 0.68s 69.88s
% Output   : CNFRefutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   55 (  21 unt;   0 def)
%            Number of atoms       :  223 ( 121 equ)
%            Maximal formula atoms :   72 (   4 avg)
%            Number of connectives :  244 (  76   ~; 112   |;  45   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   22 (  22 usr;   7 con; 0-3 aty)
%            Number of variables   :  190 (  41 sgn  98   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('T-Weak-FreeVar-abs-1',conjecture,
    ! [X9,X10,X20,X21,X35,X15] :
      ( ( X9 != X21
        & ~ visFreeVar(X9,vabs(X21,X35,veabs))
        & vtcheck(X20,vabs(X21,X35,veabs),X15) )
     => vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','T-Weak-FreeVar-abs-1') ).

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/benchmark/Axioms/COM001+0.ax','T-inv') ).

fof('DIFF-abs-app',axiom,
    ! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
    file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-abs-app') ).

fof('DIFF-var-abs',axiom,
    ! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
    file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-var-abs') ).

fof('EQ-abs',axiom,
    ! [X1,X3,X4,X2,X5,X6] :
      ( ( vabs(X1,X3,X4) = vabs(X2,X5,X6)
       => ( X1 = X2
          & X3 = X5
          & X4 = X6 ) )
      & ( ( X1 = X2
          & X3 = X5
          & X4 = X6 )
       => vabs(X1,X3,X4) = vabs(X2,X5,X6) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-abs') ).

fof('T-Weak-FreeVar-abs-IH',axiom,
    ! [X9,X10,X20,X15] :
      ( ( ~ visFreeVar(X9,veabs)
        & vtcheck(X20,veabs,X15) )
     => vtcheck(vbind(X9,X10,X20),veabs,X15) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p','T-Weak-FreeVar-abs-IH') ).

fof('T-Context-Swap',axiom,
    ! [X21,X22,X9,X23,X20,X11,X15] :
      ( ( X9 != X21
        & vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15) )
     => vtcheck(vbind(X21,X22,vbind(X9,X23,X20)),X11,X15) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-Context-Swap') ).

fof(isFreeVar1,axiom,
    ! [X15,X1,X4,X9,X14,X11] :
      ( ( X1 = X14
        & X4 = vabs(X9,X15,X11) )
     => ( ( ( X9 != X14
            & visFreeVar(X14,X11) )
         => visFreeVar(X1,X4) )
        & ( visFreeVar(X1,X4)
         => ( X9 != X14
            & visFreeVar(X14,X11) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar1) ).

fof('T-abs',axiom,
    ! [X20,X9,X11,X10,X15] :
      ( vtcheck(vbind(X9,X10,X20),X11,X15)
     => vtcheck(X20,vabs(X9,X10,X11),varrow(X10,X15)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-abs') ).

fof(c_0_9,negated_conjecture,
    ~ ! [X9,X10,X20,X21,X35,X15] :
        ( ( X9 != X21
          & ~ visFreeVar(X9,vabs(X21,X35,veabs))
          & vtcheck(X20,vabs(X21,X35,veabs),X15) )
       => vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
    inference(assume_negation,[status(cth)],['T-Weak-FreeVar-abs-1']) ).

fof(c_0_10,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'])])])])])]) ).

fof(c_0_11,negated_conjecture,
    ( esk32_0 != esk35_0
    & ~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs))
    & vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0)
    & ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_9])])])]) ).

fof(c_0_12,plain,
    ! [X8,X9,X10,X11,X12] : vabs(X8,X9,X10) != vapp(X11,X12),
    inference(variable_rename,[status(thm)],['DIFF-abs-app']) ).

fof(c_0_13,plain,
    ! [X5,X6,X7,X8] : vvar(X5) != vabs(X6,X7,X8),
    inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).

fof(c_0_14,plain,
    ! [X7,X8,X9,X10,X11,X12,X7,X8,X9,X10,X11,X12] :
      ( ( X7 = X10
        | vabs(X7,X8,X9) != vabs(X10,X11,X12) )
      & ( X8 = X11
        | vabs(X7,X8,X9) != vabs(X10,X11,X12) )
      & ( X9 = X12
        | vabs(X7,X8,X9) != vabs(X10,X11,X12) )
      & ( X7 != X10
        | X8 != X11
        | X9 != X12
        | vabs(X7,X8,X9) = vabs(X10,X11,X12) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-abs'])])])])]) ).

cnf(c_0_15,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_10]) ).

cnf(c_0_16,negated_conjecture,
    vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_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) != vabs(X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    ( X1 = X4
    | vabs(X1,X2,X3) != vabs(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,negated_conjecture,
    vabs(esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) = vabs(esk35_0,esk36_0,veabs),
    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,
    ( esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = X1
    | vabs(esk35_0,esk36_0,veabs) != vabs(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_22,negated_conjecture,
    esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = esk35_0,
    inference(er,[status(thm)],[c_0_21]) ).

cnf(c_0_23,plain,
    ( X3 = X6
    | vabs(X1,X2,X3) != vabs(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_24,negated_conjecture,
    vabs(esk35_0,esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) = vabs(esk35_0,esk36_0,veabs),
    inference(rw,[status(thm)],[c_0_20,c_0_22]) ).

cnf(c_0_25,negated_conjecture,
    ( X1 = esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)
    | vabs(X2,X3,X1) != vabs(esk35_0,esk36_0,veabs) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_26,negated_conjecture,
    esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = veabs,
    inference(er,[status(thm)],[c_0_25]) ).

cnf(c_0_27,plain,
    ( X2 = X5
    | vabs(X1,X2,X3) != vabs(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_28,negated_conjecture,
    vabs(esk35_0,esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),veabs) = vabs(esk35_0,esk36_0,veabs),
    inference(rw,[status(thm)],[c_0_24,c_0_26]) ).

cnf(c_0_29,negated_conjecture,
    ( esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = X1
    | vabs(esk35_0,esk36_0,veabs) != vabs(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

fof(c_0_30,plain,
    ! [X21,X22,X23,X24] :
      ( visFreeVar(X21,veabs)
      | ~ vtcheck(X23,veabs,X24)
      | vtcheck(vbind(X21,X22,X23),veabs,X24) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-abs-IH'])])]) ).

cnf(c_0_31,plain,
    ( X2 = vvar(esk24_3(X2,X3,X1))
    | vtcheck(vbind(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),X1),esk26_3(X2,X3,X1),esk28_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_10]) ).

cnf(c_0_32,negated_conjecture,
    esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = esk36_0,
    inference(er,[status(thm)],[c_0_29]) ).

fof(c_0_33,plain,
    ! [X24,X25,X26,X27,X28,X29,X30] :
      ( X26 = X24
      | ~ vtcheck(vbind(X26,X27,vbind(X24,X25,X28)),X29,X30)
      | vtcheck(vbind(X24,X25,vbind(X26,X27,X28)),X29,X30) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Swap'])]) ).

cnf(c_0_34,plain,
    ( vtcheck(vbind(X1,X2,X3),veabs,X4)
    | visFreeVar(X1,veabs)
    | ~ vtcheck(X3,veabs,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_35,negated_conjecture,
    vtcheck(vbind(esk35_0,esk36_0,esk34_0),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_22]),c_0_32]),c_0_26]) ).

cnf(c_0_36,plain,
    ( X2 = vvar(esk24_3(X2,X3,X1))
    | X3 = varrow(esk27_3(X2,X3,X1),esk28_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_10]) ).

fof(c_0_37,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( ( X19 = X20
        | ~ visFreeVar(X20,X21)
        | visFreeVar(X17,X18)
        | X17 != X20
        | X18 != vabs(X19,X16,X21) )
      & ( X19 != X20
        | ~ visFreeVar(X17,X18)
        | X17 != X20
        | X18 != vabs(X19,X16,X21) )
      & ( visFreeVar(X20,X21)
        | ~ visFreeVar(X17,X18)
        | X17 != X20
        | X18 != vabs(X19,X16,X21) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar1])])]) ).

fof(c_0_38,plain,
    ! [X21,X22,X23,X24,X25] :
      ( ~ vtcheck(vbind(X22,X24,X21),X23,X25)
      | vtcheck(X21,vabs(X22,X24,X23),varrow(X24,X25)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-abs'])]) ).

cnf(c_0_39,plain,
    ( vtcheck(vbind(X1,X2,vbind(X3,X4,X5)),X6,X7)
    | X3 = X1
    | ~ vtcheck(vbind(X3,X4,vbind(X1,X2,X5)),X6,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_40,negated_conjecture,
    ( vtcheck(vbind(X1,X2,vbind(esk35_0,esk36_0,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0))
    | visFreeVar(X1,veabs) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_41,negated_conjecture,
    varrow(esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) = esk37_0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_16]),c_0_17]),c_0_18]) ).

cnf(c_0_42,plain,
    ( visFreeVar(X5,X1)
    | X2 = X6
    | X1 != vabs(X2,X3,X4)
    | X5 != X6
    | ~ visFreeVar(X6,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_43,plain,
    ( vtcheck(X1,vabs(X2,X3,X4),varrow(X3,X5))
    | ~ vtcheck(vbind(X2,X3,X1),X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_44,negated_conjecture,
    ( esk35_0 = X1
    | vtcheck(vbind(esk35_0,esk36_0,vbind(X1,X2,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0))
    | visFreeVar(X1,veabs) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_45,negated_conjecture,
    varrow(esk36_0,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) = esk37_0,
    inference(rw,[status(thm)],[c_0_41,c_0_32]) ).

cnf(c_0_46,plain,
    ( X1 = X2
    | visFreeVar(X2,X3)
    | X3 != vabs(X1,X4,X5)
    | ~ visFreeVar(X2,X5) ),
    inference(er,[status(thm)],[c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_48,negated_conjecture,
    ( esk35_0 = X1
    | vtcheck(vbind(X1,X2,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0)
    | visFreeVar(X1,veabs) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).

cnf(c_0_49,negated_conjecture,
    esk32_0 != esk35_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_50,plain,
    ( X1 = X2
    | visFreeVar(X2,vabs(X1,X3,X4))
    | ~ visFreeVar(X2,X4) ),
    inference(er,[status(thm)],[c_0_46]) ).

cnf(c_0_51,negated_conjecture,
    visFreeVar(esk32_0,veabs),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).

cnf(c_0_52,negated_conjecture,
    ~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs)),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_53,negated_conjecture,
    ( X1 = esk32_0
    | visFreeVar(esk32_0,vabs(X1,X2,veabs)) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_54,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_49]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : COM123+1 : TPTP v8.1.0. Released v6.4.0.
% 0.13/0.13  % Command  : run_ET %s %d
% 0.14/0.35  % Computer : n027.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  : 600
% 0.14/0.35  % DateTime : Thu Jun 16 18:32:21 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.41/23.42  eprover: CPU time limit exceeded, terminating
% 0.41/23.43  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.41/23.43  
% 0.41/23.43  eprover: CPU time limit exceeded, terminating
% 0.55/46.44  eprover: CPU time limit exceeded, terminating
% 0.55/46.44  eprover: CPU time limit exceeded, terminating
% 0.55/46.46  eprover: CPU time limit exceeded, terminating
% 0.55/46.48  eprover: CPU time limit exceeded, terminating
% 0.68/69.46  eprover: CPU time limit exceeded, terminating
% 0.68/69.48  eprover: CPU time limit exceeded, terminating
% 0.68/69.49  eprover: CPU time limit exceeded, terminating
% 0.68/69.52  eprover: CPU time limit exceeded, terminating
% 0.68/69.88  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.68/69.88  
% 0.68/69.88  # Failure: Resource limit exceeded (time)
% 0.68/69.88  # OLD status Res
% 0.68/69.88  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.68/69.88  # Preprocessing time       : 0.011 s
% 0.68/69.88  # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.68/69.88  
% 0.68/69.88  # Failure: Resource limit exceeded (time)
% 0.68/69.88  # OLD status Res
% 0.68/69.88  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.68/69.88  # Preprocessing time       : 0.017 s
% 0.68/69.88  # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.68/69.88  
% 0.68/69.88  # Failure: Resource limit exceeded (time)
% 0.68/69.88  # OLD status Res
% 0.68/69.88  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.68/69.88  # Preprocessing time       : 0.012 s
% 0.68/69.88  # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 0.68/69.88  # Preprocessing time       : 0.020 s
% 0.68/69.88  
% 0.68/69.88  # Proof found!
% 0.68/69.88  # SZS status Theorem
% 0.68/69.88  # SZS output start CNFRefutation
% See solution above
% 0.68/69.88  # Proof object total steps             : 55
% 0.68/69.88  # Proof object clause steps            : 36
% 0.68/69.88  # Proof object formula steps           : 19
% 0.68/69.88  # Proof object conjectures             : 25
% 0.68/69.88  # Proof object clause conjectures      : 22
% 0.68/69.88  # Proof object formula conjectures     : 3
% 0.68/69.88  # Proof object initial clauses used    : 16
% 0.68/69.88  # Proof object initial formulas used   : 9
% 0.68/69.88  # Proof object generating inferences   : 16
% 0.68/69.88  # Proof object simplifying inferences  : 16
% 0.68/69.88  # Training examples: 0 positive, 0 negative
% 0.68/69.88  # Parsed axioms                        : 58
% 0.68/69.88  # Removed by relevancy pruning/SinE    : 0
% 0.68/69.88  # Initial clauses                      : 422
% 0.68/69.88  # Removed in clause preprocessing      : 10
% 0.68/69.88  # Initial clauses in saturation        : 412
% 0.68/69.88  # Processed clauses                    : 543
% 0.68/69.88  # ...of these trivial                  : 2
% 0.68/69.88  # ...subsumed                          : 77
% 0.68/69.88  # ...remaining for further processing  : 464
% 0.68/69.88  # Other redundant clauses eliminated   : 29
% 0.68/69.88  # Clauses deleted for lack of memory   : 0
% 0.68/69.88  # Backward-subsumed                    : 0
% 0.68/69.88  # Backward-rewritten                   : 15
% 0.68/69.88  # Generated clauses                    : 522
% 0.68/69.88  # ...of the previous two non-trivial   : 490
% 0.68/69.88  # Contextual simplify-reflections      : 0
% 0.68/69.88  # Paramodulations                      : 397
% 0.68/69.88  # Factorizations                       : 0
% 0.68/69.88  # Equation resolutions                 : 136
% 0.68/69.88  # Current number of processed clauses  : 431
% 0.68/69.88  #    Positive orientable unit clauses  : 34
% 0.68/69.88  #    Positive unorientable unit clauses: 0
% 0.68/69.88  #    Negative unit clauses             : 28
% 0.68/69.88  #    Non-unit-clauses                  : 369
% 0.68/69.88  # Current number of unprocessed clauses: 348
% 0.68/69.88  # ...number of literals in the above   : 1093
% 0.68/69.88  # Current number of archived formulas  : 0
% 0.68/69.88  # Current number of archived clauses   : 15
% 0.68/69.88  # Clause-clause subsumption calls (NU) : 10439
% 0.68/69.88  # Rec. Clause-clause subsumption calls : 1718
% 0.68/69.88  # Non-unit clause-clause subsumptions  : 66
% 0.68/69.88  # Unit Clause-clause subsumption calls : 2619
% 0.68/69.88  # Rewrite failures with RHS unbound    : 0
% 0.68/69.88  # BW rewrite match attempts            : 23
% 0.68/69.88  # BW rewrite match successes           : 7
% 0.68/69.88  # Condensation attempts                : 0
% 0.68/69.88  # Condensation successes               : 0
% 0.68/69.88  # Termbank termtop insertions          : 43621
% 0.68/69.88  
% 0.68/69.88  # -------------------------------------------------
% 0.68/69.88  # User time                : 0.036 s
% 0.68/69.88  # System time              : 0.005 s
% 0.68/69.88  # Total time               : 0.041 s
% 0.68/69.88  # Maximum resident set size: 4860 pages
% 0.68/92.49  eprover: CPU time limit exceeded, terminating
% 0.68/92.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.51  eprover: No such file or directory
% 0.68/92.51  eprover: CPU time limit exceeded, terminating
% 0.68/92.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.52  eprover: No such file or directory
% 0.68/92.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.52  eprover: No such file or directory
% 0.68/92.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.53  eprover: No such file or directory
% 0.68/92.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.53  eprover: No such file or directory
% 0.68/92.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.53  eprover: No such file or directory
% 0.68/92.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.53  eprover: No such file or directory
% 0.68/92.54  eprover: CPU time limit exceeded, terminating
% 0.68/92.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.54  eprover: No such file or directory
% 0.68/92.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.54  eprover: No such file or directory
% 0.68/92.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.54  eprover: No such file or directory
% 0.68/92.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.54  eprover: No such file or directory
% 0.68/92.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.55  eprover: No such file or directory
% 0.68/92.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.55  eprover: No such file or directory
% 0.68/92.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.55  eprover: No such file or directory
% 0.68/92.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.68/92.55  eprover: No such file or directory
% 0.68/92.56  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.56  eprover: No such file or directory
% 0.68/92.56  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.68/92.56  eprover: No such file or directory
% 0.68/92.56  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.68/92.56  eprover: No such file or directory
% 0.68/92.56  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.56  eprover: No such file or directory
% 0.68/92.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.68/92.57  eprover: No such file or directory
% 0.68/92.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.68/92.57  eprover: No such file or directory
% 0.68/92.58  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.68/92.58  eprover: No such file or directory
% 0.68/92.58  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.68/92.58  eprover: No such file or directory
% 0.68/92.59  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.68/92.59  eprover: No such file or directory
%------------------------------------------------------------------------------