TSTP Solution File: COM126+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : COM126+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n018.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 01:14:28 EDT 2022

% Result   : Theorem 0.49s 54.67s
% Output   : CNFRefutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   55 (  18 unt;   0 def)
%            Number of atoms       :  221 (  93 equ)
%            Maximal formula atoms :   72 (   4 avg)
%            Number of connectives :  240 (  74   ~; 117   |;  38   &)
%                                         (   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    :   21 (  21 usr;   6 con; 0-3 aty)
%            Number of variables   :  163 (  31 sgn  78   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('T-Weak-FreeVar-app',conjecture,
    ! [X9,X10,X20,X15] :
      ( ( ~ visFreeVar(X9,vapp(ve1app,ve2app))
        & vtcheck(X20,vapp(ve1app,ve2app),X15) )
     => vtcheck(vbind(X9,X10,X20),vapp(ve1app,ve2app),X15) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','T-Weak-FreeVar-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/sandbox/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/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-abs-app') ).

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('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/sandbox/benchmark/Axioms/COM001+0.ax','EQ-app') ).

fof('T-Weak-FreeVar-app-IH1',axiom,
    ! [X9,X10,X20,X15] :
      ( ( ~ visFreeVar(X9,ve1app)
        & vtcheck(X20,ve1app,X15) )
     => vtcheck(vbind(X9,X10,X20),ve1app,X15) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','T-Weak-FreeVar-app-IH1') ).

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

fof('T-Weak-FreeVar-app-IH2',axiom,
    ! [X9,X10,X20,X15] :
      ( ( ~ visFreeVar(X9,ve2app)
        & vtcheck(X20,ve2app,X15) )
     => vtcheck(vbind(X9,X10,X20),ve2app,X15) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','T-Weak-FreeVar-app-IH2') ).

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/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar2) ).

fof(c_0_9,negated_conjecture,
    ~ ! [X9,X10,X20,X15] :
        ( ( ~ visFreeVar(X9,vapp(ve1app,ve2app))
          & vtcheck(X20,vapp(ve1app,ve2app),X15) )
       => vtcheck(vbind(X9,X10,X20),vapp(ve1app,ve2app),X15) ),
    inference(assume_negation,[status(cth)],['T-Weak-FreeVar-app']) ).

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,
    ( ~ visFreeVar(esk32_0,vapp(ve1app,ve2app))
    & vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0)
    & ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_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,
    ! [X7,X8,X9] : vvar(X7) != vapp(X8,X9),
    inference(variable_rename,[status(thm)],['DIFF-var-app']) ).

fof(c_0_14,plain,
    ! [X9,X10,X11,X12,X9,X10,X11,X12] :
      ( ( X9 = X11
        | vapp(X9,X10) != vapp(X11,X12) )
      & ( X10 = X12
        | vapp(X9,X10) != vapp(X11,X12) )
      & ( X9 != X11
        | X10 != X12
        | vapp(X9,X10) = vapp(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-app'])])])])]) ).

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,vapp(ve1app,ve2app),esk35_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 = X3
    | vapp(X1,X2) != vapp(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,negated_conjecture,
    vapp(esk29_3(vapp(ve1app,ve2app),esk35_0,esk34_0),esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0)) = vapp(ve1app,ve2app),
    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,
    ( X1 = esk29_3(vapp(ve1app,ve2app),esk35_0,esk34_0)
    | vapp(X1,X2) != vapp(ve1app,ve2app) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_22,negated_conjecture,
    esk29_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = ve1app,
    inference(er,[status(thm)],[c_0_21]) ).

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

cnf(c_0_24,negated_conjecture,
    vapp(ve1app,esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0)) = vapp(ve1app,ve2app),
    inference(rw,[status(thm)],[c_0_20,c_0_22]) ).

fof(c_0_25,plain,
    ! [X21,X22,X23,X24] :
      ( visFreeVar(X21,ve1app)
      | ~ vtcheck(X23,ve1app,X24)
      | vtcheck(vbind(X21,X22,X23),ve1app,X24) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-app-IH1'])])]) ).

cnf(c_0_26,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))
    | vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
    | ~ vtcheck(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_27,negated_conjecture,
    ( esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = X1
    | vapp(ve1app,ve2app) != vapp(X2,X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

fof(c_0_28,plain,
    ! [X21,X22,X23,X24,X25] :
      ( ~ vtcheck(X22,X23,varrow(X21,X25))
      | ~ vtcheck(X22,X24,X21)
      | vtcheck(X22,vapp(X23,X24),X25) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-app'])]) ).

cnf(c_0_29,plain,
    ( vtcheck(vbind(X1,X2,X3),ve1app,X4)
    | visFreeVar(X1,ve1app)
    | ~ vtcheck(X3,ve1app,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_30,negated_conjecture,
    vtcheck(esk34_0,ve1app,varrow(esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0),esk35_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_31,plain,
    ! [X21,X22,X23,X24] :
      ( visFreeVar(X21,ve2app)
      | ~ vtcheck(X23,ve2app,X24)
      | vtcheck(vbind(X21,X22,X23),ve2app,X24) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-app-IH2'])])]) ).

cnf(c_0_32,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))
    | vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
    | ~ vtcheck(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_33,negated_conjecture,
    esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = ve2app,
    inference(er,[status(thm)],[c_0_27]) ).

fof(c_0_34,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ( ~ visFreeVar(X18,X17)
        | visFreeVar(X15,X16)
        | X15 != X18
        | X16 != vapp(X17,X19) )
      & ( ~ visFreeVar(X18,X19)
        | visFreeVar(X15,X16)
        | X15 != X18
        | X16 != vapp(X17,X19) )
      & ( ~ visFreeVar(X15,X16)
        | visFreeVar(X18,X17)
        | visFreeVar(X18,X19)
        | X15 != X18
        | X16 != vapp(X17,X19) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar2])])]) ).

cnf(c_0_35,plain,
    ( vtcheck(X1,vapp(X2,X3),X4)
    | ~ vtcheck(X1,X3,X5)
    | ~ vtcheck(X1,X2,varrow(X5,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_36,negated_conjecture,
    ( vtcheck(vbind(X1,X2,esk34_0),ve1app,varrow(esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0),esk35_0))
    | visFreeVar(X1,ve1app) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_37,plain,
    ( vtcheck(vbind(X1,X2,X3),ve2app,X4)
    | visFreeVar(X1,ve2app)
    | ~ vtcheck(X3,ve2app,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_38,negated_conjecture,
    vtcheck(esk34_0,ve2app,esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0)),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_16]),c_0_17]),c_0_18]),c_0_33]) ).

cnf(c_0_39,plain,
    ( visFreeVar(X4,X1)
    | X1 != vapp(X2,X3)
    | X4 != X5
    | ~ visFreeVar(X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_40,negated_conjecture,
    ( vtcheck(vbind(X1,X2,esk34_0),vapp(ve1app,X3),esk35_0)
    | visFreeVar(X1,ve1app)
    | ~ vtcheck(vbind(X1,X2,esk34_0),X3,esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0)) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_41,negated_conjecture,
    ( vtcheck(vbind(X1,X2,esk34_0),ve2app,esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0))
    | visFreeVar(X1,ve2app) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_42,plain,
    ( visFreeVar(X1,X2)
    | X2 != vapp(X3,X4)
    | ~ visFreeVar(X1,X4) ),
    inference(er,[status(thm)],[c_0_39]) ).

cnf(c_0_43,negated_conjecture,
    ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_44,negated_conjecture,
    ( vtcheck(vbind(X1,X2,esk34_0),vapp(ve1app,ve2app),esk35_0)
    | visFreeVar(X1,ve2app)
    | visFreeVar(X1,ve1app) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_45,plain,
    ( visFreeVar(X4,X1)
    | X1 != vapp(X2,X3)
    | X4 != X5
    | ~ visFreeVar(X5,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_46,plain,
    ( visFreeVar(X1,vapp(X2,X3))
    | ~ visFreeVar(X1,X3) ),
    inference(er,[status(thm)],[c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    ( visFreeVar(esk32_0,ve1app)
    | visFreeVar(esk32_0,ve2app) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_48,plain,
    ( visFreeVar(X1,X2)
    | X2 != vapp(X3,X4)
    | ~ visFreeVar(X1,X3) ),
    inference(er,[status(thm)],[c_0_45]) ).

cnf(c_0_49,negated_conjecture,
    ~ visFreeVar(esk32_0,vapp(ve1app,ve2app)),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_50,negated_conjecture,
    ( visFreeVar(esk32_0,vapp(X1,ve2app))
    | visFreeVar(esk32_0,ve1app) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_51,plain,
    ( visFreeVar(X1,vapp(X2,X3))
    | ~ visFreeVar(X1,X2) ),
    inference(er,[status(thm)],[c_0_48]) ).

cnf(c_0_52,negated_conjecture,
    visFreeVar(esk32_0,ve1app),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_53,negated_conjecture,
    visFreeVar(esk32_0,vapp(ve1app,X1)),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_54,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_53])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COM126+1 : TPTP v8.1.0. Released v6.4.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 17:34:46 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.35/23.41  eprover: CPU time limit exceeded, terminating
% 0.35/23.41  eprover: CPU time limit exceeded, terminating
% 0.35/23.42  eprover: eprover: CPU time limit exceeded, terminating
% 0.35/23.42  CPU time limit exceeded, terminating
% 0.46/46.43  eprover: CPU time limit exceeded, terminating
% 0.46/46.43  eprover: CPU time limit exceeded, terminating
% 0.46/46.43  eprover: CPU time limit exceeded, terminating
% 0.46/46.44  eprover: CPU time limit exceeded, terminating
% 0.49/54.67  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.49/54.67  
% 0.49/54.67  # Failure: Resource limit exceeded (time)
% 0.49/54.67  # OLD status Res
% 0.49/54.67  # Preprocessing time       : 0.033 s
% 0.49/54.67  # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.49/54.67  
% 0.49/54.67  # Failure: Resource limit exceeded (time)
% 0.49/54.67  # OLD status Res
% 0.49/54.67  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.49/54.67  # Preprocessing time       : 0.010 s
% 0.49/54.67  # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.49/54.67  # Preprocessing time       : 0.017 s
% 0.49/54.67  
% 0.49/54.67  # Proof found!
% 0.49/54.67  # SZS status Theorem
% 0.49/54.67  # SZS output start CNFRefutation
% See solution above
% 0.49/54.67  # Proof object total steps             : 55
% 0.49/54.67  # Proof object clause steps            : 36
% 0.49/54.67  # Proof object formula steps           : 19
% 0.49/54.67  # Proof object conjectures             : 23
% 0.49/54.67  # Proof object clause conjectures      : 20
% 0.49/54.67  # Proof object formula conjectures     : 3
% 0.49/54.67  # Proof object initial clauses used    : 15
% 0.49/54.67  # Proof object initial formulas used   : 9
% 0.49/54.67  # Proof object generating inferences   : 17
% 0.49/54.67  # Proof object simplifying inferences  : 13
% 0.49/54.67  # Training examples: 0 positive, 0 negative
% 0.49/54.67  # Parsed axioms                        : 59
% 0.49/54.67  # Removed by relevancy pruning/SinE    : 0
% 0.49/54.67  # Initial clauses                      : 422
% 0.49/54.67  # Removed in clause preprocessing      : 10
% 0.49/54.67  # Initial clauses in saturation        : 412
% 0.49/54.67  # Processed clauses                    : 9144
% 0.49/54.67  # ...of these trivial                  : 182
% 0.49/54.67  # ...subsumed                          : 4846
% 0.49/54.67  # ...remaining for further processing  : 4116
% 0.49/54.67  # Other redundant clauses eliminated   : 2544
% 0.49/54.67  # Clauses deleted for lack of memory   : 70244
% 0.49/54.67  # Backward-subsumed                    : 207
% 0.49/54.67  # Backward-rewritten                   : 321
% 0.49/54.67  # Generated clauses                    : 239103
% 0.49/54.67  # ...of the previous two non-trivial   : 234325
% 0.49/54.67  # Contextual simplify-reflections      : 6898
% 0.49/54.67  # Paramodulations                      : 235102
% 0.49/54.67  # Factorizations                       : 0
% 0.49/54.67  # Equation resolutions                 : 4012
% 0.49/54.67  # Current number of processed clauses  : 3570
% 0.49/54.67  #    Positive orientable unit clauses  : 33
% 0.49/54.67  #    Positive unorientable unit clauses: 0
% 0.49/54.67  #    Negative unit clauses             : 14
% 0.49/54.67  #    Non-unit-clauses                  : 3523
% 0.49/54.67  # Current number of unprocessed clauses: 136390
% 0.49/54.67  # ...number of literals in the above   : 951534
% 0.49/54.67  # Current number of archived formulas  : 0
% 0.49/54.67  # Current number of archived clauses   : 528
% 0.49/54.67  # Clause-clause subsumption calls (NU) : 3104655
% 0.49/54.67  # Rec. Clause-clause subsumption calls : 348584
% 0.49/54.67  # Non-unit clause-clause subsumptions  : 11820
% 0.49/54.67  # Unit Clause-clause subsumption calls : 11957
% 0.49/54.67  # Rewrite failures with RHS unbound    : 0
% 0.49/54.67  # BW rewrite match attempts            : 173
% 0.49/54.67  # BW rewrite match successes           : 24
% 0.49/54.67  # Condensation attempts                : 0
% 0.49/54.67  # Condensation successes               : 0
% 0.49/54.67  # Termbank termtop insertions          : 29416846
% 0.49/54.67  
% 0.49/54.67  # -------------------------------------------------
% 0.49/54.67  # User time                : 7.972 s
% 0.49/54.67  # System time              : 0.083 s
% 0.49/54.67  # Total time               : 8.055 s
% 0.49/54.67  # Maximum resident set size: 130452 pages
% 0.52/69.44  eprover: CPU time limit exceeded, terminating
% 0.52/69.44  eprover: CPU time limit exceeded, terminating
% 0.52/69.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/69.45  eprover: No such file or directory
% 0.52/69.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/69.46  eprover: No such file or directory
% 0.52/69.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/69.46  eprover: No such file or directory
% 0.52/69.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/69.46  eprover: No such file or directory
% 0.52/69.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/69.46  eprover: No such file or directory
% 0.52/69.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/69.47  eprover: No such file or directory
% 0.52/69.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/69.47  eprover: No such file or directory
% 0.52/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/69.48  eprover: No such file or directory
% 0.52/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/69.48  eprover: No such file or directory
% 0.52/69.48  eprover: CPU time limit exceeded, terminating
% 0.52/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/69.48  eprover: No such file or directory
% 0.52/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/69.48  eprover: No such file or directory
% 0.52/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/69.49  eprover: No such file or directory
% 0.52/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/69.49  eprover: No such file or directory
% 0.52/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/69.49  eprover: No such file or directory
% 0.52/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/69.49  eprover: No such file or directory
% 0.52/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/69.50  eprover: No such file or directory
% 0.52/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/69.50  eprover: No such file or directory
% 0.52/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.52/69.50  eprover: No such file or directory
% 0.52/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/69.50  eprover: No such file or directory
% 0.52/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/69.50  eprover: No such file or directory
% 0.52/69.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/69.51  eprover: No such file or directory
% 0.52/69.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/69.51  eprover: No such file or directory
% 0.52/69.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/69.52  eprover: No such file or directory
% 0.52/69.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/69.52  eprover: No such file or directory
% 0.52/69.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/69.53  eprover: No such file or directory
% 0.52/69.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/69.53  eprover: No such file or directory
% 0.52/69.54  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/69.54  eprover: No such file or directory
%------------------------------------------------------------------------------