TSTP Solution File: COM139+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : COM139+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 01:07:26 EDT 2022

% Result   : Theorem 10.45s 2.83s
% Output   : CNFRefutation 10.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   56 (  23 unt;   0 def)
%            Number of atoms       :  213 ( 134 equ)
%            Maximal formula atoms :   72 (   3 avg)
%            Number of connectives :  225 (  68   ~; 106   |;  40   &)
%                                         (   0 <=>;  11  =>;   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;   8 con; 0-3 aty)
%            Number of variables   :  198 (  37 sgn  94   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('T-Weak-abs-1',conjecture,
    ! [X9,X10,X20,X21,X35,X15] :
      ( ( X9 != X21
        & vlookup(X9,X20) = vnoType
        & vtcheck(X20,vabs(X21,X35,veabs),X15) )
     => vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-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(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/sandbox2/benchmark/Axioms/COM001+0.ax',lookup2) ).

fof('T-Weak-abs-IH',axiom,
    ! [X9,X10,X20,X15] :
      ( ( vlookup(X9,X20) = vnoType
        & vtcheck(X20,veabs,X15) )
     => vtcheck(vbind(X9,X10,X20),veabs,X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-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('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
          & vlookup(X9,X20) = vnoType
          & vtcheck(X20,vabs(X21,X35,veabs),X15) )
       => vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
    inference(assume_negation,[status(cth)],['T-Weak-abs-1']) ).

fof(c_0_10,plain,
    ! [X286,X287,X288] :
      ( ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
        | X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
        | X286 = vvar(esk24_3(X286,X287,X288))
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
        | X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
        | X286 = vvar(esk24_3(X286,X287,X288))
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
        | X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
        | X286 = vvar(esk24_3(X286,X287,X288))
        | ~ vtcheck(X288,X286,X287) )
      & ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
        | X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | X286 = vvar(esk24_3(X286,X287,X288))
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
        | X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | X286 = vvar(esk24_3(X286,X287,X288))
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
        | X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | X286 = vvar(esk24_3(X286,X287,X288))
        | ~ vtcheck(X288,X286,X287) )
      & ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
        | vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | X286 = vvar(esk24_3(X286,X287,X288))
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
        | vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | X286 = vvar(esk24_3(X286,X287,X288))
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
        | vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | X286 = vvar(esk24_3(X286,X287,X288))
        | ~ vtcheck(X288,X286,X287) )
      & ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
        | X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
        | vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
        | X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
        | vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
        | X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
        | vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
        | ~ vtcheck(X288,X286,X287) )
      & ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
        | X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
        | X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
        | X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
        | ~ vtcheck(X288,X286,X287) )
      & ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
        | vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
        | vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
        | ~ vtcheck(X288,X286,X287) )
      & ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
        | vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
        | vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
        | ~ vtcheck(X288,X286,X287) ) ),
    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,
    ( esk32_0 != esk35_0
    & vlookup(esk32_0,esk34_0) = vnoType
    & 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)],[c_0_9])])]) ).

fof(c_0_12,plain,
    ! [X55,X56,X57,X58,X59] : vabs(X55,X56,X57) != vapp(X58,X59),
    inference(variable_rename,[status(thm)],['DIFF-abs-app']) ).

fof(c_0_13,plain,
    ! [X48,X49,X50,X51] : vvar(X48) != vabs(X49,X50,X51),
    inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).

fof(c_0_14,plain,
    ! [X38,X39,X40,X41,X42,X43] :
      ( ( X38 = X41
        | vabs(X38,X39,X40) != vabs(X41,X42,X43) )
      & ( X39 = X42
        | vabs(X38,X39,X40) != vabs(X41,X42,X43) )
      & ( X40 = X43
        | vabs(X38,X39,X40) != vabs(X41,X42,X43) )
      & ( X38 != X41
        | X39 != X42
        | X40 != X43
        | vabs(X38,X39,X40) = vabs(X41,X42,X43) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-abs'])])]) ).

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(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 = X2
    | vabs(X1,X3,X4) != vabs(X2,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]) ).

fof(c_0_23,plain,
    ! [X113,X114,X115,X116,X117,X118,X119] :
      ( X115 != X118
      | X116 != vbind(X114,X113,X119)
      | X118 = X114
      | X117 != vlookup(X115,X116)
      | X117 = vlookup(X118,X119) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup2])]) ).

cnf(c_0_24,plain,
    ( X1 = X2
    | vabs(X3,X4,X1) != vabs(X5,X6,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_25,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_26,plain,
    ( X2 = X4
    | X7 = vlookup(X2,X6)
    | X1 != X2
    | X3 != vbind(X4,X5,X6)
    | X7 != vlookup(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_27,negated_conjecture,
    ( esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = X1
    | vabs(esk35_0,esk36_0,veabs) != vabs(X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_28,plain,
    ( X1 = vlookup(X2,X3)
    | X2 = X4
    | X5 != vbind(X4,X6,X3)
    | X1 != vlookup(X2,X5) ),
    inference(er,[status(thm)],[c_0_26]) ).

cnf(c_0_29,negated_conjecture,
    esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = veabs,
    inference(er,[status(thm)],[c_0_27]) ).

fof(c_0_30,plain,
    ! [X297,X298,X299,X300] :
      ( vlookup(X297,X299) != vnoType
      | ~ vtcheck(X299,veabs,X300)
      | vtcheck(vbind(X297,X298,X299),veabs,X300) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Weak-abs-IH'])]) ).

cnf(c_0_31,plain,
    ( vlookup(X1,X2) = vlookup(X1,X3)
    | X1 = X4
    | X2 != vbind(X4,X5,X3) ),
    inference(er,[status(thm)],[c_0_28]) ).

cnf(c_0_32,plain,
    ( X1 = X2
    | vabs(X3,X1,X4) != vabs(X5,X2,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_33,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_25,c_0_29]) ).

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

cnf(c_0_35,plain,
    ( vlookup(X1,vbind(X2,X3,X4)) = vlookup(X1,X4)
    | X1 = X2 ),
    inference(er,[status(thm)],[c_0_31]) ).

cnf(c_0_36,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_32,c_0_33]) ).

cnf(c_0_37,plain,
    ( X1 = X2
    | vtcheck(vbind(X1,X3,vbind(X2,X4,X5)),veabs,X6)
    | vlookup(X1,X5) != vnoType
    | ~ vtcheck(vbind(X2,X4,X5),veabs,X6) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,negated_conjecture,
    vlookup(esk32_0,esk34_0) = vnoType,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_39,plain,
    ( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
    | vtcheck(vbind(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),X3),esk26_3(X1,X2,X3),esk28_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_40,negated_conjecture,
    esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = esk36_0,
    inference(er,[status(thm)],[c_0_36]) ).

fof(c_0_41,plain,
    ! [X139,X140,X141,X142,X143,X144,X145] :
      ( X141 = X139
      | ~ vtcheck(vbind(X141,X142,vbind(X139,X140,X143)),X144,X145)
      | vtcheck(vbind(X139,X140,vbind(X141,X142,X143)),X144,X145) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Swap'])]) ).

cnf(c_0_42,negated_conjecture,
    ( esk32_0 = X1
    | vtcheck(vbind(esk32_0,X2,vbind(X1,X3,esk34_0)),veabs,X4)
    | ~ vtcheck(vbind(X1,X3,esk34_0),veabs,X4) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_43,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_39,c_0_16]),c_0_17]),c_0_18]),c_0_22]),c_0_40]),c_0_29]) ).

cnf(c_0_44,negated_conjecture,
    esk32_0 != esk35_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_45,plain,
    ( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
    | X2 = varrow(esk27_3(X1,X2,X3),esk28_3(X1,X2,X3))
    | X1 = vvar(esk24_3(X1,X2,X3))
    | ~ vtcheck(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_46,plain,
    ! [X276,X277,X278,X279,X280] :
      ( ~ vtcheck(vbind(X277,X279,X276),X278,X280)
      | vtcheck(X276,vabs(X277,X279,X278),varrow(X279,X280)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-abs'])]) ).

cnf(c_0_47,plain,
    ( X1 = X2
    | vtcheck(vbind(X2,X4,vbind(X1,X3,X5)),X6,X7)
    | ~ vtcheck(vbind(X1,X3,vbind(X2,X4,X5)),X6,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_48,negated_conjecture,
    vtcheck(vbind(esk32_0,X1,vbind(esk35_0,esk36_0,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).

cnf(c_0_49,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_45,c_0_16]),c_0_17]),c_0_18]) ).

cnf(c_0_50,plain,
    ( vtcheck(X3,vabs(X1,X2,X4),varrow(X2,X5))
    | ~ vtcheck(vbind(X1,X2,X3),X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_51,negated_conjecture,
    vtcheck(vbind(esk35_0,esk36_0,vbind(esk32_0,X1,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_44]) ).

cnf(c_0_52,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_49,c_0_40]) ).

cnf(c_0_53,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_54,negated_conjecture,
    vtcheck(vbind(esk32_0,X1,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).

cnf(c_0_55,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COM139+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 16 17:22:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 10.45/2.83  # ENIGMATIC: Solved by autoschedule:
% 10.45/2.83  # No SInE strategy applied
% 10.45/2.83  # Trying AutoSched0 for 150 seconds
% 10.45/2.83  # AutoSched0-Mode selected heuristic G_E___107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN
% 10.45/2.83  # and selection function SelectCQPrecWNTNp.
% 10.45/2.83  #
% 10.45/2.83  # Preprocessing time       : 0.041 s
% 10.45/2.83  # Presaturation interreduction done
% 10.45/2.83  
% 10.45/2.83  # Proof found!
% 10.45/2.83  # SZS status Theorem
% 10.45/2.83  # SZS output start CNFRefutation
% See solution above
% 10.45/2.83  # Training examples: 0 positive, 0 negative
% 10.45/2.83  
% 10.45/2.83  # -------------------------------------------------
% 10.45/2.83  # User time                : 0.243 s
% 10.45/2.83  # System time              : 0.015 s
% 10.45/2.83  # Total time               : 0.258 s
% 10.45/2.83  # Maximum resident set size: 7116 pages
% 10.45/2.83  
%------------------------------------------------------------------------------