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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : COM142+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:11:39 PM UTC 2026

% Result   : Theorem 1.11s 0.59s
% Output   : CNFRefutation 1.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   48 (  22 unt;   0 def)
%            Number of atoms       :  178 (  91 equ)
%            Maximal formula atoms :   72 (   3 avg)
%            Number of connectives :  185 (  55   ~;  88   |;  34   &)
%                                         (   0 <=>;   8  =>;   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;   7 con; 0-3 aty)
%            Number of variables   :  131 (  21 sgn  72   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('T-Weak-app',conjecture,
    ! [X9,X10,X20,X15] :
      ( ( vtcheck(X20,vapp(ve1app,ve2app),X15)
        & vlookup(X9,X20) = vnoType )
     => vtcheck(vbind(X9,X10,X20),vapp(ve1app,ve2app),X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-app') ).

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

fof('T-inv',axiom,
    ! [X11,X15,X20] :
      ( vtcheck(X20,X11,X15)
     => ( ? [X12,X13,X10] :
            ( vtcheck(X20,X13,X10)
            & vtcheck(X20,X12,varrow(X10,X15))
            & X11 = vapp(X12,X13) )
        | ? [X9,X13,X33,X34] :
            ( vtcheck(vbind(X9,X33,X20),X13,X34)
            & X15 = varrow(X33,X34)
            & X11 = vabs(X9,X33,X13) )
        | ? [X9] :
            ( vlookup(X9,X20) = vsomeType(X15)
            & X11 = vvar(X9) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-inv') ).

fof('EQ-app',axiom,
    ! [X4,X6,X7,X8] :
      ( ( ( X6 = X8
          & X4 = X7 )
       => vapp(X4,X6) = vapp(X7,X8) )
      & ( vapp(X4,X6) = vapp(X7,X8)
       => ( X6 = X8
          & X4 = X7 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-app') ).

fof('T-Weak-app-IH1',axiom,
    ! [X9,X10,X20,X15] :
      ( ( vtcheck(X20,ve1app,X15)
        & vlookup(X9,X20) = vnoType )
     => vtcheck(vbind(X9,X10,X20),ve1app,X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-app-IH1') ).

fof('T-Weak-app-IH2',axiom,
    ! [X9,X10,X20,X15] :
      ( ( vtcheck(X20,ve2app,X15)
        & vlookup(X9,X20) = vnoType )
     => vtcheck(vbind(X9,X10,X20),ve2app,X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-app-IH2') ).

fof('T-app',axiom,
    ! [X10,X20,X12,X13,X15] :
      ( ( vtcheck(X20,X13,X10)
        & vtcheck(X20,X12,varrow(X10,X15)) )
     => vtcheck(X20,vapp(X12,X13),X15) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-app') ).

fof(c_0_8,negated_conjecture,
    ~ ! [X9,X10,X20,X15] :
        ( ( vtcheck(X20,vapp(ve1app,ve2app),X15)
          & vlookup(X9,X20) = vnoType )
       => vtcheck(vbind(X9,X10,X20),vapp(ve1app,ve2app),X15) ),
    inference(assume_negation,[status(cth)],['T-Weak-app']) ).

fof(c_0_9,plain,
    ! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
    inference(fof_simplification,[status(thm)],['DIFF-abs-app']) ).

fof(c_0_10,plain,
    ! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
    inference(fof_simplification,[status(thm)],['DIFF-var-app']) ).

fof(c_0_11,plain,
    ! [X285,X286,X287] :
      ( ( ~ vtcheck(X287,X285,X286)
        | vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
        | vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287)) )
      & ( ~ vtcheck(X287,X285,X286)
        | vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
        | vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286)) )
      & ( ~ vtcheck(X287,X285,X286)
        | vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
        | vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287)) )
      & ( ~ vtcheck(X287,X285,X286)
        | vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
        | X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287)) )
      & ( ~ vtcheck(X287,X285,X286)
        | vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
        | X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286)) )
      & ( ~ vtcheck(X287,X285,X286)
        | vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
        | X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287)) )
      & ( ~ vtcheck(X287,X285,X286)
        | vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
        | X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
        | vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287)) )
      & ( ~ vtcheck(X287,X285,X286)
        | vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
        | X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
        | vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286)) )
      & ( ~ vtcheck(X287,X285,X286)
        | vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
        | X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
        | X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287)) )
      & ( ~ vtcheck(X287,X285,X286)
        | X285 = vvar(esk24_3(X285,X286,X287))
        | vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287)) )
      & ( ~ vtcheck(X287,X285,X286)
        | X285 = vvar(esk24_3(X285,X286,X287))
        | vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286)) )
      & ( ~ vtcheck(X287,X285,X286)
        | X285 = vvar(esk24_3(X285,X286,X287))
        | vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287)) )
      & ( ~ vtcheck(X287,X285,X286)
        | X285 = vvar(esk24_3(X285,X286,X287))
        | X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287)) )
      & ( ~ vtcheck(X287,X285,X286)
        | X285 = vvar(esk24_3(X285,X286,X287))
        | X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286)) )
      & ( ~ vtcheck(X287,X285,X286)
        | X285 = vvar(esk24_3(X285,X286,X287))
        | X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
        | X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287)) )
      & ( ~ vtcheck(X287,X285,X286)
        | X285 = vvar(esk24_3(X285,X286,X287))
        | X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
        | vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287)) )
      & ( ~ vtcheck(X287,X285,X286)
        | X285 = vvar(esk24_3(X285,X286,X287))
        | X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
        | vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286)) )
      & ( ~ vtcheck(X287,X285,X286)
        | X285 = vvar(esk24_3(X285,X286,X287))
        | X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
        | X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])])]) ).

fof(c_0_12,negated_conjecture,
    ( ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0)
    & vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0)
    & vlookup(esk32_0,esk34_0) = vnoType ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).

fof(c_0_13,plain,
    ! [X54,X55,X56,X57,X58] : vabs(X54,X55,X56) != vapp(X57,X58),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_9])]) ).

fof(c_0_14,plain,
    ! [X51,X52,X53] : vvar(X51) != vapp(X52,X53),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_10])]) ).

fof(c_0_15,plain,
    ! [X43,X44,X45,X46] :
      ( ( vapp(X43,X44) = vapp(X45,X46)
        | X44 != X46
        | X43 != X45 )
      & ( vapp(X43,X44) != vapp(X45,X46)
        | X44 = X46 )
      & ( vapp(X43,X44) != vapp(X45,X46)
        | X43 = X45 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-app'])])])]) ).

cnf(c_0_16,plain,
    ( ~ vtcheck(X3,X1,X2)
    | X1 = vvar(esk24_3(X1,X2,X3))
    | X1 = vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3))
    | X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,negated_conjecture,
    vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,plain,
    vabs(X1,X2,X3) != vapp(X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

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

cnf(c_0_20,plain,
    ( vapp(X1,X3) != vapp(X2,X4)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,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_16,c_0_17]),c_0_18]),c_0_19]) ).

cnf(c_0_22,negated_conjecture,
    ( vapp(ve1app,ve2app) != vapp(X1,X2)
    | esk29_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = X1 ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_23,negated_conjecture,
    esk29_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = ve1app,
    inference(er,[status(thm)],[c_0_22]) ).

fof(c_0_24,plain,
    ! [X296,X297,X298,X299] :
      ( vtcheck(vbind(X296,X297,X298),ve1app,X299)
      | ~ vtcheck(X298,ve1app,X299)
      | vlookup(X296,X298) != vnoType ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Weak-app-IH1'])])]) ).

cnf(c_0_25,plain,
    ( vapp(X3,X1) != vapp(X4,X2)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_26,negated_conjecture,
    vapp(ve1app,esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0)) = vapp(ve1app,ve2app),
    inference(rw,[status(thm)],[c_0_21,c_0_23]) ).

cnf(c_0_27,plain,
    ( ~ vtcheck(X2,ve1app,X3)
    | vlookup(X1,X2) != vnoType
    | vtcheck(vbind(X1,X4,X2),ve1app,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_28,negated_conjecture,
    vlookup(esk32_0,esk34_0) = vnoType,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_29,plain,
    ( ~ vtcheck(X1,X2,X3)
    | 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)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_30,plain,
    ! [X300,X301,X302,X303] :
      ( vtcheck(vbind(X300,X301,X302),ve2app,X303)
      | ~ vtcheck(X302,ve2app,X303)
      | vlookup(X300,X302) != vnoType ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Weak-app-IH2'])])]) ).

cnf(c_0_31,plain,
    ( ~ vtcheck(X1,X2,X3)
    | 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)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_32,negated_conjecture,
    ( vapp(ve1app,ve2app) != vapp(X2,X1)
    | esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = X1 ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

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

cnf(c_0_34,negated_conjecture,
    ( ~ vtcheck(esk34_0,ve1app,X2)
    | vtcheck(vbind(esk32_0,X1,esk34_0),ve1app,X2) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_35,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_29,c_0_17]),c_0_18]),c_0_19]),c_0_23]) ).

cnf(c_0_36,plain,
    ( ~ vtcheck(X2,ve2app,X3)
    | vlookup(X1,X2) != vnoType
    | vtcheck(vbind(X1,X4,X2),ve2app,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_37,negated_conjecture,
    vtcheck(esk34_0,esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0),esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_17]),c_0_18]),c_0_19]) ).

cnf(c_0_38,negated_conjecture,
    esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = ve2app,
    inference(er,[status(thm)],[c_0_32]) ).

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

cnf(c_0_40,negated_conjecture,
    vtcheck(vbind(esk32_0,X1,esk34_0),ve1app,varrow(esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0),esk35_0)),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ vtcheck(esk34_0,ve2app,X2)
    | vtcheck(vbind(esk32_0,X1,esk34_0),ve2app,X2) ),
    inference(spm,[status(thm)],[c_0_36,c_0_28]) ).

cnf(c_0_42,negated_conjecture,
    vtcheck(esk34_0,ve2app,esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0)),
    inference(rw,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ vtcheck(vbind(esk32_0,X1,esk34_0),X2,esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0))
    | vtcheck(vbind(esk32_0,X1,esk34_0),vapp(ve1app,X2),esk35_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_44,negated_conjecture,
    vtcheck(vbind(esk32_0,X1,esk34_0),ve2app,esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0)),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_45,negated_conjecture,
    ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_46,negated_conjecture,
    vtcheck(vbind(esk32_0,X1,esk34_0),vapp(ve1app,ve2app),esk35_0),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_47,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : COM142+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n014.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 14:18:04 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.11/0.59  % Version: 3.5.1
% 1.11/0.59  % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.11/0.59  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.11/0.59  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.11/0.59  % Starting new_bool_3 with 300s (1) cores
% 1.11/0.59  % Starting new_bool_1 with 300s (1) cores
% 1.11/0.59  % Starting sh5l with 300s (1) cores
% 1.11/0.59  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 90960 completed with status 0
% 1.11/0.59  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.11/0.59  % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.11/0.59  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.11/0.59  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.11/0.59  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.11/0.59  % No SInE strategy applied
% 1.11/0.59  % Search class: FGHSF-FSLF32-MFFFFFNN
% 1.11/0.59  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.11/0.59  % Starting SubtermCWHack with 136s (1) cores
% 1.11/0.59  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.11/0.59  % Starting G-E--_107_C36_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 1.11/0.59  % Starting new_bool_3 with 136s (1) cores
% 1.11/0.59  % Starting new_bool_1 with 136s (1) cores
% 1.11/0.59  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 90967 completed with status 0
% 1.11/0.59  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.11/0.59  % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.11/0.59  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.11/0.59  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.11/0.59  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.11/0.59  % No SInE strategy applied
% 1.11/0.59  % Search class: FGHSF-FSLF32-MFFFFFNN
% 1.11/0.59  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.11/0.59  % Starting SubtermCWHack with 136s (1) cores
% 1.11/0.59  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.11/0.59  % Preprocessing time       : 0.008 s
% 1.11/0.59  % Presaturation interreduction done
% 1.11/0.59  
% 1.11/0.59  % Proof found!
% 1.11/0.59  % SZS status Theorem
% 1.11/0.59  % SZS output start CNFRefutation
% See solution above
% 1.11/0.59  % Parsed axioms                        : 57
% 1.11/0.59  % Removed by relevancy pruning/SinE    : 0
% 1.11/0.59  % Initial clauses                      : 423
% 1.11/0.59  % Removed in clause preprocessing      : 13
% 1.11/0.59  % Initial clauses in saturation        : 410
% 1.11/0.59  % Processed clauses                    : 1027
% 1.11/0.59  % ...of these trivial                  : 28
% 1.11/0.59  % ...subsumed                          : 78
% 1.11/0.59  % ...remaining for further processing  : 921
% 1.11/0.59  % Other redundant clauses eliminated   : 300
% 1.11/0.59  % Clauses deleted for lack of memory   : 0
% 1.11/0.59  % Backward-subsumed                    : 0
% 1.11/0.59  % Backward-rewritten                   : 44
% 1.11/0.59  % Generated clauses                    : 2438
% 1.11/0.59  % ...of the previous two non-redundant : 2252
% 1.11/0.59  % ...aggressively subsumed             : 0
% 1.11/0.59  % Contextual simplify-reflections      : 0
% 1.11/0.59  % Paramodulations                      : 2174
% 1.11/0.59  % Factorizations                       : 0
% 1.11/0.59  % NegExts                              : 0
% 1.11/0.59  % Equation resolutions                 : 316
% 1.11/0.59  % Disequality decompositions           : 0
% 1.11/0.59  % Total rewrite steps                  : 159
% 1.11/0.59  % ...of those cached                   : 128
% 1.11/0.59  % Propositional unsat checks           : 0
% 1.11/0.59  %    Propositional check models        : 0
% 1.11/0.59  %    Propositional check unsatisfiable : 0
% 1.11/0.59  %    Propositional clauses             : 0
% 1.11/0.59  %    Propositional clauses after purity: 0
% 1.11/0.59  %    Propositional unsat core size     : 0
% 1.11/0.59  %    Propositional preprocessing time  : 0.000
% 1.11/0.59  %    Propositional encoding time       : 0.000
% 1.11/0.59  %    Propositional solver time         : 0.000
% 1.11/0.59  %    Success case prop preproc time    : 0.000
% 1.11/0.59  %    Success case prop encoding time   : 0.000
% 1.11/0.59  %    Success case prop solver time     : 0.000
% 1.11/0.59  % Current number of processed clauses  : 413
% 1.11/0.59  %    Positive orientable unit clauses  : 34
% 1.11/0.59  %    Positive unorientable unit clauses: 0
% 1.11/0.59  %    Negative unit clauses             : 18
% 1.11/0.59  %    Non-unit-clauses                  : 361
% 1.11/0.59  % Current number of unprocessed clauses: 1991
% 1.11/0.59  % ...number of literals in the above   : 7546
% 1.11/0.59  % Current number of archived formulas  : 0
% 1.11/0.59  % Current number of archived clauses   : 414
% 1.11/0.59  % Clause-clause subsumption calls (NU) : 56236
% 1.11/0.59  % Rec. Clause-clause subsumption calls : 13752
% 1.11/0.59  % Non-unit clause-clause subsumptions  : 58
% 1.11/0.59  % Unit Clause-clause subsumption calls : 3359
% 1.11/0.59  % Rewrite failures with RHS unbound    : 0
% 1.11/0.59  % BW rewrite match attempts            : 23
% 1.11/0.59  % BW rewrite match successes           : 6
% 1.11/0.59  % Condensation attempts                : 0
% 1.11/0.59  % Condensation successes               : 0
% 1.11/0.59  % Termbank termtop insertions          : 103649
% 1.11/0.59  % Search garbage collected termcells   : 3964
% 1.11/0.59  
% 1.11/0.59  % -------------------------------------------------
% 1.11/0.59  % User time                : 0.142 s
% 1.11/0.59  % System time              : 0.010 s
% 1.11/0.59  % Total time               : 0.152 s
% 1.11/0.59  % Maximum resident set size: 4464 pages
% 1.11/0.59  
% 1.11/0.59  % -------------------------------------------------
% 1.11/0.59  % User time                : 0.680 s
% 1.11/0.59  % System time              : 0.046 s
% 1.11/0.59  % Total time               : 0.726 s
% 1.11/0.59  % Maximum resident set size: 4864 pages
% 1.11/0.59  % E exiting
%------------------------------------------------------------------------------