TSTP Solution File: COM140+1 by Enigma---0.5.1

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : COM140+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.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 9.12s 2.77s
% Output   : CNFRefutation 9.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   44 (  17 unt;  13 nHn;  26 RR)
%            Number of literals    :   94 (  30 equ;  42 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   8 con; 0-3 aty)
%            Number of variables   :  110 (  17 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_6,plain,
    ( vtcheck(X1,X2,X3)
    | ~ valphaEquivalent(X4,X2)
    | ~ vtcheck(X1,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nhfy_yci/lgb.p',i_0_6) ).

cnf(i_0_3,plain,
    ( visFreeVar(X1,X2)
    | valphaEquivalent(vabs(X3,X4,X2),vabs(X1,X4,vsubst(X3,vvar(X1),X2))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nhfy_yci/lgb.p',i_0_3) ).

cnf(i_0_154,negated_conjecture,
    vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nhfy_yci/lgb.p',i_0_154) ).

cnf(i_0_156,negated_conjecture,
    esk35_0 = esk32_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nhfy_yci/lgb.p',i_0_156) ).

cnf(i_0_4,plain,
    ( valphaEquivalent(X1,X2)
    | ~ valphaEquivalent(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nhfy_yci/lgb.p',i_0_4) ).

cnf(i_0_152,plain,
    ( X1 = X2
    | vtcheck(vbind(X1,X3,X4),vabs(X2,X5,X6),X7)
    | vlookup(X1,X4) != vnoType
    | ~ vtcheck(X4,vabs(X2,X5,X6),X7) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nhfy_yci/lgb.p',i_0_152) ).

cnf(i_0_155,negated_conjecture,
    vlookup(esk32_0,esk34_0) = vnoType,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nhfy_yci/lgb.p',i_0_155) ).

cnf(i_0_153,negated_conjecture,
    ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nhfy_yci/lgb.p',i_0_153) ).

cnf(i_0_46,plain,
    ( visFreeVar(X1,X2)
    | X3 != X1
    | X2 != vapp(X4,X5)
    | ~ visFreeVar(X3,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nhfy_yci/lgb.p',i_0_46) ).

cnf(i_0_36,plain,
    ( vgensym(X1) != X2
    | ~ visFreeVar(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nhfy_yci/lgb.p',i_0_36) ).

cnf(i_0_45,plain,
    ( visFreeVar(X1,X2)
    | X3 != X1
    | X2 != vapp(X4,X5)
    | ~ visFreeVar(X3,X5) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nhfy_yci/lgb.p',i_0_45) ).

cnf(i_0_40,plain,
    ( visFreeVar(X1,X2)
    | X3 != X1
    | X4 != X3
    | X2 != vvar(X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nhfy_yci/lgb.p',i_0_40) ).

cnf(c_0_169,plain,
    ( vtcheck(X1,X2,X3)
    | ~ valphaEquivalent(X4,X2)
    | ~ vtcheck(X1,X4,X3) ),
    i_0_6 ).

cnf(c_0_170,plain,
    ( visFreeVar(X1,X2)
    | valphaEquivalent(vabs(X3,X4,X2),vabs(X1,X4,vsubst(X3,vvar(X1),X2))) ),
    i_0_3 ).

cnf(c_0_171,negated_conjecture,
    vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0),
    i_0_154 ).

cnf(c_0_172,negated_conjecture,
    esk35_0 = esk32_0,
    i_0_156 ).

cnf(c_0_173,plain,
    ( valphaEquivalent(X1,X2)
    | ~ valphaEquivalent(X2,X1) ),
    i_0_4 ).

cnf(c_0_174,plain,
    ( X1 = X2
    | vtcheck(vbind(X1,X3,X4),vabs(X2,X5,X6),X7)
    | vlookup(X1,X4) != vnoType
    | ~ vtcheck(X4,vabs(X2,X5,X6),X7) ),
    i_0_152 ).

cnf(c_0_175,negated_conjecture,
    vlookup(esk32_0,esk34_0) = vnoType,
    i_0_155 ).

cnf(c_0_176,plain,
    ( visFreeVar(X1,X2)
    | vtcheck(X3,vabs(X1,X4,vsubst(X5,vvar(X1),X2)),X6)
    | ~ vtcheck(X3,vabs(X5,X4,X2),X6) ),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_177,negated_conjecture,
    vtcheck(esk34_0,vabs(esk32_0,esk36_0,veabs),esk37_0),
    inference(rw,[status(thm)],[c_0_171,c_0_172]) ).

cnf(c_0_178,plain,
    ( valphaEquivalent(vabs(X1,X2,vsubst(X3,vvar(X1),X4)),vabs(X3,X2,X4))
    | visFreeVar(X1,X4) ),
    inference(spm,[status(thm)],[c_0_173,c_0_170]) ).

cnf(c_0_179,negated_conjecture,
    ( esk32_0 = X1
    | vtcheck(vbind(esk32_0,X2,esk34_0),vabs(X1,X3,X4),X5)
    | ~ vtcheck(esk34_0,vabs(X1,X3,X4),X5) ),
    inference(spm,[status(thm)],[c_0_174,c_0_175]) ).

cnf(c_0_180,negated_conjecture,
    ( visFreeVar(X1,veabs)
    | vtcheck(esk34_0,vabs(X1,esk36_0,vsubst(esk32_0,vvar(X1),veabs)),esk37_0) ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_181,negated_conjecture,
    ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0),
    i_0_153 ).

cnf(c_0_182,plain,
    ( visFreeVar(X1,X2)
    | vtcheck(X3,vabs(X4,X5,X2),X6)
    | ~ vtcheck(X3,vabs(X1,X5,vsubst(X4,vvar(X1),X2)),X6) ),
    inference(spm,[status(thm)],[c_0_169,c_0_178]) ).

cnf(c_0_183,negated_conjecture,
    ( esk32_0 = X1
    | visFreeVar(X1,veabs)
    | vtcheck(vbind(esk32_0,X2,esk34_0),vabs(X1,esk36_0,vsubst(esk32_0,vvar(X1),veabs)),esk37_0) ),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_184,plain,
    ( visFreeVar(X1,X2)
    | X3 != X1
    | X2 != vapp(X4,X5)
    | ~ visFreeVar(X3,X4) ),
    i_0_46 ).

cnf(c_0_185,negated_conjecture,
    ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk32_0,esk36_0,veabs),esk37_0),
    inference(rw,[status(thm)],[c_0_181,c_0_172]) ).

cnf(c_0_186,negated_conjecture,
    ( esk32_0 = X1
    | visFreeVar(X1,veabs)
    | vtcheck(vbind(esk32_0,X2,esk34_0),vabs(esk32_0,esk36_0,veabs),esk37_0) ),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_187,plain,
    ( vgensym(X1) != X2
    | ~ visFreeVar(X2,X1) ),
    i_0_36 ).

cnf(c_0_188,plain,
    ( visFreeVar(X1,vapp(X2,X3))
    | ~ visFreeVar(X1,X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_184])]) ).

cnf(c_0_189,negated_conjecture,
    ( esk32_0 = X1
    | visFreeVar(X1,veabs) ),
    inference(spm,[status(thm)],[c_0_185,c_0_186]) ).

cnf(c_0_190,plain,
    ( visFreeVar(X1,X2)
    | X3 != X1
    | X2 != vapp(X4,X5)
    | ~ visFreeVar(X3,X5) ),
    i_0_45 ).

cnf(c_0_191,plain,
    ( visFreeVar(X1,X2)
    | X3 != X1
    | X4 != X3
    | X2 != vvar(X4) ),
    i_0_40 ).

cnf(c_0_192,plain,
    ~ visFreeVar(vgensym(X1),X1),
    inference(er,[status(thm)],[c_0_187]) ).

cnf(c_0_193,plain,
    ( esk32_0 = X1
    | visFreeVar(X1,vapp(veabs,X2)) ),
    inference(spm,[status(thm)],[c_0_188,c_0_189]) ).

cnf(c_0_194,plain,
    ( visFreeVar(X1,vapp(X2,X3))
    | ~ visFreeVar(X1,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_190])]) ).

cnf(c_0_195,plain,
    visFreeVar(X1,vvar(X1)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_191])])]) ).

cnf(c_0_196,plain,
    vgensym(vapp(veabs,X1)) = esk32_0,
    inference(spm,[status(thm)],[c_0_192,c_0_193]) ).

cnf(c_0_197,plain,
    visFreeVar(X1,vapp(X2,vvar(X1))),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_198,plain,
    ~ visFreeVar(esk32_0,vapp(veabs,X1)),
    inference(spm,[status(thm)],[c_0_192,c_0_196]) ).

cnf(c_0_199,plain,
    visFreeVar(X1,vapp(X2,vapp(X3,vvar(X1)))),
    inference(spm,[status(thm)],[c_0_194,c_0_197]) ).

cnf(c_0_200,plain,
    $false,
    inference(spm,[status(thm)],[c_0_198,c_0_199]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : COM140+1 : TPTP v8.1.0. Released v6.4.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n007.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jun 16 18:20:13 EDT 2022
% 0.13/0.33  % 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
% 9.12/2.77  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.12/2.77  # No SInE strategy applied
% 9.12/2.77  # Trying AutoSched0 for 150 seconds
% 9.12/2.77  # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
% 9.12/2.77  # and selection function SelectCQIPrecWNTNp.
% 9.12/2.77  #
% 9.12/2.77  # Preprocessing time       : 0.013 s
% 9.12/2.77  # Presaturation interreduction done
% 9.12/2.77  
% 9.12/2.77  # Proof found!
% 9.12/2.77  # SZS status Theorem
% 9.12/2.77  # SZS output start CNFRefutation
% See solution above
% 9.12/2.77  # Training examples: 0 positive, 0 negative
% 9.12/2.77  
% 9.12/2.77  # -------------------------------------------------
% 9.12/2.77  # User time                : 0.257 s
% 9.12/2.77  # System time              : 0.019 s
% 9.12/2.77  # Total time               : 0.276 s
% 9.12/2.77  # Maximum resident set size: 7120 pages
% 9.12/2.77  
%------------------------------------------------------------------------------