TSTP Solution File: COM127+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : COM127+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n003.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 01:07:22 EDT 2022

% Result   : Theorem 7.98s 2.56s
% Output   : CNFRefutation 7.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   34 (  19 unt;   7 nHn;  32 RR)
%            Number of literals    :   71 (  51 equ;  35 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   5 con; 0-3 aty)
%            Number of variables   :   69 (  17 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_34,plain,
    ( visFreeVar(X1,X2)
    | X3 != X1
    | X4 != X3
    | X2 != vvar(X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_kxbx0nd/lgb.p',i_0_34) ).

cnf(i_0_144,plain,
    ( vvar(esk24_3(X1,X2,X3)) = 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
    | ~ vtcheck(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_kxbx0nd/lgb.p',i_0_144) ).

cnf(i_0_149,negated_conjecture,
    vtcheck(esk34_0,vvar(esk35_0),esk36_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_kxbx0nd/lgb.p',i_0_149) ).

cnf(i_0_5,plain,
    vvar(X1) != vabs(X2,X3,X4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_kxbx0nd/lgb.p',i_0_5) ).

cnf(i_0_6,plain,
    vvar(X1) != vapp(X2,X3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_kxbx0nd/lgb.p',i_0_6) ).

cnf(i_0_33,plain,
    ( X1 = X2
    | X3 != X2
    | X4 != vvar(X1)
    | ~ visFreeVar(X3,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_kxbx0nd/lgb.p',i_0_33) ).

cnf(i_0_148,negated_conjecture,
    ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vvar(esk35_0),esk36_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_kxbx0nd/lgb.p',i_0_148) ).

cnf(i_0_146,plain,
    ( vtcheck(X1,vvar(X2),X3)
    | vlookup(X2,X1) != vsomeType(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_kxbx0nd/lgb.p',i_0_146) ).

cnf(i_0_50,plain,
    ( X1 = X2
    | X3 = vlookup(X1,X4)
    | X5 != X1
    | X3 != vlookup(X5,X6)
    | X6 != vbind(X2,X7,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_kxbx0nd/lgb.p',i_0_50) ).

cnf(i_0_135,plain,
    ( vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
    | 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
    | ~ vtcheck(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_kxbx0nd/lgb.p',i_0_135) ).

cnf(i_0_150,negated_conjecture,
    ~ visFreeVar(esk32_0,vvar(esk35_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_kxbx0nd/lgb.p',i_0_150) ).

cnf(c_0_162,plain,
    ( visFreeVar(X1,X2)
    | X3 != X1
    | X4 != X3
    | X2 != vvar(X4) ),
    i_0_34 ).

cnf(c_0_163,plain,
    ( vvar(esk24_3(X1,X2,X3)) = 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
    | ~ vtcheck(X3,X1,X2) ),
    i_0_144 ).

cnf(c_0_164,negated_conjecture,
    vtcheck(esk34_0,vvar(esk35_0),esk36_0),
    i_0_149 ).

cnf(c_0_165,plain,
    vvar(X1) != vabs(X2,X3,X4),
    i_0_5 ).

cnf(c_0_166,plain,
    vvar(X1) != vapp(X2,X3),
    i_0_6 ).

cnf(c_0_167,plain,
    ( X1 = X2
    | X3 != X2
    | X4 != vvar(X1)
    | ~ visFreeVar(X3,X4) ),
    i_0_33 ).

cnf(c_0_168,plain,
    visFreeVar(X1,vvar(X1)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_162])])]) ).

cnf(c_0_169,negated_conjecture,
    vvar(esk24_3(vvar(esk35_0),esk36_0,esk34_0)) = vvar(esk35_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_165]),c_0_166]) ).

cnf(c_0_170,negated_conjecture,
    ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vvar(esk35_0),esk36_0),
    i_0_148 ).

cnf(c_0_171,plain,
    ( vtcheck(X1,vvar(X2),X3)
    | vlookup(X2,X1) != vsomeType(X3) ),
    i_0_146 ).

cnf(c_0_172,plain,
    ( X1 = X2
    | X3 = vlookup(X1,X4)
    | X5 != X1
    | X3 != vlookup(X5,X6)
    | X6 != vbind(X2,X7,X4) ),
    i_0_50 ).

cnf(c_0_173,plain,
    ( vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
    | 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
    | ~ vtcheck(X3,X1,X2) ),
    i_0_135 ).

cnf(c_0_174,plain,
    ( X1 = X2
    | ~ visFreeVar(X2,vvar(X1)) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_167])]) ).

cnf(c_0_175,plain,
    visFreeVar(esk24_3(vvar(esk35_0),esk36_0,esk34_0),vvar(esk35_0)),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_176,negated_conjecture,
    vlookup(esk35_0,vbind(esk32_0,esk33_0,esk34_0)) != vsomeType(esk36_0),
    inference(spm,[status(thm)],[c_0_170,c_0_171]) ).

cnf(c_0_177,plain,
    ( vlookup(X1,vbind(X2,X3,X4)) = vlookup(X1,X4)
    | X1 = X2 ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_172])])]) ).

cnf(c_0_178,negated_conjecture,
    vlookup(esk24_3(vvar(esk35_0),esk36_0,esk34_0),esk34_0) = vsomeType(esk36_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_164]),c_0_165]),c_0_166]) ).

cnf(c_0_179,plain,
    esk24_3(vvar(esk35_0),esk36_0,esk34_0) = esk35_0,
    inference(spm,[status(thm)],[c_0_174,c_0_175]) ).

cnf(c_0_180,negated_conjecture,
    ( esk32_0 = esk35_0
    | vlookup(esk35_0,esk34_0) != vsomeType(esk36_0) ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_181,negated_conjecture,
    vlookup(esk35_0,esk34_0) = vsomeType(esk36_0),
    inference(rw,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_182,negated_conjecture,
    ~ visFreeVar(esk32_0,vvar(esk35_0)),
    i_0_150 ).

cnf(c_0_183,negated_conjecture,
    esk32_0 = esk35_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_181])]) ).

cnf(c_0_184,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_183]),c_0_168])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : COM127+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n003.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % 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 17:16:59 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected SinE mode:
% 0.18/0.44  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.98/2.56  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.98/2.56  # No SInE strategy applied
% 7.98/2.56  # Trying AutoSched0 for 150 seconds
% 7.98/2.56  # AutoSched0-Mode selected heuristic G_E___208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.98/2.56  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.98/2.56  #
% 7.98/2.56  # Preprocessing time       : 0.024 s
% 7.98/2.56  # Presaturation interreduction done
% 7.98/2.56  
% 7.98/2.56  # Proof found!
% 7.98/2.56  # SZS status Theorem
% 7.98/2.56  # SZS output start CNFRefutation
% See solution above
% 7.98/2.56  # Training examples: 0 positive, 0 negative
% 7.98/2.56  
% 7.98/2.56  # -------------------------------------------------
% 7.98/2.56  # User time                : 0.033 s
% 7.98/2.56  # System time              : 0.007 s
% 7.98/2.56  # Total time               : 0.040 s
% 7.98/2.56  # Maximum resident set size: 7120 pages
% 7.98/2.56  
%------------------------------------------------------------------------------