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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : COM135+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 01:07:25 EDT 2022

% Result   : Theorem 8.40s 2.54s
% Output   : CNFRefutation 8.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   45 (  23 unt;  10 nHn;  40 RR)
%            Number of literals    :  109 (  80 equ;  57 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;   6 con; 0-3 aty)
%            Number of variables   :  112 (  22 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_112,plain,
    ( X1 = X2
    | X3 = vvar(X2)
    | X4 != X5
    | X6 != X1
    | X7 != vvar(X2)
    | X3 != vsubst(X6,X4,X7) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mr66vus9/lgb.p',i_0_112) ).

cnf(i_0_33,plain,
    ( X1 = X2
    | X3 != X2
    | X4 != vvar(X1)
    | ~ visFreeVar(X3,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mr66vus9/lgb.p',i_0_33) ).

cnf(i_0_145,plain,
    ( visFreeVar(X1,X2)
    | vtcheck(X3,X2,X4)
    | ~ vtcheck(vbind(X1,X5,X3),X2,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mr66vus9/lgb.p',i_0_145) ).

cnf(i_0_147,negated_conjecture,
    vtcheck(vbind(esk34_0,esk32_0,esk33_0),vvar(esk36_0),esk37_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mr66vus9/lgb.p',i_0_147) ).

cnf(i_0_146,negated_conjecture,
    ~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vvar(esk36_0)),esk37_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mr66vus9/lgb.p',i_0_146) ).

cnf(i_0_34,plain,
    ( visFreeVar(X1,X2)
    | X3 != X1
    | X4 != X3
    | X2 != vvar(X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mr66vus9/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/sandbox/tmp/enigma-theBenchmark.p-mr66vus9/lgb.p',i_0_144) ).

cnf(i_0_5,plain,
    vvar(X1) != vabs(X2,X3,X4),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mr66vus9/lgb.p',i_0_5) ).

cnf(i_0_6,plain,
    vvar(X1) != vapp(X2,X3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mr66vus9/lgb.p',i_0_6) ).

cnf(i_0_49,plain,
    ( X1 = vsomeType(X2)
    | X3 != X4
    | X5 != X3
    | X1 != vlookup(X5,X6)
    | X6 != vbind(X4,X2,X7) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mr66vus9/lgb.p',i_0_49) ).

cnf(i_0_111,plain,
    ( X1 = X2
    | X3 != X1
    | X4 != X5
    | X6 != X4
    | X7 != vvar(X5)
    | X2 != vsubst(X6,X3,X7) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mr66vus9/lgb.p',i_0_111) ).

cnf(i_0_32,plain,
    ( X1 = X2
    | X2 != vgetSomeType(X3)
    | X3 != vsomeType(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mr66vus9/lgb.p',i_0_32) ).

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/sandbox/tmp/enigma-theBenchmark.p-mr66vus9/lgb.p',i_0_135) ).

cnf(i_0_148,negated_conjecture,
    vtcheck(esk33_0,esk35_0,esk32_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mr66vus9/lgb.p',i_0_148) ).

cnf(c_0_163,plain,
    ( X1 = X2
    | X3 = vvar(X2)
    | X4 != X5
    | X6 != X1
    | X7 != vvar(X2)
    | X3 != vsubst(X6,X4,X7) ),
    i_0_112 ).

cnf(c_0_164,plain,
    ( X1 = X2
    | X3 != X2
    | X4 != vvar(X1)
    | ~ visFreeVar(X3,X4) ),
    i_0_33 ).

cnf(c_0_165,plain,
    ( visFreeVar(X1,X2)
    | vtcheck(X3,X2,X4)
    | ~ vtcheck(vbind(X1,X5,X3),X2,X4) ),
    i_0_145 ).

cnf(c_0_166,negated_conjecture,
    vtcheck(vbind(esk34_0,esk32_0,esk33_0),vvar(esk36_0),esk37_0),
    i_0_147 ).

cnf(c_0_167,negated_conjecture,
    ~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vvar(esk36_0)),esk37_0),
    i_0_146 ).

cnf(c_0_168,plain,
    ( vsubst(X1,X2,vvar(X3)) = vvar(X3)
    | X1 = X3 ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_163])])])]) ).

cnf(c_0_169,plain,
    ( X1 = X2
    | ~ visFreeVar(X2,vvar(X1)) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_164])]) ).

cnf(c_0_170,negated_conjecture,
    ( visFreeVar(esk34_0,vvar(esk36_0))
    | vtcheck(esk33_0,vvar(esk36_0),esk37_0) ),
    inference(spm,[status(thm)],[c_0_165,c_0_166]) ).

cnf(c_0_171,negated_conjecture,
    ( esk36_0 = esk34_0
    | ~ vtcheck(esk33_0,vvar(esk36_0),esk37_0) ),
    inference(spm,[status(thm)],[c_0_167,c_0_168]) ).

cnf(c_0_172,plain,
    esk36_0 = esk34_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_171]) ).

cnf(c_0_173,plain,
    ( visFreeVar(X1,X2)
    | X3 != X1
    | X4 != X3
    | X2 != vvar(X4) ),
    i_0_34 ).

cnf(c_0_174,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_175,negated_conjecture,
    vtcheck(vbind(esk34_0,esk32_0,esk33_0),vvar(esk34_0),esk37_0),
    inference(rw,[status(thm)],[c_0_166,c_0_172]) ).

cnf(c_0_176,plain,
    vvar(X1) != vabs(X2,X3,X4),
    i_0_5 ).

cnf(c_0_177,plain,
    vvar(X1) != vapp(X2,X3),
    i_0_6 ).

cnf(c_0_178,plain,
    visFreeVar(X1,vvar(X1)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_173])])]) ).

cnf(c_0_179,negated_conjecture,
    vvar(esk24_3(vvar(esk34_0),esk37_0,vbind(esk34_0,esk32_0,esk33_0))) = vvar(esk34_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176]),c_0_177]) ).

cnf(c_0_180,plain,
    visFreeVar(esk24_3(vvar(esk34_0),esk37_0,vbind(esk34_0,esk32_0,esk33_0)),vvar(esk34_0)),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_181,plain,
    ( X1 = vsomeType(X2)
    | X3 != X4
    | X5 != X3
    | X1 != vlookup(X5,X6)
    | X6 != vbind(X4,X2,X7) ),
    i_0_49 ).

cnf(c_0_182,plain,
    ( X1 = X2
    | X3 != X1
    | X4 != X5
    | X6 != X4
    | X7 != vvar(X5)
    | X2 != vsubst(X6,X3,X7) ),
    i_0_111 ).

cnf(c_0_183,plain,
    ( X1 = X2
    | X2 != vgetSomeType(X3)
    | X3 != vsomeType(X1) ),
    i_0_32 ).

cnf(c_0_184,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_185,plain,
    esk24_3(vvar(esk34_0),esk37_0,vbind(esk34_0,esk32_0,esk33_0)) = esk34_0,
    inference(spm,[status(thm)],[c_0_169,c_0_180]) ).

cnf(c_0_186,plain,
    vlookup(X1,vbind(X1,X2,X3)) = vsomeType(X2),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_181])])])]) ).

cnf(c_0_187,plain,
    vsubst(X1,X2,vvar(X1)) = X2,
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_182])])])])]) ).

cnf(c_0_188,plain,
    vgetSomeType(vsomeType(X1)) = X1,
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_183])]) ).

cnf(c_0_189,negated_conjecture,
    vsomeType(esk37_0) = vsomeType(esk32_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_175]),c_0_185]),c_0_186]),c_0_176]),c_0_177]) ).

cnf(c_0_190,negated_conjecture,
    ~ vtcheck(esk33_0,esk35_0,esk37_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_172]),c_0_187]) ).

cnf(c_0_191,plain,
    esk37_0 = esk32_0,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_188]) ).

cnf(c_0_192,negated_conjecture,
    vtcheck(esk33_0,esk35_0,esk32_0),
    i_0_148 ).

cnf(c_0_193,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_191]),c_0_192])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COM135+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 : n020.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 18:27:06 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox/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
% 8.40/2.54  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.40/2.54  # No SInE strategy applied
% 8.40/2.54  # Trying AutoSched0 for 150 seconds
% 8.40/2.54  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S05AN
% 8.40/2.54  # and selection function PSelectComplexExceptUniqMaxPosHorn.
% 8.40/2.54  #
% 8.40/2.54  # Preprocessing time       : 0.022 s
% 8.40/2.54  # Presaturation interreduction done
% 8.40/2.54  
% 8.40/2.54  # Proof found!
% 8.40/2.54  # SZS status Theorem
% 8.40/2.54  # SZS output start CNFRefutation
% See solution above
% 8.40/2.54  # Training examples: 0 positive, 0 negative
% 8.40/2.54  
% 8.40/2.54  # -------------------------------------------------
% 8.40/2.54  # User time                : 0.027 s
% 8.40/2.54  # System time              : 0.007 s
% 8.40/2.54  # Total time               : 0.034 s
% 8.40/2.54  # Maximum resident set size: 7124 pages
% 8.40/2.54  
%------------------------------------------------------------------------------