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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : COM143+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 01:07:27 EDT 2022

% Result   : Theorem 7.21s 2.56s
% Output   : CNFRefutation 7.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   53 (  18 unt;  23 nHn;  40 RR)
%            Number of literals    :  140 ( 121 equ;  69 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;   6 con; 0-3 aty)
%            Number of variables   :  176 (  35 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-izj0i2xb/lgb.p',i_0_112) ).

cnf(i_0_5,plain,
    vvar(X1) != vabs(X2,X3,X4),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-izj0i2xb/lgb.p',i_0_5) ).

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-izj0i2xb/lgb.p',i_0_144) ).

cnf(i_0_6,plain,
    vvar(X1) != vapp(X2,X3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-izj0i2xb/lgb.p',i_0_6) ).

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-izj0i2xb/lgb.p',i_0_111) ).

cnf(i_0_113,plain,
    ( X1 = vapp(vsubst(X2,X3,X4),vsubst(X2,X3,X5))
    | X6 != X3
    | X7 != X2
    | X8 != vapp(X4,X5)
    | X1 != vsubst(X7,X6,X8) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-izj0i2xb/lgb.p',i_0_113) ).

cnf(i_0_147,negated_conjecture,
    vtcheck(esk34_0,vvar(esk35_0),esk36_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-izj0i2xb/lgb.p',i_0_147) ).

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/sandbox/tmp/enigma-theBenchmark.p-izj0i2xb/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/sandbox/tmp/enigma-theBenchmark.p-izj0i2xb/lgb.p',i_0_135) ).

cnf(i_0_145,plain,
    ( vtcheck(X1,vvar(X2),X3)
    | vlookup(X2,X1) != vsomeType(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-izj0i2xb/lgb.p',i_0_145) ).

cnf(i_0_4,plain,
    vsomeType(X1) != vnoType,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-izj0i2xb/lgb.p',i_0_4) ).

cnf(i_0_146,negated_conjecture,
    ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vvar(esk35_0),esk36_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-izj0i2xb/lgb.p',i_0_146) ).

cnf(i_0_148,negated_conjecture,
    vlookup(esk32_0,esk34_0) = vnoType,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-izj0i2xb/lgb.p',i_0_148) ).

cnf(c_0_162,plain,
    ( X1 = X2
    | X3 = vvar(X2)
    | X4 != X5
    | X6 != X1
    | X7 != vvar(X2)
    | X3 != vsubst(X6,X4,X7) ),
    i_0_112 ).

cnf(c_0_163,plain,
    ( X1 = vvar(X2)
    | X3 = X2
    | X1 != vsubst(X3,X4,X5)
    | X5 != vvar(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_162])]) ).

cnf(c_0_164,plain,
    vvar(X1) != vabs(X2,X3,X4),
    i_0_5 ).

cnf(c_0_165,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_166,plain,
    ( vsubst(X1,X2,X3) = vvar(X4)
    | X1 = X4
    | X3 != vvar(X4) ),
    inference(er,[status(thm)],[c_0_163]) ).

cnf(c_0_167,plain,
    ( vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) = X1
    | vvar(esk24_3(X1,X2,X3)) = X1
    | vvar(X4) != X1
    | ~ vtcheck(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_168,plain,
    vvar(X1) != vapp(X2,X3),
    i_0_6 ).

cnf(c_0_169,plain,
    ( X1 = X2
    | X3 != X1
    | X4 != X5
    | X6 != X4
    | X7 != vvar(X5)
    | X2 != vsubst(X6,X3,X7) ),
    i_0_111 ).

cnf(c_0_170,plain,
    ( vsubst(X1,X2,vvar(X3)) = vvar(X3)
    | X1 = X3 ),
    inference(er,[status(thm)],[c_0_166]) ).

cnf(c_0_171,plain,
    ( vvar(esk24_3(vvar(X1),X2,X3)) = vvar(X1)
    | ~ vtcheck(X3,vvar(X1),X2) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_167]),c_0_168]) ).

cnf(c_0_172,plain,
    ( X1 = vapp(vsubst(X2,X3,X4),vsubst(X2,X3,X5))
    | X6 != X3
    | X7 != X2
    | X8 != vapp(X4,X5)
    | X1 != vsubst(X7,X6,X8) ),
    i_0_113 ).

cnf(c_0_173,plain,
    ( X1 = X2
    | X2 != vsubst(X3,X1,X4)
    | X4 != vvar(X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_169])])]) ).

cnf(c_0_174,plain,
    ( vsubst(X1,X2,vvar(X3)) = vvar(X3)
    | X1 = esk24_3(vvar(X3),X4,X5)
    | ~ vtcheck(X5,vvar(X3),X4) ),
    inference(spm,[status(thm)],[c_0_170,c_0_171]) ).

cnf(c_0_175,negated_conjecture,
    vtcheck(esk34_0,vvar(esk35_0),esk36_0),
    i_0_147 ).

cnf(c_0_176,plain,
    ( X1 = X2
    | X3 = vlookup(X1,X4)
    | X5 != X1
    | X3 != vlookup(X5,X6)
    | X6 != vbind(X2,X7,X4) ),
    i_0_50 ).

cnf(c_0_177,plain,
    ( X1 = vapp(vsubst(X2,X3,X4),vsubst(X2,X3,X5))
    | X1 != vsubst(X2,X3,X6)
    | X6 != vapp(X4,X5) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_172])]) ).

cnf(c_0_178,plain,
    ( vsubst(X1,X2,X3) = X2
    | X3 != vvar(X1) ),
    inference(er,[status(thm)],[c_0_173]) ).

cnf(c_0_179,negated_conjecture,
    ( vsubst(X1,X2,vvar(esk35_0)) = vvar(esk35_0)
    | X1 = esk24_3(vvar(esk35_0),esk36_0,esk34_0) ),
    inference(spm,[status(thm)],[c_0_174,c_0_175]) ).

cnf(c_0_180,plain,
    ( X1 = vlookup(X2,X3)
    | X2 = X4
    | X5 != vbind(X4,X6,X3)
    | X1 != vlookup(X2,X5) ),
    inference(er,[status(thm)],[c_0_176]) ).

cnf(c_0_181,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_182,plain,
    ( vsubst(X1,X2,X3) = vapp(vsubst(X1,X2,X4),vsubst(X1,X2,X5))
    | X3 != vapp(X4,X5) ),
    inference(er,[status(thm)],[c_0_177]) ).

cnf(c_0_183,plain,
    ( X1 = esk24_3(vvar(esk35_0),esk36_0,esk34_0)
    | vvar(esk35_0) = X2
    | vvar(esk35_0) != vvar(X1) ),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_184,plain,
    ( X1 = vlookup(X2,X3)
    | X2 = X4
    | X1 != vlookup(X2,vbind(X4,X5,X3)) ),
    inference(er,[status(thm)],[c_0_180]) ).

cnf(c_0_185,plain,
    ( vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) = X1
    | vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
    | vvar(X4) != X1
    | ~ vtcheck(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_164,c_0_181]) ).

cnf(c_0_186,plain,
    vsubst(X1,X2,vapp(X3,X4)) = vapp(vsubst(X1,X2,X3),vsubst(X1,X2,X4)),
    inference(er,[status(thm)],[c_0_182]) ).

cnf(c_0_187,plain,
    ( esk24_3(vvar(esk35_0),esk36_0,esk34_0) = esk35_0
    | vvar(esk35_0) = X1 ),
    inference(er,[status(thm)],[c_0_183]) ).

cnf(c_0_188,plain,
    ( vtcheck(X1,vvar(X2),X3)
    | vlookup(X2,X1) != vsomeType(X3) ),
    i_0_145 ).

cnf(c_0_189,plain,
    ( vlookup(X1,vbind(X2,X3,X4)) = vlookup(X1,X4)
    | X1 = X2 ),
    inference(er,[status(thm)],[c_0_184]) ).

cnf(c_0_190,plain,
    ( vlookup(esk24_3(vvar(X1),X2,X3),X3) = vsomeType(X2)
    | ~ vtcheck(X3,vvar(X1),X2) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_185]),c_0_168]) ).

cnf(c_0_191,plain,
    esk24_3(vvar(esk35_0),esk36_0,esk34_0) = esk35_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_168]) ).

cnf(c_0_192,plain,
    ( X1 = X2
    | vtcheck(vbind(X2,X3,X4),vvar(X1),X5)
    | vlookup(X1,X4) != vsomeType(X5) ),
    inference(spm,[status(thm)],[c_0_188,c_0_189]) ).

cnf(c_0_193,plain,
    vsomeType(esk36_0) = vlookup(esk35_0,esk34_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_175])]) ).

cnf(c_0_194,plain,
    ( X1 = X2
    | vtcheck(vbind(X2,X3,X4),vvar(X1),esk36_0)
    | vlookup(X1,X4) != vlookup(esk35_0,esk34_0) ),
    inference(spm,[status(thm)],[c_0_192,c_0_193]) ).

cnf(c_0_195,plain,
    vsomeType(X1) != vnoType,
    i_0_4 ).

cnf(c_0_196,negated_conjecture,
    ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vvar(esk35_0),esk36_0),
    i_0_146 ).

cnf(c_0_197,plain,
    ( esk35_0 = X1
    | vtcheck(vbind(X1,X2,esk34_0),vvar(esk35_0),esk36_0) ),
    inference(er,[status(thm)],[c_0_194]) ).

cnf(c_0_198,plain,
    vlookup(esk35_0,esk34_0) != vnoType,
    inference(spm,[status(thm)],[c_0_195,c_0_193]) ).

cnf(c_0_199,negated_conjecture,
    esk35_0 = esk32_0,
    inference(spm,[status(thm)],[c_0_196,c_0_197]) ).

cnf(c_0_200,negated_conjecture,
    vlookup(esk32_0,esk34_0) = vnoType,
    i_0_148 ).

cnf(c_0_201,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_199]),c_0_200])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COM143+1 : TPTP v8.1.0. Released v6.4.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 16 18:42:19 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.46  # ENIGMATIC: Selected SinE mode:
% 0.18/0.47  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.21/2.56  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.21/2.56  # No SInE strategy applied
% 7.21/2.56  # Trying AutoSched0 for 150 seconds
% 7.21/2.56  # AutoSched0-Mode selected heuristic G_E___207_B07_F1_AE_CS_SP_PI_PS_S0Y
% 7.21/2.56  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.21/2.56  #
% 7.21/2.56  # Preprocessing time       : 0.025 s
% 7.21/2.56  # Presaturation interreduction done
% 7.21/2.56  
% 7.21/2.56  # Proof found!
% 7.21/2.56  # SZS status Theorem
% 7.21/2.56  # SZS output start CNFRefutation
% See solution above
% 7.21/2.56  # Training examples: 0 positive, 0 negative
% 7.21/2.56  
% 7.21/2.56  # -------------------------------------------------
% 7.21/2.56  # User time                : 0.092 s
% 7.21/2.56  # System time              : 0.008 s
% 7.21/2.56  # Total time               : 0.100 s
% 7.21/2.56  # Maximum resident set size: 7124 pages
% 7.21/2.56  
%------------------------------------------------------------------------------