TSTP Solution File: COM136+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : COM136+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 7.95s 2.53s
% Output   : CNFRefutation 7.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   55 (  21 unt;  19 nHn;  54 RR)
%            Number of literals    :  125 (  70 equ;  50 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    :   19 (  19 usr;   7 con; 0-3 aty)
%            Number of variables   :  178 (  57 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_10,plain,
    ( X1 = X2
    | vabs(X1,X3,X4) != vabs(X2,X5,X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sol8wrhz/lgb.p',i_0_10) ).

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-sol8wrhz/lgb.p',i_0_144) ).

cnf(i_0_9,plain,
    ( X1 = X2
    | vabs(X3,X1,X4) != vabs(X5,X2,X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sol8wrhz/lgb.p',i_0_9) ).

cnf(i_0_8,plain,
    ( X1 = X2
    | vabs(X3,X4,X1) != vabs(X5,X6,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sol8wrhz/lgb.p',i_0_8) ).

cnf(i_0_1,plain,
    vabs(X1,X2,X3) != vapp(X4,X5),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sol8wrhz/lgb.p',i_0_1) ).

cnf(i_0_5,plain,
    vvar(X1) != vabs(X2,X3,X4),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sol8wrhz/lgb.p',i_0_5) ).

cnf(i_0_146,negated_conjecture,
    vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sol8wrhz/lgb.p',i_0_146) ).

cnf(i_0_37,plain,
    ( X1 = X2
    | visFreeVar(X3,X4)
    | X2 != X3
    | X4 != vabs(X1,X5,X6)
    | ~ visFreeVar(X2,X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sol8wrhz/lgb.p',i_0_37) ).

cnf(i_0_138,plain,
    ( vvar(esk24_3(X1,X2,X3)) = X1
    | vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) = X1
    | vtcheck(vbind(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),X3),esk26_3(X1,X2,X3),esk28_3(X1,X2,X3))
    | ~ vtcheck(X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sol8wrhz/lgb.p',i_0_138) ).

cnf(i_0_126,plain,
    ( X1 = X2
    | vtcheck(vbind(X2,X3,vbind(X1,X4,X5)),X6,X7)
    | ~ vtcheck(vbind(X1,X4,vbind(X2,X3,X5)),X6,X7) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sol8wrhz/lgb.p',i_0_126) ).

cnf(i_0_147,negated_conjecture,
    ~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sol8wrhz/lgb.p',i_0_147) ).

cnf(i_0_141,plain,
    ( vvar(esk24_3(X1,X2,X3)) = X1
    | varrow(esk27_3(X1,X2,X3),esk28_3(X1,X2,X3)) = X2
    | vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) = X1
    | ~ vtcheck(X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sol8wrhz/lgb.p',i_0_141) ).

cnf(i_0_148,plain,
    ( visFreeVar(X1,veabs)
    | vtcheck(X2,veabs,X3)
    | ~ vtcheck(vbind(X1,X4,X2),veabs,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sol8wrhz/lgb.p',i_0_148) ).

cnf(i_0_123,plain,
    ( vtcheck(X1,vabs(X2,X3,X4),varrow(X3,X5))
    | ~ vtcheck(vbind(X2,X3,X1),X4,X5) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sol8wrhz/lgb.p',i_0_123) ).

cnf(i_0_145,negated_conjecture,
    ~ vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sol8wrhz/lgb.p',i_0_145) ).

cnf(i_0_125,plain,
    ( vtcheck(vbind(X1,X2,X3),X4,X5)
    | X1 != X6
    | ~ vtcheck(vbind(X1,X2,vbind(X6,X7,X3)),X4,X5) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sol8wrhz/lgb.p',i_0_125) ).

cnf(c_0_165,plain,
    ( X1 = X2
    | vabs(X1,X3,X4) != vabs(X2,X5,X6) ),
    i_0_10 ).

cnf(c_0_166,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_167,plain,
    ( X1 = X2
    | vabs(X3,X1,X4) != vabs(X5,X2,X6) ),
    i_0_9 ).

cnf(c_0_168,plain,
    ( X1 = X2
    | vabs(X3,X4,X1) != vabs(X5,X6,X2) ),
    i_0_8 ).

cnf(c_0_169,plain,
    ( vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) = X1
    | vvar(esk24_3(X1,X2,X3)) = X1
    | esk25_3(X1,X2,X3) = X4
    | X1 != vabs(X4,X5,X6)
    | ~ vtcheck(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_165,c_0_166]) ).

cnf(c_0_170,plain,
    vabs(X1,X2,X3) != vapp(X4,X5),
    i_0_1 ).

cnf(c_0_171,plain,
    vvar(X1) != vabs(X2,X3,X4),
    i_0_5 ).

cnf(c_0_172,plain,
    ( vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) = X1
    | vvar(esk24_3(X1,X2,X3)) = X1
    | esk27_3(X1,X2,X3) = X4
    | X1 != vabs(X5,X4,X6)
    | ~ vtcheck(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_167,c_0_166]) ).

cnf(c_0_173,plain,
    ( vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) = X1
    | vvar(esk24_3(X1,X2,X3)) = X1
    | esk26_3(X1,X2,X3) = X4
    | X1 != vabs(X5,X6,X4)
    | ~ vtcheck(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_168,c_0_166]) ).

cnf(c_0_174,plain,
    ( esk25_3(vabs(X1,X2,X3),X4,X5) = X1
    | ~ vtcheck(X5,vabs(X1,X2,X3),X4) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_169]),c_0_170]),c_0_171]) ).

cnf(c_0_175,negated_conjecture,
    vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0),
    i_0_146 ).

cnf(c_0_176,plain,
    ( esk27_3(vabs(X1,X2,X3),X4,X5) = X2
    | ~ vtcheck(X5,vabs(X1,X2,X3),X4) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_172]),c_0_170]),c_0_171]) ).

cnf(c_0_177,plain,
    ( esk26_3(vabs(X1,X2,X3),X4,X5) = X3
    | ~ vtcheck(X5,vabs(X1,X2,X3),X4) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_173]),c_0_170]),c_0_171]) ).

cnf(c_0_178,plain,
    ( X1 = X2
    | visFreeVar(X3,X4)
    | X2 != X3
    | X4 != vabs(X1,X5,X6)
    | ~ visFreeVar(X2,X6) ),
    i_0_37 ).

cnf(c_0_179,plain,
    ( vvar(esk24_3(X1,X2,X3)) = X1
    | vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) = X1
    | vtcheck(vbind(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),X3),esk26_3(X1,X2,X3),esk28_3(X1,X2,X3))
    | ~ vtcheck(X3,X1,X2) ),
    i_0_138 ).

cnf(c_0_180,negated_conjecture,
    esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)) = esk35_0,
    inference(spm,[status(thm)],[c_0_174,c_0_175]) ).

cnf(c_0_181,negated_conjecture,
    esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)) = esk36_0,
    inference(spm,[status(thm)],[c_0_176,c_0_175]) ).

cnf(c_0_182,negated_conjecture,
    esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)) = veabs,
    inference(spm,[status(thm)],[c_0_177,c_0_175]) ).

cnf(c_0_183,plain,
    ( X1 = X2
    | visFreeVar(X2,X3)
    | X3 != vabs(X1,X4,X5)
    | ~ visFreeVar(X2,X5) ),
    inference(er,[status(thm)],[c_0_178]) ).

cnf(c_0_184,plain,
    ( X1 = X2
    | vtcheck(vbind(X2,X3,vbind(X1,X4,X5)),X6,X7)
    | ~ vtcheck(vbind(X1,X4,vbind(X2,X3,X5)),X6,X7) ),
    i_0_126 ).

cnf(c_0_185,plain,
    vtcheck(vbind(esk35_0,esk36_0,vbind(esk32_0,esk33_0,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181]),c_0_182]),c_0_175])]),c_0_170]),c_0_171]) ).

cnf(c_0_186,negated_conjecture,
    ~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs)),
    i_0_147 ).

cnf(c_0_187,plain,
    ( X1 = X2
    | visFreeVar(X2,vabs(X1,X3,X4))
    | ~ visFreeVar(X2,X4) ),
    inference(er,[status(thm)],[c_0_183]) ).

cnf(c_0_188,plain,
    ( vvar(esk24_3(X1,X2,X3)) = X1
    | varrow(esk27_3(X1,X2,X3),esk28_3(X1,X2,X3)) = X2
    | vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) = X1
    | ~ vtcheck(X3,X1,X2) ),
    i_0_141 ).

cnf(c_0_189,plain,
    ( visFreeVar(X1,veabs)
    | vtcheck(X2,veabs,X3)
    | ~ vtcheck(vbind(X1,X4,X2),veabs,X3) ),
    i_0_148 ).

cnf(c_0_190,plain,
    ( esk32_0 = esk35_0
    | vtcheck(vbind(esk32_0,esk33_0,vbind(esk35_0,esk36_0,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))) ),
    inference(spm,[status(thm)],[c_0_184,c_0_185]) ).

cnf(c_0_191,negated_conjecture,
    ( esk32_0 = esk35_0
    | ~ visFreeVar(esk32_0,veabs) ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_192,negated_conjecture,
    varrow(esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)),esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))) = esk37_0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_175]),c_0_170]),c_0_171]) ).

cnf(c_0_193,plain,
    ( vtcheck(X1,vabs(X2,X3,X4),varrow(X3,X5))
    | ~ vtcheck(vbind(X2,X3,X1),X4,X5) ),
    i_0_123 ).

cnf(c_0_194,plain,
    ( esk32_0 = esk35_0
    | vtcheck(vbind(esk35_0,esk36_0,esk34_0),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191]) ).

cnf(c_0_195,negated_conjecture,
    varrow(esk36_0,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))) = esk37_0,
    inference(rw,[status(thm)],[c_0_192,c_0_181]) ).

cnf(c_0_196,negated_conjecture,
    ~ vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0),
    i_0_145 ).

cnf(c_0_197,plain,
    ( vtcheck(vbind(X1,X2,X3),X4,X5)
    | X1 != X6
    | ~ vtcheck(vbind(X1,X2,vbind(X6,X7,X3)),X4,X5) ),
    i_0_125 ).

cnf(c_0_198,plain,
    esk32_0 = esk35_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_195]),c_0_196]) ).

cnf(c_0_199,plain,
    ( vtcheck(vbind(X1,X2,X3),X4,X5)
    | ~ vtcheck(vbind(X1,X2,vbind(X1,X6,X3)),X4,X5) ),
    inference(er,[status(thm)],[c_0_197]) ).

cnf(c_0_200,plain,
    vtcheck(vbind(esk35_0,esk36_0,vbind(esk35_0,esk33_0,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk35_0,esk33_0,esk34_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_198]),c_0_198]) ).

cnf(c_0_201,plain,
    vtcheck(vbind(esk35_0,esk36_0,esk34_0),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk35_0,esk33_0,esk34_0))),
    inference(spm,[status(thm)],[c_0_199,c_0_200]) ).

cnf(c_0_202,negated_conjecture,
    varrow(esk36_0,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk35_0,esk33_0,esk34_0))) = esk37_0,
    inference(rw,[status(thm)],[c_0_195,c_0_198]) ).

cnf(c_0_203,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_201]),c_0_202]),c_0_196]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COM136+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 20:03:13 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.20/0.47  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.95/2.53  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.95/2.53  # No SInE strategy applied
% 7.95/2.53  # Trying AutoSched0 for 150 seconds
% 7.95/2.53  # AutoSched0-Mode selected heuristic G_E___107_C36_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 7.95/2.53  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.95/2.53  #
% 7.95/2.53  # Preprocessing time       : 0.026 s
% 7.95/2.53  # Presaturation interreduction done
% 7.95/2.53  
% 7.95/2.53  # Proof found!
% 7.95/2.53  # SZS status Theorem
% 7.95/2.53  # SZS output start CNFRefutation
% See solution above
% 7.95/2.53  # Training examples: 0 positive, 0 negative
% 7.95/2.53  
% 7.95/2.53  # -------------------------------------------------
% 7.95/2.53  # User time                : 0.040 s
% 7.95/2.53  # System time              : 0.006 s
% 7.95/2.53  # Total time               : 0.046 s
% 7.95/2.53  # Maximum resident set size: 7128 pages
% 7.95/2.53  
%------------------------------------------------------------------------------