TSTP Solution File: COM126+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : COM126+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 01:07:22 EDT 2022

% Result   : Theorem 7.29s 2.38s
% Output   : CNFRefutation 7.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   49 (  20 unt;  13 nHn;  41 RR)
%            Number of literals    :  112 (  44 equ;  52 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    :   18 (  18 usr;   6 con; 0-3 aty)
%            Number of variables   :  127 (  40 sgn)

% Comments : 
%------------------------------------------------------------------------------
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-1x8tje8b/lgb.p',i_0_144) ).

cnf(i_0_149,negated_conjecture,
    vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1x8tje8b/lgb.p',i_0_149) ).

cnf(i_0_1,plain,
    vabs(X1,X2,X3) != vapp(X4,X5),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1x8tje8b/lgb.p',i_0_1) ).

cnf(i_0_6,plain,
    vvar(X1) != vapp(X2,X3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1x8tje8b/lgb.p',i_0_6) ).

cnf(i_0_13,plain,
    ( X1 = X2
    | vapp(X1,X3) != vapp(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1x8tje8b/lgb.p',i_0_13) ).

cnf(i_0_12,plain,
    ( X1 = X2
    | vapp(X3,X1) != vapp(X4,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1x8tje8b/lgb.p',i_0_12) ).

cnf(i_0_124,plain,
    ( vtcheck(X1,vapp(X2,X3),X4)
    | ~ vtcheck(X1,X3,X5)
    | ~ vtcheck(X1,X2,varrow(X5,X4)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1x8tje8b/lgb.p',i_0_124) ).

cnf(i_0_151,plain,
    ( visFreeVar(X1,ve1app)
    | vtcheck(vbind(X1,X2,X3),ve1app,X4)
    | ~ vtcheck(X3,ve1app,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1x8tje8b/lgb.p',i_0_151) ).

cnf(i_0_142,plain,
    ( vvar(esk24_3(X1,X2,X3)) = X1
    | vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3)) = X1
    | vtcheck(X3,esk30_3(X1,X2,X3),esk31_3(X1,X2,X3))
    | ~ vtcheck(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1x8tje8b/lgb.p',i_0_142) ).

cnf(i_0_40,plain,
    ( visFreeVar(X1,X2)
    | X3 != X1
    | X2 != vapp(X4,X5)
    | ~ visFreeVar(X3,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1x8tje8b/lgb.p',i_0_40) ).

cnf(i_0_39,plain,
    ( visFreeVar(X1,X2)
    | X3 != X1
    | X2 != vapp(X4,X5)
    | ~ visFreeVar(X3,X5) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1x8tje8b/lgb.p',i_0_39) ).

cnf(i_0_152,plain,
    ( visFreeVar(X1,ve2app)
    | vtcheck(vbind(X1,X2,X3),ve2app,X4)
    | ~ vtcheck(X3,ve2app,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1x8tje8b/lgb.p',i_0_152) ).

cnf(i_0_143,plain,
    ( vvar(esk24_3(X1,X2,X3)) = X1
    | vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3)) = X1
    | vtcheck(X3,esk29_3(X1,X2,X3),varrow(esk31_3(X1,X2,X3),X2))
    | ~ vtcheck(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1x8tje8b/lgb.p',i_0_143) ).

cnf(i_0_150,negated_conjecture,
    ~ visFreeVar(esk32_0,vapp(ve1app,ve2app)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1x8tje8b/lgb.p',i_0_150) ).

cnf(i_0_148,negated_conjecture,
    ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1x8tje8b/lgb.p',i_0_148) ).

cnf(c_0_168,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_169,negated_conjecture,
    vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0),
    i_0_149 ).

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

cnf(c_0_171,plain,
    vvar(X1) != vapp(X2,X3),
    i_0_6 ).

cnf(c_0_172,plain,
    ( X1 = X2
    | vapp(X1,X3) != vapp(X2,X4) ),
    i_0_13 ).

cnf(c_0_173,negated_conjecture,
    vapp(esk29_3(vapp(ve1app,ve2app),esk35_0,esk34_0),esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0)) = vapp(ve1app,ve2app),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]),c_0_171]) ).

cnf(c_0_174,plain,
    ( esk29_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = X1
    | vapp(ve1app,ve2app) != vapp(X1,X2) ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_175,plain,
    esk29_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = ve1app,
    inference(er,[status(thm)],[c_0_174]) ).

cnf(c_0_176,plain,
    ( X1 = X2
    | vapp(X3,X1) != vapp(X4,X2) ),
    i_0_12 ).

cnf(c_0_177,negated_conjecture,
    vapp(ve1app,esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0)) = vapp(ve1app,ve2app),
    inference(rw,[status(thm)],[c_0_173,c_0_175]) ).

cnf(c_0_178,plain,
    ( vtcheck(X1,vapp(X2,X3),X4)
    | ~ vtcheck(X1,X3,X5)
    | ~ vtcheck(X1,X2,varrow(X5,X4)) ),
    i_0_124 ).

cnf(c_0_179,plain,
    ( visFreeVar(X1,ve1app)
    | vtcheck(vbind(X1,X2,X3),ve1app,X4)
    | ~ vtcheck(X3,ve1app,X4) ),
    i_0_151 ).

cnf(c_0_180,plain,
    ( vvar(esk24_3(X1,X2,X3)) = X1
    | vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3)) = X1
    | vtcheck(X3,esk30_3(X1,X2,X3),esk31_3(X1,X2,X3))
    | ~ vtcheck(X3,X1,X2) ),
    i_0_142 ).

cnf(c_0_181,plain,
    ( esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = X1
    | vapp(ve1app,ve2app) != vapp(X2,X1) ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_182,plain,
    ( visFreeVar(X1,X2)
    | X3 != X1
    | X2 != vapp(X4,X5)
    | ~ visFreeVar(X3,X4) ),
    i_0_40 ).

cnf(c_0_183,plain,
    ( visFreeVar(X1,X2)
    | X3 != X1
    | X2 != vapp(X4,X5)
    | ~ visFreeVar(X3,X5) ),
    i_0_39 ).

cnf(c_0_184,plain,
    ( visFreeVar(X1,ve1app)
    | vtcheck(vbind(X1,X2,X3),vapp(ve1app,X4),X5)
    | ~ vtcheck(vbind(X1,X2,X3),X4,X6)
    | ~ vtcheck(X3,ve1app,varrow(X6,X5)) ),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_185,plain,
    ( visFreeVar(X1,ve2app)
    | vtcheck(vbind(X1,X2,X3),ve2app,X4)
    | ~ vtcheck(X3,ve2app,X4) ),
    i_0_152 ).

cnf(c_0_186,plain,
    ( vvar(esk24_3(X1,X2,X3)) = X1
    | vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3)) = X1
    | vtcheck(X3,esk29_3(X1,X2,X3),varrow(esk31_3(X1,X2,X3),X2))
    | ~ vtcheck(X3,X1,X2) ),
    i_0_143 ).

cnf(c_0_187,negated_conjecture,
    vtcheck(esk34_0,esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0),esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_169]),c_0_170]),c_0_171]) ).

cnf(c_0_188,plain,
    esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = ve2app,
    inference(er,[status(thm)],[c_0_181]) ).

cnf(c_0_189,plain,
    ( visFreeVar(X1,X2)
    | X2 != vapp(X3,X4)
    | ~ visFreeVar(X1,X3) ),
    inference(er,[status(thm)],[c_0_182]) ).

cnf(c_0_190,plain,
    ( visFreeVar(X1,X2)
    | X2 != vapp(X3,X4)
    | ~ visFreeVar(X1,X4) ),
    inference(er,[status(thm)],[c_0_183]) ).

cnf(c_0_191,plain,
    ( visFreeVar(X1,ve2app)
    | visFreeVar(X1,ve1app)
    | vtcheck(vbind(X1,X2,X3),vapp(ve1app,ve2app),X4)
    | ~ vtcheck(X3,ve1app,varrow(X5,X4))
    | ~ vtcheck(X3,ve2app,X5) ),
    inference(spm,[status(thm)],[c_0_184,c_0_185]) ).

cnf(c_0_192,negated_conjecture,
    vtcheck(esk34_0,ve1app,varrow(esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0),esk35_0)),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_169]),c_0_170]),c_0_171]),c_0_175]) ).

cnf(c_0_193,negated_conjecture,
    vtcheck(esk34_0,ve2app,esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0)),
    inference(rw,[status(thm)],[c_0_187,c_0_188]) ).

cnf(c_0_194,negated_conjecture,
    ~ visFreeVar(esk32_0,vapp(ve1app,ve2app)),
    i_0_150 ).

cnf(c_0_195,plain,
    ( visFreeVar(X1,vapp(X2,X3))
    | ~ visFreeVar(X1,X2) ),
    inference(er,[status(thm)],[c_0_189]) ).

cnf(c_0_196,plain,
    ( visFreeVar(X1,vapp(X2,X3))
    | ~ visFreeVar(X1,X3) ),
    inference(er,[status(thm)],[c_0_190]) ).

cnf(c_0_197,negated_conjecture,
    ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0),
    i_0_148 ).

cnf(c_0_198,negated_conjecture,
    ( visFreeVar(X1,ve1app)
    | visFreeVar(X1,ve2app)
    | vtcheck(vbind(X1,X2,esk34_0),vapp(ve1app,ve2app),esk35_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193])]) ).

cnf(c_0_199,negated_conjecture,
    ~ visFreeVar(esk32_0,ve1app),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_200,negated_conjecture,
    ~ visFreeVar(esk32_0,ve2app),
    inference(spm,[status(thm)],[c_0_194,c_0_196]) ).

cnf(c_0_201,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_199]),c_0_200]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : COM126+1 : TPTP v8.1.0. Released v6.4.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n007.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jun 16 17:15:58 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.20/0.47  # Parsing /export/starexec/sandbox2/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
% 7.29/2.38  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.29/2.38  # No SInE strategy applied
% 7.29/2.38  # Trying AutoSched0 for 150 seconds
% 7.29/2.38  # AutoSched0-Mode selected heuristic G_E___107_C36_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 7.29/2.38  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.29/2.38  #
% 7.29/2.38  # Preprocessing time       : 0.024 s
% 7.29/2.38  # Presaturation interreduction done
% 7.29/2.38  
% 7.29/2.38  # Proof found!
% 7.29/2.38  # SZS status Theorem
% 7.29/2.38  # SZS output start CNFRefutation
% See solution above
% 7.29/2.38  # Training examples: 0 positive, 0 negative
% 7.29/2.38  
% 7.29/2.38  # -------------------------------------------------
% 7.29/2.38  # User time                : 0.029 s
% 7.29/2.38  # System time              : 0.008 s
% 7.29/2.38  # Total time               : 0.037 s
% 7.29/2.38  # Maximum resident set size: 7124 pages
% 7.29/2.38  
%------------------------------------------------------------------------------