TSTP Solution File: COM134+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : COM134+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n012.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 01:07:24 EDT 2022

% Result   : Theorem 8.86s 2.72s
% Output   : CNFRefutation 8.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   45 (  13 unt;   7 nHn;  43 RR)
%            Number of literals    :  113 (  51 equ;  61 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;   7 con; 0-3 aty)
%            Number of variables   :  169 (  26 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_13,plain,
    ( X1 = X2
    | vapp(X1,X3) != vapp(X2,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dvuag35d/lgb.p',i_0_13) ).

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-dvuag35d/lgb.p',i_0_144) ).

cnf(i_0_1,plain,
    vabs(X1,X2,X3) != vapp(X4,X5),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dvuag35d/lgb.p',i_0_1) ).

cnf(i_0_6,plain,
    vvar(X1) != vapp(X2,X3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dvuag35d/lgb.p',i_0_6) ).

cnf(i_0_12,plain,
    ( X1 = X2
    | vapp(X3,X1) != vapp(X4,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dvuag35d/lgb.p',i_0_12) ).

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/sandbox/tmp/enigma-theBenchmark.p-dvuag35d/lgb.p',i_0_143) ).

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-dvuag35d/lgb.p',i_0_113) ).

cnf(i_0_149,plain,
    ( vtcheck(X1,vsubst(X2,X3,ve1),X4)
    | ~ vtcheck(X1,X3,X5)
    | ~ vtcheck(vbind(X2,X5,X1),ve1,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dvuag35d/lgb.p',i_0_149) ).

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/sandbox/tmp/enigma-theBenchmark.p-dvuag35d/lgb.p',i_0_142) ).

cnf(i_0_124,plain,
    ( vtcheck(X1,vapp(X2,X3),X4)
    | ~ vtcheck(X1,X3,X5)
    | ~ vtcheck(X1,X2,varrow(X5,X4)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dvuag35d/lgb.p',i_0_124) ).

cnf(i_0_150,plain,
    ( vtcheck(X1,vsubst(X2,X3,ve2),X4)
    | ~ vtcheck(X1,X3,X5)
    | ~ vtcheck(vbind(X2,X5,X1),ve2,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dvuag35d/lgb.p',i_0_150) ).

cnf(i_0_146,negated_conjecture,
    ~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vapp(ve1,ve2)),esk36_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dvuag35d/lgb.p',i_0_146) ).

cnf(i_0_147,negated_conjecture,
    vtcheck(vbind(esk34_0,esk32_0,esk33_0),vapp(ve1,ve2),esk36_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dvuag35d/lgb.p',i_0_147) ).

cnf(i_0_148,negated_conjecture,
    vtcheck(esk33_0,esk35_0,esk32_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dvuag35d/lgb.p',i_0_148) ).

cnf(c_0_165,plain,
    ( X1 = X2
    | vapp(X1,X3) != vapp(X2,X4) ),
    i_0_13 ).

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,
    ( vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3)) = X1
    | vvar(esk24_3(X1,X2,X3)) = X1
    | esk29_3(X1,X2,X3) = X4
    | X1 != vapp(X4,X5)
    | ~ vtcheck(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_165,c_0_166]) ).

cnf(c_0_168,plain,
    vabs(X1,X2,X3) != vapp(X4,X5),
    i_0_1 ).

cnf(c_0_169,plain,
    vvar(X1) != vapp(X2,X3),
    i_0_6 ).

cnf(c_0_170,plain,
    ( esk29_3(vapp(X1,X2),X3,X4) = X1
    | ~ vtcheck(X4,vapp(X1,X2),X3) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_167]),c_0_168]),c_0_169]) ).

cnf(c_0_171,plain,
    ( X1 = X2
    | vapp(X3,X1) != vapp(X4,X2) ),
    i_0_12 ).

cnf(c_0_172,plain,
    ( vapp(X1,esk30_3(vapp(X1,X2),X3,X4)) = vapp(X1,X2)
    | ~ vtcheck(X4,vapp(X1,X2),X3) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_170]),c_0_168]),c_0_169]) ).

cnf(c_0_173,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_174,plain,
    ( esk30_3(vapp(X1,X2),X3,X4) = X5
    | vapp(X1,X2) != vapp(X6,X5)
    | ~ vtcheck(X4,vapp(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_171,c_0_172]) ).

cnf(c_0_175,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_176,plain,
    ( vtcheck(X1,vsubst(X2,X3,ve1),X4)
    | ~ vtcheck(X1,X3,X5)
    | ~ vtcheck(vbind(X2,X5,X1),ve1,X4) ),
    i_0_149 ).

cnf(c_0_177,plain,
    ( vtcheck(X1,X2,varrow(esk31_3(vapp(X2,X3),X4,X1),X4))
    | ~ vtcheck(X1,vapp(X2,X3),X4) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_170]),c_0_168]),c_0_169]) ).

cnf(c_0_178,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_179,plain,
    ( esk30_3(vapp(X1,X2),X3,X4) = X2
    | ~ vtcheck(X4,vapp(X1,X2),X3) ),
    inference(er,[status(thm)],[c_0_174]) ).

cnf(c_0_180,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_175])]) ).

cnf(c_0_181,plain,
    ( vtcheck(X1,vapp(X2,X3),X4)
    | ~ vtcheck(X1,X3,X5)
    | ~ vtcheck(X1,X2,varrow(X5,X4)) ),
    i_0_124 ).

cnf(c_0_182,plain,
    ( vtcheck(X1,vsubst(X2,X3,ve1),varrow(esk31_3(vapp(ve1,X4),X5,vbind(X2,X6,X1)),X5))
    | ~ vtcheck(vbind(X2,X6,X1),vapp(ve1,X4),X5)
    | ~ vtcheck(X1,X3,X6) ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_183,plain,
    ( vtcheck(X1,vsubst(X2,X3,ve2),X4)
    | ~ vtcheck(X1,X3,X5)
    | ~ vtcheck(vbind(X2,X5,X1),ve2,X4) ),
    i_0_150 ).

cnf(c_0_184,plain,
    ( vtcheck(X1,X2,esk31_3(vapp(X3,X2),X4,X1))
    | ~ vtcheck(X1,vapp(X3,X2),X4) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_168]),c_0_169]) ).

cnf(c_0_185,plain,
    ( vsubst(X1,X2,X3) = vapp(vsubst(X1,X2,X4),vsubst(X1,X2,X5))
    | X3 != vapp(X4,X5) ),
    inference(er,[status(thm)],[c_0_180]) ).

cnf(c_0_186,plain,
    ( vtcheck(X1,vapp(vsubst(X2,X3,ve1),X4),X5)
    | ~ vtcheck(X1,X4,esk31_3(vapp(ve1,X6),X5,vbind(X2,X7,X1)))
    | ~ vtcheck(vbind(X2,X7,X1),vapp(ve1,X6),X5)
    | ~ vtcheck(X1,X3,X7) ),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_187,plain,
    ( vtcheck(X1,vsubst(X2,X3,ve2),esk31_3(vapp(X4,ve2),X5,vbind(X2,X6,X1)))
    | ~ vtcheck(vbind(X2,X6,X1),vapp(X4,ve2),X5)
    | ~ vtcheck(X1,X3,X6) ),
    inference(spm,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_188,negated_conjecture,
    ~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vapp(ve1,ve2)),esk36_0),
    i_0_146 ).

cnf(c_0_189,plain,
    vsubst(X1,X2,vapp(X3,X4)) = vapp(vsubst(X1,X2,X3),vsubst(X1,X2,X4)),
    inference(er,[status(thm)],[c_0_185]) ).

cnf(c_0_190,plain,
    ( vtcheck(X1,vapp(vsubst(X2,X3,ve1),vsubst(X2,X4,ve2)),X5)
    | ~ vtcheck(vbind(X2,X6,X1),vapp(ve1,ve2),X5)
    | ~ vtcheck(X1,X3,X6)
    | ~ vtcheck(X1,X4,X6) ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_191,negated_conjecture,
    vtcheck(vbind(esk34_0,esk32_0,esk33_0),vapp(ve1,ve2),esk36_0),
    i_0_147 ).

cnf(c_0_192,negated_conjecture,
    ~ vtcheck(esk33_0,vapp(vsubst(esk34_0,esk35_0,ve1),vsubst(esk34_0,esk35_0,ve2)),esk36_0),
    inference(rw,[status(thm)],[c_0_188,c_0_189]) ).

cnf(c_0_193,negated_conjecture,
    ( vtcheck(esk33_0,vapp(vsubst(esk34_0,X1,ve1),vsubst(esk34_0,X2,ve2)),esk36_0)
    | ~ vtcheck(esk33_0,X1,esk32_0)
    | ~ vtcheck(esk33_0,X2,esk32_0) ),
    inference(spm,[status(thm)],[c_0_190,c_0_191]) ).

cnf(c_0_194,negated_conjecture,
    vtcheck(esk33_0,esk35_0,esk32_0),
    i_0_148 ).

cnf(c_0_195,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : COM134+1 : TPTP v8.1.0. Released v6.4.0.
% 0.03/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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 17:21:25 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # 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
% 8.86/2.72  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.86/2.72  # No SInE strategy applied
% 8.86/2.72  # Trying AutoSched0 for 150 seconds
% 8.86/2.72  # AutoSched0-Mode selected heuristic G_E___207_B07_F1_AE_CS_SP_PI_PS_S0Y
% 8.86/2.72  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.86/2.72  #
% 8.86/2.72  # Preprocessing time       : 0.014 s
% 8.86/2.72  # Presaturation interreduction done
% 8.86/2.72  
% 8.86/2.72  # Proof found!
% 8.86/2.72  # SZS status Theorem
% 8.86/2.72  # SZS output start CNFRefutation
% See solution above
% 8.86/2.72  # Training examples: 0 positive, 0 negative
% 8.86/2.72  
% 8.86/2.72  # -------------------------------------------------
% 8.86/2.72  # User time                : 0.125 s
% 8.86/2.72  # System time              : 0.006 s
% 8.86/2.72  # Total time               : 0.131 s
% 8.86/2.72  # Maximum resident set size: 7128 pages
% 8.86/2.72  
%------------------------------------------------------------------------------