TSTP Solution File: COM124+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : COM124+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 01:07:21 EDT 2022

% Result   : Theorem 19.58s 3.84s
% Output   : CNFRefutation 19.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   47 (  17 unt;  14 nHn;  29 RR)
%            Number of literals    :  105 (  26 equ;  47 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-3 aty)
%            Number of variables   :  119 (  16 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_6,plain,
    ( vtcheck(X1,X2,X3)
    | ~ valphaEquivalent(X4,X2)
    | ~ vtcheck(X1,X4,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qo98ujno/input.p',i_0_6) ).

cnf(i_0_3,plain,
    ( visFreeVar(X1,X2)
    | valphaEquivalent(vabs(X3,X4,X2),vabs(X1,X4,vsubst(X3,vvar(X1),X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qo98ujno/input.p',i_0_3) ).

cnf(i_0_4,plain,
    ( valphaEquivalent(X1,X2)
    | ~ valphaEquivalent(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qo98ujno/input.p',i_0_4) ).

cnf(i_0_156,negated_conjecture,
    vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qo98ujno/input.p',i_0_156) ).

cnf(i_0_154,plain,
    ( X1 = X2
    | visFreeVar(X1,vabs(X2,X3,X4))
    | vtcheck(vbind(X1,X5,X6),vabs(X2,X3,X4),X7)
    | ~ vtcheck(X6,vabs(X2,X3,X4),X7) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qo98ujno/input.p',i_0_154) ).

cnf(i_0_155,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-qo98ujno/input.p',i_0_155) ).

cnf(i_0_158,negated_conjecture,
    esk35_0 = esk32_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qo98ujno/input.p',i_0_158) ).

cnf(i_0_1,plain,
    ( visFreeVar(X1,X2)
    | ~ visFreeVar(X1,X3)
    | ~ valphaEquivalent(X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qo98ujno/input.p',i_0_1) ).

cnf(i_0_157,negated_conjecture,
    ~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qo98ujno/input.p',i_0_157) ).

cnf(i_0_46,plain,
    ( visFreeVar(X1,X2)
    | X3 != X1
    | X2 != vapp(X4,X5)
    | ~ visFreeVar(X3,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qo98ujno/input.p',i_0_46) ).

cnf(i_0_36,plain,
    ( vgensym(X1) != X2
    | ~ visFreeVar(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qo98ujno/input.p',i_0_36) ).

cnf(i_0_45,plain,
    ( visFreeVar(X1,X2)
    | X3 != X1
    | X2 != vapp(X4,X5)
    | ~ visFreeVar(X3,X5) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qo98ujno/input.p',i_0_45) ).

cnf(i_0_40,plain,
    ( visFreeVar(X1,X2)
    | X3 != X1
    | X4 != X3
    | X2 != vvar(X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qo98ujno/input.p',i_0_40) ).

cnf(c_0_172,plain,
    ( vtcheck(X1,X2,X3)
    | ~ valphaEquivalent(X4,X2)
    | ~ vtcheck(X1,X4,X3) ),
    i_0_6 ).

cnf(c_0_173,plain,
    ( visFreeVar(X1,X2)
    | valphaEquivalent(vabs(X3,X4,X2),vabs(X1,X4,vsubst(X3,vvar(X1),X2))) ),
    i_0_3 ).

cnf(c_0_174,plain,
    ( valphaEquivalent(X1,X2)
    | ~ valphaEquivalent(X2,X1) ),
    i_0_4 ).

cnf(c_0_175,plain,
    ( visFreeVar(X1,X2)
    | vtcheck(X3,vabs(X1,X4,vsubst(X5,vvar(X1),X2)),X6)
    | ~ vtcheck(X3,vabs(X5,X4,X2),X6) ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_176,negated_conjecture,
    vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0),
    i_0_156 ).

cnf(c_0_177,plain,
    ( visFreeVar(X1,X2)
    | valphaEquivalent(vabs(X1,X3,vsubst(X4,vvar(X1),X2)),vabs(X4,X3,X2)) ),
    inference(spm,[status(thm)],[c_0_174,c_0_173]) ).

cnf(c_0_178,plain,
    ( X1 = X2
    | visFreeVar(X1,vabs(X2,X3,X4))
    | vtcheck(vbind(X1,X5,X6),vabs(X2,X3,X4),X7)
    | ~ vtcheck(X6,vabs(X2,X3,X4),X7) ),
    i_0_154 ).

cnf(c_0_179,negated_conjecture,
    ( visFreeVar(X1,veabs)
    | vtcheck(esk34_0,vabs(X1,esk36_0,vsubst(esk35_0,vvar(X1),veabs)),esk37_0) ),
    inference(spm,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_180,negated_conjecture,
    ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0),
    i_0_155 ).

cnf(c_0_181,negated_conjecture,
    esk35_0 = esk32_0,
    i_0_158 ).

cnf(c_0_182,plain,
    ( visFreeVar(X1,X2)
    | vtcheck(X3,vabs(X4,X5,X2),X6)
    | ~ vtcheck(X3,vabs(X1,X5,vsubst(X4,vvar(X1),X2)),X6) ),
    inference(spm,[status(thm)],[c_0_172,c_0_177]) ).

cnf(c_0_183,plain,
    ( X1 = X2
    | visFreeVar(X1,vabs(X2,esk36_0,vsubst(esk35_0,vvar(X2),veabs)))
    | visFreeVar(X2,veabs)
    | vtcheck(vbind(X1,X3,esk34_0),vabs(X2,esk36_0,vsubst(esk35_0,vvar(X2),veabs)),esk37_0) ),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_184,plain,
    ( visFreeVar(X1,X2)
    | ~ visFreeVar(X1,X3)
    | ~ valphaEquivalent(X2,X3) ),
    i_0_1 ).

cnf(c_0_185,negated_conjecture,
    ~ vtcheck(vbind(esk35_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0),
    inference(rw,[status(thm)],[c_0_180,c_0_181]) ).

cnf(c_0_186,plain,
    ( X1 = X2
    | visFreeVar(X1,vabs(X2,esk36_0,vsubst(esk35_0,vvar(X2),veabs)))
    | visFreeVar(X2,veabs)
    | vtcheck(vbind(X1,X3,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0) ),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_187,negated_conjecture,
    ~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs)),
    i_0_157 ).

cnf(c_0_188,plain,
    ( visFreeVar(X1,X2)
    | X3 != X1
    | X2 != vapp(X4,X5)
    | ~ visFreeVar(X3,X4) ),
    i_0_46 ).

cnf(c_0_189,plain,
    ( visFreeVar(X1,vabs(X2,X3,X4))
    | visFreeVar(X5,X4)
    | ~ visFreeVar(X1,vabs(X5,X3,vsubst(X2,vvar(X5),X4))) ),
    inference(spm,[status(thm)],[c_0_184,c_0_173]) ).

cnf(c_0_190,negated_conjecture,
    ( esk35_0 = X1
    | visFreeVar(esk35_0,vabs(X1,esk36_0,vsubst(esk35_0,vvar(X1),veabs)))
    | visFreeVar(X1,veabs) ),
    inference(spm,[status(thm)],[c_0_185,c_0_186]) ).

cnf(c_0_191,negated_conjecture,
    ~ visFreeVar(esk35_0,vabs(esk35_0,esk36_0,veabs)),
    inference(rw,[status(thm)],[c_0_187,c_0_181]) ).

cnf(c_0_192,plain,
    ( vgensym(X1) != X2
    | ~ visFreeVar(X2,X1) ),
    i_0_36 ).

cnf(c_0_193,plain,
    ( visFreeVar(X1,vapp(X2,X3))
    | ~ visFreeVar(X1,X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_188])]) ).

cnf(c_0_194,plain,
    ( esk35_0 = X1
    | visFreeVar(X1,veabs) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191]) ).

cnf(c_0_195,plain,
    ( visFreeVar(X1,X2)
    | X3 != X1
    | X2 != vapp(X4,X5)
    | ~ visFreeVar(X3,X5) ),
    i_0_45 ).

cnf(c_0_196,plain,
    ( visFreeVar(X1,X2)
    | X3 != X1
    | X4 != X3
    | X2 != vvar(X4) ),
    i_0_40 ).

cnf(c_0_197,plain,
    ~ visFreeVar(vgensym(X1),X1),
    inference(er,[status(thm)],[c_0_192]) ).

cnf(c_0_198,plain,
    ( esk35_0 = X1
    | visFreeVar(X1,vapp(veabs,X2)) ),
    inference(spm,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_199,plain,
    ( visFreeVar(X1,vapp(X2,X3))
    | ~ visFreeVar(X1,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_195])]) ).

cnf(c_0_200,plain,
    visFreeVar(X1,vvar(X1)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_196])])]) ).

cnf(c_0_201,plain,
    vgensym(vapp(veabs,X1)) = esk35_0,
    inference(spm,[status(thm)],[c_0_197,c_0_198]) ).

cnf(c_0_202,plain,
    visFreeVar(X1,vapp(X2,vvar(X1))),
    inference(spm,[status(thm)],[c_0_199,c_0_200]) ).

cnf(c_0_203,plain,
    ~ visFreeVar(esk35_0,vapp(veabs,X1)),
    inference(spm,[status(thm)],[c_0_197,c_0_201]) ).

cnf(c_0_204,plain,
    visFreeVar(X1,vapp(X2,vapp(X3,vvar(X1)))),
    inference(spm,[status(thm)],[c_0_199,c_0_202]) ).

cnf(c_0_205,plain,
    $false,
    inference(spm,[status(thm)],[c_0_203,c_0_204]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : COM124+1 : TPTP v8.1.0. Released v6.4.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n017.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 18:57:28 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 19.58/3.84  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 19.58/3.84  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 48; version: 991; iters: 150)
% 19.58/3.84  # Preprocessing time       : 0.919 s
% 19.58/3.84  # Presaturation interreduction done
% 19.58/3.84  
% 19.58/3.84  # Proof found!
% 19.58/3.84  # SZS status Theorem
% 19.58/3.84  # SZS output start CNFRefutation
% See solution above
% 19.58/3.84  # Training examples: 0 positive, 0 negative
% 19.58/3.84  
% 19.58/3.84  # -------------------------------------------------
% 19.58/3.84  # User time                : 1.440 s
% 19.58/3.84  # System time              : 0.113 s
% 19.58/3.84  # Total time               : 1.553 s
% 19.58/3.84  # ...preprocessing         : 0.919 s
% 19.58/3.84  # ...main loop             : 0.634 s
% 19.58/3.84  # Maximum resident set size: 168676 pages
% 19.58/3.84  
%------------------------------------------------------------------------------