↑ Up

Enigma---0.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : COM020+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 01:07:00 EDT 2022

% Result   : Theorem 8.96s 2.66s
% Output   : CNFRefutation 8.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   51 (  25 unt;   0 nHn;  51 RR)
%            Number of literals    :  161 (   0 equ; 116 neg)
%            Maximal clause size   :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-3 aty)
%            Number of variables   :   69 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_42,plain,
    ( aElement0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X3)
    | ~ aNormalFormOfIn0(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gp7vcgyp/lgb.p',i_0_42) ).

cnf(i_0_64,hypothesis,
    aNormalFormOfIn0(xd,xw,xR),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gp7vcgyp/lgb.p',i_0_64) ).

cnf(i_0_44,hypothesis,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gp7vcgyp/lgb.p',i_0_44) ).

cnf(i_0_63,hypothesis,
    aElement0(xw),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gp7vcgyp/lgb.p',i_0_63) ).

cnf(i_0_65,negated_conjecture,
    ( ~ aElement0(X1)
    | ~ sdtmndtasgtdt0(xb,xR,X1)
    | ~ sdtmndtasgtdt0(xd,xR,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gp7vcgyp/lgb.p',i_0_65) ).

cnf(i_0_50,hypothesis,
    ( sdtmndtasgtdt0(X1,xR,esk14_3(X2,X3,X1))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ iLess0(X2,xa)
    | ~ sdtmndtasgtdt0(X2,xR,X3)
    | ~ sdtmndtasgtdt0(X2,xR,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gp7vcgyp/lgb.p',i_0_50) ).

cnf(i_0_7,plain,
    ( sdtmndtplgtdt0(X1,X2,X3)
    | ~ aElement0(X1)
    | ~ aElement0(X3)
    | ~ aRewritingSystem0(X2)
    | ~ aReductOfIn0(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gp7vcgyp/lgb.p',i_0_7) ).

cnf(i_0_3,plain,
    ( aElement0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X3)
    | ~ aReductOfIn0(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gp7vcgyp/lgb.p',i_0_3) ).

cnf(i_0_51,hypothesis,
    ( sdtmndtasgtdt0(X1,xR,esk14_3(X2,X1,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ iLess0(X2,xa)
    | ~ sdtmndtasgtdt0(X2,xR,X3)
    | ~ sdtmndtasgtdt0(X2,xR,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gp7vcgyp/lgb.p',i_0_51) ).

cnf(i_0_48,hypothesis,
    aElement0(xb),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gp7vcgyp/lgb.p',i_0_48) ).

cnf(i_0_38,plain,
    ( iLess0(X1,X2)
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X3)
    | ~ isTerminating0(X3)
    | ~ sdtmndtplgtdt0(X2,X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gp7vcgyp/lgb.p',i_0_38) ).

cnf(i_0_52,hypothesis,
    ( aElement0(esk14_3(X1,X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ iLess0(X1,xa)
    | ~ sdtmndtasgtdt0(X1,xR,X3)
    | ~ sdtmndtasgtdt0(X1,xR,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gp7vcgyp/lgb.p',i_0_52) ).

cnf(i_0_56,hypothesis,
    aReductOfIn0(xu,xa,xR),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gp7vcgyp/lgb.p',i_0_56) ).

cnf(i_0_45,hypothesis,
    isTerminating0(xR),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gp7vcgyp/lgb.p',i_0_45) ).

cnf(i_0_49,hypothesis,
    aElement0(xa),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gp7vcgyp/lgb.p',i_0_49) ).

cnf(i_0_41,plain,
    ( sdtmndtasgtdt0(X1,X2,X3)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X2)
    | ~ aNormalFormOfIn0(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gp7vcgyp/lgb.p',i_0_41) ).

cnf(i_0_55,hypothesis,
    sdtmndtasgtdt0(xu,xR,xb),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gp7vcgyp/lgb.p',i_0_55) ).

cnf(i_0_57,hypothesis,
    aElement0(xu),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gp7vcgyp/lgb.p',i_0_57) ).

cnf(i_0_15,plain,
    ( sdtmndtasgtdt0(X1,X2,X3)
    | ~ aElement0(X3)
    | ~ aElement0(X4)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X2)
    | ~ sdtmndtasgtdt0(X4,X2,X3)
    | ~ sdtmndtasgtdt0(X1,X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gp7vcgyp/lgb.p',i_0_15) ).

cnf(i_0_62,hypothesis,
    sdtmndtasgtdt0(xu,xR,xw),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gp7vcgyp/lgb.p',i_0_62) ).

cnf(c_0_86,plain,
    ( aElement0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X3)
    | ~ aNormalFormOfIn0(X1,X2,X3) ),
    i_0_42 ).

cnf(c_0_87,hypothesis,
    aNormalFormOfIn0(xd,xw,xR),
    i_0_64 ).

cnf(c_0_88,hypothesis,
    aRewritingSystem0(xR),
    i_0_44 ).

cnf(c_0_89,hypothesis,
    aElement0(xw),
    i_0_63 ).

cnf(c_0_90,negated_conjecture,
    ( ~ aElement0(X1)
    | ~ sdtmndtasgtdt0(xb,xR,X1)
    | ~ sdtmndtasgtdt0(xd,xR,X1) ),
    i_0_65 ).

cnf(c_0_91,hypothesis,
    ( sdtmndtasgtdt0(X1,xR,esk14_3(X2,X3,X1))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ iLess0(X2,xa)
    | ~ sdtmndtasgtdt0(X2,xR,X3)
    | ~ sdtmndtasgtdt0(X2,xR,X1) ),
    i_0_50 ).

cnf(c_0_92,plain,
    aElement0(xd),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]),c_0_89])]) ).

cnf(c_0_93,plain,
    ( sdtmndtplgtdt0(X1,X2,X3)
    | ~ aElement0(X1)
    | ~ aElement0(X3)
    | ~ aRewritingSystem0(X2)
    | ~ aReductOfIn0(X3,X1,X2) ),
    i_0_7 ).

cnf(c_0_94,plain,
    ( aElement0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X3)
    | ~ aReductOfIn0(X1,X2,X3) ),
    i_0_3 ).

cnf(c_0_95,negated_conjecture,
    ( ~ iLess0(X1,xa)
    | ~ sdtmndtasgtdt0(xb,xR,esk14_3(X1,X2,xd))
    | ~ sdtmndtasgtdt0(X1,xR,xd)
    | ~ sdtmndtasgtdt0(X1,xR,X2)
    | ~ aElement0(esk14_3(X1,X2,xd))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]) ).

cnf(c_0_96,hypothesis,
    ( sdtmndtasgtdt0(X1,xR,esk14_3(X2,X1,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ iLess0(X2,xa)
    | ~ sdtmndtasgtdt0(X2,xR,X3)
    | ~ sdtmndtasgtdt0(X2,xR,X1) ),
    i_0_51 ).

cnf(c_0_97,hypothesis,
    aElement0(xb),
    i_0_48 ).

cnf(c_0_98,plain,
    ( iLess0(X1,X2)
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X3)
    | ~ isTerminating0(X3)
    | ~ sdtmndtplgtdt0(X2,X3,X1) ),
    i_0_38 ).

cnf(c_0_99,plain,
    ( sdtmndtplgtdt0(X1,X2,X3)
    | ~ aReductOfIn0(X3,X1,X2)
    | ~ aRewritingSystem0(X2)
    | ~ aElement0(X1) ),
    inference(csr,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_100,hypothesis,
    ( ~ iLess0(X1,xa)
    | ~ sdtmndtasgtdt0(X1,xR,xd)
    | ~ sdtmndtasgtdt0(X1,xR,xb)
    | ~ aElement0(esk14_3(X1,xb,xd))
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]),c_0_92])]) ).

cnf(c_0_101,hypothesis,
    ( aElement0(esk14_3(X1,X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ iLess0(X1,xa)
    | ~ sdtmndtasgtdt0(X1,xR,X3)
    | ~ sdtmndtasgtdt0(X1,xR,X2) ),
    i_0_52 ).

cnf(c_0_102,plain,
    ( iLess0(X1,X2)
    | ~ isTerminating0(X3)
    | ~ aReductOfIn0(X1,X2,X3)
    | ~ aRewritingSystem0(X3)
    | ~ aElement0(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_94]) ).

cnf(c_0_103,hypothesis,
    aReductOfIn0(xu,xa,xR),
    i_0_56 ).

cnf(c_0_104,hypothesis,
    isTerminating0(xR),
    i_0_45 ).

cnf(c_0_105,hypothesis,
    aElement0(xa),
    i_0_49 ).

cnf(c_0_106,plain,
    ( sdtmndtasgtdt0(X1,X2,X3)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X2)
    | ~ aNormalFormOfIn0(X3,X1,X2) ),
    i_0_41 ).

cnf(c_0_107,hypothesis,
    ( ~ iLess0(X1,xa)
    | ~ sdtmndtasgtdt0(X1,xR,xd)
    | ~ sdtmndtasgtdt0(X1,xR,xb)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_92]),c_0_97])]) ).

cnf(c_0_108,hypothesis,
    iLess0(xu,xa),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]),c_0_88]),c_0_105])]) ).

cnf(c_0_109,hypothesis,
    sdtmndtasgtdt0(xu,xR,xb),
    i_0_55 ).

cnf(c_0_110,hypothesis,
    aElement0(xu),
    i_0_57 ).

cnf(c_0_111,plain,
    ( sdtmndtasgtdt0(X1,X2,X3)
    | ~ aElement0(X3)
    | ~ aElement0(X4)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X2)
    | ~ sdtmndtasgtdt0(X4,X2,X3)
    | ~ sdtmndtasgtdt0(X1,X2,X4) ),
    i_0_15 ).

cnf(c_0_112,hypothesis,
    sdtmndtasgtdt0(xw,xR,xd),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_87]),c_0_88]),c_0_89])]) ).

cnf(c_0_113,hypothesis,
    ~ sdtmndtasgtdt0(xu,xR,xd),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]),c_0_110])]) ).

cnf(c_0_114,plain,
    ( sdtmndtasgtdt0(X1,xR,xd)
    | ~ sdtmndtasgtdt0(X1,xR,xw)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_88]),c_0_89]),c_0_92])]) ).

cnf(c_0_115,hypothesis,
    sdtmndtasgtdt0(xu,xR,xw),
    i_0_62 ).

cnf(c_0_116,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]),c_0_110])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : COM020+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.15/0.36  % Computer : n023.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Thu Jun 16 20:09:51 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.48  # ENIGMATIC: Selected complete mode:
% 8.96/2.66  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.96/2.66  # No SInE strategy applied
% 8.96/2.66  # Trying AutoSched0 for 150 seconds
% 8.96/2.66  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 8.96/2.66  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.96/2.66  #
% 8.96/2.66  # Preprocessing time       : 0.026 s
% 8.96/2.66  
% 8.96/2.66  # Proof found!
% 8.96/2.66  # SZS status Theorem
% 8.96/2.66  # SZS output start CNFRefutation
% See solution above
% 8.96/2.66  # Training examples: 0 positive, 0 negative
% 8.96/2.66  
% 8.96/2.66  # -------------------------------------------------
% 8.96/2.66  # User time                : 0.040 s
% 8.96/2.66  # System time              : 0.007 s
% 8.96/2.66  # Total time               : 0.047 s
% 8.96/2.66  # Maximum resident set size: 7124 pages
% 8.96/2.66  
%------------------------------------------------------------------------------