TSTP Solution File: COM017+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : COM017+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n015.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 01:06:59 EDT 2022

% Result   : Theorem 7.63s 2.27s
% Output   : CNFRefutation 7.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   27 (  11 unt;   0 nHn;  27 RR)
%            Number of literals    :  103 (   0 equ;  81 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-4 aty)
%            Number of variables   :   48 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_31,plain,
    ( sdtmndtasgtdt0(X1,X2,esk6_4(X2,X3,X4,X1))
    | ~ aElement0(X4)
    | ~ aElement0(X3)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X2)
    | ~ isLocallyConfluent0(X2)
    | ~ aReductOfIn0(X4,X3,X2)
    | ~ aReductOfIn0(X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1fg95det/lgb.p',i_0_31) ).

cnf(i_0_3,plain,
    ( aElement0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X3)
    | ~ aReductOfIn0(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1fg95det/lgb.p',i_0_3) ).

cnf(i_0_61,negated_conjecture,
    ( ~ aElement0(X1)
    | ~ sdtmndtasgtdt0(xu,xR,X1)
    | ~ sdtmndtasgtdt0(xv,xR,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1fg95det/lgb.p',i_0_61) ).

cnf(i_0_46,hypothesis,
    isLocallyConfluent0(xR),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1fg95det/lgb.p',i_0_46) ).

cnf(i_0_44,hypothesis,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1fg95det/lgb.p',i_0_44) ).

cnf(i_0_32,plain,
    ( sdtmndtasgtdt0(X1,X2,esk6_4(X2,X3,X1,X4))
    | ~ aElement0(X4)
    | ~ aElement0(X3)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X2)
    | ~ isLocallyConfluent0(X2)
    | ~ aReductOfIn0(X4,X3,X2)
    | ~ aReductOfIn0(X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1fg95det/lgb.p',i_0_32) ).

cnf(i_0_33,plain,
    ( aElement0(esk6_4(X1,X2,X3,X4))
    | ~ aElement0(X4)
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X1)
    | ~ isLocallyConfluent0(X1)
    | ~ aReductOfIn0(X4,X2,X1)
    | ~ aReductOfIn0(X3,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1fg95det/lgb.p',i_0_33) ).

cnf(i_0_56,hypothesis,
    aReductOfIn0(xu,xa,xR),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1fg95det/lgb.p',i_0_56) ).

cnf(i_0_59,hypothesis,
    aReductOfIn0(xv,xa,xR),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1fg95det/lgb.p',i_0_59) ).

cnf(i_0_49,hypothesis,
    aElement0(xa),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1fg95det/lgb.p',i_0_49) ).

cnf(c_0_72,plain,
    ( sdtmndtasgtdt0(X1,X2,esk6_4(X2,X3,X4,X1))
    | ~ aElement0(X4)
    | ~ aElement0(X3)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X2)
    | ~ isLocallyConfluent0(X2)
    | ~ aReductOfIn0(X4,X3,X2)
    | ~ aReductOfIn0(X1,X3,X2) ),
    i_0_31 ).

cnf(c_0_73,plain,
    ( aElement0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X3)
    | ~ aReductOfIn0(X1,X2,X3) ),
    i_0_3 ).

cnf(c_0_74,negated_conjecture,
    ( ~ aElement0(X1)
    | ~ sdtmndtasgtdt0(xu,xR,X1)
    | ~ sdtmndtasgtdt0(xv,xR,X1) ),
    i_0_61 ).

cnf(c_0_75,plain,
    ( sdtmndtasgtdt0(X1,X2,esk6_4(X2,X3,X4,X1))
    | ~ isLocallyConfluent0(X2)
    | ~ aReductOfIn0(X4,X3,X2)
    | ~ aReductOfIn0(X1,X3,X2)
    | ~ aRewritingSystem0(X2)
    | ~ aElement0(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_72,c_0_73]),c_0_73]) ).

cnf(c_0_76,hypothesis,
    isLocallyConfluent0(xR),
    i_0_46 ).

cnf(c_0_77,hypothesis,
    aRewritingSystem0(xR),
    i_0_44 ).

cnf(c_0_78,plain,
    ( sdtmndtasgtdt0(X1,X2,esk6_4(X2,X3,X1,X4))
    | ~ aElement0(X4)
    | ~ aElement0(X3)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X2)
    | ~ isLocallyConfluent0(X2)
    | ~ aReductOfIn0(X4,X3,X2)
    | ~ aReductOfIn0(X1,X3,X2) ),
    i_0_32 ).

cnf(c_0_79,negated_conjecture,
    ( ~ aReductOfIn0(xu,X1,xR)
    | ~ aReductOfIn0(X2,X1,xR)
    | ~ sdtmndtasgtdt0(xv,xR,esk6_4(xR,X1,X2,xu))
    | ~ aElement0(esk6_4(xR,X1,X2,xu))
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_77])]) ).

cnf(c_0_80,plain,
    ( sdtmndtasgtdt0(X1,X2,esk6_4(X2,X3,X1,X4))
    | ~ isLocallyConfluent0(X2)
    | ~ aReductOfIn0(X4,X3,X2)
    | ~ aReductOfIn0(X1,X3,X2)
    | ~ aRewritingSystem0(X2)
    | ~ aElement0(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_78,c_0_73]),c_0_73]) ).

cnf(c_0_81,plain,
    ( aElement0(esk6_4(X1,X2,X3,X4))
    | ~ aElement0(X4)
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X1)
    | ~ isLocallyConfluent0(X1)
    | ~ aReductOfIn0(X4,X2,X1)
    | ~ aReductOfIn0(X3,X2,X1) ),
    i_0_33 ).

cnf(c_0_82,plain,
    ( ~ aReductOfIn0(xu,X1,xR)
    | ~ aReductOfIn0(xv,X1,xR)
    | ~ aElement0(esk6_4(xR,X1,xv,xu))
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_76]),c_0_77])]) ).

cnf(c_0_83,plain,
    ( aElement0(esk6_4(X1,X2,X3,X4))
    | ~ isLocallyConfluent0(X1)
    | ~ aReductOfIn0(X4,X2,X1)
    | ~ aReductOfIn0(X3,X2,X1)
    | ~ aRewritingSystem0(X1)
    | ~ aElement0(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_81,c_0_73]),c_0_73]) ).

cnf(c_0_84,plain,
    ( ~ aReductOfIn0(xu,X1,xR)
    | ~ aReductOfIn0(xv,X1,xR)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_76]),c_0_77])]) ).

cnf(c_0_85,hypothesis,
    aReductOfIn0(xu,xa,xR),
    i_0_56 ).

cnf(c_0_86,hypothesis,
    aReductOfIn0(xv,xa,xR),
    i_0_59 ).

cnf(c_0_87,hypothesis,
    aElement0(xa),
    i_0_49 ).

cnf(c_0_88,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]),c_0_87])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COM017+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 16 18:19:13 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 7.63/2.27  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.63/2.27  # No SInE strategy applied
% 7.63/2.27  # Trying AutoSched0 for 150 seconds
% 7.63/2.27  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 7.63/2.27  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.63/2.27  #
% 7.63/2.27  # Preprocessing time       : 0.024 s
% 7.63/2.27  
% 7.63/2.27  # Proof found!
% 7.63/2.27  # SZS status Theorem
% 7.63/2.27  # SZS output start CNFRefutation
% See solution above
% 7.63/2.27  # Training examples: 0 positive, 0 negative
% 7.63/2.27  
% 7.63/2.27  # -------------------------------------------------
% 7.63/2.27  # User time                : 0.032 s
% 7.63/2.27  # System time              : 0.006 s
% 7.63/2.27  # Total time               : 0.038 s
% 7.63/2.27  # Maximum resident set size: 7124 pages
% 7.63/2.27  
%------------------------------------------------------------------------------