TSTP Solution File: COM016+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : COM016+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 01:06:58 EDT 2022

% Result   : Theorem 7.16s 2.23s
% Output   : CNFRefutation 7.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   33 (  14 unt;   9 nHn;  33 RR)
%            Number of literals    :   91 (   2 equ;  52 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-3 aty)
%            Number of variables   :   35 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
    ( aReductOfIn0(X1,X2,X3)
    | sdtmndtplgtdt0(esk1_3(X2,X3,X1),X3,X1)
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X3)
    | ~ sdtmndtplgtdt0(X2,X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chyz2v0y/lgb.p',i_0_8) ).

cnf(i_0_54,hypothesis,
    sdtmndtplgtdt0(xa,xR,xb),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chyz2v0y/lgb.p',i_0_54) ).

cnf(i_0_44,hypothesis,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chyz2v0y/lgb.p',i_0_44) ).

cnf(i_0_49,hypothesis,
    aElement0(xa),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chyz2v0y/lgb.p',i_0_49) ).

cnf(i_0_48,hypothesis,
    aElement0(xb),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chyz2v0y/lgb.p',i_0_48) ).

cnf(i_0_13,plain,
    ( sdtmndtasgtdt0(X1,X2,X3)
    | X1 != X3
    | ~ aElement0(X3)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chyz2v0y/lgb.p',i_0_13) ).

cnf(i_0_10,plain,
    ( aReductOfIn0(X1,X2,X3)
    | aElement0(esk1_3(X2,X3,X1))
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X3)
    | ~ sdtmndtplgtdt0(X2,X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chyz2v0y/lgb.p',i_0_10) ).

cnf(i_0_55,negated_conjecture,
    ( ~ aElement0(X1)
    | ~ aReductOfIn0(X1,xa,xR)
    | ~ sdtmndtasgtdt0(X1,xR,xb) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chyz2v0y/lgb.p',i_0_55) ).

cnf(i_0_9,plain,
    ( aReductOfIn0(X1,X2,X3)
    | aReductOfIn0(esk1_3(X2,X3,X1),X2,X3)
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X3)
    | ~ sdtmndtplgtdt0(X2,X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chyz2v0y/lgb.p',i_0_9) ).

cnf(i_0_12,plain,
    ( sdtmndtasgtdt0(X1,X2,X3)
    | ~ aElement0(X3)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X2)
    | ~ sdtmndtplgtdt0(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-chyz2v0y/lgb.p',i_0_12) ).

cnf(c_0_66,plain,
    ( aReductOfIn0(X1,X2,X3)
    | sdtmndtplgtdt0(esk1_3(X2,X3,X1),X3,X1)
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X3)
    | ~ sdtmndtplgtdt0(X2,X3,X1) ),
    i_0_8 ).

cnf(c_0_67,hypothesis,
    sdtmndtplgtdt0(xa,xR,xb),
    i_0_54 ).

cnf(c_0_68,hypothesis,
    aRewritingSystem0(xR),
    i_0_44 ).

cnf(c_0_69,hypothesis,
    aElement0(xa),
    i_0_49 ).

cnf(c_0_70,hypothesis,
    aElement0(xb),
    i_0_48 ).

cnf(c_0_71,plain,
    ( sdtmndtasgtdt0(X1,X2,X3)
    | X1 != X3
    | ~ aElement0(X3)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X2) ),
    i_0_13 ).

cnf(c_0_72,plain,
    ( aReductOfIn0(X1,X2,X3)
    | aElement0(esk1_3(X2,X3,X1))
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X3)
    | ~ sdtmndtplgtdt0(X2,X3,X1) ),
    i_0_10 ).

cnf(c_0_73,negated_conjecture,
    ( ~ aElement0(X1)
    | ~ aReductOfIn0(X1,xa,xR)
    | ~ sdtmndtasgtdt0(X1,xR,xb) ),
    i_0_55 ).

cnf(c_0_74,hypothesis,
    ( sdtmndtplgtdt0(esk1_3(xa,xR,xb),xR,xb)
    | aReductOfIn0(xb,xa,xR) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]),c_0_69]),c_0_70])]) ).

cnf(c_0_75,plain,
    ( sdtmndtasgtdt0(X1,X2,X1)
    | ~ aRewritingSystem0(X2)
    | ~ aElement0(X1) ),
    inference(er,[status(thm)],[c_0_71]) ).

cnf(c_0_76,hypothesis,
    ( aReductOfIn0(xb,xa,xR)
    | aElement0(esk1_3(xa,xR,xb)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_67]),c_0_68]),c_0_69]),c_0_70])]) ).

cnf(c_0_77,negated_conjecture,
    ( sdtmndtplgtdt0(esk1_3(xa,xR,xb),xR,xb)
    | ~ sdtmndtasgtdt0(xb,xR,xb) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_70])]) ).

cnf(c_0_78,hypothesis,
    ( sdtmndtasgtdt0(X1,xR,X1)
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_75,c_0_68]) ).

cnf(c_0_79,negated_conjecture,
    ( aElement0(esk1_3(xa,xR,xb))
    | ~ sdtmndtasgtdt0(xb,xR,xb) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_76]),c_0_70])]) ).

cnf(c_0_80,plain,
    ( aReductOfIn0(X1,X2,X3)
    | aReductOfIn0(esk1_3(X2,X3,X1),X2,X3)
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X3)
    | ~ sdtmndtplgtdt0(X2,X3,X1) ),
    i_0_9 ).

cnf(c_0_81,plain,
    ( sdtmndtasgtdt0(X1,X2,X3)
    | ~ aElement0(X3)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X2)
    | ~ sdtmndtplgtdt0(X1,X2,X3) ),
    i_0_12 ).

cnf(c_0_82,hypothesis,
    sdtmndtplgtdt0(esk1_3(xa,xR,xb),xR,xb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_70])]) ).

cnf(c_0_83,hypothesis,
    aElement0(esk1_3(xa,xR,xb)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_78]),c_0_70])]) ).

cnf(c_0_84,hypothesis,
    ( aReductOfIn0(esk1_3(xa,xR,xb),xa,xR)
    | aReductOfIn0(xb,xa,xR) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_67]),c_0_68]),c_0_69]),c_0_70])]) ).

cnf(c_0_85,plain,
    sdtmndtasgtdt0(esk1_3(xa,xR,xb),xR,xb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_68]),c_0_70]),c_0_83])]) ).

cnf(c_0_86,negated_conjecture,
    aReductOfIn0(xb,xa,xR),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_84]),c_0_85]),c_0_83])]) ).

cnf(c_0_87,negated_conjecture,
    ~ sdtmndtasgtdt0(xb,xR,xb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_86]),c_0_70])]) ).

cnf(c_0_88,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_78]),c_0_70])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : COM016+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jun 16 19:08:55 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 7.16/2.23  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.16/2.23  # No SInE strategy applied
% 7.16/2.23  # Trying AutoSched0 for 150 seconds
% 7.16/2.23  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 7.16/2.23  # and selection function SelectCQArNTNpEqFirst.
% 7.16/2.23  #
% 7.16/2.23  # Preprocessing time       : 0.024 s
% 7.16/2.23  # Presaturation interreduction done
% 7.16/2.23  
% 7.16/2.23  # Proof found!
% 7.16/2.23  # SZS status Theorem
% 7.16/2.23  # SZS output start CNFRefutation
% See solution above
% 7.16/2.23  # Training examples: 0 positive, 0 negative
% 7.16/2.23  
% 7.16/2.23  # -------------------------------------------------
% 7.16/2.23  # User time                : 0.031 s
% 7.16/2.23  # System time              : 0.004 s
% 7.16/2.23  # Total time               : 0.035 s
% 7.16/2.23  # Maximum resident set size: 7128 pages
% 7.16/2.23  
%------------------------------------------------------------------------------