TSTP Solution File: COM021+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : COM021+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 01:07:01 EDT 2022

% Result   : Theorem 8.76s 2.45s
% Output   : CNFRefutation 8.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   27 (  18 unt;   5 nHn;  27 RR)
%            Number of literals    :   60 (   4 equ;  33 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-3 aty)
%            Number of variables   :   27 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_42,plain,
    ( aElement0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X3)
    | ~ aNormalFormOfIn0(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9cvg4g_f/lgb.p',i_0_42) ).

cnf(i_0_64,hypothesis,
    aNormalFormOfIn0(xd,xw,xR),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9cvg4g_f/lgb.p',i_0_64) ).

cnf(i_0_44,hypothesis,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9cvg4g_f/lgb.p',i_0_44) ).

cnf(i_0_63,hypothesis,
    aElement0(xw),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9cvg4g_f/lgb.p',i_0_63) ).

cnf(i_0_14,plain,
    ( X1 = X2
    | sdtmndtplgtdt0(X1,X3,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X3)
    | ~ sdtmndtasgtdt0(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9cvg4g_f/lgb.p',i_0_14) ).

cnf(i_0_65,hypothesis,
    sdtmndtasgtdt0(xd,xR,xx),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9cvg4g_f/lgb.p',i_0_65) ).

cnf(i_0_67,hypothesis,
    aElement0(xx),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9cvg4g_f/lgb.p',i_0_67) ).

cnf(i_0_40,plain,
    ( ~ aElement0(X1)
    | ~ aRewritingSystem0(X2)
    | ~ aReductOfIn0(X3,X4,X2)
    | ~ aNormalFormOfIn0(X4,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9cvg4g_f/lgb.p',i_0_40) ).

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-9cvg4g_f/lgb.p',i_0_9) ).

cnf(i_0_66,hypothesis,
    sdtmndtasgtdt0(xb,xR,xx),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9cvg4g_f/lgb.p',i_0_66) ).

cnf(i_0_68,negated_conjecture,
    ~ sdtmndtasgtdt0(xb,xR,xd),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9cvg4g_f/lgb.p',i_0_68) ).

cnf(c_0_80,plain,
    ( aElement0(X1)
    | ~ aElement0(X2)
    | ~ aRewritingSystem0(X3)
    | ~ aNormalFormOfIn0(X1,X2,X3) ),
    i_0_42 ).

cnf(c_0_81,hypothesis,
    aNormalFormOfIn0(xd,xw,xR),
    i_0_64 ).

cnf(c_0_82,hypothesis,
    aRewritingSystem0(xR),
    i_0_44 ).

cnf(c_0_83,hypothesis,
    aElement0(xw),
    i_0_63 ).

cnf(c_0_84,plain,
    ( X1 = X2
    | sdtmndtplgtdt0(X1,X3,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X3)
    | ~ sdtmndtasgtdt0(X1,X3,X2) ),
    i_0_14 ).

cnf(c_0_85,hypothesis,
    sdtmndtasgtdt0(xd,xR,xx),
    i_0_65 ).

cnf(c_0_86,hypothesis,
    aElement0(xx),
    i_0_67 ).

cnf(c_0_87,hypothesis,
    aElement0(xd),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]),c_0_83])]) ).

cnf(c_0_88,plain,
    ( ~ aElement0(X1)
    | ~ aRewritingSystem0(X2)
    | ~ aReductOfIn0(X3,X4,X2)
    | ~ aNormalFormOfIn0(X4,X1,X2) ),
    i_0_40 ).

cnf(c_0_89,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_90,hypothesis,
    ( xx = xd
    | sdtmndtplgtdt0(xd,xR,xx) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_82]),c_0_86])]),c_0_87])]) ).

cnf(c_0_91,hypothesis,
    ~ aReductOfIn0(X1,xd,xR),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_81]),c_0_82]),c_0_83])]) ).

cnf(c_0_92,hypothesis,
    sdtmndtasgtdt0(xb,xR,xx),
    i_0_66 ).

cnf(c_0_93,plain,
    xx = xd,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_82]),c_0_87]),c_0_86])]),c_0_91]),c_0_91]) ).

cnf(c_0_94,negated_conjecture,
    ~ sdtmndtasgtdt0(xb,xR,xd),
    i_0_68 ).

cnf(c_0_95,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93]),c_0_94]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : COM021+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n028.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 18:36:58 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected complete mode:
% 8.76/2.45  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.76/2.45  # No SInE strategy applied
% 8.76/2.45  # Trying AutoSched0 for 150 seconds
% 8.76/2.45  # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 8.76/2.45  # and selection function SelectNewComplexAHPNS.
% 8.76/2.45  #
% 8.76/2.45  # Preprocessing time       : 0.024 s
% 8.76/2.45  
% 8.76/2.45  # Proof found!
% 8.76/2.45  # SZS status Theorem
% 8.76/2.45  # SZS output start CNFRefutation
% See solution above
% 8.76/2.45  # Training examples: 0 positive, 0 negative
% 8.76/2.45  
% 8.76/2.45  # -------------------------------------------------
% 8.76/2.45  # User time                : 0.027 s
% 8.76/2.45  # System time              : 0.008 s
% 8.76/2.45  # Total time               : 0.034 s
% 8.76/2.45  # Maximum resident set size: 7132 pages
% 8.76/2.45  
%------------------------------------------------------------------------------