TSTP Solution File: COM012+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : COM012+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 01:06:56 EDT 2022

% Result   : Theorem 8.04s 2.56s
% Output   : CNFRefutation 8.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   27 (  18 unt;   6 nHn;  27 RR)
%            Number of literals    :   48 (   9 equ;  19 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_11,plain,
    ( sdtmndtplgtdt0(X1,X2,X3)
    | ~ aElement0(X3)
    | ~ aElement0(X4)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X2)
    | ~ sdtmndtplgtdt0(X4,X2,X3)
    | ~ sdtmndtplgtdt0(X1,X2,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lqlls5yp/lgb.p',i_0_11) ).

cnf(i_0_25,negated_conjecture,
    ( xz = xy
    | sdtmndtplgtdt0(xy,xR,xz) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lqlls5yp/lgb.p',i_0_25) ).

cnf(i_0_17,hypothesis,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lqlls5yp/lgb.p',i_0_17) ).

cnf(i_0_16,hypothesis,
    aElement0(xy),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lqlls5yp/lgb.p',i_0_16) ).

cnf(i_0_15,hypothesis,
    aElement0(xz),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lqlls5yp/lgb.p',i_0_15) ).

cnf(i_0_20,negated_conjecture,
    ~ sdtmndtplgtdt0(xx,xR,xz),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lqlls5yp/lgb.p',i_0_20) ).

cnf(i_0_18,hypothesis,
    aElement0(xx),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lqlls5yp/lgb.p',i_0_18) ).

cnf(i_0_30,negated_conjecture,
    ( xx = xy
    | sdtmndtplgtdt0(xx,xR,xy) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lqlls5yp/lgb.p',i_0_30) ).

cnf(i_0_19,negated_conjecture,
    ~ sdtmndtasgtdt0(xx,xR,xz),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lqlls5yp/lgb.p',i_0_19) ).

cnf(i_0_24,negated_conjecture,
    sdtmndtasgtdt0(xy,xR,xz),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lqlls5yp/lgb.p',i_0_24) ).

cnf(i_0_29,negated_conjecture,
    sdtmndtasgtdt0(xx,xR,xy),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lqlls5yp/lgb.p',i_0_29) ).

cnf(c_0_42,plain,
    ( sdtmndtplgtdt0(X1,X2,X3)
    | ~ aElement0(X3)
    | ~ aElement0(X4)
    | ~ aElement0(X1)
    | ~ aRewritingSystem0(X2)
    | ~ sdtmndtplgtdt0(X4,X2,X3)
    | ~ sdtmndtplgtdt0(X1,X2,X4) ),
    i_0_11 ).

cnf(c_0_43,negated_conjecture,
    ( xz = xy
    | sdtmndtplgtdt0(xy,xR,xz) ),
    i_0_25 ).

cnf(c_0_44,hypothesis,
    aRewritingSystem0(xR),
    i_0_17 ).

cnf(c_0_45,hypothesis,
    aElement0(xy),
    i_0_16 ).

cnf(c_0_46,hypothesis,
    aElement0(xz),
    i_0_15 ).

cnf(c_0_47,negated_conjecture,
    ~ sdtmndtplgtdt0(xx,xR,xz),
    i_0_20 ).

cnf(c_0_48,negated_conjecture,
    ( xz = xy
    | sdtmndtplgtdt0(X1,xR,xz)
    | ~ aElement0(X1)
    | ~ sdtmndtplgtdt0(X1,xR,xy) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_45]),c_0_46])]) ).

cnf(c_0_49,hypothesis,
    aElement0(xx),
    i_0_18 ).

cnf(c_0_50,negated_conjecture,
    ( xz = xy
    | ~ sdtmndtplgtdt0(xx,xR,xy) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).

cnf(c_0_51,negated_conjecture,
    ( xx = xy
    | sdtmndtplgtdt0(xx,xR,xy) ),
    i_0_30 ).

cnf(c_0_52,negated_conjecture,
    ~ sdtmndtasgtdt0(xx,xR,xz),
    i_0_19 ).

cnf(c_0_53,negated_conjecture,
    ( xx = xy
    | xz = xy ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_54,negated_conjecture,
    sdtmndtasgtdt0(xy,xR,xz),
    i_0_24 ).

cnf(c_0_55,negated_conjecture,
    xz = xy,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]) ).

cnf(c_0_56,negated_conjecture,
    sdtmndtasgtdt0(xx,xR,xy),
    i_0_29 ).

cnf(c_0_57,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_55]),c_0_56])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : COM012+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.15/0.35  % Computer : n020.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Thu Jun 16 19:40:51 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.47  # ENIGMATIC: Selected complete mode:
% 8.04/2.56  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.04/2.56  # No SInE strategy applied
% 8.04/2.56  # Trying AutoSched0 for 150 seconds
% 8.04/2.56  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 8.04/2.56  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.04/2.56  #
% 8.04/2.56  # Preprocessing time       : 0.013 s
% 8.04/2.56  
% 8.04/2.56  # Proof found!
% 8.04/2.56  # SZS status Theorem
% 8.04/2.56  # SZS output start CNFRefutation
% See solution above
% 8.04/2.56  # Training examples: 0 positive, 0 negative
% 8.04/2.56  
% 8.04/2.56  # -------------------------------------------------
% 8.04/2.56  # User time                : 0.017 s
% 8.04/2.56  # System time              : 0.005 s
% 8.04/2.56  # Total time               : 0.022 s
% 8.04/2.56  # Maximum resident set size: 7124 pages
% 8.04/2.56  
%------------------------------------------------------------------------------