TSTP Solution File: KRS251+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KRS251+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 : Sun Jul 17 02:56:12 EDT 2022

% Result   : Theorem 254.99s 33.43s
% Output   : CNFRefutation 254.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   42 (   9 unt;  18 nHn;  33 RR)
%            Number of literals    :   90 (   0 equ;  35 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   64 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
    ( status(X1,X2,csa)
    | ~ model(X3,X1)
    | ~ model(X3,not(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u2955dcy/input.p',i_0_8) ).

cnf(i_0_3,plain,
    ( model(X1,X2)
    | model(X1,not(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u2955dcy/input.p',i_0_3) ).

cnf(i_0_77,plain,
    ( status(X1,X2,thm)
    | model(esk51_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u2955dcy/input.p',i_0_77) ).

cnf(i_0_76,plain,
    ( status(X1,X2,thm)
    | ~ model(esk51_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u2955dcy/input.p',i_0_76) ).

cnf(i_0_108,plain,
    ( xora(X1,X2)
    | status(esk69_2(X1,X2),esk70_2(X1,X2),X2)
    | ~ status(esk69_2(X1,X2),esk70_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u2955dcy/input.p',i_0_108) ).

cnf(i_0_109,negated_conjecture,
    ~ xora(csa,thm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u2955dcy/input.p',i_0_109) ).

cnf(i_0_107,plain,
    ( xora(X1,X2)
    | status(esk69_2(X1,X2),esk70_2(X1,X2),X1)
    | ~ status(esk69_2(X1,X2),esk70_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u2955dcy/input.p',i_0_107) ).

cnf(i_0_106,plain,
    ( ~ xora(X1,X2)
    | ~ status(X3,X4,X2)
    | ~ status(X3,X4,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u2955dcy/input.p',i_0_106) ).

cnf(i_0_75,plain,
    ( model(X1,X2)
    | ~ model(X1,X3)
    | ~ status(X3,X2,thm) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u2955dcy/input.p',i_0_75) ).

cnf(i_0_7,plain,
    ( model(esk3_2(X1,X2),X1)
    | ~ status(X1,X2,csa) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u2955dcy/input.p',i_0_7) ).

cnf(i_0_6,plain,
    ( model(esk3_2(X1,X2),not(X2))
    | ~ status(X1,X2,csa) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u2955dcy/input.p',i_0_6) ).

cnf(i_0_4,plain,
    ( ~ model(X1,X2)
    | ~ model(X1,not(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u2955dcy/input.p',i_0_4) ).

cnf(c_0_122,plain,
    ( status(X1,X2,csa)
    | ~ model(X3,X1)
    | ~ model(X3,not(X2)) ),
    i_0_8 ).

cnf(c_0_123,plain,
    ( model(X1,X2)
    | model(X1,not(X2)) ),
    i_0_3 ).

cnf(c_0_124,plain,
    ( status(X1,X2,csa)
    | model(X3,X2)
    | ~ model(X3,X1) ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_125,plain,
    ( status(X1,X2,thm)
    | model(esk51_2(X1,X2),X1) ),
    i_0_77 ).

cnf(c_0_126,plain,
    ( status(X1,X2,thm)
    | ~ model(esk51_2(X1,X2),X2) ),
    i_0_76 ).

cnf(c_0_127,plain,
    ( status(X1,X2,thm)
    | status(X1,X3,csa)
    | model(esk51_2(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_128,plain,
    ( xora(X1,X2)
    | status(esk69_2(X1,X2),esk70_2(X1,X2),X2)
    | ~ status(esk69_2(X1,X2),esk70_2(X1,X2),X1) ),
    i_0_108 ).

cnf(c_0_129,plain,
    ( status(X1,X2,csa)
    | status(X1,X2,thm) ),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_130,plain,
    ( status(esk69_2(csa,X1),esk70_2(csa,X1),thm)
    | status(esk69_2(csa,X1),esk70_2(csa,X1),X1)
    | xora(csa,X1) ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_131,negated_conjecture,
    ~ xora(csa,thm),
    i_0_109 ).

cnf(c_0_132,plain,
    ( xora(X1,X2)
    | status(esk69_2(X1,X2),esk70_2(X1,X2),X1)
    | ~ status(esk69_2(X1,X2),esk70_2(X1,X2),X2) ),
    i_0_107 ).

cnf(c_0_133,plain,
    status(esk69_2(csa,thm),esk70_2(csa,thm),thm),
    inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_130]),c_0_131]) ).

cnf(c_0_134,plain,
    ( status(esk69_2(X1,csa),esk70_2(X1,csa),thm)
    | status(esk69_2(X1,csa),esk70_2(X1,csa),X1)
    | xora(X1,csa) ),
    inference(spm,[status(thm)],[c_0_132,c_0_129]) ).

cnf(c_0_135,plain,
    ( ~ xora(X1,X2)
    | ~ status(X3,X4,X2)
    | ~ status(X3,X4,X1) ),
    i_0_106 ).

cnf(c_0_136,plain,
    status(esk69_2(csa,thm),esk70_2(csa,thm),csa),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_131]) ).

cnf(c_0_137,plain,
    ( status(esk69_2(thm,csa),esk70_2(thm,csa),thm)
    | xora(thm,csa) ),
    inference(ef,[status(thm)],[c_0_134]) ).

cnf(c_0_138,plain,
    ( ~ status(esk69_2(csa,thm),esk70_2(csa,thm),X1)
    | ~ xora(X1,csa) ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_139,plain,
    ( model(X1,X2)
    | ~ model(X1,X3)
    | ~ status(X3,X2,thm) ),
    i_0_75 ).

cnf(c_0_140,plain,
    ( model(esk3_2(X1,X2),X1)
    | ~ status(X1,X2,csa) ),
    i_0_7 ).

cnf(c_0_141,plain,
    ( status(esk69_2(thm,csa),esk70_2(thm,csa),csa)
    | xora(thm,csa) ),
    inference(spm,[status(thm)],[c_0_128,c_0_137]) ).

cnf(c_0_142,plain,
    ~ xora(thm,csa),
    inference(spm,[status(thm)],[c_0_138,c_0_133]) ).

cnf(c_0_143,plain,
    ( xora(thm,csa)
    | model(X1,esk70_2(thm,csa))
    | ~ model(X1,esk69_2(thm,csa)) ),
    inference(spm,[status(thm)],[c_0_139,c_0_137]) ).

cnf(c_0_144,plain,
    ( xora(thm,csa)
    | model(esk3_2(esk69_2(thm,csa),esk70_2(thm,csa)),esk69_2(thm,csa)) ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_145,plain,
    ( model(esk3_2(X1,X2),not(X2))
    | ~ status(X1,X2,csa) ),
    i_0_6 ).

cnf(c_0_146,plain,
    status(esk69_2(thm,csa),esk70_2(thm,csa),csa),
    inference(sr,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_147,plain,
    ( xora(thm,csa)
    | model(esk3_2(esk69_2(thm,csa),esk70_2(thm,csa)),esk70_2(thm,csa)) ),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_148,plain,
    ( ~ model(X1,X2)
    | ~ model(X1,not(X2)) ),
    i_0_4 ).

cnf(c_0_149,plain,
    model(esk3_2(esk69_2(thm,csa),esk70_2(thm,csa)),not(esk70_2(thm,csa))),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_150,plain,
    model(esk3_2(esk69_2(thm,csa),esk70_2(thm,csa)),esk70_2(thm,csa)),
    inference(sr,[status(thm)],[c_0_147,c_0_142]) ).

cnf(c_0_151,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS251+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun  7 16:49:22 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 254.99/33.43  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 254.99/33.43  # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 254.99/33.43  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 17; version: 991; iters: 150)
% 254.99/33.43  # Preprocessing time       : 0.689 s
% 254.99/33.43  
% 254.99/33.43  # Proof found!
% 254.99/33.43  # SZS status Theorem
% 254.99/33.43  # SZS output start CNFRefutation
% See solution above
% 254.99/33.43  # Training examples: 0 positive, 0 negative
% 254.99/33.43  
% 254.99/33.43  # -------------------------------------------------
% 254.99/33.43  # User time                : 0.818 s
% 254.99/33.43  # System time              : 0.101 s
% 254.99/33.43  # Total time               : 0.919 s
% 254.99/33.43  # ...preprocessing         : 0.689 s
% 254.99/33.43  # ...main loop             : 0.230 s
% 254.99/33.43  # Maximum resident set size: 155224 pages
% 254.99/33.43  
%------------------------------------------------------------------------------