TSTP Solution File: SET812+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET812+4 : TPTP v8.1.0. Released v3.2.0.
% 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 : Tue Jul 19 00:14:20 EDT 2022

% Result   : Theorem 15.76s 3.56s
% Output   : CNFRefutation 15.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   28 (   7 unt;   8 nHn;  20 RR)
%            Number of literals    :   57 (   0 equ;  23 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   46 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_21,plain,
    ( subset(X1,X2)
    | ~ member(X1,X2)
    | ~ member(X2,on) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7s9y3_r8/input.p',i_0_21) ).

cnf(i_0_66,plain,
    ( subset(X1,X2)
    | member(esk12_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7s9y3_r8/input.p',i_0_66) ).

cnf(i_0_74,negated_conjecture,
    member(esk14_0,on),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7s9y3_r8/input.p',i_0_74) ).

cnf(i_0_24,plain,
    ( member(X1,power_set(X2))
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7s9y3_r8/input.p',i_0_24) ).

cnf(i_0_13,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7s9y3_r8/input.p',i_0_13) ).

cnf(i_0_11,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7s9y3_r8/input.p',i_0_11) ).

cnf(i_0_65,plain,
    ( subset(X1,X2)
    | ~ member(esk12_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7s9y3_r8/input.p',i_0_65) ).

cnf(i_0_5,plain,
    ( equal_set(X1,X2)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7s9y3_r8/input.p',i_0_5) ).

cnf(i_0_73,negated_conjecture,
    ~ equal_set(esk14_0,intersection(esk14_0,power_set(esk14_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7s9y3_r8/input.p',i_0_73) ).

cnf(c_0_84,plain,
    ( subset(X1,X2)
    | ~ member(X1,X2)
    | ~ member(X2,on) ),
    i_0_21 ).

cnf(c_0_85,plain,
    ( subset(X1,X2)
    | member(esk12_2(X1,X2),X1) ),
    i_0_66 ).

cnf(c_0_86,plain,
    ( subset(esk12_2(X1,X2),X1)
    | subset(X1,X2)
    | ~ member(X1,on) ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_87,negated_conjecture,
    member(esk14_0,on),
    i_0_74 ).

cnf(c_0_88,plain,
    ( member(X1,power_set(X2))
    | ~ subset(X1,X2) ),
    i_0_24 ).

cnf(c_0_89,negated_conjecture,
    ( subset(esk12_2(esk14_0,X1),esk14_0)
    | subset(esk14_0,X1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_90,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    i_0_13 ).

cnf(c_0_91,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    i_0_11 ).

cnf(c_0_92,plain,
    ( subset(esk14_0,X1)
    | member(esk12_2(esk14_0,X1),power_set(esk14_0)) ),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_93,plain,
    ( subset(X1,X2)
    | ~ member(esk12_2(X1,X2),X2) ),
    i_0_65 ).

cnf(c_0_94,plain,
    ( subset(intersection(X1,X2),X3)
    | member(esk12_2(intersection(X1,X2),X3),X1) ),
    inference(spm,[status(thm)],[c_0_90,c_0_85]) ).

cnf(c_0_95,plain,
    ( subset(esk14_0,X1)
    | member(esk12_2(esk14_0,X1),intersection(X2,power_set(esk14_0)))
    | ~ member(esk12_2(esk14_0,X1),X2) ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_96,plain,
    ( equal_set(X1,X2)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    i_0_5 ).

cnf(c_0_97,plain,
    subset(intersection(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_98,plain,
    ( subset(esk14_0,X1)
    | member(esk12_2(esk14_0,X1),intersection(esk14_0,power_set(esk14_0))) ),
    inference(spm,[status(thm)],[c_0_95,c_0_85]) ).

cnf(c_0_99,plain,
    ( equal_set(X1,intersection(X1,X2))
    | ~ subset(X1,intersection(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_100,plain,
    subset(esk14_0,intersection(esk14_0,power_set(esk14_0))),
    inference(spm,[status(thm)],[c_0_93,c_0_98]) ).

cnf(c_0_101,negated_conjecture,
    ~ equal_set(esk14_0,intersection(esk14_0,power_set(esk14_0))),
    i_0_73 ).

cnf(c_0_102,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET812+4 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul 10 07:29:13 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.20/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 15.76/3.56  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 15.76/3.56  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 38; version: 991; iters: 150)
% 15.76/3.56  # Preprocessing time       : 0.856 s
% 15.76/3.56  # Presaturation interreduction done
% 15.76/3.56  
% 15.76/3.56  # Proof found!
% 15.76/3.56  # SZS status Theorem
% 15.76/3.56  # SZS output start CNFRefutation
% See solution above
% 15.76/3.56  # Training examples: 0 positive, 0 negative
% 15.76/3.56  
% 15.76/3.56  # -------------------------------------------------
% 15.76/3.56  # User time                : 0.851 s
% 15.76/3.56  # System time              : 0.115 s
% 15.76/3.56  # Total time               : 0.966 s
% 15.76/3.56  # ...preprocessing         : 0.856 s
% 15.76/3.56  # ...main loop             : 0.110 s
% 15.76/3.56  # Maximum resident set size: 166576 pages
% 15.76/3.56  
%------------------------------------------------------------------------------