TSTP Solution File: SET593+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET593+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n004.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 00:12:31 EDT 2022

% Result   : Theorem 13.54s 3.05s
% Output   : CNFRefutation 13.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   26 (   5 unt;  10 nHn;  18 RR)
%            Number of literals    :   53 (   0 equ;  20 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   48 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_6,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-59rfxuqf/input.p',i_0_6) ).

cnf(i_0_8,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-59rfxuqf/input.p',i_0_8) ).

cnf(i_0_9,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-59rfxuqf/input.p',i_0_9) ).

cnf(i_0_17,negated_conjecture,
    subset(esk3_0,union(esk4_0,esk5_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-59rfxuqf/input.p',i_0_17) ).

cnf(i_0_3,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-59rfxuqf/input.p',i_0_3) ).

cnf(i_0_5,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,difference(X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-59rfxuqf/input.p',i_0_5) ).

cnf(i_0_7,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-59rfxuqf/input.p',i_0_7) ).

cnf(i_0_16,negated_conjecture,
    ( ~ subset(difference(esk3_0,esk4_0),esk5_0)
    | ~ subset(difference(esk3_0,esk5_0),esk4_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-59rfxuqf/input.p',i_0_16) ).

cnf(c_0_26,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    i_0_6 ).

cnf(c_0_27,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    i_0_8 ).

cnf(c_0_28,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_9 ).

cnf(c_0_29,plain,
    ( member(esk1_2(difference(X1,X2),X3),X1)
    | subset(difference(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_30,plain,
    ( member(esk1_2(difference(X1,X2),X3),X4)
    | subset(difference(X1,X2),X3)
    | ~ subset(X1,X4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_31,negated_conjecture,
    subset(esk3_0,union(esk4_0,esk5_0)),
    i_0_17 ).

cnf(c_0_32,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    i_0_3 ).

cnf(c_0_33,negated_conjecture,
    ( member(esk1_2(difference(esk3_0,X1),X2),union(esk4_0,esk5_0))
    | subset(difference(esk3_0,X1),X2) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_34,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,difference(X3,X2)) ),
    i_0_5 ).

cnf(c_0_35,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    i_0_7 ).

cnf(c_0_36,plain,
    ( member(esk1_2(difference(esk3_0,X1),X2),esk4_0)
    | member(esk1_2(difference(esk3_0,X1),X2),esk5_0)
    | subset(difference(esk3_0,X1),X2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_37,plain,
    ( subset(difference(X1,X2),X3)
    | ~ member(esk1_2(difference(X1,X2),X3),X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_27]) ).

cnf(c_0_38,plain,
    ( member(esk1_2(difference(esk3_0,X1),esk5_0),esk4_0)
    | subset(difference(esk3_0,X1),esk5_0) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,plain,
    ( member(esk1_2(difference(esk3_0,esk5_0),X1),esk4_0)
    | subset(difference(esk3_0,esk5_0),X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_36]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ subset(difference(esk3_0,esk4_0),esk5_0)
    | ~ subset(difference(esk3_0,esk5_0),esk4_0) ),
    i_0_16 ).

cnf(c_0_41,plain,
    subset(difference(esk3_0,esk4_0),esk5_0),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_42,plain,
    subset(difference(esk3_0,esk5_0),esk4_0),
    inference(spm,[status(thm)],[c_0_35,c_0_39]) ).

cnf(c_0_43,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]),c_0_42])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET593+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n004.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 : Sun Jul 10 11:35:54 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 13.54/3.05  # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 13.54/3.05  # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 13.54/3.05  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 33; version: 991; iters: 150)
% 13.54/3.05  # Preprocessing time       : 0.704 s
% 13.54/3.05  
% 13.54/3.05  # Proof found!
% 13.54/3.05  # SZS status Theorem
% 13.54/3.05  # SZS output start CNFRefutation
% See solution above
% 13.54/3.05  # Training examples: 0 positive, 0 negative
% 13.54/3.05  
% 13.54/3.05  # -------------------------------------------------
% 13.54/3.05  # User time                : 0.624 s
% 13.54/3.05  # System time              : 0.105 s
% 13.54/3.05  # Total time               : 0.729 s
% 13.54/3.05  # ...preprocessing         : 0.704 s
% 13.54/3.05  # ...main loop             : 0.025 s
% 13.54/3.05  # Maximum resident set size: 151996 pages
% 13.54/3.05  
%------------------------------------------------------------------------------