TSTP Solution File: SET695+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET695+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 00:13:30 EDT 2022

% Result   : Theorem 16.24s 3.55s
% Output   : CNFRefutation 16.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   32 (   6 unt;  12 nHn;  23 RR)
%            Number of literals    :   65 (   0 equ;  26 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    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   52 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_20,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2niaxn9n/input.p',i_0_20) ).

cnf(i_0_24,negated_conjecture,
    ( subset(esk4_0,esk5_0)
    | subset(difference(esk6_0,esk5_0),difference(esk6_0,esk4_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2niaxn9n/input.p',i_0_24) ).

cnf(i_0_2,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,difference(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2niaxn9n/input.p',i_0_2) ).

cnf(i_0_27,negated_conjecture,
    subset(esk4_0,esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2niaxn9n/input.p',i_0_27) ).

cnf(i_0_1,plain,
    ( member(X1,X2)
    | member(X1,difference(X3,X2))
    | ~ member(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2niaxn9n/input.p',i_0_1) ).

cnf(i_0_18,plain,
    ( subset(X1,X2)
    | ~ member(esk2_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2niaxn9n/input.p',i_0_18) ).

cnf(i_0_3,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2niaxn9n/input.p',i_0_3) ).

cnf(i_0_19,plain,
    ( subset(X1,X2)
    | member(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2niaxn9n/input.p',i_0_19) ).

cnf(i_0_25,negated_conjecture,
    ( ~ subset(esk4_0,esk5_0)
    | ~ subset(difference(esk6_0,esk5_0),difference(esk6_0,esk4_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2niaxn9n/input.p',i_0_25) ).

cnf(c_0_37,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_20 ).

cnf(c_0_38,negated_conjecture,
    ( subset(esk4_0,esk5_0)
    | subset(difference(esk6_0,esk5_0),difference(esk6_0,esk4_0)) ),
    i_0_24 ).

cnf(c_0_39,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,difference(X3,X2)) ),
    i_0_2 ).

cnf(c_0_40,plain,
    ( member(X1,difference(esk6_0,esk4_0))
    | subset(esk4_0,esk5_0)
    | ~ member(X1,difference(esk6_0,esk5_0)) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_41,negated_conjecture,
    subset(esk4_0,esk6_0),
    i_0_27 ).

cnf(c_0_42,plain,
    ( subset(esk4_0,esk5_0)
    | ~ member(X1,difference(esk6_0,esk5_0))
    | ~ member(X1,esk4_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_43,plain,
    ( member(X1,X2)
    | member(X1,difference(X3,X2))
    | ~ member(X1,X3) ),
    i_0_1 ).

cnf(c_0_44,negated_conjecture,
    ( member(X1,esk6_0)
    | ~ member(X1,esk4_0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_41]) ).

cnf(c_0_45,plain,
    ( subset(X1,X2)
    | ~ member(esk2_2(X1,X2),X2) ),
    i_0_18 ).

cnf(c_0_46,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    i_0_3 ).

cnf(c_0_47,plain,
    ( subset(X1,X2)
    | member(esk2_2(X1,X2),X1) ),
    i_0_19 ).

cnf(c_0_48,plain,
    ( member(X1,esk5_0)
    | ~ member(X1,esk4_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_37]) ).

cnf(c_0_49,plain,
    ( member(esk2_2(X1,difference(X2,X3)),X3)
    | subset(X1,difference(X2,X3))
    | ~ member(esk2_2(X1,difference(X2,X3)),X2) ),
    inference(spm,[status(thm)],[c_0_45,c_0_43]) ).

cnf(c_0_50,plain,
    ( member(esk2_2(difference(X1,X2),X3),X1)
    | subset(difference(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_51,plain,
    ( member(esk2_2(esk4_0,X1),esk5_0)
    | subset(esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_47]) ).

cnf(c_0_52,plain,
    ( member(esk2_2(difference(X1,X2),difference(X1,X3)),X3)
    | subset(difference(X1,X2),difference(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ subset(esk4_0,esk5_0)
    | ~ subset(difference(esk6_0,esk5_0),difference(esk6_0,esk4_0)) ),
    i_0_25 ).

cnf(c_0_54,plain,
    subset(esk4_0,esk5_0),
    inference(spm,[status(thm)],[c_0_45,c_0_51]) ).

cnf(c_0_55,plain,
    ( subset(difference(X1,X2),X3)
    | ~ member(esk2_2(difference(X1,X2),X3),X2) ),
    inference(spm,[status(thm)],[c_0_39,c_0_47]) ).

cnf(c_0_56,plain,
    ( member(esk2_2(difference(X1,X2),difference(X1,esk4_0)),esk5_0)
    | subset(difference(X1,X2),difference(X1,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_48,c_0_52]) ).

cnf(c_0_57,negated_conjecture,
    ~ subset(difference(esk6_0,esk5_0),difference(esk6_0,esk4_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]) ).

cnf(c_0_58,plain,
    subset(difference(X1,esk5_0),difference(X1,esk4_0)),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_59,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET695+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 00:17:12 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 16.24/3.55  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 16.24/3.55  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 32; version: 991; iters: 150)
% 16.24/3.55  # Preprocessing time       : 1.131 s
% 16.24/3.55  
% 16.24/3.55  # Proof found!
% 16.24/3.55  # SZS status Theorem
% 16.24/3.55  # SZS output start CNFRefutation
% See solution above
% 16.24/3.55  # Training examples: 0 positive, 0 negative
% 16.24/3.55  
% 16.24/3.55  # -------------------------------------------------
% 16.24/3.55  # User time                : 1.033 s
% 16.24/3.55  # System time              : 0.164 s
% 16.24/3.55  # Total time               : 1.198 s
% 16.24/3.55  # ...preprocessing         : 1.131 s
% 16.24/3.55  # ...main loop             : 0.066 s
% 16.24/3.55  # Maximum resident set size: 175284 pages
% 16.24/3.55  
%------------------------------------------------------------------------------