TSTP Solution File: SET700+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET700+4 : TPTP v8.1.0. Released v2.2.0.
% 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 : Tue Jul 19 00:13:32 EDT 2022

% Result   : Theorem 18.12s 3.57s
% Output   : CNFRefutation 18.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   33 (   5 unt;  10 nHn;  25 RR)
%            Number of literals    :   68 (   0 equ;  31 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    4 (   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   :   58 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_20,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4yb0naa/input.p',i_0_20) ).

cnf(i_0_24,negated_conjecture,
    ( subset(esk4_0,esk5_0)
    | subset(intersection(esk4_0,difference(esk6_0,esk5_0)),esk5_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4yb0naa/input.p',i_0_24) ).

cnf(i_0_8,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4yb0naa/input.p',i_0_8) ).

cnf(i_0_2,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,difference(X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4yb0naa/input.p',i_0_2) ).

cnf(i_0_9,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4yb0naa/input.p',i_0_9) ).

cnf(i_0_19,plain,
    ( subset(X1,X2)
    | member(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4yb0naa/input.p',i_0_19) ).

cnf(i_0_27,negated_conjecture,
    subset(esk4_0,esk6_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4yb0naa/input.p',i_0_27) ).

cnf(i_0_10,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4yb0naa/input.p',i_0_10) ).

cnf(i_0_1,plain,
    ( member(X1,X2)
    | member(X1,difference(X3,X2))
    | ~ member(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4yb0naa/input.p',i_0_1) ).

cnf(i_0_25,negated_conjecture,
    ( ~ subset(esk4_0,esk5_0)
    | ~ subset(intersection(esk4_0,difference(esk6_0,esk5_0)),esk5_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4yb0naa/input.p',i_0_25) ).

cnf(i_0_18,plain,
    ( subset(X1,X2)
    | ~ member(esk2_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4yb0naa/input.p',i_0_18) ).

cnf(c_0_39,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_20 ).

cnf(c_0_40,negated_conjecture,
    ( subset(esk4_0,esk5_0)
    | subset(intersection(esk4_0,difference(esk6_0,esk5_0)),esk5_0) ),
    i_0_24 ).

cnf(c_0_41,plain,
    ( member(X1,esk5_0)
    | subset(esk4_0,esk5_0)
    | ~ member(X1,intersection(esk4_0,difference(esk6_0,esk5_0))) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_42,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    i_0_8 ).

cnf(c_0_43,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,difference(X3,X2)) ),
    i_0_2 ).

cnf(c_0_44,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X3,X2)) ),
    i_0_9 ).

cnf(c_0_45,plain,
    ( subset(X1,X2)
    | member(esk2_2(X1,X2),X1) ),
    i_0_19 ).

cnf(c_0_46,negated_conjecture,
    subset(esk4_0,esk6_0),
    i_0_27 ).

cnf(c_0_47,plain,
    ( ~ member(X1,difference(esk6_0,esk5_0))
    | ~ member(X1,esk4_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_39]),c_0_43]) ).

cnf(c_0_48,plain,
    ( member(esk2_2(intersection(X1,X2),X3),X2)
    | subset(intersection(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_49,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    i_0_10 ).

cnf(c_0_50,plain,
    ( member(X1,X2)
    | member(X1,difference(X3,X2))
    | ~ member(X1,X3) ),
    i_0_1 ).

cnf(c_0_51,negated_conjecture,
    ( member(X1,esk6_0)
    | ~ member(X1,esk4_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_46]) ).

cnf(c_0_52,plain,
    ( subset(intersection(X1,difference(esk6_0,esk5_0)),X2)
    | ~ member(esk2_2(intersection(X1,difference(esk6_0,esk5_0)),X2),esk4_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_53,plain,
    ( member(esk2_2(intersection(X1,X2),X3),X1)
    | subset(intersection(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_49,c_0_45]) ).

cnf(c_0_54,plain,
    ( member(X1,esk5_0)
    | ~ member(X1,esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_50]),c_0_51]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ subset(esk4_0,esk5_0)
    | ~ subset(intersection(esk4_0,difference(esk6_0,esk5_0)),esk5_0) ),
    i_0_25 ).

cnf(c_0_56,plain,
    subset(intersection(esk4_0,difference(esk6_0,esk5_0)),X1),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_57,plain,
    ( subset(X1,X2)
    | ~ member(esk2_2(X1,X2),X2) ),
    i_0_18 ).

cnf(c_0_58,plain,
    ( member(esk2_2(esk4_0,X1),esk5_0)
    | subset(esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_45]) ).

cnf(c_0_59,negated_conjecture,
    ~ subset(esk4_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56])]) ).

cnf(c_0_60,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET700+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n029.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 01:41:02 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox/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
% 18.12/3.57  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 18.12/3.57  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 35; version: 991; iters: 150)
% 18.12/3.57  # Preprocessing time       : 1.116 s
% 18.12/3.57  
% 18.12/3.57  # Proof found!
% 18.12/3.57  # SZS status Theorem
% 18.12/3.57  # SZS output start CNFRefutation
% See solution above
% 18.12/3.57  # Training examples: 0 positive, 0 negative
% 18.12/3.57  
% 18.12/3.57  # -------------------------------------------------
% 18.12/3.57  # User time                : 1.015 s
% 18.12/3.57  # System time              : 0.122 s
% 18.12/3.57  # Total time               : 1.137 s
% 18.12/3.57  # ...preprocessing         : 1.116 s
% 18.12/3.57  # ...main loop             : 0.021 s
% 18.12/3.57  # Maximum resident set size: 175972 pages
% 18.12/3.57  
%------------------------------------------------------------------------------