TSTP Solution File: SEU422+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU422+1 : TPTP v8.1.0. Released v3.4.0.
% 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 08:42:13 EDT 2022

% Result   : Theorem 13.97s 3.30s
% Output   : CNFRefutation 13.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   33 (  10 unt;  15 nHn;  24 RR)
%            Number of literals    :   66 (   4 equ;  24 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :   43 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_24,plain,
    ( v1_xboole_0(X1)
    | m1_subset_1(esk5_3(X2,X1,X3),X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ r2_hidden(X2,a_2_0_relset_2(X1,X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sc621azq/input.p',i_0_24) ).

cnf(i_0_2,negated_conjecture,
    m1_subset_1(esk2_0,k1_zfmisc_1(esk1_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sc621azq/input.p',i_0_2) ).

cnf(i_0_3,negated_conjecture,
    ~ v1_xboole_0(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sc621azq/input.p',i_0_3) ).

cnf(i_0_7,plain,
    ( r1_tarski(X1,X2)
    | r2_hidden(esk3_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sc621azq/input.p',i_0_7) ).

cnf(i_0_37,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sc621azq/input.p',i_0_37) ).

cnf(i_0_40,plain,
    ( r1_tarski(k1_tarski(X1),X2)
    | ~ r2_hidden(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sc621azq/input.p',i_0_40) ).

cnf(i_0_42,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sc621azq/input.p',i_0_42) ).

cnf(i_0_23,plain,
    ( k1_tarski(esk5_3(X1,X2,X3)) = X1
    | v1_xboole_0(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2))
    | ~ r2_hidden(X1,a_2_0_relset_2(X2,X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sc621azq/input.p',i_0_23) ).

cnf(i_0_17,plain,
    ~ v1_xboole_0(k1_zfmisc_1(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sc621azq/input.p',i_0_17) ).

cnf(i_0_6,plain,
    ( r1_tarski(X1,X2)
    | ~ r2_hidden(esk3_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sc621azq/input.p',i_0_6) ).

cnf(i_0_1,negated_conjecture,
    ~ m1_subset_1(a_2_0_relset_2(esk1_0,esk2_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sc621azq/input.p',i_0_1) ).

cnf(c_0_54,plain,
    ( v1_xboole_0(X1)
    | m1_subset_1(esk5_3(X2,X1,X3),X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ r2_hidden(X2,a_2_0_relset_2(X1,X3)) ),
    i_0_24 ).

cnf(c_0_55,negated_conjecture,
    m1_subset_1(esk2_0,k1_zfmisc_1(esk1_0)),
    i_0_2 ).

cnf(c_0_56,negated_conjecture,
    ~ v1_xboole_0(esk1_0),
    i_0_3 ).

cnf(c_0_57,negated_conjecture,
    ( m1_subset_1(esk5_3(X1,esk1_0,esk2_0),esk1_0)
    | ~ r2_hidden(X1,a_2_0_relset_2(esk1_0,esk2_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).

cnf(c_0_58,plain,
    ( r1_tarski(X1,X2)
    | r2_hidden(esk3_2(X1,X2),X1) ),
    i_0_7 ).

cnf(c_0_59,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    i_0_37 ).

cnf(c_0_60,plain,
    ( m1_subset_1(esk5_3(esk3_2(a_2_0_relset_2(esk1_0,esk2_0),X1),esk1_0,esk2_0),esk1_0)
    | r1_tarski(a_2_0_relset_2(esk1_0,esk2_0),X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_61,plain,
    ( r1_tarski(k1_tarski(X1),X2)
    | ~ r2_hidden(X1,X2) ),
    i_0_40 ).

cnf(c_0_62,plain,
    ( r2_hidden(esk5_3(esk3_2(a_2_0_relset_2(esk1_0,esk2_0),X1),esk1_0,esk2_0),esk1_0)
    | r1_tarski(a_2_0_relset_2(esk1_0,esk2_0),X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_56]) ).

cnf(c_0_63,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    i_0_42 ).

cnf(c_0_64,plain,
    ( r1_tarski(k1_tarski(esk5_3(esk3_2(a_2_0_relset_2(esk1_0,esk2_0),X1),esk1_0,esk2_0)),esk1_0)
    | r1_tarski(a_2_0_relset_2(esk1_0,esk2_0),X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_65,plain,
    ( k1_tarski(esk5_3(X1,X2,X3)) = X1
    | v1_xboole_0(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2))
    | ~ r2_hidden(X1,a_2_0_relset_2(X2,X3)) ),
    i_0_23 ).

cnf(c_0_66,plain,
    ( m1_subset_1(k1_tarski(esk5_3(esk3_2(a_2_0_relset_2(esk1_0,esk2_0),X1),esk1_0,esk2_0)),k1_zfmisc_1(esk1_0))
    | r1_tarski(a_2_0_relset_2(esk1_0,esk2_0),X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_67,plain,
    ~ v1_xboole_0(k1_zfmisc_1(X1)),
    i_0_17 ).

cnf(c_0_68,negated_conjecture,
    ( k1_tarski(esk5_3(X1,esk1_0,esk2_0)) = X1
    | ~ r2_hidden(X1,a_2_0_relset_2(esk1_0,esk2_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_55]),c_0_56]) ).

cnf(c_0_69,plain,
    ( r2_hidden(k1_tarski(esk5_3(esk3_2(a_2_0_relset_2(esk1_0,esk2_0),X1),esk1_0,esk2_0)),k1_zfmisc_1(esk1_0))
    | r1_tarski(a_2_0_relset_2(esk1_0,esk2_0),X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_66]),c_0_67]) ).

cnf(c_0_70,plain,
    ( k1_tarski(esk5_3(esk3_2(a_2_0_relset_2(esk1_0,esk2_0),X1),esk1_0,esk2_0)) = esk3_2(a_2_0_relset_2(esk1_0,esk2_0),X1)
    | r1_tarski(a_2_0_relset_2(esk1_0,esk2_0),X1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_58]) ).

cnf(c_0_71,plain,
    ( r1_tarski(X1,X2)
    | ~ r2_hidden(esk3_2(X1,X2),X2) ),
    i_0_6 ).

cnf(c_0_72,plain,
    ( r2_hidden(esk3_2(a_2_0_relset_2(esk1_0,esk2_0),X1),k1_zfmisc_1(esk1_0))
    | r1_tarski(a_2_0_relset_2(esk1_0,esk2_0),X1) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_73,plain,
    r1_tarski(a_2_0_relset_2(esk1_0,esk2_0),k1_zfmisc_1(esk1_0)),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_74,negated_conjecture,
    ~ m1_subset_1(a_2_0_relset_2(esk1_0,esk2_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0))),
    i_0_1 ).

cnf(c_0_75,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_73]),c_0_74]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU422+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n004.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 : Mon Jun 20 01:54:55 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 13.97/3.30  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 13.97/3.30  # 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: 44; version: 991; iters: 150)
% 13.97/3.30  # Preprocessing time       : 0.851 s
% 13.97/3.30  # Presaturation interreduction done
% 13.97/3.30  
% 13.97/3.30  # Proof found!
% 13.97/3.30  # SZS status Theorem
% 13.97/3.30  # SZS output start CNFRefutation
% See solution above
% 13.97/3.30  # Training examples: 0 positive, 0 negative
% 13.97/3.30  
% 13.97/3.30  # -------------------------------------------------
% 13.97/3.30  # User time                : 0.807 s
% 13.97/3.30  # System time              : 0.104 s
% 13.97/3.30  # Total time               : 0.911 s
% 13.97/3.30  # ...preprocessing         : 0.851 s
% 13.97/3.30  # ...main loop             : 0.060 s
% 13.97/3.30  # Maximum resident set size: 167808 pages
% 13.97/3.30  
%------------------------------------------------------------------------------