TSTP Solution File: SEU449+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU449+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 08:42:44 EDT 2022

% Result   : Theorem 9.77s 4.41s
% Output   : CNFRefutation 9.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   31 (  10 unt;   0 nHn;  29 RR)
%            Number of literals    :   68 (   0 equ;  46 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-4 aty)
%            Number of variables   :   52 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4624,plain,
    ( r1_tarski(X1,k8_relset_2(X2,X3,X4,X5))
    | ~ m2_relset_1(X5,X2,X3)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X3))
    | ~ m1_subset_1(X4,k1_zfmisc_1(X2))
    | ~ r1_tarski(X4,k8_relset_2(X3,X2,X1,k6_relset_1(X2,X3,X5))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-78ritk9q/lgb.p',i_0_4624) ).

cnf(i_0_1676,plain,
    r1_tarski(X1,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-78ritk9q/lgb.p',i_0_1676) ).

cnf(i_0_4656,negated_conjecture,
    ( ~ r1_tarski(esk641_0,k8_relset_2(esk640_0,esk639_0,k8_relset_2(esk639_0,esk640_0,esk641_0,esk643_0),k6_relset_1(esk639_0,esk640_0,esk643_0)))
    | ~ r1_tarski(esk642_0,k8_relset_2(esk639_0,esk640_0,k8_relset_2(esk640_0,esk639_0,esk642_0,k6_relset_1(esk639_0,esk640_0,esk643_0)),esk643_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-78ritk9q/lgb.p',i_0_4656) ).

cnf(i_0_4657,negated_conjecture,
    m2_relset_1(esk643_0,esk639_0,esk640_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-78ritk9q/lgb.p',i_0_4657) ).

cnf(i_0_4658,negated_conjecture,
    m1_subset_1(esk642_0,k1_zfmisc_1(esk640_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-78ritk9q/lgb.p',i_0_4658) ).

cnf(i_0_4623,plain,
    ( r1_tarski(X1,k8_relset_2(X2,X3,X4,k6_relset_1(X3,X2,X5)))
    | ~ m2_relset_1(X5,X3,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X3))
    | ~ m1_subset_1(X4,k1_zfmisc_1(X2))
    | ~ r1_tarski(X4,k8_relset_2(X3,X2,X1,X5)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-78ritk9q/lgb.p',i_0_4623) ).

cnf(i_0_4659,negated_conjecture,
    m1_subset_1(esk641_0,k1_zfmisc_1(esk639_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-78ritk9q/lgb.p',i_0_4659) ).

cnf(i_0_795,plain,
    ( m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-78ritk9q/lgb.p',i_0_795) ).

cnf(i_0_834,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-78ritk9q/lgb.p',i_0_834) ).

cnf(i_0_782,plain,
    ( m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
    | ~ m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-78ritk9q/lgb.p',i_0_782) ).

cnf(i_0_1670,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-78ritk9q/lgb.p',i_0_1670) ).

cnf(c_0_4671,plain,
    ( r1_tarski(X1,k8_relset_2(X2,X3,X4,X5))
    | ~ m2_relset_1(X5,X2,X3)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X3))
    | ~ m1_subset_1(X4,k1_zfmisc_1(X2))
    | ~ r1_tarski(X4,k8_relset_2(X3,X2,X1,k6_relset_1(X2,X3,X5))) ),
    i_0_4624 ).

cnf(c_0_4672,plain,
    r1_tarski(X1,X1),
    i_0_1676 ).

cnf(c_0_4673,negated_conjecture,
    ( ~ r1_tarski(esk641_0,k8_relset_2(esk640_0,esk639_0,k8_relset_2(esk639_0,esk640_0,esk641_0,esk643_0),k6_relset_1(esk639_0,esk640_0,esk643_0)))
    | ~ r1_tarski(esk642_0,k8_relset_2(esk639_0,esk640_0,k8_relset_2(esk640_0,esk639_0,esk642_0,k6_relset_1(esk639_0,esk640_0,esk643_0)),esk643_0)) ),
    i_0_4656 ).

cnf(c_0_4674,plain,
    ( r1_tarski(X1,k8_relset_2(X2,X3,k8_relset_2(X3,X2,X1,k6_relset_1(X2,X3,X4)),X4))
    | ~ m2_relset_1(X4,X2,X3)
    | ~ m1_subset_1(k8_relset_2(X3,X2,X1,k6_relset_1(X2,X3,X4)),k1_zfmisc_1(X2))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
    inference(spm,[status(thm)],[c_0_4671,c_0_4672]) ).

cnf(c_0_4675,negated_conjecture,
    m2_relset_1(esk643_0,esk639_0,esk640_0),
    i_0_4657 ).

cnf(c_0_4676,negated_conjecture,
    m1_subset_1(esk642_0,k1_zfmisc_1(esk640_0)),
    i_0_4658 ).

cnf(c_0_4677,negated_conjecture,
    ( ~ m1_subset_1(k8_relset_2(esk640_0,esk639_0,esk642_0,k6_relset_1(esk639_0,esk640_0,esk643_0)),k1_zfmisc_1(esk639_0))
    | ~ r1_tarski(esk641_0,k8_relset_2(esk640_0,esk639_0,k8_relset_2(esk639_0,esk640_0,esk641_0,esk643_0),k6_relset_1(esk639_0,esk640_0,esk643_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4673,c_0_4674]),c_0_4675]),c_0_4676])]) ).

cnf(c_0_4678,plain,
    ( r1_tarski(X1,k8_relset_2(X2,X3,X4,k6_relset_1(X3,X2,X5)))
    | ~ m2_relset_1(X5,X3,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X3))
    | ~ m1_subset_1(X4,k1_zfmisc_1(X2))
    | ~ r1_tarski(X4,k8_relset_2(X3,X2,X1,X5)) ),
    i_0_4623 ).

cnf(c_0_4679,negated_conjecture,
    m1_subset_1(esk641_0,k1_zfmisc_1(esk639_0)),
    i_0_4659 ).

cnf(c_0_4680,plain,
    ( ~ m1_subset_1(k8_relset_2(esk640_0,esk639_0,esk642_0,k6_relset_1(esk639_0,esk640_0,esk643_0)),k1_zfmisc_1(esk639_0))
    | ~ m1_subset_1(k8_relset_2(esk639_0,esk640_0,esk641_0,esk643_0),k1_zfmisc_1(esk640_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4677,c_0_4678]),c_0_4675]),c_0_4679]),c_0_4672])]) ).

cnf(c_0_4681,plain,
    ( m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    i_0_795 ).

cnf(c_0_4682,plain,
    ( ~ m1_subset_1(k6_relset_1(esk639_0,esk640_0,esk643_0),k1_zfmisc_1(k2_zfmisc_1(esk640_0,esk639_0)))
    | ~ m1_subset_1(k8_relset_2(esk639_0,esk640_0,esk641_0,esk643_0),k1_zfmisc_1(esk640_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4680,c_0_4681]),c_0_4676])]) ).

cnf(c_0_4683,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_834 ).

cnf(c_0_4684,plain,
    ( ~ m2_relset_1(k6_relset_1(esk639_0,esk640_0,esk643_0),esk640_0,esk639_0)
    | ~ m1_subset_1(k8_relset_2(esk639_0,esk640_0,esk641_0,esk643_0),k1_zfmisc_1(esk640_0)) ),
    inference(spm,[status(thm)],[c_0_4682,c_0_4683]) ).

cnf(c_0_4685,plain,
    ( m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
    | ~ m1_relset_1(X3,X1,X2) ),
    i_0_782 ).

cnf(c_0_4686,plain,
    ( ~ m1_relset_1(esk643_0,esk639_0,esk640_0)
    | ~ m1_subset_1(k8_relset_2(esk639_0,esk640_0,esk641_0,esk643_0),k1_zfmisc_1(esk640_0)) ),
    inference(spm,[status(thm)],[c_0_4684,c_0_4685]) ).

cnf(c_0_4687,plain,
    ( ~ m1_relset_1(esk643_0,esk639_0,esk640_0)
    | ~ m1_subset_1(esk643_0,k1_zfmisc_1(k2_zfmisc_1(esk639_0,esk640_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4686,c_0_4681]),c_0_4679])]) ).

cnf(c_0_4688,plain,
    ~ m1_relset_1(esk643_0,esk639_0,esk640_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4687,c_0_4683]),c_0_4675])]) ).

cnf(c_0_4689,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_1670 ).

cnf(c_0_4690,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4688,c_0_4689]),c_0_4675])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEU449+3 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n008.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Mon Jun 20 00:12:42 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.91/1.10  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.91/1.10  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.91/1.10  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.91/1.10  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.77/4.41  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.77/4.41  # No SInE strategy applied
% 9.77/4.41  # Trying AutoSched0 for 149 seconds
% 9.77/4.41  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.77/4.41  # and selection function SelectComplexExceptUniqMaxHorn.
% 9.77/4.41  #
% 9.77/4.41  # Preprocessing time       : 0.024 s
% 9.77/4.41  # Presaturation interreduction done
% 9.77/4.41  
% 9.77/4.41  # Proof found!
% 9.77/4.41  # SZS status Theorem
% 9.77/4.41  # SZS output start CNFRefutation
% See solution above
% 9.77/4.41  # Training examples: 0 positive, 0 negative
% 9.77/4.41  
% 9.77/4.41  # -------------------------------------------------
% 9.77/4.41  # User time                : 0.070 s
% 9.77/4.41  # System time              : 0.007 s
% 9.77/4.41  # Total time               : 0.077 s
% 9.77/4.41  # Maximum resident set size: 7124 pages
% 9.77/4.41  
%------------------------------------------------------------------------------