TSTP Solution File: SEU441+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU441+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 08:42:34 EDT 2022

% Result   : Theorem 11.66s 4.83s
% Output   : CNFRefutation 11.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   39 (   8 unt;   0 nHn;  37 RR)
%            Number of literals    :   96 (  16 equ;  71 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-5 aty)
%            Number of variables   :   53 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4333,negated_conjecture,
    ( k2_funct_5(k9_relset_2(esk591_0,esk592_0,esk593_0,esk594_0,esk595_0)) != k10_relset_1(esk592_0,esk593_0,esk595_0,k2_funct_5(esk594_0))
    | ~ r1_tarski(k2_funct_5(k9_relset_2(esk591_0,esk592_0,esk593_0,esk594_0,esk595_0)),k2_funct_5(esk595_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nyieqgw7/lgb.p',i_0_4333) ).

cnf(i_0_2821,plain,
    ( k2_funct_5(X1) = k2_relat_1(X1)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nyieqgw7/lgb.p',i_0_2821) ).

cnf(i_0_1780,plain,
    ( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
    | ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nyieqgw7/lgb.p',i_0_1780) ).

cnf(i_0_37,plain,
    ( v1_relat_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nyieqgw7/lgb.p',i_0_37) ).

cnf(i_0_1753,plain,
    ( k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4)
    | ~ m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nyieqgw7/lgb.p',i_0_1753) ).

cnf(i_0_3993,plain,
    ( r1_tarski(k2_relat_1(k5_relat_1(X1,X2)),k2_relat_1(X2))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nyieqgw7/lgb.p',i_0_3993) ).

cnf(i_0_2376,plain,
    ( k2_relat_1(k5_relat_1(X1,X2)) = k9_relat_1(X2,k2_relat_1(X1))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nyieqgw7/lgb.p',i_0_2376) ).

cnf(i_0_885,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-nyieqgw7/lgb.p',i_0_885) ).

cnf(i_0_4335,negated_conjecture,
    m2_relset_1(esk594_0,esk591_0,esk592_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nyieqgw7/lgb.p',i_0_4335) ).

cnf(i_0_4334,negated_conjecture,
    m2_relset_1(esk595_0,esk592_0,esk593_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nyieqgw7/lgb.p',i_0_4334) ).

cnf(i_0_1782,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nyieqgw7/lgb.p',i_0_1782) ).

cnf(i_0_841,plain,
    ( v1_relat_1(k5_relat_1(X1,X2))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nyieqgw7/lgb.p',i_0_841) ).

cnf(c_0_4348,negated_conjecture,
    ( k2_funct_5(k9_relset_2(esk591_0,esk592_0,esk593_0,esk594_0,esk595_0)) != k10_relset_1(esk592_0,esk593_0,esk595_0,k2_funct_5(esk594_0))
    | ~ r1_tarski(k2_funct_5(k9_relset_2(esk591_0,esk592_0,esk593_0,esk594_0,esk595_0)),k2_funct_5(esk595_0)) ),
    i_0_4333 ).

cnf(c_0_4349,plain,
    ( k2_funct_5(X1) = k2_relat_1(X1)
    | ~ v1_relat_1(X1) ),
    i_0_2821 ).

cnf(c_0_4350,negated_conjecture,
    ( k2_funct_5(k9_relset_2(esk591_0,esk592_0,esk593_0,esk594_0,esk595_0)) != k10_relset_1(esk592_0,esk593_0,esk595_0,k2_funct_5(esk594_0))
    | ~ v1_relat_1(esk595_0)
    | ~ r1_tarski(k2_funct_5(k9_relset_2(esk591_0,esk592_0,esk593_0,esk594_0,esk595_0)),k2_relat_1(esk595_0)) ),
    inference(spm,[status(thm)],[c_0_4348,c_0_4349]) ).

cnf(c_0_4351,plain,
    ( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
    | ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    i_0_1780 ).

cnf(c_0_4352,plain,
    ( v1_relat_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    i_0_37 ).

cnf(c_0_4353,negated_conjecture,
    ( k10_relset_1(esk592_0,esk593_0,esk595_0,k2_funct_5(esk594_0)) != k2_funct_5(k5_relat_1(esk594_0,esk595_0))
    | ~ m1_subset_1(esk595_0,k1_zfmisc_1(k2_zfmisc_1(esk592_0,esk593_0)))
    | ~ m1_subset_1(esk594_0,k1_zfmisc_1(k2_zfmisc_1(esk591_0,esk592_0)))
    | ~ r1_tarski(k2_funct_5(k5_relat_1(esk594_0,esk595_0)),k2_relat_1(esk595_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4350,c_0_4351]),c_0_4352]) ).

cnf(c_0_4354,plain,
    ( k10_relset_1(esk592_0,esk593_0,esk595_0,k2_relat_1(esk594_0)) != k2_funct_5(k5_relat_1(esk594_0,esk595_0))
    | ~ m1_subset_1(esk595_0,k1_zfmisc_1(k2_zfmisc_1(esk592_0,esk593_0)))
    | ~ m1_subset_1(esk594_0,k1_zfmisc_1(k2_zfmisc_1(esk591_0,esk592_0)))
    | ~ r1_tarski(k2_funct_5(k5_relat_1(esk594_0,esk595_0)),k2_relat_1(esk595_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4353,c_0_4349]),c_0_4352]) ).

cnf(c_0_4355,plain,
    ( k10_relset_1(esk592_0,esk593_0,esk595_0,k2_relat_1(esk594_0)) != k2_relat_1(k5_relat_1(esk594_0,esk595_0))
    | ~ v1_relat_1(k5_relat_1(esk594_0,esk595_0))
    | ~ m1_subset_1(esk595_0,k1_zfmisc_1(k2_zfmisc_1(esk592_0,esk593_0)))
    | ~ m1_subset_1(esk594_0,k1_zfmisc_1(k2_zfmisc_1(esk591_0,esk592_0)))
    | ~ r1_tarski(k2_relat_1(k5_relat_1(esk594_0,esk595_0)),k2_relat_1(esk595_0)) ),
    inference(spm,[status(thm)],[c_0_4354,c_0_4349]) ).

cnf(c_0_4356,plain,
    ( k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4)
    | ~ m1_relset_1(X3,X1,X2) ),
    i_0_1753 ).

cnf(c_0_4357,plain,
    ( k9_relat_1(esk595_0,k2_relat_1(esk594_0)) != k2_relat_1(k5_relat_1(esk594_0,esk595_0))
    | ~ m1_relset_1(esk595_0,esk592_0,esk593_0)
    | ~ v1_relat_1(k5_relat_1(esk594_0,esk595_0))
    | ~ m1_subset_1(esk595_0,k1_zfmisc_1(k2_zfmisc_1(esk592_0,esk593_0)))
    | ~ m1_subset_1(esk594_0,k1_zfmisc_1(k2_zfmisc_1(esk591_0,esk592_0)))
    | ~ r1_tarski(k2_relat_1(k5_relat_1(esk594_0,esk595_0)),k2_relat_1(esk595_0)) ),
    inference(spm,[status(thm)],[c_0_4355,c_0_4356]) ).

cnf(c_0_4358,plain,
    ( r1_tarski(k2_relat_1(k5_relat_1(X1,X2)),k2_relat_1(X2))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    i_0_3993 ).

cnf(c_0_4359,plain,
    ( k9_relat_1(esk595_0,k2_relat_1(esk594_0)) != k2_relat_1(k5_relat_1(esk594_0,esk595_0))
    | ~ m1_relset_1(esk595_0,esk592_0,esk593_0)
    | ~ v1_relat_1(k5_relat_1(esk594_0,esk595_0))
    | ~ m1_subset_1(esk595_0,k1_zfmisc_1(k2_zfmisc_1(esk592_0,esk593_0)))
    | ~ m1_subset_1(esk594_0,k1_zfmisc_1(k2_zfmisc_1(esk591_0,esk592_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4357,c_0_4358]),c_0_4352]),c_0_4352]) ).

cnf(c_0_4360,plain,
    ( k2_relat_1(k5_relat_1(X1,X2)) = k9_relat_1(X2,k2_relat_1(X1))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    i_0_2376 ).

cnf(c_0_4361,plain,
    ( ~ m1_relset_1(esk595_0,esk592_0,esk593_0)
    | ~ v1_relat_1(k5_relat_1(esk594_0,esk595_0))
    | ~ m1_subset_1(esk595_0,k1_zfmisc_1(k2_zfmisc_1(esk592_0,esk593_0)))
    | ~ m1_subset_1(esk594_0,k1_zfmisc_1(k2_zfmisc_1(esk591_0,esk592_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4359,c_0_4360]),c_0_4352]),c_0_4352]) ).

cnf(c_0_4362,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_885 ).

cnf(c_0_4363,negated_conjecture,
    m2_relset_1(esk594_0,esk591_0,esk592_0),
    i_0_4335 ).

cnf(c_0_4364,plain,
    ( ~ m1_relset_1(esk595_0,esk592_0,esk593_0)
    | ~ v1_relat_1(k5_relat_1(esk594_0,esk595_0))
    | ~ m1_subset_1(esk595_0,k1_zfmisc_1(k2_zfmisc_1(esk592_0,esk593_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4361,c_0_4362]),c_0_4363])]) ).

cnf(c_0_4365,negated_conjecture,
    m2_relset_1(esk595_0,esk592_0,esk593_0),
    i_0_4334 ).

cnf(c_0_4366,plain,
    ( ~ m1_relset_1(esk595_0,esk592_0,esk593_0)
    | ~ v1_relat_1(k5_relat_1(esk594_0,esk595_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4364,c_0_4362]),c_0_4365])]) ).

cnf(c_0_4367,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_1782 ).

cnf(c_0_4368,plain,
    ~ v1_relat_1(k5_relat_1(esk594_0,esk595_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4366,c_0_4367]),c_0_4365])]) ).

cnf(c_0_4369,plain,
    ( v1_relat_1(k5_relat_1(X1,X2))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    i_0_841 ).

cnf(c_0_4370,plain,
    ( v1_relat_1(X1)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_4352,c_0_4362]) ).

cnf(c_0_4371,plain,
    ( ~ v1_relat_1(esk595_0)
    | ~ v1_relat_1(esk594_0) ),
    inference(spm,[status(thm)],[c_0_4368,c_0_4369]) ).

cnf(c_0_4372,negated_conjecture,
    v1_relat_1(esk595_0),
    inference(spm,[status(thm)],[c_0_4370,c_0_4365]) ).

cnf(c_0_4373,plain,
    ~ v1_relat_1(esk594_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4371,c_0_4372])]) ).

cnf(c_0_4374,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4370,c_0_4363]),c_0_4373]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU441+3 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n019.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 19 07:17:28 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.95/1.14  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.95/1.14  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.95/1.14  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.95/1.14  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 11.66/4.83  # ENIGMATIC: Solved by autoschedule-lgb:
% 11.66/4.83  # No SInE strategy applied
% 11.66/4.83  # Trying AutoSched0 for 149 seconds
% 11.66/4.83  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 11.66/4.83  # and selection function SelectComplexExceptUniqMaxHorn.
% 11.66/4.83  #
% 11.66/4.83  # Preprocessing time       : 0.027 s
% 11.66/4.83  # Presaturation interreduction done
% 11.66/4.83  
% 11.66/4.83  # Proof found!
% 11.66/4.83  # SZS status Theorem
% 11.66/4.83  # SZS output start CNFRefutation
% See solution above
% 11.66/4.83  # Training examples: 0 positive, 0 negative
% 11.66/4.83  
% 11.66/4.83  # -------------------------------------------------
% 11.66/4.83  # User time                : 0.064 s
% 11.66/4.83  # System time              : 0.008 s
% 11.66/4.83  # Total time               : 0.071 s
% 11.66/4.83  # Maximum resident set size: 7124 pages
% 11.66/4.83  
%------------------------------------------------------------------------------