TSTP Solution File: SEU441+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU441+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 08:42:35 EDT 2022

% Result   : Theorem 12.63s 7.08s
% Output   : CNFRefutation 12.63s
% 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    :   95 (  16 equ;  70 neg)
%            Maximal clause size   :    5 (   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_4487,negated_conjecture,
    ( k2_funct_5(k9_relset_2(esk657_0,esk658_0,esk659_0,esk660_0,esk661_0)) != k10_relset_1(esk658_0,esk659_0,esk661_0,k2_funct_5(esk660_0))
    | ~ r1_tarski(k2_funct_5(k9_relset_2(esk657_0,esk658_0,esk659_0,esk660_0,esk661_0)),k2_funct_5(esk661_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ghv_nt1s/lgb.p',i_0_4487) ).

cnf(i_0_2526,plain,
    ( k2_funct_5(X1) = k2_relat_1(X1)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ghv_nt1s/lgb.p',i_0_2526) ).

cnf(i_0_1122,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-ghv_nt1s/lgb.p',i_0_1122) ).

cnf(i_0_33,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-ghv_nt1s/lgb.p',i_0_33) ).

cnf(i_0_4073,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-ghv_nt1s/lgb.p',i_0_4073) ).

cnf(i_0_1100,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-ghv_nt1s/lgb.p',i_0_1100) ).

cnf(i_0_1852,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-ghv_nt1s/lgb.p',i_0_1852) ).

cnf(i_0_603,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-ghv_nt1s/lgb.p',i_0_603) ).

cnf(i_0_4489,negated_conjecture,
    m2_relset_1(esk660_0,esk657_0,esk658_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ghv_nt1s/lgb.p',i_0_4489) ).

cnf(i_0_4488,negated_conjecture,
    m2_relset_1(esk661_0,esk658_0,esk659_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ghv_nt1s/lgb.p',i_0_4488) ).

cnf(i_0_1124,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ghv_nt1s/lgb.p',i_0_1124) ).

cnf(i_0_581,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-ghv_nt1s/lgb.p',i_0_581) ).

cnf(c_0_4502,negated_conjecture,
    ( k2_funct_5(k9_relset_2(esk657_0,esk658_0,esk659_0,esk660_0,esk661_0)) != k10_relset_1(esk658_0,esk659_0,esk661_0,k2_funct_5(esk660_0))
    | ~ r1_tarski(k2_funct_5(k9_relset_2(esk657_0,esk658_0,esk659_0,esk660_0,esk661_0)),k2_funct_5(esk661_0)) ),
    i_0_4487 ).

cnf(c_0_4503,plain,
    ( k2_funct_5(X1) = k2_relat_1(X1)
    | ~ v1_relat_1(X1) ),
    i_0_2526 ).

cnf(c_0_4504,negated_conjecture,
    ( k2_funct_5(k9_relset_2(esk657_0,esk658_0,esk659_0,esk660_0,esk661_0)) != k10_relset_1(esk658_0,esk659_0,esk661_0,k2_funct_5(esk660_0))
    | ~ v1_relat_1(esk661_0)
    | ~ r1_tarski(k2_funct_5(k9_relset_2(esk657_0,esk658_0,esk659_0,esk660_0,esk661_0)),k2_relat_1(esk661_0)) ),
    inference(spm,[status(thm)],[c_0_4502,c_0_4503]) ).

cnf(c_0_4505,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_1122 ).

cnf(c_0_4506,plain,
    ( v1_relat_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    i_0_33 ).

cnf(c_0_4507,negated_conjecture,
    ( k10_relset_1(esk658_0,esk659_0,esk661_0,k2_funct_5(esk660_0)) != k2_funct_5(k5_relat_1(esk660_0,esk661_0))
    | ~ m1_subset_1(esk661_0,k1_zfmisc_1(k2_zfmisc_1(esk658_0,esk659_0)))
    | ~ m1_subset_1(esk660_0,k1_zfmisc_1(k2_zfmisc_1(esk657_0,esk658_0)))
    | ~ r1_tarski(k2_funct_5(k5_relat_1(esk660_0,esk661_0)),k2_relat_1(esk661_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4504,c_0_4505]),c_0_4506]) ).

cnf(c_0_4508,plain,
    ( k10_relset_1(esk658_0,esk659_0,esk661_0,k2_funct_5(esk660_0)) != k2_relat_1(k5_relat_1(esk660_0,esk661_0))
    | ~ v1_relat_1(k5_relat_1(esk660_0,esk661_0))
    | ~ m1_subset_1(esk661_0,k1_zfmisc_1(k2_zfmisc_1(esk658_0,esk659_0)))
    | ~ m1_subset_1(esk660_0,k1_zfmisc_1(k2_zfmisc_1(esk657_0,esk658_0)))
    | ~ r1_tarski(k2_relat_1(k5_relat_1(esk660_0,esk661_0)),k2_relat_1(esk661_0)) ),
    inference(spm,[status(thm)],[c_0_4507,c_0_4503]) ).

cnf(c_0_4509,plain,
    ( k10_relset_1(esk658_0,esk659_0,esk661_0,k2_relat_1(esk660_0)) != k2_relat_1(k5_relat_1(esk660_0,esk661_0))
    | ~ v1_relat_1(k5_relat_1(esk660_0,esk661_0))
    | ~ m1_subset_1(esk661_0,k1_zfmisc_1(k2_zfmisc_1(esk658_0,esk659_0)))
    | ~ m1_subset_1(esk660_0,k1_zfmisc_1(k2_zfmisc_1(esk657_0,esk658_0)))
    | ~ r1_tarski(k2_relat_1(k5_relat_1(esk660_0,esk661_0)),k2_relat_1(esk661_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4508,c_0_4503]),c_0_4506]) ).

cnf(c_0_4510,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_4073 ).

cnf(c_0_4511,plain,
    ( k10_relset_1(esk658_0,esk659_0,esk661_0,k2_relat_1(esk660_0)) != k2_relat_1(k5_relat_1(esk660_0,esk661_0))
    | ~ v1_relat_1(k5_relat_1(esk660_0,esk661_0))
    | ~ m1_subset_1(esk661_0,k1_zfmisc_1(k2_zfmisc_1(esk658_0,esk659_0)))
    | ~ m1_subset_1(esk660_0,k1_zfmisc_1(k2_zfmisc_1(esk657_0,esk658_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4509,c_0_4510]),c_0_4506]),c_0_4506]) ).

cnf(c_0_4512,plain,
    ( k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4)
    | ~ m1_relset_1(X3,X1,X2) ),
    i_0_1100 ).

cnf(c_0_4513,plain,
    ( k2_relat_1(k5_relat_1(esk660_0,esk661_0)) != k9_relat_1(esk661_0,k2_relat_1(esk660_0))
    | ~ m1_relset_1(esk661_0,esk658_0,esk659_0)
    | ~ v1_relat_1(k5_relat_1(esk660_0,esk661_0))
    | ~ m1_subset_1(esk661_0,k1_zfmisc_1(k2_zfmisc_1(esk658_0,esk659_0)))
    | ~ m1_subset_1(esk660_0,k1_zfmisc_1(k2_zfmisc_1(esk657_0,esk658_0))) ),
    inference(spm,[status(thm)],[c_0_4511,c_0_4512]) ).

cnf(c_0_4514,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_1852 ).

cnf(c_0_4515,plain,
    ( ~ m1_relset_1(esk661_0,esk658_0,esk659_0)
    | ~ v1_relat_1(k5_relat_1(esk660_0,esk661_0))
    | ~ m1_subset_1(esk661_0,k1_zfmisc_1(k2_zfmisc_1(esk658_0,esk659_0)))
    | ~ m1_subset_1(esk660_0,k1_zfmisc_1(k2_zfmisc_1(esk657_0,esk658_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4513,c_0_4514]),c_0_4506]),c_0_4506]) ).

cnf(c_0_4516,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_603 ).

cnf(c_0_4517,negated_conjecture,
    m2_relset_1(esk660_0,esk657_0,esk658_0),
    i_0_4489 ).

cnf(c_0_4518,plain,
    ( ~ m1_relset_1(esk661_0,esk658_0,esk659_0)
    | ~ v1_relat_1(k5_relat_1(esk660_0,esk661_0))
    | ~ m1_subset_1(esk661_0,k1_zfmisc_1(k2_zfmisc_1(esk658_0,esk659_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4515,c_0_4516]),c_0_4517])]) ).

cnf(c_0_4519,negated_conjecture,
    m2_relset_1(esk661_0,esk658_0,esk659_0),
    i_0_4488 ).

cnf(c_0_4520,plain,
    ( ~ m1_relset_1(esk661_0,esk658_0,esk659_0)
    | ~ v1_relat_1(k5_relat_1(esk660_0,esk661_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4518,c_0_4516]),c_0_4519])]) ).

cnf(c_0_4521,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_1124 ).

cnf(c_0_4522,plain,
    ~ v1_relat_1(k5_relat_1(esk660_0,esk661_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4520,c_0_4521]),c_0_4519])]) ).

cnf(c_0_4523,plain,
    ( v1_relat_1(k5_relat_1(X1,X2))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    i_0_581 ).

cnf(c_0_4524,plain,
    ( v1_relat_1(X1)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_4506,c_0_4516]) ).

cnf(c_0_4525,plain,
    ( ~ v1_relat_1(esk661_0)
    | ~ v1_relat_1(esk660_0) ),
    inference(spm,[status(thm)],[c_0_4522,c_0_4523]) ).

cnf(c_0_4526,negated_conjecture,
    v1_relat_1(esk661_0),
    inference(spm,[status(thm)],[c_0_4524,c_0_4519]) ).

cnf(c_0_4527,plain,
    ~ v1_relat_1(esk660_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4525,c_0_4526])]) ).

cnf(c_0_4528,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4524,c_0_4517]),c_0_4527]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU441+4 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n017.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 : Mon Jun 20 03:13:26 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 3.04/3.21  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.04/3.21  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 3.04/3.21  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 3.04/3.21  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 12.63/7.08  # ENIGMATIC: Solved by autoschedule-lgb:
% 12.63/7.08  # No SInE strategy applied
% 12.63/7.08  # Trying AutoSched0 for 148 seconds
% 12.63/7.08  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 12.63/7.08  # and selection function SelectComplexExceptUniqMaxHorn.
% 12.63/7.08  #
% 12.63/7.08  # Preprocessing time       : 0.026 s
% 12.63/7.08  # Presaturation interreduction done
% 12.63/7.08  
% 12.63/7.08  # Proof found!
% 12.63/7.08  # SZS status Theorem
% 12.63/7.08  # SZS output start CNFRefutation
% See solution above
% 12.63/7.08  # Training examples: 0 positive, 0 negative
% 12.63/7.08  
% 12.63/7.08  # -------------------------------------------------
% 12.63/7.08  # User time                : 0.057 s
% 12.63/7.08  # System time              : 0.008 s
% 12.63/7.08  # Total time               : 0.065 s
% 12.63/7.08  # Maximum resident set size: 7124 pages
% 12.63/7.08  
%------------------------------------------------------------------------------