TSTP Solution File: SEU425+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU425+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n009.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 08:42:17 EDT 2022

% Result   : Theorem 26.86s 5.83s
% Output   : CNFRefutation 26.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   49 (  13 unt;   0 nHn;  40 RR)
%            Number of literals    :  111 (   7 equ;  66 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-3 aty)
%            Number of variables   :   81 (  14 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1791,plain,
    ( r1_tarski(k2_relat_1(k5_relset_2(X1,X2)),k1_zfmisc_1(k2_relat_1(X2)))
    | ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X3))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1lpxxbj0/lgb.p',i_0_1791) ).

cnf(i_0_1823,negated_conjecture,
    m1_subset_1(esk325_0,k1_zfmisc_1(k2_zfmisc_1(esk323_0,esk324_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1lpxxbj0/lgb.p',i_0_1823) ).

cnf(i_0_1423,plain,
    ( m2_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X4)
    | ~ r1_tarski(k2_relat_1(X1),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1lpxxbj0/lgb.p',i_0_1423) ).

cnf(i_0_2443,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1lpxxbj0/lgb.p',i_0_2443) ).

cnf(i_0_2426,plain,
    ( m2_relset_1(X1,k1_relat_1(X1),k2_relat_1(X1))
    | ~ v1_relat_1(X1)
    | ~ v1_funct_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1lpxxbj0/lgb.p',i_0_2426) ).

cnf(i_0_329,plain,
    ( k1_relat_1(X1) = k1_zfmisc_1(X2)
    | X1 != k5_relset_2(X2,X3)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X1)
    | ~ v1_funct_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1lpxxbj0/lgb.p',i_0_329) ).

cnf(i_0_609,plain,
    ( v1_funct_1(k5_relset_2(X1,X2))
    | ~ v1_relat_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1lpxxbj0/lgb.p',i_0_609) ).

cnf(i_0_610,plain,
    ( v1_relat_1(k5_relset_2(X1,X2))
    | ~ v1_relat_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1lpxxbj0/lgb.p',i_0_610) ).

cnf(i_0_2440,plain,
    ( v1_relat_1(X1)
    | ~ v1_relat_1(X2)
    | ~ r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1lpxxbj0/lgb.p',i_0_2440) ).

cnf(i_0_715,plain,
    v1_relat_1(k2_zfmisc_1(X1,X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1lpxxbj0/lgb.p',i_0_715) ).

cnf(i_0_2720,plain,
    ( m2_relset_1(X1,X2,X3)
    | ~ r1_tarski(X1,X4)
    | ~ m2_relset_1(X4,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1lpxxbj0/lgb.p',i_0_2720) ).

cnf(i_0_971,plain,
    r1_tarski(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1lpxxbj0/lgb.p',i_0_971) ).

cnf(i_0_623,plain,
    ( v1_funct_1(k6_relset_2(X1,X2,X3))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1lpxxbj0/lgb.p',i_0_623) ).

cnf(i_0_957,plain,
    ( k6_relset_2(X1,X2,X3) = k5_relset_2(X2,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1lpxxbj0/lgb.p',i_0_957) ).

cnf(i_0_1822,negated_conjecture,
    ( ~ v1_funct_1(k5_relset_2(esk323_0,esk325_0))
    | ~ v1_funct_2(k5_relset_2(esk323_0,esk325_0),k1_zfmisc_1(esk323_0),k1_zfmisc_1(k2_relat_1(esk325_0)))
    | ~ m2_relset_1(k5_relset_2(esk323_0,esk325_0),k1_zfmisc_1(esk323_0),k1_zfmisc_1(k2_relat_1(esk325_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1lpxxbj0/lgb.p',i_0_1822) ).

cnf(i_0_2707,plain,
    ( v1_funct_2(X1,k1_relat_1(X1),X2)
    | ~ v1_relat_1(X1)
    | ~ v1_funct_1(X1)
    | ~ r1_tarski(k2_relat_1(X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1lpxxbj0/lgb.p',i_0_2707) ).

cnf(c_0_2737,plain,
    ( r1_tarski(k2_relat_1(k5_relset_2(X1,X2)),k1_zfmisc_1(k2_relat_1(X2)))
    | ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X3))) ),
    i_0_1791 ).

cnf(c_0_2738,negated_conjecture,
    m1_subset_1(esk325_0,k1_zfmisc_1(k2_zfmisc_1(esk323_0,esk324_0))),
    i_0_1823 ).

cnf(c_0_2739,plain,
    ( m2_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X4)
    | ~ r1_tarski(k2_relat_1(X1),X3) ),
    i_0_1423 ).

cnf(c_0_2740,negated_conjecture,
    r1_tarski(k2_relat_1(k5_relset_2(esk323_0,esk325_0)),k1_zfmisc_1(k2_relat_1(esk325_0))),
    inference(spm,[status(thm)],[c_0_2737,c_0_2738]) ).

cnf(c_0_2741,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    i_0_2443 ).

cnf(c_0_2742,negated_conjecture,
    ( m2_relset_1(k5_relset_2(esk323_0,esk325_0),X1,k1_zfmisc_1(k2_relat_1(esk325_0)))
    | ~ m2_relset_1(k5_relset_2(esk323_0,esk325_0),X1,X2) ),
    inference(spm,[status(thm)],[c_0_2739,c_0_2740]) ).

cnf(c_0_2743,plain,
    ( m2_relset_1(X1,k1_relat_1(X1),k2_relat_1(X1))
    | ~ v1_relat_1(X1)
    | ~ v1_funct_1(X1) ),
    i_0_2426 ).

cnf(c_0_2744,plain,
    ( k1_relat_1(X1) = k1_zfmisc_1(X2)
    | X1 != k5_relset_2(X2,X3)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X1)
    | ~ v1_funct_1(X1) ),
    i_0_329 ).

cnf(c_0_2745,plain,
    ( v1_funct_1(k5_relset_2(X1,X2))
    | ~ v1_relat_1(X2) ),
    i_0_609 ).

cnf(c_0_2746,plain,
    ( v1_relat_1(k5_relset_2(X1,X2))
    | ~ v1_relat_1(X2) ),
    i_0_610 ).

cnf(c_0_2747,plain,
    ( v1_relat_1(X1)
    | ~ v1_relat_1(X2)
    | ~ r1_tarski(X1,X2) ),
    i_0_2440 ).

cnf(c_0_2748,negated_conjecture,
    r1_tarski(esk325_0,k2_zfmisc_1(esk323_0,esk324_0)),
    inference(spm,[status(thm)],[c_0_2741,c_0_2738]) ).

cnf(c_0_2749,plain,
    v1_relat_1(k2_zfmisc_1(X1,X2)),
    i_0_715 ).

cnf(c_0_2750,plain,
    ( m2_relset_1(k5_relset_2(esk323_0,esk325_0),k1_relat_1(k5_relset_2(esk323_0,esk325_0)),k1_zfmisc_1(k2_relat_1(esk325_0)))
    | ~ v1_relat_1(k5_relset_2(esk323_0,esk325_0))
    | ~ v1_funct_1(k5_relset_2(esk323_0,esk325_0)) ),
    inference(spm,[status(thm)],[c_0_2742,c_0_2743]) ).

cnf(c_0_2751,plain,
    ( k1_relat_1(k5_relset_2(X1,X2)) = k1_zfmisc_1(X1)
    | ~ v1_relat_1(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_2744]),c_0_2745]),c_0_2746]) ).

cnf(c_0_2752,plain,
    v1_relat_1(esk325_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2747,c_0_2748]),c_0_2749])]) ).

cnf(c_0_2753,plain,
    ( m2_relset_1(X1,X2,X3)
    | ~ r1_tarski(X1,X4)
    | ~ m2_relset_1(X4,X2,X3) ),
    i_0_2720 ).

cnf(c_0_2754,plain,
    ( m2_relset_1(k5_relset_2(esk323_0,esk325_0),k1_zfmisc_1(esk323_0),k1_zfmisc_1(k2_relat_1(esk325_0)))
    | ~ v1_relat_1(k5_relset_2(esk323_0,esk325_0))
    | ~ v1_funct_1(k5_relset_2(esk323_0,esk325_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2750,c_0_2751]),c_0_2752])]) ).

cnf(c_0_2755,plain,
    ( m2_relset_1(X1,k1_zfmisc_1(esk323_0),k1_zfmisc_1(k2_relat_1(esk325_0)))
    | ~ v1_relat_1(k5_relset_2(esk323_0,esk325_0))
    | ~ r1_tarski(X1,k5_relset_2(esk323_0,esk325_0))
    | ~ v1_funct_1(k5_relset_2(esk323_0,esk325_0)) ),
    inference(spm,[status(thm)],[c_0_2753,c_0_2754]) ).

cnf(c_0_2756,plain,
    ( m2_relset_1(X1,k1_zfmisc_1(esk323_0),k1_zfmisc_1(k2_relat_1(esk325_0)))
    | ~ r1_tarski(X1,k5_relset_2(esk323_0,esk325_0))
    | ~ v1_funct_1(k5_relset_2(esk323_0,esk325_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2755,c_0_2746]),c_0_2752])]) ).

cnf(c_0_2757,plain,
    ( m2_relset_1(X1,k1_zfmisc_1(esk323_0),k1_zfmisc_1(k2_relat_1(esk325_0)))
    | ~ r1_tarski(X1,k5_relset_2(esk323_0,esk325_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2756,c_0_2745]),c_0_2752])]) ).

cnf(c_0_2758,plain,
    r1_tarski(X1,X1),
    i_0_971 ).

cnf(c_0_2759,plain,
    ( v1_funct_1(k6_relset_2(X1,X2,X3))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
    i_0_623 ).

cnf(c_0_2760,plain,
    ( k6_relset_2(X1,X2,X3) = k5_relset_2(X2,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
    i_0_957 ).

cnf(c_0_2761,negated_conjecture,
    ( ~ v1_funct_1(k5_relset_2(esk323_0,esk325_0))
    | ~ v1_funct_2(k5_relset_2(esk323_0,esk325_0),k1_zfmisc_1(esk323_0),k1_zfmisc_1(k2_relat_1(esk325_0)))
    | ~ m2_relset_1(k5_relset_2(esk323_0,esk325_0),k1_zfmisc_1(esk323_0),k1_zfmisc_1(k2_relat_1(esk325_0))) ),
    i_0_1822 ).

cnf(c_0_2762,plain,
    m2_relset_1(k5_relset_2(esk323_0,esk325_0),k1_zfmisc_1(esk323_0),k1_zfmisc_1(k2_relat_1(esk325_0))),
    inference(spm,[status(thm)],[c_0_2757,c_0_2758]) ).

cnf(c_0_2763,plain,
    ( v1_funct_1(k5_relset_2(X1,X2))
    | ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_2759,c_0_2760]) ).

cnf(c_0_2764,negated_conjecture,
    ( ~ v1_funct_2(k5_relset_2(esk323_0,esk325_0),k1_zfmisc_1(esk323_0),k1_zfmisc_1(k2_relat_1(esk325_0)))
    | ~ v1_funct_1(k5_relset_2(esk323_0,esk325_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2761,c_0_2762])]) ).

cnf(c_0_2765,negated_conjecture,
    v1_funct_1(k5_relset_2(esk323_0,esk325_0)),
    inference(spm,[status(thm)],[c_0_2763,c_0_2738]) ).

cnf(c_0_2766,plain,
    ( v1_funct_2(X1,k1_relat_1(X1),X2)
    | ~ v1_relat_1(X1)
    | ~ v1_funct_1(X1)
    | ~ r1_tarski(k2_relat_1(X1),X2) ),
    i_0_2707 ).

cnf(c_0_2767,negated_conjecture,
    ~ v1_funct_2(k5_relset_2(esk323_0,esk325_0),k1_zfmisc_1(esk323_0),k1_zfmisc_1(k2_relat_1(esk325_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2764,c_0_2765])]) ).

cnf(c_0_2768,plain,
    ( v1_funct_2(k5_relset_2(X1,X2),k1_zfmisc_1(X1),X3)
    | ~ v1_relat_1(X2)
    | ~ r1_tarski(k2_relat_1(k5_relset_2(X1,X2)),X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2766,c_0_2751]),c_0_2745]),c_0_2746]) ).

cnf(c_0_2769,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2767,c_0_2768]),c_0_2752]),c_0_2740])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SEU425+2 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jun 20 13:07:39 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.46/0.63  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.63  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.46/0.63  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.46/0.63  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 26.86/5.83  # ENIGMATIC: Solved by autoschedule-lgb:
% 26.86/5.83  # No SInE strategy applied
% 26.86/5.83  # Trying AutoSched0 for 150 seconds
% 26.86/5.83  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 26.86/5.83  # and selection function SelectComplexExceptUniqMaxHorn.
% 26.86/5.83  #
% 26.86/5.83  # Preprocessing time       : 0.018 s
% 26.86/5.83  # Presaturation interreduction done
% 26.86/5.83  
% 26.86/5.83  # Proof found!
% 26.86/5.83  # SZS status Theorem
% 26.86/5.83  # SZS output start CNFRefutation
% See solution above
% 26.86/5.83  # Training examples: 0 positive, 0 negative
% 26.86/5.83  
% 26.86/5.83  # -------------------------------------------------
% 26.86/5.83  # User time                : 2.192 s
% 26.86/5.83  # System time              : 0.042 s
% 26.86/5.83  # Total time               : 2.234 s
% 26.86/5.83  # Maximum resident set size: 7132 pages
% 26.86/5.83  
%------------------------------------------------------------------------------