TSTP Solution File: SEU449+1 by Enigma---0.5.1

View Problem - Process Solution

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

% Computer : n007.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 08:42:43 EDT 2022

% Result   : Theorem 7.86s 2.29s
% Output   : CNFRefutation 7.86s
% 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_75,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/sandbox/tmp/enigma-theBenchmark.p-mya_n5zr/input.p',i_0_75) ).

cnf(i_0_59,plain,
    r1_tarski(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mya_n5zr/input.p',i_0_59) ).

cnf(i_0_1,negated_conjecture,
    ( ~ r1_tarski(esk3_0,k8_relset_2(esk2_0,esk1_0,k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k6_relset_1(esk1_0,esk2_0,esk5_0)))
    | ~ r1_tarski(esk4_0,k8_relset_2(esk1_0,esk2_0,k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)),esk5_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mya_n5zr/input.p',i_0_1) ).

cnf(i_0_2,negated_conjecture,
    m2_relset_1(esk5_0,esk1_0,esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mya_n5zr/input.p',i_0_2) ).

cnf(i_0_3,negated_conjecture,
    m1_subset_1(esk4_0,k1_zfmisc_1(esk2_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mya_n5zr/input.p',i_0_3) ).

cnf(i_0_74,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/sandbox/tmp/enigma-theBenchmark.p-mya_n5zr/input.p',i_0_74) ).

cnf(i_0_4,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mya_n5zr/input.p',i_0_4) ).

cnf(i_0_68,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/sandbox/tmp/enigma-theBenchmark.p-mya_n5zr/input.p',i_0_68) ).

cnf(i_0_70,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mya_n5zr/input.p',i_0_70) ).

cnf(i_0_67,plain,
    ( m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
    | ~ m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mya_n5zr/input.p',i_0_67) ).

cnf(i_0_65,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mya_n5zr/input.p',i_0_65) ).

cnf(c_0_87,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_75 ).

cnf(c_0_88,plain,
    r1_tarski(X1,X1),
    i_0_59 ).

cnf(c_0_89,negated_conjecture,
    ( ~ r1_tarski(esk3_0,k8_relset_2(esk2_0,esk1_0,k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k6_relset_1(esk1_0,esk2_0,esk5_0)))
    | ~ r1_tarski(esk4_0,k8_relset_2(esk1_0,esk2_0,k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)),esk5_0)) ),
    i_0_1 ).

cnf(c_0_90,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_87,c_0_88]) ).

cnf(c_0_91,negated_conjecture,
    m2_relset_1(esk5_0,esk1_0,esk2_0),
    i_0_2 ).

cnf(c_0_92,negated_conjecture,
    m1_subset_1(esk4_0,k1_zfmisc_1(esk2_0)),
    i_0_3 ).

cnf(c_0_93,negated_conjecture,
    ( ~ m1_subset_1(k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)),k1_zfmisc_1(esk1_0))
    | ~ r1_tarski(esk3_0,k8_relset_2(esk2_0,esk1_0,k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k6_relset_1(esk1_0,esk2_0,esk5_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_92])]) ).

cnf(c_0_94,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_74 ).

cnf(c_0_95,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
    i_0_4 ).

cnf(c_0_96,plain,
    ( ~ m1_subset_1(k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)),k1_zfmisc_1(esk1_0))
    | ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_91]),c_0_95]),c_0_88])]) ).

cnf(c_0_97,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_68 ).

cnf(c_0_98,plain,
    ( ~ m1_subset_1(k6_relset_1(esk1_0,esk2_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0)))
    | ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_92])]) ).

cnf(c_0_99,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_70 ).

cnf(c_0_100,plain,
    ( ~ m2_relset_1(k6_relset_1(esk1_0,esk2_0,esk5_0),esk2_0,esk1_0)
    | ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0)) ),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_101,plain,
    ( m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
    | ~ m1_relset_1(X3,X1,X2) ),
    i_0_67 ).

cnf(c_0_102,plain,
    ( ~ m1_relset_1(esk5_0,esk1_0,esk2_0)
    | ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0)) ),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_103,plain,
    ( ~ m1_relset_1(esk5_0,esk1_0,esk2_0)
    | ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_97]),c_0_95])]) ).

cnf(c_0_104,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_65 ).

cnf(c_0_105,plain,
    ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_91])]) ).

cnf(c_0_106,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_99]),c_0_91])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU449+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 20 03:45:31 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 7.86/2.29  # ENIGMATIC: Solved by autoschedule:
% 7.86/2.29  # No SInE strategy applied
% 7.86/2.29  # Trying AutoSched0 for 150 seconds
% 7.86/2.29  # AutoSched0-Mode selected heuristic G_E___300_C18_F1_URBAN_S0Y
% 7.86/2.29  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.86/2.29  #
% 7.86/2.29  # Preprocessing time       : 0.049 s
% 7.86/2.29  
% 7.86/2.29  # Proof found!
% 7.86/2.29  # SZS status Theorem
% 7.86/2.29  # SZS output start CNFRefutation
% See solution above
% 7.86/2.29  # Training examples: 0 positive, 0 negative
% 7.86/2.29  
% 7.86/2.29  # -------------------------------------------------
% 7.86/2.29  # User time                : 0.057 s
% 7.86/2.29  # System time              : 0.008 s
% 7.86/2.29  # Total time               : 0.065 s
% 7.86/2.29  # Maximum resident set size: 7124 pages
% 7.86/2.29  
%------------------------------------------------------------------------------