TSTP Solution File: SEU375+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU375+1 : TPTP v8.1.0. Released v3.3.0.
% 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 08:41:39 EDT 2022

% Result   : Theorem 8.39s 2.41s
% Output   : CNFRefutation 8.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   61 (  38 unt;   4 nHn;  61 RR)
%            Number of literals    :  138 (   8 equ;  79 neg)
%            Maximal clause size   :   13 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-1 aty)
%            Number of variables   :   51 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_70,plain,
    ( related(X1,X2,X3)
    | X4 != X3
    | X5 != X2
    | ~ rel_str(X6)
    | ~ full_subrelstr(X1,X6)
    | ~ subrelstr(X1,X6)
    | ~ related(X6,X5,X4)
    | ~ in(X3,the_carrier(X1))
    | ~ in(X2,the_carrier(X1))
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1))
    | ~ element(X4,the_carrier(X6))
    | ~ element(X5,the_carrier(X6)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_70) ).

cnf(i_0_54,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_54) ).

cnf(i_0_56,negated_conjecture,
    related(esk17_0,esk19_0,esk20_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_56) ).

cnf(i_0_57,negated_conjecture,
    esk20_0 = esk22_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_57) ).

cnf(i_0_15,plain,
    ( rel_str(X1)
    | ~ one_sorted_str(X2)
    | ~ net_str(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_15) ).

cnf(i_0_66,negated_conjecture,
    net_str(esk17_0,esk16_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_66) ).

cnf(i_0_68,negated_conjecture,
    one_sorted_str(esk16_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_68) ).

cnf(i_0_61,negated_conjecture,
    element(esk20_0,the_carrier(esk17_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_61) ).

cnf(i_0_62,negated_conjecture,
    element(esk19_0,the_carrier(esk17_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_62) ).

cnf(i_0_11,plain,
    ( full_subrelstr(X1,X2)
    | ~ one_sorted_str(X3)
    | ~ net_str(X2,X3)
    | ~ subnetstr(X1,X3,X2)
    | ~ full_subnetstr(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_11) ).

cnf(i_0_64,negated_conjecture,
    full_subnetstr(esk18_0,esk16_0,esk17_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_64) ).

cnf(i_0_63,negated_conjecture,
    subnetstr(esk18_0,esk16_0,esk17_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_63) ).

cnf(i_0_10,plain,
    ( subrelstr(X1,X2)
    | ~ one_sorted_str(X3)
    | ~ net_str(X2,X3)
    | ~ subnetstr(X1,X3,X2)
    | ~ full_subnetstr(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_10) ).

cnf(i_0_55,negated_conjecture,
    ~ related(esk18_0,esk21_0,esk22_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_55) ).

cnf(i_0_58,negated_conjecture,
    esk21_0 = esk19_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_58) ).

cnf(i_0_60,negated_conjecture,
    element(esk21_0,the_carrier(esk18_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_60) ).

cnf(i_0_18,plain,
    ( net_str(X1,X2)
    | ~ one_sorted_str(X2)
    | ~ net_str(X3,X2)
    | ~ subnetstr(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_18) ).

cnf(i_0_69,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_69) ).

cnf(i_0_59,negated_conjecture,
    element(esk22_0,the_carrier(esk18_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_59) ).

cnf(i_0_13,plain,
    ( one_sorted_str(X1)
    | ~ rel_str(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_13) ).

cnf(i_0_29,plain,
    ( empty_carrier(X1)
    | ~ one_sorted_str(X1)
    | ~ empty(the_carrier(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_29) ).

cnf(i_0_65,negated_conjecture,
    ~ empty_carrier(esk18_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l8g6yq1v/lgb.p',i_0_65) ).

cnf(c_0_93,plain,
    ( related(X1,X2,X3)
    | X4 != X3
    | X5 != X2
    | ~ rel_str(X6)
    | ~ full_subrelstr(X1,X6)
    | ~ subrelstr(X1,X6)
    | ~ related(X6,X5,X4)
    | ~ in(X3,the_carrier(X1))
    | ~ in(X2,the_carrier(X1))
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1))
    | ~ element(X4,the_carrier(X6))
    | ~ element(X5,the_carrier(X6)) ),
    i_0_70 ).

cnf(c_0_94,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    i_0_54 ).

cnf(c_0_95,negated_conjecture,
    related(esk17_0,esk19_0,esk20_0),
    i_0_56 ).

cnf(c_0_96,negated_conjecture,
    esk20_0 = esk22_0,
    i_0_57 ).

cnf(c_0_97,plain,
    ( rel_str(X1)
    | ~ one_sorted_str(X2)
    | ~ net_str(X1,X2) ),
    i_0_15 ).

cnf(c_0_98,negated_conjecture,
    net_str(esk17_0,esk16_0),
    i_0_66 ).

cnf(c_0_99,negated_conjecture,
    one_sorted_str(esk16_0),
    i_0_68 ).

cnf(c_0_100,negated_conjecture,
    element(esk20_0,the_carrier(esk17_0)),
    i_0_61 ).

cnf(c_0_101,plain,
    ( related(X1,X2,X3)
    | ~ in(X3,the_carrier(X1))
    | ~ in(X2,the_carrier(X1))
    | ~ subrelstr(X1,X4)
    | ~ full_subrelstr(X1,X4)
    | ~ rel_str(X4)
    | ~ related(X4,X2,X3)
    | ~ element(X2,the_carrier(X4))
    | ~ element(X3,the_carrier(X4)) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_93,c_0_94]),c_0_94])])]) ).

cnf(c_0_102,negated_conjecture,
    related(esk17_0,esk19_0,esk22_0),
    inference(rw,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_103,negated_conjecture,
    rel_str(esk17_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99])]) ).

cnf(c_0_104,negated_conjecture,
    element(esk19_0,the_carrier(esk17_0)),
    i_0_62 ).

cnf(c_0_105,negated_conjecture,
    element(esk22_0,the_carrier(esk17_0)),
    inference(rw,[status(thm)],[c_0_100,c_0_96]) ).

cnf(c_0_106,plain,
    ( full_subrelstr(X1,X2)
    | ~ one_sorted_str(X3)
    | ~ net_str(X2,X3)
    | ~ subnetstr(X1,X3,X2)
    | ~ full_subnetstr(X1,X3,X2) ),
    i_0_11 ).

cnf(c_0_107,negated_conjecture,
    full_subnetstr(esk18_0,esk16_0,esk17_0),
    i_0_64 ).

cnf(c_0_108,negated_conjecture,
    subnetstr(esk18_0,esk16_0,esk17_0),
    i_0_63 ).

cnf(c_0_109,plain,
    ( subrelstr(X1,X2)
    | ~ one_sorted_str(X3)
    | ~ net_str(X2,X3)
    | ~ subnetstr(X1,X3,X2)
    | ~ full_subnetstr(X1,X3,X2) ),
    i_0_10 ).

cnf(c_0_110,negated_conjecture,
    ~ related(esk18_0,esk21_0,esk22_0),
    i_0_55 ).

cnf(c_0_111,negated_conjecture,
    esk21_0 = esk19_0,
    i_0_58 ).

cnf(c_0_112,negated_conjecture,
    element(esk21_0,the_carrier(esk18_0)),
    i_0_60 ).

cnf(c_0_113,plain,
    ( net_str(X1,X2)
    | ~ one_sorted_str(X2)
    | ~ net_str(X3,X2)
    | ~ subnetstr(X1,X2,X3) ),
    i_0_18 ).

cnf(c_0_114,negated_conjecture,
    ( related(X1,esk19_0,esk22_0)
    | ~ in(esk22_0,the_carrier(X1))
    | ~ in(esk19_0,the_carrier(X1))
    | ~ subrelstr(X1,esk17_0)
    | ~ full_subrelstr(X1,esk17_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]),c_0_104]),c_0_105])]) ).

cnf(c_0_115,negated_conjecture,
    full_subrelstr(esk18_0,esk17_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_99]),c_0_98]),c_0_108])]) ).

cnf(c_0_116,negated_conjecture,
    subrelstr(esk18_0,esk17_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_107]),c_0_99]),c_0_98]),c_0_108])]) ).

cnf(c_0_117,negated_conjecture,
    ~ related(esk18_0,esk19_0,esk22_0),
    inference(rw,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_118,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    i_0_69 ).

cnf(c_0_119,negated_conjecture,
    element(esk22_0,the_carrier(esk18_0)),
    i_0_59 ).

cnf(c_0_120,negated_conjecture,
    element(esk19_0,the_carrier(esk18_0)),
    inference(rw,[status(thm)],[c_0_112,c_0_111]) ).

cnf(c_0_121,negated_conjecture,
    net_str(esk18_0,esk16_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_108]),c_0_99]),c_0_98])]) ).

cnf(c_0_122,negated_conjecture,
    ( ~ in(esk22_0,the_carrier(esk18_0))
    | ~ in(esk19_0,the_carrier(esk18_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116])]),c_0_117]) ).

cnf(c_0_123,negated_conjecture,
    ( empty(the_carrier(esk18_0))
    | in(esk22_0,the_carrier(esk18_0)) ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_124,negated_conjecture,
    ( empty(the_carrier(esk18_0))
    | in(esk19_0,the_carrier(esk18_0)) ),
    inference(spm,[status(thm)],[c_0_118,c_0_120]) ).

cnf(c_0_125,plain,
    ( one_sorted_str(X1)
    | ~ rel_str(X1) ),
    i_0_13 ).

cnf(c_0_126,plain,
    rel_str(esk18_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_121]),c_0_99])]) ).

cnf(c_0_127,plain,
    ( empty_carrier(X1)
    | ~ one_sorted_str(X1)
    | ~ empty(the_carrier(X1)) ),
    i_0_29 ).

cnf(c_0_128,negated_conjecture,
    empty(the_carrier(esk18_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]) ).

cnf(c_0_129,plain,
    one_sorted_str(esk18_0),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_130,negated_conjecture,
    ~ empty_carrier(esk18_0),
    i_0_65 ).

cnf(c_0_131,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129])]),c_0_130]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU375+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % 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 : Mon Jun 20 11:53:09 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 8.39/2.41  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.39/2.41  # No SInE strategy applied
% 8.39/2.41  # Trying AutoSched0 for 150 seconds
% 8.39/2.41  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S085I
% 8.39/2.41  # and selection function SelectCQArNp.
% 8.39/2.41  #
% 8.39/2.41  # Preprocessing time       : 0.024 s
% 8.39/2.41  # Presaturation interreduction done
% 8.39/2.41  
% 8.39/2.41  # Proof found!
% 8.39/2.41  # SZS status Theorem
% 8.39/2.41  # SZS output start CNFRefutation
% See solution above
% 8.39/2.41  # Training examples: 0 positive, 0 negative
% 8.39/2.41  
% 8.39/2.41  # -------------------------------------------------
% 8.39/2.41  # User time                : 0.028 s
% 8.39/2.41  # System time              : 0.009 s
% 8.39/2.41  # Total time               : 0.037 s
% 8.39/2.41  # Maximum resident set size: 7128 pages
% 8.39/2.41  
%------------------------------------------------------------------------------