TSTP Solution File: SET679+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET679+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 00:13:24 EDT 2022

% Result   : Theorem 8.41s 2.54s
% Output   : CNFRefutation 8.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   21 (  10 unt;   6 nHn;  17 RR)
%            Number of literals    :   42 (   4 equ;  23 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   21 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_15,plain,
    ( X1 = X2
    | not_equal(X1,X2)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-81y5gkgg/input.p',i_0_15) ).

cnf(i_0_46,plain,
    ilf_type(X1,set_type),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-81y5gkgg/input.p',i_0_46) ).

cnf(i_0_2,plain,
    ( member(ordered_pair(X1,X1),identity_relation_of(X2))
    | ~ member(X1,X2)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-81y5gkgg/input.p',i_0_2) ).

cnf(i_0_47,negated_conjecture,
    ~ not_equal(identity_relation_of(esk10_0),empty_set),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-81y5gkgg/input.p',i_0_47) ).

cnf(i_0_3,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ member(X1,empty_set) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-81y5gkgg/input.p',i_0_3) ).

cnf(i_0_17,plain,
    ( empty(X1)
    | member(esk2_1(X1),X1)
    | ~ ilf_type(X1,set_type) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-81y5gkgg/input.p',i_0_17) ).

cnf(i_0_49,negated_conjecture,
    ~ empty(esk10_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-81y5gkgg/input.p',i_0_49) ).

cnf(c_0_57,plain,
    ( X1 = X2
    | not_equal(X1,X2)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    i_0_15 ).

cnf(c_0_58,plain,
    ilf_type(X1,set_type),
    i_0_46 ).

cnf(c_0_59,plain,
    ( member(ordered_pair(X1,X1),identity_relation_of(X2))
    | ~ member(X1,X2)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    i_0_2 ).

cnf(c_0_60,negated_conjecture,
    ~ not_equal(identity_relation_of(esk10_0),empty_set),
    i_0_47 ).

cnf(c_0_61,plain,
    ( X1 = X2
    | not_equal(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58]),c_0_58])]) ).

cnf(c_0_62,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ member(X1,empty_set) ),
    i_0_3 ).

cnf(c_0_63,plain,
    ( empty(X1)
    | member(esk2_1(X1),X1)
    | ~ ilf_type(X1,set_type) ),
    i_0_17 ).

cnf(c_0_64,plain,
    ( member(ordered_pair(X1,X1),identity_relation_of(X2))
    | ~ member(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_58]),c_0_58])]) ).

cnf(c_0_65,negated_conjecture,
    identity_relation_of(esk10_0) = empty_set,
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_66,plain,
    ~ member(X1,empty_set),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_58])]) ).

cnf(c_0_67,negated_conjecture,
    ~ empty(esk10_0),
    i_0_49 ).

cnf(c_0_68,plain,
    ( member(esk2_1(X1),X1)
    | empty(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_58])]) ).

cnf(c_0_69,plain,
    ~ member(X1,esk10_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).

cnf(c_0_70,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SET679+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n010.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 : Sun Jul 10 16:04:47 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  # ENIGMATIC: Selected complete mode:
% 8.41/2.54  # ENIGMATIC: Solved by autoschedule:
% 8.41/2.54  # No SInE strategy applied
% 8.41/2.54  # Trying AutoSched0 for 150 seconds
% 8.41/2.54  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y
% 8.41/2.54  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.41/2.54  #
% 8.41/2.54  # Preprocessing time       : 0.024 s
% 8.41/2.54  # Presaturation interreduction done
% 8.41/2.54  
% 8.41/2.54  # Proof found!
% 8.41/2.54  # SZS status Theorem
% 8.41/2.54  # SZS output start CNFRefutation
% See solution above
% 8.41/2.54  # Training examples: 0 positive, 0 negative
% 8.41/2.54  
% 8.41/2.54  # -------------------------------------------------
% 8.41/2.54  # User time                : 0.028 s
% 8.41/2.54  # System time              : 0.007 s
% 8.41/2.54  # Total time               : 0.035 s
% 8.41/2.54  # Maximum resident set size: 7124 pages
% 8.41/2.54  
%------------------------------------------------------------------------------