TSTP Solution File: SET596+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET596+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 00:12:34 EDT 2022

% Result   : Theorem 7.51s 2.31s
% Output   : CNFRefutation 7.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   27 (  15 unt;   4 nHn;  17 RR)
%            Number of literals    :   42 (  10 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   31 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_16,plain,
    ( ~ empty(X1)
    | ~ member(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pdgieytg/lgb.p',i_0_16) ).

cnf(i_0_8,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pdgieytg/lgb.p',i_0_8) ).

cnf(i_0_2,plain,
    ( subset(intersection(X1,X2),intersection(X3,X2))
    | ~ subset(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pdgieytg/lgb.p',i_0_2) ).

cnf(i_0_23,negated_conjecture,
    subset(esk4_0,esk5_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pdgieytg/lgb.p',i_0_23) ).

cnf(i_0_10,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pdgieytg/lgb.p',i_0_10) ).

cnf(i_0_22,negated_conjecture,
    intersection(esk5_0,esk6_0) = empty_set,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pdgieytg/lgb.p',i_0_22) ).

cnf(i_0_13,plain,
    intersection(X1,X2) = intersection(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pdgieytg/lgb.p',i_0_13) ).

cnf(i_0_3,plain,
    ~ member(X1,empty_set),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pdgieytg/lgb.p',i_0_3) ).

cnf(i_0_15,plain,
    ( empty(X1)
    | member(esk2_1(X1),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pdgieytg/lgb.p',i_0_15) ).

cnf(i_0_21,negated_conjecture,
    intersection(esk4_0,esk6_0) != empty_set,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pdgieytg/lgb.p',i_0_21) ).

cnf(c_0_34,plain,
    ( ~ empty(X1)
    | ~ member(X2,X1) ),
    i_0_16 ).

cnf(c_0_35,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    i_0_8 ).

cnf(c_0_36,plain,
    ( subset(intersection(X1,X2),intersection(X3,X2))
    | ~ subset(X1,X3) ),
    i_0_2 ).

cnf(c_0_37,negated_conjecture,
    subset(esk4_0,esk5_0),
    i_0_23 ).

cnf(c_0_38,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    i_0_10 ).

cnf(c_0_39,plain,
    ( subset(X1,X2)
    | ~ empty(X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_40,negated_conjecture,
    subset(intersection(esk4_0,X1),intersection(esk5_0,X1)),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_41,negated_conjecture,
    intersection(esk5_0,esk6_0) = empty_set,
    i_0_22 ).

cnf(c_0_42,plain,
    intersection(X1,X2) = intersection(X2,X1),
    i_0_13 ).

cnf(c_0_43,plain,
    ~ member(X1,empty_set),
    i_0_3 ).

cnf(c_0_44,plain,
    ( empty(X1)
    | member(esk2_1(X1),X1) ),
    i_0_15 ).

cnf(c_0_45,negated_conjecture,
    intersection(esk4_0,esk6_0) != empty_set,
    i_0_21 ).

cnf(c_0_46,plain,
    ( X1 = X2
    | ~ empty(X2)
    | ~ subset(X1,X2) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_47,negated_conjecture,
    subset(intersection(esk6_0,esk4_0),empty_set),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).

cnf(c_0_48,plain,
    empty(empty_set),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_49,negated_conjecture,
    intersection(esk6_0,esk4_0) != empty_set,
    inference(rw,[status(thm)],[c_0_45,c_0_42]) ).

cnf(c_0_50,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]),c_0_49]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET596+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n013.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 : Sun Jul 10 19:13:16 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 7.51/2.31  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.51/2.31  # No SInE strategy applied
% 7.51/2.31  # Trying AutoSched0 for 150 seconds
% 7.51/2.31  # AutoSched0-Mode selected heuristic G_____0026_C18_F1_SE_CS_SP_S4S
% 7.51/2.31  # and selection function SelectNewComplexAHPNS.
% 7.51/2.31  #
% 7.51/2.31  # Preprocessing time       : 0.022 s
% 7.51/2.31  
% 7.51/2.31  # Proof found!
% 7.51/2.31  # SZS status Theorem
% 7.51/2.31  # SZS output start CNFRefutation
% See solution above
% 7.51/2.31  # Training examples: 0 positive, 0 negative
% 7.51/2.31  
% 7.51/2.31  # -------------------------------------------------
% 7.51/2.31  # User time                : 0.023 s
% 7.51/2.31  # System time              : 0.004 s
% 7.51/2.31  # Total time               : 0.028 s
% 7.51/2.31  # Maximum resident set size: 7124 pages
% 7.51/2.31  
%------------------------------------------------------------------------------