TSTP Solution File: SET592+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET592+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.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 00:12:31 EDT 2022

% Result   : Theorem 8.06s 2.49s
% Output   : CNFRefutation 8.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   20 (  13 unt;   2 nHn;  17 RR)
%            Number of literals    :   32 (   6 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   18 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2,plain,
    ( subset(X1,intersection(X2,X3))
    | ~ subset(X1,X3)
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yw6iksvr/lgb.p',i_0_2) ).

cnf(i_0_22,negated_conjecture,
    intersection(esk5_0,esk6_0) = empty_set,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yw6iksvr/lgb.p',i_0_22) ).

cnf(i_0_23,negated_conjecture,
    subset(esk4_0,esk6_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yw6iksvr/lgb.p',i_0_23) ).

cnf(i_0_24,negated_conjecture,
    subset(esk4_0,esk5_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yw6iksvr/lgb.p',i_0_24) ).

cnf(i_0_3,plain,
    ~ member(X1,empty_set),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yw6iksvr/lgb.p',i_0_3) ).

cnf(i_0_8,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yw6iksvr/lgb.p',i_0_8) ).

cnf(i_0_10,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yw6iksvr/lgb.p',i_0_10) ).

cnf(i_0_21,negated_conjecture,
    esk4_0 != empty_set,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yw6iksvr/lgb.p',i_0_21) ).

cnf(c_0_33,plain,
    ( subset(X1,intersection(X2,X3))
    | ~ subset(X1,X3)
    | ~ subset(X1,X2) ),
    i_0_2 ).

cnf(c_0_34,negated_conjecture,
    intersection(esk5_0,esk6_0) = empty_set,
    i_0_22 ).

cnf(c_0_35,negated_conjecture,
    ( subset(X1,empty_set)
    | ~ subset(X1,esk6_0)
    | ~ subset(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_36,negated_conjecture,
    subset(esk4_0,esk6_0),
    i_0_23 ).

cnf(c_0_37,negated_conjecture,
    subset(esk4_0,esk5_0),
    i_0_24 ).

cnf(c_0_38,plain,
    ~ member(X1,empty_set),
    i_0_3 ).

cnf(c_0_39,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    i_0_8 ).

cnf(c_0_40,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    i_0_10 ).

cnf(c_0_41,negated_conjecture,
    subset(esk4_0,empty_set),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).

cnf(c_0_42,plain,
    subset(empty_set,X1),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_43,negated_conjecture,
    esk4_0 != empty_set,
    i_0_21 ).

cnf(c_0_44,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]),c_0_43]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET592+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n022.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 : Sun Jul 10 09:52:12 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 8.06/2.49  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.06/2.49  # No SInE strategy applied
% 8.06/2.49  # Trying AutoSched0 for 150 seconds
% 8.06/2.49  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.06/2.49  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.06/2.49  #
% 8.06/2.49  # Preprocessing time       : 0.023 s
% 8.06/2.49  # Presaturation interreduction done
% 8.06/2.49  
% 8.06/2.49  # Proof found!
% 8.06/2.49  # SZS status Theorem
% 8.06/2.49  # SZS output start CNFRefutation
% See solution above
% 8.06/2.49  # Training examples: 0 positive, 0 negative
% 8.06/2.49  
% 8.06/2.49  # -------------------------------------------------
% 8.06/2.49  # User time                : 0.026 s
% 8.06/2.49  # System time              : 0.006 s
% 8.06/2.49  # Total time               : 0.032 s
% 8.06/2.49  # Maximum resident set size: 7124 pages
% 8.06/2.49  
%------------------------------------------------------------------------------