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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU319+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 08:40:45 EDT 2022

% Result   : Theorem 6.85s 2.27s
% Output   : CNFRefutation 6.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   21 (   7 unt;   2 nHn;  21 RR)
%            Number of literals    :   49 (   2 equ;  29 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1,plain,
    ( closed_subset(X1,X2)
    | ~ top_str(X2)
    | ~ element(X1,powerset(the_carrier(X2)))
    | ~ open_subset(subset_difference(the_carrier(X2),cast_as_carrier_subset(X2),X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41i8ces9/input.p',i_0_1) ).

cnf(i_0_18,plain,
    ( subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2) = subset_complement(the_carrier(X1),X2)
    | ~ one_sorted_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41i8ces9/input.p',i_0_18) ).

cnf(i_0_8,plain,
    ( one_sorted_str(X1)
    | ~ top_str(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41i8ces9/input.p',i_0_8) ).

cnf(i_0_19,negated_conjecture,
    ( closed_subset(esk5_0,esk4_0)
    | open_subset(subset_complement(the_carrier(esk4_0),esk5_0),esk4_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41i8ces9/input.p',i_0_19) ).

cnf(i_0_21,negated_conjecture,
    element(esk5_0,powerset(the_carrier(esk4_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41i8ces9/input.p',i_0_21) ).

cnf(i_0_22,negated_conjecture,
    top_str(esk4_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41i8ces9/input.p',i_0_22) ).

cnf(i_0_20,negated_conjecture,
    ( ~ closed_subset(esk5_0,esk4_0)
    | ~ open_subset(subset_complement(the_carrier(esk4_0),esk5_0),esk4_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41i8ces9/input.p',i_0_20) ).

cnf(i_0_2,plain,
    ( open_subset(subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2),X1)
    | ~ top_str(X1)
    | ~ closed_subset(X2,X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-41i8ces9/input.p',i_0_2) ).

cnf(c_0_31,plain,
    ( closed_subset(X1,X2)
    | ~ top_str(X2)
    | ~ element(X1,powerset(the_carrier(X2)))
    | ~ open_subset(subset_difference(the_carrier(X2),cast_as_carrier_subset(X2),X1),X2) ),
    i_0_1 ).

cnf(c_0_32,plain,
    ( subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2) = subset_complement(the_carrier(X1),X2)
    | ~ one_sorted_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_18 ).

cnf(c_0_33,plain,
    ( one_sorted_str(X1)
    | ~ top_str(X1) ),
    i_0_8 ).

cnf(c_0_34,plain,
    ( closed_subset(X1,X2)
    | ~ open_subset(subset_complement(the_carrier(X2),X1),X2)
    | ~ element(X1,powerset(the_carrier(X2)))
    | ~ top_str(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).

cnf(c_0_35,negated_conjecture,
    ( closed_subset(esk5_0,esk4_0)
    | open_subset(subset_complement(the_carrier(esk4_0),esk5_0),esk4_0) ),
    i_0_19 ).

cnf(c_0_36,negated_conjecture,
    element(esk5_0,powerset(the_carrier(esk4_0))),
    i_0_21 ).

cnf(c_0_37,negated_conjecture,
    top_str(esk4_0),
    i_0_22 ).

cnf(c_0_38,negated_conjecture,
    ( ~ closed_subset(esk5_0,esk4_0)
    | ~ open_subset(subset_complement(the_carrier(esk4_0),esk5_0),esk4_0) ),
    i_0_20 ).

cnf(c_0_39,negated_conjecture,
    closed_subset(esk5_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37])]) ).

cnf(c_0_40,plain,
    ( open_subset(subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2),X1)
    | ~ top_str(X1)
    | ~ closed_subset(X2,X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_2 ).

cnf(c_0_41,negated_conjecture,
    ~ open_subset(subset_complement(the_carrier(esk4_0),esk5_0),esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])]) ).

cnf(c_0_42,plain,
    ( open_subset(subset_complement(the_carrier(X1),X2),X1)
    | ~ closed_subset(X2,X1)
    | ~ element(X2,powerset(the_carrier(X1)))
    | ~ top_str(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_32]),c_0_33]) ).

cnf(c_0_43,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_39]),c_0_36]),c_0_37])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU319+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 : n027.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 11:00:26 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 6.85/2.27  # ENIGMATIC: Solved by autoschedule:
% 6.85/2.27  # No SInE strategy applied
% 6.85/2.27  # Trying AutoSched0 for 150 seconds
% 6.85/2.27  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S060N
% 6.85/2.27  # and selection function SelectMaxLComplexAvoidPosPred.
% 6.85/2.27  #
% 6.85/2.27  # Preprocessing time       : 0.013 s
% 6.85/2.27  # Presaturation interreduction done
% 6.85/2.27  
% 6.85/2.27  # Proof found!
% 6.85/2.27  # SZS status Theorem
% 6.85/2.27  # SZS output start CNFRefutation
% See solution above
% 6.85/2.27  # Training examples: 0 positive, 0 negative
% 6.85/2.27  
% 6.85/2.27  # -------------------------------------------------
% 6.85/2.27  # User time                : 0.015 s
% 6.85/2.27  # System time              : 0.003 s
% 6.85/2.27  # Total time               : 0.018 s
% 6.85/2.27  # Maximum resident set size: 7124 pages
% 6.85/2.27  
%------------------------------------------------------------------------------