TSTP Solution File: NUM383+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM383+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 : Mon Jul 18 08:35:35 EDT 2022

% Result   : Theorem 7.23s 2.22s
% Output   : CNFRefutation 7.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   21 (   8 unt;   2 nHn;  21 RR)
%            Number of literals    :   40 (   0 equ;  23 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   27 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_39,plain,
    ( element(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qkmu88qr/input.p',i_0_39) ).

cnf(i_0_45,negated_conjecture,
    subset(esk13_0,esk12_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qkmu88qr/input.p',i_0_45) ).

cnf(i_0_42,plain,
    ( ~ empty(X1)
    | ~ in(X2,X3)
    | ~ element(X3,powerset(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qkmu88qr/input.p',i_0_42) ).

cnf(i_0_41,plain,
    ( element(X1,X2)
    | ~ in(X1,X3)
    | ~ element(X3,powerset(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qkmu88qr/input.p',i_0_41) ).

cnf(i_0_46,negated_conjecture,
    in(esk12_0,esk13_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qkmu88qr/input.p',i_0_46) ).

cnf(i_0_38,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qkmu88qr/input.p',i_0_38) ).

cnf(i_0_1,plain,
    ( ~ in(X1,X2)
    | ~ in(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qkmu88qr/input.p',i_0_1) ).

cnf(c_0_54,plain,
    ( element(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    i_0_39 ).

cnf(c_0_55,negated_conjecture,
    subset(esk13_0,esk12_0),
    i_0_45 ).

cnf(c_0_56,plain,
    ( ~ empty(X1)
    | ~ in(X2,X3)
    | ~ element(X3,powerset(X1)) ),
    i_0_42 ).

cnf(c_0_57,negated_conjecture,
    element(esk13_0,powerset(esk12_0)),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_58,plain,
    ( element(X1,X2)
    | ~ in(X1,X3)
    | ~ element(X3,powerset(X2)) ),
    i_0_41 ).

cnf(c_0_59,plain,
    ( ~ in(X1,esk13_0)
    | ~ empty(esk12_0) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_60,negated_conjecture,
    in(esk12_0,esk13_0),
    i_0_46 ).

cnf(c_0_61,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    i_0_38 ).

cnf(c_0_62,negated_conjecture,
    ( element(X1,esk12_0)
    | ~ in(X1,esk13_0) ),
    inference(spm,[status(thm)],[c_0_58,c_0_57]) ).

cnf(c_0_63,negated_conjecture,
    ~ empty(esk12_0),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_64,plain,
    ( in(X1,esk12_0)
    | ~ in(X1,esk13_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).

cnf(c_0_65,plain,
    ( ~ in(X1,X2)
    | ~ in(X2,X1) ),
    i_0_1 ).

cnf(c_0_66,negated_conjecture,
    in(esk12_0,esk12_0),
    inference(spm,[status(thm)],[c_0_64,c_0_60]) ).

cnf(c_0_67,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_66])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NUM383+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jul  7 00:59:28 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.44  # ENIGMATIC: Selected complete mode:
% 7.23/2.22  # ENIGMATIC: Solved by autoschedule:
% 7.23/2.22  # No SInE strategy applied
% 7.23/2.22  # Trying AutoSched0 for 150 seconds
% 7.23/2.22  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S05FI
% 7.23/2.22  # and selection function SelectMaxLComplexG.
% 7.23/2.22  #
% 7.23/2.22  # Preprocessing time       : 0.023 s
% 7.23/2.22  # Presaturation interreduction done
% 7.23/2.22  
% 7.23/2.22  # Proof found!
% 7.23/2.22  # SZS status Theorem
% 7.23/2.22  # SZS output start CNFRefutation
% See solution above
% 7.23/2.22  # Training examples: 0 positive, 0 negative
% 7.23/2.22  
% 7.23/2.22  # -------------------------------------------------
% 7.23/2.22  # User time                : 0.025 s
% 7.23/2.22  # System time              : 0.008 s
% 7.23/2.22  # Total time               : 0.033 s
% 7.23/2.22  # Maximum resident set size: 7120 pages
% 7.23/2.22  
%------------------------------------------------------------------------------