TSTP Solution File: SEU173+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU173+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 08:39:11 EDT 2022

% Result   : Theorem 7.68s 2.23s
% Output   : CNFRefutation 7.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (   4 unt;   6 nHn;  16 RR)
%            Number of literals    :   40 (   2 equ;  18 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   31 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
    ( in(X1,X2)
    | X2 != powerset(X3)
    | ~ subset(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7ccvt6yy/input.p',i_0_4) ).

cnf(i_0_11,plain,
    ( subset(X1,X2)
    | in(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7ccvt6yy/input.p',i_0_11) ).

cnf(i_0_20,negated_conjecture,
    ( in(X1,esk5_0)
    | ~ in(X1,esk4_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7ccvt6yy/input.p',i_0_20) ).

cnf(i_0_8,plain,
    ( empty(X1)
    | element(X2,X1)
    | ~ in(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7ccvt6yy/input.p',i_0_8) ).

cnf(i_0_29,plain,
    ( ~ empty(X1)
    | ~ in(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7ccvt6yy/input.p',i_0_29) ).

cnf(i_0_10,plain,
    ( subset(X1,X2)
    | ~ in(esk2_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7ccvt6yy/input.p',i_0_10) ).

cnf(i_0_19,negated_conjecture,
    ~ element(esk4_0,powerset(esk5_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7ccvt6yy/input.p',i_0_19) ).

cnf(c_0_37,plain,
    ( in(X1,X2)
    | X2 != powerset(X3)
    | ~ subset(X1,X3) ),
    i_0_4 ).

cnf(c_0_38,plain,
    ( in(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    inference(er,[status(thm)],[c_0_37]) ).

cnf(c_0_39,plain,
    ( subset(X1,X2)
    | in(esk2_2(X1,X2),X1) ),
    i_0_11 ).

cnf(c_0_40,negated_conjecture,
    ( in(X1,esk5_0)
    | ~ in(X1,esk4_0) ),
    i_0_20 ).

cnf(c_0_41,plain,
    ( in(esk2_2(X1,X2),X1)
    | in(X1,powerset(X2)) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_42,plain,
    ( empty(X1)
    | element(X2,X1)
    | ~ in(X2,X1) ),
    i_0_8 ).

cnf(c_0_43,plain,
    ( ~ empty(X1)
    | ~ in(X2,X1) ),
    i_0_29 ).

cnf(c_0_44,plain,
    ( subset(X1,X2)
    | ~ in(esk2_2(X1,X2),X2) ),
    i_0_10 ).

cnf(c_0_45,negated_conjecture,
    ( in(esk2_2(esk4_0,X1),esk5_0)
    | in(esk4_0,powerset(X1)) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_46,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    inference(csr,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_47,plain,
    in(esk4_0,powerset(esk5_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_38]) ).

cnf(c_0_48,negated_conjecture,
    ~ element(esk4_0,powerset(esk5_0)),
    i_0_19 ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SEU173+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n027.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Sun Jun 19 16:29:25 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected complete mode:
% 7.68/2.23  # ENIGMATIC: Solved by autoschedule:
% 7.68/2.23  # No SInE strategy applied
% 7.68/2.23  # Trying AutoSched0 for 150 seconds
% 7.68/2.23  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 7.68/2.23  # and selection function SelectNewComplexAHP.
% 7.68/2.23  #
% 7.68/2.23  # Preprocessing time       : 0.023 s
% 7.68/2.23  # Presaturation interreduction done
% 7.68/2.23  
% 7.68/2.23  # Proof found!
% 7.68/2.23  # SZS status Theorem
% 7.68/2.23  # SZS output start CNFRefutation
% See solution above
% 7.68/2.23  # Training examples: 0 positive, 0 negative
% 7.68/2.23  
% 7.68/2.23  # -------------------------------------------------
% 7.68/2.23  # User time                : 0.028 s
% 7.68/2.23  # System time              : 0.005 s
% 7.68/2.23  # Total time               : 0.033 s
% 7.68/2.23  # Maximum resident set size: 7124 pages
% 7.68/2.23  
%------------------------------------------------------------------------------