TSTP Solution File: NUM388+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM388+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 08:35:37 EDT 2022

% Result   : Theorem 7.72s 2.27s
% Output   : CNFRefutation 7.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   27 (  12 unt;   2 nHn;  27 RR)
%            Number of literals    :   52 (   0 equ;  28 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   31 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_56,plain,
    ( element(X1,X2)
    | ~ in(X1,X3)
    | ~ element(X3,powerset(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sfrgmzt7/input.p',i_0_56) ).

cnf(i_0_54,plain,
    ( element(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sfrgmzt7/input.p',i_0_54) ).

cnf(i_0_12,plain,
    ( subset(X1,X2)
    | ~ epsilon_transitive(X2)
    | ~ in(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sfrgmzt7/input.p',i_0_12) ).

cnf(i_0_48,negated_conjecture,
    in(esk16_0,esk14_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sfrgmzt7/input.p',i_0_48) ).

cnf(i_0_4,plain,
    ( epsilon_transitive(X1)
    | ~ ordinal(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sfrgmzt7/input.p',i_0_4) ).

cnf(i_0_50,negated_conjecture,
    ordinal(esk15_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sfrgmzt7/input.p',i_0_50) ).

cnf(i_0_47,negated_conjecture,
    in(esk14_0,esk15_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sfrgmzt7/input.p',i_0_47) ).

cnf(i_0_59,plain,
    ( ~ empty(X1)
    | ~ in(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sfrgmzt7/input.p',i_0_59) ).

cnf(i_0_53,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sfrgmzt7/input.p',i_0_53) ).

cnf(i_0_46,negated_conjecture,
    ~ in(esk16_0,esk15_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sfrgmzt7/input.p',i_0_46) ).

cnf(c_0_70,plain,
    ( element(X1,X2)
    | ~ in(X1,X3)
    | ~ element(X3,powerset(X2)) ),
    i_0_56 ).

cnf(c_0_71,plain,
    ( element(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    i_0_54 ).

cnf(c_0_72,plain,
    ( element(X1,X2)
    | ~ subset(X3,X2)
    | ~ in(X1,X3) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_73,plain,
    ( subset(X1,X2)
    | ~ epsilon_transitive(X2)
    | ~ in(X1,X2) ),
    i_0_12 ).

cnf(c_0_74,plain,
    ( element(X1,X2)
    | ~ in(X1,X3)
    | ~ in(X3,X2)
    | ~ epsilon_transitive(X2) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_75,negated_conjecture,
    in(esk16_0,esk14_0),
    i_0_48 ).

cnf(c_0_76,plain,
    ( epsilon_transitive(X1)
    | ~ ordinal(X1) ),
    i_0_4 ).

cnf(c_0_77,negated_conjecture,
    ordinal(esk15_0),
    i_0_50 ).

cnf(c_0_78,negated_conjecture,
    ( element(esk16_0,X1)
    | ~ in(esk14_0,X1)
    | ~ epsilon_transitive(X1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_79,negated_conjecture,
    epsilon_transitive(esk15_0),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_80,negated_conjecture,
    in(esk14_0,esk15_0),
    i_0_47 ).

cnf(c_0_81,plain,
    ( ~ empty(X1)
    | ~ in(X2,X1) ),
    i_0_59 ).

cnf(c_0_82,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    i_0_53 ).

cnf(c_0_83,negated_conjecture,
    element(esk16_0,esk15_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80])]) ).

cnf(c_0_84,negated_conjecture,
    ~ in(esk16_0,esk15_0),
    i_0_46 ).

cnf(c_0_85,negated_conjecture,
    ~ empty(esk15_0),
    inference(spm,[status(thm)],[c_0_81,c_0_80]) ).

cnf(c_0_86,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_85]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NUM388+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n019.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Thu Jul  7 10:34:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.17/0.44  # ENIGMATIC: Selected complete mode:
% 7.72/2.27  # ENIGMATIC: Solved by autoschedule:
% 7.72/2.27  # No SInE strategy applied
% 7.72/2.27  # Trying AutoSched0 for 150 seconds
% 7.72/2.27  # AutoSched0-Mode selected heuristic G_E___008_C45_F1_PI_SE_Q4_CS_SP_S0Y
% 7.72/2.27  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.72/2.27  #
% 7.72/2.27  # Preprocessing time       : 0.023 s
% 7.72/2.27  
% 7.72/2.27  # Proof found!
% 7.72/2.27  # SZS status Theorem
% 7.72/2.27  # SZS output start CNFRefutation
% See solution above
% 7.72/2.27  # Training examples: 0 positive, 0 negative
% 7.72/2.27  
% 7.72/2.27  # -------------------------------------------------
% 7.72/2.27  # User time                : 0.027 s
% 7.72/2.27  # System time              : 0.005 s
% 7.72/2.27  # Total time               : 0.032 s
% 7.72/2.27  # Maximum resident set size: 7124 pages
% 7.72/2.27  
%------------------------------------------------------------------------------