TSTP Solution File: SYN057+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SYN057+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.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 : Thu Jul 21 04:49:20 EDT 2022

% Result   : Theorem 7.21s 2.23s
% Output   : CNFRefutation 7.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   25 (  12 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   51 (  28   ~;  21   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   13 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1,plain,
    ~ big_g(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-anmauiv8/lgb.p',i_0_1) ).

cnf(i_0_5,plain,
    ( big_g(X1)
    | ~ big_h(X2)
    | ~ big_h(X1)
    | ~ big_i(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-anmauiv8/lgb.p',i_0_5) ).

cnf(i_0_3,plain,
    ( big_h(X1)
    | ~ big_f(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-anmauiv8/lgb.p',i_0_3) ).

cnf(i_0_2,plain,
    big_f(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-anmauiv8/lgb.p',i_0_2) ).

cnf(i_0_4,plain,
    ( big_f(X1)
    | ~ big_j(X1)
    | ~ big_i(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-anmauiv8/lgb.p',i_0_4) ).

cnf(i_0_7,negated_conjecture,
    big_j(esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-anmauiv8/lgb.p',i_0_7) ).

cnf(i_0_6,negated_conjecture,
    big_i(esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-anmauiv8/lgb.p',i_0_6) ).

fof(c_0_15,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( big_g(X1)
        | ~ big_h(X1) ) ),
    introduced(definition) ).

cnf(c_0_16,plain,
    ~ big_g(esk1_0),
    i_0_1 ).

cnf(c_0_17,plain,
    ( epred1_0
    | big_g(X1)
    | ~ big_h(X1) ),
    inference(split_equiv,[status(thm)],[c_0_15]) ).

fof(c_0_18,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( ~ big_h(X2)
        | ~ big_i(X2) ) ),
    introduced(definition) ).

cnf(c_0_19,plain,
    ( big_g(X1)
    | ~ big_h(X2)
    | ~ big_h(X1)
    | ~ big_i(X2) ),
    i_0_5 ).

cnf(c_0_20,plain,
    ( epred1_0
    | ~ big_h(esk1_0) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,plain,
    ( big_h(X1)
    | ~ big_f(X1) ),
    i_0_3 ).

cnf(c_0_22,plain,
    big_f(esk1_0),
    i_0_2 ).

cnf(c_0_23,plain,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_19,c_0_15]),c_0_18]) ).

cnf(c_0_24,plain,
    epred1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).

cnf(c_0_25,plain,
    ( epred2_0
    | ~ big_i(X1)
    | ~ big_h(X1) ),
    inference(split_equiv,[status(thm)],[c_0_18]) ).

cnf(c_0_26,plain,
    ~ epred2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).

cnf(c_0_27,plain,
    ( big_f(X1)
    | ~ big_j(X1)
    | ~ big_i(X1) ),
    i_0_4 ).

cnf(c_0_28,negated_conjecture,
    big_j(esk2_0),
    i_0_7 ).

cnf(c_0_29,negated_conjecture,
    big_i(esk2_0),
    i_0_6 ).

cnf(c_0_30,plain,
    ( ~ big_f(X1)
    | ~ big_i(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_21]),c_0_26]) ).

cnf(c_0_31,negated_conjecture,
    big_f(esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).

cnf(c_0_32,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_29])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN057+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 01:21:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.21/2.23  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.21/2.23  # No SInE strategy applied
% 7.21/2.23  # Trying AutoSched0 for 150 seconds
% 7.21/2.23  # AutoSched0-Mode selected heuristic G_N___023_B07_F1_SP_PI_Q7_CS_SE_S0Y
% 7.21/2.23  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.21/2.23  #
% 7.21/2.23  # Preprocessing time       : 0.023 s
% 7.21/2.23  
% 7.21/2.23  # Proof found!
% 7.21/2.23  # SZS status Theorem
% 7.21/2.23  # SZS output start CNFRefutation
% See solution above
% 7.21/2.23  # Training examples: 0 positive, 0 negative
% 7.21/2.23  
% 7.21/2.23  # -------------------------------------------------
% 7.21/2.23  # User time                : 0.022 s
% 7.21/2.23  # System time              : 0.007 s
% 7.21/2.23  # Total time               : 0.029 s
% 7.21/2.23  # Maximum resident set size: 7128 pages
% 7.21/2.23  
%------------------------------------------------------------------------------