TSTP Solution File: NUM301+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM301+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 08:24:09 EDT 2022

% Result   : Theorem 9.25s 2.51s
% Output   : CNFRefutation 9.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (  12 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   22 (  12   ~;   7   |;   2   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   19 (   3 sgn   9   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(something_less_nn2,conjecture,
    ? [X1] : less(X1,nn2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',something_less_nn2) ).

fof(less_entry_point_neg_neg,axiom,
    ! [X1,X2,X10,X11] :
      ( ( rdn_translate(X1,rdn_neg(X10))
        & rdn_translate(X2,rdn_neg(X11))
        & rdn_positive_less(X11,X10) )
     => less(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_entry_point_neg_neg) ).

fof(rdnn2,axiom,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn2) ).

fof(rdn_positive_less23,axiom,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less23) ).

fof(rdnn3,axiom,
    rdn_translate(nn3,rdn_neg(rdnn(n3))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn3) ).

fof(c_0_5,negated_conjecture,
    ~ ? [X1] : less(X1,nn2),
    inference(assume_negation,[status(cth)],[something_less_nn2]) ).

fof(c_0_6,plain,
    ! [X57,X58,X59,X60] :
      ( ~ rdn_translate(X57,rdn_neg(X59))
      | ~ rdn_translate(X58,rdn_neg(X60))
      | ~ rdn_positive_less(X60,X59)
      | less(X57,X58) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_neg_neg])]) ).

fof(c_0_7,negated_conjecture,
    ! [X154] : ~ less(X154,nn2),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).

cnf(c_0_8,plain,
    ( less(X1,X3)
    | ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    inference(split_conjunct,[status(thm)],[rdnn2]) ).

cnf(c_0_10,negated_conjecture,
    ~ less(X1,nn2),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( ~ rdn_positive_less(rdnn(n2),X1)
    | ~ rdn_translate(X2,rdn_neg(X1)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).

cnf(c_0_12,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less23]) ).

cnf(c_0_13,plain,
    rdn_translate(nn3,rdn_neg(rdnn(n3))),
    inference(split_conjunct,[status(thm)],[rdnn3]) ).

cnf(c_0_14,plain,
    ~ rdn_translate(X1,rdn_neg(rdnn(n3))),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,plain,
    $false,
    inference(sr,[status(thm)],[c_0_13,c_0_14]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM301+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n018.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 : Fri Jul  8 02:20:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.25/2.51  # ENIGMATIC: Solved by autoschedule:
% 9.25/2.51  # No SInE strategy applied
% 9.25/2.51  # Trying AutoSched0 for 150 seconds
% 9.25/2.51  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 9.25/2.51  # and selection function SelectNewComplexAHP.
% 9.25/2.51  #
% 9.25/2.51  # Preprocessing time       : 0.031 s
% 9.25/2.51  # Presaturation interreduction done
% 9.25/2.51  
% 9.25/2.51  # Proof found!
% 9.25/2.51  # SZS status Theorem
% 9.25/2.51  # SZS output start CNFRefutation
% See solution above
% 9.25/2.51  # Training examples: 0 positive, 0 negative
% 9.25/2.51  
% 9.25/2.51  # -------------------------------------------------
% 9.25/2.51  # User time                : 0.064 s
% 9.25/2.51  # System time              : 0.011 s
% 9.25/2.51  # Total time               : 0.075 s
% 9.25/2.51  # Maximum resident set size: 7124 pages
% 9.25/2.51  
%------------------------------------------------------------------------------