TSTP Solution File: SWV377+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV377+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Wed Jul 20 17:47:01 EDT 2022

% Result   : Theorem 8.02s 2.59s
% Output   : CNFRefutation 8.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (  11 unt;   0 def)
%            Number of atoms       :   25 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   19 (  12   ~;   2   |;   1   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :   38 (   7 sgn  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l13_co,conjecture,
    ! [X1,X2,X3,X4] :
      ( ~ ok(triple(X1,X2,X3))
     => ~ ok(insert_cpq(triple(X1,X2,X3),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l13_co) ).

fof(ax41,axiom,
    ! [X1,X2,X3] :
      ( ~ ok(triple(X1,X2,X3))
     => X3 = bad ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax41) ).

fof(ax40,axiom,
    ! [X1,X2] :
      ( ok(triple(X1,X2,bad))
    <=> ~ $true ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax40) ).

fof(ax42,axiom,
    ! [X1,X2,X3,X4] : insert_cpq(triple(X1,X2,X3),X4) = triple(insert_pqp(X1,X4),insert_slb(X2,pair(X4,bottom)),X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax42) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( ~ ok(triple(X1,X2,X3))
       => ~ ok(insert_cpq(triple(X1,X2,X3),X4)) ),
    inference(assume_negation,[status(cth)],[l13_co]) ).

fof(c_0_5,negated_conjecture,
    ( ~ ok(triple(esk1_0,esk2_0,esk3_0))
    & ok(insert_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4])])])]) ).

fof(c_0_6,plain,
    ! [X82,X83,X84] :
      ( ok(triple(X82,X83,X84))
      | X84 = bad ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax41])])]) ).

cnf(c_0_7,negated_conjecture,
    ~ ok(triple(esk1_0,esk2_0,esk3_0)),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( ok(triple(X1,X2,X3))
    | X3 = bad ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_9,plain,
    ! [X80,X81] : ~ ok(triple(X80,X81,bad)),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[ax40])]) ).

fof(c_0_10,plain,
    ! [X85,X86,X87,X88] : insert_cpq(triple(X85,X86,X87),X88) = triple(insert_pqp(X85,X88),insert_slb(X86,pair(X88,bottom)),X87),
    inference(variable_rename,[status(thm)],[ax42]) ).

cnf(c_0_11,negated_conjecture,
    ok(insert_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_12,negated_conjecture,
    esk3_0 = bad,
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_13,plain,
    ~ ok(triple(X1,X2,bad)),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    insert_cpq(triple(X1,X2,X3),X4) = triple(insert_pqp(X1,X4),insert_slb(X2,pair(X4,bottom)),X3),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    ok(insert_cpq(triple(esk1_0,esk2_0,bad),esk4_0)),
    inference(rw,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,plain,
    ~ ok(insert_cpq(triple(X1,X2,bad),X3)),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_15,c_0_16]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SWV377+1 : TPTP v8.1.0. Released v3.3.0.
% 0.14/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Tue Jun 14 14:46:45 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.47  # ENIGMATIC: Selected SinE mode:
% 0.21/0.48  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.21/0.48  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.21/0.48  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.02/2.59  # ENIGMATIC: Solved by autoschedule:
% 8.02/2.59  # No SInE strategy applied
% 8.02/2.59  # Trying AutoSched0 for 150 seconds
% 8.02/2.59  # AutoSched0-Mode selected heuristic G_E___208_B01_00_F1_SE_CS_SP_PS_S04AN
% 8.02/2.59  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.02/2.59  #
% 8.02/2.59  # Preprocessing time       : 0.014 s
% 8.02/2.59  # Presaturation interreduction done
% 8.02/2.59  
% 8.02/2.59  # Proof found!
% 8.02/2.59  # SZS status Theorem
% 8.02/2.59  # SZS output start CNFRefutation
% See solution above
% 8.02/2.59  # Training examples: 0 positive, 0 negative
% 8.02/2.59  
% 8.02/2.59  # -------------------------------------------------
% 8.02/2.59  # User time                : 0.018 s
% 8.02/2.59  # System time              : 0.005 s
% 8.02/2.59  # Total time               : 0.023 s
% 8.02/2.59  # Maximum resident set size: 7116 pages
% 8.02/2.59  
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