TSTP Solution File: SWW348+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW348+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n025.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 00:10:37 EDT 2022

% Result   : Theorem 0.95s 2.13s
% Output   : CNFRefutation 0.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (   6 unt;   0 def)
%            Number of atoms       :   43 (  27 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   39 (  14   ~;  15   |;   2   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   37 (   3 sgn  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
    ! [X106,X107] :
      ( ! [X333] :
          ( ! [X30] :
              ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X106),X30))
             => X333 = X30 )
         => X333 = X107 )
     => hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X106),X107)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).

fof(fact_com__det,axiom,
    ! [X4,X5,X6,X7] :
      ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(X7),X6),X5))
     => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(X7),X6),X4))
       => X4 = X5 ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_com__det) ).

fof(fact_com_Osimps_I12_J,axiom,
    ! [X32,X33] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X33,X32),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_com_Osimps_I12_J) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X106,X107] :
        ( ! [X333] :
            ( ! [X30] :
                ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X106),X30))
               => X333 = X30 )
           => X333 = X107 )
       => hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X106),X107)) ),
    inference(assume_negation,[status(cth)],[conj_1]) ).

fof(c_0_4,plain,
    ! [X8,X9,X10,X11] :
      ( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X11),X10),X9))
      | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X11),X10),X8))
      | X8 = X9 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_com__det])]) ).

fof(c_0_5,negated_conjecture,
    ! [X336] :
      ( ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),esk1_0),esk3_1(X336)))
        | X336 = esk2_0 )
      & ( X336 != esk3_1(X336)
        | X336 = esk2_0 )
      & ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),esk1_0),esk2_0)) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])])]) ).

cnf(c_0_6,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X4),X1))
    | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X4),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ( X1 = esk2_0
    | hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),esk1_0),esk3_1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    ( X1 = esk3_1(X2)
    | X2 = esk2_0
    | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),esk1_0),X1)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,negated_conjecture,
    ( X1 = esk2_0
    | X1 != esk3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    ( esk3_1(X1) = esk3_1(X2)
    | X1 = esk2_0
    | X2 = esk2_0 ),
    inference(spm,[status(thm)],[c_0_8,c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    ( X1 = esk2_0
    | X2 = esk2_0
    | esk3_1(X1) != X2 ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

fof(c_0_12,plain,
    ! [X34,X35] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X35,X34),
    inference(variable_rename,[status(thm)],[fact_com_Osimps_I12_J]) ).

cnf(c_0_13,negated_conjecture,
    ( esk3_1(X1) = esk2_0
    | X1 = esk2_0 ),
    inference(er,[status(thm)],[c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),esk1_0),esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_15,plain,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    X1 = esk2_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_13]),c_0_14]) ).

cnf(c_0_17,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWW348+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.13  % Command  : run_ET %s %d
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jun  5 23:25:32 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.95/2.13  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.95/2.13  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.95/2.13  # Preprocessing time       : 0.238 s
% 0.95/2.13  
% 0.95/2.13  # Proof found!
% 0.95/2.13  # SZS status Theorem
% 0.95/2.13  # SZS output start CNFRefutation
% See solution above
% 0.95/2.13  # Proof object total steps             : 18
% 0.95/2.13  # Proof object clause steps            : 11
% 0.95/2.13  # Proof object formula steps           : 7
% 0.95/2.13  # Proof object conjectures             : 11
% 0.95/2.13  # Proof object clause conjectures      : 8
% 0.95/2.13  # Proof object formula conjectures     : 3
% 0.95/2.13  # Proof object initial clauses used    : 5
% 0.95/2.13  # Proof object initial formulas used   : 3
% 0.95/2.13  # Proof object generating inferences   : 5
% 0.95/2.13  # Proof object simplifying inferences  : 4
% 0.95/2.13  # Training examples: 0 positive, 0 negative
% 0.95/2.13  # Parsed axioms                        : 5227
% 0.95/2.13  # Removed by relevancy pruning/SinE    : 5126
% 0.95/2.13  # Initial clauses                      : 175
% 0.95/2.13  # Removed in clause preprocessing      : 12
% 0.95/2.13  # Initial clauses in saturation        : 163
% 0.95/2.13  # Processed clauses                    : 172
% 0.95/2.13  # ...of these trivial                  : 5
% 0.95/2.13  # ...subsumed                          : 60
% 0.95/2.13  # ...remaining for further processing  : 107
% 0.95/2.13  # Other redundant clauses eliminated   : 2
% 0.95/2.13  # Clauses deleted for lack of memory   : 0
% 0.95/2.13  # Backward-subsumed                    : 0
% 0.95/2.13  # Backward-rewritten                   : 102
% 0.95/2.13  # Generated clauses                    : 287
% 0.95/2.13  # ...of the previous two non-trivial   : 258
% 0.95/2.13  # Contextual simplify-reflections      : 2
% 0.95/2.13  # Paramodulations                      : 276
% 0.95/2.13  # Factorizations                       : 0
% 0.95/2.13  # Equation resolutions                 : 11
% 0.95/2.13  # Current number of processed clauses  : 3
% 0.95/2.13  #    Positive orientable unit clauses  : 1
% 0.95/2.13  #    Positive unorientable unit clauses: 1
% 0.95/2.13  #    Negative unit clauses             : 1
% 0.95/2.13  #    Non-unit-clauses                  : 0
% 0.95/2.13  # Current number of unprocessed clauses: 6
% 0.95/2.13  # ...number of literals in the above   : 10
% 0.95/2.13  # Current number of archived formulas  : 0
% 0.95/2.13  # Current number of archived clauses   : 102
% 0.95/2.13  # Clause-clause subsumption calls (NU) : 827
% 0.95/2.13  # Rec. Clause-clause subsumption calls : 736
% 0.95/2.13  # Non-unit clause-clause subsumptions  : 40
% 0.95/2.13  # Unit Clause-clause subsumption calls : 101
% 0.95/2.13  # Rewrite failures with RHS unbound    : 3
% 0.95/2.13  # BW rewrite match attempts            : 370
% 0.95/2.13  # BW rewrite match successes           : 364
% 0.95/2.13  # Condensation attempts                : 0
% 0.95/2.13  # Condensation successes               : 0
% 0.95/2.13  # Termbank termtop insertions          : 149028
% 0.95/2.13  
% 0.95/2.13  # -------------------------------------------------
% 0.95/2.13  # User time                : 0.241 s
% 0.95/2.13  # System time              : 0.009 s
% 0.95/2.13  # Total time               : 0.250 s
% 0.95/2.13  # Maximum resident set size: 13568 pages
% 0.95/24.12  eprover: CPU time limit exceeded, terminating
% 0.95/24.13  eprover: CPU time limit exceeded, terminating
% 0.95/24.14  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.14  eprover: No such file or directory
% 0.95/24.14  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.14  eprover: No such file or directory
% 0.95/24.15  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.15  eprover: No such file or directory
% 0.95/24.15  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.15  eprover: No such file or directory
% 0.95/24.15  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.15  eprover: No such file or directory
% 0.95/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.16  eprover: No such file or directory
% 0.95/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.16  eprover: No such file or directory
% 0.95/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.16  eprover: No such file or directory
% 0.95/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.16  eprover: No such file or directory
% 0.95/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.17  eprover: No such file or directory
% 0.95/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.17  eprover: No such file or directory
% 0.95/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.17  eprover: No such file or directory
% 0.95/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.17  eprover: No such file or directory
% 0.95/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.17  eprover: No such file or directory
% 0.95/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.18  eprover: No such file or directory
% 0.95/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.18  eprover: No such file or directory
% 0.95/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.18  eprover: No such file or directory
% 0.95/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.18  eprover: No such file or directory
% 0.95/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.18  eprover: No such file or directory
% 0.95/24.19  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.19  eprover: No such file or directory
% 0.95/24.19  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.19  eprover: No such file or directory
% 0.95/24.20  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.20  eprover: No such file or directory
%------------------------------------------------------------------------------