TSTP Solution File: KRS189+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : KRS189+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n028.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 : Sun Jul 17 03:00:03 EDT 2022

% Result   : Theorem 0.21s 1.40s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (   5 unt;   0 def)
%            Number of atoms       :   69 (   0 equ)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :   77 (  27   ~;  33   |;  11   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   47 (   7 sgn  29   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(eth,axiom,
    ! [X1,X2] :
      ( ( ? [X3] : model(X3,X1)
        & ? [X4] : ~ model(X4,X1)
        & ! [X5] :
            ( model(X5,X1)
          <=> model(X5,X2) ) )
    <=> status(X1,X2,eth) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',eth) ).

fof(isa,axiom,
    ! [X7,X8] :
      ( ! [X1,X2] :
          ( status(X1,X2,X7)
         => status(X1,X2,X8) )
    <=> isa(X7,X8) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',isa) ).

fof(thm,axiom,
    ! [X1,X2] :
      ( ! [X3] :
          ( model(X3,X1)
         => model(X3,X2) )
    <=> status(X1,X2,thm) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',thm) ).

fof(isa_eth_thm,conjecture,
    isa(eth,thm),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',isa_eth_thm) ).

fof(c_0_4,plain,
    ! [X6,X7,X8,X9,X6,X7,X13,X13] :
      ( ( ~ model(esk4_2(X6,X7),X6)
        | ~ model(esk4_2(X6,X7),X7)
        | ~ model(X8,X6)
        | model(X9,X6)
        | status(X6,X7,eth) )
      & ( model(esk4_2(X6,X7),X6)
        | model(esk4_2(X6,X7),X7)
        | ~ model(X8,X6)
        | model(X9,X6)
        | status(X6,X7,eth) )
      & ( model(esk5_2(X6,X7),X6)
        | ~ status(X6,X7,eth) )
      & ( ~ model(esk6_2(X6,X7),X6)
        | ~ status(X6,X7,eth) )
      & ( ~ model(X13,X6)
        | model(X13,X7)
        | ~ status(X6,X7,eth) )
      & ( ~ model(X13,X7)
        | model(X13,X6)
        | ~ status(X6,X7,eth) ) ),
    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)],[inference(fof_simplification,[status(thm)],[eth])])])])])])])]) ).

fof(c_0_5,plain,
    ! [X9,X10,X9,X10,X13,X14] :
      ( ( status(esk1_2(X9,X10),esk2_2(X9,X10),X9)
        | isa(X9,X10) )
      & ( ~ status(esk1_2(X9,X10),esk2_2(X9,X10),X10)
        | isa(X9,X10) )
      & ( ~ isa(X9,X10)
        | ~ status(X13,X14,X9)
        | status(X13,X14,X10) ) ),
    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)],[isa])])])])])])]) ).

fof(c_0_6,plain,
    ! [X4,X5,X4,X5,X7] :
      ( ( model(esk3_2(X4,X5),X4)
        | status(X4,X5,thm) )
      & ( ~ model(esk3_2(X4,X5),X5)
        | status(X4,X5,thm) )
      & ( ~ status(X4,X5,thm)
        | ~ model(X7,X4)
        | model(X7,X5) ) ),
    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)],[thm])])])])])])]) ).

cnf(c_0_7,plain,
    ( model(X3,X2)
    | ~ status(X1,X2,eth)
    | ~ model(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    ( isa(X1,X2)
    | status(esk1_2(X1,X2),esk2_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( status(X1,X2,thm)
    | ~ model(esk3_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( isa(eth,X1)
    | model(X2,esk2_2(eth,X1))
    | ~ model(X2,esk1_2(eth,X1)) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

fof(c_0_11,negated_conjecture,
    ~ isa(eth,thm),
    inference(assume_negation,[status(cth)],[isa_eth_thm]) ).

cnf(c_0_12,plain,
    ( isa(eth,X1)
    | status(X2,esk2_2(eth,X1),thm)
    | ~ model(esk3_2(X2,esk2_2(eth,X1)),esk1_2(eth,X1)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,plain,
    ( status(X1,X2,thm)
    | model(esk3_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_14,negated_conjecture,
    ~ isa(eth,thm),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    ( isa(X1,X2)
    | ~ status(esk1_2(X1,X2),esk2_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_16,plain,
    ( isa(eth,X1)
    | status(esk1_2(eth,X1),esk2_2(eth,X1),thm) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    ~ isa(eth,thm),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : KRS189+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.02/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n028.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 Jun  7 18:07:30 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.21/1.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.40  # Preprocessing time       : 0.016 s
% 0.21/1.40  
% 0.21/1.40  # Proof found!
% 0.21/1.40  # SZS status Theorem
% 0.21/1.40  # SZS output start CNFRefutation
% See solution above
% 0.21/1.40  # Proof object total steps             : 19
% 0.21/1.40  # Proof object clause steps            : 10
% 0.21/1.40  # Proof object formula steps           : 9
% 0.21/1.40  # Proof object conjectures             : 4
% 0.21/1.40  # Proof object clause conjectures      : 1
% 0.21/1.40  # Proof object formula conjectures     : 3
% 0.21/1.40  # Proof object initial clauses used    : 6
% 0.21/1.40  # Proof object initial formulas used   : 4
% 0.21/1.40  # Proof object generating inferences   : 4
% 0.21/1.40  # Proof object simplifying inferences  : 1
% 0.21/1.40  # Training examples: 0 positive, 0 negative
% 0.21/1.40  # Parsed axioms                        : 33
% 0.21/1.40  # Removed by relevancy pruning/SinE    : 23
% 0.21/1.40  # Initial clauses                      : 28
% 0.21/1.40  # Removed in clause preprocessing      : 0
% 0.21/1.40  # Initial clauses in saturation        : 28
% 0.21/1.40  # Processed clauses                    : 222
% 0.21/1.40  # ...of these trivial                  : 0
% 0.21/1.40  # ...subsumed                          : 91
% 0.21/1.40  # ...remaining for further processing  : 131
% 0.21/1.40  # Other redundant clauses eliminated   : 0
% 0.21/1.40  # Clauses deleted for lack of memory   : 0
% 0.21/1.40  # Backward-subsumed                    : 24
% 0.21/1.40  # Backward-rewritten                   : 0
% 0.21/1.40  # Generated clauses                    : 553
% 0.21/1.40  # ...of the previous two non-trivial   : 476
% 0.21/1.40  # Contextual simplify-reflections      : 44
% 0.21/1.40  # Paramodulations                      : 487
% 0.21/1.40  # Factorizations                       : 66
% 0.21/1.40  # Equation resolutions                 : 0
% 0.21/1.40  # Current number of processed clauses  : 107
% 0.21/1.40  #    Positive orientable unit clauses  : 13
% 0.21/1.40  #    Positive unorientable unit clauses: 0
% 0.21/1.40  #    Negative unit clauses             : 9
% 0.21/1.40  #    Non-unit-clauses                  : 85
% 0.21/1.40  # Current number of unprocessed clauses: 98
% 0.21/1.40  # ...number of literals in the above   : 478
% 0.21/1.40  # Current number of archived formulas  : 0
% 0.21/1.40  # Current number of archived clauses   : 24
% 0.21/1.40  # Clause-clause subsumption calls (NU) : 2223
% 0.21/1.40  # Rec. Clause-clause subsumption calls : 1253
% 0.21/1.40  # Non-unit clause-clause subsumptions  : 158
% 0.21/1.40  # Unit Clause-clause subsumption calls : 39
% 0.21/1.40  # Rewrite failures with RHS unbound    : 0
% 0.21/1.40  # BW rewrite match attempts            : 13
% 0.21/1.40  # BW rewrite match successes           : 0
% 0.21/1.40  # Condensation attempts                : 0
% 0.21/1.40  # Condensation successes               : 0
% 0.21/1.40  # Termbank termtop insertions          : 10320
% 0.21/1.40  
% 0.21/1.40  # -------------------------------------------------
% 0.21/1.40  # User time                : 0.034 s
% 0.21/1.40  # System time              : 0.001 s
% 0.21/1.40  # Total time               : 0.035 s
% 0.21/1.40  # Maximum resident set size: 3296 pages
% 0.21/23.40  eprover: CPU time limit exceeded, terminating
% 0.21/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.42  eprover: No such file or directory
% 0.21/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.42  eprover: No such file or directory
% 0.21/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.43  eprover: No such file or directory
% 0.21/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.43  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.47  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.47  eprover: No such file or directory
%------------------------------------------------------------------------------