TSTP Solution File: KRS141+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : KRS141+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n020.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 02:59:54 EDT 2022

% Result   : Theorem 0.25s 1.42s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   26 (  10 unt;   0 def)
%            Number of atoms       :   77 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :   89 (  38   ~;  34   |;  12   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   20 (   4 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
    ( ! [X1] :
        ( cowlThing(X1)
        & ~ cowlNothing(X1) )
    & ! [X1] :
        ( xsd_string(X1)
      <=> ~ xsd_integer(X1) )
    & cc(io)
    & cowlThing(io) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',the_axiom) ).

fof(axiom_0,axiom,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_0) ).

fof(axiom_2,axiom,
    ! [X1] :
      ( cr(X1)
     => ! [X2] :
          ( rp(X1,X2)
         => cc(X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_2) ).

fof(axiom_5,axiom,
    rp(ii,io),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_5) ).

fof(axiom_3,axiom,
    cr(ii),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_3) ).

fof(axiom_1,axiom,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_1) ).

fof(c_0_6,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & cc(io)
      & cowlThing(io) ),
    inference(assume_negation,[status(cth)],[the_axiom]) ).

fof(c_0_7,negated_conjecture,
    ( ( ~ xsd_string(esk3_0)
      | xsd_integer(esk3_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk2_0)
      | ~ cc(io)
      | ~ cowlThing(io) )
    & ( xsd_string(esk3_0)
      | ~ xsd_integer(esk3_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk2_0)
      | ~ cc(io)
      | ~ cowlThing(io) ) ),
    inference(distribute,[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)],[c_0_6])])])])])])]) ).

fof(c_0_8,plain,
    ! [X2,X2] :
      ( cowlThing(X2)
      & ~ cowlNothing(X2) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_0])])])]) ).

fof(c_0_9,plain,
    ! [X3,X4] :
      ( ~ cr(X3)
      | ~ rp(X3,X4)
      | cc(X4) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])])]) ).

cnf(c_0_10,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_integer(esk3_0)
    | ~ cowlThing(io)
    | ~ cc(io)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    ( cc(X1)
    | ~ rp(X2,X1)
    | ~ cr(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    rp(ii,io),
    inference(split_conjunct,[status(thm)],[axiom_5]) ).

cnf(c_0_14,plain,
    cr(ii),
    inference(split_conjunct,[status(thm)],[axiom_3]) ).

fof(c_0_15,plain,
    ! [X2,X2] :
      ( ( ~ xsd_string(X2)
        | ~ xsd_integer(X2) )
      & ( xsd_integer(X2)
        | xsd_string(X2) ) ),
    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)],[axiom_1])])])])]) ).

cnf(c_0_16,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_integer(esk3_0)
    | ~ xsd_string(esk3_0)
    | ~ cc(io) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_11])]) ).

cnf(c_0_17,plain,
    cc(io),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).

cnf(c_0_18,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_19,plain,
    ( xsd_string(X1)
    | xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | ~ cowlThing(io)
    | ~ cc(io)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_21,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    xsd_integer(esk3_0),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]),c_0_18]),c_0_19]) ).

cnf(c_0_23,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | ~ xsd_integer(esk3_0)
    | ~ cc(io) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_11]),c_0_11])]) ).

cnf(c_0_24,negated_conjecture,
    ~ xsd_string(esk3_0),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_25,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_17])]),c_0_18]),c_0_22])]),c_0_24]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS141+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun  7 13:38:51 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.25/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.42  # Preprocessing time       : 0.014 s
% 0.25/1.42  
% 0.25/1.42  # Proof found!
% 0.25/1.42  # SZS status Theorem
% 0.25/1.42  # SZS output start CNFRefutation
% See solution above
% 0.25/1.42  # Proof object total steps             : 26
% 0.25/1.42  # Proof object clause steps            : 15
% 0.25/1.42  # Proof object formula steps           : 11
% 0.25/1.42  # Proof object conjectures             : 10
% 0.25/1.42  # Proof object clause conjectures      : 7
% 0.25/1.42  # Proof object formula conjectures     : 3
% 0.25/1.42  # Proof object initial clauses used    : 9
% 0.25/1.42  # Proof object initial formulas used   : 6
% 0.25/1.42  # Proof object generating inferences   : 2
% 0.25/1.42  # Proof object simplifying inferences  : 18
% 0.25/1.42  # Training examples: 0 positive, 0 negative
% 0.25/1.42  # Parsed axioms                        : 8
% 0.25/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.25/1.42  # Initial clauses                      : 11
% 0.25/1.42  # Removed in clause preprocessing      : 3
% 0.25/1.42  # Initial clauses in saturation        : 8
% 0.25/1.42  # Processed clauses                    : 12
% 0.25/1.42  # ...of these trivial                  : 0
% 0.25/1.42  # ...subsumed                          : 0
% 0.25/1.42  # ...remaining for further processing  : 11
% 0.25/1.42  # Other redundant clauses eliminated   : 0
% 0.25/1.42  # Clauses deleted for lack of memory   : 0
% 0.25/1.42  # Backward-subsumed                    : 0
% 0.25/1.42  # Backward-rewritten                   : 2
% 0.25/1.42  # Generated clauses                    : 5
% 0.25/1.42  # ...of the previous two non-trivial   : 6
% 0.25/1.42  # Contextual simplify-reflections      : 1
% 0.25/1.42  # Paramodulations                      : 5
% 0.25/1.42  # Factorizations                       : 0
% 0.25/1.42  # Equation resolutions                 : 0
% 0.25/1.42  # Current number of processed clauses  : 9
% 0.25/1.42  #    Positive orientable unit clauses  : 4
% 0.25/1.42  #    Positive unorientable unit clauses: 0
% 0.25/1.42  #    Negative unit clauses             : 2
% 0.25/1.42  #    Non-unit-clauses                  : 3
% 0.25/1.42  # Current number of unprocessed clauses: 0
% 0.25/1.42  # ...number of literals in the above   : 0
% 0.25/1.42  # Current number of archived formulas  : 0
% 0.25/1.42  # Current number of archived clauses   : 3
% 0.25/1.42  # Clause-clause subsumption calls (NU) : 1
% 0.25/1.42  # Rec. Clause-clause subsumption calls : 1
% 0.25/1.42  # Non-unit clause-clause subsumptions  : 1
% 0.25/1.42  # Unit Clause-clause subsumption calls : 3
% 0.25/1.42  # Rewrite failures with RHS unbound    : 0
% 0.25/1.42  # BW rewrite match attempts            : 1
% 0.25/1.42  # BW rewrite match successes           : 1
% 0.25/1.42  # Condensation attempts                : 0
% 0.25/1.42  # Condensation successes               : 0
% 0.25/1.42  # Termbank termtop insertions          : 539
% 0.25/1.42  
% 0.25/1.42  # -------------------------------------------------
% 0.25/1.42  # User time                : 0.014 s
% 0.25/1.42  # System time              : 0.001 s
% 0.25/1.42  # Total time               : 0.015 s
% 0.25/1.42  # Maximum resident set size: 2768 pages
%------------------------------------------------------------------------------