TSTP Solution File: KRS129+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : KRS129+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n029.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 02:59:40 EDT 2022

% Result   : Theorem 0.24s 1.42s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   31 (   9 unt;   0 def)
%            Number of atoms       :   88 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   98 (  41   ~;  38   |;  14   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   31 (   8 sgn  20   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
    ( ! [X4] :
        ( cowlThing(X4)
        & ~ cowlNothing(X4) )
    & ! [X4] :
        ( xsd_string(X4)
      <=> ~ xsd_integer(X4) )
    & cEuroMP(iKinnock) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',the_axiom) ).

fof(axiom_0,axiom,
    ! [X4] :
      ( cowlThing(X4)
      & ~ cowlNothing(X4) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_0) ).

fof(axiom_3,axiom,
    ! [X4] :
      ( cEuroMP(X4)
    <=> ? [X5] :
          ( risEuroMPFrom(X4,X5)
          & cowlThing(X5) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_3) ).

fof(axiom_5,axiom,
    ! [X4,X5] :
      ( risEuroMPFrom(X4,X5)
    <=> rhasEuroMP(X5,X4) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_5) ).

fof(axiom_1,axiom,
    ! [X4] :
      ( xsd_string(X4)
    <=> ~ xsd_integer(X4) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_1) ).

fof(axiom_13,axiom,
    rhasEuroMP(iUK,iKinnock),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_13) ).

fof(c_0_6,negated_conjecture,
    ~ ( ! [X4] :
          ( cowlThing(X4)
          & ~ cowlNothing(X4) )
      & ! [X4] :
          ( xsd_string(X4)
        <=> ~ xsd_integer(X4) )
      & cEuroMP(iKinnock) ),
    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)
      | ~ cEuroMP(iKinnock) )
    & ( xsd_string(esk3_0)
      | ~ xsd_integer(esk3_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk2_0)
      | ~ cEuroMP(iKinnock) ) ),
    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,
    ! [X5,X5] :
      ( cowlThing(X5)
      & ~ cowlNothing(X5) ),
    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,
    ! [X6,X6,X8] :
      ( ( risEuroMPFrom(X6,esk4_1(X6))
        | ~ cEuroMP(X6) )
      & ( cowlThing(esk4_1(X6))
        | ~ cEuroMP(X6) )
      & ( ~ risEuroMPFrom(X6,X8)
        | ~ cowlThing(X8)
        | cEuroMP(X6) ) ),
    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)],[axiom_3])])])])])])]) ).

fof(c_0_10,plain,
    ! [X6,X7,X6,X7] :
      ( ( ~ risEuroMPFrom(X6,X7)
        | rhasEuroMP(X7,X6) )
      & ( ~ rhasEuroMP(X7,X6)
        | risEuroMPFrom(X6,X7) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])])]) ).

cnf(c_0_11,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | ~ cEuroMP(iKinnock)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_13,plain,
    ! [X5,X5] :
      ( ( ~ xsd_string(X5)
        | ~ xsd_integer(X5) )
      & ( xsd_integer(X5)
        | xsd_string(X5) ) ),
    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_14,plain,
    ( cEuroMP(X1)
    | ~ cowlThing(X2)
    | ~ risEuroMPFrom(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ( risEuroMPFrom(X1,X2)
    | ~ rhasEuroMP(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    rhasEuroMP(iUK,iKinnock),
    inference(split_conjunct,[status(thm)],[axiom_13]) ).

cnf(c_0_17,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_integer(esk3_0)
    | ~ cEuroMP(iKinnock)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

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

cnf(c_0_19,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | ~ cEuroMP(iKinnock)
    | ~ xsd_integer(esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).

cnf(c_0_20,plain,
    ( xsd_string(X1)
    | xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_21,plain,
    ( cEuroMP(X1)
    | ~ risEuroMPFrom(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_12])]) ).

cnf(c_0_22,plain,
    risEuroMPFrom(iKinnock,iUK),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_23,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_integer(esk3_0)
    | ~ cEuroMP(iKinnock)
    | ~ xsd_string(esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_12])]) ).

cnf(c_0_24,negated_conjecture,
    ( xsd_string(esk3_0)
    | ~ cEuroMP(iKinnock) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).

cnf(c_0_25,plain,
    cEuroMP(iKinnock),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,negated_conjecture,
    ( xsd_integer(esk3_0)
    | ~ cEuroMP(iKinnock) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_23]),c_0_20]) ).

cnf(c_0_27,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_28,negated_conjecture,
    xsd_string(esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).

cnf(c_0_29,negated_conjecture,
    xsd_integer(esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_25])]) ).

cnf(c_0_30,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : KRS129+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun  7 15:51:20 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.24/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42  # Preprocessing time       : 0.017 s
% 0.24/1.42  
% 0.24/1.42  # Proof found!
% 0.24/1.42  # SZS status Theorem
% 0.24/1.42  # SZS output start CNFRefutation
% See solution above
% 0.24/1.42  # Proof object total steps             : 31
% 0.24/1.42  # Proof object clause steps            : 19
% 0.24/1.42  # Proof object formula steps           : 12
% 0.24/1.42  # Proof object conjectures             : 12
% 0.24/1.42  # Proof object clause conjectures      : 9
% 0.24/1.42  # Proof object formula conjectures     : 3
% 0.24/1.42  # Proof object initial clauses used    : 9
% 0.24/1.42  # Proof object initial formulas used   : 6
% 0.24/1.42  # Proof object generating inferences   : 5
% 0.24/1.42  # Proof object simplifying inferences  : 14
% 0.24/1.42  # Training examples: 0 positive, 0 negative
% 0.24/1.42  # Parsed axioms                        : 27
% 0.24/1.42  # Removed by relevancy pruning/SinE    : 10
% 0.24/1.42  # Initial clauses                      : 23
% 0.24/1.42  # Removed in clause preprocessing      : 12
% 0.24/1.42  # Initial clauses in saturation        : 11
% 0.24/1.42  # Processed clauses                    : 17
% 0.24/1.42  # ...of these trivial                  : 0
% 0.24/1.42  # ...subsumed                          : 0
% 0.24/1.42  # ...remaining for further processing  : 17
% 0.24/1.42  # Other redundant clauses eliminated   : 0
% 0.24/1.42  # Clauses deleted for lack of memory   : 0
% 0.24/1.42  # Backward-subsumed                    : 2
% 0.24/1.42  # Backward-rewritten                   : 2
% 0.24/1.42  # Generated clauses                    : 8
% 0.24/1.42  # ...of the previous two non-trivial   : 6
% 0.24/1.42  # Contextual simplify-reflections      : 2
% 0.24/1.42  # Paramodulations                      : 8
% 0.24/1.42  # Factorizations                       : 0
% 0.24/1.42  # Equation resolutions                 : 0
% 0.24/1.42  # Current number of processed clauses  : 13
% 0.24/1.42  #    Positive orientable unit clauses  : 6
% 0.24/1.42  #    Positive unorientable unit clauses: 0
% 0.24/1.42  #    Negative unit clauses             : 1
% 0.24/1.42  #    Non-unit-clauses                  : 6
% 0.24/1.42  # Current number of unprocessed clauses: 0
% 0.24/1.42  # ...number of literals in the above   : 0
% 0.24/1.42  # Current number of archived formulas  : 0
% 0.24/1.42  # Current number of archived clauses   : 5
% 0.24/1.42  # Clause-clause subsumption calls (NU) : 5
% 0.24/1.42  # Rec. Clause-clause subsumption calls : 5
% 0.24/1.42  # Non-unit clause-clause subsumptions  : 4
% 0.24/1.42  # Unit Clause-clause subsumption calls : 4
% 0.24/1.42  # Rewrite failures with RHS unbound    : 0
% 0.24/1.42  # BW rewrite match attempts            : 1
% 0.24/1.42  # BW rewrite match successes           : 1
% 0.24/1.42  # Condensation attempts                : 0
% 0.24/1.42  # Condensation successes               : 0
% 0.24/1.42  # Termbank termtop insertions          : 1312
% 0.24/1.42  
% 0.24/1.42  # -------------------------------------------------
% 0.24/1.42  # User time                : 0.014 s
% 0.24/1.42  # System time              : 0.003 s
% 0.24/1.42  # Total time               : 0.017 s
% 0.24/1.42  # Maximum resident set size: 2724 pages
%------------------------------------------------------------------------------