TSTP Solution File: KRS137+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : KRS137+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n032.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 02:59:52 EDT 2022

% Result   : Theorem 0.12s 1.32s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   28 (   9 unt;   0 def)
%            Number of atoms       :   95 (   0 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  117 (  50   ~;  46   |;  17   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   19 (   5 sgn  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
    ( ! [X1] :
        ( cowlThing(X1)
        & ~ cowlNothing(X1) )
    & ! [X1] :
        ( xsd_string(X1)
      <=> ~ xsd_integer(X1) )
    & cCar(iauto)
    & cowlThing(iauto)
    & cowlThing(icar)
    & cAutomobile(icar) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',the_axiom) ).

fof(axiom_0,axiom,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_0) ).

fof(axiom_2,axiom,
    ! [X1] :
      ( cCar(X1)
    <=> cAutomobile(X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_2) ).

fof(axiom_4,axiom,
    cAutomobile(iauto),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_4) ).

fof(axiom_1,axiom,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_1) ).

fof(axiom_6,axiom,
    cCar(icar),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_6) ).

fof(c_0_6,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & cCar(iauto)
      & cowlThing(iauto)
      & cowlThing(icar)
      & cAutomobile(icar) ),
    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)
      | ~ cCar(iauto)
      | ~ cowlThing(iauto)
      | ~ cowlThing(icar)
      | ~ cAutomobile(icar) )
    & ( xsd_string(esk3_0)
      | ~ xsd_integer(esk3_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk2_0)
      | ~ cCar(iauto)
      | ~ cowlThing(iauto)
      | ~ cowlThing(icar)
      | ~ cAutomobile(icar) ) ),
    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,
    ! [X2,X2] :
      ( ( ~ cCar(X2)
        | cAutomobile(X2) )
      & ( ~ cAutomobile(X2)
        | cCar(X2) ) ),
    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)
    | ~ cAutomobile(icar)
    | ~ cowlThing(icar)
    | ~ cowlThing(iauto)
    | ~ cCar(iauto)
    | ~ 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,
    ( cCar(X1)
    | ~ cAutomobile(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    cAutomobile(iauto),
    inference(split_conjunct,[status(thm)],[axiom_4]) ).

fof(c_0_14,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_15,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | ~ cAutomobile(icar)
    | ~ cowlThing(icar)
    | ~ cowlThing(iauto)
    | ~ cCar(iauto)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_16,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_integer(esk3_0)
    | ~ xsd_string(esk3_0)
    | ~ cCar(iauto)
    | ~ cAutomobile(icar) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_11]),c_0_11])]) ).

cnf(c_0_17,plain,
    cCar(iauto),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

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_14]) ).

cnf(c_0_20,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | ~ xsd_integer(esk3_0)
    | ~ cCar(iauto)
    | ~ cAutomobile(icar) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_11]),c_0_11]),c_0_11])]) ).

cnf(c_0_21,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,negated_conjecture,
    ( xsd_integer(esk3_0)
    | ~ cAutomobile(icar) ),
    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,
    ( xsd_string(esk3_0)
    | ~ cAutomobile(icar) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_17])]),c_0_18]),c_0_19]) ).

cnf(c_0_24,negated_conjecture,
    ~ cAutomobile(icar),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

cnf(c_0_25,plain,
    ( cAutomobile(X1)
    | ~ cCar(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_26,plain,
    cCar(icar),
    inference(split_conjunct,[status(thm)],[axiom_6]) ).

cnf(c_0_27,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : KRS137+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.08  % Command  : run_ET %s %d
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 600
% 0.07/0.27  % DateTime : Tue Jun  7 15:57:50 EDT 2022
% 0.11/0.27  % CPUTime  : 
% 0.12/1.32  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.12/1.32  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.12/1.32  # Preprocessing time       : 0.008 s
% 0.12/1.32  
% 0.12/1.32  # Proof found!
% 0.12/1.32  # SZS status Theorem
% 0.12/1.32  # SZS output start CNFRefutation
% See solution above
% 0.12/1.32  # Proof object total steps             : 28
% 0.12/1.32  # Proof object clause steps            : 17
% 0.12/1.32  # Proof object formula steps           : 11
% 0.12/1.32  # Proof object conjectures             : 11
% 0.12/1.32  # Proof object clause conjectures      : 8
% 0.12/1.32  # Proof object formula conjectures     : 3
% 0.12/1.32  # Proof object initial clauses used    : 10
% 0.12/1.32  # Proof object initial formulas used   : 6
% 0.12/1.32  # Proof object generating inferences   : 3
% 0.12/1.32  # Proof object simplifying inferences  : 19
% 0.12/1.32  # Training examples: 0 positive, 0 negative
% 0.12/1.32  # Parsed axioms                        : 8
% 0.12/1.32  # Removed by relevancy pruning/SinE    : 0
% 0.12/1.32  # Initial clauses                      : 12
% 0.12/1.32  # Removed in clause preprocessing      : 3
% 0.12/1.32  # Initial clauses in saturation        : 9
% 0.12/1.32  # Processed clauses                    : 13
% 0.12/1.32  # ...of these trivial                  : 0
% 0.12/1.32  # ...subsumed                          : 0
% 0.12/1.32  # ...remaining for further processing  : 13
% 0.12/1.32  # Other redundant clauses eliminated   : 0
% 0.12/1.32  # Clauses deleted for lack of memory   : 0
% 0.12/1.32  # Backward-subsumed                    : 0
% 0.12/1.32  # Backward-rewritten                   : 2
% 0.12/1.32  # Generated clauses                    : 7
% 0.12/1.32  # ...of the previous two non-trivial   : 6
% 0.12/1.32  # Contextual simplify-reflections      : 3
% 0.12/1.32  # Paramodulations                      : 7
% 0.12/1.32  # Factorizations                       : 0
% 0.12/1.32  # Equation resolutions                 : 0
% 0.12/1.32  # Current number of processed clauses  : 11
% 0.12/1.32  #    Positive orientable unit clauses  : 3
% 0.12/1.32  #    Positive unorientable unit clauses: 0
% 0.12/1.32  #    Negative unit clauses             : 2
% 0.12/1.32  #    Non-unit-clauses                  : 6
% 0.12/1.32  # Current number of unprocessed clauses: 0
% 0.12/1.32  # ...number of literals in the above   : 0
% 0.12/1.32  # Current number of archived formulas  : 0
% 0.12/1.32  # Current number of archived clauses   : 3
% 0.12/1.32  # Clause-clause subsumption calls (NU) : 3
% 0.12/1.32  # Rec. Clause-clause subsumption calls : 3
% 0.12/1.32  # Non-unit clause-clause subsumptions  : 3
% 0.12/1.32  # Unit Clause-clause subsumption calls : 5
% 0.12/1.32  # Rewrite failures with RHS unbound    : 0
% 0.12/1.32  # BW rewrite match attempts            : 1
% 0.12/1.32  # BW rewrite match successes           : 1
% 0.12/1.32  # Condensation attempts                : 0
% 0.12/1.32  # Condensation successes               : 0
% 0.12/1.32  # Termbank termtop insertions          : 614
% 0.12/1.32  
% 0.12/1.32  # -------------------------------------------------
% 0.12/1.32  # User time                : 0.007 s
% 0.12/1.32  # System time              : 0.002 s
% 0.12/1.32  # Total time               : 0.009 s
% 0.12/1.32  # Maximum resident set size: 2768 pages
%------------------------------------------------------------------------------