TSTP Solution File: KRS165+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : KRS165+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n018.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 03:00:00 EDT 2022

% Result   : Theorem 0.22s 1.40s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   50 (   7 unt;   0 def)
%            Number of atoms       :  219 (   0 equ)
%            Maximal formula atoms :   48 (   4 avg)
%            Number of connectives :  267 (  98   ~; 142   |;  19   &)
%                                         (   4 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 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   :   23 (   5 sgn  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
    ( ! [X1] :
        ( cowlThing(X1)
        & ~ cowlNothing(X1) )
    & ! [X1] :
        ( xsd_string(X1)
      <=> ~ xsd_integer(X1) )
    & ! [X1] :
        ( cAutomobile(X1)
       => cCar(X1) )
    & ! [X1] :
        ( cCar(X1)
       => cAutomobile(X1) ) ),
    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_1,axiom,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_1) ).

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

fof(c_0_4,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & ! [X1] :
          ( cAutomobile(X1)
         => cCar(X1) )
      & ! [X1] :
          ( cCar(X1)
         => cAutomobile(X1) ) ),
    inference(assume_negation,[status(cth)],[the_axiom]) ).

fof(c_0_5,negated_conjecture,
    ( ( cCar(esk5_0)
      | cAutomobile(esk4_0)
      | ~ xsd_string(esk3_0)
      | xsd_integer(esk3_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk2_0) )
    & ( ~ cAutomobile(esk5_0)
      | cAutomobile(esk4_0)
      | ~ xsd_string(esk3_0)
      | xsd_integer(esk3_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk2_0) )
    & ( cCar(esk5_0)
      | ~ cCar(esk4_0)
      | ~ xsd_string(esk3_0)
      | xsd_integer(esk3_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk2_0) )
    & ( ~ cAutomobile(esk5_0)
      | ~ cCar(esk4_0)
      | ~ xsd_string(esk3_0)
      | xsd_integer(esk3_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk2_0) )
    & ( cCar(esk5_0)
      | cAutomobile(esk4_0)
      | xsd_string(esk3_0)
      | ~ xsd_integer(esk3_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk2_0) )
    & ( ~ cAutomobile(esk5_0)
      | cAutomobile(esk4_0)
      | xsd_string(esk3_0)
      | ~ xsd_integer(esk3_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk2_0) )
    & ( cCar(esk5_0)
      | ~ cCar(esk4_0)
      | xsd_string(esk3_0)
      | ~ xsd_integer(esk3_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk2_0) )
    & ( ~ cAutomobile(esk5_0)
      | ~ cCar(esk4_0)
      | xsd_string(esk3_0)
      | ~ xsd_integer(esk3_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk2_0) ) ),
    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_4])])])])])])]) ).

fof(c_0_6,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])])])]) ).

cnf(c_0_7,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_integer(esk3_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk3_0)
    | ~ cCar(esk4_0)
    | ~ cAutomobile(esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_9,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_10,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_integer(esk3_0)
    | cCar(esk5_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk3_0)
    | ~ cCar(esk4_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_integer(esk3_0)
    | cAutomobile(esk4_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk3_0)
    | ~ cAutomobile(esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_12,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_integer(esk3_0)
    | ~ xsd_string(esk3_0)
    | ~ cCar(esk4_0)
    | ~ cAutomobile(esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).

cnf(c_0_13,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_14,plain,
    ( xsd_string(X1)
    | xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_15,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_16,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_integer(esk3_0)
    | cCar(esk5_0)
    | ~ xsd_string(esk3_0)
    | ~ cCar(esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_8])]) ).

cnf(c_0_17,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk3_0)
    | ~ cCar(esk4_0)
    | ~ cAutomobile(esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_18,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | cCar(esk5_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk3_0)
    | ~ cCar(esk4_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_19,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | cAutomobile(esk4_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk3_0)
    | ~ cAutomobile(esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_20,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_integer(esk3_0)
    | cAutomobile(esk4_0)
    | ~ xsd_string(esk3_0)
    | ~ cAutomobile(esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_8])]) ).

cnf(c_0_21,negated_conjecture,
    ( xsd_integer(esk3_0)
    | ~ cAutomobile(esk5_0)
    | ~ cCar(esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).

cnf(c_0_22,plain,
    ( cAutomobile(X1)
    | ~ cCar(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,negated_conjecture,
    ( cCar(esk5_0)
    | xsd_integer(esk3_0)
    | ~ cCar(esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_16,c_0_13]),c_0_14]) ).

cnf(c_0_24,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | ~ xsd_integer(esk3_0)
    | ~ cCar(esk4_0)
    | ~ cAutomobile(esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_8])]) ).

cnf(c_0_25,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | cCar(esk5_0)
    | ~ xsd_integer(esk3_0)
    | ~ cCar(esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_8])]) ).

cnf(c_0_26,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | cAutomobile(esk4_0)
    | ~ xsd_integer(esk3_0)
    | ~ cAutomobile(esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_8])]) ).

cnf(c_0_27,plain,
    ( cCar(X1)
    | ~ cAutomobile(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_28,negated_conjecture,
    ( cAutomobile(esk4_0)
    | xsd_integer(esk3_0)
    | ~ cAutomobile(esk5_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_20,c_0_13]),c_0_14]) ).

cnf(c_0_29,negated_conjecture,
    ( xsd_integer(esk3_0)
    | ~ cCar(esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

cnf(c_0_30,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_31,negated_conjecture,
    ( xsd_string(esk3_0)
    | ~ cAutomobile(esk5_0)
    | ~ cCar(esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_24]),c_0_14]) ).

cnf(c_0_32,negated_conjecture,
    ( cCar(esk5_0)
    | xsd_string(esk3_0)
    | ~ cCar(esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_25,c_0_13]),c_0_14]) ).

cnf(c_0_33,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | cAutomobile(esk4_0)
    | cCar(esk5_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_34,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_integer(esk3_0)
    | cAutomobile(esk4_0)
    | cCar(esk5_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_35,negated_conjecture,
    ( cAutomobile(esk4_0)
    | xsd_string(esk3_0)
    | ~ cAutomobile(esk5_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_26,c_0_13]),c_0_14]) ).

cnf(c_0_36,negated_conjecture,
    ( xsd_integer(esk3_0)
    | ~ cAutomobile(esk5_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ cAutomobile(esk5_0)
    | ~ cCar(esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_29]) ).

cnf(c_0_38,negated_conjecture,
    ( cCar(esk5_0)
    | ~ cCar(esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_32]),c_0_29]) ).

cnf(c_0_39,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | cCar(esk5_0)
    | cAutomobile(esk4_0)
    | ~ xsd_integer(esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_8])]) ).

cnf(c_0_40,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_integer(esk3_0)
    | cCar(esk5_0)
    | cAutomobile(esk4_0)
    | ~ xsd_string(esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_8])]) ).

cnf(c_0_41,negated_conjecture,
    ( cAutomobile(esk4_0)
    | ~ cAutomobile(esk5_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_35]),c_0_36]) ).

cnf(c_0_42,negated_conjecture,
    ~ cCar(esk4_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_22]),c_0_38]) ).

cnf(c_0_43,negated_conjecture,
    ( cAutomobile(esk4_0)
    | cCar(esk5_0)
    | xsd_string(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_39]),c_0_14]) ).

cnf(c_0_44,negated_conjecture,
    ( cAutomobile(esk4_0)
    | cCar(esk5_0)
    | xsd_integer(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_40]),c_0_14]) ).

cnf(c_0_45,negated_conjecture,
    ~ cAutomobile(esk5_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_41]),c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    ( cAutomobile(esk4_0)
    | cCar(esk5_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_43]),c_0_44]) ).

cnf(c_0_47,negated_conjecture,
    ~ cCar(esk5_0),
    inference(spm,[status(thm)],[c_0_45,c_0_22]) ).

cnf(c_0_48,negated_conjecture,
    cAutomobile(esk4_0),
    inference(sr,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_49,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_48]),c_0_42]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem  : KRS165+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n018.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 19:32:06 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.22/1.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40  # Preprocessing time       : 0.014 s
% 0.22/1.40  
% 0.22/1.40  # Proof found!
% 0.22/1.40  # SZS status Theorem
% 0.22/1.40  # SZS output start CNFRefutation
% See solution above
% 0.22/1.40  # Proof object total steps             : 50
% 0.22/1.40  # Proof object clause steps            : 41
% 0.22/1.40  # Proof object formula steps           : 9
% 0.22/1.40  # Proof object conjectures             : 38
% 0.22/1.40  # Proof object clause conjectures      : 35
% 0.22/1.40  # Proof object formula conjectures     : 3
% 0.22/1.40  # Proof object initial clauses used    : 14
% 0.22/1.40  # Proof object initial formulas used   : 4
% 0.22/1.40  # Proof object generating inferences   : 13
% 0.22/1.40  # Proof object simplifying inferences  : 39
% 0.22/1.40  # Training examples: 0 positive, 0 negative
% 0.22/1.40  # Parsed axioms                        : 4
% 0.22/1.40  # Removed by relevancy pruning/SinE    : 0
% 0.22/1.40  # Initial clauses                      : 14
% 0.22/1.40  # Removed in clause preprocessing      : 1
% 0.22/1.40  # Initial clauses in saturation        : 13
% 0.22/1.40  # Processed clauses                    : 27
% 0.22/1.40  # ...of these trivial                  : 0
% 0.22/1.40  # ...subsumed                          : 0
% 0.22/1.40  # ...remaining for further processing  : 27
% 0.22/1.40  # Other redundant clauses eliminated   : 0
% 0.22/1.40  # Clauses deleted for lack of memory   : 0
% 0.22/1.40  # Backward-subsumed                    : 12
% 0.22/1.40  # Backward-rewritten                   : 0
% 0.22/1.40  # Generated clauses                    : 19
% 0.22/1.40  # ...of the previous two non-trivial   : 16
% 0.22/1.40  # Contextual simplify-reflections      : 15
% 0.22/1.40  # Paramodulations                      : 18
% 0.22/1.40  # Factorizations                       : 0
% 0.22/1.40  # Equation resolutions                 : 0
% 0.22/1.40  # Current number of processed clauses  : 14
% 0.22/1.40  #    Positive orientable unit clauses  : 1
% 0.22/1.40  #    Positive unorientable unit clauses: 0
% 0.22/1.40  #    Negative unit clauses             : 4
% 0.22/1.40  #    Non-unit-clauses                  : 9
% 0.22/1.40  # Current number of unprocessed clauses: 0
% 0.22/1.40  # ...number of literals in the above   : 0
% 0.22/1.40  # Current number of archived formulas  : 0
% 0.22/1.40  # Current number of archived clauses   : 14
% 0.22/1.40  # Clause-clause subsumption calls (NU) : 45
% 0.22/1.40  # Rec. Clause-clause subsumption calls : 44
% 0.22/1.40  # Non-unit clause-clause subsumptions  : 26
% 0.22/1.40  # Unit Clause-clause subsumption calls : 17
% 0.22/1.40  # Rewrite failures with RHS unbound    : 0
% 0.22/1.40  # BW rewrite match attempts            : 1
% 0.22/1.40  # BW rewrite match successes           : 1
% 0.22/1.40  # Condensation attempts                : 0
% 0.22/1.40  # Condensation successes               : 0
% 0.22/1.40  # Termbank termtop insertions          : 863
% 0.22/1.40  
% 0.22/1.40  # -------------------------------------------------
% 0.22/1.40  # User time                : 0.013 s
% 0.22/1.40  # System time              : 0.003 s
% 0.22/1.40  # Total time               : 0.016 s
% 0.22/1.40  # Maximum resident set size: 2764 pages
%------------------------------------------------------------------------------