↑ Up

ET---2.0.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : KRS131+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 02:59:41 EDT 2022

% Result   : Theorem 0.16s 1.35s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   47 (   6 unt;   0 def)
%            Number of atoms       :  167 (   0 equ)
%            Maximal formula atoms :   24 (   3 avg)
%            Number of connectives :  195 (  75   ~;  93   |;  17   &)
%                                         (   7 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-1 aty)
%            Number of variables   :   47 (   9 sgn  26   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
    ( ! [X1] :
        ( cowlThing(X1)
        & ~ cowlNothing(X1) )
    & ! [X1] :
        ( xsd_string(X1)
      <=> ~ xsd_integer(X1) )
    & ! [X1] :
        ( cnotA(X1)
      <=> ~ cA(X1) ) ),
    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_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_2,axiom,
    ! [X1] :
      ( cA(X1)
    <=> ? [X2] :
          ( rq(X1,X2)
          & cowlThing(X2) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_2) ).

fof(axiom_5,axiom,
    ! [X1] :
      ( cnotA(X1)
    <=> ! [X2] :
          ( rq(X1,X2)
         => cNothing(X2) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_5) ).

fof(axiom_4,axiom,
    ! [X1] :
      ( cNothing(X1)
     => ? [X3] : rp(X1,X3) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_4) ).

fof(axiom_3,axiom,
    ! [X1] :
      ( cNothing(X1)
     => ~ ? [X2] : rp(X1,X2) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_3) ).

fof(c_0_7,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & ! [X1] :
          ( cnotA(X1)
        <=> ~ cA(X1) ) ),
    inference(assume_negation,[status(cth)],[the_axiom]) ).

fof(c_0_8,negated_conjecture,
    ( ( ~ cnotA(esk7_0)
      | cA(esk7_0)
      | ~ xsd_string(esk6_0)
      | xsd_integer(esk6_0)
      | ~ cowlThing(esk4_0)
      | cowlNothing(esk5_0) )
    & ( cnotA(esk7_0)
      | ~ cA(esk7_0)
      | ~ xsd_string(esk6_0)
      | xsd_integer(esk6_0)
      | ~ cowlThing(esk4_0)
      | cowlNothing(esk5_0) )
    & ( ~ cnotA(esk7_0)
      | cA(esk7_0)
      | xsd_string(esk6_0)
      | ~ xsd_integer(esk6_0)
      | ~ cowlThing(esk4_0)
      | cowlNothing(esk5_0) )
    & ( cnotA(esk7_0)
      | ~ cA(esk7_0)
      | xsd_string(esk6_0)
      | ~ xsd_integer(esk6_0)
      | ~ cowlThing(esk4_0)
      | cowlNothing(esk5_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_7])])])])])])]) ).

fof(c_0_9,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_10,negated_conjecture,
    ( cowlNothing(esk5_0)
    | xsd_string(esk6_0)
    | cnotA(esk7_0)
    | ~ cowlThing(esk4_0)
    | ~ xsd_integer(esk6_0)
    | ~ cA(esk7_0) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_12,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_13,negated_conjecture,
    ( cowlNothing(esk5_0)
    | xsd_integer(esk6_0)
    | cnotA(esk7_0)
    | ~ cowlThing(esk4_0)
    | ~ xsd_string(esk6_0)
    | ~ cA(esk7_0) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_14,plain,
    ! [X3,X3,X5] :
      ( ( rq(X3,esk1_1(X3))
        | ~ cA(X3) )
      & ( cowlThing(esk1_1(X3))
        | ~ cA(X3) )
      & ( ~ rq(X3,X5)
        | ~ cowlThing(X5)
        | cA(X3) ) ),
    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_2])])])])])])]) ).

cnf(c_0_15,negated_conjecture,
    ( cowlNothing(esk5_0)
    | xsd_string(esk6_0)
    | cnotA(esk7_0)
    | ~ xsd_integer(esk6_0)
    | ~ cA(esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).

cnf(c_0_16,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_17,plain,
    ( xsd_string(X1)
    | xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,negated_conjecture,
    ( cowlNothing(esk5_0)
    | xsd_integer(esk6_0)
    | cnotA(esk7_0)
    | ~ xsd_string(esk6_0)
    | ~ cA(esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_11])]) ).

cnf(c_0_19,plain,
    ( cA(X1)
    | ~ cowlThing(X2)
    | ~ rq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_20,plain,
    ! [X3,X4,X3] :
      ( ( ~ cnotA(X3)
        | ~ rq(X3,X4)
        | cNothing(X4) )
      & ( rq(X3,esk3_1(X3))
        | cnotA(X3) )
      & ( ~ cNothing(esk3_1(X3))
        | cnotA(X3) ) ),
    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_5])])])])])])]) ).

cnf(c_0_21,negated_conjecture,
    ( cowlNothing(esk5_0)
    | xsd_string(esk6_0)
    | cA(esk7_0)
    | ~ cowlThing(esk4_0)
    | ~ xsd_integer(esk6_0)
    | ~ cnotA(esk7_0) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_22,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_23,negated_conjecture,
    ( cnotA(esk7_0)
    | xsd_string(esk6_0)
    | ~ cA(esk7_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    ( cnotA(esk7_0)
    | xsd_integer(esk6_0)
    | ~ cA(esk7_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_18,c_0_16]),c_0_17]) ).

cnf(c_0_25,plain,
    ( cA(X1)
    | ~ rq(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_11])]) ).

cnf(c_0_26,plain,
    ( cnotA(X1)
    | rq(X1,esk3_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,negated_conjecture,
    ( cowlNothing(esk5_0)
    | xsd_integer(esk6_0)
    | cA(esk7_0)
    | ~ cowlThing(esk4_0)
    | ~ xsd_string(esk6_0)
    | ~ cnotA(esk7_0) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_28,plain,
    ! [X4] :
      ( ~ cNothing(X4)
      | rp(X4,esk2_1(X4)) ),
    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_4])])])])]) ).

fof(c_0_29,plain,
    ! [X3,X4] :
      ( ~ cNothing(X3)
      | ~ rp(X3,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_3])])])])]) ).

cnf(c_0_30,negated_conjecture,
    ( cowlNothing(esk5_0)
    | xsd_string(esk6_0)
    | cA(esk7_0)
    | ~ xsd_integer(esk6_0)
    | ~ cnotA(esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_11])]) ).

cnf(c_0_31,negated_conjecture,
    ( cnotA(esk7_0)
    | ~ cA(esk7_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).

cnf(c_0_32,plain,
    ( cnotA(X1)
    | cA(X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_33,negated_conjecture,
    ( cowlNothing(esk5_0)
    | xsd_integer(esk6_0)
    | cA(esk7_0)
    | ~ xsd_string(esk6_0)
    | ~ cnotA(esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_11])]) ).

cnf(c_0_34,plain,
    ( rp(X1,esk2_1(X1))
    | ~ cNothing(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_35,plain,
    ( ~ rp(X1,X2)
    | ~ cNothing(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_36,negated_conjecture,
    ( cA(esk7_0)
    | xsd_string(esk6_0)
    | cowlNothing(esk5_0)
    | ~ cnotA(esk7_0) ),
    inference(csr,[status(thm)],[c_0_30,c_0_17]) ).

cnf(c_0_37,negated_conjecture,
    cnotA(esk7_0),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_38,negated_conjecture,
    ( cA(esk7_0)
    | xsd_integer(esk6_0)
    | ~ cnotA(esk7_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_33,c_0_16]),c_0_17]) ).

cnf(c_0_39,plain,
    ( cNothing(X1)
    | ~ rq(X2,X1)
    | ~ cnotA(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_40,plain,
    ( rq(X1,esk1_1(X1))
    | ~ cA(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_41,plain,
    ~ cNothing(X1),
    inference(csr,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_42,negated_conjecture,
    ( cA(esk7_0)
    | xsd_string(esk6_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]),c_0_16]) ).

cnf(c_0_43,negated_conjecture,
    ( cA(esk7_0)
    | xsd_integer(esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_37])]) ).

cnf(c_0_44,plain,
    ( ~ cnotA(X1)
    | ~ cA(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).

cnf(c_0_45,negated_conjecture,
    cA(esk7_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_42]),c_0_43]) ).

cnf(c_0_46,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_37])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : KRS131+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.07  % Command  : run_ET %s %d
% 0.06/0.27  % Computer : n029.cluster.edu
% 0.06/0.27  % Model    : x86_64 x86_64
% 0.06/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.27  % Memory   : 8042.1875MB
% 0.06/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.27  % CPULimit : 300
% 0.06/0.27  % WCLimit  : 600
% 0.06/0.27  % DateTime : Tue Jun  7 12:43:05 EDT 2022
% 0.06/0.27  % CPUTime  : 
% 0.16/1.35  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.16/1.35  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.16/1.35  # Preprocessing time       : 0.015 s
% 0.16/1.35  
% 0.16/1.35  # Failure: Out of unprocessed clauses!
% 0.16/1.35  # OLD status GaveUp
% 0.16/1.35  # Parsed axioms                        : 7
% 0.16/1.35  # Removed by relevancy pruning/SinE    : 2
% 0.16/1.35  # Initial clauses                      : 14
% 0.16/1.35  # Removed in clause preprocessing      : 2
% 0.16/1.35  # Initial clauses in saturation        : 12
% 0.16/1.35  # Processed clauses                    : 22
% 0.16/1.35  # ...of these trivial                  : 1
% 0.16/1.35  # ...subsumed                          : 0
% 0.16/1.35  # ...remaining for further processing  : 21
% 0.16/1.35  # Other redundant clauses eliminated   : 0
% 0.16/1.35  # Clauses deleted for lack of memory   : 0
% 0.16/1.35  # Backward-subsumed                    : 5
% 0.16/1.35  # Backward-rewritten                   : 4
% 0.16/1.35  # Generated clauses                    : 12
% 0.16/1.35  # ...of the previous two non-trivial   : 10
% 0.16/1.35  # Contextual simplify-reflections      : 8
% 0.16/1.35  # Paramodulations                      : 12
% 0.16/1.35  # Factorizations                       : 0
% 0.16/1.35  # Equation resolutions                 : 0
% 0.16/1.35  # Current number of processed clauses  : 12
% 0.16/1.35  #    Positive orientable unit clauses  : 2
% 0.16/1.35  #    Positive unorientable unit clauses: 0
% 0.16/1.35  #    Negative unit clauses             : 1
% 0.16/1.35  #    Non-unit-clauses                  : 9
% 0.16/1.35  # Current number of unprocessed clauses: 0
% 0.16/1.35  # ...number of literals in the above   : 0
% 0.16/1.35  # Current number of archived formulas  : 0
% 0.16/1.35  # Current number of archived clauses   : 10
% 0.16/1.35  # Clause-clause subsumption calls (NU) : 71
% 0.16/1.35  # Rec. Clause-clause subsumption calls : 49
% 0.16/1.35  # Non-unit clause-clause subsumptions  : 12
% 0.16/1.35  # Unit Clause-clause subsumption calls : 5
% 0.16/1.35  # Rewrite failures with RHS unbound    : 0
% 0.16/1.35  # BW rewrite match attempts            : 2
% 0.16/1.35  # BW rewrite match successes           : 2
% 0.16/1.35  # Condensation attempts                : 0
% 0.16/1.35  # Condensation successes               : 0
% 0.16/1.35  # Termbank termtop insertions          : 949
% 0.16/1.35  
% 0.16/1.35  # -------------------------------------------------
% 0.16/1.35  # User time                : 0.011 s
% 0.16/1.35  # System time              : 0.005 s
% 0.16/1.35  # Total time               : 0.016 s
% 0.16/1.35  # Maximum resident set size: 2772 pages
% 0.16/1.35  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.16/1.35  # Preprocessing time       : 0.015 s
% 0.16/1.35  
% 0.16/1.35  # Proof found!
% 0.16/1.35  # SZS status Theorem
% 0.16/1.35  # SZS output start CNFRefutation
% See solution above
% 0.16/1.35  # Proof object total steps             : 47
% 0.16/1.35  # Proof object clause steps            : 32
% 0.16/1.35  # Proof object formula steps           : 15
% 0.16/1.35  # Proof object conjectures             : 21
% 0.16/1.35  # Proof object clause conjectures      : 18
% 0.16/1.35  # Proof object formula conjectures     : 3
% 0.16/1.35  # Proof object initial clauses used    : 14
% 0.16/1.35  # Proof object initial formulas used   : 7
% 0.16/1.35  # Proof object generating inferences   : 6
% 0.16/1.35  # Proof object simplifying inferences  : 28
% 0.16/1.35  # Training examples: 0 positive, 0 negative
% 0.16/1.35  # Parsed axioms                        : 7
% 0.16/1.35  # Removed by relevancy pruning/SinE    : 0
% 0.16/1.35  # Initial clauses                      : 16
% 0.16/1.35  # Removed in clause preprocessing      : 2
% 0.16/1.35  # Initial clauses in saturation        : 14
% 0.16/1.35  # Processed clauses                    : 21
% 0.16/1.35  # ...of these trivial                  : 0
% 0.16/1.35  # ...subsumed                          : 0
% 0.16/1.35  # ...remaining for further processing  : 21
% 0.16/1.35  # Other redundant clauses eliminated   : 0
% 0.16/1.35  # Clauses deleted for lack of memory   : 0
% 0.16/1.35  # Backward-subsumed                    : 3
% 0.16/1.35  # Backward-rewritten                   : 4
% 0.16/1.35  # Generated clauses                    : 13
% 0.16/1.35  # ...of the previous two non-trivial   : 8
% 0.16/1.35  # Contextual simplify-reflections      : 7
% 0.16/1.35  # Paramodulations                      : 13
% 0.16/1.35  # Factorizations                       : 0
% 0.16/1.35  # Equation resolutions                 : 0
% 0.16/1.35  # Current number of processed clauses  : 14
% 0.16/1.35  #    Positive orientable unit clauses  : 2
% 0.16/1.35  #    Positive unorientable unit clauses: 0
% 0.16/1.35  #    Negative unit clauses             : 2
% 0.16/1.35  #    Non-unit-clauses                  : 10
% 0.16/1.35  # Current number of unprocessed clauses: 0
% 0.16/1.35  # ...number of literals in the above   : 0
% 0.16/1.35  # Current number of archived formulas  : 0
% 0.16/1.35  # Current number of archived clauses   : 8
% 0.16/1.35  # Clause-clause subsumption calls (NU) : 31
% 0.16/1.35  # Rec. Clause-clause subsumption calls : 21
% 0.16/1.35  # Non-unit clause-clause subsumptions  : 9
% 0.16/1.35  # Unit Clause-clause subsumption calls : 3
% 0.16/1.35  # Rewrite failures with RHS unbound    : 0
% 0.16/1.35  # BW rewrite match attempts            : 2
% 0.16/1.35  # BW rewrite match successes           : 2
% 0.16/1.35  # Condensation attempts                : 0
% 0.16/1.35  # Condensation successes               : 0
% 0.16/1.35  # Termbank termtop insertions          : 1052
% 0.16/1.35  
% 0.16/1.35  # -------------------------------------------------
% 0.16/1.35  # User time                : 0.016 s
% 0.16/1.35  # System time              : 0.000 s
% 0.16/1.35  # Total time               : 0.016 s
% 0.16/1.35  # Maximum resident set size: 2776 pages
%------------------------------------------------------------------------------