TSTP Solution File: KRS168+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : KRS168+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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  : 300s
% DateTime : Sat May  4 08:12:27 EDT 2024

% Result   : Theorem 0.21s 0.49s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   38 (   5 unt;   0 def)
%            Number of atoms       :  205 (   0 equ)
%            Maximal formula atoms :   64 (   5 avg)
%            Number of connectives :  272 ( 105   ~; 140   |;  21   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   16 (   2 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
    ( ! [X1] :
        ( cowlThing(X1)
        & ~ cowlNothing(X1) )
    & ! [X1] :
        ( xsd_string(X1)
      <=> ~ xsd_integer(X1) )
    & ! [X1] :
        ( ( ~ cB(X1)
          & ~ cA(X1) )
      <=> ~ ( cA(X1)
            | cB(X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ewSgSyZfjc/E---3.1_31971.p',the_axiom) ).

fof(axiom_0,axiom,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ewSgSyZfjc/E---3.1_31971.p',axiom_0) ).

fof(axiom_1,axiom,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.ewSgSyZfjc/E---3.1_31971.p',axiom_1) ).

fof(c_0_3,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & ! [X1] :
          ( ( ~ cB(X1)
            & ~ cA(X1) )
        <=> ~ ( cA(X1)
              | cB(X1) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).

fof(c_0_4,negated_conjecture,
    ( ( cB(esk3_0)
      | cA(esk3_0)
      | cA(esk3_0)
      | cB(esk3_0)
      | ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0) )
    & ( ~ cA(esk3_0)
      | ~ cB(esk3_0)
      | ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0) )
    & ( ~ cB(esk3_0)
      | ~ cB(esk3_0)
      | ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0) )
    & ( ~ cA(esk3_0)
      | ~ cA(esk3_0)
      | ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0) )
    & ( ~ cB(esk3_0)
      | ~ cA(esk3_0)
      | ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0) )
    & ( cB(esk3_0)
      | cA(esk3_0)
      | cA(esk3_0)
      | cB(esk3_0)
      | xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0) )
    & ( ~ cA(esk3_0)
      | ~ cB(esk3_0)
      | xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0) )
    & ( ~ cB(esk3_0)
      | ~ cB(esk3_0)
      | xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0) )
    & ( ~ cA(esk3_0)
      | ~ cA(esk3_0)
      | xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0) )
    & ( ~ cB(esk3_0)
      | ~ cA(esk3_0)
      | xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).

fof(c_0_5,plain,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_0]) ).

cnf(c_0_6,negated_conjecture,
    ( xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | ~ cA(esk3_0)
    | ~ cA(esk3_0)
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

fof(c_0_7,plain,
    ! [X6] :
      ( cowlThing(X6)
      & ~ cowlNothing(X6) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_5])]) ).

fof(c_0_8,plain,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_1]) ).

cnf(c_0_9,negated_conjecture,
    ( xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | ~ cB(esk3_0)
    | ~ cB(esk3_0)
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | ~ cA(esk3_0) ),
    inference(cn,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_12,plain,
    ! [X5] :
      ( ( ~ xsd_string(X5)
        | ~ xsd_integer(X5) )
      & ( xsd_integer(X5)
        | xsd_string(X5) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).

cnf(c_0_13,negated_conjecture,
    ( cB(esk3_0)
    | cA(esk3_0)
    | cA(esk3_0)
    | cB(esk3_0)
    | xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_14,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | ~ cB(esk3_0) ),
    inference(cn,[status(thm)],[c_0_9]) ).

cnf(c_0_15,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | ~ cA(esk3_0)
    | ~ cA(esk3_0)
    | ~ xsd_string(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_16,negated_conjecture,
    ( xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | ~ cA(esk3_0)
    | ~ xsd_integer(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).

cnf(c_0_17,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_18,plain,
    ( xsd_integer(X1)
    | xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | cB(esk3_0)
    | cA(esk3_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(cn,[status(thm)],[c_0_13]) ).

cnf(c_0_20,negated_conjecture,
    ( xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | ~ cB(esk3_0)
    | ~ xsd_integer(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_11])]) ).

cnf(c_0_21,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | ~ cB(esk3_0)
    | ~ cB(esk3_0)
    | ~ xsd_string(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_22,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0)
    | ~ cA(esk3_0) ),
    inference(cn,[status(thm)],[c_0_15]) ).

cnf(c_0_23,negated_conjecture,
    ( xsd_string(esk2_0)
    | ~ cA(esk3_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).

cnf(c_0_24,negated_conjecture,
    ( cA(esk3_0)
    | cB(esk3_0)
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_11])]),c_0_17]),c_0_18]) ).

cnf(c_0_25,negated_conjecture,
    ( xsd_string(esk2_0)
    | ~ cB(esk3_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_20,c_0_17]),c_0_18]) ).

cnf(c_0_26,negated_conjecture,
    ( cB(esk3_0)
    | cA(esk3_0)
    | cA(esk3_0)
    | cB(esk3_0)
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | ~ xsd_string(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_27,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0)
    | ~ cB(esk3_0) ),
    inference(cn,[status(thm)],[c_0_21]) ).

cnf(c_0_28,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | ~ cA(esk3_0)
    | ~ xsd_string(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_11])]) ).

cnf(c_0_29,negated_conjecture,
    xsd_string(esk2_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).

cnf(c_0_30,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | cB(esk3_0)
    | cA(esk3_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(cn,[status(thm)],[c_0_26]) ).

cnf(c_0_31,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | ~ cB(esk3_0)
    | ~ xsd_string(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_11])]) ).

cnf(c_0_32,negated_conjecture,
    ( xsd_integer(esk2_0)
    | ~ cA(esk3_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]),c_0_17]) ).

cnf(c_0_33,negated_conjecture,
    ( cA(esk3_0)
    | cB(esk3_0)
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_11])]),c_0_17]),c_0_24]) ).

cnf(c_0_34,negated_conjecture,
    ( xsd_integer(esk2_0)
    | ~ cB(esk3_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_29])]),c_0_17]) ).

cnf(c_0_35,plain,
    ( ~ xsd_string(X1)
    | ~ xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_36,negated_conjecture,
    xsd_integer(esk2_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).

cnf(c_0_37,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_29])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : KRS168+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.14  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n018.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 14:01:46 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.ewSgSyZfjc/E---3.1_31971.p
% 0.21/0.49  # Version: 3.1.0
% 0.21/0.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.49  # Starting sh5l with 300s (1) cores
% 0.21/0.49  # new_bool_3 with pid 32050 completed with status 0
% 0.21/0.49  # Result found by new_bool_3
% 0.21/0.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.49  # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.21/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.49  # SAT001_MinMin_p005000_rr_RG with pid 32053 completed with status 0
% 0.21/0.49  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.49  # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.21/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.49  # Preprocessing time       : 0.001 s
% 0.21/0.49  # Presaturation interreduction done
% 0.21/0.49  
% 0.21/0.49  # Proof found!
% 0.21/0.49  # SZS status Theorem
% 0.21/0.49  # SZS output start CNFRefutation
% See solution above
% 0.21/0.49  # Parsed axioms                        : 3
% 0.21/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.49  # Initial clauses                      : 14
% 0.21/0.49  # Removed in clause preprocessing      : 0
% 0.21/0.49  # Initial clauses in saturation        : 14
% 0.21/0.49  # Processed clauses                    : 28
% 0.21/0.49  # ...of these trivial                  : 0
% 0.21/0.49  # ...subsumed                          : 2
% 0.21/0.49  # ...remaining for further processing  : 26
% 0.21/0.49  # Other redundant clauses eliminated   : 0
% 0.21/0.49  # Clauses deleted for lack of memory   : 0
% 0.21/0.49  # Backward-subsumed                    : 2
% 0.21/0.49  # Backward-rewritten                   : 6
% 0.21/0.49  # Generated clauses                    : 9
% 0.21/0.49  # ...of the previous two non-redundant : 3
% 0.21/0.49  # ...aggressively subsumed             : 0
% 0.21/0.49  # Contextual simplify-reflections      : 8
% 0.21/0.49  # Paramodulations                      : 9
% 0.21/0.49  # Factorizations                       : 0
% 0.21/0.49  # NegExts                              : 0
% 0.21/0.49  # Equation resolutions                 : 0
% 0.21/0.49  # Disequality decompositions           : 0
% 0.21/0.49  # Total rewrite steps                  : 19
% 0.21/0.49  # ...of those cached                   : 16
% 0.21/0.49  # Propositional unsat checks           : 0
% 0.21/0.49  #    Propositional check models        : 0
% 0.21/0.49  #    Propositional check unsatisfiable : 0
% 0.21/0.49  #    Propositional clauses             : 0
% 0.21/0.49  #    Propositional clauses after purity: 0
% 0.21/0.49  #    Propositional unsat core size     : 0
% 0.21/0.49  #    Propositional preprocessing time  : 0.000
% 0.21/0.49  #    Propositional encoding time       : 0.000
% 0.21/0.49  #    Propositional solver time         : 0.000
% 0.21/0.49  #    Success case prop preproc time    : 0.000
% 0.21/0.49  #    Success case prop encoding time   : 0.000
% 0.21/0.49  #    Success case prop solver time     : 0.000
% 0.21/0.49  # Current number of processed clauses  : 6
% 0.21/0.49  #    Positive orientable unit clauses  : 3
% 0.21/0.49  #    Positive unorientable unit clauses: 0
% 0.21/0.49  #    Negative unit clauses             : 1
% 0.21/0.49  #    Non-unit-clauses                  : 2
% 0.21/0.49  # Current number of unprocessed clauses: 0
% 0.21/0.49  # ...number of literals in the above   : 0
% 0.21/0.49  # Current number of archived formulas  : 0
% 0.21/0.49  # Current number of archived clauses   : 20
% 0.21/0.49  # Clause-clause subsumption calls (NU) : 18
% 0.21/0.49  # Rec. Clause-clause subsumption calls : 18
% 0.21/0.49  # Non-unit clause-clause subsumptions  : 12
% 0.21/0.49  # Unit Clause-clause subsumption calls : 8
% 0.21/0.49  # Rewrite failures with RHS unbound    : 0
% 0.21/0.49  # BW rewrite match attempts            : 2
% 0.21/0.49  # BW rewrite match successes           : 2
% 0.21/0.49  # Condensation attempts                : 0
% 0.21/0.49  # Condensation successes               : 0
% 0.21/0.49  # Termbank termtop insertions          : 963
% 0.21/0.49  # Search garbage collected termcells   : 165
% 0.21/0.49  
% 0.21/0.49  # -------------------------------------------------
% 0.21/0.49  # User time                : 0.004 s
% 0.21/0.49  # System time              : 0.002 s
% 0.21/0.49  # Total time               : 0.006 s
% 0.21/0.49  # Maximum resident set size: 1760 pages
% 0.21/0.49  
% 0.21/0.49  # -------------------------------------------------
% 0.21/0.49  # User time                : 0.005 s
% 0.21/0.49  # System time              : 0.004 s
% 0.21/0.49  # Total time               : 0.009 s
% 0.21/0.49  # Maximum resident set size: 1688 pages
% 0.21/0.49  % E---3.1 exiting
% 0.21/0.49  % E exiting
%------------------------------------------------------------------------------