TSTP Solution File: KRS139+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : KRS139+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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  : 300s
% DateTime : Sat May  4 08:13:17 EDT 2024

% Result   : Theorem 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   29 (  10 unt;   0 def)
%            Number of atoms       :   84 (   0 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :   98 (  43   ~;  35   |;  15   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   20 (   2 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
    ( ! [X1] :
        ( cowlThing(X1)
        & ~ cowlNothing(X1) )
    & ! [X1] :
        ( xsd_string(X1)
      <=> ~ xsd_integer(X1) )
    & cowlThing(iAntwerp)
    & rpath(iAntwerp,iGhent)
    & cowlThing(iGhent) ),
    file('/export/starexec/sandbox2/tmp/tmp.f6opGsawRe/E---3.1_7060.p',the_axiom) ).

fof(axiom_0,axiom,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.f6opGsawRe/E---3.1_7060.p',axiom_0) ).

fof(axiom_1,axiom,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.f6opGsawRe/E---3.1_7060.p',axiom_1) ).

fof(axiom_3,axiom,
    cowlThing(iAntwerp),
    file('/export/starexec/sandbox2/tmp/tmp.f6opGsawRe/E---3.1_7060.p',axiom_3) ).

fof(axiom_4,axiom,
    cowlThing(iGhent),
    file('/export/starexec/sandbox2/tmp/tmp.f6opGsawRe/E---3.1_7060.p',axiom_4) ).

fof(axiom_2,axiom,
    ! [X1,X2] :
      ( rpath(X1,X2)
     => rpath(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.f6opGsawRe/E---3.1_7060.p',axiom_2) ).

fof(axiom_5,axiom,
    rpath(iGhent,iAntwerp),
    file('/export/starexec/sandbox2/tmp/tmp.f6opGsawRe/E---3.1_7060.p',axiom_5) ).

fof(c_0_7,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & cowlThing(iAntwerp)
      & rpath(iAntwerp,iGhent)
      & cowlThing(iGhent) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).

fof(c_0_8,plain,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_0]) ).

fof(c_0_9,plain,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_1]) ).

fof(c_0_10,negated_conjecture,
    ( ( ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(iAntwerp)
      | ~ rpath(iAntwerp,iGhent)
      | ~ cowlThing(iGhent) )
    & ( xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(iAntwerp)
      | ~ rpath(iAntwerp,iGhent)
      | ~ cowlThing(iGhent) ) ),
    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_7])])])])]) ).

fof(c_0_11,plain,
    ! [X5] :
      ( cowlThing(X5)
      & ~ cowlNothing(X5) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_8])]) ).

fof(c_0_12,plain,
    ! [X8] :
      ( ( ~ xsd_string(X8)
        | ~ xsd_integer(X8) )
      & ( xsd_integer(X8)
        | xsd_string(X8) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).

cnf(c_0_13,negated_conjecture,
    ( xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ cowlThing(iAntwerp)
    | ~ rpath(iAntwerp,iGhent)
    | ~ cowlThing(iGhent) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    cowlThing(iAntwerp),
    inference(split_conjunct,[status(thm)],[axiom_3]) ).

cnf(c_0_15,plain,
    cowlThing(iGhent),
    inference(split_conjunct,[status(thm)],[axiom_4]) ).

cnf(c_0_16,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | ~ xsd_string(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ cowlThing(iAntwerp)
    | ~ rpath(iAntwerp,iGhent)
    | ~ cowlThing(iGhent) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_18,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_19,plain,
    ( xsd_integer(X1)
    | xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_20,negated_conjecture,
    ( xsd_string(esk2_0)
    | ~ rpath(iAntwerp,iGhent)
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),c_0_16]) ).

fof(c_0_21,plain,
    ! [X6,X7] :
      ( ~ rpath(X6,X7)
      | rpath(X7,X6) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])]) ).

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

cnf(c_0_23,negated_conjecture,
    ( xsd_integer(esk2_0)
    | ~ rpath(iAntwerp,iGhent) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_18]),c_0_18])]),c_0_16]),c_0_19]) ).

cnf(c_0_24,negated_conjecture,
    ( xsd_string(esk2_0)
    | ~ rpath(iAntwerp,iGhent) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_18])]),c_0_19]) ).

cnf(c_0_25,plain,
    ( rpath(X2,X1)
    | ~ rpath(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_26,plain,
    rpath(iGhent,iAntwerp),
    inference(split_conjunct,[status(thm)],[axiom_5]) ).

cnf(c_0_27,negated_conjecture,
    ~ rpath(iAntwerp,iGhent),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).

cnf(c_0_28,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : KRS139+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 14:03:37 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.f6opGsawRe/E---3.1_7060.p
% 0.20/0.50  # Version: 3.1.0
% 0.20/0.50  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50  # Starting sh5l with 300s (1) cores
% 0.20/0.50  # sh5l with pid 7140 completed with status 0
% 0.20/0.50  # Result found by sh5l
% 0.20/0.50  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50  # Starting sh5l with 300s (1) cores
% 0.20/0.50  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.50  # Search class: FGHNF-FFSS00-SFFFFFNN
% 0.20/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.50  # SAT001_MinMin_p005000_rr_RG with pid 7142 completed with status 0
% 0.20/0.50  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.50  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50  # Starting sh5l with 300s (1) cores
% 0.20/0.50  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.50  # Search class: FGHNF-FFSS00-SFFFFFNN
% 0.20/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.50  # Preprocessing time       : 0.001 s
% 0.20/0.50  # Presaturation interreduction done
% 0.20/0.50  
% 0.20/0.50  # Proof found!
% 0.20/0.50  # SZS status Theorem
% 0.20/0.50  # SZS output start CNFRefutation
% See solution above
% 0.20/0.50  # Parsed axioms                        : 7
% 0.20/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.50  # Initial clauses                      : 10
% 0.20/0.50  # Removed in clause preprocessing      : 0
% 0.20/0.50  # Initial clauses in saturation        : 10
% 0.20/0.50  # Processed clauses                    : 21
% 0.20/0.50  # ...of these trivial                  : 0
% 0.20/0.50  # ...subsumed                          : 0
% 0.20/0.50  # ...remaining for further processing  : 20
% 0.20/0.50  # Other redundant clauses eliminated   : 0
% 0.20/0.50  # Clauses deleted for lack of memory   : 0
% 0.20/0.50  # Backward-subsumed                    : 2
% 0.20/0.50  # Backward-rewritten                   : 3
% 0.20/0.50  # Generated clauses                    : 3
% 0.20/0.50  # ...of the previous two non-redundant : 3
% 0.20/0.50  # ...aggressively subsumed             : 0
% 0.20/0.50  # Contextual simplify-reflections      : 3
% 0.20/0.50  # Paramodulations                      : 3
% 0.20/0.50  # Factorizations                       : 0
% 0.20/0.50  # NegExts                              : 0
% 0.20/0.50  # Equation resolutions                 : 0
% 0.20/0.50  # Disequality decompositions           : 0
% 0.20/0.50  # Total rewrite steps                  : 8
% 0.20/0.50  # ...of those cached                   : 3
% 0.20/0.50  # Propositional unsat checks           : 0
% 0.20/0.50  #    Propositional check models        : 0
% 0.20/0.50  #    Propositional check unsatisfiable : 0
% 0.20/0.50  #    Propositional clauses             : 0
% 0.20/0.50  #    Propositional clauses after purity: 0
% 0.20/0.50  #    Propositional unsat core size     : 0
% 0.20/0.50  #    Propositional preprocessing time  : 0.000
% 0.20/0.50  #    Propositional encoding time       : 0.000
% 0.20/0.50  #    Propositional solver time         : 0.000
% 0.20/0.50  #    Success case prop preproc time    : 0.000
% 0.20/0.50  #    Success case prop encoding time   : 0.000
% 0.20/0.50  #    Success case prop solver time     : 0.000
% 0.20/0.50  # Current number of processed clauses  : 7
% 0.20/0.50  #    Positive orientable unit clauses  : 2
% 0.20/0.50  #    Positive unorientable unit clauses: 0
% 0.20/0.50  #    Negative unit clauses             : 2
% 0.20/0.50  #    Non-unit-clauses                  : 3
% 0.20/0.50  # Current number of unprocessed clauses: 0
% 0.20/0.50  # ...number of literals in the above   : 0
% 0.20/0.50  # Current number of archived formulas  : 0
% 0.20/0.50  # Current number of archived clauses   : 13
% 0.20/0.50  # Clause-clause subsumption calls (NU) : 9
% 0.20/0.50  # Rec. Clause-clause subsumption calls : 9
% 0.20/0.50  # Non-unit clause-clause subsumptions  : 3
% 0.20/0.50  # Unit Clause-clause subsumption calls : 4
% 0.20/0.50  # Rewrite failures with RHS unbound    : 0
% 0.20/0.50  # BW rewrite match attempts            : 3
% 0.20/0.50  # BW rewrite match successes           : 3
% 0.20/0.50  # Condensation attempts                : 0
% 0.20/0.50  # Condensation successes               : 0
% 0.20/0.50  # Termbank termtop insertions          : 605
% 0.20/0.50  # Search garbage collected termcells   : 121
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.005 s
% 0.20/0.50  # System time              : 0.001 s
% 0.20/0.50  # Total time               : 0.006 s
% 0.20/0.50  # Maximum resident set size: 1744 pages
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.006 s
% 0.20/0.50  # System time              : 0.003 s
% 0.20/0.50  # Total time               : 0.009 s
% 0.20/0.50  # Maximum resident set size: 1688 pages
% 0.20/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------