TSTP Solution File: PUZ132+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : PUZ132+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:13:07 EDT 2023

% Result   : Theorem 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (  10 unt;   0 def)
%            Number of atoms       :   36 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   26 (  13   ~;   8   |;   2   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    9 (   0 sgn;   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(washington_conjecture,conjecture,
    ( beautiful(washington)
    & has_crime(washington) ),
    file('/export/starexec/sandbox/tmp/tmp.vXGSKmiAMN/E---3.1_31784.p',washington_conjecture) ).

fof(beautiful_capital_axiom,axiom,
    ! [X2] :
      ( country(X2)
     => beautiful(capital_city(X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.vXGSKmiAMN/E---3.1_31784.p',beautiful_capital_axiom) ).

fof(usa_capital_axiom,axiom,
    capital_city(usa) = washington,
    file('/export/starexec/sandbox/tmp/tmp.vXGSKmiAMN/E---3.1_31784.p',usa_capital_axiom) ).

fof(usa_type,axiom,
    country(usa),
    file('/export/starexec/sandbox/tmp/tmp.vXGSKmiAMN/E---3.1_31784.p',usa_type) ).

fof(crime_axiom,axiom,
    ! [X2] :
      ( city(X2)
     => has_crime(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.vXGSKmiAMN/E---3.1_31784.p',crime_axiom) ).

fof(capital_city_type,axiom,
    ! [X1] :
      ( capital(X1)
     => city(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.vXGSKmiAMN/E---3.1_31784.p',capital_city_type) ).

fof(washington_type,axiom,
    capital(washington),
    file('/export/starexec/sandbox/tmp/tmp.vXGSKmiAMN/E---3.1_31784.p',washington_type) ).

fof(c_0_7,negated_conjecture,
    ~ ( beautiful(washington)
      & has_crime(washington) ),
    inference(assume_negation,[status(cth)],[washington_conjecture]) ).

fof(c_0_8,plain,
    ! [X4] :
      ( ~ country(X4)
      | beautiful(capital_city(X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[beautiful_capital_axiom])]) ).

fof(c_0_9,negated_conjecture,
    ( ~ beautiful(washington)
    | ~ has_crime(washington) ),
    inference(fof_nnf,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    ( beautiful(capital_city(X1))
    | ~ country(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,plain,
    capital_city(usa) = washington,
    inference(split_conjunct,[status(thm)],[usa_capital_axiom]) ).

cnf(c_0_12,plain,
    country(usa),
    inference(split_conjunct,[status(thm)],[usa_type]) ).

cnf(c_0_13,negated_conjecture,
    ( ~ beautiful(washington)
    | ~ has_crime(washington) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    beautiful(washington),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).

fof(c_0_15,plain,
    ! [X3] :
      ( ~ city(X3)
      | has_crime(X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[crime_axiom])]) ).

cnf(c_0_16,negated_conjecture,
    ~ has_crime(washington),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).

cnf(c_0_17,plain,
    ( has_crime(X1)
    | ~ city(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_18,plain,
    ! [X6] :
      ( ~ capital(X6)
      | city(X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[capital_city_type])]) ).

cnf(c_0_19,negated_conjecture,
    ~ city(washington),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,plain,
    ( city(X1)
    | ~ capital(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_21,plain,
    capital(washington),
    inference(split_conjunct,[status(thm)],[washington_type]) ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PUZ132+1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 2400
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Oct  2 18:56:44 EDT 2023
% 0.12/0.35  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.vXGSKmiAMN/E---3.1_31784.p
% 0.19/0.49  # Version: 3.1pre001
% 0.19/0.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # sh5l with pid 31864 completed with status 0
% 0.19/0.49  # Result found by sh5l
% 0.19/0.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.49  # Search class: FHHSF-FFSM11-SFFFFFNN
% 0.19/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.49  # SAT001_MinMin_p005000_rr_RG with pid 31865 completed with status 0
% 0.19/0.49  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.19/0.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.49  # Search class: FHHSF-FFSM11-SFFFFFNN
% 0.19/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.49  # Preprocessing time       : 0.001 s
% 0.19/0.49  # Presaturation interreduction done
% 0.19/0.49  
% 0.19/0.49  # Proof found!
% 0.19/0.49  # SZS status Theorem
% 0.19/0.49  # SZS output start CNFRefutation
% See solution above
% 0.19/0.49  # Parsed axioms                        : 11
% 0.19/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.49  # Initial clauses                      : 11
% 0.19/0.49  # Removed in clause preprocessing      : 0
% 0.19/0.49  # Initial clauses in saturation        : 11
% 0.19/0.49  # Processed clauses                    : 25
% 0.19/0.49  # ...of these trivial                  : 0
% 0.19/0.49  # ...subsumed                          : 0
% 0.19/0.49  # ...remaining for further processing  : 25
% 0.19/0.49  # Other redundant clauses eliminated   : 0
% 0.19/0.49  # Clauses deleted for lack of memory   : 0
% 0.19/0.49  # Backward-subsumed                    : 0
% 0.19/0.49  # Backward-rewritten                   : 1
% 0.19/0.49  # Generated clauses                    : 4
% 0.19/0.49  # ...of the previous two non-redundant : 3
% 0.19/0.49  # ...aggressively subsumed             : 0
% 0.19/0.49  # Contextual simplify-reflections      : 0
% 0.19/0.49  # Paramodulations                      : 4
% 0.19/0.49  # Factorizations                       : 0
% 0.19/0.49  # NegExts                              : 0
% 0.19/0.49  # Equation resolutions                 : 0
% 0.19/0.49  # Total rewrite steps                  : 5
% 0.19/0.49  # Propositional unsat checks           : 0
% 0.19/0.49  #    Propositional check models        : 0
% 0.19/0.49  #    Propositional check unsatisfiable : 0
% 0.19/0.49  #    Propositional clauses             : 0
% 0.19/0.49  #    Propositional clauses after purity: 0
% 0.19/0.49  #    Propositional unsat core size     : 0
% 0.19/0.49  #    Propositional preprocessing time  : 0.000
% 0.19/0.49  #    Propositional encoding time       : 0.000
% 0.19/0.49  #    Propositional solver time         : 0.000
% 0.19/0.49  #    Success case prop preproc time    : 0.000
% 0.19/0.49  #    Success case prop encoding time   : 0.000
% 0.19/0.49  #    Success case prop solver time     : 0.000
% 0.19/0.49  # Current number of processed clauses  : 13
% 0.19/0.49  #    Positive orientable unit clauses  : 7
% 0.19/0.49  #    Positive unorientable unit clauses: 0
% 0.19/0.49  #    Negative unit clauses             : 2
% 0.19/0.49  #    Non-unit-clauses                  : 4
% 0.19/0.49  # Current number of unprocessed clauses: 0
% 0.19/0.49  # ...number of literals in the above   : 0
% 0.19/0.49  # Current number of archived formulas  : 0
% 0.19/0.49  # Current number of archived clauses   : 12
% 0.19/0.49  # Clause-clause subsumption calls (NU) : 0
% 0.19/0.49  # Rec. Clause-clause subsumption calls : 0
% 0.19/0.49  # Non-unit clause-clause subsumptions  : 0
% 0.19/0.49  # Unit Clause-clause subsumption calls : 1
% 0.19/0.49  # Rewrite failures with RHS unbound    : 0
% 0.19/0.49  # BW rewrite match attempts            : 1
% 0.19/0.49  # BW rewrite match successes           : 1
% 0.19/0.49  # Condensation attempts                : 0
% 0.19/0.49  # Condensation successes               : 0
% 0.19/0.49  # Termbank termtop insertions          : 370
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.003 s
% 0.19/0.49  # System time              : 0.001 s
% 0.19/0.49  # Total time               : 0.004 s
% 0.19/0.49  # Maximum resident set size: 1756 pages
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.004 s
% 0.19/0.49  # System time              : 0.003 s
% 0.19/0.49  # Total time               : 0.007 s
% 0.19/0.49  # Maximum resident set size: 1676 pages
% 0.19/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------