TSTP Solution File: SYO900_11 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SYO900_11 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 : Tue May 21 08:55:16 EDT 2024

% Result   : Theorem 0.23s 0.51s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   19 (   6 unt;   9 typ;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   35 (   7   ~;   5   |;   7   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    4 (   3   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   22 (   0 sgn  22   !;   0   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_sort1,type,
    '$ki_world': $tType ).

tff(decl_22,type,
    '$ki_local_world': '$ki_world' ).

tff(decl_23,type,
    '$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).

tff(decl_24,type,
    p: '$ki_world' > $o ).

tff(decl_25,type,
    q: '$ki_world' > $o ).

tff(decl_26,type,
    esk1_0: '$ki_world' ).

tff(decl_27,type,
    esk2_0: '$ki_world' ).

tff(decl_28,type,
    esk3_0: '$ki_world' ).

tff(decl_29,type,
    esk4_0: '$ki_world' ).

tff(verify,conjecture,
    ( ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ( ! [X3: '$ki_world'] :
              ( '$ki_accessible'(X1,X3)
             => p(X3) )
         => ! [X3: '$ki_world'] :
              ( '$ki_accessible'(X1,X3)
             => q(X3) ) ) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ( ! [X3: '$ki_world'] :
              ( '$ki_accessible'(X1,X3)
             => q(X3) )
         => ! [X3: '$ki_world'] :
              ( '$ki_accessible'(X1,X3)
             => p(X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).

tff(mrel_universal,axiom,
    ! [X1: '$ki_world',X2: '$ki_world'] : '$ki_accessible'(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_universal) ).

tff(c_0_2,negated_conjecture,
    ~ ( ! [X1: '$ki_world'] :
          ( '$ki_accessible'('$ki_local_world',X1)
         => ( ! [X3: '$ki_world'] :
                ( '$ki_accessible'(X1,X3)
               => p(X3) )
           => ! [X3: '$ki_world'] :
                ( '$ki_accessible'(X1,X3)
               => q(X3) ) ) )
      | ! [X1: '$ki_world'] :
          ( '$ki_accessible'('$ki_local_world',X1)
         => ( ! [X3: '$ki_world'] :
                ( '$ki_accessible'(X1,X3)
               => q(X3) )
           => ! [X3: '$ki_world'] :
                ( '$ki_accessible'(X1,X3)
               => p(X3) ) ) ) ),
    inference(assume_negation,[status(cth)],[verify]) ).

tff(c_0_3,negated_conjecture,
    ! [X7: '$ki_world',X10: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',esk1_0)
      & ( ~ '$ki_accessible'(esk1_0,X7)
        | p(X7) )
      & '$ki_accessible'(esk1_0,esk2_0)
      & ~ q(esk2_0)
      & '$ki_accessible'('$ki_local_world',esk3_0)
      & ( ~ '$ki_accessible'(esk3_0,X10)
        | q(X10) )
      & '$ki_accessible'(esk3_0,esk4_0)
      & ~ p(esk4_0) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).

tff(c_0_4,plain,
    ! [X4: '$ki_world',X5: '$ki_world'] : '$ki_accessible'(X4,X5),
    inference(variable_rename,[status(thm)],[mrel_universal]) ).

tcf(c_0_5,negated_conjecture,
    ! [X1: '$ki_world'] :
      ( p(X1)
      | ~ '$ki_accessible'(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

tcf(c_0_6,plain,
    ! [X1: '$ki_world',X2: '$ki_world'] : '$ki_accessible'(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

tcf(c_0_7,negated_conjecture,
    ~ p(esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

tcf(c_0_8,negated_conjecture,
    ! [X1: '$ki_world'] : p(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]) ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem    : SYO900_11 : TPTP v8.2.0. Released v8.2.0.
% 0.05/0.14  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n003.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon May 20 09:56:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.23/0.50  Running first-order model finding
% 0.23/0.50  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/benchmark/theBenchmark.p
% 0.23/0.51  # Version: 3.1.0
% 0.23/0.51  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.23/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.23/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.51  # Starting sh5l with 300s (1) cores
% 0.23/0.51  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 10975 completed with status 0
% 0.23/0.51  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.23/0.51  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.23/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.23/0.51  # No SInE strategy applied
% 0.23/0.51  # Search class: FUHPF-FFSF00-SFFFFFNN
% 0.23/0.51  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.23/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.23/0.51  # Starting new_bool_3 with 136s (1) cores
% 0.23/0.51  # Starting new_bool_1 with 136s (1) cores
% 0.23/0.51  # Starting sh5l with 136s (1) cores
% 0.23/0.51  # SAT001_MinMin_p005000_rr_RG with pid 10979 completed with status 0
% 0.23/0.51  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.23/0.51  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.23/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.23/0.51  # No SInE strategy applied
% 0.23/0.51  # Search class: FUHPF-FFSF00-SFFFFFNN
% 0.23/0.51  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.23/0.51  # Preprocessing time       : 0.001 s
% 0.23/0.51  # Presaturation interreduction done
% 0.23/0.51  
% 0.23/0.51  # Proof found!
% 0.23/0.51  # SZS status Theorem
% 0.23/0.51  # SZS output start CNFRefutation
% See solution above
% 0.23/0.51  # Parsed axioms                        : 7
% 0.23/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.23/0.51  # Initial clauses                      : 14
% 0.23/0.51  # Removed in clause preprocessing      : 12
% 0.23/0.51  # Initial clauses in saturation        : 2
% 0.23/0.51  # Processed clauses                    : 1
% 0.23/0.51  # ...of these trivial                  : 0
% 0.23/0.51  # ...subsumed                          : 0
% 0.23/0.51  # ...remaining for further processing  : 0
% 0.23/0.51  # Other redundant clauses eliminated   : 0
% 0.23/0.51  # Clauses deleted for lack of memory   : 0
% 0.23/0.51  # Backward-subsumed                    : 0
% 0.23/0.51  # Backward-rewritten                   : 0
% 0.23/0.51  # Generated clauses                    : 0
% 0.23/0.51  # ...of the previous two non-redundant : 0
% 0.23/0.51  # ...aggressively subsumed             : 0
% 0.23/0.51  # Contextual simplify-reflections      : 0
% 0.23/0.51  # Paramodulations                      : 0
% 0.23/0.51  # Factorizations                       : 0
% 0.23/0.51  # NegExts                              : 0
% 0.23/0.51  # Equation resolutions                 : 0
% 0.23/0.51  # Disequality decompositions           : 0
% 0.23/0.51  # Total rewrite steps                  : 0
% 0.23/0.51  # ...of those cached                   : 0
% 0.23/0.51  # Propositional unsat checks           : 0
% 0.23/0.51  #    Propositional check models        : 0
% 0.23/0.51  #    Propositional check unsatisfiable : 0
% 0.23/0.51  #    Propositional clauses             : 0
% 0.23/0.51  #    Propositional clauses after purity: 0
% 0.23/0.51  #    Propositional unsat core size     : 0
% 0.23/0.51  #    Propositional preprocessing time  : 0.000
% 0.23/0.51  #    Propositional encoding time       : 0.000
% 0.23/0.51  #    Propositional solver time         : 0.000
% 0.23/0.51  #    Success case prop preproc time    : 0.000
% 0.23/0.51  #    Success case prop encoding time   : 0.000
% 0.23/0.51  #    Success case prop solver time     : 0.000
% 0.23/0.51  # Current number of processed clauses  : 0
% 0.23/0.51  #    Positive orientable unit clauses  : 0
% 0.23/0.51  #    Positive unorientable unit clauses: 0
% 0.23/0.51  #    Negative unit clauses             : 0
% 0.23/0.51  #    Non-unit-clauses                  : 0
% 0.23/0.51  # Current number of unprocessed clauses: 1
% 0.23/0.51  # ...number of literals in the above   : 0
% 0.23/0.51  # Current number of archived formulas  : 0
% 0.23/0.51  # Current number of archived clauses   : 3
% 0.23/0.51  # Clause-clause subsumption calls (NU) : 0
% 0.23/0.51  # Rec. Clause-clause subsumption calls : 0
% 0.23/0.51  # Non-unit clause-clause subsumptions  : 0
% 0.23/0.51  # Unit Clause-clause subsumption calls : 0
% 0.23/0.51  # Rewrite failures with RHS unbound    : 0
% 0.23/0.51  # BW rewrite match attempts            : 0
% 0.23/0.51  # BW rewrite match successes           : 0
% 0.23/0.51  # Condensation attempts                : 0
% 0.23/0.51  # Condensation successes               : 0
% 0.23/0.51  # Termbank termtop insertions          : 421
% 0.23/0.51  # Search garbage collected termcells   : 131
% 0.23/0.51  
% 0.23/0.51  # -------------------------------------------------
% 0.23/0.51  # User time                : 0.002 s
% 0.23/0.51  # System time              : 0.003 s
% 0.23/0.51  # Total time               : 0.004 s
% 0.23/0.51  # Maximum resident set size: 1752 pages
% 0.23/0.51  
% 0.23/0.51  # -------------------------------------------------
% 0.23/0.51  # User time                : 0.006 s
% 0.23/0.51  # System time              : 0.006 s
% 0.23/0.51  # Total time               : 0.012 s
% 0.23/0.51  # Maximum resident set size: 1700 pages
% 0.23/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------