TSTP Solution File: SYO894_8 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SYO894_8 : 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 08:55:14 EDT 2024

% Result   : Theorem 0.19s 0.48s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   24 (   4 unt;   6 typ;   0 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :   17 (   3 avg)
%            Number of connectives :   75 (  31   ~;  30   |;   8   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    3 (   2   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   15 (   0 sgn  13   !;   2   ?;  15   :)

% 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,
    esk1_0: '$ki_world' ).

tff(decl_26,type,
    esk2_0: '$ki_world' ).

tff(verify,conjecture,
    ( ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ( p(X1)
         => ~ p(X1) ) )
  <=> ~ ? [X1: '$ki_world'] :
          ( '$ki_accessible'('$ki_local_world',X1)
          & p(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).

tff(c_0_1,negated_conjecture,
    ~ ( ! [X1: '$ki_world'] :
          ( '$ki_accessible'('$ki_local_world',X1)
         => ( p(X1)
           => ~ p(X1) ) )
    <=> ~ ? [X1: '$ki_world'] :
            ( '$ki_accessible'('$ki_local_world',X1)
            & p(X1) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[verify])]) ).

tff(c_0_2,negated_conjecture,
    ! [X4: '$ki_world',X5: '$ki_world'] :
      ( ( '$ki_accessible'('$ki_local_world',esk2_0)
        | '$ki_accessible'('$ki_local_world',esk1_0) )
      & ( p(esk2_0)
        | '$ki_accessible'('$ki_local_world',esk1_0) )
      & ( '$ki_accessible'('$ki_local_world',esk2_0)
        | p(esk1_0) )
      & ( p(esk2_0)
        | p(esk1_0) )
      & ( '$ki_accessible'('$ki_local_world',esk2_0)
        | p(esk1_0) )
      & ( p(esk2_0)
        | p(esk1_0) )
      & ( ~ '$ki_accessible'('$ki_local_world',X4)
        | ~ p(X4)
        | ~ p(X4)
        | ~ '$ki_accessible'('$ki_local_world',X5)
        | ~ p(X5) ) ),
    inference(distribute,[status(thm)],[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_1])])])])])]) ).

tcf(c_0_3,negated_conjecture,
    ! [X1: '$ki_world',X2: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ p(X1)
      | ~ p(X1)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ p(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

tcf(c_0_4,negated_conjecture,
    ! [X2: '$ki_world',X1: '$ki_world'] :
      ( ~ p(X2)
      | ~ p(X1)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cn,[status(thm)],[c_0_3]) ).

tcf(c_0_5,negated_conjecture,
    ( '$ki_accessible'('$ki_local_world',esk2_0)
    | '$ki_accessible'('$ki_local_world',esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

tcf(c_0_6,negated_conjecture,
    ( p(esk2_0)
    | '$ki_accessible'('$ki_local_world',esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

tcf(c_0_7,negated_conjecture,
    ! [X1: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',esk1_0)
      | ~ p(X1)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]) ).

tcf(c_0_8,negated_conjecture,
    '$ki_accessible'('$ki_local_world',esk1_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_6]),c_0_5]) ).

tcf(c_0_9,negated_conjecture,
    ! [X1: '$ki_world'] :
      ( ~ p(esk1_0)
      | ~ p(X1)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(spm,[status(thm)],[c_0_4,c_0_8]) ).

tcf(c_0_10,negated_conjecture,
    ( '$ki_accessible'('$ki_local_world',esk2_0)
    | p(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

tcf(c_0_11,negated_conjecture,
    ! [X1: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',esk2_0)
      | ~ p(X1)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

tcf(c_0_12,negated_conjecture,
    '$ki_accessible'('$ki_local_world',esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_10]),c_0_8])]) ).

tcf(c_0_13,negated_conjecture,
    ! [X1: '$ki_world'] :
      ( ~ p(esk2_0)
      | ~ p(X1)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(spm,[status(thm)],[c_0_4,c_0_12]) ).

tcf(c_0_14,negated_conjecture,
    ( p(esk2_0)
    | p(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

tcf(c_0_15,negated_conjecture,
    ! [X1: '$ki_world'] :
      ( ~ p(X1)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_9]) ).

tcf(c_0_16,negated_conjecture,
    p(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_14]),c_0_12])]) ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO894_8 : TPTP v8.2.0. Released v8.2.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 10:57:52 EDT 2024
% 0.13/0.34  % 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/benchmark/theBenchmark.p
% 0.19/0.48  # Version: 3.1.0
% 0.19/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48  # Starting sh5l with 300s (1) cores
% 0.19/0.48  # new_bool_3 with pid 21275 completed with status 0
% 0.19/0.48  # Result found by new_bool_3
% 0.19/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.48  # Search class: FGHNF-FFSM00-SFFFFFNN
% 0.19/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48  # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 181s (1) cores
% 0.19/0.48  # G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 21283 completed with status 0
% 0.19/0.48  # Result found by G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 0.19/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.48  # Search class: FGHNF-FFSM00-SFFFFFNN
% 0.19/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48  # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 181s (1) cores
% 0.19/0.48  # Preprocessing time       : 0.001 s
% 0.19/0.48  # Presaturation interreduction done
% 0.19/0.48  
% 0.19/0.48  # Proof found!
% 0.19/0.48  # SZS status Theorem
% 0.19/0.48  # SZS output start CNFRefutation
% See solution above
% 0.19/0.48  # Parsed axioms                        : 6
% 0.19/0.48  # Removed by relevancy pruning/SinE    : 4
% 0.19/0.48  # Initial clauses                      : 8
% 0.19/0.48  # Removed in clause preprocessing      : 0
% 0.19/0.48  # Initial clauses in saturation        : 8
% 0.19/0.48  # Processed clauses                    : 23
% 0.19/0.48  # ...of these trivial                  : 0
% 0.19/0.48  # ...subsumed                          : 2
% 0.19/0.48  # ...remaining for further processing  : 21
% 0.19/0.48  # Other redundant clauses eliminated   : 0
% 0.19/0.48  # Clauses deleted for lack of memory   : 0
% 0.19/0.48  # Backward-subsumed                    : 4
% 0.19/0.48  # Backward-rewritten                   : 6
% 0.19/0.48  # Generated clauses                    : 13
% 0.19/0.48  # ...of the previous two non-redundant : 10
% 0.19/0.48  # ...aggressively subsumed             : 0
% 0.19/0.48  # Contextual simplify-reflections      : 3
% 0.19/0.48  # Paramodulations                      : 13
% 0.19/0.48  # Factorizations                       : 0
% 0.19/0.48  # NegExts                              : 0
% 0.19/0.48  # Equation resolutions                 : 0
% 0.19/0.48  # Disequality decompositions           : 0
% 0.19/0.48  # Total rewrite steps                  : 9
% 0.19/0.48  # ...of those cached                   : 6
% 0.19/0.48  # Propositional unsat checks           : 0
% 0.19/0.48  #    Propositional check models        : 0
% 0.19/0.48  #    Propositional check unsatisfiable : 0
% 0.19/0.48  #    Propositional clauses             : 0
% 0.19/0.48  #    Propositional clauses after purity: 0
% 0.19/0.48  #    Propositional unsat core size     : 0
% 0.19/0.48  #    Propositional preprocessing time  : 0.000
% 0.19/0.48  #    Propositional encoding time       : 0.000
% 0.19/0.48  #    Propositional solver time         : 0.000
% 0.19/0.48  #    Success case prop preproc time    : 0.000
% 0.19/0.48  #    Success case prop encoding time   : 0.000
% 0.19/0.48  #    Success case prop solver time     : 0.000
% 0.19/0.48  # Current number of processed clauses  : 5
% 0.19/0.48  #    Positive orientable unit clauses  : 4
% 0.19/0.48  #    Positive unorientable unit clauses: 0
% 0.19/0.48  #    Negative unit clauses             : 0
% 0.19/0.48  #    Non-unit-clauses                  : 1
% 0.19/0.48  # Current number of unprocessed clauses: 0
% 0.19/0.48  # ...number of literals in the above   : 0
% 0.19/0.48  # Current number of archived formulas  : 0
% 0.19/0.48  # Current number of archived clauses   : 16
% 0.19/0.48  # Clause-clause subsumption calls (NU) : 21
% 0.19/0.48  # Rec. Clause-clause subsumption calls : 13
% 0.19/0.48  # Non-unit clause-clause subsumptions  : 9
% 0.19/0.48  # Unit Clause-clause subsumption calls : 1
% 0.19/0.48  # Rewrite failures with RHS unbound    : 0
% 0.19/0.48  # BW rewrite match attempts            : 7
% 0.19/0.48  # BW rewrite match successes           : 3
% 0.19/0.48  # Condensation attempts                : 0
% 0.19/0.48  # Condensation successes               : 0
% 0.19/0.48  # Termbank termtop insertions          : 690
% 0.19/0.48  # Search garbage collected termcells   : 98
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.005 s
% 0.19/0.48  # System time              : 0.000 s
% 0.19/0.48  # Total time               : 0.005 s
% 0.19/0.48  # Maximum resident set size: 1756 pages
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.007 s
% 0.19/0.48  # System time              : 0.002 s
% 0.19/0.48  # Total time               : 0.008 s
% 0.19/0.48  # Maximum resident set size: 1708 pages
% 0.19/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------