TSTP Solution File: NLP267_1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : NLP267_1 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 00:55:50 EDT 2024

% Result   : Theorem 0.22s 0.50s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   26 (   3 unt;  10 typ;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   33 (  14   ~;  11   |;   2   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    8 (   4   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   12 (   0 sgn  12   !;   0   ?;  12   :)

% 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,
    seventy: $i ).

tff(decl_26,type,
    second: $i ).

tff(decl_27,type,
    paris: $i ).

tff(decl_29,type,
    price: ( '$ki_world' * $i ) > $o ).

tff(decl_30,type,
    dest: ( '$ki_world' * $i ) > $o ).

tff(decl_31,type,
    class: ( '$ki_world' * $i ) > $o ).

tff(decl_32,type,
    esk1_0: '$ki_world' ).

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

tff(law2,axiom,
    ! [X1: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X1)
     => ( ( dest(X1,paris)
          & class(X1,second) )
       => price(X1,seventy) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',law2) ).

tff(belief1,axiom,
    ! [X1: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X1)
     => dest(X1,paris) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',belief1) ).

tff(belief2,axiom,
    ! [X1: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X1)
     => class(X1,second) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',belief2) ).

tff(c_0_4,negated_conjecture,
    ~ ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => price(X1,seventy) ),
    inference(assume_negation,[status(cth)],[verify]) ).

tff(c_0_5,plain,
    ! [X3: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X3)
      | ~ dest(X3,paris)
      | ~ class(X3,second)
      | price(X3,seventy) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[law2])])]) ).

tff(c_0_6,plain,
    ! [X8: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X8)
      | dest(X8,paris) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[belief1])])]) ).

tff(c_0_7,plain,
    ! [X5: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X5)
      | class(X5,second) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[belief2])])]) ).

tff(c_0_8,negated_conjecture,
    ( '$ki_accessible'('$ki_local_world',esk1_0)
    & ~ price(esk1_0,seventy) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).

tcf(c_0_9,plain,
    ! [X1: '$ki_world'] :
      ( price(X1,seventy)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ dest(X1,paris)
      | ~ class(X1,second) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

tcf(c_0_10,plain,
    ! [X1: '$ki_world'] :
      ( dest(X1,paris)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

tcf(c_0_11,plain,
    ! [X1: '$ki_world'] :
      ( class(X1,second)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

tcf(c_0_12,negated_conjecture,
    ~ price(esk1_0,seventy),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

tcf(c_0_13,plain,
    ! [X1: '$ki_world'] :
      ( price(X1,seventy)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).

tcf(c_0_14,negated_conjecture,
    '$ki_accessible'('$ki_local_world',esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : NLP267_1 : TPTP v8.2.0. Released v8.2.0.
% 0.10/0.13  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n021.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun May 19 22:18:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.22/0.49  Running first-order theorem proving
% 0.22/0.49  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.22/0.50  # Version: 3.1.0
% 0.22/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.50  # Starting sh5l with 300s (1) cores
% 0.22/0.50  # new_bool_3 with pid 7659 completed with status 0
% 0.22/0.50  # Result found by new_bool_3
% 0.22/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.50  # Search class: FHHNF-FFSF00-SFFFFFNN
% 0.22/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.50  # SAT001_MinMin_p005000_rr_RG with pid 7666 completed with status 0
% 0.22/0.50  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.22/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.50  # Search class: FHHNF-FFSF00-SFFFFFNN
% 0.22/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.50  # Preprocessing time       : 0.001 s
% 0.22/0.50  # Presaturation interreduction done
% 0.22/0.50  
% 0.22/0.50  # Proof found!
% 0.22/0.50  # SZS status Theorem
% 0.22/0.50  # SZS output start CNFRefutation
% See solution above
% 0.22/0.50  # Parsed axioms                        : 18
% 0.22/0.50  # Removed by relevancy pruning/SinE    : 11
% 0.22/0.50  # Initial clauses                      : 8
% 0.22/0.50  # Removed in clause preprocessing      : 0
% 0.22/0.50  # Initial clauses in saturation        : 8
% 0.22/0.50  # Processed clauses                    : 13
% 0.22/0.50  # ...of these trivial                  : 0
% 0.22/0.50  # ...subsumed                          : 1
% 0.22/0.50  # ...remaining for further processing  : 12
% 0.22/0.50  # Other redundant clauses eliminated   : 0
% 0.22/0.50  # Clauses deleted for lack of memory   : 0
% 0.22/0.50  # Backward-subsumed                    : 0
% 0.22/0.50  # Backward-rewritten                   : 0
% 0.22/0.50  # Generated clauses                    : 1
% 0.22/0.50  # ...of the previous two non-redundant : 0
% 0.22/0.50  # ...aggressively subsumed             : 0
% 0.22/0.50  # Contextual simplify-reflections      : 3
% 0.22/0.50  # Paramodulations                      : 1
% 0.22/0.50  # Factorizations                       : 0
% 0.22/0.50  # NegExts                              : 0
% 0.22/0.50  # Equation resolutions                 : 0
% 0.22/0.50  # Disequality decompositions           : 0
% 0.22/0.50  # Total rewrite steps                  : 1
% 0.22/0.50  # ...of those cached                   : 0
% 0.22/0.50  # Propositional unsat checks           : 0
% 0.22/0.50  #    Propositional check models        : 0
% 0.22/0.50  #    Propositional check unsatisfiable : 0
% 0.22/0.50  #    Propositional clauses             : 0
% 0.22/0.50  #    Propositional clauses after purity: 0
% 0.22/0.50  #    Propositional unsat core size     : 0
% 0.22/0.50  #    Propositional preprocessing time  : 0.000
% 0.22/0.50  #    Propositional encoding time       : 0.000
% 0.22/0.50  #    Propositional solver time         : 0.000
% 0.22/0.50  #    Success case prop preproc time    : 0.000
% 0.22/0.50  #    Success case prop encoding time   : 0.000
% 0.22/0.50  #    Success case prop solver time     : 0.000
% 0.22/0.50  # Current number of processed clauses  : 5
% 0.22/0.50  #    Positive orientable unit clauses  : 1
% 0.22/0.50  #    Positive unorientable unit clauses: 0
% 0.22/0.50  #    Negative unit clauses             : 1
% 0.22/0.50  #    Non-unit-clauses                  : 3
% 0.22/0.50  # Current number of unprocessed clauses: 2
% 0.22/0.50  # ...number of literals in the above   : 5
% 0.22/0.50  # Current number of archived formulas  : 0
% 0.22/0.50  # Current number of archived clauses   : 7
% 0.22/0.50  # Clause-clause subsumption calls (NU) : 14
% 0.22/0.50  # Rec. Clause-clause subsumption calls : 10
% 0.22/0.50  # Non-unit clause-clause subsumptions  : 4
% 0.22/0.50  # Unit Clause-clause subsumption calls : 0
% 0.22/0.50  # Rewrite failures with RHS unbound    : 0
% 0.22/0.50  # BW rewrite match attempts            : 0
% 0.22/0.50  # BW rewrite match successes           : 0
% 0.22/0.50  # Condensation attempts                : 0
% 0.22/0.50  # Condensation successes               : 0
% 0.22/0.50  # Termbank termtop insertions          : 689
% 0.22/0.50  # Search garbage collected termcells   : 123
% 0.22/0.50  
% 0.22/0.50  # -------------------------------------------------
% 0.22/0.50  # User time                : 0.004 s
% 0.22/0.50  # System time              : 0.001 s
% 0.22/0.50  # Total time               : 0.005 s
% 0.22/0.50  # Maximum resident set size: 1760 pages
% 0.22/0.50  
% 0.22/0.50  # -------------------------------------------------
% 0.22/0.50  # User time                : 0.005 s
% 0.22/0.50  # System time              : 0.003 s
% 0.22/0.50  # Total time               : 0.008 s
% 0.22/0.50  # Maximum resident set size: 1712 pages
% 0.22/0.50  % E---3.1 exiting
% 0.22/0.51  % E exiting
%------------------------------------------------------------------------------