TSTP Solution File: SWW469_1 by E---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.2.0
% Problem  : SWW469_1 : TPTP v8.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.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 : Mon Jun 24 18:12:03 EDT 2024

% Result   : Theorem 0.82s 0.99s
% Output   : CNFRefutation 0.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   17 (   9 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   15 (   9   ~;   3   |;   1   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   12 (   0 sgn   8   !;   4   ?;  12   :)

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

tff(decl_24,type,
    hoare_1310879719gleton: $o ).

tff(decl_25,type,
    esk1_0: state ).

tff(decl_26,type,
    esk2_0: state ).

tff(decl_27,type,
    esk3_0: state ).

tff(fact_0_state__not__singleton__def,axiom,
    ( hoare_1310879719gleton
  <=> ? [X1: state,X2: state] : ( X1 != X2 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.7c1hja98zq/E---3.1_21449.p',fact_0_state__not__singleton__def) ).

tff(conj_1,conjecture,
    ! [X2: state] :
      ~ ! [X1: state] : ( X1 = X2 ),
    file('/export/starexec/sandbox2/tmp/tmp.7c1hja98zq/E---3.1_21449.p',conj_1) ).

fof(conj_0,hypothesis,
    hoare_1310879719gleton,
    file('/export/starexec/sandbox2/tmp/tmp.7c1hja98zq/E---3.1_21449.p',conj_0) ).

tff(c_0_3,plain,
    ( hoare_1310879719gleton
  <=> ? [X1: state,X2: state] : ( X1 != X2 ) ),
    inference(fof_simplification,[status(thm)],[fact_0_state__not__singleton__def]) ).

tff(c_0_4,negated_conjecture,
    ~ ! [X2: state] :
        ~ ! [X1: state] : ( X1 = X2 ),
    inference(assume_negation,[status(cth)],[conj_1]) ).

tff(c_0_5,plain,
    ! [X5: state,X6: state] :
      ( ( ~ hoare_1310879719gleton
        | ( esk1_0 != esk2_0 ) )
      & ( ( X5 = X6 )
        | hoare_1310879719gleton ) ),
    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_3])])])])]) ).

tff(c_0_6,negated_conjecture,
    ! [X8: state] : ( X8 = esk3_0 ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

tcf(c_0_7,plain,
    ( ~ hoare_1310879719gleton
    | ( esk1_0 != esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

tcf(c_0_8,negated_conjecture,
    ! [X1: state] : X1 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,hypothesis,
    hoare_1310879719gleton,
    inference(split_conjunct,[status(thm)],[conj_0]) ).

cnf(c_0_10,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_8]),c_0_9])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SWW469_1 : TPTP v8.2.0. Released v5.3.0.
% 0.04/0.13  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n020.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   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Wed Jun 19 08:09:39 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.22/0.47  Running first-order theorem proving
% 0.22/0.47  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.7c1hja98zq/E---3.1_21449.p
% 0.82/0.99  # Version: 3.2.0
% 0.82/0.99  # Preprocessing class: FSSSSLSSSSSNFFN.
% 0.82/0.99  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.82/0.99  # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.82/0.99  # Starting new_bool_3 with 300s (1) cores
% 0.82/0.99  # Starting new_bool_1 with 300s (1) cores
% 0.82/0.99  # Starting sh5l with 300s (1) cores
% 0.82/0.99  # SAT001_MinMin_p005000_rr_RG with pid 21528 completed with status 0
% 0.82/0.99  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.82/0.99  # Preprocessing class: FSSSSLSSSSSNFFN.
% 0.82/0.99  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.82/0.99  # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.82/0.99  # No SInE strategy applied
% 0.82/0.99  # Search class: FGHSF-FFSS00-SFFFFFNN
% 0.82/0.99  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.82/0.99  # Starting SAT001_MinMin_p005000_rr_RG with 901s (1) cores
% 0.82/0.99  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 151s (1) cores
% 0.82/0.99  # Starting new_bool_3 with 151s (1) cores
% 0.82/0.99  # Starting new_bool_1 with 151s (1) cores
% 0.82/0.99  # Starting sh5l with 146s (1) cores
% 0.82/0.99  # SAT001_MinMin_p005000_rr_RG with pid 21534 completed with status 0
% 0.82/0.99  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.82/0.99  # Preprocessing class: FSSSSLSSSSSNFFN.
% 0.82/0.99  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.82/0.99  # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.82/0.99  # No SInE strategy applied
% 0.82/0.99  # Search class: FGHSF-FFSS00-SFFFFFNN
% 0.82/0.99  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.82/0.99  # Starting SAT001_MinMin_p005000_rr_RG with 901s (1) cores
% 0.82/0.99  # Preprocessing time       : 0.001 s
% 0.82/0.99  # Presaturation interreduction done
% 0.82/0.99  
% 0.82/0.99  # Proof found!
% 0.82/0.99  # SZS status Theorem
% 0.82/0.99  # SZS output start CNFRefutation
% See solution above
% 0.82/0.99  # Parsed axioms                        : 10
% 0.82/0.99  # Removed by relevancy pruning/SinE    : 0
% 0.82/0.99  # Initial clauses                      : 11
% 0.82/0.99  # Removed in clause preprocessing      : 4
% 0.82/0.99  # Initial clauses in saturation        : 7
% 0.82/0.99  # Processed clauses                    : 6
% 0.82/0.99  # ...of these trivial                  : 1
% 0.82/0.99  # ...subsumed                          : 0
% 0.82/0.99  # ...remaining for further processing  : 4
% 0.82/0.99  # Other redundant clauses eliminated   : 0
% 0.82/0.99  # Clauses deleted for lack of memory   : 0
% 0.82/0.99  # Backward-subsumed                    : 0
% 0.82/0.99  # Backward-rewritten                   : 0
% 0.82/0.99  # Generated clauses                    : 0
% 0.82/0.99  # ...of the previous two non-redundant : 0
% 0.82/0.99  # ...aggressively subsumed             : 0
% 0.82/0.99  # Contextual simplify-reflections      : 0
% 0.82/0.99  # Paramodulations                      : 0
% 0.82/0.99  # Factorizations                       : 0
% 0.82/0.99  # NegExts                              : 0
% 0.82/0.99  # Equation resolutions                 : 0
% 0.82/0.99  # Disequality decompositions           : 0
% 0.82/0.99  # Total rewrite steps                  : 4
% 0.82/0.99  # ...of those cached                   : 0
% 0.82/0.99  # Propositional unsat checks           : 0
% 0.82/0.99  #    Propositional check models        : 0
% 0.82/0.99  #    Propositional check unsatisfiable : 0
% 0.82/0.99  #    Propositional clauses             : 0
% 0.82/0.99  #    Propositional clauses after purity: 0
% 0.82/0.99  #    Propositional unsat core size     : 0
% 0.82/0.99  #    Propositional preprocessing time  : 0.000
% 0.82/0.99  #    Propositional encoding time       : 0.000
% 0.82/0.99  #    Propositional solver time         : 0.000
% 0.82/0.99  #    Success case prop preproc time    : 0.000
% 0.82/0.99  #    Success case prop encoding time   : 0.000
% 0.82/0.99  #    Success case prop solver time     : 0.000
% 0.82/0.99  # Current number of processed clauses  : 4
% 0.82/0.99  #    Positive orientable unit clauses  : 2
% 0.82/0.99  #    Positive unorientable unit clauses: 1
% 0.82/0.99  #    Negative unit clauses             : 1
% 0.82/0.99  #    Non-unit-clauses                  : 0
% 0.82/0.99  # Current number of unprocessed clauses: 1
% 0.82/0.99  # ...number of literals in the above   : 2
% 0.82/0.99  # Current number of archived formulas  : 0
% 0.82/0.99  # Current number of archived clauses   : 0
% 0.82/0.99  # Clause-clause subsumption calls (NU) : 0
% 0.82/0.99  # Rec. Clause-clause subsumption calls : 0
% 0.82/0.99  # Non-unit clause-clause subsumptions  : 0
% 0.82/0.99  # Unit Clause-clause subsumption calls : 0
% 0.82/0.99  # Rewrite failures with RHS unbound    : 0
% 0.82/0.99  # BW rewrite match attempts            : 0
% 0.82/0.99  # BW rewrite match successes           : 0
% 0.82/0.99  # Condensation attempts                : 0
% 0.82/0.99  # Condensation successes               : 0
% 0.82/0.99  # Termbank termtop insertions          : 195
% 0.82/0.99  # Search garbage collected termcells   : 41
% 0.82/0.99  
% 0.82/0.99  # -------------------------------------------------
% 0.82/0.99  # User time                : 0.001 s
% 0.82/0.99  # System time              : 0.002 s
% 0.82/0.99  # Total time               : 0.003 s
% 0.82/0.99  # Maximum resident set size: 1672 pages
% 0.82/0.99  
% 0.82/0.99  # -------------------------------------------------
% 0.82/0.99  # User time                : 0.003 s
% 0.82/0.99  # System time              : 0.008 s
% 0.82/0.99  # Total time               : 0.011 s
% 0.82/0.99  # Maximum resident set size: 1688 pages
% 0.82/0.99  % E---3.1 exiting
% 0.82/0.99  % E exiting
%------------------------------------------------------------------------------