TSTP Solution File: SWW469+1 by E-SAT---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.2.0
% Problem  : SWW469+1 : TPTP v8.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d SAT

% Computer : n010.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 18:14:37 EDT 2024

% Result   : Timeout 300.04s 100.42s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (   7 unt;   0 def)
%            Number of atoms       :   44 (  12 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   47 (  21   ~;  12   |;   8   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   12 (   0 sgn   7   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_0_state__not__singleton__def,axiom,
    ( hoare_165779456gleton
  <=> ? [X1,X2] :
        ( is_state(X1)
        & is_state(X2)
        & X1 != X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.l3hTCtfXWJ/E---3.1_29017.p',fact_0_state__not__singleton__def) ).

fof(conj_1,conjecture,
    ! [X2] :
      ( is_state(X2)
     => ~ ! [X1] :
            ( is_state(X1)
           => X1 = X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.l3hTCtfXWJ/E---3.1_29017.p',conj_1) ).

fof(conj_0,hypothesis,
    hoare_165779456gleton,
    file('/export/starexec/sandbox/tmp/tmp.l3hTCtfXWJ/E---3.1_29017.p',conj_0) ).

fof(c_0_3,plain,
    ( hoare_165779456gleton
  <=> ? [X1,X2] :
        ( is_state(X1)
        & is_state(X2)
        & X1 != X2 ) ),
    inference(fof_simplification,[status(thm)],[fact_0_state__not__singleton__def]) ).

fof(c_0_4,plain,
    ! [X7,X8] :
      ( ( is_state(esk2_0)
        | ~ hoare_165779456gleton )
      & ( is_state(esk3_0)
        | ~ hoare_165779456gleton )
      & ( esk2_0 != esk3_0
        | ~ hoare_165779456gleton )
      & ( ~ is_state(X7)
        | ~ is_state(X8)
        | X7 = X8
        | hoare_165779456gleton ) ),
    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_3])])])])])]) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X2] :
        ( is_state(X2)
       => ~ ! [X1] :
              ( is_state(X1)
             => X1 = X2 ) ),
    inference(assume_negation,[status(cth)],[conj_1]) ).

cnf(c_0_6,plain,
    ( esk2_0 != esk3_0
    | ~ hoare_165779456gleton ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,hypothesis,
    hoare_165779456gleton,
    inference(split_conjunct,[status(thm)],[conj_0]) ).

fof(c_0_8,negated_conjecture,
    ! [X4] :
      ( is_state(esk1_0)
      & ( ~ is_state(X4)
        | X4 = esk1_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_5])])])])]) ).

cnf(c_0_9,plain,
    esk3_0 != esk2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).

cnf(c_0_10,negated_conjecture,
    ( X1 = esk1_0
    | ~ is_state(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,plain,
    ( is_state(esk3_0)
    | ~ hoare_165779456gleton ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_12,negated_conjecture,
    ( esk2_0 != esk1_0
    | ~ is_state(esk3_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,plain,
    is_state(esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_7])]) ).

cnf(c_0_14,plain,
    ( is_state(esk2_0)
    | ~ hoare_165779456gleton ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_15,negated_conjecture,
    esk2_0 != esk1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).

cnf(c_0_16,plain,
    is_state(esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_7])]) ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_10]),c_0_16])]),
    [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 SAT
% 0.12/0.34  % Computer : n010.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 04:49:24 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.21/0.50  Running first-order model finding
% 0.21/0.50  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.l3hTCtfXWJ/E---3.1_29017.p
% 300.04/100.42  # Version: 3.2.0
% 300.04/100.42  # Preprocessing class: FSSSSLSSSSSNFFN.
% 300.04/100.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 300.04/100.42  # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 300.04/100.42  # Starting new_bool_3 with 300s (1) cores
% 300.04/100.42  # Starting new_bool_1 with 300s (1) cores
% 300.04/100.42  # Starting sh5l with 300s (1) cores
% 300.04/100.42  # new_bool_1 with pid 29176 completed with status 0
% 300.04/100.42  # Result found by new_bool_1
% 300.04/100.42  # Preprocessing class: FSSSSLSSSSSNFFN.
% 300.04/100.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 300.04/100.42  # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 300.04/100.42  # Starting new_bool_3 with 300s (1) cores
% 300.04/100.42  # Starting new_bool_1 with 300s (1) cores
% 300.04/100.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 300.04/100.42  # Search class: FGHSF-FFSF00-SFFFFFNN
% 300.04/100.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 300.04/100.42  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mA with 181s (1) cores
% 300.04/100.42  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mA with pid 29178 completed with status 0
% 300.04/100.42  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mA
% 300.04/100.42  # Preprocessing class: FSSSSLSSSSSNFFN.
% 300.04/100.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 300.04/100.42  # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 300.04/100.42  # Starting new_bool_3 with 300s (1) cores
% 300.04/100.42  # Starting new_bool_1 with 300s (1) cores
% 300.04/100.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 300.04/100.42  # Search class: FGHSF-FFSF00-SFFFFFNN
% 300.04/100.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 300.04/100.42  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mA with 181s (1) cores
% 300.04/100.42  # Preprocessing time       : 0.001 s
% 300.04/100.42  # Presaturation interreduction done
% 300.04/100.42  
% 300.04/100.42  # Proof found!
% 300.04/100.42  # SZS status Theorem
% 300.04/100.42  # SZS output start CNFRefutation
% See solution above
% 300.04/100.42  # Parsed axioms                        : 7
% 300.04/100.42  # Removed by relevancy pruning/SinE    : 4
% 300.04/100.42  # Initial clauses                      : 7
% 300.04/100.42  # Removed in clause preprocessing      : 0
% 300.04/100.42  # Initial clauses in saturation        : 7
% 300.04/100.42  # Processed clauses                    : 15
% 300.04/100.42  # ...of these trivial                  : 1
% 300.04/100.42  # ...subsumed                          : 0
% 300.04/100.42  # ...remaining for further processing  : 14
% 300.04/100.42  # Other redundant clauses eliminated   : 0
% 300.04/100.42  # Clauses deleted for lack of memory   : 0
% 300.04/100.42  # Backward-subsumed                    : 0
% 300.04/100.42  # Backward-rewritten                   : 1
% 300.04/100.42  # Generated clauses                    : 9
% 300.04/100.42  # ...of the previous two non-redundant : 5
% 300.04/100.42  # ...aggressively subsumed             : 0
% 300.04/100.42  # Contextual simplify-reflections      : 0
% 300.04/100.42  # Paramodulations                      : 9
% 300.04/100.42  # Factorizations                       : 0
% 300.04/100.42  # NegExts                              : 0
% 300.04/100.42  # Equation resolutions                 : 0
% 300.04/100.42  # Disequality decompositions           : 0
% 300.04/100.42  # Total rewrite steps                  : 13
% 300.04/100.42  # ...of those cached                   : 9
% 300.04/100.42  # Propositional unsat checks           : 0
% 300.04/100.42  #    Propositional check models        : 0
% 300.04/100.42  #    Propositional check unsatisfiable : 0
% 300.04/100.42  #    Propositional clauses             : 0
% 300.04/100.42  #    Propositional clauses after purity: 0
% 300.04/100.42  #    Propositional unsat core size     : 0
% 300.04/100.42  #    Propositional preprocessing time  : 0.000
% 300.04/100.42  #    Propositional encoding time       : 0.000
% 300.04/100.42  #    Propositional solver time         : 0.000
% 300.04/100.42  #    Success case prop preproc time    : 0.000
% 300.04/100.42  #    Success case prop encoding time   : 0.000
% 300.04/100.42  #    Success case prop solver time     : 0.000
% 300.04/100.42  # Current number of processed clauses  : 7
% 300.04/100.42  #    Positive orientable unit clauses  : 4
% 300.04/100.42  #    Positive unorientable unit clauses: 0
% 300.04/100.42  #    Negative unit clauses             : 2
% 300.04/100.42  #    Non-unit-clauses                  : 1
% 300.04/100.42  # Current number of unprocessed clauses: 3
% 300.04/100.42  # ...number of literals in the above   : 7
% 300.04/100.42  # Current number of archived formulas  : 0
% 300.04/100.42  # Current number of archived clauses   : 7
% 300.04/100.42  # Clause-clause subsumption calls (NU) : 1
% 300.04/100.42  # Rec. Clause-clause subsumption calls : 1
% 300.04/100.42  # Non-unit clause-clause subsumptions  : 0
% 300.04/100.42  # Unit Clause-clause subsumption calls : 1
% 300.04/100.42  # Rewrite failures with RHS unbound    : 0
% 300.04/100.42  # BW rewrite match attempts            : 1
% 300.04/100.42  # BW rewrite match successes           : 1
% 300.04/100.42  # Condensation attempts                : 0
% 300.04/100.42  # Condensation successes               : 0
% 300.04/100.42  # Termbank termtop insertions          : 359
% 300.04/100.42  # Search garbage collected termcells   : 119
% 300.04/100.42  
% 300.04/100.42  # -------------------------------------------------
% 300.04/100.42  # User time                : 0.003 s
% 300.04/100.42  # System time              : 0.002 s
% 300.04/100.42  # Total time               : 0.005 s
% 300.04/100.42  # Maximum resident set size: 1740 pages
% 300.04/100.42  
% 300.04/100.42  # -------------------------------------------------
% 300.04/100.42  # User time                : 0.006 s
% 300.04/100.42  # System time              : 0.002 s
% 300.04/100.42  # Total time               : 0.008 s
% 300.04/100.42  # Maximum resident set size: 1672 pages
% 300.04/100.42  % E---3.1 exiting
% 300.04/100.43  % E exiting
%------------------------------------------------------------------------------