TSTP Solution File: SET925+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SET925+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:21:19 EDT 2023

% Result   : Theorem 0.11s 0.40s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   3 unt;   0 def)
%            Number of atoms       :   25 (  12 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   23 (  10   ~;   8   |;   2   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t68_zfmisc_1,conjecture,
    ! [X1,X2] :
      ( set_difference(singleton(X1),X2) = empty_set
    <=> in(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.tDlqisQs2h/E---3.1_29144.p',t68_zfmisc_1) ).

fof(l36_zfmisc_1,axiom,
    ! [X1,X2] :
      ( set_difference(singleton(X1),X2) = empty_set
    <=> in(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.tDlqisQs2h/E---3.1_29144.p',l36_zfmisc_1) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1,X2] :
        ( set_difference(singleton(X1),X2) = empty_set
      <=> in(X1,X2) ),
    inference(assume_negation,[status(cth)],[t68_zfmisc_1]) ).

fof(c_0_3,plain,
    ! [X7,X8] :
      ( ( set_difference(singleton(X7),X8) != empty_set
        | in(X7,X8) )
      & ( ~ in(X7,X8)
        | set_difference(singleton(X7),X8) = empty_set ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l36_zfmisc_1])]) ).

fof(c_0_4,negated_conjecture,
    ( ( set_difference(singleton(esk1_0),esk2_0) != empty_set
      | ~ in(esk1_0,esk2_0) )
    & ( set_difference(singleton(esk1_0),esk2_0) = empty_set
      | in(esk1_0,esk2_0) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

cnf(c_0_5,plain,
    ( in(X1,X2)
    | set_difference(singleton(X1),X2) != empty_set ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    ( set_difference(singleton(esk1_0),esk2_0) = empty_set
    | in(esk1_0,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ( set_difference(singleton(esk1_0),esk2_0) != empty_set
    | ~ in(esk1_0,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    in(esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    set_difference(singleton(esk1_0),esk2_0) != empty_set,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).

cnf(c_0_10,plain,
    ( set_difference(singleton(X1),X2) = empty_set
    | ~ in(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : SET925+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.08  % Command    : run_E %s %d THM
% 0.08/0.26  % Computer : n026.cluster.edu
% 0.08/0.26  % Model    : x86_64 x86_64
% 0.08/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26  % Memory   : 8042.1875MB
% 0.08/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26  % CPULimit   : 2400
% 0.08/0.26  % WCLimit    : 300
% 0.08/0.26  % DateTime   : Mon Oct  2 18:00:44 EDT 2023
% 0.08/0.27  % CPUTime    : 
% 0.11/0.39  Running first-order theorem proving
% 0.11/0.39  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.tDlqisQs2h/E---3.1_29144.p
% 0.11/0.40  # Version: 3.1pre001
% 0.11/0.40  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.11/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.40  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.11/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.11/0.40  # Starting new_bool_1 with 300s (1) cores
% 0.11/0.40  # Starting sh5l with 300s (1) cores
% 0.11/0.40  # new_bool_1 with pid 29305 completed with status 0
% 0.11/0.40  # Result found by new_bool_1
% 0.11/0.40  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.11/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.40  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.11/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.11/0.40  # Starting new_bool_1 with 300s (1) cores
% 0.11/0.40  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.40  # Search class: FGHSF-FFSS21-SFFFFFNN
% 0.11/0.40  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.40  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.11/0.40  # SAT001_MinMin_p005000_rr_RG with pid 29314 completed with status 0
% 0.11/0.40  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.11/0.40  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.11/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.40  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.11/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.11/0.40  # Starting new_bool_1 with 300s (1) cores
% 0.11/0.40  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.40  # Search class: FGHSF-FFSS21-SFFFFFNN
% 0.11/0.40  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.40  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.11/0.40  # Preprocessing time       : 0.001 s
% 0.11/0.40  # Presaturation interreduction done
% 0.11/0.40  
% 0.11/0.40  # Proof found!
% 0.11/0.40  # SZS status Theorem
% 0.11/0.40  # SZS output start CNFRefutation
% See solution above
% 0.11/0.40  # Parsed axioms                        : 6
% 0.11/0.40  # Removed by relevancy pruning/SinE    : 0
% 0.11/0.40  # Initial clauses                      : 8
% 0.11/0.40  # Removed in clause preprocessing      : 0
% 0.11/0.40  # Initial clauses in saturation        : 8
% 0.11/0.40  # Processed clauses                    : 19
% 0.11/0.40  # ...of these trivial                  : 0
% 0.11/0.40  # ...subsumed                          : 0
% 0.11/0.40  # ...remaining for further processing  : 19
% 0.11/0.40  # Other redundant clauses eliminated   : 0
% 0.11/0.40  # Clauses deleted for lack of memory   : 0
% 0.11/0.40  # Backward-subsumed                    : 0
% 0.11/0.40  # Backward-rewritten                   : 2
% 0.11/0.40  # Generated clauses                    : 5
% 0.11/0.40  # ...of the previous two non-redundant : 3
% 0.11/0.40  # ...aggressively subsumed             : 0
% 0.11/0.40  # Contextual simplify-reflections      : 0
% 0.11/0.40  # Paramodulations                      : 5
% 0.11/0.40  # Factorizations                       : 0
% 0.11/0.40  # NegExts                              : 0
% 0.11/0.40  # Equation resolutions                 : 0
% 0.11/0.40  # Total rewrite steps                  : 3
% 0.11/0.40  # Propositional unsat checks           : 0
% 0.11/0.40  #    Propositional check models        : 0
% 0.11/0.40  #    Propositional check unsatisfiable : 0
% 0.11/0.40  #    Propositional clauses             : 0
% 0.11/0.40  #    Propositional clauses after purity: 0
% 0.11/0.40  #    Propositional unsat core size     : 0
% 0.11/0.40  #    Propositional preprocessing time  : 0.000
% 0.11/0.40  #    Propositional encoding time       : 0.000
% 0.11/0.40  #    Propositional solver time         : 0.000
% 0.11/0.40  #    Success case prop preproc time    : 0.000
% 0.11/0.40  #    Success case prop encoding time   : 0.000
% 0.11/0.40  #    Success case prop solver time     : 0.000
% 0.11/0.40  # Current number of processed clauses  : 9
% 0.11/0.40  #    Positive orientable unit clauses  : 3
% 0.11/0.40  #    Positive unorientable unit clauses: 0
% 0.11/0.40  #    Negative unit clauses             : 3
% 0.11/0.40  #    Non-unit-clauses                  : 3
% 0.11/0.40  # Current number of unprocessed clauses: 0
% 0.11/0.40  # ...number of literals in the above   : 0
% 0.11/0.40  # Current number of archived formulas  : 0
% 0.11/0.40  # Current number of archived clauses   : 10
% 0.11/0.40  # Clause-clause subsumption calls (NU) : 0
% 0.11/0.40  # Rec. Clause-clause subsumption calls : 0
% 0.11/0.40  # Non-unit clause-clause subsumptions  : 0
% 0.11/0.40  # Unit Clause-clause subsumption calls : 1
% 0.11/0.40  # Rewrite failures with RHS unbound    : 0
% 0.11/0.40  # BW rewrite match attempts            : 1
% 0.11/0.40  # BW rewrite match successes           : 1
% 0.11/0.40  # Condensation attempts                : 0
% 0.11/0.40  # Condensation successes               : 0
% 0.11/0.40  # Termbank termtop insertions          : 395
% 0.11/0.40  
% 0.11/0.40  # -------------------------------------------------
% 0.11/0.40  # User time                : 0.003 s
% 0.11/0.40  # System time              : 0.003 s
% 0.11/0.40  # Total time               : 0.006 s
% 0.11/0.40  # Maximum resident set size: 1768 pages
% 0.11/0.40  
% 0.11/0.40  # -------------------------------------------------
% 0.11/0.40  # User time                : 0.003 s
% 0.11/0.40  # System time              : 0.006 s
% 0.11/0.40  # Total time               : 0.009 s
% 0.11/0.40  # Maximum resident set size: 1672 pages
% 0.11/0.40  % E---3.1 exiting
% 0.29/0.40  % E---3.1 exiting
%------------------------------------------------------------------------------