TSTP Solution File: SET924+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SET924+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n016.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 19:21:18 EDT 2023

% Result   : Theorem 0.17s 0.42s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   2 unt;   0 def)
%            Number of atoms       :   26 (  12 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   28 (  14   ~;   8   |;   2   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn;  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l34_zfmisc_1,axiom,
    ! [X1,X2] :
      ( set_difference(singleton(X1),X2) = singleton(X1)
    <=> ~ in(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.dXBXidMIAh/E---3.1_15469.p',l34_zfmisc_1) ).

fof(t67_zfmisc_1,conjecture,
    ! [X1,X2] :
      ( set_difference(singleton(X1),X2) = singleton(X1)
    <=> ~ in(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.dXBXidMIAh/E---3.1_15469.p',t67_zfmisc_1) ).

fof(c_0_2,plain,
    ! [X1,X2] :
      ( set_difference(singleton(X1),X2) = singleton(X1)
    <=> ~ in(X1,X2) ),
    inference(fof_simplification,[status(thm)],[l34_zfmisc_1]) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1,X2] :
        ( set_difference(singleton(X1),X2) = singleton(X1)
      <=> ~ in(X1,X2) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t67_zfmisc_1])]) ).

fof(c_0_4,plain,
    ! [X7,X8] :
      ( ( set_difference(singleton(X7),X8) != singleton(X7)
        | ~ in(X7,X8) )
      & ( in(X7,X8)
        | set_difference(singleton(X7),X8) = singleton(X7) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])]) ).

fof(c_0_5,negated_conjecture,
    ( ( set_difference(singleton(esk1_0),esk2_0) != singleton(esk1_0)
      | in(esk1_0,esk2_0) )
    & ( set_difference(singleton(esk1_0),esk2_0) = singleton(esk1_0)
      | ~ in(esk1_0,esk2_0) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

cnf(c_0_6,plain,
    ( set_difference(singleton(X1),X2) != singleton(X1)
    | ~ in(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ( set_difference(singleton(esk1_0),esk2_0) = singleton(esk1_0)
    | ~ in(esk1_0,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    ( in(esk1_0,esk2_0)
    | set_difference(singleton(esk1_0),esk2_0) != singleton(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( in(X1,X2)
    | set_difference(singleton(X1),X2) = singleton(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,negated_conjecture,
    ~ in(esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SET924+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n016.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 2400
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Mon Oct  2 17:44:51 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.17/0.41  Running first-order theorem proving
% 0.17/0.41  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.dXBXidMIAh/E---3.1_15469.p
% 0.17/0.42  # Version: 3.1pre001
% 0.17/0.42  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.42  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.42  # Starting sh5l with 300s (1) cores
% 0.17/0.42  # new_bool_3 with pid 15549 completed with status 0
% 0.17/0.42  # Result found by new_bool_3
% 0.17/0.42  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.42  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.42  # Search class: FGHSF-FFSF21-SFFFFFNN
% 0.17/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.42  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.42  # SAT001_MinMin_p005000_rr_RG with pid 15552 completed with status 0
% 0.17/0.42  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.42  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.42  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.42  # Search class: FGHSF-FFSF21-SFFFFFNN
% 0.17/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.42  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.42  # Preprocessing time       : 0.001 s
% 0.17/0.42  # Presaturation interreduction done
% 0.17/0.42  
% 0.17/0.42  # Proof found!
% 0.17/0.42  # SZS status Theorem
% 0.17/0.42  # SZS output start CNFRefutation
% See solution above
% 0.17/0.42  # Parsed axioms                        : 5
% 0.17/0.42  # Removed by relevancy pruning/SinE    : 2
% 0.17/0.42  # Initial clauses                      : 5
% 0.17/0.42  # Removed in clause preprocessing      : 0
% 0.17/0.42  # Initial clauses in saturation        : 5
% 0.17/0.42  # Processed clauses                    : 11
% 0.17/0.42  # ...of these trivial                  : 0
% 0.17/0.42  # ...subsumed                          : 0
% 0.17/0.42  # ...remaining for further processing  : 11
% 0.17/0.42  # Other redundant clauses eliminated   : 0
% 0.17/0.42  # Clauses deleted for lack of memory   : 0
% 0.17/0.42  # Backward-subsumed                    : 1
% 0.17/0.42  # Backward-rewritten                   : 0
% 0.17/0.42  # Generated clauses                    : 4
% 0.17/0.42  # ...of the previous two non-redundant : 1
% 0.17/0.42  # ...aggressively subsumed             : 0
% 0.17/0.42  # Contextual simplify-reflections      : 0
% 0.17/0.42  # Paramodulations                      : 4
% 0.17/0.42  # Factorizations                       : 0
% 0.17/0.42  # NegExts                              : 0
% 0.17/0.42  # Equation resolutions                 : 0
% 0.17/0.42  # Total rewrite steps                  : 0
% 0.17/0.42  # Propositional unsat checks           : 0
% 0.17/0.42  #    Propositional check models        : 0
% 0.17/0.42  #    Propositional check unsatisfiable : 0
% 0.17/0.42  #    Propositional clauses             : 0
% 0.17/0.42  #    Propositional clauses after purity: 0
% 0.17/0.42  #    Propositional unsat core size     : 0
% 0.17/0.42  #    Propositional preprocessing time  : 0.000
% 0.17/0.42  #    Propositional encoding time       : 0.000
% 0.17/0.42  #    Propositional solver time         : 0.000
% 0.17/0.42  #    Success case prop preproc time    : 0.000
% 0.17/0.42  #    Success case prop encoding time   : 0.000
% 0.17/0.42  #    Success case prop solver time     : 0.000
% 0.17/0.42  # Current number of processed clauses  : 5
% 0.17/0.42  #    Positive orientable unit clauses  : 0
% 0.17/0.42  #    Positive unorientable unit clauses: 0
% 0.17/0.42  #    Negative unit clauses             : 1
% 0.17/0.42  #    Non-unit-clauses                  : 4
% 0.17/0.42  # Current number of unprocessed clauses: 0
% 0.17/0.42  # ...number of literals in the above   : 0
% 0.17/0.42  # Current number of archived formulas  : 0
% 0.17/0.42  # Current number of archived clauses   : 6
% 0.17/0.42  # Clause-clause subsumption calls (NU) : 0
% 0.17/0.42  # Rec. Clause-clause subsumption calls : 0
% 0.17/0.42  # Non-unit clause-clause subsumptions  : 0
% 0.17/0.42  # Unit Clause-clause subsumption calls : 1
% 0.17/0.42  # Rewrite failures with RHS unbound    : 0
% 0.17/0.42  # BW rewrite match attempts            : 0
% 0.17/0.42  # BW rewrite match successes           : 0
% 0.17/0.42  # Condensation attempts                : 0
% 0.17/0.42  # Condensation successes               : 0
% 0.17/0.42  # Termbank termtop insertions          : 375
% 0.17/0.42  
% 0.17/0.42  # -------------------------------------------------
% 0.17/0.42  # User time                : 0.002 s
% 0.17/0.42  # System time              : 0.002 s
% 0.17/0.42  # Total time               : 0.004 s
% 0.17/0.42  # Maximum resident set size: 1600 pages
% 0.17/0.42  
% 0.17/0.42  # -------------------------------------------------
% 0.17/0.42  # User time                : 0.002 s
% 0.17/0.42  # System time              : 0.004 s
% 0.17/0.42  # Total time               : 0.006 s
% 0.17/0.42  # Maximum resident set size: 1680 pages
% 0.17/0.42  % E---3.1 exiting
% 0.17/0.42  % E---3.1 exiting
%------------------------------------------------------------------------------