TSTP Solution File: SET045+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SET045+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 19:18:08 EDT 2023

% Result   : Theorem 0.20s 0.48s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   27 (  13   ~;   8   |;   4   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   22 (   3 sgn;  10   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel41_1,axiom,
    ! [X1] :
    ? [X2] :
    ! [X3] :
      ( element(X3,X2)
    <=> ( element(X3,X1)
        & ~ element(X3,X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jvT6xUm0eb/E---3.1_5021.p',pel41_1) ).

fof(pel41,conjecture,
    ~ ? [X1] :
      ! [X3] : element(X3,X1),
    file('/export/starexec/sandbox2/tmp/tmp.jvT6xUm0eb/E---3.1_5021.p',pel41) ).

fof(c_0_2,plain,
    ! [X1] :
    ? [X2] :
    ! [X3] :
      ( element(X3,X2)
    <=> ( element(X3,X1)
        & ~ element(X3,X3) ) ),
    inference(fof_simplification,[status(thm)],[pel41_1]) ).

fof(c_0_3,negated_conjecture,
    ~ ~ ? [X1] :
        ! [X3] : element(X3,X1),
    inference(assume_negation,[status(cth)],[pel41]) ).

fof(c_0_4,plain,
    ! [X6,X8,X9] :
      ( ( element(X8,X6)
        | ~ element(X8,esk2_1(X6)) )
      & ( ~ element(X8,X8)
        | ~ element(X8,esk2_1(X6)) )
      & ( ~ element(X9,X6)
        | element(X9,X9)
        | element(X9,esk2_1(X6)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])]) ).

fof(c_0_5,negated_conjecture,
    ! [X5] : element(X5,esk1_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

cnf(c_0_6,plain,
    ( element(X1,X1)
    | element(X1,esk2_1(X2))
    | ~ element(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    element(X1,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( ~ element(X1,X1)
    | ~ element(X1,esk2_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    ( element(X1,esk2_1(esk1_0))
    | element(X1,X1) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    element(esk2_1(X1),esk2_1(esk1_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_9]) ).

cnf(c_0_11,negated_conjecture,
    ~ element(esk2_1(X1),esk2_1(X1)),
    inference(spm,[status(thm)],[c_0_8,c_0_10]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_11,c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SET045+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Oct  2 17:04:52 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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.jvT6xUm0eb/E---3.1_5021.p
% 0.20/0.48  # Version: 3.1pre001
% 0.20/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48  # Starting sh5l with 300s (1) cores
% 0.20/0.48  # new_bool_3 with pid 5100 completed with status 0
% 0.20/0.48  # Result found by new_bool_3
% 0.20/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.48  # Search class: FGHNF-FFSF11-SFFFFFNN
% 0.20/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.48  # SAT001_MinMin_p005000_rr_RG with pid 5105 completed with status 0
% 0.20/0.48  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.48  # Search class: FGHNF-FFSF11-SFFFFFNN
% 0.20/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.48  # Preprocessing time       : 0.001 s
% 0.20/0.48  # Presaturation interreduction done
% 0.20/0.48  
% 0.20/0.48  # Proof found!
% 0.20/0.48  # SZS status Theorem
% 0.20/0.48  # SZS output start CNFRefutation
% See solution above
% 0.20/0.48  # Parsed axioms                        : 2
% 0.20/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.48  # Initial clauses                      : 4
% 0.20/0.48  # Removed in clause preprocessing      : 0
% 0.20/0.48  # Initial clauses in saturation        : 4
% 0.20/0.48  # Processed clauses                    : 11
% 0.20/0.48  # ...of these trivial                  : 0
% 0.20/0.48  # ...subsumed                          : 0
% 0.20/0.48  # ...remaining for further processing  : 11
% 0.20/0.48  # Other redundant clauses eliminated   : 0
% 0.20/0.48  # Clauses deleted for lack of memory   : 0
% 0.20/0.48  # Backward-subsumed                    : 0
% 0.20/0.48  # Backward-rewritten                   : 0
% 0.20/0.48  # Generated clauses                    : 14
% 0.20/0.48  # ...of the previous two non-redundant : 9
% 0.20/0.48  # ...aggressively subsumed             : 0
% 0.20/0.48  # Contextual simplify-reflections      : 1
% 0.20/0.48  # Paramodulations                      : 12
% 0.20/0.48  # Factorizations                       : 2
% 0.20/0.48  # NegExts                              : 0
% 0.20/0.48  # Equation resolutions                 : 0
% 0.20/0.48  # Total rewrite steps                  : 3
% 0.20/0.48  # Propositional unsat checks           : 0
% 0.20/0.48  #    Propositional check models        : 0
% 0.20/0.48  #    Propositional check unsatisfiable : 0
% 0.20/0.48  #    Propositional clauses             : 0
% 0.20/0.48  #    Propositional clauses after purity: 0
% 0.20/0.48  #    Propositional unsat core size     : 0
% 0.20/0.48  #    Propositional preprocessing time  : 0.000
% 0.20/0.48  #    Propositional encoding time       : 0.000
% 0.20/0.48  #    Propositional solver time         : 0.000
% 0.20/0.48  #    Success case prop preproc time    : 0.000
% 0.20/0.48  #    Success case prop encoding time   : 0.000
% 0.20/0.48  #    Success case prop solver time     : 0.000
% 0.20/0.48  # Current number of processed clauses  : 7
% 0.20/0.48  #    Positive orientable unit clauses  : 2
% 0.20/0.48  #    Positive unorientable unit clauses: 0
% 0.20/0.48  #    Negative unit clauses             : 1
% 0.20/0.48  #    Non-unit-clauses                  : 4
% 0.20/0.48  # Current number of unprocessed clauses: 6
% 0.20/0.48  # ...number of literals in the above   : 11
% 0.20/0.48  # Current number of archived formulas  : 0
% 0.20/0.48  # Current number of archived clauses   : 4
% 0.20/0.48  # Clause-clause subsumption calls (NU) : 8
% 0.20/0.48  # Rec. Clause-clause subsumption calls : 8
% 0.20/0.48  # Non-unit clause-clause subsumptions  : 1
% 0.20/0.48  # Unit Clause-clause subsumption calls : 0
% 0.20/0.48  # Rewrite failures with RHS unbound    : 0
% 0.20/0.48  # BW rewrite match attempts            : 0
% 0.20/0.48  # BW rewrite match successes           : 0
% 0.20/0.48  # Condensation attempts                : 0
% 0.20/0.48  # Condensation successes               : 0
% 0.20/0.48  # Termbank termtop insertions          : 349
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.004 s
% 0.20/0.48  # System time              : 0.000 s
% 0.20/0.48  # Total time               : 0.004 s
% 0.20/0.48  # Maximum resident set size: 1592 pages
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.004 s
% 0.20/0.48  # System time              : 0.002 s
% 0.20/0.48  # Total time               : 0.006 s
% 0.20/0.48  # Maximum resident set size: 1676 pages
% 0.20/0.48  % E---3.1 exiting
% 0.20/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------