TSTP Solution File: SET788+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SET788+1 : TPTP v8.2.0. Released v3.1.0.
% 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 : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 02:55:59 EDT 2024

% Result   : Timeout 300.18s 100.44s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   20 (   4 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :   66 (  23   ~;  30   |;   5   &)
%                                         (   6 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   31 (   0 sgn  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
    ( ! [X1,X2] :
        ( equalish(X1,X2)
      <=> ! [X3] :
            ( a_member_of(X3,X1)
          <=> a_member_of(X3,X2) ) )
   => ! [X1,X2] :
        ( equalish(X1,X2)
      <=> equalish(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(c_0_1,negated_conjecture,
    ~ ( ! [X1,X2] :
          ( equalish(X1,X2)
        <=> ! [X3] :
              ( a_member_of(X3,X1)
            <=> a_member_of(X3,X2) ) )
     => ! [X1,X2] :
          ( equalish(X1,X2)
        <=> equalish(X2,X1) ) ),
    inference(assume_negation,[status(cth)],[prove_this]) ).

fof(c_0_2,negated_conjecture,
    ! [X4,X5,X6,X7,X8,X9] :
      ( ( ~ a_member_of(X6,X4)
        | a_member_of(X6,X5)
        | ~ equalish(X4,X5) )
      & ( ~ a_member_of(X7,X5)
        | a_member_of(X7,X4)
        | ~ equalish(X4,X5) )
      & ( ~ a_member_of(esk1_2(X8,X9),X8)
        | ~ a_member_of(esk1_2(X8,X9),X9)
        | equalish(X8,X9) )
      & ( a_member_of(esk1_2(X8,X9),X8)
        | a_member_of(esk1_2(X8,X9),X9)
        | equalish(X8,X9) )
      & ( ~ equalish(esk2_0,esk3_0)
        | ~ equalish(esk3_0,esk2_0) )
      & ( equalish(esk2_0,esk3_0)
        | equalish(esk3_0,esk2_0) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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_1])])])])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( a_member_of(X1,X3)
    | ~ a_member_of(X1,X2)
    | ~ equalish(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( equalish(esk2_0,esk3_0)
    | equalish(esk3_0,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( a_member_of(X1,X3)
    | ~ a_member_of(X1,X2)
    | ~ equalish(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    ( a_member_of(X1,esk3_0)
    | ~ a_member_of(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).

cnf(c_0_7,negated_conjecture,
    ( a_member_of(esk1_2(X1,X2),X1)
    | a_member_of(esk1_2(X1,X2),X2)
    | equalish(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8,negated_conjecture,
    ( a_member_of(esk1_2(esk2_0,X1),esk3_0)
    | a_member_of(esk1_2(esk2_0,X1),X1)
    | equalish(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,negated_conjecture,
    ( equalish(X1,X2)
    | ~ a_member_of(esk1_2(X1,X2),X1)
    | ~ a_member_of(esk1_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,negated_conjecture,
    ( a_member_of(esk1_2(esk2_0,esk3_0),esk3_0)
    | equalish(esk2_0,esk3_0) ),
    inference(ef,[status(thm)],[c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    ( equalish(esk2_0,esk3_0)
    | ~ a_member_of(esk1_2(esk2_0,esk3_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,negated_conjecture,
    ( a_member_of(X1,esk2_0)
    | ~ a_member_of(X1,esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_4]),c_0_3]) ).

cnf(c_0_13,negated_conjecture,
    ( ~ equalish(esk2_0,esk3_0)
    | ~ equalish(esk3_0,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_14,negated_conjecture,
    equalish(esk2_0,esk3_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    ( a_member_of(esk1_2(X1,esk2_0),esk3_0)
    | a_member_of(esk1_2(X1,esk2_0),X1)
    | equalish(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_16,negated_conjecture,
    ~ equalish(esk3_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).

cnf(c_0_17,negated_conjecture,
    ( equalish(X1,esk2_0)
    | ~ a_member_of(esk1_2(X1,esk2_0),esk3_0)
    | ~ a_member_of(esk1_2(X1,esk2_0),X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_12]) ).

cnf(c_0_18,negated_conjecture,
    a_member_of(esk1_2(esk3_0,esk2_0),esk3_0),
    inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_15]),c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_18])]),c_0_16]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET788+1 : TPTP v8.2.0. Released v3.1.0.
% 0.03/0.12  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 13:21:23 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 300.18/100.44  # Version: 3.1.0
% 300.18/100.44  # Preprocessing class: FSSSSMSSSSSNFFN.
% 300.18/100.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 300.18/100.44  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 300.18/100.44  # Starting new_bool_3 with 300s (1) cores
% 300.18/100.44  # Starting new_bool_1 with 300s (1) cores
% 300.18/100.44  # Starting sh5l with 300s (1) cores
% 300.18/100.44  # new_bool_3 with pid 10453 completed with status 0
% 300.18/100.44  # Result found by new_bool_3
% 300.18/100.44  # Preprocessing class: FSSSSMSSSSSNFFN.
% 300.18/100.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 300.18/100.44  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 300.18/100.44  # Starting new_bool_3 with 300s (1) cores
% 300.18/100.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 300.18/100.44  # Search class: FGHNF-FFSF22-SFFFFFNN
% 300.18/100.44  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 300.18/100.44  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 300.18/100.44  # SAT001_MinMin_p005000_rr_RG with pid 10458 completed with status 0
% 300.18/100.44  # Result found by SAT001_MinMin_p005000_rr_RG
% 300.18/100.44  # Preprocessing class: FSSSSMSSSSSNFFN.
% 300.18/100.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 300.18/100.44  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 300.18/100.44  # Starting new_bool_3 with 300s (1) cores
% 300.18/100.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 300.18/100.44  # Search class: FGHNF-FFSF22-SFFFFFNN
% 300.18/100.44  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 300.18/100.44  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 300.18/100.44  # Preprocessing time       : 0.001 s
% 300.18/100.44  # Presaturation interreduction done
% 300.18/100.44  
% 300.18/100.44  # Proof found!
% 300.18/100.44  # SZS status Theorem
% 300.18/100.44  # SZS output start CNFRefutation
% See solution above
% 300.18/100.44  # Parsed axioms                        : 1
% 300.18/100.44  # Removed by relevancy pruning/SinE    : 0
% 300.18/100.44  # Initial clauses                      : 6
% 300.18/100.44  # Removed in clause preprocessing      : 0
% 300.18/100.44  # Initial clauses in saturation        : 6
% 300.18/100.44  # Processed clauses                    : 30
% 300.18/100.44  # ...of these trivial                  : 3
% 300.18/100.44  # ...subsumed                          : 3
% 300.18/100.44  # ...remaining for further processing  : 24
% 300.18/100.44  # Other redundant clauses eliminated   : 0
% 300.18/100.44  # Clauses deleted for lack of memory   : 0
% 300.18/100.44  # Backward-subsumed                    : 1
% 300.18/100.44  # Backward-rewritten                   : 4
% 300.18/100.44  # Generated clauses                    : 29
% 300.18/100.44  # ...of the previous two non-redundant : 21
% 300.18/100.44  # ...aggressively subsumed             : 0
% 300.18/100.44  # Contextual simplify-reflections      : 4
% 300.18/100.44  # Paramodulations                      : 23
% 300.18/100.44  # Factorizations                       : 6
% 300.18/100.44  # NegExts                              : 0
% 300.18/100.44  # Equation resolutions                 : 0
% 300.18/100.44  # Disequality decompositions           : 0
% 300.18/100.44  # Total rewrite steps                  : 10
% 300.18/100.44  # ...of those cached                   : 5
% 300.18/100.44  # Propositional unsat checks           : 0
% 300.18/100.44  #    Propositional check models        : 0
% 300.18/100.44  #    Propositional check unsatisfiable : 0
% 300.18/100.44  #    Propositional clauses             : 0
% 300.18/100.44  #    Propositional clauses after purity: 0
% 300.18/100.44  #    Propositional unsat core size     : 0
% 300.18/100.44  #    Propositional preprocessing time  : 0.000
% 300.18/100.44  #    Propositional encoding time       : 0.000
% 300.18/100.44  #    Propositional solver time         : 0.000
% 300.18/100.44  #    Success case prop preproc time    : 0.000
% 300.18/100.44  #    Success case prop encoding time   : 0.000
% 300.18/100.44  #    Success case prop solver time     : 0.000
% 300.18/100.44  # Current number of processed clauses  : 13
% 300.18/100.44  #    Positive orientable unit clauses  : 3
% 300.18/100.44  #    Positive unorientable unit clauses: 0
% 300.18/100.44  #    Negative unit clauses             : 1
% 300.18/100.44  #    Non-unit-clauses                  : 9
% 300.18/100.44  # Current number of unprocessed clauses: 1
% 300.18/100.44  # ...number of literals in the above   : 1
% 300.18/100.44  # Current number of archived formulas  : 0
% 300.18/100.44  # Current number of archived clauses   : 11
% 300.18/100.44  # Clause-clause subsumption calls (NU) : 26
% 300.18/100.44  # Rec. Clause-clause subsumption calls : 20
% 300.18/100.44  # Non-unit clause-clause subsumptions  : 7
% 300.18/100.44  # Unit Clause-clause subsumption calls : 8
% 300.18/100.44  # Rewrite failures with RHS unbound    : 0
% 300.18/100.44  # BW rewrite match attempts            : 9
% 300.18/100.44  # BW rewrite match successes           : 2
% 300.18/100.44  # Condensation attempts                : 0
% 300.18/100.44  # Condensation successes               : 0
% 300.18/100.44  # Termbank termtop insertions          : 972
% 300.18/100.44  # Search garbage collected termcells   : 221
% 300.18/100.44  
% 300.18/100.44  # -------------------------------------------------
% 300.18/100.44  # User time                : 0.003 s
% 300.18/100.44  # System time              : 0.002 s
% 300.18/100.44  # Total time               : 0.004 s
% 300.18/100.44  # Maximum resident set size: 1732 pages
% 300.18/100.44  
% 300.18/100.44  # -------------------------------------------------
% 300.18/100.44  # User time                : 0.005 s
% 300.18/100.44  # System time              : 0.003 s
% 300.18/100.44  # Total time               : 0.007 s
% 300.18/100.44  # Maximum resident set size: 1684 pages
% 300.18/100.44  % E---3.1 exiting
% 300.18/100.44  % E exiting
%------------------------------------------------------------------------------