TSTP Solution File: NUM602+3 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : NUM602+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n012.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 18:56:34 EDT 2023

% Result   : Theorem 56.71s 7.90s
% Output   : CNFRefutation 56.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   4 unt;   0 def)
%            Number of atoms       :   49 (  19 equ)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :   54 (  19   ~;  17   |;  17   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn;   4   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ? [X1] :
      ( aElementOf0(X1,szNzAzT0)
      & sdtlpdtrp0(xe,X1) = xx ),
    file('/export/starexec/sandbox/tmp/tmp.TsOA52pajA/E---3.1_31477.p',m__) ).

fof(m__4982,hypothesis,
    ! [X1] :
      ( ( ? [X2] :
            ( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
            & sdtlpdtrp0(xe,X2) = X1 )
        | aElementOf0(X1,xO) )
     => ? [X2] :
          ( aElementOf0(X2,szNzAzT0)
          & sdtlpdtrp0(xd,X2) = szDzizrdt0(xd)
          & aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xe,X2) = X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.TsOA52pajA/E---3.1_31477.p',m__4982) ).

fof(m__5009,hypothesis,
    ( ? [X1] :
        ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & sdtlpdtrp0(xe,X1) = xx )
    & aElementOf0(xx,xO) ),
    file('/export/starexec/sandbox/tmp/tmp.TsOA52pajA/E---3.1_31477.p',m__5009) ).

fof(c_0_3,negated_conjecture,
    ~ ? [X1] :
        ( aElementOf0(X1,szNzAzT0)
        & sdtlpdtrp0(xe,X1) = xx ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_4,hypothesis,
    ! [X58,X59] :
      ( ( aElementOf0(esk11_1(X58),szNzAzT0)
        | ~ aElementOf0(X59,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | sdtlpdtrp0(xe,X59) != X58 )
      & ( sdtlpdtrp0(xd,esk11_1(X58)) = szDzizrdt0(xd)
        | ~ aElementOf0(X59,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | sdtlpdtrp0(xe,X59) != X58 )
      & ( aElementOf0(esk11_1(X58),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | ~ aElementOf0(X59,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | sdtlpdtrp0(xe,X59) != X58 )
      & ( sdtlpdtrp0(xe,esk11_1(X58)) = X58
        | ~ aElementOf0(X59,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | sdtlpdtrp0(xe,X59) != X58 )
      & ( aElementOf0(esk11_1(X58),szNzAzT0)
        | ~ aElementOf0(X58,xO) )
      & ( sdtlpdtrp0(xd,esk11_1(X58)) = szDzizrdt0(xd)
        | ~ aElementOf0(X58,xO) )
      & ( aElementOf0(esk11_1(X58),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | ~ aElementOf0(X58,xO) )
      & ( sdtlpdtrp0(xe,esk11_1(X58)) = X58
        | ~ aElementOf0(X58,xO) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4982])])])])]) ).

fof(c_0_5,hypothesis,
    ( aElementOf0(esk1_0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & sdtlpdtrp0(xe,esk1_0) = xx
    & aElementOf0(xx,xO) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__5009])]) ).

fof(c_0_6,negated_conjecture,
    ! [X8] :
      ( ~ aElementOf0(X8,szNzAzT0)
      | sdtlpdtrp0(xe,X8) != xx ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).

cnf(c_0_7,hypothesis,
    ( sdtlpdtrp0(xe,esk11_1(X1)) = X1
    | ~ aElementOf0(X1,xO) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,hypothesis,
    aElementOf0(xx,xO),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,hypothesis,
    ( aElementOf0(esk11_1(X1),szNzAzT0)
    | ~ aElementOf0(X1,xO) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ aElementOf0(X1,szNzAzT0)
    | sdtlpdtrp0(xe,X1) != xx ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,hypothesis,
    sdtlpdtrp0(xe,esk11_1(xx)) = xx,
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,hypothesis,
    aElementOf0(esk11_1(xx),szNzAzT0),
    inference(spm,[status(thm)],[c_0_9,c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : NUM602+3 : TPTP v8.1.2. Released v4.0.0.
% 0.16/0.15  % Command    : run_E %s %d THM
% 0.16/0.37  % Computer : n012.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 2400
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon Oct  2 13:11:50 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.23/0.52  Running first-order theorem proving
% 0.23/0.52  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/tmp/tmp.TsOA52pajA/E---3.1_31477.p
% 56.71/7.90  # Version: 3.1pre001
% 56.71/7.90  # Preprocessing class: FSLSSMSMSSSNFFN.
% 56.71/7.90  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 56.71/7.90  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 56.71/7.90  # Starting new_bool_3 with 300s (1) cores
% 56.71/7.90  # Starting new_bool_1 with 300s (1) cores
% 56.71/7.90  # Starting sh5l with 300s (1) cores
% 56.71/7.90  # sh5l with pid 31634 completed with status 0
% 56.71/7.90  # Result found by sh5l
% 56.71/7.90  # Preprocessing class: FSLSSMSMSSSNFFN.
% 56.71/7.90  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 56.71/7.90  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 56.71/7.90  # Starting new_bool_3 with 300s (1) cores
% 56.71/7.90  # Starting new_bool_1 with 300s (1) cores
% 56.71/7.90  # Starting sh5l with 300s (1) cores
% 56.71/7.90  # SinE strategy is gf500_gu_R04_F100_L20000
% 56.71/7.90  # Search class: FGHSF-SMLM32-MFFFFFNN
% 56.71/7.90  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 56.71/7.90  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 163s (1) cores
% 56.71/7.90  # G-E--_208_C18_F1_SE_CS_SP_PS_S2o with pid 31670 completed with status 0
% 56.71/7.90  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2o
% 56.71/7.90  # Preprocessing class: FSLSSMSMSSSNFFN.
% 56.71/7.90  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 56.71/7.90  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 56.71/7.90  # Starting new_bool_3 with 300s (1) cores
% 56.71/7.90  # Starting new_bool_1 with 300s (1) cores
% 56.71/7.90  # Starting sh5l with 300s (1) cores
% 56.71/7.90  # SinE strategy is gf500_gu_R04_F100_L20000
% 56.71/7.90  # Search class: FGHSF-SMLM32-MFFFFFNN
% 56.71/7.90  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 56.71/7.90  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 163s (1) cores
% 56.71/7.90  # Preprocessing time       : 0.104 s
% 56.71/7.90  # Presaturation interreduction done
% 56.71/7.90  
% 56.71/7.90  # Proof found!
% 56.71/7.90  # SZS status Theorem
% 56.71/7.90  # SZS output start CNFRefutation
% See solution above
% 56.71/7.90  # Parsed axioms                        : 99
% 56.71/7.90  # Removed by relevancy pruning/SinE    : 2
% 56.71/7.90  # Initial clauses                      : 4869
% 56.71/7.90  # Removed in clause preprocessing      : 7
% 56.71/7.90  # Initial clauses in saturation        : 4862
% 56.71/7.90  # Processed clauses                    : 6866
% 56.71/7.90  # ...of these trivial                  : 3
% 56.71/7.90  # ...subsumed                          : 891
% 56.71/7.90  # ...remaining for further processing  : 5972
% 56.71/7.90  # Other redundant clauses eliminated   : 2035
% 56.71/7.90  # Clauses deleted for lack of memory   : 0
% 56.71/7.90  # Backward-subsumed                    : 17
% 56.71/7.90  # Backward-rewritten                   : 3
% 56.71/7.90  # Generated clauses                    : 2038
% 56.71/7.90  # ...of the previous two non-redundant : 2022
% 56.71/7.90  # ...aggressively subsumed             : 0
% 56.71/7.90  # Contextual simplify-reflections      : 70
% 56.71/7.90  # Paramodulations                      : 203
% 56.71/7.90  # Factorizations                       : 0
% 56.71/7.90  # NegExts                              : 0
% 56.71/7.90  # Equation resolutions                 : 2035
% 56.71/7.90  # Total rewrite steps                  : 88
% 56.71/7.90  # Propositional unsat checks           : 0
% 56.71/7.90  #    Propositional check models        : 0
% 56.71/7.90  #    Propositional check unsatisfiable : 0
% 56.71/7.90  #    Propositional clauses             : 0
% 56.71/7.90  #    Propositional clauses after purity: 0
% 56.71/7.90  #    Propositional unsat core size     : 0
% 56.71/7.90  #    Propositional preprocessing time  : 0.000
% 56.71/7.90  #    Propositional encoding time       : 0.000
% 56.71/7.90  #    Propositional solver time         : 0.000
% 56.71/7.90  #    Success case prop preproc time    : 0.000
% 56.71/7.90  #    Success case prop encoding time   : 0.000
% 56.71/7.90  #    Success case prop solver time     : 0.000
% 56.71/7.90  # Current number of processed clauses  : 157
% 56.71/7.90  #    Positive orientable unit clauses  : 86
% 56.71/7.90  #    Positive unorientable unit clauses: 0
% 56.71/7.90  #    Negative unit clauses             : 19
% 56.71/7.90  #    Non-unit-clauses                  : 52
% 56.71/7.90  # Current number of unprocessed clauses: 3978
% 56.71/7.90  # ...number of literals in the above   : 44202
% 56.71/7.90  # Current number of archived formulas  : 0
% 56.71/7.90  # Current number of archived clauses   : 3980
% 56.71/7.90  # Clause-clause subsumption calls (NU) : 10348261
% 56.71/7.90  # Rec. Clause-clause subsumption calls : 73779
% 56.71/7.90  # Non-unit clause-clause subsumptions  : 971
% 56.71/7.90  # Unit Clause-clause subsumption calls : 820
% 56.71/7.90  # Rewrite failures with RHS unbound    : 0
% 56.71/7.90  # BW rewrite match attempts            : 3
% 56.71/7.90  # BW rewrite match successes           : 3
% 56.71/7.90  # Condensation attempts                : 0
% 56.71/7.90  # Condensation successes               : 0
% 56.71/7.90  # Termbank termtop insertions          : 663413
% 56.71/7.90  
% 56.71/7.90  # -------------------------------------------------
% 56.71/7.90  # User time                : 6.980 s
% 56.71/7.90  # System time              : 0.032 s
% 56.71/7.90  # Total time               : 7.012 s
% 56.71/7.90  # Maximum resident set size: 14296 pages
% 56.71/7.90  
% 56.71/7.90  # -------------------------------------------------
% 56.71/7.90  # User time                : 6.985 s
% 56.71/7.90  # System time              : 0.037 s
% 56.71/7.90  # Total time               : 7.022 s
% 56.71/7.90  # Maximum resident set size: 1848 pages
% 56.71/7.90  % E---3.1 exiting
% 56.71/7.90  % E---3.1 exiting
%------------------------------------------------------------------------------