TSTP Solution File: NUM604+3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : NUM604+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n001.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 19:07:55 EDT 2023

% Result   : Theorem 29.62s 4.33s
% Output   : CNFRefutation 29.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   7 unt;   0 def)
%            Number of atoms       :   35 (   6 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :   30 (   9   ~;   7   |;  11   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn;   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__4660,hypothesis,
    ( aFunction0(xe)
    & szDzozmdt0(xe) = szNzAzT0
    & ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
          & ! [X2] :
              ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
             => sdtlseqdt0(sdtlpdtrp0(xe,X1),X2) )
          & sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.sJaL8VqA0d/E---3.1_2088.p',m__4660) ).

fof(m__5045,hypothesis,
    ( ! [X1] :
        ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
       => aElementOf0(X1,xS) )
    & aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
    file('/export/starexec/sandbox2/tmp/tmp.sJaL8VqA0d/E---3.1_2088.p',m__5045) ).

fof(m__5034,hypothesis,
    ( aElementOf0(xi,szNzAzT0)
    & sdtlpdtrp0(xe,xi) = xx ),
    file('/export/starexec/sandbox2/tmp/tmp.sJaL8VqA0d/E---3.1_2088.p',m__5034) ).

fof(m__,conjecture,
    aElementOf0(xx,xS),
    file('/export/starexec/sandbox2/tmp/tmp.sJaL8VqA0d/E---3.1_2088.p',m__) ).

fof(c_0_4,hypothesis,
    ! [X65,X66] :
      ( aFunction0(xe)
      & szDzozmdt0(xe) = szNzAzT0
      & ( aElementOf0(sdtlpdtrp0(xe,X65),sdtlpdtrp0(xN,X65))
        | ~ aElementOf0(X65,szNzAzT0) )
      & ( ~ aElementOf0(X66,sdtlpdtrp0(xN,X65))
        | sdtlseqdt0(sdtlpdtrp0(xe,X65),X66)
        | ~ aElementOf0(X65,szNzAzT0) )
      & ( sdtlpdtrp0(xe,X65) = szmzizndt0(sdtlpdtrp0(xN,X65))
        | ~ aElementOf0(X65,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4660])])])]) ).

fof(c_0_5,hypothesis,
    ! [X85] :
      ( ( ~ aElementOf0(X85,sdtlpdtrp0(xN,xi))
        | aElementOf0(X85,xS) )
      & aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5045])])]) ).

cnf(c_0_6,hypothesis,
    ( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,hypothesis,
    aElementOf0(xi,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__5034]) ).

cnf(c_0_8,hypothesis,
    sdtlpdtrp0(xe,xi) = xx,
    inference(split_conjunct,[status(thm)],[m__5034]) ).

fof(c_0_9,negated_conjecture,
    ~ aElementOf0(xx,xS),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).

cnf(c_0_10,hypothesis,
    ( aElementOf0(X1,xS)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,hypothesis,
    aElementOf0(xx,sdtlpdtrp0(xN,xi)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    ~ aElementOf0(xx,xS),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM604+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n001.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Oct  2 14:51:21 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order model finding
% 0.20/0.49  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.sJaL8VqA0d/E---3.1_2088.p
% 29.62/4.33  # Version: 3.1pre001
% 29.62/4.33  # Preprocessing class: FSLSSMSMSSSNFFN.
% 29.62/4.33  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 29.62/4.33  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 29.62/4.33  # Starting new_bool_3 with 300s (1) cores
% 29.62/4.33  # Starting new_bool_1 with 300s (1) cores
% 29.62/4.33  # Starting sh5l with 300s (1) cores
% 29.62/4.33  # new_bool_1 with pid 2234 completed with status 0
% 29.62/4.33  # Result found by new_bool_1
% 29.62/4.33  # Preprocessing class: FSLSSMSMSSSNFFN.
% 29.62/4.33  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 29.62/4.33  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 29.62/4.33  # Starting new_bool_3 with 300s (1) cores
% 29.62/4.33  # Starting new_bool_1 with 300s (1) cores
% 29.62/4.33  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 29.62/4.33  # Search class: FGHSF-SMLM32-MFFFFFNN
% 29.62/4.33  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 29.62/4.33  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 163s (1) cores
% 29.62/4.33  # G-E--_208_C18_F1_SE_CS_SP_PS_S2o with pid 2313 completed with status 0
% 29.62/4.33  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2o
% 29.62/4.33  # Preprocessing class: FSLSSMSMSSSNFFN.
% 29.62/4.33  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 29.62/4.33  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 29.62/4.33  # Starting new_bool_3 with 300s (1) cores
% 29.62/4.33  # Starting new_bool_1 with 300s (1) cores
% 29.62/4.33  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 29.62/4.33  # Search class: FGHSF-SMLM32-MFFFFFNN
% 29.62/4.33  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 29.62/4.33  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 163s (1) cores
% 29.62/4.33  # Preprocessing time       : 0.107 s
% 29.62/4.33  # Presaturation interreduction done
% 29.62/4.33  
% 29.62/4.33  # Proof found!
% 29.62/4.33  # SZS status Theorem
% 29.62/4.33  # SZS output start CNFRefutation
% See solution above
% 29.62/4.33  # Parsed axioms                        : 101
% 29.62/4.33  # Removed by relevancy pruning/SinE    : 2
% 29.62/4.33  # Initial clauses                      : 4873
% 29.62/4.33  # Removed in clause preprocessing      : 7
% 29.62/4.33  # Initial clauses in saturation        : 4866
% 29.62/4.33  # Processed clauses                    : 7229
% 29.62/4.33  # ...of these trivial                  : 5
% 29.62/4.33  # ...subsumed                          : 953
% 29.62/4.33  # ...remaining for further processing  : 6271
% 29.62/4.33  # Other redundant clauses eliminated   : 2035
% 29.62/4.33  # Clauses deleted for lack of memory   : 0
% 29.62/4.33  # Backward-subsumed                    : 17
% 29.62/4.33  # Backward-rewritten                   : 28
% 29.62/4.33  # Generated clauses                    : 2901
% 29.62/4.33  # ...of the previous two non-redundant : 2871
% 29.62/4.33  # ...aggressively subsumed             : 0
% 29.62/4.33  # Contextual simplify-reflections      : 77
% 29.62/4.33  # Paramodulations                      : 1065
% 29.62/4.33  # Factorizations                       : 0
% 29.62/4.33  # NegExts                              : 0
% 29.62/4.33  # Equation resolutions                 : 2036
% 29.62/4.33  # Total rewrite steps                  : 468
% 29.62/4.33  # Propositional unsat checks           : 0
% 29.62/4.33  #    Propositional check models        : 0
% 29.62/4.33  #    Propositional check unsatisfiable : 0
% 29.62/4.33  #    Propositional clauses             : 0
% 29.62/4.33  #    Propositional clauses after purity: 0
% 29.62/4.33  #    Propositional unsat core size     : 0
% 29.62/4.33  #    Propositional preprocessing time  : 0.000
% 29.62/4.33  #    Propositional encoding time       : 0.000
% 29.62/4.33  #    Propositional solver time         : 0.000
% 29.62/4.33  #    Success case prop preproc time    : 0.000
% 29.62/4.33  #    Success case prop encoding time   : 0.000
% 29.62/4.33  #    Success case prop solver time     : 0.000
% 29.62/4.33  # Current number of processed clauses  : 427
% 29.62/4.33  #    Positive orientable unit clauses  : 186
% 29.62/4.33  #    Positive unorientable unit clauses: 0
% 29.62/4.33  #    Negative unit clauses             : 31
% 29.62/4.33  #    Non-unit-clauses                  : 210
% 29.62/4.33  # Current number of unprocessed clauses: 4454
% 29.62/4.33  # ...number of literals in the above   : 45479
% 29.62/4.33  # Current number of archived formulas  : 0
% 29.62/4.33  # Current number of archived clauses   : 4009
% 29.62/4.33  # Clause-clause subsumption calls (NU) : 6994338
% 29.62/4.33  # Rec. Clause-clause subsumption calls : 75613
% 29.62/4.33  # Non-unit clause-clause subsumptions  : 1020
% 29.62/4.33  # Unit Clause-clause subsumption calls : 3502
% 29.62/4.33  # Rewrite failures with RHS unbound    : 0
% 29.62/4.33  # BW rewrite match attempts            : 21
% 29.62/4.33  # BW rewrite match successes           : 9
% 29.62/4.33  # Condensation attempts                : 0
% 29.62/4.33  # Condensation successes               : 0
% 29.62/4.33  # Termbank termtop insertions          : 673915
% 29.62/4.33  
% 29.62/4.33  # -------------------------------------------------
% 29.62/4.33  # User time                : 3.739 s
% 29.62/4.33  # System time              : 0.031 s
% 29.62/4.33  # Total time               : 3.770 s
% 29.62/4.33  # Maximum resident set size: 14120 pages
% 29.62/4.33  
% 29.62/4.33  # -------------------------------------------------
% 29.62/4.33  # User time                : 3.745 s
% 29.62/4.33  # System time              : 0.033 s
% 29.62/4.33  # Total time               : 3.779 s
% 29.62/4.33  # Maximum resident set size: 1856 pages
% 29.62/4.33  % E---3.1 exiting
%------------------------------------------------------------------------------