TSTP Solution File: NUM561+2 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : NUM561+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 18:56:22 EDT 2023

% Result   : Theorem 0.16s 0.46s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   3 unt;   0 def)
%            Number of atoms       :   14 (   4 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   13 (   6   ~;   4   |;   3   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn;   1   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( ? [X1] :
        ( aElementOf0(X1,szDzozmdt0(xF))
        & sdtlpdtrp0(xF,X1) = sdtlpdtrp0(xF,xx) )
    | aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))) ),
    file('/export/starexec/sandbox/tmp/tmp.wvNgq2G5YA/E---3.1_21505.p',m__) ).

fof(m__2911_02,hypothesis,
    aElementOf0(xx,szDzozmdt0(xF)),
    file('/export/starexec/sandbox/tmp/tmp.wvNgq2G5YA/E---3.1_21505.p',m__2911_02) ).

fof(c_0_2,negated_conjecture,
    ~ ( ? [X1] :
          ( aElementOf0(X1,szDzozmdt0(xF))
          & sdtlpdtrp0(xF,X1) = sdtlpdtrp0(xF,xx) )
      | aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_3,negated_conjecture,
    ! [X6] :
      ( ( ~ aElementOf0(X6,szDzozmdt0(xF))
        | sdtlpdtrp0(xF,X6) != sdtlpdtrp0(xF,xx) )
      & ~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

cnf(c_0_4,negated_conjecture,
    ( ~ aElementOf0(X1,szDzozmdt0(xF))
    | sdtlpdtrp0(xF,X1) != sdtlpdtrp0(xF,xx) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,hypothesis,
    aElementOf0(xx,szDzozmdt0(xF)),
    inference(split_conjunct,[status(thm)],[m__2911_02]) ).

cnf(c_0_6,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_4]),c_0_5])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : NUM561+2 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.14  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n002.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 2400
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Mon Oct  2 14:38:29 EDT 2023
% 0.11/0.33  % CPUTime    : 
% 0.16/0.44  Running first-order theorem proving
% 0.16/0.44  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.wvNgq2G5YA/E---3.1_21505.p
% 0.16/0.46  # Version: 3.1pre001
% 0.16/0.46  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.46  # Starting sh5l with 300s (1) cores
% 0.16/0.46  # new_bool_3 with pid 21586 completed with status 0
% 0.16/0.46  # Result found by new_bool_3
% 0.16/0.46  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.46  # Search class: FGHSF-FFMF32-SFFFFFNN
% 0.16/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.16/0.46  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 21589 completed with status 0
% 0.16/0.46  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.46  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.46  # Search class: FGHSF-FFMF32-SFFFFFNN
% 0.16/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.16/0.46  # Preprocessing time       : 0.001 s
% 0.16/0.46  # Presaturation interreduction done
% 0.16/0.46  
% 0.16/0.46  # Proof found!
% 0.16/0.46  # SZS status Theorem
% 0.16/0.46  # SZS output start CNFRefutation
% See solution above
% 0.16/0.46  # Parsed axioms                        : 71
% 0.16/0.46  # Removed by relevancy pruning/SinE    : 55
% 0.16/0.46  # Initial clauses                      : 26
% 0.16/0.46  # Removed in clause preprocessing      : 4
% 0.16/0.46  # Initial clauses in saturation        : 22
% 0.16/0.46  # Processed clauses                    : 34
% 0.16/0.46  # ...of these trivial                  : 0
% 0.16/0.46  # ...subsumed                          : 0
% 0.16/0.46  # ...remaining for further processing  : 34
% 0.16/0.46  # Other redundant clauses eliminated   : 5
% 0.16/0.46  # Clauses deleted for lack of memory   : 0
% 0.16/0.46  # Backward-subsumed                    : 0
% 0.16/0.46  # Backward-rewritten                   : 0
% 0.16/0.46  # Generated clauses                    : 8
% 0.16/0.46  # ...of the previous two non-redundant : 6
% 0.16/0.46  # ...aggressively subsumed             : 0
% 0.16/0.46  # Contextual simplify-reflections      : 3
% 0.16/0.46  # Paramodulations                      : 3
% 0.16/0.46  # Factorizations                       : 0
% 0.16/0.46  # NegExts                              : 0
% 0.16/0.46  # Equation resolutions                 : 6
% 0.16/0.46  # Total rewrite steps                  : 1
% 0.16/0.46  # Propositional unsat checks           : 0
% 0.16/0.46  #    Propositional check models        : 0
% 0.16/0.46  #    Propositional check unsatisfiable : 0
% 0.16/0.46  #    Propositional clauses             : 0
% 0.16/0.46  #    Propositional clauses after purity: 0
% 0.16/0.46  #    Propositional unsat core size     : 0
% 0.16/0.46  #    Propositional preprocessing time  : 0.000
% 0.16/0.46  #    Propositional encoding time       : 0.000
% 0.16/0.46  #    Propositional solver time         : 0.000
% 0.16/0.46  #    Success case prop preproc time    : 0.000
% 0.16/0.46  #    Success case prop encoding time   : 0.000
% 0.16/0.46  #    Success case prop solver time     : 0.000
% 0.16/0.46  # Current number of processed clauses  : 8
% 0.16/0.46  #    Positive orientable unit clauses  : 2
% 0.16/0.46  #    Positive unorientable unit clauses: 0
% 0.16/0.46  #    Negative unit clauses             : 1
% 0.16/0.46  #    Non-unit-clauses                  : 5
% 0.16/0.46  # Current number of unprocessed clauses: 16
% 0.16/0.46  # ...number of literals in the above   : 64
% 0.16/0.46  # Current number of archived formulas  : 0
% 0.16/0.46  # Current number of archived clauses   : 22
% 0.16/0.46  # Clause-clause subsumption calls (NU) : 76
% 0.16/0.46  # Rec. Clause-clause subsumption calls : 24
% 0.16/0.46  # Non-unit clause-clause subsumptions  : 3
% 0.16/0.46  # Unit Clause-clause subsumption calls : 0
% 0.16/0.46  # Rewrite failures with RHS unbound    : 0
% 0.16/0.46  # BW rewrite match attempts            : 0
% 0.16/0.46  # BW rewrite match successes           : 0
% 0.16/0.46  # Condensation attempts                : 0
% 0.16/0.46  # Condensation successes               : 0
% 0.16/0.46  # Termbank termtop insertions          : 2756
% 0.16/0.46  
% 0.16/0.46  # -------------------------------------------------
% 0.16/0.46  # User time                : 0.004 s
% 0.16/0.46  # System time              : 0.003 s
% 0.16/0.46  # Total time               : 0.007 s
% 0.16/0.46  # Maximum resident set size: 1880 pages
% 0.16/0.46  
% 0.16/0.46  # -------------------------------------------------
% 0.16/0.46  # User time                : 0.006 s
% 0.16/0.46  # System time              : 0.004 s
% 0.16/0.46  # Total time               : 0.011 s
% 0.16/0.46  # Maximum resident set size: 1760 pages
% 0.16/0.46  % E---3.1 exiting
% 0.16/0.47  % E---3.1 exiting
%------------------------------------------------------------------------------