TSTP Solution File: NUM568+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : NUM568+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n013.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 18:56:23 EDT 2023

% Result   : Theorem 0.16s 0.47s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :   30 (  14 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   28 (  12   ~;  11   |;   4   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   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;   3 con; 0-1 aty)
%            Number of variables   :    9 (   0 sgn;   3   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ? [X1] :
      ( aElementOf0(X1,szNzAzT0)
      & szszuzczcdt0(X1) = xK ),
    file('/export/starexec/sandbox2/tmp/tmp.Be4jM4Vdpp/E---3.1_17739.p',m__) ).

fof(mNatExtra,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ( X1 = sz00
        | ? [X2] :
            ( aElementOf0(X2,szNzAzT0)
            & X1 = szszuzczcdt0(X2) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Be4jM4Vdpp/E---3.1_17739.p',mNatExtra) ).

fof(m__3418,hypothesis,
    aElementOf0(xK,szNzAzT0),
    file('/export/starexec/sandbox2/tmp/tmp.Be4jM4Vdpp/E---3.1_17739.p',m__3418) ).

fof(m__3462,hypothesis,
    xK != sz00,
    file('/export/starexec/sandbox2/tmp/tmp.Be4jM4Vdpp/E---3.1_17739.p',m__3462) ).

fof(c_0_4,negated_conjecture,
    ~ ? [X1] :
        ( aElementOf0(X1,szNzAzT0)
        & szszuzczcdt0(X1) = xK ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_5,negated_conjecture,
    ! [X13] :
      ( ~ aElementOf0(X13,szNzAzT0)
      | szszuzczcdt0(X13) != xK ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).

fof(c_0_6,plain,
    ! [X71] :
      ( ( aElementOf0(esk11_1(X71),szNzAzT0)
        | X71 = sz00
        | ~ aElementOf0(X71,szNzAzT0) )
      & ( X71 = szszuzczcdt0(esk11_1(X71))
        | X71 = sz00
        | ~ aElementOf0(X71,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtra])])])]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ aElementOf0(X1,szNzAzT0)
    | szszuzczcdt0(X1) != xK ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( X1 = szszuzczcdt0(esk11_1(X1))
    | X1 = sz00
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,hypothesis,
    aElementOf0(xK,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__3418]) ).

cnf(c_0_10,hypothesis,
    xK != sz00,
    inference(split_conjunct,[status(thm)],[m__3462]) ).

cnf(c_0_11,negated_conjecture,
    ~ aElementOf0(esk11_1(xK),szNzAzT0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8])]),c_0_9])]),c_0_10]) ).

cnf(c_0_12,plain,
    ( aElementOf0(esk11_1(X1),szNzAzT0)
    | X1 = sz00
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_9])]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem    : NUM568+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.13  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n013.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 13:55:29 EDT 2023
% 0.11/0.33  % CPUTime    : 
% 0.16/0.44  Running first-order theorem proving
% 0.16/0.44  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.Be4jM4Vdpp/E---3.1_17739.p
% 0.16/0.47  # Version: 3.1pre001
% 0.16/0.47  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.47  # Starting sh5l with 300s (1) cores
% 0.16/0.47  # new_bool_3 with pid 17820 completed with status 0
% 0.16/0.47  # Result found by new_bool_3
% 0.16/0.47  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.47  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.47  # Search class: FGHSF-FSLM32-MFFFFFNN
% 0.16/0.47  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 163s (1) cores
% 0.16/0.47  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 17827 completed with status 0
% 0.16/0.47  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.16/0.47  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.47  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.47  # Search class: FGHSF-FSLM32-MFFFFFNN
% 0.16/0.47  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 163s (1) cores
% 0.16/0.47  # Preprocessing time       : 0.003 s
% 0.16/0.47  # Presaturation interreduction done
% 0.16/0.47  
% 0.16/0.47  # Proof found!
% 0.16/0.47  # SZS status Theorem
% 0.16/0.47  # SZS output start CNFRefutation
% See solution above
% 0.16/0.47  # Parsed axioms                        : 80
% 0.16/0.47  # Removed by relevancy pruning/SinE    : 7
% 0.16/0.47  # Initial clauses                      : 135
% 0.16/0.47  # Removed in clause preprocessing      : 7
% 0.16/0.47  # Initial clauses in saturation        : 128
% 0.16/0.47  # Processed clauses                    : 222
% 0.16/0.47  # ...of these trivial                  : 0
% 0.16/0.47  # ...subsumed                          : 4
% 0.16/0.47  # ...remaining for further processing  : 218
% 0.16/0.47  # Other redundant clauses eliminated   : 35
% 0.16/0.47  # Clauses deleted for lack of memory   : 0
% 0.16/0.47  # Backward-subsumed                    : 0
% 0.16/0.47  # Backward-rewritten                   : 1
% 0.16/0.47  # Generated clauses                    : 69
% 0.16/0.47  # ...of the previous two non-redundant : 53
% 0.16/0.47  # ...aggressively subsumed             : 0
% 0.16/0.47  # Contextual simplify-reflections      : 12
% 0.16/0.47  # Paramodulations                      : 37
% 0.16/0.47  # Factorizations                       : 0
% 0.16/0.47  # NegExts                              : 0
% 0.16/0.47  # Equation resolutions                 : 36
% 0.16/0.47  # Total rewrite steps                  : 33
% 0.16/0.47  # Propositional unsat checks           : 0
% 0.16/0.47  #    Propositional check models        : 0
% 0.16/0.47  #    Propositional check unsatisfiable : 0
% 0.16/0.47  #    Propositional clauses             : 0
% 0.16/0.47  #    Propositional clauses after purity: 0
% 0.16/0.47  #    Propositional unsat core size     : 0
% 0.16/0.47  #    Propositional preprocessing time  : 0.000
% 0.16/0.47  #    Propositional encoding time       : 0.000
% 0.16/0.47  #    Propositional solver time         : 0.000
% 0.16/0.47  #    Success case prop preproc time    : 0.000
% 0.16/0.47  #    Success case prop encoding time   : 0.000
% 0.16/0.47  #    Success case prop solver time     : 0.000
% 0.16/0.47  # Current number of processed clauses  : 63
% 0.16/0.47  #    Positive orientable unit clauses  : 21
% 0.16/0.47  #    Positive unorientable unit clauses: 0
% 0.16/0.47  #    Negative unit clauses             : 6
% 0.16/0.47  #    Non-unit-clauses                  : 36
% 0.16/0.47  # Current number of unprocessed clauses: 86
% 0.16/0.47  # ...number of literals in the above   : 400
% 0.16/0.47  # Current number of archived formulas  : 0
% 0.16/0.47  # Current number of archived clauses   : 128
% 0.16/0.47  # Clause-clause subsumption calls (NU) : 4726
% 0.16/0.47  # Rec. Clause-clause subsumption calls : 1106
% 0.16/0.47  # Non-unit clause-clause subsumptions  : 13
% 0.16/0.47  # Unit Clause-clause subsumption calls : 33
% 0.16/0.47  # Rewrite failures with RHS unbound    : 0
% 0.16/0.47  # BW rewrite match attempts            : 1
% 0.16/0.47  # BW rewrite match successes           : 1
% 0.16/0.47  # Condensation attempts                : 0
% 0.16/0.47  # Condensation successes               : 0
% 0.16/0.47  # Termbank termtop insertions          : 11480
% 0.16/0.47  
% 0.16/0.47  # -------------------------------------------------
% 0.16/0.47  # User time                : 0.021 s
% 0.16/0.47  # System time              : 0.003 s
% 0.16/0.47  # Total time               : 0.023 s
% 0.16/0.47  # Maximum resident set size: 2260 pages
% 0.16/0.47  
% 0.16/0.47  # -------------------------------------------------
% 0.16/0.47  # User time                : 0.022 s
% 0.16/0.47  # System time              : 0.005 s
% 0.16/0.47  # Total time               : 0.027 s
% 0.16/0.47  # Maximum resident set size: 1776 pages
% 0.16/0.47  % E---3.1 exiting
% 0.16/0.47  % E---3.1 exiting
%------------------------------------------------------------------------------