TSTP Solution File: NUM568+3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : NUM568+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 19:07:45 EDT 2023

% Result   : Theorem 30.63s 4.45s
% Output   : CNFRefutation 30.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   31 (  15 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.HoUxzhsQ9l/E---3.1_23309.p',m__) ).

fof(mNatExtra,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ( X1 = sz00
        | ? [X2] :
            ( aElementOf0(X2,szNzAzT0)
            & X1 = szszuzczcdt0(X2) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.HoUxzhsQ9l/E---3.1_23309.p',mNatExtra) ).

fof(m__3418,hypothesis,
    aElementOf0(xK,szNzAzT0),
    file('/export/starexec/sandbox2/tmp/tmp.HoUxzhsQ9l/E---3.1_23309.p',m__3418) ).

fof(m__3462,hypothesis,
    xK != sz00,
    file('/export/starexec/sandbox2/tmp/tmp.HoUxzhsQ9l/E---3.1_23309.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,plain,
    ! [X30] :
      ( ( aElementOf0(esk10_1(X30),szNzAzT0)
        | X30 = sz00
        | ~ aElementOf0(X30,szNzAzT0) )
      & ( X30 = szszuzczcdt0(esk10_1(X30))
        | X30 = sz00
        | ~ aElementOf0(X30,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtra])])])]) ).

fof(c_0_6,negated_conjecture,
    ! [X8] :
      ( ~ aElementOf0(X8,szNzAzT0)
      | szszuzczcdt0(X8) != xK ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).

cnf(c_0_7,plain,
    ( X1 = szszuzczcdt0(esk10_1(X1))
    | X1 = sz00
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,hypothesis,
    aElementOf0(xK,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__3418]) ).

cnf(c_0_9,hypothesis,
    xK != sz00,
    inference(split_conjunct,[status(thm)],[m__3462]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ aElementOf0(X1,szNzAzT0)
    | szszuzczcdt0(X1) != xK ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,hypothesis,
    szszuzczcdt0(esk10_1(xK)) = xK,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).

cnf(c_0_12,plain,
    ( aElementOf0(esk10_1(X1),szNzAzT0)
    | X1 = sz00
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_13,negated_conjecture,
    ~ aElementOf0(esk10_1(xK),szNzAzT0),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_8]),c_0_9]),c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : NUM568+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n004.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Oct  2 14:30:00 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order model finding
% 0.17/0.44  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.HoUxzhsQ9l/E---3.1_23309.p
% 30.63/4.45  # Version: 3.1pre001
% 30.63/4.45  # Preprocessing class: FSLSSMSSSSSNFFN.
% 30.63/4.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 30.63/4.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 30.63/4.45  # Starting new_bool_3 with 300s (1) cores
% 30.63/4.45  # Starting new_bool_1 with 300s (1) cores
% 30.63/4.45  # Starting sh5l with 300s (1) cores
% 30.63/4.45  # sh5l with pid 23403 completed with status 0
% 30.63/4.45  # Result found by sh5l
% 30.63/4.45  # Preprocessing class: FSLSSMSSSSSNFFN.
% 30.63/4.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 30.63/4.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 30.63/4.45  # Starting new_bool_3 with 300s (1) cores
% 30.63/4.45  # Starting new_bool_1 with 300s (1) cores
% 30.63/4.45  # Starting sh5l with 300s (1) cores
% 30.63/4.45  # SinE strategy is gf500_gu_R04_F100_L20000
% 30.63/4.45  # Search class: FGHSF-SMLM32-MFFFFFNN
% 30.63/4.45  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 30.63/4.45  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 163s (1) cores
% 30.63/4.45  # G-E--_208_C18_F1_SE_CS_SP_PS_S2o with pid 23405 completed with status 0
% 30.63/4.45  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2o
% 30.63/4.45  # Preprocessing class: FSLSSMSSSSSNFFN.
% 30.63/4.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 30.63/4.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 30.63/4.45  # Starting new_bool_3 with 300s (1) cores
% 30.63/4.45  # Starting new_bool_1 with 300s (1) cores
% 30.63/4.45  # Starting sh5l with 300s (1) cores
% 30.63/4.45  # SinE strategy is gf500_gu_R04_F100_L20000
% 30.63/4.45  # Search class: FGHSF-SMLM32-MFFFFFNN
% 30.63/4.45  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 30.63/4.45  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 163s (1) cores
% 30.63/4.45  # Preprocessing time       : 0.149 s
% 30.63/4.45  # Presaturation interreduction done
% 30.63/4.45  
% 30.63/4.45  # Proof found!
% 30.63/4.45  # SZS status Theorem
% 30.63/4.45  # SZS output start CNFRefutation
% See solution above
% 30.63/4.45  # Parsed axioms                        : 80
% 30.63/4.45  # Removed by relevancy pruning/SinE    : 2
% 30.63/4.45  # Initial clauses                      : 4129
% 30.63/4.45  # Removed in clause preprocessing      : 7
% 30.63/4.45  # Initial clauses in saturation        : 4122
% 30.63/4.45  # Processed clauses                    : 5990
% 30.63/4.45  # ...of these trivial                  : 0
% 30.63/4.45  # ...subsumed                          : 576
% 30.63/4.45  # ...remaining for further processing  : 5414
% 30.63/4.45  # Other redundant clauses eliminated   : 1929
% 30.63/4.45  # Clauses deleted for lack of memory   : 0
% 30.63/4.45  # Backward-subsumed                    : 0
% 30.63/4.45  # Backward-rewritten                   : 2
% 30.63/4.45  # Generated clauses                    : 2098
% 30.63/4.45  # ...of the previous two non-redundant : 2067
% 30.63/4.45  # ...aggressively subsumed             : 0
% 30.63/4.45  # Contextual simplify-reflections      : 13
% 30.63/4.45  # Paramodulations                      : 362
% 30.63/4.45  # Factorizations                       : 0
% 30.63/4.45  # NegExts                              : 0
% 30.63/4.45  # Equation resolutions                 : 1930
% 30.63/4.45  # Total rewrite steps                  : 56
% 30.63/4.45  # Propositional unsat checks           : 0
% 30.63/4.45  #    Propositional check models        : 0
% 30.63/4.45  #    Propositional check unsatisfiable : 0
% 30.63/4.45  #    Propositional clauses             : 0
% 30.63/4.45  #    Propositional clauses after purity: 0
% 30.63/4.45  #    Propositional unsat core size     : 0
% 30.63/4.45  #    Propositional preprocessing time  : 0.000
% 30.63/4.45  #    Propositional encoding time       : 0.000
% 30.63/4.45  #    Propositional solver time         : 0.000
% 30.63/4.45  #    Success case prop preproc time    : 0.000
% 30.63/4.45  #    Success case prop encoding time   : 0.000
% 30.63/4.45  #    Success case prop solver time     : 0.000
% 30.63/4.45  # Current number of processed clauses  : 123
% 30.63/4.45  #    Positive orientable unit clauses  : 60
% 30.63/4.45  #    Positive unorientable unit clauses: 0
% 30.63/4.45  #    Negative unit clauses             : 18
% 30.63/4.45  #    Non-unit-clauses                  : 45
% 30.63/4.45  # Current number of unprocessed clauses: 3752
% 30.63/4.45  # ...number of literals in the above   : 41986
% 30.63/4.45  # Current number of archived formulas  : 0
% 30.63/4.45  # Current number of archived clauses   : 3556
% 30.63/4.45  # Clause-clause subsumption calls (NU) : 3743107
% 30.63/4.45  # Rec. Clause-clause subsumption calls : 67342
% 30.63/4.45  # Non-unit clause-clause subsumptions  : 581
% 30.63/4.45  # Unit Clause-clause subsumption calls : 505
% 30.63/4.45  # Rewrite failures with RHS unbound    : 0
% 30.63/4.45  # BW rewrite match attempts            : 176
% 30.63/4.45  # BW rewrite match successes           : 2
% 30.63/4.45  # Condensation attempts                : 0
% 30.63/4.45  # Condensation successes               : 0
% 30.63/4.45  # Termbank termtop insertions          : 600619
% 30.63/4.45  
% 30.63/4.45  # -------------------------------------------------
% 30.63/4.45  # User time                : 3.921 s
% 30.63/4.45  # System time              : 0.029 s
% 30.63/4.45  # Total time               : 3.950 s
% 30.63/4.45  # Maximum resident set size: 13148 pages
% 30.63/4.45  
% 30.63/4.45  # -------------------------------------------------
% 30.63/4.45  # User time                : 3.924 s
% 30.63/4.45  # System time              : 0.032 s
% 30.63/4.45  # Total time               : 3.956 s
% 30.63/4.45  # Maximum resident set size: 1788 pages
% 30.63/4.45  % E---3.1 exiting
%------------------------------------------------------------------------------