TSTP Solution File: NUM464+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : NUM464+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n006.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 19:07:15 EDT 2023

% Result   : Timeout 408.18s 300.15s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (   7 unt;   0 def)
%            Number of atoms       :   40 (  16 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   38 (  16   ~;  13   |;   5   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    6 (   0 sgn;   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( xm != sz00
   => sdtlseqdt0(sz10,xm) ),
    file('/export/starexec/sandbox/tmp/tmp.zJZYKFlq7K/E---3.1_9122.p',m__) ).

fof(mLENTr,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => ( X1 = sz00
        | X1 = sz10
        | ( sz10 != X1
          & sdtlseqdt0(sz10,X1) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.zJZYKFlq7K/E---3.1_9122.p',mLENTr) ).

fof(m__987,hypothesis,
    ( aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox/tmp/tmp.zJZYKFlq7K/E---3.1_9122.p',m__987) ).

fof(mLERefl,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => sdtlseqdt0(X1,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.zJZYKFlq7K/E---3.1_9122.p',mLERefl) ).

fof(mSortsC_01,axiom,
    ( aNaturalNumber0(sz10)
    & sz10 != sz00 ),
    file('/export/starexec/sandbox/tmp/tmp.zJZYKFlq7K/E---3.1_9122.p',mSortsC_01) ).

fof(c_0_5,negated_conjecture,
    ~ ( xm != sz00
     => sdtlseqdt0(sz10,xm) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_6,negated_conjecture,
    ( xm != sz00
    & ~ sdtlseqdt0(sz10,xm) ),
    inference(fof_nnf,[status(thm)],[c_0_5]) ).

fof(c_0_7,plain,
    ! [X23] :
      ( ( sz10 != X23
        | X23 = sz00
        | X23 = sz10
        | ~ aNaturalNumber0(X23) )
      & ( sdtlseqdt0(sz10,X23)
        | X23 = sz00
        | X23 = sz10
        | ~ aNaturalNumber0(X23) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLENTr])])]) ).

cnf(c_0_8,negated_conjecture,
    ~ sdtlseqdt0(sz10,xm),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    ( sdtlseqdt0(sz10,X1)
    | X1 = sz00
    | X1 = sz10
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,hypothesis,
    aNaturalNumber0(xm),
    inference(split_conjunct,[status(thm)],[m__987]) ).

cnf(c_0_11,negated_conjecture,
    xm != sz00,
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    xm = sz10,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]),c_0_11]) ).

fof(c_0_13,plain,
    ! [X8] :
      ( ~ aNaturalNumber0(X8)
      | sdtlseqdt0(X8,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERefl])]) ).

cnf(c_0_14,negated_conjecture,
    ~ sdtlseqdt0(sz10,sz10),
    inference(rw,[status(thm)],[c_0_8,c_0_12]) ).

cnf(c_0_15,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_16,plain,
    aNaturalNumber0(sz10),
    inference(split_conjunct,[status(thm)],[mSortsC_01]) ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : NUM464+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.11  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n006.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Oct  2 13:24:25 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.14/0.41  Running first-order model finding
% 0.14/0.41  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.zJZYKFlq7K/E---3.1_9122.p
% 408.18/300.15  # Version: 3.1pre001
% 408.18/300.15  # Preprocessing class: FSMSSMSSSSSNFFN.
% 408.18/300.15  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.18/300.15  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 408.18/300.15  # Starting new_bool_3 with 300s (1) cores
% 408.18/300.15  # Starting new_bool_1 with 300s (1) cores
% 408.18/300.15  # Starting sh5l with 300s (1) cores
% 408.18/300.15  # new_bool_3 with pid 9200 completed with status 0
% 408.18/300.15  # Result found by new_bool_3
% 408.18/300.15  # Preprocessing class: FSMSSMSSSSSNFFN.
% 408.18/300.15  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.18/300.15  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 408.18/300.15  # Starting new_bool_3 with 300s (1) cores
% 408.18/300.15  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 408.18/300.15  # Search class: FGUSF-FFMS22-SFFFFFNN
% 408.18/300.15  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 408.18/300.15  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 408.18/300.15  # SAT001_MinMin_p005000_rr_RG with pid 9204 completed with status 0
% 408.18/300.15  # Result found by SAT001_MinMin_p005000_rr_RG
% 408.18/300.15  # Preprocessing class: FSMSSMSSSSSNFFN.
% 408.18/300.15  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.18/300.15  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 408.18/300.15  # Starting new_bool_3 with 300s (1) cores
% 408.18/300.15  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 408.18/300.15  # Search class: FGUSF-FFMS22-SFFFFFNN
% 408.18/300.15  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 408.18/300.15  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 408.18/300.15  # Preprocessing time       : 0.001 s
% 408.18/300.15  # Presaturation interreduction done
% 408.18/300.15  
% 408.18/300.15  # Proof found!
% 408.18/300.15  # SZS status Theorem
% 408.18/300.15  # SZS output start CNFRefutation
% See solution above
% 408.18/300.15  # Parsed axioms                        : 28
% 408.18/300.15  # Removed by relevancy pruning/SinE    : 1
% 408.18/300.15  # Initial clauses                      : 47
% 408.18/300.15  # Removed in clause preprocessing      : 2
% 408.18/300.15  # Initial clauses in saturation        : 45
% 408.18/300.15  # Processed clauses                    : 63
% 408.18/300.15  # ...of these trivial                  : 0
% 408.18/300.15  # ...subsumed                          : 6
% 408.18/300.15  # ...remaining for further processing  : 57
% 408.18/300.15  # Other redundant clauses eliminated   : 2
% 408.18/300.15  # Clauses deleted for lack of memory   : 0
% 408.18/300.15  # Backward-subsumed                    : 0
% 408.18/300.15  # Backward-rewritten                   : 3
% 408.18/300.15  # Generated clauses                    : 4
% 408.18/300.15  # ...of the previous two non-redundant : 5
% 408.18/300.15  # ...aggressively subsumed             : 0
% 408.18/300.15  # Contextual simplify-reflections      : 1
% 408.18/300.15  # Paramodulations                      : 2
% 408.18/300.15  # Factorizations                       : 0
% 408.18/300.15  # NegExts                              : 0
% 408.18/300.15  # Equation resolutions                 : 2
% 408.18/300.15  # Total rewrite steps                  : 6
% 408.18/300.15  # Propositional unsat checks           : 0
% 408.18/300.15  #    Propositional check models        : 0
% 408.18/300.15  #    Propositional check unsatisfiable : 0
% 408.18/300.15  #    Propositional clauses             : 0
% 408.18/300.15  #    Propositional clauses after purity: 0
% 408.18/300.15  #    Propositional unsat core size     : 0
% 408.18/300.15  #    Propositional preprocessing time  : 0.000
% 408.18/300.15  #    Propositional encoding time       : 0.000
% 408.18/300.15  #    Propositional solver time         : 0.000
% 408.18/300.15  #    Success case prop preproc time    : 0.000
% 408.18/300.15  #    Success case prop encoding time   : 0.000
% 408.18/300.15  #    Success case prop solver time     : 0.000
% 408.18/300.15  # Current number of processed clauses  : 12
% 408.18/300.15  #    Positive orientable unit clauses  : 4
% 408.18/300.15  #    Positive unorientable unit clauses: 0
% 408.18/300.15  #    Negative unit clauses             : 2
% 408.18/300.15  #    Non-unit-clauses                  : 6
% 408.18/300.15  # Current number of unprocessed clauses: 27
% 408.18/300.15  # ...number of literals in the above   : 119
% 408.18/300.15  # Current number of archived formulas  : 0
% 408.18/300.15  # Current number of archived clauses   : 43
% 408.18/300.15  # Clause-clause subsumption calls (NU) : 215
% 408.18/300.15  # Rec. Clause-clause subsumption calls : 82
% 408.18/300.15  # Non-unit clause-clause subsumptions  : 6
% 408.18/300.15  # Unit Clause-clause subsumption calls : 3
% 408.18/300.15  # Rewrite failures with RHS unbound    : 0
% 408.18/300.15  # BW rewrite match attempts            : 1
% 408.18/300.15  # BW rewrite match successes           : 1
% 408.18/300.15  # Condensation attempts                : 0
% 408.18/300.15  # Condensation successes               : 0
% 408.18/300.15  # Termbank termtop insertions          : 3166
% 408.18/300.15  
% 408.18/300.15  # -------------------------------------------------
% 408.18/300.15  # User time                : 0.006 s
% 408.18/300.15  # System time              : 0.002 s
% 408.18/300.15  # Total time               : 0.008 s
% 408.18/300.15  # Maximum resident set size: 1904 pages
% 408.18/300.15  
% 408.18/300.15  # -------------------------------------------------
% 408.18/300.15  # User time                : 0.008 s
% 408.18/300.15  # System time              : 0.004 s
% 408.18/300.15  # Total time               : 0.012 s
% 408.18/300.15  # Maximum resident set size: 1704 pages
% 408.18/300.15  % E---3.1 exiting
%------------------------------------------------------------------------------