TSTP Solution File: NUM531+2 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : NUM531+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n025.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 18:56:13 EDT 2023

% Result   : Timeout 408.10s 300.16s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
%            Number of atoms       :   32 (   4 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   31 (  14   ~;   4   |;   9   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    9 (   0 sgn;   6   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ! [X1] :
      ( ( aSet0(X1)
        & isCountable0(X1) )
     => ~ ( ~ ? [X2] : aElementOf0(X2,X1)
          & X1 = slcrc0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.f7K2uIN1dH/E---3.1_23538.p',m__) ).

fof(mCountNFin,axiom,
    ! [X1] :
      ( ( aSet0(X1)
        & isCountable0(X1) )
     => ~ isFinite0(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.f7K2uIN1dH/E---3.1_23538.p',mCountNFin) ).

fof(mEmpFin,axiom,
    isFinite0(slcrc0),
    file('/export/starexec/sandbox/tmp/tmp.f7K2uIN1dH/E---3.1_23538.p',mEmpFin) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1] :
        ( ( aSet0(X1)
          & isCountable0(X1) )
       => ~ ( ~ ? [X2] : aElementOf0(X2,X1)
            & X1 = slcrc0 ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_4,plain,
    ! [X1] :
      ( ( aSet0(X1)
        & isCountable0(X1) )
     => ~ isFinite0(X1) ),
    inference(fof_simplification,[status(thm)],[mCountNFin]) ).

fof(c_0_5,negated_conjecture,
    ! [X4] :
      ( aSet0(esk1_0)
      & isCountable0(esk1_0)
      & ~ aElementOf0(X4,esk1_0)
      & esk1_0 = slcrc0 ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).

fof(c_0_6,plain,
    ! [X11] :
      ( ~ aSet0(X11)
      | ~ isCountable0(X11)
      | ~ isFinite0(X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).

cnf(c_0_7,negated_conjecture,
    isCountable0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    esk1_0 = slcrc0,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    aSet0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,plain,
    ( ~ aSet0(X1)
    | ~ isCountable0(X1)
    | ~ isFinite0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,negated_conjecture,
    isCountable0(slcrc0),
    inference(rw,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,plain,
    isFinite0(slcrc0),
    inference(split_conjunct,[status(thm)],[mEmpFin]) ).

cnf(c_0_13,negated_conjecture,
    aSet0(slcrc0),
    inference(rw,[status(thm)],[c_0_9,c_0_8]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : NUM531+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11  % Command    : run_E %s %d THM
% 0.10/0.32  % Computer : n025.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 2400
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Mon Oct  2 14:42:21 EDT 2023
% 0.10/0.32  % CPUTime    : 
% 0.16/0.43  Running first-order theorem proving
% 0.16/0.43  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.f7K2uIN1dH/E---3.1_23538.p
% 408.10/300.16  # Version: 3.1pre001
% 408.10/300.16  # Preprocessing class: FSMSSMSSSSSNFFN.
% 408.10/300.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.10/300.16  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 408.10/300.16  # Starting new_bool_3 with 300s (1) cores
% 408.10/300.16  # Starting new_bool_1 with 300s (1) cores
% 408.10/300.16  # Starting sh5l with 300s (1) cores
% 408.10/300.16  # new_bool_3 with pid 23617 completed with status 0
% 408.10/300.16  # Result found by new_bool_3
% 408.10/300.16  # Preprocessing class: FSMSSMSSSSSNFFN.
% 408.10/300.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.10/300.16  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 408.10/300.16  # Starting new_bool_3 with 300s (1) cores
% 408.10/300.16  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 408.10/300.16  # Search class: FGHSF-FFSS11-SFFFFFNN
% 408.10/300.16  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 408.10/300.16  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 408.10/300.16  # SAT001_MinMin_p005000_rr_RG with pid 23622 completed with status 0
% 408.10/300.16  # Result found by SAT001_MinMin_p005000_rr_RG
% 408.10/300.16  # Preprocessing class: FSMSSMSSSSSNFFN.
% 408.10/300.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.10/300.16  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 408.10/300.16  # Starting new_bool_3 with 300s (1) cores
% 408.10/300.16  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 408.10/300.16  # Search class: FGHSF-FFSS11-SFFFFFNN
% 408.10/300.16  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 408.10/300.16  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 408.10/300.16  # Preprocessing time       : 0.001 s
% 408.10/300.16  # Presaturation interreduction done
% 408.10/300.16  
% 408.10/300.16  # Proof found!
% 408.10/300.16  # SZS status Theorem
% 408.10/300.16  # SZS output start CNFRefutation
% See solution above
% 408.10/300.16  # Parsed axioms                        : 9
% 408.10/300.16  # Removed by relevancy pruning/SinE    : 0
% 408.10/300.16  # Initial clauses                      : 14
% 408.10/300.16  # Removed in clause preprocessing      : 4
% 408.10/300.16  # Initial clauses in saturation        : 10
% 408.10/300.16  # Processed clauses                    : 19
% 408.10/300.16  # ...of these trivial                  : 0
% 408.10/300.16  # ...subsumed                          : 1
% 408.10/300.16  # ...remaining for further processing  : 18
% 408.10/300.16  # Other redundant clauses eliminated   : 2
% 408.10/300.16  # Clauses deleted for lack of memory   : 0
% 408.10/300.16  # Backward-subsumed                    : 0
% 408.10/300.16  # Backward-rewritten                   : 0
% 408.10/300.16  # Generated clauses                    : 4
% 408.10/300.16  # ...of the previous two non-redundant : 2
% 408.10/300.16  # ...aggressively subsumed             : 0
% 408.10/300.16  # Contextual simplify-reflections      : 0
% 408.10/300.16  # Paramodulations                      : 2
% 408.10/300.16  # Factorizations                       : 0
% 408.10/300.16  # NegExts                              : 0
% 408.10/300.16  # Equation resolutions                 : 2
% 408.10/300.16  # Total rewrite steps                  : 6
% 408.10/300.16  # Propositional unsat checks           : 0
% 408.10/300.16  #    Propositional check models        : 0
% 408.10/300.16  #    Propositional check unsatisfiable : 0
% 408.10/300.16  #    Propositional clauses             : 0
% 408.10/300.16  #    Propositional clauses after purity: 0
% 408.10/300.16  #    Propositional unsat core size     : 0
% 408.10/300.16  #    Propositional preprocessing time  : 0.000
% 408.10/300.16  #    Propositional encoding time       : 0.000
% 408.10/300.16  #    Propositional solver time         : 0.000
% 408.10/300.16  #    Success case prop preproc time    : 0.000
% 408.10/300.16  #    Success case prop encoding time   : 0.000
% 408.10/300.16  #    Success case prop solver time     : 0.000
% 408.10/300.16  # Current number of processed clauses  : 8
% 408.10/300.16  #    Positive orientable unit clauses  : 4
% 408.10/300.16  #    Positive unorientable unit clauses: 0
% 408.10/300.16  #    Negative unit clauses             : 1
% 408.10/300.16  #    Non-unit-clauses                  : 3
% 408.10/300.16  # Current number of unprocessed clauses: 1
% 408.10/300.16  # ...number of literals in the above   : 3
% 408.10/300.16  # Current number of archived formulas  : 0
% 408.10/300.16  # Current number of archived clauses   : 8
% 408.10/300.16  # Clause-clause subsumption calls (NU) : 0
% 408.10/300.16  # Rec. Clause-clause subsumption calls : 0
% 408.10/300.16  # Non-unit clause-clause subsumptions  : 0
% 408.10/300.16  # Unit Clause-clause subsumption calls : 0
% 408.10/300.16  # Rewrite failures with RHS unbound    : 0
% 408.10/300.16  # BW rewrite match attempts            : 0
% 408.10/300.16  # BW rewrite match successes           : 0
% 408.10/300.16  # Condensation attempts                : 0
% 408.10/300.16  # Condensation successes               : 0
% 408.10/300.16  # Termbank termtop insertions          : 542
% 408.10/300.16  
% 408.10/300.16  # -------------------------------------------------
% 408.10/300.16  # User time                : 0.002 s
% 408.10/300.16  # System time              : 0.002 s
% 408.10/300.16  # Total time               : 0.005 s
% 408.10/300.16  # Maximum resident set size: 1748 pages
% 408.10/300.16  
% 408.10/300.16  # -------------------------------------------------
% 408.10/300.16  # User time                : 0.005 s
% 408.10/300.16  # System time              : 0.003 s
% 408.10/300.16  # Total time               : 0.007 s
% 408.10/300.16  # Maximum resident set size: 1672 pages
% 408.10/300.16  % E---3.1 exiting
% 408.10/300.17  % E---3.1 exiting
%------------------------------------------------------------------------------