TSTP Solution File: NUM603+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : NUM603+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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 : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 01:27:09 EDT 2024

% Result   : Theorem 0.60s 0.54s
% Output   : CNFRefutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   50 (   6 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :   49 (  18   ~;  15   |;  11   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(m__3754,hypothesis,
    ! [X1,X2] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X2,szNzAzT0) )
     => ( sdtlseqdt0(X2,X1)
       => aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).

fof(m__3623,hypothesis,
    ( aFunction0(xN)
    & szDzozmdt0(xN) = szNzAzT0
    & sdtlpdtrp0(xN,sz00) = xS
    & ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ( ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
            & isCountable0(sdtlpdtrp0(xN,X1)) )
         => ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
            & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).

fof(mZeroLess,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => sdtlseqdt0(sz00,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).

fof(mZeroNum,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).

fof(m__5034,hypothesis,
    ( aElementOf0(xi,szNzAzT0)
    & sdtlpdtrp0(xe,xi) = xx ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5034) ).

fof(c_0_6,negated_conjecture,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).

fof(c_0_7,hypothesis,
    ! [X185,X186] :
      ( ~ aElementOf0(X185,szNzAzT0)
      | ~ aElementOf0(X186,szNzAzT0)
      | ~ sdtlseqdt0(X186,X185)
      | aSubsetOf0(sdtlpdtrp0(xN,X185),sdtlpdtrp0(xN,X186)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3754])])]) ).

fof(c_0_8,hypothesis,
    ! [X183] :
      ( aFunction0(xN)
      & szDzozmdt0(xN) = szNzAzT0
      & sdtlpdtrp0(xN,sz00) = xS
      & ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X183)),sdtmndt0(sdtlpdtrp0(xN,X183),szmzizndt0(sdtlpdtrp0(xN,X183))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X183),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X183))
        | ~ aElementOf0(X183,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X183)))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X183),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X183))
        | ~ aElementOf0(X183,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3623])])])])]) ).

fof(c_0_9,plain,
    ! [X66] :
      ( ~ aElementOf0(X66,szNzAzT0)
      | sdtlseqdt0(sz00,X66) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])])]) ).

fof(c_0_10,negated_conjecture,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    inference(fof_nnf,[status(thm)],[c_0_6]) ).

cnf(c_0_11,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ sdtlseqdt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,hypothesis,
    sdtlpdtrp0(xN,sz00) = xS,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    aElementOf0(sz00,szNzAzT0),
    inference(split_conjunct,[status(thm)],[mZeroNum]) ).

cnf(c_0_14,plain,
    ( sdtlseqdt0(sz00,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,negated_conjecture,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),xS)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),c_0_14]) ).

cnf(c_0_17,hypothesis,
    aElementOf0(xi,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__5034]) ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM603+1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 04:28:23 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order model finding
% 0.20/0.47  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/benchmark/theBenchmark.p
% 0.60/0.54  # Version: 3.1.0
% 0.60/0.54  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.60/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.60/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.60/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.60/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.60/0.54  # Starting sh5l with 300s (1) cores
% 0.60/0.54  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 18417 completed with status 0
% 0.60/0.54  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.60/0.54  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.60/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.60/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.60/0.54  # No SInE strategy applied
% 0.60/0.54  # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.60/0.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.60/0.54  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.60/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.60/0.54  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.60/0.54  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.60/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with 136s (1) cores
% 0.60/0.54  # SAT001_MinMin_p005000_rr_RG with pid 18424 completed with status 0
% 0.60/0.54  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.60/0.54  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.60/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.60/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.60/0.54  # No SInE strategy applied
% 0.60/0.54  # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.60/0.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.60/0.54  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.60/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.60/0.54  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.60/0.54  # Preprocessing time       : 0.004 s
% 0.60/0.54  # Presaturation interreduction done
% 0.60/0.54  
% 0.60/0.54  # Proof found!
% 0.60/0.54  # SZS status Theorem
% 0.60/0.54  # SZS output start CNFRefutation
% See solution above
% 0.60/0.54  # Parsed axioms                        : 100
% 0.60/0.54  # Removed by relevancy pruning/SinE    : 0
% 0.60/0.54  # Initial clauses                      : 203
% 0.60/0.54  # Removed in clause preprocessing      : 7
% 0.60/0.54  # Initial clauses in saturation        : 196
% 0.60/0.54  # Processed clauses                    : 401
% 0.60/0.54  # ...of these trivial                  : 1
% 0.60/0.54  # ...subsumed                          : 12
% 0.60/0.54  # ...remaining for further processing  : 388
% 0.60/0.54  # Other redundant clauses eliminated   : 49
% 0.60/0.54  # Clauses deleted for lack of memory   : 0
% 0.60/0.54  # Backward-subsumed                    : 2
% 0.60/0.54  # Backward-rewritten                   : 3
% 0.60/0.54  # Generated clauses                    : 179
% 0.60/0.54  # ...of the previous two non-redundant : 141
% 0.60/0.54  # ...aggressively subsumed             : 0
% 0.60/0.54  # Contextual simplify-reflections      : 24
% 0.60/0.54  # Paramodulations                      : 134
% 0.60/0.54  # Factorizations                       : 0
% 0.60/0.54  # NegExts                              : 0
% 0.60/0.54  # Equation resolutions                 : 50
% 0.60/0.54  # Disequality decompositions           : 0
% 0.60/0.54  # Total rewrite steps                  : 130
% 0.60/0.54  # ...of those cached                   : 98
% 0.60/0.54  # Propositional unsat checks           : 0
% 0.60/0.54  #    Propositional check models        : 0
% 0.60/0.54  #    Propositional check unsatisfiable : 0
% 0.60/0.54  #    Propositional clauses             : 0
% 0.60/0.54  #    Propositional clauses after purity: 0
% 0.60/0.54  #    Propositional unsat core size     : 0
% 0.60/0.54  #    Propositional preprocessing time  : 0.000
% 0.60/0.54  #    Propositional encoding time       : 0.000
% 0.60/0.54  #    Propositional solver time         : 0.000
% 0.60/0.54  #    Success case prop preproc time    : 0.000
% 0.60/0.54  #    Success case prop encoding time   : 0.000
% 0.60/0.54  #    Success case prop solver time     : 0.000
% 0.60/0.54  # Current number of processed clauses  : 149
% 0.60/0.54  #    Positive orientable unit clauses  : 56
% 0.60/0.54  #    Positive unorientable unit clauses: 0
% 0.60/0.54  #    Negative unit clauses             : 11
% 0.60/0.54  #    Non-unit-clauses                  : 82
% 0.60/0.54  # Current number of unprocessed clauses: 127
% 0.60/0.54  # ...number of literals in the above   : 586
% 0.60/0.54  # Current number of archived formulas  : 0
% 0.60/0.54  # Current number of archived clauses   : 199
% 0.60/0.54  # Clause-clause subsumption calls (NU) : 10890
% 0.60/0.54  # Rec. Clause-clause subsumption calls : 3018
% 0.60/0.54  # Non-unit clause-clause subsumptions  : 29
% 0.60/0.54  # Unit Clause-clause subsumption calls : 285
% 0.60/0.54  # Rewrite failures with RHS unbound    : 0
% 0.60/0.54  # BW rewrite match attempts            : 3
% 0.60/0.54  # BW rewrite match successes           : 3
% 0.60/0.54  # Condensation attempts                : 0
% 0.60/0.54  # Condensation successes               : 0
% 0.60/0.54  # Termbank termtop insertions          : 20318
% 0.60/0.54  # Search garbage collected termcells   : 3730
% 0.60/0.54  
% 0.60/0.54  # -------------------------------------------------
% 0.60/0.54  # User time                : 0.040 s
% 0.60/0.54  # System time              : 0.005 s
% 0.60/0.54  # Total time               : 0.045 s
% 0.60/0.54  # Maximum resident set size: 2440 pages
% 0.60/0.54  
% 0.60/0.54  # -------------------------------------------------
% 0.60/0.54  # User time                : 0.188 s
% 0.60/0.54  # System time              : 0.016 s
% 0.60/0.54  # Total time               : 0.204 s
% 0.60/0.54  # Maximum resident set size: 1820 pages
% 0.60/0.54  % E---3.1 exiting
%------------------------------------------------------------------------------