TSTP Solution File: NUM618+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : NUM618+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n016.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 01:27:15 EDT 2024

% Result   : Theorem 0.23s 0.54s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   3 unt;   0 def)
%            Number of atoms       :   27 (   7 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   26 (  11   ~;   7   |;   7   &)
%                                         (   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    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn   3   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ? [X1] :
      ( aElementOf0(X1,szNzAzT0)
      & xx = sdtlpdtrp0(xe,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(m__4982,hypothesis,
    ! [X1] :
      ( aElementOf0(X1,xO)
     => ? [X2] :
          ( aElementOf0(X2,szNzAzT0)
          & aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xe,X2) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4982) ).

fof(m__5365,hypothesis,
    ( aElementOf0(xx,szNzAzT0)
    & aElementOf0(xx,xO) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5365) ).

fof(c_0_3,negated_conjecture,
    ~ ? [X1] :
        ( aElementOf0(X1,szNzAzT0)
        & xx = sdtlpdtrp0(xe,X1) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_4,negated_conjecture,
    ! [X209] :
      ( ~ aElementOf0(X209,szNzAzT0)
      | xx != sdtlpdtrp0(xe,X209) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

fof(c_0_5,hypothesis,
    ! [X207] :
      ( ( aElementOf0(esk25_1(X207),szNzAzT0)
        | ~ aElementOf0(X207,xO) )
      & ( aElementOf0(esk25_1(X207),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | ~ aElementOf0(X207,xO) )
      & ( sdtlpdtrp0(xe,esk25_1(X207)) = X207
        | ~ aElementOf0(X207,xO) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4982])])])])]) ).

cnf(c_0_6,negated_conjecture,
    ( ~ aElementOf0(X1,szNzAzT0)
    | xx != sdtlpdtrp0(xe,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,hypothesis,
    ( sdtlpdtrp0(xe,esk25_1(X1)) = X1
    | ~ aElementOf0(X1,xO) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,hypothesis,
    aElementOf0(xx,xO),
    inference(split_conjunct,[status(thm)],[m__5365]) ).

cnf(c_0_9,negated_conjecture,
    ~ aElementOf0(esk25_1(xx),szNzAzT0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7])]),c_0_8])]) ).

cnf(c_0_10,hypothesis,
    ( aElementOf0(esk25_1(X1),szNzAzT0)
    | ~ aElementOf0(X1,xO) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM618+1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.38  % Computer : n016.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8042.1875MB
% 0.14/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38  % CPULimit   : 300
% 0.14/0.38  % WCLimit    : 300
% 0.14/0.38  % DateTime   : Mon May 20 05:38:38 EDT 2024
% 0.14/0.38  % CPUTime    : 
% 0.23/0.48  Running first-order model finding
% 0.23/0.48  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
% 0.23/0.54  # Version: 3.1.0
% 0.23/0.54  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.23/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.23/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.54  # Starting sh5l with 300s (1) cores
% 0.23/0.54  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 27615 completed with status 0
% 0.23/0.54  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.23/0.54  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.23/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.23/0.54  # No SInE strategy applied
% 0.23/0.54  # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.23/0.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.54  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.23/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.23/0.54  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.23/0.54  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.23/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with 136s (1) cores
% 0.23/0.54  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 27622 completed with status 0
% 0.23/0.54  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.23/0.54  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.23/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.23/0.54  # No SInE strategy applied
% 0.23/0.54  # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.23/0.54  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.54  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.23/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.23/0.54  # Preprocessing time       : 0.004 s
% 0.23/0.54  # Presaturation interreduction done
% 0.23/0.54  
% 0.23/0.54  # Proof found!
% 0.23/0.54  # SZS status Theorem
% 0.23/0.54  # SZS output start CNFRefutation
% See solution above
% 0.23/0.54  # Parsed axioms                        : 115
% 0.23/0.54  # Removed by relevancy pruning/SinE    : 0
% 0.23/0.54  # Initial clauses                      : 222
% 0.23/0.54  # Removed in clause preprocessing      : 7
% 0.23/0.54  # Initial clauses in saturation        : 215
% 0.23/0.54  # Processed clauses                    : 376
% 0.23/0.54  # ...of these trivial                  : 4
% 0.23/0.54  # ...subsumed                          : 4
% 0.23/0.54  # ...remaining for further processing  : 368
% 0.23/0.54  # Other redundant clauses eliminated   : 47
% 0.23/0.54  # Clauses deleted for lack of memory   : 0
% 0.23/0.54  # Backward-subsumed                    : 1
% 0.23/0.54  # Backward-rewritten                   : 2
% 0.23/0.54  # Generated clauses                    : 120
% 0.23/0.54  # ...of the previous two non-redundant : 93
% 0.23/0.54  # ...aggressively subsumed             : 0
% 0.23/0.54  # Contextual simplify-reflections      : 16
% 0.23/0.54  # Paramodulations                      : 78
% 0.23/0.54  # Factorizations                       : 0
% 0.23/0.54  # NegExts                              : 0
% 0.23/0.54  # Equation resolutions                 : 47
% 0.23/0.54  # Disequality decompositions           : 0
% 0.23/0.54  # Total rewrite steps                  : 102
% 0.23/0.54  # ...of those cached                   : 72
% 0.23/0.54  # Propositional unsat checks           : 0
% 0.23/0.54  #    Propositional check models        : 0
% 0.23/0.54  #    Propositional check unsatisfiable : 0
% 0.23/0.54  #    Propositional clauses             : 0
% 0.23/0.54  #    Propositional clauses after purity: 0
% 0.23/0.54  #    Propositional unsat core size     : 0
% 0.23/0.54  #    Propositional preprocessing time  : 0.000
% 0.23/0.54  #    Propositional encoding time       : 0.000
% 0.23/0.54  #    Propositional solver time         : 0.000
% 0.23/0.54  #    Success case prop preproc time    : 0.000
% 0.23/0.54  #    Success case prop encoding time   : 0.000
% 0.23/0.54  #    Success case prop solver time     : 0.000
% 0.23/0.54  # Current number of processed clauses  : 112
% 0.23/0.54  #    Positive orientable unit clauses  : 62
% 0.23/0.54  #    Positive unorientable unit clauses: 0
% 0.23/0.54  #    Negative unit clauses             : 12
% 0.23/0.54  #    Non-unit-clauses                  : 38
% 0.23/0.54  # Current number of unprocessed clauses: 141
% 0.23/0.54  # ...number of literals in the above   : 573
% 0.23/0.54  # Current number of archived formulas  : 0
% 0.23/0.54  # Current number of archived clauses   : 216
% 0.23/0.54  # Clause-clause subsumption calls (NU) : 7622
% 0.23/0.54  # Rec. Clause-clause subsumption calls : 1706
% 0.23/0.54  # Non-unit clause-clause subsumptions  : 16
% 0.23/0.54  # Unit Clause-clause subsumption calls : 264
% 0.23/0.54  # Rewrite failures with RHS unbound    : 0
% 0.23/0.54  # BW rewrite match attempts            : 2
% 0.23/0.54  # BW rewrite match successes           : 2
% 0.23/0.54  # Condensation attempts                : 0
% 0.23/0.54  # Condensation successes               : 0
% 0.23/0.54  # Termbank termtop insertions          : 19454
% 0.23/0.54  # Search garbage collected termcells   : 3750
% 0.23/0.54  
% 0.23/0.54  # -------------------------------------------------
% 0.23/0.54  # User time                : 0.035 s
% 0.23/0.54  # System time              : 0.006 s
% 0.23/0.54  # Total time               : 0.040 s
% 0.23/0.54  # Maximum resident set size: 2464 pages
% 0.23/0.54  
% 0.23/0.54  # -------------------------------------------------
% 0.23/0.54  # User time                : 0.137 s
% 0.23/0.54  # System time              : 0.020 s
% 0.23/0.54  # Total time               : 0.157 s
% 0.23/0.54  # Maximum resident set size: 1832 pages
% 0.23/0.54  % E---3.1 exiting
%------------------------------------------------------------------------------