TSTP Solution File: NUM625+3 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : NUM625+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 : Sat May  4 08:55:47 EDT 2024

% Result   : ContradictoryAxioms 0.41s 1.04s
% Output   : CNFRefutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   5 unt;   0 def)
%            Number of atoms       :   25 (   9 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   20 (   5   ~;   1   |;  13   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :    2 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__5348,hypothesis,
    ( aElement0(xx)
    & aElementOf0(xx,xQ)
    & xx != szmzizndt0(xQ)
    & aElementOf0(xx,xP) ),
    file('/export/starexec/sandbox2/tmp/tmp.fLbtv7DzBI/E---3.1_7980.p',m__5348) ).

fof(m__5147,hypothesis,
    ( aElementOf0(xp,xQ)
    & ! [X1] :
        ( aElementOf0(X1,xQ)
       => sdtlseqdt0(xp,X1) )
    & xp = szmzizndt0(xQ) ),
    file('/export/starexec/sandbox2/tmp/tmp.fLbtv7DzBI/E---3.1_7980.p',m__5147) ).

fof(m__5496,hypothesis,
    xp = xx,
    file('/export/starexec/sandbox2/tmp/tmp.fLbtv7DzBI/E---3.1_7980.p',m__5496) ).

fof(c_0_3,hypothesis,
    ( aElement0(xx)
    & aElementOf0(xx,xQ)
    & xx != szmzizndt0(xQ)
    & aElementOf0(xx,xP) ),
    inference(fof_simplification,[status(thm)],[m__5348]) ).

fof(c_0_4,hypothesis,
    ! [X261] :
      ( aElementOf0(xp,xQ)
      & ( ~ aElementOf0(X261,xQ)
        | sdtlseqdt0(xp,X261) )
      & xp = szmzizndt0(xQ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5147])])])]) ).

fof(c_0_5,hypothesis,
    ( aElement0(xx)
    & aElementOf0(xx,xQ)
    & xx != szmzizndt0(xQ)
    & aElementOf0(xx,xP) ),
    inference(fof_nnf,[status(thm)],[c_0_3]) ).

cnf(c_0_6,hypothesis,
    xp = szmzizndt0(xQ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,hypothesis,
    xp = xx,
    inference(split_conjunct,[status(thm)],[m__5496]) ).

cnf(c_0_8,hypothesis,
    xx != szmzizndt0(xQ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14  % Problem    : NUM625+3 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.16  % Command    : run_E %s %d THM
% 0.17/0.37  % Computer : n029.cluster.edu
% 0.17/0.37  % Model    : x86_64 x86_64
% 0.17/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37  % Memory   : 8042.1875MB
% 0.17/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37  % CPULimit   : 300
% 0.17/0.37  % WCLimit    : 300
% 0.17/0.37  % DateTime   : Fri May  3 09:46:52 EDT 2024
% 0.17/0.37  % CPUTime    : 
% 0.23/0.56  Running first-order theorem proving
% 0.23/0.56  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.fLbtv7DzBI/E---3.1_7980.p
% 0.41/1.04  # Version: 3.1.0
% 0.41/1.04  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.41/1.04  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/1.04  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.41/1.04  # Starting new_bool_3 with 300s (1) cores
% 0.41/1.04  # Starting new_bool_1 with 300s (1) cores
% 0.41/1.04  # Starting sh5l with 300s (1) cores
% 0.41/1.04  # sh5l with pid 8101 completed with status 8
% 0.41/1.04  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 8098 completed with status 0
% 0.41/1.04  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.41/1.04  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.41/1.04  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/1.04  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.41/1.04  # No SInE strategy applied
% 0.41/1.04  # Search class: FGHSF-SMLM32-MFFFFFNN
% 0.41/1.04  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.41/1.04  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 811s (1) cores
% 0.41/1.04  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.41/1.04  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 0.41/1.04  # Starting new_bool_3 with 136s (1) cores
% 0.41/1.04  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.41/1.04  # G-E--_208_C18_F1_SE_CS_SP_PS_S2o with pid 8118 completed with status 0
% 0.41/1.04  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2o
% 0.41/1.04  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.41/1.04  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/1.04  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.41/1.04  # No SInE strategy applied
% 0.41/1.04  # Search class: FGHSF-SMLM32-MFFFFFNN
% 0.41/1.04  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.41/1.04  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 811s (1) cores
% 0.41/1.04  # Preprocessing time       : 0.152 s
% 0.41/1.04  # Presaturation interreduction done
% 0.41/1.04  
% 0.41/1.04  # Proof found!
% 0.41/1.04  # SZS status ContradictoryAxioms
% 0.41/1.04  # SZS output start CNFRefutation
% See solution above
% 0.41/1.04  # Parsed axioms                        : 121
% 0.41/1.04  # Removed by relevancy pruning/SinE    : 0
% 0.41/1.04  # Initial clauses                      : 4935
% 0.41/1.04  # Removed in clause preprocessing      : 8
% 0.41/1.04  # Initial clauses in saturation        : 4927
% 0.41/1.04  # Processed clauses                    : 6
% 0.41/1.04  # ...of these trivial                  : 0
% 0.41/1.04  # ...subsumed                          : 1
% 0.41/1.04  # ...remaining for further processing  : 4
% 0.41/1.04  # Other redundant clauses eliminated   : 0
% 0.41/1.04  # Clauses deleted for lack of memory   : 0
% 0.41/1.04  # Backward-subsumed                    : 0
% 0.41/1.04  # Backward-rewritten                   : 0
% 0.41/1.04  # Generated clauses                    : 0
% 0.41/1.04  # ...of the previous two non-redundant : 0
% 0.41/1.04  # ...aggressively subsumed             : 0
% 0.41/1.04  # Contextual simplify-reflections      : 0
% 0.41/1.04  # Paramodulations                      : 0
% 0.41/1.04  # Factorizations                       : 0
% 0.41/1.04  # NegExts                              : 0
% 0.41/1.04  # Equation resolutions                 : 0
% 0.41/1.04  # Disequality decompositions           : 0
% 0.41/1.04  # Total rewrite steps                  : 1
% 0.41/1.04  # ...of those cached                   : 0
% 0.41/1.04  # Propositional unsat checks           : 0
% 0.41/1.04  #    Propositional check models        : 0
% 0.41/1.04  #    Propositional check unsatisfiable : 0
% 0.41/1.04  #    Propositional clauses             : 0
% 0.41/1.04  #    Propositional clauses after purity: 0
% 0.41/1.04  #    Propositional unsat core size     : 0
% 0.41/1.04  #    Propositional preprocessing time  : 0.000
% 0.41/1.04  #    Propositional encoding time       : 0.000
% 0.41/1.04  #    Propositional solver time         : 0.000
% 0.41/1.04  #    Success case prop preproc time    : 0.000
% 0.41/1.04  #    Success case prop encoding time   : 0.000
% 0.41/1.04  #    Success case prop solver time     : 0.000
% 0.41/1.04  # Current number of processed clauses  : 4
% 0.41/1.04  #    Positive orientable unit clauses  : 1
% 0.41/1.04  #    Positive unorientable unit clauses: 0
% 0.41/1.04  #    Negative unit clauses             : 3
% 0.41/1.04  #    Non-unit-clauses                  : 0
% 0.41/1.04  # Current number of unprocessed clauses: 4921
% 0.41/1.04  # ...number of literals in the above   : 56041
% 0.41/1.04  # Current number of archived formulas  : 0
% 0.41/1.04  # Current number of archived clauses   : 0
% 0.41/1.04  # Clause-clause subsumption calls (NU) : 0
% 0.41/1.04  # Rec. Clause-clause subsumption calls : 0
% 0.41/1.04  # Non-unit clause-clause subsumptions  : 0
% 0.41/1.04  # Unit Clause-clause subsumption calls : 0
% 0.41/1.04  # Rewrite failures with RHS unbound    : 0
% 0.41/1.04  # BW rewrite match attempts            : 0
% 0.41/1.04  # BW rewrite match successes           : 0
% 0.41/1.04  # Condensation attempts                : 0
% 0.41/1.04  # Condensation successes               : 0
% 0.41/1.04  # Termbank termtop insertions          : 381974
% 0.41/1.04  # Search garbage collected termcells   : 32087
% 0.41/1.04  
% 0.41/1.04  # -------------------------------------------------
% 0.41/1.04  # User time                : 0.434 s
% 0.41/1.04  # System time              : 0.026 s
% 0.41/1.04  # Total time               : 0.460 s
% 0.41/1.04  # Maximum resident set size: 14376 pages
% 0.41/1.04  
% 0.41/1.04  # -------------------------------------------------
% 0.41/1.04  # User time                : 1.060 s
% 0.41/1.04  # System time              : 0.095 s
% 0.41/1.04  # Total time               : 1.155 s
% 0.41/1.04  # Maximum resident set size: 1892 pages
% 0.41/1.04  % E---3.1 exiting
% 0.41/1.05  % E exiting
%------------------------------------------------------------------------------