TSTP Solution File: NUM625+3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : NUM625+3 : 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 19:08:02 EDT 2023

% Result   : ContradictoryAxioms 0.92s 0.80s
% Output   : CNFRefutation 0.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   5 unt;   0 def)
%            Number of atoms       :   17 (   7 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   12 (   3   ~;   1   |;   7   &)
%                                         (   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__5147,hypothesis,
    ( aElementOf0(xp,xQ)
    & ! [X1] :
        ( aElementOf0(X1,xQ)
       => sdtlseqdt0(xp,X1) )
    & xp = szmzizndt0(xQ) ),
    file('/export/starexec/sandbox2/tmp/tmp.12xPXp3vfx/E---3.1_17267.p',m__5147) ).

fof(m__5496,hypothesis,
    xp = xx,
    file('/export/starexec/sandbox2/tmp/tmp.12xPXp3vfx/E---3.1_17267.p',m__5496) ).

fof(m__5348,hypothesis,
    ( aElement0(xx)
    & aElementOf0(xx,xQ)
    & xx != szmzizndt0(xQ)
    & aElementOf0(xx,xP) ),
    file('/export/starexec/sandbox2/tmp/tmp.12xPXp3vfx/E---3.1_17267.p',m__5348) ).

fof(c_0_3,hypothesis,
    ! [X91] :
      ( aElementOf0(xp,xQ)
      & ( ~ aElementOf0(X91,xQ)
        | sdtlseqdt0(xp,X91) )
      & xp = szmzizndt0(xQ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5147])])]) ).

cnf(c_0_4,hypothesis,
    xp = szmzizndt0(xQ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,hypothesis,
    xp = xx,
    inference(split_conjunct,[status(thm)],[m__5496]) ).

cnf(c_0_6,hypothesis,
    xx != szmzizndt0(xQ),
    inference(split_conjunct,[status(thm)],[m__5348]) ).

cnf(c_0_7,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5]),c_0_6]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM625+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % 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 14:35:06 EDT 2023
% 0.10/0.33  % CPUTime    : 
% 0.15/0.45  Running first-order model finding
% 0.15/0.45  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/tmp/tmp.12xPXp3vfx/E---3.1_17267.p
% 0.92/0.80  # Version: 3.1pre001
% 0.92/0.80  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.92/0.80  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.92/0.80  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.92/0.80  # Starting new_bool_3 with 300s (1) cores
% 0.92/0.80  # Starting new_bool_1 with 300s (1) cores
% 0.92/0.80  # Starting sh5l with 300s (1) cores
% 0.92/0.80  # sh5l with pid 17349 completed with status 8
% 0.92/0.80  # new_bool_1 with pid 17348 completed with status 0
% 0.92/0.80  # Result found by new_bool_1
% 0.92/0.80  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.92/0.80  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.92/0.80  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.92/0.80  # Starting new_bool_3 with 300s (1) cores
% 0.92/0.80  # Starting new_bool_1 with 300s (1) cores
% 0.92/0.80  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.92/0.80  # Search class: FGHSF-SMLM32-MFFFFFNN
% 0.92/0.80  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.92/0.80  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 163s (1) cores
% 0.92/0.80  # G-E--_208_C18_F1_SE_CS_SP_PS_S2o with pid 17378 completed with status 0
% 0.92/0.80  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2o
% 0.92/0.80  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.92/0.80  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.92/0.80  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.92/0.80  # Starting new_bool_3 with 300s (1) cores
% 0.92/0.80  # Starting new_bool_1 with 300s (1) cores
% 0.92/0.80  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.92/0.80  # Search class: FGHSF-SMLM32-MFFFFFNN
% 0.92/0.80  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.92/0.80  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 163s (1) cores
% 0.92/0.80  # Preprocessing time       : 0.095 s
% 0.92/0.80  # Presaturation interreduction done
% 0.92/0.80  
% 0.92/0.80  # Proof found!
% 0.92/0.80  # SZS status ContradictoryAxioms
% 0.92/0.80  # SZS output start CNFRefutation
% See solution above
% 0.92/0.80  # Parsed axioms                        : 121
% 0.92/0.80  # Removed by relevancy pruning/SinE    : 9
% 0.92/0.80  # Initial clauses                      : 4909
% 0.92/0.80  # Removed in clause preprocessing      : 8
% 0.92/0.80  # Initial clauses in saturation        : 4901
% 0.92/0.80  # Processed clauses                    : 6
% 0.92/0.80  # ...of these trivial                  : 0
% 0.92/0.80  # ...subsumed                          : 1
% 0.92/0.80  # ...remaining for further processing  : 4
% 0.92/0.80  # Other redundant clauses eliminated   : 0
% 0.92/0.80  # Clauses deleted for lack of memory   : 0
% 0.92/0.80  # Backward-subsumed                    : 0
% 0.92/0.80  # Backward-rewritten                   : 0
% 0.92/0.80  # Generated clauses                    : 0
% 0.92/0.80  # ...of the previous two non-redundant : 0
% 0.92/0.80  # ...aggressively subsumed             : 0
% 0.92/0.80  # Contextual simplify-reflections      : 0
% 0.92/0.80  # Paramodulations                      : 0
% 0.92/0.80  # Factorizations                       : 0
% 0.92/0.80  # NegExts                              : 0
% 0.92/0.80  # Equation resolutions                 : 0
% 0.92/0.80  # Total rewrite steps                  : 1
% 0.92/0.80  # Propositional unsat checks           : 0
% 0.92/0.80  #    Propositional check models        : 0
% 0.92/0.80  #    Propositional check unsatisfiable : 0
% 0.92/0.80  #    Propositional clauses             : 0
% 0.92/0.80  #    Propositional clauses after purity: 0
% 0.92/0.80  #    Propositional unsat core size     : 0
% 0.92/0.80  #    Propositional preprocessing time  : 0.000
% 0.92/0.80  #    Propositional encoding time       : 0.000
% 0.92/0.80  #    Propositional solver time         : 0.000
% 0.92/0.80  #    Success case prop preproc time    : 0.000
% 0.92/0.80  #    Success case prop encoding time   : 0.000
% 0.92/0.80  #    Success case prop solver time     : 0.000
% 0.92/0.80  # Current number of processed clauses  : 4
% 0.92/0.80  #    Positive orientable unit clauses  : 1
% 0.92/0.80  #    Positive unorientable unit clauses: 0
% 0.92/0.80  #    Negative unit clauses             : 3
% 0.92/0.80  #    Non-unit-clauses                  : 0
% 0.92/0.80  # Current number of unprocessed clauses: 4895
% 0.92/0.80  # ...number of literals in the above   : 55929
% 0.92/0.80  # Current number of archived formulas  : 0
% 0.92/0.80  # Current number of archived clauses   : 0
% 0.92/0.80  # Clause-clause subsumption calls (NU) : 0
% 0.92/0.80  # Rec. Clause-clause subsumption calls : 0
% 0.92/0.80  # Non-unit clause-clause subsumptions  : 0
% 0.92/0.80  # Unit Clause-clause subsumption calls : 0
% 0.92/0.80  # Rewrite failures with RHS unbound    : 0
% 0.92/0.80  # BW rewrite match attempts            : 0
% 0.92/0.80  # BW rewrite match successes           : 0
% 0.92/0.80  # Condensation attempts                : 0
% 0.92/0.80  # Condensation successes               : 0
% 0.92/0.80  # Termbank termtop insertions          : 376654
% 0.92/0.80  
% 0.92/0.80  # -------------------------------------------------
% 0.92/0.80  # User time                : 0.281 s
% 0.92/0.80  # System time              : 0.012 s
% 0.92/0.80  # Total time               : 0.293 s
% 0.92/0.80  # Maximum resident set size: 14160 pages
% 0.92/0.80  
% 0.92/0.80  # -------------------------------------------------
% 0.92/0.80  # User time                : 0.295 s
% 0.92/0.80  # System time              : 0.026 s
% 0.92/0.80  # Total time               : 0.321 s
% 0.92/0.80  # Maximum resident set size: 1876 pages
% 0.92/0.80  % E---3.1 exiting
%------------------------------------------------------------------------------