TSTP Solution File: NUM429+3 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : NUM429+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 01:26:08 EDT 2024

% Result   : Theorem 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   3 unt;   0 def)
%            Number of atoms       :   29 (  10 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   26 (   7   ~;   3   |;  16   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn   1   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ? [X1] :
      ( aInteger0(X1)
      & sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xb)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(m__853,hypothesis,
    ( ? [X1] :
        ( aInteger0(X1)
        & sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xb)) )
    & aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
    & sdteqdtlpzmzozddtrp0(xa,xb,xq)
    & ? [X1] :
        ( aInteger0(X1)
        & sdtasdt0(xq,X1) = sdtpldt0(xb,smndt0(xc)) )
    & aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
    & sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__853) ).

fof(c_0_2,negated_conjecture,
    ~ ? [X1] :
        ( aInteger0(X1)
        & sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xb)) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_3,negated_conjecture,
    ! [X4] :
      ( ~ aInteger0(X4)
      | sdtasdt0(xq,X4) != sdtpldt0(xa,smndt0(xb)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

fof(c_0_4,hypothesis,
    ( aInteger0(esk1_0)
    & sdtasdt0(xq,esk1_0) = sdtpldt0(xa,smndt0(xb))
    & aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
    & sdteqdtlpzmzozddtrp0(xa,xb,xq)
    & aInteger0(esk2_0)
    & sdtasdt0(xq,esk2_0) = sdtpldt0(xb,smndt0(xc))
    & aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
    & sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__853])]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ aInteger0(X1)
    | sdtasdt0(xq,X1) != sdtpldt0(xa,smndt0(xb)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,hypothesis,
    sdtasdt0(xq,esk1_0) = sdtpldt0(xa,smndt0(xb)),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ( sdtasdt0(xq,X1) != sdtasdt0(xq,esk1_0)
    | ~ aInteger0(X1) ),
    inference(rw,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,hypothesis,
    aInteger0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_7]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM429+3 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n005.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 03:46:52 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.19/0.49  # Version: 3.1.0
% 0.19/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # sh5l with pid 29117 completed with status 0
% 0.19/0.49  # Result found by sh5l
% 0.19/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.49  # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.19/0.49  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 0.19/0.49  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with pid 29124 completed with status 0
% 0.19/0.49  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v
% 0.19/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.49  # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.19/0.49  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 0.19/0.49  # Preprocessing time       : 0.001 s
% 0.19/0.49  # Presaturation interreduction done
% 0.19/0.49  
% 0.19/0.49  # Proof found!
% 0.19/0.49  # SZS status Theorem
% 0.19/0.49  # SZS output start CNFRefutation
% See solution above
% 0.19/0.49  # Parsed axioms                        : 24
% 0.19/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.49  # Initial clauses                      : 46
% 0.19/0.49  # Removed in clause preprocessing      : 1
% 0.19/0.49  # Initial clauses in saturation        : 45
% 0.19/0.49  # Processed clauses                    : 64
% 0.19/0.49  # ...of these trivial                  : 0
% 0.19/0.49  # ...subsumed                          : 0
% 0.19/0.49  # ...remaining for further processing  : 64
% 0.19/0.49  # Other redundant clauses eliminated   : 2
% 0.19/0.49  # Clauses deleted for lack of memory   : 0
% 0.19/0.49  # Backward-subsumed                    : 0
% 0.19/0.49  # Backward-rewritten                   : 0
% 0.19/0.49  # Generated clauses                    : 4
% 0.19/0.49  # ...of the previous two non-redundant : 2
% 0.19/0.49  # ...aggressively subsumed             : 0
% 0.19/0.49  # Contextual simplify-reflections      : 1
% 0.19/0.49  # Paramodulations                      : 1
% 0.19/0.49  # Factorizations                       : 0
% 0.19/0.49  # NegExts                              : 0
% 0.19/0.49  # Equation resolutions                 : 3
% 0.19/0.49  # Disequality decompositions           : 0
% 0.19/0.49  # Total rewrite steps                  : 5
% 0.19/0.49  # ...of those cached                   : 1
% 0.19/0.49  # Propositional unsat checks           : 0
% 0.19/0.49  #    Propositional check models        : 0
% 0.19/0.49  #    Propositional check unsatisfiable : 0
% 0.19/0.49  #    Propositional clauses             : 0
% 0.19/0.49  #    Propositional clauses after purity: 0
% 0.19/0.49  #    Propositional unsat core size     : 0
% 0.19/0.49  #    Propositional preprocessing time  : 0.000
% 0.19/0.49  #    Propositional encoding time       : 0.000
% 0.19/0.49  #    Propositional solver time         : 0.000
% 0.19/0.49  #    Success case prop preproc time    : 0.000
% 0.19/0.49  #    Success case prop encoding time   : 0.000
% 0.19/0.49  #    Success case prop solver time     : 0.000
% 0.19/0.49  # Current number of processed clauses  : 17
% 0.19/0.49  #    Positive orientable unit clauses  : 12
% 0.19/0.49  #    Positive unorientable unit clauses: 0
% 0.19/0.49  #    Negative unit clauses             : 1
% 0.19/0.49  #    Non-unit-clauses                  : 4
% 0.19/0.49  # Current number of unprocessed clauses: 28
% 0.19/0.49  # ...number of literals in the above   : 87
% 0.19/0.49  # Current number of archived formulas  : 0
% 0.19/0.49  # Current number of archived clauses   : 45
% 0.19/0.49  # Clause-clause subsumption calls (NU) : 226
% 0.19/0.49  # Rec. Clause-clause subsumption calls : 84
% 0.19/0.49  # Non-unit clause-clause subsumptions  : 1
% 0.19/0.49  # Unit Clause-clause subsumption calls : 0
% 0.19/0.49  # Rewrite failures with RHS unbound    : 0
% 0.19/0.49  # BW rewrite match attempts            : 0
% 0.19/0.49  # BW rewrite match successes           : 0
% 0.19/0.49  # Condensation attempts                : 0
% 0.19/0.49  # Condensation successes               : 0
% 0.19/0.49  # Termbank termtop insertions          : 2968
% 0.19/0.49  # Search garbage collected termcells   : 501
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.007 s
% 0.19/0.49  # System time              : 0.002 s
% 0.19/0.49  # Total time               : 0.009 s
% 0.19/0.49  # Maximum resident set size: 1856 pages
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.010 s
% 0.19/0.49  # System time              : 0.003 s
% 0.19/0.49  # Total time               : 0.013 s
% 0.19/0.49  # Maximum resident set size: 1716 pages
% 0.19/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------