TSTP Solution File: SWV078+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWV078+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 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 05:21:01 EDT 2024

% Result   : Theorem 0.15s 0.42s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (  10 unt;   0 def)
%            Number of atoms       :   41 (  14 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :   43 (  17   ~;   9   |;  11   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(cl5_nebula_array_0019,conjecture,
    ( ( leq(n0,pv31)
      & leq(pv31,minus(n5,n1)) )
   => ( ( n0 != pv70
       => ( leq(n0,pv31)
          & leq(pv31,minus(n5,n1)) ) )
      & ( n0 = pv70
       => true ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0019) ).

fof(pred_minus_1,axiom,
    ! [X1] : minus(X1,n1) = pred(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).

fof(ttrue,axiom,
    true,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',ttrue) ).

fof(c_0_3,negated_conjecture,
    ~ ( ( leq(n0,pv31)
        & leq(pv31,minus(n5,n1)) )
     => ( ( n0 != pv70
         => ( leq(n0,pv31)
            & leq(pv31,minus(n5,n1)) ) )
        & ( n0 = pv70
         => true ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cl5_nebula_array_0019])]) ).

fof(c_0_4,negated_conjecture,
    ( leq(n0,pv31)
    & leq(pv31,minus(n5,n1))
    & ( n0 = pv70
      | n0 != pv70 )
    & ( ~ true
      | n0 != pv70 )
    & ( n0 = pv70
      | ~ leq(n0,pv31)
      | ~ leq(pv31,minus(n5,n1)) )
    & ( ~ true
      | ~ leq(n0,pv31)
      | ~ leq(pv31,minus(n5,n1)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

fof(c_0_5,plain,
    ! [X50] : minus(X50,n1) = pred(X50),
    inference(variable_rename,[status(thm)],[pred_minus_1]) ).

cnf(c_0_6,negated_conjecture,
    ( ~ true
    | n0 != pv70 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    true,
    inference(split_conjunct,[status(thm)],[ttrue]) ).

cnf(c_0_8,negated_conjecture,
    ( n0 = pv70
    | ~ leq(n0,pv31)
    | ~ leq(pv31,minus(n5,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    leq(n0,pv31),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,plain,
    minus(X1,n1) = pred(X1),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,negated_conjecture,
    pv70 != n0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).

cnf(c_0_12,negated_conjecture,
    leq(pv31,minus(n5,n1)),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_13,negated_conjecture,
    ~ leq(pv31,pred(n5)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_10])]),c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_10]),c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SWV078+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.05/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n016.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Sun May 19 09:28:53 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  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/benchmark/theBenchmark.p
% 0.15/0.42  # Version: 3.1.0
% 0.15/0.42  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42  # Starting sh5l with 300s (1) cores
% 0.15/0.42  # sh5l with pid 841 completed with status 0
% 0.15/0.42  # Result found by sh5l
% 0.15/0.42  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42  # Starting sh5l with 300s (1) cores
% 0.15/0.42  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.42  # Search class: FGHSM-FFMM31-MFFFFFNN
% 0.15/0.42  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42  # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.15/0.42  # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 844 completed with status 0
% 0.15/0.42  # Result found by G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S
% 0.15/0.42  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42  # Starting sh5l with 300s (1) cores
% 0.15/0.42  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.42  # Search class: FGHSM-FFMM31-MFFFFFNN
% 0.15/0.42  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42  # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.15/0.42  # Preprocessing time       : 0.001 s
% 0.15/0.42  # Presaturation interreduction done
% 0.15/0.42  
% 0.15/0.42  # Proof found!
% 0.15/0.42  # SZS status Theorem
% 0.15/0.42  # SZS output start CNFRefutation
% See solution above
% 0.15/0.42  # Parsed axioms                        : 85
% 0.15/0.42  # Removed by relevancy pruning/SinE    : 21
% 0.15/0.42  # Initial clauses                      : 72
% 0.15/0.42  # Removed in clause preprocessing      : 1
% 0.15/0.42  # Initial clauses in saturation        : 71
% 0.15/0.42  # Processed clauses                    : 72
% 0.15/0.42  # ...of these trivial                  : 0
% 0.15/0.42  # ...subsumed                          : 1
% 0.15/0.42  # ...remaining for further processing  : 70
% 0.15/0.42  # Other redundant clauses eliminated   : 0
% 0.15/0.42  # Clauses deleted for lack of memory   : 0
% 0.15/0.42  # Backward-subsumed                    : 0
% 0.15/0.42  # Backward-rewritten                   : 1
% 0.15/0.42  # Generated clauses                    : 0
% 0.15/0.42  # ...of the previous two non-redundant : 1
% 0.15/0.42  # ...aggressively subsumed             : 0
% 0.15/0.42  # Contextual simplify-reflections      : 0
% 0.15/0.42  # Paramodulations                      : 0
% 0.15/0.42  # Factorizations                       : 0
% 0.15/0.42  # NegExts                              : 0
% 0.15/0.42  # Equation resolutions                 : 0
% 0.15/0.42  # Disequality decompositions           : 0
% 0.15/0.42  # Total rewrite steps                  : 18
% 0.15/0.42  # ...of those cached                   : 10
% 0.15/0.42  # Propositional unsat checks           : 0
% 0.15/0.42  #    Propositional check models        : 0
% 0.15/0.42  #    Propositional check unsatisfiable : 0
% 0.15/0.42  #    Propositional clauses             : 0
% 0.15/0.42  #    Propositional clauses after purity: 0
% 0.15/0.42  #    Propositional unsat core size     : 0
% 0.15/0.42  #    Propositional preprocessing time  : 0.000
% 0.15/0.42  #    Propositional encoding time       : 0.000
% 0.15/0.42  #    Propositional solver time         : 0.000
% 0.15/0.42  #    Success case prop preproc time    : 0.000
% 0.15/0.42  #    Success case prop encoding time   : 0.000
% 0.15/0.42  #    Success case prop solver time     : 0.000
% 0.15/0.42  # Current number of processed clauses  : 69
% 0.15/0.42  #    Positive orientable unit clauses  : 46
% 0.15/0.42  #    Positive unorientable unit clauses: 0
% 0.15/0.42  #    Negative unit clauses             : 3
% 0.15/0.42  #    Non-unit-clauses                  : 20
% 0.15/0.42  # Current number of unprocessed clauses: 0
% 0.15/0.42  # ...number of literals in the above   : 0
% 0.15/0.42  # Current number of archived formulas  : 0
% 0.15/0.42  # Current number of archived clauses   : 1
% 0.15/0.42  # Clause-clause subsumption calls (NU) : 42
% 0.15/0.42  # Rec. Clause-clause subsumption calls : 7
% 0.15/0.42  # Non-unit clause-clause subsumptions  : 0
% 0.15/0.42  # Unit Clause-clause subsumption calls : 4
% 0.15/0.42  # Rewrite failures with RHS unbound    : 0
% 0.15/0.42  # BW rewrite match attempts            : 2
% 0.15/0.42  # BW rewrite match successes           : 1
% 0.15/0.42  # Condensation attempts                : 0
% 0.15/0.42  # Condensation successes               : 0
% 0.15/0.42  # Termbank termtop insertions          : 3662
% 0.15/0.42  # Search garbage collected termcells   : 599
% 0.15/0.42  
% 0.15/0.42  # -------------------------------------------------
% 0.15/0.42  # User time                : 0.005 s
% 0.15/0.42  # System time              : 0.001 s
% 0.15/0.42  # Total time               : 0.006 s
% 0.15/0.42  # Maximum resident set size: 1900 pages
% 0.15/0.42  
% 0.15/0.42  # -------------------------------------------------
% 0.15/0.42  # User time                : 0.008 s
% 0.15/0.42  # System time              : 0.002 s
% 0.15/0.42  # Total time               : 0.011 s
% 0.15/0.42  # Maximum resident set size: 1812 pages
% 0.15/0.42  % E---3.1 exiting
% 0.15/0.42  % E exiting
%------------------------------------------------------------------------------