TSTP Solution File: SWV169+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWV169+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 05:33:31 EDT 2024

% Result   : Theorem 0.20s 0.49s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   15 (   5 unt;   0 def)
%            Number of atoms       :  141 (  26 equ)
%            Maximal formula atoms :   37 (   9 avg)
%            Number of connectives :  163 (  37   ~;  34   |;  67   &)
%                                         (   1 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-3 aty)
%            Number of variables   :   30 (   0 sgn  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0021,conjecture,
    ( ( leq(n0,pv10)
      & leq(n0,pv11)
      & leq(n0,pv65)
      & leq(pv10,n135299)
      & leq(pv11,n4)
      & leq(pv65,n4)
      & ! [X14,X18] :
          ( ( leq(n0,X14)
            & leq(n0,X18)
            & leq(X14,n135299)
            & leq(X18,n4) )
         => ( ( X14 = pv10
              & gt(pv11,X18) )
           => a_select3(q_init,X14,X18) = init ) )
      & ! [X4,X20] :
          ( ( leq(n0,X4)
            & leq(n0,X20)
            & leq(X4,n135299)
            & leq(X20,n4) )
         => ( gt(pv10,X4)
           => a_select3(q_init,X4,X20) = init ) )
      & ! [X21] :
          ( ( leq(n0,X21)
            & leq(X21,pred(pv10)) )
         => ! [X22] :
              ( ( leq(n0,X22)
                & leq(X22,n4) )
             => a_select3(q_init,X21,X22) = init ) )
      & ! [X28] :
          ( ( leq(n0,X28)
            & leq(X28,n4) )
         => a_select3(center_init,X28,n0) = init ) )
   => a_select3(center_init,pv65,n0) = init ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0021) ).

fof(c_0_1,plain,
    ( epred1_0
  <=> ( leq(n0,pv10)
      & leq(n0,pv11)
      & leq(n0,pv65)
      & leq(pv10,n135299)
      & leq(pv11,n4)
      & leq(pv65,n4)
      & ! [X14,X18] :
          ( ( leq(n0,X14)
            & leq(n0,X18)
            & leq(X14,n135299)
            & leq(X18,n4) )
         => ( ( X14 = pv10
              & gt(pv11,X18) )
           => a_select3(q_init,X14,X18) = init ) )
      & ! [X4,X20] :
          ( ( leq(n0,X4)
            & leq(n0,X20)
            & leq(X4,n135299)
            & leq(X20,n4) )
         => ( gt(pv10,X4)
           => a_select3(q_init,X4,X20) = init ) )
      & ! [X21] :
          ( ( leq(n0,X21)
            & leq(X21,pred(pv10)) )
         => ! [X22] :
              ( ( leq(n0,X22)
                & leq(X22,n4) )
             => a_select3(q_init,X21,X22) = init ) )
      & ! [X28] :
          ( ( leq(n0,X28)
            & leq(X28,n4) )
         => a_select3(center_init,X28,n0) = init ) ) ),
    introduced(definition) ).

fof(c_0_2,plain,
    ( epred1_0
   => ( leq(n0,pv10)
      & leq(n0,pv11)
      & leq(n0,pv65)
      & leq(pv10,n135299)
      & leq(pv11,n4)
      & leq(pv65,n4)
      & ! [X14,X18] :
          ( ( leq(n0,X14)
            & leq(n0,X18)
            & leq(X14,n135299)
            & leq(X18,n4) )
         => ( ( X14 = pv10
              & gt(pv11,X18) )
           => a_select3(q_init,X14,X18) = init ) )
      & ! [X4,X20] :
          ( ( leq(n0,X4)
            & leq(n0,X20)
            & leq(X4,n135299)
            & leq(X20,n4) )
         => ( gt(pv10,X4)
           => a_select3(q_init,X4,X20) = init ) )
      & ! [X21] :
          ( ( leq(n0,X21)
            & leq(X21,pred(pv10)) )
         => ! [X22] :
              ( ( leq(n0,X22)
                & leq(X22,n4) )
             => a_select3(q_init,X21,X22) = init ) )
      & ! [X28] :
          ( ( leq(n0,X28)
            & leq(X28,n4) )
         => a_select3(center_init,X28,n0) = init ) ) ),
    inference(split_equiv,[status(thm)],[c_0_1]) ).

fof(c_0_3,negated_conjecture,
    ~ ( epred1_0
     => a_select3(center_init,pv65,n0) = init ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cl5_nebula_init_0021]),c_0_1]) ).

fof(c_0_4,plain,
    ! [X72,X73,X74,X75,X76,X77,X78] :
      ( ( leq(n0,pv10)
        | ~ epred1_0 )
      & ( leq(n0,pv11)
        | ~ epred1_0 )
      & ( leq(n0,pv65)
        | ~ epred1_0 )
      & ( leq(pv10,n135299)
        | ~ epred1_0 )
      & ( leq(pv11,n4)
        | ~ epred1_0 )
      & ( leq(pv65,n4)
        | ~ epred1_0 )
      & ( ~ leq(n0,X72)
        | ~ leq(n0,X73)
        | ~ leq(X72,n135299)
        | ~ leq(X73,n4)
        | X72 != pv10
        | ~ gt(pv11,X73)
        | a_select3(q_init,X72,X73) = init
        | ~ epred1_0 )
      & ( ~ leq(n0,X74)
        | ~ leq(n0,X75)
        | ~ leq(X74,n135299)
        | ~ leq(X75,n4)
        | ~ gt(pv10,X74)
        | a_select3(q_init,X74,X75) = init
        | ~ epred1_0 )
      & ( ~ leq(n0,X76)
        | ~ leq(X76,pred(pv10))
        | ~ leq(n0,X77)
        | ~ leq(X77,n4)
        | a_select3(q_init,X76,X77) = init
        | ~ epred1_0 )
      & ( ~ leq(n0,X78)
        | ~ leq(X78,n4)
        | a_select3(center_init,X78,n0) = init
        | ~ epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).

fof(c_0_5,negated_conjecture,
    ( epred1_0
    & a_select3(center_init,pv65,n0) != init ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).

cnf(c_0_6,plain,
    ( a_select3(center_init,X1,n0) = init
    | ~ leq(n0,X1)
    | ~ leq(X1,n4)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    epred1_0,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( leq(pv65,n4)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,plain,
    ( leq(n0,pv65)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,plain,
    ( a_select3(center_init,X1,n0) = init
    | ~ leq(X1,n4)
    | ~ leq(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).

cnf(c_0_11,plain,
    leq(pv65,n4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_7])]) ).

cnf(c_0_12,plain,
    leq(n0,pv65),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_7])]) ).

cnf(c_0_13,negated_conjecture,
    a_select3(center_init,pv65,n0) != init,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_14,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV169+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 09:01:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.47  Running first-order model finding
% 0.20/0.47  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
% 0.20/0.49  # Version: 3.1.0
% 0.20/0.49  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.49  # Starting sh5l with 300s (1) cores
% 0.20/0.49  # new_bool_3 with pid 25893 completed with status 0
% 0.20/0.49  # Result found by new_bool_3
% 0.20/0.49  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.49  # Search class: FGUSM-FFMM31-MFFFFFNN
% 0.20/0.49  # partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.20/0.49  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49  # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.20/0.49  # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 25896 completed with status 0
% 0.20/0.49  # Result found by G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S
% 0.20/0.49  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.49  # Search class: FGUSM-FFMM31-MFFFFFNN
% 0.20/0.49  # partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.20/0.49  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49  # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.20/0.49  # Preprocessing time       : 0.002 s
% 0.20/0.49  # Presaturation interreduction done
% 0.20/0.49  
% 0.20/0.49  # Proof found!
% 0.20/0.49  # SZS status Theorem
% 0.20/0.49  # SZS output start CNFRefutation
% See solution above
% 0.20/0.49  # Parsed axioms                        : 92
% 0.20/0.49  # Removed by relevancy pruning/SinE    : 26
% 0.20/0.49  # Initial clauses                      : 80
% 0.20/0.49  # Removed in clause preprocessing      : 0
% 0.20/0.49  # Initial clauses in saturation        : 80
% 0.20/0.49  # Processed clauses                    : 133
% 0.20/0.49  # ...of these trivial                  : 0
% 0.20/0.49  # ...subsumed                          : 0
% 0.20/0.49  # ...remaining for further processing  : 133
% 0.20/0.49  # Other redundant clauses eliminated   : 0
% 0.20/0.49  # Clauses deleted for lack of memory   : 0
% 0.20/0.49  # Backward-subsumed                    : 0
% 0.20/0.49  # Backward-rewritten                   : 0
% 0.20/0.49  # Generated clauses                    : 47
% 0.20/0.49  # ...of the previous two non-redundant : 36
% 0.20/0.49  # ...aggressively subsumed             : 0
% 0.20/0.49  # Contextual simplify-reflections      : 0
% 0.20/0.49  # Paramodulations                      : 47
% 0.20/0.49  # Factorizations                       : 0
% 0.20/0.49  # NegExts                              : 0
% 0.20/0.49  # Equation resolutions                 : 0
% 0.20/0.49  # Disequality decompositions           : 0
% 0.20/0.49  # Total rewrite steps                  : 33
% 0.20/0.49  # ...of those cached                   : 21
% 0.20/0.49  # Propositional unsat checks           : 0
% 0.20/0.49  #    Propositional check models        : 0
% 0.20/0.49  #    Propositional check unsatisfiable : 0
% 0.20/0.49  #    Propositional clauses             : 0
% 0.20/0.49  #    Propositional clauses after purity: 0
% 0.20/0.49  #    Propositional unsat core size     : 0
% 0.20/0.49  #    Propositional preprocessing time  : 0.000
% 0.20/0.49  #    Propositional encoding time       : 0.000
% 0.20/0.49  #    Propositional solver time         : 0.000
% 0.20/0.49  #    Success case prop preproc time    : 0.000
% 0.20/0.49  #    Success case prop encoding time   : 0.000
% 0.20/0.49  #    Success case prop solver time     : 0.000
% 0.20/0.49  # Current number of processed clauses  : 53
% 0.20/0.49  #    Positive orientable unit clauses  : 49
% 0.20/0.49  #    Positive unorientable unit clauses: 0
% 0.20/0.49  #    Negative unit clauses             : 2
% 0.20/0.49  #    Non-unit-clauses                  : 2
% 0.20/0.49  # Current number of unprocessed clauses: 63
% 0.20/0.49  # ...number of literals in the above   : 121
% 0.20/0.49  # Current number of archived formulas  : 0
% 0.20/0.49  # Current number of archived clauses   : 80
% 0.20/0.49  # Clause-clause subsumption calls (NU) : 88
% 0.20/0.49  # Rec. Clause-clause subsumption calls : 29
% 0.20/0.49  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.49  # Unit Clause-clause subsumption calls : 0
% 0.20/0.49  # Rewrite failures with RHS unbound    : 0
% 0.20/0.49  # BW rewrite match attempts            : 1
% 0.20/0.49  # BW rewrite match successes           : 0
% 0.20/0.49  # Condensation attempts                : 0
% 0.20/0.49  # Condensation successes               : 0
% 0.20/0.49  # Termbank termtop insertions          : 4756
% 0.20/0.49  # Search garbage collected termcells   : 769
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.007 s
% 0.20/0.49  # System time              : 0.005 s
% 0.20/0.49  # Total time               : 0.012 s
% 0.20/0.49  # Maximum resident set size: 2076 pages
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.009 s
% 0.20/0.49  # System time              : 0.008 s
% 0.20/0.49  # Total time               : 0.017 s
% 0.20/0.49  # Maximum resident set size: 1824 pages
% 0.20/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------