TSTP Solution File: SWV174+1 by E---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.2.0
% Problem  : SWV174+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 : Mon Jun 24 16:49:48 EDT 2024

% Result   : Theorem 0.20s 0.55s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   71 (  12 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :   74 (  18   ~;  15   |;  28   &)
%                                         (   1 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-3 aty)
%            Number of variables   :   22 (   0 sgn  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0046,conjecture,
    ( ( leq(n0,pv10)
      & leq(pv10,n135299)
      & ! [X14] :
          ( ( leq(n0,X14)
            & leq(X14,pred(pv10)) )
         => ! [X18] :
              ( ( leq(n0,X18)
                & leq(X18,n4) )
             => a_select3(q_init,X14,X18) = init ) )
      & ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,n4) )
         => a_select3(center_init,X4,n0) = init ) )
   => ! [X20,X21] :
        ( ( leq(n0,X20)
          & leq(n0,X21)
          & leq(X20,n135299)
          & leq(X21,n4) )
       => ( gt(pv10,X20)
         => a_select3(q_init,X20,X21) = init ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.mjSNWb572O/E---3.1_32691.p',cl5_nebula_init_0046) ).

fof(leq_gt_pred,axiom,
    ! [X1,X2] :
      ( leq(X1,pred(X2))
    <=> gt(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.mjSNWb572O/E---3.1_32691.p',leq_gt_pred) ).

fof(c_0_2,negated_conjecture,
    ~ ( ( leq(n0,pv10)
        & leq(pv10,n135299)
        & ! [X14] :
            ( ( leq(n0,X14)
              & leq(X14,pred(pv10)) )
           => ! [X18] :
                ( ( leq(n0,X18)
                  & leq(X18,n4) )
               => a_select3(q_init,X14,X18) = init ) )
        & ! [X4] :
            ( ( leq(n0,X4)
              & leq(X4,n4) )
           => a_select3(center_init,X4,n0) = init ) )
     => ! [X20,X21] :
          ( ( leq(n0,X20)
            & leq(n0,X21)
            & leq(X20,n135299)
            & leq(X21,n4) )
         => ( gt(pv10,X20)
           => a_select3(q_init,X20,X21) = init ) ) ),
    inference(assume_negation,[status(cth)],[cl5_nebula_init_0046]) ).

fof(c_0_3,negated_conjecture,
    ! [X28,X29,X30] :
      ( leq(n0,pv10)
      & leq(pv10,n135299)
      & ( ~ leq(n0,X28)
        | ~ leq(X28,pred(pv10))
        | ~ leq(n0,X29)
        | ~ leq(X29,n4)
        | a_select3(q_init,X28,X29) = init )
      & ( ~ leq(n0,X30)
        | ~ leq(X30,n4)
        | a_select3(center_init,X30,n0) = init )
      & leq(n0,esk1_0)
      & leq(n0,esk2_0)
      & leq(esk1_0,n135299)
      & leq(esk2_0,n4)
      & gt(pv10,esk1_0)
      & a_select3(q_init,esk1_0,esk2_0) != init ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).

fof(c_0_4,plain,
    ! [X60,X61] :
      ( ( ~ leq(X60,pred(X61))
        | gt(X61,X60) )
      & ( ~ gt(X61,X60)
        | leq(X60,pred(X61)) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt_pred])])]) ).

cnf(c_0_5,negated_conjecture,
    ( a_select3(q_init,X1,X2) = init
    | ~ leq(n0,X1)
    | ~ leq(X1,pred(pv10))
    | ~ leq(n0,X2)
    | ~ leq(X2,n4) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    leq(esk2_0,n4),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,negated_conjecture,
    leq(n0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,plain,
    ( leq(X2,pred(X1))
    | ~ gt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    gt(pv10,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_10,negated_conjecture,
    ( a_select3(q_init,X1,esk2_0) = init
    | ~ leq(X1,pred(pv10))
    | ~ leq(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]) ).

cnf(c_0_11,negated_conjecture,
    leq(n0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_12,negated_conjecture,
    leq(esk1_0,pred(pv10)),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    a_select3(q_init,esk1_0,esk2_0) != init,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_14,negated_conjecture,
    $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
% 0.11/0.12  % Problem    : SWV174+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.11/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n028.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Thu Jun 20 18:06:24 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.mjSNWb572O/E---3.1_32691.p
% 0.20/0.55  # Version: 3.2.0
% 0.20/0.55  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.55  # Starting sh5l with 300s (1) cores
% 0.20/0.55  # new_bool_3 with pid 302 completed with status 0
% 0.20/0.55  # Result found by new_bool_3
% 0.20/0.55  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.55  # Search class: FGUSM-FFMM31-MFFFFFNN
% 0.20/0.55  # partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.20/0.55  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.55  # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.20/0.55  # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 305 completed with status 0
% 0.20/0.55  # Result found by G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S
% 0.20/0.55  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.55  # Search class: FGUSM-FFMM31-MFFFFFNN
% 0.20/0.55  # partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.20/0.55  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.55  # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.20/0.55  # Preprocessing time       : 0.002 s
% 0.20/0.55  # Presaturation interreduction done
% 0.20/0.55  
% 0.20/0.55  # Proof found!
% 0.20/0.55  # SZS status Theorem
% 0.20/0.55  # SZS output start CNFRefutation
% See solution above
% 0.20/0.55  # Parsed axioms                        : 92
% 0.20/0.55  # Removed by relevancy pruning/SinE    : 26
% 0.20/0.55  # Initial clauses                      : 78
% 0.20/0.55  # Removed in clause preprocessing      : 0
% 0.20/0.55  # Initial clauses in saturation        : 78
% 0.20/0.55  # Processed clauses                    : 891
% 0.20/0.55  # ...of these trivial                  : 131
% 0.20/0.55  # ...subsumed                          : 113
% 0.20/0.55  # ...remaining for further processing  : 647
% 0.20/0.55  # Other redundant clauses eliminated   : 0
% 0.20/0.55  # Clauses deleted for lack of memory   : 0
% 0.20/0.55  # Backward-subsumed                    : 24
% 0.20/0.55  # Backward-rewritten                   : 0
% 0.20/0.55  # Generated clauses                    : 3874
% 0.20/0.55  # ...of the previous two non-redundant : 2277
% 0.20/0.55  # ...aggressively subsumed             : 0
% 0.20/0.55  # Contextual simplify-reflections      : 0
% 0.20/0.55  # Paramodulations                      : 3872
% 0.20/0.55  # Factorizations                       : 2
% 0.20/0.55  # NegExts                              : 0
% 0.20/0.55  # Equation resolutions                 : 0
% 0.20/0.55  # Disequality decompositions           : 0
% 0.20/0.55  # Total rewrite steps                  : 2973
% 0.20/0.55  # ...of those cached                   : 2613
% 0.20/0.55  # Propositional unsat checks           : 0
% 0.20/0.55  #    Propositional check models        : 0
% 0.20/0.55  #    Propositional check unsatisfiable : 0
% 0.20/0.55  #    Propositional clauses             : 0
% 0.20/0.55  #    Propositional clauses after purity: 0
% 0.20/0.55  #    Propositional unsat core size     : 0
% 0.20/0.55  #    Propositional preprocessing time  : 0.000
% 0.20/0.55  #    Propositional encoding time       : 0.000
% 0.20/0.55  #    Propositional solver time         : 0.000
% 0.20/0.55  #    Success case prop preproc time    : 0.000
% 0.20/0.55  #    Success case prop encoding time   : 0.000
% 0.20/0.55  #    Success case prop solver time     : 0.000
% 0.20/0.55  # Current number of processed clauses  : 545
% 0.20/0.55  #    Positive orientable unit clauses  : 342
% 0.20/0.55  #    Positive unorientable unit clauses: 0
% 0.20/0.55  #    Negative unit clauses             : 2
% 0.20/0.55  #    Non-unit-clauses                  : 201
% 0.20/0.55  # Current number of unprocessed clauses: 1511
% 0.20/0.55  # ...number of literals in the above   : 3426
% 0.20/0.55  # Current number of archived formulas  : 0
% 0.20/0.55  # Current number of archived clauses   : 102
% 0.20/0.55  # Clause-clause subsumption calls (NU) : 2155
% 0.20/0.55  # Rec. Clause-clause subsumption calls : 1489
% 0.20/0.55  # Non-unit clause-clause subsumptions  : 113
% 0.20/0.55  # Unit Clause-clause subsumption calls : 1560
% 0.20/0.55  # Rewrite failures with RHS unbound    : 0
% 0.20/0.55  # BW rewrite match attempts            : 243
% 0.20/0.55  # BW rewrite match successes           : 16
% 0.20/0.55  # Condensation attempts                : 0
% 0.20/0.55  # Condensation successes               : 0
% 0.20/0.55  # Termbank termtop insertions          : 38930
% 0.20/0.55  # Search garbage collected termcells   : 780
% 0.20/0.55  
% 0.20/0.55  # -------------------------------------------------
% 0.20/0.55  # User time                : 0.051 s
% 0.20/0.55  # System time              : 0.006 s
% 0.20/0.55  # Total time               : 0.057 s
% 0.20/0.55  # Maximum resident set size: 1920 pages
% 0.20/0.55  
% 0.20/0.55  # -------------------------------------------------
% 0.20/0.55  # User time                : 0.055 s
% 0.20/0.55  # System time              : 0.007 s
% 0.20/0.55  # Total time               : 0.062 s
% 0.20/0.55  # Maximum resident set size: 1796 pages
% 0.20/0.55  % E---3.1 exiting
% 0.20/0.55  % E exiting
%------------------------------------------------------------------------------