TSTP Solution File: SWV183+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV183+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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 19:56:18 EDT 2023

% Result   : Theorem 0.15s 0.41s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :  193 (  50 equ)
%            Maximal formula atoms :   51 (  14 avg)
%            Number of connectives :  227 (  47   ~;  44   |;  85   &)
%                                         (   1 <=>;  50  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  15 con; 0-3 aty)
%            Number of variables   :   52 (   0 sgn;  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0091,conjecture,
    ( ( gt(loopcounter,n0)
      & ! [X14] :
          ( ( leq(n0,X14)
            & leq(X14,n135299) )
         => ! [X18] :
              ( ( leq(n0,X18)
                & leq(X18,n4) )
             => a_select3(q_init,X14,X18) = init ) )
      & ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,n4) )
         => a_select2(rho_init,X4) = init )
      & ! [X20] :
          ( ( leq(n0,X20)
            & leq(X20,n4) )
         => a_select2(mu_init,X20) = init )
      & ! [X21] :
          ( ( leq(n0,X21)
            & leq(X21,n4) )
         => a_select2(sigma_init,X21) = init )
      & ! [X22] :
          ( ( leq(n0,X22)
            & leq(X22,n4) )
         => a_select3(center_init,X22,n0) = init )
      & ( gt(loopcounter,n1)
       => ! [X28] :
            ( ( leq(n0,X28)
              & leq(X28,n4) )
           => a_select2(muold_init,X28) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X29] :
            ( ( leq(n0,X29)
              & leq(X29,n4) )
           => a_select2(rhoold_init,X29) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X5] :
            ( ( leq(n0,X5)
              & leq(X5,n4) )
           => a_select2(sigmaold_init,X5) = init ) )
      & ! [X11] :
          ( ( leq(n0,X11)
            & leq(X11,n4) )
         => a_select2(muold_init,X11) = init )
      & ! [X16] :
          ( ( leq(n0,X16)
            & leq(X16,n4) )
         => a_select2(rhoold_init,X16) = init )
      & ! [X6] :
          ( ( leq(n0,X6)
            & leq(X6,n4) )
         => a_select2(sigmaold_init,X6) = init ) )
   => ! [X19] :
        ( ( leq(n0,X19)
          & leq(X19,n4) )
       => a_select2(mu_init,X19) = init ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0F7lfTdM6N/E---3.1_28051.p',cl5_nebula_init_0091) ).

fof(c_0_1,plain,
    ( epred1_0
  <=> ( gt(loopcounter,n0)
      & ! [X14] :
          ( ( leq(n0,X14)
            & leq(X14,n135299) )
         => ! [X18] :
              ( ( leq(n0,X18)
                & leq(X18,n4) )
             => a_select3(q_init,X14,X18) = init ) )
      & ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,n4) )
         => a_select2(rho_init,X4) = init )
      & ! [X20] :
          ( ( leq(n0,X20)
            & leq(X20,n4) )
         => a_select2(mu_init,X20) = init )
      & ! [X21] :
          ( ( leq(n0,X21)
            & leq(X21,n4) )
         => a_select2(sigma_init,X21) = init )
      & ! [X22] :
          ( ( leq(n0,X22)
            & leq(X22,n4) )
         => a_select3(center_init,X22,n0) = init )
      & ( gt(loopcounter,n1)
       => ! [X28] :
            ( ( leq(n0,X28)
              & leq(X28,n4) )
           => a_select2(muold_init,X28) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X29] :
            ( ( leq(n0,X29)
              & leq(X29,n4) )
           => a_select2(rhoold_init,X29) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X5] :
            ( ( leq(n0,X5)
              & leq(X5,n4) )
           => a_select2(sigmaold_init,X5) = init ) )
      & ! [X11] :
          ( ( leq(n0,X11)
            & leq(X11,n4) )
         => a_select2(muold_init,X11) = init )
      & ! [X16] :
          ( ( leq(n0,X16)
            & leq(X16,n4) )
         => a_select2(rhoold_init,X16) = init )
      & ! [X6] :
          ( ( leq(n0,X6)
            & leq(X6,n4) )
         => a_select2(sigmaold_init,X6) = init ) ) ),
    introduced(definition) ).

fof(c_0_2,plain,
    ( epred1_0
   => ( gt(loopcounter,n0)
      & ! [X14] :
          ( ( leq(n0,X14)
            & leq(X14,n135299) )
         => ! [X18] :
              ( ( leq(n0,X18)
                & leq(X18,n4) )
             => a_select3(q_init,X14,X18) = init ) )
      & ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,n4) )
         => a_select2(rho_init,X4) = init )
      & ! [X20] :
          ( ( leq(n0,X20)
            & leq(X20,n4) )
         => a_select2(mu_init,X20) = init )
      & ! [X21] :
          ( ( leq(n0,X21)
            & leq(X21,n4) )
         => a_select2(sigma_init,X21) = init )
      & ! [X22] :
          ( ( leq(n0,X22)
            & leq(X22,n4) )
         => a_select3(center_init,X22,n0) = init )
      & ( gt(loopcounter,n1)
       => ! [X28] :
            ( ( leq(n0,X28)
              & leq(X28,n4) )
           => a_select2(muold_init,X28) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X29] :
            ( ( leq(n0,X29)
              & leq(X29,n4) )
           => a_select2(rhoold_init,X29) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X5] :
            ( ( leq(n0,X5)
              & leq(X5,n4) )
           => a_select2(sigmaold_init,X5) = init ) )
      & ! [X11] :
          ( ( leq(n0,X11)
            & leq(X11,n4) )
         => a_select2(muold_init,X11) = init )
      & ! [X16] :
          ( ( leq(n0,X16)
            & leq(X16,n4) )
         => a_select2(rhoold_init,X16) = init )
      & ! [X6] :
          ( ( leq(n0,X6)
            & leq(X6,n4) )
         => a_select2(sigmaold_init,X6) = init ) ) ),
    inference(split_equiv,[status(thm)],[c_0_1]) ).

fof(c_0_3,negated_conjecture,
    ~ ( epred1_0
     => ! [X19] :
          ( ( leq(n0,X19)
            & leq(X19,n4) )
         => a_select2(mu_init,X19) = init ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cl5_nebula_init_0091]),c_0_1]) ).

fof(c_0_4,plain,
    ! [X70,X71,X72,X73,X74,X75,X76,X77,X78,X79,X80,X81] :
      ( ( gt(loopcounter,n0)
        | ~ epred1_0 )
      & ( ~ leq(n0,X70)
        | ~ leq(X70,n135299)
        | ~ leq(n0,X71)
        | ~ leq(X71,n4)
        | a_select3(q_init,X70,X71) = init
        | ~ epred1_0 )
      & ( ~ leq(n0,X72)
        | ~ leq(X72,n4)
        | a_select2(rho_init,X72) = init
        | ~ epred1_0 )
      & ( ~ leq(n0,X73)
        | ~ leq(X73,n4)
        | a_select2(mu_init,X73) = init
        | ~ epred1_0 )
      & ( ~ leq(n0,X74)
        | ~ leq(X74,n4)
        | a_select2(sigma_init,X74) = init
        | ~ epred1_0 )
      & ( ~ leq(n0,X75)
        | ~ leq(X75,n4)
        | a_select3(center_init,X75,n0) = init
        | ~ epred1_0 )
      & ( ~ gt(loopcounter,n1)
        | ~ leq(n0,X76)
        | ~ leq(X76,n4)
        | a_select2(muold_init,X76) = init
        | ~ epred1_0 )
      & ( ~ gt(loopcounter,n1)
        | ~ leq(n0,X77)
        | ~ leq(X77,n4)
        | a_select2(rhoold_init,X77) = init
        | ~ epred1_0 )
      & ( ~ gt(loopcounter,n1)
        | ~ leq(n0,X78)
        | ~ leq(X78,n4)
        | a_select2(sigmaold_init,X78) = init
        | ~ epred1_0 )
      & ( ~ leq(n0,X79)
        | ~ leq(X79,n4)
        | a_select2(muold_init,X79) = init
        | ~ epred1_0 )
      & ( ~ leq(n0,X80)
        | ~ leq(X80,n4)
        | a_select2(rhoold_init,X80) = init
        | ~ epred1_0 )
      & ( ~ leq(n0,X81)
        | ~ leq(X81,n4)
        | a_select2(sigmaold_init,X81) = init
        | ~ epred1_0 ) ),
    inference(distribute,[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
    & leq(n0,esk1_0)
    & leq(esk1_0,n4)
    & a_select2(mu_init,esk1_0) != init ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

cnf(c_0_6,plain,
    ( a_select2(mu_init,X1) = 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,negated_conjecture,
    a_select2(mu_init,esk1_0) != init,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( a_select2(mu_init,X1) = init
    | ~ leq(X1,n4)
    | ~ leq(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).

cnf(c_0_10,negated_conjecture,
    leq(esk1_0,n4),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,negated_conjecture,
    leq(n0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SWV183+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.10  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n009.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 2400
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Oct  3 04:04:44 EDT 2023
% 0.09/0.30  % CPUTime    : 
% 0.15/0.40  Running first-order model finding
% 0.15/0.40  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.0F7lfTdM6N/E---3.1_28051.p
% 0.15/0.41  # Version: 3.1pre001
% 0.15/0.41  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.41  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.41  # Starting sh5l with 300s (1) cores
% 0.15/0.41  # new_bool_1 with pid 28132 completed with status 0
% 0.15/0.41  # Result found by new_bool_1
% 0.15/0.41  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.41  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.41  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.41  # Search class: FGUSM-FFMM32-MFFFFFNN
% 0.15/0.41  # partial match(1): FGHSM-FFMM32-MFFFFFNN
% 0.15/0.41  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.41  # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.15/0.41  # G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with pid 28135 completed with status 0
% 0.15/0.41  # Result found by G-E--_200_B02_F1_AE_CS_SP_PI_S0Y
% 0.15/0.41  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.41  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.41  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.41  # Search class: FGUSM-FFMM32-MFFFFFNN
% 0.15/0.41  # partial match(1): FGHSM-FFMM32-MFFFFFNN
% 0.15/0.41  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.41  # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.15/0.41  # Preprocessing time       : 0.001 s
% 0.15/0.41  
% 0.15/0.41  # Proof found!
% 0.15/0.41  # SZS status Theorem
% 0.15/0.41  # SZS output start CNFRefutation
% See solution above
% 0.15/0.41  # Parsed axioms                        : 92
% 0.15/0.41  # Removed by relevancy pruning/SinE    : 29
% 0.15/0.41  # Initial clauses                      : 80
% 0.15/0.41  # Removed in clause preprocessing      : 0
% 0.15/0.41  # Initial clauses in saturation        : 80
% 0.15/0.41  # Processed clauses                    : 40
% 0.15/0.41  # ...of these trivial                  : 0
% 0.15/0.41  # ...subsumed                          : 0
% 0.15/0.41  # ...remaining for further processing  : 40
% 0.15/0.41  # Other redundant clauses eliminated   : 0
% 0.15/0.41  # Clauses deleted for lack of memory   : 0
% 0.15/0.41  # Backward-subsumed                    : 0
% 0.15/0.41  # Backward-rewritten                   : 0
% 0.15/0.41  # Generated clauses                    : 1
% 0.15/0.41  # ...of the previous two non-redundant : 0
% 0.15/0.41  # ...aggressively subsumed             : 0
% 0.15/0.41  # Contextual simplify-reflections      : 0
% 0.15/0.41  # Paramodulations                      : 1
% 0.15/0.41  # Factorizations                       : 0
% 0.15/0.41  # NegExts                              : 0
% 0.15/0.41  # Equation resolutions                 : 0
% 0.15/0.41  # Total rewrite steps                  : 5
% 0.15/0.41  # Propositional unsat checks           : 0
% 0.15/0.41  #    Propositional check models        : 0
% 0.15/0.41  #    Propositional check unsatisfiable : 0
% 0.15/0.41  #    Propositional clauses             : 0
% 0.15/0.41  #    Propositional clauses after purity: 0
% 0.15/0.41  #    Propositional unsat core size     : 0
% 0.15/0.41  #    Propositional preprocessing time  : 0.000
% 0.15/0.41  #    Propositional encoding time       : 0.000
% 0.15/0.41  #    Propositional solver time         : 0.000
% 0.15/0.41  #    Success case prop preproc time    : 0.000
% 0.15/0.41  #    Success case prop encoding time   : 0.000
% 0.15/0.41  #    Success case prop solver time     : 0.000
% 0.15/0.41  # Current number of processed clauses  : 40
% 0.15/0.41  #    Positive orientable unit clauses  : 36
% 0.15/0.41  #    Positive unorientable unit clauses: 0
% 0.15/0.41  #    Negative unit clauses             : 2
% 0.15/0.41  #    Non-unit-clauses                  : 2
% 0.15/0.41  # Current number of unprocessed clauses: 40
% 0.15/0.41  # ...number of literals in the above   : 115
% 0.15/0.41  # Current number of archived formulas  : 0
% 0.15/0.41  # Current number of archived clauses   : 0
% 0.15/0.41  # Clause-clause subsumption calls (NU) : 0
% 0.15/0.41  # Rec. Clause-clause subsumption calls : 0
% 0.15/0.41  # Non-unit clause-clause subsumptions  : 0
% 0.15/0.41  # Unit Clause-clause subsumption calls : 0
% 0.15/0.41  # Rewrite failures with RHS unbound    : 0
% 0.15/0.41  # BW rewrite match attempts            : 2
% 0.15/0.41  # BW rewrite match successes           : 0
% 0.15/0.41  # Condensation attempts                : 0
% 0.15/0.41  # Condensation successes               : 0
% 0.15/0.41  # Termbank termtop insertions          : 4083
% 0.15/0.41  
% 0.15/0.41  # -------------------------------------------------
% 0.15/0.41  # User time                : 0.004 s
% 0.15/0.41  # System time              : 0.002 s
% 0.15/0.41  # Total time               : 0.006 s
% 0.15/0.41  # Maximum resident set size: 2096 pages
% 0.15/0.41  
% 0.15/0.41  # -------------------------------------------------
% 0.15/0.41  # User time                : 0.006 s
% 0.15/0.41  # System time              : 0.004 s
% 0.15/0.41  # Total time               : 0.011 s
% 0.15/0.41  # Maximum resident set size: 1808 pages
% 0.15/0.41  % E---3.1 exiting
%------------------------------------------------------------------------------