TSTP Solution File: LCL548+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL548+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n024.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 : Wed Aug 31 17:48:41 EDT 2022

% Result   : Theorem 4.35s 0.97s
% Output   : Refutation 4.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  143 (  59 unt;   0 def)
%            Number of atoms       :  249 (  34 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  183 (  77   ~;  65   |;   2   &)
%                                         (  15 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :   18 (  16 usr;  16 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-2 aty)
%            Number of variables   :  170 ( 168   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4198,plain,
    $false,
    inference(subsumption_resolution,[],[f4197,f321]) ).

fof(f321,plain,
    ! [X0] : is_a_theorem(implies(X0,X0)),
    inference(resolution,[],[f295,f256]) ).

fof(f256,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    inference(subsumption_resolution,[],[f234,f228]) ).

fof(f228,plain,
    implies_1,
    inference(cnf_transformation,[],[f37]) ).

fof(f37,axiom,
    implies_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_implies_1) ).

fof(f234,plain,
    ! [X0,X1] :
      ( ~ implies_1
      | is_a_theorem(implies(X0,implies(X1,X0))) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f186,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
    | ~ implies_1 ),
    inference(rectify,[],[f157]) ).

fof(f157,plain,
    ( ! [X1,X0] : is_a_theorem(implies(X1,implies(X0,X1)))
    | ~ implies_1 ),
    inference(ennf_transformation,[],[f142]) ).

fof(f142,plain,
    ( implies_1
   => ! [X1,X0] : is_a_theorem(implies(X1,implies(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f112]) ).

fof(f112,plain,
    ( ! [X1,X0] : is_a_theorem(implies(X1,implies(X0,X1)))
  <=> implies_1 ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ( ! [X1,X0] : is_a_theorem(implies(X0,implies(X1,X0)))
  <=> implies_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_1) ).

fof(f295,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X0,X1)))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f294,f267]) ).

fof(f267,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    inference(subsumption_resolution,[],[f215,f245]) ).

fof(f245,plain,
    modus_ponens,
    inference(cnf_transformation,[],[f35]) ).

fof(f35,axiom,
    modus_ponens,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_modus_ponens) ).

fof(f215,plain,
    ! [X0,X1] :
      ( ~ modus_ponens
      | is_a_theorem(X1)
      | ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f151,plain,
    ( ~ modus_ponens
    | ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,X1))
        | is_a_theorem(X1)
        | ~ is_a_theorem(X0) ) ),
    inference(flattening,[],[f150]) ).

fof(f150,plain,
    ( ! [X1,X0] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ modus_ponens ),
    inference(ennf_transformation,[],[f145]) ).

fof(f145,plain,
    ( modus_ponens
   => ! [X1,X0] :
        ( ( is_a_theorem(X0)
          & is_a_theorem(implies(X0,X1)) )
       => is_a_theorem(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f1,axiom,
    ( ! [X1,X0] :
        ( ( is_a_theorem(X0)
          & is_a_theorem(implies(X0,X1)) )
       => is_a_theorem(X1) )
  <=> modus_ponens ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modus_ponens) ).

fof(f294,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X1,implies(X1,X0)),implies(X1,X0))),
    inference(subsumption_resolution,[],[f196,f225]) ).

fof(f225,plain,
    implies_2,
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    implies_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_implies_2) ).

fof(f196,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X1,implies(X1,X0)),implies(X1,X0)))
      | ~ implies_2 ),
    inference(cnf_transformation,[],[f178]) ).

fof(f178,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(X1,implies(X1,X0)),implies(X1,X0)))
    | ~ implies_2 ),
    inference(rectify,[],[f158]) ).

fof(f158,plain,
    ( ! [X1,X0] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
    | ~ implies_2 ),
    inference(ennf_transformation,[],[f141]) ).

fof(f141,plain,
    ( implies_2
   => ! [X1,X0] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f5]) ).

fof(f5,axiom,
    ( ! [X1,X0] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
  <=> implies_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_2) ).

fof(f4197,plain,
    ~ is_a_theorem(implies(not(necessarily(not(sK0))),not(necessarily(not(sK0))))),
    inference(forward_demodulation,[],[f4028,f3631]) ).

fof(f3631,plain,
    ! [X321] : necessarily(necessarily(X321)) = necessarily(X321),
    inference(subsumption_resolution,[],[f3615,f251]) ).

fof(f251,plain,
    ! [X0] : is_a_theorem(implies(necessarily(X0),X0)),
    inference(subsumption_resolution,[],[f235,f201]) ).

fof(f201,plain,
    axiom_M,
    inference(cnf_transformation,[],[f80]) ).

fof(f80,axiom,
    axiom_M,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km4b_axiom_M) ).

fof(f235,plain,
    ! [X0] :
      ( ~ axiom_M
      | is_a_theorem(implies(necessarily(X0),X0)) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f156,plain,
    ( ~ axiom_M
    | ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
    inference(ennf_transformation,[],[f128]) ).

fof(f128,plain,
    ( axiom_M
   => ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
    inference(unused_predicate_definition_removal,[],[f55]) ).

fof(f55,axiom,
    ( ! [X0] : is_a_theorem(implies(necessarily(X0),X0))
  <=> axiom_M ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_M) ).

fof(f3615,plain,
    ! [X321] :
      ( necessarily(necessarily(X321)) = necessarily(X321)
      | ~ is_a_theorem(implies(necessarily(necessarily(X321)),necessarily(X321))) ),
    inference(resolution,[],[f345,f264]) ).

fof(f264,plain,
    ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))),
    inference(subsumption_resolution,[],[f244,f247]) ).

fof(f247,plain,
    axiom_4,
    inference(cnf_transformation,[],[f81]) ).

fof(f81,axiom,
    axiom_4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km4b_axiom_4) ).

fof(f244,plain,
    ! [X0] :
      ( is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0))))
      | ~ axiom_4 ),
    inference(cnf_transformation,[],[f173]) ).

fof(f173,plain,
    ( ~ axiom_4
    | ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
    inference(ennf_transformation,[],[f127]) ).

fof(f127,plain,
    ( axiom_4
   => ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
    inference(unused_predicate_definition_removal,[],[f56]) ).

fof(f56,axiom,
    ( axiom_4
  <=> ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f345,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(implies(X1,X0))
      | X0 = X1 ),
    inference(resolution,[],[f344,f286]) ).

fof(f286,plain,
    ! [X0,X1] :
      ( is_a_theorem(and(X0,X1))
      | ~ is_a_theorem(X0)
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f271,f267]) ).

fof(f271,plain,
    ! [X6,X7] :
      ( is_a_theorem(implies(X7,and(X6,X7)))
      | ~ is_a_theorem(X6) ),
    inference(resolution,[],[f267,f266]) ).

fof(f266,plain,
    ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,and(X1,X0)))),
    inference(subsumption_resolution,[],[f208,f197]) ).

fof(f197,plain,
    and_3,
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    and_3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_and_3) ).

fof(f208,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X1,implies(X0,and(X1,X0))))
      | ~ and_3 ),
    inference(cnf_transformation,[],[f182]) ).

fof(f182,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,and(X1,X0))))
    | ~ and_3 ),
    inference(rectify,[],[f166]) ).

fof(f166,plain,
    ( ! [X1,X0] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
    | ~ and_3 ),
    inference(ennf_transformation,[],[f137]) ).

fof(f137,plain,
    ( and_3
   => ! [X1,X0] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
    inference(unused_predicate_definition_removal,[],[f9]) ).

fof(f9,axiom,
    ( and_3
  <=> ! [X1,X0] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_3) ).

fof(f344,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(and(implies(X1,X0),implies(X0,X1)))
      | X0 = X1 ),
    inference(backward_demodulation,[],[f258,f339]) ).

fof(f339,plain,
    ! [X0,X1] : equiv(X1,X0) = and(implies(X1,X0),implies(X0,X1)),
    inference(subsumption_resolution,[],[f240,f226]) ).

fof(f226,plain,
    op_equiv,
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    op_equiv,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_equiv) ).

fof(f240,plain,
    ! [X0,X1] :
      ( ~ op_equiv
      | equiv(X1,X0) = and(implies(X1,X0),implies(X0,X1)) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f188,plain,
    ( ! [X0,X1] : equiv(X1,X0) = and(implies(X1,X0),implies(X0,X1))
    | ~ op_equiv ),
    inference(rectify,[],[f174]) ).

fof(f174,plain,
    ( ! [X1,X0] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
    | ~ op_equiv ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ( op_equiv
   => ! [X1,X0] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_equiv) ).

fof(f258,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(equiv(X1,X0))
      | X0 = X1 ),
    inference(subsumption_resolution,[],[f239,f227]) ).

fof(f227,plain,
    substitution_of_equivalents,
    inference(cnf_transformation,[],[f49]) ).

fof(f49,axiom,
    substitution_of_equivalents,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',substitution_of_equivalents) ).

fof(f239,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(equiv(X1,X0))
      | ~ substitution_of_equivalents
      | X0 = X1 ),
    inference(cnf_transformation,[],[f176]) ).

fof(f176,plain,
    ( ! [X0,X1] :
        ( X0 = X1
        | ~ is_a_theorem(equiv(X1,X0)) )
    | ~ substitution_of_equivalents ),
    inference(ennf_transformation,[],[f144]) ).

fof(f144,plain,
    ( substitution_of_equivalents
   => ! [X0,X1] :
        ( is_a_theorem(equiv(X1,X0))
       => X0 = X1 ) ),
    inference(unused_predicate_definition_removal,[],[f110]) ).

fof(f110,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(equiv(X1,X0))
       => X0 = X1 )
  <=> substitution_of_equivalents ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ( ! [X1,X0] :
        ( is_a_theorem(equiv(X0,X1))
       => X0 = X1 )
  <=> substitution_of_equivalents ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',substitution_of_equivalents) ).

fof(f4028,plain,
    ~ is_a_theorem(implies(not(necessarily(necessarily(not(sK0)))),not(necessarily(not(sK0))))),
    inference(backward_demodulation,[],[f282,f3948]) ).

fof(f3948,plain,
    ! [X1] : not(not(X1)) = X1,
    inference(subsumption_resolution,[],[f3931,f3816]) ).

fof(f3816,plain,
    ! [X367] : is_a_theorem(implies(not(not(X367)),X367)),
    inference(superposition,[],[f834,f3630]) ).

fof(f3630,plain,
    ! [X32] : and(X32,X32) = X32,
    inference(subsumption_resolution,[],[f3525,f252]) ).

fof(f252,plain,
    ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X0)),
    inference(subsumption_resolution,[],[f193,f222]) ).

fof(f222,plain,
    and_2,
    inference(cnf_transformation,[],[f41]) ).

fof(f41,axiom,
    and_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_and_2) ).

fof(f193,plain,
    ! [X0,X1] :
      ( ~ and_2
      | is_a_theorem(implies(and(X1,X0),X0)) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f177,plain,
    ( ~ and_2
    | ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X0)) ),
    inference(ennf_transformation,[],[f138]) ).

fof(f138,plain,
    ( and_2
   => ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X0)) ),
    inference(unused_predicate_definition_removal,[],[f122]) ).

fof(f122,plain,
    ( ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X0))
  <=> and_2 ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ( and_2
  <=> ! [X1,X0] : is_a_theorem(implies(and(X0,X1),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_2) ).

fof(f3525,plain,
    ! [X32] :
      ( and(X32,X32) = X32
      | ~ is_a_theorem(implies(and(X32,X32),X32)) ),
    inference(resolution,[],[f345,f322]) ).

fof(f322,plain,
    ! [X1] : is_a_theorem(implies(X1,and(X1,X1))),
    inference(resolution,[],[f295,f266]) ).

fof(f834,plain,
    ! [X6,X7] : is_a_theorem(implies(and(X6,not(not(X7))),X7)),
    inference(resolution,[],[f336,f256]) ).

fof(f336,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(not(X2),implies(X0,X1)))
      | is_a_theorem(implies(and(X0,not(X1)),X2)) ),
    inference(superposition,[],[f299,f288]) ).

fof(f288,plain,
    ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))),
    inference(subsumption_resolution,[],[f248,f198]) ).

fof(f198,plain,
    op_implies_and,
    inference(cnf_transformation,[],[f33]) ).

fof(f33,axiom,
    op_implies_and,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_implies_and) ).

fof(f248,plain,
    ! [X0,X1] :
      ( implies(X0,X1) = not(and(X0,not(X1)))
      | ~ op_implies_and ),
    inference(cnf_transformation,[],[f191]) ).

fof(f191,plain,
    ( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
    | ~ op_implies_and ),
    inference(rectify,[],[f152]) ).

fof(f152,plain,
    ( ! [X1,X0] : implies(X1,X0) = not(and(X1,not(X0)))
    | ~ op_implies_and ),
    inference(ennf_transformation,[],[f100]) ).

fof(f100,plain,
    ( op_implies_and
   => ! [X1,X0] : implies(X1,X0) = not(and(X1,not(X0))) ),
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ( op_implies_and
   => ! [X1,X0] : implies(X0,X1) = not(and(X0,not(X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_implies_and) ).

fof(f299,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(not(X0),not(X1)))
      | is_a_theorem(implies(X1,X0)) ),
    inference(resolution,[],[f298,f267]) ).

fof(f298,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))),
    inference(subsumption_resolution,[],[f217,f194]) ).

fof(f194,plain,
    modus_tollens,
    inference(cnf_transformation,[],[f36]) ).

fof(f36,axiom,
    modus_tollens,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_modus_tollens) ).

fof(f217,plain,
    ! [X0,X1] :
      ( ~ modus_tollens
      | is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f184,plain,
    ( ~ modus_tollens
    | ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
    inference(rectify,[],[f169]) ).

fof(f169,plain,
    ( ~ modus_tollens
    | ! [X1,X0] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))) ),
    inference(ennf_transformation,[],[f143]) ).

fof(f143,plain,
    ( modus_tollens
   => ! [X1,X0] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))) ),
    inference(unused_predicate_definition_removal,[],[f115]) ).

fof(f115,plain,
    ( modus_tollens
  <=> ! [X1,X0] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ( modus_tollens
  <=> ! [X1,X0] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modus_tollens) ).

fof(f3931,plain,
    ! [X1] :
      ( not(not(X1)) = X1
      | ~ is_a_theorem(implies(not(not(X1)),X1)) ),
    inference(resolution,[],[f3868,f345]) ).

fof(f3868,plain,
    ! [X0] : is_a_theorem(implies(X0,not(not(X0)))),
    inference(resolution,[],[f3816,f299]) ).

fof(f282,plain,
    ~ is_a_theorem(implies(not(necessarily(not(not(necessarily(not(sK0)))))),not(necessarily(not(sK0))))),
    inference(resolution,[],[f281,f250]) ).

fof(f250,plain,
    ! [X0] :
      ( is_a_theorem(necessarily(X0))
      | ~ is_a_theorem(X0) ),
    inference(subsumption_resolution,[],[f214,f233]) ).

fof(f233,plain,
    necessitation,
    inference(cnf_transformation,[],[f78]) ).

fof(f78,axiom,
    necessitation,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km4b_necessitation) ).

fof(f214,plain,
    ! [X0] :
      ( ~ necessitation
      | ~ is_a_theorem(X0)
      | is_a_theorem(necessarily(X0)) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ( ! [X0] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(necessarily(X0)) )
    | ~ necessitation ),
    inference(ennf_transformation,[],[f130]) ).

fof(f130,plain,
    ( necessitation
   => ! [X0] :
        ( is_a_theorem(X0)
       => is_a_theorem(necessarily(X0)) ) ),
    inference(unused_predicate_definition_removal,[],[f50]) ).

fof(f50,axiom,
    ( ! [X0] :
        ( is_a_theorem(X0)
       => is_a_theorem(necessarily(X0)) )
  <=> necessitation ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',necessitation) ).

fof(f281,plain,
    ~ is_a_theorem(necessarily(implies(not(necessarily(not(not(necessarily(not(sK0)))))),not(necessarily(not(sK0)))))),
    inference(backward_demodulation,[],[f263,f279]) ).

fof(f279,plain,
    ! [X0,X1] : strict_implies(X1,X0) = necessarily(implies(X1,X0)),
    inference(subsumption_resolution,[],[f237,f220]) ).

fof(f220,plain,
    op_strict_implies,
    inference(cnf_transformation,[],[f86]) ).

fof(f86,axiom,
    op_strict_implies,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_strict_implies) ).

fof(f237,plain,
    ! [X0,X1] :
      ( ~ op_strict_implies
      | strict_implies(X1,X0) = necessarily(implies(X1,X0)) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f187,plain,
    ( ~ op_strict_implies
    | ! [X0,X1] : strict_implies(X1,X0) = necessarily(implies(X1,X0)) ),
    inference(rectify,[],[f159]) ).

fof(f159,plain,
    ( ~ op_strict_implies
    | ! [X1,X0] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,axiom,
    ( op_strict_implies
   => ! [X1,X0] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_strict_implies) ).

fof(f263,plain,
    ~ is_a_theorem(strict_implies(not(necessarily(not(not(necessarily(not(sK0)))))),not(necessarily(not(sK0))))),
    inference(forward_demodulation,[],[f262,f259]) ).

fof(f259,plain,
    ! [X0] : possibly(X0) = not(necessarily(not(X0))),
    inference(subsumption_resolution,[],[f242,f209]) ).

fof(f209,plain,
    op_possibly,
    inference(cnf_transformation,[],[f83]) ).

fof(f83,axiom,
    op_possibly,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_possibly) ).

fof(f242,plain,
    ! [X0] :
      ( possibly(X0) = not(necessarily(not(X0)))
      | ~ op_possibly ),
    inference(cnf_transformation,[],[f171]) ).

fof(f171,plain,
    ( ~ op_possibly
    | ! [X0] : possibly(X0) = not(necessarily(not(X0))) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,axiom,
    ( op_possibly
   => ! [X0] : possibly(X0) = not(necessarily(not(X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_possibly) ).

fof(f262,plain,
    ~ is_a_theorem(strict_implies(possibly(not(necessarily(not(sK0)))),not(necessarily(not(sK0))))),
    inference(forward_demodulation,[],[f261,f259]) ).

fof(f261,plain,
    ~ is_a_theorem(strict_implies(possibly(possibly(sK0)),possibly(sK0))),
    inference(subsumption_resolution,[],[f243,f219]) ).

fof(f219,plain,
    ~ axiom_m9,
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ~ axiom_m9,
    inference(flattening,[],[f90]) ).

fof(f90,negated_conjecture,
    ~ axiom_m9,
    inference(negated_conjecture,[],[f89]) ).

fof(f89,conjecture,
    axiom_m9,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_m6s3m9b_axiom_m9) ).

fof(f243,plain,
    ( ~ is_a_theorem(strict_implies(possibly(possibly(sK0)),possibly(sK0)))
    | axiom_m9 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f190,plain,
    ( axiom_m9
    | ~ is_a_theorem(strict_implies(possibly(possibly(sK0)),possibly(sK0))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f170,f189]) ).

fof(f189,plain,
    ( ? [X0] : ~ is_a_theorem(strict_implies(possibly(possibly(X0)),possibly(X0)))
   => ~ is_a_theorem(strict_implies(possibly(possibly(sK0)),possibly(sK0))) ),
    introduced(choice_axiom,[]) ).

fof(f170,plain,
    ( axiom_m9
    | ? [X0] : ~ is_a_theorem(strict_implies(possibly(possibly(X0)),possibly(X0))) ),
    inference(ennf_transformation,[],[f125]) ).

fof(f125,plain,
    ( ! [X0] : is_a_theorem(strict_implies(possibly(possibly(X0)),possibly(X0)))
   => axiom_m9 ),
    inference(unused_predicate_definition_removal,[],[f71]) ).

fof(f71,axiom,
    ( axiom_m9
  <=> ! [X0] : is_a_theorem(strict_implies(possibly(possibly(X0)),possibly(X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_m9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07  % Problem    : LCL548+1 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.07  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.07/0.26  % Computer : n024.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit   : 300
% 0.07/0.26  % WCLimit    : 300
% 0.07/0.26  % DateTime   : Tue Aug 30 02:10:34 EDT 2022
% 0.07/0.26  % CPUTime    : 
% 0.11/0.35  % (8801)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.11/0.36  % (8821)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.11/0.37  % (8805)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.11/0.38  % (8812)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.11/0.38  % (8800)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.11/0.39  % (8799)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.11/0.39  % (8807)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.11/0.39  % (8816)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.11/0.40  % (8803)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.11/0.40  % (8796)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.11/0.40  % (8815)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.11/0.40  % (8802)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.11/0.41  % (8804)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.41  TRYING [1]
% 0.11/0.41  TRYING [2]
% 0.11/0.41  % (8804)Instruction limit reached!
% 0.11/0.41  % (8804)------------------------------
% 0.11/0.41  % (8804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.41  % (8804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.41  % (8804)Termination reason: Unknown
% 0.11/0.41  % (8804)Termination phase: Preprocessing 3
% 0.11/0.41  
% 0.11/0.41  % (8804)Memory used [KB]: 1023
% 0.11/0.41  % (8804)Time elapsed: 0.004 s
% 0.11/0.41  % (8804)Instructions burned: 2 (million)
% 0.11/0.41  % (8804)------------------------------
% 0.11/0.41  % (8804)------------------------------
% 0.11/0.41  % (8803)Instruction limit reached!
% 0.11/0.41  % (8803)------------------------------
% 0.11/0.41  % (8803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.41  % (8803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.41  % (8803)Termination reason: Unknown
% 0.11/0.41  % (8803)Termination phase: Saturation
% 0.11/0.41  
% 0.11/0.41  % (8803)Memory used [KB]: 5756
% 0.11/0.41  % (8803)Time elapsed: 0.071 s
% 0.11/0.41  % (8803)Instructions burned: 7 (million)
% 0.11/0.41  % (8803)------------------------------
% 0.11/0.41  % (8803)------------------------------
% 0.11/0.41  % (8798)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.11/0.41  % (8824)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.11/0.42  % (8826)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.11/0.42  % (8806)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.11/0.42  % (8809)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.11/0.42  % (8818)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.11/0.42  % (8797)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.11/0.42  TRYING [1]
% 0.11/0.42  TRYING [2]
% 0.11/0.42  % (8825)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.11/0.43  % (8817)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.11/0.43  % (8811)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.11/0.43  % (8823)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.11/0.43  TRYING [3]
% 0.11/0.43  TRYING [3]
% 0.11/0.43  % (8822)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.11/0.43  % (8819)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.11/0.44  % (8820)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.11/0.44  % (8814)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.11/0.44  % (8813)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.11/0.45  TRYING [1]
% 0.11/0.45  % (8810)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.11/0.46  TRYING [2]
% 0.11/0.46  TRYING [3]
% 0.11/0.46  % (8802)Instruction limit reached!
% 0.11/0.46  % (8802)------------------------------
% 0.11/0.46  % (8802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.46  % (8800)Instruction limit reached!
% 0.11/0.46  % (8800)------------------------------
% 0.11/0.46  % (8800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.47  % (8801)Instruction limit reached!
% 0.11/0.47  % (8801)------------------------------
% 0.11/0.47  % (8801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.47  % (8801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.47  % (8801)Termination reason: Unknown
% 0.11/0.47  % (8801)Termination phase: Saturation
% 0.11/0.47  
% 0.11/0.47  % (8801)Memory used [KB]: 6396
% 0.11/0.47  % (8801)Time elapsed: 0.147 s
% 0.11/0.47  % (8801)Instructions burned: 50 (million)
% 0.11/0.47  % (8801)------------------------------
% 0.11/0.47  % (8801)------------------------------
% 0.11/0.48  % (8802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.48  % (8802)Termination reason: Unknown
% 0.11/0.48  % (8802)Termination phase: Finite model building SAT solving
% 0.11/0.48  
% 0.11/0.48  % (8802)Memory used [KB]: 7036
% 0.11/0.48  % (8802)Time elapsed: 0.137 s
% 0.11/0.48  % (8802)Instructions burned: 51 (million)
% 0.11/0.48  % (8802)------------------------------
% 0.11/0.48  % (8802)------------------------------
% 0.11/0.48  % (8798)Instruction limit reached!
% 0.11/0.48  % (8798)------------------------------
% 0.11/0.48  % (8798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.48  % (8798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.48  % (8798)Termination reason: Unknown
% 0.11/0.48  % (8798)Termination phase: Saturation
% 0.11/0.48  
% 0.11/0.48  % (8798)Memory used [KB]: 1918
% 0.11/0.48  % (8798)Time elapsed: 0.166 s
% 0.11/0.48  % (8798)Instructions burned: 38 (million)
% 0.11/0.48  % (8798)------------------------------
% 0.11/0.48  % (8798)------------------------------
% 0.11/0.48  % (8805)Instruction limit reached!
% 0.11/0.48  % (8805)------------------------------
% 0.11/0.48  % (8805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.48  % (8805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.48  % (8805)Termination reason: Unknown
% 0.11/0.48  % (8805)Termination phase: Saturation
% 0.11/0.48  
% 0.11/0.48  % (8805)Memory used [KB]: 2174
% 0.11/0.48  % (8805)Time elapsed: 0.171 s
% 0.11/0.48  % (8805)Instructions burned: 52 (million)
% 0.11/0.48  % (8805)------------------------------
% 0.11/0.48  % (8805)------------------------------
% 0.11/0.49  % (8800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.49  % (8800)Termination reason: Unknown
% 0.11/0.49  % (8800)Termination phase: Saturation
% 0.11/0.49  
% 0.11/0.49  % (8800)Memory used [KB]: 6780
% 0.11/0.49  % (8800)Time elapsed: 0.169 s
% 0.11/0.49  % (8800)Instructions burned: 52 (million)
% 0.11/0.49  % (8800)------------------------------
% 0.11/0.49  % (8800)------------------------------
% 0.11/0.50  % (8814)Instruction limit reached!
% 0.11/0.50  % (8814)------------------------------
% 0.11/0.50  % (8814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.50  % (8814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.50  % (8814)Termination reason: Unknown
% 0.11/0.50  % (8814)Termination phase: Finite model building SAT solving
% 0.11/0.50  
% 0.11/0.50  % (8814)Memory used [KB]: 7291
% 0.11/0.50  % (8814)Time elapsed: 0.169 s
% 0.11/0.50  % (8814)Instructions burned: 60 (million)
% 0.11/0.50  % (8814)------------------------------
% 0.11/0.50  % (8814)------------------------------
% 0.11/0.50  % (8806)Instruction limit reached!
% 0.11/0.50  % (8806)------------------------------
% 0.11/0.50  % (8806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.50  % (8806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.50  % (8806)Termination reason: Unknown
% 0.11/0.50  % (8806)Termination phase: Saturation
% 0.11/0.50  
% 0.11/0.50  % (8806)Memory used [KB]: 6908
% 0.11/0.50  % (8806)Time elapsed: 0.196 s
% 0.11/0.50  % (8806)Instructions burned: 51 (million)
% 0.11/0.50  % (8806)------------------------------
% 0.11/0.50  % (8806)------------------------------
% 0.11/0.50  % (8812)Instruction limit reached!
% 0.11/0.50  % (8812)------------------------------
% 0.11/0.50  % (8812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.50  % (8812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.50  % (8812)Termination reason: Unknown
% 0.11/0.50  % (8812)Termination phase: Saturation
% 0.11/0.50  
% 0.11/0.50  % (8812)Memory used [KB]: 2302
% 0.11/0.50  % (8812)Time elapsed: 0.171 s
% 0.11/0.50  % (8812)Instructions burned: 76 (million)
% 0.11/0.50  % (8812)------------------------------
% 0.11/0.50  % (8812)------------------------------
% 0.11/0.50  % (8799)Instruction limit reached!
% 0.11/0.50  % (8799)------------------------------
% 0.11/0.50  % (8799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.50  % (8799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.50  % (8799)Termination reason: Unknown
% 0.11/0.50  % (8799)Termination phase: Saturation
% 0.11/0.50  
% 0.11/0.50  % (8799)Memory used [KB]: 6780
% 0.11/0.50  % (8799)Time elapsed: 0.183 s
% 0.11/0.50  % (8799)Instructions burned: 52 (million)
% 0.11/0.50  % (8799)------------------------------
% 0.11/0.50  % (8799)------------------------------
% 0.11/0.51  TRYING [4]
% 0.11/0.51  % (8797)Instruction limit reached!
% 0.11/0.51  % (8797)------------------------------
% 0.11/0.51  % (8797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.51  % (8797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.51  % (8797)Termination reason: Unknown
% 0.11/0.51  % (8797)Termination phase: Saturation
% 0.11/0.51  
% 0.11/0.51  % (8797)Memory used [KB]: 6780
% 0.11/0.51  % (8797)Time elapsed: 0.187 s
% 0.11/0.51  % (8797)Instructions burned: 51 (million)
% 0.11/0.51  % (8797)------------------------------
% 0.11/0.51  % (8797)------------------------------
% 0.11/0.54  % (8912)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 0.11/0.54  % (8811)Instruction limit reached!
% 0.11/0.54  % (8811)------------------------------
% 0.11/0.54  % (8811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.55  % (8816)Instruction limit reached!
% 0.11/0.55  % (8816)------------------------------
% 0.11/0.55  % (8816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.56  % (8811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.56  % (8811)Termination reason: Unknown
% 0.11/0.56  % (8811)Termination phase: Saturation
% 0.11/0.56  
% 0.11/0.56  % (8811)Memory used [KB]: 7036
% 0.11/0.56  % (8811)Time elapsed: 0.040 s
% 0.11/0.56  % (8811)Instructions burned: 69 (million)
% 0.11/0.56  % (8811)------------------------------
% 0.11/0.56  % (8811)------------------------------
% 0.11/0.56  % (8910)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 0.11/0.56  % (8816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.56  % (8816)Termination reason: Unknown
% 0.11/0.56  % (8816)Termination phase: Saturation
% 0.11/0.56  
% 0.11/0.56  % (8816)Memory used [KB]: 2814
% 0.11/0.56  % (8816)Time elapsed: 0.247 s
% 0.11/0.56  % (8816)Instructions burned: 101 (million)
% 0.11/0.56  % (8816)------------------------------
% 0.11/0.56  % (8816)------------------------------
% 0.11/0.56  % (8807)Instruction limit reached!
% 0.11/0.56  % (8807)------------------------------
% 0.11/0.56  % (8807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.56  % (8807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.56  % (8807)Termination reason: Unknown
% 0.11/0.56  % (8807)Termination phase: Saturation
% 0.11/0.56  
% 0.11/0.56  % (8807)Memory used [KB]: 7675
% 0.11/0.56  % (8807)Time elapsed: 0.264 s
% 0.11/0.56  % (8807)Instructions burned: 100 (million)
% 0.11/0.56  % (8807)------------------------------
% 0.11/0.56  % (8807)------------------------------
% 0.11/0.57  % (8823)Instruction limit reached!
% 0.11/0.57  % (8823)------------------------------
% 0.11/0.57  % (8823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.57  % (8823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.57  % (8823)Termination reason: Unknown
% 2.29/0.57  % (8823)Termination phase: Saturation
% 2.29/0.57  
% 2.29/0.57  % (8823)Memory used [KB]: 7036
% 2.29/0.57  % (8823)Time elapsed: 0.038 s
% 2.29/0.57  % (8823)Instructions burned: 70 (million)
% 2.29/0.57  % (8823)------------------------------
% 2.29/0.57  % (8823)------------------------------
% 2.29/0.58  % (8815)Instruction limit reached!
% 2.29/0.58  % (8815)------------------------------
% 2.29/0.58  % (8815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.60  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.38/0.61  % (8815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.61  % (8815)Termination reason: Unknown
% 2.38/0.61  % (8815)Termination phase: Saturation
% 2.38/0.61  
% 2.38/0.61  % (8815)Memory used [KB]: 7675
% 2.38/0.61  % (8815)Time elapsed: 0.286 s
% 2.38/0.61  % (8815)Instructions burned: 100 (million)
% 2.38/0.61  % (8815)------------------------------
% 2.38/0.61  % (8815)------------------------------
% 2.38/0.61  % (8923)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.38/0.61  % (8924)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.38/0.61  % (8813)Instruction limit reached!
% 2.38/0.61  % (8813)------------------------------
% 2.38/0.61  % (8813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.61  % (8813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.61  % (8813)Termination reason: Unknown
% 2.38/0.61  % (8813)Termination phase: Saturation
% 2.38/0.61  
% 2.38/0.61  % (8813)Memory used [KB]: 6908
% 2.38/0.61  % (8813)Time elapsed: 0.292 s
% 2.38/0.61  % (8813)Instructions burned: 99 (million)
% 2.38/0.61  % (8813)------------------------------
% 2.38/0.61  % (8813)------------------------------
% 2.38/0.61  % (8940)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.38/0.62  % (8928)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.38/0.62  % (8931)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.38/0.62  % (8930)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.38/0.62  % (8809)Instruction limit reached!
% 2.38/0.62  % (8809)------------------------------
% 2.38/0.62  % (8809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.62  % (8809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.62  % (8809)Termination reason: Unknown
% 2.38/0.62  % (8809)Termination phase: Saturation
% 2.38/0.62  
% 2.38/0.62  % (8809)Memory used [KB]: 7291
% 2.38/0.62  % (8809)Time elapsed: 0.315 s
% 2.38/0.62  % (8809)Instructions burned: 102 (million)
% 2.38/0.62  % (8809)------------------------------
% 2.38/0.62  % (8809)------------------------------
% 2.38/0.62  % (8938)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.74/0.64  % (8810)Instruction limit reached!
% 2.74/0.64  % (8810)------------------------------
% 2.74/0.64  % (8810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.64  % (8810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.64  % (8810)Termination reason: Unknown
% 2.74/0.64  % (8810)Termination phase: Saturation
% 2.74/0.64  
% 2.74/0.64  % (8810)Memory used [KB]: 7547
% 2.74/0.64  % (8810)Time elapsed: 0.328 s
% 2.74/0.64  % (8810)Instructions burned: 100 (million)
% 2.74/0.64  % (8810)------------------------------
% 2.74/0.64  % (8810)------------------------------
% 2.74/0.64  % (8946)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.85/0.65  % (8942)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.85/0.65  % (8939)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.85/0.69  % (8818)Instruction limit reached!
% 2.85/0.69  % (8818)------------------------------
% 2.85/0.69  % (8818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.69  % (8818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.69  % (8818)Termination reason: Unknown
% 2.85/0.69  % (8818)Termination phase: Saturation
% 2.85/0.69  
% 2.85/0.69  % (8818)Memory used [KB]: 8059
% 2.85/0.69  % (8818)Time elapsed: 0.373 s
% 2.85/0.69  % (8818)Instructions burned: 138 (million)
% 2.85/0.69  % (8818)------------------------------
% 2.85/0.69  % (8818)------------------------------
% 2.85/0.69  % (8959)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.85/0.69  % (8960)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4958Mi)
% 2.85/0.70  % (8961)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4959Mi)
% 2.85/0.71  % (8824)Instruction limit reached!
% 2.85/0.71  % (8824)------------------------------
% 2.85/0.71  % (8824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.24/0.72  % (8824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.24/0.72  % (8824)Termination reason: Unknown
% 3.24/0.72  % (8824)Termination phase: Saturation
% 3.24/0.72  
% 3.24/0.72  % (8824)Memory used [KB]: 4349
% 3.24/0.72  % (8824)Time elapsed: 0.395 s
% 3.24/0.72  % (8824)Instructions burned: 178 (million)
% 3.24/0.72  % (8824)------------------------------
% 3.24/0.72  % (8824)------------------------------
% 3.24/0.72  % (8975)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 3.24/0.72  TRYING [5]
% 3.24/0.73  % (8966)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4756Mi)
% 3.24/0.74  % (8938)Instruction limit reached!
% 3.24/0.74  % (8938)------------------------------
% 3.24/0.74  % (8938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.24/0.74  % (8938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.24/0.74  % (8938)Termination reason: Unknown
% 3.24/0.74  % (8938)Termination phase: Saturation
% 3.24/0.74  
% 3.24/0.74  % (8938)Memory used [KB]: 7036
% 3.24/0.74  % (8938)Time elapsed: 0.046 s
% 3.24/0.74  % (8938)Instructions burned: 69 (million)
% 3.24/0.74  % (8938)------------------------------
% 3.24/0.74  % (8938)------------------------------
% 3.24/0.74  % (8817)Instruction limit reached!
% 3.24/0.74  % (8817)------------------------------
% 3.24/0.74  % (8817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.24/0.75  % (8979)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.24/0.76  % (8817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.24/0.76  % (8817)Termination reason: Unknown
% 3.24/0.76  % (8817)Termination phase: Saturation
% 3.24/0.76  
% 3.24/0.76  % (8817)Memory used [KB]: 8571
% 3.24/0.76  % (8817)Time elapsed: 0.417 s
% 3.24/0.76  % (8817)Instructions burned: 176 (million)
% 3.24/0.76  % (8817)------------------------------
% 3.24/0.76  % (8817)------------------------------
% 3.24/0.76  % (8987)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.24/0.76  % (8923)Instruction limit reached!
% 3.24/0.76  % (8923)------------------------------
% 3.24/0.76  % (8923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.24/0.76  % (8923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.24/0.76  % (8923)Termination reason: Unknown
% 3.24/0.76  % (8923)Termination phase: Saturation
% 3.24/0.76  
% 3.24/0.76  % (8923)Memory used [KB]: 7675
% 3.24/0.76  % (8923)Time elapsed: 0.232 s
% 3.24/0.76  % (8923)Instructions burned: 90 (million)
% 3.24/0.76  % (8923)------------------------------
% 3.24/0.76  % (8923)------------------------------
% 3.54/0.77  % (8997)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.54/0.82  % (9015)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.54/0.82  % (8942)Instruction limit reached!
% 3.54/0.82  % (8942)------------------------------
% 3.54/0.82  % (8942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.54/0.83  % (8942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.54/0.83  % (8942)Termination reason: Unknown
% 3.54/0.83  % (8942)Termination phase: Saturation
% 3.54/0.83  
% 3.54/0.83  % (8942)Memory used [KB]: 7419
% 3.54/0.83  % (8942)Time elapsed: 0.281 s
% 3.54/0.83  % (8942)Instructions burned: 91 (million)
% 3.54/0.83  % (8942)------------------------------
% 3.54/0.83  % (8942)------------------------------
% 3.90/0.85  % (9017)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.90/0.86  % (9020)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.90/0.88  % (9018)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 4.01/0.89  % (8979)Instruction limit reached!
% 4.01/0.89  % (8979)------------------------------
% 4.01/0.89  % (8979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.01/0.89  % (8979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.01/0.89  % (8979)Termination reason: Unknown
% 4.01/0.89  % (8979)Termination phase: Saturation
% 4.01/0.89  
% 4.01/0.89  % (8979)Memory used [KB]: 7036
% 4.01/0.89  % (8979)Time elapsed: 0.037 s
% 4.01/0.89  % (8979)Instructions burned: 70 (million)
% 4.01/0.89  % (8979)------------------------------
% 4.01/0.89  % (8979)------------------------------
% 4.01/0.90  % (9019)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 4.01/0.91  % (8912)Instruction limit reached!
% 4.01/0.91  % (8912)------------------------------
% 4.01/0.91  % (8912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.01/0.93  % (8912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.01/0.93  % (8912)Termination reason: Unknown
% 4.01/0.93  % (8912)Termination phase: Saturation
% 4.01/0.93  
% 4.01/0.93  % (8912)Memory used [KB]: 4605
% 4.01/0.93  % (8912)Time elapsed: 0.456 s
% 4.01/0.93  % (8912)Instructions burned: 212 (million)
% 4.01/0.93  % (8912)------------------------------
% 4.01/0.93  % (8912)------------------------------
% 4.30/0.94  % (9021)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 4.35/0.97  % (8819)First to succeed.
% 4.35/0.97  % (8819)Refutation found. Thanks to Tanya!
% 4.35/0.97  % SZS status Theorem for theBenchmark
% 4.35/0.97  % SZS output start Proof for theBenchmark
% See solution above
% 4.35/0.97  % (8819)------------------------------
% 4.35/0.97  % (8819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.35/0.97  % (8819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.35/0.97  % (8819)Termination reason: Refutation
% 4.35/0.97  
% 4.35/0.97  % (8819)Memory used [KB]: 5628
% 4.35/0.97  % (8819)Time elapsed: 0.644 s
% 4.35/0.97  % (8819)Instructions burned: 333 (million)
% 4.35/0.97  % (8819)------------------------------
% 4.35/0.97  % (8819)------------------------------
% 4.35/0.97  % (8793)Success in time 0.708 s
%------------------------------------------------------------------------------