TSTP Solution File: NUN076+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUN076+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% 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 : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:07:44 EDT 2022

% Result   : Theorem 0.18s 0.54s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   57 (  19 unt;   0 def)
%            Number of atoms       :  209 (  60 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  207 (  55   ~;  39   |; 102   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   1 con; 0-2 aty)
%            Number of variables   :  177 ( 100   !;  77   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f135,plain,
    $false,
    inference(unit_resulting_resolution,[],[f105,f103,f69,f122,f131,f110]) ).

fof(f110,plain,
    ! [X2,X0,X6,X7,X4,X5] :
      ( ~ r4(X5,X0,X4)
      | ~ r2(X6,X5)
      | ~ r2(X7,X6)
      | ~ r1(X7)
      | ~ r3(X0,X2,X4) ),
    inference(equality_resolution,[],[f109]) ).

fof(f109,plain,
    ! [X2,X3,X0,X6,X7,X4,X5] :
      ( ~ r3(X0,X2,X3)
      | X3 != X4
      | ~ r4(X5,X0,X4)
      | ~ r2(X7,X6)
      | ~ r1(X7)
      | ~ r2(X6,X5) ),
    inference(equality_resolution,[],[f98]) ).

fof(f98,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ r3(X0,X2,X3)
      | X1 != X3
      | X1 != X4
      | ~ r4(X5,X0,X4)
      | ~ r2(X7,X6)
      | ~ r1(X7)
      | ~ r2(X6,X5) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ~ r3(X0,X2,X3)
          | X1 != X3 )
      | ! [X4] :
          ( X1 != X4
          | ! [X5] :
              ( ~ r4(X5,X0,X4)
              | ! [X6] :
                  ( ! [X7] :
                      ( ~ r2(X7,X6)
                      | ~ r1(X7) )
                  | ~ r2(X6,X5) ) ) ) ),
    inference(rectify,[],[f25]) ).

fof(f25,plain,
    ! [X1,X2,X0] :
      ( ! [X7] :
          ( ~ r3(X1,X0,X7)
          | X2 != X7 )
      | ! [X3] :
          ( X2 != X3
          | ! [X4] :
              ( ~ r4(X4,X1,X3)
              | ! [X5] :
                  ( ! [X6] :
                      ( ~ r2(X6,X5)
                      | ~ r1(X6) )
                  | ~ r2(X5,X4) ) ) ) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,plain,
    ~ ? [X2,X1,X0] :
        ( ? [X7] :
            ( r3(X1,X0,X7)
            & X2 = X7 )
        & ? [X3] :
            ( X2 = X3
            & ? [X4] :
                ( ? [X5] :
                    ( ? [X6] :
                        ( r1(X6)
                        & r2(X6,X5) )
                    & r2(X5,X4) )
                & r4(X4,X1,X3) ) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ? [X22,X21,X38] :
        ( ? [X15] :
            ( X15 = X38
            & ? [X24] :
                ( r4(X24,X21,X15)
                & ? [X18] :
                    ( ? [X33] :
                        ( r1(X33)
                        & r2(X33,X18) )
                    & r2(X18,X24) ) ) )
        & ? [X16] :
            ( X16 = X38
            & r3(X21,X22,X16) ) ),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ? [X22,X21,X38] :
      ( ? [X15] :
          ( X15 = X38
          & ? [X24] :
              ( r4(X24,X21,X15)
              & ? [X18] :
                  ( ? [X33] :
                      ( r1(X33)
                      & r2(X33,X18) )
                  & r2(X18,X24) ) ) )
      & ? [X16] :
          ( X16 = X38
          & r3(X21,X22,X16) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thereexistsanevennumber) ).

fof(f131,plain,
    ! [X0] : r4(X0,sK18,sK18),
    inference(forward_demodulation,[],[f130,f114]) ).

fof(f114,plain,
    ! [X2] : sK16(X2) = sK18,
    inference(resolution,[],[f91,f88]) ).

fof(f88,plain,
    ! [X0] : r1(sK16(X0)),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( r4(X0,sK16(X0),sK15(X0))
      & r1(sK16(X0))
      & r1(sK17(X0))
      & sK17(X0) = sK15(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17])],[f49,f52,f51,f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( r4(X0,X2,X1)
              & r1(X2) )
          & ? [X3] :
              ( r1(X3)
              & X1 = X3 ) )
     => ( ? [X2] :
            ( r4(X0,X2,sK15(X0))
            & r1(X2) )
        & ? [X3] :
            ( r1(X3)
            & sK15(X0) = X3 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f51,plain,
    ! [X0] :
      ( ? [X2] :
          ( r4(X0,X2,sK15(X0))
          & r1(X2) )
     => ( r4(X0,sK16(X0),sK15(X0))
        & r1(sK16(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f52,plain,
    ! [X0] :
      ( ? [X3] :
          ( r1(X3)
          & sK15(X0) = X3 )
     => ( r1(sK17(X0))
        & sK17(X0) = sK15(X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f49,plain,
    ! [X0] :
    ? [X1] :
      ( ? [X2] :
          ( r4(X0,X2,X1)
          & r1(X2) )
      & ? [X3] :
          ( r1(X3)
          & X1 = X3 ) ),
    inference(rectify,[],[f18]) ).

fof(f18,plain,
    ! [X0] :
    ? [X1] :
      ( ? [X3] :
          ( r4(X0,X3,X1)
          & r1(X3) )
      & ? [X2] :
          ( r1(X2)
          & X1 = X2 ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X32] :
    ? [X33] :
      ( ? [X35] :
          ( r1(X35)
          & X33 = X35 )
      & ? [X34] :
          ( r1(X34)
          & r4(X32,X34,X33) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5a) ).

fof(f91,plain,
    ! [X1] :
      ( ~ r1(X1)
      | sK18 = X1 ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X1] :
      ( ( r1(X1)
        & sK18 = X1 )
      | ( ~ r1(X1)
        & sK18 != X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f1,f54]) ).

fof(f54,plain,
    ( ? [X0] :
      ! [X1] :
        ( ( r1(X1)
          & X0 = X1 )
        | ( ~ r1(X1)
          & X0 != X1 ) )
   => ! [X1] :
        ( ( r1(X1)
          & sK18 = X1 )
        | ( ~ r1(X1)
          & sK18 != X1 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f1,axiom,
    ? [X0] :
    ! [X1] :
      ( ( r1(X1)
        & X0 = X1 )
      | ( ~ r1(X1)
        & X0 != X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f130,plain,
    ! [X0] : r4(X0,sK16(X0),sK18),
    inference(forward_demodulation,[],[f89,f113]) ).

fof(f113,plain,
    ! [X1] : sK15(X1) = sK18,
    inference(resolution,[],[f91,f111]) ).

fof(f111,plain,
    ! [X0] : r1(sK15(X0)),
    inference(backward_demodulation,[],[f87,f86]) ).

fof(f86,plain,
    ! [X0] : sK17(X0) = sK15(X0),
    inference(cnf_transformation,[],[f53]) ).

fof(f87,plain,
    ! [X0] : r1(sK17(X0)),
    inference(cnf_transformation,[],[f53]) ).

fof(f89,plain,
    ! [X0] : r4(X0,sK16(X0),sK15(X0)),
    inference(cnf_transformation,[],[f53]) ).

fof(f122,plain,
    ! [X0] : r3(X0,sK18,X0),
    inference(forward_demodulation,[],[f120,f112]) ).

fof(f112,plain,
    ! [X0] : sK18 = sK2(X0),
    inference(resolution,[],[f91,f64]) ).

fof(f64,plain,
    ! [X0] : r1(sK2(X0)),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0] :
      ( sK1(X0) = X0
      & r3(X0,sK2(X0),sK1(X0))
      & r1(sK2(X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f24,f29,f28]) ).

fof(f28,plain,
    ! [X0] :
      ( ? [X1] :
          ( X0 = X1
          & ? [X2] :
              ( r3(X0,X2,X1)
              & r1(X2) ) )
     => ( sK1(X0) = X0
        & ? [X2] :
            ( r3(X0,X2,sK1(X0))
            & r1(X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ! [X0] :
      ( ? [X2] :
          ( r3(X0,X2,sK1(X0))
          & r1(X2) )
     => ( r3(X0,sK2(X0),sK1(X0))
        & r1(sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f24,plain,
    ! [X0] :
    ? [X1] :
      ( X0 = X1
      & ? [X2] :
          ( r3(X0,X2,X1)
          & r1(X2) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X29] :
    ? [X30] :
      ( X29 = X30
      & ? [X31] :
          ( r3(X29,X31,X30)
          & r1(X31) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4a) ).

fof(f120,plain,
    ! [X0] : r3(X0,sK2(X0),X0),
    inference(forward_demodulation,[],[f65,f66]) ).

fof(f66,plain,
    ! [X0] : sK1(X0) = X0,
    inference(cnf_transformation,[],[f30]) ).

fof(f65,plain,
    ! [X0] : r3(X0,sK2(X0),sK1(X0)),
    inference(cnf_transformation,[],[f30]) ).

fof(f69,plain,
    ! [X0,X1] : r2(X0,sK6(X0,X1)),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( r3(sK4(X0,X1),X1,sK3(X0,X1))
      & r4(X1,X0,sK4(X0,X1))
      & r2(X0,sK6(X0,X1))
      & r4(X1,sK6(X0,X1),sK5(X0,X1))
      & sK5(X0,X1) = sK3(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f31,f35,f34,f33,f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ? [X3] :
              ( r3(X3,X1,X2)
              & r4(X1,X0,X3) )
          & ? [X4] :
              ( ? [X5] :
                  ( r2(X0,X5)
                  & r4(X1,X5,X4) )
              & X2 = X4 ) )
     => ( ? [X3] :
            ( r3(X3,X1,sK3(X0,X1))
            & r4(X1,X0,X3) )
        & ? [X4] :
            ( ? [X5] :
                ( r2(X0,X5)
                & r4(X1,X5,X4) )
            & sK3(X0,X1) = X4 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( r3(X3,X1,sK3(X0,X1))
          & r4(X1,X0,X3) )
     => ( r3(sK4(X0,X1),X1,sK3(X0,X1))
        & r4(X1,X0,sK4(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( r2(X0,X5)
              & r4(X1,X5,X4) )
          & sK3(X0,X1) = X4 )
     => ( ? [X5] :
            ( r2(X0,X5)
            & r4(X1,X5,sK5(X0,X1)) )
        & sK5(X0,X1) = sK3(X0,X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( r2(X0,X5)
          & r4(X1,X5,sK5(X0,X1)) )
     => ( r2(X0,sK6(X0,X1))
        & r4(X1,sK6(X0,X1),sK5(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f31,plain,
    ! [X0,X1] :
    ? [X2] :
      ( ? [X3] :
          ( r3(X3,X1,X2)
          & r4(X1,X0,X3) )
      & ? [X4] :
          ( ? [X5] :
              ( r2(X0,X5)
              & r4(X1,X5,X4) )
          & X2 = X4 ) ),
    inference(rectify,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1] :
    ? [X2] :
      ( ? [X5] :
          ( r3(X5,X1,X2)
          & r4(X1,X0,X5) )
      & ? [X3] :
          ( ? [X4] :
              ( r2(X0,X4)
              & r4(X1,X4,X3) )
          & X2 = X3 ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X20,X19] :
    ? [X21] :
      ( ? [X22] :
          ( ? [X23] :
              ( r2(X20,X23)
              & r4(X19,X23,X22) )
          & X21 = X22 )
      & ? [X24] :
          ( r3(X24,X19,X21)
          & r4(X19,X20,X24) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2a) ).

fof(f103,plain,
    ! [X0] : r2(X0,sK11(X0)),
    inference(equality_resolution,[],[f81]) ).

fof(f81,plain,
    ! [X2,X0] :
      ( sK11(X0) != X2
      | r2(X0,X2) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X2] :
      ( ( sK11(X0) != X2
        & ~ r2(X0,X2) )
      | ( r2(X0,X2)
        & sK11(X0) = X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f20,f44]) ).

fof(f44,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2] :
          ( ( X1 != X2
            & ~ r2(X0,X2) )
          | ( r2(X0,X2)
            & X1 = X2 ) )
     => ! [X2] :
          ( ( sK11(X0) != X2
            & ~ r2(X0,X2) )
          | ( r2(X0,X2)
            & sK11(X0) = X2 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f20,plain,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( X1 != X2
        & ~ r2(X0,X2) )
      | ( r2(X0,X2)
        & X1 = X2 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2] :
    ? [X3] :
    ! [X4] :
      ( ( X3 = X4
        & r2(X2,X4) )
      | ( ~ r2(X2,X4)
        & X3 != X4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f105,plain,
    r1(sK18),
    inference(equality_resolution,[],[f92]) ).

fof(f92,plain,
    ! [X1] :
      ( r1(X1)
      | sK18 != X1 ),
    inference(cnf_transformation,[],[f55]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : NUN076+2 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 09:43:20 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (25078)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.48  % (25083)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.48  % (25078)Refutation not found, incomplete strategy% (25078)------------------------------
% 0.18/0.48  % (25078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (25091)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.49  % (25103)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.49  % (25102)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.18/0.49  % (25077)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.49  % (25091)Instruction limit reached!
% 0.18/0.49  % (25091)------------------------------
% 0.18/0.49  % (25091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (25091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (25091)Termination reason: Unknown
% 0.18/0.49  % (25091)Termination phase: Saturation
% 0.18/0.49  
% 0.18/0.49  % (25091)Memory used [KB]: 6012
% 0.18/0.49  % (25091)Time elapsed: 0.102 s
% 0.18/0.49  % (25091)Instructions burned: 3 (million)
% 0.18/0.49  % (25091)------------------------------
% 0.18/0.49  % (25091)------------------------------
% 0.18/0.49  % (25078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (25078)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.49  
% 0.18/0.49  % (25078)Memory used [KB]: 6012
% 0.18/0.49  % (25078)Time elapsed: 0.096 s
% 0.18/0.49  % (25078)Instructions burned: 4 (million)
% 0.18/0.49  % (25078)------------------------------
% 0.18/0.49  % (25078)------------------------------
% 0.18/0.49  % (25082)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.49  % (25079)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.49  % (25086)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.18/0.49  % (25079)Instruction limit reached!
% 0.18/0.49  % (25079)------------------------------
% 0.18/0.49  % (25079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (25079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (25079)Termination reason: Unknown
% 0.18/0.49  % (25079)Termination phase: Saturation
% 0.18/0.49  
% 0.18/0.49  % (25079)Memory used [KB]: 6012
% 0.18/0.49  % (25079)Time elapsed: 0.114 s
% 0.18/0.49  % (25079)Instructions burned: 3 (million)
% 0.18/0.49  % (25079)------------------------------
% 0.18/0.49  % (25079)------------------------------
% 0.18/0.49  % (25099)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.49  % (25092)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50  % (25095)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50  % (25081)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.50  % (25095)Instruction limit reached!
% 0.18/0.50  % (25095)------------------------------
% 0.18/0.50  % (25095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (25095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (25095)Termination reason: Unknown
% 0.18/0.50  % (25095)Termination phase: Property scanning
% 0.18/0.50  
% 0.18/0.50  % (25095)Memory used [KB]: 1407
% 0.18/0.50  % (25095)Time elapsed: 0.002 s
% 0.18/0.50  % (25095)Instructions burned: 3 (million)
% 0.18/0.50  % (25095)------------------------------
% 0.18/0.50  % (25095)------------------------------
% 0.18/0.50  % (25080)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (25087)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.18/0.50  % (25087)Refutation not found, incomplete strategy% (25087)------------------------------
% 0.18/0.50  % (25087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (25087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (25087)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50  
% 0.18/0.50  % (25087)Memory used [KB]: 6012
% 0.18/0.50  % (25087)Time elapsed: 0.127 s
% 0.18/0.50  % (25087)Instructions burned: 3 (million)
% 0.18/0.50  % (25087)------------------------------
% 0.18/0.50  % (25087)------------------------------
% 0.18/0.51  % (25084)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.51  % (25093)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51  % (25098)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.51  % (25104)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.51  % (25082)Refutation not found, incomplete strategy% (25082)------------------------------
% 0.18/0.51  % (25082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (25082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (25082)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (25082)Memory used [KB]: 1535
% 0.18/0.51  % (25082)Time elapsed: 0.128 s
% 0.18/0.51  % (25082)Instructions burned: 3 (million)
% 0.18/0.51  % (25082)------------------------------
% 0.18/0.51  % (25082)------------------------------
% 0.18/0.51  % (25100)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.18/0.51  % (25104)First to succeed.
% 0.18/0.51  % (25105)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.51  % (25100)Refutation not found, incomplete strategy% (25100)------------------------------
% 0.18/0.51  % (25100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (25100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (25100)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (25100)Memory used [KB]: 1535
% 0.18/0.51  % (25100)Time elapsed: 0.091 s
% 0.18/0.51  % (25100)Instructions burned: 3 (million)
% 0.18/0.51  % (25100)------------------------------
% 0.18/0.51  % (25100)------------------------------
% 0.18/0.51  % (25106)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.18/0.52  % (25103)Refutation not found, incomplete strategy% (25103)------------------------------
% 0.18/0.52  % (25103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (25105)Refutation not found, incomplete strategy% (25105)------------------------------
% 0.18/0.52  % (25105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (25105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (25105)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (25105)Memory used [KB]: 6012
% 0.18/0.52  % (25105)Time elapsed: 0.128 s
% 0.18/0.52  % (25105)Instructions burned: 4 (million)
% 0.18/0.52  % (25105)------------------------------
% 0.18/0.52  % (25105)------------------------------
% 0.18/0.52  % (25103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (25103)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (25103)Memory used [KB]: 6140
% 0.18/0.52  % (25103)Time elapsed: 0.116 s
% 0.18/0.52  % (25103)Instructions burned: 4 (million)
% 0.18/0.52  % (25103)------------------------------
% 0.18/0.52  % (25103)------------------------------
% 0.18/0.52  % (25092)Instruction limit reached!
% 0.18/0.52  % (25092)------------------------------
% 0.18/0.52  % (25092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (25101)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52  % (25088)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.52  % (25090)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (25097)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.18/0.52  % (25092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (25092)Termination reason: Unknown
% 0.18/0.52  % (25092)Termination phase: Saturation
% 0.18/0.52  % (25085)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.52  
% 0.18/0.52  % (25092)Memory used [KB]: 6140
% 0.18/0.52  % (25092)Time elapsed: 0.104 s
% 0.18/0.52  % (25092)Instructions burned: 9 (million)
% 0.18/0.52  % (25092)------------------------------
% 0.18/0.52  % (25092)------------------------------
% 0.18/0.52  % (25101)Refutation not found, incomplete strategy% (25101)------------------------------
% 0.18/0.52  % (25101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (25101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (25101)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (25101)Memory used [KB]: 6012
% 0.18/0.52  % (25101)Time elapsed: 0.118 s
% 0.18/0.52  % (25101)Instructions burned: 3 (million)
% 0.18/0.52  % (25101)------------------------------
% 0.18/0.52  % (25101)------------------------------
% 0.18/0.52  % (25089)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.53  % (25089)Refutation not found, incomplete strategy% (25089)------------------------------
% 0.18/0.53  % (25089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (25089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (25089)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (25089)Memory used [KB]: 1535
% 0.18/0.53  % (25089)Time elapsed: 0.140 s
% 0.18/0.53  % (25089)Instructions burned: 2 (million)
% 0.18/0.53  % (25089)------------------------------
% 0.18/0.53  % (25089)------------------------------
% 0.18/0.53  % (25096)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.53  % (25086)Refutation not found, incomplete strategy% (25086)------------------------------
% 0.18/0.53  % (25086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (25086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (25086)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (25086)Memory used [KB]: 6780
% 0.18/0.53  % (25086)Time elapsed: 0.138 s
% 0.18/0.53  % (25086)Instructions burned: 31 (million)
% 0.18/0.53  % (25086)------------------------------
% 0.18/0.53  % (25086)------------------------------
% 0.18/0.53  % (25094)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.53  % (25094)Instruction limit reached!
% 0.18/0.53  % (25094)------------------------------
% 0.18/0.53  % (25094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (25094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (25094)Termination reason: Unknown
% 0.18/0.53  % (25094)Termination phase: Finite model building preprocessing
% 0.18/0.53  
% 0.18/0.53  % (25094)Memory used [KB]: 1535
% 0.18/0.53  % (25094)Time elapsed: 0.003 s
% 0.18/0.53  % (25094)Instructions burned: 3 (million)
% 0.18/0.53  % (25094)------------------------------
% 0.18/0.53  % (25094)------------------------------
% 0.18/0.53  % (25096)Instruction limit reached!
% 0.18/0.53  % (25096)------------------------------
% 0.18/0.53  % (25096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (25096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (25096)Termination reason: Unknown
% 0.18/0.53  % (25096)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (25096)Memory used [KB]: 6140
% 0.18/0.53  % (25096)Time elapsed: 0.154 s
% 0.18/0.53  % (25096)Instructions burned: 11 (million)
% 0.18/0.53  % (25096)------------------------------
% 0.18/0.53  % (25096)------------------------------
% 0.18/0.53  % (25093)Refutation not found, incomplete strategy% (25093)------------------------------
% 0.18/0.53  % (25093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (25093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (25093)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (25093)Memory used [KB]: 6268
% 0.18/0.53  % (25093)Time elapsed: 0.155 s
% 0.18/0.53  % (25093)Instructions burned: 8 (million)
% 0.18/0.53  % (25093)------------------------------
% 0.18/0.53  % (25093)------------------------------
% 0.18/0.53  % (25083)Instruction limit reached!
% 0.18/0.53  % (25083)------------------------------
% 0.18/0.53  % (25083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (25083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (25083)Termination reason: Unknown
% 0.18/0.53  % (25083)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (25083)Memory used [KB]: 6268
% 0.18/0.53  % (25083)Time elapsed: 0.147 s
% 0.18/0.53  % (25083)Instructions burned: 39 (million)
% 0.18/0.53  % (25083)------------------------------
% 0.18/0.53  % (25083)------------------------------
% 0.18/0.54  % (25081)Also succeeded, but the first one will report.
% 0.18/0.54  % (25104)Refutation found. Thanks to Tanya!
% 0.18/0.54  % SZS status Theorem for theBenchmark
% 0.18/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.54  % (25104)------------------------------
% 0.18/0.54  % (25104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (25104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (25104)Termination reason: Refutation
% 0.18/0.54  
% 0.18/0.54  % (25104)Memory used [KB]: 6012
% 0.18/0.54  % (25104)Time elapsed: 0.131 s
% 0.18/0.54  % (25104)Instructions burned: 4 (million)
% 0.18/0.54  % (25104)------------------------------
% 0.18/0.54  % (25104)------------------------------
% 0.18/0.54  % (25076)Success in time 0.195 s
%------------------------------------------------------------------------------