TSTP Solution File: NUN056+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUN056+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n012.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 : Sun May  5 08:44:20 EDT 2024

% Result   : Theorem 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   63 (  28 unt;   0 def)
%            Number of atoms       :  219 (  61 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  228 (  72   ~;  49   |;  98   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   1 con; 0-2 aty)
%            Number of variables   :  188 ( 122   !;  66   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f114,plain,
    $false,
    inference(subsumption_resolution,[],[f113,f74]) ).

fof(f74,plain,
    ! [X0] : r2(X0,sK4(X0)),
    inference(equality_resolution,[],[f52]) ).

fof(f52,plain,
    ! [X2,X0] :
      ( r2(X0,X2)
      | sK4(X0) != X2 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X2] :
      ( ( sK4(X0) = X2
        & r2(X0,X2) )
      | ( sK4(X0) != X2
        & ~ r2(X0,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f18,f28]) ).

fof(f28,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2] :
          ( ( X1 = X2
            & r2(X0,X2) )
          | ( X1 != X2
            & ~ r2(X0,X2) ) )
     => ! [X2] :
          ( ( sK4(X0) = X2
            & r2(X0,X2) )
          | ( sK4(X0) != X2
            & ~ r2(X0,X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f18,plain,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( X1 = X2
        & r2(X0,X2) )
      | ( X1 != X2
        & ~ r2(X0,X2) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2] :
    ? [X3] :
    ! [X4] :
      ( ( X3 = X4
        & r2(X2,X4) )
      | ( X3 != X4
        & ~ r2(X2,X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.whVmPD7bKl/Vampire---4.8_20852',axiom_2) ).

fof(f113,plain,
    ~ r2(sK4(sK4(sK3)),sK4(sK4(sK4(sK3)))),
    inference(forward_demodulation,[],[f112,f93]) ).

fof(f93,plain,
    ! [X0] : sK11(X0,sK3) = X0,
    inference(unit_resulting_resolution,[],[f81,f65]) ).

fof(f65,plain,
    ! [X3,X0,X1] :
      ( sK11(X0,X1) = X3
      | ~ r3(X0,X1,X3) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1,X3] :
      ( ( sK11(X0,X1) = X3
        & r3(X0,X1,X3) )
      | ( sK11(X0,X1) != X3
        & ~ r3(X0,X1,X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f21,f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( ( X2 = X3
            & r3(X0,X1,X3) )
          | ( X2 != X3
            & ~ r3(X0,X1,X3) ) )
     => ! [X3] :
          ( ( sK11(X0,X1) = X3
            & r3(X0,X1,X3) )
          | ( sK11(X0,X1) != X3
            & ~ r3(X0,X1,X3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f21,plain,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( ( X2 = X3
        & r3(X0,X1,X3) )
      | ( X2 != X3
        & ~ r3(X0,X1,X3) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X5,X6] :
    ? [X7] :
    ! [X8] :
      ( ( X7 = X8
        & r3(X5,X6,X8) )
      | ( X7 != X8
        & ~ r3(X5,X6,X8) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.whVmPD7bKl/Vampire---4.8_20852',axiom_3) ).

fof(f81,plain,
    ! [X0] : r3(X0,sK3,X0),
    inference(backward_demodulation,[],[f77,f79]) ).

fof(f79,plain,
    ! [X0] : sK3 = sK6(X0),
    inference(unit_resulting_resolution,[],[f55,f48]) ).

fof(f48,plain,
    ! [X1] :
      ( sK3 = X1
      | ~ r1(X1) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X1] :
      ( ( sK3 = X1
        & r1(X1) )
      | ( sK3 != X1
        & ~ r1(X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f1,f26]) ).

fof(f26,plain,
    ( ? [X0] :
      ! [X1] :
        ( ( X0 = X1
          & r1(X1) )
        | ( X0 != X1
          & ~ r1(X1) ) )
   => ! [X1] :
        ( ( sK3 = X1
          & r1(X1) )
        | ( sK3 != X1
          & ~ r1(X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f1,axiom,
    ? [X0] :
    ! [X1] :
      ( ( X0 = X1
        & r1(X1) )
      | ( X0 != X1
        & ~ r1(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.whVmPD7bKl/Vampire---4.8_20852',axiom_1) ).

fof(f55,plain,
    ! [X0] : r1(sK6(X0)),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( sK5(X0) = X0
      & r3(X0,sK6(X0),sK5(X0))
      & r1(sK6(X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f19,f31,f30]) ).

fof(f30,plain,
    ! [X0] :
      ( ? [X1] :
          ( X0 = X1
          & ? [X2] :
              ( r3(X0,X2,X1)
              & r1(X2) ) )
     => ( sK5(X0) = X0
        & ? [X2] :
            ( r3(X0,X2,sK5(X0))
            & r1(X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f31,plain,
    ! [X0] :
      ( ? [X2] :
          ( r3(X0,X2,sK5(X0))
          & r1(X2) )
     => ( r3(X0,sK6(X0),sK5(X0))
        & r1(sK6(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f19,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/sandbox2/tmp/tmp.whVmPD7bKl/Vampire---4.8_20852',axiom_4a) ).

fof(f77,plain,
    ! [X0] : r3(X0,sK6(X0),X0),
    inference(forward_demodulation,[],[f56,f57]) ).

fof(f57,plain,
    ! [X0] : sK5(X0) = X0,
    inference(cnf_transformation,[],[f32]) ).

fof(f56,plain,
    ! [X0] : r3(X0,sK6(X0),sK5(X0)),
    inference(cnf_transformation,[],[f32]) ).

fof(f112,plain,
    ~ r2(sK4(sK4(sK3)),sK4(sK4(sK11(sK4(sK3),sK3)))),
    inference(forward_demodulation,[],[f111,f102]) ).

fof(f102,plain,
    ! [X0,X1] : sK11(X0,sK4(X1)) = sK4(sK11(X0,X1)),
    inference(backward_demodulation,[],[f97,f94]) ).

fof(f94,plain,
    ! [X0,X1] : sK8(X0,X1) = sK11(X0,X1),
    inference(unit_resulting_resolution,[],[f62,f65]) ).

fof(f62,plain,
    ! [X0,X1] : r3(X0,X1,sK8(X0,X1)),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( r3(X0,X1,sK8(X0,X1))
      & r2(sK8(X0,X1),sK7(X0,X1))
      & sK7(X0,X1) = sK9(X0,X1)
      & r3(X0,sK10(X0,X1),sK9(X0,X1))
      & r2(X1,sK10(X0,X1)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f20,f36,f35,f34,f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ? [X3] :
              ( r3(X0,X1,X3)
              & r2(X3,X2) )
          & ? [X4] :
              ( X2 = X4
              & ? [X5] :
                  ( r3(X0,X5,X4)
                  & r2(X1,X5) ) ) )
     => ( ? [X3] :
            ( r3(X0,X1,X3)
            & r2(X3,sK7(X0,X1)) )
        & ? [X4] :
            ( sK7(X0,X1) = X4
            & ? [X5] :
                ( r3(X0,X5,X4)
                & r2(X1,X5) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( r3(X0,X1,X3)
          & r2(X3,sK7(X0,X1)) )
     => ( r3(X0,X1,sK8(X0,X1))
        & r2(sK8(X0,X1),sK7(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( sK7(X0,X1) = X4
          & ? [X5] :
              ( r3(X0,X5,X4)
              & r2(X1,X5) ) )
     => ( sK7(X0,X1) = sK9(X0,X1)
        & ? [X5] :
            ( r3(X0,X5,sK9(X0,X1))
            & r2(X1,X5) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( r3(X0,X5,sK9(X0,X1))
          & r2(X1,X5) )
     => ( r3(X0,sK10(X0,X1),sK9(X0,X1))
        & r2(X1,sK10(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f20,plain,
    ! [X0,X1] :
    ? [X2] :
      ( ? [X3] :
          ( r3(X0,X1,X3)
          & r2(X3,X2) )
      & ? [X4] :
          ( X2 = X4
          & ? [X5] :
              ( r3(X0,X5,X4)
              & r2(X1,X5) ) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X13,X14] :
    ? [X15] :
      ( ? [X18] :
          ( r3(X13,X14,X18)
          & r2(X18,X15) )
      & ? [X16] :
          ( X15 = X16
          & ? [X17] :
              ( r3(X13,X17,X16)
              & r2(X14,X17) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.whVmPD7bKl/Vampire---4.8_20852',axiom_1a) ).

fof(f97,plain,
    ! [X0,X1] : sK4(sK8(X0,X1)) = sK11(X0,sK4(X1)),
    inference(backward_demodulation,[],[f91,f96]) ).

fof(f96,plain,
    ! [X0,X1] : sK9(X0,X1) = sK11(X0,sK4(X1)),
    inference(unit_resulting_resolution,[],[f90,f65]) ).

fof(f90,plain,
    ! [X0,X1] : r3(X0,sK4(X1),sK9(X0,X1)),
    inference(backward_demodulation,[],[f59,f87]) ).

fof(f87,plain,
    ! [X0,X1] : sK4(X0) = sK10(X1,X0),
    inference(unit_resulting_resolution,[],[f58,f53]) ).

fof(f53,plain,
    ! [X2,X0] :
      ( sK4(X0) = X2
      | ~ r2(X0,X2) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f58,plain,
    ! [X0,X1] : r2(X1,sK10(X0,X1)),
    inference(cnf_transformation,[],[f37]) ).

fof(f59,plain,
    ! [X0,X1] : r3(X0,sK10(X0,X1),sK9(X0,X1)),
    inference(cnf_transformation,[],[f37]) ).

fof(f91,plain,
    ! [X0,X1] : sK9(X0,X1) = sK4(sK8(X0,X1)),
    inference(unit_resulting_resolution,[],[f67,f53]) ).

fof(f67,plain,
    ! [X0,X1] : r2(sK8(X0,X1),sK9(X0,X1)),
    inference(definition_unfolding,[],[f61,f60]) ).

fof(f60,plain,
    ! [X0,X1] : sK7(X0,X1) = sK9(X0,X1),
    inference(cnf_transformation,[],[f37]) ).

fof(f61,plain,
    ! [X0,X1] : r2(sK8(X0,X1),sK7(X0,X1)),
    inference(cnf_transformation,[],[f37]) ).

fof(f111,plain,
    ~ r2(sK4(sK4(sK3)),sK4(sK11(sK4(sK3),sK4(sK3)))),
    inference(forward_demodulation,[],[f108,f102]) ).

fof(f108,plain,
    ~ r2(sK4(sK4(sK3)),sK11(sK4(sK3),sK4(sK4(sK3)))),
    inference(unit_resulting_resolution,[],[f71,f74,f74,f76,f74,f71,f74,f74,f71,f68]) ).

fof(f68,plain,
    ! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ r1(X9)
      | ~ r1(X3)
      | ~ r2(X2,X1)
      | ~ r2(X5,X4)
      | ~ r1(X5)
      | ~ r3(X4,X1,X6)
      | ~ r2(X9,X8)
      | ~ r2(X3,X2)
      | ~ r2(X8,X7)
      | ~ r2(X7,X6) ),
    inference(equality_resolution,[],[f40]) ).

fof(f40,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ r2(X3,X2)
      | ~ r1(X3)
      | ~ r2(X2,X1)
      | ~ r2(X5,X4)
      | ~ r1(X5)
      | ~ r3(X4,X1,X0)
      | ~ r2(X9,X8)
      | ~ r1(X9)
      | ~ r2(X8,X7)
      | ~ r2(X7,X6)
      | X0 != X6 ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ~ r2(X3,X2)
                  | ~ r1(X3) )
              | ~ r2(X2,X1) )
          | ! [X4] :
              ( ! [X5] :
                  ( ~ r2(X5,X4)
                  | ~ r1(X5) )
              | ~ r3(X4,X1,X0) ) )
      | ! [X6] :
          ( ! [X7] :
              ( ! [X8] :
                  ( ! [X9] :
                      ( ~ r2(X9,X8)
                      | ~ r1(X9) )
                  | ~ r2(X8,X7) )
              | ~ r2(X7,X6) )
          | X0 != X6 ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ~ ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( r2(X3,X2)
                    & r1(X3) )
                & r2(X2,X1) )
            & ? [X4] :
                ( ? [X5] :
                    ( r2(X5,X4)
                    & r1(X5) )
                & r3(X4,X1,X0) ) )
        & ? [X6] :
            ( ? [X7] :
                ( ? [X8] :
                    ( ? [X9] :
                        ( r2(X9,X8)
                        & r1(X9) )
                    & r2(X8,X7) )
                & r2(X7,X6) )
            & X0 = X6 ) ),
    inference(rectify,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ? [X38] :
        ( ? [X15] :
            ( ? [X18] :
                ( ? [X41] :
                    ( r2(X41,X18)
                    & r1(X41) )
                & r2(X18,X15) )
            & ? [X24] :
                ( ? [X30] :
                    ( r2(X30,X24)
                    & r1(X30) )
                & r3(X24,X15,X38) ) )
        & ? [X21] :
            ( ? [X22] :
                ( ? [X16] :
                    ( ? [X33] :
                        ( r2(X33,X16)
                        & r1(X33) )
                    & r2(X16,X22) )
                & r2(X22,X21) )
            & X21 = X38 ) ),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ? [X38] :
      ( ? [X15] :
          ( ? [X18] :
              ( ? [X41] :
                  ( r2(X41,X18)
                  & r1(X41) )
              & r2(X18,X15) )
          & ? [X24] :
              ( ? [X30] :
                  ( r2(X30,X24)
                  & r1(X30) )
              & r3(X24,X15,X38) ) )
      & ? [X21] :
          ( ? [X22] :
              ( ? [X16] :
                  ( ? [X33] :
                      ( r2(X33,X16)
                      & r1(X33) )
                  & r2(X16,X22) )
              & r2(X22,X21) )
          & X21 = X38 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.whVmPD7bKl/Vampire---4.8_20852',oneplustwoeqthree) ).

fof(f76,plain,
    ! [X0,X1] : r3(X0,X1,sK11(X0,X1)),
    inference(equality_resolution,[],[f64]) ).

fof(f64,plain,
    ! [X3,X0,X1] :
      ( r3(X0,X1,X3)
      | sK11(X0,X1) != X3 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f71,plain,
    r1(sK3),
    inference(equality_resolution,[],[f47]) ).

fof(f47,plain,
    ! [X1] :
      ( r1(X1)
      | sK3 != X1 ),
    inference(cnf_transformation,[],[f27]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : NUN056+2 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 18:51:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.whVmPD7bKl/Vampire---4.8_20852
% 0.55/0.75  % (21018)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.75  % (21020)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (21019)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.75  % (21021)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.75  % (21022)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.75  % (21023)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.75  % (21024)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.55/0.75  % (21025)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.55/0.75  % (21022)Refutation not found, incomplete strategy% (21022)------------------------------
% 0.55/0.75  % (21022)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (21022)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  % (21023)Refutation not found, incomplete strategy% (21023)------------------------------
% 0.55/0.75  % (21023)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (21023)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (21023)Memory used [KB]: 1058
% 0.55/0.75  % (21023)Time elapsed: 0.003 s
% 0.55/0.75  % (21023)Instructions burned: 4 (million)
% 0.55/0.75  
% 0.55/0.75  % (21022)Memory used [KB]: 1067
% 0.55/0.75  % (21022)Time elapsed: 0.003 s
% 0.55/0.75  % (21022)Instructions burned: 4 (million)
% 0.55/0.75  % (21023)------------------------------
% 0.55/0.75  % (21023)------------------------------
% 0.55/0.75  % (21022)------------------------------
% 0.55/0.75  % (21022)------------------------------
% 0.55/0.75  % (21018)Refutation not found, incomplete strategy% (21018)------------------------------
% 0.55/0.75  % (21018)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (21018)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (21018)Memory used [KB]: 1072
% 0.55/0.75  % (21018)Time elapsed: 0.004 s
% 0.55/0.75  % (21018)Instructions burned: 7 (million)
% 0.55/0.75  % (21018)------------------------------
% 0.55/0.75  % (21018)------------------------------
% 0.55/0.75  % (21021)First to succeed.
% 0.55/0.75  % (21021)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21013"
% 0.55/0.75  % (21021)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Theorem for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (21021)------------------------------
% 0.55/0.75  % (21021)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (21021)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (21021)Memory used [KB]: 1079
% 0.55/0.75  % (21021)Time elapsed: 0.005 s
% 0.55/0.75  % (21021)Instructions burned: 7 (million)
% 0.55/0.75  % (21013)Success in time 0.388 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------