TSTP Solution File: DAT097_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : DAT097_1 : TPTP v8.1.0. Released v6.1.0.
% 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 : n029.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 16:04:53 EDT 2022

% Result   : Theorem 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   73 (  20 unt;  16 typ;   0 def)
%            Number of atoms       :  156 (  92 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  146 (  47   ~;  53   |;  33   &)
%                                         (   5 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number arithmetic     :  186 (   8 atm;  31 fun;  46 num; 101 var)
%            Number of types       :    3 (   1 usr;   1 ari)
%            Number of type conns  :   25 (  14   >;  11   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  13 usr;   4 con; 0-2 aty)
%            Number of variables   :  198 ( 174   !;  24   ?; 198   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    list: $tType ).

tff(func_def_0,type,
    nil: list ).

tff(func_def_1,type,
    cons: ( $int * list ) > list ).

tff(func_def_2,type,
    head: list > $int ).

tff(func_def_3,type,
    tail: list > list ).

tff(func_def_5,type,
    length: list > $int ).

tff(func_def_8,type,
    count: ( $int * list ) > $int ).

tff(func_def_9,type,
    append: ( list * list ) > list ).

tff(func_def_11,type,
    sK0: ( list * $int ) > $int ).

tff(func_def_12,type,
    sK1: ( list * $int ) > list ).

tff(func_def_13,type,
    sK2: ( list * $int ) > list ).

tff(func_def_14,type,
    sK3: ( list * $int ) > $int ).

tff(func_def_15,type,
    sK4: ( list * $int ) > $int ).

tff(func_def_16,type,
    sK5: ( list * $int ) > list ).

tff(pred_def_1,type,
    in: ( $int * list ) > $o ).

tff(pred_def_2,type,
    inRange: ( $int * list ) > $o ).

tff(f161,plain,
    $false,
    inference(evaluation,[],[f160]) ).

tff(f160,plain,
    1 = $sum(2,0),
    inference(forward_demodulation,[],[f159,f78]) ).

tff(f78,plain,
    ! [X0: $int] : ( 0 = count(X0,nil) ),
    inference(cnf_transformation,[],[f9]) ).

tff(f9,axiom,
    ! [X0: $int] : ( 0 = count(X0,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a) ).

tff(f159,plain,
    ! [X0: $int] : ( 1 = $sum(2,count(X0,nil)) ),
    inference(evaluation,[],[f157]) ).

tff(f157,plain,
    ! [X0: $int] : ( 1 = $sum(1,$sum(count(X0,nil),1)) ),
    inference(superposition,[],[f156,f93]) ).

tff(f93,plain,
    ! [X2: list,X1: $int] : ( $sum(count(X1,X2),1) = count(X1,cons(X1,X2)) ),
    inference(equality_resolution,[],[f79]) ).

tff(f79,plain,
    ! [X2: list,X0: $int,X1: $int] :
      ( ( X0 != X1 )
      | ( count(X0,cons(X1,X2)) = $sum(count(X0,X2),1) ) ),
    inference(cnf_transformation,[],[f54]) ).

tff(f54,plain,
    ! [X0: $int,X1: $int,X2: list] :
      ( ( X0 != X1 )
      | ( count(X0,cons(X1,X2)) = $sum(count(X0,X2),1) ) ),
    inference(rectify,[],[f45]) ).

tff(f45,plain,
    ! [X0: $int,X3: $int,X2: list] :
      ( ( X0 != X3 )
      | ( $sum(count(X0,X2),1) = count(X0,cons(X3,X2)) ) ),
    inference(ennf_transformation,[],[f37]) ).

tff(f37,plain,
    ! [X2: list,X3: $int,X0: $int] :
      ( ( X0 = X3 )
     => ( $sum(count(X0,X2),1) = count(X0,cons(X3,X2)) ) ),
    inference(rectify,[],[f11]) ).

tff(f11,axiom,
    ! [X0: $int,X5: $int,X4: list,X3: $int] :
      ( ( X0 = X3 )
     => ( count(X0,cons(X3,X4)) = $sum(count(X0,X4),1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_4) ).

tff(f156,plain,
    ! [X0: $int,X1: $int] : ( 1 = $sum(1,count(X1,cons(X0,nil))) ),
    inference(evaluation,[],[f155]) ).

tff(f155,plain,
    ! [X0: $int,X1: $int] : ( $sum(1,0) = $sum(1,count(X1,cons(X0,nil))) ),
    inference(forward_demodulation,[],[f153,f78]) ).

tff(f153,plain,
    ! [X0: $int,X1: $int] : ( $sum(1,count(X1,nil)) = $sum(1,count(X1,cons(X0,nil))) ),
    inference(superposition,[],[f145,f76]) ).

tff(f76,plain,
    ! [X0: list] : ( append(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f33]) ).

tff(f33,plain,
    ! [X0: list] : ( append(nil,X0) = X0 ),
    inference(rectify,[],[f12]) ).

tff(f12,axiom,
    ! [X1: list] : ( append(nil,X1) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_6) ).

tff(f145,plain,
    ! [X2: list,X0: $int,X1: $int] : ( $sum(1,count(X1,X2)) = $sum(1,count(X1,append(X2,cons(X0,nil)))) ),
    inference(evaluation,[],[f144]) ).

tff(f144,plain,
    ! [X2: list,X0: $int,X1: $int] :
      ( ( $sum(1,count(X1,X2)) = $sum(1,count(X1,append(X2,cons(X0,nil)))) )
      | $less(0,0) ),
    inference(superposition,[],[f141,f78]) ).

tff(f141,plain,
    ! [X2: $int,X3: list,X0: $int,X1: list] :
      ( $less(0,count(X2,X3))
      | ( $sum(1,count(X0,X1)) = $sum(1,count(X0,append(X1,cons(X2,X3)))) ) ),
    inference(resolution,[],[f116,f67]) ).

tff(f67,plain,
    ! [X0: list,X1: $int] :
      ( ~ in(X1,X0)
      | $less(0,count(X1,X0)) ),
    inference(cnf_transformation,[],[f48]) ).

tff(f48,plain,
    ! [X0: list,X1: $int] :
      ( ( $less(0,count(X1,X0))
        | ~ in(X1,X0) )
      & ( in(X1,X0)
        | ~ $less(0,count(X1,X0)) ) ),
    inference(nnf_transformation,[],[f34]) ).

tff(f34,plain,
    ! [X0: list,X1: $int] :
      ( $less(0,count(X1,X0))
    <=> in(X1,X0) ),
    inference(rectify,[],[f18]) ).

tff(f18,plain,
    ! [X1: list,X5: $int] :
      ( $less(0,count(X5,X1))
    <=> in(X5,X1) ),
    inference(theory_normalization,[],[f14]) ).

tff(f14,axiom,
    ! [X1: list,X5: $int] :
      ( $greater(count(X5,X1),0)
    <=> in(X5,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_8) ).

tff(f116,plain,
    ! [X2: $int,X3: list,X0: $int,X1: list] :
      ( in(X2,X3)
      | ( $sum(1,count(X0,X1)) = $sum(1,count(X0,append(X1,cons(X2,X3)))) ) ),
    inference(forward_demodulation,[],[f115,f19]) ).

tff(f19,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_140,[]) ).

tff(f115,plain,
    ! [X2: $int,X3: list,X0: $int,X1: list] :
      ( ( $sum(count(X0,X1),1) = $sum(1,count(X0,append(X1,cons(X2,X3)))) )
      | in(X2,X3) ),
    inference(forward_demodulation,[],[f114,f19]) ).

tff(f114,plain,
    ! [X2: $int,X3: list,X0: $int,X1: list] :
      ( ( $sum(count(X0,X1),1) = $sum(count(X0,append(X1,cons(X2,X3))),1) )
      | in(X2,X3) ),
    inference(forward_demodulation,[],[f113,f93]) ).

tff(f113,plain,
    ! [X2: $int,X3: list,X0: $int,X1: list] :
      ( in(X2,X3)
      | ( $sum(count(X0,X1),1) = count(X0,cons(X0,append(X1,cons(X2,X3)))) ) ),
    inference(forward_demodulation,[],[f112,f90]) ).

tff(f90,plain,
    ! [X2: list,X0: list,X1: $int] : ( cons(X1,append(X2,X0)) = append(cons(X1,X2),X0) ),
    inference(cnf_transformation,[],[f64]) ).

tff(f64,plain,
    ! [X0: list,X1: $int,X2: list] : ( cons(X1,append(X2,X0)) = append(cons(X1,X2),X0) ),
    inference(rectify,[],[f39]) ).

tff(f39,plain,
    ! [X1: list,X2: $int,X0: list] : ( append(cons(X2,X0),X1) = cons(X2,append(X0,X1)) ),
    inference(rectify,[],[f13]) ).

tff(f13,axiom,
    ! [X0: list,X1: list,X6: $int] : ( append(cons(X6,X0),X1) = cons(X6,append(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_7) ).

tff(f112,plain,
    ! [X2: $int,X3: list,X0: $int,X1: list] :
      ( ( $sum(count(X0,X1),1) = count(X0,append(cons(X0,X1),cons(X2,X3))) )
      | in(X2,X3) ),
    inference(forward_demodulation,[],[f111,f93]) ).

tff(f111,plain,
    ! [X2: $int,X3: list,X0: $int,X1: list] :
      ( in(X2,X3)
      | ( count(X0,append(cons(X0,X1),cons(X2,X3))) = count(X0,cons(X0,X1)) ) ),
    inference(resolution,[],[f96,f97]) ).

tff(f97,plain,
    ! [X2: list,X0: $int,X1: list,X4: $int] :
      ( ~ in(X0,X2)
      | ( count(X0,append(X2,cons(X4,X1))) = count(X0,X2) )
      | in(X4,X1) ),
    inference(equality_resolution,[],[f87]) ).

tff(f87,plain,
    ! [X2: list,X3: list,X0: $int,X1: list,X4: $int] :
      ( ( count(X0,X3) = count(X0,X2) )
      | ~ in(X0,X2)
      | in(X4,X1)
      | ( append(X2,cons(X4,X1)) != X3 ) ),
    inference(cnf_transformation,[],[f62]) ).

tff(f62,plain,
    ! [X0: $int,X1: list,X2: list,X3: list,X4: $int] :
      ( ( count(X0,X3) = count(X0,X2) )
      | ~ in(X0,X2)
      | in(X4,X1)
      | ( append(X2,cons(X4,X1)) != X3 ) ),
    inference(rectify,[],[f44]) ).

tff(f44,plain,
    ! [X3: $int,X0: list,X2: list,X4: list,X1: $int] :
      ( ( count(X3,X2) = count(X3,X4) )
      | ~ in(X3,X2)
      | in(X1,X0)
      | ( append(X2,cons(X1,X0)) != X4 ) ),
    inference(flattening,[],[f43]) ).

tff(f43,plain,
    ! [X1: $int,X4: list,X2: list,X3: $int,X0: list] :
      ( ( count(X3,X2) = count(X3,X4) )
      | in(X1,X0)
      | ~ in(X3,X2)
      | ( append(X2,cons(X1,X0)) != X4 ) ),
    inference(ennf_transformation,[],[f42]) ).

tff(f42,plain,
    ! [X1: $int,X4: list,X2: list,X3: $int,X0: list] :
      ( ( ~ in(X1,X0)
        & in(X3,X2)
        & ( append(X2,cons(X1,X0)) = X4 ) )
     => ( count(X3,X2) = count(X3,X4) ) ),
    inference(flattening,[],[f41]) ).

tff(f41,plain,
    ~ ~ ! [X1: $int,X4: list,X2: list,X3: $int,X0: list] :
          ( ( ~ in(X1,X0)
            & in(X3,X2)
            & ( append(X2,cons(X1,X0)) = X4 ) )
         => ( count(X3,X2) = count(X3,X4) ) ),
    inference(rectify,[],[f16]) ).

tff(f16,negated_conjecture,
    ~ ~ ! [X0: list,X7: $int,X1: list,X5: $int,X8: list] :
          ( ( ~ in(X7,X0)
            & in(X5,X1)
            & ( append(X1,cons(X7,X0)) = X8 ) )
         => ( count(X5,X1) = count(X5,X8) ) ),
    inference(negated_conjecture,[],[f15]) ).

tff(f15,conjecture,
    ~ ! [X0: list,X7: $int,X1: list,X5: $int,X8: list] :
        ( ( ~ in(X7,X0)
          & in(X5,X1)
          & ( append(X1,cons(X7,X0)) = X8 ) )
       => ( count(X5,X1) = count(X5,X8) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).

tff(f96,plain,
    ! [X8: $int,X9: list] : in(X8,cons(X8,X9)),
    inference(equality_resolution,[],[f95]) ).

tff(f95,plain,
    ! [X0: list,X8: $int,X9: list] :
      ( in(X8,X0)
      | ( cons(X8,X9) != X0 ) ),
    inference(equality_resolution,[],[f81]) ).

tff(f81,plain,
    ! [X0: list,X1: $int,X8: $int,X9: list] :
      ( in(X1,X0)
      | ( X1 != X8 )
      | ( cons(X8,X9) != X0 ) ),
    inference(cnf_transformation,[],[f61]) ).

tff(f61,plain,
    ! [X0: list,X1: $int] :
      ( ( ( ( cons(sK3(X0,X1),sK2(X0,X1)) = X0 )
          & in(X1,sK2(X0,X1)) )
        | ( ( sK4(X0,X1) = X1 )
          & ( cons(sK4(X0,X1),sK5(X0,X1)) = X0 ) )
        | ~ in(X1,X0) )
      & ( in(X1,X0)
        | ( ! [X6: list,X7: $int] :
              ( ( cons(X7,X6) != X0 )
              | ~ in(X1,X6) )
          & ! [X8: $int,X9: list] :
              ( ( X1 != X8 )
              | ( cons(X8,X9) != X0 ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f58,f60,f59]) ).

tff(f59,plain,
    ! [X0: list,X1: $int] :
      ( ? [X2: list,X3: $int] :
          ( ( cons(X3,X2) = X0 )
          & in(X1,X2) )
     => ( ( cons(sK3(X0,X1),sK2(X0,X1)) = X0 )
        & in(X1,sK2(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

tff(f60,plain,
    ! [X0: list,X1: $int] :
      ( ? [X4: $int,X5: list] :
          ( ( X1 = X4 )
          & ( cons(X4,X5) = X0 ) )
     => ( ( sK4(X0,X1) = X1 )
        & ( cons(sK4(X0,X1),sK5(X0,X1)) = X0 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f58,plain,
    ! [X0: list,X1: $int] :
      ( ( ? [X2: list,X3: $int] :
            ( ( cons(X3,X2) = X0 )
            & in(X1,X2) )
        | ? [X4: $int,X5: list] :
            ( ( X1 = X4 )
            & ( cons(X4,X5) = X0 ) )
        | ~ in(X1,X0) )
      & ( in(X1,X0)
        | ( ! [X6: list,X7: $int] :
              ( ( cons(X7,X6) != X0 )
              | ~ in(X1,X6) )
          & ! [X8: $int,X9: list] :
              ( ( X1 != X8 )
              | ( cons(X8,X9) != X0 ) ) ) ) ),
    inference(rectify,[],[f57]) ).

tff(f57,plain,
    ! [X1: list,X0: $int] :
      ( ( ? [X5: list,X4: $int] :
            ( ( cons(X4,X5) = X1 )
            & in(X0,X5) )
        | ? [X3: $int,X2: list] :
            ( ( X0 = X3 )
            & ( cons(X3,X2) = X1 ) )
        | ~ in(X0,X1) )
      & ( in(X0,X1)
        | ( ! [X5: list,X4: $int] :
              ( ( cons(X4,X5) != X1 )
              | ~ in(X0,X5) )
          & ! [X3: $int,X2: list] :
              ( ( X0 != X3 )
              | ( cons(X3,X2) != X1 ) ) ) ) ),
    inference(flattening,[],[f56]) ).

tff(f56,plain,
    ! [X1: list,X0: $int] :
      ( ( ? [X5: list,X4: $int] :
            ( ( cons(X4,X5) = X1 )
            & in(X0,X5) )
        | ? [X3: $int,X2: list] :
            ( ( X0 = X3 )
            & ( cons(X3,X2) = X1 ) )
        | ~ in(X0,X1) )
      & ( in(X0,X1)
        | ( ! [X5: list,X4: $int] :
              ( ( cons(X4,X5) != X1 )
              | ~ in(X0,X5) )
          & ! [X3: $int,X2: list] :
              ( ( X0 != X3 )
              | ( cons(X3,X2) != X1 ) ) ) ) ),
    inference(nnf_transformation,[],[f40]) ).

tff(f40,plain,
    ! [X1: list,X0: $int] :
      ( ( ? [X5: list,X4: $int] :
            ( ( cons(X4,X5) = X1 )
            & in(X0,X5) )
        | ? [X3: $int,X2: list] :
            ( ( X0 = X3 )
            & ( cons(X3,X2) = X1 ) ) )
    <=> in(X0,X1) ),
    inference(rectify,[],[f5]) ).

tff(f5,axiom,
    ! [X2: $int,X1: list] :
      ( in(X2,X1)
    <=> ( ? [X4: list,X3: $int] :
            ( ( cons(X3,X4) = X1 )
            & ( X2 = X3 ) )
        | ? [X3: $int,X4: list] :
            ( ( cons(X3,X4) = X1 )
            & in(X2,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_conv) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : DAT097=1 : TPTP v8.1.0. Released v6.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 20:31:56 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.46  % (9110)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)
% 0.20/0.47  % (9110)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.47  % (9118)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)
% 0.20/0.47  % (9110)Terminated due to inappropriate strategy.
% 0.20/0.47  % (9110)------------------------------
% 0.20/0.47  % (9110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47  % (9110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47  % (9110)Termination reason: Inappropriate
% 0.20/0.47  
% 0.20/0.47  % (9110)Memory used [KB]: 895
% 0.20/0.47  % (9110)Time elapsed: 0.005 s
% 0.20/0.47  % (9110)Instructions burned: 3 (million)
% 0.20/0.47  % (9110)------------------------------
% 0.20/0.47  % (9110)------------------------------
% 0.20/0.48  % (9127)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)
% 0.20/0.49  % (9121)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.50  % (9105)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)
% 0.20/0.51  % (9109)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)
% 0.20/0.51  % (9106)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)
% 0.20/0.51  % (9121)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.51  % (9113)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)
% 0.20/0.51  % (9129)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51  % (9121)Terminated due to inappropriate strategy.
% 0.20/0.51  % (9121)------------------------------
% 0.20/0.51  % (9121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (9121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (9121)Termination reason: Inappropriate
% 0.20/0.51  
% 0.20/0.51  % (9121)Memory used [KB]: 895
% 0.20/0.51  % (9121)Time elapsed: 0.004 s
% 0.20/0.51  % (9121)Instructions burned: 3 (million)
% 0.20/0.51  % (9121)------------------------------
% 0.20/0.51  % (9121)------------------------------
% 0.20/0.51  % (9107)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)
% 0.20/0.51  % (9108)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (9104)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)
% 0.20/0.52  % (9104)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.52  % (9116)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53  % (9125)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)
% 0.20/0.53  % (9128)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)
% 0.20/0.53  % (9134)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)
% 0.20/0.53  % (9114)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (9124)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)
% 0.20/0.53  % (9106)First to succeed.
% 0.20/0.53  % (9130)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53  % (9119)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)
% 0.20/0.53  % (9122)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (9133)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53  % (9112)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (9104)Terminated due to inappropriate strategy.
% 0.20/0.53  % (9104)------------------------------
% 0.20/0.53  % (9104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (9104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (9104)Termination reason: Inappropriate
% 0.20/0.53  
% 0.20/0.53  % (9104)Memory used [KB]: 895
% 0.20/0.53  % (9104)Time elapsed: 0.005 s
% 0.20/0.53  % (9104)Instructions burned: 4 (million)
% 0.20/0.53  % (9104)------------------------------
% 0.20/0.53  % (9104)------------------------------
% 0.20/0.53  % (9120)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)
% 0.20/0.54  % (9112)Instruction limit reached!
% 0.20/0.54  % (9112)------------------------------
% 0.20/0.54  % (9112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (9106)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Theorem for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (9106)------------------------------
% 0.20/0.54  % (9106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (9106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (9106)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (9106)Memory used [KB]: 1023
% 0.20/0.54  % (9106)Time elapsed: 0.120 s
% 0.20/0.54  % (9106)Instructions burned: 7 (million)
% 0.20/0.54  % (9106)------------------------------
% 0.20/0.54  % (9106)------------------------------
% 0.20/0.54  % (9100)Success in time 0.179 s
%------------------------------------------------------------------------------