TSTP Solution File: RNG077+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG077+2 : TPTP v8.1.0. Released v4.0.0.
% 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 : n022.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 18:14:50 EDT 2022

% Result   : Theorem 0.18s 0.62s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   54 (  12 unt;   0 def)
%            Number of atoms       :  146 (  35 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  163 (  71   ~;  63   |;  19   &)
%                                         (   7 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   8 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2597,plain,
    $false,
    inference(avatar_sat_refutation,[],[f264,f508,f648,f938,f2394,f2452,f2482,f2596]) ).

fof(f2596,plain,
    ( ~ spl2_29
    | spl2_120 ),
    inference(avatar_split_clause,[],[f2595,f1268,f434]) ).

fof(f434,plain,
    ( spl2_29
  <=> aScalar0(xH) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_29])]) ).

fof(f1268,plain,
    ( spl2_120
  <=> aScalar0(sdtasdt0(xH,xH)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_120])]) ).

fof(f2595,plain,
    ( ~ aScalar0(xH)
    | spl2_120 ),
    inference(duplicate_literal_removal,[],[f2594]) ).

fof(f2594,plain,
    ( ~ aScalar0(xH)
    | ~ aScalar0(xH)
    | spl2_120 ),
    inference(resolution,[],[f1270,f182]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X0)
      | aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1) ),
    inference(rectify,[],[f135]) ).

fof(f135,plain,
    ! [X1,X0] :
      ( ~ aScalar0(X1)
      | aScalar0(sdtasdt0(X1,X0))
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f134]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X1,X0))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ( aScalar0(X0)
        & aScalar0(X1) )
     => aScalar0(sdtasdt0(X1,X0)) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X1,X0] :
      ( ( aScalar0(X0)
        & aScalar0(X1) )
     => aScalar0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).

fof(f1270,plain,
    ( ~ aScalar0(sdtasdt0(xH,xH))
    | spl2_120 ),
    inference(avatar_component_clause,[],[f1268]) ).

fof(f2482,plain,
    ( ~ spl2_120
    | ~ spl2_30
    | spl2_52 ),
    inference(avatar_split_clause,[],[f2481,f632,f438,f1268]) ).

fof(f438,plain,
    ( spl2_30
  <=> aScalar0(xP) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_30])]) ).

fof(f632,plain,
    ( spl2_52
  <=> sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_52])]) ).

fof(f2481,plain,
    ( ~ aScalar0(xP)
    | ~ aScalar0(sdtasdt0(xH,xH))
    | spl2_52 ),
    inference(trivial_inequality_removal,[],[f2480]) ).

fof(f2480,plain,
    ( ~ aScalar0(sdtasdt0(xH,xH))
    | sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))) != sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))
    | ~ aScalar0(xP)
    | spl2_52 ),
    inference(duplicate_literal_removal,[],[f2479]) ).

fof(f2479,plain,
    ( ~ aScalar0(xP)
    | ~ aScalar0(xP)
    | sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))) != sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtasdt0(xH,xH))
    | spl2_52 ),
    inference(superposition,[],[f634,f159]) ).

fof(f159,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(X0,sdtpldt0(X2,X1)) = sdtpldt0(sdtpldt0(X0,X2),X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ! [X0,X1,X2] :
      ( ~ aScalar0(X1)
      | ( sdtasdt0(X0,X2) = sdtasdt0(X2,X0)
        & sdtasdt0(sdtasdt0(X0,X2),X1) = sdtasdt0(X0,sdtasdt0(X2,X1))
        & sdtpldt0(X0,sdtpldt0(X2,X1)) = sdtpldt0(sdtpldt0(X0,X2),X1)
        & sdtpldt0(X0,X2) = sdtpldt0(X2,X0) )
      | ~ aScalar0(X0)
      | ~ aScalar0(X2) ),
    inference(rectify,[],[f119]) ).

fof(f119,plain,
    ! [X0,X2,X1] :
      ( ~ aScalar0(X2)
      | ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        & sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
        & sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
        & sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        & sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
        & sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
        & sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
      | ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X2) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( ( aScalar0(X0)
        & aScalar0(X1)
        & aScalar0(X2) )
     => ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
        & sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
        & sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
        & sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).

fof(f634,plain,
    ( sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))
    | spl2_52 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f2452,plain,
    ( ~ spl2_28
    | ~ spl2_29
    | spl2_30 ),
    inference(avatar_split_clause,[],[f2439,f438,f434,f430]) ).

fof(f430,plain,
    ( spl2_28
  <=> aScalar0(xE) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_28])]) ).

fof(f2439,plain,
    ( aScalar0(xP)
    | ~ aScalar0(xH)
    | ~ aScalar0(xE) ),
    inference(superposition,[],[f182,f233]) ).

fof(f233,plain,
    xP = sdtasdt0(xE,xH),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,axiom,
    ( aScalar0(xP)
    & xP = sdtasdt0(xE,xH) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).

fof(f2394,plain,
    spl2_29,
    inference(avatar_split_clause,[],[f229,f434]) ).

fof(f229,plain,
    aScalar0(xH),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,axiom,
    ( xH = sdtasdt0(xA,xB)
    & aScalar0(xH) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).

fof(f938,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[],[f898]) ).

fof(f898,plain,
    ( $false
    | ~ spl2_1 ),
    inference(resolution,[],[f255,f245]) ).

fof(f245,plain,
    aScalar0(xE),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,axiom,
    ( xE = sdtasasdt0(xp,xq)
    & aScalar0(xE) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).

fof(f255,plain,
    ( ! [X0] : ~ aScalar0(X0)
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f254,plain,
    ( spl2_1
  <=> ! [X0] : ~ aScalar0(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f648,plain,
    ( ~ spl2_28
    | ~ spl2_52
    | ~ spl2_29
    | ~ spl2_3 ),
    inference(avatar_split_clause,[],[f647,f262,f434,f632,f430]) ).

fof(f262,plain,
    ( spl2_3
  <=> ! [X2,X0] :
        ( sdtasdt0(X0,X2) = sdtasdt0(X2,X0)
        | ~ aScalar0(X0)
        | ~ aScalar0(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f647,plain,
    ( ~ aScalar0(xH)
    | sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))
    | ~ aScalar0(xE)
    | ~ spl2_3 ),
    inference(forward_demodulation,[],[f606,f233]) ).

fof(f606,plain,
    ( sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(xP,sdtpldt0(sdtasdt0(xE,xH),sdtasdt0(xH,xH)))
    | ~ aScalar0(xE)
    | ~ aScalar0(xH)
    | ~ spl2_3 ),
    inference(superposition,[],[f269,f263]) ).

fof(f263,plain,
    ( ! [X2,X0] :
        ( sdtasdt0(X0,X2) = sdtasdt0(X2,X0)
        | ~ aScalar0(X2)
        | ~ aScalar0(X0) )
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f269,plain,
    sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
    inference(backward_demodulation,[],[f220,f233]) ).

fof(f220,plain,
    sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
    inference(flattening,[],[f60]) ).

fof(f60,negated_conjecture,
    sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
    inference(negated_conjecture,[],[f59]) ).

fof(f59,conjecture,
    sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f508,plain,
    spl2_28,
    inference(avatar_contradiction_clause,[],[f507]) ).

fof(f507,plain,
    ( $false
    | spl2_28 ),
    inference(resolution,[],[f432,f245]) ).

fof(f432,plain,
    ( ~ aScalar0(xE)
    | spl2_28 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f264,plain,
    ( spl2_1
    | spl2_3 ),
    inference(avatar_split_clause,[],[f161,f262,f254]) ).

fof(f161,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,X2) = sdtasdt0(X2,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f136]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : RNG077+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % 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 : n022.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 12:03:26 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.47  % (13403)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)
% 0.18/0.48  % (13395)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)
% 0.18/0.49  % (13387)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)
% 0.18/0.49  % (13386)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)
% 0.18/0.49  % (13395)Instruction limit reached!
% 0.18/0.49  % (13395)------------------------------
% 0.18/0.49  % (13395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (13395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (13395)Termination reason: Unknown
% 0.18/0.49  % (13395)Termination phase: Saturation
% 0.18/0.49  
% 0.18/0.49  % (13395)Memory used [KB]: 6140
% 0.18/0.49  % (13385)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)
% 0.18/0.49  % (13395)Time elapsed: 0.074 s
% 0.18/0.49  % (13395)Instructions burned: 8 (million)
% 0.18/0.49  % (13395)------------------------------
% 0.18/0.49  % (13395)------------------------------
% 0.18/0.49  % (13397)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50  % (13392)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)
% 0.18/0.50  % (13388)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)
% 0.18/0.50  % (13394)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)
% 0.18/0.50  % (13384)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)
% 0.18/0.50  % (13380)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)
% 0.18/0.50  % (13397)Instruction limit reached!
% 0.18/0.50  % (13397)------------------------------
% 0.18/0.50  % (13397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (13393)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)
% 0.18/0.50  % (13394)Instruction limit reached!
% 0.18/0.50  % (13394)------------------------------
% 0.18/0.50  % (13394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (13397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (13397)Termination reason: Unknown
% 0.18/0.50  % (13397)Termination phase: Property scanning
% 0.18/0.50  
% 0.18/0.50  % (13397)Memory used [KB]: 1535
% 0.18/0.50  % (13397)Time elapsed: 0.003 s
% 0.18/0.50  % (13397)Instructions burned: 3 (million)
% 0.18/0.50  % (13397)------------------------------
% 0.18/0.50  % (13397)------------------------------
% 0.18/0.50  % (13394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (13394)Termination reason: Unknown
% 0.18/0.50  % (13394)Termination phase: Property scanning
% 0.18/0.50  
% 0.18/0.50  % (13394)Memory used [KB]: 1535
% 0.18/0.50  % (13394)Time elapsed: 0.005 s
% 0.18/0.50  % (13394)Instructions burned: 4 (million)
% 0.18/0.50  % (13394)------------------------------
% 0.18/0.50  % (13394)------------------------------
% 0.18/0.51  % (13409)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)
% 0.18/0.51  % (13401)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  % (13383)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)
% 0.18/0.51  % (13379)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.51  % (13389)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)
% 0.18/0.51  % (13396)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  % (13382)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)
% 0.18/0.51  % (13406)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)
% 0.18/0.51  % (13381)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)
% 0.18/0.51  % (13381)Instruction limit reached!
% 0.18/0.51  % (13381)------------------------------
% 0.18/0.51  % (13381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (13381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (13381)Termination reason: Unknown
% 0.18/0.51  % (13381)Termination phase: Preprocessing 3
% 0.18/0.51  
% 0.18/0.51  % (13381)Memory used [KB]: 1535
% 0.18/0.51  % (13381)Time elapsed: 0.002 s
% 0.18/0.51  % (13381)Instructions burned: 3 (million)
% 0.18/0.51  % (13381)------------------------------
% 0.18/0.51  % (13381)------------------------------
% 0.18/0.52  % (13390)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  % (13383)Instruction limit reached!
% 0.18/0.52  % (13383)------------------------------
% 0.18/0.52  % (13383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (13405)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)
% 0.18/0.52  % (13384)Instruction limit reached!
% 0.18/0.52  % (13384)------------------------------
% 0.18/0.52  % (13384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (13384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (13384)Termination reason: Unknown
% 0.18/0.52  % (13384)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (13384)Memory used [KB]: 1791
% 0.18/0.52  % (13384)Time elapsed: 0.125 s
% 0.18/0.52  % (13384)Instructions burned: 16 (million)
% 0.18/0.52  % (13384)------------------------------
% 0.18/0.52  % (13384)------------------------------
% 0.18/0.52  % (13392)Instruction limit reached!
% 0.18/0.52  % (13392)------------------------------
% 0.18/0.52  % (13392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (13392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (13392)Termination reason: Unknown
% 0.18/0.52  % (13392)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (13392)Memory used [KB]: 1918
% 0.18/0.52  % (13392)Time elapsed: 0.115 s
% 0.18/0.52  % (13392)Instructions burned: 16 (million)
% 0.18/0.52  % (13392)------------------------------
% 0.18/0.52  % (13392)------------------------------
% 0.18/0.52  % (13404)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  % (13383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (13383)Termination reason: Unknown
% 0.18/0.52  % (13383)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (13383)Memory used [KB]: 6268
% 0.18/0.52  % (13383)Time elapsed: 0.123 s
% 0.18/0.52  % (13383)Instructions burned: 13 (million)
% 0.18/0.52  % (13383)------------------------------
% 0.18/0.52  % (13383)------------------------------
% 0.18/0.52  % (13390)Instruction limit reached!
% 0.18/0.52  % (13390)------------------------------
% 0.18/0.52  % (13390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (13390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (13390)Termination reason: Unknown
% 0.18/0.52  % (13390)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (13390)Memory used [KB]: 6140
% 0.18/0.52  % (13390)Time elapsed: 0.009 s
% 0.18/0.52  % (13390)Instructions burned: 7 (million)
% 0.18/0.52  % (13390)------------------------------
% 0.18/0.52  % (13390)------------------------------
% 0.18/0.52  % (13399)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)
% 0.18/0.52  % (13389)Instruction limit reached!
% 0.18/0.52  % (13389)------------------------------
% 0.18/0.52  % (13389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (13389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (13389)Termination reason: Unknown
% 0.18/0.52  % (13389)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (13389)Memory used [KB]: 6268
% 0.18/0.52  % (13389)Time elapsed: 0.119 s
% 0.18/0.52  % (13389)Instructions burned: 12 (million)
% 0.18/0.52  % (13389)------------------------------
% 0.18/0.52  % (13389)------------------------------
% 0.18/0.53  % (13380)Instruction limit reached!
% 0.18/0.53  % (13380)------------------------------
% 0.18/0.53  % (13380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (13380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (13380)Termination reason: Unknown
% 0.18/0.53  % (13380)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (13380)Memory used [KB]: 6268
% 0.18/0.53  % (13380)Time elapsed: 0.112 s
% 0.18/0.53  % (13380)Instructions burned: 14 (million)
% 0.18/0.53  % (13380)------------------------------
% 0.18/0.53  % (13380)------------------------------
% 0.18/0.53  % (13400)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)
% 0.18/0.53  % (13398)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)
% 0.18/0.53  % (13398)Instruction limit reached!
% 0.18/0.53  % (13398)------------------------------
% 0.18/0.53  % (13398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (13398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (13398)Termination reason: Unknown
% 0.18/0.53  % (13398)Termination phase: Naming
% 0.18/0.53  
% 0.18/0.53  % (13398)Memory used [KB]: 1535
% 0.18/0.53  % (13398)Time elapsed: 0.002 s
% 0.18/0.53  % (13398)Instructions burned: 2 (million)
% 0.18/0.53  % (13398)------------------------------
% 0.18/0.53  % (13398)------------------------------
% 0.18/0.53  % (13408)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)
% 0.18/0.53  % (13386)Refutation not found, non-redundant clauses discarded% (13386)------------------------------
% 0.18/0.53  % (13386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (13386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (13386)Termination reason: Refutation not found, non-redundant clauses discarded
% 0.18/0.53  
% 0.18/0.53  % (13386)Memory used [KB]: 6524
% 0.18/0.53  % (13386)Time elapsed: 0.098 s
% 0.18/0.53  % (13386)Instructions burned: 36 (million)
% 0.18/0.53  % (13386)------------------------------
% 0.18/0.53  % (13386)------------------------------
% 0.18/0.53  % (13402)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)
% 0.18/0.54  % (13408)Instruction limit reached!
% 0.18/0.54  % (13408)------------------------------
% 0.18/0.54  % (13408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (13399)Instruction limit reached!
% 0.18/0.54  % (13399)------------------------------
% 0.18/0.54  % (13399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (13399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (13399)Termination reason: Unknown
% 0.18/0.54  % (13399)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (13399)Memory used [KB]: 6396
% 0.18/0.54  % (13399)Time elapsed: 0.144 s
% 0.18/0.54  % (13399)Instructions burned: 11 (million)
% 0.18/0.54  % (13399)------------------------------
% 0.18/0.54  % (13399)------------------------------
% 0.18/0.54  % (13407)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)
% 0.18/0.54  % (13403)Instruction limit reached!
% 0.18/0.54  % (13403)------------------------------
% 0.18/0.54  % (13403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (13409)Instruction limit reached!
% 0.18/0.54  % (13409)------------------------------
% 0.18/0.54  % (13409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (13388)Refutation not found, non-redundant clauses discarded% (13388)------------------------------
% 0.18/0.55  % (13388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (13388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (13388)Termination reason: Refutation not found, non-redundant clauses discarded
% 0.18/0.55  
% 0.18/0.55  % (13388)Memory used [KB]: 6524
% 0.18/0.55  % (13388)Time elapsed: 0.138 s
% 0.18/0.55  % (13388)Instructions burned: 32 (million)
% 0.18/0.55  % (13388)------------------------------
% 0.18/0.55  % (13388)------------------------------
% 0.18/0.55  % (13409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (13409)Termination reason: Unknown
% 0.18/0.55  % (13409)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (13409)Memory used [KB]: 6524
% 0.18/0.55  % (13409)Time elapsed: 0.159 s
% 0.18/0.55  % (13409)Instructions burned: 25 (million)
% 0.18/0.55  % (13409)------------------------------
% 0.18/0.55  % (13409)------------------------------
% 0.18/0.55  % (13408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (13408)Termination reason: Unknown
% 0.18/0.55  % (13408)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (13408)Memory used [KB]: 6268
% 0.18/0.55  % (13408)Time elapsed: 0.143 s
% 0.18/0.55  % (13408)Instructions burned: 9 (million)
% 0.18/0.55  % (13408)------------------------------
% 0.18/0.55  % (13408)------------------------------
% 0.18/0.55  % (13403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (13403)Termination reason: Unknown
% 0.18/0.55  % (13403)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (13403)Memory used [KB]: 2430
% 0.18/0.55  % (13403)Time elapsed: 0.121 s
% 0.18/0.55  % (13403)Instructions burned: 46 (million)
% 0.18/0.55  % (13403)------------------------------
% 0.18/0.55  % (13403)------------------------------
% 0.18/0.57  % (13387)Instruction limit reached!
% 0.18/0.57  % (13387)------------------------------
% 0.18/0.57  % (13387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (13387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (13387)Termination reason: Unknown
% 0.18/0.57  % (13387)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (13387)Memory used [KB]: 7164
% 0.18/0.57  % (13387)Time elapsed: 0.167 s
% 0.18/0.57  % (13387)Instructions burned: 51 (million)
% 0.18/0.57  % (13387)------------------------------
% 0.18/0.57  % (13387)------------------------------
% 0.18/0.58  % (13407)Instruction limit reached!
% 0.18/0.58  % (13407)------------------------------
% 0.18/0.58  % (13407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58  % (13407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58  % (13407)Termination reason: Unknown
% 0.18/0.58  % (13407)Termination phase: Saturation
% 0.18/0.58  
% 0.18/0.58  % (13407)Memory used [KB]: 6652
% 0.18/0.58  % (13407)Time elapsed: 0.180 s
% 0.18/0.58  % (13407)Instructions burned: 25 (million)
% 0.18/0.58  % (13407)------------------------------
% 0.18/0.58  % (13407)------------------------------
% 0.18/0.58  % (13400)Instruction limit reached!
% 0.18/0.58  % (13400)------------------------------
% 0.18/0.58  % (13400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58  % (13400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58  % (13400)Termination reason: Unknown
% 0.18/0.58  % (13400)Termination phase: Saturation
% 0.18/0.58  
% 0.18/0.58  % (13400)Memory used [KB]: 6524
% 0.18/0.58  % (13400)Time elapsed: 0.182 s
% 0.18/0.58  % (13400)Instructions burned: 31 (million)
% 0.18/0.58  % (13400)------------------------------
% 0.18/0.58  % (13400)------------------------------
% 0.18/0.58  % (13385)Instruction limit reached!
% 0.18/0.58  % (13385)------------------------------
% 0.18/0.58  % (13385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58  % (13385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58  % (13385)Termination reason: Unknown
% 0.18/0.58  % (13385)Termination phase: Saturation
% 0.18/0.58  
% 0.18/0.58  % (13385)Memory used [KB]: 6524
% 0.18/0.58  % (13385)Time elapsed: 0.171 s
% 0.18/0.58  % (13385)Instructions burned: 39 (million)
% 0.18/0.58  % (13385)------------------------------
% 0.18/0.58  % (13385)------------------------------
% 0.18/0.58  % (13396)Instruction limit reached!
% 0.18/0.58  % (13396)------------------------------
% 0.18/0.58  % (13396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58  % (13396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58  % (13396)Termination reason: Unknown
% 0.18/0.58  % (13396)Termination phase: Saturation
% 0.18/0.58  
% 0.18/0.58  % (13396)Memory used [KB]: 6396
% 0.18/0.58  % (13396)Time elapsed: 0.182 s
% 0.18/0.58  % (13396)Instructions burned: 51 (million)
% 0.18/0.58  % (13396)------------------------------
% 0.18/0.58  % (13396)------------------------------
% 0.18/0.59  % (13393)Instruction limit reached!
% 0.18/0.59  % (13393)------------------------------
% 0.18/0.59  % (13393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.59  % (13393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.59  % (13393)Termination reason: Unknown
% 0.18/0.59  % (13393)Termination phase: Saturation
% 0.18/0.59  
% 0.18/0.59  % (13393)Memory used [KB]: 7547
% 0.18/0.59  % (13393)Time elapsed: 0.192 s
% 0.18/0.59  % (13393)Instructions burned: 52 (million)
% 0.18/0.59  % (13393)------------------------------
% 0.18/0.59  % (13393)------------------------------
% 0.18/0.59  % (13382)Instruction limit reached!
% 0.18/0.59  % (13382)------------------------------
% 0.18/0.59  % (13382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.59  % (13382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.59  % (13382)Termination reason: Unknown
% 0.18/0.59  % (13382)Termination phase: Saturation
% 0.18/0.59  
% 0.18/0.59  % (13382)Memory used [KB]: 7036
% 0.18/0.59  % (13382)Time elapsed: 0.189 s
% 0.18/0.59  % (13382)Instructions burned: 52 (million)
% 0.18/0.59  % (13382)------------------------------
% 0.18/0.59  % (13382)------------------------------
% 0.18/0.61  % (13404)Instruction limit reached!
% 0.18/0.61  % (13404)------------------------------
% 0.18/0.61  % (13404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.61  % (13404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.61  % (13404)Termination reason: Unknown
% 0.18/0.61  % (13404)Termination phase: Saturation
% 0.18/0.61  
% 0.18/0.61  % (13404)Memory used [KB]: 7803
% 0.18/0.61  % (13404)Time elapsed: 0.220 s
% 0.18/0.61  % (13404)Instructions burned: 51 (million)
% 0.18/0.61  % (13404)------------------------------
% 0.18/0.61  % (13404)------------------------------
% 0.18/0.61  % (13402)First to succeed.
% 0.18/0.62  % (13507)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 0.18/0.62  % (13506)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.18/0.62  % (13402)Refutation found. Thanks to Tanya!
% 0.18/0.62  % SZS status Theorem for theBenchmark
% 0.18/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.63  % (13402)------------------------------
% 0.18/0.63  % (13402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.63  % (13402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.63  % (13402)Termination reason: Refutation
% 0.18/0.63  
% 0.18/0.63  % (13402)Memory used [KB]: 7803
% 0.18/0.63  % (13402)Time elapsed: 0.228 s
% 0.18/0.63  % (13402)Instructions burned: 53 (million)
% 0.18/0.63  % (13402)------------------------------
% 0.18/0.63  % (13402)------------------------------
% 0.18/0.63  % (13376)Success in time 0.267 s
%------------------------------------------------------------------------------