TSTP Solution File: NUM845+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM845+1 : TPTP v8.1.0. Released v4.1.0.
% 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 18:02:33 EDT 2022

% Result   : Theorem 0.19s 0.56s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   54 (  23 unt;   0 def)
%            Number of atoms       :   87 (  86 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   56 (  23   ~;  16   |;   6   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   44 (  42   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f342,plain,
    $false,
    inference(subsumption_resolution,[],[f341,f278]) ).

fof(f278,plain,
    vmul(vplus(v1,vd411),vplus(v1,sK4)) != vplus(vmul(vd411,vplus(v1,sK4)),vplus(v1,sK4)),
    inference(definition_unfolding,[],[f254,f200,f200,f200,f200]) ).

fof(f200,plain,
    ! [X0] : vsucc(X0) = vplus(v1,X0),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0] : vsucc(X0) = vplus(v1,X0),
    inference(rectify,[],[f52]) ).

fof(f52,axiom,
    ! [X72] : vplus(v1,X72) = vsucc(X72),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).

fof(f254,plain,
    vmul(vsucc(vd411),vsucc(sK4)) != vplus(vmul(vd411,vsucc(sK4)),vsucc(sK4)),
    inference(cnf_transformation,[],[f185]) ).

fof(f185,plain,
    ( vmul(vsucc(vd411),vsucc(sK4)) != vplus(vmul(vd411,vsucc(sK4)),vsucc(sK4))
    & vplus(vmul(vd411,sK4),sK4) = vmul(vsucc(vd411),sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f139,f184]) ).

fof(f184,plain,
    ( ? [X0] :
        ( vmul(vsucc(vd411),vsucc(X0)) != vplus(vmul(vd411,vsucc(X0)),vsucc(X0))
        & vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0) )
   => ( vmul(vsucc(vd411),vsucc(sK4)) != vplus(vmul(vd411,vsucc(sK4)),vsucc(sK4))
      & vplus(vmul(vd411,sK4),sK4) = vmul(vsucc(vd411),sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f139,plain,
    ? [X0] :
      ( vmul(vsucc(vd411),vsucc(X0)) != vplus(vmul(vd411,vsucc(X0)),vsucc(X0))
      & vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
       => vmul(vsucc(vd411),vsucc(X0)) = vplus(vmul(vd411,vsucc(X0)),vsucc(X0)) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
     => vmul(vsucc(vd411),vsucc(X0)) = vplus(vmul(vd411,vsucc(X0)),vsucc(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(ind(267), imp(267))') ).

fof(f341,plain,
    vmul(vplus(v1,vd411),vplus(v1,sK4)) = vplus(vmul(vd411,vplus(v1,sK4)),vplus(v1,sK4)),
    inference(backward_demodulation,[],[f336,f340]) ).

fof(f340,plain,
    vmul(vplus(v1,vd411),vplus(v1,sK4)) = vplus(vmul(vd411,sK4),vplus(vd411,vplus(v1,sK4))),
    inference(backward_demodulation,[],[f321,f339]) ).

fof(f339,plain,
    vmul(vplus(v1,vd411),vplus(v1,sK4)) = vplus(vmul(vd411,sK4),vplus(v1,vplus(vd411,sK4))),
    inference(forward_demodulation,[],[f338,f337]) ).

fof(f337,plain,
    vmul(vplus(v1,vd411),vplus(v1,sK4)) = vplus(vmul(vd411,sK4),vplus(sK4,vplus(v1,vd411))),
    inference(forward_demodulation,[],[f323,f276]) ).

fof(f276,plain,
    ! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
    inference(definition_unfolding,[],[f241,f200]) ).

fof(f241,plain,
    ! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0)
      & vmul(X0,v1) = X0 ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3,X4] :
      ( vmul(X3,vsucc(X4)) = vplus(vmul(X3,X4),X3)
      & vmul(X3,v1) = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).

fof(f323,plain,
    vplus(vmul(vplus(v1,vd411),sK4),vplus(v1,vd411)) = vplus(vmul(vd411,sK4),vplus(sK4,vplus(v1,vd411))),
    inference(trivial_inequality_removal,[],[f294]) ).

fof(f294,plain,
    ( vmul(vplus(v1,vd411),sK4) != vmul(vplus(v1,vd411),sK4)
    | vplus(vmul(vplus(v1,vd411),sK4),vplus(v1,vd411)) = vplus(vmul(vd411,sK4),vplus(sK4,vplus(v1,vd411))) ),
    inference(superposition,[],[f263,f279]) ).

fof(f279,plain,
    vplus(vmul(vd411,sK4),sK4) = vmul(vplus(v1,vd411),sK4),
    inference(definition_unfolding,[],[f253,f200]) ).

fof(f253,plain,
    vplus(vmul(vd411,sK4),sK4) = vmul(vsucc(vd411),sK4),
    inference(cnf_transformation,[],[f185]) ).

fof(f263,plain,
    ! [X0] :
      ( vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0)
      | vplus(vplus(vmul(vd411,X0),X0),vplus(v1,vd411)) = vplus(vmul(vd411,X0),vplus(X0,vplus(v1,vd411))) ),
    inference(definition_unfolding,[],[f212,f200,f200,f200]) ).

fof(f212,plain,
    ! [X0] :
      ( vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0)
      | vplus(vplus(vmul(vd411,X0),X0),vsucc(vd411)) = vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411))) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0] :
      ( vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0)
      | vplus(vplus(vmul(vd411,X0),X0),vsucc(vd411)) = vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411))) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0] :
      ( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
     => vplus(vplus(vmul(vd411,X0),X0),vsucc(vd411)) = vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411))) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X1] :
      ( vmul(vsucc(vd411),X1) = vplus(vmul(vd411,X1),X1)
     => vplus(vmul(vd411,X1),vplus(X1,vsucc(vd411))) = vplus(vplus(vmul(vd411,X1),X1),vsucc(vd411)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conseq(263), 1), 5)') ).

fof(f338,plain,
    vplus(vmul(vd411,sK4),vplus(v1,vplus(vd411,sK4))) = vplus(vmul(vd411,sK4),vplus(sK4,vplus(v1,vd411))),
    inference(forward_demodulation,[],[f320,f215]) ).

fof(f215,plain,
    ! [X2,X0,X1] : vplus(X0,vplus(X2,X1)) = vplus(vplus(X0,X2),X1),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1,X2] : vplus(X0,vplus(X2,X1)) = vplus(vplus(X0,X2),X1),
    inference(rectify,[],[f53]) ).

fof(f53,axiom,
    ! [X73,X75,X74] : vplus(vplus(X73,X74),X75) = vplus(X73,vplus(X74,X75)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).

fof(f320,plain,
    vplus(vmul(vd411,sK4),vplus(sK4,vplus(v1,vd411))) = vplus(vmul(vd411,sK4),vplus(vplus(v1,vd411),sK4)),
    inference(trivial_inequality_removal,[],[f297]) ).

fof(f297,plain,
    ( vmul(vplus(v1,vd411),sK4) != vmul(vplus(v1,vd411),sK4)
    | vplus(vmul(vd411,sK4),vplus(sK4,vplus(v1,vd411))) = vplus(vmul(vd411,sK4),vplus(vplus(v1,vd411),sK4)) ),
    inference(superposition,[],[f272,f279]) ).

fof(f272,plain,
    ! [X0] :
      ( vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0)
      | vplus(vmul(vd411,X0),vplus(X0,vplus(v1,vd411))) = vplus(vmul(vd411,X0),vplus(vplus(v1,vd411),X0)) ),
    inference(definition_unfolding,[],[f233,f200,f200,f200]) ).

fof(f233,plain,
    ! [X0] :
      ( vplus(vmul(vd411,X0),vplus(vsucc(vd411),X0)) = vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411)))
      | vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ! [X0] :
      ( vplus(vmul(vd411,X0),vplus(vsucc(vd411),X0)) = vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411)))
      | vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0] :
      ( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
     => vplus(vmul(vd411,X0),vplus(vsucc(vd411),X0)) = vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411))) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X1] :
      ( vmul(vsucc(vd411),X1) = vplus(vmul(vd411,X1),X1)
     => vplus(vmul(vd411,X1),vplus(vsucc(vd411),X1)) = vplus(vmul(vd411,X1),vplus(X1,vsucc(vd411))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conseq(263), 1), 4)') ).

fof(f321,plain,
    vplus(vmul(vd411,sK4),vplus(v1,vplus(vd411,sK4))) = vplus(vmul(vd411,sK4),vplus(vd411,vplus(v1,sK4))),
    inference(trivial_inequality_removal,[],[f295]) ).

fof(f295,plain,
    ( vmul(vplus(v1,vd411),sK4) != vmul(vplus(v1,vd411),sK4)
    | vplus(vmul(vd411,sK4),vplus(v1,vplus(vd411,sK4))) = vplus(vmul(vd411,sK4),vplus(vd411,vplus(v1,sK4))) ),
    inference(superposition,[],[f269,f279]) ).

fof(f269,plain,
    ! [X0] :
      ( vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0)
      | vplus(vmul(vd411,X0),vplus(v1,vplus(vd411,X0))) = vplus(vmul(vd411,X0),vplus(vd411,vplus(v1,X0))) ),
    inference(definition_unfolding,[],[f228,f200,f200,f200]) ).

fof(f228,plain,
    ! [X0] :
      ( vplus(vmul(vd411,X0),vsucc(vplus(vd411,X0))) = vplus(vmul(vd411,X0),vplus(vd411,vsucc(X0)))
      | vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( vplus(vmul(vd411,X0),vsucc(vplus(vd411,X0))) = vplus(vmul(vd411,X0),vplus(vd411,vsucc(X0)))
      | vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
     => vplus(vmul(vd411,X0),vsucc(vplus(vd411,X0))) = vplus(vmul(vd411,X0),vplus(vd411,vsucc(X0))) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X1] :
      ( vmul(vsucc(vd411),X1) = vplus(vmul(vd411,X1),X1)
     => vplus(vmul(vd411,X1),vplus(vd411,vsucc(X1))) = vplus(vmul(vd411,X1),vsucc(vplus(vd411,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conseq(263), 1), 2)') ).

fof(f336,plain,
    vplus(vmul(vd411,vplus(v1,sK4)),vplus(v1,sK4)) = vplus(vmul(vd411,sK4),vplus(vd411,vplus(v1,sK4))),
    inference(forward_demodulation,[],[f324,f215]) ).

fof(f324,plain,
    vplus(vmul(vd411,vplus(v1,sK4)),vplus(v1,sK4)) = vplus(vplus(vmul(vd411,sK4),vd411),vplus(v1,sK4)),
    inference(trivial_inequality_removal,[],[f300]) ).

fof(f300,plain,
    ( vmul(vplus(v1,vd411),sK4) != vmul(vplus(v1,vd411),sK4)
    | vplus(vmul(vd411,vplus(v1,sK4)),vplus(v1,sK4)) = vplus(vplus(vmul(vd411,sK4),vd411),vplus(v1,sK4)) ),
    inference(superposition,[],[f277,f279]) ).

fof(f277,plain,
    ! [X0] :
      ( vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0)
      | vplus(vplus(vmul(vd411,X0),vd411),vplus(v1,X0)) = vplus(vmul(vd411,vplus(v1,X0)),vplus(v1,X0)) ),
    inference(definition_unfolding,[],[f246,f200,f200,f200,f200]) ).

fof(f246,plain,
    ! [X0] :
      ( vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0)
      | vplus(vmul(vd411,vsucc(X0)),vsucc(X0)) = vplus(vplus(vmul(vd411,X0),vd411),vsucc(X0)) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    ! [X0] :
      ( vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0)
      | vplus(vmul(vd411,vsucc(X0)),vsucc(X0)) = vplus(vplus(vmul(vd411,X0),vd411),vsucc(X0)) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
     => vplus(vmul(vd411,vsucc(X0)),vsucc(X0)) = vplus(vplus(vmul(vd411,X0),vd411),vsucc(X0)) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X1] :
      ( vmul(vsucc(vd411),X1) = vplus(vmul(vd411,X1),X1)
     => vplus(vplus(vmul(vd411,X1),vd411),vsucc(X1)) = vplus(vmul(vd411,vsucc(X1)),vsucc(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conseq(263), 1), 0)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : NUM845+1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 09:03:41 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (19369)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)
% 0.19/0.50  % (19361)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)
% 0.19/0.50  % (19352)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)
% 0.19/0.50  % (19361)Instruction limit reached!
% 0.19/0.50  % (19361)------------------------------
% 0.19/0.50  % (19361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (19361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (19361)Termination reason: Unknown
% 0.19/0.50  % (19361)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (19361)Memory used [KB]: 6012
% 0.19/0.50  % (19361)Time elapsed: 0.006 s
% 0.19/0.50  % (19361)Instructions burned: 4 (million)
% 0.19/0.50  % (19361)------------------------------
% 0.19/0.50  % (19361)------------------------------
% 0.19/0.50  % (19351)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)
% 0.19/0.51  % (19355)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)
% 0.19/0.51  % (19353)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)
% 0.19/0.51  % (19367)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)
% 0.19/0.52  % (19346)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)
% 0.19/0.52  % (19375)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)
% 0.19/0.52  % (19347)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)
% 0.19/0.52  % (19345)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52  % (19374)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)
% 0.19/0.53  % (19347)Instruction limit reached!
% 0.19/0.53  % (19347)------------------------------
% 0.19/0.53  % (19347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (19347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (19347)Termination reason: Unknown
% 0.19/0.53  % (19347)Termination phase: Property scanning
% 0.19/0.53  
% 0.19/0.53  % (19347)Memory used [KB]: 1535
% 0.19/0.53  % (19347)Time elapsed: 0.003 s
% 0.19/0.53  % (19347)Instructions burned: 4 (million)
% 0.19/0.53  % (19347)------------------------------
% 0.19/0.53  % (19347)------------------------------
% 0.19/0.53  % (19375)Instruction limit reached!
% 0.19/0.53  % (19375)------------------------------
% 0.19/0.53  % (19375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (19375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (19375)Termination reason: Unknown
% 0.19/0.53  % (19375)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (19375)Memory used [KB]: 6140
% 0.19/0.53  % (19375)Time elapsed: 0.129 s
% 0.19/0.53  % (19375)Instructions burned: 8 (million)
% 0.19/0.53  % (19375)------------------------------
% 0.19/0.53  % (19375)------------------------------
% 0.19/0.53  % (19359)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)
% 0.19/0.53  % (19348)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)
% 0.19/0.53  % (19354)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)
% 0.19/0.53  % (19351)Instruction limit reached!
% 0.19/0.53  % (19351)------------------------------
% 0.19/0.53  % (19351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (19351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (19351)Termination reason: Unknown
% 0.19/0.53  % (19351)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (19351)Memory used [KB]: 1791
% 0.19/0.53  % (19351)Time elapsed: 0.129 s
% 0.19/0.53  % (19351)Instructions burned: 17 (million)
% 0.19/0.53  % (19351)------------------------------
% 0.19/0.53  % (19351)------------------------------
% 0.19/0.53  % (19366)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)
% 0.19/0.53  % (19373)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)
% 0.19/0.54  % (19370)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)
% 0.19/0.54  % (19365)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)
% 0.19/0.54  % (19365)Instruction limit reached!
% 0.19/0.54  % (19365)------------------------------
% 0.19/0.54  % (19365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (19365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (19365)Termination reason: Unknown
% 0.19/0.54  % (19365)Termination phase: Property scanning
% 0.19/0.54  
% 0.19/0.54  % (19365)Memory used [KB]: 1535
% 0.19/0.54  % (19365)Time elapsed: 0.002 s
% 0.19/0.54  % (19365)Instructions burned: 3 (million)
% 0.19/0.54  % (19365)------------------------------
% 0.19/0.54  % (19365)------------------------------
% 0.19/0.54  % (19358)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)
% 0.19/0.54  % (19373)First to succeed.
% 0.19/0.54  % (19356)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)
% 0.19/0.54  % (19371)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)
% 0.19/0.54  % (19364)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54  % (19358)Instruction limit reached!
% 0.19/0.54  % (19358)------------------------------
% 0.19/0.54  % (19358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (19372)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)
% 0.19/0.54  % (19377)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)
% 0.19/0.54  % (19346)Instruction limit reached!
% 0.19/0.54  % (19346)------------------------------
% 0.19/0.54  % (19346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (19362)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)
% 0.19/0.54  % (19356)Instruction limit reached!
% 0.19/0.54  % (19356)------------------------------
% 0.19/0.54  % (19356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (19352)Instruction limit reached!
% 0.19/0.54  % (19352)------------------------------
% 0.19/0.54  % (19352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (19363)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)
% 0.19/0.55  % (19362)Instruction limit reached!
% 0.19/0.55  % (19362)------------------------------
% 0.19/0.55  % (19362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (19362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (19362)Termination reason: Unknown
% 0.19/0.55  % (19362)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (19362)Memory used [KB]: 6140
% 0.19/0.55  % (19362)Time elapsed: 0.006 s
% 0.19/0.55  % (19362)Instructions burned: 9 (million)
% 0.19/0.55  % (19362)------------------------------
% 0.19/0.55  % (19362)------------------------------
% 0.19/0.55  % (19352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (19352)Termination reason: Unknown
% 0.19/0.55  % (19352)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (19352)Memory used [KB]: 6524
% 0.19/0.55  % (19352)Time elapsed: 0.095 s
% 0.19/0.55  % (19352)Instructions burned: 40 (million)
% 0.19/0.55  % (19352)------------------------------
% 0.19/0.55  % (19352)------------------------------
% 0.19/0.55  % (19364)Instruction limit reached!
% 0.19/0.55  % (19364)------------------------------
% 0.19/0.55  % (19364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (19364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (19364)Termination reason: Unknown
% 0.19/0.55  % (19364)Termination phase: Function definition elimination
% 0.19/0.55  
% 0.19/0.55  % (19364)Memory used [KB]: 1535
% 0.19/0.55  % (19364)Time elapsed: 0.005 s
% 0.19/0.55  % (19364)Instructions burned: 4 (million)
% 0.19/0.55  % (19364)------------------------------
% 0.19/0.55  % (19364)------------------------------
% 0.19/0.55  % (19350)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)
% 0.19/0.55  % (19358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (19358)Termination reason: Unknown
% 0.19/0.55  % (19358)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (19358)Memory used [KB]: 6140
% 0.19/0.55  % (19358)Time elapsed: 0.005 s
% 0.19/0.55  % (19358)Instructions burned: 7 (million)
% 0.19/0.55  % (19358)------------------------------
% 0.19/0.55  % (19358)------------------------------
% 0.19/0.56  % (19366)Instruction limit reached!
% 0.19/0.56  % (19366)------------------------------
% 0.19/0.56  % (19366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (19366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (19366)Termination reason: Unknown
% 0.19/0.56  % (19366)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (19366)Memory used [KB]: 6268
% 0.19/0.56  % (19366)Time elapsed: 0.143 s
% 0.19/0.56  % (19366)Instructions burned: 12 (million)
% 0.19/0.56  % (19366)------------------------------
% 0.19/0.56  % (19366)------------------------------
% 0.19/0.56  % (19373)Refutation found. Thanks to Tanya!
% 0.19/0.56  % SZS status Theorem for theBenchmark
% 0.19/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56  % (19373)------------------------------
% 0.19/0.56  % (19373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (19373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (19373)Termination reason: Refutation
% 0.19/0.56  
% 0.19/0.56  % (19373)Memory used [KB]: 6268
% 0.19/0.56  % (19373)Time elapsed: 0.140 s
% 0.19/0.56  % (19373)Instructions burned: 9 (million)
% 0.19/0.56  % (19373)------------------------------
% 0.19/0.56  % (19373)------------------------------
% 0.19/0.56  % (19338)Success in time 0.205 s
%------------------------------------------------------------------------------