TSTP Solution File: SET980+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET980+1 : TPTP v8.1.0. Bugfixed 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 : n010.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 18:22:56 EDT 2022

% Result   : Theorem 1.61s 0.55s
% Output   : Refutation 1.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   70 (  13 unt;   0 def)
%            Number of atoms       :  208 (  85 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  227 (  89   ~;  89   |;  37   &)
%                                         (   4 <=>;   7  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :  134 ( 111   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f392,plain,
    $false,
    inference(unit_resulting_resolution,[],[f282,f378,f385,f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ~ in(sK0(X0,X1),X1)
      | X0 = X1
      | ~ in(sK0(X0,X1),X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ( ( ~ in(sK0(X0,X1),X1)
          | ~ in(sK0(X0,X1),X0) )
        & ( in(sK0(X0,X1),X1)
          | in(sK0(X0,X1),X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ in(X2,X1)
            | ~ in(X2,X0) )
          & ( in(X2,X1)
            | in(X2,X0) ) )
     => ( ( ~ in(sK0(X0,X1),X1)
          | ~ in(sK0(X0,X1),X0) )
        & ( in(sK0(X0,X1),X1)
          | in(sK0(X0,X1),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( ( ~ in(X2,X1)
            | ~ in(X2,X0) )
          & ( in(X2,X1)
            | in(X2,X0) ) ) ),
    inference(rectify,[],[f22]) ).

fof(f22,plain,
    ! [X1,X0] :
      ( X0 = X1
      | ? [X2] :
          ( ( ~ in(X2,X0)
            | ~ in(X2,X1) )
          & ( in(X2,X0)
            | in(X2,X1) ) ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X1,X0] :
      ( X0 = X1
      | ? [X2] :
          ( in(X2,X1)
        <~> in(X2,X0) ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( in(X2,X1)
        <=> in(X2,X0) )
     => X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).

fof(f385,plain,
    in(sK0(sK4,sK2),sK2),
    inference(resolution,[],[f378,f114]) ).

fof(f114,plain,
    ! [X4] :
      ( ~ in(X4,sK4)
      | in(X4,sK2) ),
    inference(resolution,[],[f97,f93]) ).

fof(f93,plain,
    in(sK6(sK3),sK1),
    inference(subsumption_resolution,[],[f92,f49]) ).

fof(f49,plain,
    empty_set != sK3,
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ( empty_set != sK3
    & ( sK3 != sK1
      | sK2 != sK4 )
    & empty_set != sK2
    & cartesian_product2(sK3,sK2) = cartesian_product2(sK1,sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f26,f27]) ).

fof(f27,plain,
    ( ? [X0,X1,X2,X3] :
        ( empty_set != X2
        & ( X0 != X2
          | X1 != X3 )
        & empty_set != X1
        & cartesian_product2(X2,X1) = cartesian_product2(X0,X3) )
   => ( empty_set != sK3
      & ( sK3 != sK1
        | sK2 != sK4 )
      & empty_set != sK2
      & cartesian_product2(sK3,sK2) = cartesian_product2(sK1,sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f26,plain,
    ? [X0,X1,X2,X3] :
      ( empty_set != X2
      & ( X0 != X2
        | X1 != X3 )
      & empty_set != X1
      & cartesian_product2(X2,X1) = cartesian_product2(X0,X3) ),
    inference(rectify,[],[f21]) ).

fof(f21,plain,
    ? [X3,X1,X0,X2] :
      ( empty_set != X0
      & ( X0 != X3
        | X1 != X2 )
      & empty_set != X1
      & cartesian_product2(X0,X1) = cartesian_product2(X3,X2) ),
    inference(flattening,[],[f20]) ).

fof(f20,plain,
    ? [X2,X3,X0,X1] :
      ( ( X0 != X3
        | X1 != X2 )
      & empty_set != X1
      & empty_set != X0
      & cartesian_product2(X0,X1) = cartesian_product2(X3,X2) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ~ ! [X2,X3,X0,X1] :
        ( cartesian_product2(X0,X1) = cartesian_product2(X3,X2)
       => ( ( X1 = X2
            & X0 = X3 )
          | empty_set = X1
          | empty_set = X0 ) ),
    inference(rectify,[],[f12]) ).

fof(f12,negated_conjecture,
    ~ ! [X0,X1,X3,X2] :
        ( cartesian_product2(X2,X3) = cartesian_product2(X0,X1)
       => ( ( X0 = X2
            & X1 = X3 )
          | empty_set = X1
          | empty_set = X0 ) ),
    inference(negated_conjecture,[],[f11]) ).

fof(f11,conjecture,
    ! [X0,X1,X3,X2] :
      ( cartesian_product2(X2,X3) = cartesian_product2(X0,X1)
     => ( ( X0 = X2
          & X1 = X3 )
        | empty_set = X1
        | empty_set = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t134_zfmisc_1) ).

fof(f92,plain,
    ( in(sK6(sK3),sK1)
    | empty_set = sK3 ),
    inference(resolution,[],[f84,f55]) ).

fof(f55,plain,
    ! [X0] :
      ( in(sK6(X0),X0)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ( empty_set = X0
        | in(sK6(X0),X0) )
      & ( ! [X2] : ~ in(X2,X0)
        | empty_set != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f33,f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ? [X1] : in(X1,X0)
     => in(sK6(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f33,plain,
    ! [X0] :
      ( ( empty_set = X0
        | ? [X1] : in(X1,X0) )
      & ( ! [X2] : ~ in(X2,X0)
        | empty_set != X0 ) ),
    inference(rectify,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ( empty_set = X0
        | ? [X1] : in(X1,X0) )
      & ( ! [X1] : ~ in(X1,X0)
        | empty_set != X0 ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( empty_set = X0
    <=> ! [X1] : ~ in(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).

fof(f84,plain,
    ! [X4] :
      ( ~ in(X4,sK3)
      | in(X4,sK1) ),
    inference(subsumption_resolution,[],[f83,f47]) ).

fof(f47,plain,
    empty_set != sK2,
    inference(cnf_transformation,[],[f28]) ).

fof(f83,plain,
    ! [X4] :
      ( in(X4,sK1)
      | empty_set = sK2
      | ~ in(X4,sK3) ),
    inference(resolution,[],[f76,f55]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ in(X1,sK2)
      | in(X0,sK1)
      | ~ in(X0,sK3) ),
    inference(resolution,[],[f72,f68]) ).

fof(f68,plain,
    ! [X2,X3,X0,X1] :
      ( in(unordered_pair(unordered_pair(X2,X0),singleton(X2)),cartesian_product2(X3,X1))
      | ~ in(X0,X1)
      | ~ in(X2,X3) ),
    inference(definition_unfolding,[],[f56,f64]) ).

fof(f64,plain,
    ! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(unordered_pair(X1,X0),singleton(X1)),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(unordered_pair(X1,X0),singleton(X1)),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).

fof(f56,plain,
    ! [X2,X3,X0,X1] :
      ( in(ordered_pair(X2,X0),cartesian_product2(X3,X1))
      | ~ in(X2,X3)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( in(X2,X3)
          & in(X0,X1) )
        | ~ in(ordered_pair(X2,X0),cartesian_product2(X3,X1)) )
      & ( in(ordered_pair(X2,X0),cartesian_product2(X3,X1))
        | ~ in(X2,X3)
        | ~ in(X0,X1) ) ),
    inference(rectify,[],[f37]) ).

fof(f37,plain,
    ! [X1,X2,X3,X0] :
      ( ( ( in(X3,X0)
          & in(X1,X2) )
        | ~ in(ordered_pair(X3,X1),cartesian_product2(X0,X2)) )
      & ( in(ordered_pair(X3,X1),cartesian_product2(X0,X2))
        | ~ in(X3,X0)
        | ~ in(X1,X2) ) ),
    inference(flattening,[],[f36]) ).

fof(f36,plain,
    ! [X1,X2,X3,X0] :
      ( ( ( in(X3,X0)
          & in(X1,X2) )
        | ~ in(ordered_pair(X3,X1),cartesian_product2(X0,X2)) )
      & ( in(ordered_pair(X3,X1),cartesian_product2(X0,X2))
        | ~ in(X3,X0)
        | ~ in(X1,X2) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X1,X2,X3,X0] :
      ( ( in(X3,X0)
        & in(X1,X2) )
    <=> in(ordered_pair(X3,X1),cartesian_product2(X0,X2)) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X2,X1,X3,X0] :
      ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
    <=> ( in(X0,X2)
        & in(X1,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(sK3,sK2))
      | in(X0,sK1) ),
    inference(superposition,[],[f66,f46]) ).

fof(f46,plain,
    cartesian_product2(sK3,sK2) = cartesian_product2(sK1,sK4),
    inference(cnf_transformation,[],[f28]) ).

fof(f66,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(unordered_pair(unordered_pair(X2,X0),singleton(X2)),cartesian_product2(X3,X1))
      | in(X2,X3) ),
    inference(definition_unfolding,[],[f58,f64]) ).

fof(f58,plain,
    ! [X2,X3,X0,X1] :
      ( in(X2,X3)
      | ~ in(ordered_pair(X2,X0),cartesian_product2(X3,X1)) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f97,plain,
    ! [X6,X7] :
      ( ~ in(X7,sK1)
      | ~ in(X6,sK4)
      | in(X6,sK2) ),
    inference(resolution,[],[f75,f67]) ).

fof(f67,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(unordered_pair(unordered_pair(X2,X0),singleton(X2)),cartesian_product2(X3,X1))
      | in(X0,X1) ),
    inference(definition_unfolding,[],[f57,f64]) ).

fof(f57,plain,
    ! [X2,X3,X0,X1] :
      ( in(X0,X1)
      | ~ in(ordered_pair(X2,X0),cartesian_product2(X3,X1)) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f75,plain,
    ! [X4,X5] :
      ( in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),cartesian_product2(sK3,sK2))
      | ~ in(X5,sK4)
      | ~ in(X4,sK1) ),
    inference(superposition,[],[f68,f46]) ).

fof(f378,plain,
    in(sK0(sK4,sK2),sK4),
    inference(subsumption_resolution,[],[f374,f282]) ).

fof(f374,plain,
    ( sK2 = sK4
    | in(sK0(sK4,sK2),sK4) ),
    inference(factoring,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( in(sK0(X0,sK2),sK4)
      | in(sK0(X0,sK2),X0)
      | sK2 = X0 ),
    inference(resolution,[],[f107,f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( in(sK0(X0,X1),X1)
      | in(sK0(X0,X1),X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f25]) ).

fof(f107,plain,
    ! [X4] :
      ( ~ in(X4,sK2)
      | in(X4,sK4) ),
    inference(subsumption_resolution,[],[f106,f49]) ).

fof(f106,plain,
    ! [X4] :
      ( in(X4,sK4)
      | empty_set = sK3
      | ~ in(X4,sK2) ),
    inference(resolution,[],[f85,f55]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ~ in(X1,sK3)
      | in(X0,sK4)
      | ~ in(X0,sK2) ),
    inference(resolution,[],[f73,f68]) ).

fof(f73,plain,
    ! [X2,X3] :
      ( ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),cartesian_product2(sK3,sK2))
      | in(X3,sK4) ),
    inference(superposition,[],[f67,f46]) ).

fof(f282,plain,
    sK2 != sK4,
    inference(trivial_inequality_removal,[],[f248]) ).

fof(f248,plain,
    ( sK1 != sK1
    | sK2 != sK4 ),
    inference(backward_demodulation,[],[f48,f246]) ).

fof(f246,plain,
    sK3 = sK1,
    inference(subsumption_resolution,[],[f245,f212]) ).

fof(f212,plain,
    ( in(sK0(sK1,sK3),sK1)
    | sK3 = sK1 ),
    inference(factoring,[],[f90]) ).

fof(f90,plain,
    ! [X0] :
      ( in(sK0(X0,sK3),sK1)
      | in(sK0(X0,sK3),X0)
      | sK3 = X0 ),
    inference(resolution,[],[f84,f44]) ).

fof(f245,plain,
    ( ~ in(sK0(sK1,sK3),sK1)
    | sK3 = sK1 ),
    inference(duplicate_literal_removal,[],[f241]) ).

fof(f241,plain,
    ( sK3 = sK1
    | ~ in(sK0(sK1,sK3),sK1)
    | sK3 = sK1 ),
    inference(resolution,[],[f234,f45]) ).

fof(f234,plain,
    ( in(sK0(sK1,sK3),sK3)
    | sK3 = sK1 ),
    inference(resolution,[],[f220,f125]) ).

fof(f125,plain,
    in(sK6(sK2),sK4),
    inference(subsumption_resolution,[],[f124,f47]) ).

fof(f124,plain,
    ( in(sK6(sK2),sK4)
    | empty_set = sK2 ),
    inference(resolution,[],[f107,f55]) ).

fof(f220,plain,
    ! [X1] :
      ( ~ in(X1,sK4)
      | in(sK0(sK1,sK3),sK3)
      | sK3 = sK1 ),
    inference(resolution,[],[f212,f96]) ).

fof(f96,plain,
    ! [X4,X5] :
      ( ~ in(X5,sK1)
      | in(X5,sK3)
      | ~ in(X4,sK4) ),
    inference(resolution,[],[f75,f66]) ).

fof(f48,plain,
    ( sK3 != sK1
    | sK2 != sK4 ),
    inference(cnf_transformation,[],[f28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SET980+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.06/0.12  % 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 : n010.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 14:25:59 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.17/0.45  % (15970)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)
% 0.17/0.45  % (15970)Refutation not found, incomplete strategy% (15970)------------------------------
% 0.17/0.45  % (15970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.45  % (15970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.45  % (15970)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.45  
% 0.17/0.45  % (15970)Memory used [KB]: 6012
% 0.17/0.45  % (15970)Time elapsed: 0.058 s
% 0.17/0.45  % (15970)Instructions burned: 3 (million)
% 0.17/0.45  % (15970)------------------------------
% 0.17/0.45  % (15970)------------------------------
% 0.17/0.46  % (15997)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)
% 0.17/0.46  % (15971)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)
% 0.17/0.46  % (15971)Instruction limit reached!
% 0.17/0.46  % (15971)------------------------------
% 0.17/0.46  % (15971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.46  % (15971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.46  % (15971)Termination reason: Unknown
% 0.17/0.46  % (15971)Termination phase: Saturation
% 0.17/0.46  
% 0.17/0.46  % (15971)Memory used [KB]: 5884
% 0.17/0.46  % (15971)Time elapsed: 0.077 s
% 0.17/0.46  % (15971)Instructions burned: 3 (million)
% 0.17/0.46  % (15971)------------------------------
% 0.17/0.46  % (15971)------------------------------
% 0.17/0.48  % (15987)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)
% 0.17/0.49  % (15974)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)
% 0.17/0.49  % (16001)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)
% 0.17/0.49  % (15993)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)
% 0.17/0.49  % (15973)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)
% 0.17/0.50  % (15976)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)
% 0.17/0.50  % (15995)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)
% 0.17/0.50  % (15981)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)
% 0.17/0.50  % (15987)Instruction limit reached!
% 0.17/0.50  % (15987)------------------------------
% 0.17/0.50  % (15987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50  % (15987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50  % (15987)Termination reason: Unknown
% 0.17/0.50  % (15987)Termination phase: Saturation
% 0.17/0.50  
% 0.17/0.50  % (15987)Memory used [KB]: 6012
% 0.17/0.50  % (15987)Time elapsed: 0.078 s
% 0.17/0.50  % (15987)Instructions burned: 8 (million)
% 0.17/0.50  % (15987)------------------------------
% 0.17/0.50  % (15987)------------------------------
% 0.17/0.50  % (15994)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)
% 0.17/0.51  % (15999)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)
% 0.17/0.51  % (15981)Instruction limit reached!
% 0.17/0.51  % (15981)------------------------------
% 0.17/0.51  % (15981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51  % (15985)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)
% 0.17/0.51  % (15972)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)
% 0.17/0.51  % (15989)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.17/0.51  % (15979)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)
% 0.17/0.51  % (15982)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)
% 0.17/0.51  % (15982)Refutation not found, incomplete strategy% (15982)------------------------------
% 0.17/0.51  % (15982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51  % (15982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51  % (15982)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.51  
% 0.17/0.51  % (15982)Memory used [KB]: 1407
% 0.17/0.51  % (15982)Time elapsed: 0.137 s
% 0.17/0.51  % (15982)Instructions burned: 3 (million)
% 0.17/0.51  % (15982)------------------------------
% 0.17/0.51  % (15982)------------------------------
% 0.17/0.51  % (15969)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.17/0.51  % (15981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51  % (15981)Termination reason: Unknown
% 0.17/0.51  % (15981)Termination phase: Saturation
% 0.17/0.51  
% 0.17/0.51  % (15981)Memory used [KB]: 6012
% 0.17/0.51  % (15981)Time elapsed: 0.130 s
% 0.17/0.51  % (15981)Instructions burned: 8 (million)
% 0.17/0.51  % (15981)------------------------------
% 0.17/0.51  % (15981)------------------------------
% 0.17/0.52  % (15977)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)
% 0.17/0.52  % (15985)Instruction limit reached!
% 0.17/0.52  % (15985)------------------------------
% 0.17/0.52  % (15985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (15973)Instruction limit reached!
% 0.17/0.52  % (15973)------------------------------
% 0.17/0.52  % (15973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (15974)Instruction limit reached!
% 0.17/0.52  % (15974)------------------------------
% 0.17/0.52  % (15974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (15974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52  % (15974)Termination reason: Unknown
% 0.17/0.52  % (15974)Termination phase: Saturation
% 0.17/0.52  
% 0.17/0.52  % (15974)Memory used [KB]: 1535
% 0.17/0.52  % (15974)Time elapsed: 0.127 s
% 0.17/0.52  % (15974)Instructions burned: 17 (million)
% 0.17/0.52  % (15974)------------------------------
% 0.17/0.52  % (15974)------------------------------
% 0.17/0.52  % (15989)Instruction limit reached!
% 0.17/0.52  % (15989)------------------------------
% 0.17/0.52  % (15989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (15989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52  % (15989)Termination reason: Unknown
% 0.17/0.52  % (15989)Termination phase: Finite model building preprocessing
% 0.17/0.52  
% 0.17/0.52  % (15989)Memory used [KB]: 1407
% 0.17/0.52  % (15989)Time elapsed: 0.003 s
% 0.17/0.52  % (15989)Instructions burned: 3 (million)
% 0.17/0.52  % (15989)------------------------------
% 0.17/0.52  % (15989)------------------------------
% 0.17/0.52  % (15991)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)
% 0.17/0.52  % (16000)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)
% 0.17/0.52  % (15991)Refutation not found, incomplete strategy% (15991)------------------------------
% 0.17/0.52  % (15991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.53  % (15996)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)
% 1.47/0.53  % (15991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.53  % (15991)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.53  
% 1.47/0.53  % (15991)Memory used [KB]: 5884
% 1.47/0.53  % (15991)Time elapsed: 0.145 s
% 1.47/0.53  % (15991)Instructions burned: 3 (million)
% 1.47/0.53  % (15991)------------------------------
% 1.47/0.53  % (15991)------------------------------
% 1.47/0.53  % (15973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.53  % (15973)Termination reason: Unknown
% 1.47/0.53  % (15973)Termination phase: Saturation
% 1.47/0.53  
% 1.47/0.53  % (15973)Memory used [KB]: 6140
% 1.47/0.53  % (15973)Time elapsed: 0.119 s
% 1.47/0.53  % (15973)Instructions burned: 13 (million)
% 1.47/0.53  % (15973)------------------------------
% 1.47/0.53  % (15973)------------------------------
% 1.47/0.53  % (15995)First to succeed.
% 1.47/0.53  % (15985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.53  % (15985)Termination reason: Unknown
% 1.47/0.53  % (15985)Termination phase: Saturation
% 1.47/0.53  
% 1.47/0.53  % (15985)Memory used [KB]: 5884
% 1.47/0.53  % (15985)Time elapsed: 0.004 s
% 1.47/0.53  % (15985)Instructions burned: 3 (million)
% 1.47/0.53  % (15985)------------------------------
% 1.47/0.53  % (15985)------------------------------
% 1.47/0.53  % (15992)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)
% 1.47/0.53  % (15980)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)
% 1.47/0.53  % (15998)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)
% 1.47/0.53  % (16001)Instruction limit reached!
% 1.47/0.53  % (16001)------------------------------
% 1.47/0.53  % (16001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.53  % (16001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.53  % (16001)Termination reason: Unknown
% 1.47/0.53  % (16001)Termination phase: Saturation
% 1.47/0.53  
% 1.47/0.53  % (16001)Memory used [KB]: 6140
% 1.47/0.53  % (16001)Time elapsed: 0.130 s
% 1.47/0.53  % (16001)Instructions burned: 24 (million)
% 1.47/0.53  % (16001)------------------------------
% 1.47/0.53  % (16001)------------------------------
% 1.47/0.53  % (15975)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)
% 1.47/0.53  % (15990)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)
% 1.47/0.53  % (15990)Instruction limit reached!
% 1.47/0.53  % (15990)------------------------------
% 1.47/0.53  % (15990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.53  % (15980)Refutation not found, incomplete strategy% (15980)------------------------------
% 1.47/0.53  % (15980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.53  % (15990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.53  % (15990)Termination reason: Unknown
% 1.47/0.53  % (15990)Termination phase: Saturation
% 1.47/0.53  
% 1.47/0.53  % (15990)Memory used [KB]: 5884
% 1.47/0.53  % (15990)Time elapsed: 0.152 s
% 1.47/0.53  % (15990)Instructions burned: 3 (million)
% 1.47/0.53  % (15990)------------------------------
% 1.47/0.53  % (15990)------------------------------
% 1.47/0.53  % (15980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.53  % (15980)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.53  
% 1.47/0.53  % (15980)Memory used [KB]: 6012
% 1.47/0.53  % (15980)Time elapsed: 0.152 s
% 1.47/0.53  % (15980)Instructions burned: 2 (million)
% 1.47/0.53  % (15980)------------------------------
% 1.47/0.53  % (15980)------------------------------
% 1.47/0.54  % (15988)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)
% 1.61/0.54  % (15983)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)
% 1.61/0.54  % (16000)Refutation not found, incomplete strategy% (16000)------------------------------
% 1.61/0.54  % (16000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.54  % (16000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.54  % (16000)Termination reason: Refutation not found, incomplete strategy
% 1.61/0.54  
% 1.61/0.54  % (16000)Memory used [KB]: 6012
% 1.61/0.54  % (16000)Time elapsed: 0.158 s
% 1.61/0.54  % (16000)Instructions burned: 3 (million)
% 1.61/0.54  % (16000)------------------------------
% 1.61/0.54  % (16000)------------------------------
% 1.61/0.55  % (15992)Refutation not found, incomplete strategy% (15992)------------------------------
% 1.61/0.55  % (15992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.55  % (15995)Refutation found. Thanks to Tanya!
% 1.61/0.55  % SZS status Theorem for theBenchmark
% 1.61/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.55  % (15995)------------------------------
% 1.61/0.55  % (15995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.55  % (15995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.55  % (15995)Termination reason: Refutation
% 1.61/0.55  
% 1.61/0.55  % (15995)Memory used [KB]: 1663
% 1.61/0.55  % (15995)Time elapsed: 0.120 s
% 1.61/0.55  % (15995)Instructions burned: 21 (million)
% 1.61/0.55  % (15995)------------------------------
% 1.61/0.55  % (15995)------------------------------
% 1.61/0.55  % (15963)Success in time 0.207 s
%------------------------------------------------------------------------------