TSTP Solution File: GEO274+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO274+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n005.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 : Fri Sep  1 14:43:59 EDT 2023

% Result   : Theorem 41.33s 6.37s
% Output   : Refutation 41.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   82 (  31 unt;   0 def)
%            Number of atoms       :  306 ( 127 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  394 ( 170   ~; 147   |;  57   &)
%                                         (  12 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :  144 (; 126   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f106188,plain,
    $false,
    inference(unit_resulting_resolution,[],[f5648,f5685,f5666,f579,f576,f577,f591,f592,f81163,f5722,f1187]) ).

fof(f1187,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP231(X1)
      | X0 = X1
      | ~ ron(X0,X2)
      | ~ ron(X0,X3)
      | ~ ron(X1,X2)
      | ~ ron(X1,X3)
      | ~ sP228(X2)
      | ~ sP229(X3)
      | ~ sP230(X0)
      | X2 = X3 ),
    inference(general_splitting,[],[f1185,f1186_D]) ).

fof(f1186,plain,
    ! [X1,X5] :
      ( ~ rpoint(X5)
      | X1 != X5
      | sP231(X1) ),
    inference(cnf_transformation,[],[f1186_D]) ).

fof(f1186_D,plain,
    ! [X1] :
      ( ! [X5] :
          ( ~ rpoint(X5)
          | X1 != X5 )
    <=> ~ sP231(X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP231])]) ).

fof(f1185,plain,
    ! [X2,X3,X0,X1,X5] :
      ( X2 = X3
      | ~ rpoint(X5)
      | X1 != X5
      | X0 = X1
      | ~ ron(X0,X2)
      | ~ ron(X0,X3)
      | ~ ron(X1,X2)
      | ~ ron(X1,X3)
      | ~ sP228(X2)
      | ~ sP229(X3)
      | ~ sP230(X0) ),
    inference(general_splitting,[],[f1183,f1184_D]) ).

fof(f1184,plain,
    ! [X0,X4] :
      ( ~ rpoint(X4)
      | X0 != X4
      | sP230(X0) ),
    inference(cnf_transformation,[],[f1184_D]) ).

fof(f1184_D,plain,
    ! [X0] :
      ( ! [X4] :
          ( ~ rpoint(X4)
          | X0 != X4 )
    <=> ~ sP230(X0) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP230])]) ).

fof(f1183,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( X2 = X3
      | ~ rpoint(X4)
      | X0 != X4
      | ~ rpoint(X5)
      | X1 != X5
      | X0 = X1
      | ~ ron(X0,X2)
      | ~ ron(X0,X3)
      | ~ ron(X1,X2)
      | ~ ron(X1,X3)
      | ~ sP228(X2)
      | ~ sP229(X3) ),
    inference(general_splitting,[],[f1181,f1182_D]) ).

fof(f1182,plain,
    ! [X3,X7] :
      ( ~ rline(X7)
      | X3 != X7
      | sP229(X3) ),
    inference(cnf_transformation,[],[f1182_D]) ).

fof(f1182_D,plain,
    ! [X3] :
      ( ! [X7] :
          ( ~ rline(X7)
          | X3 != X7 )
    <=> ~ sP229(X3) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP229])]) ).

fof(f1181,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( X2 = X3
      | ~ rpoint(X4)
      | X0 != X4
      | ~ rpoint(X5)
      | X1 != X5
      | X0 = X1
      | ~ rline(X7)
      | X3 != X7
      | ~ ron(X0,X2)
      | ~ ron(X0,X3)
      | ~ ron(X1,X2)
      | ~ ron(X1,X3)
      | ~ sP228(X2) ),
    inference(general_splitting,[],[f700,f1180_D]) ).

fof(f1180,plain,
    ! [X2,X6] :
      ( ~ rline(X6)
      | X2 != X6
      | sP228(X2) ),
    inference(cnf_transformation,[],[f1180_D]) ).

fof(f1180_D,plain,
    ! [X2] :
      ( ! [X6] :
          ( ~ rline(X6)
          | X2 != X6 )
    <=> ~ sP228(X2) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP228])]) ).

fof(f700,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( X2 = X3
      | ~ rpoint(X4)
      | X0 != X4
      | ~ rpoint(X5)
      | X1 != X5
      | X0 = X1
      | ~ rline(X6)
      | X2 != X6
      | ~ rline(X7)
      | X3 != X7
      | ~ ron(X0,X2)
      | ~ ron(X0,X3)
      | ~ ron(X1,X2)
      | ~ ron(X1,X3) ),
    inference(cnf_transformation,[],[f320]) ).

fof(f320,plain,
    ! [X0,X1,X2,X3] :
      ( X2 = X3
      | ! [X4] :
          ( ~ rpoint(X4)
          | X0 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X1 != X5 )
      | X0 = X1
      | ! [X6] :
          ( ~ rline(X6)
          | X2 != X6 )
      | ! [X7] :
          ( ~ rline(X7)
          | X3 != X7 )
      | ~ ron(X0,X2)
      | ~ ron(X0,X3)
      | ~ ron(X1,X2)
      | ~ ron(X1,X3) ),
    inference(flattening,[],[f319]) ).

fof(f319,plain,
    ! [X0,X1,X2,X3] :
      ( X2 = X3
      | ! [X4] :
          ( ~ rpoint(X4)
          | X0 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X1 != X5 )
      | X0 = X1
      | ! [X6] :
          ( ~ rline(X6)
          | X2 != X6 )
      | ! [X7] :
          ( ~ rline(X7)
          | X3 != X7 )
      | ~ ron(X0,X2)
      | ~ ron(X0,X3)
      | ~ ron(X1,X2)
      | ~ ron(X1,X3) ),
    inference(ennf_transformation,[],[f167]) ).

fof(f167,plain,
    ! [X0,X1,X2,X3] :
      ( ( ? [X4] :
            ( rpoint(X4)
            & X0 = X4 )
        & ? [X5] :
            ( rpoint(X5)
            & X1 = X5 )
        & X0 != X1
        & ? [X6] :
            ( rline(X6)
            & X2 = X6 )
        & ? [X7] :
            ( rline(X7)
            & X3 = X7 )
        & ron(X0,X2)
        & ron(X0,X3)
        & ron(X1,X2)
        & ron(X1,X3) )
     => X2 = X3 ),
    inference(rectify,[],[f67]) ).

fof(f67,axiom,
    ! [X368,X369,X370,X371] :
      ( ( ? [X375] :
            ( rpoint(X375)
            & X368 = X375 )
        & ? [X374] :
            ( rpoint(X374)
            & X369 = X374 )
        & X368 != X369
        & ? [X373] :
            ( rline(X373)
            & X370 = X373 )
        & ? [X372] :
            ( rline(X372)
            & X371 = X372 )
        & ron(X368,X370)
        & ron(X368,X371)
        & ron(X369,X370)
        & ron(X369,X371) )
     => X370 = X371 ),
    file('/export/starexec/sandbox/tmp/tmp.u6HSd2vFpr/Vampire---4.8_20785','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).

fof(f5722,plain,
    sP231(vd1089),
    inference(equality_resolution,[],[f5706]) ).

fof(f5706,plain,
    ! [X0] :
      ( vd1089 != X0
      | sP231(X0) ),
    inference(resolution,[],[f1186,f583]) ).

fof(f583,plain,
    rpoint(vd1089),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    rpoint(vd1089),
    file('/export/starexec/sandbox/tmp/tmp.u6HSd2vFpr/Vampire---4.8_20785','pred(226, 0)') ).

fof(f81163,plain,
    vd1089 != vd1080,
    inference(unit_resulting_resolution,[],[f2838,f2825,f79789,f887]) ).

fof(f887,plain,
    ! [X0,X1] :
      ( ~ sP81(X1)
      | X0 != X1
      | ~ sP80(X0)
      | v0 = vf(X0,X1) ),
    inference(general_splitting,[],[f885,f886_D]) ).

fof(f886,plain,
    ! [X3,X1] :
      ( ~ rpoint(X3)
      | X1 != X3
      | sP81(X1) ),
    inference(cnf_transformation,[],[f886_D]) ).

fof(f886_D,plain,
    ! [X1] :
      ( ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 )
    <=> ~ sP81(X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP81])]) ).

fof(f885,plain,
    ! [X3,X0,X1] :
      ( v0 = vf(X0,X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X1 != X3
      | ~ sP80(X0) ),
    inference(general_splitting,[],[f630,f884_D]) ).

fof(f884,plain,
    ! [X2,X0] :
      ( ~ rpoint(X2)
      | X0 != X2
      | sP80(X0) ),
    inference(cnf_transformation,[],[f884_D]) ).

fof(f884_D,plain,
    ! [X0] :
      ( ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
    <=> ~ sP80(X0) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP80])]) ).

fof(f630,plain,
    ! [X2,X3,X0,X1] :
      ( v0 = vf(X0,X1)
      | X0 != X1
      | ~ rpoint(X2)
      | X0 != X2
      | ~ rpoint(X3)
      | X1 != X3 ),
    inference(cnf_transformation,[],[f466]) ).

fof(f466,plain,
    ! [X0,X1] :
      ( ( ( v0 = vf(X0,X1)
          | X0 != X1 )
        & ( X0 = X1
          | v0 != vf(X0,X1) ) )
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 ) ),
    inference(nnf_transformation,[],[f254]) ).

fof(f254,plain,
    ! [X0,X1] :
      ( ( v0 = vf(X0,X1)
      <=> X0 = X1 )
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 ) ),
    inference(flattening,[],[f253]) ).

fof(f253,plain,
    ! [X0,X1] :
      ( ( v0 = vf(X0,X1)
      <=> X0 = X1 )
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 ) ),
    inference(ennf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( rpoint(X2)
            & X0 = X2 )
        & ? [X3] :
            ( rpoint(X3)
            & X1 = X3 ) )
     => ( v0 = vf(X0,X1)
      <=> X0 = X1 ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X6,X7] :
      ( ( ? [X9] :
            ( rpoint(X9)
            & X6 = X9 )
        & ? [X8] :
            ( rpoint(X8)
            & X7 = X8 ) )
     => ( vf(X6,X7) = v0
      <=> X6 = X7 ) ),
    file('/export/starexec/sandbox/tmp/tmp.u6HSd2vFpr/Vampire---4.8_20785','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).

fof(f79789,plain,
    vf(vd1089,vd1080) != v0,
    inference(superposition,[],[f79774,f589]) ).

fof(f589,plain,
    vf(vd1089,vd1080) = vf(vd1085,vd1080),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    vf(vd1089,vd1080) = vf(vd1085,vd1080),
    file('/export/starexec/sandbox/tmp/tmp.u6HSd2vFpr/Vampire---4.8_20785','holds(226, 1090, 1)') ).

fof(f79774,plain,
    vf(vd1085,vd1080) != v0,
    inference(unit_resulting_resolution,[],[f2863,f586,f2894,f891]) ).

fof(f891,plain,
    ! [X0,X1] :
      ( ~ sP83(X1)
      | v0 != vf(X0,X1)
      | ~ sP82(X0)
      | X0 = X1 ),
    inference(general_splitting,[],[f889,f890_D]) ).

fof(f890,plain,
    ! [X3,X1] :
      ( ~ rpoint(X3)
      | X1 != X3
      | sP83(X1) ),
    inference(cnf_transformation,[],[f890_D]) ).

fof(f890_D,plain,
    ! [X1] :
      ( ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 )
    <=> ~ sP83(X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP83])]) ).

fof(f889,plain,
    ! [X3,X0,X1] :
      ( X0 = X1
      | v0 != vf(X0,X1)
      | ~ rpoint(X3)
      | X1 != X3
      | ~ sP82(X0) ),
    inference(general_splitting,[],[f629,f888_D]) ).

fof(f888,plain,
    ! [X2,X0] :
      ( ~ rpoint(X2)
      | X0 != X2
      | sP82(X0) ),
    inference(cnf_transformation,[],[f888_D]) ).

fof(f888_D,plain,
    ! [X0] :
      ( ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
    <=> ~ sP82(X0) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP82])]) ).

fof(f629,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | v0 != vf(X0,X1)
      | ~ rpoint(X2)
      | X0 != X2
      | ~ rpoint(X3)
      | X1 != X3 ),
    inference(cnf_transformation,[],[f466]) ).

fof(f2894,plain,
    sP83(vd1080),
    inference(unit_resulting_resolution,[],[f842,f843,f890]) ).

fof(f843,plain,
    rpoint(sK59),
    inference(cnf_transformation,[],[f575]) ).

fof(f575,plain,
    ( rpoint(sK59)
    & vd1080 = sK59 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK59])],[f222,f574]) ).

fof(f574,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1080 = X0 )
   => ( rpoint(sK59)
      & vd1080 = sK59 ) ),
    introduced(choice_axiom,[]) ).

fof(f222,plain,
    ? [X0] :
      ( rpoint(X0)
      & vd1080 = X0 ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ? [X1] :
      ( rpoint(X1)
      & vd1080 = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.u6HSd2vFpr/Vampire---4.8_20785','qe(s1(plural(224)))') ).

fof(f842,plain,
    vd1080 = sK59,
    inference(cnf_transformation,[],[f575]) ).

fof(f586,plain,
    vd1080 != vd1085,
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    vd1080 != vd1085,
    file('/export/starexec/sandbox/tmp/tmp.u6HSd2vFpr/Vampire---4.8_20785','holds(conjunct1(225), 1087, 0)') ).

fof(f2863,plain,
    sP82(vd1085),
    inference(unit_resulting_resolution,[],[f587,f582,f888]) ).

fof(f582,plain,
    rpoint(vd1086),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    rpoint(vd1086),
    file('/export/starexec/sandbox/tmp/tmp.u6HSd2vFpr/Vampire---4.8_20785','pred(225, 1)') ).

fof(f587,plain,
    vd1085 = vd1086,
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    vd1085 = vd1086,
    file('/export/starexec/sandbox/tmp/tmp.u6HSd2vFpr/Vampire---4.8_20785','pred(225, 4)') ).

fof(f2825,plain,
    sP80(vd1089),
    inference(equality_resolution,[],[f2811]) ).

fof(f2811,plain,
    ! [X0] :
      ( vd1089 != X0
      | sP80(X0) ),
    inference(resolution,[],[f884,f583]) ).

fof(f2838,plain,
    sP81(vd1080),
    inference(unit_resulting_resolution,[],[f842,f843,f886]) ).

fof(f592,plain,
    ron(vd1080,vd1092),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( rline(vd1092)
    & ron(vd1080,vd1092)
    & ron(vd1089,vd1092) ),
    file('/export/starexec/sandbox/tmp/tmp.u6HSd2vFpr/Vampire---4.8_20785','and(pred(s2(plural(the(227))), 0), and(pred(s1(plural(the(227))), 0), pred(the(227), 0)))') ).

fof(f591,plain,
    ron(vd1089,vd1092),
    inference(cnf_transformation,[],[f3]) ).

fof(f577,plain,
    ron(vd1080,sK9),
    inference(cnf_transformation,[],[f443]) ).

fof(f443,plain,
    ( vd1092 != sK9
    & rline(sK9)
    & ron(vd1080,sK9)
    & ron(vd1089,sK9) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f224,f442]) ).

fof(f442,plain,
    ( ? [X0] :
        ( vd1092 != X0
        & rline(X0)
        & ron(vd1080,X0)
        & ron(vd1089,X0) )
   => ( vd1092 != sK9
      & rline(sK9)
      & ron(vd1080,sK9)
      & ron(vd1089,sK9) ) ),
    introduced(choice_axiom,[]) ).

fof(f224,plain,
    ? [X0] :
      ( vd1092 != X0
      & rline(X0)
      & ron(vd1080,X0)
      & ron(vd1089,X0) ),
    inference(flattening,[],[f223]) ).

fof(f223,plain,
    ? [X0] :
      ( vd1092 != X0
      & rline(X0)
      & ron(vd1080,X0)
      & ron(vd1089,X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( rline(X0)
          & ron(vd1080,X0)
          & ron(vd1089,X0) )
       => vd1092 = X0 ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( rline(X0)
        & ron(vd1080,X0)
        & ron(vd1089,X0) )
     => vd1092 = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.u6HSd2vFpr/Vampire---4.8_20785','qu(theu(the(227), 1), imp(the(227)))') ).

fof(f576,plain,
    ron(vd1089,sK9),
    inference(cnf_transformation,[],[f443]) ).

fof(f579,plain,
    vd1092 != sK9,
    inference(cnf_transformation,[],[f443]) ).

fof(f5666,plain,
    sP229(sK9),
    inference(equality_resolution,[],[f5664]) ).

fof(f5664,plain,
    ! [X0] :
      ( sK9 != X0
      | sP229(X0) ),
    inference(resolution,[],[f1182,f578]) ).

fof(f578,plain,
    rline(sK9),
    inference(cnf_transformation,[],[f443]) ).

fof(f5685,plain,
    sP230(vd1080),
    inference(unit_resulting_resolution,[],[f842,f843,f1184]) ).

fof(f5648,plain,
    sP228(vd1092),
    inference(equality_resolution,[],[f5646]) ).

fof(f5646,plain,
    ! [X1] :
      ( vd1092 != X1
      | sP228(X1) ),
    inference(resolution,[],[f1180,f593]) ).

fof(f593,plain,
    rline(vd1092),
    inference(cnf_transformation,[],[f3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15  % Problem    : GEO274+1 : TPTP v8.1.2. Released v4.1.0.
% 0.15/0.17  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.38  % Computer : n005.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Wed Aug 30 18:11:37 EDT 2023
% 0.16/0.38  % CPUTime    : 
% 0.23/0.44  % (21055)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (21100)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/0.46  % (21101)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/0.46  % (21103)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.46  % (21102)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.23/0.46  % (21104)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.23/0.46  % (21106)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.23/0.46  % (21107)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.23/0.50  Detected minimum model sizes of [3]
% 0.23/0.50  Detected maximum model sizes of [max]
% 0.23/0.50  Cannot represent all propositional literals internally
% 0.23/0.50  % (21103)Refutation not found, incomplete strategy% (21103)------------------------------
% 0.23/0.50  % (21103)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.50  % (21103)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.50  % (21103)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.50  
% 0.23/0.50  % (21103)Memory used [KB]: 8443
% 0.23/0.50  % (21103)Time elapsed: 0.040 s
% 0.23/0.50  % (21103)------------------------------
% 0.23/0.50  % (21103)------------------------------
% 0.23/0.50  % (21144)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on Vampire---4 for (411ds/0Mi)
% 0.23/0.54  Detected minimum model sizes of [3,3]
% 0.23/0.54  Detected maximum model sizes of [max,max]
% 0.23/0.54  Cannot represent all propositional literals internally
% 0.23/0.54  % (21144)Refutation not found, incomplete strategy% (21144)------------------------------
% 0.23/0.54  % (21144)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.54  % (21144)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.54  % (21144)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.54  
% 0.23/0.54  % (21144)Memory used [KB]: 8955
% 0.23/0.54  % (21144)Time elapsed: 0.042 s
% 0.23/0.54  % (21144)------------------------------
% 0.23/0.54  % (21144)------------------------------
% 0.23/0.55  % (21167)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on Vampire---4 for (382ds/0Mi)
% 3.63/1.02  Detected minimum model sizes of [3]
% 3.63/1.02  Detected maximum model sizes of [max]
% 3.63/1.02  Cannot represent all propositional literals internally
% 3.63/1.02  % (21100)Refutation not found, incomplete strategy% (21100)------------------------------
% 3.63/1.02  % (21100)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 3.63/1.02  % (21100)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 3.63/1.02  % (21100)Termination reason: Refutation not found, incomplete strategy
% 3.63/1.02  
% 3.63/1.02  % (21100)Memory used [KB]: 19189
% 3.63/1.02  % (21100)Time elapsed: 0.564 s
% 3.63/1.02  % (21100)------------------------------
% 3.63/1.02  % (21100)------------------------------
% 3.63/1.02  % (21350)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on Vampire---4 for (367ds/0Mi)
% 8.01/1.57  Detected minimum model sizes of [3]
% 8.01/1.57  Detected maximum model sizes of [max]
% 8.01/1.57  Cannot represent all propositional literals internally
% 8.01/1.57  % (21101)Refutation not found, incomplete strategy% (21101)------------------------------
% 8.01/1.57  % (21101)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 8.01/1.57  % (21101)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 8.01/1.57  % (21101)Termination reason: Refutation not found, incomplete strategy
% 8.01/1.57  
% 8.01/1.57  % (21101)Memory used [KB]: 20468
% 8.01/1.57  % (21101)Time elapsed: 1.116 s
% 8.01/1.57  % (21101)------------------------------
% 8.01/1.57  % (21101)------------------------------
% 8.01/1.58  % (21393)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on Vampire---4 for (354ds/0Mi)
% 41.33/6.36  % (21167)First to succeed.
% 41.33/6.37  % (21167)Refutation found. Thanks to Tanya!
% 41.33/6.37  % SZS status Theorem for Vampire---4
% 41.33/6.37  % SZS output start Proof for Vampire---4
% See solution above
% 41.33/6.37  % (21167)------------------------------
% 41.33/6.37  % (21167)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 41.33/6.37  % (21167)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 41.33/6.37  % (21167)Termination reason: Refutation
% 41.33/6.37  
% 41.33/6.37  % (21167)Memory used [KB]: 57056
% 41.33/6.37  % (21167)Time elapsed: 5.819 s
% 41.33/6.37  % (21167)------------------------------
% 41.33/6.37  % (21167)------------------------------
% 41.33/6.37  % (21055)Success in time 5.954 s
% 41.33/6.37  % Vampire---4.8 exiting
%------------------------------------------------------------------------------