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Vampire---5.0.1.CAX-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO294+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:52:22 AM UTC 2026

% Result   : ContradictoryAxioms 6.34s 2.06s
% Output   : Refutation 8.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  113 (  49 unt;   5 def)
%            Number of atoms       :  543 ( 187 equ)
%            Maximal formula atoms :   22 (   4 avg)
%            Number of connectives :  747 ( 317   ~; 329   |;  91   &)
%                                         (   8 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   6 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  21 con; 0-3 aty)
%            Number of variables   :  168 (   0 sgn 149   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    vangle(vd1201,vd1185,vd1187) = v0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(302, 1241, 0)') ).

fof(f7,axiom,
    vd1199 = vd1185,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(291, 1230, 0)') ).

fof(f9,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( ron(X2,X6)
        & ron(X0,X6)
        & X0 != X4
        & X0 != X2
        & X6 = X7
        & rline(X7)
        & X4 = X5
        & rpoint(X5)
        & X2 = X3
        & rpoint(X3)
        & X0 = X1
        & rpoint(X1) )
     => ( ( ~ rR(X0,X2,X4)
          & ron(X4,X6) )
      <=> vangle(X2,X0,X4) = v0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).

fof(f16,axiom,
    ( ~ ? [X0] :
          ( ron(vd1187,X0)
          & ron(vd1186,X0)
          & ron(vd1185,X0)
          & rline(X0) )
    & vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
    & vf(vd1178,vd1180) = vf(vd1185,vd1187)
    & vf(vd1178,vd1179) = vf(vd1185,vd1186)
    & ? [X1] :
        ( vd1187 = X1
        & rpoint(X1) )
    & ? [X2] :
        ( vd1186 = X2
        & rpoint(X2) )
    & ? [X3] :
        ( vd1185 = X3
        & rpoint(X3) )
    & vd1179 != vd1180
    & vd1178 != vd1180
    & vd1178 != vd1179
    & ? [X4] :
        ( vd1180 = X4
        & rpoint(X4) )
    & ? [X5] :
        ( vd1179 = X5
        & rpoint(X5) )
    & ? [X6] :
        ( vd1178 = X6
        & rpoint(X6) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).

fof(f27,axiom,
    ? [X0] :
      ( vd1201 = X0
      & rpoint(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).

fof(f29,axiom,
    ? [X0] :
      ( vd1199 = X0
      & rpoint(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(271)))') ).

fof(f31,axiom,
    ~ ron(vd1201,vd1232),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(296))') ).

fof(f35,axiom,
    ron(vd1201,vd1234),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(294)), 0)') ).

fof(f36,axiom,
    ron(vd1185,vd1234),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(294)), 0)') ).

fof(f37,axiom,
    rline(vd1234),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(294, 0)') ).

fof(f38,axiom,
    ron(vd1187,vd1232),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(293)), 0)') ).

fof(f39,axiom,
    ron(vd1185,vd1232),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(293)), 0)') ).

fof(f40,axiom,
    rline(vd1232),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(293, 0)') ).

fof(f45,axiom,
    ron(vd1185,vd1197),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(269)), 0)') ).

fof(f50,axiom,
    ~ ron(vd1187,vd1197),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(270))') ).

fof(f60,axiom,
    v0 = vd684,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).

fof(f92,axiom,
    ! [X0,X1,X2,X3] :
      ( ( ron(X1,X3)
        & ron(X1,X2)
        & ron(X0,X3)
        & ron(X0,X2)
        & ? [X4] :
            ( X3 = X4
            & rline(X4) )
        & ? [X5] :
            ( X2 = X5
            & rline(X5) )
        & X0 != X1
        & ? [X6] :
            ( X1 = X6
            & rpoint(X6) )
        & ? [X7] :
            ( X0 = X7
            & rpoint(X7) ) )
     => X2 = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).

fof(f157,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( ( ~ rR(X0,X2,X4)
          & ron(X4,X6) )
      <=> vangle(X2,X0,X4) = v0 )
      | ~ ron(X2,X6)
      | ~ ron(X0,X6)
      | X0 = X4
      | X0 = X2
      | X6 != X7
      | ~ rline(X7)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f158,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( ( ~ rR(X0,X2,X4)
          & ron(X4,X6) )
      <=> vangle(X2,X0,X4) = v0 )
      | ~ ron(X2,X6)
      | ~ ron(X0,X6)
      | X0 = X4
      | X0 = X2
      | X6 != X7
      | ~ rline(X7)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(flattening,[],[f157]) ).

fof(f165,plain,
    ( ! [X0] :
        ( ~ ron(vd1187,X0)
        | ~ ron(vd1186,X0)
        | ~ ron(vd1185,X0)
        | ~ rline(X0) )
    & vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
    & vf(vd1178,vd1180) = vf(vd1185,vd1187)
    & vf(vd1178,vd1179) = vf(vd1185,vd1186)
    & ? [X1] :
        ( vd1187 = X1
        & rpoint(X1) )
    & ? [X2] :
        ( vd1186 = X2
        & rpoint(X2) )
    & ? [X3] :
        ( vd1185 = X3
        & rpoint(X3) )
    & vd1179 != vd1180
    & vd1178 != vd1180
    & vd1178 != vd1179
    & ? [X4] :
        ( vd1180 = X4
        & rpoint(X4) )
    & ? [X5] :
        ( vd1179 = X5
        & rpoint(X5) )
    & ? [X6] :
        ( vd1178 = X6
        & rpoint(X6) ) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f251,plain,
    ! [X0,X1,X2,X3] :
      ( X2 = X3
      | ~ ron(X1,X3)
      | ~ ron(X1,X2)
      | ~ ron(X0,X3)
      | ~ ron(X0,X2)
      | ! [X4] :
          ( X3 != X4
          | ~ rline(X4) )
      | ! [X5] :
          ( X2 != X5
          | ~ rline(X5) )
      | X0 = X1
      | ! [X6] :
          ( X1 != X6
          | ~ rpoint(X6) )
      | ! [X7] :
          ( X0 != X7
          | ~ rpoint(X7) ) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f252,plain,
    ! [X0,X1,X2,X3] :
      ( X2 = X3
      | ~ ron(X1,X3)
      | ~ ron(X1,X2)
      | ~ ron(X0,X3)
      | ~ ron(X0,X2)
      | ! [X4] :
          ( X3 != X4
          | ~ rline(X4) )
      | ! [X5] :
          ( X2 != X5
          | ~ rline(X5) )
      | X0 = X1
      | ! [X6] :
          ( X1 != X6
          | ~ rpoint(X6) )
      | ! [X7] :
          ( X0 != X7
          | ~ rpoint(X7) ) ),
    inference(flattening,[],[f251]) ).

fof(f378,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( ( ( ~ rR(X0,X2,X4)
            & ron(X4,X6) )
          | v0 != vangle(X2,X0,X4) )
        & ( vangle(X2,X0,X4) = v0
          | rR(X0,X2,X4)
          | ~ ron(X4,X6) ) )
      | ~ ron(X2,X6)
      | ~ ron(X0,X6)
      | X0 = X4
      | X0 = X2
      | X6 != X7
      | ~ rline(X7)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(nnf_transformation,[],[f158]) ).

fof(f379,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( ( ( ~ rR(X0,X2,X4)
            & ron(X4,X6) )
          | v0 != vangle(X2,X0,X4) )
        & ( vangle(X2,X0,X4) = v0
          | rR(X0,X2,X4)
          | ~ ron(X4,X6) ) )
      | ~ ron(X2,X6)
      | ~ ron(X0,X6)
      | X0 = X4
      | X0 = X2
      | X6 != X7
      | ~ rline(X7)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(flattening,[],[f378]) ).

fof(f380,plain,
    ( ! [X0] :
        ( ~ ron(vd1187,X0)
        | ~ ron(vd1186,X0)
        | ~ ron(vd1185,X0)
        | ~ rline(X0) )
    & vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
    & vf(vd1178,vd1180) = vf(vd1185,vd1187)
    & vf(vd1178,vd1179) = vf(vd1185,vd1186)
    & vd1187 = sK1
    & rpoint(sK1)
    & vd1186 = sK2
    & rpoint(sK2)
    & vd1185 = sK3
    & rpoint(sK3)
    & vd1179 != vd1180
    & vd1178 != vd1180
    & vd1178 != vd1179
    & vd1180 = sK4
    & rpoint(sK4)
    & vd1179 = sK5
    & rpoint(sK5)
    & vd1178 = sK6
    & rpoint(sK6) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f165]) ).

fof(f381,plain,
    ( vd1201 = sK7
    & rpoint(sK7) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X0,sK7)],[f27]) ).

fof(f383,plain,
    ( vd1199 = sK9
    & rpoint(sK9) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X0,sK9)],[f29]) ).

fof(f456,plain,
    vangle(vd1201,vd1185,vd1187) = v0,
    inference(cnf_transformation,[],[f3]) ).

fof(f460,plain,
    vd1185 = vd1199,
    inference(cnf_transformation,[],[f7]) ).

fof(f463,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ron(X4,X6)
      | v0 != vangle(X2,X0,X4)
      | ~ ron(X2,X6)
      | ~ ron(X0,X6)
      | X0 = X4
      | X0 = X2
      | X6 != X7
      | ~ rline(X7)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(cnf_transformation,[],[f379]) ).

fof(f484,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f380]) ).

fof(f485,plain,
    vd1187 = sK1,
    inference(cnf_transformation,[],[f380]) ).

fof(f500,plain,
    rpoint(sK7),
    inference(cnf_transformation,[],[f381]) ).

fof(f501,plain,
    vd1201 = sK7,
    inference(cnf_transformation,[],[f381]) ).

fof(f504,plain,
    rpoint(sK9),
    inference(cnf_transformation,[],[f383]) ).

fof(f505,plain,
    vd1199 = sK9,
    inference(cnf_transformation,[],[f383]) ).

fof(f507,plain,
    ~ ron(vd1201,vd1232),
    inference(cnf_transformation,[],[f31]) ).

fof(f511,plain,
    ron(vd1201,vd1234),
    inference(cnf_transformation,[],[f35]) ).

fof(f512,plain,
    ron(vd1185,vd1234),
    inference(cnf_transformation,[],[f36]) ).

fof(f513,plain,
    rline(vd1234),
    inference(cnf_transformation,[],[f37]) ).

fof(f514,plain,
    ron(vd1187,vd1232),
    inference(cnf_transformation,[],[f38]) ).

fof(f515,plain,
    ron(vd1185,vd1232),
    inference(cnf_transformation,[],[f39]) ).

fof(f516,plain,
    rline(vd1232),
    inference(cnf_transformation,[],[f40]) ).

fof(f521,plain,
    ron(vd1185,vd1197),
    inference(cnf_transformation,[],[f45]) ).

fof(f529,plain,
    ~ ron(vd1187,vd1197),
    inference(cnf_transformation,[],[f50]) ).

fof(f541,plain,
    v0 = vd684,
    inference(cnf_transformation,[],[f60]) ).

fof(f586,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( X2 = X3
      | ~ ron(X1,X3)
      | ~ ron(X1,X2)
      | ~ ron(X0,X3)
      | ~ ron(X0,X2)
      | X3 != X4
      | ~ rline(X4)
      | X2 != X5
      | ~ rline(X5)
      | X0 = X1
      | X1 != X6
      | ~ rpoint(X6)
      | X0 != X7
      | ~ rpoint(X7) ),
    inference(cnf_transformation,[],[f252]) ).

fof(f766,plain,
    vd1185 = sK9,
    inference(definition_unfolding,[],[f460,f505]) ).

fof(f769,plain,
    vd684 = vangle(sK7,sK9,sK1),
    inference(definition_unfolding,[],[f456,f501,f766,f485,f541]) ).

fof(f774,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ron(X4,X6)
      | vangle(X2,X0,X4) != vd684
      | ~ ron(X2,X6)
      | ~ ron(X0,X6)
      | X0 = X4
      | X0 = X2
      | X6 != X7
      | ~ rline(X7)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(definition_unfolding,[],[f463,f541]) ).

fof(f802,plain,
    ~ ron(sK7,vd1232),
    inference(definition_unfolding,[],[f507,f501]) ).

fof(f805,plain,
    ron(sK7,vd1234),
    inference(definition_unfolding,[],[f511,f501]) ).

fof(f806,plain,
    ron(sK9,vd1234),
    inference(definition_unfolding,[],[f512,f766]) ).

fof(f807,plain,
    ron(sK1,vd1232),
    inference(definition_unfolding,[],[f514,f485]) ).

fof(f808,plain,
    ron(sK9,vd1232),
    inference(definition_unfolding,[],[f515,f766]) ).

fof(f813,plain,
    ron(sK9,vd1197),
    inference(definition_unfolding,[],[f521,f766]) ).

fof(f814,plain,
    ~ ron(sK1,vd1197),
    inference(definition_unfolding,[],[f529,f485]) ).

fof(f828,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( ron(X4,X7)
      | vangle(X2,X0,X4) != vd684
      | ~ ron(X2,X7)
      | ~ ron(X0,X7)
      | X0 = X4
      | X0 = X2
      | ~ rline(X7)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(equality_resolution,[],[f774]) ).

fof(f829,plain,
    ! [X2,X3,X0,X1,X7,X5] :
      ( ron(X5,X7)
      | vd684 != vangle(X2,X0,X5)
      | ~ ron(X2,X7)
      | ~ ron(X0,X7)
      | X0 = X5
      | X0 = X2
      | ~ rline(X7)
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(equality_resolution,[],[f828]) ).

fof(f830,plain,
    ! [X3,X0,X1,X7,X5] :
      ( ron(X5,X7)
      | vd684 != vangle(X3,X0,X5)
      | ~ ron(X3,X7)
      | ~ ron(X0,X7)
      | X0 = X5
      | X0 = X3
      | ~ rline(X7)
      | ~ rpoint(X5)
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(equality_resolution,[],[f829]) ).

fof(f831,plain,
    ! [X3,X1,X7,X5] :
      ( vd684 != vangle(X3,X1,X5)
      | ron(X5,X7)
      | ~ ron(X3,X7)
      | ~ ron(X1,X7)
      | X1 = X5
      | X1 = X3
      | ~ rline(X7)
      | ~ rpoint(X5)
      | ~ rpoint(X3)
      | ~ rpoint(X1) ),
    inference(equality_resolution,[],[f830]) ).

fof(f1058,plain,
    ! [X2,X0,X1,X6,X7,X4,X5] :
      ( X2 = X4
      | ~ ron(X1,X4)
      | ~ ron(X1,X2)
      | ~ ron(X0,X4)
      | ~ ron(X0,X2)
      | ~ rline(X4)
      | X2 != X5
      | ~ rline(X5)
      | X0 = X1
      | X1 != X6
      | ~ rpoint(X6)
      | X0 != X7
      | ~ rpoint(X7) ),
    inference(equality_resolution,[],[f586]) ).

fof(f1059,plain,
    ! [X0,X1,X6,X7,X4,X5] :
      ( X4 = X5
      | ~ ron(X1,X4)
      | ~ ron(X1,X5)
      | ~ ron(X0,X4)
      | ~ ron(X0,X5)
      | ~ rline(X4)
      | ~ rline(X5)
      | X0 = X1
      | X1 != X6
      | ~ rpoint(X6)
      | X0 != X7
      | ~ rpoint(X7) ),
    inference(equality_resolution,[],[f1058]) ).

fof(f1060,plain,
    ! [X0,X6,X7,X4,X5] :
      ( X4 = X5
      | ~ ron(X6,X4)
      | ~ ron(X6,X5)
      | ~ ron(X0,X4)
      | ~ ron(X0,X5)
      | ~ rline(X4)
      | ~ rline(X5)
      | X0 = X6
      | ~ rpoint(X6)
      | X0 != X7
      | ~ rpoint(X7) ),
    inference(equality_resolution,[],[f1059]) ).

fof(f1061,plain,
    ! [X6,X7,X4,X5] :
      ( ~ rline(X5)
      | ~ ron(X6,X4)
      | ~ ron(X6,X5)
      | ~ ron(X7,X4)
      | ~ ron(X7,X5)
      | ~ rline(X4)
      | X4 = X5
      | X6 = X7
      | ~ rpoint(X6)
      | ~ rpoint(X7) ),
    inference(equality_resolution,[],[f1060]) ).

fof(f1601,definition,
    ( spl58_13
  <=> sK1 = sK9 ),
    introduced(definition,[new_symbols(definition,[spl58_13])],[avatar_definition]) ).

fof(f1602,plain,
    ( sK1 = sK9
    | ~ spl58_13 ),
    inference(avatar_component_clause,[],[f1601]) ).

fof(f1607,plain,
    ! [X0] :
      ( vd684 != vd684
      | ron(sK1,X0)
      | ~ ron(sK7,X0)
      | ~ ron(sK9,X0)
      | sK1 = sK9
      | sK7 = sK9
      | ~ rline(X0)
      | ~ rpoint(sK1)
      | ~ rpoint(sK7)
      | ~ rpoint(sK9) ),
    inference(superposition,[],[f831,f769]) ).

fof(f1608,plain,
    ! [X0] :
      ( ron(sK1,X0)
      | ~ ron(sK7,X0)
      | ~ ron(sK9,X0)
      | sK1 = sK9
      | sK7 = sK9
      | ~ rline(X0)
      | ~ rpoint(sK1)
      | ~ rpoint(sK7)
      | ~ rpoint(sK9) ),
    inference(trivial_inequality_removal,[],[f1607]) ).

fof(f1624,plain,
    ! [X2,X0,X1] :
      ( ~ rline(X1)
      | ~ ron(X0,vd1234)
      | ~ ron(X2,X1)
      | ~ ron(X2,vd1234)
      | ~ ron(X0,X1)
      | vd1234 = X1
      | X0 = X2
      | ~ rpoint(X0)
      | ~ rpoint(X2) ),
    inference(resolution,[],[f1061,f513]) ).

fof(f1710,plain,
    ! [X0] :
      ( ron(sK1,X0)
      | ~ ron(sK7,X0)
      | ~ ron(sK9,X0)
      | sK1 = sK9
      | sK7 = sK9
      | ~ rline(X0)
      | ~ rpoint(sK7)
      | ~ rpoint(sK9) ),
    inference(forward_subsumption_resolution,[],[f1608,f484]) ).

fof(f1716,plain,
    ! [X0] :
      ( ron(sK1,X0)
      | ~ ron(sK7,X0)
      | ~ ron(sK9,X0)
      | sK1 = sK9
      | sK7 = sK9
      | ~ rline(X0)
      | ~ rpoint(sK9) ),
    inference(forward_subsumption_resolution,[],[f1710,f500]) ).

fof(f1721,plain,
    ! [X0] :
      ( ron(sK1,X0)
      | ~ ron(sK7,X0)
      | ~ ron(sK9,X0)
      | sK1 = sK9
      | sK7 = sK9
      | ~ rline(X0) ),
    inference(forward_subsumption_resolution,[],[f1716,f504]) ).

fof(f1727,definition,
    ( spl58_17
  <=> sK7 = sK9 ),
    introduced(definition,[new_symbols(definition,[spl58_17])],[avatar_definition]) ).

fof(f1728,plain,
    ( sK7 = sK9
    | ~ spl58_17 ),
    inference(avatar_component_clause,[],[f1727]) ).

fof(f1730,definition,
    ( spl58_18
  <=> ! [X0] :
        ( ron(sK1,X0)
        | ~ rline(X0)
        | ~ ron(sK9,X0)
        | ~ ron(sK7,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl58_18])],[avatar_definition]) ).

fof(f1731,plain,
    ( ! [X0] :
        ( ~ rline(X0)
        | ron(sK1,X0)
        | ~ ron(sK9,X0)
        | ~ ron(sK7,X0) )
    | ~ spl58_18 ),
    inference(avatar_component_clause,[],[f1730]) ).

fof(f1732,plain,
    ( spl58_17
    | spl58_13
    | spl58_18 ),
    inference(avatar_split_clause,[],[f1721,f1730,f1601,f1727]) ).

fof(f1771,plain,
    ( ~ ron(sK9,vd1197)
    | ~ spl58_13 ),
    inference(superposition,[],[f814,f1602]) ).

fof(f1776,plain,
    ( $false
    | ~ spl58_13 ),
    inference(forward_subsumption_resolution,[],[f1771,f813]) ).

fof(f1777,plain,
    ~ spl58_13,
    inference(avatar_contradiction_clause,[],[f1776]) ).

fof(f1784,plain,
    ( ~ ron(sK9,vd1232)
    | ~ spl58_17 ),
    inference(superposition,[],[f802,f1728]) ).

fof(f1792,plain,
    ( $false
    | ~ spl58_17 ),
    inference(forward_subsumption_resolution,[],[f1784,f808]) ).

fof(f1793,plain,
    ~ spl58_17,
    inference(avatar_contradiction_clause,[],[f1792]) ).

fof(f1795,plain,
    ( ron(sK1,vd1234)
    | ~ ron(sK9,vd1234)
    | ~ ron(sK7,vd1234)
    | ~ spl58_18 ),
    inference(resolution,[],[f1731,f513]) ).

fof(f1798,plain,
    ( ron(sK1,vd1234)
    | ~ ron(sK7,vd1234)
    | ~ spl58_18 ),
    inference(forward_subsumption_resolution,[],[f1795,f806]) ).

fof(f1800,plain,
    ( ron(sK1,vd1234)
    | ~ spl58_18 ),
    inference(forward_subsumption_resolution,[],[f1798,f805]) ).

fof(f1803,plain,
    ! [X0,X1] :
      ( ~ ron(X0,vd1234)
      | ~ ron(X1,vd1232)
      | ~ ron(X1,vd1234)
      | ~ ron(X0,vd1232)
      | vd1232 = vd1234
      | X0 = X1
      | ~ rpoint(X0)
      | ~ rpoint(X1) ),
    inference(resolution,[],[f1624,f516]) ).

fof(f1815,definition,
    ( spl58_28
  <=> vd1232 = vd1234 ),
    introduced(definition,[new_symbols(definition,[spl58_28])],[avatar_definition]) ).

fof(f1816,plain,
    ( vd1232 = vd1234
    | ~ spl58_28 ),
    inference(avatar_component_clause,[],[f1815]) ).

fof(f1818,definition,
    ( spl58_29
  <=> ! [X0,X1] :
        ( ~ ron(X0,vd1234)
        | ~ rpoint(X1)
        | ~ rpoint(X0)
        | X0 = X1
        | ~ ron(X0,vd1232)
        | ~ ron(X1,vd1232)
        | ~ ron(X1,vd1234) ) ),
    introduced(definition,[new_symbols(definition,[spl58_29])],[avatar_definition]) ).

fof(f1819,plain,
    ( ! [X0,X1] :
        ( ~ ron(X1,vd1232)
        | ~ rpoint(X1)
        | ~ rpoint(X0)
        | X0 = X1
        | ~ ron(X0,vd1232)
        | ~ ron(X0,vd1234)
        | ~ ron(X1,vd1234) )
    | ~ spl58_29 ),
    inference(avatar_component_clause,[],[f1818]) ).

fof(f1820,plain,
    ( spl58_28
    | spl58_29 ),
    inference(avatar_split_clause,[],[f1803,f1818,f1815]) ).

fof(f1833,plain,
    ( ron(sK7,vd1232)
    | ~ spl58_28 ),
    inference(superposition,[],[f805,f1816]) ).

fof(f1838,plain,
    ( $false
    | ~ spl58_28 ),
    inference(forward_subsumption_resolution,[],[f1833,f802]) ).

fof(f1839,plain,
    ~ spl58_28,
    inference(avatar_contradiction_clause,[],[f1838]) ).

fof(f1944,plain,
    ( ! [X0] :
        ( ~ rpoint(sK1)
        | ~ rpoint(X0)
        | sK1 = X0
        | ~ ron(X0,vd1232)
        | ~ ron(X0,vd1234)
        | ~ ron(sK1,vd1234) )
    | ~ spl58_29 ),
    inference(resolution,[],[f1819,f807]) ).

fof(f1947,plain,
    ( ! [X0] :
        ( ~ rpoint(X0)
        | sK1 = X0
        | ~ ron(X0,vd1232)
        | ~ ron(X0,vd1234)
        | ~ ron(sK1,vd1234) )
    | ~ spl58_29 ),
    inference(forward_subsumption_resolution,[],[f1944,f484]) ).

fof(f1949,plain,
    ( ! [X0] :
        ( ~ ron(X0,vd1232)
        | sK1 = X0
        | ~ rpoint(X0)
        | ~ ron(X0,vd1234) )
    | ~ spl58_18
    | ~ spl58_29 ),
    inference(forward_subsumption_resolution,[],[f1947,f1800]) ).

fof(f1951,plain,
    ( sK1 = sK9
    | ~ rpoint(sK9)
    | ~ ron(sK9,vd1234)
    | ~ spl58_18
    | ~ spl58_29 ),
    inference(resolution,[],[f1949,f808]) ).

fof(f1952,plain,
    ( sK1 = sK9
    | ~ ron(sK9,vd1234)
    | ~ spl58_18
    | ~ spl58_29 ),
    inference(forward_subsumption_resolution,[],[f1951,f504]) ).

fof(f1953,plain,
    ( sK1 = sK9
    | ~ spl58_18
    | ~ spl58_29 ),
    inference(forward_subsumption_resolution,[],[f1952,f806]) ).

fof(f1954,plain,
    ( spl58_13
    | ~ spl58_18
    | ~ spl58_29 ),
    inference(avatar_split_clause,[],[f1953,f1818,f1730,f1601]) ).

cnf(s20,plain,
    ( spl58_13
    | spl58_17
    | spl58_18 ),
    inference(sat_conversion,[],[f1732]) ).

cnf(s25,plain,
    ~ spl58_13,
    inference(sat_conversion,[],[f1777]) ).

cnf(s28,plain,
    ~ spl58_17,
    inference(sat_conversion,[],[f1793]) ).

cnf(s30,plain,
    ( spl58_28
    | spl58_29 ),
    inference(sat_conversion,[],[f1820]) ).

cnf(s33,plain,
    ~ spl58_28,
    inference(sat_conversion,[],[f1839]) ).

cnf(s35,plain,
    ( spl58_13
    | ~ spl58_18
    | ~ spl58_29 ),
    inference(sat_conversion,[],[f1954]) ).

cnf(s36,plain,
    spl58_29,
    inference(rat,[],[s30,s33]) ).

cnf(s37,plain,
    ~ spl58_18,
    inference(rat,[],[s35,s36,s25]) ).

cnf(s39,plain,
    $false,
    inference(rat,[],[s20,s37,s28,s25]) ).

fof(f1955,plain,
    $false,
    inference(avatar_sat_refutation,[],[s39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO294+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40  % Computer : n020.cluster.edu
% 0.13/0.40  % Model    : x86_64 x86_64
% 0.13/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40  % Memory   : 8046.5625MB
% 0.13/0.40  % OS       : Linux 6.8.0-71-generic
% 0.13/0.40  % CPULimit : 300
% 0.13/0.40  % WCLimit  : 300
% 0.13/0.40  % DateTime : Sun Sep 27 08:01:05 UTC 2026
% 0.13/0.40  % CPUTime  : 
% 0.13/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.44  Running first-order theorem proving
% 0.13/0.44  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.34/2.06  % (3078678)Detected formulas, will run a generic FOF schedule.
% 6.34/2.06  % (3078799)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=757274533:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.34/2.06  % (3078795)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2685878991:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.34/2.06  % (3078799)Instruction limit reached! 
% 6.34/2.06  % (3078799)------------------------------
% 6.34/2.06  % (3078799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.06  % (3078799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.06  % (3078799)CaDiCaL version: 2.1.3
% 6.34/2.06  % (3078799)Termination reason: Instruction limit
% 6.34/2.06  % (3078799)Termination phase: Saturation
% 6.34/2.06  % (3078799)Time elapsed: 0.037 s
% 6.34/2.06  % (3078799)Peak memory usage: 89 MB
% 6.34/2.06  % (3078799)Instructions burned: 122 (million)
% 6.34/2.06  % (3078796)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3927236175:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.34/2.06  % (3078797)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2086295335:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.34/2.06  % (3078798)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1796069229:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.34/2.06  % (3078798)Refutation not found, incomplete strategy
% 6.34/2.06  % (3078798)------------------------------
% 6.34/2.06  % (3078798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.06  % (3078798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.06  % (3078798)CaDiCaL version: 2.1.3
% 6.34/2.06  % (3078798)Termination reason: Refutation not found, incomplete strategy
% 6.34/2.06  % (3078798)Time elapsed: 0.001 s
% 6.34/2.06  % (3078798)Peak memory usage: 88 MB
% 6.34/2.06  % (3078798)Instructions burned: 1 (million)
% 6.34/2.06  % (3078801)dis-21_1_sil=8000:lcm=predicate:random_seed=1284748191:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.34/2.06  % (3078800)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=759291290:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.34/2.06  % (3078801)Instruction limit reached! 
% 6.34/2.06  % (3078801)------------------------------
% 6.34/2.06  % (3078801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.06  % (3078801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.06  % (3078801)CaDiCaL version: 2.1.3
% 6.34/2.06  % (3078801)Termination reason: Instruction limit
% 6.34/2.06  % (3078801)Termination phase: Saturation
% 6.34/2.06  % (3078801)Time elapsed: 0.066 s
% 6.34/2.06  % (3078801)Peak memory usage: 90 MB
% 6.34/2.06  % (3078801)Instructions burned: 129 (million)
% 6.34/2.06  % (3078804)lrs+10_1_sil=8000:sp=occurrence:random_seed=2397353342:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.34/2.06  % (3078800)Instruction limit reached! 
% 6.34/2.06  % (3078800)------------------------------
% 6.34/2.06  % (3078800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.06  % (3078800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.06  % (3078800)CaDiCaL version: 2.1.3
% 6.34/2.06  % (3078800)Termination reason: Instruction limit
% 6.34/2.06  % (3078800)Termination phase: Saturation
% 6.34/2.06  % (3078800)Time elapsed: 0.081 s
% 6.34/2.06  % (3078800)Peak memory usage: 90 MB
% 6.34/2.06  % (3078800)Instructions burned: 139 (million)
% 6.34/2.06  % (3078804)Instruction limit reached! 
% 6.34/2.06  % (3078804)------------------------------
% 6.34/2.06  % (3078804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.06  % (3078804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.06  % (3078804)CaDiCaL version: 2.1.3
% 6.34/2.06  % (3078804)Termination reason: Instruction limit
% 6.34/2.06  % (3078804)Termination phase: Saturation
% 6.34/2.06  % (3078804)Time elapsed: 0.086 s
% 6.34/2.06  % (3078804)Peak memory usage: 92 MB
% 6.34/2.06  % (3078804)Instructions burned: 286 (million)
% 6.34/2.06  % (3078810)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1501793287:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.34/2.06  % (3078810)Refutation not found, incomplete strategy
% 6.34/2.06  % (3078810)------------------------------
% 6.34/2.06  % (3078810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.06  % (3078810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.06  % (3078810)CaDiCaL version: 2.1.3
% 6.34/2.06  % (3078810)Termination reason: Refutation not found, incomplete strategy
% 6.34/2.06  % (3078810)Time elapsed: 0.002 s
% 6.34/2.06  % (3078810)Peak memory usage: 88 MB
% 6.34/2.06  % (3078810)Instructions burned: 2 (million)
% 6.34/2.06  % (3078812)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1535149528:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.34/2.06  % (3078812)Refutation not found, incomplete strategy
% 6.34/2.06  % (3078812)------------------------------
% 6.34/2.06  % (3078812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.06  % (3078812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.06  % (3078812)CaDiCaL version: 2.1.3
% 6.34/2.06  % (3078812)Termination reason: Refutation not found, incomplete strategy
% 6.34/2.06  % (3078812)Time elapsed: 0.002 s
% 6.34/2.06  % (3078812)Peak memory usage: 88 MB
% 6.34/2.06  % (3078812)Instructions burned: 2 (million)
% 6.34/2.06  % (3078798)------------------------------
% 6.34/2.06  % (3078798)------------------------------
% 6.34/2.06  % (3078813)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2056186465:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.34/2.06  % (3078813)Instruction limit reached! 
% 6.34/2.06  % (3078813)------------------------------
% 6.34/2.06  % (3078813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.06  % (3078813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.06  % (3078813)CaDiCaL version: 2.1.3
% 6.34/2.06  % (3078813)Termination reason: Instruction limit
% 6.34/2.06  % (3078813)Termination phase: Saturation
% 6.34/2.06  % (3078813)Time elapsed: 0.064 s
% 6.34/2.06  % (3078813)Peak memory usage: 91 MB
% 6.34/2.06  % (3078813)Instructions burned: 250 (million)
% 6.34/2.06  % (3078817)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3687792572:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.34/2.06  % (3078817)Refutation not found, incomplete strategy
% 6.34/2.06  % (3078817)------------------------------
% 6.34/2.06  % (3078817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.06  % (3078817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.06  % (3078817)CaDiCaL version: 2.1.3
% 6.34/2.06  % (3078817)Termination reason: Refutation not found, incomplete strategy
% 6.34/2.06  % (3078817)Time elapsed: 0.013 s
% 6.34/2.06  % (3078817)Peak memory usage: 89 MB
% 6.34/2.06  % (3078817)Instructions burned: 22 (million)
% 6.34/2.06  % (3078818)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3790936979:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.34/2.06  % (3078810)------------------------------
% 6.34/2.06  % (3078810)------------------------------
% 6.34/2.06  % (3078812)------------------------------
% 6.34/2.06  % (3078812)------------------------------
% 6.34/2.06  % (3078821)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3141312861:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.34/2.06  % (3078821)Refutation not found, incomplete strategy
% 6.34/2.06  % (3078821)------------------------------
% 6.34/2.06  % (3078821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.06  % (3078821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.06  % (3078821)CaDiCaL version: 2.1.3
% 6.34/2.06  % (3078821)Termination reason: Refutation not found, incomplete strategy
% 6.34/2.06  % (3078821)Time elapsed: 0.013 s
% 6.34/2.06  % (3078821)Peak memory usage: 89 MB
% 6.34/2.06  % (3078821)Instructions burned: 23 (million)
% 6.34/2.06  % (3078822)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3345272888:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.34/2.06  % (3078797)Refutation not found, incomplete strategy
% 6.34/2.06  % (3078797)------------------------------
% 6.34/2.06  % (3078797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.06  % (3078797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.06  % (3078797)CaDiCaL version: 2.1.3
% 6.34/2.06  % (3078797)Termination reason: Refutation not found, incomplete strategy
% 6.34/2.06  % (3078797)Time elapsed: 0.634 s
% 6.34/2.06  % (3078797)Peak memory usage: 134 MB
% 6.34/2.06  % (3078797)Instructions burned: 942 (million)
% 6.34/2.06  % (3078817)------------------------------
% 6.34/2.06  % (3078817)------------------------------
% 6.34/2.06  % (3078822)Instruction limit reached! 
% 6.34/2.06  % (3078822)------------------------------
% 6.34/2.06  % (3078822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.06  % (3078822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.06  % (3078822)CaDiCaL version: 2.1.3
% 6.34/2.06  % (3078822)Termination reason: Instruction limit
% 6.34/2.06  % (3078822)Termination phase: Saturation
% 6.34/2.06  % (3078822)Time elapsed: 0.061 s
% 6.34/2.06  % (3078822)Peak memory usage: 89 MB
% 6.34/2.06  % (3078822)Instructions burned: 128 (million)
% 6.34/2.06  % (3078796)First to succeed.
% 6.34/2.06  % (3078796)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3078678"
% 6.34/2.06  % (3078825)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=88470496:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.34/2.06  % (3078795)Also succeeded, but the first one will report.
% 6.34/2.06  % (3078826)lrs+10_1_sil=8000:sp=occurrence:random_seed=2046791936:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.34/2.06  % (3078825)Instruction limit reached! 
% 6.34/2.06  % (3078825)------------------------------
% 6.34/2.06  % (3078825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.06  % (3078825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.06  % (3078825)CaDiCaL version: 2.1.3
% 6.34/2.06  % (3078825)Termination reason: Instruction limit
% 6.34/2.06  % (3078825)Termination phase: Saturation
% 6.34/2.06  % (3078825)Time elapsed: 0.056 s
% 6.34/2.06  % (3078825)Peak memory usage: 89 MB
% 6.34/2.06  % (3078825)Instructions burned: 114 (million)
% 6.34/2.06  % (3078821)------------------------------
% 6.34/2.06  % (3078821)------------------------------
% 6.34/2.06  % (3078797)------------------------------
% 6.34/2.06  % (3078797)------------------------------
% 6.34/2.06  % (3078818)Also succeeded, but the first one will report.
% 6.34/2.06  % (3078829)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3050791411:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 6.34/2.06  % (3078829)Refutation not found, incomplete strategy
% 6.34/2.06  % (3078829)------------------------------
% 6.34/2.06  % (3078829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.34/2.06  % (3078829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/2.06  % (3078829)CaDiCaL version: 2.1.3
% 6.34/2.06  % (3078829)Termination reason: Refutation not found, incomplete strategy
% 6.34/2.06  % (3078829)Time elapsed: 0.016 s
% 6.34/2.06  % (3078829)Peak memory usage: 89 MB
% 6.34/2.06  % (3078829)Instructions burned: 29 (million)
% 6.34/2.06  % (3078830)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=429235085:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.34/2.06  % (3078831)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2424025470:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 6.34/2.06  % (3078796)Refutation found. Thanks to Tanya!
% 6.34/2.06  % SZS status ContradictoryAxioms for theBenchmark
% 6.34/2.06  % SZS output start Proof for theBenchmark
% See solution above
% 8.95/2.25  % (3078796)------------------------------
% 8.95/2.25  % (3078796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.95/2.25  % (3078796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.95/2.25  % (3078796)CaDiCaL version: 2.1.3
% 8.95/2.25  % (3078796)Termination reason: Refutation
% 8.95/2.25  % (3078796)Time elapsed: 0.765 s
% 8.95/2.25  % (3078796)Peak memory usage: 135 MB
% 8.95/2.25  % (3078796)Instructions burned: 1160 (million)
% 8.95/2.25  % (3078796)------------------------------
% 8.95/2.25  % (3078796)------------------------------
% 8.95/2.25  % (3078678)Success in time 1.183 s
% 8.95/2.25  % Vampire exiting
%------------------------------------------------------------------------------