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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO298+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n009.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 09:54:23 AM UTC 2026

% Result   : Theorem 4.23s 1.09s
% Output   : Refutation 4.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  127 (  59 unt;   3 def)
%            Number of atoms       :  498 ( 188 equ)
%            Maximal formula atoms :   22 (   3 avg)
%            Number of connectives :  654 ( 283   ~; 289   |;  73   &)
%                                         (   6 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   4 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  17 con; 0-3 aty)
%            Number of variables   :  155 (   0 sgn 132   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( rR(vd1201,vd1185,vd1187)
    | rR(vd1187,vd1185,vd1201) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dis(321)') ).

fof(f2,negated_conjecture,
    ~ ( rR(vd1201,vd1185,vd1187)
      | rR(vd1187,vd1185,vd1201) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,axiom,
    vd1201 != vd1187,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(320, 1251, 0)') ).

fof(f4,axiom,
    ~ rR(vd1185,vd1201,vd1187),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(319))') ).

fof(f6,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( X3 = X4
        & ron(X2,X3)
        & ron(X1,X3)
        & ron(X0,X3)
        & rline(X4)
        & X1 != X2
        & X0 != X2
        & X0 != X1
        & ? [X5] :
            ( X2 = X5
            & rpoint(X5) )
        & ? [X6] :
            ( X1 = X6
            & rpoint(X6) )
        & ? [X7] :
            ( X0 = X7
            & rpoint(X7) ) )
     => ( rR(X1,X0,X2)
        | rR(X0,X1,X2)
        | rR(X2,X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).

fof(f8,axiom,
    ron(vd1187,vd1232),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s3(plural(315)), 0)') ).

fof(f10,axiom,
    ? [X0] :
      ( vd1201 = X0
      & rpoint(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).

fof(f12,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(f14,axiom,
    ron(vd1201,vd1232),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(315)), 0)') ).

fof(f20,axiom,
    vf(vd1178,vd1180) = vf(vd1199,vd1201),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(plural(271)))))), 1211, 0)') ).

fof(f27,axiom,
    ? [X0] :
      ( vd1199 = X0
      & rpoint(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(271)))') ).

fof(f29,axiom,
    ron(vd1185,vd1232),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(315)), 0)') ).

fof(f34,axiom,
    vf(vd1199,vd1201) = vf(vd1185,vd1187),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(314, 1247, 0)') ).

fof(f43,axiom,
    rline(vd1232),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(293, 0)') ).

fof(f45,axiom,
    vd1199 = vd1185,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(291, 1230, 0)') ).

fof(f55,axiom,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( X1 = X2
            & rpoint(X2) )
        & ? [X3] :
            ( X0 = X3
            & rpoint(X3) ) )
     => ( vf(X0,X1) = v0
      <=> X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).

fof(f86,axiom,
    v0 = vd684,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).

fof(f93,axiom,
    ! [X0,X1,X2] :
      ( ( rR(X1,X0,X2)
        & ? [X3] :
            ( X2 = X3
            & rpoint(X3) )
        & ? [X4] :
            ( X1 = X4
            & rpoint(X4) )
        & ? [X5] :
            ( X0 = X5
            & rpoint(X5) ) )
     => ( ~ rR(X0,X1,X2)
        & X0 != X2
        & X0 != X1
        & rR(X1,X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).

fof(f164,plain,
    ( ~ rR(vd1201,vd1185,vd1187)
    & ~ rR(vd1187,vd1185,vd1201) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f165,plain,
    ! [X0,X1,X2,X3,X4] :
      ( rR(X1,X0,X2)
      | rR(X0,X1,X2)
      | rR(X2,X0,X1)
      | X3 != X4
      | ~ ron(X2,X3)
      | ~ ron(X1,X3)
      | ~ ron(X0,X3)
      | ~ rline(X4)
      | X1 = X2
      | X0 = X2
      | X0 = X1
      | ! [X5] :
          ( X2 != X5
          | ~ rpoint(X5) )
      | ! [X6] :
          ( X1 != X6
          | ~ rpoint(X6) )
      | ! [X7] :
          ( X0 != X7
          | ~ rpoint(X7) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f166,plain,
    ! [X0,X1,X2,X3,X4] :
      ( rR(X1,X0,X2)
      | rR(X0,X1,X2)
      | rR(X2,X0,X1)
      | X3 != X4
      | ~ ron(X2,X3)
      | ~ ron(X1,X3)
      | ~ ron(X0,X3)
      | ~ rline(X4)
      | X1 = X2
      | X0 = X2
      | X0 = X1
      | ! [X5] :
          ( X2 != X5
          | ~ rpoint(X5) )
      | ! [X6] :
          ( X1 != X6
          | ~ rpoint(X6) )
      | ! [X7] :
          ( X0 != X7
          | ~ rpoint(X7) ) ),
    inference(flattening,[],[f165]) ).

fof(f167,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,[],[f12]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( ( vf(X0,X1) = v0
      <=> X0 = X1 )
      | ! [X2] :
          ( X1 != X2
          | ~ rpoint(X2) )
      | ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) ) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( ( vf(X0,X1) = v0
      <=> X0 = X1 )
      | ! [X2] :
          ( X1 != X2
          | ~ rpoint(X2) )
      | ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) ) ),
    inference(flattening,[],[f188]) ).

fof(f258,plain,
    ! [X0,X1,X2] :
      ( ( ~ rR(X0,X1,X2)
        & X0 != X2
        & X0 != X1
        & rR(X1,X2,X0) )
      | ~ rR(X1,X0,X2)
      | ! [X3] :
          ( X2 != X3
          | ~ rpoint(X3) )
      | ! [X4] :
          ( X1 != X4
          | ~ rpoint(X4) )
      | ! [X5] :
          ( X0 != X5
          | ~ rpoint(X5) ) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f259,plain,
    ! [X0,X1,X2] :
      ( ( ~ rR(X0,X1,X2)
        & X0 != X2
        & X0 != X1
        & rR(X1,X2,X0) )
      | ~ rR(X1,X0,X2)
      | ! [X3] :
          ( X2 != X3
          | ~ rpoint(X3) )
      | ! [X4] :
          ( X1 != X4
          | ~ rpoint(X4) )
      | ! [X5] :
          ( X0 != X5
          | ~ rpoint(X5) ) ),
    inference(flattening,[],[f258]) ).

fof(f380,plain,
    ~ rR(vd1187,vd1185,vd1201),
    inference(cnf_transformation,[],[f164]) ).

fof(f381,plain,
    ~ rR(vd1201,vd1185,vd1187),
    inference(cnf_transformation,[],[f164]) ).

fof(f382,plain,
    vd1201 != vd1187,
    inference(cnf_transformation,[],[f3]) ).

fof(f383,plain,
    ~ rR(vd1185,vd1201,vd1187),
    inference(cnf_transformation,[],[f4]) ).

fof(f385,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ rpoint(X7)
      | X0 != X7
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X5)
      | X2 != X5
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ~ rline(X4)
      | ~ ron(X0,X3)
      | ~ ron(X1,X3)
      | ~ ron(X2,X3)
      | X3 != X4
      | rR(X2,X0,X1)
      | rR(X0,X1,X2)
      | rR(X1,X0,X2) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f387,plain,
    ron(vd1187,vd1232),
    inference(cnf_transformation,[],[f8]) ).

fof(f389,plain,
    rpoint(sK0),
    inference(cnf_transformation,[],[f10]) ).

fof(f390,plain,
    vd1201 = sK0,
    inference(cnf_transformation,[],[f10]) ).

fof(f393,plain,
    rpoint(sK6),
    inference(cnf_transformation,[],[f167]) ).

fof(f394,plain,
    vd1187 = sK6,
    inference(cnf_transformation,[],[f167]) ).

fof(f397,plain,
    rpoint(sK4),
    inference(cnf_transformation,[],[f167]) ).

fof(f398,plain,
    vd1185 = sK4,
    inference(cnf_transformation,[],[f167]) ).

fof(f399,plain,
    rpoint(sK3),
    inference(cnf_transformation,[],[f167]) ).

fof(f400,plain,
    vd1180 = sK3,
    inference(cnf_transformation,[],[f167]) ).

fof(f403,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f167]) ).

fof(f404,plain,
    vd1178 = sK1,
    inference(cnf_transformation,[],[f167]) ).

fof(f406,plain,
    vd1178 != vd1180,
    inference(cnf_transformation,[],[f167]) ).

fof(f412,plain,
    ron(vd1201,vd1232),
    inference(cnf_transformation,[],[f14]) ).

fof(f418,plain,
    vf(vd1178,vd1180) = vf(vd1199,vd1201),
    inference(cnf_transformation,[],[f20]) ).

fof(f427,plain,
    vd1199 = sK8,
    inference(cnf_transformation,[],[f27]) ).

fof(f429,plain,
    ron(vd1185,vd1232),
    inference(cnf_transformation,[],[f29]) ).

fof(f434,plain,
    vf(vd1185,vd1187) = vf(vd1199,vd1201),
    inference(cnf_transformation,[],[f34]) ).

fof(f443,plain,
    rline(vd1232),
    inference(cnf_transformation,[],[f43]) ).

fof(f445,plain,
    vd1185 = vd1199,
    inference(cnf_transformation,[],[f45]) ).

fof(f455,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X2)
      | X1 != X2
      | X0 != X1
      | vf(X0,X1) = v0 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f456,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X2)
      | X1 != X2
      | X0 = X1
      | vf(X0,X1) != v0 ),
    inference(cnf_transformation,[],[f189]) ).

fof(f508,plain,
    v0 = vd684,
    inference(cnf_transformation,[],[f86]) ).

fof(f543,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ rpoint(X5)
      | X0 != X5
      | ~ rpoint(X4)
      | X1 != X4
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rR(X1,X0,X2)
      | rR(X1,X2,X0) ),
    inference(cnf_transformation,[],[f259]) ).

fof(f693,plain,
    ~ rR(sK0,sK4,sK6),
    inference(definition_unfolding,[],[f381,f390,f398,f394]) ).

fof(f694,plain,
    ~ rR(sK6,sK4,sK0),
    inference(definition_unfolding,[],[f380,f394,f398,f390]) ).

fof(f695,plain,
    sK0 != sK6,
    inference(definition_unfolding,[],[f382,f390,f394]) ).

fof(f696,plain,
    ~ rR(sK4,sK0,sK6),
    inference(definition_unfolding,[],[f383,f398,f390,f394]) ).

fof(f699,plain,
    ron(sK6,vd1232),
    inference(definition_unfolding,[],[f387,f394]) ).

fof(f705,plain,
    sK1 != sK3,
    inference(definition_unfolding,[],[f406,f404,f400]) ).

fof(f708,plain,
    ron(sK0,vd1232),
    inference(definition_unfolding,[],[f412,f390]) ).

fof(f714,plain,
    vf(sK1,sK3) = vf(sK8,sK0),
    inference(definition_unfolding,[],[f418,f404,f400,f427,f390]) ).

fof(f721,plain,
    ron(sK4,vd1232),
    inference(definition_unfolding,[],[f429,f398]) ).

fof(f725,plain,
    vf(sK4,sK6) = vf(sK8,sK0),
    inference(definition_unfolding,[],[f434,f398,f394,f427,f390]) ).

fof(f734,plain,
    sK4 = sK8,
    inference(definition_unfolding,[],[f445,f398,f427]) ).

fof(f741,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X2)
      | X1 != X2
      | X0 = X1
      | vf(X0,X1) != vd684 ),
    inference(definition_unfolding,[],[f456,f508]) ).

fof(f742,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X2)
      | X1 != X2
      | X0 != X1
      | vf(X0,X1) = vd684 ),
    inference(definition_unfolding,[],[f455,f508]) ).

fof(f751,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( ~ rpoint(X7)
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X5)
      | X2 != X5
      | X1 = X7
      | X2 = X7
      | X1 = X2
      | ~ rline(X4)
      | ~ ron(X7,X3)
      | ~ ron(X1,X3)
      | ~ ron(X2,X3)
      | X3 != X4
      | rR(X2,X7,X1)
      | rR(X7,X1,X2)
      | rR(X1,X7,X2) ),
    inference(equality_resolution,[],[f385]) ).

fof(f752,plain,
    ! [X2,X3,X6,X7,X4,X5] :
      ( ~ rpoint(X7)
      | ~ rpoint(X6)
      | ~ rpoint(X5)
      | X2 != X5
      | X6 = X7
      | X2 = X7
      | X2 = X6
      | ~ rline(X4)
      | ~ ron(X7,X3)
      | ~ ron(X6,X3)
      | ~ ron(X2,X3)
      | X3 != X4
      | rR(X2,X7,X6)
      | rR(X7,X6,X2)
      | rR(X6,X7,X2) ),
    inference(equality_resolution,[],[f751]) ).

fof(f753,plain,
    ! [X3,X6,X7,X4,X5] :
      ( ~ rpoint(X7)
      | ~ rpoint(X6)
      | ~ rpoint(X5)
      | X6 = X7
      | X5 = X7
      | X5 = X6
      | ~ rline(X4)
      | ~ ron(X7,X3)
      | ~ ron(X6,X3)
      | ~ ron(X5,X3)
      | X3 != X4
      | rR(X5,X7,X6)
      | rR(X7,X6,X5)
      | rR(X6,X7,X5) ),
    inference(equality_resolution,[],[f752]) ).

fof(f754,plain,
    ! [X6,X7,X4,X5] :
      ( rR(X7,X6,X5)
      | ~ rpoint(X6)
      | ~ rpoint(X5)
      | X6 = X7
      | X5 = X7
      | X5 = X6
      | ~ rline(X4)
      | ~ ron(X7,X4)
      | ~ ron(X6,X4)
      | ~ ron(X5,X4)
      | rR(X5,X7,X6)
      | ~ rpoint(X7)
      | rR(X6,X7,X5) ),
    inference(equality_resolution,[],[f753]) ).

fof(f775,plain,
    ! [X2,X3,X1] :
      ( ~ rpoint(X3)
      | ~ rpoint(X2)
      | X1 != X2
      | X1 = X3
      | vd684 != vf(X3,X1) ),
    inference(equality_resolution,[],[f741]) ).

fof(f776,plain,
    ! [X2,X3] :
      ( vd684 != vf(X3,X2)
      | ~ rpoint(X2)
      | X2 = X3
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f775]) ).

fof(f777,plain,
    ! [X2,X3,X1] :
      ( ~ rpoint(X3)
      | ~ rpoint(X2)
      | X1 != X2
      | X1 != X3
      | vd684 = vf(X3,X1) ),
    inference(equality_resolution,[],[f742]) ).

fof(f778,plain,
    ! [X2,X3] :
      ( ~ rpoint(X3)
      | ~ rpoint(X2)
      | X2 != X3
      | vd684 = vf(X3,X2) ),
    inference(equality_resolution,[],[f777]) ).

fof(f779,plain,
    ! [X3] :
      ( ~ rpoint(X3)
      | ~ rpoint(X3)
      | vd684 = vf(X3,X3) ),
    inference(equality_resolution,[],[f778]) ).

fof(f1381,plain,
    ! [X2,X3,X1,X4,X5] :
      ( ~ rpoint(X5)
      | ~ rpoint(X4)
      | X1 != X4
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rR(X1,X5,X2)
      | rR(X1,X2,X5) ),
    inference(equality_resolution,[],[f543]) ).

fof(f1382,plain,
    ! [X2,X3,X4,X5] :
      ( ~ rpoint(X5)
      | ~ rpoint(X4)
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rR(X4,X5,X2)
      | rR(X4,X2,X5) ),
    inference(equality_resolution,[],[f1381]) ).

fof(f1383,plain,
    ! [X3,X4,X5] :
      ( rR(X4,X3,X5)
      | ~ rpoint(X4)
      | ~ rpoint(X3)
      | ~ rR(X4,X5,X3)
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1382]) ).

fof(f1859,plain,
    ! [X3] :
      ( ~ rpoint(X3)
      | vd684 = vf(X3,X3) ),
    inference(duplicate_literal_removal,[],[f779]) ).

fof(f1884,plain,
    vf(sK1,sK3) = vf(sK4,sK0),
    inference(forward_demodulation,[],[f714,f734]) ).

fof(f1888,plain,
    vf(sK4,sK6) = vf(sK4,sK0),
    inference(forward_demodulation,[],[f725,f734]) ).

fof(f1896,plain,
    vd684 = vf(sK4,sK4),
    inference(resolution,[],[f1859,f397]) ).

fof(f2392,plain,
    ( vd684 != vf(sK4,sK0)
    | ~ rpoint(sK3)
    | sK1 = sK3
    | ~ rpoint(sK1) ),
    inference(superposition,[],[f776,f1884]) ).

fof(f2401,plain,
    ( vd684 != vf(sK4,sK0)
    | sK1 = sK3
    | ~ rpoint(sK1) ),
    inference(forward_subsumption_resolution,[],[f2392,f399]) ).

fof(f2406,plain,
    ( vd684 != vf(sK4,sK0)
    | ~ rpoint(sK1) ),
    inference(forward_subsumption_resolution,[],[f2401,f705]) ).

fof(f2410,plain,
    vd684 != vf(sK4,sK0),
    inference(forward_subsumption_resolution,[],[f2406,f403]) ).

fof(f2864,plain,
    ( ~ rpoint(sK4)
    | ~ rpoint(sK0)
    | ~ rR(sK4,sK6,sK0)
    | ~ rpoint(sK6) ),
    inference(resolution,[],[f1383,f696]) ).

fof(f2865,plain,
    ( ~ rpoint(sK0)
    | ~ rpoint(sK4)
    | ~ rR(sK0,sK6,sK4)
    | ~ rpoint(sK6) ),
    inference(resolution,[],[f1383,f693]) ).

fof(f2872,plain,
    ( ~ rpoint(sK4)
    | ~ rR(sK0,sK6,sK4)
    | ~ rpoint(sK6) ),
    inference(forward_subsumption_resolution,[],[f2865,f389]) ).

fof(f2873,plain,
    ( ~ rpoint(sK0)
    | ~ rR(sK4,sK6,sK0)
    | ~ rpoint(sK6) ),
    inference(forward_subsumption_resolution,[],[f2864,f397]) ).

fof(f2875,plain,
    ( ~ rR(sK0,sK6,sK4)
    | ~ rpoint(sK6) ),
    inference(forward_subsumption_resolution,[],[f2872,f397]) ).

fof(f2876,plain,
    ( ~ rR(sK4,sK6,sK0)
    | ~ rpoint(sK6) ),
    inference(forward_subsumption_resolution,[],[f2873,f389]) ).

fof(f2878,plain,
    ~ rR(sK0,sK6,sK4),
    inference(forward_subsumption_resolution,[],[f2875,f393]) ).

fof(f2879,plain,
    ~ rR(sK4,sK6,sK0),
    inference(forward_subsumption_resolution,[],[f2876,f393]) ).

fof(f8589,plain,
    ! [X0] :
      ( ~ rpoint(sK4)
      | ~ rpoint(sK0)
      | sK4 = sK6
      | sK0 = sK6
      | sK0 = sK4
      | ~ rline(X0)
      | ~ ron(sK6,X0)
      | ~ ron(sK4,X0)
      | ~ ron(sK0,X0)
      | rR(sK0,sK6,sK4)
      | ~ rpoint(sK6)
      | rR(sK4,sK6,sK0) ),
    inference(resolution,[],[f754,f694]) ).

fof(f8708,plain,
    ! [X0] :
      ( ~ rpoint(sK0)
      | sK4 = sK6
      | sK0 = sK6
      | sK0 = sK4
      | ~ rline(X0)
      | ~ ron(sK6,X0)
      | ~ ron(sK4,X0)
      | ~ ron(sK0,X0)
      | rR(sK0,sK6,sK4)
      | ~ rpoint(sK6)
      | rR(sK4,sK6,sK0) ),
    inference(forward_subsumption_resolution,[],[f8589,f397]) ).

fof(f8780,plain,
    ! [X0] :
      ( sK4 = sK6
      | sK0 = sK6
      | sK0 = sK4
      | ~ rline(X0)
      | ~ ron(sK6,X0)
      | ~ ron(sK4,X0)
      | ~ ron(sK0,X0)
      | rR(sK0,sK6,sK4)
      | ~ rpoint(sK6)
      | rR(sK4,sK6,sK0) ),
    inference(forward_subsumption_resolution,[],[f8708,f389]) ).

fof(f8842,plain,
    ! [X0] :
      ( sK4 = sK6
      | sK0 = sK4
      | ~ rline(X0)
      | ~ ron(sK6,X0)
      | ~ ron(sK4,X0)
      | ~ ron(sK0,X0)
      | rR(sK0,sK6,sK4)
      | ~ rpoint(sK6)
      | rR(sK4,sK6,sK0) ),
    inference(forward_subsumption_resolution,[],[f8780,f695]) ).

fof(f8868,plain,
    ! [X0] :
      ( sK4 = sK6
      | sK0 = sK4
      | ~ rline(X0)
      | ~ ron(sK6,X0)
      | ~ ron(sK4,X0)
      | ~ ron(sK0,X0)
      | ~ rpoint(sK6)
      | rR(sK4,sK6,sK0) ),
    inference(forward_subsumption_resolution,[],[f8842,f2878]) ).

fof(f8886,plain,
    ! [X0] :
      ( sK4 = sK6
      | sK0 = sK4
      | ~ rline(X0)
      | ~ ron(sK6,X0)
      | ~ ron(sK4,X0)
      | ~ ron(sK0,X0)
      | rR(sK4,sK6,sK0) ),
    inference(forward_subsumption_resolution,[],[f8868,f393]) ).

fof(f8892,plain,
    ! [X0] :
      ( sK4 = sK6
      | sK0 = sK4
      | ~ rline(X0)
      | ~ ron(sK6,X0)
      | ~ ron(sK4,X0)
      | ~ ron(sK0,X0) ),
    inference(forward_subsumption_resolution,[],[f8886,f2879]) ).

fof(f12358,definition,
    ( spl54_13
  <=> ! [X0] :
        ( ~ rline(X0)
        | ~ ron(sK0,X0)
        | ~ ron(sK4,X0)
        | ~ ron(sK6,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl54_13])],[avatar_definition]) ).

fof(f12359,plain,
    ( ! [X0] :
        ( ~ ron(sK6,X0)
        | ~ ron(sK0,X0)
        | ~ ron(sK4,X0)
        | ~ rline(X0) )
    | ~ spl54_13 ),
    inference(avatar_component_clause,[],[f12358]) ).

fof(f12361,definition,
    ( spl54_14
  <=> sK0 = sK4 ),
    introduced(definition,[new_symbols(definition,[spl54_14])],[avatar_definition]) ).

fof(f12363,plain,
    ( sK0 = sK4
    | ~ spl54_14 ),
    inference(avatar_component_clause,[],[f12361]) ).

fof(f12365,definition,
    ( spl54_15
  <=> sK4 = sK6 ),
    introduced(definition,[new_symbols(definition,[spl54_15])],[avatar_definition]) ).

fof(f12367,plain,
    ( sK4 = sK6
    | ~ spl54_15 ),
    inference(avatar_component_clause,[],[f12365]) ).

fof(f12368,plain,
    ( spl54_13
    | spl54_14
    | spl54_15 ),
    inference(avatar_split_clause,[],[f8892,f12365,f12361,f12358]) ).

fof(f12369,plain,
    ( ~ ron(sK0,vd1232)
    | ~ ron(sK4,vd1232)
    | ~ rline(vd1232)
    | ~ spl54_13 ),
    inference(resolution,[],[f12359,f699]) ).

fof(f12466,plain,
    ( ~ ron(sK4,vd1232)
    | ~ rline(vd1232)
    | ~ spl54_13 ),
    inference(forward_subsumption_resolution,[],[f12369,f708]) ).

fof(f12469,plain,
    ( ~ rline(vd1232)
    | ~ spl54_13 ),
    inference(forward_subsumption_resolution,[],[f12466,f721]) ).

fof(f12470,plain,
    ( $false
    | ~ spl54_13 ),
    inference(forward_subsumption_resolution,[],[f12469,f443]) ).

fof(f12471,plain,
    ~ spl54_13,
    inference(avatar_contradiction_clause,[],[f12470]) ).

fof(f12493,plain,
    ( vd684 != vf(sK4,sK4)
    | ~ spl54_14 ),
    inference(superposition,[],[f2410,f12363]) ).

fof(f12627,plain,
    ( $false
    | ~ spl54_14 ),
    inference(forward_subsumption_resolution,[],[f12493,f1896]) ).

fof(f12628,plain,
    ~ spl54_14,
    inference(avatar_contradiction_clause,[],[f12627]) ).

fof(f12639,plain,
    ( vf(sK4,sK0) = vf(sK4,sK4)
    | ~ spl54_15 ),
    inference(superposition,[],[f1888,f12367]) ).

fof(f12782,plain,
    ( vd684 = vf(sK4,sK0)
    | ~ spl54_15 ),
    inference(forward_demodulation,[],[f12639,f1896]) ).

fof(f12785,plain,
    ( $false
    | ~ spl54_15 ),
    inference(forward_subsumption_resolution,[],[f12782,f2410]) ).

fof(f12786,plain,
    ~ spl54_15,
    inference(avatar_contradiction_clause,[],[f12785]) ).

cnf(s24,plain,
    ( spl54_13
    | spl54_14
    | spl54_15 ),
    inference(sat_conversion,[],[f12368]) ).

cnf(s25,plain,
    ~ spl54_13,
    inference(sat_conversion,[],[f12471]) ).

cnf(s27,plain,
    ~ spl54_14,
    inference(sat_conversion,[],[f12628]) ).

cnf(s30,plain,
    ~ spl54_15,
    inference(sat_conversion,[],[f12786]) ).

cnf(s31,plain,
    $false,
    inference(rat,[],[s24,s30,s27,s25]) ).

fof(f12787,plain,
    $false,
    inference(avatar_sat_refutation,[],[s31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO298+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39  % Computer : n009.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Sun Sep 27 08:01:45 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42  Running first-order model finding
% 0.12/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.82/0.86  % (1705742)Will run a generic schedule for satisfiability detection.
% 1.82/0.86  % (1705751)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=501011541:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.82/0.86  % (1705748)% WARNING: option uhcvi not known.
% 1.82/0.86  % (1705747)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1323971700_2999 on theBenchmark for (2999ds/0Mi)
% 1.82/0.86  % (1705748)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=721300453:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.82/0.86  % (1705749)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=652623772:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.82/0.86  % (1705750)dis+10_1_sil=32000:sp=arity:random_seed=369358381:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.82/0.86  % (1705753)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2090273058:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.82/0.86  % (1705752)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4135241827:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.82/0.86  % (1705751)Instruction limit reached! 
% 1.82/0.86  % (1705751)------------------------------
% 1.82/0.86  % (1705751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.82/0.86  % (1705751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/0.86  % (1705751)CaDiCaL version: 2.1.3
% 1.82/0.86  % (1705751)Termination reason: Instruction limit
% 1.82/0.86  % (1705751)Termination phase: Saturation
% 1.82/0.86  % (1705751)Time elapsed: 0.032 s
% 1.82/0.86  % (1705751)Peak memory usage: 14 MB
% 1.82/0.86  % (1705751)Instructions burned: 120 (million)
% 1.82/0.86  % (1705761)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2611882619:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.82/0.86  % Detected minimum model sizes of [3]
% 1.82/0.86  % Detected maximum model sizes of [max]
% 1.82/0.86  % (1705747)Cannot represent all propositional literals internally
% 1.82/0.86  % (1705747)Refutation not found, incomplete strategy
% 1.82/0.86  % (1705747)------------------------------
% 1.82/0.86  % (1705747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.82/0.86  % (1705747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/0.86  % (1705747)CaDiCaL version: 2.1.3
% 1.82/0.86  % (1705747)Termination reason: Refutation not found, incomplete strategy
% 1.82/0.86  % (1705747)Time elapsed: 0.037 s
% 1.82/0.86  % (1705747)Peak memory usage: 12 MB
% 1.82/0.86  % (1705747)Instructions burned: 75 (million)
% 1.82/0.86  % (1705747)------------------------------
% 1.82/0.86  % (1705747)------------------------------
% 1.82/0.86  % Detected minimum model sizes of [3]
% 1.82/0.86  % Detected maximum model sizes of [max]
% 1.82/0.86  % (1705761)Cannot represent all propositional literals internally
% 1.82/0.86  % (1705761)Refutation not found, incomplete strategy
% 1.82/0.86  % (1705761)------------------------------
% 1.82/0.86  % (1705761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.82/0.86  % (1705761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/0.86  % (1705761)CaDiCaL version: 2.1.3
% 1.82/0.86  % (1705761)Termination reason: Refutation not found, incomplete strategy
% 1.82/0.86  % (1705761)Time elapsed: 0.015 s
% 1.82/0.86  % (1705761)Peak memory usage: 12 MB
% 1.82/0.86  % (1705761)Instructions burned: 59 (million)
% 1.82/0.86  % (1705761)------------------------------
% 1.82/0.86  % (1705761)------------------------------
% 1.82/0.86  % (1705763)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1352766915:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.82/0.86  % (1705750)Instruction limit reached! 
% 1.82/0.86  % (1705750)------------------------------
% 1.82/0.86  % (1705750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.82/0.86  % (1705750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/0.86  % (1705750)CaDiCaL version: 2.1.3
% 1.82/0.86  % (1705750)Termination reason: Instruction limit
% 1.82/0.86  % (1705750)Termination phase: Saturation
% 1.82/0.86  % (1705750)Time elapsed: 0.057 s
% 1.82/0.86  % (1705750)Peak memory usage: 13 MB
% 1.82/0.86  % (1705750)Instructions burned: 105 (million)
% 1.82/0.86  % (1705764)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1678154501:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.23/1.09  % (1705752)Instruction limit reached! 
% 4.23/1.09  % (1705752)------------------------------
% 4.23/1.09  % (1705752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/1.09  % (1705752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.09  % (1705752)CaDiCaL version: 2.1.3
% 4.23/1.09  % (1705752)Termination reason: Instruction limit
% 4.23/1.09  % (1705752)Termination phase: Saturation
% 4.23/1.09  % (1705752)Time elapsed: 0.063 s
% 4.23/1.09  % (1705752)Peak memory usage: 13 MB
% 4.23/1.09  % (1705752)Instructions burned: 133 (million)
% 4.23/1.09  % (1705766)ott-21_1_sil=16000:fs=off:random_seed=2047312467:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 4.23/1.09  % (1705768)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=87129856:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 4.23/1.09  % (1705753)Instruction limit reached! 
% 4.23/1.09  % (1705753)------------------------------
% 4.23/1.09  % (1705753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/1.09  % (1705753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.09  % (1705753)CaDiCaL version: 2.1.3
% 4.23/1.09  % (1705753)Termination reason: Instruction limit
% 4.23/1.09  % (1705753)Termination phase: Saturation
% 4.23/1.09  % (1705753)Time elapsed: 0.087 s
% 4.23/1.09  % (1705753)Peak memory usage: 15 MB
% 4.23/1.09  % (1705753)Instructions burned: 159 (million)
% 4.23/1.09  % (1705771)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=833108656:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 4.23/1.09  % (1705763)Instruction limit reached! 
% 4.23/1.09  % (1705763)------------------------------
% 4.23/1.09  % (1705763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/1.09  % (1705763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.09  % (1705763)CaDiCaL version: 2.1.3
% 4.23/1.09  % (1705763)Termination reason: Instruction limit
% 4.23/1.09  % (1705763)Termination phase: Saturation
% 4.23/1.09  % (1705763)Time elapsed: 0.055 s
% 4.23/1.09  % (1705763)Peak memory usage: 12 MB
% 4.23/1.09  % (1705763)Instructions burned: 133 (million)
% 4.23/1.09  % (1705773)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2336054227:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 4.23/1.09  % Detected minimum model sizes of [3]
% 4.23/1.09  % Detected maximum model sizes of [max]
% 4.23/1.09  % (1705771)Cannot represent all propositional literals internally
% 4.23/1.09  % (1705771)Refutation not found, incomplete strategy
% 4.23/1.09  % (1705771)------------------------------
% 4.23/1.09  % (1705771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/1.09  % (1705771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.09  % (1705771)CaDiCaL version: 2.1.3
% 4.23/1.09  % (1705771)Termination reason: Refutation not found, incomplete strategy
% 4.23/1.09  % (1705771)Time elapsed: 0.029 s
% 4.23/1.09  % (1705771)Peak memory usage: 12 MB
% 4.23/1.09  % (1705771)Instructions burned: 61 (million)
% 4.23/1.09  % (1705771)------------------------------
% 4.23/1.09  % (1705771)------------------------------
% 4.23/1.09  % (1705775)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3145105736:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 4.23/1.09  % (1705766)Instruction limit reached! 
% 4.23/1.09  % (1705766)------------------------------
% 4.23/1.09  % (1705766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/1.09  % (1705766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.09  % (1705766)CaDiCaL version: 2.1.3
% 4.23/1.09  % (1705766)Termination reason: Instruction limit
% 4.23/1.09  % (1705766)Termination phase: Saturation
% 4.23/1.09  % (1705766)Time elapsed: 0.094 s
% 4.23/1.09  % (1705766)Peak memory usage: 14 MB
% 4.23/1.09  % (1705766)Instructions burned: 181 (million)
% 4.23/1.09  % (1705775)Cannot represent all propositional literals internally
% 4.23/1.09  % (1705775)Refutation not found, incomplete strategy
% 4.23/1.09  % (1705775)------------------------------
% 4.23/1.09  % (1705775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/1.09  % (1705775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.09  % (1705775)CaDiCaL version: 2.1.3
% 4.23/1.09  % (1705775)Termination reason: Refutation not found, incomplete strategy
% 4.23/1.09  % (1705775)Time elapsed: 0.029 s
% 4.23/1.09  % (1705775)Peak memory usage: 12 MB
% 4.23/1.09  % (1705775)Instructions burned: 60 (million)
% 4.23/1.09  % (1705775)------------------------------
% 4.23/1.09  % (1705775)------------------------------
% 4.23/1.09  % (1705777)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2474762409:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 4.23/1.09  % (1705778)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=746220752:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 4.23/1.09  % (1705764)Instruction limit reached! 
% 4.23/1.09  % (1705764)------------------------------
% 4.23/1.09  % (1705764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/1.09  % (1705764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.09  % (1705764)CaDiCaL version: 2.1.3
% 4.23/1.09  % (1705764)Termination reason: Instruction limit
% 4.23/1.09  % (1705764)Termination phase: Saturation
% 4.23/1.09  % (1705764)Time elapsed: 0.203 s
% 4.23/1.09  % (1705764)Peak memory usage: 20 MB
% 4.23/1.09  % (1705764)Instructions burned: 687 (million)
% 4.23/1.09  % (1705781)fmb+10_1_sil=64000:random_seed=4202822770:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 4.23/1.09  % Detected minimum model sizes of [3]
% 4.23/1.09  % Detected maximum model sizes of [max]
% 4.23/1.09  % (1705781)Cannot represent all propositional literals internally
% 4.23/1.09  % (1705781)Refutation not found, incomplete strategy
% 4.23/1.09  % (1705781)------------------------------
% 4.23/1.09  % (1705781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/1.09  % (1705781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.09  % (1705781)CaDiCaL version: 2.1.3
% 4.23/1.09  % (1705781)Termination reason: Refutation not found, incomplete strategy
% 4.23/1.09  % (1705781)Time elapsed: 0.015 s
% 4.23/1.09  % (1705781)Peak memory usage: 12 MB
% 4.23/1.09  % (1705781)Instructions burned: 57 (million)
% 4.23/1.09  % (1705781)------------------------------
% 4.23/1.09  % (1705781)------------------------------
% 4.23/1.09  % (1705783)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=901414313:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 4.23/1.09  % Detected minimum model sizes of [3]
% 4.23/1.09  % Detected maximum model sizes of [max]
% 4.23/1.09  % (1705783)Cannot represent all propositional literals internally
% 4.23/1.09  % (1705783)Refutation not found, incomplete strategy
% 4.23/1.09  % (1705783)------------------------------
% 4.23/1.09  % (1705783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/1.09  % (1705783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.09  % (1705783)CaDiCaL version: 2.1.3
% 4.23/1.09  % (1705783)Termination reason: Refutation not found, incomplete strategy
% 4.23/1.09  % (1705783)Time elapsed: 0.015 s
% 4.23/1.09  % (1705783)Peak memory usage: 12 MB
% 4.23/1.09  % (1705783)Instructions burned: 60 (million)
% 4.23/1.09  % (1705783)------------------------------
% 4.23/1.09  % (1705783)------------------------------
% 4.23/1.09  % (1705785)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4003448009:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 4.23/1.09  % Detected minimum model sizes of [3]
% 4.23/1.09  % Detected maximum model sizes of [max]
% 4.23/1.09  % (1705785)Cannot represent all propositional literals internally
% 4.23/1.09  % (1705785)Refutation not found, incomplete strategy
% 4.23/1.09  % (1705785)------------------------------
% 4.23/1.09  % (1705785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/1.09  % (1705785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.09  % (1705785)CaDiCaL version: 2.1.3
% 4.23/1.09  % (1705785)Termination reason: Refutation not found, incomplete strategy
% 4.23/1.09  % (1705785)Time elapsed: 0.015 s
% 4.23/1.09  % (1705785)Peak memory usage: 12 MB
% 4.23/1.09  % (1705785)Instructions burned: 61 (million)
% 4.23/1.09  % (1705785)------------------------------
% 4.23/1.09  % (1705785)------------------------------
% 4.23/1.09  % (1705787)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1114155816:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 4.23/1.09  % (1705768)Instruction limit reached! 
% 4.23/1.09  % (1705768)------------------------------
% 4.23/1.09  % (1705768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/1.09  % (1705768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.09  % (1705768)CaDiCaL version: 2.1.3
% 4.23/1.09  % (1705768)Termination reason: Instruction limit
% 4.23/1.09  % (1705768)Termination phase: Saturation
% 4.23/1.09  % (1705768)Time elapsed: 0.304 s
% 4.23/1.09  % (1705768)Peak memory usage: 15 MB
% 4.23/1.09  % (1705768)Instructions burned: 478 (million)
% 4.23/1.09  % (1705789)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3208242147:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 4.23/1.09  % (1705777)Instruction limit reached! 
% 4.23/1.09  % (1705777)------------------------------
% 4.23/1.09  % (1705777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/1.09  % (1705777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.09  % (1705777)CaDiCaL version: 2.1.3
% 4.23/1.09  % (1705777)Termination reason: Instruction limit
% 4.23/1.09  % (1705777)Termination phase: Saturation
% 4.23/1.09  % (1705777)Time elapsed: 0.380 s
% 4.23/1.09  % (1705777)Peak memory usage: 22 MB
% 4.23/1.09  % (1705777)Instructions burned: 692 (million)
% 4.23/1.09  % (1705791)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4013453054:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 4.23/1.09  % (1705787) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1705742-1705787"...
% 4.23/1.09  % (1705787)...printing done.
% 4.23/1.09  % (1705787)Refutation found. Thanks to Tanya!
% 4.23/1.09  % SZS status Theorem for theBenchmark
% 4.23/1.09  % SZS output start Proof for theBenchmark
% See solution above
% 4.23/1.09  % (1705787)------------------------------
% 4.23/1.09  % (1705787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/1.09  % (1705787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.09  % (1705787)CaDiCaL version: 2.1.3
% 4.23/1.09  % (1705787)Termination reason: Refutation
% 4.23/1.09  % (1705787)Time elapsed: 0.256 s
% 4.23/1.09  % (1705787)Peak memory usage: 18 MB
% 4.23/1.09  % (1705787)Instructions burned: 1062 (million)
% 4.23/1.09  % (1705742)Success in time 0.656 s
% 4.23/1.09  % Vampire exiting
%------------------------------------------------------------------------------