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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO290+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% 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 09:54:22 AM UTC 2026

% Result   : Theorem 2.46s 0.91s
% Output   : Refutation 2.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  136 (  55 unt;   4 def)
%            Number of atoms       :  517 ( 192 equ)
%            Maximal formula atoms :   22 (   3 avg)
%            Number of connectives :  654 ( 273   ~; 293   |;  79   &)
%                                         (   7 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;  19 con; 0-3 aty)
%            Number of variables   :  126 (   0 sgn 106   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( rR(vd1199,vd1185,vd1186)
    | rR(vd1185,vd1199,vd1186) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','dis(276)') ).

fof(f2,negated_conjecture,
    ~ ( rR(vd1199,vd1185,vd1186)
      | rR(vd1185,vd1199,vd1186) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,axiom,
    vd1199 != vd1185,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(275, 1217, 0)') ).

fof(f6,axiom,
    ron(vd1185,vd1197),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(269)), 0)') ).

fof(f8,axiom,
    vd1200 = vd1186,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)') ).

fof(f9,axiom,
    ron(vd1186,vd1197),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(269)), 0)') ).

fof(f10,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/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).

fof(f13,axiom,
    rline(vd1197),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(269, 0)') ).

fof(f15,axiom,
    ~ rR(vd1186,vd1199,vd1185),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(conjunct2(conjunct2(comma_conjunct2(plural(271))))))') ).

fof(f16,axiom,
    ron(vd1199,vd1197),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(conjunct2(comma_conjunct2(plural(271)))), 0)') ).

fof(f19,axiom,
    vf(vd1178,vd1179) = vf(vd1199,vd1200),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(conjunct2(conjunct2(plural(271))))), 1209, 0)') ).

fof(f24,axiom,
    ? [X0] :
      ( vd1200 = X0
      & rpoint(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s2(plural(271)))') ).

fof(f25,axiom,
    ? [X0] :
      ( vd1199 = X0
      & rpoint(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(271)))') ).

fof(f27,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/sandbox/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(f31,axiom,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( X1 = X2
            & rpoint(X2) )
        & ? [X3] :
            ( X0 = X3
            & rpoint(X3) ) )
     => ( vf(X0,X1) = v0
      <=> X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).

fof(f69,axiom,
    v0 = vd684,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).

fof(f141,plain,
    ( ~ rR(vd1199,vd1185,vd1186)
    & ~ rR(vd1185,vd1199,vd1186) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f142,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,[],[f10]) ).

fof(f143,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,[],[f142]) ).

fof(f144,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,[],[f27]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( ( vf(X0,X1) = v0
      <=> X0 = X1 )
      | ! [X2] :
          ( X1 != X2
          | ~ rpoint(X2) )
      | ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) ) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( ( vf(X0,X1) = v0
      <=> X0 = X1 )
      | ! [X2] :
          ( X1 != X2
          | ~ rpoint(X2) )
      | ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) ) ),
    inference(flattening,[],[f151]) ).

fof(f350,plain,
    ( vd1200 = sK2
    & rpoint(sK2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f24]) ).

fof(f351,plain,
    ( vd1199 = sK3
    & rpoint(sK3) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f25]) ).

fof(f352,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 = sK4
    & rpoint(sK4)
    & vd1186 = sK5
    & rpoint(sK5)
    & vd1185 = sK6
    & rpoint(sK6)
    & vd1179 != vd1180
    & vd1178 != vd1180
    & vd1178 != vd1179
    & vd1180 = sK7
    & rpoint(sK7)
    & vd1179 = sK8
    & rpoint(sK8)
    & vd1178 = sK9
    & rpoint(sK9) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X6,sK9)],[f144]) ).

fof(f353,plain,
    ! [X0,X1] :
      ( ( ( vf(X0,X1) = v0
          | X0 != X1 )
        & ( X0 = X1
          | vf(X0,X1) != v0 ) )
      | ! [X2] :
          ( X1 != X2
          | ~ rpoint(X2) )
      | ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) ) ),
    inference(nnf_transformation,[],[f152]) ).

fof(f425,plain,
    ~ rR(vd1185,vd1199,vd1186),
    inference(cnf_transformation,[],[f141]) ).

fof(f426,plain,
    ~ rR(vd1199,vd1185,vd1186),
    inference(cnf_transformation,[],[f141]) ).

fof(f427,plain,
    vd1199 != vd1185,
    inference(cnf_transformation,[],[f3]) ).

fof(f430,plain,
    ron(vd1185,vd1197),
    inference(cnf_transformation,[],[f6]) ).

fof(f432,plain,
    vd1186 = vd1200,
    inference(cnf_transformation,[],[f8]) ).

fof(f433,plain,
    ron(vd1186,vd1197),
    inference(cnf_transformation,[],[f9]) ).

fof(f434,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( 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
      | X2 != X5
      | ~ rpoint(X5)
      | X1 != X6
      | ~ rpoint(X6)
      | X0 != X7
      | ~ rpoint(X7) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f437,plain,
    rline(vd1197),
    inference(cnf_transformation,[],[f13]) ).

fof(f439,plain,
    ~ rR(vd1186,vd1199,vd1185),
    inference(cnf_transformation,[],[f15]) ).

fof(f440,plain,
    ron(vd1199,vd1197),
    inference(cnf_transformation,[],[f16]) ).

fof(f443,plain,
    vf(vd1199,vd1200) = vf(vd1178,vd1179),
    inference(cnf_transformation,[],[f19]) ).

fof(f450,plain,
    vd1200 = sK2,
    inference(cnf_transformation,[],[f350]) ).

fof(f451,plain,
    rpoint(sK3),
    inference(cnf_transformation,[],[f351]) ).

fof(f452,plain,
    vd1199 = sK3,
    inference(cnf_transformation,[],[f351]) ).

fof(f455,plain,
    vd1178 = sK9,
    inference(cnf_transformation,[],[f352]) ).

fof(f457,plain,
    vd1179 = sK8,
    inference(cnf_transformation,[],[f352]) ).

fof(f463,plain,
    rpoint(sK6),
    inference(cnf_transformation,[],[f352]) ).

fof(f464,plain,
    vd1185 = sK6,
    inference(cnf_transformation,[],[f352]) ).

fof(f465,plain,
    rpoint(sK5),
    inference(cnf_transformation,[],[f352]) ).

fof(f466,plain,
    vd1186 = sK5,
    inference(cnf_transformation,[],[f352]) ).

fof(f469,plain,
    vf(vd1185,vd1186) = vf(vd1178,vd1179),
    inference(cnf_transformation,[],[f352]) ).

fof(f476,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | vf(X0,X1) != v0
      | X1 != X2
      | ~ rpoint(X2)
      | X0 != X3
      | ~ rpoint(X3) ),
    inference(cnf_transformation,[],[f353]) ).

fof(f477,plain,
    ! [X2,X3,X0,X1] :
      ( vf(X0,X1) = v0
      | X0 != X1
      | X1 != X2
      | ~ rpoint(X2)
      | X0 != X3
      | ~ rpoint(X3) ),
    inference(cnf_transformation,[],[f353]) ).

fof(f557,plain,
    v0 = vd684,
    inference(cnf_transformation,[],[f69]) ).

fof(f705,plain,
    vd1186 = sK2,
    inference(definition_unfolding,[],[f432,f450]) ).

fof(f706,plain,
    ~ rR(sK3,sK6,sK2),
    inference(definition_unfolding,[],[f426,f452,f464,f705]) ).

fof(f707,plain,
    ~ rR(sK6,sK3,sK2),
    inference(definition_unfolding,[],[f425,f464,f452,f705]) ).

fof(f708,plain,
    sK3 != sK6,
    inference(definition_unfolding,[],[f427,f452,f464]) ).

fof(f711,plain,
    ron(sK6,vd1197),
    inference(definition_unfolding,[],[f430,f464]) ).

fof(f713,plain,
    ron(sK2,vd1197),
    inference(definition_unfolding,[],[f433,f705]) ).

fof(f717,plain,
    ~ rR(sK2,sK3,sK6),
    inference(definition_unfolding,[],[f439,f705,f452,f464]) ).

fof(f718,plain,
    ron(sK3,vd1197),
    inference(definition_unfolding,[],[f440,f452]) ).

fof(f721,plain,
    vf(sK3,sK2) = vf(sK9,sK8),
    inference(definition_unfolding,[],[f443,f452,f450,f455,f457]) ).

fof(f729,plain,
    vf(sK6,sK2) = vf(sK9,sK8),
    inference(definition_unfolding,[],[f469,f464,f705,f455,f457]) ).

fof(f730,plain,
    sK2 = sK5,
    inference(definition_unfolding,[],[f466,f705]) ).

fof(f734,plain,
    ! [X2,X3,X0,X1] :
      ( vf(X0,X1) = vd684
      | X0 != X1
      | X1 != X2
      | ~ rpoint(X2)
      | X0 != X3
      | ~ rpoint(X3) ),
    inference(definition_unfolding,[],[f477,f557]) ).

fof(f735,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | vf(X0,X1) != vd684
      | X1 != X2
      | ~ rpoint(X2)
      | X0 != X3
      | ~ rpoint(X3) ),
    inference(definition_unfolding,[],[f476,f557]) ).

fof(f743,plain,
    ! [X2,X0,X1,X6,X7,X4,X5] :
      ( rR(X1,X0,X2)
      | rR(X0,X1,X2)
      | rR(X2,X0,X1)
      | ~ ron(X2,X4)
      | ~ ron(X1,X4)
      | ~ ron(X0,X4)
      | ~ rline(X4)
      | X1 = X2
      | X0 = X2
      | X0 = X1
      | X2 != X5
      | ~ rpoint(X5)
      | X1 != X6
      | ~ rpoint(X6)
      | X0 != X7
      | ~ rpoint(X7) ),
    inference(equality_resolution,[],[f434]) ).

fof(f744,plain,
    ! [X0,X1,X6,X7,X4,X5] :
      ( rR(X1,X0,X5)
      | rR(X0,X1,X5)
      | rR(X5,X0,X1)
      | ~ ron(X5,X4)
      | ~ ron(X1,X4)
      | ~ ron(X0,X4)
      | ~ rline(X4)
      | X1 = X5
      | X0 = X5
      | X0 = X1
      | ~ rpoint(X5)
      | X1 != X6
      | ~ rpoint(X6)
      | X0 != X7
      | ~ rpoint(X7) ),
    inference(equality_resolution,[],[f743]) ).

fof(f745,plain,
    ! [X0,X6,X7,X4,X5] :
      ( rR(X6,X0,X5)
      | rR(X0,X6,X5)
      | rR(X5,X0,X6)
      | ~ ron(X5,X4)
      | ~ ron(X6,X4)
      | ~ ron(X0,X4)
      | ~ rline(X4)
      | X5 = X6
      | X0 = X5
      | X0 = X6
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | X0 != X7
      | ~ rpoint(X7) ),
    inference(equality_resolution,[],[f744]) ).

fof(f746,plain,
    ! [X6,X7,X4,X5] :
      ( rR(X7,X6,X5)
      | rR(X6,X7,X5)
      | rR(X5,X7,X6)
      | ~ ron(X5,X4)
      | ~ ron(X6,X4)
      | ~ ron(X7,X4)
      | ~ rline(X4)
      | X5 = X6
      | X5 = X7
      | X6 = X7
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7) ),
    inference(equality_resolution,[],[f745]) ).

fof(f759,plain,
    ! [X2,X3,X1] :
      ( vd684 = vf(X1,X1)
      | X1 != X2
      | ~ rpoint(X2)
      | X1 != X3
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f734]) ).

fof(f760,plain,
    ! [X2,X3] :
      ( vd684 = vf(X2,X2)
      | ~ rpoint(X2)
      | X2 != X3
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f759]) ).

fof(f761,plain,
    ! [X3] :
      ( vd684 = vf(X3,X3)
      | ~ rpoint(X3)
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f760]) ).

fof(f762,plain,
    ! [X2,X3,X0] :
      ( X0 = X2
      | vf(X0,X2) != vd684
      | ~ rpoint(X2)
      | X0 != X3
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f735]) ).

fof(f763,plain,
    ! [X2,X3] :
      ( vd684 != vf(X3,X2)
      | X2 = X3
      | ~ rpoint(X2)
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f762]) ).

fof(f1443,plain,
    ! [X3] :
      ( ~ rpoint(X3)
      | vd684 = vf(X3,X3) ),
    inference(duplicate_literal_removal,[],[f761]) ).

fof(f1491,plain,
    vf(sK9,sK8) = vf(sK6,sK5),
    inference(forward_demodulation,[],[f729,f730]) ).

fof(f1498,plain,
    vf(sK9,sK8) = vf(sK3,sK5),
    inference(forward_demodulation,[],[f721,f730]) ).

fof(f1500,plain,
    ~ rR(sK5,sK3,sK6),
    inference(forward_demodulation,[],[f717,f730]) ).

fof(f1502,plain,
    ron(sK5,vd1197),
    inference(forward_demodulation,[],[f713,f730]) ).

fof(f1504,plain,
    ~ rR(sK6,sK3,sK5),
    inference(forward_demodulation,[],[f707,f730]) ).

fof(f1505,plain,
    ~ rR(sK3,sK6,sK5),
    inference(forward_demodulation,[],[f706,f730]) ).

fof(f1514,plain,
    vd684 = vf(sK5,sK5),
    inference(resolution,[],[f1443,f465]) ).

fof(f1867,plain,
    ( vd684 != vf(sK9,sK8)
    | sK3 = sK5
    | ~ rpoint(sK5)
    | ~ rpoint(sK3) ),
    inference(superposition,[],[f763,f1498]) ).

fof(f1869,plain,
    ( vd684 != vf(sK9,sK8)
    | sK5 = sK6
    | ~ rpoint(sK5)
    | ~ rpoint(sK6) ),
    inference(superposition,[],[f763,f1491]) ).

fof(f1872,plain,
    ( vd684 != vf(sK9,sK8)
    | sK5 = sK6
    | ~ rpoint(sK6) ),
    inference(forward_subsumption_resolution,[],[f1869,f465]) ).

fof(f1874,plain,
    ( vd684 != vf(sK9,sK8)
    | sK3 = sK5
    | ~ rpoint(sK3) ),
    inference(forward_subsumption_resolution,[],[f1867,f465]) ).

fof(f1877,plain,
    ( vd684 != vf(sK9,sK8)
    | sK5 = sK6 ),
    inference(forward_subsumption_resolution,[],[f1872,f463]) ).

fof(f1879,plain,
    ( vd684 != vf(sK9,sK8)
    | sK3 = sK5 ),
    inference(forward_subsumption_resolution,[],[f1874,f451]) ).

fof(f1883,definition,
    ( spl55_17
  <=> sK5 = sK6 ),
    introduced(definition,[new_symbols(definition,[spl55_17])],[avatar_definition]) ).

fof(f1884,plain,
    ( sK5 != sK6
    | spl55_17 ),
    inference(avatar_component_clause,[],[f1883]) ).

fof(f1885,plain,
    ( sK5 = sK6
    | ~ spl55_17 ),
    inference(avatar_component_clause,[],[f1883]) ).

fof(f1887,definition,
    ( spl55_18
  <=> vd684 = vf(sK9,sK8) ),
    introduced(definition,[new_symbols(definition,[spl55_18])],[avatar_definition]) ).

fof(f1889,plain,
    ( vd684 != vf(sK9,sK8)
    | spl55_18 ),
    inference(avatar_component_clause,[],[f1887]) ).

fof(f1890,plain,
    ( spl55_17
    | ~ spl55_18 ),
    inference(avatar_split_clause,[],[f1877,f1887,f1883]) ).

fof(f1901,definition,
    ( spl55_21
  <=> sK3 = sK5 ),
    introduced(definition,[new_symbols(definition,[spl55_21])],[avatar_definition]) ).

fof(f1902,plain,
    ( sK3 != sK5
    | spl55_21 ),
    inference(avatar_component_clause,[],[f1901]) ).

fof(f1903,plain,
    ( sK3 = sK5
    | ~ spl55_21 ),
    inference(avatar_component_clause,[],[f1901]) ).

fof(f1904,plain,
    ( spl55_21
    | ~ spl55_18 ),
    inference(avatar_split_clause,[],[f1879,f1887,f1901]) ).

fof(f5079,plain,
    ! [X0] :
      ( rR(sK3,sK6,sK5)
      | rR(sK5,sK3,sK6)
      | ~ ron(sK5,X0)
      | ~ ron(sK6,X0)
      | ~ ron(sK3,X0)
      | ~ rline(X0)
      | sK5 = sK6
      | sK3 = sK5
      | sK3 = sK6
      | ~ rpoint(sK5)
      | ~ rpoint(sK6)
      | ~ rpoint(sK3) ),
    inference(resolution,[],[f746,f1504]) ).

fof(f6203,plain,
    ( sK3 != sK5
    | ~ spl55_17 ),
    inference(superposition,[],[f708,f1885]) ).

fof(f6206,plain,
    ( vf(sK9,sK8) = vf(sK5,sK5)
    | ~ spl55_17 ),
    inference(superposition,[],[f1491,f1885]) ).

fof(f6256,plain,
    ( vd684 = vf(sK9,sK8)
    | ~ spl55_17 ),
    inference(forward_demodulation,[],[f6206,f1514]) ).

fof(f6258,plain,
    ( $false
    | ~ spl55_17
    | ~ spl55_21 ),
    inference(forward_subsumption_resolution,[],[f6203,f1903]) ).

fof(f6259,plain,
    ( ~ spl55_17
    | ~ spl55_21 ),
    inference(avatar_contradiction_clause,[],[f6258]) ).

fof(f6269,plain,
    ( $false
    | ~ spl55_17
    | spl55_18 ),
    inference(forward_subsumption_resolution,[],[f6256,f1889]) ).

fof(f6270,plain,
    ( ~ spl55_17
    | spl55_18 ),
    inference(avatar_contradiction_clause,[],[f6269]) ).

fof(f7119,plain,
    ( vf(sK9,sK8) = vf(sK5,sK5)
    | ~ spl55_21 ),
    inference(superposition,[],[f1498,f1903]) ).

fof(f7160,plain,
    ( vd684 = vf(sK9,sK8)
    | ~ spl55_21 ),
    inference(forward_demodulation,[],[f7119,f1514]) ).

fof(f7162,plain,
    ( $false
    | spl55_18
    | ~ spl55_21 ),
    inference(forward_subsumption_resolution,[],[f7160,f1889]) ).

fof(f7163,plain,
    ( spl55_18
    | ~ spl55_21 ),
    inference(avatar_contradiction_clause,[],[f7162]) ).

fof(f8336,plain,
    ! [X0] :
      ( rR(sK5,sK3,sK6)
      | ~ ron(sK5,X0)
      | ~ ron(sK6,X0)
      | ~ ron(sK3,X0)
      | ~ rline(X0)
      | sK5 = sK6
      | sK3 = sK5
      | sK3 = sK6
      | ~ rpoint(sK5)
      | ~ rpoint(sK6)
      | ~ rpoint(sK3) ),
    inference(forward_subsumption_resolution,[],[f5079,f1505]) ).

fof(f8357,plain,
    ! [X0] :
      ( ~ ron(sK5,X0)
      | ~ ron(sK6,X0)
      | ~ ron(sK3,X0)
      | ~ rline(X0)
      | sK5 = sK6
      | sK3 = sK5
      | sK3 = sK6
      | ~ rpoint(sK5)
      | ~ rpoint(sK6)
      | ~ rpoint(sK3) ),
    inference(forward_subsumption_resolution,[],[f8336,f1500]) ).

fof(f8377,plain,
    ( ! [X0] :
        ( ~ ron(sK5,X0)
        | ~ ron(sK6,X0)
        | ~ ron(sK3,X0)
        | ~ rline(X0)
        | sK3 = sK5
        | sK3 = sK6
        | ~ rpoint(sK5)
        | ~ rpoint(sK6)
        | ~ rpoint(sK3) )
    | spl55_17 ),
    inference(forward_subsumption_resolution,[],[f8357,f1884]) ).

fof(f8392,plain,
    ( ! [X0] :
        ( ~ ron(sK5,X0)
        | ~ ron(sK6,X0)
        | ~ ron(sK3,X0)
        | ~ rline(X0)
        | sK3 = sK6
        | ~ rpoint(sK5)
        | ~ rpoint(sK6)
        | ~ rpoint(sK3) )
    | spl55_17
    | spl55_21 ),
    inference(forward_subsumption_resolution,[],[f8377,f1902]) ).

fof(f8406,plain,
    ( ! [X0] :
        ( ~ ron(sK5,X0)
        | ~ ron(sK6,X0)
        | ~ ron(sK3,X0)
        | ~ rline(X0)
        | ~ rpoint(sK5)
        | ~ rpoint(sK6)
        | ~ rpoint(sK3) )
    | spl55_17
    | spl55_21 ),
    inference(forward_subsumption_resolution,[],[f8392,f708]) ).

fof(f8420,plain,
    ( ! [X0] :
        ( ~ ron(sK5,X0)
        | ~ ron(sK6,X0)
        | ~ ron(sK3,X0)
        | ~ rline(X0)
        | ~ rpoint(sK6)
        | ~ rpoint(sK3) )
    | spl55_17
    | spl55_21 ),
    inference(forward_subsumption_resolution,[],[f8406,f465]) ).

fof(f8439,plain,
    ( ! [X0] :
        ( ~ ron(sK5,X0)
        | ~ ron(sK6,X0)
        | ~ ron(sK3,X0)
        | ~ rline(X0)
        | ~ rpoint(sK3) )
    | spl55_17
    | spl55_21 ),
    inference(forward_subsumption_resolution,[],[f8420,f463]) ).

fof(f8655,definition,
    ( spl55_153
  <=> ! [X3] :
        ( ~ ron(sK5,X3)
        | ~ rline(X3)
        | ~ ron(sK3,X3)
        | ~ ron(sK6,X3) ) ),
    introduced(definition,[new_symbols(definition,[spl55_153])],[avatar_definition]) ).

fof(f8656,plain,
    ( ! [X3] :
        ( ~ ron(sK6,X3)
        | ~ rline(X3)
        | ~ ron(sK3,X3)
        | ~ ron(sK5,X3) )
    | ~ spl55_153 ),
    inference(avatar_component_clause,[],[f8655]) ).

fof(f8879,plain,
    ( ! [X0] :
        ( ~ ron(sK5,X0)
        | ~ ron(sK6,X0)
        | ~ ron(sK3,X0)
        | ~ rline(X0) )
    | spl55_17
    | spl55_21 ),
    inference(forward_subsumption_resolution,[],[f8439,f451]) ).

fof(f8929,plain,
    ( ~ rline(vd1197)
    | ~ ron(sK3,vd1197)
    | ~ ron(sK5,vd1197)
    | ~ spl55_153 ),
    inference(resolution,[],[f8656,f711]) ).

fof(f8938,plain,
    ( ~ ron(sK3,vd1197)
    | ~ ron(sK5,vd1197)
    | ~ spl55_153 ),
    inference(forward_subsumption_resolution,[],[f8929,f437]) ).

fof(f8943,plain,
    ( ~ ron(sK5,vd1197)
    | ~ spl55_153 ),
    inference(forward_subsumption_resolution,[],[f8938,f718]) ).

fof(f8944,plain,
    ( $false
    | ~ spl55_153 ),
    inference(forward_subsumption_resolution,[],[f8943,f1502]) ).

fof(f8945,plain,
    ~ spl55_153,
    inference(avatar_contradiction_clause,[],[f8944]) ).

fof(f8949,plain,
    ( spl55_153
    | spl55_17
    | spl55_21 ),
    inference(avatar_split_clause,[],[f8879,f1901,f1883,f8655]) ).

cnf(s20,plain,
    ( spl55_17
    | ~ spl55_18 ),
    inference(sat_conversion,[],[f1890]) ).

cnf(s22,plain,
    ( ~ spl55_18
    | spl55_21 ),
    inference(sat_conversion,[],[f1904]) ).

cnf(s73,plain,
    ( ~ spl55_17
    | ~ spl55_21 ),
    inference(sat_conversion,[],[f6259]) ).

cnf(s74,plain,
    ( ~ spl55_17
    | spl55_18 ),
    inference(sat_conversion,[],[f6270]) ).

cnf(s108,plain,
    ( spl55_18
    | ~ spl55_21 ),
    inference(sat_conversion,[],[f7163]) ).

cnf(s201,plain,
    ~ spl55_153,
    inference(sat_conversion,[],[f8945]) ).

cnf(s203,plain,
    ( spl55_17
    | spl55_21
    | spl55_153 ),
    inference(sat_conversion,[],[f8949]) ).

cnf(s258,plain,
    spl55_17,
    inference(rat,[],[s108,s20,s203,s201]) ).

cnf(s259,plain,
    spl55_18,
    inference(rat,[],[s74,s258]) ).

cnf(s260,plain,
    ~ spl55_21,
    inference(rat,[],[s73,s258]) ).

cnf(s261,plain,
    $false,
    inference(rat,[],[s22,s260,s259]) ).

fof(f8995,plain,
    $false,
    inference(avatar_sat_refutation,[],[s261]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO290+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37  % Computer : n020.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 08:01:04 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.41  Running first-order model finding
% 0.16/0.41  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.46/0.91  % (3078484)Will run a generic schedule for satisfiability detection.
% 2.46/0.91  % (3078495)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1947888993:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.46/0.91  % (3078490)% WARNING: option uhcvi not known.
% 2.46/0.91  % (3078489)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2526426389_2999 on theBenchmark for (2999ds/0Mi)
% 2.46/0.91  % (3078493)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=636881401:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.46/0.91  % (3078492)dis+10_1_sil=32000:sp=arity:random_seed=3355482234:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.46/0.91  % (3078490)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=461741711:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.46/0.91  % (3078491)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=842692995:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.46/0.91  % (3078494)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3709601084:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.46/0.91  % (3078495)Instruction limit reached! 
% 2.46/0.91  % (3078495)------------------------------
% 2.46/0.91  % (3078495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.91  % (3078495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.91  % (3078495)CaDiCaL version: 2.1.3
% 2.46/0.91  % (3078495)Termination reason: Instruction limit
% 2.46/0.91  % (3078495)Termination phase: Saturation
% 2.46/0.91  % (3078495)Time elapsed: 0.050 s
% 2.46/0.91  % (3078495)Peak memory usage: 15 MB
% 2.46/0.91  % (3078495)Instructions burned: 161 (million)
% 2.46/0.91  % Detected minimum model sizes of [3]
% 2.46/0.91  % Detected maximum model sizes of [max]
% 2.46/0.91  % (3078489)Cannot represent all propositional literals internally
% 2.46/0.91  % (3078489)Refutation not found, incomplete strategy
% 2.46/0.91  % (3078489)------------------------------
% 2.46/0.91  % (3078489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.91  % (3078489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.91  % (3078489)CaDiCaL version: 2.1.3
% 2.46/0.91  % (3078489)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.91  % (3078489)Time elapsed: 0.046 s
% 2.46/0.91  % (3078489)Peak memory usage: 12 MB
% 2.46/0.91  % (3078489)Instructions burned: 72 (million)
% 2.46/0.91  % (3078489)------------------------------
% 2.46/0.91  % (3078489)------------------------------
% 2.46/0.91  % (3078503)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2244025705:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.46/0.91  % (3078493)Instruction limit reached! 
% 2.46/0.91  % (3078493)------------------------------
% 2.46/0.91  % (3078493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.91  % (3078493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.91  % (3078493)CaDiCaL version: 2.1.3
% 2.46/0.91  % (3078493)Termination reason: Instruction limit
% 2.46/0.91  % (3078493)Termination phase: Saturation
% 2.46/0.91  % (3078493)Time elapsed: 0.060 s
% 2.46/0.91  % (3078493)Peak memory usage: 13 MB
% 2.46/0.91  % (3078493)Instructions burned: 116 (million)
% 2.46/0.91  % (3078494)Instruction limit reached! 
% 2.46/0.91  % (3078494)------------------------------
% 2.46/0.91  % (3078494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.91  % (3078494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.91  % (3078494)CaDiCaL version: 2.1.3
% 2.46/0.91  % (3078494)Termination reason: Instruction limit
% 2.46/0.91  % (3078494)Termination phase: Saturation
% 2.46/0.91  % (3078494)Time elapsed: 0.061 s
% 2.46/0.91  % (3078494)Peak memory usage: 13 MB
% 2.46/0.91  % (3078494)Instructions burned: 132 (million)
% 2.46/0.91  % (3078492)Instruction limit reached! 
% 2.46/0.91  % (3078492)------------------------------
% 2.46/0.91  % (3078492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.91  % (3078492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.91  % (3078492)CaDiCaL version: 2.1.3
% 2.46/0.91  % (3078492)Termination reason: Instruction limit
% 2.46/0.91  % (3078492)Termination phase: Saturation
% 2.46/0.91  % (3078492)Time elapsed: 0.066 s
% 2.46/0.91  % (3078492)Peak memory usage: 13 MB
% 2.46/0.91  % (3078492)Instructions burned: 103 (million)
% 2.46/0.91  % (3078504)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2650693630:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.46/0.91  % Detected minimum model sizes of [3]
% 2.46/0.91  % Detected maximum model sizes of [max]
% 2.46/0.91  % (3078503)Cannot represent all propositional literals internally
% 2.46/0.91  % (3078503)Refutation not found, incomplete strategy
% 2.46/0.91  % (3078503)------------------------------
% 2.46/0.91  % (3078503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.91  % (3078503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.91  % (3078503)CaDiCaL version: 2.1.3
% 2.46/0.91  % (3078503)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.91  % (3078503)Time elapsed: 0.015 s
% 2.46/0.91  % (3078503)Peak memory usage: 12 MB
% 2.46/0.91  % (3078503)Instructions burned: 57 (million)
% 2.46/0.91  % (3078503)------------------------------
% 2.46/0.91  % (3078503)------------------------------
% 2.46/0.91  % (3078506)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=1203961357:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.46/0.91  % (3078507)ott-21_1_sil=16000:fs=off:random_seed=1879582469:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.46/0.91  % (3078510)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=756842698:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.46/0.91  % (3078508)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=493197871:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.46/0.91  % Detected minimum model sizes of [3]
% 2.46/0.91  % Detected maximum model sizes of [max]
% 2.46/0.91  % (3078510)Cannot represent all propositional literals internally
% 2.46/0.91  % (3078510)Refutation not found, incomplete strategy
% 2.46/0.91  % (3078510)------------------------------
% 2.46/0.91  % (3078510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.91  % (3078510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.91  % (3078510)CaDiCaL version: 2.1.3
% 2.46/0.91  % (3078510)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.91  % (3078510)Time elapsed: 0.015 s
% 2.46/0.91  % (3078510)Peak memory usage: 11 MB
% 2.46/0.91  % (3078510)Instructions burned: 59 (million)
% 2.46/0.91  % (3078510)------------------------------
% 2.46/0.91  % (3078510)------------------------------
% 2.46/0.91  % (3078515)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3660670147:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 2.46/0.91  % (3078504)Instruction limit reached! 
% 2.46/0.91  % (3078504)------------------------------
% 2.46/0.91  % (3078504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.91  % (3078504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.91  % (3078504)CaDiCaL version: 2.1.3
% 2.46/0.91  % (3078504)Termination reason: Instruction limit
% 2.46/0.91  % (3078504)Termination phase: Saturation
% 2.46/0.91  % (3078504)Time elapsed: 0.055 s
% 2.46/0.91  % (3078504)Peak memory usage: 13 MB
% 2.46/0.91  % (3078504)Instructions burned: 132 (million)
% 2.46/0.91  % (3078517)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1908778273:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 2.46/0.91  % (3078517)Cannot represent all propositional literals internally
% 2.46/0.91  % (3078517)Refutation not found, incomplete strategy
% 2.46/0.91  % (3078517)------------------------------
% 2.46/0.91  % (3078517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.91  % (3078517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.91  % (3078517)CaDiCaL version: 2.1.3
% 2.46/0.91  % (3078517)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.91  % (3078517)Time elapsed: 0.028 s
% 2.46/0.91  % (3078517)Peak memory usage: 12 MB
% 2.46/0.91  % (3078517)Instructions burned: 58 (million)
% 2.46/0.91  % (3078507)Instruction limit reached! 
% 2.46/0.91  % (3078507)------------------------------
% 2.46/0.91  % (3078507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.91  % (3078507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.91  % (3078507)CaDiCaL version: 2.1.3
% 2.46/0.91  % (3078507)Termination reason: Instruction limit
% 2.46/0.91  % (3078507)Termination phase: Saturation
% 2.46/0.91  % (3078507)Time elapsed: 0.093 s
% 2.46/0.91  % (3078507)Peak memory usage: 14 MB
% 2.46/0.91  % (3078507)Instructions burned: 181 (million)
% 2.46/0.91  % (3078517)------------------------------
% 2.46/0.91  % (3078517)------------------------------
% 2.46/0.91  % (3078533)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1525810176:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 2.46/0.91  % (3078532)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=2589402356: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)
% 2.46/0.91  % (3078508)Instruction limit reached! 
% 2.46/0.91  % (3078508)------------------------------
% 2.46/0.91  % (3078508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.91  % (3078508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.91  % (3078508)CaDiCaL version: 2.1.3
% 2.46/0.91  % (3078508)Termination reason: Instruction limit
% 2.46/0.91  % (3078508)Termination phase: Saturation
% 2.46/0.91  % (3078508)Time elapsed: 0.308 s
% 2.46/0.91  % (3078508)Peak memory usage: 15 MB
% 2.46/0.91  % (3078508)Instructions burned: 478 (million)
% 2.46/0.91  % (3078609)fmb+10_1_sil=64000:random_seed=1716738803:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 2.46/0.91  % Detected minimum model sizes of [3]
% 2.46/0.91  % Detected maximum model sizes of [max]
% 2.46/0.91  % (3078609)Cannot represent all propositional literals internally
% 2.46/0.91  % (3078609)Refutation not found, incomplete strategy
% 2.46/0.91  % (3078609)------------------------------
% 2.46/0.91  % (3078609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.91  % (3078609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.91  % (3078609)CaDiCaL version: 2.1.3
% 2.46/0.91  % (3078609)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.91  % (3078609)Time elapsed: 0.028 s
% 2.46/0.91  % (3078609)Peak memory usage: 12 MB
% 2.46/0.91  % (3078609)Instructions burned: 55 (million)
% 2.46/0.91  % (3078609)------------------------------
% 2.46/0.91  % (3078609)------------------------------
% 2.46/0.91  % (3078515) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3078484-3078515"...
% 2.46/0.91  % (3078506)Instruction limit reached! 
% 2.46/0.91  % (3078506)------------------------------
% 2.46/0.91  % (3078506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.91  % (3078506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.91  % (3078506)CaDiCaL version: 2.1.3
% 2.46/0.91  % (3078506)Termination reason: Instruction limit
% 2.46/0.91  % (3078506)Termination phase: Saturation
% 2.46/0.91  % (3078506)Time elapsed: 0.368 s
% 2.46/0.91  % (3078506)Peak memory usage: 21 MB
% 2.46/0.91  % (3078506)Instructions burned: 685 (million)
% 2.46/0.91  % (3078515)...printing done.
% 2.46/0.91  % (3078515)Refutation found. Thanks to Tanya!
% 2.46/0.91  % SZS status Theorem for theBenchmark
% 2.46/0.91  % SZS output start Proof for theBenchmark
% See solution above
% 2.46/0.92  % (3078515)------------------------------
% 2.46/0.92  % (3078515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.92  % (3078515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.92  % (3078515)CaDiCaL version: 2.1.3
% 2.46/0.92  % (3078515)Termination reason: Refutation
% 2.46/0.92  % (3078515)Time elapsed: 0.336 s
% 2.46/0.92  % (3078515)Peak memory usage: 20 MB
% 2.46/0.92  % (3078515)Instructions burned: 1163 (million)
% 2.46/0.92  % (3078484)Success in time 0.496 s
% 2.46/0.92  % Vampire exiting
%------------------------------------------------------------------------------