↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO280+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 : n014.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 09:54:20 AM UTC 2026

% Result   : Theorem 45.64s 7.06s
% Output   : Refutation 45.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   94 (  33 unt;   2 def)
%            Number of atoms       :  292 (  80 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  367 ( 169   ~; 156   |;  33   &)
%                                         (   5 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   3 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-2 aty)
%            Number of variables   :  116 (   0 sgn 108   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ rinside(vd1125,vd1139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(247))') ).

fof(f2,negated_conjecture,
    ~ ~ rinside(vd1125,vd1139),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,axiom,
    ( ron(vd1136,vd1139)
    & rcenter(vd1123,vd1139)
    & rcircle(vd1139)
    & ron(vd1125,vd1138)
    & ron(vd1123,vd1138) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))') ).

fof(f5,axiom,
    vf(vd1127,vd1129) = vf(vd1123,vd1136),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(245, 1137, 0)') ).

fof(f6,axiom,
    rpoint(vd1136),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(245, 0)') ).

fof(f7,axiom,
    ( rless(vf(vd1127,vd1129),vf(vd1123,vd1125))
    & vd1127 != vd1129
    & vd1123 != vd1125
    & vd1129 = vd1130
    & rpoint(vd1130)
    & vd1127 = vd1128
    & rpoint(vd1128)
    & vd1125 = vd1126
    & rpoint(vd1126)
    & vd1123 = vd1124
    & rpoint(vd1124) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))') ).

fof(f25,axiom,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( X1 = X2
            & rpoint(X2) )
        & ? [X3] :
            ( X0 = X3
            & rpoint(X3) ) )
     => ? [X4] :
          ( vf(X0,X1) = X4
          & rreal(X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).

fof(f30,axiom,
    ! [X0,X1,X2,X3] :
      ( ( ron(X1,X3)
        & rcenter(X2,X3)
        & ? [X4] :
            ( X1 = X4
            & rpoint(X4) )
        & ? [X5] :
            ( X0 = X5
            & rpoint(X5) ) )
     => ( rless(vf(X2,X0),vf(X2,X1))
      <=> rinside(X0,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).

fof(f33,axiom,
    ! [X0,X1] :
      ( ( X0 = X1
        & rreal(X1) )
     => ~ rless(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).

fof(f34,axiom,
    ! [X0,X1,X2,X3] :
      ( ( rless(X0,X2)
        & X2 = X3
        & rreal(X3)
        & X0 = X1
        & rreal(X1) )
     => ( ~ rless(X2,X0)
        | X0 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))') ).

fof(f117,plain,
    rinside(vd1125,vd1139),
    inference(flattening,[],[f2]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( vf(X0,X1) = X4
          & rreal(X4) )
      | ! [X2] :
          ( X1 != X2
          | ~ rpoint(X2) )
      | ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) ) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( vf(X0,X1) = X4
          & rreal(X4) )
      | ! [X2] :
          ( X1 != X2
          | ~ rpoint(X2) )
      | ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) ) ),
    inference(flattening,[],[f151]) ).

fof(f161,plain,
    ! [X0,X1,X2,X3] :
      ( ( rless(vf(X2,X0),vf(X2,X1))
      <=> rinside(X0,X3) )
      | ~ ron(X1,X3)
      | ~ rcenter(X2,X3)
      | ! [X4] :
          ( X1 != X4
          | ~ rpoint(X4) )
      | ! [X5] :
          ( X0 != X5
          | ~ rpoint(X5) ) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f162,plain,
    ! [X0,X1,X2,X3] :
      ( ( rless(vf(X2,X0),vf(X2,X1))
      <=> rinside(X0,X3) )
      | ~ ron(X1,X3)
      | ~ rcenter(X2,X3)
      | ! [X4] :
          ( X1 != X4
          | ~ rpoint(X4) )
      | ! [X5] :
          ( X0 != X5
          | ~ rpoint(X5) ) ),
    inference(flattening,[],[f161]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ~ rless(X0,X0)
      | X0 != X1
      | ~ rreal(X1) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ~ rless(X0,X0)
      | X0 != X1
      | ~ rreal(X1) ),
    inference(flattening,[],[f167]) ).

fof(f169,plain,
    ! [X0,X1,X2,X3] :
      ( ~ rless(X2,X0)
      | X0 = X2
      | ~ rless(X0,X2)
      | X2 != X3
      | ~ rreal(X3)
      | X0 != X1
      | ~ rreal(X1) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f170,plain,
    ! [X0,X1,X2,X3] :
      ( ~ rless(X2,X0)
      | X0 = X2
      | ~ rless(X0,X2)
      | X2 != X3
      | ~ rreal(X3)
      | X0 != X1
      | ~ rreal(X1) ),
    inference(flattening,[],[f169]) ).

fof(f335,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( vf(X0,X1) = X2
          & rreal(X2) )
      | ! [X3] :
          ( X1 != X3
          | ~ rpoint(X3) )
      | ! [X4] :
          ( X0 != X4
          | ~ rpoint(X4) ) ),
    inference(rectify,[],[f152]) ).

fof(f336,plain,
    ! [X0,X1] :
      ( ( vf(X0,X1) = sK6(X0,X1)
        & rreal(sK6(X0,X1)) )
      | ! [X3] :
          ( X1 != X3
          | ~ rpoint(X3) )
      | ! [X4] :
          ( X0 != X4
          | ~ rpoint(X4) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f335]) ).

fof(f342,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( rless(vf(X2,X0),vf(X2,X1))
          | ~ rinside(X0,X3) )
        & ( rinside(X0,X3)
          | ~ rless(vf(X2,X0),vf(X2,X1)) ) )
      | ~ ron(X1,X3)
      | ~ rcenter(X2,X3)
      | ! [X4] :
          ( X1 != X4
          | ~ rpoint(X4) )
      | ! [X5] :
          ( X0 != X5
          | ~ rpoint(X5) ) ),
    inference(nnf_transformation,[],[f162]) ).

fof(f394,plain,
    rinside(vd1125,vd1139),
    inference(cnf_transformation,[],[f117]) ).

fof(f398,plain,
    rcenter(vd1123,vd1139),
    inference(cnf_transformation,[],[f3]) ).

fof(f399,plain,
    ron(vd1136,vd1139),
    inference(cnf_transformation,[],[f3]) ).

fof(f401,plain,
    vf(vd1127,vd1129) = vf(vd1123,vd1136),
    inference(cnf_transformation,[],[f5]) ).

fof(f402,plain,
    rpoint(vd1136),
    inference(cnf_transformation,[],[f6]) ).

fof(f403,plain,
    rpoint(vd1124),
    inference(cnf_transformation,[],[f7]) ).

fof(f404,plain,
    vd1123 = vd1124,
    inference(cnf_transformation,[],[f7]) ).

fof(f405,plain,
    rpoint(vd1126),
    inference(cnf_transformation,[],[f7]) ).

fof(f406,plain,
    vd1125 = vd1126,
    inference(cnf_transformation,[],[f7]) ).

fof(f407,plain,
    rpoint(vd1128),
    inference(cnf_transformation,[],[f7]) ).

fof(f408,plain,
    vd1127 = vd1128,
    inference(cnf_transformation,[],[f7]) ).

fof(f409,plain,
    rpoint(vd1130),
    inference(cnf_transformation,[],[f7]) ).

fof(f410,plain,
    vd1129 = vd1130,
    inference(cnf_transformation,[],[f7]) ).

fof(f413,plain,
    rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
    inference(cnf_transformation,[],[f7]) ).

fof(f446,plain,
    ! [X3,X0,X1,X4] :
      ( rreal(sK6(X0,X1))
      | X1 != X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(cnf_transformation,[],[f336]) ).

fof(f447,plain,
    ! [X3,X0,X1,X4] :
      ( vf(X0,X1) = sK6(X0,X1)
      | X1 != X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(cnf_transformation,[],[f336]) ).

fof(f470,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( rless(vf(X2,X0),vf(X2,X1))
      | ~ rinside(X0,X3)
      | ~ ron(X1,X3)
      | ~ rcenter(X2,X3)
      | X1 != X4
      | ~ rpoint(X4)
      | X0 != X5
      | ~ rpoint(X5) ),
    inference(cnf_transformation,[],[f342]) ).

fof(f473,plain,
    ! [X0,X1] :
      ( ~ rless(X0,X0)
      | X0 != X1
      | ~ rreal(X1) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f474,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rless(X2,X0)
      | X0 = X2
      | ~ rless(X0,X2)
      | X2 != X3
      | ~ rreal(X3)
      | X0 != X1
      | ~ rreal(X1) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f646,plain,
    rinside(vd1126,vd1139),
    inference(definition_unfolding,[],[f394,f406]) ).

fof(f647,plain,
    rcenter(vd1124,vd1139),
    inference(definition_unfolding,[],[f398,f404]) ).

fof(f650,plain,
    vf(vd1128,vd1130) = vf(vd1124,vd1136),
    inference(definition_unfolding,[],[f401,f408,f410,f404]) ).

fof(f651,plain,
    rless(vf(vd1128,vd1130),vf(vd1124,vd1126)),
    inference(definition_unfolding,[],[f413,f408,f410,f404,f406]) ).

fof(f752,plain,
    ! [X3,X0,X4] :
      ( vf(X0,X3) = sK6(X0,X3)
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f447]) ).

fof(f753,plain,
    ! [X3,X4] :
      ( ~ rpoint(X4)
      | ~ rpoint(X3)
      | vf(X4,X3) = sK6(X4,X3) ),
    inference(equality_resolution,[],[f752]) ).

fof(f754,plain,
    ! [X3,X0,X4] :
      ( rreal(sK6(X0,X3))
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f446]) ).

fof(f755,plain,
    ! [X3,X4] :
      ( rreal(sK6(X4,X3))
      | ~ rpoint(X3)
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f754]) ).

fof(f799,plain,
    ! [X2,X3,X0,X4,X5] :
      ( rless(vf(X2,X0),vf(X2,X4))
      | ~ rinside(X0,X3)
      | ~ ron(X4,X3)
      | ~ rcenter(X2,X3)
      | ~ rpoint(X4)
      | X0 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f470]) ).

fof(f800,plain,
    ! [X2,X3,X4,X5] :
      ( rless(vf(X2,X5),vf(X2,X4))
      | ~ rinside(X5,X3)
      | ~ ron(X4,X3)
      | ~ rcenter(X2,X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f799]) ).

fof(f809,plain,
    ! [X1] :
      ( ~ rless(X1,X1)
      | ~ rreal(X1) ),
    inference(equality_resolution,[],[f473]) ).

fof(f810,plain,
    ! [X3,X0,X1] :
      ( ~ rless(X3,X0)
      | X0 = X3
      | ~ rless(X0,X3)
      | ~ rreal(X3)
      | X0 != X1
      | ~ rreal(X1) ),
    inference(equality_resolution,[],[f474]) ).

fof(f811,plain,
    ! [X3,X1] :
      ( ~ rless(X3,X1)
      | ~ rless(X1,X3)
      | X1 = X3
      | ~ rreal(X3)
      | ~ rreal(X1) ),
    inference(equality_resolution,[],[f810]) ).

fof(f1611,plain,
    ! [X0] :
      ( ~ rpoint(X0)
      | vf(vd1128,X0) = sK6(vd1128,X0) ),
    inference(resolution,[],[f753,f407]) ).

fof(f1613,plain,
    ! [X0] :
      ( ~ rpoint(X0)
      | vf(vd1124,X0) = sK6(vd1124,X0) ),
    inference(resolution,[],[f753,f403]) ).

fof(f2594,plain,
    vf(vd1128,vd1130) = sK6(vd1128,vd1130),
    inference(resolution,[],[f1611,f409]) ).

fof(f2619,plain,
    vf(vd1124,vd1136) = sK6(vd1128,vd1130),
    inference(forward_demodulation,[],[f2594,f650]) ).

fof(f2659,plain,
    ( rreal(vf(vd1124,vd1136))
    | ~ rpoint(vd1130)
    | ~ rpoint(vd1128) ),
    inference(superposition,[],[f755,f2619]) ).

fof(f2660,plain,
    ( rreal(vf(vd1124,vd1136))
    | ~ rpoint(vd1128) ),
    inference(forward_subsumption_resolution,[],[f2659,f409]) ).

fof(f2661,plain,
    rreal(vf(vd1124,vd1136)),
    inference(forward_subsumption_resolution,[],[f2660,f407]) ).

fof(f2742,plain,
    vf(vd1124,vd1126) = sK6(vd1124,vd1126),
    inference(resolution,[],[f1613,f405]) ).

fof(f2791,plain,
    ( rreal(vf(vd1124,vd1126))
    | ~ rpoint(vd1126)
    | ~ rpoint(vd1124) ),
    inference(superposition,[],[f755,f2742]) ).

fof(f2792,plain,
    ( rreal(vf(vd1124,vd1126))
    | ~ rpoint(vd1124) ),
    inference(forward_subsumption_resolution,[],[f2791,f405]) ).

fof(f2793,plain,
    rreal(vf(vd1124,vd1126)),
    inference(forward_subsumption_resolution,[],[f2792,f403]) ).

fof(f3996,plain,
    ( ~ rless(vf(vd1124,vd1126),vf(vd1128,vd1130))
    | vf(vd1128,vd1130) = vf(vd1124,vd1126)
    | ~ rreal(vf(vd1128,vd1130))
    | ~ rreal(vf(vd1124,vd1126)) ),
    inference(resolution,[],[f811,f651]) ).

fof(f4005,plain,
    ( ~ rless(vf(vd1124,vd1126),vf(vd1128,vd1130))
    | vf(vd1128,vd1130) = vf(vd1124,vd1126)
    | ~ rreal(vf(vd1128,vd1130)) ),
    inference(forward_subsumption_resolution,[],[f3996,f2793]) ).

fof(f4009,plain,
    ( ~ rless(vf(vd1124,vd1126),vf(vd1124,vd1136))
    | vf(vd1128,vd1130) = vf(vd1124,vd1126)
    | ~ rreal(vf(vd1128,vd1130)) ),
    inference(forward_demodulation,[],[f4005,f650]) ).

fof(f4011,definition,
    ( spl46_16
  <=> vf(vd1124,vd1136) = vf(vd1124,vd1126) ),
    introduced(definition,[new_symbols(definition,[spl46_16])],[avatar_definition]) ).

fof(f4013,plain,
    ( vf(vd1124,vd1136) = vf(vd1124,vd1126)
    | ~ spl46_16 ),
    inference(avatar_component_clause,[],[f4011]) ).

fof(f4015,definition,
    ( spl46_17
  <=> rless(vf(vd1124,vd1126),vf(vd1124,vd1136)) ),
    introduced(definition,[new_symbols(definition,[spl46_17])],[avatar_definition]) ).

fof(f4016,plain,
    ( rless(vf(vd1124,vd1126),vf(vd1124,vd1136))
    | ~ spl46_17 ),
    inference(avatar_component_clause,[],[f4015]) ).

fof(f4017,plain,
    ( ~ rless(vf(vd1124,vd1126),vf(vd1124,vd1136))
    | spl46_17 ),
    inference(avatar_component_clause,[],[f4015]) ).

fof(f4021,plain,
    ( vf(vd1124,vd1136) = vf(vd1124,vd1126)
    | ~ rless(vf(vd1124,vd1126),vf(vd1124,vd1136))
    | ~ rreal(vf(vd1128,vd1130)) ),
    inference(forward_demodulation,[],[f4009,f650]) ).

fof(f4023,plain,
    ( ~ rreal(vf(vd1124,vd1136))
    | vf(vd1124,vd1136) = vf(vd1124,vd1126)
    | ~ rless(vf(vd1124,vd1126),vf(vd1124,vd1136)) ),
    inference(forward_demodulation,[],[f4021,f650]) ).

fof(f4025,plain,
    ( vf(vd1124,vd1136) = vf(vd1124,vd1126)
    | ~ rless(vf(vd1124,vd1126),vf(vd1124,vd1136)) ),
    inference(forward_subsumption_resolution,[],[f4023,f2661]) ).

fof(f4027,plain,
    ( ~ spl46_17
    | spl46_16 ),
    inference(avatar_split_clause,[],[f4025,f4011,f4015]) ).

fof(f7839,plain,
    ( ! [X0] :
        ( ~ rinside(vd1126,X0)
        | ~ ron(vd1136,X0)
        | ~ rcenter(vd1124,X0)
        | ~ rpoint(vd1136)
        | ~ rpoint(vd1126) )
    | spl46_17 ),
    inference(resolution,[],[f800,f4017]) ).

fof(f8040,plain,
    ( ! [X0] :
        ( ~ rinside(vd1126,X0)
        | ~ ron(vd1136,X0)
        | ~ rcenter(vd1124,X0)
        | ~ rpoint(vd1126) )
    | spl46_17 ),
    inference(forward_subsumption_resolution,[],[f7839,f402]) ).

fof(f8087,plain,
    ( ! [X0] :
        ( ~ rcenter(vd1124,X0)
        | ~ ron(vd1136,X0)
        | ~ rinside(vd1126,X0) )
    | spl46_17 ),
    inference(forward_subsumption_resolution,[],[f8040,f405]) ).

fof(f13101,plain,
    ( ~ ron(vd1136,vd1139)
    | ~ rinside(vd1126,vd1139)
    | spl46_17 ),
    inference(resolution,[],[f8087,f647]) ).

fof(f13104,plain,
    ( ~ rinside(vd1126,vd1139)
    | spl46_17 ),
    inference(forward_subsumption_resolution,[],[f13101,f399]) ).

fof(f13105,plain,
    ( $false
    | spl46_17 ),
    inference(forward_subsumption_resolution,[],[f13104,f646]) ).

fof(f13106,plain,
    spl46_17,
    inference(avatar_contradiction_clause,[],[f13105]) ).

fof(f13107,plain,
    ( rless(vf(vd1124,vd1126),vf(vd1124,vd1126))
    | ~ spl46_16
    | ~ spl46_17 ),
    inference(forward_demodulation,[],[f4016,f4013]) ).

fof(f13129,plain,
    ( ~ rreal(vf(vd1124,vd1126))
    | ~ spl46_16
    | ~ spl46_17 ),
    inference(resolution,[],[f13107,f809]) ).

fof(f13130,plain,
    ( $false
    | ~ spl46_16
    | ~ spl46_17 ),
    inference(forward_subsumption_resolution,[],[f13129,f2793]) ).

fof(f13131,plain,
    ( ~ spl46_16
    | ~ spl46_17 ),
    inference(avatar_contradiction_clause,[],[f13130]) ).

cnf(s21,plain,
    ( spl46_16
    | ~ spl46_17 ),
    inference(sat_conversion,[],[f4027]) ).

cnf(s52,plain,
    spl46_17,
    inference(sat_conversion,[],[f13106]) ).

cnf(s53,plain,
    ( ~ spl46_16
    | ~ spl46_17 ),
    inference(sat_conversion,[],[f13131]) ).

cnf(s54,plain,
    ~ spl46_16,
    inference(rat,[],[s53,s52]) ).

cnf(s75,plain,
    $false,
    inference(rat,[],[s21,s52,s54]) ).

fof(f13132,plain,
    $false,
    inference(avatar_sat_refutation,[],[s75]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO280+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42  % Computer : n014.cluster.edu
% 0.11/0.42  % Model    : x86_64 x86_64
% 0.11/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.42  % Memory   : 8046.5625MB
% 0.11/0.42  % OS       : Linux 6.8.0-71-generic
% 0.11/0.42  % CPULimit : 300
% 0.11/0.42  % WCLimit  : 300
% 0.11/0.42  % DateTime : Sun Sep 27 07:59:03 UTC 2026
% 0.11/0.42  % CPUTime  : 
% 0.11/0.42  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.45  Running first-order model finding
% 0.11/0.45  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
% 2.06/1.00  % (483897)Will run a generic schedule for satisfiability detection.
% 2.06/1.00  % (483903)% WARNING: option uhcvi not known.
% 2.06/1.00  % (483903)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1300248802:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.06/1.00  % (483904)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2969225115:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.06/1.00  % (483902)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=103917700_2999 on theBenchmark for (2999ds/0Mi)
% 2.06/1.00  % (483906)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1435790640:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.06/1.00  % (483905)dis+10_1_sil=32000:sp=arity:random_seed=4011421386:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.06/1.00  % (483907)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2825287763:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.06/1.00  % (483908)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=341513645:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.06/1.00  % Detected minimum model sizes of [3]
% 2.06/1.00  % Detected maximum model sizes of [max]
% 2.06/1.00  % (483902)Cannot represent all propositional literals internally
% 2.06/1.00  % (483902)Refutation not found, incomplete strategy
% 2.06/1.00  % (483902)------------------------------
% 2.06/1.00  % (483902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/1.00  % (483902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/1.00  % (483902)CaDiCaL version: 2.1.3
% 2.06/1.00  % (483902)Termination reason: Refutation not found, incomplete strategy
% 2.06/1.00  % (483902)Time elapsed: 0.034 s
% 2.06/1.00  % (483902)Peak memory usage: 12 MB
% 2.06/1.00  % (483902)Instructions burned: 69 (million)
% 2.06/1.00  % (483902)------------------------------
% 2.06/1.00  % (483902)------------------------------
% 2.06/1.00  % (483916)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4037727484:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.06/1.00  % (483905)Instruction limit reached! 
% 2.06/1.00  % (483905)------------------------------
% 2.06/1.00  % (483905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/1.00  % (483905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/1.00  % (483905)CaDiCaL version: 2.1.3
% 2.06/1.00  % (483905)Termination reason: Instruction limit
% 2.06/1.00  % (483905)Termination phase: Saturation
% 2.06/1.00  % (483905)Time elapsed: 0.058 s
% 2.06/1.00  % (483905)Peak memory usage: 13 MB
% 2.06/1.00  % (483905)Instructions burned: 105 (million)
% 2.06/1.00  % (483906)Instruction limit reached! 
% 2.06/1.00  % (483906)------------------------------
% 2.06/1.00  % (483906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/1.00  % (483906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/1.00  % (483906)CaDiCaL version: 2.1.3
% 2.06/1.00  % (483906)Termination reason: Instruction limit
% 2.06/1.00  % (483906)Termination phase: Saturation
% 2.06/1.00  % (483906)Time elapsed: 0.059 s
% 2.06/1.00  % (483906)Peak memory usage: 13 MB
% 2.06/1.00  % (483906)Instructions burned: 117 (million)
% 2.06/1.00  % (483907)Instruction limit reached! 
% 2.06/1.00  % (483907)------------------------------
% 2.06/1.00  % (483907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/1.00  % (483907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/1.00  % (483907)CaDiCaL version: 2.1.3
% 2.06/1.00  % (483907)Termination reason: Instruction limit
% 2.06/1.00  % (483907)Termination phase: Saturation
% 2.06/1.00  % (483907)Time elapsed: 0.064 s
% 2.06/1.00  % (483907)Peak memory usage: 13 MB
% 2.06/1.00  % (483907)Instructions burned: 136 (million)
% 2.06/1.00  % (483918)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2093872500:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.06/1.00  % (483919)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=2533973693:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.06/1.00  % Detected minimum model sizes of [3]
% 2.06/1.00  % Detected maximum model sizes of [max]
% 2.06/1.00  % (483916)Cannot represent all propositional literals internally
% 2.06/1.00  % (483916)Refutation not found, incomplete strategy
% 2.06/1.00  % (483916)------------------------------
% 2.06/1.00  % (483916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.32  % (483916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.32  % (483916)CaDiCaL version: 2.1.3
% 5.29/1.32  % (483916)Termination reason: Refutation not found, incomplete strategy
% 5.29/1.32  % (483916)Time elapsed: 0.026 s
% 5.29/1.32  % (483916)Peak memory usage: 12 MB
% 5.29/1.32  % (483916)Instructions burned: 53 (million)
% 5.29/1.32  % (483916)------------------------------
% 5.29/1.32  % (483916)------------------------------
% 5.29/1.32  % (483920)ott-21_1_sil=16000:fs=off:random_seed=3996410764:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.29/1.32  % (483908)Instruction limit reached! 
% 5.29/1.32  % (483908)------------------------------
% 5.29/1.32  % (483908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.32  % (483908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.32  % (483908)CaDiCaL version: 2.1.3
% 5.29/1.32  % (483908)Termination reason: Instruction limit
% 5.29/1.32  % (483908)Termination phase: Saturation
% 5.29/1.32  % (483908)Time elapsed: 0.090 s
% 5.29/1.32  % (483908)Peak memory usage: 15 MB
% 5.29/1.32  % (483908)Instructions burned: 159 (million)
% 5.29/1.32  % (483923)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=735137497:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.29/1.32  % (483925)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1775044000:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 5.29/1.32  % (483918)Instruction limit reached! 
% 5.29/1.32  % (483918)------------------------------
% 5.29/1.32  % (483918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.32  % (483918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.32  % (483918)CaDiCaL version: 2.1.3
% 5.29/1.32  % (483918)Termination reason: Instruction limit
% 5.29/1.32  % (483918)Termination phase: Saturation
% 5.29/1.32  % (483918)Time elapsed: 0.055 s
% 5.29/1.32  % (483918)Peak memory usage: 13 MB
% 5.29/1.32  % (483918)Instructions burned: 132 (million)
% 5.29/1.32  % Detected minimum model sizes of [3]
% 5.29/1.32  % Detected maximum model sizes of [max]
% 5.29/1.32  % (483925)Cannot represent all propositional literals internally
% 5.29/1.32  % (483925)Refutation not found, incomplete strategy
% 5.29/1.32  % (483925)------------------------------
% 5.29/1.32  % (483925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.32  % (483925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.32  % (483925)CaDiCaL version: 2.1.3
% 5.29/1.32  % (483925)Termination reason: Refutation not found, incomplete strategy
% 5.29/1.32  % (483925)Time elapsed: 0.026 s
% 5.29/1.32  % (483925)Peak memory usage: 11 MB
% 5.29/1.32  % (483925)Instructions burned: 54 (million)
% 5.29/1.32  % (483925)------------------------------
% 5.29/1.32  % (483925)------------------------------
% 5.29/1.32  % (483928)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2207016356:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 5.29/1.32  % (483929)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3710588557:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 5.29/1.32  % (483920)Instruction limit reached! 
% 5.29/1.32  % (483920)------------------------------
% 5.29/1.32  % (483920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.32  % (483920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.32  % (483920)CaDiCaL version: 2.1.3
% 5.29/1.32  % (483920)Termination reason: Instruction limit
% 5.29/1.32  % (483920)Termination phase: Saturation
% 5.29/1.32  % (483920)Time elapsed: 0.094 s
% 5.29/1.32  % (483920)Peak memory usage: 14 MB
% 5.29/1.32  % (483920)Instructions burned: 180 (million)
% 5.29/1.32  % (483929)Cannot represent all propositional literals internally
% 5.29/1.32  % (483929)Refutation not found, incomplete strategy
% 5.29/1.32  % (483929)------------------------------
% 5.29/1.32  % (483929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.29/1.32  % (483929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.32  % (483929)CaDiCaL version: 2.1.3
% 5.29/1.32  % (483929)Termination reason: Refutation not found, incomplete strategy
% 5.29/1.32  % (483929)Time elapsed: 0.026 s
% 5.29/1.32  % (483929)Peak memory usage: 12 MB
% 5.29/1.32  % (483929)Instructions burned: 54 (million)
% 5.29/1.32  % (483929)------------------------------
% 5.29/1.32  % (483929)------------------------------
% 5.29/1.32  % (483932)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=3830204450: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)
% 18.98/3.14  % (483933)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=415467218:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 18.98/3.14  % (483923)Instruction limit reached! 
% 18.98/3.14  % (483923)------------------------------
% 18.98/3.14  % (483923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.98/3.14  % (483923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.14  % (483923)CaDiCaL version: 2.1.3
% 18.98/3.14  % (483923)Termination reason: Instruction limit
% 18.98/3.14  % (483923)Termination phase: Saturation
% 18.98/3.14  % (483923)Time elapsed: 0.294 s
% 18.98/3.14  % (483923)Peak memory usage: 15 MB
% 18.98/3.14  % (483923)Instructions burned: 477 (million)
% 18.98/3.14  % (483936)fmb+10_1_sil=64000:random_seed=1048858350:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 18.98/3.14  % Detected minimum model sizes of [3]
% 18.98/3.14  % Detected maximum model sizes of [max]
% 18.98/3.14  % (483936)Cannot represent all propositional literals internally
% 18.98/3.14  % (483936)Refutation not found, incomplete strategy
% 18.98/3.14  % (483936)------------------------------
% 18.98/3.14  % (483936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.98/3.14  % (483936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.14  % (483936)CaDiCaL version: 2.1.3
% 18.98/3.14  % (483936)Termination reason: Refutation not found, incomplete strategy
% 18.98/3.14  % (483936)Time elapsed: 0.025 s
% 18.98/3.14  % (483936)Peak memory usage: 12 MB
% 18.98/3.14  % (483936)Instructions burned: 51 (million)
% 18.98/3.14  % (483936)------------------------------
% 18.98/3.14  % (483936)------------------------------
% 18.98/3.14  % (483919)Instruction limit reached! 
% 18.98/3.14  % (483919)------------------------------
% 18.98/3.14  % (483919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.98/3.14  % (483919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.14  % (483919)CaDiCaL version: 2.1.3
% 18.98/3.14  % (483919)Termination reason: Instruction limit
% 18.98/3.14  % (483919)Termination phase: Saturation
% 18.98/3.14  % (483919)Time elapsed: 0.377 s
% 18.98/3.14  % (483919)Peak memory usage: 21 MB
% 18.98/3.14  % (483919)Instructions burned: 684 (million)
% 18.98/3.14  % (483938)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2966762849:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 18.98/3.14  % (483939)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3675732417:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 18.98/3.14  % Detected minimum model sizes of [3]
% 18.98/3.14  % Detected maximum model sizes of [max]
% 18.98/3.14  % (483938)Cannot represent all propositional literals internally
% 18.98/3.14  % (483938)Refutation not found, incomplete strategy
% 18.98/3.14  % (483938)------------------------------
% 18.98/3.14  % (483938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.98/3.14  % (483938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.14  % (483938)CaDiCaL version: 2.1.3
% 18.98/3.14  % (483938)Termination reason: Refutation not found, incomplete strategy
% 18.98/3.14  % (483938)Time elapsed: 0.026 s
% 18.98/3.14  % (483938)Peak memory usage: 12 MB
% 18.98/3.14  % (483938)Instructions burned: 54 (million)
% 18.98/3.14  % (483938)------------------------------
% 18.98/3.14  % (483938)------------------------------
% 18.98/3.14  % Detected minimum model sizes of [3]
% 18.98/3.14  % Detected maximum model sizes of [max]
% 18.98/3.14  % (483939)Cannot represent all propositional literals internally
% 18.98/3.14  % (483939)Refutation not found, incomplete strategy
% 18.98/3.14  % (483939)------------------------------
% 18.98/3.14  % (483939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.98/3.14  % (483939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.14  % (483939)CaDiCaL version: 2.1.3
% 18.98/3.14  % (483939)Termination reason: Refutation not found, incomplete strategy
% 18.98/3.14  % (483939)Time elapsed: 0.026 s
% 18.98/3.14  % (483939)Peak memory usage: 12 MB
% 18.98/3.14  % (483939)Instructions burned: 54 (million)
% 18.98/3.14  % (483939)------------------------------
% 18.98/3.14  % (483939)------------------------------
% 18.98/3.14  % (483942)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2695296260:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 22.97/3.98  % (483932)Instruction limit reached! 
% 22.97/3.98  % (483932)------------------------------
% 22.97/3.98  % (483932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.97/3.98  % (483932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/3.98  % (483932)CaDiCaL version: 2.1.3
% 22.97/3.98  % (483932)Termination reason: Instruction limit
% 22.97/3.98  % (483932)Termination phase: Saturation
% 22.97/3.98  % (483932)Time elapsed: 0.320 s
% 22.97/3.98  % (483932)Peak memory usage: 16 MB
% 22.97/3.98  % (483932)Instructions burned: 692 (million)
% 22.97/3.98  % (483943)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=984399444:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 22.97/3.98  % (483945)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=232776370:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 22.97/3.98  % Detected minimum model sizes of [3]
% 22.97/3.98  % Detected maximum model sizes of [max]
% 22.97/3.98  % (483945)Cannot represent all propositional literals internally
% 22.97/3.98  % (483945)Refutation not found, incomplete strategy
% 22.97/3.98  % (483945)------------------------------
% 22.97/3.98  % (483945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.97/3.98  % (483945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/3.98  % (483945)CaDiCaL version: 2.1.3
% 22.97/3.98  % (483945)Termination reason: Refutation not found, incomplete strategy
% 22.97/3.98  % (483945)Time elapsed: 0.034 s
% 22.97/3.98  % (483945)Peak memory usage: 12 MB
% 22.97/3.98  % (483945)Instructions burned: 69 (million)
% 22.97/3.98  % (483945)------------------------------
% 22.97/3.98  % (483945)------------------------------
% 22.97/3.98  % (483948)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3070923194:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 22.97/3.98  % Detected minimum model sizes of [3]
% 22.97/3.98  % Detected maximum model sizes of [max]
% 22.97/3.98  % (483948)Cannot represent all propositional literals internally
% 22.97/3.98  % (483948)Refutation not found, incomplete strategy
% 22.97/3.98  % (483948)------------------------------
% 22.97/3.98  % (483948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.97/3.98  % (483948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/3.98  % (483948)CaDiCaL version: 2.1.3
% 22.97/3.98  % (483948)Termination reason: Refutation not found, incomplete strategy
% 22.97/3.98  % (483948)Time elapsed: 0.026 s
% 22.97/3.98  % (483948)Peak memory usage: 12 MB
% 22.97/3.98  % (483948)Instructions burned: 56 (million)
% 22.97/3.98  % (483948)------------------------------
% 22.97/3.98  % (483948)------------------------------
% 22.97/3.98  % (483950)ott-2_1_sil=16000:newcnf=on:random_seed=1951138227:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 22.97/3.98  % (483933)Instruction limit reached! 
% 22.97/3.98  % (483933)------------------------------
% 22.97/3.98  % (483933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.97/3.98  % (483933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/3.98  % (483933)CaDiCaL version: 2.1.3
% 22.97/3.98  % (483933)Termination reason: Instruction limit
% 22.97/3.98  % (483933)Termination phase: Saturation
% 22.97/3.98  % (483933)Time elapsed: 0.458 s
% 22.97/3.98  % (483933)Peak memory usage: 20 MB
% 22.97/3.98  % (483933)Instructions burned: 880 (million)
% 22.97/3.98  % (483952)ott+10_1_sil=32000:tgt=ground:random_seed=3437673245:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 22.97/3.98  % (483928)Instruction limit reached! 
% 22.97/3.98  % (483928)------------------------------
% 22.97/3.98  % (483928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.97/3.98  % (483928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.97/3.98  % (483928)CaDiCaL version: 2.1.3
% 22.97/3.98  % (483928)Termination reason: Instruction limit
% 22.97/3.98  % (483928)Termination phase: Saturation
% 22.97/3.98  % (483928)Time elapsed: 0.615 s
% 22.97/3.98  % (483928)Peak memory usage: 26 MB
% 22.97/3.98  % (483928)Instructions burned: 1180 (million)
% 22.97/3.98  % (483954)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2339905896:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 22.97/3.98  % Detected minimum model sizes of [3]
% 22.97/3.98  % Detected maximum model sizes of [max]
% 22.97/3.98  % (483954)Cannot represent all propositional literals internally
% 22.97/3.98  % (483954)Refutation not found, incomplete strategy
% 22.97/3.98  % (483954)------------------------------
% 22.97/3.98  % (483954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.64/7.06  % (483954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.64/7.06  % (483954)CaDiCaL version: 2.1.3
% 45.64/7.06  % (483954)Termination reason: Refutation not found, incomplete strategy
% 45.64/7.06  % (483954)Time elapsed: 0.034 s
% 45.64/7.06  % (483954)Peak memory usage: 12 MB
% 45.64/7.06  % (483954)Instructions burned: 69 (million)
% 45.64/7.06  % (483954)------------------------------
% 45.64/7.06  % (483954)------------------------------
% 45.64/7.06  % (483956)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=543825491:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 45.64/7.06  % (483950)Instruction limit reached! 
% 45.64/7.06  % (483950)------------------------------
% 45.64/7.06  % (483950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.64/7.06  % (483950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.64/7.06  % (483950)CaDiCaL version: 2.1.3
% 45.64/7.06  % (483950)Termination reason: Instruction limit
% 45.64/7.06  % (483950)Termination phase: Saturation
% 45.64/7.06  % (483950)Time elapsed: 0.404 s
% 45.64/7.06  % (483950)Peak memory usage: 15 MB
% 45.64/7.06  % (483950)Instructions burned: 869 (million)
% 45.64/7.06  % (483958)dis+21_1_sil=32000:sas=cadical:random_seed=2285986593:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 45.64/7.06  % (483943)Instruction limit reached! 
% 45.64/7.06  % (483943)------------------------------
% 45.64/7.06  % (483943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.64/7.06  % (483943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.64/7.06  % (483943)CaDiCaL version: 2.1.3
% 45.64/7.06  % (483943)Termination reason: Instruction limit
% 45.64/7.06  % (483943)Termination phase: Saturation
% 45.64/7.06  % (483943)Time elapsed: 0.628 s
% 45.64/7.06  % (483943)Peak memory usage: 16 MB
% 45.64/7.06  % (483943)Instructions burned: 1473 (million)
% 45.64/7.06  % (483960)ott+11_1_sil=16000:gs=on:random_seed=1431731515:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 45.64/7.06  % (483960)Instruction limit reached! 
% 45.64/7.06  % (483960)------------------------------
% 45.64/7.06  % (483960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.64/7.06  % (483960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.64/7.06  % (483960)CaDiCaL version: 2.1.3
% 45.64/7.06  % (483960)Termination reason: Instruction limit
% 45.64/7.06  % (483960)Termination phase: Saturation
% 45.64/7.06  % (483960)Time elapsed: 0.951 s
% 45.64/7.06  % (483960)Peak memory usage: 18 MB
% 45.64/7.06  % (483960)Instructions burned: 2251 (million)
% 45.64/7.06  % (483962)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2132663521:fmbsr=1.6:i=67534_2978 on theBenchmark for (2978ds/67534Mi)
% 45.64/7.06  % Detected minimum model sizes of [3]
% 45.64/7.06  % Detected maximum model sizes of [max]
% 45.64/7.06  % (483962)Cannot represent all propositional literals internally
% 45.64/7.06  % (483962)Refutation not found, incomplete strategy
% 45.64/7.06  % (483962)------------------------------
% 45.64/7.06  % (483962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.64/7.06  % (483962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.64/7.06  % (483962)CaDiCaL version: 2.1.3
% 45.64/7.06  % (483962)Termination reason: Refutation not found, incomplete strategy
% 45.64/7.06  % (483962)Time elapsed: 0.028 s
% 45.64/7.06  % (483962)Peak memory usage: 12 MB
% 45.64/7.06  % (483962)Instructions burned: 59 (million)
% 45.64/7.06  % (483962)------------------------------
% 45.64/7.06  % (483962)------------------------------
% 45.64/7.06  % (483964)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3706134620:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2977 on theBenchmark for (2977ds/4591Mi)
% 45.64/7.06  % (483956)Instruction limit reached! 
% 45.64/7.06  % (483956)------------------------------
% 45.64/7.06  % (483956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.64/7.06  % (483956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.64/7.06  % (483956)CaDiCaL version: 2.1.3
% 45.64/7.06  % (483956)Termination reason: Instruction limit
% 45.64/7.06  % (483956)Termination phase: Saturation
% 45.64/7.06  % (483956)Time elapsed: 1.785 s
% 45.64/7.06  % (483956)Peak memory usage: 31 MB
% 45.64/7.06  % (483956)Instructions burned: 3513 (million)
% 45.64/7.06  % (483966)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2862569677:i=29340_2973 on theBenchmark for (2973ds/29340Mi)
% 45.64/7.06  % (483942)Instruction limit reached! 
% 45.64/7.06  % (483942)------------------------------
% 45.64/7.06  % (483942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.64/7.06  % (483942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.64/7.06  % (483942)CaDiCaL version: 2.1.3
% 45.64/7.06  % (483942)Termination reason: Instruction limit
% 45.64/7.06  % (483942)Termination phase: Saturation
% 45.64/7.06  % (483942)Time elapsed: 2.468 s
% 45.64/7.06  % (483942)Peak memory usage: 35 MB
% 45.64/7.06  % (483942)Instructions burned: 5133 (million)
% 45.64/7.06  % (483968)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2751164055:i=5211_2969 on theBenchmark for (2969ds/5211Mi)
% 45.64/7.06  % (483958)Instruction limit reached! 
% 45.64/7.06  % (483958)------------------------------
% 45.64/7.06  % (483958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.64/7.06  % (483958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.64/7.06  % (483958)CaDiCaL version: 2.1.3
% 45.64/7.06  % (483958)Termination reason: Instruction limit
% 45.64/7.06  % (483958)Termination phase: Saturation
% 45.64/7.06  % (483958)Time elapsed: 1.968 s
% 45.64/7.06  % (483958)Peak memory usage: 32 MB
% 45.64/7.06  % (483958)Instructions burned: 3774 (million)
% 45.64/7.06  % (483970)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1694530631:i=5497:nm=2_2969 on theBenchmark for (2969ds/5497Mi)
% 45.64/7.06  % Detected minimum model sizes of [3]
% 45.64/7.06  % Detected maximum model sizes of [max]
% 45.64/7.06  % (483970)Cannot represent all propositional literals internally
% 45.64/7.06  % (483970)Refutation not found, incomplete strategy
% 45.64/7.06  % (483970)------------------------------
% 45.64/7.06  % (483970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.64/7.06  % (483970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.64/7.06  % (483970)CaDiCaL version: 2.1.3
% 45.64/7.06  % (483970)Termination reason: Refutation not found, incomplete strategy
% 45.64/7.06  % (483970)Time elapsed: 0.029 s
% 45.64/7.06  % (483970)Peak memory usage: 12 MB
% 45.64/7.06  % (483970)Instructions burned: 58 (million)
% 45.64/7.06  % (483970)------------------------------
% 45.64/7.06  % (483970)------------------------------
% 45.64/7.06  % (483972)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1623110025:fmbsr=2:i=46332_2968 on theBenchmark for (2968ds/46332Mi)
% 45.64/7.06  % Detected minimum model sizes of [3]
% 45.64/7.06  % Detected maximum model sizes of [max]
% 45.64/7.06  % (483972)Cannot represent all propositional literals internally
% 45.64/7.06  % (483972)Refutation not found, incomplete strategy
% 45.64/7.06  % (483972)------------------------------
% 45.64/7.06  % (483972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.64/7.06  % (483972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.64/7.06  % (483972)CaDiCaL version: 2.1.3
% 45.64/7.06  % (483972)Termination reason: Refutation not found, incomplete strategy
% 45.64/7.06  % (483972)Time elapsed: 0.029 s
% 45.64/7.06  % (483972)Peak memory usage: 12 MB
% 45.64/7.06  % (483972)Instructions burned: 59 (million)
% 45.64/7.06  % (483972)------------------------------
% 45.64/7.06  % (483972)------------------------------
% 45.64/7.06  % (483974)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=4058986122:i=14071_2968 on theBenchmark for (2968ds/14071Mi)
% 45.64/7.06  % Detected minimum model sizes of [3]
% 45.64/7.06  % Detected maximum model sizes of [max]
% 45.64/7.06  % (483974)Cannot represent all propositional literals internally
% 45.64/7.06  % (483974)Refutation not found, incomplete strategy
% 45.64/7.06  % (483974)------------------------------
% 45.64/7.06  % (483974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.64/7.06  % (483974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.64/7.06  % (483974)CaDiCaL version: 2.1.3
% 45.64/7.06  % (483974)Termination reason: Refutation not found, incomplete strategy
% 45.64/7.06  % (483974)Time elapsed: 0.026 s
% 45.64/7.06  % (483974)Peak memory usage: 12 MB
% 45.64/7.06  % (483974)Instructions burned: 54 (million)
% 45.64/7.06  % (483974)------------------------------
% 45.64/7.06  % (483974)------------------------------
% 45.64/7.06  % (483976)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1440521015:i=22565:add=on:rawr=on_2967 on theBenchmark for (2967ds/22565Mi)
% 45.64/7.06  % (483952)Instruction limit reached! 
% 45.64/7.06  % (483952)------------------------------
% 45.64/7.06  % (483952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.64/7.06  % (483952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.64/7.06  % (483952)CaDiCaL version: 2.1.3
% 45.64/7.06  % (483952)Termination reason: Instruction limit
% 45.64/7.06  % (483952)Termination phase: Saturation
% 45.64/7.06  % (483952)Time elapsed: 2.808 s
% 45.64/7.06  % (483952)Peak memory usage: 41 MB
% 45.64/7.06  % (483952)Instructions burned: 5114 (million)
% 45.64/7.06  % (483978)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=1012208864:i=8173:av=off_2964 on theBenchmark for (2964ds/8173Mi)
% 45.64/7.06  % (483964)Instruction limit reached! 
% 45.64/7.06  % (483964)------------------------------
% 45.64/7.06  % (483964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.64/7.06  % (483964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.64/7.06  % (483964)CaDiCaL version: 2.1.3
% 45.64/7.06  % (483964)Termination reason: Instruction limit
% 45.64/7.06  % (483964)Termination phase: Saturation
% 45.64/7.06  % (483964)Time elapsed: 2.411 s
% 45.64/7.06  % (483964)Peak memory usage: 27 MB
% 45.64/7.06  % (483964)Instructions burned: 4592 (million)
% 45.64/7.06  % (483980)dis+10_16:1_sil=16000:random_seed=2156196451:i=9155:fsr=off_2953 on theBenchmark for (2953ds/9155Mi)
% 45.64/7.06  % (483968)Instruction limit reached! 
% 45.64/7.06  % (483968)------------------------------
% 45.64/7.06  % (483968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.64/7.06  % (483968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.64/7.06  % (483968)CaDiCaL version: 2.1.3
% 45.64/7.06  % (483968)Termination reason: Instruction limit
% 45.64/7.06  % (483968)Termination phase: Saturation
% 45.64/7.06  % (483968)Time elapsed: 2.540 s
% 45.64/7.06  % (483968)Peak memory usage: 37 MB
% 45.64/7.06  % (483968)Instructions burned: 5212 (million)
% 45.64/7.06  % (483982)ott-3_8_sil=64000:random_seed=2243920012:i=20139:bs=on_2944 on theBenchmark for (2944ds/20139Mi)
% 45.64/7.06  % (483982) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-483897-483982"...
% 45.64/7.06  % (483982)...printing done.
% 45.64/7.06  % (483982)Refutation found. Thanks to Tanya!
% 45.64/7.06  % SZS status Theorem for theBenchmark
% 45.64/7.06  % SZS output start Proof for theBenchmark
% See solution above
% 45.64/7.06  % (483982)------------------------------
% 45.64/7.06  % (483982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.64/7.06  % (483982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.64/7.06  % (483982)CaDiCaL version: 2.1.3
% 45.64/7.06  % (483982)Termination reason: Refutation
% 45.64/7.06  % (483982)Time elapsed: 0.975 s
% 45.64/7.06  % (483982)Peak memory usage: 30 MB
% 45.64/7.06  % (483982)Instructions burned: 1882 (million)
% 45.64/7.06  % (483897)Success in time 6.604 s
% 45.64/7.06  % Vampire exiting
%------------------------------------------------------------------------------