↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO282+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:52:20 AM UTC 2026

% Result   : Theorem 0.78s 0.96s
% Output   : Refutation 2.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  100 (  30 unt;   5 def)
%            Number of atoms       :  326 (  73 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  419 ( 193   ~; 181   |;  33   &)
%                                         (   8 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   6 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :  118 (   0 sgn 110   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ rinside(vd1125,vd1146),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(254))') ).

fof(f2,negated_conjecture,
    ~ ~ rinside(vd1125,vd1146),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,axiom,
    ( ron(vd1129,vd1146)
    & rcenter(vd1123,vd1146)
    & rcircle(vd1146)
    & ron(vd1125,vd1145)
    & ron(vd1123,vd1145) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct2(comma_conjunct2(253)), 0), pred(comma_conjunct1(comma_conjunct2(253)), 0)))), pred(comma_conjunct1(253), 0))') ).

fof(f5,axiom,
    vd1123 = vd1127,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(252, 1144, 0)') ).

fof(f18,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(f21,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(f23,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(f24,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(f25,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(f126,plain,
    rinside(vd1125,vd1146),
    inference(flattening,[],[f2]) ).

fof(f159,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,[],[f21]) ).

fof(f160,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,[],[f159]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( vf(X0,X1) = X4
          & rreal(X4) )
      | ! [X2] :
          ( X1 != X2
          | ~ rpoint(X2) )
      | ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) ) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( vf(X0,X1) = X4
          & rreal(X4) )
      | ! [X2] :
          ( X1 != X2
          | ~ rpoint(X2) )
      | ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) ) ),
    inference(flattening,[],[f163]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( ~ rless(X0,X0)
      | X0 != X1
      | ~ rreal(X1) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ~ rless(X0,X0)
      | X0 != X1
      | ~ rreal(X1) ),
    inference(flattening,[],[f165]) ).

fof(f167,plain,
    ! [X0,X1,X2,X3] :
      ( ~ rless(X2,X0)
      | X0 = X2
      | ~ rless(X0,X2)
      | X2 != X3
      | ~ rreal(X3)
      | X0 != X1
      | ~ rreal(X1) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f168,plain,
    ! [X0,X1,X2,X3] :
      ( ~ rless(X2,X0)
      | X0 = X2
      | ~ rless(X0,X2)
      | X2 != X3
      | ~ rreal(X3)
      | X0 != X1
      | ~ rreal(X1) ),
    inference(flattening,[],[f167]) ).

fof(f359,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,[],[f160]) ).

fof(f361,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( vf(X0,X1) = X2
          & rreal(X2) )
      | ! [X3] :
          ( X1 != X3
          | ~ rpoint(X3) )
      | ! [X4] :
          ( X0 != X4
          | ~ rpoint(X4) ) ),
    inference(rectify,[],[f164]) ).

fof(f362,plain,
    ! [X0,X1] :
      ( ( vf(X0,X1) = sK3(X0,X1)
        & rreal(sK3(X0,X1)) )
      | ! [X3] :
          ( X1 != X3
          | ~ rpoint(X3) )
      | ! [X4] :
          ( X0 != X4
          | ~ rpoint(X4) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f361]) ).

fof(f427,plain,
    rinside(vd1125,vd1146),
    inference(cnf_transformation,[],[f126]) ).

fof(f431,plain,
    rcenter(vd1123,vd1146),
    inference(cnf_transformation,[],[f3]) ).

fof(f432,plain,
    ron(vd1129,vd1146),
    inference(cnf_transformation,[],[f3]) ).

fof(f434,plain,
    vd1123 = vd1127,
    inference(cnf_transformation,[],[f5]) ).

fof(f451,plain,
    rpoint(vd1124),
    inference(cnf_transformation,[],[f18]) ).

fof(f452,plain,
    vd1123 = vd1124,
    inference(cnf_transformation,[],[f18]) ).

fof(f453,plain,
    rpoint(vd1126),
    inference(cnf_transformation,[],[f18]) ).

fof(f454,plain,
    vd1125 = vd1126,
    inference(cnf_transformation,[],[f18]) ).

fof(f457,plain,
    rpoint(vd1130),
    inference(cnf_transformation,[],[f18]) ).

fof(f458,plain,
    vd1129 = vd1130,
    inference(cnf_transformation,[],[f18]) ).

fof(f461,plain,
    rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
    inference(cnf_transformation,[],[f18]) ).

fof(f469,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,[],[f359]) ).

fof(f472,plain,
    ! [X3,X0,X1,X4] :
      ( rreal(sK3(X0,X1))
      | X1 != X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(cnf_transformation,[],[f362]) ).

fof(f473,plain,
    ! [X3,X0,X1,X4] :
      ( vf(X0,X1) = sK3(X0,X1)
      | X1 != X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(cnf_transformation,[],[f362]) ).

fof(f474,plain,
    ! [X0,X1] :
      ( ~ rless(X0,X0)
      | X0 != X1
      | ~ rreal(X1) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f475,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rless(X2,X0)
      | X0 = X2
      | ~ rless(X0,X2)
      | X2 != X3
      | ~ rreal(X3)
      | X0 != X1
      | ~ rreal(X1) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f704,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,[],[f469]) ).

fof(f705,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,[],[f704]) ).

fof(f712,plain,
    ! [X3,X0,X4] :
      ( vf(X0,X3) = sK3(X0,X3)
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f473]) ).

fof(f713,plain,
    ! [X3,X4] :
      ( vf(X4,X3) = sK3(X4,X3)
      | ~ rpoint(X3)
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f712]) ).

fof(f714,plain,
    ! [X3,X0,X4] :
      ( rreal(sK3(X0,X3))
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f472]) ).

fof(f715,plain,
    ! [X3,X4] :
      ( rreal(sK3(X4,X3))
      | ~ rpoint(X3)
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f714]) ).

fof(f716,plain,
    ! [X1] :
      ( ~ rless(X1,X1)
      | ~ rreal(X1) ),
    inference(equality_resolution,[],[f474]) ).

fof(f717,plain,
    ! [X3,X0,X1] :
      ( ~ rless(X3,X0)
      | X0 = X3
      | ~ rless(X0,X3)
      | ~ rreal(X3)
      | X0 != X1
      | ~ rreal(X1) ),
    inference(equality_resolution,[],[f475]) ).

fof(f718,plain,
    ! [X3,X1] :
      ( ~ rless(X3,X1)
      | X1 = X3
      | ~ rless(X1,X3)
      | ~ rreal(X3)
      | ~ rreal(X1) ),
    inference(equality_resolution,[],[f717]) ).

fof(f1429,definition,
    ( spl46_13
  <=> vd1123 = vd1127 ),
    introduced(definition,[new_symbols(definition,[spl46_13])],[avatar_definition]) ).

fof(f1431,plain,
    ( vd1123 = vd1127
    | ~ spl46_13 ),
    inference(avatar_component_clause,[],[f1429]) ).

fof(f1516,plain,
    spl46_13,
    inference(avatar_split_clause,[],[f434,f1429]) ).

fof(f1521,plain,
    rpoint(vd1123),
    inference(superposition,[],[f451,f452]) ).

fof(f1522,plain,
    rpoint(vd1125),
    inference(superposition,[],[f453,f454]) ).

fof(f1524,plain,
    rpoint(vd1129),
    inference(superposition,[],[f457,f458]) ).

fof(f1531,plain,
    ( rless(vf(vd1123,vd1129),vf(vd1123,vd1125))
    | ~ spl46_13 ),
    inference(forward_demodulation,[],[f461,f1431]) ).

fof(f1566,plain,
    ! [X0,X1] :
      ( rreal(vf(X0,X1))
      | ~ rpoint(X1)
      | ~ rpoint(X0)
      | ~ rpoint(X1)
      | ~ rpoint(X0) ),
    inference(superposition,[],[f715,f713]) ).

fof(f1567,plain,
    ! [X0,X1] :
      ( rreal(vf(X0,X1))
      | ~ rpoint(X1)
      | ~ rpoint(X0) ),
    inference(duplicate_literal_removal,[],[f1566]) ).

fof(f1633,definition,
    ( spl46_31
  <=> rreal(vf(vd1123,vd1125)) ),
    introduced(definition,[new_symbols(definition,[spl46_31])],[avatar_definition]) ).

fof(f1634,plain,
    ( rreal(vf(vd1123,vd1125))
    | ~ spl46_31 ),
    inference(avatar_component_clause,[],[f1633]) ).

fof(f1635,plain,
    ( ~ rreal(vf(vd1123,vd1125))
    | spl46_31 ),
    inference(avatar_component_clause,[],[f1633]) ).

fof(f1637,definition,
    ( spl46_32
  <=> rreal(vf(vd1123,vd1129)) ),
    introduced(definition,[new_symbols(definition,[spl46_32])],[avatar_definition]) ).

fof(f1638,plain,
    ( rreal(vf(vd1123,vd1129))
    | ~ spl46_32 ),
    inference(avatar_component_clause,[],[f1637]) ).

fof(f1639,plain,
    ( ~ rreal(vf(vd1123,vd1129))
    | spl46_32 ),
    inference(avatar_component_clause,[],[f1637]) ).

fof(f1641,definition,
    ( spl46_33
  <=> rless(vf(vd1123,vd1125),vf(vd1123,vd1129)) ),
    introduced(definition,[new_symbols(definition,[spl46_33])],[avatar_definition]) ).

fof(f1642,plain,
    ( rless(vf(vd1123,vd1125),vf(vd1123,vd1129))
    | ~ spl46_33 ),
    inference(avatar_component_clause,[],[f1641]) ).

fof(f1643,plain,
    ( ~ rless(vf(vd1123,vd1125),vf(vd1123,vd1129))
    | spl46_33 ),
    inference(avatar_component_clause,[],[f1641]) ).

fof(f1645,definition,
    ( spl46_34
  <=> vf(vd1123,vd1125) = vf(vd1123,vd1129) ),
    introduced(definition,[new_symbols(definition,[spl46_34])],[avatar_definition]) ).

fof(f1647,plain,
    ( vf(vd1123,vd1125) = vf(vd1123,vd1129)
    | ~ spl46_34 ),
    inference(avatar_component_clause,[],[f1645]) ).

fof(f1649,plain,
    ( ~ rpoint(vd1125)
    | ~ rpoint(vd1123)
    | spl46_31 ),
    inference(resolution,[],[f1635,f1567]) ).

fof(f1650,plain,
    ( ~ rpoint(vd1123)
    | spl46_31 ),
    inference(forward_subsumption_resolution,[],[f1649,f1522]) ).

fof(f1651,plain,
    ( $false
    | spl46_31 ),
    inference(forward_subsumption_resolution,[],[f1650,f1521]) ).

fof(f1652,plain,
    spl46_31,
    inference(avatar_contradiction_clause,[],[f1651]) ).

fof(f1660,plain,
    ( ~ rpoint(vd1129)
    | ~ rpoint(vd1123)
    | spl46_32 ),
    inference(resolution,[],[f1639,f1567]) ).

fof(f1661,plain,
    ( ~ rpoint(vd1123)
    | spl46_32 ),
    inference(forward_subsumption_resolution,[],[f1660,f1524]) ).

fof(f1662,plain,
    ( $false
    | spl46_32 ),
    inference(forward_subsumption_resolution,[],[f1661,f1521]) ).

fof(f1663,plain,
    spl46_32,
    inference(avatar_contradiction_clause,[],[f1662]) ).

fof(f1668,plain,
    ( ! [X0] :
        ( ~ rinside(vd1125,X0)
        | ~ ron(vd1129,X0)
        | ~ rcenter(vd1123,X0)
        | ~ rpoint(vd1129)
        | ~ rpoint(vd1125) )
    | spl46_33 ),
    inference(resolution,[],[f1643,f705]) ).

fof(f1670,plain,
    ( ! [X0] :
        ( ~ rinside(vd1125,X0)
        | ~ ron(vd1129,X0)
        | ~ rcenter(vd1123,X0)
        | ~ rpoint(vd1125) )
    | spl46_33 ),
    inference(forward_subsumption_resolution,[],[f1668,f1524]) ).

fof(f1671,plain,
    ( ! [X0] :
        ( ~ rcenter(vd1123,X0)
        | ~ ron(vd1129,X0)
        | ~ rinside(vd1125,X0) )
    | spl46_33 ),
    inference(forward_subsumption_resolution,[],[f1670,f1522]) ).

fof(f1672,plain,
    ( ~ ron(vd1129,vd1146)
    | ~ rinside(vd1125,vd1146)
    | spl46_33 ),
    inference(resolution,[],[f1671,f431]) ).

fof(f1675,plain,
    ( ~ rinside(vd1125,vd1146)
    | spl46_33 ),
    inference(forward_subsumption_resolution,[],[f1672,f432]) ).

fof(f1676,plain,
    ( $false
    | spl46_33 ),
    inference(forward_subsumption_resolution,[],[f1675,f427]) ).

fof(f1677,plain,
    spl46_33,
    inference(avatar_contradiction_clause,[],[f1676]) ).

fof(f1680,plain,
    ( vf(vd1123,vd1125) = vf(vd1123,vd1129)
    | ~ rless(vf(vd1123,vd1129),vf(vd1123,vd1125))
    | ~ rreal(vf(vd1123,vd1125))
    | ~ rreal(vf(vd1123,vd1129))
    | ~ spl46_33 ),
    inference(resolution,[],[f1642,f718]) ).

fof(f1681,plain,
    ( vf(vd1123,vd1125) = vf(vd1123,vd1129)
    | ~ rreal(vf(vd1123,vd1125))
    | ~ rreal(vf(vd1123,vd1129))
    | ~ spl46_13
    | ~ spl46_33 ),
    inference(forward_subsumption_resolution,[],[f1680,f1531]) ).

fof(f1682,plain,
    ( vf(vd1123,vd1125) = vf(vd1123,vd1129)
    | ~ rreal(vf(vd1123,vd1129))
    | ~ spl46_13
    | ~ spl46_31
    | ~ spl46_33 ),
    inference(forward_subsumption_resolution,[],[f1681,f1634]) ).

fof(f1683,plain,
    ( vf(vd1123,vd1125) = vf(vd1123,vd1129)
    | ~ spl46_13
    | ~ spl46_31
    | ~ spl46_32
    | ~ spl46_33 ),
    inference(forward_subsumption_resolution,[],[f1682,f1638]) ).

fof(f1684,plain,
    ( spl46_34
    | ~ spl46_13
    | ~ spl46_31
    | ~ spl46_32
    | ~ spl46_33 ),
    inference(avatar_split_clause,[],[f1683,f1641,f1637,f1633,f1429,f1645]) ).

fof(f1687,plain,
    ( rless(vf(vd1123,vd1129),vf(vd1123,vd1129))
    | ~ spl46_33
    | ~ spl46_34 ),
    inference(superposition,[],[f1642,f1647]) ).

fof(f1699,plain,
    ( ~ rreal(vf(vd1123,vd1129))
    | ~ spl46_33
    | ~ spl46_34 ),
    inference(resolution,[],[f1687,f716]) ).

fof(f1702,plain,
    ( $false
    | ~ spl46_32
    | ~ spl46_33
    | ~ spl46_34 ),
    inference(forward_subsumption_resolution,[],[f1699,f1638]) ).

fof(f1703,plain,
    ( ~ spl46_32
    | ~ spl46_33
    | ~ spl46_34 ),
    inference(avatar_contradiction_clause,[],[f1702]) ).

cnf(s30,plain,
    spl46_13,
    inference(sat_conversion,[],[f1516]) ).

cnf(s35,plain,
    spl46_31,
    inference(sat_conversion,[],[f1652]) ).

cnf(s36,plain,
    spl46_32,
    inference(sat_conversion,[],[f1663]) ).

cnf(s37,plain,
    spl46_33,
    inference(sat_conversion,[],[f1677]) ).

cnf(s38,plain,
    ( ~ spl46_13
    | ~ spl46_31
    | ~ spl46_32
    | ~ spl46_33
    | spl46_34 ),
    inference(sat_conversion,[],[f1684]) ).

cnf(s39,plain,
    ( ~ spl46_32
    | ~ spl46_33
    | ~ spl46_34 ),
    inference(sat_conversion,[],[f1703]) ).

cnf(s40,plain,
    ~ spl46_34,
    inference(rat,[],[s39,s37,s36]) ).

cnf(s41,plain,
    ~ spl46_13,
    inference(rat,[],[s38,s40,s37,s36,s35]) ).

cnf(s42,plain,
    $false,
    inference(rat,[],[s30,s41]) ).

fof(f1704,plain,
    $false,
    inference(avatar_sat_refutation,[],[s42]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO282+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40  % Computer : n006.cluster.edu
% 0.11/0.40  % Model    : x86_64 x86_64
% 0.11/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40  % Memory   : 8046.5625MB
% 0.11/0.40  % OS       : Linux 6.8.0-71-generic
% 0.11/0.40  % CPULimit : 300
% 0.11/0.40  % WCLimit  : 300
% 0.11/0.40  % DateTime : Sun Sep 27 07:58:56 UTC 2026
% 0.11/0.40  % CPUTime  : 
% 0.11/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43  Running first-order theorem proving
% 0.11/0.43  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.78/0.96  % (2669447)Detected formulas, will run a generic FOF schedule.
% 0.78/0.96  % (2669457)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2343388793:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.78/0.96  % (2669458)dis-21_1_sil=8000:lcm=predicate:random_seed=3803480662:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.78/0.96  % (2669456)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=616561199:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.78/0.96  % (2669455)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2036901231:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.78/0.96  % (2669452)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2064894777:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.78/0.96  % (2669453)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1034332182:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.78/0.96  % (2669454)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3632098512:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.78/0.96  % (2669455)Refutation not found, incomplete strategy
% 0.78/0.96  % (2669455)------------------------------
% 0.78/0.96  % (2669455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.78/0.96  % (2669455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.96  % (2669455)CaDiCaL version: 2.1.3
% 0.78/0.96  % (2669455)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.96  % (2669455)Time elapsed: 0.002 s
% 0.78/0.96  % (2669455)Peak memory usage: 88 MB
% 0.78/0.96  % (2669455)Instructions burned: 1 (million)
% 0.78/0.96  % (2669457)First to succeed.
% 0.78/0.96  % (2669457)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2669447"
% 0.78/0.96  % (2669456)Instruction limit reached! 
% 0.78/0.96  % (2669456)------------------------------
% 0.78/0.96  % (2669456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.78/0.96  % (2669456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.96  % (2669456)CaDiCaL version: 2.1.3
% 0.78/0.96  % (2669456)Termination reason: Instruction limit
% 0.78/0.96  % (2669456)Termination phase: Saturation
% 0.78/0.96  % (2669456)Time elapsed: 0.067 s
% 0.78/0.96  % (2669456)Peak memory usage: 89 MB
% 0.78/0.96  % (2669456)Instructions burned: 120 (million)
% 0.78/0.96  % (2669458)Instruction limit reached! 
% 0.78/0.96  % (2669458)------------------------------
% 0.78/0.96  % (2669458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.78/0.96  % (2669458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.96  % (2669458)CaDiCaL version: 2.1.3
% 0.78/0.96  % (2669458)Termination reason: Instruction limit
% 0.78/0.96  % (2669458)Termination phase: Saturation
% 0.78/0.96  % (2669458)Time elapsed: 0.072 s
% 0.78/0.96  % (2669458)Peak memory usage: 91 MB
% 0.78/0.96  % (2669458)Instructions burned: 130 (million)
% 0.78/0.96  % (2669457)Refutation found. Thanks to Tanya!
% 0.78/0.96  % SZS status Theorem for theBenchmark
% 0.78/0.96  % SZS output start Proof for theBenchmark
% See solution above
% 2.60/1.05  % (2669457)------------------------------
% 2.60/1.05  % (2669457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.05  % (2669457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.05  % (2669457)CaDiCaL version: 2.1.3
% 2.60/1.05  % (2669457)Termination reason: Refutation
% 2.60/1.05  % (2669457)Time elapsed: 0.014 s
% 2.60/1.05  % (2669457)Peak memory usage: 91 MB
% 2.60/1.05  % (2669457)Instructions burned: 40 (million)
% 2.60/1.05  % (2669457)------------------------------
% 2.60/1.05  % (2669457)------------------------------
% 2.60/1.05  % (2669447)Success in time 0.324 s
% 2.60/1.05  % Vampire exiting
%------------------------------------------------------------------------------