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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO286+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 : 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 09:54:21 AM UTC 2026

% Result   : Theorem 11.96s 2.17s
% Output   : Refutation 11.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   79 (  25 unt;   0 def)
%            Number of atoms       :  536 (  67 equ)
%            Maximal formula atoms :   17 (   6 avg)
%            Number of connectives :  824 ( 367   ~; 411   |;  44   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (  10 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-4 aty)
%            Number of variables   :  181 ( 176   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ? [X0] :
      ( rR(X0,vd1123,vd1125)
      & ron(X0,vd1152)
      & ron(X0,vd1151)
      & rpoint(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(261)') ).

fof(f2,negated_conjecture,
    ~ ? [X0] :
        ( rR(X0,vd1123,vd1125)
        & ron(X0,vd1152)
        & ron(X0,vd1151)
        & rpoint(X0) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,axiom,
    ~ ron(vd1125,vd1152),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(comma_conjunct2(260)))') ).

fof(f4,axiom,
    ~ rinside(vd1125,vd1152),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(260))') ).

fof(f5,axiom,
    ( ron(vd1127,vd1152)
    & rcenter(vd1123,vd1152)
    & rcircle(vd1152)
    & ron(vd1125,vd1151)
    & ron(vd1123,vd1151) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))') ).

fof(f6,axiom,
    vd1123 = vd1129,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(258, 1150, 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(f12,axiom,
    rline(vd1151),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(259, 0)') ).

fof(f18,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( ron(X6,X2)
        & ~ ron(X6,X0)
        & ~ rinside(X6,X0)
        & X6 = X7
        & rpoint(X7)
        & ron(X4,X2)
        & rinside(X4,X0)
        & X4 = X5
        & rpoint(X5)
        & X2 = X3
        & rline(X3)
        & X0 = X1
        & rcircle(X1) )
     => ? [X8] :
          ( rR(X8,X4,X6)
          & ron(X8,X0)
          & ron(X8,X2)
          & rpoint(X8) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))') ).

fof(f84,axiom,
    ! [X0,X1] :
      ( rcenter(X0,X1)
     => rinside(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).

fof(f141,plain,
    ! [X0] :
      ( ~ rR(X0,vd1123,vd1125)
      | ~ ron(X0,vd1152)
      | ~ ron(X0,vd1151)
      | ~ rpoint(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f160,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ? [X8] :
          ( rR(X8,X4,X6)
          & ron(X8,X0)
          & ron(X8,X2)
          & rpoint(X8) )
      | ~ ron(X6,X2)
      | ron(X6,X0)
      | rinside(X6,X0)
      | X6 != X7
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f161,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ? [X8] :
          ( rR(X8,X4,X6)
          & ron(X8,X0)
          & ron(X8,X2)
          & rpoint(X8) )
      | ~ ron(X6,X2)
      | ron(X6,X0)
      | rinside(X6,X0)
      | X6 != X7
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(flattening,[],[f160]) ).

fof(f276,plain,
    ! [X0,X1] :
      ( rinside(X0,X1)
      | ~ rcenter(X0,X1) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f381,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( rR(sK4(X0,X2,X4,X6),X4,X6)
        & ron(sK4(X0,X2,X4,X6),X0)
        & ron(sK4(X0,X2,X4,X6),X2)
        & rpoint(sK4(X0,X2,X4,X6)) )
      | ~ ron(X6,X2)
      | ron(X6,X0)
      | rinside(X6,X0)
      | X6 != X7
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X8,sK4(X0,X2,X4,X6))],[f161]) ).

fof(f447,plain,
    ! [X0] :
      ( ~ rR(X0,vd1123,vd1125)
      | ~ ron(X0,vd1152)
      | ~ ron(X0,vd1151)
      | ~ rpoint(X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f448,plain,
    ~ ron(vd1125,vd1152),
    inference(cnf_transformation,[],[f3]) ).

fof(f449,plain,
    ~ rinside(vd1125,vd1152),
    inference(cnf_transformation,[],[f4]) ).

fof(f450,plain,
    ron(vd1123,vd1151),
    inference(cnf_transformation,[],[f5]) ).

fof(f451,plain,
    ron(vd1125,vd1151),
    inference(cnf_transformation,[],[f5]) ).

fof(f452,plain,
    rcircle(vd1152),
    inference(cnf_transformation,[],[f5]) ).

fof(f453,plain,
    rcenter(vd1123,vd1152),
    inference(cnf_transformation,[],[f5]) ).

fof(f455,plain,
    vd1123 = vd1129,
    inference(cnf_transformation,[],[f6]) ).

fof(f458,plain,
    rpoint(vd1126),
    inference(cnf_transformation,[],[f7]) ).

fof(f459,plain,
    vd1125 = vd1126,
    inference(cnf_transformation,[],[f7]) ).

fof(f462,plain,
    rpoint(vd1130),
    inference(cnf_transformation,[],[f7]) ).

fof(f463,plain,
    vd1129 = vd1130,
    inference(cnf_transformation,[],[f7]) ).

fof(f473,plain,
    rline(vd1151),
    inference(cnf_transformation,[],[f12]) ).

fof(f487,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( rpoint(sK4(X0,X2,X4,X6))
      | ~ ron(X6,X2)
      | ron(X6,X0)
      | rinside(X6,X0)
      | X6 != X7
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(cnf_transformation,[],[f381]) ).

fof(f488,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ron(sK4(X0,X2,X4,X6),X2)
      | ~ ron(X6,X2)
      | ron(X6,X0)
      | rinside(X6,X0)
      | X6 != X7
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(cnf_transformation,[],[f381]) ).

fof(f489,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ron(sK4(X0,X2,X4,X6),X0)
      | ~ ron(X6,X2)
      | ron(X6,X0)
      | rinside(X6,X0)
      | X6 != X7
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(cnf_transformation,[],[f381]) ).

fof(f490,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( rR(sK4(X0,X2,X4,X6),X4,X6)
      | ~ ron(X6,X2)
      | ron(X6,X0)
      | rinside(X6,X0)
      | X6 != X7
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(cnf_transformation,[],[f381]) ).

fof(f589,plain,
    ! [X0,X1] :
      ( ~ rcenter(X0,X1)
      | rinside(X0,X1) ),
    inference(cnf_transformation,[],[f276]) ).

fof(f727,plain,
    vd1123 = vd1130,
    inference(definition_unfolding,[],[f455,f463]) ).

fof(f728,plain,
    ! [X0] :
      ( ~ rR(X0,vd1130,vd1126)
      | ~ ron(X0,vd1152)
      | ~ ron(X0,vd1151)
      | ~ rpoint(X0) ),
    inference(definition_unfolding,[],[f447,f727,f459]) ).

fof(f729,plain,
    ~ ron(vd1126,vd1152),
    inference(definition_unfolding,[],[f448,f459]) ).

fof(f730,plain,
    ~ rinside(vd1126,vd1152),
    inference(definition_unfolding,[],[f449,f459]) ).

fof(f732,plain,
    rcenter(vd1130,vd1152),
    inference(definition_unfolding,[],[f453,f727]) ).

fof(f733,plain,
    ron(vd1126,vd1151),
    inference(definition_unfolding,[],[f451,f459]) ).

fof(f734,plain,
    ron(vd1130,vd1151),
    inference(definition_unfolding,[],[f450,f727]) ).

fof(f818,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( rR(sK4(X0,X2,X4,X7),X4,X7)
      | ~ ron(X7,X2)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f490]) ).

fof(f819,plain,
    ! [X2,X3,X0,X1,X7,X5] :
      ( rR(sK4(X0,X2,X5,X7),X5,X7)
      | ~ ron(X7,X2)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X5,X2)
      | ~ rinside(X5,X0)
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f818]) ).

fof(f820,plain,
    ! [X3,X0,X1,X7,X5] :
      ( rR(sK4(X0,X3,X5,X7),X5,X7)
      | ~ ron(X7,X3)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X5,X3)
      | ~ rinside(X5,X0)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f819]) ).

fof(f821,plain,
    ! [X3,X1,X7,X5] :
      ( rR(sK4(X1,X3,X5,X7),X5,X7)
      | ~ ron(X7,X3)
      | ron(X7,X1)
      | rinside(X7,X1)
      | ~ rpoint(X7)
      | ~ ron(X5,X3)
      | ~ rinside(X5,X1)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f820]) ).

fof(f822,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( ron(sK4(X0,X2,X4,X7),X0)
      | ~ ron(X7,X2)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f489]) ).

fof(f823,plain,
    ! [X2,X3,X0,X1,X7,X5] :
      ( ron(sK4(X0,X2,X5,X7),X0)
      | ~ ron(X7,X2)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X5,X2)
      | ~ rinside(X5,X0)
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f822]) ).

fof(f824,plain,
    ! [X3,X0,X1,X7,X5] :
      ( ron(sK4(X0,X3,X5,X7),X0)
      | ~ ron(X7,X3)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X5,X3)
      | ~ rinside(X5,X0)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f823]) ).

fof(f825,plain,
    ! [X3,X1,X7,X5] :
      ( ron(sK4(X1,X3,X5,X7),X1)
      | ~ ron(X7,X3)
      | ron(X7,X1)
      | rinside(X7,X1)
      | ~ rpoint(X7)
      | ~ ron(X5,X3)
      | ~ rinside(X5,X1)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f824]) ).

fof(f826,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( ron(sK4(X0,X2,X4,X7),X2)
      | ~ ron(X7,X2)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f488]) ).

fof(f827,plain,
    ! [X2,X3,X0,X1,X7,X5] :
      ( ron(sK4(X0,X2,X5,X7),X2)
      | ~ ron(X7,X2)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X5,X2)
      | ~ rinside(X5,X0)
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f826]) ).

fof(f828,plain,
    ! [X3,X0,X1,X7,X5] :
      ( ron(sK4(X0,X3,X5,X7),X3)
      | ~ ron(X7,X3)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X5,X3)
      | ~ rinside(X5,X0)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f827]) ).

fof(f829,plain,
    ! [X3,X1,X7,X5] :
      ( ron(sK4(X1,X3,X5,X7),X3)
      | ~ ron(X7,X3)
      | ron(X7,X1)
      | rinside(X7,X1)
      | ~ rpoint(X7)
      | ~ ron(X5,X3)
      | ~ rinside(X5,X1)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f828]) ).

fof(f830,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( rpoint(sK4(X0,X2,X4,X7))
      | ~ ron(X7,X2)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X4,X2)
      | ~ rinside(X4,X0)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f487]) ).

fof(f831,plain,
    ! [X2,X3,X0,X1,X7,X5] :
      ( rpoint(sK4(X0,X2,X5,X7))
      | ~ ron(X7,X2)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X5,X2)
      | ~ rinside(X5,X0)
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f830]) ).

fof(f832,plain,
    ! [X3,X0,X1,X7,X5] :
      ( rpoint(sK4(X0,X3,X5,X7))
      | ~ ron(X7,X3)
      | ron(X7,X0)
      | rinside(X7,X0)
      | ~ rpoint(X7)
      | ~ ron(X5,X3)
      | ~ rinside(X5,X0)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | X0 != X1
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f831]) ).

fof(f833,plain,
    ! [X3,X1,X7,X5] :
      ( rpoint(sK4(X1,X3,X5,X7))
      | ~ ron(X7,X3)
      | ron(X7,X1)
      | rinside(X7,X1)
      | ~ rpoint(X7)
      | ~ ron(X5,X3)
      | ~ rinside(X5,X1)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | ~ rcircle(X1) ),
    inference(equality_resolution,[],[f832]) ).

fof(f1467,plain,
    rinside(vd1130,vd1152),
    inference(resolution,[],[f589,f732]) ).

fof(f3982,plain,
    ! [X0,X1] :
      ( ~ ron(vd1126,X0)
      | ron(vd1126,X1)
      | rinside(vd1126,X1)
      | ~ rpoint(vd1126)
      | ~ ron(vd1130,X0)
      | ~ rinside(vd1130,X1)
      | ~ rpoint(vd1130)
      | ~ rline(X0)
      | ~ rcircle(X1)
      | ~ ron(sK4(X1,X0,vd1130,vd1126),vd1152)
      | ~ ron(sK4(X1,X0,vd1130,vd1126),vd1151)
      | ~ rpoint(sK4(X1,X0,vd1130,vd1126)) ),
    inference(resolution,[],[f821,f728]) ).

fof(f4042,plain,
    ! [X0,X1] :
      ( ~ ron(vd1126,X0)
      | ron(vd1126,X1)
      | rinside(vd1126,X1)
      | ~ rpoint(vd1126)
      | ~ ron(vd1130,X0)
      | ~ rinside(vd1130,X1)
      | ~ rpoint(vd1130)
      | ~ rline(X0)
      | ~ rcircle(X1)
      | ~ ron(sK4(X1,X0,vd1130,vd1126),vd1152)
      | ~ ron(sK4(X1,X0,vd1130,vd1126),vd1151) ),
    inference(forward_subsumption_resolution,[],[f3982,f833]) ).

fof(f4043,plain,
    ! [X0,X1] :
      ( ~ ron(vd1126,X0)
      | ron(vd1126,X1)
      | rinside(vd1126,X1)
      | ~ ron(vd1130,X0)
      | ~ rinside(vd1130,X1)
      | ~ rpoint(vd1130)
      | ~ rline(X0)
      | ~ rcircle(X1)
      | ~ ron(sK4(X1,X0,vd1130,vd1126),vd1152)
      | ~ ron(sK4(X1,X0,vd1130,vd1126),vd1151) ),
    inference(forward_subsumption_resolution,[],[f4042,f458]) ).

fof(f4044,plain,
    ! [X0,X1] :
      ( ~ ron(sK4(X1,X0,vd1130,vd1126),vd1151)
      | ron(vd1126,X1)
      | rinside(vd1126,X1)
      | ~ ron(vd1130,X0)
      | ~ rinside(vd1130,X1)
      | ~ rline(X0)
      | ~ rcircle(X1)
      | ~ ron(sK4(X1,X0,vd1130,vd1126),vd1152)
      | ~ ron(vd1126,X0) ),
    inference(forward_subsumption_resolution,[],[f4043,f462]) ).

fof(f4046,plain,
    ! [X0] :
      ( ron(vd1126,X0)
      | rinside(vd1126,X0)
      | ~ ron(vd1130,vd1151)
      | ~ rinside(vd1130,X0)
      | ~ rline(vd1151)
      | ~ rcircle(X0)
      | ~ ron(sK4(X0,vd1151,vd1130,vd1126),vd1152)
      | ~ ron(vd1126,vd1151)
      | ~ ron(vd1126,vd1151)
      | ron(vd1126,X0)
      | rinside(vd1126,X0)
      | ~ rpoint(vd1126)
      | ~ ron(vd1130,vd1151)
      | ~ rinside(vd1130,X0)
      | ~ rpoint(vd1130)
      | ~ rline(vd1151)
      | ~ rcircle(X0) ),
    inference(resolution,[],[f4044,f829]) ).

fof(f4047,plain,
    ! [X0] :
      ( ron(vd1126,X0)
      | rinside(vd1126,X0)
      | ~ ron(vd1130,vd1151)
      | ~ rinside(vd1130,X0)
      | ~ rline(vd1151)
      | ~ rcircle(X0)
      | ~ ron(sK4(X0,vd1151,vd1130,vd1126),vd1152)
      | ~ ron(vd1126,vd1151)
      | ~ rpoint(vd1126)
      | ~ rpoint(vd1130) ),
    inference(duplicate_literal_removal,[],[f4046]) ).

fof(f4049,plain,
    ! [X0] :
      ( ron(vd1126,X0)
      | rinside(vd1126,X0)
      | ~ rinside(vd1130,X0)
      | ~ rline(vd1151)
      | ~ rcircle(X0)
      | ~ ron(sK4(X0,vd1151,vd1130,vd1126),vd1152)
      | ~ ron(vd1126,vd1151)
      | ~ rpoint(vd1126)
      | ~ rpoint(vd1130) ),
    inference(forward_subsumption_resolution,[],[f4047,f734]) ).

fof(f4050,plain,
    ! [X0] :
      ( ron(vd1126,X0)
      | rinside(vd1126,X0)
      | ~ rinside(vd1130,X0)
      | ~ rcircle(X0)
      | ~ ron(sK4(X0,vd1151,vd1130,vd1126),vd1152)
      | ~ ron(vd1126,vd1151)
      | ~ rpoint(vd1126)
      | ~ rpoint(vd1130) ),
    inference(forward_subsumption_resolution,[],[f4049,f473]) ).

fof(f4051,plain,
    ! [X0] :
      ( ron(vd1126,X0)
      | rinside(vd1126,X0)
      | ~ rinside(vd1130,X0)
      | ~ rcircle(X0)
      | ~ ron(sK4(X0,vd1151,vd1130,vd1126),vd1152)
      | ~ rpoint(vd1126)
      | ~ rpoint(vd1130) ),
    inference(forward_subsumption_resolution,[],[f4050,f733]) ).

fof(f4052,plain,
    ! [X0] :
      ( ron(vd1126,X0)
      | rinside(vd1126,X0)
      | ~ rinside(vd1130,X0)
      | ~ rcircle(X0)
      | ~ ron(sK4(X0,vd1151,vd1130,vd1126),vd1152)
      | ~ rpoint(vd1130) ),
    inference(forward_subsumption_resolution,[],[f4051,f458]) ).

fof(f4053,plain,
    ! [X0] :
      ( ~ ron(sK4(X0,vd1151,vd1130,vd1126),vd1152)
      | rinside(vd1126,X0)
      | ~ rinside(vd1130,X0)
      | ~ rcircle(X0)
      | ron(vd1126,X0) ),
    inference(forward_subsumption_resolution,[],[f4052,f462]) ).

fof(f4060,plain,
    ( rinside(vd1126,vd1152)
    | ~ rinside(vd1130,vd1152)
    | ~ rcircle(vd1152)
    | ron(vd1126,vd1152)
    | ~ ron(vd1126,vd1151)
    | ron(vd1126,vd1152)
    | rinside(vd1126,vd1152)
    | ~ rpoint(vd1126)
    | ~ ron(vd1130,vd1151)
    | ~ rinside(vd1130,vd1152)
    | ~ rpoint(vd1130)
    | ~ rline(vd1151)
    | ~ rcircle(vd1152) ),
    inference(resolution,[],[f4053,f825]) ).

fof(f4061,plain,
    ( rinside(vd1126,vd1152)
    | ~ rinside(vd1130,vd1152)
    | ~ rcircle(vd1152)
    | ron(vd1126,vd1152)
    | ~ ron(vd1126,vd1151)
    | ~ rpoint(vd1126)
    | ~ ron(vd1130,vd1151)
    | ~ rpoint(vd1130)
    | ~ rline(vd1151) ),
    inference(duplicate_literal_removal,[],[f4060]) ).

fof(f4062,plain,
    ( ~ rinside(vd1130,vd1152)
    | ~ rcircle(vd1152)
    | ron(vd1126,vd1152)
    | ~ ron(vd1126,vd1151)
    | ~ rpoint(vd1126)
    | ~ ron(vd1130,vd1151)
    | ~ rpoint(vd1130)
    | ~ rline(vd1151) ),
    inference(forward_subsumption_resolution,[],[f4061,f730]) ).

fof(f4063,plain,
    ( ~ rcircle(vd1152)
    | ron(vd1126,vd1152)
    | ~ ron(vd1126,vd1151)
    | ~ rpoint(vd1126)
    | ~ ron(vd1130,vd1151)
    | ~ rpoint(vd1130)
    | ~ rline(vd1151) ),
    inference(forward_subsumption_resolution,[],[f4062,f1467]) ).

fof(f4064,plain,
    ( ron(vd1126,vd1152)
    | ~ ron(vd1126,vd1151)
    | ~ rpoint(vd1126)
    | ~ ron(vd1130,vd1151)
    | ~ rpoint(vd1130)
    | ~ rline(vd1151) ),
    inference(forward_subsumption_resolution,[],[f4063,f452]) ).

fof(f4065,plain,
    ( ~ ron(vd1126,vd1151)
    | ~ rpoint(vd1126)
    | ~ ron(vd1130,vd1151)
    | ~ rpoint(vd1130)
    | ~ rline(vd1151) ),
    inference(forward_subsumption_resolution,[],[f4064,f729]) ).

fof(f4066,plain,
    ( ~ rpoint(vd1126)
    | ~ ron(vd1130,vd1151)
    | ~ rpoint(vd1130)
    | ~ rline(vd1151) ),
    inference(forward_subsumption_resolution,[],[f4065,f733]) ).

fof(f4067,plain,
    ( ~ ron(vd1130,vd1151)
    | ~ rpoint(vd1130)
    | ~ rline(vd1151) ),
    inference(forward_subsumption_resolution,[],[f4066,f458]) ).

fof(f4068,plain,
    ( ~ rpoint(vd1130)
    | ~ rline(vd1151) ),
    inference(forward_subsumption_resolution,[],[f4067,f734]) ).

fof(f4069,plain,
    ~ rline(vd1151),
    inference(forward_subsumption_resolution,[],[f4068,f462]) ).

fof(f4070,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f4069,f473]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO286+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37  % Computer : n006.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 07:59:11 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40  Running first-order model finding
% 0.10/0.40  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
% 6.64/1.48  % (2669862)Will run a generic schedule for satisfiability detection.
% 6.64/1.48  % (2669867)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2058729840_2999 on theBenchmark for (2999ds/0Mi)
% 6.64/1.48  % (2669868)% WARNING: option uhcvi not known.
% 6.64/1.48  % (2669868)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=961272231:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.64/1.48  % (2669869)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1643910077:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.64/1.48  % (2669870)dis+10_1_sil=32000:sp=arity:random_seed=1962156684:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.64/1.48  % (2669871)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1231189905:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.64/1.48  % (2669873)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=605707185:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.64/1.48  % (2669872)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=491763381:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.64/1.48  % TRYING [1]
% 6.64/1.48  % TRYING [2]
% 6.64/1.48  % (2669871)Instruction limit reached! 
% 6.64/1.48  % (2669871)------------------------------
% 6.64/1.48  % (2669871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.48  % (2669871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.48  % (2669871)CaDiCaL version: 2.1.3
% 6.64/1.48  % (2669871)Termination reason: Instruction limit
% 6.64/1.48  % (2669871)Termination phase: Saturation
% 6.64/1.48  % (2669871)Time elapsed: 0.057 s
% 6.64/1.48  % (2669871)Peak memory usage: 13 MB
% 6.64/1.48  % (2669871)Instructions burned: 117 (million)
% 6.64/1.48  % (2669870)Instruction limit reached! 
% 6.64/1.48  % (2669870)------------------------------
% 6.64/1.48  % (2669870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.48  % (2669870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.48  % (2669870)CaDiCaL version: 2.1.3
% 6.64/1.48  % (2669870)Termination reason: Instruction limit
% 6.64/1.48  % (2669870)Termination phase: Saturation
% 6.64/1.48  % (2669870)Time elapsed: 0.058 s
% 6.64/1.48  % (2669870)Peak memory usage: 13 MB
% 6.64/1.48  % (2669870)Instructions burned: 104 (million)
% 6.64/1.48  % (2669872)Instruction limit reached! 
% 6.64/1.48  % (2669872)------------------------------
% 6.64/1.48  % (2669872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.48  % (2669872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.48  % (2669872)CaDiCaL version: 2.1.3
% 6.64/1.48  % (2669872)Termination reason: Instruction limit
% 6.64/1.48  % (2669872)Termination phase: Saturation
% 6.64/1.48  % (2669872)Time elapsed: 0.065 s
% 6.64/1.48  % (2669872)Peak memory usage: 13 MB
% 6.64/1.48  % (2669872)Instructions burned: 133 (million)
% 6.64/1.48  % (2669881)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2293035659:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.64/1.48  % (2669882)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3836935054:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.64/1.48  % (2669883)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=858114968:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.64/1.48  % (2669873)Instruction limit reached! 
% 6.64/1.48  % (2669873)------------------------------
% 6.64/1.48  % (2669873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.48  % (2669873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.48  % (2669873)CaDiCaL version: 2.1.3
% 6.64/1.48  % (2669873)Termination reason: Instruction limit
% 6.64/1.48  % (2669873)Termination phase: Saturation
% 6.64/1.48  % (2669873)Time elapsed: 0.096 s
% 6.64/1.48  % (2669873)Peak memory usage: 15 MB
% 6.64/1.48  % (2669873)Instructions burned: 160 (million)
% 6.64/1.48  % TRYING [1]
% 6.64/1.48  % TRYING [2]
% 6.64/1.48  % (2669887)ott-21_1_sil=16000:fs=off:random_seed=3139675664:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.64/1.48  % (2669882)Instruction limit reached! 
% 6.64/1.48  % (2669882)------------------------------
% 6.64/1.48  % (2669882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.48  % (2669882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/2.17  % (2669882)CaDiCaL version: 2.1.3
% 11.96/2.17  % (2669882)Termination reason: Instruction limit
% 11.96/2.17  % (2669882)Termination phase: Saturation
% 11.96/2.17  % (2669882)Time elapsed: 0.052 s
% 11.96/2.17  % (2669882)Peak memory usage: 12 MB
% 11.96/2.17  % (2669882)Instructions burned: 131 (million)
% 11.96/2.17  % (2669889)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3361647624:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 11.96/2.17  % (2669887)Instruction limit reached! 
% 11.96/2.17  % (2669887)------------------------------
% 11.96/2.17  % (2669887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.96/2.17  % (2669887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/2.17  % (2669887)CaDiCaL version: 2.1.3
% 11.96/2.17  % (2669887)Termination reason: Instruction limit
% 11.96/2.17  % (2669887)Termination phase: Saturation
% 11.96/2.17  % (2669887)Time elapsed: 0.093 s
% 11.96/2.17  % (2669887)Peak memory usage: 14 MB
% 11.96/2.17  % (2669887)Instructions burned: 181 (million)
% 11.96/2.17  % (2669891)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1283479486:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 11.96/2.17  % TRYING [1]
% 11.96/2.17  % (2669881)Instruction limit reached! 
% 11.96/2.17  % (2669881)------------------------------
% 11.96/2.17  % (2669881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.96/2.17  % (2669881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/2.17  % (2669881)CaDiCaL version: 2.1.3
% 11.96/2.17  % (2669881)Termination reason: Instruction limit
% 11.96/2.17  % (2669881)Termination phase: Finite model building constraint generation
% 11.96/2.17  % (2669881)Time elapsed: 0.248 s
% 11.96/2.17  % (2669881)Peak memory usage: 35 MB
% 11.96/2.17  % (2669881)Instructions burned: 714 (million)
% 11.96/2.17  % (2669893)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3910680291:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 11.96/2.17  % (2669889)Instruction limit reached! 
% 11.96/2.17  % (2669889)------------------------------
% 11.96/2.17  % (2669889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.96/2.17  % (2669889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/2.17  % (2669889)CaDiCaL version: 2.1.3
% 11.96/2.17  % (2669889)Termination reason: Instruction limit
% 11.96/2.17  % (2669889)Termination phase: Saturation
% 11.96/2.17  % (2669889)Time elapsed: 0.309 s
% 11.96/2.17  % (2669889)Peak memory usage: 15 MB
% 11.96/2.17  % (2669889)Instructions burned: 477 (million)
% 11.96/2.17  % (2669883)Instruction limit reached! 
% 11.96/2.17  % (2669883)------------------------------
% 11.96/2.17  % (2669883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.96/2.17  % (2669883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/2.17  % (2669883)CaDiCaL version: 2.1.3
% 11.96/2.17  % (2669883)Termination reason: Instruction limit
% 11.96/2.17  % (2669883)Termination phase: Saturation
% 11.96/2.17  % (2669883)Time elapsed: 0.374 s
% 11.96/2.17  % (2669883)Peak memory usage: 21 MB
% 11.96/2.17  % (2669883)Instructions burned: 685 (million)
% 11.96/2.17  % (2669895)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1968470110:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 11.96/2.17  % (2669896)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=454880775:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 11.96/2.17  % (2669895)Cannot represent all propositional literals internally
% 11.96/2.17  % (2669895)Refutation not found, incomplete strategy
% 11.96/2.17  % (2669895)------------------------------
% 11.96/2.17  % (2669895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.96/2.17  % (2669895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/2.17  % (2669895)CaDiCaL version: 2.1.3
% 11.96/2.17  % (2669895)Termination reason: Refutation not found, incomplete strategy
% 11.96/2.17  % (2669895)Time elapsed: 0.028 s
% 11.96/2.17  % (2669895)Peak memory usage: 12 MB
% 11.96/2.17  % (2669895)Instructions burned: 59 (million)
% 11.96/2.17  % (2669895)------------------------------
% 11.96/2.17  % (2669895)------------------------------
% 11.96/2.17  % (2669899)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3129657387:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 11.96/2.17  % (2669891)Instruction limit reached! 
% 11.96/2.17  % (2669891)------------------------------
% 11.96/2.17  % (2669891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.96/2.17  % (2669891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/2.17  % (2669891)CaDiCaL version: 2.1.3
% 11.96/2.17  % (2669891)Termination reason: Instruction limit
% 11.96/2.17  % (2669891)Termination phase: Finite model building constraint generation
% 11.96/2.17  % (2669891)Time elapsed: 0.398 s
% 11.96/2.17  % (2669891)Peak memory usage: 105 MB
% 11.96/2.17  % (2669891)Instructions burned: 868 (million)
% 11.96/2.17  % (2669901)fmb+10_1_sil=64000:random_seed=1477536354:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 11.96/2.17  % TRYING [1]
% 11.96/2.17  % (2669896)Instruction limit reached! 
% 11.96/2.17  % (2669896)------------------------------
% 11.96/2.17  % (2669896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.96/2.17  % (2669896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/2.17  % (2669896)CaDiCaL version: 2.1.3
% 11.96/2.17  % (2669896)Termination reason: Instruction limit
% 11.96/2.17  % (2669896)Termination phase: Saturation
% 11.96/2.17  % (2669896)Time elapsed: 0.359 s
% 11.96/2.17  % (2669896)Peak memory usage: 23 MB
% 11.96/2.17  % (2669896)Instructions burned: 693 (million)
% 11.96/2.17  % (2669903)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=740802760:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 11.96/2.17  % (2669903)Cannot represent all propositional literals internally
% 11.96/2.17  % (2669903)Refutation not found, incomplete strategy
% 11.96/2.17  % (2669903)------------------------------
% 11.96/2.17  % (2669903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.96/2.17  % (2669903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/2.17  % (2669903)CaDiCaL version: 2.1.3
% 11.96/2.17  % (2669903)Termination reason: Refutation not found, incomplete strategy
% 11.96/2.17  % (2669903)Time elapsed: 0.028 s
% 11.96/2.17  % (2669903)Peak memory usage: 12 MB
% 11.96/2.17  % (2669903)Instructions burned: 59 (million)
% 11.96/2.17  % (2669903)------------------------------
% 11.96/2.17  % (2669903)------------------------------
% 11.96/2.17  % (2669905)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2335466695:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 11.96/2.17  % (2669905)Cannot represent all propositional literals internally
% 11.96/2.17  % (2669905)Refutation not found, incomplete strategy
% 11.96/2.17  % (2669905)------------------------------
% 11.96/2.17  % (2669905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.96/2.17  % (2669905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/2.17  % (2669905)CaDiCaL version: 2.1.3
% 11.96/2.17  % (2669905)Termination reason: Refutation not found, incomplete strategy
% 11.96/2.17  % (2669905)Time elapsed: 0.028 s
% 11.96/2.17  % (2669905)Peak memory usage: 12 MB
% 11.96/2.17  % (2669905)Instructions burned: 59 (million)
% 11.96/2.17  % (2669905)------------------------------
% 11.96/2.17  % (2669905)------------------------------
% 11.96/2.17  % (2669907)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3957591450:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 11.96/2.17  % (2669893)Instruction limit reached! 
% 11.96/2.17  % (2669893)------------------------------
% 11.96/2.17  % (2669893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.96/2.17  % (2669893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/2.17  % (2669893)CaDiCaL version: 2.1.3
% 11.96/2.17  % (2669893)Termination reason: Instruction limit
% 11.96/2.17  % (2669893)Termination phase: Saturation
% 11.96/2.17  % (2669893)Time elapsed: 0.635 s
% 11.96/2.17  % (2669893)Peak memory usage: 28 MB
% 11.96/2.17  % (2669893)Instructions burned: 1180 (million)
% 11.96/2.17  % (2669909)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4256221454:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 11.96/2.17  % (2669899)Instruction limit reached! 
% 11.96/2.17  % (2669899)------------------------------
% 11.96/2.17  % (2669899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.96/2.17  % (2669899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/2.17  % (2669899)CaDiCaL version: 2.1.3
% 11.96/2.17  % (2669899)Termination reason: Instruction limit
% 11.96/2.17  % (2669899)Termination phase: Saturation
% 11.96/2.17  % (2669899)Time elapsed: 0.477 s
% 11.96/2.17  % (2669899)Peak memory usage: 20 MB
% 11.96/2.17  % (2669899)Instructions burned: 880 (million)
% 11.96/2.17  % (2669911)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2620849178:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 11.96/2.17  % (2669911)Cannot represent all propositional literals internally
% 11.96/2.17  % (2669911)Refutation not found, incomplete strategy
% 11.96/2.17  % (2669911)------------------------------
% 11.96/2.17  % (2669911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.96/2.17  % (2669911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/2.17  % (2669911)CaDiCaL version: 2.1.3
% 11.96/2.17  % (2669911)Termination reason: Refutation not found, incomplete strategy
% 11.96/2.17  % (2669911)Time elapsed: 0.035 s
% 11.96/2.17  % (2669911)Peak memory usage: 12 MB
% 11.96/2.17  % (2669911)Instructions burned: 73 (million)
% 11.96/2.17  % (2669911)------------------------------
% 11.96/2.17  % (2669911)------------------------------
% 11.96/2.17  % (2669913)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=369646351:fmbsr=2.30978:i=2174_2988 on theBenchmark for (2988ds/2174Mi)
% 11.96/2.17  % TRYING [2]
% 11.96/2.17  % (2669913)Cannot represent all propositional literals internally
% 11.96/2.17  % (2669913)Refutation not found, incomplete strategy
% 11.96/2.17  % (2669913)------------------------------
% 11.96/2.17  % (2669913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.96/2.17  % (2669913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/2.17  % (2669913)CaDiCaL version: 2.1.3
% 11.96/2.17  % (2669913)Termination reason: Refutation not found, incomplete strategy
% 11.96/2.17  % (2669913)Time elapsed: 0.028 s
% 11.96/2.17  % (2669913)Peak memory usage: 12 MB
% 11.96/2.17  % (2669913)Instructions burned: 60 (million)
% 11.96/2.17  % (2669913)------------------------------
% 11.96/2.17  % (2669913)------------------------------
% 11.96/2.17  % (2669915)ott-2_1_sil=16000:newcnf=on:random_seed=1521642107:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 11.96/2.17  % (2669915)Instruction limit reached! 
% 11.96/2.17  % (2669915)------------------------------
% 11.96/2.17  % (2669915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.96/2.17  % (2669915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/2.17  % (2669915)CaDiCaL version: 2.1.3
% 11.96/2.17  % (2669915)Termination reason: Instruction limit
% 11.96/2.17  % (2669915)Termination phase: Saturation
% 11.96/2.17  % (2669915)Time elapsed: 0.423 s
% 11.96/2.17  % (2669915)Peak memory usage: 15 MB
% 11.96/2.17  % (2669915)Instructions burned: 870 (million)
% 11.96/2.17  % (2669917)ott+10_1_sil=32000:tgt=ground:random_seed=2065028233:i=5114:av=off_2984 on theBenchmark for (2984ds/5114Mi)
% 11.96/2.17  % (2669909)Instruction limit reached! 
% 11.96/2.17  % (2669909)------------------------------
% 11.96/2.17  % (2669909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.96/2.17  % (2669909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/2.17  % (2669909)CaDiCaL version: 2.1.3
% 11.96/2.17  % (2669909)Termination reason: Instruction limit
% 11.96/2.17  % (2669909)Termination phase: Saturation
% 11.96/2.17  % (2669909)Time elapsed: 0.605 s
% 11.96/2.17  % (2669909)Peak memory usage: 16 MB
% 11.96/2.17  % (2669909)Instructions burned: 1473 (million)
% 11.96/2.17  % (2669919)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2327816356:i=54282_2983 on theBenchmark for (2983ds/54282Mi)
% 11.96/2.17  % TRYING [1]
% 11.96/2.17  % TRYING [2]
% 11.96/2.17  % (2669917) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2669862-2669917"...
% 11.96/2.17  % (2669917)...printing done.
% 11.96/2.17  % (2669917)Refutation found. Thanks to Tanya!
% 11.96/2.17  % SZS status Theorem for theBenchmark
% 11.96/2.17  % SZS output start Proof for theBenchmark
% See solution above
% 11.96/2.17  % (2669917)------------------------------
% 11.96/2.17  % (2669917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.96/2.17  % (2669917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/2.17  % (2669917)CaDiCaL version: 2.1.3
% 11.96/2.17  % (2669917)Termination reason: Refutation
% 11.96/2.17  % (2669917)Time elapsed: 0.121 s
% 11.96/2.17  % (2669917)Peak memory usage: 15 MB
% 11.96/2.17  % (2669917)Instructions burned: 226 (million)
% 11.96/2.17  % (2669862)Success in time 1.759 s
% 11.96/2.17  % Vampire exiting
%------------------------------------------------------------------------------