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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO307+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 09:52:24 AM UTC 2026

% Result   : Theorem 6.20s 2.21s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   90 (  48 unt;   2 def)
%            Number of atoms       :  578 ( 227 equ)
%            Maximal formula atoms :   26 (   6 avg)
%            Number of connectives :  836 ( 348   ~; 429   |;  57   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   40 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-3 aty)
%            Number of variables   :  209 ( 196   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    vangle(vd1288,vd1287,vd1289) = vangle(vd1288,vd1287,vd1306),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(357, 1316, 0)') ).

fof(f2,negated_conjecture,
    vangle(vd1288,vd1287,vd1289) != vangle(vd1288,vd1287,vd1306),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,axiom,
    ~ rR(vd1287,vd1289,vd1306),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(conjunct2(356)))') ).

fof(f6,axiom,
    rpoint(vd1306),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(352, 0)') ).

fof(f8,axiom,
    ( vf(vd1287,vd1288) = vf(vd1287,vd1289)
    & vd1288 != vd1289
    & vd1287 != vd1289
    & vd1287 != vd1288
    & ? [X0] :
        ( vd1289 = X0
        & rpoint(X0) )
    & ? [X1] :
        ( vd1288 = X1
        & rpoint(X1) )
    & ? [X2] :
        ( vd1287 = X2
        & rpoint(X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).

fof(f10,axiom,
    ! [X0,X1,X2] :
      ( ( rR(X1,X0,X2)
        & ? [X3] :
            ( X2 = X3
            & rpoint(X3) )
        & ? [X4] :
            ( X1 = X4
            & rpoint(X4) )
        & ? [X5] :
            ( X0 = X5
            & rpoint(X5) ) )
     => ( ~ rR(X0,X1,X2)
        & X0 != X2
        & X0 != X1
        & rR(X1,X2,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).

fof(f14,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ~ rR(X0,X2,X4)
        & ~ rR(X0,X1,X3)
        & X4 != X0
        & X3 != X0
        & X2 != X0
        & X1 != X0
        & ron(X4,X6)
        & ron(X2,X6)
        & ron(X3,X5)
        & ron(X1,X5)
        & ron(X0,X5)
        & ? [X7] :
            ( X6 = X7
            & rline(X7) )
        & ? [X8] :
            ( X5 = X8
            & rline(X8) )
        & ? [X9] :
            ( X4 = X9
            & rpoint(X9) )
        & ? [X10] :
            ( X3 = X10
            & rpoint(X10) )
        & ? [X11] :
            ( X2 = X11
            & rpoint(X11) )
        & ? [X12] :
            ( X1 = X12
            & rpoint(X12) )
        & ? [X13] :
            ( X0 = X13
            & rpoint(X13) ) )
     => vangle(X1,X0,X2) = vangle(X3,X0,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).

fof(f16,axiom,
    vd1306 != vd1287,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(353)), 1309, 0)') ).

fof(f18,axiom,
    vd1289 != vd1287,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(355)), 1313, 0)') ).

fof(f23,axiom,
    vd1288 != vd1287,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(355), 1312, 0)') ).

fof(f28,axiom,
    rline(vd1297),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(347, 0)') ).

fof(f31,axiom,
    rline(vd1295),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(346, 0)') ).

fof(f37,axiom,
    ron(vd1289,vd1297),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(354))))), 0)') ).

fof(f38,axiom,
    ron(vd1288,vd1295),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(354))))), 0)') ).

fof(f39,axiom,
    ron(vd1306,vd1297),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(conjunct2(conjunct2(conjunct2(354)))), 0)') ).

fof(f42,axiom,
    ron(vd1287,vd1295),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(354), 0)') ).

fof(f148,plain,
    vangle(vd1288,vd1287,vd1289) != vangle(vd1288,vd1287,vd1306),
    inference(flattening,[],[f2]) ).

fof(f155,plain,
    ! [X0,X1,X2] :
      ( ( ~ rR(X0,X1,X2)
        & X0 != X2
        & X0 != X1
        & rR(X1,X2,X0) )
      | ~ rR(X1,X0,X2)
      | ! [X3] :
          ( X2 != X3
          | ~ rpoint(X3) )
      | ! [X4] :
          ( X1 != X4
          | ~ rpoint(X4) )
      | ! [X5] :
          ( X0 != X5
          | ~ rpoint(X5) ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f156,plain,
    ! [X0,X1,X2] :
      ( ( ~ rR(X0,X1,X2)
        & X0 != X2
        & X0 != X1
        & rR(X1,X2,X0) )
      | ~ rR(X1,X0,X2)
      | ! [X3] :
          ( X2 != X3
          | ~ rpoint(X3) )
      | ! [X4] :
          ( X1 != X4
          | ~ rpoint(X4) )
      | ! [X5] :
          ( X0 != X5
          | ~ rpoint(X5) ) ),
    inference(flattening,[],[f155]) ).

fof(f157,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( vangle(X1,X0,X2) = vangle(X3,X0,X4)
      | rR(X0,X2,X4)
      | rR(X0,X1,X3)
      | X0 = X4
      | X0 = X3
      | X0 = X2
      | X0 = X1
      | ~ ron(X4,X6)
      | ~ ron(X2,X6)
      | ~ ron(X3,X5)
      | ~ ron(X1,X5)
      | ~ ron(X0,X5)
      | ! [X7] :
          ( X6 != X7
          | ~ rline(X7) )
      | ! [X8] :
          ( X5 != X8
          | ~ rline(X8) )
      | ! [X9] :
          ( X4 != X9
          | ~ rpoint(X9) )
      | ! [X10] :
          ( X3 != X10
          | ~ rpoint(X10) )
      | ! [X11] :
          ( X2 != X11
          | ~ rpoint(X11) )
      | ! [X12] :
          ( X1 != X12
          | ~ rpoint(X12) )
      | ! [X13] :
          ( X0 != X13
          | ~ rpoint(X13) ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f158,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( vangle(X1,X0,X2) = vangle(X3,X0,X4)
      | rR(X0,X2,X4)
      | rR(X0,X1,X3)
      | X0 = X4
      | X0 = X3
      | X0 = X2
      | X0 = X1
      | ~ ron(X4,X6)
      | ~ ron(X2,X6)
      | ~ ron(X3,X5)
      | ~ ron(X1,X5)
      | ~ ron(X0,X5)
      | ! [X7] :
          ( X6 != X7
          | ~ rline(X7) )
      | ! [X8] :
          ( X5 != X8
          | ~ rline(X8) )
      | ! [X9] :
          ( X4 != X9
          | ~ rpoint(X9) )
      | ! [X10] :
          ( X3 != X10
          | ~ rpoint(X10) )
      | ! [X11] :
          ( X2 != X11
          | ~ rpoint(X11) )
      | ! [X12] :
          ( X1 != X12
          | ~ rpoint(X12) )
      | ! [X13] :
          ( X0 != X13
          | ~ rpoint(X13) ) ),
    inference(flattening,[],[f157]) ).

fof(f365,plain,
    ( vf(vd1287,vd1288) = vf(vd1287,vd1289)
    & vd1288 != vd1289
    & vd1287 != vd1289
    & vd1287 != vd1288
    & vd1289 = sK1
    & rpoint(sK1)
    & vd1288 = sK2
    & rpoint(sK2)
    & vd1287 = sK3
    & rpoint(sK3) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f8]) ).

fof(f441,plain,
    vangle(vd1288,vd1287,vd1289) != vangle(vd1288,vd1287,vd1306),
    inference(cnf_transformation,[],[f148]) ).

fof(f442,plain,
    ~ rR(vd1287,vd1289,vd1306),
    inference(cnf_transformation,[],[f3]) ).

fof(f445,plain,
    rpoint(vd1306),
    inference(cnf_transformation,[],[f6]) ).

fof(f450,plain,
    rpoint(sK3),
    inference(cnf_transformation,[],[f365]) ).

fof(f451,plain,
    vd1287 = sK3,
    inference(cnf_transformation,[],[f365]) ).

fof(f452,plain,
    rpoint(sK2),
    inference(cnf_transformation,[],[f365]) ).

fof(f453,plain,
    vd1288 = sK2,
    inference(cnf_transformation,[],[f365]) ).

fof(f454,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f365]) ).

fof(f455,plain,
    vd1289 = sK1,
    inference(cnf_transformation,[],[f365]) ).

fof(f463,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( X0 != X2
      | ~ rR(X1,X0,X2)
      | X2 != X3
      | ~ rpoint(X3)
      | X1 != X4
      | ~ rpoint(X4)
      | X0 != X5
      | ~ rpoint(X5) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f468,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
      ( vangle(X1,X0,X2) = vangle(X3,X0,X4)
      | rR(X0,X2,X4)
      | rR(X0,X1,X3)
      | X0 = X4
      | X0 = X3
      | X0 = X2
      | X0 = X1
      | ~ ron(X4,X6)
      | ~ ron(X2,X6)
      | ~ ron(X3,X5)
      | ~ ron(X1,X5)
      | ~ ron(X0,X5)
      | X6 != X7
      | ~ rline(X7)
      | X5 != X8
      | ~ rline(X8)
      | X4 != X9
      | ~ rpoint(X9)
      | X3 != X10
      | ~ rpoint(X10)
      | X2 != X11
      | ~ rpoint(X11)
      | X1 != X12
      | ~ rpoint(X12)
      | X0 != X13
      | ~ rpoint(X13) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f470,plain,
    vd1287 != vd1306,
    inference(cnf_transformation,[],[f16]) ).

fof(f472,plain,
    vd1287 != vd1289,
    inference(cnf_transformation,[],[f18]) ).

fof(f477,plain,
    vd1288 != vd1287,
    inference(cnf_transformation,[],[f23]) ).

fof(f482,plain,
    rline(vd1297),
    inference(cnf_transformation,[],[f28]) ).

fof(f485,plain,
    rline(vd1295),
    inference(cnf_transformation,[],[f31]) ).

fof(f491,plain,
    ron(vd1289,vd1297),
    inference(cnf_transformation,[],[f37]) ).

fof(f492,plain,
    ron(vd1288,vd1295),
    inference(cnf_transformation,[],[f38]) ).

fof(f493,plain,
    ron(vd1306,vd1297),
    inference(cnf_transformation,[],[f39]) ).

fof(f496,plain,
    ron(vd1287,vd1295),
    inference(cnf_transformation,[],[f42]) ).

fof(f731,plain,
    vangle(sK2,sK3,sK1) != vangle(sK2,sK3,vd1306),
    inference(definition_unfolding,[],[f441,f453,f451,f455,f453,f451]) ).

fof(f732,plain,
    ~ rR(sK3,sK1,vd1306),
    inference(definition_unfolding,[],[f442,f451,f455]) ).

fof(f743,plain,
    vd1306 != sK3,
    inference(definition_unfolding,[],[f470,f451]) ).

fof(f745,plain,
    sK1 != sK3,
    inference(definition_unfolding,[],[f472,f451,f455]) ).

fof(f749,plain,
    sK2 != sK3,
    inference(definition_unfolding,[],[f477,f453,f451]) ).

fof(f756,plain,
    ron(sK1,vd1297),
    inference(definition_unfolding,[],[f491,f455]) ).

fof(f757,plain,
    ron(sK2,vd1295),
    inference(definition_unfolding,[],[f492,f453]) ).

fof(f760,plain,
    ron(sK3,vd1295),
    inference(definition_unfolding,[],[f496,f451]) ).

fof(f777,plain,
    ! [X2,X3,X1,X4,X5] :
      ( ~ rR(X1,X2,X2)
      | X2 != X3
      | ~ rpoint(X3)
      | X1 != X4
      | ~ rpoint(X4)
      | X2 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f463]) ).

fof(f778,plain,
    ! [X3,X1,X4,X5] :
      ( ~ rR(X1,X3,X3)
      | ~ rpoint(X3)
      | X1 != X4
      | ~ rpoint(X4)
      | X3 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f777]) ).

fof(f779,plain,
    ! [X3,X4,X5] :
      ( ~ rR(X4,X3,X3)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X3 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f778]) ).

fof(f780,plain,
    ! [X4,X5] :
      ( ~ rR(X4,X5,X5)
      | ~ rpoint(X5)
      | ~ rpoint(X4)
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f779]) ).

fof(f788,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12,X13] :
      ( vangle(X1,X0,X2) = vangle(X3,X0,X4)
      | rR(X0,X2,X4)
      | rR(X0,X1,X3)
      | X0 = X4
      | X0 = X3
      | X0 = X2
      | X0 = X1
      | ~ ron(X4,X7)
      | ~ ron(X2,X7)
      | ~ ron(X3,X5)
      | ~ ron(X1,X5)
      | ~ ron(X0,X5)
      | ~ rline(X7)
      | X5 != X8
      | ~ rline(X8)
      | X4 != X9
      | ~ rpoint(X9)
      | X3 != X10
      | ~ rpoint(X10)
      | X2 != X11
      | ~ rpoint(X11)
      | X1 != X12
      | ~ rpoint(X12)
      | X0 != X13
      | ~ rpoint(X13) ),
    inference(equality_resolution,[],[f468]) ).

fof(f789,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12,X13] :
      ( vangle(X1,X0,X2) = vangle(X3,X0,X4)
      | rR(X0,X2,X4)
      | rR(X0,X1,X3)
      | X0 = X4
      | X0 = X3
      | X0 = X2
      | X0 = X1
      | ~ ron(X4,X7)
      | ~ ron(X2,X7)
      | ~ ron(X3,X8)
      | ~ ron(X1,X8)
      | ~ ron(X0,X8)
      | ~ rline(X7)
      | ~ rline(X8)
      | X4 != X9
      | ~ rpoint(X9)
      | X3 != X10
      | ~ rpoint(X10)
      | X2 != X11
      | ~ rpoint(X11)
      | X1 != X12
      | ~ rpoint(X12)
      | X0 != X13
      | ~ rpoint(X13) ),
    inference(equality_resolution,[],[f788]) ).

fof(f790,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12,X13] :
      ( vangle(X1,X0,X2) = vangle(X3,X0,X9)
      | rR(X0,X2,X9)
      | rR(X0,X1,X3)
      | X0 = X9
      | X0 = X3
      | X0 = X2
      | X0 = X1
      | ~ ron(X9,X7)
      | ~ ron(X2,X7)
      | ~ ron(X3,X8)
      | ~ ron(X1,X8)
      | ~ ron(X0,X8)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rpoint(X9)
      | X3 != X10
      | ~ rpoint(X10)
      | X2 != X11
      | ~ rpoint(X11)
      | X1 != X12
      | ~ rpoint(X12)
      | X0 != X13
      | ~ rpoint(X13) ),
    inference(equality_resolution,[],[f789]) ).

fof(f791,plain,
    ! [X2,X10,X0,X11,X1,X8,X9,X7,X12,X13] :
      ( vangle(X1,X0,X2) = vangle(X10,X0,X9)
      | rR(X0,X2,X9)
      | rR(X0,X1,X10)
      | X0 = X9
      | X0 = X10
      | X0 = X2
      | X0 = X1
      | ~ ron(X9,X7)
      | ~ ron(X2,X7)
      | ~ ron(X10,X8)
      | ~ ron(X1,X8)
      | ~ ron(X0,X8)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | X2 != X11
      | ~ rpoint(X11)
      | X1 != X12
      | ~ rpoint(X12)
      | X0 != X13
      | ~ rpoint(X13) ),
    inference(equality_resolution,[],[f790]) ).

fof(f792,plain,
    ! [X10,X0,X11,X1,X8,X9,X7,X12,X13] :
      ( vangle(X10,X0,X9) = vangle(X1,X0,X11)
      | rR(X0,X11,X9)
      | rR(X0,X1,X10)
      | X0 = X9
      | X0 = X10
      | X0 = X11
      | X0 = X1
      | ~ ron(X9,X7)
      | ~ ron(X11,X7)
      | ~ ron(X10,X8)
      | ~ ron(X1,X8)
      | ~ ron(X0,X8)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | X1 != X12
      | ~ rpoint(X12)
      | X0 != X13
      | ~ rpoint(X13) ),
    inference(equality_resolution,[],[f791]) ).

fof(f793,plain,
    ! [X10,X0,X11,X8,X9,X7,X12,X13] :
      ( vangle(X10,X0,X9) = vangle(X12,X0,X11)
      | rR(X0,X11,X9)
      | rR(X0,X12,X10)
      | X0 = X9
      | X0 = X10
      | X0 = X11
      | X0 = X12
      | ~ ron(X9,X7)
      | ~ ron(X11,X7)
      | ~ ron(X10,X8)
      | ~ ron(X12,X8)
      | ~ ron(X0,X8)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | X0 != X13
      | ~ rpoint(X13) ),
    inference(equality_resolution,[],[f792]) ).

fof(f794,plain,
    ! [X10,X11,X8,X9,X7,X12,X13] :
      ( ~ ron(X13,X8)
      | rR(X13,X11,X9)
      | rR(X13,X12,X10)
      | X9 = X13
      | X10 = X13
      | X11 = X13
      | X12 = X13
      | ~ ron(X9,X7)
      | ~ ron(X11,X7)
      | ~ ron(X10,X8)
      | ~ ron(X12,X8)
      | vangle(X10,X13,X9) = vangle(X12,X13,X11)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | ~ rpoint(X13) ),
    inference(equality_resolution,[],[f793]) ).

fof(f1540,definition,
    sF52 = vangle(sK2,sK3,sK1),
    introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).

fof(f1541,plain,
    vangle(sK2,sK3,sK1) = sF52,
    inference(reorient_equations,[],[f1540]) ).

fof(f1542,definition,
    sF53 = vangle(sK2,sK3,vd1306),
    introduced(definition,[new_symbols(definition,[sF53])],[function_definition]) ).

fof(f1543,plain,
    vangle(sK2,sK3,vd1306) = sF53,
    inference(reorient_equations,[],[f1542]) ).

fof(f1544,plain,
    sF52 != sF53,
    inference(definition_folding,[],[f731,f1543,f1541]) ).

fof(f1547,plain,
    ! [X4,X5] :
      ( ~ rR(X4,X5,X5)
      | ~ rpoint(X5)
      | ~ rpoint(X4) ),
    inference(duplicate_literal_removal,[],[f780]) ).

fof(f1613,plain,
    ! [X2,X3,X0,X1,X4] :
      ( rR(sK3,X0,X1)
      | rR(sK3,X2,X3)
      | sK3 = X1
      | sK3 = X3
      | sK3 = X0
      | sK3 = X2
      | ~ ron(X1,X4)
      | ~ ron(X0,X4)
      | ~ ron(X3,vd1295)
      | ~ ron(X2,vd1295)
      | vangle(X3,sK3,X1) = vangle(X2,sK3,X0)
      | ~ rline(X4)
      | ~ rline(vd1295)
      | ~ rpoint(X1)
      | ~ rpoint(X3)
      | ~ rpoint(X0)
      | ~ rpoint(X2)
      | ~ rpoint(sK3) ),
    inference(resolution,[],[f760,f794]) ).

fof(f13421,plain,
    ! [X2,X3,X0,X1,X4] :
      ( rR(sK3,X0,X1)
      | rR(sK3,X2,X3)
      | sK3 = X1
      | sK3 = X3
      | sK3 = X0
      | sK3 = X2
      | ~ ron(X1,X4)
      | ~ ron(X0,X4)
      | ~ ron(X3,vd1295)
      | ~ ron(X2,vd1295)
      | vangle(X3,sK3,X1) = vangle(X2,sK3,X0)
      | ~ rline(X4)
      | ~ rpoint(X1)
      | ~ rpoint(X3)
      | ~ rpoint(X0)
      | ~ rpoint(X2)
      | ~ rpoint(sK3) ),
    inference(forward_subsumption_resolution,[],[f1613,f485]) ).

fof(f13846,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ron(X3,vd1295)
      | rR(sK3,X2,X3)
      | sK3 = X1
      | sK3 = X3
      | sK3 = X0
      | sK3 = X2
      | ~ ron(X1,X4)
      | ~ ron(X0,X4)
      | rR(sK3,X0,X1)
      | ~ ron(X2,vd1295)
      | vangle(X3,sK3,X1) = vangle(X2,sK3,X0)
      | ~ rline(X4)
      | ~ rpoint(X1)
      | ~ rpoint(X3)
      | ~ rpoint(X0)
      | ~ rpoint(X2) ),
    inference(forward_subsumption_resolution,[],[f13421,f450]) ).

fof(f16123,plain,
    ! [X2,X3,X0,X1] :
      ( rR(sK3,X0,sK2)
      | sK3 = X1
      | sK2 = sK3
      | sK3 = X2
      | sK3 = X0
      | ~ ron(X1,X3)
      | ~ ron(X2,X3)
      | rR(sK3,X2,X1)
      | ~ ron(X0,vd1295)
      | vangle(X0,sK3,X2) = vangle(sK2,sK3,X1)
      | ~ rline(X3)
      | ~ rpoint(X1)
      | ~ rpoint(sK2)
      | ~ rpoint(X2)
      | ~ rpoint(X0) ),
    inference(resolution,[],[f13846,f757]) ).

fof(f16125,plain,
    ! [X2,X3,X0,X1] :
      ( rR(sK3,X0,sK2)
      | sK3 = X1
      | sK3 = X2
      | sK3 = X0
      | ~ ron(X1,X3)
      | ~ ron(X2,X3)
      | rR(sK3,X2,X1)
      | ~ ron(X0,vd1295)
      | vangle(X0,sK3,X2) = vangle(sK2,sK3,X1)
      | ~ rline(X3)
      | ~ rpoint(X1)
      | ~ rpoint(sK2)
      | ~ rpoint(X2)
      | ~ rpoint(X0) ),
    inference(forward_subsumption_resolution,[],[f16123,f749]) ).

fof(f16127,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ron(X2,X3)
      | sK3 = X1
      | sK3 = X2
      | sK3 = X0
      | ~ ron(X1,X3)
      | rR(sK3,X0,sK2)
      | rR(sK3,X2,X1)
      | ~ ron(X0,vd1295)
      | vangle(X0,sK3,X2) = vangle(sK2,sK3,X1)
      | ~ rline(X3)
      | ~ rpoint(X1)
      | ~ rpoint(X2)
      | ~ rpoint(X0) ),
    inference(forward_subsumption_resolution,[],[f16125,f452]) ).

fof(f16254,plain,
    ! [X0,X1] :
      ( sK3 = X0
      | sK1 = sK3
      | sK3 = X1
      | ~ ron(X0,vd1297)
      | rR(sK3,X1,sK2)
      | rR(sK3,sK1,X0)
      | ~ ron(X1,vd1295)
      | vangle(sK2,sK3,X0) = vangle(X1,sK3,sK1)
      | ~ rline(vd1297)
      | ~ rpoint(X0)
      | ~ rpoint(sK1)
      | ~ rpoint(X1) ),
    inference(resolution,[],[f16127,f756]) ).

fof(f16284,plain,
    ! [X0,X1] :
      ( sK3 = X0
      | sK3 = X1
      | ~ ron(X0,vd1297)
      | rR(sK3,X1,sK2)
      | rR(sK3,sK1,X0)
      | ~ ron(X1,vd1295)
      | vangle(sK2,sK3,X0) = vangle(X1,sK3,sK1)
      | ~ rline(vd1297)
      | ~ rpoint(X0)
      | ~ rpoint(sK1)
      | ~ rpoint(X1) ),
    inference(forward_subsumption_resolution,[],[f16254,f745]) ).

fof(f16290,plain,
    ! [X0,X1] :
      ( sK3 = X0
      | sK3 = X1
      | ~ ron(X0,vd1297)
      | rR(sK3,X1,sK2)
      | rR(sK3,sK1,X0)
      | ~ ron(X1,vd1295)
      | vangle(sK2,sK3,X0) = vangle(X1,sK3,sK1)
      | ~ rpoint(X0)
      | ~ rpoint(sK1)
      | ~ rpoint(X1) ),
    inference(forward_subsumption_resolution,[],[f16284,f482]) ).

fof(f16296,plain,
    ! [X0,X1] :
      ( rR(sK3,sK1,X0)
      | rR(sK3,X1,sK2)
      | ~ ron(X0,vd1297)
      | sK3 = X1
      | sK3 = X0
      | ~ ron(X1,vd1295)
      | vangle(sK2,sK3,X0) = vangle(X1,sK3,sK1)
      | ~ rpoint(X0)
      | ~ rpoint(X1) ),
    inference(forward_subsumption_resolution,[],[f16290,f454]) ).

fof(f18104,plain,
    ! [X0] :
      ( rR(sK3,X0,sK2)
      | ~ ron(vd1306,vd1297)
      | sK3 = X0
      | vd1306 = sK3
      | ~ ron(X0,vd1295)
      | vangle(sK2,sK3,vd1306) = vangle(X0,sK3,sK1)
      | ~ rpoint(vd1306)
      | ~ rpoint(X0) ),
    inference(resolution,[],[f16296,f732]) ).

fof(f18163,plain,
    ! [X0] :
      ( rR(sK3,X0,sK2)
      | sK3 = X0
      | vd1306 = sK3
      | ~ ron(X0,vd1295)
      | vangle(sK2,sK3,vd1306) = vangle(X0,sK3,sK1)
      | ~ rpoint(vd1306)
      | ~ rpoint(X0) ),
    inference(forward_subsumption_resolution,[],[f18104,f493]) ).

fof(f18181,plain,
    ! [X0] :
      ( rR(sK3,X0,sK2)
      | sK3 = X0
      | ~ ron(X0,vd1295)
      | vangle(sK2,sK3,vd1306) = vangle(X0,sK3,sK1)
      | ~ rpoint(vd1306)
      | ~ rpoint(X0) ),
    inference(forward_subsumption_resolution,[],[f18163,f743]) ).

fof(f18188,plain,
    ! [X0] :
      ( rR(sK3,X0,sK2)
      | sK3 = X0
      | ~ ron(X0,vd1295)
      | vangle(sK2,sK3,vd1306) = vangle(X0,sK3,sK1)
      | ~ rpoint(X0) ),
    inference(forward_subsumption_resolution,[],[f18181,f445]) ).

fof(f18194,plain,
    ! [X0] :
      ( rR(sK3,X0,sK2)
      | sF53 = vangle(X0,sK3,sK1)
      | sK3 = X0
      | ~ ron(X0,vd1295)
      | ~ rpoint(X0) ),
    inference(forward_demodulation,[],[f18188,f1543]) ).

fof(f18218,plain,
    ( vangle(sK2,sK3,sK1) = sF53
    | sK2 = sK3
    | ~ ron(sK2,vd1295)
    | ~ rpoint(sK2)
    | ~ rpoint(sK2)
    | ~ rpoint(sK3) ),
    inference(resolution,[],[f18194,f1547]) ).

fof(f18222,plain,
    ( vangle(sK2,sK3,sK1) = sF53
    | sK2 = sK3
    | ~ ron(sK2,vd1295)
    | ~ rpoint(sK2)
    | ~ rpoint(sK3) ),
    inference(duplicate_literal_removal,[],[f18218]) ).

fof(f18233,plain,
    ( vangle(sK2,sK3,sK1) = sF53
    | ~ ron(sK2,vd1295)
    | ~ rpoint(sK2)
    | ~ rpoint(sK3) ),
    inference(forward_subsumption_resolution,[],[f18222,f749]) ).

fof(f18241,plain,
    ( vangle(sK2,sK3,sK1) = sF53
    | ~ rpoint(sK2)
    | ~ rpoint(sK3) ),
    inference(forward_subsumption_resolution,[],[f18233,f757]) ).

fof(f18249,plain,
    ( vangle(sK2,sK3,sK1) = sF53
    | ~ rpoint(sK3) ),
    inference(forward_subsumption_resolution,[],[f18241,f452]) ).

fof(f18251,plain,
    vangle(sK2,sK3,sK1) = sF53,
    inference(forward_subsumption_resolution,[],[f18249,f450]) ).

fof(f18253,plain,
    sF52 = sF53,
    inference(forward_demodulation,[],[f18251,f1541]) ).

fof(f18255,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f18253,f1544]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO307+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n011.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 08:03:30 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.20/2.21  % (2083133)Detected formulas, will run a generic FOF schedule.
% 6.20/2.21  % (2083143)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2188801432:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.20/2.21  % (2083139)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=2199995341:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.20/2.21  % (2083140)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=20053591:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.20/2.21  % (2083144)dis-21_1_sil=8000:lcm=predicate:random_seed=1460315569: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)
% 6.20/2.21  % (2083138)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=1231584519:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.20/2.21  % (2083141)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2752234464:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.20/2.21  % (2083142)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=185090526:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.20/2.21  % (2083143)Instruction limit reached! 
% 6.20/2.21  % (2083143)------------------------------
% 6.20/2.21  % (2083143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/2.21  % (2083143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/2.21  % (2083143)CaDiCaL version: 2.1.3
% 6.20/2.21  % (2083143)Termination reason: Instruction limit
% 6.20/2.21  % (2083143)Termination phase: Saturation
% 6.20/2.21  % (2083143)Time elapsed: 0.047 s
% 6.20/2.21  % (2083143)Peak memory usage: 91 MB
% 6.20/2.21  % (2083143)Instructions burned: 139 (million)
% 6.20/2.21  % (2083141)Instruction limit reached! 
% 6.20/2.21  % (2083141)------------------------------
% 6.20/2.21  % (2083141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/2.21  % (2083141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/2.21  % (2083141)CaDiCaL version: 2.1.3
% 6.20/2.21  % (2083141)Termination reason: Instruction limit
% 6.20/2.21  % (2083141)Termination phase: Saturation
% 6.20/2.21  % (2083141)Time elapsed: 0.057 s
% 6.20/2.21  % (2083141)Peak memory usage: 89 MB
% 6.20/2.21  % (2083141)Instructions burned: 110 (million)
% 6.20/2.21  % (2083142)Instruction limit reached! 
% 6.20/2.21  % (2083142)------------------------------
% 6.20/2.21  % (2083142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/2.21  % (2083142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/2.21  % (2083142)CaDiCaL version: 2.1.3
% 6.20/2.21  % (2083142)Termination reason: Instruction limit
% 6.20/2.21  % (2083142)Termination phase: Saturation
% 6.20/2.21  % (2083142)Time elapsed: 0.065 s
% 6.20/2.21  % (2083142)Peak memory usage: 89 MB
% 6.20/2.21  % (2083142)Instructions burned: 119 (million)
% 6.20/2.21  % (2083144)Instruction limit reached! 
% 6.20/2.21  % (2083144)------------------------------
% 6.20/2.21  % (2083144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/2.21  % (2083144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/2.21  % (2083144)CaDiCaL version: 2.1.3
% 6.20/2.21  % (2083144)Termination reason: Instruction limit
% 6.20/2.21  % (2083144)Termination phase: Saturation
% 6.20/2.21  % (2083144)Time elapsed: 0.068 s
% 6.20/2.21  % (2083144)Peak memory usage: 90 MB
% 6.20/2.21  % (2083144)Instructions burned: 130 (million)
% 6.20/2.21  % (2083152)lrs+10_1_sil=8000:sp=occurrence:random_seed=554802864:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.20/2.21  % (2083154)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2391834546:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.20/2.21  % (2083155)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1069862752:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.20/2.21  % (2083153)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2310693803:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.20/2.21  % (2083152)Instruction limit reached! 
% 6.20/2.21  % (2083152)------------------------------
% 6.20/2.21  % (2083152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/2.21  % (2083152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/2.21  % (2083152)CaDiCaL version: 2.1.3
% 6.20/2.21  % (2083152)Termination reason: Instruction limit
% 6.20/2.21  % (2083152)Termination phase: Saturation
% 6.20/2.21  % (2083152)Time elapsed: 0.126 s
% 6.20/2.21  % (2083152)Peak memory usage: 92 MB
% 6.20/2.21  % (2083152)Instructions burned: 287 (million)
% 6.20/2.21  % (2083153)Instruction limit reached! 
% 6.20/2.21  % (2083153)------------------------------
% 6.20/2.21  % (2083153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/2.21  % (2083153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/2.21  % (2083153)CaDiCaL version: 2.1.3
% 6.20/2.21  % (2083153)Termination reason: Instruction limit
% 6.20/2.21  % (2083153)Termination phase: Saturation
% 6.20/2.21  % (2083153)Time elapsed: 0.073 s
% 6.20/2.21  % (2083153)Peak memory usage: 89 MB
% 6.20/2.21  % (2083153)Instructions burned: 159 (million)
% 6.20/2.21  % (2083155)Instruction limit reached! 
% 6.20/2.21  % (2083155)------------------------------
% 6.20/2.21  % (2083155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/2.21  % (2083155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/2.21  % (2083155)CaDiCaL version: 2.1.3
% 6.20/2.21  % (2083155)Termination reason: Instruction limit
% 6.20/2.21  % (2083155)Termination phase: Saturation
% 6.20/2.21  % (2083155)Time elapsed: 0.113 s
% 6.20/2.21  % (2083155)Peak memory usage: 94 MB
% 6.20/2.21  % (2083155)Instructions burned: 248 (million)
% 6.20/2.21  % (2083154)Instruction limit reached! 
% 6.20/2.21  % (2083154)------------------------------
% 6.20/2.21  % (2083154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/2.21  % (2083154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/2.21  % (2083154)CaDiCaL version: 2.1.3
% 6.20/2.21  % (2083154)Termination reason: Instruction limit
% 6.20/2.21  % (2083154)Termination phase: Saturation
% 6.20/2.21  % (2083154)Time elapsed: 0.159 s
% 6.20/2.21  % (2083154)Peak memory usage: 90 MB
% 6.20/2.21  % (2083154)Instructions burned: 325 (million)
% 6.20/2.21  % (2083161)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=749107931:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.20/2.21  % (2083160)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3446262186:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.20/2.21  % (2083162)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3742409547:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.20/2.21  % (2083160)Instruction limit reached! 
% 6.20/2.21  % (2083160)------------------------------
% 6.20/2.21  % (2083160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/2.21  % (2083160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/2.21  % (2083160)CaDiCaL version: 2.1.3
% 6.20/2.21  % (2083160)Termination reason: Instruction limit
% 6.20/2.21  % (2083160)Termination phase: Saturation
% 6.20/2.21  % (2083160)Time elapsed: 0.072 s
% 6.20/2.21  % (2083160)Peak memory usage: 89 MB
% 6.20/2.21  % (2083160)Instructions burned: 295 (million)
% 6.20/2.21  % (2083162)Instruction limit reached! 
% 6.20/2.21  % (2083162)------------------------------
% 6.20/2.21  % (2083162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/2.21  % (2083162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/2.21  % (2083162)CaDiCaL version: 2.1.3
% 6.20/2.21  % (2083162)Termination reason: Instruction limit
% 6.20/2.21  % (2083162)Termination phase: Saturation
% 6.20/2.21  % (2083162)Time elapsed: 0.059 s
% 6.20/2.21  % (2083162)Peak memory usage: 90 MB
% 6.20/2.21  % (2083162)Instructions burned: 114 (million)
% 6.20/2.21  % (2083163)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=582000087:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.20/2.21  % (2083163)Refutation not found, incomplete strategy
% 6.20/2.21  % (2083163)------------------------------
% 6.20/2.21  % (2083163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/2.21  % (2083163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/2.21  % (2083163)CaDiCaL version: 2.1.3
% 6.20/2.21  % (2083163)Termination reason: Refutation not found, incomplete strategy
% 6.20/2.21  % (2083163)Time elapsed: 0.021 s
% 6.20/2.21  % (2083163)Peak memory usage: 89 MB
% 6.20/2.21  % (2083163)Instructions burned: 42 (million)
% 6.20/2.21  % (2083167)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=575594218:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.20/2.21  % (2083168)lrs+10_1_sil=8000:sp=occurrence:random_seed=349025395:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.20/2.21  % (2083167)Instruction limit reached! 
% 6.20/2.21  % (2083167)------------------------------
% 6.20/2.21  % (2083167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/2.21  % (2083167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/2.21  % (2083167)CaDiCaL version: 2.1.3
% 6.20/2.21  % (2083167)Termination reason: Instruction limit
% 6.20/2.21  % (2083167)Termination phase: Saturation
% 6.20/2.21  % (2083167)Time elapsed: 0.047 s
% 6.20/2.21  % (2083167)Peak memory usage: 89 MB
% 6.20/2.21  % (2083167)Instructions burned: 114 (million)
% 6.20/2.21  % (2083163)------------------------------
% 6.20/2.21  % (2083163)------------------------------
% 6.20/2.21  % (2083172)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2703201771:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.20/2.21  % (2083172)Refutation not found, incomplete strategy
% 6.20/2.21  % (2083172)------------------------------
% 6.20/2.21  % (2083172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/2.21  % (2083172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/2.21  % (2083172)CaDiCaL version: 2.1.3
% 6.20/2.21  % (2083172)Termination reason: Refutation not found, incomplete strategy
% 6.20/2.21  % (2083172)Time elapsed: 0.018 s
% 6.20/2.21  % (2083172)Peak memory usage: 89 MB
% 6.20/2.21  % (2083172)Instructions burned: 32 (million)
% 6.20/2.21  % (2083173)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1351720083:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.20/2.21  % (2083172)------------------------------
% 6.20/2.21  % (2083172)------------------------------
% 6.20/2.21  % (2083168)Instruction limit reached! 
% 6.20/2.21  % (2083168)------------------------------
% 6.20/2.21  % (2083168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/2.21  % (2083168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/2.21  % (2083168)CaDiCaL version: 2.1.3
% 6.20/2.21  % (2083168)Termination reason: Instruction limit
% 6.20/2.21  % (2083168)Termination phase: Saturation
% 6.20/2.21  % (2083168)Time elapsed: 0.486 s
% 6.20/2.21  % (2083168)Peak memory usage: 99 MB
% 6.20/2.21  % (2083168)Instructions burned: 908 (million)
% 6.20/2.21  % (2083138)First to succeed.
% 6.20/2.21  % (2083138)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2083133"
% 6.20/2.21  % (2083176)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2283122394:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 6.20/2.21  % (2083176)Instruction limit reached! 
% 6.20/2.21  % (2083176)------------------------------
% 6.20/2.21  % (2083176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/2.21  % (2083176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/2.21  % (2083176)CaDiCaL version: 2.1.3
% 6.20/2.21  % (2083176)Termination reason: Instruction limit
% 6.20/2.21  % (2083176)Termination phase: Saturation
% 6.20/2.21  % (2083176)Time elapsed: 0.068 s
% 6.20/2.21  % (2083176)Peak memory usage: 93 MB
% 6.20/2.21  % (2083176)Instructions burned: 136 (million)
% 6.20/2.21  % (2083177)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1629937467:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 6.20/2.21  % (2083138)Refutation found. Thanks to Tanya!
% 6.20/2.21  % SZS status Theorem for theBenchmark
% 6.20/2.21  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/2.40  % (2083138)------------------------------
% 0.16/2.40  % (2083138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.40  % (2083138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.40  % (2083138)CaDiCaL version: 2.1.3
% 0.16/2.40  % (2083138)Termination reason: Refutation
% 0.16/2.40  % (2083138)Time elapsed: 1.272 s
% 0.16/2.40  % (2083138)Peak memory usage: 145 MB
% 0.16/2.40  % (2083138)Instructions burned: 3327 (million)
% 0.16/2.40  % (2083138)------------------------------
% 0.16/2.40  % (2083138)------------------------------
% 0.16/2.40  % (2083133)Success in time 1.6 s
% 0.16/2.40  % Vampire exiting
%------------------------------------------------------------------------------