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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO596+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 09:53:01 AM UTC 2026

% Result   : Theorem 6.54s 1.94s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  124 (  14 unt;   2 def)
%            Number of atoms       :  314 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  313 ( 123   ~; 130   |;  38   &)
%                                         (   2 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   3 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :  553 (   0 sgn 537   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD5) ).

fof(f6,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( para(X0,X1,X2,X3)
        & para(X2,X3,X4,X5) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD6) ).

fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD8) ).

fof(f9,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perp(X0,X1,X2,X3)
        & perp(X2,X3,X4,X5) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).

fof(f14,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD14) ).

fof(f15,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD15) ).

fof(f17,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( cyclic(X0,X1,X2,X3)
        & cyclic(X0,X1,X2,X4) )
     => cyclic(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD17) ).

fof(f18,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD18) ).

fof(f19,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).

fof(f21,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD21) ).

fof(f22,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
        & eqangle(X4,X5,X6,X7,X8,X9,X10,X11) )
     => eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD22) ).

fof(f39,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
     => para(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).

fof(f40,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
     => eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).

fof(f41,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD41) ).

fof(f42,axiom,
    ! [X0,X1,X2,X3] :
      ( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
        & ~ coll(X2,X3,X0) )
     => cyclic(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42a) ).

fof(f43,axiom,
    ! [X0,X1,X2,X3] :
      ( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
        & coll(X2,X3,X1) )
     => cyclic(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42b) ).

fof(f44,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( cyclic(X0,X1,X2,X3)
        & cyclic(X0,X1,X2,X4)
        & cyclic(X0,X1,X2,X5)
        & eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
     => cong(X0,X1,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).

fof(f57,axiom,
    ! [X0,X1,X2,X3] :
      ( ( cong(X0,X2,X1,X2)
        & cong(X0,X3,X1,X3) )
     => perp(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( circle(X3,X0,X1,X2)
        & circle(X3,X0,X4,X7)
        & coll(X5,X0,X1)
        & coll(X5,X2,X4)
        & para(X0,X4,X6,X5)
        & coll(X6,X1,X2) )
     => eqangle(X6,X5,X5,X1,X5,X2,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416058) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
        ( ( circle(X3,X0,X1,X2)
          & circle(X3,X0,X4,X7)
          & coll(X5,X0,X1)
          & coll(X5,X2,X4)
          & para(X0,X4,X6,X5)
          & coll(X6,X1,X2) )
       => eqangle(X6,X5,X5,X1,X5,X2,X2,X1) ),
    inference(negated_conjecture,[status(cth)],[f95]) ).

fof(f98,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ eqangle(X6,X5,X5,X1,X5,X2,X2,X1)
      & circle(X3,X0,X1,X2)
      & circle(X3,X0,X4,X7)
      & coll(X5,X0,X1)
      & coll(X5,X2,X4)
      & para(X0,X4,X6,X5)
      & coll(X6,X1,X2) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f99,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ eqangle(X6,X5,X5,X1,X5,X2,X2,X1)
      & circle(X3,X0,X1,X2)
      & circle(X3,X0,X4,X7)
      & coll(X5,X0,X1)
      & coll(X5,X2,X4)
      & para(X0,X4,X6,X5)
      & coll(X6,X1,X2) ),
    inference(flattening,[],[f98]) ).

fof(f113,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f114,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f117,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f118,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(flattening,[],[f117]) ).

fof(f119,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | ~ para(X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f120,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | ~ para(X2,X3,X4,X5) ),
    inference(flattening,[],[f119]) ).

fof(f121,plain,
    ! [X0,X1,X2,X3] :
      ( para(X2,X3,X0,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f140,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f141,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
    inference(flattening,[],[f140]) ).

fof(f142,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f144,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f145,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f156,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f164,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f165,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
    inference(flattening,[],[f164]) ).

fof(f166,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ coll(X2,X3,X1) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f167,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ coll(X2,X3,X1) ),
    inference(flattening,[],[f166]) ).

fof(f168,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | coll(X2,X3,X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f169,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | coll(X2,X3,X0) ),
    inference(flattening,[],[f168]) ).

fof(f170,plain,
    ! [X0,X1,X2,X3] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f171,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f172,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4) ),
    inference(flattening,[],[f171]) ).

fof(f174,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X2,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f175,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X3,X2)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f211,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f212,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3) ),
    inference(flattening,[],[f211]) ).

fof(f220,plain,
    ( ~ eqangle(sK6,sK5,sK5,sK1,sK5,sK2,sK2,sK1)
    & circle(sK3,sK0,sK1,sK2)
    & circle(sK3,sK0,sK4,sK7)
    & coll(sK5,sK0,sK1)
    & coll(sK5,sK2,sK4)
    & para(sK0,sK4,sK6,sK5)
    & coll(sK6,sK1,sK2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7)],[f99]) ).

fof(f240,plain,
    para(sK0,sK4,sK6,sK5),
    inference(cnf_transformation,[],[f220]) ).

fof(f245,plain,
    ~ eqangle(sK6,sK5,sK5,sK1,sK5,sK2,sK2,sK1),
    inference(cnf_transformation,[],[f220]) ).

fof(f255,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f256,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f258,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f259,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f260,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X2,X3)
      | para(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f271,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f272,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f274,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f275,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f287,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f293,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | cong(X0,X1,X3,X4)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f294,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f295,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3)
      | coll(X2,X3,X0) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f296,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f297,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f299,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f300,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f328,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f212]) ).

fof(f346,plain,
    ! [X0,X1] :
      ( ~ para(X0,X1,sK0,sK4)
      | para(X0,X1,sK6,sK5) ),
    inference(resolution,[],[f259,f240]) ).

fof(f348,plain,
    para(sK6,sK5,sK0,sK4),
    inference(resolution,[],[f260,f240]) ).

fof(f349,plain,
    para(sK6,sK5,sK6,sK5),
    inference(resolution,[],[f348,f346]) ).

fof(f355,plain,
    ! [X0,X1] : eqangle(sK6,sK5,X0,X1,sK6,sK5,X0,X1),
    inference(resolution,[],[f349,f255]) ).

fof(f357,plain,
    ! [X0,X1] : eqangle(X0,X1,sK6,sK5,X0,X1,sK6,sK5),
    inference(resolution,[],[f355,f274]) ).

fof(f428,plain,
    ! [X0,X1] : para(X0,X1,X0,X1),
    inference(resolution,[],[f357,f256]) ).

fof(f434,plain,
    ! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X0,X1,X2,X3),
    inference(resolution,[],[f428,f255]) ).

fof(f437,plain,
    ! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X1,X0,X2,X3),
    inference(resolution,[],[f434,f275]) ).

fof(f443,plain,
    ! [X2,X0,X1] :
      ( cyclic(X0,X1,X2,X2)
      | coll(X2,X2,X0) ),
    inference(resolution,[],[f434,f295]) ).

fof(f467,plain,
    ! [X2,X0,X1] :
      ( cyclic(X1,X0,X2,X0)
      | coll(X0,X0,X1) ),
    inference(resolution,[],[f443,f299]) ).

fof(f472,plain,
    ! [X2,X0,X1] :
      ( cyclic(X1,X0,X0,X2)
      | coll(X0,X0,X1) ),
    inference(resolution,[],[f467,f300]) ).

fof(f482,plain,
    ! [X2,X3,X0,X1] :
      ( coll(X0,X0,X1)
      | ~ cyclic(X1,X0,X0,X2)
      | cyclic(X0,X0,X2,X3) ),
    inference(resolution,[],[f472,f297]) ).

fof(f485,plain,
    ! [X2,X3,X0,X1] :
      ( coll(X0,X0,X1)
      | cyclic(X0,X0,X2,X3) ),
    inference(forward_subsumption_resolution,[],[f482,f472]) ).

fof(f492,plain,
    ! [X2,X3,X0,X1,X4] :
      ( coll(X0,X0,X1)
      | ~ cyclic(X0,X0,X2,X3)
      | cyclic(X0,X2,X3,X4) ),
    inference(resolution,[],[f485,f297]) ).

fof(f495,plain,
    ! [X2,X3,X0,X1,X4] :
      ( coll(X0,X0,X1)
      | cyclic(X0,X2,X3,X4) ),
    inference(forward_subsumption_resolution,[],[f492,f485]) ).

fof(f498,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X0,X4,X0,X5,X0,X4,X0,X5)
      | cyclic(X4,X5,X0,X0) ),
    inference(resolution,[],[f495,f294]) ).

fof(f507,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( cyclic(X0,X1,X2,X3)
      | cyclic(X4,X5,X0,X0) ),
    inference(forward_subsumption_resolution,[],[f498,f434]) ).

fof(f510,definition,
    ( spl26_5
  <=> ! [X4,X5,X2,X3] : cyclic(X2,X3,X4,X5) ),
    introduced(definition,[new_symbols(definition,[spl26_5])],[avatar_definition]) ).

fof(f511,plain,
    ( ! [X2,X3,X4,X5] : cyclic(X2,X3,X4,X5)
    | ~ spl26_5 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f519,plain,
    ( ! [X2,X3,X0,X1] : eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
    | ~ spl26_5 ),
    inference(resolution,[],[f511,f296]) ).

fof(f521,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ cyclic(X0,X1,X2,X3)
        | ~ cyclic(X0,X1,X2,X4)
        | cong(X0,X1,X3,X4)
        | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
    | ~ spl26_5 ),
    inference(resolution,[],[f511,f293]) ).

fof(f522,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ cyclic(X0,X1,X2,X3)
        | cong(X0,X1,X3,X4)
        | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
    | ~ spl26_5 ),
    inference(forward_subsumption_resolution,[],[f521,f511]) ).

fof(f523,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
        | cong(X0,X1,X3,X4) )
    | ~ spl26_5 ),
    inference(forward_subsumption_resolution,[],[f522,f511]) ).

fof(f524,plain,
    ( ! [X2,X3,X0,X1] : eqangle(X0,X1,X1,X2,X3,X0,X3,X2)
    | ~ spl26_5 ),
    inference(resolution,[],[f519,f275]) ).

fof(f527,plain,
    ( ! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X1,X0,X3,X2,X3)
    | ~ spl26_5 ),
    inference(resolution,[],[f519,f272]) ).

fof(f549,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( cyclic(X0,X1,X2,X2)
      | ~ cyclic(X2,X3,X4,X5)
      | cyclic(X3,X4,X5,X6) ),
    inference(resolution,[],[f507,f297]) ).

fof(f559,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( cyclic(X0,X1,X2,X2)
      | cyclic(X3,X4,X5,X6) ),
    inference(forward_subsumption_resolution,[],[f549,f507]) ).

fof(f597,plain,
    ( ! [X0,X1] : cong(X0,X1,X0,X1)
    | ~ spl26_5 ),
    inference(resolution,[],[f523,f437]) ).

fof(f598,plain,
    ( ! [X0,X1] : cong(X0,X0,X1,X1)
    | ~ spl26_5 ),
    inference(resolution,[],[f523,f527]) ).

fof(f600,plain,
    ( ! [X0,X1] :
        ( ~ cong(X0,X1,X0,X1)
        | perp(X0,X0,X1,X0) )
    | ~ spl26_5 ),
    inference(resolution,[],[f598,f328]) ).

fof(f602,plain,
    ( ! [X0,X1] : perp(X0,X0,X1,X0)
    | ~ spl26_5 ),
    inference(forward_subsumption_resolution,[],[f600,f597]) ).

fof(f606,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ perp(X0,X1,X2,X2)
        | para(X0,X1,X3,X2) )
    | ~ spl26_5 ),
    inference(resolution,[],[f602,f258]) ).

fof(f621,plain,
    ( ! [X2,X0,X1] :
        ( ~ cong(X0,X1,X0,X1)
        | perp(X0,X0,X1,X2) )
    | ~ spl26_5 ),
    inference(resolution,[],[f597,f328]) ).

fof(f623,plain,
    ( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
    | ~ spl26_5 ),
    inference(forward_subsumption_resolution,[],[f621,f597]) ).

fof(f626,plain,
    ( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
    | ~ spl26_5 ),
    inference(resolution,[],[f623,f287]) ).

fof(f652,plain,
    ( ! [X2,X3,X0,X1] : para(X0,X1,X2,X3)
    | ~ spl26_5 ),
    inference(resolution,[],[f606,f626]) ).

fof(f657,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
    | ~ spl26_5 ),
    inference(resolution,[],[f652,f255]) ).

fof(f661,plain,
    ( $false
    | ~ spl26_5 ),
    inference(unit_resulting_resolution,[],[f271,f245,f524,f657]) ).

fof(f670,plain,
    ~ spl26_5,
    inference(avatar_contradiction_clause,[],[f661]) ).

fof(f672,definition,
    ( spl26_7
  <=> ! [X2,X0,X1] : cyclic(X0,X1,X2,X2) ),
    introduced(definition,[new_symbols(definition,[spl26_7])],[avatar_definition]) ).

fof(f673,plain,
    ( ! [X2,X0,X1] : cyclic(X0,X1,X2,X2)
    | ~ spl26_7 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f674,plain,
    ( spl26_5
    | spl26_7 ),
    inference(avatar_split_clause,[],[f559,f672,f510]) ).

fof(f676,plain,
    ( ! [X2,X0,X1] : cyclic(X0,X1,X2,X1)
    | ~ spl26_7 ),
    inference(resolution,[],[f673,f299]) ).

fof(f689,plain,
    ( ! [X2,X0,X1] : cyclic(X0,X1,X1,X2)
    | ~ spl26_7 ),
    inference(resolution,[],[f676,f300]) ).

fof(f699,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ cyclic(X0,X1,X1,X2)
        | cyclic(X1,X1,X2,X3) )
    | ~ spl26_7 ),
    inference(resolution,[],[f689,f297]) ).

fof(f702,plain,
    ( ! [X2,X3,X1] : cyclic(X1,X1,X2,X3)
    | ~ spl26_7 ),
    inference(forward_subsumption_resolution,[],[f699,f689]) ).

fof(f708,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ cyclic(X0,X0,X1,X2)
        | cyclic(X0,X1,X2,X3) )
    | ~ spl26_7 ),
    inference(resolution,[],[f702,f297]) ).

fof(f711,plain,
    ( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
    | ~ spl26_7 ),
    inference(forward_subsumption_resolution,[],[f708,f702]) ).

fof(f713,plain,
    ( spl26_5
    | ~ spl26_7 ),
    inference(avatar_split_clause,[],[f711,f672,f510]) ).

cnf(s4,plain,
    ~ spl26_5,
    inference(sat_conversion,[],[f670]) ).

cnf(s5,plain,
    ( spl26_5
    | spl26_7 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s6,plain,
    ( spl26_5
    | ~ spl26_7 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s7,plain,
    ~ spl26_7,
    inference(rat,[],[s6,s4]) ).

cnf(s8,plain,
    $false,
    inference(rat,[],[s5,s7,s4]) ).

fof(f714,plain,
    $false,
    inference(avatar_sat_refutation,[],[s8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO596+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n026.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 08:38:56 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  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
% 6.54/1.94  % (2532807)Detected formulas, will run a generic FOF schedule.
% 6.54/1.94  % (2532814)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=2246429552:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.54/1.94  % (2532813)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=2841197464:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.54/1.94  % (2532812)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=2517619719:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.54/1.94  % (2532815)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=66797476:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.54/1.94  % (2532818)dis-21_1_sil=8000:lcm=predicate:random_seed=2571315085: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)
% 6.54/1.94  % (2532816)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=605579699:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.54/1.94  % (2532817)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1142736972:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.54/1.94  % (2532815)Instruction limit reached! 
% 6.54/1.94  % (2532815)------------------------------
% 6.54/1.94  % (2532815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.94  % (2532815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.94  % (2532815)CaDiCaL version: 2.1.3
% 6.54/1.94  % (2532815)Termination reason: Instruction limit
% 6.54/1.94  % (2532815)Termination phase: Saturation
% 6.54/1.94  % (2532815)Time elapsed: 0.066 s
% 6.54/1.94  % (2532815)Peak memory usage: 89 MB
% 6.54/1.94  % (2532815)Instructions burned: 109 (million)
% 6.54/1.94  % (2532816)Instruction limit reached! 
% 6.54/1.94  % (2532816)------------------------------
% 6.54/1.94  % (2532816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.94  % (2532816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.94  % (2532816)CaDiCaL version: 2.1.3
% 6.54/1.94  % (2532816)Termination reason: Instruction limit
% 6.54/1.94  % (2532816)Termination phase: Saturation
% 6.54/1.94  % (2532816)Time elapsed: 0.069 s
% 6.54/1.94  % (2532816)Peak memory usage: 88 MB
% 6.54/1.94  % (2532816)Instructions burned: 119 (million)
% 6.54/1.94  % (2532818)Instruction limit reached! 
% 6.54/1.94  % (2532818)------------------------------
% 6.54/1.94  % (2532818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.94  % (2532818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.94  % (2532818)CaDiCaL version: 2.1.3
% 6.54/1.94  % (2532818)Termination reason: Instruction limit
% 6.54/1.94  % (2532818)Termination phase: Saturation
% 6.54/1.94  % (2532818)Time elapsed: 0.077 s
% 6.54/1.94  % (2532818)Peak memory usage: 89 MB
% 6.54/1.94  % (2532818)Instructions burned: 130 (million)
% 6.54/1.94  % (2532817)Instruction limit reached! 
% 6.54/1.94  % (2532817)------------------------------
% 6.54/1.94  % (2532817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.94  % (2532817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.94  % (2532817)CaDiCaL version: 2.1.3
% 6.54/1.94  % (2532817)Termination reason: Instruction limit
% 6.54/1.94  % (2532817)Termination phase: Saturation
% 6.54/1.94  % (2532817)Time elapsed: 0.090 s
% 6.54/1.94  % (2532817)Peak memory usage: 90 MB
% 6.54/1.94  % (2532817)Instructions burned: 140 (million)
% 6.54/1.94  % (2532827)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1182477387:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.54/1.94  % (2532826)lrs+10_1_sil=8000:sp=occurrence:random_seed=2453305806:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.54/1.94  % (2532828)lrs+1011_1_sil=32000:sp=occurrence:random_seed=574914157:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.54/1.94  % (2532829)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=3261856427:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.54/1.94  % (2532827)Instruction limit reached! 
% 6.54/1.94  % (2532827)------------------------------
% 6.54/1.94  % (2532827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.94  % (2532827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.94  % (2532827)CaDiCaL version: 2.1.3
% 6.54/1.94  % (2532827)Termination reason: Instruction limit
% 6.54/1.94  % (2532827)Termination phase: Saturation
% 6.54/1.94  % (2532827)Time elapsed: 0.082 s
% 6.54/1.94  % (2532827)Peak memory usage: 89 MB
% 6.54/1.94  % (2532827)Instructions burned: 157 (million)
% 6.54/1.94  % (2532829)Instruction limit reached! 
% 6.54/1.94  % (2532829)------------------------------
% 6.54/1.94  % (2532829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.94  % (2532829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.94  % (2532829)CaDiCaL version: 2.1.3
% 6.54/1.94  % (2532829)Termination reason: Instruction limit
% 6.54/1.94  % (2532829)Termination phase: Saturation
% 6.54/1.94  % (2532829)Time elapsed: 0.133 s
% 6.54/1.94  % (2532829)Peak memory usage: 90 MB
% 6.54/1.94  % (2532829)Instructions burned: 249 (million)
% 6.54/1.94  % (2532826)Instruction limit reached! 
% 6.54/1.94  % (2532826)------------------------------
% 6.54/1.94  % (2532826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.94  % (2532826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.94  % (2532826)CaDiCaL version: 2.1.3
% 6.54/1.94  % (2532826)Termination reason: Instruction limit
% 6.54/1.94  % (2532826)Termination phase: Saturation
% 6.54/1.94  % (2532826)Time elapsed: 0.182 s
% 6.54/1.94  % (2532826)Peak memory usage: 92 MB
% 6.54/1.94  % (2532826)Instructions burned: 286 (million)
% 6.54/1.94  % (2532828)Instruction limit reached! 
% 6.54/1.94  % (2532828)------------------------------
% 6.54/1.94  % (2532828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.94  % (2532828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.94  % (2532828)CaDiCaL version: 2.1.3
% 6.54/1.94  % (2532828)Termination reason: Instruction limit
% 6.54/1.94  % (2532828)Termination phase: Saturation
% 6.54/1.94  % (2532828)Time elapsed: 0.199 s
% 6.54/1.94  % (2532828)Peak memory usage: 91 MB
% 6.54/1.94  % (2532828)Instructions burned: 326 (million)
% 6.54/1.94  % (2532834)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2805969782:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.54/1.94  % (2532835)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3201683930:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.54/1.94  % (2532836)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3360397590:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.54/1.94  % (2532837)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1740191355:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.54/1.94  % (2532834)Instruction limit reached! 
% 6.54/1.94  % (2532834)------------------------------
% 6.54/1.94  % (2532834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.94  % (2532834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.94  % (2532834)CaDiCaL version: 2.1.3
% 6.54/1.94  % (2532834)Termination reason: Instruction limit
% 6.54/1.94  % (2532834)Termination phase: Saturation
% 6.54/1.94  % (2532834)Time elapsed: 0.163 s
% 6.54/1.94  % (2532834)Peak memory usage: 89 MB
% 6.54/1.94  % (2532834)Instructions burned: 294 (million)
% 6.54/1.94  % (2532836)Instruction limit reached! 
% 6.54/1.94  % (2532836)------------------------------
% 6.54/1.94  % (2532836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.94  % (2532836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.94  % (2532836)CaDiCaL version: 2.1.3
% 6.54/1.94  % (2532836)Termination reason: Instruction limit
% 6.54/1.94  % (2532836)Termination phase: Saturation
% 6.54/1.94  % (2532836)Time elapsed: 0.064 s
% 6.54/1.94  % (2532836)Peak memory usage: 89 MB
% 6.54/1.94  % (2532836)Instructions burned: 114 (million)
% 6.54/1.94  % (2532837)Instruction limit reached! 
% 6.54/1.94  % (2532837)------------------------------
% 6.54/1.94  % (2532837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.94  % (2532837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.94  % (2532837)CaDiCaL version: 2.1.3
% 6.54/1.94  % (2532837)Termination reason: Instruction limit
% 6.54/1.94  % (2532837)Termination phase: Saturation
% 6.54/1.94  % (2532837)Time elapsed: 0.069 s
% 6.54/1.94  % (2532837)Peak memory usage: 89 MB
% 6.54/1.94  % (2532837)Instructions burned: 127 (million)
% 6.54/1.94  % (2532813)First to succeed.
% 6.54/1.94  % (2532813)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2532807"
% 6.54/1.94  % (2532812)Also succeeded, but the first one will report.
% 6.54/1.94  % (2532842)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4204026732:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.54/1.94  % (2532844)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=330269973:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.54/1.94  % (2532843)lrs+10_1_sil=8000:sp=occurrence:random_seed=2349844186:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.54/1.94  % (2532842)Instruction limit reached! 
% 6.54/1.94  % (2532842)------------------------------
% 6.54/1.94  % (2532842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.94  % (2532842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.94  % (2532842)CaDiCaL version: 2.1.3
% 6.54/1.94  % (2532842)Termination reason: Instruction limit
% 6.54/1.94  % (2532842)Termination phase: Saturation
% 6.54/1.94  % (2532842)Time elapsed: 0.062 s
% 6.54/1.94  % (2532842)Peak memory usage: 90 MB
% 6.54/1.94  % (2532842)Instructions burned: 115 (million)
% 6.54/1.94  % (2532848)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2754401866:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.54/1.94  % (2532813)Refutation found. Thanks to Tanya!
% 6.54/1.94  % SZS status Theorem for theBenchmark
% 6.54/1.94  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/2.14  % (2532813)------------------------------
% 0.15/2.14  % (2532813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/2.14  % (2532813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/2.14  % (2532813)CaDiCaL version: 2.1.3
% 0.15/2.14  % (2532813)Termination reason: Refutation
% 0.15/2.14  % (2532813)Time elapsed: 0.688 s
% 0.15/2.14  % (2532813)Peak memory usage: 130 MB
% 0.15/2.14  % (2532813)Instructions burned: 1030 (million)
% 0.15/2.14  % (2532813)------------------------------
% 0.15/2.14  % (2532813)------------------------------
% 0.15/2.14  % (2532807)Success in time 1.085 s
% 0.15/2.14  % Vampire exiting
%------------------------------------------------------------------------------