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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO595+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% 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 09:54:49 AM UTC 2026

% Result   : Theorem 5.07s 1.19s
% Output   : Refutation 5.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  103 (  23 unt;   3 def)
%            Number of atoms       :  230 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  200 (  73   ~;  76   |;  34   &)
%                                         (   3 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   4 prp; 0-8 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :  318 (   0 sgn 296   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

fof(f14,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).

fof(f15,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).

fof(f16,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X1,X0,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ( perp(X3,X0,X1,X2)
        & coll(X3,X1,X2)
        & midp(X4,X0,X3)
        & circle(X4,X3,X7,X8)
        & coll(X5,X0,X1)
        & circle(X4,X3,X5,X9)
        & coll(X6,X0,X2)
        & circle(X4,X3,X6,X10) )
     => cyclic(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416057) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
        ( ( perp(X3,X0,X1,X2)
          & coll(X3,X1,X2)
          & midp(X4,X0,X3)
          & circle(X4,X3,X7,X8)
          & coll(X5,X0,X1)
          & circle(X4,X3,X5,X9)
          & coll(X6,X0,X2)
          & circle(X4,X3,X6,X10) )
       => cyclic(X1,X2,X5,X6) ),
    inference(negated_conjecture,[status(cth)],[f95]) ).

fof(f107,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f108,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(f109,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(flattening,[],[f108]) ).

fof(f117,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X3,X2)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f118,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X2,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f119,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X1,X0,X2,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f120,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(f121,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4) ),
    inference(flattening,[],[f120]) ).

fof(f123,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(f125,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(f148,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(f149,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(f151,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(f152,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,[],[f151]) ).

fof(f153,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(f154,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,[],[f153]) ).

fof(f249,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ cyclic(X1,X2,X5,X6)
      & perp(X3,X0,X1,X2)
      & coll(X3,X1,X2)
      & midp(X4,X0,X3)
      & circle(X4,X3,X7,X8)
      & coll(X5,X0,X1)
      & circle(X4,X3,X5,X9)
      & coll(X6,X0,X2)
      & circle(X4,X3,X6,X10) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f250,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ cyclic(X1,X2,X5,X6)
      & perp(X3,X0,X1,X2)
      & coll(X3,X1,X2)
      & midp(X4,X0,X3)
      & circle(X4,X3,X7,X8)
      & coll(X5,X0,X1)
      & circle(X4,X3,X5,X9)
      & coll(X6,X0,X2)
      & circle(X4,X3,X6,X10) ),
    inference(flattening,[],[f249]) ).

fof(f258,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f259,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,[],[f109]) ).

fof(f264,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f265,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f266,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X0,X2,X3) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f267,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f269,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,[],[f123]) ).

fof(f271,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,[],[f125]) ).

fof(f289,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f290,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f292,plain,
    ! [X2,X3,X0,X1] :
      ( coll(X2,X3,X0)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f293,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,[],[f154]) ).

fof(f371,plain,
    perp(sK23,sK20,sK21,sK22),
    inference(cnf_transformation,[],[f250]) ).

fof(f372,plain,
    ~ cyclic(sK21,sK22,sK25,sK26),
    inference(cnf_transformation,[],[f250]) ).

fof(f379,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X3,X2)
      | cyclic(X0,X1,X2,X3) ),
    inference(consistent_polarity_flipping,[],[f264]) ).

fof(f380,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X2,X1,X3)
      | cyclic(X0,X1,X2,X3) ),
    inference(consistent_polarity_flipping,[],[f265]) ).

fof(f381,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X1,X0,X2,X3)
      | cyclic(X0,X1,X2,X3) ),
    inference(consistent_polarity_flipping,[],[f266]) ).

fof(f382,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X1,X2,X3,X4)
      | cyclic(X0,X1,X2,X3)
      | cyclic(X0,X1,X2,X4) ),
    inference(consistent_polarity_flipping,[],[f267]) ).

fof(f393,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ coll(X2,X3,X0)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(consistent_polarity_flipping,[],[f292]) ).

fof(f394,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | coll(X2,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(consistent_polarity_flipping,[],[f293]) ).

fof(f452,plain,
    cyclic(sK21,sK22,sK25,sK26),
    inference(consistent_polarity_flipping,[],[f372]) ).

fof(f461,plain,
    perp(sK21,sK22,sK23,sK20),
    inference(resolution,[],[f258,f371]) ).

fof(f478,plain,
    cyclic(sK21,sK25,sK22,sK26),
    inference(resolution,[],[f380,f452]) ).

fof(f481,plain,
    cyclic(sK21,sK25,sK26,sK22),
    inference(resolution,[],[f478,f379]) ).

fof(f488,plain,
    cyclic(sK22,sK21,sK25,sK26),
    inference(resolution,[],[f381,f452]) ).

fof(f495,plain,
    cyclic(sK22,sK25,sK21,sK26),
    inference(resolution,[],[f488,f380]) ).

fof(f505,plain,
    cyclic(sK22,sK25,sK26,sK21),
    inference(resolution,[],[f495,f379]) ).

fof(f1033,plain,
    ! [X0] :
      ( cyclic(X0,sK21,sK25,sK22)
      | cyclic(X0,sK21,sK25,sK26) ),
    inference(resolution,[],[f382,f481]) ).

fof(f1039,plain,
    ! [X0] :
      ( cyclic(X0,sK22,sK25,sK21)
      | cyclic(X0,sK22,sK25,sK26) ),
    inference(resolution,[],[f382,f505]) ).

fof(f1067,plain,
    ! [X0] :
      ( cyclic(X0,sK21,sK25,sK26)
      | cyclic(sK21,X0,sK25,sK22) ),
    inference(resolution,[],[f1033,f381]) ).

fof(f1095,plain,
    ! [X0] :
      ( cyclic(X0,sK22,sK25,sK26)
      | cyclic(sK22,X0,sK25,sK21) ),
    inference(resolution,[],[f1039,f381]) ).

fof(f1104,plain,
    ! [X0] :
      ( cyclic(sK21,X0,sK25,sK22)
      | cyclic(X0,sK25,sK21,sK26) ),
    inference(resolution,[],[f1067,f380]) ).

fof(f1295,plain,
    ! [X0] :
      ( cyclic(sK22,X0,sK25,sK21)
      | cyclic(X0,sK25,sK22,sK26) ),
    inference(resolution,[],[f1095,f380]) ).

fof(f1340,plain,
    ! [X0] :
      ( cyclic(X0,sK25,sK21,sK26)
      | cyclic(sK21,X0,sK22,sK25) ),
    inference(resolution,[],[f1104,f379]) ).

fof(f1830,plain,
    ! [X0] :
      ( cyclic(X0,sK25,sK22,sK26)
      | cyclic(sK22,X0,sK21,sK25) ),
    inference(resolution,[],[f1295,f379]) ).

fof(f1972,plain,
    ! [X0] :
      ( cyclic(X0,sK25,sK21,sK26)
      | cyclic(sK21,sK22,X0,sK25) ),
    inference(resolution,[],[f1340,f380]) ).

fof(f3091,plain,
    ! [X0] :
      ( cyclic(X0,sK25,sK22,sK26)
      | cyclic(sK22,sK21,X0,sK25) ),
    inference(resolution,[],[f1830,f380]) ).

fof(f5864,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK23,sK20)
      | para(X0,X1,sK21,sK22) ),
    inference(resolution,[],[f259,f371]) ).

fof(f6032,plain,
    para(sK21,sK22,sK21,sK22),
    inference(resolution,[],[f5864,f461]) ).

fof(f6038,plain,
    ! [X0,X1] : eqangle(sK21,sK22,X0,X1,sK21,sK22,X0,X1),
    inference(resolution,[],[f6032,f290]) ).

fof(f7006,plain,
    ! [X0,X1] : eqangle(X0,X1,sK21,sK22,X0,X1,sK21,sK22),
    inference(resolution,[],[f269,f6038]) ).

fof(f7012,plain,
    ! [X0,X1] : para(X0,X1,X0,X1),
    inference(resolution,[],[f7006,f289]) ).

fof(f7044,plain,
    ! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X0,X1,X2,X3),
    inference(resolution,[],[f7012,f290]) ).

fof(f7141,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X2,X1,X0,X0)
      | coll(X0,X0,X1) ),
    inference(resolution,[],[f7044,f394]) ).

fof(f7142,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X1,X2,X0,X0)
      | ~ coll(X0,X0,X1) ),
    inference(resolution,[],[f7044,f393]) ).

fof(f7148,plain,
    ! [X2,X3,X0,X1] : eqangle(X0,X1,X0,X1,X2,X3,X2,X3),
    inference(resolution,[],[f271,f7044]) ).

fof(f7281,plain,
    ( coll(sK25,sK25,sK22)
    | cyclic(sK25,sK25,sK21,sK26) ),
    inference(resolution,[],[f7141,f1972]) ).

fof(f7477,definition,
    ( spl31_110
  <=> cyclic(sK25,sK25,sK22,sK26) ),
    introduced(definition,[new_symbols(definition,[spl31_110])],[avatar_definition]) ).

fof(f7479,plain,
    ( cyclic(sK25,sK25,sK22,sK26)
    | ~ spl31_110 ),
    inference(avatar_component_clause,[],[f7477]) ).

fof(f7541,definition,
    ( spl31_123
  <=> coll(sK25,sK25,sK22) ),
    introduced(definition,[new_symbols(definition,[spl31_123])],[avatar_definition]) ).

fof(f7543,plain,
    ( coll(sK25,sK25,sK22)
    | ~ spl31_123 ),
    inference(avatar_component_clause,[],[f7541]) ).

fof(f7553,definition,
    ( spl31_125
  <=> cyclic(sK25,sK25,sK21,sK26) ),
    introduced(definition,[new_symbols(definition,[spl31_125])],[avatar_definition]) ).

fof(f7555,plain,
    ( cyclic(sK25,sK25,sK21,sK26)
    | ~ spl31_125 ),
    inference(avatar_component_clause,[],[f7553]) ).

fof(f7556,plain,
    ( spl31_125
    | spl31_123 ),
    inference(avatar_split_clause,[],[f7281,f7541,f7553]) ).

fof(f7699,plain,
    ( ~ coll(sK25,sK25,sK22)
    | cyclic(sK25,sK25,sK22,sK26) ),
    inference(resolution,[],[f7142,f3091]) ).

fof(f7745,plain,
    ( cyclic(sK25,sK25,sK22,sK26)
    | ~ spl31_123 ),
    inference(forward_subsumption_resolution,[],[f7699,f7543]) ).

fof(f7774,plain,
    ( spl31_110
    | ~ spl31_123 ),
    inference(avatar_split_clause,[],[f7745,f7541,f7477]) ).

fof(f7803,plain,
    ! [X2,X0,X1] :
      ( coll(X0,X1,X2)
      | ~ cyclic(X2,X2,X0,X1) ),
    inference(resolution,[],[f7148,f394]) ).

fof(f7804,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | ~ cyclic(X2,X2,X0,X1) ),
    inference(resolution,[],[f7148,f393]) ).

fof(f7810,plain,
    ! [X2,X0,X1] : ~ cyclic(X2,X2,X0,X1),
    inference(forward_subsumption_resolution,[],[f7803,f7804]) ).

fof(f7827,plain,
    ( $false
    | ~ spl31_110 ),
    inference(backward_subsumption_resolution,[],[f7479,f7810]) ).

fof(f7829,plain,
    ( $false
    | ~ spl31_125 ),
    inference(backward_subsumption_resolution,[],[f7555,f7810]) ).

fof(f7833,plain,
    ~ spl31_110,
    inference(avatar_contradiction_clause,[],[f7827]) ).

fof(f7835,plain,
    ~ spl31_125,
    inference(avatar_contradiction_clause,[],[f7829]) ).

cnf(s106,plain,
    ( spl31_123
    | spl31_125 ),
    inference(sat_conversion,[],[f7556]) ).

cnf(s121,plain,
    ( spl31_110
    | ~ spl31_123 ),
    inference(sat_conversion,[],[f7774]) ).

cnf(s147,plain,
    ~ spl31_110,
    inference(sat_conversion,[],[f7833]) ).

cnf(s149,plain,
    ~ spl31_125,
    inference(sat_conversion,[],[f7835]) ).

cnf(s154,plain,
    ~ spl31_123,
    inference(rat,[],[s121,s147]) ).

cnf(s160,plain,
    $false,
    inference(rat,[],[s106,s149,s154]) ).

fof(f7838,plain,
    $false,
    inference(avatar_sat_refutation,[],[s160]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO595+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 08:35:46 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40  Running first-order model finding
% 0.11/0.40  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
% 5.07/1.19  % (2097932)Will run a generic schedule for satisfiability detection.
% 5.07/1.19  % (2097938)% WARNING: option uhcvi not known.
% 5.07/1.19  % (2097938)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2531000826:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.07/1.19  % (2097941)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2884858671:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.07/1.19  % (2097943)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1055720562:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.07/1.19  % (2097940)dis+10_1_sil=32000:sp=arity:random_seed=2747297229:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.07/1.19  % (2097937)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3545593111_2999 on theBenchmark for (2999ds/0Mi)
% 5.07/1.19  % (2097939)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2250724577:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.07/1.19  % (2097942)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1411502544:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.07/1.19  % TRYING [1]
% 5.07/1.19  % TRYING [2]
% 5.07/1.19  % TRYING [3]
% 5.07/1.19  % (2097940)Instruction limit reached! 
% 5.07/1.19  % (2097940)------------------------------
% 5.07/1.19  % (2097940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.19  % (2097940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.19  % (2097940)CaDiCaL version: 2.1.3
% 5.07/1.19  % (2097940)Termination reason: Instruction limit
% 5.07/1.19  % (2097940)Termination phase: Saturation
% 5.07/1.19  % (2097940)Time elapsed: 0.068 s
% 5.07/1.19  % (2097940)Peak memory usage: 12 MB
% 5.07/1.19  % (2097940)Instructions burned: 104 (million)
% 5.07/1.19  % (2097941)Instruction limit reached! 
% 5.07/1.19  % (2097941)------------------------------
% 5.07/1.19  % (2097941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.19  % (2097941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.19  % (2097941)CaDiCaL version: 2.1.3
% 5.07/1.19  % (2097941)Termination reason: Instruction limit
% 5.07/1.19  % (2097941)Termination phase: Saturation
% 5.07/1.19  % (2097941)Time elapsed: 0.071 s
% 5.07/1.19  % (2097941)Peak memory usage: 13 MB
% 5.07/1.19  % (2097941)Instructions burned: 116 (million)
% 5.07/1.19  % (2097942)Instruction limit reached! 
% 5.07/1.19  % (2097942)------------------------------
% 5.07/1.19  % (2097942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.19  % (2097942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.19  % (2097942)CaDiCaL version: 2.1.3
% 5.07/1.19  % (2097942)Termination reason: Instruction limit
% 5.07/1.19  % (2097942)Termination phase: Saturation
% 5.07/1.19  % (2097942)Time elapsed: 0.084 s
% 5.07/1.19  % (2097942)Peak memory usage: 14 MB
% 5.07/1.19  % (2097942)Instructions burned: 131 (million)
% 5.07/1.19  % (2097951)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2661066905:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 5.07/1.19  % (2097952)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3839211621:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.07/1.19  % TRYING [1]
% 5.07/1.19  % TRYING [2]
% 5.07/1.19  % (2097943)Instruction limit reached! 
% 5.07/1.19  % (2097943)------------------------------
% 5.07/1.19  % (2097943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.19  % (2097943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.19  % (2097943)CaDiCaL version: 2.1.3
% 5.07/1.19  % (2097943)Termination reason: Instruction limit
% 5.07/1.19  % (2097943)Termination phase: Saturation
% 5.07/1.19  % (2097943)Time elapsed: 0.104 s
% 5.07/1.19  % (2097943)Peak memory usage: 13 MB
% 5.07/1.19  % (2097943)Instructions burned: 159 (million)
% 5.07/1.19  % (2097953)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=2570877693:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.07/1.19  % (2097957)ott-21_1_sil=16000:fs=off:random_seed=340841105:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.07/1.19  % TRYING [3]
% 5.07/1.19  % (2097952)Instruction limit reached! 
% 5.07/1.19  % (2097952)------------------------------
% 5.07/1.19  % (2097952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.19  % (2097952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.19  % (2097952)CaDiCaL version: 2.1.3
% 5.07/1.19  % (2097952)Termination reason: Instruction limit
% 5.07/1.19  % (2097952)Termination phase: Saturation
% 5.07/1.19  % (2097952)Time elapsed: 0.086 s
% 5.07/1.19  % (2097952)Peak memory usage: 14 MB
% 5.07/1.19  % (2097952)Instructions burned: 132 (million)
% 5.07/1.19  % (2097959)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2334920517:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.07/1.19  % (2097957)Instruction limit reached! 
% 5.07/1.19  % (2097957)------------------------------
% 5.07/1.19  % (2097957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.19  % (2097957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.19  % (2097957)CaDiCaL version: 2.1.3
% 5.07/1.19  % (2097957)Termination reason: Instruction limit
% 5.07/1.19  % (2097957)Termination phase: Saturation
% 5.07/1.19  % (2097957)Time elapsed: 0.092 s
% 5.07/1.19  % (2097957)Peak memory usage: 13 MB
% 5.07/1.19  % (2097957)Instructions burned: 180 (million)
% 5.07/1.19  % (2097961)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1312847117:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 5.07/1.19  % TRYING [1]
% 5.07/1.19  % TRYING [2]
% 5.07/1.19  % TRYING [3]
% 5.07/1.19  % (2097951)Instruction limit reached! 
% 5.07/1.19  % (2097951)------------------------------
% 5.07/1.19  % (2097951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.19  % (2097951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.19  % (2097951)CaDiCaL version: 2.1.3
% 5.07/1.19  % (2097951)Termination reason: Instruction limit
% 5.07/1.19  % (2097951)Termination phase: Finite model building constraint generation
% 5.07/1.19  % (2097951)Time elapsed: 0.249 s
% 5.07/1.19  % (2097951)Peak memory usage: 24 MB
% 5.07/1.19  % (2097951)Instructions burned: 715 (million)
% 5.07/1.19  % (2097963)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3716002605:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 5.07/1.19  % (2097959)Instruction limit reached! 
% 5.07/1.19  % (2097959)------------------------------
% 5.07/1.19  % (2097959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.19  % (2097959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.19  % (2097959)CaDiCaL version: 2.1.3
% 5.07/1.19  % (2097959)Termination reason: Instruction limit
% 5.07/1.19  % (2097959)Termination phase: Saturation
% 5.07/1.19  % (2097959)Time elapsed: 0.302 s
% 5.07/1.19  % (2097959)Peak memory usage: 15 MB
% 5.07/1.19  % (2097959)Instructions burned: 478 (million)
% 5.07/1.19  % (2097953)Instruction limit reached! 
% 5.07/1.19  % (2097953)------------------------------
% 5.07/1.19  % (2097953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.19  % (2097953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.19  % (2097953)CaDiCaL version: 2.1.3
% 5.07/1.19  % (2097953)Termination reason: Instruction limit
% 5.07/1.19  % (2097953)Termination phase: Saturation
% 5.07/1.19  % (2097953)Time elapsed: 0.410 s
% 5.07/1.19  % (2097953)Peak memory usage: 19 MB
% 5.07/1.19  % (2097953)Instructions burned: 685 (million)
% 5.07/1.19  % (2097965)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=70791906:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 5.07/1.19  % (2097965)Cannot represent all propositional literals internally
% 5.07/1.19  % (2097965)Refutation not found, incomplete strategy
% 5.07/1.19  % (2097965)------------------------------
% 5.07/1.19  % (2097965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.19  % (2097965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.19  % (2097965)CaDiCaL version: 2.1.3
% 5.07/1.19  % (2097965)Termination reason: Refutation not found, incomplete strategy
% 5.07/1.19  % (2097965)Time elapsed: 0.006 s
% 5.07/1.19  % (2097965)Peak memory usage: 10 MB
% 5.07/1.19  % (2097965)Instructions burned: 13 (million)
% 5.07/1.19  % (2097965)------------------------------
% 5.07/1.19  % (2097965)------------------------------
% 5.07/1.19  % (2097966)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=1377417629: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)
% 5.07/1.19  % (2097961)Instruction limit reached! 
% 5.07/1.19  % (2097961)------------------------------
% 5.07/1.19  % (2097961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.19  % (2097961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.19  % (2097961)CaDiCaL version: 2.1.3
% 5.07/1.19  % (2097961)Termination reason: Instruction limit
% 5.07/1.19  % (2097961)Termination phase: Finite model building constraint generation
% 5.07/1.19  % (2097961)Time elapsed: 0.303 s
% 5.07/1.19  % (2097961)Peak memory usage: 51 MB
% 5.07/1.19  % (2097961)Instructions burned: 867 (million)
% 5.07/1.19  % (2097968)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3949332713:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 5.07/1.19  % (2097971)fmb+10_1_sil=64000:random_seed=1505185320:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 5.07/1.19  % TRYING [1]
% 5.07/1.19  % TRYING [2]
% 5.07/1.19  % TRYING [3]
% 5.07/1.19  % (2097966) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2097932-2097966"...
% 5.07/1.19  % (2097966)...printing done.
% 5.07/1.19  % (2097966)Refutation found. Thanks to Tanya!
% 5.07/1.19  % SZS status Theorem for theBenchmark
% 5.07/1.19  % SZS output start Proof for theBenchmark
% See solution above
% 5.07/1.20  % (2097966)------------------------------
% 5.07/1.20  % (2097966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.20  % (2097966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.20  % (2097966)CaDiCaL version: 2.1.3
% 5.07/1.20  % (2097966)Termination reason: Refutation
% 5.07/1.20  % (2097966)Time elapsed: 0.197 s
% 5.07/1.20  % (2097966)Peak memory usage: 15 MB
% 5.07/1.20  % (2097966)Instructions burned: 337 (million)
% 5.07/1.20  % (2097932)Success in time 0.782 s
% 5.07/1.20  % Vampire exiting
%------------------------------------------------------------------------------