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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO650+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 : n008.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 09:54:57 AM UTC 2026

% Result   : Theorem 15.18s 2.79s
% Output   : Refutation 15.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   81 (  12 unt;   0 def)
%            Number of atoms       :  245 (   0 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  248 (  84   ~;  82   |;  66   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   9 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :  392 ( 372   !;  20   ?)

% 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(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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

fof(f20,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).

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(f41,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',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/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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( midp(X7,X0,X1)
        & perp(X0,X1,X7,X3)
        & midp(X8,X0,X2)
        & perp(X0,X2,X8,X3)
        & midp(X9,X1,X2)
        & perp(X1,X2,X9,X3)
        & perp(X2,X3,X2,X4)
        & perp(X1,X3,X1,X4)
        & perp(X5,X3,X0,X1)
        & coll(X5,X0,X1)
        & coll(X6,X3,X5)
        & coll(X6,X0,X2) )
     => para(X6,X4,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02211) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
        ( ( midp(X7,X0,X1)
          & perp(X0,X1,X7,X3)
          & midp(X8,X0,X2)
          & perp(X0,X2,X8,X3)
          & midp(X9,X1,X2)
          & perp(X1,X2,X9,X3)
          & perp(X2,X3,X2,X4)
          & perp(X1,X3,X1,X4)
          & perp(X5,X3,X0,X1)
          & coll(X5,X0,X1)
          & coll(X6,X3,X5)
          & coll(X6,X0,X2) )
       => para(X6,X4,X0,X1) ),
    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(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(f122,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(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(f124,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f20]) ).

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(f150,plain,
    ! [X0,X1,X2,X3] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f41]) ).

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(f155,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(f156,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,[],[f155]) ).

fof(f180,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(f181,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3) ),
    inference(flattening,[],[f180]) ).

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

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

fof(f270,plain,
    ( ~ para(sK26,sK24,sK20,sK21)
    & midp(sK27,sK20,sK21)
    & perp(sK20,sK21,sK27,sK23)
    & midp(sK28,sK20,sK22)
    & perp(sK20,sK22,sK28,sK23)
    & midp(sK29,sK21,sK22)
    & perp(sK21,sK22,sK29,sK23)
    & perp(sK22,sK23,sK22,sK24)
    & perp(sK21,sK23,sK21,sK24)
    & perp(sK25,sK23,sK20,sK21)
    & coll(sK25,sK20,sK21)
    & coll(sK26,sK23,sK25)
    & coll(sK26,sK20,sK22) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29)],[f250]) ).

fof(f278,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f279,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(f287,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(f288,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,[],[f122]) ).

fof(f289,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(f290,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f291,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(f309,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(f310,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f311,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f312,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,[],[f152]) ).

fof(f313,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3)
      | ~ coll(X2,X3,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f314,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | cong(X0,X1,X3,X4) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f327,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f390,plain,
    perp(sK21,sK22,sK29,sK23),
    inference(cnf_transformation,[],[f270]) ).

fof(f396,plain,
    ~ para(sK26,sK24,sK20,sK21),
    inference(cnf_transformation,[],[f270]) ).

fof(f436,plain,
    perp(sK29,sK23,sK21,sK22),
    inference(resolution,[],[f278,f390]) ).

fof(f556,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK21,sK22)
      | para(X0,X1,sK29,sK23) ),
    inference(resolution,[],[f279,f390]) ).

fof(f629,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X0,X1,X1,X2,X3,X0,X3,X2)
      | ~ cyclic(X0,X2,X1,X3) ),
    inference(resolution,[],[f288,f311]) ).

fof(f637,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
      | ~ para(X2,X3,X4,X5) ),
    inference(resolution,[],[f289,f310]) ).

fof(f655,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f291,f310]) ).

fof(f1360,plain,
    para(sK29,sK23,sK29,sK23),
    inference(resolution,[],[f556,f436]) ).

fof(f1652,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X3,X0,X3,X1,X0,X2,X2,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f629,f290]) ).

fof(f1711,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | para(X2,X3,X2,X3) ),
    inference(resolution,[],[f637,f309]) ).

fof(f1901,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | ~ coll(X0,X2,X1) ),
    inference(resolution,[],[f655,f313]) ).

fof(f1902,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | coll(X0,X2,X1) ),
    inference(resolution,[],[f655,f312]) ).

fof(f1912,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2) ),
    inference(forward_subsumption_resolution,[],[f1901,f1902]) ).

fof(f10321,plain,
    ! [X0,X1] : para(X0,X1,X0,X1),
    inference(resolution,[],[f1711,f1360]) ).

fof(f10422,plain,
    ! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
    inference(resolution,[],[f10321,f1912]) ).

fof(f11243,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X0,X1,X2)
      | cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f10422,f287]) ).

fof(f11273,plain,
    ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
    inference(forward_subsumption_resolution,[],[f11243,f10422]) ).

fof(f12434,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | ~ cyclic(X0,X1,X2,X0)
      | ~ cyclic(X0,X1,X2,X1)
      | ~ cyclic(X0,X1,X2,X0)
      | cong(X0,X1,X0,X1) ),
    inference(resolution,[],[f1652,f314]) ).

fof(f12445,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | ~ cyclic(X0,X1,X2,X0)
      | ~ cyclic(X0,X1,X2,X1)
      | cong(X0,X1,X0,X1) ),
    inference(duplicate_literal_removal,[],[f12434]) ).

fof(f12446,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | ~ cyclic(X0,X1,X2,X0)
      | cong(X0,X1,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f12445,f11273]) ).

fof(f12456,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | cong(X0,X1,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f12446,f11273]) ).

fof(f12458,plain,
    ! [X0,X1] : cong(X0,X1,X0,X1),
    inference(forward_subsumption_resolution,[],[f12456,f11273]) ).

fof(f12486,plain,
    ! [X2,X0,X1] :
      ( ~ cong(X0,X1,X0,X1)
      | perp(X0,X0,X1,X2) ),
    inference(resolution,[],[f12458,f327]) ).

fof(f12527,plain,
    ! [X2,X0,X1] : perp(X0,X0,X1,X2),
    inference(forward_subsumption_resolution,[],[f12486,f12458]) ).

fof(f13542,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ perp(X0,X1,X2,X2)
      | para(X0,X1,X3,X4) ),
    inference(resolution,[],[f12527,f279]) ).

fof(f13544,plain,
    ! [X2,X0,X1] : perp(X0,X1,X2,X2),
    inference(resolution,[],[f12527,f278]) ).

fof(f13569,plain,
    ! [X3,X0,X1,X4] : para(X0,X1,X3,X4),
    inference(forward_subsumption_resolution,[],[f13542,f13544]) ).

fof(f18078,plain,
    $false,
    inference(resolution,[],[f13569,f396]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO650+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39  % Computer : n008.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Sun Sep 27 08:44:10 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42  Running first-order model finding
% 0.12/0.43  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.75/1.47  % (930843)Will run a generic schedule for satisfiability detection.
% 6.75/1.47  % (930852)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=314149744:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.75/1.47  % (930849)% WARNING: option uhcvi not known.
% 6.75/1.47  % (930848)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1679658084_2999 on theBenchmark for (2999ds/0Mi)
% 6.75/1.47  % (930849)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2821426025:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.75/1.47  % (930850)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=52490777:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.75/1.47  % (930851)dis+10_1_sil=32000:sp=arity:random_seed=229533325:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.75/1.47  % (930853)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3977974360:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.75/1.47  % (930854)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2032665659:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.75/1.47  % TRYING [1]
% 6.75/1.47  % TRYING [2]
% 6.75/1.47  % (930852)Instruction limit reached! 
% 6.75/1.47  % (930852)------------------------------
% 6.75/1.47  % (930852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.47  % (930852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.47  % (930852)CaDiCaL version: 2.1.3
% 6.75/1.47  % (930852)Termination reason: Instruction limit
% 6.75/1.47  % (930852)Termination phase: Saturation
% 6.75/1.47  % (930852)Time elapsed: 0.039 s
% 6.75/1.47  % (930852)Peak memory usage: 13 MB
% 6.75/1.47  % (930852)Instructions burned: 118 (million)
% 6.75/1.47  % TRYING [3]
% 6.75/1.47  % (930862)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1425493085:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.75/1.47  % TRYING [1]
% 6.75/1.47  % TRYING [2]
% 6.75/1.47  % (930851)Instruction limit reached! 
% 6.75/1.47  % (930851)------------------------------
% 6.75/1.47  % (930851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.47  % (930851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.47  % (930851)CaDiCaL version: 2.1.3
% 6.75/1.47  % (930851)Termination reason: Instruction limit
% 6.75/1.47  % (930851)Termination phase: Saturation
% 6.75/1.47  % (930851)Time elapsed: 0.070 s
% 6.75/1.47  % (930851)Peak memory usage: 13 MB
% 6.75/1.47  % (930851)Instructions burned: 108 (million)
% 6.75/1.47  % (930853)Instruction limit reached! 
% 6.75/1.47  % (930853)------------------------------
% 6.75/1.47  % (930853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.47  % (930853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.47  % (930853)CaDiCaL version: 2.1.3
% 6.75/1.47  % (930853)Termination reason: Instruction limit
% 6.75/1.47  % (930853)Termination phase: Saturation
% 6.75/1.47  % (930853)Time elapsed: 0.079 s
% 6.75/1.47  % (930853)Peak memory usage: 14 MB
% 6.75/1.47  % (930853)Instructions burned: 132 (million)
% 6.75/1.47  % TRYING [3]
% 6.75/1.47  % (930864)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=268231852:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.75/1.47  % (930865)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=3601467754:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.75/1.47  % (930854)Instruction limit reached! 
% 6.75/1.47  % (930854)------------------------------
% 6.75/1.47  % (930854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.47  % (930854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.47  % (930854)CaDiCaL version: 2.1.3
% 6.75/1.47  % (930854)Termination reason: Instruction limit
% 6.75/1.47  % (930854)Termination phase: Saturation
% 6.75/1.47  % (930854)Time elapsed: 0.101 s
% 6.75/1.47  % (930854)Peak memory usage: 15 MB
% 6.75/1.47  % (930854)Instructions burned: 160 (million)
% 6.75/1.47  % (930868)ott-21_1_sil=16000:fs=off:random_seed=3695171024:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.75/1.47  % (930864)Instruction limit reached! 
% 6.75/1.47  % (930864)------------------------------
% 6.75/1.47  % (930864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.47  % (930864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/2.79  % (930864)CaDiCaL version: 2.1.3
% 15.18/2.79  % (930864)Termination reason: Instruction limit
% 15.18/2.79  % (930864)Termination phase: Saturation
% 15.18/2.79  % (930864)Time elapsed: 0.081 s
% 15.18/2.79  % (930864)Peak memory usage: 15 MB
% 15.18/2.79  % (930864)Instructions burned: 132 (million)
% 15.18/2.79  % (930870)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4162708057:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 15.18/2.79  % (930862)Instruction limit reached! 
% 15.18/2.79  % (930862)------------------------------
% 15.18/2.79  % (930862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.18/2.79  % (930862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/2.79  % (930862)CaDiCaL version: 2.1.3
% 15.18/2.79  % (930862)Termination reason: Instruction limit
% 15.18/2.79  % (930862)Termination phase: Finite model building constraint generation
% 15.18/2.79  % (930862)Time elapsed: 0.145 s
% 15.18/2.79  % (930862)Peak memory usage: 24 MB
% 15.18/2.79  % (930862)Instructions burned: 714 (million)
% 15.18/2.79  % (930872)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1587155785:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 15.18/2.79  % TRYING [1]
% 15.18/2.79  % TRYING [2]
% 15.18/2.79  % (930868)Instruction limit reached! 
% 15.18/2.79  % (930868)------------------------------
% 15.18/2.79  % (930868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.18/2.79  % (930868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/2.79  % (930868)CaDiCaL version: 2.1.3
% 15.18/2.79  % (930868)Termination reason: Instruction limit
% 15.18/2.79  % (930868)Termination phase: Saturation
% 15.18/2.79  % (930868)Time elapsed: 0.095 s
% 15.18/2.79  % (930868)Peak memory usage: 13 MB
% 15.18/2.79  % (930868)Instructions burned: 180 (million)
% 15.18/2.79  % (930874)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2933674521:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 15.18/2.79  % TRYING [3]
% 15.18/2.79  % (930872)Instruction limit reached! 
% 15.18/2.79  % (930872)------------------------------
% 15.18/2.79  % (930872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.18/2.79  % (930872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/2.79  % (930872)CaDiCaL version: 2.1.3
% 15.18/2.79  % (930872)Termination reason: Instruction limit
% 15.18/2.79  % (930872)Termination phase: Finite model building constraint generation
% 15.18/2.79  % (930872)Time elapsed: 0.163 s
% 15.18/2.79  % (930872)Peak memory usage: 51 MB
% 15.18/2.79  % (930872)Instructions burned: 869 (million)
% 15.18/2.79  % (930876)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=591211821:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 15.18/2.79  % (930876)Cannot represent all propositional literals internally
% 15.18/2.79  % (930876)Refutation not found, incomplete strategy
% 15.18/2.79  % (930876)------------------------------
% 15.18/2.79  % (930876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.18/2.79  % (930876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/2.79  % (930876)CaDiCaL version: 2.1.3
% 15.18/2.79  % (930876)Termination reason: Refutation not found, incomplete strategy
% 15.18/2.79  % (930876)Time elapsed: 0.003 s
% 15.18/2.79  % (930876)Peak memory usage: 10 MB
% 15.18/2.79  % (930876)Instructions burned: 13 (million)
% 15.18/2.79  % (930876)------------------------------
% 15.18/2.79  % (930876)------------------------------
% 15.18/2.79  % (930878)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=1167617868:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 15.18/2.79  % (930870)Instruction limit reached! 
% 15.18/2.79  % (930870)------------------------------
% 15.18/2.79  % (930870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.18/2.79  % (930870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/2.79  % (930870)CaDiCaL version: 2.1.3
% 15.18/2.79  % (930870)Termination reason: Instruction limit
% 15.18/2.79  % (930870)Termination phase: Saturation
% 15.18/2.79  % (930870)Time elapsed: 0.290 s
% 15.18/2.79  % (930870)Peak memory usage: 15 MB
% 15.18/2.79  % (930870)Instructions burned: 477 (million)
% 15.18/2.79  % (930865)Instruction limit reached! 
% 15.18/2.79  % (930865)------------------------------
% 15.18/2.79  % (930865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.18/2.79  % (930865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/2.79  % (930865)CaDiCaL version: 2.1.3
% 15.18/2.79  % (930865)Termination reason: Instruction limit
% 15.18/2.79  % (930865)Termination phase: Saturation
% 15.18/2.79  % (930865)Time elapsed: 0.397 s
% 15.18/2.79  % (930865)Peak memory usage: 18 MB
% 15.18/2.79  % (930865)Instructions burned: 684 (million)
% 15.18/2.79  % (930880)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4089960745:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 15.18/2.79  % (930881)fmb+10_1_sil=64000:random_seed=668086541:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 15.18/2.79  % TRYING [1]
% 15.18/2.79  % TRYING [2]
% 15.18/2.79  % TRYING [3]
% 15.18/2.79  % (930878)Instruction limit reached! 
% 15.18/2.79  % (930878)------------------------------
% 15.18/2.79  % (930878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.18/2.79  % (930878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/2.79  % (930878)CaDiCaL version: 2.1.3
% 15.18/2.79  % (930878)Termination reason: Instruction limit
% 15.18/2.79  % (930878)Termination phase: Saturation
% 15.18/2.79  % (930878)Time elapsed: 0.217 s
% 15.18/2.79  % (930878)Peak memory usage: 21 MB
% 15.18/2.79  % (930878)Instructions burned: 695 (million)
% 15.18/2.79  % (930884)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=241293481:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 15.18/2.79  % (930884)Cannot represent all propositional literals internally
% 15.18/2.79  % (930884)Refutation not found, incomplete strategy
% 15.18/2.79  % (930884)------------------------------
% 15.18/2.79  % (930884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.18/2.79  % (930884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/2.79  % (930884)CaDiCaL version: 2.1.3
% 15.18/2.79  % (930884)Termination reason: Refutation not found, incomplete strategy
% 15.18/2.79  % (930884)Time elapsed: 0.003 s
% 15.18/2.79  % (930884)Peak memory usage: 10 MB
% 15.18/2.79  % (930884)Instructions burned: 13 (million)
% 15.18/2.79  % (930884)------------------------------
% 15.18/2.79  % (930884)------------------------------
% 15.18/2.79  % (930886)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1038246263:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 15.18/2.79  % TRYING [8]
% 15.18/2.79  % (930886)Instruction limit reached! 
% 15.18/2.79  % (930886)------------------------------
% 15.18/2.79  % (930886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.18/2.79  % (930886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/2.79  % (930886)CaDiCaL version: 2.1.3
% 15.18/2.79  % (930886)Termination reason: Instruction limit
% 15.18/2.79  % (930886)Termination phase: Finite model building constraint generation
% 15.18/2.79  % (930886)Time elapsed: 0.162 s
% 15.18/2.79  % (930886)Peak memory usage: 46 MB
% 15.18/2.79  % (930886)Instructions burned: 925 (million)
% 15.18/2.79  % (930888)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2828831536:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 15.18/2.79  % (930874)Instruction limit reached! 
% 15.18/2.79  % (930874)------------------------------
% 15.18/2.79  % (930874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.18/2.79  % (930874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/2.79  % (930874)CaDiCaL version: 2.1.3
% 15.18/2.79  % (930874)Termination reason: Instruction limit
% 15.18/2.79  % (930874)Termination phase: Saturation
% 15.18/2.79  % (930874)Time elapsed: 0.714 s
% 15.18/2.79  % (930874)Peak memory usage: 24 MB
% 15.18/2.79  % (930874)Instructions burned: 1179 (million)
% 15.18/2.79  % (930890)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1368813183:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 15.18/2.79  % (930880)Instruction limit reached! 
% 15.18/2.79  % (930880)------------------------------
% 15.18/2.79  % (930880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.18/2.79  % (930880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/2.79  % (930880)CaDiCaL version: 2.1.3
% 15.18/2.79  % (930880)Termination reason: Instruction limit
% 15.18/2.79  % (930880)Termination phase: Saturation
% 15.18/2.79  % (930880)Time elapsed: 0.475 s
% 15.18/2.79  % (930880)Peak memory usage: 17 MB
% 15.18/2.79  % (930880)Instructions burned: 880 (million)
% 15.18/2.79  % (930892)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2530727980:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 15.18/2.79  % (930892)Cannot represent all propositional literals internally
% 15.18/2.79  % (930892)Refutation not found, incomplete strategy
% 15.18/2.79  % (930892)------------------------------
% 15.18/2.79  % (930892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.18/2.79  % (930892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/2.79  % (930892)CaDiCaL version: 2.1.3
% 15.18/2.79  % (930892)Termination reason: Refutation not found, incomplete strategy
% 15.18/2.79  % (930892)Time elapsed: 0.008 s
% 15.18/2.79  % (930892)Peak memory usage: 11 MB
% 15.18/2.79  % (930892)Instructions burned: 16 (million)
% 15.18/2.79  % (930892)------------------------------
% 15.18/2.79  % (930892)------------------------------
% 15.18/2.79  % (930894)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2460296320:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 15.18/2.79  % (930894)Cannot represent all propositional literals internally
% 15.18/2.79  % (930894)Refutation not found, incomplete strategy
% 15.18/2.79  % (930894)------------------------------
% 15.18/2.79  % (930894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.18/2.79  % (930894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/2.79  % (930894)CaDiCaL version: 2.1.3
% 15.18/2.79  % (930894)Termination reason: Refutation not found, incomplete strategy
% 15.18/2.79  % (930894)Time elapsed: 0.082 s
% 15.18/2.79  % (930894)Peak memory usage: 12 MB
% 15.18/2.79  % (930894)Instructions burned: 166 (million)
% 15.18/2.79  % (930894)------------------------------
% 15.18/2.79  % (930894)------------------------------
% 15.18/2.79  % (930896)ott-2_1_sil=16000:newcnf=on:random_seed=277432368:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 15.18/2.79  % (930896)Instruction limit reached! 
% 15.18/2.79  % (930896)------------------------------
% 15.18/2.79  % (930896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.18/2.79  % (930896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/2.79  % (930896)CaDiCaL version: 2.1.3
% 15.18/2.79  % (930896)Termination reason: Instruction limit
% 15.18/2.79  % (930896)Termination phase: Saturation
% 15.18/2.79  % (930896)Time elapsed: 0.550 s
% 15.18/2.79  % (930896)Peak memory usage: 19 MB
% 15.18/2.79  % (930896)Instructions burned: 869 (million)
% 15.18/2.79  % (930898)ott+10_1_sil=32000:tgt=ground:random_seed=581353515:i=5114:av=off_2982 on theBenchmark for (2982ds/5114Mi)
% 15.18/2.79  % (930890)Instruction limit reached! 
% 15.18/2.79  % (930890)------------------------------
% 15.18/2.79  % (930890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.18/2.79  % (930890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/2.79  % (930890)CaDiCaL version: 2.1.3
% 15.18/2.79  % (930890)Termination reason: Instruction limit
% 15.18/2.79  % (930890)Termination phase: Saturation
% 15.18/2.79  % (930890)Time elapsed: 0.918 s
% 15.18/2.79  % (930890)Peak memory usage: 33 MB
% 15.18/2.79  % (930890)Instructions burned: 1473 (million)
% 15.18/2.79  % (930900)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1888984671:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 15.18/2.79  % TRYING [1]
% 15.18/2.79  % TRYING [2]
% 15.18/2.79  % TRYING [3]
% 15.18/2.79  % (930898) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-930843-930898"...
% 15.18/2.79  % (930898)...printing done.
% 15.18/2.79  % (930898)Refutation found. Thanks to Tanya!
% 15.18/2.79  % SZS status Theorem for theBenchmark
% 15.18/2.79  % SZS output start Proof for theBenchmark
% See solution above
% 15.18/2.79  % (930898)------------------------------
% 15.18/2.79  % (930898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.18/2.79  % (930898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/2.79  % (930898)CaDiCaL version: 2.1.3
% 15.18/2.79  % (930898)Termination reason: Refutation
% 15.18/2.79  % (930898)Time elapsed: 0.576 s
% 15.18/2.79  % (930898)Peak memory usage: 23 MB
% 15.18/2.79  % (930898)Instructions burned: 901 (million)
% 15.18/2.79  % (930843)Success in time 2.354 s
% 15.18/2.79  % Vampire exiting
%------------------------------------------------------------------------------