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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO569+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 09:54:45 AM UTC 2026

% Result   : Theorem 6.89s 2.52s
% Output   : Refutation 6.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  102 (  25 unt;   0 def)
%            Number of atoms       :  236 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  212 (  78   ~;  77   |;  39   &)
%                                         (   0 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :  335 ( 319   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( coll(X0,X1,X2)
        & coll(X0,X1,X3) )
     => coll(X2,X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

fof(f4,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).

fof(f7,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).

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(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(f54,axiom,
    ! [X0,X1,X2,X3] :
      ( ( circle(X3,X0,X1,X2)
        & coll(X3,X0,X2) )
     => perp(X0,X1,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).

fof(f70,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( circle(X3,X0,X1,X2)
        & midp(X4,X1,X0)
        & midp(X5,X2,X0)
        & coll(X6,X3,X4)
        & coll(X6,X0,X2)
        & coll(X7,X3,X5)
        & coll(X7,X0,X1) )
     => cyclic(X7,X1,X2,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214031) ).

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

fof(f98,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X2,X1)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f99,plain,
    ! [X0,X1,X2] :
      ( coll(X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f100,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X2)
      | ~ coll(X0,X1,X3) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f101,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X2)
      | ~ coll(X0,X1,X3) ),
    inference(flattening,[],[f100]) ).

fof(f102,plain,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X3,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f106,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X3,X2)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f7]) ).

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(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(f174,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X1,X2)
      | ~ circle(X3,X0,X1,X2)
      | ~ coll(X3,X0,X2) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f175,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X1,X2)
      | ~ circle(X3,X0,X1,X2)
      | ~ coll(X3,X0,X2) ),
    inference(flattening,[],[f174]) ).

fof(f201,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
      | ~ midp(X0,X1,X2) ),
    inference(ennf_transformation,[],[f70]) ).

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

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

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

fof(f271,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X0,X2,X1) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f272,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X1,X0,X2) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f273,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2)
      | coll(X2,X3,X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f274,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X2,X3)
      | para(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f277,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f106]) ).

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(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(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(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(f324,plain,
    ! [X2,X3,X0,X1] :
      ( ~ circle(X3,X0,X1,X2)
      | perp(X0,X1,X1,X2)
      | ~ coll(X3,X0,X2) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f340,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X1,X2)
      | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f201]) ).

fof(f385,plain,
    coll(sK27,sK23,sK25),
    inference(cnf_transformation,[],[f270]) ).

fof(f388,plain,
    midp(sK25,sK22,sK20),
    inference(cnf_transformation,[],[f270]) ).

fof(f390,plain,
    circle(sK23,sK20,sK21,sK22),
    inference(cnf_transformation,[],[f270]) ).

fof(f391,plain,
    ~ cyclic(sK27,sK21,sK22,sK26),
    inference(cnf_transformation,[],[f270]) ).

fof(f393,plain,
    coll(sK27,sK25,sK23),
    inference(resolution,[],[f271,f385]) ).

fof(f404,plain,
    coll(sK25,sK27,sK23),
    inference(resolution,[],[f393,f272]) ).

fof(f406,plain,
    coll(sK25,sK22,sK20),
    inference(resolution,[],[f340,f388]) ).

fof(f424,plain,
    coll(sK22,sK25,sK20),
    inference(resolution,[],[f406,f272]) ).

fof(f441,plain,
    ! [X0] :
      ( ~ coll(sK25,sK27,X0)
      | coll(X0,sK23,sK25) ),
    inference(resolution,[],[f273,f404]) ).

fof(f448,plain,
    ! [X0] :
      ( ~ coll(sK27,sK23,X0)
      | coll(X0,sK25,sK27) ),
    inference(resolution,[],[f273,f385]) ).

fof(f483,plain,
    ! [X0] :
      ( ~ coll(sK22,sK25,X0)
      | coll(X0,sK20,sK22) ),
    inference(resolution,[],[f424,f273]) ).

fof(f485,plain,
    coll(sK22,sK20,sK25),
    inference(resolution,[],[f424,f271]) ).

fof(f510,plain,
    ( perp(sK20,sK21,sK21,sK22)
    | ~ coll(sK23,sK20,sK22) ),
    inference(resolution,[],[f324,f390]) ).

fof(f511,plain,
    ! [X0] :
      ( ~ coll(sK22,sK20,X0)
      | coll(X0,sK25,sK22) ),
    inference(resolution,[],[f485,f273]) ).

fof(f573,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(f577,plain,
    coll(sK25,sK25,sK27),
    inference(resolution,[],[f448,f385]) ).

fof(f583,plain,
    ! [X0] :
      ( ~ coll(sK25,sK25,X0)
      | coll(X0,sK27,sK25) ),
    inference(resolution,[],[f577,f273]) ).

fof(f1091,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK20,sK21)
      | ~ coll(sK23,sK20,sK22)
      | para(X0,X1,sK21,sK22) ),
    inference(resolution,[],[f510,f279]) ).

fof(f1094,plain,
    ( perp(sK20,sK21,sK22,sK21)
    | ~ coll(sK23,sK20,sK22) ),
    inference(resolution,[],[f510,f277]) ).

fof(f1350,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | para(X2,X3,X2,X3) ),
    inference(resolution,[],[f573,f309]) ).

fof(f1354,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X4,X5,X4,X5,X0,X1,X2,X3)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f573,f291]) ).

fof(f2030,plain,
    coll(sK25,sK25,sK22),
    inference(resolution,[],[f511,f485]) ).

fof(f2060,plain,
    coll(sK22,sK27,sK25),
    inference(resolution,[],[f2030,f583]) ).

fof(f2089,plain,
    coll(sK27,sK22,sK25),
    inference(resolution,[],[f2060,f272]) ).

fof(f2103,plain,
    coll(sK27,sK25,sK22),
    inference(resolution,[],[f2089,f271]) ).

fof(f2131,plain,
    coll(sK25,sK27,sK22),
    inference(resolution,[],[f2103,f272]) ).

fof(f2183,plain,
    coll(sK22,sK23,sK25),
    inference(resolution,[],[f2131,f441]) ).

fof(f2231,plain,
    coll(sK22,sK25,sK23),
    inference(resolution,[],[f2183,f271]) ).

fof(f2386,plain,
    coll(sK23,sK20,sK22),
    inference(resolution,[],[f2231,f483]) ).

fof(f4622,plain,
    ( ~ coll(sK23,sK20,sK22)
    | perp(sK22,sK21,sK20,sK21) ),
    inference(resolution,[],[f1094,f278]) ).

fof(f4624,plain,
    perp(sK22,sK21,sK20,sK21),
    inference(forward_subsumption_resolution,[],[f4622,f2386]) ).

fof(f5057,plain,
    ( ~ coll(sK23,sK20,sK22)
    | para(sK22,sK21,sK21,sK22) ),
    inference(resolution,[],[f4624,f1091]) ).

fof(f5064,plain,
    para(sK22,sK21,sK21,sK22),
    inference(forward_subsumption_resolution,[],[f5057,f2386]) ).

fof(f5162,plain,
    para(sK22,sK21,sK22,sK21),
    inference(resolution,[],[f5064,f274]) ).

fof(f6436,plain,
    ! [X0,X1] : para(X0,X1,X0,X1),
    inference(resolution,[],[f1350,f5162]) ).

fof(f8103,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X2,X0)
      | ~ coll(X2,X0,X1) ),
    inference(resolution,[],[f1354,f313]) ).

fof(f8104,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X2,X0)
      | coll(X2,X0,X1) ),
    inference(resolution,[],[f1354,f312]) ).

fof(f8121,plain,
    ! [X2,X0,X1] :
      ( cyclic(X1,X1,X2,X0)
      | coll(X2,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f8104,f6436]) ).

fof(f8122,plain,
    ! [X2,X0,X1] :
      ( cyclic(X1,X1,X2,X0)
      | ~ coll(X2,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f8103,f6436]) ).

fof(f8123,plain,
    ! [X2,X0,X1] : cyclic(X1,X1,X2,X0),
    inference(forward_subsumption_resolution,[],[f8122,f8121]) ).

fof(f8127,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X0,X1,X2)
      | cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f8123,f287]) ).

fof(f8157,plain,
    ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
    inference(forward_subsumption_resolution,[],[f8127,f8123]) ).

fof(f8540,plain,
    $false,
    inference(resolution,[],[f8157,f391]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO569+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38  % Computer : n008.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Sun Sep 27 08:33:10 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42  Running first-order model finding
% 0.10/0.42  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
% 6.72/1.48  % (928175)Will run a generic schedule for satisfiability detection.
% 6.72/1.48  % (928185)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=100770787:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.72/1.48  % (928180)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=427908096_2999 on theBenchmark for (2999ds/0Mi)
% 6.72/1.48  % (928182)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2424076874:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.72/1.48  % (928183)dis+10_1_sil=32000:sp=arity:random_seed=2011712939:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.72/1.48  % (928184)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2382970293:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.72/1.48  % (928186)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2199939139:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.72/1.48  % (928181)% WARNING: option uhcvi not known.
% 6.72/1.48  % (928181)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4227548373:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.72/1.48  % TRYING [1]
% 6.72/1.48  % TRYING [2]
% 6.72/1.48  % TRYING [3]
% 6.72/1.48  % (928185)Instruction limit reached! 
% 6.72/1.48  % (928185)------------------------------
% 6.72/1.48  % (928185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/1.48  % (928185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/1.48  % (928185)CaDiCaL version: 2.1.3
% 6.72/1.48  % (928185)Termination reason: Instruction limit
% 6.72/1.48  % (928185)Termination phase: Saturation
% 6.72/1.48  % (928185)Time elapsed: 0.045 s
% 6.72/1.48  % (928185)Peak memory usage: 14 MB
% 6.72/1.48  % (928185)Instructions burned: 132 (million)
% 6.72/1.48  % (928194)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4026477775:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.72/1.48  % TRYING [1]
% 6.72/1.48  % TRYING [2]
% 6.72/1.48  % (928183)Instruction limit reached! 
% 6.72/1.48  % (928183)------------------------------
% 6.72/1.48  % (928183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/1.48  % (928183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/1.48  % (928183)CaDiCaL version: 2.1.3
% 6.72/1.48  % (928183)Termination reason: Instruction limit
% 6.72/1.48  % (928183)Termination phase: Saturation
% 6.72/1.48  % (928183)Time elapsed: 0.067 s
% 6.72/1.48  % (928183)Peak memory usage: 12 MB
% 6.72/1.48  % (928183)Instructions burned: 103 (million)
% 6.72/1.48  % (928184)Instruction limit reached! 
% 6.72/1.48  % (928184)------------------------------
% 6.72/1.48  % (928184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/1.48  % (928184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/1.48  % (928184)CaDiCaL version: 2.1.3
% 6.72/1.48  % (928184)Termination reason: Instruction limit
% 6.72/1.48  % (928184)Termination phase: Saturation
% 6.72/1.48  % (928184)Time elapsed: 0.071 s
% 6.72/1.48  % (928184)Peak memory usage: 13 MB
% 6.72/1.48  % (928184)Instructions burned: 117 (million)
% 6.72/1.48  % TRYING [3]
% 6.72/1.48  % (928196)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1088072738:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.72/1.48  % (928186)Instruction limit reached! 
% 6.72/1.48  % (928186)------------------------------
% 6.72/1.48  % (928186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/1.48  % (928186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/1.48  % (928186)CaDiCaL version: 2.1.3
% 6.72/1.48  % (928186)Termination reason: Instruction limit
% 6.72/1.48  % (928186)Termination phase: Saturation
% 6.72/1.48  % (928186)Time elapsed: 0.089 s
% 6.72/1.48  % (928186)Peak memory usage: 13 MB
% 6.72/1.48  % (928186)Instructions burned: 160 (million)
% 6.72/1.48  % (928197)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=510205214:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.72/1.48  % (928199)ott-21_1_sil=16000:fs=off:random_seed=440414545:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.72/1.48  % (928196)Instruction limit reached! 
% 6.72/1.48  % (928196)------------------------------
% 6.72/1.48  % (928196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/1.48  % (928196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.52  % (928196)CaDiCaL version: 2.1.3
% 6.89/2.52  % (928196)Termination reason: Instruction limit
% 6.89/2.52  % (928196)Termination phase: Saturation
% 6.89/2.52  % (928196)Time elapsed: 0.082 s
% 6.89/2.52  % (928196)Peak memory usage: 14 MB
% 6.89/2.52  % (928196)Instructions burned: 132 (million)
% 6.89/2.52  % (928194)Instruction limit reached! 
% 6.89/2.52  % (928194)------------------------------
% 6.89/2.52  % (928194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.52  % (928194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.52  % (928194)CaDiCaL version: 2.1.3
% 6.89/2.52  % (928194)Termination reason: Instruction limit
% 6.89/2.52  % (928194)Termination phase: Finite model building constraint generation
% 6.89/2.52  % (928194)Time elapsed: 0.133 s
% 6.89/2.52  % (928194)Peak memory usage: 24 MB
% 6.89/2.52  % (928194)Instructions burned: 716 (million)
% 6.89/2.52  % (928202)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1291211740:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.89/2.52  % (928203)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1757775290:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.89/2.52  % TRYING [1]
% 6.89/2.52  % TRYING [2]
% 6.89/2.52  % (928199)Instruction limit reached! 
% 6.89/2.52  % (928199)------------------------------
% 6.89/2.52  % (928199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.52  % (928199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.52  % (928199)CaDiCaL version: 2.1.3
% 6.89/2.52  % (928199)Termination reason: Instruction limit
% 6.89/2.52  % (928199)Termination phase: Saturation
% 6.89/2.52  % (928199)Time elapsed: 0.093 s
% 6.89/2.52  % (928199)Peak memory usage: 13 MB
% 6.89/2.52  % (928199)Instructions burned: 182 (million)
% 6.89/2.52  % (928206)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1102139805:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 6.89/2.52  % TRYING [3]
% 6.89/2.52  % (928203)Instruction limit reached! 
% 6.89/2.52  % (928203)------------------------------
% 6.89/2.52  % (928203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.52  % (928203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.52  % (928203)CaDiCaL version: 2.1.3
% 6.89/2.52  % (928203)Termination reason: Instruction limit
% 6.89/2.52  % (928203)Termination phase: Finite model building constraint generation
% 6.89/2.52  % (928203)Time elapsed: 0.164 s
% 6.89/2.52  % (928203)Peak memory usage: 51 MB
% 6.89/2.52  % (928203)Instructions burned: 869 (million)
% 6.89/2.52  % (928208)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=322038301:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 6.89/2.52  % (928208)Cannot represent all propositional literals internally
% 6.89/2.52  % (928208)Refutation not found, incomplete strategy
% 6.89/2.52  % (928208)------------------------------
% 6.89/2.52  % (928208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.52  % (928208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.52  % (928208)CaDiCaL version: 2.1.3
% 6.89/2.52  % (928208)Termination reason: Refutation not found, incomplete strategy
% 6.89/2.52  % (928208)Time elapsed: 0.003 s
% 6.89/2.52  % (928208)Peak memory usage: 10 MB
% 6.89/2.52  % (928208)Instructions burned: 12 (million)
% 6.89/2.52  % (928208)------------------------------
% 6.89/2.52  % (928208)------------------------------
% 6.89/2.52  % (928210)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=812179627: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)
% 6.89/2.52  % (928197)Instruction limit reached! 
% 6.89/2.52  % (928197)------------------------------
% 6.89/2.52  % (928197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.52  % (928197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.52  % (928197)CaDiCaL version: 2.1.3
% 6.89/2.52  % (928197)Termination reason: Instruction limit
% 6.89/2.52  % (928197)Termination phase: Saturation
% 6.89/2.52  % (928197)Time elapsed: 0.388 s
% 6.89/2.52  % (928197)Peak memory usage: 19 MB
% 6.89/2.52  % (928197)Instructions burned: 686 (million)
% 6.89/2.52  % (928202)Instruction limit reached! 
% 6.89/2.52  % (928202)------------------------------
% 6.89/2.52  % (928202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.52  % (928202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.52  % (928202)CaDiCaL version: 2.1.3
% 6.89/2.52  % (928202)Termination reason: Instruction limit
% 6.89/2.52  % (928202)Termination phase: Saturation
% 6.89/2.52  % (928202)Time elapsed: 0.301 s
% 6.89/2.52  % (928202)Peak memory usage: 14 MB
% 6.89/2.52  % (928202)Instructions burned: 477 (million)
% 6.89/2.52  % (928212)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2836001931:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 6.89/2.52  % (928213)fmb+10_1_sil=64000:random_seed=1701558937:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 6.89/2.52  % TRYING [1]
% 6.89/2.52  % TRYING [2]
% 6.89/2.52  % TRYING [3]
% 6.89/2.52  % (928210)Instruction limit reached! 
% 6.89/2.52  % (928210)------------------------------
% 6.89/2.52  % (928210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.52  % (928210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.52  % (928210)CaDiCaL version: 2.1.3
% 6.89/2.52  % (928210)Termination reason: Instruction limit
% 6.89/2.52  % (928210)Termination phase: Saturation
% 6.89/2.52  % (928210)Time elapsed: 0.230 s
% 6.89/2.52  % (928210)Peak memory usage: 20 MB
% 6.89/2.52  % (928210)Instructions burned: 695 (million)
% 6.89/2.52  % (928216)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2587774888:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 6.89/2.52  % (928216)Cannot represent all propositional literals internally
% 6.89/2.52  % (928216)Refutation not found, incomplete strategy
% 6.89/2.52  % (928216)------------------------------
% 6.89/2.52  % (928216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.52  % (928216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.52  % (928216)CaDiCaL version: 2.1.3
% 6.89/2.52  % (928216)Termination reason: Refutation not found, incomplete strategy
% 6.89/2.52  % (928216)Time elapsed: 0.003 s
% 6.89/2.52  % (928216)Peak memory usage: 10 MB
% 6.89/2.52  % (928216)Instructions burned: 12 (million)
% 6.89/2.52  % (928216)------------------------------
% 6.89/2.52  % (928216)------------------------------
% 6.89/2.52  % (928218)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1087096081:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 6.89/2.52  % TRYING [8]
% 6.89/2.52  % (928218)Instruction limit reached! 
% 6.89/2.52  % (928218)------------------------------
% 6.89/2.52  % (928218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.52  % (928218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.52  % (928218)CaDiCaL version: 2.1.3
% 6.89/2.52  % (928218)Termination reason: Instruction limit
% 6.89/2.52  % (928218)Termination phase: Finite model building constraint generation
% 6.89/2.52  % (928218)Time elapsed: 0.152 s
% 6.89/2.52  % (928218)Peak memory usage: 45 MB
% 6.89/2.52  % (928218)Instructions burned: 922 (million)
% 6.89/2.52  % (928220)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2117621351:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 6.89/2.52  % (928206)Instruction limit reached! 
% 6.89/2.52  % (928206)------------------------------
% 6.89/2.52  % (928206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.52  % (928206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.52  % (928206)CaDiCaL version: 2.1.3
% 6.89/2.52  % (928206)Termination reason: Instruction limit
% 6.89/2.52  % (928206)Termination phase: Saturation
% 6.89/2.52  % (928206)Time elapsed: 0.735 s
% 6.89/2.52  % (928206)Peak memory usage: 26 MB
% 6.89/2.52  % (928206)Instructions burned: 1179 (million)
% 6.89/2.52  % (928222)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1350974150:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 6.89/2.52  % (928212)Instruction limit reached! 
% 6.89/2.52  % (928212)------------------------------
% 6.89/2.52  % (928212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.52  % (928212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.52  % (928212)CaDiCaL version: 2.1.3
% 6.89/2.52  % (928212)Termination reason: Instruction limit
% 6.89/2.52  % (928212)Termination phase: Saturation
% 6.89/2.52  % (928212)Time elapsed: 0.486 s
% 6.89/2.52  % (928212)Peak memory usage: 18 MB
% 6.89/2.52  % (928212)Instructions burned: 881 (million)
% 6.89/2.52  % (928224)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2748064806:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 6.89/2.52  % (928224)Cannot represent all propositional literals internally
% 6.89/2.52  % (928224)Refutation not found, incomplete strategy
% 6.89/2.52  % (928224)------------------------------
% 6.89/2.52  % (928224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.52  % (928224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.52  % (928224)CaDiCaL version: 2.1.3
% 6.89/2.52  % (928224)Termination reason: Refutation not found, incomplete strategy
% 6.89/2.52  % (928224)Time elapsed: 0.008 s
% 6.89/2.52  % (928224)Peak memory usage: 11 MB
% 6.89/2.52  % (928224)Instructions burned: 15 (million)
% 6.89/2.52  % (928224)------------------------------
% 6.89/2.52  % (928224)------------------------------
% 6.89/2.52  % (928226)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1461545161:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 6.89/2.52  % (928226)Cannot represent all propositional literals internally
% 6.89/2.52  % (928226)Refutation not found, incomplete strategy
% 6.89/2.52  % (928226)------------------------------
% 6.89/2.52  % (928226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.52  % (928226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.52  % (928226)CaDiCaL version: 2.1.3
% 6.89/2.52  % (928226)Termination reason: Refutation not found, incomplete strategy
% 6.89/2.52  % (928226)Time elapsed: 0.082 s
% 6.89/2.52  % (928226)Peak memory usage: 12 MB
% 6.89/2.52  % (928226)Instructions burned: 166 (million)
% 6.89/2.52  % (928226)------------------------------
% 6.89/2.52  % (928226)------------------------------
% 6.89/2.52  % (928228)ott-2_1_sil=16000:newcnf=on:random_seed=3991730095:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 6.89/2.52  % (928228)Instruction limit reached! 
% 6.89/2.52  % (928228)------------------------------
% 6.89/2.52  % (928228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.52  % (928228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.52  % (928228)CaDiCaL version: 2.1.3
% 6.89/2.52  % (928228)Termination reason: Instruction limit
% 6.89/2.52  % (928228)Termination phase: Saturation
% 6.89/2.52  % (928228)Time elapsed: 0.548 s
% 6.89/2.52  % (928228)Peak memory usage: 17 MB
% 6.89/2.52  % (928228)Instructions burned: 869 (million)
% 6.89/2.52  % (928230)ott+10_1_sil=32000:tgt=ground:random_seed=3195168303:i=5114:av=off_2982 on theBenchmark for (2982ds/5114Mi)
% 6.89/2.52  % (928222)Instruction limit reached! 
% 6.89/2.52  % (928222)------------------------------
% 6.89/2.52  % (928222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.52  % (928222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.52  % (928222)CaDiCaL version: 2.1.3
% 6.89/2.52  % (928222)Termination reason: Instruction limit
% 6.89/2.52  % (928222)Termination phase: Saturation
% 6.89/2.52  % (928222)Time elapsed: 0.952 s
% 6.89/2.52  % (928222)Peak memory usage: 34 MB
% 6.89/2.52  % (928222)Instructions burned: 1472 (million)
% 6.89/2.52  % (928232)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2425039943:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 6.89/2.52  % TRYING [1]
% 6.89/2.52  % TRYING [2]
% 6.89/2.52  % TRYING [3]
% 6.89/2.52  % (928230) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-928175-928230"...
% 6.89/2.52  % (928230)...printing done.
% 6.89/2.52  % (928230)Refutation found. Thanks to Tanya!
% 6.89/2.52  % SZS status Theorem for theBenchmark
% 6.89/2.52  % SZS output start Proof for theBenchmark
% See solution above
% 6.89/2.52  % (928230)------------------------------
% 6.89/2.52  % (928230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.52  % (928230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.52  % (928230)CaDiCaL version: 2.1.3
% 6.89/2.52  % (928230)Termination reason: Refutation
% 6.89/2.52  % (928230)Time elapsed: 0.307 s
% 6.89/2.52  % (928230)Peak memory usage: 18 MB
% 6.89/2.52  % (928230)Instructions burned: 482 (million)
% 6.89/2.52  % (928175)Success in time 2.091 s
% 6.89/2.52  % Vampire exiting
%------------------------------------------------------------------------------