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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO647+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:54:57 AM UTC 2026

% Result   : Theorem 15.68s 2.76s
% Output   : Refutation 15.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   88 (  12 unt;   0 def)
%            Number of atoms       :  228 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  232 (  92   ~;  90   |;  32   &)
%                                         (   0 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :  416 ( 402   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).

fof(f6,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( para(X0,X1,X2,X3)
        & para(X2,X3,X4,X5) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).

fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( midp(X3,X0,X2)
        & midp(X4,X1,X0)
        & midp(X5,X2,X1)
        & para(X0,X5,X6,X3)
        & para(X0,X2,X6,X5) )
     => para(X2,X4,X6,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0156) ).

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

fof(f103,plain,
    ! [X0,X1,X2,X3] :
      ( para(X2,X3,X0,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f104,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | ~ para(X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f105,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | ~ para(X2,X3,X4,X5) ),
    inference(flattening,[],[f104]) ).

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] :
      ( ~ para(X2,X4,X6,X1)
      & midp(X3,X0,X2)
      & midp(X4,X1,X0)
      & midp(X5,X2,X1)
      & para(X0,X5,X6,X3)
      & para(X0,X2,X6,X5) ),
    inference(ennf_transformation,[],[f96]) ).

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

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

fof(f275,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X2,X3)
      | para(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f276,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f105]) ).

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(f385,plain,
    para(sK20,sK25,sK26,sK23),
    inference(cnf_transformation,[],[f270]) ).

fof(f389,plain,
    ~ para(sK22,sK24,sK26,sK21),
    inference(cnf_transformation,[],[f270]) ).

fof(f407,plain,
    para(sK26,sK23,sK20,sK25),
    inference(resolution,[],[f275,f385]) ).

fof(f503,plain,
    ! [X0,X1] :
      ( ~ para(X0,X1,sK20,sK25)
      | para(X0,X1,sK26,sK23) ),
    inference(resolution,[],[f276,f385]) ).

fof(f574,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X0,X1,X1,X2,X3,X0,X3,X2)
      | ~ cyclic(X0,X2,X1,X3) ),
    inference(resolution,[],[f288,f311]) ).

fof(f579,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(f593,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(f1150,plain,
    para(sK26,sK23,sK26,sK23),
    inference(resolution,[],[f503,f407]) ).

fof(f1319,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X3,X0,X3,X1,X0,X2,X2,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f574,f290]) ).

fof(f1373,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | para(X2,X3,X2,X3) ),
    inference(resolution,[],[f579,f309]) ).

fof(f1552,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | ~ coll(X0,X2,X1) ),
    inference(resolution,[],[f593,f313]) ).

fof(f1553,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | coll(X0,X2,X1) ),
    inference(resolution,[],[f593,f312]) ).

fof(f1563,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2) ),
    inference(forward_subsumption_resolution,[],[f1552,f1553]) ).

fof(f6351,plain,
    ! [X0,X1] : para(X0,X1,X0,X1),
    inference(resolution,[],[f1373,f1150]) ).

fof(f6551,plain,
    ! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
    inference(resolution,[],[f1563,f6351]) ).

fof(f7300,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X0,X1,X2)
      | cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f6551,f287]) ).

fof(f7330,plain,
    ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
    inference(forward_subsumption_resolution,[],[f7300,f6551]) ).

fof(f8314,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,[],[f1319,f314]) ).

fof(f8325,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,[],[f8314]) ).

fof(f8326,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | ~ cyclic(X0,X1,X2,X0)
      | cong(X0,X1,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f8325,f7330]) ).

fof(f8336,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | cong(X0,X1,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f8326,f7330]) ).

fof(f8338,plain,
    ! [X0,X1] : cong(X0,X1,X0,X1),
    inference(forward_subsumption_resolution,[],[f8336,f7330]) ).

fof(f8346,plain,
    ! [X2,X0,X1] :
      ( ~ cong(X0,X1,X0,X1)
      | perp(X0,X0,X1,X2) ),
    inference(resolution,[],[f8338,f327]) ).

fof(f8385,plain,
    ! [X2,X0,X1] : perp(X0,X0,X1,X2),
    inference(forward_subsumption_resolution,[],[f8346,f8338]) ).

fof(f9788,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ perp(X0,X1,X2,X2)
      | para(X0,X1,X3,X4) ),
    inference(resolution,[],[f8385,f279]) ).

fof(f9790,plain,
    ! [X2,X0,X1] : perp(X0,X1,X2,X2),
    inference(resolution,[],[f8385,f278]) ).

fof(f9795,plain,
    ! [X3,X0,X1,X4] : para(X0,X1,X3,X4),
    inference(forward_subsumption_resolution,[],[f9788,f9790]) ).

fof(f10134,plain,
    $false,
    inference(resolution,[],[f9795,f389]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO647+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.37  % Computer : n026.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8046.5625MB
% 0.13/0.37  % OS       : Linux 6.8.0-71-generic
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Sun Sep 27 08:45:41 UTC 2026
% 0.13/0.38  % CPUTime  : 
% 0.13/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40  Running first-order model finding
% 0.13/0.40  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.03/1.70  % (2536223)Will run a generic schedule for satisfiability detection.
% 8.03/1.70  % (2536230)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=315791917:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.03/1.70  % (2536229)% WARNING: option uhcvi not known.
% 8.03/1.70  % (2536228)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=916197701_2999 on theBenchmark for (2999ds/0Mi)
% 8.03/1.70  % (2536231)dis+10_1_sil=32000:sp=arity:random_seed=84320297:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.03/1.70  % (2536232)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2746671129:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.03/1.70  % (2536233)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3704964930:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.03/1.70  % (2536234)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3620782797:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.03/1.70  % (2536229)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=819184912:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.03/1.70  % TRYING [1]
% 8.03/1.70  % TRYING [2]
% 8.03/1.70  % TRYING [3]
% 8.03/1.70  % (2536231)Instruction limit reached! 
% 8.03/1.70  % (2536231)------------------------------
% 8.03/1.70  % (2536231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.70  % (2536231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.70  % (2536231)CaDiCaL version: 2.1.3
% 8.03/1.70  % (2536231)Termination reason: Instruction limit
% 8.03/1.70  % (2536231)Termination phase: Saturation
% 8.03/1.70  % (2536231)Time elapsed: 0.067 s
% 8.03/1.70  % (2536231)Peak memory usage: 12 MB
% 8.03/1.70  % (2536231)Instructions burned: 103 (million)
% 8.03/1.70  % (2536232)Instruction limit reached! 
% 8.03/1.70  % (2536232)------------------------------
% 8.03/1.70  % (2536232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.70  % (2536232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.70  % (2536232)CaDiCaL version: 2.1.3
% 8.03/1.70  % (2536232)Termination reason: Instruction limit
% 8.03/1.70  % (2536232)Termination phase: Saturation
% 8.03/1.70  % (2536232)Time elapsed: 0.070 s
% 8.03/1.70  % (2536232)Peak memory usage: 13 MB
% 8.03/1.70  % (2536232)Instructions burned: 116 (million)
% 8.03/1.70  % (2536233)Instruction limit reached! 
% 8.03/1.70  % (2536233)------------------------------
% 8.03/1.70  % (2536233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.70  % (2536233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.70  % (2536233)CaDiCaL version: 2.1.3
% 8.03/1.70  % (2536233)Termination reason: Instruction limit
% 8.03/1.70  % (2536233)Termination phase: Saturation
% 8.03/1.70  % (2536233)Time elapsed: 0.081 s
% 8.03/1.70  % (2536233)Peak memory usage: 14 MB
% 8.03/1.70  % (2536233)Instructions burned: 131 (million)
% 8.03/1.70  % (2536242)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=173777750:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.03/1.70  % (2536243)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3294538360:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.03/1.70  % (2536234)Instruction limit reached! 
% 8.03/1.70  % (2536234)------------------------------
% 8.03/1.70  % (2536234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.70  % (2536234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.70  % (2536234)CaDiCaL version: 2.1.3
% 8.03/1.70  % (2536234)Termination reason: Instruction limit
% 8.03/1.70  % (2536234)Termination phase: Saturation
% 8.03/1.70  % (2536234)Time elapsed: 0.095 s
% 8.03/1.70  % (2536234)Peak memory usage: 13 MB
% 8.03/1.70  % (2536234)Instructions burned: 160 (million)
% 8.03/1.70  % TRYING [1]
% 8.03/1.70  % TRYING [2]
% 8.03/1.70  % (2536244)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=521247999:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.03/1.70  % (2536247)ott-21_1_sil=16000:fs=off:random_seed=3272021254:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.03/1.70  % TRYING [3]
% 8.03/1.70  % (2536243)Instruction limit reached! 
% 8.03/1.70  % (2536243)------------------------------
% 8.03/1.70  % (2536243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.70  % (2536243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/2.76  % (2536243)CaDiCaL version: 2.1.3
% 15.68/2.76  % (2536243)Termination reason: Instruction limit
% 15.68/2.76  % (2536243)Termination phase: Saturation
% 15.68/2.76  % (2536243)Time elapsed: 0.082 s
% 15.68/2.76  % (2536243)Peak memory usage: 14 MB
% 15.68/2.76  % (2536243)Instructions burned: 131 (million)
% 15.68/2.76  % (2536250)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3725296124:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 15.68/2.76  % (2536247)Instruction limit reached! 
% 15.68/2.76  % (2536247)------------------------------
% 15.68/2.76  % (2536247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.68/2.76  % (2536247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/2.76  % (2536247)CaDiCaL version: 2.1.3
% 15.68/2.76  % (2536247)Termination reason: Instruction limit
% 15.68/2.76  % (2536247)Termination phase: Saturation
% 15.68/2.76  % (2536247)Time elapsed: 0.096 s
% 15.68/2.76  % (2536247)Peak memory usage: 13 MB
% 15.68/2.76  % (2536247)Instructions burned: 182 (million)
% 15.68/2.76  % (2536252)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=367576532:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 15.68/2.76  % TRYING [1]
% 15.68/2.76  % TRYING [2]
% 15.68/2.76  % TRYING [3]
% 15.68/2.76  % (2536242)Instruction limit reached! 
% 15.68/2.76  % (2536242)------------------------------
% 15.68/2.76  % (2536242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.68/2.76  % (2536242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/2.76  % (2536242)CaDiCaL version: 2.1.3
% 15.68/2.76  % (2536242)Termination reason: Instruction limit
% 15.68/2.76  % (2536242)Termination phase: Finite model building constraint generation
% 15.68/2.76  % (2536242)Time elapsed: 0.248 s
% 15.68/2.76  % (2536242)Peak memory usage: 25 MB
% 15.68/2.76  % (2536242)Instructions burned: 716 (million)
% 15.68/2.76  % (2536254)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1321939088:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 15.68/2.76  % (2536250)Instruction limit reached! 
% 15.68/2.76  % (2536250)------------------------------
% 15.68/2.76  % (2536250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.68/2.76  % (2536250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/2.76  % (2536250)CaDiCaL version: 2.1.3
% 15.68/2.76  % (2536250)Termination reason: Instruction limit
% 15.68/2.76  % (2536250)Termination phase: Saturation
% 15.68/2.76  % (2536250)Time elapsed: 0.304 s
% 15.68/2.76  % (2536250)Peak memory usage: 14 MB
% 15.68/2.76  % (2536250)Instructions burned: 478 (million)
% 15.68/2.76  % (2536244)Instruction limit reached! 
% 15.68/2.76  % (2536244)------------------------------
% 15.68/2.76  % (2536244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.68/2.76  % (2536244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/2.76  % (2536244)CaDiCaL version: 2.1.3
% 15.68/2.76  % (2536244)Termination reason: Instruction limit
% 15.68/2.76  % (2536244)Termination phase: Saturation
% 15.68/2.76  % (2536244)Time elapsed: 0.401 s
% 15.68/2.76  % (2536244)Peak memory usage: 20 MB
% 15.68/2.76  % (2536244)Instructions burned: 685 (million)
% 15.68/2.76  % (2536256)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=178172288:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 15.68/2.76  % (2536256)Cannot represent all propositional literals internally
% 15.68/2.76  % (2536256)Refutation not found, incomplete strategy
% 15.68/2.76  % (2536256)------------------------------
% 15.68/2.76  % (2536256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.68/2.76  % (2536256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/2.76  % (2536256)CaDiCaL version: 2.1.3
% 15.68/2.76  % (2536256)Termination reason: Refutation not found, incomplete strategy
% 15.68/2.76  % (2536256)Time elapsed: 0.006 s
% 15.68/2.76  % (2536256)Peak memory usage: 10 MB
% 15.68/2.76  % (2536256)Instructions burned: 12 (million)
% 15.68/2.76  % (2536257)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=3213969528: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)
% 15.68/2.76  % (2536256)------------------------------
% 15.68/2.76  % (2536256)------------------------------
% 15.68/2.76  % (2536252)Instruction limit reached! 
% 15.68/2.76  % (2536252)------------------------------
% 15.68/2.76  % (2536252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.68/2.76  % (2536252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/2.76  % (2536252)CaDiCaL version: 2.1.3
% 15.68/2.76  % (2536252)Termination reason: Instruction limit
% 15.68/2.76  % (2536252)Termination phase: Finite model building constraint generation
% 15.68/2.76  % (2536252)Time elapsed: 0.301 s
% 15.68/2.76  % (2536252)Peak memory usage: 51 MB
% 15.68/2.76  % (2536252)Instructions burned: 868 (million)
% 15.68/2.76  % (2536260)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3117069441:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 15.68/2.76  % (2536261)fmb+10_1_sil=64000:random_seed=3327922004:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 15.68/2.76  % TRYING [1]
% 15.68/2.76  % TRYING [2]
% 15.68/2.76  % TRYING [3]
% 15.68/2.76  % (2536257)Instruction limit reached! 
% 15.68/2.76  % (2536257)------------------------------
% 15.68/2.76  % (2536257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.68/2.76  % (2536257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/2.76  % (2536257)CaDiCaL version: 2.1.3
% 15.68/2.76  % (2536257)Termination reason: Instruction limit
% 15.68/2.76  % (2536257)Termination phase: Saturation
% 15.68/2.76  % (2536257)Time elapsed: 0.378 s
% 15.68/2.76  % (2536257)Peak memory usage: 16 MB
% 15.68/2.76  % (2536257)Instructions burned: 693 (million)
% 15.68/2.76  % (2536264)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2903086505:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 15.68/2.76  % (2536264)Cannot represent all propositional literals internally
% 15.68/2.76  % (2536264)Refutation not found, incomplete strategy
% 15.68/2.76  % (2536264)------------------------------
% 15.68/2.76  % (2536264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.68/2.76  % (2536264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/2.76  % (2536264)CaDiCaL version: 2.1.3
% 15.68/2.76  % (2536264)Termination reason: Refutation not found, incomplete strategy
% 15.68/2.76  % (2536264)Time elapsed: 0.006 s
% 15.68/2.76  % (2536264)Peak memory usage: 10 MB
% 15.68/2.76  % (2536264)Instructions burned: 12 (million)
% 15.68/2.76  % (2536264)------------------------------
% 15.68/2.76  % (2536264)------------------------------
% 15.68/2.76  % (2536266)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=522405429:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 15.68/2.76  % TRYING [8]
% 15.68/2.76  % (2536260)Instruction limit reached! 
% 15.68/2.76  % (2536260)------------------------------
% 15.68/2.76  % (2536260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.68/2.76  % (2536260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/2.76  % (2536260)CaDiCaL version: 2.1.3
% 15.68/2.76  % (2536260)Termination reason: Instruction limit
% 15.68/2.76  % (2536260)Termination phase: Saturation
% 15.68/2.76  % (2536260)Time elapsed: 0.496 s
% 15.68/2.76  % (2536260)Peak memory usage: 17 MB
% 15.68/2.76  % (2536260)Instructions burned: 879 (million)
% 15.68/2.76  % (2536268)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3116673219:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 15.68/2.76  % (2536254)Instruction limit reached! 
% 15.68/2.76  % (2536254)------------------------------
% 15.68/2.76  % (2536254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.68/2.76  % (2536254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/2.76  % (2536254)CaDiCaL version: 2.1.3
% 15.68/2.76  % (2536254)Termination reason: Instruction limit
% 15.68/2.76  % (2536254)Termination phase: Saturation
% 15.68/2.76  % (2536254)Time elapsed: 0.729 s
% 15.68/2.76  % (2536254)Peak memory usage: 23 MB
% 15.68/2.76  % (2536254)Instructions burned: 1179 (million)
% 15.68/2.76  % (2536270)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3163932682:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 15.68/2.76  % (2536266)Instruction limit reached! 
% 15.68/2.76  % (2536266)------------------------------
% 15.68/2.76  % (2536266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.68/2.76  % (2536266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/2.76  % (2536266)CaDiCaL version: 2.1.3
% 15.68/2.76  % (2536266)Termination reason: Instruction limit
% 15.68/2.76  % (2536266)Termination phase: Finite model building constraint generation
% 15.68/2.76  % (2536266)Time elapsed: 0.282 s
% 15.68/2.76  % (2536266)Peak memory usage: 45 MB
% 15.68/2.76  % (2536266)Instructions burned: 922 (million)
% 15.68/2.76  % (2536272)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1903593099:i=6324_2987 on theBenchmark for (2987ds/6324Mi)
% 15.68/2.76  % (2536272)Cannot represent all propositional literals internally
% 15.68/2.76  % (2536272)Refutation not found, incomplete strategy
% 15.68/2.76  % (2536272)------------------------------
% 15.68/2.76  % (2536272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.68/2.76  % (2536272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/2.76  % (2536272)CaDiCaL version: 2.1.3
% 15.68/2.76  % (2536272)Termination reason: Refutation not found, incomplete strategy
% 15.68/2.76  % (2536272)Time elapsed: 0.008 s
% 15.68/2.76  % (2536272)Peak memory usage: 11 MB
% 15.68/2.76  % (2536272)Instructions burned: 15 (million)
% 15.68/2.76  % (2536272)------------------------------
% 15.68/2.76  % (2536272)------------------------------
% 15.68/2.76  % (2536274)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2397152491:fmbsr=2.30978:i=2174_2987 on theBenchmark for (2987ds/2174Mi)
% 15.68/2.76  % (2536274)Cannot represent all propositional literals internally
% 15.68/2.76  % (2536274)Refutation not found, incomplete strategy
% 15.68/2.76  % (2536274)------------------------------
% 15.68/2.76  % (2536274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.68/2.76  % (2536274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/2.76  % (2536274)CaDiCaL version: 2.1.3
% 15.68/2.76  % (2536274)Termination reason: Refutation not found, incomplete strategy
% 15.68/2.76  % (2536274)Time elapsed: 0.082 s
% 15.68/2.76  % (2536274)Peak memory usage: 12 MB
% 15.68/2.76  % (2536274)Instructions burned: 165 (million)
% 15.68/2.76  % (2536274)------------------------------
% 15.68/2.76  % (2536274)------------------------------
% 15.68/2.76  % (2536276)ott-2_1_sil=16000:newcnf=on:random_seed=2666534585:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2986 on theBenchmark for (2986ds/869Mi)
% 15.68/2.76  % (2536276)Instruction limit reached! 
% 15.68/2.76  % (2536276)------------------------------
% 15.68/2.76  % (2536276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.68/2.76  % (2536276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/2.76  % (2536276)CaDiCaL version: 2.1.3
% 15.68/2.76  % (2536276)Termination reason: Instruction limit
% 15.68/2.76  % (2536276)Termination phase: Saturation
% 15.68/2.76  % (2536276)Time elapsed: 0.554 s
% 15.68/2.76  % (2536276)Peak memory usage: 16 MB
% 15.68/2.76  % (2536276)Instructions burned: 869 (million)
% 15.68/2.76  % (2536278)ott+10_1_sil=32000:tgt=ground:random_seed=1453060086:i=5114:av=off_2980 on theBenchmark for (2980ds/5114Mi)
% 15.68/2.76  % (2536270)Instruction limit reached! 
% 15.68/2.76  % (2536270)------------------------------
% 15.68/2.76  % (2536270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.68/2.76  % (2536270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/2.76  % (2536270)CaDiCaL version: 2.1.3
% 15.68/2.76  % (2536270)Termination reason: Instruction limit
% 15.68/2.76  % (2536270)Termination phase: Saturation
% 15.68/2.76  % (2536270)Time elapsed: 0.902 s
% 15.68/2.76  % (2536270)Peak memory usage: 27 MB
% 15.68/2.76  % (2536270)Instructions burned: 1473 (million)
% 15.68/2.76  % (2536280)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2709635671:i=54282_2979 on theBenchmark for (2979ds/54282Mi)
% 15.68/2.76  % TRYING [1]
% 15.68/2.76  % TRYING [2]
% 15.68/2.76  % TRYING [3]
% 15.68/2.76  % (2536278) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2536223-2536278"...
% 15.68/2.76  % (2536278)...printing done.
% 15.68/2.76  % (2536278)Refutation found. Thanks to Tanya!
% 15.68/2.76  % SZS status Theorem for theBenchmark
% 15.68/2.76  % SZS output start Proof for theBenchmark
% See solution above
% 15.68/2.77  % (2536278)------------------------------
% 15.68/2.77  % (2536278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.68/2.77  % (2536278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/2.77  % (2536278)CaDiCaL version: 2.1.3
% 15.68/2.77  % (2536278)Termination reason: Refutation
% 15.68/2.77  % (2536278)Time elapsed: 0.323 s
% 15.68/2.77  % (2536278)Peak memory usage: 18 MB
% 15.68/2.77  % (2536278)Instructions burned: 506 (million)
% 15.68/2.77  % (2536223)Success in time 2.354 s
% 15.68/2.77  % Vampire exiting
%------------------------------------------------------------------------------