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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO658+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 : n001.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 09:54:59 AM UTC 2026

% Result   : Theorem 23.61s 3.96s
% Output   : Refutation 23.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   81 (  12 unt;   0 def)
%            Number of atoms       :  240 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  243 (  84   ~;  82   |;  61   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-8 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :  388 ( 370   !;  18   ?)

% 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] :
      ( ( para(X0,X1,X2,X3)
        & para(X0,X2,X1,X3)
        & coll(X4,X0,X2)
        & perp(X5,X4,X2,X3)
        & coll(X5,X2,X3)
        & perp(X6,X4,X1,X2)
        & coll(X6,X1,X2)
        & coll(X7,X4,X6)
        & coll(X7,X0,X3)
        & coll(X8,X4,X5)
        & coll(X8,X0,X1) )
     => para(X6,X5,X7,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02316) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
        ( ( para(X0,X1,X2,X3)
          & para(X0,X2,X1,X3)
          & coll(X4,X0,X2)
          & perp(X5,X4,X2,X3)
          & coll(X5,X2,X3)
          & perp(X6,X4,X1,X2)
          & coll(X6,X1,X2)
          & coll(X7,X4,X6)
          & coll(X7,X0,X3)
          & coll(X8,X4,X5)
          & coll(X8,X0,X1) )
       => para(X6,X5,X7,X8) ),
    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] :
      ( ~ para(X6,X5,X7,X8)
      & para(X0,X1,X2,X3)
      & para(X0,X2,X1,X3)
      & coll(X4,X0,X2)
      & perp(X5,X4,X2,X3)
      & coll(X5,X2,X3)
      & perp(X6,X4,X1,X2)
      & coll(X6,X1,X2)
      & coll(X7,X4,X6)
      & coll(X7,X0,X3)
      & coll(X8,X4,X5)
      & coll(X8,X0,X1) ),
    inference(ennf_transformation,[],[f96]) ).

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

fof(f270,plain,
    ( ~ para(sK26,sK25,sK27,sK28)
    & para(sK20,sK21,sK22,sK23)
    & para(sK20,sK22,sK21,sK23)
    & coll(sK24,sK20,sK22)
    & perp(sK25,sK24,sK22,sK23)
    & coll(sK25,sK22,sK23)
    & perp(sK26,sK24,sK21,sK22)
    & coll(sK26,sK21,sK22)
    & coll(sK27,sK24,sK26)
    & coll(sK27,sK20,sK23)
    & coll(sK28,sK24,sK25)
    & coll(sK28,sK20,sK21) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28]),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)],[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(f389,plain,
    perp(sK26,sK24,sK21,sK22),
    inference(cnf_transformation,[],[f270]) ).

fof(f395,plain,
    ~ para(sK26,sK25,sK27,sK28),
    inference(cnf_transformation,[],[f270]) ).

fof(f432,plain,
    perp(sK21,sK22,sK26,sK24),
    inference(resolution,[],[f278,f389]) ).

fof(f577,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK21,sK22)
      | para(X0,X1,sK26,sK24) ),
    inference(resolution,[],[f432,f279]) ).

fof(f604,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X0,X1,X1,X2,X3,X0,X3,X2)
      | ~ cyclic(X0,X2,X1,X3) ),
    inference(resolution,[],[f288,f311]) ).

fof(f611,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(f628,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(f1369,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X3,X0,X3,X1,X0,X2,X2,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f604,f290]) ).

fof(f1426,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | para(X2,X3,X2,X3) ),
    inference(resolution,[],[f611,f309]) ).

fof(f1604,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | ~ coll(X0,X2,X1) ),
    inference(resolution,[],[f628,f313]) ).

fof(f1605,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | coll(X0,X2,X1) ),
    inference(resolution,[],[f628,f312]) ).

fof(f1615,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2) ),
    inference(forward_subsumption_resolution,[],[f1604,f1605]) ).

fof(f4761,plain,
    para(sK26,sK24,sK26,sK24),
    inference(resolution,[],[f577,f389]) ).

fof(f6742,plain,
    ! [X0,X1] : para(X0,X1,X0,X1),
    inference(resolution,[],[f1426,f4761]) ).

fof(f6898,plain,
    ! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
    inference(resolution,[],[f6742,f1615]) ).

fof(f8313,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X0,X1,X2)
      | cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f6898,f287]) ).

fof(f8343,plain,
    ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
    inference(forward_subsumption_resolution,[],[f8313,f6898]) ).

fof(f8370,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,[],[f1369,f314]) ).

fof(f8381,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,[],[f8370]) ).

fof(f8382,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | ~ cyclic(X0,X1,X2,X0)
      | cong(X0,X1,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f8381,f8343]) ).

fof(f8392,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | cong(X0,X1,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f8382,f8343]) ).

fof(f8394,plain,
    ! [X0,X1] : cong(X0,X1,X0,X1),
    inference(forward_subsumption_resolution,[],[f8392,f8343]) ).

fof(f8422,plain,
    ! [X2,X0,X1] :
      ( ~ cong(X0,X1,X0,X1)
      | perp(X0,X0,X1,X2) ),
    inference(resolution,[],[f8394,f327]) ).

fof(f8447,plain,
    ! [X2,X0,X1] : perp(X0,X0,X1,X2),
    inference(forward_subsumption_resolution,[],[f8422,f8394]) ).

fof(f9140,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ perp(X0,X1,X2,X2)
      | para(X0,X1,X3,X4) ),
    inference(resolution,[],[f8447,f279]) ).

fof(f9142,plain,
    ! [X2,X0,X1] : perp(X0,X1,X2,X2),
    inference(resolution,[],[f8447,f278]) ).

fof(f9153,plain,
    ! [X3,X0,X1,X4] : para(X0,X1,X3,X4),
    inference(forward_subsumption_resolution,[],[f9140,f9142]) ).

fof(f12350,plain,
    $false,
    inference(resolution,[],[f9153,f395]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : GEO658+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.42  % Computer : n001.cluster.edu
% 0.15/0.42  % Model    : x86_64 x86_64
% 0.15/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42  % Memory   : 8046.5625MB
% 0.15/0.42  % OS       : Linux 6.8.0-71-generic
% 0.15/0.43  % CPULimit : 300
% 0.15/0.43  % WCLimit  : 300
% 0.15/0.43  % DateTime : Sun Sep 27 08:50:46 UTC 2026
% 0.15/0.43  % CPUTime  : 
% 0.15/0.43  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.48  Running first-order model finding
% 0.22/0.48  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
% 13.82/2.67  % (3256088)Will run a generic schedule for satisfiability detection.
% 13.82/2.67  % (3256093)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2871982647_2999 on theBenchmark for (2999ds/0Mi)
% 13.82/2.67  % (3256095)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1728665804:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.82/2.67  % TRYING [1]
% 13.82/2.67  % TRYING [2]
% 13.82/2.67  % (3256094)% WARNING: option uhcvi not known.
% 13.82/2.67  % (3256094)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1009570616:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.82/2.67  % (3256096)dis+10_1_sil=32000:sp=arity:random_seed=3039903250:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.82/2.67  % (3256097)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1430110704:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.82/2.67  % (3256099)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3989184802:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.82/2.67  % (3256098)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2923008443:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.82/2.67  % TRYING [3]
% 13.82/2.67  % (3256096)Instruction limit reached! 
% 13.82/2.67  % (3256096)------------------------------
% 13.82/2.67  % (3256096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.82/2.67  % (3256096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/2.67  % (3256096)CaDiCaL version: 2.1.3
% 13.82/2.67  % (3256096)Termination reason: Instruction limit
% 13.82/2.67  % (3256096)Termination phase: Saturation
% 13.82/2.67  % (3256096)Time elapsed: 0.110 s
% 13.82/2.67  % (3256096)Peak memory usage: 12 MB
% 13.82/2.67  % (3256096)Instructions burned: 103 (million)
% 13.82/2.67  % (3256097)Instruction limit reached! 
% 13.82/2.67  % (3256097)------------------------------
% 13.82/2.67  % (3256097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.82/2.67  % (3256097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/2.67  % (3256097)CaDiCaL version: 2.1.3
% 13.82/2.67  % (3256097)Termination reason: Instruction limit
% 13.82/2.67  % (3256097)Termination phase: Saturation
% 13.82/2.67  % (3256097)Time elapsed: 0.110 s
% 13.82/2.67  % (3256097)Peak memory usage: 13 MB
% 13.82/2.67  % (3256097)Instructions burned: 117 (million)
% 13.82/2.67  % (3256098)Instruction limit reached! 
% 13.82/2.67  % (3256098)------------------------------
% 13.82/2.67  % (3256098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.82/2.67  % (3256098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/2.67  % (3256098)CaDiCaL version: 2.1.3
% 13.82/2.67  % (3256098)Termination reason: Instruction limit
% 13.82/2.67  % (3256098)Termination phase: Saturation
% 13.82/2.67  % (3256098)Time elapsed: 0.135 s
% 13.82/2.67  % (3256098)Peak memory usage: 14 MB
% 13.82/2.67  % (3256098)Instructions burned: 131 (million)
% 13.82/2.67  % (3256107)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1461143083:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 13.82/2.67  % (3256108)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2434897377:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 13.82/2.67  % TRYING [1]
% 13.82/2.67  % TRYING [2]
% 13.82/2.67  % (3256099)Instruction limit reached! 
% 13.82/2.67  % (3256099)------------------------------
% 13.82/2.67  % (3256099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.82/2.67  % (3256099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/2.67  % (3256099)CaDiCaL version: 2.1.3
% 13.82/2.67  % (3256099)Termination reason: Instruction limit
% 13.82/2.67  % (3256099)Termination phase: Saturation
% 13.82/2.67  % (3256099)Time elapsed: 0.164 s
% 13.82/2.67  % (3256099)Peak memory usage: 15 MB
% 13.82/2.67  % (3256099)Instructions burned: 159 (million)
% 13.82/2.67  % (3256109)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=1260403031:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.82/2.67  % (3256113)ott-21_1_sil=16000:fs=off:random_seed=4199169113:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 13.82/2.67  % TRYING [3]
% 13.82/2.67  % (3256108)Instruction limit reached! 
% 13.82/2.67  % (3256108)------------------------------
% 13.82/2.67  % (3256108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.82/2.67  % (3256108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.61/3.96  % (3256108)CaDiCaL version: 2.1.3
% 23.61/3.96  % (3256108)Termination reason: Instruction limit
% 23.61/3.96  % (3256108)Termination phase: Saturation
% 23.61/3.96  % (3256108)Time elapsed: 0.129 s
% 23.61/3.96  % (3256108)Peak memory usage: 14 MB
% 23.61/3.96  % (3256108)Instructions burned: 132 (million)
% 23.61/3.96  % (3256119)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2362492001:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 23.61/3.96  % (3256113)Instruction limit reached! 
% 23.61/3.96  % (3256113)------------------------------
% 23.61/3.96  % (3256113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.61/3.96  % (3256113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.61/3.96  % (3256113)CaDiCaL version: 2.1.3
% 23.61/3.96  % (3256113)Termination reason: Instruction limit
% 23.61/3.96  % (3256113)Termination phase: Saturation
% 23.61/3.96  % (3256113)Time elapsed: 0.134 s
% 23.61/3.96  % (3256113)Peak memory usage: 13 MB
% 23.61/3.96  % (3256113)Instructions burned: 180 (million)
% 23.61/3.96  % (3256121)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=357831229:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 23.61/3.96  % TRYING [1]
% 23.61/3.96  % TRYING [2]
% 23.61/3.96  % TRYING [3]
% 23.61/3.96  % (3256107)Instruction limit reached! 
% 23.61/3.96  % (3256107)------------------------------
% 23.61/3.96  % (3256107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.61/3.96  % (3256107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.61/3.96  % (3256107)CaDiCaL version: 2.1.3
% 23.61/3.96  % (3256107)Termination reason: Instruction limit
% 23.61/3.96  % (3256107)Termination phase: Finite model building constraint generation
% 23.61/3.96  % (3256107)Time elapsed: 0.413 s
% 23.61/3.96  % (3256107)Peak memory usage: 25 MB
% 23.61/3.96  % (3256107)Instructions burned: 717 (million)
% 23.61/3.96  % (3256127)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3669515014:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 23.61/3.96  % (3256119)Instruction limit reached! 
% 23.61/3.96  % (3256119)------------------------------
% 23.61/3.96  % (3256119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.61/3.96  % (3256119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.61/3.96  % (3256119)CaDiCaL version: 2.1.3
% 23.61/3.96  % (3256119)Termination reason: Instruction limit
% 23.61/3.96  % (3256119)Termination phase: Saturation
% 23.61/3.96  % (3256119)Time elapsed: 0.464 s
% 23.61/3.96  % (3256119)Peak memory usage: 14 MB
% 23.61/3.96  % (3256119)Instructions burned: 478 (million)
% 23.61/3.96  % (3256129)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=580877492:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 23.61/3.96  % (3256129)Cannot represent all propositional literals internally
% 23.61/3.96  % (3256129)Refutation not found, incomplete strategy
% 23.61/3.96  % (3256129)------------------------------
% 23.61/3.96  % (3256129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.61/3.96  % (3256129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.61/3.96  % (3256129)CaDiCaL version: 2.1.3
% 23.61/3.96  % (3256129)Termination reason: Refutation not found, incomplete strategy
% 23.61/3.96  % (3256129)Time elapsed: 0.011 s
% 23.61/3.96  % (3256129)Peak memory usage: 10 MB
% 23.61/3.96  % (3256129)Instructions burned: 13 (million)
% 23.61/3.96  % (3256129)------------------------------
% 23.61/3.96  % (3256129)------------------------------
% 23.61/3.96  % (3256132)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=3007508894:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 23.61/3.96  % (3256109)Instruction limit reached! 
% 23.61/3.96  % (3256109)------------------------------
% 23.61/3.96  % (3256109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.61/3.96  % (3256109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.61/3.96  % (3256109)CaDiCaL version: 2.1.3
% 23.61/3.96  % (3256109)Termination reason: Instruction limit
% 23.61/3.96  % (3256109)Termination phase: Saturation
% 23.61/3.96  % (3256109)Time elapsed: 0.672 s
% 23.61/3.96  % (3256109)Peak memory usage: 19 MB
% 23.61/3.96  % (3256109)Instructions burned: 684 (million)
% 23.61/3.96  % (3256135)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3590145950:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 23.61/3.96  % (3256121)Instruction limit reached! 
% 23.61/3.96  % (3256121)------------------------------
% 23.61/3.96  % (3256121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.61/3.96  % (3256121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.61/3.96  % (3256121)CaDiCaL version: 2.1.3
% 23.61/3.96  % (3256121)Termination reason: Instruction limit
% 23.61/3.96  % (3256121)Termination phase: Finite model building constraint generation
% 23.61/3.96  % (3256121)Time elapsed: 0.565 s
% 23.61/3.96  % (3256121)Peak memory usage: 51 MB
% 23.61/3.96  % (3256121)Instructions burned: 866 (million)
% 23.61/3.96  % (3256139)fmb+10_1_sil=64000:random_seed=3356097858:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 23.61/3.96  % TRYING [1]
% 23.61/3.96  % TRYING [2]
% 23.61/3.96  % TRYING [3]
% 23.61/3.96  % (3256132)Instruction limit reached! 
% 23.61/3.96  % (3256132)------------------------------
% 23.61/3.96  % (3256132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.61/3.96  % (3256132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.61/3.96  % (3256132)CaDiCaL version: 2.1.3
% 23.61/3.96  % (3256132)Termination reason: Instruction limit
% 23.61/3.96  % (3256132)Termination phase: Saturation
% 23.61/3.96  % (3256132)Time elapsed: 0.637 s
% 23.61/3.96  % (3256132)Peak memory usage: 23 MB
% 23.61/3.96  % (3256132)Instructions burned: 692 (million)
% 23.61/3.96  % (3256143)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1287669391:i=9515:nm=5_2984 on theBenchmark for (2984ds/9515Mi)
% 23.61/3.96  % (3256143)Cannot represent all propositional literals internally
% 23.61/3.96  % (3256143)Refutation not found, incomplete strategy
% 23.61/3.96  % (3256143)------------------------------
% 23.61/3.96  % (3256143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.61/3.96  % (3256143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.61/3.96  % (3256143)CaDiCaL version: 2.1.3
% 23.61/3.96  % (3256143)Termination reason: Refutation not found, incomplete strategy
% 23.61/3.96  % (3256143)Time elapsed: 0.011 s
% 23.61/3.96  % (3256143)Peak memory usage: 10 MB
% 23.61/3.96  % (3256143)Instructions burned: 13 (million)
% 23.61/3.96  % (3256143)------------------------------
% 23.61/3.96  % (3256143)------------------------------
% 23.61/3.96  % (3256145)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1984796143:fmbsr=1.7:i=920_2984 on theBenchmark for (2984ds/920Mi)
% 23.61/3.96  % TRYING [8]
% 23.61/3.96  % (3256135)Instruction limit reached! 
% 23.61/3.96  % (3256135)------------------------------
% 23.61/3.96  % (3256135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.61/3.96  % (3256135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.61/3.96  % (3256135)CaDiCaL version: 2.1.3
% 23.61/3.96  % (3256135)Termination reason: Instruction limit
% 23.61/3.96  % (3256135)Termination phase: Saturation
% 23.61/3.96  % (3256135)Time elapsed: 0.807 s
% 23.61/3.96  % (3256135)Peak memory usage: 18 MB
% 23.61/3.96  % (3256135)Instructions burned: 881 (million)
% 23.61/3.96  % (3256147)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1297632007:i=5131_2982 on theBenchmark for (2982ds/5131Mi)
% 23.61/3.96  % (3256127)Instruction limit reached! 
% 23.61/3.96  % (3256127)------------------------------
% 23.61/3.96  % (3256127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.61/3.96  % (3256127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.61/3.96  % (3256127)CaDiCaL version: 2.1.3
% 23.61/3.96  % (3256127)Termination reason: Instruction limit
% 23.61/3.96  % (3256127)Termination phase: Saturation
% 23.61/3.96  % (3256127)Time elapsed: 1.152 s
% 23.61/3.96  % (3256127)Peak memory usage: 23 MB
% 23.61/3.96  % (3256127)Instructions burned: 1179 (million)
% 23.61/3.96  % (3256149)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3879416252:i=1472:ins=7:fdi=8:gsp=on_2982 on theBenchmark for (2982ds/1472Mi)
% 23.61/3.96  % (3256145)Instruction limit reached! 
% 23.61/3.96  % (3256145)------------------------------
% 23.61/3.96  % (3256145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.61/3.96  % (3256145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.61/3.96  % (3256145)CaDiCaL version: 2.1.3
% 23.61/3.96  % (3256145)Termination reason: Instruction limit
% 23.61/3.96  % (3256145)Termination phase: Finite model building constraint generation
% 23.61/3.96  % (3256145)Time elapsed: 0.545 s
% 23.61/3.96  % (3256145)Peak memory usage: 45 MB
% 23.61/3.96  % (3256145)Instructions burned: 921 (million)
% 23.61/3.96  % (3256154)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3483483036:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 23.61/3.96  % (3256154)Cannot represent all propositional literals internally
% 23.61/3.96  % (3256154)Refutation not found, incomplete strategy
% 23.61/3.96  % (3256154)------------------------------
% 23.61/3.96  % (3256154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.61/3.96  % (3256154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.61/3.96  % (3256154)CaDiCaL version: 2.1.3
% 23.61/3.96  % (3256154)Termination reason: Refutation not found, incomplete strategy
% 23.61/3.96  % (3256154)Time elapsed: 0.014 s
% 23.61/3.96  % (3256154)Peak memory usage: 11 MB
% 23.61/3.96  % (3256154)Instructions burned: 16 (million)
% 23.61/3.96  % (3256154)------------------------------
% 23.61/3.96  % (3256154)------------------------------
% 23.61/3.96  % (3256157)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4010723594:fmbsr=2.30978:i=2174_2977 on theBenchmark for (2977ds/2174Mi)
% 23.61/3.96  % TRYING [4]
% 23.61/3.96  % (3256157)Cannot represent all propositional literals internally
% 23.61/3.96  % (3256157)Refutation not found, incomplete strategy
% 23.61/3.96  % (3256157)------------------------------
% 23.61/3.96  % (3256157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.61/3.96  % (3256157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.61/3.96  % (3256157)CaDiCaL version: 2.1.3
% 23.61/3.96  % (3256157)Termination reason: Refutation not found, incomplete strategy
% 23.61/3.96  % (3256157)Time elapsed: 0.167 s
% 23.61/3.96  % (3256157)Peak memory usage: 13 MB
% 23.61/3.96  % (3256157)Instructions burned: 166 (million)
% 23.61/3.96  % (3256157)------------------------------
% 23.61/3.96  % (3256157)------------------------------
% 23.61/3.96  % (3256159)ott-2_1_sil=16000:newcnf=on:random_seed=1564828059:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2975 on theBenchmark for (2975ds/869Mi)
% 23.61/3.96  % (3256149)Instruction limit reached! 
% 23.61/3.96  % (3256149)------------------------------
% 23.61/3.96  % (3256149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.61/3.96  % (3256149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.61/3.96  % (3256149)CaDiCaL version: 2.1.3
% 23.61/3.96  % (3256149)Termination reason: Instruction limit
% 23.61/3.96  % (3256149)Termination phase: Saturation
% 23.61/3.96  % (3256149)Time elapsed: 1.235 s
% 23.61/3.96  % (3256149)Peak memory usage: 29 MB
% 23.61/3.96  % (3256149)Instructions burned: 1472 (million)
% 23.61/3.96  % (3256159)Instruction limit reached! 
% 23.61/3.96  % (3256159)------------------------------
% 23.61/3.96  % (3256159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.61/3.96  % (3256159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.61/3.96  % (3256159)CaDiCaL version: 2.1.3
% 23.61/3.96  % (3256159)Termination reason: Instruction limit
% 23.61/3.96  % (3256159)Termination phase: Saturation
% 23.61/3.96  % (3256159)Time elapsed: 0.617 s
% 23.61/3.96  % (3256159)Peak memory usage: 17 MB
% 23.61/3.96  % (3256159)Instructions burned: 869 (million)
% 23.61/3.96  % (3256259)ott+10_1_sil=32000:tgt=ground:random_seed=3999726303:i=5114:av=off_2969 on theBenchmark for (2969ds/5114Mi)
% 23.61/3.96  % (3256262)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3488288698:i=54282_2969 on theBenchmark for (2969ds/54282Mi)
% 23.61/3.96  % TRYING [1]
% 23.61/3.96  % TRYING [2]
% 23.61/3.96  % TRYING [3]
% 23.61/3.96  % (3256259) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3256088-3256259"...
% 23.61/3.96  % (3256259)...printing done.
% 23.61/3.96  % (3256259)Refutation found. Thanks to Tanya!
% 23.61/3.96  % SZS status Theorem for theBenchmark
% 23.61/3.96  % SZS output start Proof for theBenchmark
% See solution above
% 23.61/3.96  % (3256259)------------------------------
% 23.61/3.96  % (3256259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.61/3.96  % (3256259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.61/3.96  % (3256259)CaDiCaL version: 2.1.3
% 23.61/3.96  % (3256259)Termination reason: Refutation
% 23.61/3.96  % (3256259)Time elapsed: 0.357 s
% 23.61/3.96  % (3256259)Peak memory usage: 19 MB
% 23.61/3.96  % (3256259)Instructions burned: 561 (million)
% 23.61/3.96  % (3256088)Success in time 3.47 s
% 23.61/3.96  % Vampire exiting
%------------------------------------------------------------------------------