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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO659+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 : 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 22.84s 3.88s
% Output   : Refutation 22.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   81 (  12 unt;   0 def)
%            Number of atoms       :  255 (   0 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  258 (  84   ~;  82   |;  76   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   9 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   13 (  13 usr;  13 con; 0-0 aty)
%            Number of variables   :  404 ( 378   !;  26   ?)

% Comments : 
%------------------------------------------------------------------------------
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,X7,X8,X9,X10,X11,X12] :
      ( ( perp(X3,X0,X1,X2)
        & coll(X3,X1,X2)
        & perp(X4,X1,X0,X2)
        & coll(X4,X0,X2)
        & midp(X8,X0,X2)
        & perp(X0,X2,X8,X5)
        & midp(X9,X0,X1)
        & perp(X0,X1,X9,X5)
        & midp(X10,X2,X1)
        & perp(X2,X1,X10,X5)
        & coll(X1,X4,X6)
        & circle(X5,X1,X6,X11)
        & coll(X0,X3,X7)
        & circle(X5,X0,X7,X12) )
     => para(X3,X4,X6,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02317) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
        ( ( perp(X3,X0,X1,X2)
          & coll(X3,X1,X2)
          & perp(X4,X1,X0,X2)
          & coll(X4,X0,X2)
          & midp(X8,X0,X2)
          & perp(X0,X2,X8,X5)
          & midp(X9,X0,X1)
          & perp(X0,X1,X9,X5)
          & midp(X10,X2,X1)
          & perp(X2,X1,X10,X5)
          & coll(X1,X4,X6)
          & circle(X5,X1,X6,X11)
          & coll(X0,X3,X7)
          & circle(X5,X0,X7,X12) )
       => para(X3,X4,X6,X7) ),
    inference(negated_conjecture,[status(cth)],[f95]) ).

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

fof(f108,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f9]) ).

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

fof(f120,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4) ),
    inference(ennf_transformation,[],[f17]) ).

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

fof(f122,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f123,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f124,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f125,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f148,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f149,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f40]) ).

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

fof(f151,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | coll(X2,X3,X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f152,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | coll(X2,X3,X0) ),
    inference(flattening,[],[f151]) ).

fof(f153,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ coll(X2,X3,X1) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f154,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ coll(X2,X3,X1) ),
    inference(flattening,[],[f153]) ).

fof(f155,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f156,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
    inference(flattening,[],[f155]) ).

fof(f180,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3) ),
    inference(ennf_transformation,[],[f57]) ).

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

fof(f249,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ para(X3,X4,X6,X7)
      & perp(X3,X0,X1,X2)
      & coll(X3,X1,X2)
      & perp(X4,X1,X0,X2)
      & coll(X4,X0,X2)
      & midp(X8,X0,X2)
      & perp(X0,X2,X8,X5)
      & midp(X9,X0,X1)
      & perp(X0,X1,X9,X5)
      & midp(X10,X2,X1)
      & perp(X2,X1,X10,X5)
      & coll(X1,X4,X6)
      & circle(X5,X1,X6,X11)
      & coll(X0,X3,X7)
      & circle(X5,X0,X7,X12) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f250,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ para(X3,X4,X6,X7)
      & perp(X3,X0,X1,X2)
      & coll(X3,X1,X2)
      & perp(X4,X1,X0,X2)
      & coll(X4,X0,X2)
      & midp(X8,X0,X2)
      & perp(X0,X2,X8,X5)
      & midp(X9,X0,X1)
      & perp(X0,X1,X9,X5)
      & midp(X10,X2,X1)
      & perp(X2,X1,X10,X5)
      & coll(X1,X4,X6)
      & circle(X5,X1,X6,X11)
      & coll(X0,X3,X7)
      & circle(X5,X0,X7,X12) ),
    inference(flattening,[],[f249]) ).

fof(f270,plain,
    ( ~ para(sK23,sK24,sK26,sK27)
    & perp(sK23,sK20,sK21,sK22)
    & coll(sK23,sK21,sK22)
    & perp(sK24,sK21,sK20,sK22)
    & coll(sK24,sK20,sK22)
    & midp(sK28,sK20,sK22)
    & perp(sK20,sK22,sK28,sK25)
    & midp(sK29,sK20,sK21)
    & perp(sK20,sK21,sK29,sK25)
    & midp(sK30,sK22,sK21)
    & perp(sK22,sK21,sK30,sK25)
    & coll(sK21,sK24,sK26)
    & circle(sK25,sK21,sK26,sK31)
    & coll(sK20,sK23,sK27)
    & circle(sK25,sK20,sK27,sK32) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29),skolemize(X10,sK30),skolemize(X11,sK31),skolemize(X12,sK32)],[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(f388,plain,
    perp(sK22,sK21,sK30,sK25),
    inference(cnf_transformation,[],[f270]) ).

fof(f398,plain,
    ~ para(sK23,sK24,sK26,sK27),
    inference(cnf_transformation,[],[f270]) ).

fof(f436,plain,
    perp(sK30,sK25,sK22,sK21),
    inference(resolution,[],[f278,f388]) ).

fof(f558,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK22,sK21)
      | para(X0,X1,sK30,sK25) ),
    inference(resolution,[],[f279,f388]) ).

fof(f621,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X0,X1,X1,X2,X3,X0,X3,X2)
      | ~ cyclic(X0,X2,X1,X3) ),
    inference(resolution,[],[f288,f311]) ).

fof(f629,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(f647,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(f1355,plain,
    para(sK30,sK25,sK30,sK25),
    inference(resolution,[],[f558,f436]) ).

fof(f1772,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X3,X0,X3,X1,X0,X2,X2,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f621,f290]) ).

fof(f1831,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | para(X2,X3,X2,X3) ),
    inference(resolution,[],[f629,f309]) ).

fof(f2012,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | ~ coll(X0,X2,X1) ),
    inference(resolution,[],[f647,f313]) ).

fof(f2013,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | coll(X0,X2,X1) ),
    inference(resolution,[],[f647,f312]) ).

fof(f2023,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2) ),
    inference(forward_subsumption_resolution,[],[f2012,f2013]) ).

fof(f11330,plain,
    ! [X0,X1] : para(X0,X1,X0,X1),
    inference(resolution,[],[f1831,f1355]) ).

fof(f11409,plain,
    ! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
    inference(resolution,[],[f2023,f11330]) ).

fof(f12293,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X0,X1,X2)
      | cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f11409,f287]) ).

fof(f12324,plain,
    ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
    inference(forward_subsumption_resolution,[],[f12293,f11409]) ).

fof(f13622,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,[],[f1772,f314]) ).

fof(f13633,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,[],[f13622]) ).

fof(f13634,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | ~ cyclic(X0,X1,X2,X0)
      | cong(X0,X1,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f13633,f12324]) ).

fof(f13644,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | cong(X0,X1,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f13634,f12324]) ).

fof(f13646,plain,
    ! [X0,X1] : cong(X0,X1,X0,X1),
    inference(forward_subsumption_resolution,[],[f13644,f12324]) ).

fof(f13678,plain,
    ! [X2,X0,X1] :
      ( ~ cong(X0,X1,X0,X1)
      | perp(X0,X0,X1,X2) ),
    inference(resolution,[],[f13646,f327]) ).

fof(f13727,plain,
    ! [X2,X0,X1] : perp(X0,X0,X1,X2),
    inference(forward_subsumption_resolution,[],[f13678,f13646]) ).

fof(f14585,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ perp(X0,X1,X2,X2)
      | para(X0,X1,X3,X4) ),
    inference(resolution,[],[f13727,f279]) ).

fof(f14587,plain,
    ! [X2,X0,X1] : perp(X0,X1,X2,X2),
    inference(resolution,[],[f13727,f278]) ).

fof(f14611,plain,
    ! [X3,X0,X1,X4] : para(X0,X1,X3,X4),
    inference(forward_subsumption_resolution,[],[f14585,f14587]) ).

fof(f18412,plain,
    $false,
    inference(resolution,[],[f14611,f398]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO659+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38  % Computer : n001.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Sun Sep 27 08:50:45 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.17/0.42  Running first-order model finding
% 0.17/0.42  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
% 11.40/2.10  % (3255938)Will run a generic schedule for satisfiability detection.
% 11.40/2.10  % (3255945)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3844152985:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 11.40/2.10  % (3255944)% WARNING: option uhcvi not known.
% 11.40/2.10  % (3255946)dis+10_1_sil=32000:sp=arity:random_seed=1740386445:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 11.40/2.10  % (3255943)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3709764730_2999 on theBenchmark for (2999ds/0Mi)
% 11.40/2.10  % (3255944)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=771638449:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 11.40/2.10  % (3255947)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1295462314:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 11.40/2.10  % (3255948)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=90278653:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 11.40/2.10  % (3255949)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1805174270:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 11.40/2.10  % TRYING [1]
% 11.40/2.10  % TRYING [2]
% 11.40/2.10  % TRYING [3]
% 11.40/2.10  % (3255946)Instruction limit reached! 
% 11.40/2.10  % (3255946)------------------------------
% 11.40/2.10  % (3255946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.40/2.10  % (3255946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.40/2.10  % (3255946)CaDiCaL version: 2.1.3
% 11.40/2.10  % (3255946)Termination reason: Instruction limit
% 11.40/2.10  % (3255946)Termination phase: Saturation
% 11.40/2.10  % (3255946)Time elapsed: 0.070 s
% 11.40/2.10  % (3255946)Peak memory usage: 13 MB
% 11.40/2.10  % (3255946)Instructions burned: 104 (million)
% 11.40/2.10  % (3255947)Instruction limit reached! 
% 11.40/2.10  % (3255947)------------------------------
% 11.40/2.10  % (3255947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.40/2.10  % (3255947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.40/2.10  % (3255947)CaDiCaL version: 2.1.3
% 11.40/2.10  % (3255947)Termination reason: Instruction limit
% 11.40/2.10  % (3255947)Termination phase: Saturation
% 11.40/2.10  % (3255947)Time elapsed: 0.075 s
% 11.40/2.10  % (3255947)Peak memory usage: 13 MB
% 11.40/2.10  % (3255947)Instructions burned: 123 (million)
% 11.40/2.10  % (3255948)Instruction limit reached! 
% 11.40/2.10  % (3255948)------------------------------
% 11.40/2.10  % (3255948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.40/2.10  % (3255948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.40/2.10  % (3255948)CaDiCaL version: 2.1.3
% 11.40/2.10  % (3255948)Termination reason: Instruction limit
% 11.40/2.10  % (3255948)Termination phase: Saturation
% 11.40/2.10  % (3255948)Time elapsed: 0.083 s
% 11.40/2.10  % (3255948)Peak memory usage: 14 MB
% 11.40/2.10  % (3255948)Instructions burned: 132 (million)
% 11.40/2.10  % (3255957)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=747640205:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 11.40/2.10  % (3255958)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3556141322:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 11.40/2.10  % (3255949)Instruction limit reached! 
% 11.40/2.10  % (3255949)------------------------------
% 11.40/2.10  % (3255949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.40/2.10  % (3255949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.40/2.10  % (3255949)CaDiCaL version: 2.1.3
% 11.40/2.10  % (3255949)Termination reason: Instruction limit
% 11.40/2.10  % (3255949)Termination phase: Saturation
% 11.40/2.10  % (3255949)Time elapsed: 0.098 s
% 11.40/2.10  % (3255949)Peak memory usage: 14 MB
% 11.40/2.10  % (3255949)Instructions burned: 160 (million)
% 11.40/2.10  % TRYING [1]
% 11.40/2.10  % TRYING [2]
% 11.40/2.10  % (3255959)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=2139378651:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 11.40/2.10  % (3255967)ott-21_1_sil=16000:fs=off:random_seed=3521229533:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 11.40/2.10  % TRYING [3]
% 11.40/2.10  % (3255958)Instruction limit reached! 
% 11.40/2.10  % (3255958)------------------------------
% 11.40/2.10  % (3255958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.40/2.10  % (3255958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/3.88  % (3255958)CaDiCaL version: 2.1.3
% 22.84/3.88  % (3255958)Termination reason: Instruction limit
% 22.84/3.88  % (3255958)Termination phase: Saturation
% 22.84/3.88  % (3255958)Time elapsed: 0.080 s
% 22.84/3.88  % (3255958)Peak memory usage: 14 MB
% 22.84/3.88  % (3255958)Instructions burned: 131 (million)
% 22.84/3.88  % (3255990)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=838911943:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 22.84/3.88  % (3255967)Instruction limit reached! 
% 22.84/3.88  % (3255967)------------------------------
% 22.84/3.88  % (3255967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.84/3.88  % (3255967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/3.88  % (3255967)CaDiCaL version: 2.1.3
% 22.84/3.88  % (3255967)Termination reason: Instruction limit
% 22.84/3.88  % (3255967)Termination phase: Saturation
% 22.84/3.88  % (3255967)Time elapsed: 0.095 s
% 22.84/3.88  % (3255967)Peak memory usage: 13 MB
% 22.84/3.88  % (3255967)Instructions burned: 180 (million)
% 22.84/3.88  % (3256006)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1860310315:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 22.84/3.88  % TRYING [1]
% 22.84/3.88  % TRYING [2]
% 22.84/3.88  % TRYING [3]
% 22.84/3.88  % (3255957)Instruction limit reached! 
% 22.84/3.88  % (3255957)------------------------------
% 22.84/3.88  % (3255957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.84/3.88  % (3255957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/3.88  % (3255957)CaDiCaL version: 2.1.3
% 22.84/3.88  % (3255957)Termination reason: Instruction limit
% 22.84/3.88  % (3255957)Termination phase: Finite model building constraint generation
% 22.84/3.88  % (3255957)Time elapsed: 0.252 s
% 22.84/3.88  % (3255957)Peak memory usage: 24 MB
% 22.84/3.88  % (3255957)Instructions burned: 716 (million)
% 22.84/3.88  % (3256048)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2836921872:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 22.84/3.88  % (3255990)Instruction limit reached! 
% 22.84/3.88  % (3255990)------------------------------
% 22.84/3.88  % (3255990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.84/3.88  % (3255990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/3.88  % (3255990)CaDiCaL version: 2.1.3
% 22.84/3.88  % (3255990)Termination reason: Instruction limit
% 22.84/3.88  % (3255990)Termination phase: Saturation
% 22.84/3.88  % (3255990)Time elapsed: 0.300 s
% 22.84/3.88  % (3255990)Peak memory usage: 15 MB
% 22.84/3.88  % (3255990)Instructions burned: 478 (million)
% 22.84/3.88  % (3255959)Instruction limit reached! 
% 22.84/3.88  % (3255959)------------------------------
% 22.84/3.88  % (3255959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.84/3.88  % (3255959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/3.88  % (3255959)CaDiCaL version: 2.1.3
% 22.84/3.88  % (3255959)Termination reason: Instruction limit
% 22.84/3.88  % (3255959)Termination phase: Saturation
% 22.84/3.88  % (3255959)Time elapsed: 0.394 s
% 22.84/3.88  % (3255959)Peak memory usage: 17 MB
% 22.84/3.88  % (3255959)Instructions burned: 685 (million)
% 22.84/3.88  % (3256072)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2918815672:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 22.84/3.88  % (3256073)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=435572255: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)
% 22.84/3.88  % (3256072)Cannot represent all propositional literals internally
% 22.84/3.88  % (3256072)Refutation not found, incomplete strategy
% 22.84/3.88  % (3256072)------------------------------
% 22.84/3.88  % (3256072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.84/3.88  % (3256072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/3.88  % (3256072)CaDiCaL version: 2.1.3
% 22.84/3.88  % (3256072)Termination reason: Refutation not found, incomplete strategy
% 22.84/3.88  % (3256072)Time elapsed: 0.007 s
% 22.84/3.88  % (3256072)Peak memory usage: 10 MB
% 22.84/3.88  % (3256072)Instructions burned: 13 (million)
% 22.84/3.88  % (3256072)------------------------------
% 22.84/3.88  % (3256072)------------------------------
% 22.84/3.88  % (3256076)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4060604132:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 22.84/3.88  % (3256006)Instruction limit reached! 
% 22.84/3.88  % (3256006)------------------------------
% 22.84/3.88  % (3256006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.84/3.88  % (3256006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/3.88  % (3256006)CaDiCaL version: 2.1.3
% 22.84/3.88  % (3256006)Termination reason: Instruction limit
% 22.84/3.88  % (3256006)Termination phase: Finite model building constraint generation
% 22.84/3.88  % (3256006)Time elapsed: 0.319 s
% 22.84/3.88  % (3256006)Peak memory usage: 50 MB
% 22.84/3.88  % (3256006)Instructions burned: 866 (million)
% 22.84/3.88  % (3256078)fmb+10_1_sil=64000:random_seed=591019970:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 22.84/3.88  % TRYING [1]
% 22.84/3.88  % TRYING [2]
% 22.84/3.88  % TRYING [3]
% 22.84/3.88  % (3256073)Instruction limit reached! 
% 22.84/3.88  % (3256073)------------------------------
% 22.84/3.88  % (3256073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.84/3.88  % (3256073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/3.88  % (3256073)CaDiCaL version: 2.1.3
% 22.84/3.88  % (3256073)Termination reason: Instruction limit
% 22.84/3.88  % (3256073)Termination phase: Saturation
% 22.84/3.88  % (3256073)Time elapsed: 0.445 s
% 22.84/3.88  % (3256073)Peak memory usage: 24 MB
% 22.84/3.88  % (3256073)Instructions burned: 692 (million)
% 22.84/3.88  % (3256112)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1647189627:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 22.84/3.88  % (3256112)Cannot represent all propositional literals internally
% 22.84/3.88  % (3256112)Refutation not found, incomplete strategy
% 22.84/3.88  % (3256112)------------------------------
% 22.84/3.88  % (3256112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.84/3.88  % (3256112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/3.88  % (3256112)CaDiCaL version: 2.1.3
% 22.84/3.88  % (3256112)Termination reason: Refutation not found, incomplete strategy
% 22.84/3.88  % (3256112)Time elapsed: 0.007 s
% 22.84/3.88  % (3256112)Peak memory usage: 11 MB
% 22.84/3.88  % (3256112)Instructions burned: 13 (million)
% 22.84/3.88  % (3256112)------------------------------
% 22.84/3.88  % (3256112)------------------------------
% 22.84/3.88  % (3256117)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2164813824:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 22.84/3.88  % TRYING [8]
% 22.84/3.88  % (3256076)Instruction limit reached! 
% 22.84/3.88  % (3256076)------------------------------
% 22.84/3.88  % (3256076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.84/3.88  % (3256076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/3.88  % (3256076)CaDiCaL version: 2.1.3
% 22.84/3.88  % (3256076)Termination reason: Instruction limit
% 22.84/3.88  % (3256076)Termination phase: Saturation
% 22.84/3.88  % (3256076)Time elapsed: 0.679 s
% 22.84/3.88  % (3256076)Peak memory usage: 18 MB
% 22.84/3.88  % (3256076)Instructions burned: 880 (million)
% 22.84/3.88  % (3256123)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2629520931:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 22.84/3.88  % (3256048)Instruction limit reached! 
% 22.84/3.88  % (3256048)------------------------------
% 22.84/3.88  % (3256048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.84/3.88  % (3256048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/3.88  % (3256048)CaDiCaL version: 2.1.3
% 22.84/3.88  % (3256048)Termination reason: Instruction limit
% 22.84/3.88  % (3256048)Termination phase: Saturation
% 22.84/3.88  % (3256048)Time elapsed: 0.891 s
% 22.84/3.88  % (3256048)Peak memory usage: 24 MB
% 22.84/3.88  % (3256048)Instructions burned: 1180 (million)
% 22.84/3.88  % (3256125)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=42720691:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 22.84/3.88  % (3256117)Instruction limit reached! 
% 22.84/3.88  % (3256117)------------------------------
% 22.84/3.88  % (3256117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.84/3.88  % (3256117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/3.88  % (3256117)CaDiCaL version: 2.1.3
% 22.84/3.88  % (3256117)Termination reason: Instruction limit
% 22.84/3.88  % (3256117)Termination phase: Finite model building constraint generation
% 22.84/3.88  % (3256117)Time elapsed: 0.580 s
% 22.84/3.88  % (3256117)Peak memory usage: 46 MB
% 22.84/3.88  % (3256117)Instructions burned: 921 (million)
% 22.84/3.88  % (3256131)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2822967737:i=6324_2983 on theBenchmark for (2983ds/6324Mi)
% 22.84/3.88  % (3256131)Cannot represent all propositional literals internally
% 22.84/3.88  % (3256131)Refutation not found, incomplete strategy
% 22.84/3.88  % (3256131)------------------------------
% 22.84/3.88  % (3256131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.84/3.88  % (3256131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/3.88  % (3256131)CaDiCaL version: 2.1.3
% 22.84/3.88  % (3256131)Termination reason: Refutation not found, incomplete strategy
% 22.84/3.88  % (3256131)Time elapsed: 0.011 s
% 22.84/3.88  % (3256131)Peak memory usage: 11 MB
% 22.84/3.88  % (3256131)Instructions burned: 16 (million)
% 22.84/3.88  % (3256131)------------------------------
% 22.84/3.88  % (3256131)------------------------------
% 22.84/3.88  % (3256136)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1968934165:fmbsr=2.30978:i=2174_2983 on theBenchmark for (2983ds/2174Mi)
% 22.84/3.88  % (3256136)Cannot represent all propositional literals internally
% 22.84/3.88  % (3256136)Refutation not found, incomplete strategy
% 22.84/3.88  % (3256136)------------------------------
% 22.84/3.88  % (3256136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.84/3.88  % (3256136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/3.88  % (3256136)CaDiCaL version: 2.1.3
% 22.84/3.88  % (3256136)Termination reason: Refutation not found, incomplete strategy
% 22.84/3.88  % (3256136)Time elapsed: 0.148 s
% 22.84/3.88  % (3256136)Peak memory usage: 12 MB
% 22.84/3.88  % (3256136)Instructions burned: 167 (million)
% 22.84/3.88  % (3256136)------------------------------
% 22.84/3.88  % (3256136)------------------------------
% 22.84/3.88  % (3256141)ott-2_1_sil=16000:newcnf=on:random_seed=1163392089:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2981 on theBenchmark for (2981ds/869Mi)
% 22.84/3.88  % (3256141)Instruction limit reached! 
% 22.84/3.88  % (3256141)------------------------------
% 22.84/3.88  % (3256141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.84/3.88  % (3256141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/3.88  % (3256141)CaDiCaL version: 2.1.3
% 22.84/3.88  % (3256141)Termination reason: Instruction limit
% 22.84/3.88  % (3256141)Termination phase: Saturation
% 22.84/3.88  % (3256141)Time elapsed: 0.850 s
% 22.84/3.88  % (3256141)Peak memory usage: 18 MB
% 22.84/3.88  % (3256141)Instructions burned: 870 (million)
% 22.84/3.88  % (3256151)ott+10_1_sil=32000:tgt=ground:random_seed=3231274892:i=5114:av=off_2972 on theBenchmark for (2972ds/5114Mi)
% 22.84/3.88  % (3256125)Instruction limit reached! 
% 22.84/3.88  % (3256125)------------------------------
% 22.84/3.88  % (3256125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.84/3.88  % (3256125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/3.88  % (3256125)CaDiCaL version: 2.1.3
% 22.84/3.88  % (3256125)Termination reason: Instruction limit
% 22.84/3.88  % (3256125)Termination phase: Saturation
% 22.84/3.88  % (3256125)Time elapsed: 1.571 s
% 22.84/3.88  % (3256125)Peak memory usage: 33 MB
% 22.84/3.88  % (3256125)Instructions burned: 1472 (million)
% 22.84/3.88  % (3256153)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3950529666:i=54282_2970 on theBenchmark for (2970ds/54282Mi)
% 22.84/3.88  % TRYING [1]
% 22.84/3.88  % TRYING [2]
% 22.84/3.88  % TRYING [3]
% 22.84/3.88  % (3256151) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3255938-3256151"...
% 22.84/3.88  % (3256151)...printing done.
% 22.84/3.88  % (3256151)Refutation found. Thanks to Tanya!
% 22.84/3.88  % SZS status Theorem for theBenchmark
% 22.84/3.88  % SZS output start Proof for theBenchmark
% See solution above
% 22.84/3.88  % (3256151)------------------------------
% 22.84/3.88  % (3256151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.84/3.88  % (3256151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/3.88  % (3256151)CaDiCaL version: 2.1.3
% 22.84/3.88  % (3256151)Termination reason: Refutation
% 22.84/3.88  % (3256151)Time elapsed: 0.581 s
% 22.84/3.88  % (3256151)Peak memory usage: 25 MB
% 22.84/3.88  % (3256151)Instructions burned: 973 (million)
% 22.84/3.88  % (3255938)Success in time 3.449 s
% 22.84/3.88  % Vampire exiting
%------------------------------------------------------------------------------