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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO617+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 : n005.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 09:54:52 AM UTC 2026

% Result   : Theorem 21.31s 3.54s
% Output   : Refutation 21.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   91 (  13 unt;   0 def)
%            Number of atoms       :  235 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  241 (  97   ~;  95   |;  32   &)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :  470 ( 458   !;  12   ?)

% 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(f22,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
        & eqangle(X4,X5,X6,X7,X8,X9,X10,X11) )
     => eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).

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] :
      ( ( circle(X3,X0,X1,X2)
        & eqangle(X4,X2,X2,X1,X4,X2,X2,X0)
        & coll(X4,X0,X1)
        & perp(X5,X2,X0,X1)
        & coll(X5,X0,X1) )
     => eqangle(X5,X2,X2,X4,X4,X2,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618079) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5] :
        ( ( circle(X3,X0,X1,X2)
          & eqangle(X4,X2,X2,X1,X4,X2,X2,X0)
          & coll(X4,X0,X1)
          & perp(X5,X2,X0,X1)
          & coll(X5,X0,X1) )
       => eqangle(X5,X2,X2,X4,X4,X2,X2,X3) ),
    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(f126,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f127,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
    inference(flattening,[],[f126]) ).

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] :
      ( ~ eqangle(X5,X2,X2,X4,X4,X2,X2,X3)
      & circle(X3,X0,X1,X2)
      & eqangle(X4,X2,X2,X1,X4,X2,X2,X0)
      & coll(X4,X0,X1)
      & perp(X5,X2,X0,X1)
      & coll(X5,X0,X1) ),
    inference(ennf_transformation,[],[f96]) ).

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

fof(f270,plain,
    ( ~ eqangle(sK25,sK22,sK22,sK24,sK24,sK22,sK22,sK23)
    & circle(sK23,sK20,sK21,sK22)
    & eqangle(sK24,sK22,sK22,sK21,sK24,sK22,sK22,sK20)
    & coll(sK24,sK20,sK21)
    & perp(sK25,sK22,sK20,sK21)
    & coll(sK25,sK20,sK21) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25)],[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(f292,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
    inference(cnf_transformation,[],[f127]) ).

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,
    perp(sK25,sK22,sK20,sK21),
    inference(cnf_transformation,[],[f270]) ).

fof(f389,plain,
    ~ eqangle(sK25,sK22,sK22,sK24,sK24,sK22,sK22,sK23),
    inference(cnf_transformation,[],[f270]) ).

fof(f411,plain,
    perp(sK20,sK21,sK25,sK22),
    inference(resolution,[],[f278,f385]) ).

fof(f508,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK20,sK21)
      | para(X0,X1,sK25,sK22) ),
    inference(resolution,[],[f279,f411]) ).

fof(f572,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(f588,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
      | ~ para(X4,X5,X0,X1) ),
    inference(resolution,[],[f290,f310]) ).

fof(f597,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(f986,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X0,X1,X2,X3,X8,X9,X6,X7)
      | ~ para(X4,X5,X8,X9) ),
    inference(resolution,[],[f292,f310]) ).

fof(f1496,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X3,X0,X3,X1,X0,X2,X2,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f572,f290]) ).

fof(f1551,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | para(X2,X3,X2,X3) ),
    inference(resolution,[],[f579,f309]) ).

fof(f1641,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X2,X3,X0,X1,X4,X5,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f588,f291]) ).

fof(f1740,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | ~ coll(X0,X2,X1) ),
    inference(resolution,[],[f597,f313]) ).

fof(f1741,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | coll(X0,X2,X1) ),
    inference(resolution,[],[f597,f312]) ).

fof(f1751,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2) ),
    inference(forward_subsumption_resolution,[],[f1740,f1741]) ).

fof(f6252,plain,
    para(sK25,sK22,sK25,sK22),
    inference(resolution,[],[f508,f385]) ).

fof(f9626,plain,
    ! [X0,X1] : para(X0,X1,X0,X1),
    inference(resolution,[],[f1551,f6252]) ).

fof(f9961,plain,
    ! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
    inference(resolution,[],[f1751,f9626]) ).

fof(f12297,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X0,X1,X2)
      | cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f9961,f287]) ).

fof(f12329,plain,
    ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
    inference(forward_subsumption_resolution,[],[f12297,f9961]) ).

fof(f12359,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,[],[f1496,f314]) ).

fof(f12370,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,[],[f12359]) ).

fof(f12371,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | ~ cyclic(X0,X1,X2,X0)
      | cong(X0,X1,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f12370,f12329]) ).

fof(f12382,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | cong(X0,X1,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f12371,f12329]) ).

fof(f12384,plain,
    ! [X0,X1] : cong(X0,X1,X0,X1),
    inference(forward_subsumption_resolution,[],[f12382,f12329]) ).

fof(f12412,plain,
    ! [X2,X0,X1] :
      ( ~ cong(X0,X1,X0,X1)
      | perp(X0,X0,X1,X2) ),
    inference(resolution,[],[f12384,f327]) ).

fof(f12441,plain,
    ! [X2,X0,X1] : perp(X0,X0,X1,X2),
    inference(forward_subsumption_resolution,[],[f12412,f12384]) ).

fof(f12828,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ perp(X0,X1,X2,X2)
      | para(X0,X1,X3,X4) ),
    inference(resolution,[],[f12441,f279]) ).

fof(f12830,plain,
    ! [X2,X0,X1] : perp(X0,X1,X2,X2),
    inference(resolution,[],[f12441,f278]) ).

fof(f12840,plain,
    ! [X3,X0,X1,X4] : para(X0,X1,X3,X4),
    inference(forward_subsumption_resolution,[],[f12828,f12830]) ).

fof(f13646,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X2,X3,X0,X1,X4,X5,X6,X7)
      | ~ para(X6,X7,X4,X5) ),
    inference(resolution,[],[f1641,f986]) ).

fof(f13673,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X2,X3,X0,X1,X4,X5,X6,X7) ),
    inference(forward_subsumption_resolution,[],[f13646,f12840]) ).

fof(f13675,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] : eqangle(X2,X3,X0,X1,X4,X5,X6,X7),
    inference(forward_subsumption_resolution,[],[f13673,f12840]) ).

fof(f18530,plain,
    $false,
    inference(resolution,[],[f13675,f389]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO617+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39  % Computer : n005.cluster.edu
% 0.14/0.39  % Model    : x86_64 x86_64
% 0.14/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39  % Memory   : 8046.5625MB
% 0.14/0.39  % OS       : Linux 6.8.0-71-generic
% 0.14/0.39  % CPULimit : 300
% 0.14/0.39  % WCLimit  : 300
% 0.14/0.39  % DateTime : Sun Sep 27 08:38:47 UTC 2026
% 0.14/0.39  % CPUTime  : 
% 0.14/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.42  Running first-order model finding
% 0.14/0.42  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
% 8.06/1.89  % (3683119)Will run a generic schedule for satisfiability detection.
% 8.06/1.89  % (3683125)% WARNING: option uhcvi not known.
% 8.06/1.89  % (3683125)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4196176942:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.06/1.89  % (3683124)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1134251993_2999 on theBenchmark for (2999ds/0Mi)
% 8.06/1.89  % (3683127)dis+10_1_sil=32000:sp=arity:random_seed=1125418451:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.06/1.89  % (3683126)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1356381965:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.06/1.89  % (3683128)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4249864310:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.06/1.89  % (3683129)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3302688552:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.06/1.89  % (3683130)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=293057062:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.06/1.89  % TRYING [1]
% 8.06/1.89  % TRYING [2]
% 8.06/1.89  % TRYING [3]
% 8.06/1.89  % (3683127)Instruction limit reached! 
% 8.06/1.89  % (3683127)------------------------------
% 8.06/1.89  % (3683127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.06/1.89  % (3683127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.89  % (3683127)CaDiCaL version: 2.1.3
% 8.06/1.89  % (3683127)Termination reason: Instruction limit
% 8.06/1.89  % (3683127)Termination phase: Saturation
% 8.06/1.89  % (3683127)Time elapsed: 0.068 s
% 8.06/1.89  % (3683127)Peak memory usage: 12 MB
% 8.06/1.89  % (3683127)Instructions burned: 103 (million)
% 8.06/1.89  % (3683128)Instruction limit reached! 
% 8.06/1.89  % (3683128)------------------------------
% 8.06/1.89  % (3683128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.06/1.89  % (3683128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.89  % (3683128)CaDiCaL version: 2.1.3
% 8.06/1.89  % (3683128)Termination reason: Instruction limit
% 8.06/1.89  % (3683128)Termination phase: Saturation
% 8.06/1.89  % (3683128)Time elapsed: 0.069 s
% 8.06/1.89  % (3683128)Peak memory usage: 13 MB
% 8.06/1.89  % (3683128)Instructions burned: 116 (million)
% 8.06/1.89  % (3683129)Instruction limit reached! 
% 8.06/1.89  % (3683129)------------------------------
% 8.06/1.89  % (3683129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.06/1.89  % (3683129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.89  % (3683129)CaDiCaL version: 2.1.3
% 8.06/1.89  % (3683129)Termination reason: Instruction limit
% 8.06/1.89  % (3683129)Termination phase: Saturation
% 8.06/1.89  % (3683129)Time elapsed: 0.086 s
% 8.06/1.89  % (3683129)Peak memory usage: 14 MB
% 8.06/1.89  % (3683129)Instructions burned: 131 (million)
% 8.06/1.89  % (3683152)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=933059576:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.06/1.89  % (3683153)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=286615660:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.06/1.89  % (3683130)Instruction limit reached! 
% 8.06/1.89  % (3683130)------------------------------
% 8.06/1.89  % (3683130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.06/1.89  % (3683130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.89  % (3683130)CaDiCaL version: 2.1.3
% 8.06/1.89  % (3683130)Termination reason: Instruction limit
% 8.06/1.89  % (3683130)Termination phase: Saturation
% 8.06/1.89  % (3683130)Time elapsed: 0.095 s
% 8.06/1.89  % (3683130)Peak memory usage: 14 MB
% 8.06/1.89  % (3683130)Instructions burned: 160 (million)
% 8.06/1.89  % TRYING [1]
% 8.06/1.89  % TRYING [2]
% 8.06/1.89  % (3683163)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=1631453945:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.06/1.89  % (3683166)ott-21_1_sil=16000:fs=off:random_seed=2008279861:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.06/1.89  % TRYING [3]
% 8.06/1.89  % (3683153)Instruction limit reached! 
% 8.06/1.89  % (3683153)------------------------------
% 8.06/1.89  % (3683153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.06/1.89  % (3683153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/3.54  % (3683153)CaDiCaL version: 2.1.3
% 21.31/3.54  % (3683153)Termination reason: Instruction limit
% 21.31/3.54  % (3683153)Termination phase: Saturation
% 21.31/3.54  % (3683153)Time elapsed: 0.085 s
% 21.31/3.54  % (3683153)Peak memory usage: 14 MB
% 21.31/3.54  % (3683153)Instructions burned: 131 (million)
% 21.31/3.54  % (3683206)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1532878506:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 21.31/3.54  % (3683166)Instruction limit reached! 
% 21.31/3.54  % (3683166)------------------------------
% 21.31/3.54  % (3683166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.31/3.54  % (3683166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/3.54  % (3683166)CaDiCaL version: 2.1.3
% 21.31/3.54  % (3683166)Termination reason: Instruction limit
% 21.31/3.54  % (3683166)Termination phase: Saturation
% 21.31/3.54  % (3683166)Time elapsed: 0.096 s
% 21.31/3.54  % (3683166)Peak memory usage: 12 MB
% 21.31/3.54  % (3683166)Instructions burned: 182 (million)
% 21.31/3.54  % (3683214)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4198367848:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 21.31/3.54  % TRYING [1]
% 21.31/3.54  % TRYING [2]
% 21.31/3.54  % TRYING [3]
% 21.31/3.54  % (3683152)Instruction limit reached! 
% 21.31/3.54  % (3683152)------------------------------
% 21.31/3.54  % (3683152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.31/3.54  % (3683152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/3.54  % (3683152)CaDiCaL version: 2.1.3
% 21.31/3.54  % (3683152)Termination reason: Instruction limit
% 21.31/3.54  % (3683152)Termination phase: Finite model building constraint generation
% 21.31/3.54  % (3683152)Time elapsed: 0.251 s
% 21.31/3.54  % (3683152)Peak memory usage: 24 MB
% 21.31/3.54  % (3683152)Instructions burned: 714 (million)
% 21.31/3.54  % (3683240)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2473336231:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 21.31/3.54  % (3683206)Instruction limit reached! 
% 21.31/3.54  % (3683206)------------------------------
% 21.31/3.54  % (3683206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.31/3.54  % (3683206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/3.54  % (3683206)CaDiCaL version: 2.1.3
% 21.31/3.54  % (3683206)Termination reason: Instruction limit
% 21.31/3.54  % (3683206)Termination phase: Saturation
% 21.31/3.54  % (3683206)Time elapsed: 0.283 s
% 21.31/3.54  % (3683206)Peak memory usage: 14 MB
% 21.31/3.54  % (3683206)Instructions burned: 477 (million)
% 21.31/3.54  % (3683253)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1362593069:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 21.31/3.54  % (3683253)Cannot represent all propositional literals internally
% 21.31/3.54  % (3683253)Refutation not found, incomplete strategy
% 21.31/3.54  % (3683253)------------------------------
% 21.31/3.54  % (3683253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.31/3.54  % (3683253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/3.54  % (3683253)CaDiCaL version: 2.1.3
% 21.31/3.54  % (3683253)Termination reason: Refutation not found, incomplete strategy
% 21.31/3.54  % (3683253)Time elapsed: 0.006 s
% 21.31/3.54  % (3683253)Peak memory usage: 10 MB
% 21.31/3.54  % (3683253)Instructions burned: 12 (million)
% 21.31/3.54  % (3683253)------------------------------
% 21.31/3.54  % (3683253)------------------------------
% 21.31/3.54  % (3683255)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=2348428463: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)
% 21.31/3.54  % (3683163)Instruction limit reached! 
% 21.31/3.54  % (3683163)------------------------------
% 21.31/3.54  % (3683163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.31/3.54  % (3683163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/3.54  % (3683163)CaDiCaL version: 2.1.3
% 21.31/3.54  % (3683163)Termination reason: Instruction limit
% 21.31/3.54  % (3683163)Termination phase: Saturation
% 21.31/3.54  % (3683163)Time elapsed: 0.423 s
% 21.31/3.54  % (3683163)Peak memory usage: 19 MB
% 21.31/3.54  % (3683163)Instructions burned: 688 (million)
% 21.31/3.54  % (3683257)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1212221366:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 21.31/3.54  % (3683214)Instruction limit reached! 
% 21.31/3.54  % (3683214)------------------------------
% 21.31/3.54  % (3683214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.31/3.54  % (3683214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/3.54  % (3683214)CaDiCaL version: 2.1.3
% 21.31/3.54  % (3683214)Termination reason: Instruction limit
% 21.31/3.54  % (3683214)Termination phase: Finite model building constraint generation
% 21.31/3.54  % (3683214)Time elapsed: 0.318 s
% 21.31/3.54  % (3683214)Peak memory usage: 50 MB
% 21.31/3.54  % (3683214)Instructions burned: 867 (million)
% 21.31/3.54  % (3683259)fmb+10_1_sil=64000:random_seed=3410485420:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 21.31/3.54  % TRYING [1]
% 21.31/3.54  % TRYING [2]
% 21.31/3.54  % TRYING [3]
% 21.31/3.54  % (3683255)Instruction limit reached! 
% 21.31/3.54  % (3683255)------------------------------
% 21.31/3.54  % (3683255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.31/3.54  % (3683255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/3.54  % (3683255)CaDiCaL version: 2.1.3
% 21.31/3.54  % (3683255)Termination reason: Instruction limit
% 21.31/3.54  % (3683255)Termination phase: Saturation
% 21.31/3.54  % (3683255)Time elapsed: 0.454 s
% 21.31/3.54  % (3683255)Peak memory usage: 19 MB
% 21.31/3.54  % (3683255)Instructions burned: 693 (million)
% 21.31/3.54  % (3683274)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1824068702:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 21.31/3.54  % (3683274)Cannot represent all propositional literals internally
% 21.31/3.54  % (3683274)Refutation not found, incomplete strategy
% 21.31/3.54  % (3683274)------------------------------
% 21.31/3.54  % (3683274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.31/3.54  % (3683274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/3.54  % (3683274)CaDiCaL version: 2.1.3
% 21.31/3.54  % (3683274)Termination reason: Refutation not found, incomplete strategy
% 21.31/3.54  % (3683274)Time elapsed: 0.006 s
% 21.31/3.54  % (3683274)Peak memory usage: 10 MB
% 21.31/3.54  % (3683274)Instructions burned: 12 (million)
% 21.31/3.54  % (3683274)------------------------------
% 21.31/3.54  % (3683274)------------------------------
% 21.31/3.54  % (3683257)Instruction limit reached! 
% 21.31/3.54  % (3683257)------------------------------
% 21.31/3.54  % (3683257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.31/3.54  % (3683257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/3.54  % (3683257)CaDiCaL version: 2.1.3
% 21.31/3.54  % (3683257)Termination reason: Instruction limit
% 21.31/3.54  % (3683257)Termination phase: Saturation
% 21.31/3.54  % (3683257)Time elapsed: 0.471 s
% 21.31/3.54  % (3683257)Peak memory usage: 18 MB
% 21.31/3.54  % (3683257)Instructions burned: 880 (million)
% 21.31/3.54  % (3683276)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2395491670:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 21.31/3.54  % TRYING [8]
% 21.31/3.54  % (3683277)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2668801551:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 21.31/3.54  % (3683240)Instruction limit reached! 
% 21.31/3.54  % (3683240)------------------------------
% 21.31/3.54  % (3683240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.31/3.54  % (3683240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/3.54  % (3683240)CaDiCaL version: 2.1.3
% 21.31/3.54  % (3683240)Termination reason: Instruction limit
% 21.31/3.54  % (3683240)Termination phase: Saturation
% 21.31/3.54  % (3683240)Time elapsed: 0.736 s
% 21.31/3.54  % (3683240)Peak memory usage: 23 MB
% 21.31/3.54  % (3683240)Instructions burned: 1180 (million)
% 21.31/3.54  % (3683280)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3256650784:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 21.31/3.54  % (3683276)Instruction limit reached! 
% 21.31/3.54  % (3683276)------------------------------
% 21.31/3.54  % (3683276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.31/3.54  % (3683276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/3.54  % (3683276)CaDiCaL version: 2.1.3
% 21.31/3.54  % (3683276)Termination reason: Instruction limit
% 21.31/3.54  % (3683276)Termination phase: Finite model building constraint generation
% 21.31/3.54  % (3683276)Time elapsed: 0.332 s
% 21.31/3.54  % (3683276)Peak memory usage: 45 MB
% 21.31/3.54  % (3683276)Instructions burned: 920 (million)
% 21.31/3.54  % (3683290)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=741297737:i=6324_2985 on theBenchmark for (2985ds/6324Mi)
% 21.31/3.54  % (3683290)Cannot represent all propositional literals internally
% 21.31/3.54  % (3683290)Refutation not found, incomplete strategy
% 21.31/3.54  % (3683290)------------------------------
% 21.31/3.54  % (3683290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.31/3.54  % (3683290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/3.54  % (3683290)CaDiCaL version: 2.1.3
% 21.31/3.54  % (3683290)Termination reason: Refutation not found, incomplete strategy
% 21.31/3.54  % (3683290)Time elapsed: 0.019 s
% 21.31/3.54  % (3683290)Peak memory usage: 11 MB
% 21.31/3.54  % (3683290)Instructions burned: 15 (million)
% 21.31/3.54  % (3683290)------------------------------
% 21.31/3.54  % (3683290)------------------------------
% 21.31/3.54  % (3683295)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1976622729:fmbsr=2.30978:i=2174_2985 on theBenchmark for (2985ds/2174Mi)
% 21.31/3.54  % (3683295)Cannot represent all propositional literals internally
% 21.31/3.54  % (3683295)Refutation not found, incomplete strategy
% 21.31/3.54  % (3683295)------------------------------
% 21.31/3.54  % (3683295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.31/3.54  % (3683295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/3.54  % (3683295)CaDiCaL version: 2.1.3
% 21.31/3.54  % (3683295)Termination reason: Refutation not found, incomplete strategy
% 21.31/3.54  % (3683295)Time elapsed: 0.135 s
% 21.31/3.54  % (3683295)Peak memory usage: 12 MB
% 21.31/3.54  % (3683295)Instructions burned: 166 (million)
% 21.31/3.54  % (3683295)------------------------------
% 21.31/3.54  % (3683295)------------------------------
% 21.31/3.54  % (3683304)ott-2_1_sil=16000:newcnf=on:random_seed=3401997064:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2983 on theBenchmark for (2983ds/869Mi)
% 21.31/3.54  % (3683304)Instruction limit reached! 
% 21.31/3.54  % (3683304)------------------------------
% 21.31/3.54  % (3683304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.31/3.54  % (3683304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/3.54  % (3683304)CaDiCaL version: 2.1.3
% 21.31/3.54  % (3683304)Termination reason: Instruction limit
% 21.31/3.54  % (3683304)Termination phase: Saturation
% 21.31/3.54  % (3683304)Time elapsed: 0.796 s
% 21.31/3.54  % (3683304)Peak memory usage: 19 MB
% 21.31/3.54  % (3683304)Instructions burned: 869 (million)
% 21.31/3.54  % (3683318)ott+10_1_sil=32000:tgt=ground:random_seed=2265481792:i=5114:av=off_2974 on theBenchmark for (2974ds/5114Mi)
% 21.31/3.54  % (3683280)Instruction limit reached! 
% 21.31/3.54  % (3683280)------------------------------
% 21.31/3.54  % (3683280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.31/3.54  % (3683280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/3.54  % (3683280)CaDiCaL version: 2.1.3
% 21.31/3.54  % (3683280)Termination reason: Instruction limit
% 21.31/3.54  % (3683280)Termination phase: Saturation
% 21.31/3.54  % (3683280)Time elapsed: 1.489 s
% 21.31/3.54  % (3683280)Peak memory usage: 33 MB
% 21.31/3.54  % (3683280)Instructions burned: 1473 (million)
% 21.31/3.54  % (3683320)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3814091767:i=54282_2973 on theBenchmark for (2973ds/54282Mi)
% 21.31/3.54  % TRYING [1]
% 21.31/3.54  % TRYING [2]
% 21.31/3.54  % TRYING [3]
% 21.31/3.54  % (3683318) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3683119-3683318"...
% 21.31/3.54  % (3683318)...printing done.
% 21.31/3.54  % (3683318)Refutation found. Thanks to Tanya!
% 21.31/3.54  % SZS status Theorem for theBenchmark
% 21.31/3.54  % SZS output start Proof for theBenchmark
% See solution above
% 21.31/3.55  % (3683318)------------------------------
% 21.31/3.55  % (3683318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.31/3.55  % (3683318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.31/3.55  % (3683318)CaDiCaL version: 2.1.3
% 21.31/3.55  % (3683318)Termination reason: Refutation
% 21.31/3.55  % (3683318)Time elapsed: 0.521 s
% 21.31/3.55  % (3683318)Peak memory usage: 21 MB
% 21.31/3.55  % (3683318)Instructions burned: 813 (million)
% 21.31/3.55  % (3683119)Success in time 3.111 s
% 21.31/3.55  % Vampire exiting
%------------------------------------------------------------------------------