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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO656+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 09:54:58 AM UTC 2026

% Result   : Theorem 16.71s 2.97s
% Output   : Refutation 16.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   87 (  14 unt;   0 def)
%            Number of atoms       :  214 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  217 (  90   ~;  88   |;  22   &)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   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   :  406 ( 394   !;  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(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(f74,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
        & para(X4,X5,X6,X7) )
     => para(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( midp(X3,X1,X0)
        & eqangle(X4,X3,X3,X0,X4,X3,X3,X2)
        & eqangle(X5,X3,X3,X1,X5,X3,X3,X2) )
     => para(X4,X5,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02314) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5] :
        ( ( midp(X3,X1,X0)
          & eqangle(X4,X3,X3,X0,X4,X3,X3,X2)
          & eqangle(X5,X3,X3,X1,X5,X3,X3,X2) )
       => para(X4,X5,X0,X1) ),
    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(f208,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( para(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | ~ para(X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f209,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( para(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | ~ para(X4,X5,X6,X7) ),
    inference(flattening,[],[f208]) ).

fof(f249,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ para(X4,X5,X0,X1)
      & midp(X3,X1,X0)
      & eqangle(X4,X3,X3,X0,X4,X3,X3,X2)
      & eqangle(X5,X3,X3,X1,X5,X3,X3,X2) ),
    inference(ennf_transformation,[],[f96]) ).

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

fof(f270,plain,
    ( ~ para(sK24,sK25,sK20,sK21)
    & midp(sK23,sK21,sK20)
    & eqangle(sK24,sK23,sK23,sK20,sK24,sK23,sK23,sK22)
    & eqangle(sK25,sK23,sK23,sK21,sK25,sK23,sK23,sK22) ),
    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(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(f344,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | para(X0,X1,X2,X3)
      | ~ para(X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f209]) ).

fof(f384,plain,
    eqangle(sK25,sK23,sK23,sK21,sK25,sK23,sK23,sK22),
    inference(cnf_transformation,[],[f270]) ).

fof(f387,plain,
    ~ para(sK24,sK25,sK20,sK21),
    inference(cnf_transformation,[],[f270]) ).

fof(f546,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X0,X1,X1,X2,X3,X0,X3,X2)
      | ~ cyclic(X0,X2,X1,X3) ),
    inference(resolution,[],[f288,f311]) ).

fof(f553,plain,
    eqangle(sK23,sK21,sK25,sK23,sK23,sK22,sK25,sK23),
    inference(resolution,[],[f289,f384]) ).

fof(f555,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(f572,plain,
    eqangle(sK25,sK23,sK25,sK23,sK23,sK21,sK23,sK22),
    inference(resolution,[],[f291,f384]) ).

fof(f574,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(f721,plain,
    para(sK23,sK21,sK23,sK22),
    inference(resolution,[],[f553,f309]) ).

fof(f1172,plain,
    ( para(sK25,sK23,sK25,sK23)
    | ~ para(sK23,sK21,sK23,sK22) ),
    inference(resolution,[],[f572,f344]) ).

fof(f1175,plain,
    para(sK25,sK23,sK25,sK23),
    inference(forward_subsumption_resolution,[],[f1172,f721]) ).

fof(f1377,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X3,X0,X3,X1,X0,X2,X2,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f546,f290]) ).

fof(f1436,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | para(X2,X3,X2,X3) ),
    inference(resolution,[],[f555,f309]) ).

fof(f1624,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | ~ coll(X0,X2,X1) ),
    inference(resolution,[],[f574,f313]) ).

fof(f1625,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | coll(X0,X2,X1) ),
    inference(resolution,[],[f574,f312]) ).

fof(f1635,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2) ),
    inference(forward_subsumption_resolution,[],[f1624,f1625]) ).

fof(f8595,plain,
    ! [X0,X1] : para(X0,X1,X0,X1),
    inference(resolution,[],[f1436,f1175]) ).

fof(f9057,plain,
    ! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
    inference(resolution,[],[f1635,f8595]) ).

fof(f11388,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X0,X1,X2)
      | cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f9057,f287]) ).

fof(f11420,plain,
    ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
    inference(forward_subsumption_resolution,[],[f11388,f9057]) ).

fof(f11858,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,[],[f1377,f314]) ).

fof(f11869,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,[],[f11858]) ).

fof(f11870,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | ~ cyclic(X0,X1,X2,X0)
      | cong(X0,X1,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f11869,f11420]) ).

fof(f11882,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | cong(X0,X1,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f11870,f11420]) ).

fof(f11884,plain,
    ! [X0,X1] : cong(X0,X1,X0,X1),
    inference(forward_subsumption_resolution,[],[f11882,f11420]) ).

fof(f12028,plain,
    ! [X2,X0,X1] :
      ( ~ cong(X0,X1,X0,X1)
      | perp(X0,X0,X1,X2) ),
    inference(resolution,[],[f11884,f327]) ).

fof(f12068,plain,
    ! [X2,X0,X1] : perp(X0,X0,X1,X2),
    inference(forward_subsumption_resolution,[],[f12028,f11884]) ).

fof(f13093,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ perp(X0,X1,X2,X2)
      | para(X0,X1,X3,X4) ),
    inference(resolution,[],[f12068,f279]) ).

fof(f13095,plain,
    ! [X2,X0,X1] : perp(X0,X1,X2,X2),
    inference(resolution,[],[f12068,f278]) ).

fof(f13100,plain,
    ! [X3,X0,X1,X4] : para(X0,X1,X3,X4),
    inference(forward_subsumption_resolution,[],[f13093,f13095]) ).

fof(f13506,plain,
    $false,
    inference(resolution,[],[f13100,f387]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO656+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38  % Computer : n001.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Sun Sep 27 08:50:16 UTC 2026
% 0.10/0.39  % CPUTime  : 
% 0.10/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.43  Running first-order model finding
% 0.10/0.43  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
% 8.38/1.82  % (3255203)Will run a generic schedule for satisfiability detection.
% 8.38/1.82  % (3255211)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1296668954:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.38/1.82  % (3255209)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=655280001_2999 on theBenchmark for (2999ds/0Mi)
% 8.38/1.82  % (3255212)dis+10_1_sil=32000:sp=arity:random_seed=1907399771:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.38/1.82  % (3255215)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1588148351:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.38/1.82  % (3255214)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=423684056:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.38/1.82  % (3255210)% WARNING: option uhcvi not known.
% 8.38/1.82  % (3255213)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2279746307:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.38/1.82  % TRYING [1]
% 8.38/1.82  % (3255210)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2887089754:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.38/1.82  % TRYING [2]
% 8.38/1.82  % TRYING [3]
% 8.38/1.82  % (3255212)Instruction limit reached! 
% 8.38/1.82  % (3255212)------------------------------
% 8.38/1.82  % (3255212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.38/1.82  % (3255212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.82  % (3255212)CaDiCaL version: 2.1.3
% 8.38/1.82  % (3255212)Termination reason: Instruction limit
% 8.38/1.82  % (3255212)Termination phase: Saturation
% 8.38/1.82  % (3255212)Time elapsed: 0.065 s
% 8.38/1.82  % (3255212)Peak memory usage: 12 MB
% 8.38/1.82  % (3255212)Instructions burned: 103 (million)
% 8.38/1.82  % (3255213)Instruction limit reached! 
% 8.38/1.82  % (3255213)------------------------------
% 8.38/1.82  % (3255213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.38/1.82  % (3255213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.82  % (3255213)CaDiCaL version: 2.1.3
% 8.38/1.82  % (3255213)Termination reason: Instruction limit
% 8.38/1.82  % (3255213)Termination phase: Saturation
% 8.38/1.82  % (3255213)Time elapsed: 0.066 s
% 8.38/1.82  % (3255213)Peak memory usage: 12 MB
% 8.38/1.82  % (3255213)Instructions burned: 116 (million)
% 8.38/1.82  % (3255224)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3711721576:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.38/1.82  % (3255214)Instruction limit reached! 
% 8.38/1.82  % (3255214)------------------------------
% 8.38/1.82  % (3255214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.38/1.82  % (3255214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.82  % (3255214)CaDiCaL version: 2.1.3
% 8.38/1.82  % (3255214)Termination reason: Instruction limit
% 8.38/1.82  % (3255214)Termination phase: Saturation
% 8.38/1.82  % (3255214)Time elapsed: 0.084 s
% 8.38/1.82  % (3255214)Peak memory usage: 13 MB
% 8.38/1.82  % (3255214)Instructions burned: 132 (million)
% 8.38/1.82  % (3255225)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1528884577:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 8.38/1.82  % TRYING [1]
% 8.38/1.82  % TRYING [2]
% 8.38/1.82  % (3255215)Instruction limit reached! 
% 8.38/1.82  % (3255215)------------------------------
% 8.38/1.82  % (3255215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.38/1.82  % (3255215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.82  % (3255215)CaDiCaL version: 2.1.3
% 8.38/1.82  % (3255215)Termination reason: Instruction limit
% 8.38/1.82  % (3255215)Termination phase: Saturation
% 8.38/1.82  % (3255215)Time elapsed: 0.101 s
% 8.38/1.82  % (3255215)Peak memory usage: 14 MB
% 8.38/1.82  % (3255215)Instructions burned: 159 (million)
% 8.38/1.82  % (3255227)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=3442926850:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.38/1.82  % TRYING [3]
% 8.38/1.82  % (3255229)ott-21_1_sil=16000:fs=off:random_seed=2187103269:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.38/1.82  % (3255225)Instruction limit reached! 
% 8.38/1.82  % (3255225)------------------------------
% 8.38/1.82  % (3255225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.38/1.82  % (3255225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.71/2.97  % (3255225)CaDiCaL version: 2.1.3
% 16.71/2.97  % (3255225)Termination reason: Instruction limit
% 16.71/2.97  % (3255225)Termination phase: Saturation
% 16.71/2.97  % (3255225)Time elapsed: 0.094 s
% 16.71/2.97  % (3255225)Peak memory usage: 14 MB
% 16.71/2.97  % (3255225)Instructions burned: 131 (million)
% 16.71/2.97  % (3255232)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2763707324:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 16.71/2.97  % (3255229)Instruction limit reached! 
% 16.71/2.97  % (3255229)------------------------------
% 16.71/2.97  % (3255229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.71/2.97  % (3255229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.71/2.97  % (3255229)CaDiCaL version: 2.1.3
% 16.71/2.97  % (3255229)Termination reason: Instruction limit
% 16.71/2.97  % (3255229)Termination phase: Saturation
% 16.71/2.97  % (3255229)Time elapsed: 0.115 s
% 16.71/2.97  % (3255229)Peak memory usage: 13 MB
% 16.71/2.97  % (3255229)Instructions burned: 181 (million)
% 16.71/2.97  % (3255249)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4133887990:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 16.71/2.97  % TRYING [1]
% 16.71/2.97  % TRYING [2]
% 16.71/2.97  % (3255224)Instruction limit reached! 
% 16.71/2.97  % (3255224)------------------------------
% 16.71/2.97  % (3255224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.71/2.97  % (3255224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.71/2.97  % (3255224)CaDiCaL version: 2.1.3
% 16.71/2.97  % (3255224)Termination reason: Instruction limit
% 16.71/2.97  % (3255224)Termination phase: Finite model building constraint generation
% 16.71/2.97  % (3255224)Time elapsed: 0.248 s
% 16.71/2.97  % (3255224)Peak memory usage: 24 MB
% 16.71/2.97  % (3255224)Instructions burned: 715 (million)
% 16.71/2.97  % TRYING [3]
% 16.71/2.97  % (3255275)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1618697452:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 16.71/2.97  % (3255232)Instruction limit reached! 
% 16.71/2.97  % (3255232)------------------------------
% 16.71/2.97  % (3255232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.71/2.97  % (3255232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.71/2.97  % (3255232)CaDiCaL version: 2.1.3
% 16.71/2.97  % (3255232)Termination reason: Instruction limit
% 16.71/2.97  % (3255232)Termination phase: Saturation
% 16.71/2.97  % (3255232)Time elapsed: 0.305 s
% 16.71/2.97  % (3255232)Peak memory usage: 15 MB
% 16.71/2.97  % (3255232)Instructions burned: 477 (million)
% 16.71/2.97  % (3255277)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2005482792:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 16.71/2.97  % (3255227)Instruction limit reached! 
% 16.71/2.97  % (3255227)------------------------------
% 16.71/2.97  % (3255227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.71/2.97  % (3255227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.71/2.97  % (3255227)CaDiCaL version: 2.1.3
% 16.71/2.97  % (3255227)Termination reason: Instruction limit
% 16.71/2.97  % (3255227)Termination phase: Saturation
% 16.71/2.97  % (3255227)Time elapsed: 0.429 s
% 16.71/2.97  % (3255227)Peak memory usage: 18 MB
% 16.71/2.97  % (3255227)Instructions burned: 686 (million)
% 16.71/2.97  % (3255277)Cannot represent all propositional literals internally
% 16.71/2.97  % (3255277)Refutation not found, incomplete strategy
% 16.71/2.97  % (3255277)------------------------------
% 16.71/2.97  % (3255277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.71/2.97  % (3255277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.71/2.97  % (3255277)CaDiCaL version: 2.1.3
% 16.71/2.97  % (3255277)Termination reason: Refutation not found, incomplete strategy
% 16.71/2.97  % (3255277)Time elapsed: 0.006 s
% 16.71/2.97  % (3255277)Peak memory usage: 10 MB
% 16.71/2.97  % (3255277)Instructions burned: 12 (million)
% 16.71/2.97  % (3255277)------------------------------
% 16.71/2.97  % (3255277)------------------------------
% 16.71/2.97  % (3255279)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=901859637: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)
% 16.71/2.97  % (3255280)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2884837227:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 16.71/2.97  % (3255249)Instruction limit reached! 
% 16.71/2.97  % (3255249)------------------------------
% 16.71/2.97  % (3255249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.71/2.97  % (3255249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.71/2.97  % (3255249)CaDiCaL version: 2.1.3
% 16.71/2.97  % (3255249)Termination reason: Instruction limit
% 16.71/2.97  % (3255249)Termination phase: Finite model building constraint generation
% 16.71/2.97  % (3255249)Time elapsed: 0.303 s
% 16.71/2.97  % (3255249)Peak memory usage: 50 MB
% 16.71/2.97  % (3255249)Instructions burned: 868 (million)
% 16.71/2.97  % (3255283)fmb+10_1_sil=64000:random_seed=909298269:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 16.71/2.97  % TRYING [1]
% 16.71/2.97  % TRYING [2]
% 16.71/2.97  % TRYING [3]
% 16.71/2.97  % (3255279)Instruction limit reached! 
% 16.71/2.97  % (3255279)------------------------------
% 16.71/2.97  % (3255279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.71/2.97  % (3255279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.71/2.97  % (3255279)CaDiCaL version: 2.1.3
% 16.71/2.97  % (3255279)Termination reason: Instruction limit
% 16.71/2.97  % (3255279)Termination phase: Saturation
% 16.71/2.97  % (3255279)Time elapsed: 0.422 s
% 16.71/2.97  % (3255279)Peak memory usage: 19 MB
% 16.71/2.97  % (3255279)Instructions burned: 692 (million)
% 16.71/2.97  % (3255285)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2799581578:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 16.71/2.97  % (3255285)Cannot represent all propositional literals internally
% 16.71/2.97  % (3255285)Refutation not found, incomplete strategy
% 16.71/2.97  % (3255285)------------------------------
% 16.71/2.97  % (3255285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.71/2.97  % (3255285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.71/2.97  % (3255285)CaDiCaL version: 2.1.3
% 16.71/2.97  % (3255285)Termination reason: Refutation not found, incomplete strategy
% 16.71/2.97  % (3255285)Time elapsed: 0.006 s
% 16.71/2.97  % (3255285)Peak memory usage: 10 MB
% 16.71/2.97  % (3255285)Instructions burned: 12 (million)
% 16.71/2.97  % (3255285)------------------------------
% 16.71/2.97  % (3255285)------------------------------
% 16.71/2.97  % (3255287)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1881105343:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 16.71/2.97  % (3255280)Instruction limit reached! 
% 16.71/2.97  % (3255280)------------------------------
% 16.71/2.97  % (3255280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.71/2.97  % (3255280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.71/2.97  % (3255280)CaDiCaL version: 2.1.3
% 16.71/2.97  % (3255280)Termination reason: Instruction limit
% 16.71/2.97  % (3255280)Termination phase: Saturation
% 16.71/2.97  % (3255280)Time elapsed: 0.471 s
% 16.71/2.97  % (3255280)Peak memory usage: 19 MB
% 16.71/2.97  % (3255280)Instructions burned: 880 (million)
% 16.71/2.97  % TRYING [8]
% 16.71/2.97  % (3255289)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1729167863:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 16.71/2.97  % (3255275)Instruction limit reached! 
% 16.71/2.97  % (3255275)------------------------------
% 16.71/2.97  % (3255275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.71/2.97  % (3255275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.71/2.97  % (3255275)CaDiCaL version: 2.1.3
% 16.71/2.97  % (3255275)Termination reason: Instruction limit
% 16.71/2.97  % (3255275)Termination phase: Saturation
% 16.71/2.97  % (3255275)Time elapsed: 0.752 s
% 16.71/2.97  % (3255275)Peak memory usage: 22 MB
% 16.71/2.97  % (3255275)Instructions burned: 1179 (million)
% 16.71/2.97  % (3255291)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3346374660:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 16.71/2.97  % (3255287)Instruction limit reached! 
% 16.71/2.97  % (3255287)------------------------------
% 16.71/2.97  % (3255287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.71/2.97  % (3255287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.71/2.97  % (3255287)CaDiCaL version: 2.1.3
% 16.71/2.97  % (3255287)Termination reason: Instruction limit
% 16.71/2.97  % (3255287)Termination phase: Finite model building constraint generation
% 16.71/2.97  % (3255287)Time elapsed: 0.292 s
% 16.71/2.97  % (3255287)Peak memory usage: 46 MB
% 16.71/2.97  % (3255287)Instructions burned: 923 (million)
% 16.71/2.97  % (3255293)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2361305806:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 16.71/2.97  % (3255293)Cannot represent all propositional literals internally
% 16.71/2.97  % (3255293)Refutation not found, incomplete strategy
% 16.71/2.97  % (3255293)------------------------------
% 16.71/2.97  % (3255293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.71/2.97  % (3255293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.71/2.97  % (3255293)CaDiCaL version: 2.1.3
% 16.71/2.97  % (3255293)Termination reason: Refutation not found, incomplete strategy
% 16.71/2.97  % (3255293)Time elapsed: 0.008 s
% 16.71/2.97  % (3255293)Peak memory usage: 11 MB
% 16.71/2.97  % (3255293)Instructions burned: 15 (million)
% 16.71/2.97  % (3255293)------------------------------
% 16.71/2.97  % (3255293)------------------------------
% 16.71/2.97  % (3255295)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2774238316:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 16.71/2.97  % (3255295)Cannot represent all propositional literals internally
% 16.71/2.97  % (3255295)Refutation not found, incomplete strategy
% 16.71/2.97  % (3255295)------------------------------
% 16.71/2.97  % (3255295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.71/2.97  % (3255295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.71/2.97  % (3255295)CaDiCaL version: 2.1.3
% 16.71/2.97  % (3255295)Termination reason: Refutation not found, incomplete strategy
% 16.71/2.97  % (3255295)Time elapsed: 0.083 s
% 16.71/2.97  % (3255295)Peak memory usage: 12 MB
% 16.71/2.97  % (3255295)Instructions burned: 165 (million)
% 16.71/2.97  % (3255295)------------------------------
% 16.71/2.97  % (3255295)------------------------------
% 16.71/2.97  % (3255297)ott-2_1_sil=16000:newcnf=on:random_seed=1810210148:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2985 on theBenchmark for (2985ds/869Mi)
% 16.71/2.97  % TRYING [4]
% 16.71/2.97  % (3255297)Instruction limit reached! 
% 16.71/2.97  % (3255297)------------------------------
% 16.71/2.97  % (3255297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.71/2.97  % (3255297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.71/2.97  % (3255297)CaDiCaL version: 2.1.3
% 16.71/2.97  % (3255297)Termination reason: Instruction limit
% 16.71/2.97  % (3255297)Termination phase: Saturation
% 16.71/2.97  % (3255297)Time elapsed: 0.565 s
% 16.71/2.97  % (3255297)Peak memory usage: 19 MB
% 16.71/2.97  % (3255297)Instructions burned: 870 (million)
% 16.71/2.97  % (3255299)ott+10_1_sil=32000:tgt=ground:random_seed=2390441289:i=5114:av=off_2979 on theBenchmark for (2979ds/5114Mi)
% 16.71/2.97  % (3255291)Instruction limit reached! 
% 16.71/2.97  % (3255291)------------------------------
% 16.71/2.97  % (3255291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.71/2.97  % (3255291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.71/2.97  % (3255291)CaDiCaL version: 2.1.3
% 16.71/2.97  % (3255291)Termination reason: Instruction limit
% 16.71/2.97  % (3255291)Termination phase: Saturation
% 16.71/2.97  % (3255291)Time elapsed: 0.965 s
% 16.71/2.97  % (3255291)Peak memory usage: 34 MB
% 16.71/2.97  % (3255291)Instructions burned: 1473 (million)
% 16.71/2.97  % (3255301)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=492882352:i=54282_2978 on theBenchmark for (2978ds/54282Mi)
% 16.71/2.97  % TRYING [1]
% 16.71/2.97  % TRYING [2]
% 16.71/2.97  % TRYING [3]
% 16.71/2.97  % (3255299) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3255203-3255299"...
% 16.71/2.97  % (3255299)...printing done.
% 16.71/2.97  % (3255299)Refutation found. Thanks to Tanya!
% 16.71/2.97  % SZS status Theorem for theBenchmark
% 16.71/2.97  % SZS output start Proof for theBenchmark
% See solution above
% 16.71/2.97  % (3255299)------------------------------
% 16.71/2.97  % (3255299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.71/2.97  % (3255299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.71/2.97  % (3255299)CaDiCaL version: 2.1.3
% 16.71/2.97  % (3255299)Termination reason: Refutation
% 16.71/2.97  % (3255299)Time elapsed: 0.400 s
% 16.71/2.97  % (3255299)Peak memory usage: 19 MB
% 16.71/2.97  % (3255299)Instructions burned: 632 (million)
% 16.71/2.97  % (3255203)Success in time 2.524 s
% 16.71/2.97  % Vampire exiting
%------------------------------------------------------------------------------