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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO644+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:54:56 AM UTC 2026

% Result   : Theorem 14.72s 2.69s
% Output   : Refutation 14.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  101 (  14 unt;   0 def)
%            Number of atoms       :  281 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  295 ( 115   ~; 113   |;  48   &)
%                                         (   0 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :  462 ( 446   !;  16   ?)

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

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

fof(f15,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).

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(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(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(f29,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD29) ).

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(f67,axiom,
    ! [X0,X1,X2] :
      ( para(X0,X1,X0,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

fof(f68,axiom,
    ! [X0,X1,X2] :
      ( ( cong(X0,X1,X0,X2)
        & coll(X0,X1,X2) )
     => midp(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).

fof(f71,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( midp(X4,X0,X1)
        & midp(X5,X2,X3) )
     => eqratio(X4,X0,X0,X1,X5,X2,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).

fof(f76,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
        & cong(X4,X5,X6,X7) )
     => cong(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD75) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( para(X1,X2,X0,X3)
        & para(X0,X1,X2,X3)
        & midp(X4,X2,X3)
        & midp(X5,X1,X0)
        & coll(X6,X0,X2)
        & coll(X6,X3,X5)
        & coll(X7,X1,X4)
        & coll(X7,X0,X2) )
     => cong(X0,X6,X6,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0061) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
        ( ( para(X1,X2,X0,X3)
          & para(X0,X1,X2,X3)
          & midp(X4,X2,X3)
          & midp(X5,X1,X0)
          & coll(X6,X0,X2)
          & coll(X6,X3,X5)
          & coll(X7,X1,X4)
          & coll(X7,X0,X2) )
       => cong(X0,X6,X6,X7) ),
    inference(negated_conjecture,[status(cth)],[f95]) ).

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

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

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

fof(f118,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X2,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f15]) ).

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(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(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(f135,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f29]) ).

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(f197,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
      | ~ para(X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f198,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f199,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(flattening,[],[f198]) ).

fof(f202,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
      | ~ midp(X4,X0,X1)
      | ~ midp(X5,X2,X3) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f203,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
      | ~ midp(X4,X0,X1)
      | ~ midp(X5,X2,X3) ),
    inference(flattening,[],[f202]) ).

fof(f212,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( cong(X0,X1,X2,X3)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
      | ~ cong(X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f213,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( cong(X0,X1,X2,X3)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
      | ~ cong(X4,X5,X6,X7) ),
    inference(flattening,[],[f212]) ).

fof(f249,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ cong(X0,X6,X6,X7)
      & para(X1,X2,X0,X3)
      & para(X0,X1,X2,X3)
      & midp(X4,X2,X3)
      & midp(X5,X1,X0)
      & coll(X6,X0,X2)
      & coll(X6,X3,X5)
      & coll(X7,X1,X4)
      & coll(X7,X0,X2) ),
    inference(ennf_transformation,[],[f96]) ).

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

fof(f270,plain,
    ( ~ cong(sK20,sK26,sK26,sK27)
    & para(sK21,sK22,sK20,sK23)
    & para(sK20,sK21,sK22,sK23)
    & midp(sK24,sK22,sK23)
    & midp(sK25,sK21,sK20)
    & coll(sK26,sK20,sK22)
    & coll(sK26,sK23,sK25)
    & coll(sK27,sK21,sK24)
    & coll(sK27,sK20,sK22) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[f250]) ).

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

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

fof(f285,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f118]) ).

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(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(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(f299,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(cnf_transformation,[],[f135]) ).

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(f337,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X2)
      | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f338,plain,
    ! [X2,X0,X1] :
      ( ~ cong(X0,X1,X0,X2)
      | midp(X0,X1,X2)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f341,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
      | ~ midp(X4,X0,X1)
      | ~ midp(X5,X2,X3) ),
    inference(cnf_transformation,[],[f203]) ).

fof(f346,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
      | cong(X0,X1,X2,X3)
      | ~ cong(X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f213]) ).

fof(f390,plain,
    para(sK20,sK21,sK22,sK23),
    inference(cnf_transformation,[],[f270]) ).

fof(f392,plain,
    ~ cong(sK20,sK26,sK26,sK27),
    inference(cnf_transformation,[],[f270]) ).

fof(f421,plain,
    para(sK22,sK23,sK20,sK21),
    inference(resolution,[],[f275,f390]) ).

fof(f531,plain,
    ! [X0,X1] :
      ( ~ para(X0,X1,sK20,sK21)
      | para(X0,X1,sK22,sK23) ),
    inference(resolution,[],[f276,f390]) ).

fof(f600,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(f601,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
      | ~ cyclic(X2,X1,X0,X3) ),
    inference(resolution,[],[f289,f311]) ).

fof(f614,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(f636,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqratio(X0,X1,X2,X3,X1,X4,X3,X5)
      | ~ midp(X0,X1,X4)
      | ~ midp(X2,X3,X5) ),
    inference(resolution,[],[f299,f341]) ).

fof(f1037,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X0)
      | ~ cyclic(X0,X1,X2,X1)
      | ~ cyclic(X0,X1,X2,X3)
      | cong(X0,X1,X0,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f314,f311]) ).

fof(f1043,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X1)
      | ~ cyclic(X0,X1,X2,X0)
      | cong(X0,X1,X0,X1) ),
    inference(duplicate_literal_removal,[],[f1037]) ).

fof(f1112,plain,
    para(sK22,sK23,sK22,sK23),
    inference(resolution,[],[f531,f421]) ).

fof(f1350,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | para(X2,X3,X2,X3) ),
    inference(resolution,[],[f600,f309]) ).

fof(f1384,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X2,X1,X3,X1,X2,X0,X3,X0)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f601,f291]) ).

fof(f1539,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | ~ coll(X0,X2,X1) ),
    inference(resolution,[],[f614,f313]) ).

fof(f1540,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | coll(X0,X2,X1) ),
    inference(resolution,[],[f614,f312]) ).

fof(f1550,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2) ),
    inference(forward_subsumption_resolution,[],[f1539,f1540]) ).

fof(f1877,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ cong(X1,X2,X4,X5)
      | ~ midp(X3,X4,X5)
      | cong(X0,X1,X3,X4)
      | ~ midp(X0,X1,X2) ),
    inference(resolution,[],[f636,f346]) ).

fof(f5887,plain,
    ! [X0,X1] : para(X0,X1,X0,X1),
    inference(resolution,[],[f1350,f1112]) ).

fof(f5942,plain,
    ! [X0,X1] : coll(X0,X1,X1),
    inference(resolution,[],[f5887,f337]) ).

fof(f5943,plain,
    ! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
    inference(resolution,[],[f5887,f1550]) ).

fof(f6439,plain,
    ! [X2,X0,X1] : cyclic(X0,X1,X0,X2),
    inference(resolution,[],[f5943,f285]) ).

fof(f6441,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X0,X1,X2)
      | cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f5943,f287]) ).

fof(f6471,plain,
    ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
    inference(forward_subsumption_resolution,[],[f6441,f5943]) ).

fof(f7319,plain,
    ! [X0,X1] :
      ( ~ cyclic(X0,X1,X0,X1)
      | ~ cyclic(X0,X1,X0,X0)
      | cong(X0,X1,X0,X1) ),
    inference(resolution,[],[f6439,f1043]) ).

fof(f7335,plain,
    ! [X0,X1] :
      ( ~ cyclic(X0,X1,X0,X1)
      | cong(X0,X1,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f7319,f6471]) ).

fof(f7340,plain,
    ! [X0,X1] : cong(X0,X1,X0,X1),
    inference(forward_subsumption_resolution,[],[f7335,f6471]) ).

fof(f8303,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X2)
      | ~ cyclic(X1,X1,X2,X0)
      | ~ cyclic(X1,X1,X2,X0)
      | ~ cyclic(X1,X1,X2,X2)
      | cong(X1,X1,X0,X0) ),
    inference(resolution,[],[f1384,f314]) ).

fof(f8316,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X2)
      | ~ cyclic(X1,X1,X2,X0)
      | ~ cyclic(X1,X1,X2,X2)
      | cong(X1,X1,X0,X0) ),
    inference(duplicate_literal_removal,[],[f8303]) ).

fof(f8317,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X2)
      | ~ cyclic(X1,X1,X2,X0)
      | cong(X1,X1,X0,X0) ),
    inference(forward_subsumption_resolution,[],[f8316,f6471]) ).

fof(f8327,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X2)
      | cong(X1,X1,X0,X0) ),
    inference(forward_subsumption_resolution,[],[f8317,f6471]) ).

fof(f8331,plain,
    ! [X0,X1] : cong(X1,X1,X0,X0),
    inference(forward_subsumption_resolution,[],[f8327,f6471]) ).

fof(f9054,plain,
    ! [X0,X1] :
      ( midp(X0,X1,X1)
      | ~ coll(X0,X1,X1) ),
    inference(resolution,[],[f7340,f338]) ).

fof(f9088,plain,
    ! [X0,X1] : midp(X0,X1,X1),
    inference(forward_subsumption_resolution,[],[f9054,f5942]) ).

fof(f14994,plain,
    ! [X2,X3,X0,X1] :
      ( ~ midp(X0,X1,X1)
      | cong(X2,X3,X0,X1)
      | ~ midp(X2,X3,X3) ),
    inference(resolution,[],[f1877,f8331]) ).

fof(f15015,plain,
    ! [X2,X3,X0,X1] :
      ( ~ midp(X0,X1,X1)
      | cong(X2,X3,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f14994,f9088]) ).

fof(f15029,plain,
    ! [X2,X3,X0,X1] : cong(X2,X3,X0,X1),
    inference(forward_subsumption_resolution,[],[f15015,f9088]) ).

fof(f15605,plain,
    $false,
    inference(resolution,[],[f15029,f392]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO644+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38  % Computer : n026.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 08:45:11 UTC 2026
% 0.10/0.39  % CPUTime  : 
% 0.10/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42  Running first-order model finding
% 0.10/0.42  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
% 6.71/1.49  % (2535362)Will run a generic schedule for satisfiability detection.
% 6.71/1.49  % (2535370)dis+10_1_sil=32000:sp=arity:random_seed=279762550:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.71/1.49  % (2535368)% WARNING: option uhcvi not known.
% 6.71/1.49  % (2535367)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3846976723_2999 on theBenchmark for (2999ds/0Mi)
% 6.71/1.49  % (2535372)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4284500299:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.71/1.49  % (2535369)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2980162916:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.71/1.49  % (2535368)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=591790376:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.71/1.49  % (2535371)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=663716179:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.71/1.49  % (2535373)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4187543628:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.71/1.49  % TRYING [1]
% 6.71/1.49  % TRYING [2]
% 6.71/1.49  % (2535370)Instruction limit reached! 
% 6.71/1.49  % (2535370)------------------------------
% 6.71/1.49  % (2535370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.49  % (2535370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.49  % (2535370)CaDiCaL version: 2.1.3
% 6.71/1.49  % (2535370)Termination reason: Instruction limit
% 6.71/1.49  % (2535370)Termination phase: Saturation
% 6.71/1.49  % (2535370)Time elapsed: 0.038 s
% 6.71/1.49  % (2535370)Peak memory usage: 13 MB
% 6.71/1.49  % (2535370)Instructions burned: 103 (million)
% 6.71/1.49  % TRYING [3]
% 6.71/1.49  % (2535381)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3111625338:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.71/1.49  % TRYING [1]
% 6.71/1.49  % TRYING [2]
% 6.71/1.49  % TRYING [3]
% 6.71/1.49  % (2535371)Instruction limit reached! 
% 6.71/1.49  % (2535371)------------------------------
% 6.71/1.49  % (2535371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.49  % (2535371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.49  % (2535371)CaDiCaL version: 2.1.3
% 6.71/1.49  % (2535371)Termination reason: Instruction limit
% 6.71/1.49  % (2535371)Termination phase: Saturation
% 6.71/1.49  % (2535371)Time elapsed: 0.070 s
% 6.71/1.49  % (2535371)Peak memory usage: 13 MB
% 6.71/1.49  % (2535371)Instructions burned: 117 (million)
% 6.71/1.49  % (2535372)Instruction limit reached! 
% 6.71/1.49  % (2535372)------------------------------
% 6.71/1.49  % (2535372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.49  % (2535372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.49  % (2535372)CaDiCaL version: 2.1.3
% 6.71/1.49  % (2535372)Termination reason: Instruction limit
% 6.71/1.49  % (2535372)Termination phase: Saturation
% 6.71/1.49  % (2535372)Time elapsed: 0.082 s
% 6.71/1.49  % (2535372)Peak memory usage: 15 MB
% 6.71/1.49  % (2535372)Instructions burned: 132 (million)
% 6.71/1.49  % (2535383)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2268356077:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.71/1.49  % (2535373)Instruction limit reached! 
% 6.71/1.49  % (2535373)------------------------------
% 6.71/1.49  % (2535373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.49  % (2535373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.49  % (2535373)CaDiCaL version: 2.1.3
% 6.71/1.49  % (2535373)Termination reason: Instruction limit
% 6.71/1.49  % (2535373)Termination phase: Saturation
% 6.71/1.49  % (2535373)Time elapsed: 0.098 s
% 6.71/1.49  % (2535373)Peak memory usage: 13 MB
% 6.71/1.49  % (2535373)Instructions burned: 159 (million)
% 6.71/1.49  % (2535384)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=4086627224:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.71/1.49  % (2535386)ott-21_1_sil=16000:fs=off:random_seed=2640902949:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.71/1.49  % (2535383)Instruction limit reached! 
% 6.71/1.49  % (2535383)------------------------------
% 6.71/1.49  % (2535383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.49  % (2535383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.72/2.69  % (2535383)CaDiCaL version: 2.1.3
% 14.72/2.69  % (2535383)Termination reason: Instruction limit
% 14.72/2.69  % (2535383)Termination phase: Saturation
% 14.72/2.69  % (2535383)Time elapsed: 0.082 s
% 14.72/2.69  % (2535383)Peak memory usage: 14 MB
% 14.72/2.69  % (2535383)Instructions burned: 132 (million)
% 14.72/2.69  % (2535381)Instruction limit reached! 
% 14.72/2.69  % (2535381)------------------------------
% 14.72/2.69  % (2535381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.72/2.69  % (2535381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.72/2.69  % (2535381)CaDiCaL version: 2.1.3
% 14.72/2.69  % (2535381)Termination reason: Instruction limit
% 14.72/2.69  % (2535381)Termination phase: Finite model building constraint generation
% 14.72/2.69  % (2535381)Time elapsed: 0.133 s
% 14.72/2.69  % (2535381)Peak memory usage: 25 MB
% 14.72/2.69  % (2535381)Instructions burned: 716 (million)
% 14.72/2.69  % (2535390)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1335511507:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 14.72/2.69  % TRYING [1]
% 14.72/2.69  % TRYING [2]
% 14.72/2.69  % (2535389)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=910168988:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 14.72/2.69  % (2535386)Instruction limit reached! 
% 14.72/2.69  % (2535386)------------------------------
% 14.72/2.69  % (2535386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.72/2.69  % (2535386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.72/2.69  % (2535386)CaDiCaL version: 2.1.3
% 14.72/2.69  % (2535386)Termination reason: Instruction limit
% 14.72/2.69  % (2535386)Termination phase: Saturation
% 14.72/2.69  % (2535386)Time elapsed: 0.097 s
% 14.72/2.69  % (2535386)Peak memory usage: 13 MB
% 14.72/2.69  % (2535386)Instructions burned: 181 (million)
% 14.72/2.69  % TRYING [3]
% 14.72/2.69  % (2535393)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3720893745:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 14.72/2.69  % (2535390)Instruction limit reached! 
% 14.72/2.69  % (2535390)------------------------------
% 14.72/2.69  % (2535390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.72/2.69  % (2535390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.72/2.69  % (2535390)CaDiCaL version: 2.1.3
% 14.72/2.69  % (2535390)Termination reason: Instruction limit
% 14.72/2.69  % (2535390)Termination phase: Finite model building constraint generation
% 14.72/2.69  % (2535390)Time elapsed: 0.163 s
% 14.72/2.69  % (2535390)Peak memory usage: 51 MB
% 14.72/2.69  % (2535390)Instructions burned: 869 (million)
% 14.72/2.69  % (2535395)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3100965936:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 14.72/2.69  % (2535395)Cannot represent all propositional literals internally
% 14.72/2.69  % (2535395)Refutation not found, incomplete strategy
% 14.72/2.69  % (2535395)------------------------------
% 14.72/2.69  % (2535395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.72/2.69  % (2535395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.72/2.69  % (2535395)CaDiCaL version: 2.1.3
% 14.72/2.69  % (2535395)Termination reason: Refutation not found, incomplete strategy
% 14.72/2.69  % (2535395)Time elapsed: 0.003 s
% 14.72/2.69  % (2535395)Peak memory usage: 11 MB
% 14.72/2.69  % (2535395)Instructions burned: 12 (million)
% 14.72/2.69  % (2535395)------------------------------
% 14.72/2.69  % (2535395)------------------------------
% 14.72/2.69  % (2535397)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=2062820062:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 14.72/2.69  % (2535389)Instruction limit reached! 
% 14.72/2.69  % (2535389)------------------------------
% 14.72/2.69  % (2535389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.72/2.69  % (2535389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.72/2.69  % (2535389)CaDiCaL version: 2.1.3
% 14.72/2.69  % (2535389)Termination reason: Instruction limit
% 14.72/2.69  % (2535389)Termination phase: Saturation
% 14.72/2.69  % (2535389)Time elapsed: 0.301 s
% 14.72/2.69  % (2535389)Peak memory usage: 15 MB
% 14.72/2.69  % (2535389)Instructions burned: 478 (million)
% 14.72/2.69  % (2535384)Instruction limit reached! 
% 14.72/2.69  % (2535384)------------------------------
% 14.72/2.69  % (2535384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.72/2.69  % (2535384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.72/2.69  % (2535384)CaDiCaL version: 2.1.3
% 14.72/2.69  % (2535384)Termination reason: Instruction limit
% 14.72/2.69  % (2535384)Termination phase: Saturation
% 14.72/2.69  % (2535384)Time elapsed: 0.399 s
% 14.72/2.69  % (2535384)Peak memory usage: 19 MB
% 14.72/2.69  % (2535384)Instructions burned: 685 (million)
% 14.72/2.69  % (2535399)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3660326787:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 14.72/2.69  % (2535400)fmb+10_1_sil=64000:random_seed=4245124727:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 14.72/2.69  % TRYING [1]
% 14.72/2.69  % TRYING [2]
% 14.72/2.69  % (2535397)Instruction limit reached! 
% 14.72/2.69  % (2535397)------------------------------
% 14.72/2.69  % (2535397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.72/2.69  % (2535397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.72/2.69  % (2535397)CaDiCaL version: 2.1.3
% 14.72/2.69  % (2535397)Termination reason: Instruction limit
% 14.72/2.69  % (2535397)Termination phase: Saturation
% 14.72/2.69  % (2535397)Time elapsed: 0.231 s
% 14.72/2.69  % (2535397)Peak memory usage: 22 MB
% 14.72/2.69  % (2535397)Instructions burned: 692 (million)
% 14.72/2.69  % TRYING [3]
% 14.72/2.69  % (2535403)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1654331514:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 14.72/2.69  % (2535403)Cannot represent all propositional literals internally
% 14.72/2.69  % (2535403)Refutation not found, incomplete strategy
% 14.72/2.69  % (2535403)------------------------------
% 14.72/2.69  % (2535403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.72/2.69  % (2535403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.72/2.69  % (2535403)CaDiCaL version: 2.1.3
% 14.72/2.69  % (2535403)Termination reason: Refutation not found, incomplete strategy
% 14.72/2.69  % (2535403)Time elapsed: 0.003 s
% 14.72/2.69  % (2535403)Peak memory usage: 11 MB
% 14.72/2.69  % (2535403)Instructions burned: 12 (million)
% 14.72/2.69  % (2535403)------------------------------
% 14.72/2.69  % (2535403)------------------------------
% 14.72/2.69  % (2535405)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=554705967:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 14.72/2.69  % TRYING [8]
% 14.72/2.69  % (2535405)Instruction limit reached! 
% 14.72/2.69  % (2535405)------------------------------
% 14.72/2.69  % (2535405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.72/2.69  % (2535405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.72/2.69  % (2535405)CaDiCaL version: 2.1.3
% 14.72/2.69  % (2535405)Termination reason: Instruction limit
% 14.72/2.69  % (2535405)Termination phase: Finite model building constraint generation
% 14.72/2.69  % (2535405)Time elapsed: 0.152 s
% 14.72/2.69  % (2535405)Peak memory usage: 46 MB
% 14.72/2.69  % (2535405)Instructions burned: 926 (million)
% 14.72/2.69  % (2535407)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1720700606:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 14.72/2.69  % (2535393)Instruction limit reached! 
% 14.72/2.69  % (2535393)------------------------------
% 14.72/2.69  % (2535393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.72/2.69  % (2535393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.72/2.69  % (2535393)CaDiCaL version: 2.1.3
% 14.72/2.69  % (2535393)Termination reason: Instruction limit
% 14.72/2.69  % (2535393)Termination phase: Saturation
% 14.72/2.69  % (2535393)Time elapsed: 0.716 s
% 14.72/2.69  % (2535393)Peak memory usage: 23 MB
% 14.72/2.69  % (2535393)Instructions burned: 1180 (million)
% 14.72/2.69  % (2535409)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1288219733:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 14.72/2.69  % (2535399)Instruction limit reached! 
% 14.72/2.69  % (2535399)------------------------------
% 14.72/2.69  % (2535399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.72/2.69  % (2535399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.72/2.69  % (2535399)CaDiCaL version: 2.1.3
% 14.72/2.69  % (2535399)Termination reason: Instruction limit
% 14.72/2.69  % (2535399)Termination phase: Saturation
% 14.72/2.69  % (2535399)Time elapsed: 0.490 s
% 14.72/2.69  % (2535399)Peak memory usage: 18 MB
% 14.72/2.69  % (2535399)Instructions burned: 880 (million)
% 14.72/2.69  % (2535411)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1998783729:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 14.72/2.69  % (2535411)Cannot represent all propositional literals internally
% 14.72/2.69  % (2535411)Refutation not found, incomplete strategy
% 14.72/2.69  % (2535411)------------------------------
% 14.72/2.69  % (2535411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.72/2.69  % (2535411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.72/2.69  % (2535411)CaDiCaL version: 2.1.3
% 14.72/2.69  % (2535411)Termination reason: Refutation not found, incomplete strategy
% 14.72/2.69  % (2535411)Time elapsed: 0.008 s
% 14.72/2.69  % (2535411)Peak memory usage: 11 MB
% 14.72/2.69  % (2535411)Instructions burned: 15 (million)
% 14.72/2.69  % (2535411)------------------------------
% 14.72/2.69  % (2535411)------------------------------
% 14.72/2.69  % (2535413)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=839021887:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 14.72/2.69  % (2535413)Cannot represent all propositional literals internally
% 14.72/2.69  % (2535413)Refutation not found, incomplete strategy
% 14.72/2.69  % (2535413)------------------------------
% 14.72/2.69  % (2535413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.72/2.69  % (2535413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.72/2.69  % (2535413)CaDiCaL version: 2.1.3
% 14.72/2.69  % (2535413)Termination reason: Refutation not found, incomplete strategy
% 14.72/2.69  % (2535413)Time elapsed: 0.082 s
% 14.72/2.69  % (2535413)Peak memory usage: 12 MB
% 14.72/2.69  % (2535413)Instructions burned: 166 (million)
% 14.72/2.69  % (2535413)------------------------------
% 14.72/2.69  % (2535413)------------------------------
% 14.72/2.69  % (2535415)ott-2_1_sil=16000:newcnf=on:random_seed=206059642:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 14.72/2.69  % (2535415)Instruction limit reached! 
% 14.72/2.69  % (2535415)------------------------------
% 14.72/2.69  % (2535415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.72/2.69  % (2535415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.72/2.69  % (2535415)CaDiCaL version: 2.1.3
% 14.72/2.69  % (2535415)Termination reason: Instruction limit
% 14.72/2.69  % (2535415)Termination phase: Saturation
% 14.72/2.69  % (2535415)Time elapsed: 0.555 s
% 14.72/2.69  % (2535415)Peak memory usage: 18 MB
% 14.72/2.69  % (2535415)Instructions burned: 870 (million)
% 14.72/2.69  % (2535417)ott+10_1_sil=32000:tgt=ground:random_seed=1692781972:i=5114:av=off_2982 on theBenchmark for (2982ds/5114Mi)
% 14.72/2.69  % (2535409)Instruction limit reached! 
% 14.72/2.69  % (2535409)------------------------------
% 14.72/2.69  % (2535409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.72/2.69  % (2535409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.72/2.69  % (2535409)CaDiCaL version: 2.1.3
% 14.72/2.69  % (2535409)Termination reason: Instruction limit
% 14.72/2.69  % (2535409)Termination phase: Saturation
% 14.72/2.69  % (2535409)Time elapsed: 0.934 s
% 14.72/2.69  % (2535409)Peak memory usage: 34 MB
% 14.72/2.69  % (2535409)Instructions burned: 1473 (million)
% 14.72/2.69  % TRYING [4]
% 14.72/2.69  % (2535419)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4116607677:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 14.72/2.69  % TRYING [1]
% 14.72/2.69  % TRYING [2]
% 14.72/2.69  % TRYING [3]
% 14.72/2.69  % (2535417) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2535362-2535417"...
% 14.72/2.69  % (2535417)...printing done.
% 14.72/2.69  % (2535417)Refutation found. Thanks to Tanya!
% 14.72/2.69  % SZS status Theorem for theBenchmark
% 14.72/2.69  % SZS output start Proof for theBenchmark
% See solution above
% 14.72/2.69  % (2535417)------------------------------
% 14.72/2.69  % (2535417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.72/2.69  % (2535417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.72/2.69  % (2535417)CaDiCaL version: 2.1.3
% 14.72/2.69  % (2535417)Termination reason: Refutation
% 14.72/2.69  % (2535417)Time elapsed: 0.450 s
% 14.72/2.69  % (2535417)Peak memory usage: 19 MB
% 14.72/2.69  % (2535417)Instructions burned: 712 (million)
% 14.72/2.69  % (2535362)Success in time 2.263 s
% 14.72/2.69  % Vampire exiting
%------------------------------------------------------------------------------