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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO653+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 8.08s 1.78s
% Output   : Refutation 8.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  230 (  58 unt;   2 def)
%            Number of atoms       :  530 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  516 ( 216   ~; 210   |;  59   &)
%                                         (   2 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   3 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :  674 (   0 sgn 658   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( coll(X0,X1,X2)
        & coll(X0,X1,X3) )
     => coll(X2,X3,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

fof(f4,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).

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(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(f11,axiom,
    ! [X0,X1,X2] :
      ( midp(X2,X1,X0)
     => midp(X2,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).

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(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(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(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(f45,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X3,X0,X1)
        & midp(X4,X0,X2) )
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).

fof(f46,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X3,X0,X1)
        & para(X3,X4,X1,X2)
        & coll(X4,X0,X2) )
     => midp(X4,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).

fof(f47,axiom,
    ! [X0,X1,X2] :
      ( cong(X2,X0,X2,X1)
     => eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).

fof(f55,axiom,
    ! [X0,X1,X2,X3] :
      ( ( cyclic(X0,X1,X2,X3)
        & para(X0,X1,X2,X3) )
     => eqangle(X0,X3,X2,X3,X2,X3,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD54) ).

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(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(f73,axiom,
    ! [X0,X1,X2,X3] :
      ( ( eqangle(X0,X1,X2,X3,X2,X3,X0,X1)
        & ~ perp(X0,X1,X2,X3) )
     => para(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD72) ).

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,X6,X7] :
      ( ( para(X0,X1,X2,X3)
        & para(X0,X2,X1,X3)
        & coll(X4,X2,X3)
        & para(X0,X3,X5,X4)
        & coll(X5,X0,X1)
        & coll(X6,X3,X5)
        & coll(X6,X0,X4)
        & coll(X7,X1,X4)
        & coll(X7,X2,X5) )
     => para(X6,X7,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0227) ).

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

fof(f98,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X2,X1)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f99,plain,
    ! [X0,X1,X2] :
      ( coll(X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f100,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X2)
      | ~ coll(X0,X1,X3) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f101,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X2)
      | ~ coll(X0,X1,X3) ),
    inference(flattening,[],[f100]) ).

fof(f102,plain,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X3,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f4]) ).

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(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(f112,plain,
    ! [X0,X1,X2] :
      ( midp(X2,X0,X1)
      | ~ midp(X2,X1,X0) ),
    inference(ennf_transformation,[],[f11]) ).

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(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(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(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(f157,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1)
      | ~ midp(X4,X0,X2) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f158,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1)
      | ~ midp(X4,X0,X2) ),
    inference(flattening,[],[f157]) ).

fof(f159,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X0,X2)
      | ~ midp(X3,X0,X1)
      | ~ para(X3,X4,X1,X2)
      | ~ coll(X4,X0,X2) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f160,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X0,X2)
      | ~ midp(X3,X0,X1)
      | ~ para(X3,X4,X1,X2)
      | ~ coll(X4,X0,X2) ),
    inference(flattening,[],[f159]) ).

fof(f161,plain,
    ! [X0,X1,X2] :
      ( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
      | ~ cong(X2,X0,X2,X1) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f176,plain,
    ! [X0,X1,X2,X3] :
      ( eqangle(X0,X3,X2,X3,X2,X3,X2,X1)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f177,plain,
    ! [X0,X1,X2,X3] :
      ( eqangle(X0,X3,X2,X3,X2,X3,X2,X1)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ para(X0,X1,X2,X3) ),
    inference(flattening,[],[f176]) ).

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(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(f206,plain,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X2,X3,X2,X3,X0,X1)
      | perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f207,plain,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X2,X3,X2,X3,X0,X1)
      | perp(X0,X1,X2,X3) ),
    inference(flattening,[],[f206]) ).

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,X6,X7] :
      ( ~ para(X6,X7,X0,X1)
      & para(X0,X1,X2,X3)
      & para(X0,X2,X1,X3)
      & coll(X4,X2,X3)
      & para(X0,X3,X5,X4)
      & coll(X5,X0,X1)
      & coll(X6,X3,X5)
      & coll(X6,X0,X4)
      & coll(X7,X1,X4)
      & coll(X7,X2,X5) ),
    inference(ennf_transformation,[],[f96]) ).

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

fof(f270,plain,
    ( ~ para(sK26,sK27,sK20,sK21)
    & para(sK20,sK21,sK22,sK23)
    & para(sK20,sK22,sK21,sK23)
    & coll(sK24,sK22,sK23)
    & para(sK20,sK23,sK25,sK24)
    & coll(sK25,sK20,sK21)
    & coll(sK26,sK23,sK25)
    & coll(sK26,sK20,sK24)
    & coll(sK27,sK21,sK24)
    & coll(sK27,sK22,sK25) ),
    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(f271,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X0,X2,X1) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f272,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X1,X0,X2) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f273,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2)
      | coll(X2,X3,X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f274,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X2,X3)
      | para(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f102]) ).

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(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(f281,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X2,X1,X0)
      | midp(X2,X0,X1) ),
    inference(cnf_transformation,[],[f112]) ).

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(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(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] :
      ( ~ cyclic(X0,X1,X2,X3)
      | eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f150]) ).

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] :
      ( ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | cong(X0,X1,X3,X4)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f315,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1)
      | para(X3,X4,X1,X2) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f316,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X3,X0,X1)
      | midp(X4,X0,X2)
      | ~ para(X3,X4,X1,X2)
      | ~ coll(X4,X0,X2) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f317,plain,
    ! [X2,X0,X1] :
      ( ~ cong(X2,X0,X2,X1)
      | eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f325,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | eqangle(X0,X3,X2,X3,X2,X3,X2,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f177]) ).

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(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(f343,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X0,X1,X2,X3,X2,X3,X0,X1)
      | para(X0,X1,X2,X3)
      | perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f207]) ).

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,
    coll(sK27,sK22,sK25),
    inference(cnf_transformation,[],[f270]) ).

fof(f385,plain,
    coll(sK27,sK21,sK24),
    inference(cnf_transformation,[],[f270]) ).

fof(f386,plain,
    coll(sK26,sK20,sK24),
    inference(cnf_transformation,[],[f270]) ).

fof(f387,plain,
    coll(sK26,sK23,sK25),
    inference(cnf_transformation,[],[f270]) ).

fof(f388,plain,
    coll(sK25,sK20,sK21),
    inference(cnf_transformation,[],[f270]) ).

fof(f389,plain,
    para(sK20,sK23,sK25,sK24),
    inference(cnf_transformation,[],[f270]) ).

fof(f390,plain,
    coll(sK24,sK22,sK23),
    inference(cnf_transformation,[],[f270]) ).

fof(f391,plain,
    para(sK20,sK22,sK21,sK23),
    inference(cnf_transformation,[],[f270]) ).

fof(f393,plain,
    ~ para(sK26,sK27,sK20,sK21),
    inference(cnf_transformation,[],[f270]) ).

fof(f395,plain,
    coll(sK25,sK21,sK20),
    inference(resolution,[],[f271,f388]) ).

fof(f396,plain,
    coll(sK26,sK24,sK20),
    inference(resolution,[],[f271,f386]) ).

fof(f397,plain,
    coll(sK26,sK25,sK23),
    inference(resolution,[],[f271,f387]) ).

fof(f398,plain,
    coll(sK27,sK25,sK22),
    inference(resolution,[],[f271,f384]) ).

fof(f412,plain,
    coll(sK24,sK26,sK20),
    inference(resolution,[],[f272,f396]) ).

fof(f414,plain,
    coll(sK21,sK27,sK24),
    inference(resolution,[],[f272,f385]) ).

fof(f417,plain,
    coll(sK25,sK27,sK22),
    inference(resolution,[],[f272,f398]) ).

fof(f427,plain,
    coll(sK21,sK24,sK27),
    inference(resolution,[],[f414,f271]) ).

fof(f472,plain,
    para(sK25,sK24,sK20,sK23),
    inference(resolution,[],[f275,f389]) ).

fof(f474,plain,
    para(sK21,sK23,sK20,sK22),
    inference(resolution,[],[f275,f391]) ).

fof(f481,plain,
    para(sK21,sK23,sK22,sK20),
    inference(resolution,[],[f474,f274]) ).

fof(f521,plain,
    ! [X0] :
      ( ~ coll(sK21,sK24,X0)
      | coll(X0,sK27,sK21) ),
    inference(resolution,[],[f273,f427]) ).

fof(f534,plain,
    ! [X0] :
      ( ~ coll(sK24,sK22,X0)
      | coll(X0,sK23,sK24) ),
    inference(resolution,[],[f273,f390]) ).

fof(f536,plain,
    ! [X0] :
      ( ~ coll(sK24,sK26,X0)
      | coll(X0,sK20,sK24) ),
    inference(resolution,[],[f273,f412]) ).

fof(f538,plain,
    ! [X0] :
      ( ~ coll(sK25,sK20,X0)
      | coll(X0,sK21,sK25) ),
    inference(resolution,[],[f273,f388]) ).

fof(f539,plain,
    ! [X0] :
      ( ~ coll(sK25,sK21,X0)
      | coll(X0,sK20,sK25) ),
    inference(resolution,[],[f273,f395]) ).

fof(f543,plain,
    ! [X0] :
      ( ~ coll(sK25,sK27,X0)
      | coll(X0,sK22,sK25) ),
    inference(resolution,[],[f273,f417]) ).

fof(f545,plain,
    ! [X0] :
      ( ~ coll(sK26,sK23,X0)
      | coll(X0,sK25,sK26) ),
    inference(resolution,[],[f273,f387]) ).

fof(f547,plain,
    ! [X0] :
      ( ~ coll(sK26,sK25,X0)
      | coll(X0,sK23,sK26) ),
    inference(resolution,[],[f273,f397]) ).

fof(f552,plain,
    coll(sK23,sK23,sK24),
    inference(resolution,[],[f534,f390]) ).

fof(f553,plain,
    ! [X0] :
      ( ~ coll(sK23,sK23,X0)
      | coll(X0,sK24,sK23) ),
    inference(resolution,[],[f552,f273]) ).

fof(f582,plain,
    coll(sK25,sK25,sK26),
    inference(resolution,[],[f545,f387]) ).

fof(f585,plain,
    coll(sK25,sK26,sK25),
    inference(resolution,[],[f582,f271]) ).

fof(f586,plain,
    ! [X0] :
      ( ~ coll(sK25,sK26,X0)
      | coll(X0,sK25,sK25) ),
    inference(resolution,[],[f585,f273]) ).

fof(f695,plain,
    coll(sK20,sK20,sK25),
    inference(resolution,[],[f539,f395]) ).

fof(f699,plain,
    coll(sK20,sK25,sK20),
    inference(resolution,[],[f695,f271]) ).

fof(f701,plain,
    ! [X0] :
      ( ~ coll(sK20,sK25,X0)
      | coll(X0,sK20,sK20) ),
    inference(resolution,[],[f699,f273]) ).

fof(f739,plain,
    coll(sK23,sK23,sK26),
    inference(resolution,[],[f547,f397]) ).

fof(f970,plain,
    coll(sK26,sK24,sK23),
    inference(resolution,[],[f553,f739]) ).

fof(f974,plain,
    coll(sK26,sK23,sK24),
    inference(resolution,[],[f970,f271]) ).

fof(f982,plain,
    coll(sK24,sK25,sK26),
    inference(resolution,[],[f974,f545]) ).

fof(f1001,plain,
    coll(sK25,sK24,sK26),
    inference(resolution,[],[f982,f272]) ).

fof(f1002,plain,
    coll(sK24,sK26,sK25),
    inference(resolution,[],[f982,f271]) ).

fof(f1038,plain,
    coll(sK25,sK26,sK24),
    inference(resolution,[],[f1001,f271]) ).

fof(f1039,plain,
    coll(sK25,sK20,sK24),
    inference(resolution,[],[f1002,f536]) ).

fof(f1092,plain,
    coll(sK24,sK21,sK25),
    inference(resolution,[],[f1039,f538]) ).

fof(f1170,plain,
    coll(sK21,sK24,sK25),
    inference(resolution,[],[f1092,f272]) ).

fof(f1258,plain,
    coll(sK25,sK27,sK21),
    inference(resolution,[],[f1170,f521]) ).

fof(f1354,plain,
    coll(sK21,sK22,sK25),
    inference(resolution,[],[f1258,f543]) ).

fof(f1450,plain,
    coll(sK21,sK25,sK22),
    inference(resolution,[],[f1354,f271]) ).

fof(f1520,plain,
    ! [X0,X1] :
      ( ~ para(X0,X1,sK20,sK23)
      | para(X0,X1,sK25,sK24) ),
    inference(resolution,[],[f276,f389]) ).

fof(f1527,plain,
    ! [X0,X1] :
      ( para(X0,X1,sK22,sK20)
      | ~ para(X0,X1,sK21,sK23) ),
    inference(resolution,[],[f276,f481]) ).

fof(f1565,plain,
    coll(sK25,sK21,sK22),
    inference(resolution,[],[f1450,f272]) ).

fof(f1651,plain,
    coll(sK22,sK20,sK25),
    inference(resolution,[],[f1565,f539]) ).

fof(f1746,plain,
    coll(sK20,sK22,sK25),
    inference(resolution,[],[f1651,f272]) ).

fof(f1848,plain,
    coll(sK20,sK25,sK22),
    inference(resolution,[],[f1746,f271]) ).

fof(f2202,plain,
    coll(sK24,sK25,sK25),
    inference(resolution,[],[f586,f1038]) ).

fof(f2212,plain,
    coll(sK25,sK24,sK25),
    inference(resolution,[],[f2202,f272]) ).

fof(f2216,plain,
    coll(sK25,sK25,sK24),
    inference(resolution,[],[f2212,f271]) ).

fof(f2342,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
      | ~ para(X1,X0,X4,X5) ),
    inference(resolution,[],[f288,f310]) ).

fof(f2445,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(f2464,plain,
    coll(sK22,sK20,sK20),
    inference(resolution,[],[f701,f1848]) ).

fof(f2493,plain,
    coll(sK20,sK22,sK20),
    inference(resolution,[],[f2464,f272]) ).

fof(f2502,plain,
    coll(sK20,sK20,sK22),
    inference(resolution,[],[f2493,f271]) ).

fof(f2629,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(f6116,plain,
    para(sK25,sK24,sK25,sK24),
    inference(resolution,[],[f1520,f472]) ).

fof(f6308,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X2,X3,X4,X5)
      | para(X1,X0,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f2342,f344]) ).

fof(f6370,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | para(X2,X3,X2,X3) ),
    inference(resolution,[],[f2445,f309]) ).

fof(f6377,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X2,X1,X0,X0)
      | ~ coll(X0,X0,X1) ),
    inference(resolution,[],[f2445,f313]) ).

fof(f6381,definition,
    ( spl28_1
  <=> ! [X2,X3] : para(X2,X3,X2,X3) ),
    introduced(definition,[new_symbols(definition,[spl28_1])],[avatar_definition]) ).

fof(f6382,plain,
    ( ! [X2,X3] : para(X2,X3,X2,X3)
    | ~ spl28_1 ),
    inference(avatar_component_clause,[],[f6381]) ).

fof(f6384,definition,
    ( spl28_2
  <=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
    introduced(definition,[new_symbols(definition,[spl28_2])],[avatar_definition]) ).

fof(f6385,plain,
    ( ! [X0,X1] : ~ para(X0,X1,X0,X1)
    | ~ spl28_2 ),
    inference(avatar_component_clause,[],[f6384]) ).

fof(f6386,plain,
    ( spl28_1
    | spl28_2 ),
    inference(avatar_split_clause,[],[f6370,f6384,f6381]) ).

fof(f6387,plain,
    ( ! [X0,X1] : coll(X0,X1,X1)
    | ~ spl28_1 ),
    inference(resolution,[],[f6382,f337]) ).

fof(f6419,plain,
    ( ! [X0,X1] : coll(X0,X1,X0)
    | ~ spl28_1 ),
    inference(resolution,[],[f6387,f272]) ).

fof(f6935,plain,
    ( ! [X0,X1] : coll(X0,X0,X1)
    | ~ spl28_1 ),
    inference(resolution,[],[f6419,f271]) ).

fof(f7448,plain,
    ( ! [X2,X0,X1] :
        ( ~ coll(X0,X0,X1)
        | coll(X1,X2,X0) )
    | ~ spl28_1 ),
    inference(resolution,[],[f6935,f273]) ).

fof(f7515,plain,
    ( ! [X2,X0,X1] : coll(X1,X2,X0)
    | ~ spl28_1 ),
    inference(forward_subsumption_resolution,[],[f7448,f6935]) ).

fof(f12403,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | ~ coll(X0,X2,X1) ),
    inference(resolution,[],[f2629,f313]) ).

fof(f12406,plain,
    ( ! [X2,X0,X1] :
        ( cyclic(X1,X1,X0,X2)
        | ~ coll(X0,X2,X1) )
    | ~ spl28_1 ),
    inference(forward_subsumption_resolution,[],[f12403,f6382]) ).

fof(f12407,plain,
    ( ! [X2,X0,X1] : cyclic(X1,X1,X0,X2)
    | ~ spl28_1 ),
    inference(forward_subsumption_resolution,[],[f12406,f7515]) ).

fof(f12409,plain,
    ( ! [X2,X0,X1] : cyclic(X0,X1,X0,X2)
    | ~ spl28_1 ),
    inference(resolution,[],[f12407,f285]) ).

fof(f12411,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ cyclic(X0,X0,X1,X2)
        | cyclic(X0,X1,X2,X3) )
    | ~ spl28_1 ),
    inference(resolution,[],[f12407,f287]) ).

fof(f12413,plain,
    ( ! [X2,X0,X1] :
        ( ~ para(X0,X0,X2,X1)
        | eqangle(X0,X1,X2,X1,X2,X1,X2,X0) )
    | ~ spl28_1 ),
    inference(resolution,[],[f12407,f325]) ).

fof(f12415,plain,
    ( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
    | ~ spl28_1 ),
    inference(forward_subsumption_resolution,[],[f12411,f12407]) ).

fof(f12420,plain,
    ( ! [X2,X0,X1] : eqangle(X0,X0,X0,X1,X2,X0,X2,X1)
    | ~ spl28_1 ),
    inference(resolution,[],[f12409,f311]) ).

fof(f12427,plain,
    ( ! [X2,X3,X0,X1] : eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
    | ~ spl28_1 ),
    inference(resolution,[],[f12415,f311]) ).

fof(f12452,plain,
    ( ! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X1,X0,X3,X2,X3)
    | ~ spl28_1 ),
    inference(resolution,[],[f12427,f291]) ).

fof(f12495,plain,
    ( ! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X0,X1,X3,X2,X3)
    | ~ spl28_1 ),
    inference(resolution,[],[f12452,f288]) ).

fof(f12541,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ para(X1,X3,X2,X3)
        | para(X0,X1,X2,X0) )
    | ~ spl28_1 ),
    inference(resolution,[],[f12495,f344]) ).

fof(f12544,plain,
    ( ! [X2,X3,X0,X1] : eqangle(X0,X1,X1,X2,X0,X3,X2,X3)
    | ~ spl28_1 ),
    inference(resolution,[],[f12495,f289]) ).

fof(f12635,plain,
    ( ! [X2,X3,X0,X1] : eqangle(X0,X1,X0,X2,X1,X3,X2,X3)
    | ~ spl28_1 ),
    inference(resolution,[],[f12544,f288]) ).

fof(f12751,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ para(X1,X3,X2,X3)
        | para(X0,X1,X0,X2) )
    | ~ spl28_1 ),
    inference(resolution,[],[f12635,f344]) ).

fof(f13348,plain,
    ! [X0] :
      ( cyclic(X0,sK24,sK25,sK25)
      | ~ coll(sK25,sK25,sK24) ),
    inference(resolution,[],[f6377,f6116]) ).

fof(f13487,plain,
    ( ! [X0] :
        ( ~ para(X0,X0,sK21,sK23)
        | eqangle(X0,sK20,sK22,sK20,sK22,sK20,sK22,X0) )
    | ~ spl28_1 ),
    inference(resolution,[],[f12413,f1527]) ).

fof(f15868,plain,
    ! [X0,X1] :
      ( ~ para(X1,X0,sK20,sK22)
      | para(X0,X1,sK21,sK23) ),
    inference(resolution,[],[f6308,f391]) ).

fof(f15919,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ cyclic(X0,X1,X2,X3)
        | ~ cyclic(X0,X1,X2,X4)
        | cong(X0,X1,X3,X4)
        | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
    | ~ spl28_1 ),
    inference(resolution,[],[f314,f12415]) ).

fof(f15920,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ cyclic(X0,X1,X2,X3)
        | cong(X0,X1,X3,X4)
        | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
    | ~ spl28_1 ),
    inference(forward_subsumption_resolution,[],[f15919,f12415]) ).

fof(f15923,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
        | cong(X0,X1,X3,X4) )
    | ~ spl28_1 ),
    inference(forward_subsumption_resolution,[],[f15920,f12415]) ).

fof(f16388,plain,
    ( ! [X0,X1] : cong(X0,X1,X0,X1)
    | ~ spl28_1 ),
    inference(resolution,[],[f15923,f12420]) ).

fof(f16393,plain,
    ( ! [X2,X0,X1] :
        ( ~ cong(X0,X1,X0,X1)
        | perp(X0,X0,X1,X2) )
    | ~ spl28_1 ),
    inference(resolution,[],[f16388,f327]) ).

fof(f16398,plain,
    ( ! [X0,X1] : eqangle(X0,X1,X1,X1,X1,X1,X0,X1)
    | ~ spl28_1 ),
    inference(resolution,[],[f16388,f317]) ).

fof(f16402,plain,
    ( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
    | ~ spl28_1 ),
    inference(forward_subsumption_resolution,[],[f16393,f16388]) ).

fof(f16459,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ perp(X0,X1,X2,X2)
        | para(X0,X1,X3,X4) )
    | ~ spl28_1 ),
    inference(resolution,[],[f16402,f279]) ).

fof(f16520,plain,
    ( ! [X0,X1] :
        ( para(X0,X1,X1,X1)
        | perp(X0,X1,X1,X1) )
    | ~ spl28_1 ),
    inference(resolution,[],[f16398,f343]) ).

fof(f16527,plain,
    ( ! [X0,X1] : para(X0,X1,X1,X1)
    | ~ spl28_1 ),
    inference(forward_subsumption_resolution,[],[f16520,f16459]) ).

fof(f16556,plain,
    ( ! [X2,X0,X1] : para(X0,X1,X0,X2)
    | ~ spl28_1 ),
    inference(resolution,[],[f16527,f12751]) ).

fof(f16559,plain,
    ( ! [X2,X0,X1] : para(X0,X1,X2,X0)
    | ~ spl28_1 ),
    inference(resolution,[],[f16527,f12541]) ).

fof(f16610,plain,
    ( ! [X0] : para(X0,sK22,sK21,sK23)
    | ~ spl28_1 ),
    inference(resolution,[],[f16559,f15868]) ).

fof(f16801,plain,
    ( eqangle(sK22,sK20,sK22,sK20,sK22,sK20,sK22,sK22)
    | ~ spl28_1 ),
    inference(resolution,[],[f16610,f13487]) ).

fof(f19569,plain,
    ( cong(sK20,sK20,sK20,sK22)
    | ~ spl28_1 ),
    inference(resolution,[],[f16801,f15923]) ).

fof(f19578,plain,
    ( midp(sK20,sK20,sK22)
    | ~ coll(sK20,sK20,sK22)
    | ~ spl28_1 ),
    inference(resolution,[],[f19569,f338]) ).

fof(f19580,plain,
    ( midp(sK20,sK20,sK22)
    | ~ spl28_1 ),
    inference(forward_subsumption_resolution,[],[f19578,f2502]) ).

fof(f19581,plain,
    ( midp(sK20,sK22,sK20)
    | ~ spl28_1 ),
    inference(resolution,[],[f19580,f281]) ).

fof(f19613,plain,
    ( ! [X0,X1] :
        ( midp(X0,sK22,X1)
        | ~ para(sK20,X0,sK20,X1)
        | ~ coll(X0,sK22,X1) )
    | ~ spl28_1 ),
    inference(resolution,[],[f19581,f316]) ).

fof(f19642,plain,
    ( ! [X0,X1] :
        ( midp(X0,sK22,X1)
        | ~ coll(X0,sK22,X1) )
    | ~ spl28_1 ),
    inference(forward_subsumption_resolution,[],[f19613,f16556]) ).

fof(f19646,plain,
    ( ! [X0,X1] : midp(X0,sK22,X1)
    | ~ spl28_1 ),
    inference(forward_subsumption_resolution,[],[f19642,f7515]) ).

fof(f19650,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ midp(X0,sK22,X1)
        | para(X0,X2,X1,X3) )
    | ~ spl28_1 ),
    inference(resolution,[],[f19646,f315]) ).

fof(f19677,plain,
    ( ! [X2,X3,X0,X1] : para(X0,X2,X1,X3)
    | ~ spl28_1 ),
    inference(forward_subsumption_resolution,[],[f19650,f19646]) ).

fof(f19888,plain,
    ( $false
    | ~ spl28_1 ),
    inference(resolution,[],[f19677,f393]) ).

fof(f19889,plain,
    ~ spl28_1,
    inference(avatar_contradiction_clause,[],[f19888]) ).

fof(f19893,plain,
    ! [X0] : cyclic(X0,sK24,sK25,sK25),
    inference(forward_subsumption_resolution,[],[f13348,f2216]) ).

fof(f20052,plain,
    ! [X0] : eqangle(sK25,X0,sK25,sK24,sK25,X0,sK25,sK24),
    inference(resolution,[],[f19893,f311]) ).

fof(f22458,plain,
    ! [X0] : para(sK25,X0,sK25,X0),
    inference(resolution,[],[f20052,f309]) ).

fof(f22470,plain,
    ( $false
    | ~ spl28_2 ),
    inference(forward_subsumption_resolution,[],[f22458,f6385]) ).

fof(f22471,plain,
    ~ spl28_2,
    inference(avatar_contradiction_clause,[],[f22470]) ).

cnf(s1,plain,
    ( spl28_1
    | spl28_2 ),
    inference(sat_conversion,[],[f6386]) ).

cnf(s2,plain,
    ~ spl28_1,
    inference(sat_conversion,[],[f19889]) ).

cnf(s125,plain,
    ~ spl28_2,
    inference(sat_conversion,[],[f22471]) ).

cnf(s126,plain,
    $false,
    inference(rat,[],[s1,s125,s2]) ).

fof(f22472,plain,
    $false,
    inference(avatar_sat_refutation,[],[s126]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO653+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41  % Computer : n001.cluster.edu
% 0.12/0.41  % Model    : x86_64 x86_64
% 0.12/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41  % Memory   : 8046.5625MB
% 0.12/0.41  % OS       : Linux 6.8.0-71-generic
% 0.12/0.41  % CPULimit : 300
% 0.12/0.41  % WCLimit  : 300
% 0.12/0.41  % DateTime : Sun Sep 27 08:50:01 UTC 2026
% 0.12/0.41  % CPUTime  : 
% 0.12/0.41  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44  Running first-order model finding
% 0.12/0.44  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
% 6.62/1.46  % (3254486)Will run a generic schedule for satisfiability detection.
% 6.62/1.46  % (3254496)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4201000472:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.62/1.46  % (3254492)% WARNING: option uhcvi not known.
% 6.62/1.46  % (3254492)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2820924809:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.62/1.46  % (3254491)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1351774193_2999 on theBenchmark for (2999ds/0Mi)
% 6.62/1.46  % (3254493)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=337684455:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.62/1.46  % (3254494)dis+10_1_sil=32000:sp=arity:random_seed=3097304813:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.62/1.46  % (3254495)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=537968495:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.62/1.46  % (3254497)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1560066975:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.62/1.46  % TRYING [1]
% 6.62/1.46  % TRYING [2]
% 6.62/1.46  % TRYING [3]
% 6.62/1.46  % (3254496)Instruction limit reached! 
% 6.62/1.46  % (3254496)------------------------------
% 6.62/1.46  % (3254496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.62/1.46  % (3254496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.46  % (3254496)CaDiCaL version: 2.1.3
% 6.62/1.46  % (3254496)Termination reason: Instruction limit
% 6.62/1.46  % (3254496)Termination phase: Saturation
% 6.62/1.46  % (3254496)Time elapsed: 0.047 s
% 6.62/1.46  % (3254496)Peak memory usage: 14 MB
% 6.62/1.46  % (3254496)Instructions burned: 132 (million)
% 6.62/1.46  % (3254505)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3550783925:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.62/1.46  % TRYING [1]
% 6.62/1.46  % TRYING [2]
% 6.62/1.46  % (3254494)Instruction limit reached! 
% 6.62/1.46  % (3254494)------------------------------
% 6.62/1.46  % (3254494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.62/1.46  % (3254494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.46  % (3254494)CaDiCaL version: 2.1.3
% 6.62/1.46  % (3254494)Termination reason: Instruction limit
% 6.62/1.46  % (3254494)Termination phase: Saturation
% 6.62/1.46  % (3254494)Time elapsed: 0.066 s
% 6.62/1.46  % (3254494)Peak memory usage: 13 MB
% 6.62/1.46  % (3254494)Instructions burned: 103 (million)
% 6.62/1.46  % (3254495)Instruction limit reached! 
% 6.62/1.46  % (3254495)------------------------------
% 6.62/1.46  % (3254495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.62/1.46  % (3254495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.46  % (3254495)CaDiCaL version: 2.1.3
% 6.62/1.46  % (3254495)Termination reason: Instruction limit
% 6.62/1.46  % (3254495)Termination phase: Saturation
% 6.62/1.46  % (3254495)Time elapsed: 0.070 s
% 6.62/1.46  % (3254495)Peak memory usage: 13 MB
% 6.62/1.46  % (3254495)Instructions burned: 118 (million)
% 6.62/1.46  % TRYING [3]
% 6.62/1.46  % (3254507)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2390148564:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.62/1.46  % (3254508)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=465799862:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.62/1.46  % (3254497)Instruction limit reached! 
% 6.62/1.46  % (3254497)------------------------------
% 6.62/1.46  % (3254497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.62/1.46  % (3254497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.46  % (3254497)CaDiCaL version: 2.1.3
% 6.62/1.46  % (3254497)Termination reason: Instruction limit
% 6.62/1.46  % (3254497)Termination phase: Saturation
% 6.62/1.46  % (3254497)Time elapsed: 0.097 s
% 6.62/1.46  % (3254497)Peak memory usage: 13 MB
% 6.62/1.46  % (3254497)Instructions burned: 160 (million)
% 6.62/1.46  % (3254511)ott-21_1_sil=16000:fs=off:random_seed=3206758871:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.62/1.46  % (3254507)Instruction limit reached! 
% 6.62/1.46  % (3254507)------------------------------
% 6.62/1.46  % (3254507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.62/1.46  % (3254507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.78  % (3254507)CaDiCaL version: 2.1.3
% 8.08/1.78  % (3254507)Termination reason: Instruction limit
% 8.08/1.78  % (3254507)Termination phase: Saturation
% 8.08/1.78  % (3254507)Time elapsed: 0.081 s
% 8.08/1.78  % (3254507)Peak memory usage: 14 MB
% 8.08/1.78  % (3254507)Instructions burned: 132 (million)
% 8.08/1.78  % (3254505)Instruction limit reached! 
% 8.08/1.78  % (3254505)------------------------------
% 8.08/1.78  % (3254505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.78  % (3254505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.78  % (3254505)CaDiCaL version: 2.1.3
% 8.08/1.78  % (3254505)Termination reason: Instruction limit
% 8.08/1.78  % (3254505)Termination phase: Finite model building constraint generation
% 8.08/1.78  % (3254505)Time elapsed: 0.134 s
% 8.08/1.78  % (3254505)Peak memory usage: 24 MB
% 8.08/1.78  % (3254505)Instructions burned: 720 (million)
% 8.08/1.78  % (3254513)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3740613557:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.08/1.78  % (3254515)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1034875601:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.08/1.78  % TRYING [1]
% 8.08/1.78  % TRYING [2]
% 8.08/1.78  % (3254511)Instruction limit reached! 
% 8.08/1.78  % (3254511)------------------------------
% 8.08/1.78  % (3254511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.78  % (3254511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.78  % (3254511)CaDiCaL version: 2.1.3
% 8.08/1.78  % (3254511)Termination reason: Instruction limit
% 8.08/1.78  % (3254511)Termination phase: Saturation
% 8.08/1.78  % (3254511)Time elapsed: 0.095 s
% 8.08/1.78  % (3254511)Peak memory usage: 13 MB
% 8.08/1.78  % (3254511)Instructions burned: 181 (million)
% 8.08/1.78  % (3254517)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1593770885:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 8.08/1.78  % TRYING [3]
% 8.08/1.78  % (3254515)Instruction limit reached! 
% 8.08/1.78  % (3254515)------------------------------
% 8.08/1.78  % (3254515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.78  % (3254515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.78  % (3254515)CaDiCaL version: 2.1.3
% 8.08/1.78  % (3254515)Termination reason: Instruction limit
% 8.08/1.78  % (3254515)Termination phase: Finite model building constraint generation
% 8.08/1.78  % (3254515)Time elapsed: 0.164 s
% 8.08/1.78  % (3254515)Peak memory usage: 51 MB
% 8.08/1.78  % (3254515)Instructions burned: 870 (million)
% 8.08/1.78  % (3254519)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3977803752:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 8.08/1.78  % (3254519)Cannot represent all propositional literals internally
% 8.08/1.78  % (3254519)Refutation not found, incomplete strategy
% 8.08/1.78  % (3254519)------------------------------
% 8.08/1.78  % (3254519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.78  % (3254519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.78  % (3254519)CaDiCaL version: 2.1.3
% 8.08/1.78  % (3254519)Termination reason: Refutation not found, incomplete strategy
% 8.08/1.78  % (3254519)Time elapsed: 0.003 s
% 8.08/1.78  % (3254519)Peak memory usage: 10 MB
% 8.08/1.78  % (3254519)Instructions burned: 13 (million)
% 8.08/1.78  % (3254519)------------------------------
% 8.08/1.78  % (3254519)------------------------------
% 8.08/1.78  % (3254521)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=1800827521: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)
% 8.08/1.78  % (3254513)Instruction limit reached! 
% 8.08/1.78  % (3254513)------------------------------
% 8.08/1.78  % (3254513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.78  % (3254513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.78  % (3254513)CaDiCaL version: 2.1.3
% 8.08/1.78  % (3254513)Termination reason: Instruction limit
% 8.08/1.78  % (3254513)Termination phase: Saturation
% 8.08/1.78  % (3254513)Time elapsed: 0.271 s
% 8.08/1.78  % (3254513)Peak memory usage: 15 MB
% 8.08/1.78  % (3254513)Instructions burned: 477 (million)
% 8.08/1.78  % (3254523)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1485655908:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 8.08/1.78  % (3254508)Instruction limit reached! 
% 8.08/1.78  % (3254508)------------------------------
% 8.08/1.78  % (3254508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.78  % (3254508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.78  % (3254508)CaDiCaL version: 2.1.3
% 8.08/1.78  % (3254508)Termination reason: Instruction limit
% 8.08/1.78  % (3254508)Termination phase: Saturation
% 8.08/1.78  % (3254508)Time elapsed: 0.399 s
% 8.08/1.78  % (3254508)Peak memory usage: 22 MB
% 8.08/1.78  % (3254508)Instructions burned: 684 (million)
% 8.08/1.78  % (3254525)fmb+10_1_sil=64000:random_seed=256054881:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 8.08/1.78  % TRYING [1]
% 8.08/1.78  % TRYING [2]
% 8.08/1.78  % TRYING [3]
% 8.08/1.78  % (3254521)Instruction limit reached! 
% 8.08/1.78  % (3254521)------------------------------
% 8.08/1.78  % (3254521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.78  % (3254521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.78  % (3254521)CaDiCaL version: 2.1.3
% 8.08/1.78  % (3254521)Termination reason: Instruction limit
% 8.08/1.78  % (3254521)Termination phase: Saturation
% 8.08/1.78  % (3254521)Time elapsed: 0.218 s
% 8.08/1.78  % (3254521)Peak memory usage: 18 MB
% 8.08/1.78  % (3254521)Instructions burned: 694 (million)
% 8.08/1.78  % (3254527)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2597308266:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 8.08/1.78  % (3254527)Cannot represent all propositional literals internally
% 8.08/1.78  % (3254527)Refutation not found, incomplete strategy
% 8.08/1.78  % (3254527)------------------------------
% 8.08/1.78  % (3254527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.78  % (3254527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.78  % (3254527)CaDiCaL version: 2.1.3
% 8.08/1.78  % (3254527)Termination reason: Refutation not found, incomplete strategy
% 8.08/1.78  % (3254527)Time elapsed: 0.003 s
% 8.08/1.78  % (3254527)Peak memory usage: 10 MB
% 8.08/1.78  % (3254527)Instructions burned: 13 (million)
% 8.08/1.78  % (3254527)------------------------------
% 8.08/1.78  % (3254527)------------------------------
% 8.08/1.78  % (3254529)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3573404634:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 8.08/1.78  % TRYING [8]
% 8.08/1.78  % (3254529)Instruction limit reached! 
% 8.08/1.78  % (3254529)------------------------------
% 8.08/1.78  % (3254529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.78  % (3254529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.78  % (3254529)CaDiCaL version: 2.1.3
% 8.08/1.78  % (3254529)Termination reason: Instruction limit
% 8.08/1.78  % (3254529)Termination phase: Finite model building constraint generation
% 8.08/1.78  % (3254529)Time elapsed: 0.152 s
% 8.08/1.78  % (3254529)Peak memory usage: 45 MB
% 8.08/1.78  % (3254529)Instructions burned: 921 (million)
% 8.08/1.78  % (3254531)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=237154197:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 8.08/1.78  % (3254517)Instruction limit reached! 
% 8.08/1.78  % (3254517)------------------------------
% 8.08/1.78  % (3254517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.78  % (3254517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.78  % (3254517)CaDiCaL version: 2.1.3
% 8.08/1.78  % (3254517)Termination reason: Instruction limit
% 8.08/1.78  % (3254517)Termination phase: Saturation
% 8.08/1.78  % (3254517)Time elapsed: 0.726 s
% 8.08/1.78  % (3254517)Peak memory usage: 24 MB
% 8.08/1.78  % (3254517)Instructions burned: 1180 (million)
% 8.08/1.78  % (3254523)Instruction limit reached! 
% 8.08/1.78  % (3254523)------------------------------
% 8.08/1.78  % (3254523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.78  % (3254523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.78  % (3254523)CaDiCaL version: 2.1.3
% 8.08/1.78  % (3254523)Termination reason: Instruction limit
% 8.08/1.78  % (3254523)Termination phase: Saturation
% 8.08/1.78  % (3254523)Time elapsed: 0.481 s
% 8.08/1.78  % (3254523)Peak memory usage: 18 MB
% 8.08/1.78  % (3254523)Instructions burned: 879 (million)
% 8.08/1.78  % (3254533)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2429035393:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 8.08/1.78  % (3254534)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=970962171:i=6324_2990 on theBenchmark for (2990ds/6324Mi)
% 8.08/1.78  % (3254534)Cannot represent all propositional literals internally
% 8.08/1.78  % (3254534)Refutation not found, incomplete strategy
% 8.08/1.78  % (3254534)------------------------------
% 8.08/1.78  % (3254534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.78  % (3254534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.78  % (3254534)CaDiCaL version: 2.1.3
% 8.08/1.78  % (3254534)Termination reason: Refutation not found, incomplete strategy
% 8.08/1.78  % (3254534)Time elapsed: 0.008 s
% 8.08/1.78  % (3254534)Peak memory usage: 11 MB
% 8.08/1.78  % (3254534)Instructions burned: 15 (million)
% 8.08/1.78  % (3254534)------------------------------
% 8.08/1.78  % (3254534)------------------------------
% 8.08/1.78  % (3254537)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4112343400:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 8.08/1.78  % (3254537)Cannot represent all propositional literals internally
% 8.08/1.78  % (3254537)Refutation not found, incomplete strategy
% 8.08/1.78  % (3254537)------------------------------
% 8.08/1.78  % (3254537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.78  % (3254537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.78  % (3254537)CaDiCaL version: 2.1.3
% 8.08/1.78  % (3254537)Termination reason: Refutation not found, incomplete strategy
% 8.08/1.78  % (3254537)Time elapsed: 0.082 s
% 8.08/1.78  % (3254537)Peak memory usage: 12 MB
% 8.08/1.78  % (3254537)Instructions burned: 166 (million)
% 8.08/1.78  % (3254537)------------------------------
% 8.08/1.78  % (3254537)------------------------------
% 8.08/1.78  % (3254539)ott-2_1_sil=16000:newcnf=on:random_seed=136342621:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 8.08/1.78  % (3254533) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3254486-3254533"...
% 8.08/1.78  % (3254533)...printing done.
% 8.08/1.78  % (3254533)Refutation found. Thanks to Tanya!
% 8.08/1.78  % SZS status Theorem for theBenchmark
% 8.08/1.78  % SZS output start Proof for theBenchmark
% See solution above
% 8.08/1.79  % (3254533)------------------------------
% 8.08/1.79  % (3254533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.08/1.79  % (3254533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.79  % (3254533)CaDiCaL version: 2.1.3
% 8.08/1.79  % (3254533)Termination reason: Refutation
% 8.08/1.79  % (3254533)Time elapsed: 0.292 s
% 8.08/1.79  % (3254533)Peak memory usage: 17 MB
% 8.08/1.79  % (3254533)Instructions burned: 515 (million)
% 8.08/1.79  % (3254486)Success in time 1.333 s
% 8.08/1.79  % Vampire exiting
%------------------------------------------------------------------------------