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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO591+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 : n020.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 09:54:48 AM UTC 2026

% Result   : Theorem 10.98s 3.33s
% Output   : Refutation 10.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  191 (  36 unt;   0 def)
%            Number of atoms       :  483 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  500 ( 208   ~; 204   |;  56   &)
%                                         (   0 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-5 aty)
%            Number of variables   :  757 ( 733   !;  24   ?)

% 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(f7,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).

fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).

fof(f9,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perp(X0,X1,X2,X3)
        & perp(X2,X3,X4,X5) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

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

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(f20,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).

fof(f21,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

fof(f23,axiom,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X2,X3)
     => cong(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).

fof(f25,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( cong(X0,X1,X2,X3)
        & cong(X2,X3,X4,X5) )
     => cong(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).

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(f52,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( circle(X3,X0,X1,X2)
        & coll(X4,X1,X2)
        & eqangle(X0,X1,X0,X2,X3,X1,X3,X4) )
     => midp(X4,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD51) ).

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(f65,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X4,X0,X1)
        & para(X0,X2,X1,X3)
        & para(X0,X3,X1,X2) )
     => midp(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

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(f69,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => cong(X0,X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).

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(f75,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
        & perp(X4,X5,X6,X7) )
     => perp(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).

fof(f90,axiom,
    ! [X0,X1,X2,X3] :
    ? [X4] :
      ( ( perp(X0,X2,X2,X1)
        & cyclic(X0,X1,X2,X3) )
     => circle(X4,X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX14) ).

fof(f91,axiom,
    ! [X0,X1,X2,X3,X4] :
    ? [X5] :
      ( ( perp(X0,X2,X2,X1)
        & coll(X1,X3,X4) )
     => ( coll(X5,X3,X4)
        & perp(X5,X0,X3,X4) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ( circle(X0,X1,X6,X7)
        & circle(X0,X1,X2,X8)
        & perp(X0,X2,X2,X4)
        & perp(X0,X1,X1,X5)
        & coll(X3,X1,X2)
        & perp(X0,X3,X3,X4)
        & coll(X5,X3,X4) )
     => cong(X0,X4,X0,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416053) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
        ( ( circle(X0,X1,X6,X7)
          & circle(X0,X1,X2,X8)
          & perp(X0,X2,X2,X4)
          & perp(X0,X1,X1,X5)
          & coll(X3,X1,X2)
          & perp(X0,X3,X3,X4)
          & coll(X5,X3,X4) )
       => cong(X0,X4,X0,X5) ),
    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(f106,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X3,X2)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f7]) ).

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

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

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

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

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

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

fof(f128,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X3,X2)
      | ~ cong(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f130,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X4,X5)
      | ~ cong(X0,X1,X2,X3)
      | ~ cong(X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f131,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X4,X5)
      | ~ cong(X0,X1,X2,X3)
      | ~ cong(X2,X3,X4,X5) ),
    inference(flattening,[],[f130]) ).

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(f170,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X1,X2)
      | ~ circle(X3,X0,X1,X2)
      | ~ coll(X4,X1,X2)
      | ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f171,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X1,X2)
      | ~ circle(X3,X0,X1,X2)
      | ~ coll(X4,X1,X2)
      | ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
    inference(flattening,[],[f170]) ).

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(f193,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X2,X3)
      | ~ midp(X4,X0,X1)
      | ~ para(X0,X2,X1,X3)
      | ~ para(X0,X3,X1,X2) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f194,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X2,X3)
      | ~ midp(X4,X0,X1)
      | ~ para(X0,X2,X1,X3)
      | ~ para(X0,X3,X1,X2) ),
    inference(flattening,[],[f193]) ).

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(f200,plain,
    ! [X0,X1,X2] :
      ( cong(X0,X1,X0,X2)
      | ~ midp(X0,X1,X2) ),
    inference(ennf_transformation,[],[f69]) ).

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(f210,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( perp(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | ~ perp(X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f211,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( perp(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | ~ perp(X4,X5,X6,X7) ),
    inference(flattening,[],[f210]) ).

fof(f239,plain,
    ! [X0,X1,X2,X3] :
    ? [X4] :
      ( circle(X4,X0,X1,X2)
      | ~ perp(X0,X2,X2,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f90]) ).

fof(f240,plain,
    ! [X0,X1,X2,X3] :
    ? [X4] :
      ( circle(X4,X0,X1,X2)
      | ~ perp(X0,X2,X2,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(flattening,[],[f239]) ).

fof(f241,plain,
    ! [X0,X1,X2,X3,X4] :
    ? [X5] :
      ( ( coll(X5,X3,X4)
        & perp(X5,X0,X3,X4) )
      | ~ perp(X0,X2,X2,X1)
      | ~ coll(X1,X3,X4) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f242,plain,
    ! [X0,X1,X2,X3,X4] :
    ? [X5] :
      ( ( coll(X5,X3,X4)
        & perp(X5,X0,X3,X4) )
      | ~ perp(X0,X2,X2,X1)
      | ~ coll(X1,X3,X4) ),
    inference(flattening,[],[f241]) ).

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

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

fof(f265,plain,
    ! [X0,X1,X2,X3] :
      ( circle(sK15(X0,X1,X2,X3),X0,X1,X2)
      | ~ perp(X0,X2,X2,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X4,sK15(X0,X1,X2,X3))],[f240]) ).

fof(f266,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( coll(sK16(X0,X1,X2,X3,X4),X3,X4)
        & perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4) )
      | ~ perp(X0,X2,X2,X1)
      | ~ coll(X1,X3,X4) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X5,sK16(X0,X1,X2,X3,X4))],[f242]) ).

fof(f270,plain,
    ( ~ cong(sK20,sK24,sK20,sK25)
    & circle(sK20,sK21,sK26,sK27)
    & circle(sK20,sK21,sK22,sK28)
    & perp(sK20,sK22,sK22,sK24)
    & perp(sK20,sK21,sK21,sK25)
    & coll(sK23,sK21,sK22)
    & perp(sK20,sK23,sK23,sK24)
    & coll(sK25,sK23,sK24) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28)],[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(f277,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f278,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f279,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f109]) ).

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

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(f290,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f291,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f293,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X1,X2,X3)
      | cong(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f295,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ cong(X2,X3,X4,X5)
      | ~ cong(X0,X1,X2,X3)
      | cong(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f131]) ).

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(f322,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
      | ~ circle(X3,X0,X1,X2)
      | ~ coll(X4,X1,X2)
      | midp(X4,X1,X2) ),
    inference(cnf_transformation,[],[f171]) ).

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(f335,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ para(X0,X3,X1,X2)
      | ~ midp(X4,X0,X1)
      | ~ para(X0,X2,X1,X3)
      | midp(X4,X2,X3) ),
    inference(cnf_transformation,[],[f194]) ).

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(f339,plain,
    ! [X2,X0,X1] :
      ( cong(X0,X1,X0,X2)
      | ~ midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f200]) ).

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(f345,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | perp(X0,X1,X2,X3)
      | ~ perp(X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f211]) ).

fof(f376,plain,
    ! [X2,X3,X0,X1] :
      ( circle(sK15(X0,X1,X2,X3),X0,X1,X2)
      | ~ perp(X0,X2,X2,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f265]) ).

fof(f377,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ perp(X0,X2,X2,X1)
      | perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
      | ~ coll(X1,X3,X4) ),
    inference(cnf_transformation,[],[f266]) ).

fof(f387,plain,
    perp(sK20,sK21,sK21,sK25),
    inference(cnf_transformation,[],[f270]) ).

fof(f391,plain,
    ~ cong(sK20,sK24,sK20,sK25),
    inference(cnf_transformation,[],[f270]) ).

fof(f410,plain,
    perp(sK20,sK21,sK25,sK21),
    inference(resolution,[],[f277,f387]) ).

fof(f415,plain,
    perp(sK21,sK25,sK20,sK21),
    inference(resolution,[],[f278,f387]) ).

fof(f425,plain,
    ! [X2,X0,X1] :
      ( cong(X0,X1,X2,X0)
      | ~ midp(X0,X1,X2) ),
    inference(resolution,[],[f293,f339]) ).

fof(f426,plain,
    perp(sK25,sK21,sK20,sK21),
    inference(resolution,[],[f410,f278]) ).

fof(f526,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK20,sK21)
      | para(X0,X1,sK21,sK25) ),
    inference(resolution,[],[f279,f387]) ).

fof(f584,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cong(X0,X1,X2,X3)
      | cong(X0,X1,X2,X4)
      | ~ midp(X2,X3,X4) ),
    inference(resolution,[],[f295,f339]) ).

fof(f588,plain,
    ! [X2,X0,X1] :
      ( ~ cong(X0,X1,X0,X1)
      | perp(X0,X0,X1,X2)
      | ~ midp(X0,X2,X2) ),
    inference(resolution,[],[f327,f339]) ).

fof(f619,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(f627,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
      | ~ para(X4,X5,X0,X1) ),
    inference(resolution,[],[f290,f310]) ).

fof(f634,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(f857,plain,
    ! [X0,X1] :
      ( perp(sK16(sK20,sK25,sK21,X0,X1),sK20,X0,X1)
      | ~ coll(sK25,X0,X1) ),
    inference(resolution,[],[f377,f387]) ).

fof(f1087,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(f1093,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,[],[f1087]) ).

fof(f1237,plain,
    para(sK21,sK25,sK21,sK25),
    inference(resolution,[],[f526,f415]) ).

fof(f1238,plain,
    para(sK25,sK21,sK21,sK25),
    inference(resolution,[],[f526,f426]) ).

fof(f1335,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X2,X3,sK16(sK20,sK25,sK21,X0,X1),sK20)
      | ~ coll(sK25,X0,X1)
      | para(X2,X3,X0,X1) ),
    inference(resolution,[],[f857,f279]) ).

fof(f1554,plain,
    ! [X2,X3,X0,X1] :
      ( cong(X0,X1,X2,X3)
      | ~ midp(X2,X0,X3)
      | ~ midp(X0,X1,X2) ),
    inference(resolution,[],[f584,f425]) ).

fof(f1565,plain,
    coll(sK21,sK25,sK25),
    inference(resolution,[],[f1237,f337]) ).

fof(f1573,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X2,X2)
      | perp(X0,X0,X1,X2)
      | ~ midp(X0,X1,X1) ),
    inference(resolution,[],[f588,f339]) ).

fof(f1576,plain,
    coll(sK25,sK21,sK25),
    inference(resolution,[],[f1565,f272]) ).

fof(f1601,plain,
    ! [X0] :
      ( ~ coll(sK25,sK21,X0)
      | coll(X0,sK25,sK25) ),
    inference(resolution,[],[f1576,f273]) ).

fof(f1664,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | para(X2,X3,X2,X3) ),
    inference(resolution,[],[f619,f309]) ).

fof(f1721,plain,
    para(sK25,sK21,sK25,sK21),
    inference(resolution,[],[f1238,f274]) ).

fof(f1759,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X0,X1,X4,X5)
      | para(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f627,f344]) ).

fof(f1760,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X0,X1,X4,X5)
      | perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f627,f345]) ).

fof(f1853,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | ~ coll(X0,X2,X1) ),
    inference(resolution,[],[f634,f313]) ).

fof(f1854,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | coll(X0,X2,X1) ),
    inference(resolution,[],[f634,f312]) ).

fof(f1856,plain,
    ! [X2,X3,X0,X1] :
      ( ~ circle(X3,X0,X1,X2)
      | ~ para(X0,X1,X0,X2)
      | ~ coll(X1,X1,X2)
      | midp(X1,X1,X2) ),
    inference(resolution,[],[f634,f322]) ).

fof(f1864,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2) ),
    inference(forward_subsumption_resolution,[],[f1853,f1854]) ).

fof(f2177,plain,
    coll(sK25,sK25,sK25),
    inference(resolution,[],[f1601,f1576]) ).

fof(f15145,plain,
    ! [X0,X1] : para(X0,X1,X0,X1),
    inference(resolution,[],[f1664,f1721]) ).

fof(f15148,plain,
    ! [X0,X1] : coll(X0,X1,X1),
    inference(resolution,[],[f15145,f337]) ).

fof(f15153,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X1,X1)
      | ~ para(X1,X2,X1,X2)
      | midp(X0,X2,X2) ),
    inference(resolution,[],[f15145,f335]) ).

fof(f15192,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X1,X1)
      | midp(X0,X2,X2) ),
    inference(forward_subsumption_resolution,[],[f15153,f15145]) ).

fof(f15213,plain,
    ! [X0,X1] : coll(X0,X1,X0),
    inference(resolution,[],[f15148,f272]) ).

fof(f15496,plain,
    ! [X0,X1] : coll(X0,X0,X1),
    inference(resolution,[],[f15213,f271]) ).

fof(f15728,plain,
    ! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
    inference(resolution,[],[f1864,f15145]) ).

fof(f15737,plain,
    ! [X0] : cyclic(sK25,sK25,sK21,X0),
    inference(resolution,[],[f1864,f1237]) ).

fof(f15748,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X0,X1)
      | coll(X1,X2,X0) ),
    inference(resolution,[],[f15496,f273]) ).

fof(f15793,plain,
    ! [X2,X0,X1] : coll(X1,X2,X0),
    inference(forward_subsumption_resolution,[],[f15748,f15496]) ).

fof(f17422,plain,
    ( ~ midp(sK20,sK24,sK20)
    | ~ midp(sK20,sK20,sK25) ),
    inference(resolution,[],[f1554,f391]) ).

fof(f19152,plain,
    ! [X0,X1] :
      ( ~ cyclic(sK25,sK25,sK21,X0)
      | cyclic(sK25,sK21,X0,X1) ),
    inference(resolution,[],[f15737,f287]) ).

fof(f19161,plain,
    ( ~ cyclic(sK25,sK25,sK21,sK25)
    | ~ cyclic(sK25,sK25,sK21,sK25)
    | cong(sK25,sK25,sK25,sK25) ),
    inference(resolution,[],[f15737,f1093]) ).

fof(f19167,plain,
    ( ~ cyclic(sK25,sK25,sK21,sK25)
    | cong(sK25,sK25,sK25,sK25) ),
    inference(duplicate_literal_removal,[],[f19161]) ).

fof(f19168,plain,
    cong(sK25,sK25,sK25,sK25),
    inference(forward_subsumption_resolution,[],[f19167,f15728]) ).

fof(f19172,plain,
    ! [X0,X1] : cyclic(sK25,sK21,X0,X1),
    inference(forward_subsumption_resolution,[],[f19152,f15728]) ).

fof(f19550,plain,
    ( midp(sK25,sK25,sK25)
    | ~ coll(sK25,sK25,sK25) ),
    inference(resolution,[],[f19168,f338]) ).

fof(f19581,plain,
    midp(sK25,sK25,sK25),
    inference(forward_subsumption_resolution,[],[f19550,f2177]) ).

fof(f19964,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(sK25,sK21,X0,X1)
      | cyclic(sK21,X0,X1,X2) ),
    inference(resolution,[],[f19172,f287]) ).

fof(f19986,plain,
    ! [X2,X0,X1] : cyclic(sK21,X0,X1,X2),
    inference(forward_subsumption_resolution,[],[f19964,f19172]) ).

fof(f23580,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(sK21,X0,X1,X2)
      | cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f19986,f287]) ).

fof(f23611,plain,
    ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
    inference(forward_subsumption_resolution,[],[f23580,f19986]) ).

fof(f24589,plain,
    ! [X0,X1] :
      ( ~ cyclic(X0,X0,X1,X0)
      | ~ cyclic(X0,X0,X1,X0)
      | cong(X0,X0,X0,X0) ),
    inference(resolution,[],[f15728,f1093]) ).

fof(f24606,plain,
    ! [X0,X1] :
      ( ~ cyclic(X0,X0,X1,X0)
      | cong(X0,X0,X0,X0) ),
    inference(duplicate_literal_removal,[],[f24589]) ).

fof(f24609,plain,
    ! [X0] : cong(X0,X0,X0,X0),
    inference(forward_subsumption_resolution,[],[f24606,f23611]) ).

fof(f25380,plain,
    ! [X0] :
      ( midp(X0,X0,X0)
      | ~ coll(X0,X0,X0) ),
    inference(resolution,[],[f24609,f338]) ).

fof(f25421,plain,
    ! [X0] : midp(X0,X0,X0),
    inference(forward_subsumption_resolution,[],[f25380,f15148]) ).

fof(f27117,plain,
    ! [X0,X1] : midp(X0,X1,X1),
    inference(resolution,[],[f15192,f25421]) ).

fof(f27158,plain,
    ! [X0] : midp(sK25,X0,X0),
    inference(resolution,[],[f15192,f19581]) ).

fof(f27236,plain,
    ! [X0,X1] :
      ( perp(sK25,sK25,X0,X1)
      | ~ midp(sK25,X0,X0) ),
    inference(resolution,[],[f27158,f1573]) ).

fof(f27249,plain,
    ! [X0,X1] : perp(sK25,sK25,X0,X1),
    inference(forward_subsumption_resolution,[],[f27236,f27158]) ).

fof(f27825,plain,
    ! [X2,X0,X1] :
      ( perp(X0,X0,X1,X2)
      | ~ midp(X0,X1,X1) ),
    inference(resolution,[],[f27117,f1573]) ).

fof(f27852,plain,
    ! [X2,X0,X1] : perp(X0,X0,X1,X2),
    inference(forward_subsumption_resolution,[],[f27825,f27117]) ).

fof(f28124,plain,
    ! [X0,X1] :
      ( ~ coll(sK25,X0,X1)
      | para(sK25,sK25,X0,X1) ),
    inference(resolution,[],[f27249,f1335]) ).

fof(f28138,plain,
    ! [X0,X1] : para(sK25,sK25,X0,X1),
    inference(forward_subsumption_resolution,[],[f28124,f15793]) ).

fof(f29014,plain,
    ! [X2,X3,X0,X1] :
      ( para(X0,X1,X2,X3)
      | ~ para(sK25,sK25,X0,X1) ),
    inference(resolution,[],[f28138,f1759]) ).

fof(f29034,plain,
    ! [X2,X3,X0,X1] : para(X0,X1,X2,X3),
    inference(forward_subsumption_resolution,[],[f29014,f28138]) ).

fof(f29101,plain,
    ! [X2,X3,X0,X1,X4] :
      ( perp(X0,X1,X2,X3)
      | ~ para(X4,X4,X0,X1) ),
    inference(resolution,[],[f27852,f1760]) ).

fof(f29120,plain,
    ! [X2,X3,X0,X1] : perp(X0,X1,X2,X3),
    inference(forward_subsumption_resolution,[],[f29101,f29034]) ).

fof(f29557,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X0,X2)
      | ~ coll(X1,X1,X2)
      | midp(X1,X1,X2)
      | ~ perp(X0,X2,X2,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f1856,f376]) ).

fof(f29571,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X1,X1,X2)
      | midp(X1,X1,X2)
      | ~ perp(X0,X2,X2,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[],[f29557,f29034]) ).

fof(f29581,plain,
    ! [X2,X3,X0,X1] :
      ( midp(X1,X1,X2)
      | ~ perp(X0,X2,X2,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[],[f29571,f15793]) ).

fof(f29587,plain,
    ! [X2,X3,X0,X1] :
      ( midp(X1,X1,X2)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(forward_subsumption_resolution,[],[f29581,f29120]) ).

fof(f29590,plain,
    ! [X2,X1] : midp(X1,X1,X2),
    inference(forward_subsumption_resolution,[],[f29587,f23611]) ).

fof(f29933,plain,
    ! [X0,X1] : midp(X0,X1,X0),
    inference(resolution,[],[f29590,f281]) ).

fof(f30528,plain,
    ~ midp(sK20,sK20,sK25),
    inference(resolution,[],[f29933,f17422]) ).

fof(f30535,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f30528,f29590]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO591+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38  % Computer : n020.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 08:36:05 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41  Running first-order model finding
% 0.11/0.41  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
% 6.69/1.47  % (3094236)Will run a generic schedule for satisfiability detection.
% 6.69/1.47  % (3094245)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1402464682:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.69/1.47  % (3094242)% WARNING: option uhcvi not known.
% 6.69/1.47  % (3094241)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2086849919_2999 on theBenchmark for (2999ds/0Mi)
% 6.69/1.47  % (3094242)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1690369974:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.69/1.47  % (3094243)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3586429907:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.69/1.47  % (3094244)dis+10_1_sil=32000:sp=arity:random_seed=3664286082:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.69/1.47  % (3094246)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1458147549:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.69/1.47  % (3094247)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3826678292:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.69/1.47  % TRYING [1]
% 6.69/1.47  % TRYING [2]
% 6.69/1.47  % (3094245)Instruction limit reached! 
% 6.69/1.47  % (3094245)------------------------------
% 6.69/1.47  % (3094245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.47  % (3094245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.47  % (3094245)CaDiCaL version: 2.1.3
% 6.69/1.47  % (3094245)Termination reason: Instruction limit
% 6.69/1.47  % (3094245)Termination phase: Saturation
% 6.69/1.47  % (3094245)Time elapsed: 0.037 s
% 6.69/1.47  % (3094245)Peak memory usage: 12 MB
% 6.69/1.47  % (3094245)Instructions burned: 119 (million)
% 6.69/1.47  % TRYING [3]
% 6.69/1.47  % (3094255)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1222800115:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.69/1.47  % TRYING [1]
% 6.69/1.47  % TRYING [2]
% 6.69/1.47  % (3094244)Instruction limit reached! 
% 6.69/1.47  % (3094244)------------------------------
% 6.69/1.47  % (3094244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.47  % (3094244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.47  % (3094244)CaDiCaL version: 2.1.3
% 6.69/1.47  % (3094244)Termination reason: Instruction limit
% 6.69/1.47  % (3094244)Termination phase: Saturation
% 6.69/1.47  % (3094244)Time elapsed: 0.067 s
% 6.69/1.47  % (3094244)Peak memory usage: 13 MB
% 6.69/1.47  % (3094244)Instructions burned: 106 (million)
% 6.69/1.47  % TRYING [3]
% 6.69/1.47  % (3094246)Instruction limit reached! 
% 6.69/1.47  % (3094246)------------------------------
% 6.69/1.47  % (3094246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.47  % (3094246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.47  % (3094246)CaDiCaL version: 2.1.3
% 6.69/1.47  % (3094246)Termination reason: Instruction limit
% 6.69/1.47  % (3094246)Termination phase: Saturation
% 6.69/1.47  % (3094246)Time elapsed: 0.082 s
% 6.69/1.47  % (3094246)Peak memory usage: 14 MB
% 6.69/1.47  % (3094246)Instructions burned: 131 (million)
% 6.69/1.47  % (3094257)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1044365139:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.69/1.47  % (3094247)Instruction limit reached! 
% 6.69/1.47  % (3094247)------------------------------
% 6.69/1.47  % (3094247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.47  % (3094247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.47  % (3094247)CaDiCaL version: 2.1.3
% 6.69/1.47  % (3094247)Termination reason: Instruction limit
% 6.69/1.47  % (3094247)Termination phase: Saturation
% 6.69/1.47  % (3094247)Time elapsed: 0.098 s
% 6.69/1.47  % (3094247)Peak memory usage: 14 MB
% 6.69/1.47  % (3094247)Instructions burned: 159 (million)
% 6.69/1.47  % (3094258)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=946297756:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.69/1.47  % (3094260)ott-21_1_sil=16000:fs=off:random_seed=2215348699:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.69/1.47  % (3094257)Instruction limit reached! 
% 6.69/1.47  % (3094257)------------------------------
% 6.69/1.47  % (3094257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.47  % (3094257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.33  % (3094257)CaDiCaL version: 2.1.3
% 10.98/3.33  % (3094257)Termination reason: Instruction limit
% 10.98/3.33  % (3094257)Termination phase: Saturation
% 10.98/3.33  % (3094257)Time elapsed: 0.085 s
% 10.98/3.33  % (3094257)Peak memory usage: 15 MB
% 10.98/3.33  % (3094257)Instructions burned: 132 (million)
% 10.98/3.33  % (3094255)Instruction limit reached! 
% 10.98/3.33  % (3094255)------------------------------
% 10.98/3.33  % (3094255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/3.33  % (3094255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.33  % (3094255)CaDiCaL version: 2.1.3
% 10.98/3.33  % (3094255)Termination reason: Instruction limit
% 10.98/3.33  % (3094255)Termination phase: Finite model building constraint generation
% 10.98/3.33  % (3094255)Time elapsed: 0.134 s
% 10.98/3.33  % (3094255)Peak memory usage: 24 MB
% 10.98/3.33  % (3094255)Instructions burned: 718 (million)
% 10.98/3.33  % (3094264)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=249248395:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 10.98/3.33  % TRYING [1]
% 10.98/3.33  % TRYING [2]
% 10.98/3.33  % (3094263)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4286036359:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 10.98/3.33  % (3094260)Instruction limit reached! 
% 10.98/3.33  % (3094260)------------------------------
% 10.98/3.33  % (3094260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/3.33  % (3094260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.33  % (3094260)CaDiCaL version: 2.1.3
% 10.98/3.33  % (3094260)Termination reason: Instruction limit
% 10.98/3.33  % (3094260)Termination phase: Saturation
% 10.98/3.33  % (3094260)Time elapsed: 0.096 s
% 10.98/3.33  % (3094260)Peak memory usage: 13 MB
% 10.98/3.33  % (3094260)Instructions burned: 180 (million)
% 10.98/3.33  % TRYING [3]
% 10.98/3.33  % (3094267)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1516289066:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 10.98/3.33  % (3094264)Instruction limit reached! 
% 10.98/3.33  % (3094264)------------------------------
% 10.98/3.33  % (3094264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/3.33  % (3094264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.33  % (3094264)CaDiCaL version: 2.1.3
% 10.98/3.33  % (3094264)Termination reason: Instruction limit
% 10.98/3.33  % (3094264)Termination phase: Finite model building constraint generation
% 10.98/3.33  % (3094264)Time elapsed: 0.162 s
% 10.98/3.33  % (3094264)Peak memory usage: 50 MB
% 10.98/3.33  % (3094264)Instructions burned: 867 (million)
% 10.98/3.33  % (3094269)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=441226089:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 10.98/3.33  % (3094269)Cannot represent all propositional literals internally
% 10.98/3.33  % (3094269)Refutation not found, incomplete strategy
% 10.98/3.33  % (3094269)------------------------------
% 10.98/3.33  % (3094269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/3.33  % (3094269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.33  % (3094269)CaDiCaL version: 2.1.3
% 10.98/3.33  % (3094269)Termination reason: Refutation not found, incomplete strategy
% 10.98/3.33  % (3094269)Time elapsed: 0.003 s
% 10.98/3.33  % (3094269)Peak memory usage: 10 MB
% 10.98/3.33  % (3094269)Instructions burned: 12 (million)
% 10.98/3.33  % (3094269)------------------------------
% 10.98/3.33  % (3094269)------------------------------
% 10.98/3.33  % (3094271)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=3793529831: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)
% 10.98/3.33  % (3094263)Instruction limit reached! 
% 10.98/3.33  % (3094263)------------------------------
% 10.98/3.33  % (3094263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/3.33  % (3094263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.33  % (3094263)CaDiCaL version: 2.1.3
% 10.98/3.33  % (3094263)Termination reason: Instruction limit
% 10.98/3.33  % (3094263)Termination phase: Saturation
% 10.98/3.33  % (3094263)Time elapsed: 0.282 s
% 10.98/3.33  % (3094263)Peak memory usage: 15 MB
% 10.98/3.33  % (3094263)Instructions burned: 478 (million)
% 10.98/3.33  % (3094273)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2279131551:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 10.98/3.33  % (3094258)Instruction limit reached! 
% 10.98/3.33  % (3094258)------------------------------
% 10.98/3.33  % (3094258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/3.33  % (3094258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.33  % (3094258)CaDiCaL version: 2.1.3
% 10.98/3.33  % (3094258)Termination reason: Instruction limit
% 10.98/3.33  % (3094258)Termination phase: Saturation
% 10.98/3.33  % (3094258)Time elapsed: 0.420 s
% 10.98/3.33  % (3094258)Peak memory usage: 20 MB
% 10.98/3.33  % (3094258)Instructions burned: 685 (million)
% 10.98/3.33  % (3094275)fmb+10_1_sil=64000:random_seed=4197271760:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 10.98/3.33  % TRYING [1]
% 10.98/3.33  % TRYING [2]
% 10.98/3.33  % (3094271)Instruction limit reached! 
% 10.98/3.33  % (3094271)------------------------------
% 10.98/3.33  % (3094271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/3.33  % (3094271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.33  % (3094271)CaDiCaL version: 2.1.3
% 10.98/3.33  % (3094271)Termination reason: Instruction limit
% 10.98/3.33  % (3094271)Termination phase: Saturation
% 10.98/3.33  % (3094271)Time elapsed: 0.206 s
% 10.98/3.33  % (3094271)Peak memory usage: 26 MB
% 10.98/3.33  % (3094271)Instructions burned: 694 (million)
% 10.98/3.33  % (3094277)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3931491723:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 10.98/3.33  % (3094277)Cannot represent all propositional literals internally
% 10.98/3.33  % (3094277)Refutation not found, incomplete strategy
% 10.98/3.33  % (3094277)------------------------------
% 10.98/3.33  % (3094277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/3.33  % (3094277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.33  % (3094277)CaDiCaL version: 2.1.3
% 10.98/3.33  % (3094277)Termination reason: Refutation not found, incomplete strategy
% 10.98/3.33  % (3094277)Time elapsed: 0.003 s
% 10.98/3.33  % (3094277)Peak memory usage: 10 MB
% 10.98/3.33  % (3094277)Instructions burned: 12 (million)
% 10.98/3.33  % (3094277)------------------------------
% 10.98/3.33  % (3094277)------------------------------
% 10.98/3.33  % (3094279)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1461705068:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 10.98/3.33  % TRYING [8]
% 10.98/3.33  % TRYING [3]
% 10.98/3.33  % (3094279)Instruction limit reached! 
% 10.98/3.33  % (3094279)------------------------------
% 10.98/3.33  % (3094279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/3.33  % (3094279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.33  % (3094279)CaDiCaL version: 2.1.3
% 10.98/3.33  % (3094279)Termination reason: Instruction limit
% 10.98/3.33  % (3094279)Termination phase: Finite model building constraint generation
% 10.98/3.33  % (3094279)Time elapsed: 0.152 s
% 10.98/3.33  % (3094279)Peak memory usage: 45 MB
% 10.98/3.33  % (3094279)Instructions burned: 924 (million)
% 10.98/3.33  % (3094281)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3211596995:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 10.98/3.33  % (3094267)Instruction limit reached! 
% 10.98/3.33  % (3094267)------------------------------
% 10.98/3.33  % (3094267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/3.33  % (3094267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.33  % (3094267)CaDiCaL version: 2.1.3
% 10.98/3.33  % (3094267)Termination reason: Instruction limit
% 10.98/3.33  % (3094267)Termination phase: Saturation
% 10.98/3.33  % (3094267)Time elapsed: 0.721 s
% 10.98/3.33  % (3094267)Peak memory usage: 22 MB
% 10.98/3.33  % (3094267)Instructions burned: 1180 (million)
% 10.98/3.33  % (3094283)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2223514817:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 10.98/3.33  % (3094273)Instruction limit reached! 
% 10.98/3.33  % (3094273)------------------------------
% 10.98/3.33  % (3094273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/3.33  % (3094273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.33  % (3094273)CaDiCaL version: 2.1.3
% 10.98/3.33  % (3094273)Termination reason: Instruction limit
% 10.98/3.33  % (3094273)Termination phase: Saturation
% 10.98/3.33  % (3094273)Time elapsed: 0.484 s
% 10.98/3.33  % (3094273)Peak memory usage: 17 MB
% 10.98/3.33  % (3094273)Instructions burned: 880 (million)
% 10.98/3.33  % (3094285)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1915674937:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 10.98/3.33  % (3094285)Cannot represent all propositional literals internally
% 10.98/3.33  % (3094285)Refutation not found, incomplete strategy
% 10.98/3.33  % (3094285)------------------------------
% 10.98/3.33  % (3094285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/3.33  % (3094285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.33  % (3094285)CaDiCaL version: 2.1.3
% 10.98/3.33  % (3094285)Termination reason: Refutation not found, incomplete strategy
% 10.98/3.33  % (3094285)Time elapsed: 0.008 s
% 10.98/3.33  % (3094285)Peak memory usage: 11 MB
% 10.98/3.33  % (3094285)Instructions burned: 15 (million)
% 10.98/3.33  % (3094285)------------------------------
% 10.98/3.33  % (3094285)------------------------------
% 10.98/3.33  % (3094287)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1692534328:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 10.98/3.33  % (3094287)Cannot represent all propositional literals internally
% 10.98/3.33  % (3094287)Refutation not found, incomplete strategy
% 10.98/3.33  % (3094287)------------------------------
% 10.98/3.33  % (3094287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/3.33  % (3094287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.33  % (3094287)CaDiCaL version: 2.1.3
% 10.98/3.33  % (3094287)Termination reason: Refutation not found, incomplete strategy
% 10.98/3.33  % (3094287)Time elapsed: 0.083 s
% 10.98/3.33  % (3094287)Peak memory usage: 12 MB
% 10.98/3.33  % (3094287)Instructions burned: 166 (million)
% 10.98/3.33  % (3094287)------------------------------
% 10.98/3.33  % (3094287)------------------------------
% 10.98/3.33  % (3094289)ott-2_1_sil=16000:newcnf=on:random_seed=3073875648:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 10.98/3.33  % (3094289)Instruction limit reached! 
% 10.98/3.33  % (3094289)------------------------------
% 10.98/3.33  % (3094289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/3.33  % (3094289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.33  % (3094289)CaDiCaL version: 2.1.3
% 10.98/3.33  % (3094289)Termination reason: Instruction limit
% 10.98/3.33  % (3094289)Termination phase: Saturation
% 10.98/3.33  % (3094289)Time elapsed: 0.547 s
% 10.98/3.33  % (3094289)Peak memory usage: 16 MB
% 10.98/3.33  % (3094289)Instructions burned: 870 (million)
% 10.98/3.33  % (3094291)ott+10_1_sil=32000:tgt=ground:random_seed=3713442668:i=5114:av=off_2982 on theBenchmark for (2982ds/5114Mi)
% 10.98/3.33  % (3094283)Instruction limit reached! 
% 10.98/3.33  % (3094283)------------------------------
% 10.98/3.33  % (3094283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/3.33  % (3094283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.33  % (3094283)CaDiCaL version: 2.1.3
% 10.98/3.33  % (3094283)Termination reason: Instruction limit
% 10.98/3.33  % (3094283)Termination phase: Saturation
% 10.98/3.33  % (3094283)Time elapsed: 0.923 s
% 10.98/3.33  % (3094283)Peak memory usage: 29 MB
% 10.98/3.33  % (3094283)Instructions burned: 1472 (million)
% 10.98/3.33  % (3094293)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=895344519:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 10.98/3.33  % TRYING [1]
% 10.98/3.33  % TRYING [2]
% 10.98/3.33  % TRYING [3]
% 10.98/3.33  % (3094281)Instruction limit reached! 
% 10.98/3.33  % (3094281)------------------------------
% 10.98/3.33  % (3094281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/3.33  % (3094281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.33  % (3094281)CaDiCaL version: 2.1.3
% 10.98/3.33  % (3094281)Termination reason: Instruction limit
% 10.98/3.33  % (3094281)Termination phase: Saturation
% 10.98/3.33  % (3094281)Time elapsed: 1.700 s
% 10.98/3.33  % (3094281)Peak memory usage: 35 MB
% 10.98/3.33  % (3094281)Instructions burned: 5132 (million)
% 10.98/3.33  % (3094295)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3298957227:i=3512:aac=none_2974 on theBenchmark for (2974ds/3512Mi)
% 10.98/3.33  % TRYING [4]
% 10.98/3.33  % (3094291) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3094236-3094291"...
% 10.98/3.33  % (3094291)...printing done.
% 10.98/3.33  % (3094291)Refutation found. Thanks to Tanya!
% 10.98/3.33  % SZS status Theorem for theBenchmark
% 10.98/3.33  % SZS output start Proof for theBenchmark
% See solution above
% 10.98/3.33  % (3094291)------------------------------
% 10.98/3.33  % (3094291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/3.33  % (3094291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.33  % (3094291)CaDiCaL version: 2.1.3
% 10.98/3.33  % (3094291)Termination reason: Refutation
% 10.98/3.33  % (3094291)Time elapsed: 1.108 s
% 10.98/3.33  % (3094291)Peak memory usage: 29 MB
% 10.98/3.33  % (3094291)Instructions burned: 1746 (million)
% 10.98/3.33  % (3094236)Success in time 2.906 s
% 10.98/3.33  % Vampire exiting
%------------------------------------------------------------------------------