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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO598+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n010.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 09:54:49 AM UTC 2026

% Result   : Theorem 10.69s 2.92s
% Output   : Refutation 10.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  143 (  24 unt;   0 def)
%            Number of atoms       :  370 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  380 ( 153   ~; 149   |;  52   &)
%                                         (   0 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-8 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :  627 ( 607   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X1,X0,X2) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

fof(f22,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
        & eqangle(X4,X5,X6,X7,X8,X9,X10,X11) )
     => eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).

fof(f23,axiom,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X2,X3)
     => cong(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).

fof(f29,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD29) ).

fof(f39,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
     => para(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).

fof(f47,axiom,
    ! [X0,X1,X2] :
      ( cong(X2,X0,X2,X1)
     => eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

fof(f67,axiom,
    ! [X0,X1,X2] :
      ( para(X0,X1,X0,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).

fof(f71,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( midp(X4,X0,X1)
        & midp(X5,X2,X3) )
     => eqratio(X4,X0,X0,X1,X5,X2,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD70) ).

fof(f76,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
        & cong(X4,X5,X6,X7) )
     => cong(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD75) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( circle(X3,X0,X1,X2)
        & midp(X4,X2,X1)
        & midp(X5,X0,X2)
        & midp(X6,X1,X0)
        & coll(X7,X3,X6)
        & circle(X3,X0,X7,X9)
        & perp(X8,X7,X0,X2)
        & coll(X8,X0,X2) )
     => eqangle(X5,X6,X6,X8,X8,X6,X6,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416060) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
        ( ( circle(X3,X0,X1,X2)
          & midp(X4,X2,X1)
          & midp(X5,X0,X2)
          & midp(X6,X1,X0)
          & coll(X7,X3,X6)
          & circle(X3,X0,X7,X9)
          & perp(X8,X7,X0,X2)
          & coll(X8,X0,X2) )
       => eqangle(X5,X6,X6,X8,X8,X6,X6,X4) ),
    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(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(f123,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f19]) ).

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

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

fof(f126,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
    inference(ennf_transformation,[],[f22]) ).

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

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

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

fof(f148,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f149,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f150,plain,
    ! [X0,X1,X2,X3] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f151,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | coll(X2,X3,X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f152,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | coll(X2,X3,X0) ),
    inference(flattening,[],[f151]) ).

fof(f153,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ coll(X2,X3,X1) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f154,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ coll(X2,X3,X1) ),
    inference(flattening,[],[f153]) ).

fof(f155,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f156,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
    inference(flattening,[],[f155]) ).

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

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

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

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

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

fof(f249,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ eqangle(X5,X6,X6,X8,X8,X6,X6,X4)
      & circle(X3,X0,X1,X2)
      & midp(X4,X2,X1)
      & midp(X5,X0,X2)
      & midp(X6,X1,X0)
      & coll(X7,X3,X6)
      & circle(X3,X0,X7,X9)
      & perp(X8,X7,X0,X2)
      & coll(X8,X0,X2) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f250,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ eqangle(X5,X6,X6,X8,X8,X6,X6,X4)
      & circle(X3,X0,X1,X2)
      & midp(X4,X2,X1)
      & midp(X5,X0,X2)
      & midp(X6,X1,X0)
      & coll(X7,X3,X6)
      & circle(X3,X0,X7,X9)
      & perp(X8,X7,X0,X2)
      & coll(X8,X0,X2) ),
    inference(flattening,[],[f249]) ).

fof(f270,plain,
    ( ~ eqangle(sK25,sK26,sK26,sK28,sK28,sK26,sK26,sK24)
    & circle(sK23,sK20,sK21,sK22)
    & midp(sK24,sK22,sK21)
    & midp(sK25,sK20,sK22)
    & midp(sK26,sK21,sK20)
    & coll(sK27,sK23,sK26)
    & circle(sK23,sK20,sK27,sK29)
    & perp(sK28,sK27,sK20,sK22)
    & coll(sK28,sK20,sK22) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29]),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),skolemize(X9,sK29)],[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(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(f289,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    inference(cnf_transformation,[],[f123]) ).

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

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

fof(f292,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
    inference(cnf_transformation,[],[f127]) ).

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

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

fof(f309,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f310,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f311,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f312,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3)
      | coll(X2,X3,X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f313,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3)
      | ~ coll(X2,X3,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f314,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | cong(X0,X1,X3,X4) ),
    inference(cnf_transformation,[],[f156]) ).

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

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

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

fof(f385,plain,
    perp(sK28,sK27,sK20,sK22),
    inference(cnf_transformation,[],[f270]) ).

fof(f392,plain,
    ~ eqangle(sK25,sK26,sK26,sK28,sK28,sK26,sK26,sK24),
    inference(cnf_transformation,[],[f270]) ).

fof(f422,plain,
    perp(sK20,sK22,sK28,sK27),
    inference(resolution,[],[f278,f385]) ).

fof(f508,plain,
    ! [X0,X1] :
      ( ~ cong(X0,X0,X0,X1)
      | para(X0,X0,X0,X1) ),
    inference(resolution,[],[f317,f309]) ).

fof(f535,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK20,sK22)
      | para(X0,X1,sK28,sK27) ),
    inference(resolution,[],[f279,f422]) ).

fof(f538,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK28,sK27)
      | para(X0,X1,sK20,sK22) ),
    inference(resolution,[],[f279,f385]) ).

fof(f595,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(f603,plain,
    ! [X2,X0,X1] :
      ( eqangle(X0,X1,X2,X1,X2,X0,X0,X1)
      | ~ cong(X2,X0,X2,X1) ),
    inference(resolution,[],[f290,f317]) ).

fof(f608,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(f630,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqratio(X0,X1,X2,X3,X1,X4,X3,X5)
      | ~ midp(X0,X1,X4)
      | ~ midp(X2,X3,X5) ),
    inference(resolution,[],[f299,f341]) ).

fof(f948,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X0,X1,X2,X3,X8,X9,X6,X7)
      | ~ para(X4,X5,X8,X9) ),
    inference(resolution,[],[f292,f310]) ).

fof(f1028,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(f1034,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,[],[f1028]) ).

fof(f1161,plain,
    para(sK20,sK22,sK20,sK22),
    inference(resolution,[],[f538,f422]) ).

fof(f1486,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | para(X2,X3,X2,X3) ),
    inference(resolution,[],[f595,f309]) ).

fof(f1623,plain,
    ! [X0,X1] :
      ( ~ cong(X0,X0,X0,X1)
      | para(X0,X1,X0,X0) ),
    inference(resolution,[],[f603,f309]) ).

fof(f1666,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | ~ coll(X0,X2,X1) ),
    inference(resolution,[],[f608,f313]) ).

fof(f1667,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | coll(X0,X2,X1) ),
    inference(resolution,[],[f608,f312]) ).

fof(f1677,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2) ),
    inference(forward_subsumption_resolution,[],[f1666,f1667]) ).

fof(f1986,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ cong(X1,X2,X4,X5)
      | ~ midp(X3,X4,X5)
      | cong(X0,X1,X3,X4)
      | ~ midp(X0,X1,X2) ),
    inference(resolution,[],[f630,f346]) ).

fof(f3192,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | ~ para(X0,X1,X4,X5)
      | ~ para(X2,X3,X6,X7) ),
    inference(resolution,[],[f948,f595]) ).

fof(f4919,plain,
    para(sK28,sK27,sK28,sK27),
    inference(resolution,[],[f535,f385]) ).

fof(f8331,plain,
    ! [X0,X1] : para(X0,X1,X0,X1),
    inference(resolution,[],[f1486,f4919]) ).

fof(f8366,plain,
    ! [X0] : cyclic(sK22,sK22,sK20,X0),
    inference(resolution,[],[f1677,f1161]) ).

fof(f8641,plain,
    ( ~ cyclic(sK22,sK22,sK20,sK22)
    | ~ cyclic(sK22,sK22,sK20,sK22)
    | cong(sK22,sK22,sK22,sK22) ),
    inference(resolution,[],[f8366,f1034]) ).

fof(f8647,plain,
    ( ~ cyclic(sK22,sK22,sK20,sK22)
    | cong(sK22,sK22,sK22,sK22) ),
    inference(duplicate_literal_removal,[],[f8641]) ).

fof(f8648,plain,
    cong(sK22,sK22,sK22,sK22),
    inference(forward_subsumption_resolution,[],[f8647,f8366]) ).

fof(f8813,plain,
    ! [X0,X1] : coll(X0,X1,X1),
    inference(resolution,[],[f8331,f337]) ).

fof(f8814,plain,
    ! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
    inference(resolution,[],[f8331,f1677]) ).

fof(f8819,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X1,X1)
      | ~ para(X1,X2,X1,X2)
      | midp(X0,X2,X2) ),
    inference(resolution,[],[f8331,f335]) ).

fof(f8843,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X1,X1)
      | midp(X0,X2,X2) ),
    inference(forward_subsumption_resolution,[],[f8819,f8331]) ).

fof(f8851,plain,
    ! [X0,X1] : coll(X0,X1,X0),
    inference(resolution,[],[f8813,f272]) ).

fof(f8940,plain,
    ! [X0,X1] : coll(X0,X0,X1),
    inference(resolution,[],[f8851,f271]) ).

fof(f9104,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X0,X1)
      | coll(X1,X2,X0) ),
    inference(resolution,[],[f8940,f273]) ).

fof(f9127,plain,
    ! [X2,X0,X1] : coll(X1,X2,X0),
    inference(forward_subsumption_resolution,[],[f9104,f8940]) ).

fof(f11237,plain,
    ! [X0,X1] :
      ( ~ cyclic(X0,X0,X1,X0)
      | ~ cyclic(X0,X0,X1,X0)
      | cong(X0,X0,X0,X0) ),
    inference(resolution,[],[f8814,f1034]) ).

fof(f11250,plain,
    ! [X0,X1] :
      ( ~ cyclic(X0,X0,X1,X0)
      | cong(X0,X0,X0,X0) ),
    inference(duplicate_literal_removal,[],[f11237]) ).

fof(f11253,plain,
    ! [X0] : cong(X0,X0,X0,X0),
    inference(forward_subsumption_resolution,[],[f11250,f8814]) ).

fof(f12592,plain,
    ! [X0] :
      ( midp(X0,X0,X0)
      | ~ coll(X0,X0,X0) ),
    inference(resolution,[],[f11253,f338]) ).

fof(f12625,plain,
    ! [X0] : midp(X0,X0,X0),
    inference(forward_subsumption_resolution,[],[f12592,f9127]) ).

fof(f13459,plain,
    ! [X0,X1] : midp(X0,X1,X1),
    inference(resolution,[],[f8843,f12625]) ).

fof(f17617,plain,
    ! [X0,X1] :
      ( ~ midp(X0,sK22,sK22)
      | cong(X1,sK22,X0,sK22)
      | ~ midp(X1,sK22,sK22) ),
    inference(resolution,[],[f1986,f8648]) ).

fof(f17632,plain,
    ! [X0,X1] :
      ( ~ midp(X0,sK22,sK22)
      | cong(X1,sK22,X0,sK22) ),
    inference(forward_subsumption_resolution,[],[f17617,f13459]) ).

fof(f17642,plain,
    ! [X0,X1] : cong(X1,sK22,X0,sK22),
    inference(forward_subsumption_resolution,[],[f17632,f13459]) ).

fof(f17679,plain,
    ! [X0,X1] : cong(X0,sK22,sK22,X1),
    inference(resolution,[],[f17642,f293]) ).

fof(f17903,plain,
    ! [X0] : para(sK22,X0,sK22,sK22),
    inference(resolution,[],[f17679,f1623]) ).

fof(f17904,plain,
    ! [X0] : para(sK22,sK22,sK22,X0),
    inference(resolution,[],[f17679,f508]) ).

fof(f18829,plain,
    ! [X0,X1] :
      ( ~ midp(X0,sK22,sK22)
      | ~ para(sK22,sK22,sK22,X1)
      | midp(X0,sK22,X1) ),
    inference(resolution,[],[f17903,f335]) ).

fof(f18834,plain,
    ! [X0,X1] :
      ( ~ para(sK22,sK22,sK22,X1)
      | midp(X0,sK22,X1) ),
    inference(forward_subsumption_resolution,[],[f18829,f13459]) ).

fof(f18836,plain,
    ! [X0,X1] : midp(X0,sK22,X1),
    inference(forward_subsumption_resolution,[],[f18834,f17904]) ).

fof(f18852,plain,
    ! [X2,X3,X0,X1] :
      ( ~ midp(X0,sK22,X1)
      | para(X0,X2,X1,X3) ),
    inference(resolution,[],[f18836,f315]) ).

fof(f18912,plain,
    ! [X2,X3,X0,X1] : para(X0,X2,X1,X3),
    inference(forward_subsumption_resolution,[],[f18852,f18836]) ).

fof(f26116,plain,
    ( ~ para(sK25,sK26,sK28,sK26)
    | ~ para(sK26,sK28,sK26,sK24) ),
    inference(resolution,[],[f3192,f392]) ).

fof(f26166,plain,
    ~ para(sK25,sK26,sK28,sK26),
    inference(forward_subsumption_resolution,[],[f26116,f18912]) ).

fof(f26178,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f26166,f18912]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO598+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36  % Computer : n010.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 27 08:36:46 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40  Running first-order model finding
% 0.10/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.84/1.46  % (640265)Will run a generic schedule for satisfiability detection.
% 6.84/1.46  % (640273)dis+10_1_sil=32000:sp=arity:random_seed=3610502219:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.84/1.46  % (640271)% WARNING: option uhcvi not known.
% 6.84/1.46  % (640274)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3774760574:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.84/1.46  % (640270)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3654673260_2999 on theBenchmark for (2999ds/0Mi)
% 6.84/1.46  % (640272)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3985174892:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.84/1.46  % (640275)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=502869217:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.84/1.46  % (640276)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1004776207:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.84/1.46  % (640271)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2489273844:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.84/1.46  % TRYING [1]
% 6.84/1.46  % TRYING [2]
% 6.84/1.46  % (640273)Instruction limit reached! 
% 6.84/1.46  % (640273)------------------------------
% 6.84/1.46  % (640273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.46  % (640273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.46  % (640273)CaDiCaL version: 2.1.3
% 6.84/1.46  % (640273)Termination reason: Instruction limit
% 6.84/1.46  % (640273)Termination phase: Saturation
% 6.84/1.46  % (640273)Time elapsed: 0.038 s
% 6.84/1.46  % (640273)Peak memory usage: 12 MB
% 6.84/1.46  % (640273)Instructions burned: 104 (million)
% 6.84/1.46  % TRYING [3]
% 6.84/1.46  % (640284)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=496084995:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.84/1.46  % TRYING [1]
% 6.84/1.46  % TRYING [2]
% 6.84/1.46  % TRYING [3]
% 6.84/1.46  % (640274)Instruction limit reached! 
% 6.84/1.46  % (640274)------------------------------
% 6.84/1.46  % (640274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.46  % (640274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.46  % (640274)CaDiCaL version: 2.1.3
% 6.84/1.46  % (640274)Termination reason: Instruction limit
% 6.84/1.46  % (640274)Termination phase: Saturation
% 6.84/1.46  % (640274)Time elapsed: 0.071 s
% 6.84/1.46  % (640274)Peak memory usage: 13 MB
% 6.84/1.46  % (640274)Instructions burned: 118 (million)
% 6.84/1.46  % (640275)Instruction limit reached! 
% 6.84/1.46  % (640275)------------------------------
% 6.84/1.46  % (640275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.46  % (640275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.46  % (640275)CaDiCaL version: 2.1.3
% 6.84/1.46  % (640275)Termination reason: Instruction limit
% 6.84/1.46  % (640275)Termination phase: Saturation
% 6.84/1.46  % (640275)Time elapsed: 0.080 s
% 6.84/1.46  % (640275)Peak memory usage: 14 MB
% 6.84/1.46  % (640275)Instructions burned: 131 (million)
% 6.84/1.46  % (640286)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=244209571:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.84/1.46  % (640276)Instruction limit reached! 
% 6.84/1.46  % (640276)------------------------------
% 6.84/1.46  % (640276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.46  % (640276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.46  % (640276)CaDiCaL version: 2.1.3
% 6.84/1.46  % (640276)Termination reason: Instruction limit
% 6.84/1.46  % (640276)Termination phase: Saturation
% 6.84/1.46  % (640276)Time elapsed: 0.097 s
% 6.84/1.46  % (640276)Peak memory usage: 13 MB
% 6.84/1.46  % (640276)Instructions burned: 162 (million)
% 6.84/1.46  % (640287)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=2356506142:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.84/1.46  % (640289)ott-21_1_sil=16000:fs=off:random_seed=982986649:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.84/1.46  % (640286)Instruction limit reached! 
% 6.84/1.46  % (640286)------------------------------
% 6.84/1.46  % (640286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.46  % (640286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.92  % (640286)CaDiCaL version: 2.1.3
% 10.69/2.92  % (640286)Termination reason: Instruction limit
% 10.69/2.92  % (640286)Termination phase: Saturation
% 10.69/2.92  % (640286)Time elapsed: 0.080 s
% 10.69/2.92  % (640286)Peak memory usage: 14 MB
% 10.69/2.92  % (640286)Instructions burned: 132 (million)
% 10.69/2.92  % (640284)Instruction limit reached! 
% 10.69/2.92  % (640284)------------------------------
% 10.69/2.92  % (640284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.69/2.92  % (640284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.92  % (640284)CaDiCaL version: 2.1.3
% 10.69/2.92  % (640284)Termination reason: Instruction limit
% 10.69/2.92  % (640284)Termination phase: Finite model building constraint generation
% 10.69/2.92  % (640284)Time elapsed: 0.133 s
% 10.69/2.92  % (640284)Peak memory usage: 24 MB
% 10.69/2.92  % (640284)Instructions burned: 717 (million)
% 10.69/2.92  % (640293)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1000626053:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 10.69/2.92  % TRYING [1]
% 10.69/2.92  % (640292)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=921723450:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 10.69/2.92  % TRYING [2]
% 10.69/2.92  % (640289)Instruction limit reached! 
% 10.69/2.92  % (640289)------------------------------
% 10.69/2.92  % (640289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.69/2.92  % (640289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.92  % (640289)CaDiCaL version: 2.1.3
% 10.69/2.92  % (640289)Termination reason: Instruction limit
% 10.69/2.92  % (640289)Termination phase: Saturation
% 10.69/2.92  % (640289)Time elapsed: 0.095 s
% 10.69/2.92  % (640289)Peak memory usage: 13 MB
% 10.69/2.92  % (640289)Instructions burned: 180 (million)
% 10.69/2.92  % TRYING [3]
% 10.69/2.92  % (640296)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2477588750:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 10.69/2.92  % (640293)Instruction limit reached! 
% 10.69/2.92  % (640293)------------------------------
% 10.69/2.92  % (640293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.69/2.92  % (640293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.92  % (640293)CaDiCaL version: 2.1.3
% 10.69/2.92  % (640293)Termination reason: Instruction limit
% 10.69/2.92  % (640293)Termination phase: Finite model building constraint generation
% 10.69/2.92  % (640293)Time elapsed: 0.165 s
% 10.69/2.92  % (640293)Peak memory usage: 50 MB
% 10.69/2.92  % (640293)Instructions burned: 868 (million)
% 10.69/2.92  % (640298)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1468709615:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 10.69/2.92  % (640298)Cannot represent all propositional literals internally
% 10.69/2.92  % (640298)Refutation not found, incomplete strategy
% 10.69/2.92  % (640298)------------------------------
% 10.69/2.92  % (640298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.69/2.92  % (640298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.92  % (640298)CaDiCaL version: 2.1.3
% 10.69/2.92  % (640298)Termination reason: Refutation not found, incomplete strategy
% 10.69/2.92  % (640298)Time elapsed: 0.003 s
% 10.69/2.92  % (640298)Peak memory usage: 10 MB
% 10.69/2.92  % (640298)Instructions burned: 13 (million)
% 10.69/2.92  % (640298)------------------------------
% 10.69/2.92  % (640298)------------------------------
% 10.69/2.92  % (640300)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=3206523803: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)
% 10.69/2.92  % (640292)Instruction limit reached! 
% 10.69/2.92  % (640292)------------------------------
% 10.69/2.92  % (640292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.69/2.92  % (640292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.92  % (640292)CaDiCaL version: 2.1.3
% 10.69/2.92  % (640292)Termination reason: Instruction limit
% 10.69/2.92  % (640292)Termination phase: Saturation
% 10.69/2.92  % (640292)Time elapsed: 0.292 s
% 10.69/2.92  % (640292)Peak memory usage: 15 MB
% 10.69/2.92  % (640292)Instructions burned: 477 (million)
% 10.69/2.92  % (640287)Instruction limit reached! 
% 10.69/2.92  % (640287)------------------------------
% 10.69/2.92  % (640287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.69/2.92  % (640287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.92  % (640287)CaDiCaL version: 2.1.3
% 10.69/2.92  % (640287)Termination reason: Instruction limit
% 10.69/2.92  % (640287)Termination phase: Saturation
% 10.69/2.92  % (640287)Time elapsed: 0.384 s
% 10.69/2.92  % (640287)Peak memory usage: 16 MB
% 10.69/2.92  % (640287)Instructions burned: 685 (million)
% 10.69/2.92  % (640302)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2335282377:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 10.69/2.92  % (640303)fmb+10_1_sil=64000:random_seed=244849131:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 10.69/2.92  % TRYING [1]
% 10.69/2.92  % TRYING [2]
% 10.69/2.92  % (640300)Instruction limit reached! 
% 10.69/2.92  % (640300)------------------------------
% 10.69/2.92  % (640300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.69/2.92  % (640300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.92  % (640300)CaDiCaL version: 2.1.3
% 10.69/2.92  % (640300)Termination reason: Instruction limit
% 10.69/2.92  % (640300)Termination phase: Saturation
% 10.69/2.92  % (640300)Time elapsed: 0.199 s
% 10.69/2.92  % (640300)Peak memory usage: 22 MB
% 10.69/2.92  % (640300)Instructions burned: 693 (million)
% 10.69/2.92  % (640306)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2179088606:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 10.69/2.92  % (640306)Cannot represent all propositional literals internally
% 10.69/2.92  % (640306)Refutation not found, incomplete strategy
% 10.69/2.92  % (640306)------------------------------
% 10.69/2.92  % (640306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.69/2.92  % (640306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.92  % (640306)CaDiCaL version: 2.1.3
% 10.69/2.92  % (640306)Termination reason: Refutation not found, incomplete strategy
% 10.69/2.92  % (640306)Time elapsed: 0.003 s
% 10.69/2.92  % (640306)Peak memory usage: 11 MB
% 10.69/2.92  % (640306)Instructions burned: 13 (million)
% 10.69/2.92  % (640306)------------------------------
% 10.69/2.92  % (640306)------------------------------
% 10.69/2.92  % TRYING [3]
% 10.69/2.92  % (640308)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=393216:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 10.69/2.92  % TRYING [8]
% 10.69/2.92  % (640308)Instruction limit reached! 
% 10.69/2.92  % (640308)------------------------------
% 10.69/2.92  % (640308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.69/2.92  % (640308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.92  % (640308)CaDiCaL version: 2.1.3
% 10.69/2.92  % (640308)Termination reason: Instruction limit
% 10.69/2.92  % (640308)Termination phase: Finite model building constraint generation
% 10.69/2.92  % (640308)Time elapsed: 0.156 s
% 10.69/2.92  % (640308)Peak memory usage: 45 MB
% 10.69/2.92  % (640308)Instructions burned: 922 (million)
% 10.69/2.92  % (640310)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2435333174:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 10.69/2.92  % (640296)Instruction limit reached! 
% 10.69/2.92  % (640296)------------------------------
% 10.69/2.92  % (640296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.69/2.92  % (640296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.92  % (640296)CaDiCaL version: 2.1.3
% 10.69/2.92  % (640296)Termination reason: Instruction limit
% 10.69/2.92  % (640296)Termination phase: Saturation
% 10.69/2.92  % (640296)Time elapsed: 0.719 s
% 10.69/2.92  % (640296)Peak memory usage: 25 MB
% 10.69/2.92  % (640296)Instructions burned: 1180 (million)
% 10.69/2.92  % (640312)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3792471972:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 10.69/2.92  % (640302)Instruction limit reached! 
% 10.69/2.92  % (640302)------------------------------
% 10.69/2.92  % (640302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.69/2.92  % (640302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.92  % (640302)CaDiCaL version: 2.1.3
% 10.69/2.92  % (640302)Termination reason: Instruction limit
% 10.69/2.92  % (640302)Termination phase: Saturation
% 10.69/2.92  % (640302)Time elapsed: 0.484 s
% 10.69/2.92  % (640302)Peak memory usage: 18 MB
% 10.69/2.92  % (640302)Instructions burned: 881 (million)
% 10.69/2.92  % (640314)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1259840555:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 10.69/2.92  % (640314)Cannot represent all propositional literals internally
% 10.69/2.92  % (640314)Refutation not found, incomplete strategy
% 10.69/2.92  % (640314)------------------------------
% 10.69/2.92  % (640314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.69/2.92  % (640314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.92  % (640314)CaDiCaL version: 2.1.3
% 10.69/2.92  % (640314)Termination reason: Refutation not found, incomplete strategy
% 10.69/2.92  % (640314)Time elapsed: 0.008 s
% 10.69/2.92  % (640314)Peak memory usage: 11 MB
% 10.69/2.92  % (640314)Instructions burned: 15 (million)
% 10.69/2.92  % (640314)------------------------------
% 10.69/2.92  % (640314)------------------------------
% 10.69/2.92  % (640316)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2344864691:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 10.69/2.92  % (640316)Cannot represent all propositional literals internally
% 10.69/2.92  % (640316)Refutation not found, incomplete strategy
% 10.69/2.92  % (640316)------------------------------
% 10.69/2.92  % (640316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.69/2.92  % (640316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.92  % (640316)CaDiCaL version: 2.1.3
% 10.69/2.92  % (640316)Termination reason: Refutation not found, incomplete strategy
% 10.69/2.92  % (640316)Time elapsed: 0.082 s
% 10.69/2.92  % (640316)Peak memory usage: 12 MB
% 10.69/2.92  % (640316)Instructions burned: 166 (million)
% 10.69/2.92  % (640316)------------------------------
% 10.69/2.92  % (640316)------------------------------
% 10.69/2.92  % (640318)ott-2_1_sil=16000:newcnf=on:random_seed=3109314724:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 10.69/2.92  % (640318)Instruction limit reached! 
% 10.69/2.92  % (640318)------------------------------
% 10.69/2.92  % (640318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.69/2.92  % (640318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.92  % (640318)CaDiCaL version: 2.1.3
% 10.69/2.92  % (640318)Termination reason: Instruction limit
% 10.69/2.92  % (640318)Termination phase: Saturation
% 10.69/2.92  % (640318)Time elapsed: 0.544 s
% 10.69/2.92  % (640318)Peak memory usage: 17 MB
% 10.69/2.92  % (640318)Instructions burned: 870 (million)
% 10.69/2.92  % (640320)ott+10_1_sil=32000:tgt=ground:random_seed=3525179198:i=5114:av=off_2982 on theBenchmark for (2982ds/5114Mi)
% 10.69/2.92  % (640312)Instruction limit reached! 
% 10.69/2.92  % (640312)------------------------------
% 10.69/2.92  % (640312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.69/2.92  % (640312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.92  % (640312)CaDiCaL version: 2.1.3
% 10.69/2.92  % (640312)Termination reason: Instruction limit
% 10.69/2.92  % (640312)Termination phase: Saturation
% 10.69/2.92  % (640312)Time elapsed: 0.925 s
% 10.69/2.92  % (640312)Peak memory usage: 33 MB
% 10.69/2.92  % (640312)Instructions burned: 1473 (million)
% 10.69/2.92  % (640322)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3107858442:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 10.69/2.92  % TRYING [1]
% 10.69/2.92  % TRYING [2]
% 10.69/2.92  % TRYING [4]
% 10.69/2.92  % TRYING [3]
% 10.69/2.92  % (640320) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-640265-640320"...
% 10.69/2.92  % (640320)...printing done.
% 10.69/2.92  % (640320)Refutation found. Thanks to Tanya!
% 10.69/2.92  % SZS status Theorem for theBenchmark
% 10.69/2.92  % SZS output start Proof for theBenchmark
% See solution above
% 10.69/2.93  % (640320)------------------------------
% 10.69/2.93  % (640320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.69/2.93  % (640320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.93  % (640320)CaDiCaL version: 2.1.3
% 10.69/2.93  % (640320)Termination reason: Refutation
% 10.69/2.93  % (640320)Time elapsed: 0.732 s
% 10.69/2.93  % (640320)Peak memory usage: 24 MB
% 10.69/2.93  % (640320)Instructions burned: 1155 (million)
% 10.69/2.93  % (640265)Success in time 2.516 s
% 10.69/2.93  % Vampire exiting
%------------------------------------------------------------------------------