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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO605+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 : n012.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 09:54:51 AM UTC 2026

% Result   : Theorem 10.01s 2.00s
% Output   : Refutation 10.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  125 (  17 unt;   0 def)
%            Number of atoms       :  364 (   0 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :  376 ( 137   ~; 135   |;  80   &)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   11 (  11 usr;  11 con; 0-0 aty)
%            Number of variables   :  583 ( 561   !;  22   ?)

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

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

fof(f17,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( cyclic(X0,X1,X2,X3)
        & cyclic(X0,X1,X2,X4) )
     => cyclic(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).

fof(f18,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).

fof(f19,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

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

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

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

fof(f39,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
     => para(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).

fof(f40,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
     => eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

fof(f41,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).

fof(f42,axiom,
    ! [X0,X1,X2,X3] :
      ( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
        & ~ coll(X2,X3,X0) )
     => cyclic(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).

fof(f43,axiom,
    ! [X0,X1,X2,X3] :
      ( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
        & coll(X2,X3,X1) )
     => cyclic(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

fof(f44,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( cyclic(X0,X1,X2,X3)
        & cyclic(X0,X1,X2,X4)
        & cyclic(X0,X1,X2,X5)
        & eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
     => cong(X0,X1,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).

fof(f57,axiom,
    ! [X0,X1,X2,X3] :
      ( ( cong(X0,X2,X1,X2)
        & cong(X0,X3,X1,X3) )
     => perp(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).

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

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

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

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

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ( eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
        & eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
        & eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
        & perp(X1,X3,X1,X4)
        & perp(X2,X3,X2,X5)
        & coll(X4,X2,X3)
        & coll(X5,X1,X3)
        & midp(X6,X5,X4)
        & midp(X8,X1,X3)
        & perp(X1,X3,X8,X7)
        & midp(X9,X1,X2)
        & perp(X1,X2,X9,X7)
        & midp(X10,X3,X2)
        & perp(X3,X2,X10,X7) )
     => perp(X6,X1,X1,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618067) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
        ( ( eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
          & eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
          & eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
          & perp(X1,X3,X1,X4)
          & perp(X2,X3,X2,X5)
          & coll(X4,X2,X3)
          & coll(X5,X1,X3)
          & midp(X6,X5,X4)
          & midp(X8,X1,X3)
          & perp(X1,X3,X8,X7)
          & midp(X9,X1,X2)
          & perp(X1,X2,X9,X7)
          & midp(X10,X3,X2)
          & perp(X3,X2,X10,X7) )
       => perp(X6,X1,X1,X7) ),
    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(f120,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f121,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4) ),
    inference(flattening,[],[f120]) ).

fof(f122,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f123,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f19]) ).

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

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

fof(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(f180,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f181,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3) ),
    inference(flattening,[],[f180]) ).

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

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

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

fof(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,X10] :
      ( ~ perp(X6,X1,X1,X7)
      & eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
      & eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
      & eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
      & perp(X1,X3,X1,X4)
      & perp(X2,X3,X2,X5)
      & coll(X4,X2,X3)
      & coll(X5,X1,X3)
      & midp(X6,X5,X4)
      & midp(X8,X1,X3)
      & perp(X1,X3,X8,X7)
      & midp(X9,X1,X2)
      & perp(X1,X2,X9,X7)
      & midp(X10,X3,X2)
      & perp(X3,X2,X10,X7) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f250,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ perp(X6,X1,X1,X7)
      & eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
      & eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
      & eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
      & perp(X1,X3,X1,X4)
      & perp(X2,X3,X2,X5)
      & coll(X4,X2,X3)
      & coll(X5,X1,X3)
      & midp(X6,X5,X4)
      & midp(X8,X1,X3)
      & perp(X1,X3,X8,X7)
      & midp(X9,X1,X2)
      & perp(X1,X2,X9,X7)
      & midp(X10,X3,X2)
      & perp(X3,X2,X10,X7) ),
    inference(flattening,[],[f249]) ).

fof(f270,plain,
    ( ~ perp(sK26,sK21,sK21,sK27)
    & eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22)
    & eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20)
    & eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21)
    & perp(sK21,sK23,sK21,sK24)
    & perp(sK22,sK23,sK22,sK25)
    & coll(sK24,sK22,sK23)
    & coll(sK25,sK21,sK23)
    & midp(sK26,sK25,sK24)
    & midp(sK28,sK21,sK23)
    & perp(sK21,sK23,sK28,sK27)
    & midp(sK29,sK21,sK22)
    & perp(sK21,sK22,sK29,sK27)
    & midp(sK30,sK23,sK22)
    & perp(sK23,sK22,sK30,sK27) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30]),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),skolemize(X10,sK30)],[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(f287,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f288,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f289,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    inference(cnf_transformation,[],[f123]) ).

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

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

fof(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(f327,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f181]) ).

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

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

fof(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(f384,plain,
    perp(sK23,sK22,sK30,sK27),
    inference(cnf_transformation,[],[f270]) ).

fof(f398,plain,
    ~ perp(sK26,sK21,sK21,sK27),
    inference(cnf_transformation,[],[f270]) ).

fof(f434,plain,
    perp(sK30,sK27,sK23,sK22),
    inference(resolution,[],[f278,f384]) ).

fof(f558,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK23,sK22)
      | para(X0,X1,sK30,sK27) ),
    inference(resolution,[],[f279,f384]) ).

fof(f627,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X0,X1,X1,X2,X3,X0,X3,X2)
      | ~ cyclic(X0,X2,X1,X3) ),
    inference(resolution,[],[f288,f311]) ).

fof(f638,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(f639,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
      | ~ cyclic(X2,X1,X0,X3) ),
    inference(resolution,[],[f289,f311]) ).

fof(f663,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(f698,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(f1531,plain,
    para(sK30,sK27,sK30,sK27),
    inference(resolution,[],[f558,f434]) ).

fof(f1855,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X3,X0,X3,X1,X0,X2,X2,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f627,f290]) ).

fof(f1915,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | para(X2,X3,X2,X3) ),
    inference(resolution,[],[f638,f309]) ).

fof(f1954,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X2,X1,X3,X1,X2,X0,X3,X0)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f639,f291]) ).

fof(f2116,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | ~ coll(X0,X2,X1) ),
    inference(resolution,[],[f663,f313]) ).

fof(f2117,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | coll(X0,X2,X1) ),
    inference(resolution,[],[f663,f312]) ).

fof(f2127,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2) ),
    inference(forward_subsumption_resolution,[],[f2116,f2117]) ).

fof(f2514,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,[],[f698,f346]) ).

fof(f12713,plain,
    ! [X0,X1] : para(X0,X1,X0,X1),
    inference(resolution,[],[f1915,f1531]) ).

fof(f12815,plain,
    ! [X0,X1] : coll(X0,X1,X1),
    inference(resolution,[],[f12713,f337]) ).

fof(f12816,plain,
    ! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
    inference(resolution,[],[f12713,f2127]) ).

fof(f12857,plain,
    ! [X0,X1] : coll(X0,X1,X0),
    inference(resolution,[],[f12815,f272]) ).

fof(f12932,plain,
    ! [X0,X1] : coll(X0,X0,X1),
    inference(resolution,[],[f12857,f271]) ).

fof(f13005,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X0,X1)
      | coll(X1,X2,X0) ),
    inference(resolution,[],[f12932,f273]) ).

fof(f13017,plain,
    ! [X2,X0,X1] : coll(X1,X2,X0),
    inference(forward_subsumption_resolution,[],[f13005,f12932]) ).

fof(f14386,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X0,X1,X2)
      | cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f12816,f287]) ).

fof(f14419,plain,
    ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
    inference(forward_subsumption_resolution,[],[f14386,f12816]) ).

fof(f14793,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | ~ cyclic(X0,X1,X2,X0)
      | ~ cyclic(X0,X1,X2,X1)
      | ~ cyclic(X0,X1,X2,X0)
      | cong(X0,X1,X0,X1) ),
    inference(resolution,[],[f1855,f314]) ).

fof(f14804,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | ~ cyclic(X0,X1,X2,X0)
      | ~ cyclic(X0,X1,X2,X1)
      | cong(X0,X1,X0,X1) ),
    inference(duplicate_literal_removal,[],[f14793]) ).

fof(f14805,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | ~ cyclic(X0,X1,X2,X0)
      | cong(X0,X1,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f14804,f14419]) ).

fof(f14818,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | cong(X0,X1,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f14805,f14419]) ).

fof(f14820,plain,
    ! [X0,X1] : cong(X0,X1,X0,X1),
    inference(forward_subsumption_resolution,[],[f14818,f14419]) ).

fof(f14823,plain,
    ! [X0,X1] :
      ( midp(X0,X1,X1)
      | ~ coll(X0,X1,X1) ),
    inference(resolution,[],[f14820,f338]) ).

fof(f14887,plain,
    ! [X0,X1] : midp(X0,X1,X1),
    inference(forward_subsumption_resolution,[],[f14823,f13017]) ).

fof(f15896,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X2)
      | ~ cyclic(X1,X1,X2,X0)
      | ~ cyclic(X1,X1,X2,X0)
      | ~ cyclic(X1,X1,X2,X2)
      | cong(X1,X1,X0,X0) ),
    inference(resolution,[],[f1954,f314]) ).

fof(f15909,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X2)
      | ~ cyclic(X1,X1,X2,X0)
      | ~ cyclic(X1,X1,X2,X2)
      | cong(X1,X1,X0,X0) ),
    inference(duplicate_literal_removal,[],[f15896]) ).

fof(f15910,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X2)
      | ~ cyclic(X1,X1,X2,X0)
      | cong(X1,X1,X0,X0) ),
    inference(forward_subsumption_resolution,[],[f15909,f14419]) ).

fof(f15920,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X2)
      | cong(X1,X1,X0,X0) ),
    inference(forward_subsumption_resolution,[],[f15910,f14419]) ).

fof(f15925,plain,
    ! [X0,X1] : cong(X1,X1,X0,X0),
    inference(forward_subsumption_resolution,[],[f15920,f14419]) ).

fof(f24070,plain,
    ! [X2,X3,X0,X1] :
      ( ~ midp(X0,X1,X1)
      | cong(X2,X3,X0,X1)
      | ~ midp(X2,X3,X3) ),
    inference(resolution,[],[f2514,f15925]) ).

fof(f24216,plain,
    ! [X2,X3,X0,X1] :
      ( ~ midp(X0,X1,X1)
      | cong(X2,X3,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f24070,f14887]) ).

fof(f24241,plain,
    ! [X2,X3,X0,X1] : cong(X2,X3,X0,X1),
    inference(forward_subsumption_resolution,[],[f24216,f14887]) ).

fof(f24281,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X1,X2,X1)
      | perp(X0,X2,X1,X3) ),
    inference(resolution,[],[f24241,f327]) ).

fof(f24316,plain,
    ! [X2,X3,X0,X1] : perp(X0,X2,X1,X3),
    inference(forward_subsumption_resolution,[],[f24281,f24241]) ).

fof(f25532,plain,
    $false,
    inference(resolution,[],[f24316,f398]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : GEO605+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.33  % Computer : n012.cluster.edu
% 0.04/0.33  % Model    : x86_64 x86_64
% 0.04/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.33  % Memory   : 8046.5625MB
% 0.04/0.33  % OS       : Linux 6.8.0-71-generic
% 0.04/0.33  % CPULimit : 300
% 0.04/0.33  % WCLimit  : 300
% 0.04/0.33  % DateTime : Sun Sep 27 08:37:34 UTC 2026
% 0.04/0.33  % CPUTime  : 
% 0.04/0.33  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.34  Running first-order model finding
% 0.04/0.34  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
% 4.56/1.09  % (2066339)Will run a generic schedule for satisfiability detection.
% 4.56/1.09  % (2066345)% WARNING: option uhcvi not known.
% 4.56/1.09  % (2066350)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1573867743:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.56/1.09  % (2066344)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2906209259_2999 on theBenchmark for (2999ds/0Mi)
% 4.56/1.09  % (2066345)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3760950102:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.56/1.09  % (2066346)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2684915069:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.56/1.09  % (2066347)dis+10_1_sil=32000:sp=arity:random_seed=367041829:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.56/1.09  % (2066348)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3619072346:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.56/1.09  % (2066349)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1729921928:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.56/1.09  % TRYING [1]
% 4.56/1.09  % TRYING [2]
% 4.56/1.09  % TRYING [3]
% 4.56/1.09  % (2066347)Instruction limit reached! 
% 4.56/1.09  % (2066347)------------------------------
% 4.56/1.09  % (2066347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.09  % (2066347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.09  % (2066347)CaDiCaL version: 2.1.3
% 4.56/1.09  % (2066347)Termination reason: Instruction limit
% 4.56/1.09  % (2066347)Termination phase: Saturation
% 4.56/1.09  % (2066347)Time elapsed: 0.038 s
% 4.56/1.09  % (2066347)Peak memory usage: 13 MB
% 4.56/1.09  % (2066347)Instructions burned: 107 (million)
% 4.56/1.09  % (2066348)Instruction limit reached! 
% 4.56/1.09  % (2066348)------------------------------
% 4.56/1.09  % (2066348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.09  % (2066348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.09  % (2066348)CaDiCaL version: 2.1.3
% 4.56/1.09  % (2066348)Termination reason: Instruction limit
% 4.56/1.09  % (2066348)Termination phase: Saturation
% 4.56/1.09  % (2066348)Time elapsed: 0.038 s
% 4.56/1.09  % (2066348)Peak memory usage: 13 MB
% 4.56/1.09  % (2066348)Instructions burned: 121 (million)
% 4.56/1.09  % (2066349)Instruction limit reached! 
% 4.56/1.09  % (2066349)------------------------------
% 4.56/1.09  % (2066349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.09  % (2066349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.09  % (2066349)CaDiCaL version: 2.1.3
% 4.56/1.09  % (2066349)Termination reason: Instruction limit
% 4.56/1.09  % (2066349)Termination phase: Saturation
% 4.56/1.09  % (2066349)Time elapsed: 0.044 s
% 4.56/1.09  % (2066349)Peak memory usage: 14 MB
% 4.56/1.09  % (2066349)Instructions burned: 133 (million)
% 4.56/1.09  % (2066358)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1940865994:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.56/1.09  % (2066359)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3816679033:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.56/1.09  % (2066350)Instruction limit reached! 
% 4.56/1.09  % (2066350)------------------------------
% 4.56/1.09  % (2066350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.09  % (2066350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.09  % (2066350)CaDiCaL version: 2.1.3
% 4.56/1.09  % (2066350)Termination reason: Instruction limit
% 4.56/1.09  % (2066350)Termination phase: Saturation
% 4.56/1.09  % (2066350)Time elapsed: 0.055 s
% 4.56/1.09  % (2066350)Peak memory usage: 14 MB
% 4.56/1.09  % (2066350)Instructions burned: 160 (million)
% 4.56/1.09  % (2066360)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=2565272795:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.56/1.09  % TRYING [1]
% 4.56/1.09  % TRYING [2]
% 4.56/1.09  % (2066364)ott-21_1_sil=16000:fs=off:random_seed=3699107480:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 4.56/1.09  % TRYING [3]
% 4.56/1.09  % (2066359)Instruction limit reached! 
% 4.56/1.09  % (2066359)------------------------------
% 4.56/1.09  % (2066359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.56/1.09  % (2066359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.00  % (2066359)CaDiCaL version: 2.1.3
% 10.01/2.00  % (2066359)Termination reason: Instruction limit
% 10.01/2.00  % (2066359)Termination phase: Saturation
% 10.01/2.00  % (2066359)Time elapsed: 0.044 s
% 10.01/2.00  % (2066359)Peak memory usage: 14 MB
% 10.01/2.00  % (2066359)Instructions burned: 131 (million)
% 10.01/2.00  % (2066366)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3971638021:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 10.01/2.00  % (2066364)Instruction limit reached! 
% 10.01/2.00  % (2066364)------------------------------
% 10.01/2.00  % (2066364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/2.00  % (2066364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.00  % (2066364)CaDiCaL version: 2.1.3
% 10.01/2.00  % (2066364)Termination reason: Instruction limit
% 10.01/2.00  % (2066364)Termination phase: Saturation
% 10.01/2.00  % (2066364)Time elapsed: 0.052 s
% 10.01/2.00  % (2066364)Peak memory usage: 13 MB
% 10.01/2.00  % (2066364)Instructions burned: 181 (million)
% 10.01/2.00  % (2066368)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1651181675:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 10.01/2.00  % TRYING [1]
% 10.01/2.00  % TRYING [2]
% 10.01/2.00  % TRYING [3]
% 10.01/2.00  % (2066358)Instruction limit reached! 
% 10.01/2.00  % (2066358)------------------------------
% 10.01/2.00  % (2066358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/2.00  % (2066358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.00  % (2066358)CaDiCaL version: 2.1.3
% 10.01/2.00  % (2066358)Termination reason: Instruction limit
% 10.01/2.00  % (2066358)Termination phase: Finite model building constraint generation
% 10.01/2.00  % (2066358)Time elapsed: 0.134 s
% 10.01/2.00  % (2066358)Peak memory usage: 24 MB
% 10.01/2.00  % (2066358)Instructions burned: 717 (million)
% 10.01/2.00  % (2066370)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2228117529:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 10.01/2.00  % (2066366)Instruction limit reached! 
% 10.01/2.00  % (2066366)------------------------------
% 10.01/2.00  % (2066366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/2.00  % (2066366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.00  % (2066366)CaDiCaL version: 2.1.3
% 10.01/2.00  % (2066366)Termination reason: Instruction limit
% 10.01/2.00  % (2066366)Termination phase: Saturation
% 10.01/2.00  % (2066366)Time elapsed: 0.151 s
% 10.01/2.00  % (2066366)Peak memory usage: 15 MB
% 10.01/2.00  % (2066366)Instructions burned: 477 (million)
% 10.01/2.00  % (2066372)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1710462292:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 10.01/2.00  % (2066372)Cannot represent all propositional literals internally
% 10.01/2.00  % (2066372)Refutation not found, incomplete strategy
% 10.01/2.00  % (2066372)------------------------------
% 10.01/2.00  % (2066372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/2.00  % (2066372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.00  % (2066372)CaDiCaL version: 2.1.3
% 10.01/2.00  % (2066372)Termination reason: Refutation not found, incomplete strategy
% 10.01/2.00  % (2066372)Time elapsed: 0.003 s
% 10.01/2.00  % (2066372)Peak memory usage: 10 MB
% 10.01/2.00  % (2066372)Instructions burned: 13 (million)
% 10.01/2.00  % (2066360)Instruction limit reached! 
% 10.01/2.00  % (2066360)------------------------------
% 10.01/2.00  % (2066360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/2.00  % (2066360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.00  % (2066360)CaDiCaL version: 2.1.3
% 10.01/2.00  % (2066360)Termination reason: Instruction limit
% 10.01/2.00  % (2066360)Termination phase: Saturation
% 10.01/2.00  % (2066360)Time elapsed: 0.217 s
% 10.01/2.00  % (2066360)Peak memory usage: 18 MB
% 10.01/2.00  % (2066360)Instructions burned: 686 (million)
% 10.01/2.00  % (2066372)------------------------------
% 10.01/2.00  % (2066372)------------------------------
% 10.01/2.00  % (2066375)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3812127791:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 10.01/2.00  % (2066374)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=1217017076:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 10.01/2.00  % (2066368)Instruction limit reached! 
% 10.01/2.00  % (2066368)------------------------------
% 10.01/2.00  % (2066368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/2.00  % (2066368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.00  % (2066368)CaDiCaL version: 2.1.3
% 10.01/2.00  % (2066368)Termination reason: Instruction limit
% 10.01/2.00  % (2066368)Termination phase: Finite model building constraint generation
% 10.01/2.00  % (2066368)Time elapsed: 0.163 s
% 10.01/2.00  % (2066368)Peak memory usage: 50 MB
% 10.01/2.00  % (2066368)Instructions burned: 869 (million)
% 10.01/2.00  % (2066378)fmb+10_1_sil=64000:random_seed=3084369556:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 10.01/2.00  % TRYING [1]
% 10.01/2.00  % TRYING [2]
% 10.01/2.00  % TRYING [3]
% 10.01/2.00  % (2066374)Instruction limit reached! 
% 10.01/2.00  % (2066374)------------------------------
% 10.01/2.00  % (2066374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/2.00  % (2066374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.00  % (2066374)CaDiCaL version: 2.1.3
% 10.01/2.00  % (2066374)Termination reason: Instruction limit
% 10.01/2.00  % (2066374)Termination phase: Saturation
% 10.01/2.00  % (2066374)Time elapsed: 0.229 s
% 10.01/2.00  % (2066374)Peak memory usage: 18 MB
% 10.01/2.00  % (2066374)Instructions burned: 693 (million)
% 10.01/2.00  % (2066380)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2325750267:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 10.01/2.00  % (2066380)Cannot represent all propositional literals internally
% 10.01/2.00  % (2066380)Refutation not found, incomplete strategy
% 10.01/2.00  % (2066380)------------------------------
% 10.01/2.00  % (2066380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/2.00  % (2066380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.00  % (2066380)CaDiCaL version: 2.1.3
% 10.01/2.00  % (2066380)Termination reason: Refutation not found, incomplete strategy
% 10.01/2.00  % (2066380)Time elapsed: 0.003 s
% 10.01/2.00  % (2066380)Peak memory usage: 10 MB
% 10.01/2.00  % (2066380)Instructions burned: 13 (million)
% 10.01/2.00  % (2066380)------------------------------
% 10.01/2.00  % (2066380)------------------------------
% 10.01/2.00  % (2066375)Instruction limit reached! 
% 10.01/2.00  % (2066375)------------------------------
% 10.01/2.00  % (2066375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/2.00  % (2066375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.00  % (2066375)CaDiCaL version: 2.1.3
% 10.01/2.00  % (2066375)Termination reason: Instruction limit
% 10.01/2.00  % (2066375)Termination phase: Saturation
% 10.01/2.00  % (2066375)Time elapsed: 0.251 s
% 10.01/2.00  % (2066375)Peak memory usage: 18 MB
% 10.01/2.00  % (2066375)Instructions burned: 881 (million)
% 10.01/2.00  % (2066382)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4209018891:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 10.01/2.00  % TRYING [8]
% 10.01/2.00  % (2066383)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=917325280:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 10.01/2.00  % (2066370)Instruction limit reached! 
% 10.01/2.00  % (2066370)------------------------------
% 10.01/2.00  % (2066370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/2.00  % (2066370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.00  % (2066370)CaDiCaL version: 2.1.3
% 10.01/2.00  % (2066370)Termination reason: Instruction limit
% 10.01/2.00  % (2066370)Termination phase: Saturation
% 10.01/2.00  % (2066370)Time elapsed: 0.387 s
% 10.01/2.00  % (2066370)Peak memory usage: 28 MB
% 10.01/2.00  % (2066370)Instructions burned: 1182 (million)
% 10.01/2.00  % (2066386)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3615085986:i=1472:ins=7:fdi=8:gsp=on_2993 on theBenchmark for (2993ds/1472Mi)
% 10.01/2.00  % (2066382)Instruction limit reached! 
% 10.01/2.00  % (2066382)------------------------------
% 10.01/2.00  % (2066382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/2.00  % (2066382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.00  % (2066382)CaDiCaL version: 2.1.3
% 10.01/2.00  % (2066382)Termination reason: Instruction limit
% 10.01/2.00  % (2066382)Termination phase: Finite model building constraint generation
% 10.01/2.00  % (2066382)Time elapsed: 0.160 s
% 10.01/2.00  % (2066382)Peak memory usage: 46 MB
% 10.01/2.00  % (2066382)Instructions burned: 925 (million)
% 10.01/2.00  % (2066388)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=689580812:i=6324_2992 on theBenchmark for (2992ds/6324Mi)
% 10.01/2.00  % (2066388)Cannot represent all propositional literals internally
% 10.01/2.00  % (2066388)Refutation not found, incomplete strategy
% 10.01/2.00  % (2066388)------------------------------
% 10.01/2.00  % (2066388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/2.00  % (2066388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.00  % (2066388)CaDiCaL version: 2.1.3
% 10.01/2.00  % (2066388)Termination reason: Refutation not found, incomplete strategy
% 10.01/2.00  % (2066388)Time elapsed: 0.004 s
% 10.01/2.00  % (2066388)Peak memory usage: 11 MB
% 10.01/2.00  % (2066388)Instructions burned: 16 (million)
% 10.01/2.00  % (2066388)------------------------------
% 10.01/2.00  % (2066388)------------------------------
% 10.01/2.00  % (2066390)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2110165462:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 10.01/2.00  % (2066390)Cannot represent all propositional literals internally
% 10.01/2.00  % (2066390)Refutation not found, incomplete strategy
% 10.01/2.00  % (2066390)------------------------------
% 10.01/2.00  % (2066390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/2.00  % (2066390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.00  % (2066390)CaDiCaL version: 2.1.3
% 10.01/2.00  % (2066390)Termination reason: Refutation not found, incomplete strategy
% 10.01/2.00  % (2066390)Time elapsed: 0.044 s
% 10.01/2.00  % (2066390)Peak memory usage: 12 MB
% 10.01/2.00  % (2066390)Instructions burned: 167 (million)
% 10.01/2.00  % (2066390)------------------------------
% 10.01/2.00  % (2066390)------------------------------
% 10.01/2.00  % (2066392)ott-2_1_sil=16000:newcnf=on:random_seed=44307194:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2991 on theBenchmark for (2991ds/869Mi)
% 10.01/2.00  % (2066392)Instruction limit reached! 
% 10.01/2.00  % (2066392)------------------------------
% 10.01/2.00  % (2066392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/2.00  % (2066392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.00  % (2066392)CaDiCaL version: 2.1.3
% 10.01/2.00  % (2066392)Termination reason: Instruction limit
% 10.01/2.00  % (2066392)Termination phase: Saturation
% 10.01/2.00  % (2066392)Time elapsed: 0.305 s
% 10.01/2.00  % (2066392)Peak memory usage: 20 MB
% 10.01/2.00  % (2066392)Instructions burned: 872 (million)
% 10.01/2.00  % (2066394)ott+10_1_sil=32000:tgt=ground:random_seed=1299147395:i=5114:av=off_2988 on theBenchmark for (2988ds/5114Mi)
% 10.01/2.00  % (2066386)Instruction limit reached! 
% 10.01/2.00  % (2066386)------------------------------
% 10.01/2.00  % (2066386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/2.00  % (2066386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.00  % (2066386)CaDiCaL version: 2.1.3
% 10.01/2.00  % (2066386)Termination reason: Instruction limit
% 10.01/2.00  % (2066386)Termination phase: Saturation
% 10.01/2.00  % (2066386)Time elapsed: 0.549 s
% 10.01/2.00  % (2066386)Peak memory usage: 33 MB
% 10.01/2.00  % (2066386)Instructions burned: 1473 (million)
% 10.01/2.00  % (2066396)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=846047932:i=54282_2988 on theBenchmark for (2988ds/54282Mi)
% 10.01/2.00  % TRYING [1]
% 10.01/2.00  % TRYING [2]
% 10.01/2.00  % TRYING [3]
% 10.01/2.00  % TRYING [4]
% 10.01/2.00  % (2066394) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2066339-2066394"...
% 10.01/2.00  % (2066394)...printing done.
% 10.01/2.00  % (2066394)Refutation found. Thanks to Tanya!
% 10.01/2.00  % SZS status Theorem for theBenchmark
% 10.01/2.00  % SZS output start Proof for theBenchmark
% See solution above
% 10.01/2.00  % (2066394)------------------------------
% 10.01/2.00  % (2066394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.01/2.00  % (2066394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.00  % (2066394)CaDiCaL version: 2.1.3
% 10.01/2.00  % (2066394)Termination reason: Refutation
% 10.01/2.00  % (2066394)Time elapsed: 0.489 s
% 10.01/2.00  % (2066394)Peak memory usage: 26 MB
% 10.01/2.00  % (2066394)Instructions burned: 1379 (million)
% 10.01/2.00  % (2066339)Success in time 1.65 s
% 10.01/2.00  % Vampire exiting
%------------------------------------------------------------------------------