↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO639+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 : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:54:56 AM UTC 2026

% Result   : Theorem 8.28s 3.33s
% Output   : Refutation 8.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  201 (  43 unt;   0 def)
%            Number of atoms       :  514 (   0 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  507 ( 194   ~; 195   |;  84   &)
%                                         (   0 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   33 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-8 aty)
%            Number of functors    :   16 (  16 usr;  16 con; 0-0 aty)
%            Number of variables   :  789 ( 757   !;  32   ?)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(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,X11,X12,X13,X14,X15] :
      ( ( ( cong(X2,X0,X0,X1)
          | cong(X2,X0,X2,X1) )
        & perp(X0,X2,X0,X3)
        & perp(X1,X2,X1,X3)
        & circle(X3,X0,X9,X10)
        & coll(X4,X2,X3)
        & circle(X3,X0,X4,X11)
        & midp(X5,X4,X2)
        & circle(X5,X4,X12,X13)
        & coll(X6,X0,X2)
        & circle(X5,X4,X6,X14)
        & coll(X7,X1,X2)
        & circle(X5,X4,X7,X15)
        & coll(X8,X0,X1)
        & coll(X8,X2,X3) )
     => eqangle(X2,X6,X6,X8,X8,X6,X6,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL81109105) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
        ( ( ( cong(X2,X0,X0,X1)
            | cong(X2,X0,X2,X1) )
          & perp(X0,X2,X0,X3)
          & perp(X1,X2,X1,X3)
          & circle(X3,X0,X9,X10)
          & coll(X4,X2,X3)
          & circle(X3,X0,X4,X11)
          & midp(X5,X4,X2)
          & circle(X5,X4,X12,X13)
          & coll(X6,X0,X2)
          & circle(X5,X4,X6,X14)
          & coll(X7,X1,X2)
          & circle(X5,X4,X7,X15)
          & coll(X8,X0,X1)
          & coll(X8,X2,X3) )
       => eqangle(X2,X6,X6,X8,X8,X6,X6,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(f102,plain,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X3,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f4]) ).

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

fof(f106,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X3,X2)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f7]) ).

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

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

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

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

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

fof(f120,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4) ),
    inference(ennf_transformation,[],[f17]) ).

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

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

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

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

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

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

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

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

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

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

fof(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,X11,X12,X13,X14,X15] :
      ( ~ eqangle(X2,X6,X6,X8,X8,X6,X6,X7)
      & ( cong(X2,X0,X0,X1)
        | cong(X2,X0,X2,X1) )
      & perp(X0,X2,X0,X3)
      & perp(X1,X2,X1,X3)
      & circle(X3,X0,X9,X10)
      & coll(X4,X2,X3)
      & circle(X3,X0,X4,X11)
      & midp(X5,X4,X2)
      & circle(X5,X4,X12,X13)
      & coll(X6,X0,X2)
      & circle(X5,X4,X6,X14)
      & coll(X7,X1,X2)
      & circle(X5,X4,X7,X15)
      & coll(X8,X0,X1)
      & coll(X8,X2,X3) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f250,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ eqangle(X2,X6,X6,X8,X8,X6,X6,X7)
      & ( cong(X2,X0,X0,X1)
        | cong(X2,X0,X2,X1) )
      & perp(X0,X2,X0,X3)
      & perp(X1,X2,X1,X3)
      & circle(X3,X0,X9,X10)
      & coll(X4,X2,X3)
      & circle(X3,X0,X4,X11)
      & midp(X5,X4,X2)
      & circle(X5,X4,X12,X13)
      & coll(X6,X0,X2)
      & circle(X5,X4,X6,X14)
      & coll(X7,X1,X2)
      & circle(X5,X4,X7,X15)
      & coll(X8,X0,X1)
      & coll(X8,X2,X3) ),
    inference(flattening,[],[f249]) ).

fof(f270,plain,
    ( ~ eqangle(sK22,sK26,sK26,sK28,sK28,sK26,sK26,sK27)
    & ( cong(sK22,sK20,sK20,sK21)
      | cong(sK22,sK20,sK22,sK21) )
    & perp(sK20,sK22,sK20,sK23)
    & perp(sK21,sK22,sK21,sK23)
    & circle(sK23,sK20,sK29,sK30)
    & coll(sK24,sK22,sK23)
    & circle(sK23,sK20,sK24,sK31)
    & midp(sK25,sK24,sK22)
    & circle(sK25,sK24,sK32,sK33)
    & coll(sK26,sK20,sK22)
    & circle(sK25,sK24,sK26,sK34)
    & coll(sK27,sK21,sK22)
    & circle(sK25,sK24,sK27,sK35)
    & coll(sK28,sK20,sK21)
    & coll(sK28,sK22,sK23) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35]),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),skolemize(X11,sK31),skolemize(X12,sK32),skolemize(X13,sK33),skolemize(X14,sK34),skolemize(X15,sK35)],[f250]) ).

fof(f271,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X0,X2,X1) ),
    inference(cnf_transformation,[],[f98]) ).

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

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

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

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

fof(f277,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f106]) ).

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

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

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

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

fof(f287,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f121]) ).

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

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

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

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

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

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

fof(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(f393,plain,
    coll(sK24,sK22,sK23),
    inference(cnf_transformation,[],[f270]) ).

fof(f396,plain,
    perp(sK20,sK22,sK20,sK23),
    inference(cnf_transformation,[],[f270]) ).

fof(f398,plain,
    ~ eqangle(sK22,sK26,sK26,sK28,sK28,sK26,sK26,sK27),
    inference(cnf_transformation,[],[f270]) ).

fof(f428,plain,
    perp(sK20,sK22,sK23,sK20),
    inference(resolution,[],[f277,f396]) ).

fof(f432,plain,
    perp(sK20,sK23,sK20,sK22),
    inference(resolution,[],[f278,f396]) ).

fof(f457,plain,
    ! [X0] :
      ( ~ coll(sK24,sK22,X0)
      | coll(X0,sK23,sK24) ),
    inference(resolution,[],[f273,f393]) ).

fof(f517,plain,
    ! [X0,X1] :
      ( ~ cong(X0,X0,X0,X1)
      | para(X0,X0,X0,X1) ),
    inference(resolution,[],[f317,f309]) ).

fof(f542,plain,
    perp(sK23,sK20,sK20,sK22),
    inference(resolution,[],[f428,f278]) ).

fof(f548,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK20,sK22)
      | para(X0,X1,sK20,sK23) ),
    inference(resolution,[],[f279,f396]) ).

fof(f550,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK20,sK22)
      | para(X0,X1,sK23,sK20) ),
    inference(resolution,[],[f279,f428]) ).

fof(f589,plain,
    ! [X2,X0,X1] :
      ( ~ cong(X0,X1,X0,X1)
      | perp(X0,X0,X1,X2)
      | ~ midp(X0,X2,X2) ),
    inference(resolution,[],[f327,f339]) ).

fof(f631,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(f635,plain,
    coll(sK23,sK23,sK24),
    inference(resolution,[],[f457,f393]) ).

fof(f640,plain,
    ! [X2,X0,X1] :
      ( eqangle(X0,X1,X2,X1,X2,X0,X0,X1)
      | ~ cong(X2,X0,X2,X1) ),
    inference(resolution,[],[f290,f317]) ).

fof(f644,plain,
    coll(sK23,sK24,sK23),
    inference(resolution,[],[f635,f271]) ).

fof(f645,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(f649,plain,
    ! [X0] :
      ( ~ coll(sK23,sK24,X0)
      | coll(X0,sK23,sK23) ),
    inference(resolution,[],[f644,f273]) ).

fof(f668,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(f980,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(f1062,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(f1068,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,[],[f1062]) ).

fof(f1249,plain,
    para(sK23,sK20,sK20,sK23),
    inference(resolution,[],[f548,f542]) ).

fof(f1250,plain,
    para(sK20,sK23,sK20,sK23),
    inference(resolution,[],[f548,f432]) ).

fof(f1386,plain,
    para(sK23,sK20,sK23,sK20),
    inference(resolution,[],[f1249,f274]) ).

fof(f1665,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X2,X2)
      | perp(X0,X0,X1,X2)
      | ~ midp(X0,X1,X1) ),
    inference(resolution,[],[f589,f339]) ).

fof(f1756,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | para(X2,X3,X2,X3) ),
    inference(resolution,[],[f631,f309]) ).

fof(f1895,plain,
    ! [X0,X1] :
      ( ~ cong(X0,X0,X0,X1)
      | para(X0,X1,X0,X0) ),
    inference(resolution,[],[f640,f309]) ).

fof(f1938,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | ~ coll(X0,X2,X1) ),
    inference(resolution,[],[f645,f313]) ).

fof(f1939,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | coll(X0,X2,X1) ),
    inference(resolution,[],[f645,f312]) ).

fof(f1949,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2) ),
    inference(forward_subsumption_resolution,[],[f1938,f1939]) ).

fof(f2281,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,[],[f668,f346]) ).

fof(f3550,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,[],[f980,f631]) ).

fof(f7085,plain,
    coll(sK23,sK23,sK23),
    inference(resolution,[],[f649,f644]) ).

fof(f12854,plain,
    ! [X0,X1] : para(X0,X1,X0,X1),
    inference(resolution,[],[f1756,f1386]) ).

fof(f12856,plain,
    ! [X0,X1] : coll(X0,X1,X1),
    inference(resolution,[],[f12854,f337]) ).

fof(f12861,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X1,X1)
      | ~ para(X1,X2,X1,X2)
      | midp(X0,X2,X2) ),
    inference(resolution,[],[f12854,f335]) ).

fof(f12890,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X1,X1)
      | midp(X0,X2,X2) ),
    inference(forward_subsumption_resolution,[],[f12861,f12854]) ).

fof(f12895,plain,
    ! [X0,X1] : coll(X0,X1,X0),
    inference(resolution,[],[f12856,f272]) ).

fof(f13061,plain,
    ! [X0,X1] : coll(X0,X0,X1),
    inference(resolution,[],[f12895,f271]) ).

fof(f13200,plain,
    ! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
    inference(resolution,[],[f1949,f12854]) ).

fof(f13203,plain,
    ! [X0] : cyclic(sK23,sK23,sK20,X0),
    inference(resolution,[],[f1949,f1250]) ).

fof(f13212,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X0,X1)
      | coll(X1,X2,X0) ),
    inference(resolution,[],[f13061,f273]) ).

fof(f13249,plain,
    ! [X2,X0,X1] : coll(X1,X2,X0),
    inference(forward_subsumption_resolution,[],[f13212,f13061]) ).

fof(f15164,plain,
    ! [X0] : cyclic(sK23,sK20,sK23,X0),
    inference(resolution,[],[f13203,f285]) ).

fof(f15166,plain,
    ! [X0,X1] :
      ( ~ cyclic(sK23,sK23,sK20,X0)
      | cyclic(sK23,sK20,X0,X1) ),
    inference(resolution,[],[f13203,f287]) ).

fof(f15175,plain,
    ( ~ cyclic(sK23,sK23,sK20,sK23)
    | ~ cyclic(sK23,sK23,sK20,sK23)
    | cong(sK23,sK23,sK23,sK23) ),
    inference(resolution,[],[f13203,f1068]) ).

fof(f15181,plain,
    ( ~ cyclic(sK23,sK23,sK20,sK23)
    | cong(sK23,sK23,sK23,sK23) ),
    inference(duplicate_literal_removal,[],[f15175]) ).

fof(f15182,plain,
    cong(sK23,sK23,sK23,sK23),
    inference(forward_subsumption_resolution,[],[f15181,f13200]) ).

fof(f15186,plain,
    ! [X0,X1] : cyclic(sK23,sK20,X0,X1),
    inference(forward_subsumption_resolution,[],[f15166,f13200]) ).

fof(f15608,plain,
    ( ~ cyclic(sK23,sK20,sK23,sK20)
    | ~ cyclic(sK23,sK20,sK23,sK23)
    | cong(sK23,sK20,sK23,sK20) ),
    inference(resolution,[],[f15164,f1068]) ).

fof(f15621,plain,
    ( ~ cyclic(sK23,sK20,sK23,sK20)
    | cong(sK23,sK20,sK23,sK20) ),
    inference(forward_subsumption_resolution,[],[f15608,f15164]) ).

fof(f15627,plain,
    cong(sK23,sK20,sK23,sK20),
    inference(forward_subsumption_resolution,[],[f15621,f15164]) ).

fof(f15688,plain,
    ( midp(sK23,sK23,sK23)
    | ~ coll(sK23,sK23,sK23) ),
    inference(resolution,[],[f15182,f338]) ).

fof(f15715,plain,
    midp(sK23,sK23,sK23),
    inference(forward_subsumption_resolution,[],[f15688,f7085]) ).

fof(f15927,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(sK23,sK20,X0,X1)
      | cyclic(sK20,X0,X1,X2) ),
    inference(resolution,[],[f15186,f287]) ).

fof(f15949,plain,
    ! [X2,X0,X1] : cyclic(sK20,X0,X1,X2),
    inference(forward_subsumption_resolution,[],[f15927,f15186]) ).

fof(f17081,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(sK20,X0,X1,X2)
      | cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f15949,f287]) ).

fof(f17112,plain,
    ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
    inference(forward_subsumption_resolution,[],[f17081,f15949]) ).

fof(f17583,plain,
    ! [X0,X1] :
      ( ~ cyclic(X0,X0,X1,X0)
      | ~ cyclic(X0,X0,X1,X0)
      | cong(X0,X0,X0,X0) ),
    inference(resolution,[],[f13200,f1068]) ).

fof(f17599,plain,
    ! [X0,X1] :
      ( ~ cyclic(X0,X0,X1,X0)
      | cong(X0,X0,X0,X0) ),
    inference(duplicate_literal_removal,[],[f17583]) ).

fof(f17606,plain,
    ! [X0] : cong(X0,X0,X0,X0),
    inference(forward_subsumption_resolution,[],[f17599,f17112]) ).

fof(f19311,plain,
    ! [X0] :
      ( midp(X0,X0,X0)
      | ~ coll(X0,X0,X0) ),
    inference(resolution,[],[f17606,f338]) ).

fof(f19351,plain,
    ! [X0] : midp(X0,X0,X0),
    inference(forward_subsumption_resolution,[],[f19311,f13249]) ).

fof(f23122,plain,
    ! [X0,X1] : midp(X0,X1,X1),
    inference(resolution,[],[f12890,f19351]) ).

fof(f23144,plain,
    ! [X0] : midp(sK23,X0,X0),
    inference(resolution,[],[f12890,f15715]) ).

fof(f23186,plain,
    ! [X0,X1] :
      ( perp(sK23,sK23,X0,X1)
      | ~ midp(sK23,X0,X0) ),
    inference(resolution,[],[f23144,f1665]) ).

fof(f23197,plain,
    ! [X0,X1] : perp(sK23,sK23,X0,X1),
    inference(forward_subsumption_resolution,[],[f23186,f23144]) ).

fof(f23597,plain,
    para(sK23,sK23,sK23,sK20),
    inference(resolution,[],[f23197,f550]) ).

fof(f23730,plain,
    para(sK23,sK20,sK23,sK23),
    inference(resolution,[],[f23597,f275]) ).

fof(f23733,plain,
    ! [X0] :
      ( ~ midp(X0,sK23,sK23)
      | ~ para(sK23,sK20,sK23,sK23)
      | midp(X0,sK20,sK23) ),
    inference(resolution,[],[f23597,f335]) ).

fof(f23738,plain,
    ! [X0] :
      ( ~ para(sK23,sK20,sK23,sK23)
      | midp(X0,sK20,sK23) ),
    inference(forward_subsumption_resolution,[],[f23733,f23122]) ).

fof(f23740,plain,
    ! [X0] : midp(X0,sK20,sK23),
    inference(forward_subsumption_resolution,[],[f23738,f23730]) ).

fof(f23864,plain,
    ! [X0] : midp(X0,sK23,sK20),
    inference(resolution,[],[f23740,f281]) ).

fof(f24117,plain,
    ! [X0,X1] :
      ( ~ midp(X0,sK23,sK20)
      | cong(X1,sK23,X0,sK23)
      | ~ midp(X1,sK23,sK20) ),
    inference(resolution,[],[f2281,f15627]) ).

fof(f24156,plain,
    ! [X0,X1] :
      ( ~ midp(X0,sK23,sK20)
      | cong(X1,sK23,X0,sK23) ),
    inference(forward_subsumption_resolution,[],[f24117,f23864]) ).

fof(f24188,plain,
    ! [X0,X1] : cong(X1,sK23,X0,sK23),
    inference(forward_subsumption_resolution,[],[f24156,f23864]) ).

fof(f24294,plain,
    ! [X0,X1] : cong(X0,sK23,sK23,X1),
    inference(resolution,[],[f24188,f293]) ).

fof(f24758,plain,
    ! [X0] : para(sK23,X0,sK23,sK23),
    inference(resolution,[],[f24294,f1895]) ).

fof(f24759,plain,
    ! [X0] : para(sK23,sK23,sK23,X0),
    inference(resolution,[],[f24294,f517]) ).

fof(f26422,plain,
    ! [X0,X1] :
      ( ~ midp(X0,sK23,sK23)
      | ~ para(sK23,sK23,sK23,X1)
      | midp(X0,sK23,X1) ),
    inference(resolution,[],[f24758,f335]) ).

fof(f26429,plain,
    ! [X0,X1] :
      ( ~ para(sK23,sK23,sK23,X1)
      | midp(X0,sK23,X1) ),
    inference(forward_subsumption_resolution,[],[f26422,f23122]) ).

fof(f26431,plain,
    ! [X0,X1] : midp(X0,sK23,X1),
    inference(forward_subsumption_resolution,[],[f26429,f24759]) ).

fof(f26440,plain,
    ! [X2,X3,X0,X1] :
      ( ~ midp(X0,sK23,X1)
      | para(X0,X2,X1,X3) ),
    inference(resolution,[],[f26431,f315]) ).

fof(f26489,plain,
    ! [X2,X3,X0,X1] : para(X0,X2,X1,X3),
    inference(forward_subsumption_resolution,[],[f26440,f26431]) ).

fof(f33474,plain,
    ( ~ para(sK22,sK26,sK28,sK26)
    | ~ para(sK26,sK28,sK26,sK27) ),
    inference(resolution,[],[f3550,f398]) ).

fof(f33530,plain,
    ~ para(sK22,sK26,sK28,sK26),
    inference(forward_subsumption_resolution,[],[f33474,f26489]) ).

fof(f33545,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f33530,f26489]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO639+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39  % Computer : n016.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 08:46:47 UTC 2026
% 0.11/0.40  % CPUTime  : 
% 0.11/0.40  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43  Running first-order model finding
% 0.11/0.43  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
% 7.28/1.50  % (2329318)Will run a generic schedule for satisfiability detection.
% 7.28/1.50  % (2329326)dis+10_1_sil=32000:sp=arity:random_seed=3444681213:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.28/1.50  % (2329324)% WARNING: option uhcvi not known.
% 7.28/1.50  % (2329323)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=656135280_2999 on theBenchmark for (2999ds/0Mi)
% 7.28/1.50  % (2329324)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=887917408:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.28/1.50  % (2329325)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3803320075:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.28/1.50  % (2329327)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2833566696:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.28/1.50  % (2329328)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4077453668:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.28/1.50  % (2329329)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1082781647:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.28/1.50  % TRYING [1]
% 7.28/1.50  % TRYING [2]
% 7.28/1.50  % (2329326)Instruction limit reached! 
% 7.28/1.50  % (2329326)------------------------------
% 7.28/1.50  % (2329326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.28/1.50  % (2329326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.50  % (2329326)CaDiCaL version: 2.1.3
% 7.28/1.50  % (2329326)Termination reason: Instruction limit
% 7.28/1.50  % (2329326)Termination phase: Saturation
% 7.28/1.50  % (2329326)Time elapsed: 0.037 s
% 7.28/1.50  % (2329326)Peak memory usage: 13 MB
% 7.28/1.50  % (2329326)Instructions burned: 104 (million)
% 7.28/1.50  % TRYING [3]
% 7.28/1.50  % (2329337)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3989731536:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.28/1.50  % TRYING [1]
% 7.28/1.50  % TRYING [2]
% 7.28/1.50  % TRYING [3]
% 7.28/1.50  % (2329327)Instruction limit reached! 
% 7.28/1.50  % (2329327)------------------------------
% 7.28/1.50  % (2329327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.28/1.50  % (2329327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.50  % (2329327)CaDiCaL version: 2.1.3
% 7.28/1.50  % (2329327)Termination reason: Instruction limit
% 7.28/1.50  % (2329327)Termination phase: Saturation
% 7.28/1.50  % (2329327)Time elapsed: 0.075 s
% 7.28/1.50  % (2329327)Peak memory usage: 13 MB
% 7.28/1.50  % (2329327)Instructions burned: 117 (million)
% 7.28/1.50  % (2329328)Instruction limit reached! 
% 7.28/1.50  % (2329328)------------------------------
% 7.28/1.50  % (2329328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.28/1.50  % (2329328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.50  % (2329328)CaDiCaL version: 2.1.3
% 7.28/1.50  % (2329328)Termination reason: Instruction limit
% 7.28/1.50  % (2329328)Termination phase: Saturation
% 7.28/1.50  % (2329328)Time elapsed: 0.082 s
% 7.28/1.50  % (2329328)Peak memory usage: 14 MB
% 7.28/1.50  % (2329328)Instructions burned: 132 (million)
% 7.28/1.50  % (2329339)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=677846539:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.28/1.50  % (2329329)Instruction limit reached! 
% 7.28/1.50  % (2329329)------------------------------
% 7.28/1.50  % (2329329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.28/1.50  % (2329329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.50  % (2329329)CaDiCaL version: 2.1.3
% 7.28/1.50  % (2329329)Termination reason: Instruction limit
% 7.28/1.50  % (2329329)Termination phase: Saturation
% 7.28/1.50  % (2329329)Time elapsed: 0.101 s
% 7.28/1.50  % (2329329)Peak memory usage: 14 MB
% 7.28/1.50  % (2329329)Instructions burned: 160 (million)
% 7.28/1.50  % (2329340)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=408641267:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.28/1.50  % (2329343)ott-21_1_sil=16000:fs=off:random_seed=3912202946:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.28/1.50  % (2329337)Instruction limit reached! 
% 7.28/1.50  % (2329337)------------------------------
% 7.28/1.50  % (2329337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.28/1.50  % (2329337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/3.33  % (2329337)CaDiCaL version: 2.1.3
% 8.28/3.33  % (2329337)Termination reason: Instruction limit
% 8.28/3.33  % (2329337)Termination phase: Finite model building constraint generation
% 8.28/3.33  % (2329337)Time elapsed: 0.135 s
% 8.28/3.33  % (2329337)Peak memory usage: 24 MB
% 8.28/3.33  % (2329337)Instructions burned: 718 (million)
% 8.28/3.33  % (2329339)Instruction limit reached! 
% 8.28/3.33  % (2329339)------------------------------
% 8.28/3.33  % (2329339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/3.33  % (2329339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/3.33  % (2329339)CaDiCaL version: 2.1.3
% 8.28/3.33  % (2329339)Termination reason: Instruction limit
% 8.28/3.33  % (2329339)Termination phase: Saturation
% 8.28/3.33  % (2329339)Time elapsed: 0.081 s
% 8.28/3.33  % (2329339)Peak memory usage: 14 MB
% 8.28/3.33  % (2329339)Instructions burned: 132 (million)
% 8.28/3.33  % (2329345)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1121515946:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.28/3.33  % (2329346)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3010560:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.28/3.33  % TRYING [1]
% 8.28/3.33  % TRYING [2]
% 8.28/3.33  % (2329343)Instruction limit reached! 
% 8.28/3.33  % (2329343)------------------------------
% 8.28/3.33  % (2329343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/3.33  % (2329343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/3.33  % (2329343)CaDiCaL version: 2.1.3
% 8.28/3.33  % (2329343)Termination reason: Instruction limit
% 8.28/3.33  % (2329343)Termination phase: Saturation
% 8.28/3.33  % (2329343)Time elapsed: 0.096 s
% 8.28/3.33  % (2329343)Peak memory usage: 12 MB
% 8.28/3.33  % (2329343)Instructions burned: 182 (million)
% 8.28/3.33  % (2329349)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=532751595:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 8.28/3.33  % TRYING [3]
% 8.28/3.33  % (2329345)Instruction limit reached! 
% 8.28/3.33  % (2329345)------------------------------
% 8.28/3.33  % (2329345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/3.33  % (2329345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/3.33  % (2329345)CaDiCaL version: 2.1.3
% 8.28/3.33  % (2329345)Termination reason: Instruction limit
% 8.28/3.33  % (2329345)Termination phase: Saturation
% 8.28/3.33  % (2329345)Time elapsed: 0.157 s
% 8.28/3.33  % (2329345)Peak memory usage: 15 MB
% 8.28/3.33  % (2329345)Instructions burned: 477 (million)
% 8.28/3.33  % (2329351)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=732641651:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 8.28/3.33  % (2329351)Cannot represent all propositional literals internally
% 8.28/3.33  % (2329351)Refutation not found, incomplete strategy
% 8.28/3.33  % (2329351)------------------------------
% 8.28/3.33  % (2329351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/3.33  % (2329351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/3.33  % (2329351)CaDiCaL version: 2.1.3
% 8.28/3.33  % (2329351)Termination reason: Refutation not found, incomplete strategy
% 8.28/3.33  % (2329351)Time elapsed: 0.007 s
% 8.28/3.33  % (2329351)Peak memory usage: 10 MB
% 8.28/3.33  % (2329351)Instructions burned: 13 (million)
% 8.28/3.33  % (2329351)------------------------------
% 8.28/3.33  % (2329351)------------------------------
% 8.28/3.33  % (2329353)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=1459405782:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 8.28/3.33  % (2329346)Instruction limit reached! 
% 8.28/3.33  % (2329346)------------------------------
% 8.28/3.33  % (2329346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/3.33  % (2329346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/3.33  % (2329346)CaDiCaL version: 2.1.3
% 8.28/3.33  % (2329346)Termination reason: Instruction limit
% 8.28/3.33  % (2329346)Termination phase: Finite model building constraint generation
% 8.28/3.33  % (2329346)Time elapsed: 0.300 s
% 8.28/3.33  % (2329346)Peak memory usage: 50 MB
% 8.28/3.33  % (2329346)Instructions burned: 865 (million)
% 8.28/3.33  % (2329340)Instruction limit reached! 
% 8.28/3.33  % (2329340)------------------------------
% 8.28/3.33  % (2329340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/3.33  % (2329340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/3.33  % (2329340)CaDiCaL version: 2.1.3
% 8.28/3.33  % (2329340)Termination reason: Instruction limit
% 8.28/3.33  % (2329340)Termination phase: Saturation
% 8.28/3.33  % (2329340)Time elapsed: 0.401 s
% 8.28/3.33  % (2329340)Peak memory usage: 18 MB
% 8.28/3.33  % (2329340)Instructions burned: 684 (million)
% 8.28/3.33  % (2329355)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1650334036:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 8.28/3.33  % (2329356)fmb+10_1_sil=64000:random_seed=813590634:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 8.28/3.33  % TRYING [1]
% 8.28/3.33  % TRYING [2]
% 8.28/3.33  % TRYING [3]
% 8.28/3.33  % (2329353)Instruction limit reached! 
% 8.28/3.33  % (2329353)------------------------------
% 8.28/3.33  % (2329353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/3.33  % (2329353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/3.33  % (2329353)CaDiCaL version: 2.1.3
% 8.28/3.33  % (2329353)Termination reason: Instruction limit
% 8.28/3.33  % (2329353)Termination phase: Saturation
% 8.28/3.33  % (2329353)Time elapsed: 0.283 s
% 8.28/3.33  % (2329353)Peak memory usage: 21 MB
% 8.28/3.33  % (2329353)Instructions burned: 692 (million)
% 8.28/3.33  % (2329359)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1638217743:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 8.28/3.33  % (2329359)Cannot represent all propositional literals internally
% 8.28/3.33  % (2329359)Refutation not found, incomplete strategy
% 8.28/3.33  % (2329359)------------------------------
% 8.28/3.33  % (2329359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/3.33  % (2329359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/3.33  % (2329359)CaDiCaL version: 2.1.3
% 8.28/3.33  % (2329359)Termination reason: Refutation not found, incomplete strategy
% 8.28/3.33  % (2329359)Time elapsed: 0.003 s
% 8.28/3.33  % (2329359)Peak memory usage: 10 MB
% 8.28/3.33  % (2329359)Instructions burned: 13 (million)
% 8.28/3.33  % (2329359)------------------------------
% 8.28/3.33  % (2329359)------------------------------
% 8.28/3.33  % (2329361)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3100916821:fmbsr=1.7:i=920_2992 on theBenchmark for (2992ds/920Mi)
% 8.28/3.33  % TRYING [8]
% 8.28/3.33  % (2329361)Instruction limit reached! 
% 8.28/3.33  % (2329361)------------------------------
% 8.28/3.33  % (2329361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/3.33  % (2329361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/3.33  % (2329361)CaDiCaL version: 2.1.3
% 8.28/3.33  % (2329361)Termination reason: Instruction limit
% 8.28/3.33  % (2329361)Termination phase: Finite model building constraint generation
% 8.28/3.33  % (2329361)Time elapsed: 0.162 s
% 8.28/3.33  % (2329361)Peak memory usage: 50 MB
% 8.28/3.33  % (2329361)Instructions burned: 927 (million)
% 8.28/3.33  % (2329363)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3864488237:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 8.28/3.33  % (2329349)Instruction limit reached! 
% 8.28/3.33  % (2329349)------------------------------
% 8.28/3.33  % (2329349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/3.33  % (2329349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/3.33  % (2329349)CaDiCaL version: 2.1.3
% 8.28/3.33  % (2329349)Termination reason: Instruction limit
% 8.28/3.33  % (2329349)Termination phase: Saturation
% 8.28/3.33  % (2329349)Time elapsed: 0.733 s
% 8.28/3.33  % (2329349)Peak memory usage: 24 MB
% 8.28/3.33  % (2329349)Instructions burned: 1180 (million)
% 8.28/3.33  % (2329365)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4211783774:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 8.28/3.33  % (2329355)Instruction limit reached! 
% 8.28/3.33  % (2329355)------------------------------
% 8.28/3.33  % (2329355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/3.33  % (2329355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/3.33  % (2329355)CaDiCaL version: 2.1.3
% 8.28/3.33  % (2329355)Termination reason: Instruction limit
% 8.28/3.33  % (2329355)Termination phase: Saturation
% 8.28/3.33  % (2329355)Time elapsed: 0.477 s
% 8.28/3.33  % (2329355)Peak memory usage: 18 MB
% 8.28/3.33  % (2329355)Instructions burned: 879 (million)
% 8.28/3.33  % (2329367)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3524981681:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 8.28/3.33  % (2329367)Cannot represent all propositional literals internally
% 8.28/3.33  % (2329367)Refutation not found, incomplete strategy
% 8.28/3.33  % (2329367)------------------------------
% 8.28/3.33  % (2329367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/3.33  % (2329367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/3.33  % (2329367)CaDiCaL version: 2.1.3
% 8.28/3.33  % (2329367)Termination reason: Refutation not found, incomplete strategy
% 8.28/3.33  % (2329367)Time elapsed: 0.008 s
% 8.28/3.33  % (2329367)Peak memory usage: 11 MB
% 8.28/3.33  % (2329367)Instructions burned: 16 (million)
% 8.28/3.33  % (2329367)------------------------------
% 8.28/3.33  % (2329367)------------------------------
% 8.28/3.33  % (2329369)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1729181609:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 8.28/3.33  % (2329369)Cannot represent all propositional literals internally
% 8.28/3.33  % (2329369)Refutation not found, incomplete strategy
% 8.28/3.33  % (2329369)------------------------------
% 8.28/3.33  % (2329369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/3.33  % (2329369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/3.33  % (2329369)CaDiCaL version: 2.1.3
% 8.28/3.33  % (2329369)Termination reason: Refutation not found, incomplete strategy
% 8.28/3.33  % (2329369)Time elapsed: 0.083 s
% 8.28/3.33  % (2329369)Peak memory usage: 12 MB
% 8.28/3.33  % (2329369)Instructions burned: 167 (million)
% 8.28/3.33  % (2329369)------------------------------
% 8.28/3.33  % (2329369)------------------------------
% 8.28/3.33  % (2329371)ott-2_1_sil=16000:newcnf=on:random_seed=1630764143:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 8.28/3.33  % (2329371)Instruction limit reached! 
% 8.28/3.33  % (2329371)------------------------------
% 8.28/3.33  % (2329371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/3.33  % (2329371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/3.33  % (2329371)CaDiCaL version: 2.1.3
% 8.28/3.33  % (2329371)Termination reason: Instruction limit
% 8.28/3.33  % (2329371)Termination phase: Saturation
% 8.28/3.33  % (2329371)Time elapsed: 0.572 s
% 8.28/3.33  % (2329371)Peak memory usage: 19 MB
% 8.28/3.33  % (2329371)Instructions burned: 871 (million)
% 8.28/3.33  % (2329373)ott+10_1_sil=32000:tgt=ground:random_seed=3325063248:i=5114:av=off_2982 on theBenchmark for (2982ds/5114Mi)
% 8.28/3.33  % (2329365)Instruction limit reached! 
% 8.28/3.33  % (2329365)------------------------------
% 8.28/3.33  % (2329365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/3.33  % (2329365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/3.33  % (2329365)CaDiCaL version: 2.1.3
% 8.28/3.33  % (2329365)Termination reason: Instruction limit
% 8.28/3.33  % (2329365)Termination phase: Saturation
% 8.28/3.33  % (2329365)Time elapsed: 0.997 s
% 8.28/3.33  % (2329365)Peak memory usage: 35 MB
% 8.28/3.33  % (2329365)Instructions burned: 1472 (million)
% 8.28/3.33  % (2329375)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3078299834:i=54282_2979 on theBenchmark for (2979ds/54282Mi)
% 8.28/3.33  % TRYING [1]
% 8.28/3.33  % TRYING [2]
% 8.28/3.33  % TRYING [3]
% 8.28/3.33  % (2329363)Instruction limit reached! 
% 8.28/3.33  % (2329363)------------------------------
% 8.28/3.33  % (2329363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/3.33  % (2329363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/3.33  % (2329363)CaDiCaL version: 2.1.3
% 8.28/3.33  % (2329363)Termination reason: Instruction limit
% 8.28/3.33  % (2329363)Termination phase: Saturation
% 8.28/3.33  % (2329363)Time elapsed: 1.714 s
% 8.28/3.33  % (2329363)Peak memory usage: 36 MB
% 8.28/3.33  % (2329363)Instructions burned: 5131 (million)
% 8.28/3.33  % (2329377)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3894214425:i=3512:aac=none_2973 on theBenchmark for (2973ds/3512Mi)
% 8.28/3.33  % (2329373) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2329318-2329373"...
% 8.28/3.33  % (2329373)...printing done.
% 8.28/3.33  % (2329373)Refutation found. Thanks to Tanya!
% 8.28/3.33  % SZS status Theorem for theBenchmark
% 8.28/3.33  % SZS output start Proof for theBenchmark
% See solution above
% 8.28/3.33  % (2329373)------------------------------
% 8.28/3.33  % (2329373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/3.33  % (2329373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/3.33  % (2329373)CaDiCaL version: 2.1.3
% 8.28/3.33  % (2329373)Termination reason: Refutation
% 8.28/3.33  % (2329373)Time elapsed: 1.060 s
% 8.28/3.33  % (2329373)Peak memory usage: 30 MB
% 8.28/3.33  % (2329373)Instructions burned: 1671 (million)
% 8.28/3.33  % (2329318)Success in time 2.891 s
% 8.28/3.33  % Vampire exiting
%------------------------------------------------------------------------------