TSTP Solution File: GEO555+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO555+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 05:21:02 EDT 2024

% Result   : Theorem 4.71s 1.04s
% Output   : Refutation 4.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  103 (  57 unt;   0 def)
%            Number of atoms       :  272 (   0 equ)
%            Maximal formula atoms :   30 (   2 avg)
%            Number of connectives :  219 (  50   ~;  38   |; 114   &)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-8 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :  234 ( 204   !;  30   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f80003,plain,
    $false,
    inference(subsumption_resolution,[],[f79994,f74752]) ).

fof(f74752,plain,
    ~ cyclic(sK4,sK12,sK13,sK10),
    inference(unit_resulting_resolution,[],[f692,f50720,f447]) ).

fof(f447,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X0,X1,X2,X4)
      | cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f247]) ).

fof(f247,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(flattening,[],[f246]) ).

fof(f246,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( cyclic(X0,X1,X2,X4)
        & cyclic(X0,X1,X2,X3) )
     => cyclic(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD17) ).

fof(f50720,plain,
    cyclic(sK4,sK12,sK13,sK11),
    inference(unit_resulting_resolution,[],[f43473,f43542,f447]) ).

fof(f43542,plain,
    cyclic(sK4,sK4,sK12,sK13),
    inference(unit_resulting_resolution,[],[f40878,f40911,f447]) ).

fof(f40911,plain,
    cyclic(sK5,sK4,sK4,sK13),
    inference(unit_resulting_resolution,[],[f40059,f403]) ).

fof(f403,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f184,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X3,X2)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD14) ).

fof(f40059,plain,
    cyclic(sK5,sK4,sK13,sK4),
    inference(unit_resulting_resolution,[],[f39779,f404]) ).

fof(f404,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f185,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X2,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD15) ).

fof(f39779,plain,
    cyclic(sK5,sK13,sK4,sK4),
    inference(unit_resulting_resolution,[],[f974,f37159,f421]) ).

fof(f421,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ coll(X2,X3,X1)
      | cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f212]) ).

fof(f212,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(flattening,[],[f211]) ).

fof(f211,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(ennf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1,X2,X3] :
      ( ( coll(X2,X3,X1)
        & eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
     => cyclic(X0,X1,X2,X3) ),
    inference(rectify,[],[f43]) ).

fof(f43,axiom,
    ! [X0,X1,X8,X9] :
      ( ( coll(X8,X9,X1)
        & eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
     => cyclic(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).

fof(f37159,plain,
    ! [X0,X1] : eqangle(sK4,sK5,X0,X1,sK4,sK5,X0,X1),
    inference(unit_resulting_resolution,[],[f36912,f460]) ).

fof(f460,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f262]) ).

fof(f262,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
     => eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(rectify,[],[f40]) ).

fof(f40,axiom,
    ! [X0,X1,X2,X3,X8,X9] :
      ( para(X0,X1,X2,X3)
     => eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).

fof(f36912,plain,
    para(sK4,sK5,sK4,sK5),
    inference(unit_resulting_resolution,[],[f782,f388,f476]) ).

fof(f476,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | para(X0,X1,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f284]) ).

fof(f284,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(flattening,[],[f283]) ).

fof(f283,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perp(X2,X3,X4,X5)
        & perp(X0,X1,X2,X3) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).

fof(f388,plain,
    perp(sK13,sK7,sK4,sK5),
    inference(cnf_transformation,[],[f330]) ).

fof(f330,plain,
    ( ~ cyclic(sK11,sK12,sK13,sK10)
    & coll(sK13,sK4,sK5)
    & perp(sK13,sK7,sK4,sK5)
    & coll(sK12,sK4,sK5)
    & perp(sK12,sK8,sK4,sK5)
    & coll(sK11,sK4,sK6)
    & perp(sK11,sK9,sK4,sK6)
    & coll(sK10,sK5,sK6)
    & perp(sK10,sK9,sK5,sK6)
    & coll(sK9,sK4,sK5)
    & perp(sK9,sK6,sK4,sK5)
    & coll(sK8,sK4,sK6)
    & perp(sK8,sK5,sK4,sK6)
    & coll(sK7,sK5,sK6)
    & perp(sK7,sK4,sK5,sK6) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13])],[f169,f329]) ).

fof(f329,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
        ( ~ cyclic(X7,X8,X9,X6)
        & coll(X9,X0,X1)
        & perp(X9,X3,X0,X1)
        & coll(X8,X0,X1)
        & perp(X8,X4,X0,X1)
        & coll(X7,X0,X2)
        & perp(X7,X5,X0,X2)
        & coll(X6,X1,X2)
        & perp(X6,X5,X1,X2)
        & coll(X5,X0,X1)
        & perp(X5,X2,X0,X1)
        & coll(X4,X0,X2)
        & perp(X4,X1,X0,X2)
        & coll(X3,X1,X2)
        & perp(X3,X0,X1,X2) )
   => ( ~ cyclic(sK11,sK12,sK13,sK10)
      & coll(sK13,sK4,sK5)
      & perp(sK13,sK7,sK4,sK5)
      & coll(sK12,sK4,sK5)
      & perp(sK12,sK8,sK4,sK5)
      & coll(sK11,sK4,sK6)
      & perp(sK11,sK9,sK4,sK6)
      & coll(sK10,sK5,sK6)
      & perp(sK10,sK9,sK5,sK6)
      & coll(sK9,sK4,sK5)
      & perp(sK9,sK6,sK4,sK5)
      & coll(sK8,sK4,sK6)
      & perp(sK8,sK5,sK4,sK6)
      & coll(sK7,sK5,sK6)
      & perp(sK7,sK4,sK5,sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f169,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ cyclic(X7,X8,X9,X6)
      & coll(X9,X0,X1)
      & perp(X9,X3,X0,X1)
      & coll(X8,X0,X1)
      & perp(X8,X4,X0,X1)
      & coll(X7,X0,X2)
      & perp(X7,X5,X0,X2)
      & coll(X6,X1,X2)
      & perp(X6,X5,X1,X2)
      & coll(X5,X0,X1)
      & perp(X5,X2,X0,X1)
      & coll(X4,X0,X2)
      & perp(X4,X1,X0,X2)
      & coll(X3,X1,X2)
      & perp(X3,X0,X1,X2) ),
    inference(flattening,[],[f168]) ).

fof(f168,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ cyclic(X7,X8,X9,X6)
      & coll(X9,X0,X1)
      & perp(X9,X3,X0,X1)
      & coll(X8,X0,X1)
      & perp(X8,X4,X0,X1)
      & coll(X7,X0,X2)
      & perp(X7,X5,X0,X2)
      & coll(X6,X1,X2)
      & perp(X6,X5,X1,X2)
      & coll(X5,X0,X1)
      & perp(X5,X2,X0,X1)
      & coll(X4,X0,X2)
      & perp(X4,X1,X0,X2)
      & coll(X3,X1,X2)
      & perp(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
        ( ( coll(X9,X0,X1)
          & perp(X9,X3,X0,X1)
          & coll(X8,X0,X1)
          & perp(X8,X4,X0,X1)
          & coll(X7,X0,X2)
          & perp(X7,X5,X0,X2)
          & coll(X6,X1,X2)
          & perp(X6,X5,X1,X2)
          & coll(X5,X0,X1)
          & perp(X5,X2,X0,X1)
          & coll(X4,X0,X2)
          & perp(X4,X1,X0,X2)
          & coll(X3,X1,X2)
          & perp(X3,X0,X1,X2) )
       => cyclic(X7,X8,X9,X6) ),
    inference(rectify,[],[f96]) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X12,X13,X18,X19] :
        ( ( coll(X19,X0,X1)
          & perp(X19,X3,X0,X1)
          & coll(X18,X0,X1)
          & perp(X18,X4,X0,X1)
          & coll(X13,X0,X2)
          & perp(X13,X5,X0,X2)
          & coll(X12,X1,X2)
          & perp(X12,X5,X1,X2)
          & coll(X5,X0,X1)
          & perp(X5,X2,X0,X1)
          & coll(X4,X0,X2)
          & perp(X4,X1,X0,X2)
          & coll(X3,X1,X2)
          & perp(X3,X0,X1,X2) )
       => cyclic(X13,X18,X19,X12) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X12,X13,X18,X19] :
      ( ( coll(X19,X0,X1)
        & perp(X19,X3,X0,X1)
        & coll(X18,X0,X1)
        & perp(X18,X4,X0,X1)
        & coll(X13,X0,X2)
        & perp(X13,X5,X0,X2)
        & coll(X12,X1,X2)
        & perp(X12,X5,X1,X2)
        & coll(X5,X0,X1)
        & perp(X5,X2,X0,X1)
        & coll(X4,X0,X2)
        & perp(X4,X1,X0,X2)
        & coll(X3,X1,X2)
        & perp(X3,X0,X1,X2) )
     => cyclic(X13,X18,X19,X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012015) ).

fof(f782,plain,
    perp(sK4,sK5,sK13,sK7),
    inference(unit_resulting_resolution,[],[f388,f411]) ).

fof(f411,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f192,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).

fof(f974,plain,
    coll(sK4,sK4,sK13),
    inference(unit_resulting_resolution,[],[f514,f514,f413]) ).

fof(f413,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X0,X1,X3)
      | coll(X2,X3,X0)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f196]) ).

fof(f196,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(flattening,[],[f195]) ).

fof(f195,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( coll(X0,X1,X3)
        & coll(X0,X1,X2) )
     => coll(X2,X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).

fof(f514,plain,
    coll(sK13,sK5,sK4),
    inference(unit_resulting_resolution,[],[f389,f394]) ).

fof(f394,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X0,X2,X1) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f173,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X2,X1)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).

fof(f389,plain,
    coll(sK13,sK4,sK5),
    inference(cnf_transformation,[],[f330]) ).

fof(f40878,plain,
    cyclic(sK5,sK4,sK4,sK12),
    inference(unit_resulting_resolution,[],[f40048,f403]) ).

fof(f40048,plain,
    cyclic(sK5,sK4,sK12,sK4),
    inference(unit_resulting_resolution,[],[f39778,f404]) ).

fof(f39778,plain,
    cyclic(sK5,sK12,sK4,sK4),
    inference(unit_resulting_resolution,[],[f973,f37159,f421]) ).

fof(f973,plain,
    coll(sK4,sK4,sK12),
    inference(unit_resulting_resolution,[],[f513,f513,f413]) ).

fof(f513,plain,
    coll(sK12,sK5,sK4),
    inference(unit_resulting_resolution,[],[f387,f394]) ).

fof(f387,plain,
    coll(sK12,sK4,sK5),
    inference(cnf_transformation,[],[f330]) ).

fof(f43473,plain,
    cyclic(sK4,sK4,sK12,sK11),
    inference(unit_resulting_resolution,[],[f40845,f40878,f447]) ).

fof(f40845,plain,
    cyclic(sK5,sK4,sK4,sK11),
    inference(unit_resulting_resolution,[],[f40037,f403]) ).

fof(f40037,plain,
    cyclic(sK5,sK4,sK11,sK4),
    inference(unit_resulting_resolution,[],[f39777,f404]) ).

fof(f39777,plain,
    cyclic(sK5,sK11,sK4,sK4),
    inference(unit_resulting_resolution,[],[f976,f37159,f421]) ).

fof(f976,plain,
    coll(sK4,sK4,sK11),
    inference(unit_resulting_resolution,[],[f511,f511,f413]) ).

fof(f511,plain,
    coll(sK11,sK6,sK4),
    inference(unit_resulting_resolution,[],[f385,f394]) ).

fof(f385,plain,
    coll(sK11,sK4,sK6),
    inference(cnf_transformation,[],[f330]) ).

fof(f692,plain,
    ~ cyclic(sK12,sK13,sK10,sK11),
    inference(unit_resulting_resolution,[],[f685,f403]) ).

fof(f685,plain,
    ~ cyclic(sK12,sK13,sK11,sK10),
    inference(unit_resulting_resolution,[],[f676,f404]) ).

fof(f676,plain,
    ~ cyclic(sK12,sK11,sK13,sK10),
    inference(unit_resulting_resolution,[],[f390,f402]) ).

fof(f402,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X0,X2,X3) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f183,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X1,X0,X2,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X1,X0,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD16) ).

fof(f390,plain,
    ~ cyclic(sK11,sK12,sK13,sK10),
    inference(cnf_transformation,[],[f330]) ).

fof(f79994,plain,
    cyclic(sK4,sK12,sK13,sK10),
    inference(unit_resulting_resolution,[],[f50779,f52987,f447]) ).

fof(f52987,plain,
    cyclic(sK5,sK4,sK12,sK10),
    inference(unit_resulting_resolution,[],[f44093,f44152,f447]) ).

fof(f44152,plain,
    cyclic(sK5,sK5,sK4,sK12),
    inference(unit_resulting_resolution,[],[f41071,f41227,f447]) ).

fof(f41227,plain,
    cyclic(sK6,sK5,sK5,sK12),
    inference(unit_resulting_resolution,[],[f40213,f403]) ).

fof(f40213,plain,
    cyclic(sK6,sK5,sK12,sK5),
    inference(unit_resulting_resolution,[],[f39808,f404]) ).

fof(f39808,plain,
    cyclic(sK6,sK12,sK5,sK5),
    inference(unit_resulting_resolution,[],[f983,f37191,f421]) ).

fof(f37191,plain,
    ! [X0,X1] : eqangle(sK5,sK6,X0,X1,sK5,sK6,X0,X1),
    inference(unit_resulting_resolution,[],[f36954,f460]) ).

fof(f36954,plain,
    para(sK5,sK6,sK5,sK6),
    inference(unit_resulting_resolution,[],[f778,f382,f476]) ).

fof(f382,plain,
    perp(sK10,sK9,sK5,sK6),
    inference(cnf_transformation,[],[f330]) ).

fof(f778,plain,
    perp(sK5,sK6,sK10,sK9),
    inference(unit_resulting_resolution,[],[f382,f411]) ).

fof(f983,plain,
    coll(sK5,sK5,sK12),
    inference(unit_resulting_resolution,[],[f387,f387,f413]) ).

fof(f41071,plain,
    cyclic(sK6,sK5,sK5,sK4),
    inference(unit_resulting_resolution,[],[f40147,f403]) ).

fof(f40147,plain,
    cyclic(sK6,sK5,sK4,sK5),
    inference(unit_resulting_resolution,[],[f39800,f404]) ).

fof(f39800,plain,
    cyclic(sK6,sK4,sK5,sK5),
    inference(unit_resulting_resolution,[],[f991,f37191,f421]) ).

fof(f991,plain,
    coll(sK5,sK5,sK4),
    inference(unit_resulting_resolution,[],[f542,f542,f413]) ).

fof(f542,plain,
    coll(sK4,sK13,sK5),
    inference(unit_resulting_resolution,[],[f389,f395]) ).

fof(f395,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X1,X0,X2) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f174,plain,
    ! [X0,X1,X2] :
      ( coll(X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).

fof(f44093,plain,
    cyclic(sK5,sK5,sK4,sK10),
    inference(unit_resulting_resolution,[],[f41071,f41194,f447]) ).

fof(f41194,plain,
    cyclic(sK6,sK5,sK5,sK10),
    inference(unit_resulting_resolution,[],[f40202,f403]) ).

fof(f40202,plain,
    cyclic(sK6,sK5,sK10,sK5),
    inference(unit_resulting_resolution,[],[f39806,f404]) ).

fof(f39806,plain,
    cyclic(sK6,sK10,sK5,sK5),
    inference(unit_resulting_resolution,[],[f986,f37191,f421]) ).

fof(f986,plain,
    coll(sK5,sK5,sK10),
    inference(unit_resulting_resolution,[],[f510,f510,f413]) ).

fof(f510,plain,
    coll(sK10,sK6,sK5),
    inference(unit_resulting_resolution,[],[f383,f394]) ).

fof(f383,plain,
    coll(sK10,sK5,sK6),
    inference(cnf_transformation,[],[f330]) ).

fof(f50779,plain,
    cyclic(sK5,sK4,sK12,sK13),
    inference(unit_resulting_resolution,[],[f43485,f43547,f447]) ).

fof(f43547,plain,
    cyclic(sK4,sK5,sK4,sK13),
    inference(unit_resulting_resolution,[],[f40911,f402]) ).

fof(f43485,plain,
    cyclic(sK4,sK5,sK4,sK12),
    inference(unit_resulting_resolution,[],[f40878,f402]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GEO555+1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n027.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 22:05:38 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  % (6909)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38  % (6915)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.38  % (6912)WARNING: value z3 for option sas not known
% 0.16/0.38  % (6911)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.38  % (6913)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.38  % (6914)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.38  % (6912)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38  % (6910)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.38  % (6916)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.39  TRYING [1]
% 0.16/0.39  TRYING [2]
% 0.22/0.45  TRYING [3]
% 0.22/0.47  TRYING [1]
% 0.22/0.49  TRYING [2]
% 3.73/0.90  TRYING [1]
% 3.73/0.91  TRYING [2]
% 4.09/0.94  TRYING [3]
% 4.71/1.03  % (6916)First to succeed.
% 4.71/1.03  % (6916)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6909"
% 4.71/1.04  % (6916)Refutation found. Thanks to Tanya!
% 4.71/1.04  % SZS status Theorem for theBenchmark
% 4.71/1.04  % SZS output start Proof for theBenchmark
% See solution above
% 4.71/1.04  % (6916)------------------------------
% 4.71/1.04  % (6916)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.71/1.04  % (6916)Termination reason: Refutation
% 4.71/1.04  
% 4.71/1.04  % (6916)Memory used [KB]: 11682
% 4.71/1.04  % (6916)Time elapsed: 0.653 s
% 4.71/1.04  % (6916)Instructions burned: 2075 (million)
% 4.71/1.04  % (6909)Success in time 0.674 s
%------------------------------------------------------------------------------