TSTP Solution File: GEO554+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO554+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n022.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 : Wed Aug 30 23:36:23 EDT 2023

% Result   : Theorem 25.51s 4.02s
% Output   : Refutation 25.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  102 (  48 unt;   0 def)
%            Number of atoms       :  240 (   0 equ)
%            Maximal formula atoms :   22 (   2 avg)
%            Number of connectives :  200 (  62   ~;  37   |;  79   &)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-8 aty)
%            Number of functors    :   17 (  17 usr;  16 con; 0-4 aty)
%            Number of variables   :  323 (; 271   !;  52   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f332931,plain,
    $false,
    inference(unit_resulting_resolution,[],[f6788,f5976,f473]) ).

fof(f473,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,[],[f303]) ).

fof(f303,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,[],[f157]) ).

fof(f157,plain,
    ! [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) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
    file('/export/starexec/sandbox2/tmp/tmp.O3vaoFGSar/Vampire---4.8_28436',ruleD19) ).

fof(f5976,plain,
    ! [X0,X1] : eqangle(sK0,sK2,X0,X1,sK0,sK2,X0,X1),
    inference(unit_resulting_resolution,[],[f4536,f438]) ).

fof(f438,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    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/tmp/tmp.O3vaoFGSar/Vampire---4.8_28436',ruleD40) ).

fof(f4536,plain,
    para(sK0,sK2,sK0,sK2),
    inference(unit_resulting_resolution,[],[f2745,f2726,f453]) ).

fof(f453,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,[],[f282]) ).

fof(f282,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(flattening,[],[f281]) ).

fof(f281,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/tmp/tmp.O3vaoFGSar/Vampire---4.8_28436',ruleD9) ).

fof(f2726,plain,
    perp(sK17(sK2,sK6,sK14,sK0),sK2,sK0,sK2),
    inference(unit_resulting_resolution,[],[f2716,f388]) ).

fof(f388,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f189,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X3,X2)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.O3vaoFGSar/Vampire---4.8_28436',ruleD7) ).

fof(f2716,plain,
    perp(sK17(sK2,sK6,sK14,sK0),sK2,sK2,sK0),
    inference(unit_resulting_resolution,[],[f368,f404]) ).

fof(f404,plain,
    ! [X2,X3,X0,X1] :
      ( perp(sK17(X0,X1,X2,X3),X0,X0,X3)
      | ~ circle(X3,X0,X1,X2) ),
    inference(cnf_transformation,[],[f326]) ).

fof(f326,plain,
    ! [X0,X1,X2,X3] :
      ( perp(sK17(X0,X1,X2,X3),X0,X0,X3)
      | ~ circle(X3,X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f217,f325]) ).

fof(f325,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( perp(X4,X0,X0,X3)
          | ~ circle(X3,X0,X1,X2) )
     => ( perp(sK17(X0,X1,X2,X3),X0,X0,X3)
        | ~ circle(X3,X0,X1,X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f217,plain,
    ! [X0,X1,X2,X3] :
    ? [X4] :
      ( perp(X4,X0,X0,X3)
      | ~ circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1,X2,X3] :
    ? [X4] :
      ( circle(X3,X0,X1,X2)
     => perp(X4,X0,X0,X3) ),
    inference(rectify,[],[f87]) ).

fof(f87,axiom,
    ! [X0,X1,X2,X7] :
    ? [X8] :
      ( circle(X7,X0,X1,X2)
     => perp(X8,X0,X0,X7) ),
    file('/export/starexec/sandbox2/tmp/tmp.O3vaoFGSar/Vampire---4.8_28436',ruleX11) ).

fof(f368,plain,
    circle(sK0,sK2,sK6,sK14),
    inference(cnf_transformation,[],[f322]) ).

fof(f322,plain,
    ( ~ coll(sK3,sK5,sK6)
    & circle(sK1,sK2,sK6,sK15)
    & circle(sK0,sK2,sK6,sK14)
    & circle(sK1,sK2,sK5,sK13)
    & coll(sK1,sK4,sK5)
    & circle(sK1,sK2,sK4,sK12)
    & coll(sK2,sK3,sK4)
    & circle(sK0,sK2,sK3,sK11)
    & circle(sK1,sK2,sK9,sK10)
    & circle(sK0,sK2,sK7,sK8)
    & perp(sK2,sK0,sK2,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15])],[f169,f321]) ).

fof(f321,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
        ( ~ coll(X3,X5,X6)
        & circle(X1,X2,X6,X15)
        & circle(X0,X2,X6,X14)
        & circle(X1,X2,X5,X13)
        & coll(X1,X4,X5)
        & circle(X1,X2,X4,X12)
        & coll(X2,X3,X4)
        & circle(X0,X2,X3,X11)
        & circle(X1,X2,X9,X10)
        & circle(X0,X2,X7,X8)
        & perp(X2,X0,X2,X1) )
   => ( ~ coll(sK3,sK5,sK6)
      & circle(sK1,sK2,sK6,sK15)
      & circle(sK0,sK2,sK6,sK14)
      & circle(sK1,sK2,sK5,sK13)
      & coll(sK1,sK4,sK5)
      & circle(sK1,sK2,sK4,sK12)
      & coll(sK2,sK3,sK4)
      & circle(sK0,sK2,sK3,sK11)
      & circle(sK1,sK2,sK9,sK10)
      & circle(sK0,sK2,sK7,sK8)
      & perp(sK2,sK0,sK2,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f169,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ coll(X3,X5,X6)
      & circle(X1,X2,X6,X15)
      & circle(X0,X2,X6,X14)
      & circle(X1,X2,X5,X13)
      & coll(X1,X4,X5)
      & circle(X1,X2,X4,X12)
      & coll(X2,X3,X4)
      & circle(X0,X2,X3,X11)
      & circle(X1,X2,X9,X10)
      & circle(X0,X2,X7,X8)
      & perp(X2,X0,X2,X1) ),
    inference(flattening,[],[f168]) ).

fof(f168,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ coll(X3,X5,X6)
      & circle(X1,X2,X6,X15)
      & circle(X0,X2,X6,X14)
      & circle(X1,X2,X5,X13)
      & coll(X1,X4,X5)
      & circle(X1,X2,X4,X12)
      & coll(X2,X3,X4)
      & circle(X0,X2,X3,X11)
      & circle(X1,X2,X9,X10)
      & circle(X0,X2,X7,X8)
      & perp(X2,X0,X2,X1) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
        ( ( circle(X1,X2,X6,X15)
          & circle(X0,X2,X6,X14)
          & circle(X1,X2,X5,X13)
          & coll(X1,X4,X5)
          & circle(X1,X2,X4,X12)
          & coll(X2,X3,X4)
          & circle(X0,X2,X3,X11)
          & circle(X1,X2,X9,X10)
          & circle(X0,X2,X7,X8)
          & perp(X2,X0,X2,X1) )
       => coll(X3,X5,X6) ),
    inference(rectify,[],[f96]) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X12,X18,X19,X20,X21,X22,X23,X24,X25,X26] :
        ( ( circle(X1,X2,X12,X26)
          & circle(X0,X2,X12,X25)
          & circle(X1,X2,X5,X24)
          & coll(X1,X4,X5)
          & circle(X1,X2,X4,X23)
          & coll(X2,X3,X4)
          & circle(X0,X2,X3,X22)
          & circle(X1,X2,X20,X21)
          & circle(X0,X2,X18,X19)
          & perp(X2,X0,X2,X1) )
       => coll(X3,X5,X12) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X12,X18,X19,X20,X21,X22,X23,X24,X25,X26] :
      ( ( circle(X1,X2,X12,X26)
        & circle(X0,X2,X12,X25)
        & circle(X1,X2,X5,X24)
        & coll(X1,X4,X5)
        & circle(X1,X2,X4,X23)
        & coll(X2,X3,X4)
        & circle(X0,X2,X3,X22)
        & circle(X1,X2,X20,X21)
        & circle(X0,X2,X18,X19)
        & perp(X2,X0,X2,X1) )
     => coll(X3,X5,X12) ),
    file('/export/starexec/sandbox2/tmp/tmp.O3vaoFGSar/Vampire---4.8_28436',exemplo6GDDFULL012014) ).

fof(f2745,plain,
    perp(sK0,sK2,sK17(sK2,sK6,sK14,sK0),sK2),
    inference(unit_resulting_resolution,[],[f2726,f389]) ).

fof(f389,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f190]) ).

fof(f190,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/tmp/tmp.O3vaoFGSar/Vampire---4.8_28436',ruleD8) ).

fof(f6788,plain,
    ! [X0,X1] : ~ eqangle(sK0,sK6,X0,X1,sK0,sK6,X0,X1),
    inference(unit_resulting_resolution,[],[f6753,f448]) ).

fof(f448,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f272]) ).

fof(f272,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
     => para(X0,X1,X2,X3) ),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X0,X1,X2,X3,X8,X9] :
      ( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
     => para(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.O3vaoFGSar/Vampire---4.8_28436',ruleD39) ).

fof(f6753,plain,
    ~ para(sK0,sK6,sK0,sK6),
    inference(unit_resulting_resolution,[],[f6660,f386]) ).

fof(f386,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X2,X3)
      | para(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f187,plain,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X3,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.O3vaoFGSar/Vampire---4.8_28436',ruleD4) ).

fof(f6660,plain,
    ~ para(sK0,sK6,sK6,sK0),
    inference(unit_resulting_resolution,[],[f6473,f387]) ).

fof(f387,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X2,X3)
      | para(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f188,plain,
    ! [X0,X1,X2,X3] :
      ( para(X2,X3,X0,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.O3vaoFGSar/Vampire---4.8_28436',ruleD5) ).

fof(f6473,plain,
    ~ para(sK6,sK0,sK0,sK6),
    inference(unit_resulting_resolution,[],[f5857,f386]) ).

fof(f5857,plain,
    ~ para(sK6,sK0,sK6,sK0),
    inference(unit_resulting_resolution,[],[f5797,f376]) ).

fof(f376,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X2)
      | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
      | ~ para(X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,axiom,
    ! [X0,X1,X2] :
      ( para(X0,X1,X0,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.O3vaoFGSar/Vampire---4.8_28436',ruleD66) ).

fof(f5797,plain,
    ~ coll(sK6,sK0,sK0),
    inference(unit_resulting_resolution,[],[f5678,f375]) ).

fof(f375,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/tmp/tmp.O3vaoFGSar/Vampire---4.8_28436',ruleD2) ).

fof(f5678,plain,
    ~ coll(sK0,sK6,sK0),
    inference(unit_resulting_resolution,[],[f5594,f374]) ).

fof(f374,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/tmp/tmp.O3vaoFGSar/Vampire---4.8_28436',ruleD1) ).

fof(f5594,plain,
    ~ coll(sK0,sK0,sK6),
    inference(unit_resulting_resolution,[],[f4726,f5572,f393]) ).

fof(f393,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/tmp/tmp.O3vaoFGSar/Vampire---4.8_28436',ruleD3) ).

fof(f5572,plain,
    ~ coll(sK3,sK6,sK0),
    inference(unit_resulting_resolution,[],[f4639,f374]) ).

fof(f4639,plain,
    ~ coll(sK3,sK0,sK6),
    inference(unit_resulting_resolution,[],[f1853,f4597,f393]) ).

fof(f4597,plain,
    coll(sK3,sK0,sK2),
    inference(unit_resulting_resolution,[],[f648,f4581,f393]) ).

fof(f4581,plain,
    coll(sK2,sK2,sK0),
    inference(unit_resulting_resolution,[],[f4577,f4577,f393]) ).

fof(f4577,plain,
    coll(sK0,sK0,sK2),
    inference(unit_resulting_resolution,[],[f4562,f4562,f393]) ).

fof(f4562,plain,
    coll(sK2,sK0,sK0),
    inference(unit_resulting_resolution,[],[f4507,f376]) ).

fof(f4507,plain,
    para(sK2,sK0,sK2,sK0),
    inference(unit_resulting_resolution,[],[f2725,f2716,f453]) ).

fof(f2725,plain,
    perp(sK2,sK0,sK17(sK2,sK6,sK14,sK0),sK2),
    inference(unit_resulting_resolution,[],[f2716,f389]) ).

fof(f648,plain,
    coll(sK2,sK2,sK3),
    inference(unit_resulting_resolution,[],[f544,f544,f393]) ).

fof(f544,plain,
    coll(sK3,sK4,sK2),
    inference(unit_resulting_resolution,[],[f536,f374]) ).

fof(f536,plain,
    coll(sK3,sK2,sK4),
    inference(unit_resulting_resolution,[],[f364,f375]) ).

fof(f364,plain,
    coll(sK2,sK3,sK4),
    inference(cnf_transformation,[],[f322]) ).

fof(f1853,plain,
    ~ coll(sK6,sK2,sK3),
    inference(unit_resulting_resolution,[],[f1703,f375]) ).

fof(f1703,plain,
    ~ coll(sK2,sK6,sK3),
    inference(unit_resulting_resolution,[],[f1640,f374]) ).

fof(f1640,plain,
    ~ coll(sK2,sK3,sK6),
    inference(unit_resulting_resolution,[],[f1382,f375]) ).

fof(f1382,plain,
    ~ coll(sK3,sK2,sK6),
    inference(unit_resulting_resolution,[],[f548,f1020,f393]) ).

fof(f1020,plain,
    coll(sK3,sK2,sK5),
    inference(unit_resulting_resolution,[],[f842,f846,f393]) ).

fof(f846,plain,
    coll(sK5,sK4,sK3),
    inference(unit_resulting_resolution,[],[f715,f374]) ).

fof(f715,plain,
    coll(sK5,sK3,sK4),
    inference(unit_resulting_resolution,[],[f647,f653,f393]) ).

fof(f653,plain,
    coll(sK4,sK4,sK5),
    inference(unit_resulting_resolution,[],[f539,f539,f393]) ).

fof(f539,plain,
    coll(sK5,sK1,sK4),
    inference(unit_resulting_resolution,[],[f529,f375]) ).

fof(f529,plain,
    coll(sK1,sK5,sK4),
    inference(unit_resulting_resolution,[],[f366,f374]) ).

fof(f366,plain,
    coll(sK1,sK4,sK5),
    inference(cnf_transformation,[],[f322]) ).

fof(f647,plain,
    coll(sK4,sK4,sK3),
    inference(unit_resulting_resolution,[],[f536,f536,f393]) ).

fof(f842,plain,
    coll(sK5,sK4,sK2),
    inference(unit_resulting_resolution,[],[f714,f374]) ).

fof(f714,plain,
    coll(sK5,sK2,sK4),
    inference(unit_resulting_resolution,[],[f645,f653,f393]) ).

fof(f645,plain,
    coll(sK4,sK4,sK2),
    inference(unit_resulting_resolution,[],[f364,f364,f393]) ).

fof(f548,plain,
    ~ coll(sK6,sK5,sK3),
    inference(unit_resulting_resolution,[],[f535,f374]) ).

fof(f535,plain,
    ~ coll(sK6,sK3,sK5),
    inference(unit_resulting_resolution,[],[f527,f375]) ).

fof(f527,plain,
    ~ coll(sK3,sK6,sK5),
    inference(unit_resulting_resolution,[],[f370,f374]) ).

fof(f370,plain,
    ~ coll(sK3,sK5,sK6),
    inference(cnf_transformation,[],[f322]) ).

fof(f4726,plain,
    coll(sK0,sK0,sK3),
    inference(unit_resulting_resolution,[],[f4641,f4641,f393]) ).

fof(f4641,plain,
    coll(sK3,sK2,sK0),
    inference(unit_resulting_resolution,[],[f4597,f374]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GEO554+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n022.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 29 20:59:23 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.O3vaoFGSar/Vampire---4.8_28436
% 0.15/0.37  % (28543)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (28547)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.22/0.43  % (28546)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.22/0.43  % (28548)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.43  % (28545)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.22/0.43  % (28550)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.22/0.43  % (28544)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.22/0.43  % (28549)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 25.51/4.01  % (28549)First to succeed.
% 25.51/4.02  % (28549)Refutation found. Thanks to Tanya!
% 25.51/4.02  % SZS status Theorem for Vampire---4
% 25.51/4.02  % SZS output start Proof for Vampire---4
% See solution above
% 25.51/4.02  % (28549)------------------------------
% 25.51/4.02  % (28549)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 25.51/4.02  % (28549)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 25.51/4.02  % (28549)Termination reason: Refutation
% 25.51/4.02  
% 25.51/4.02  % (28549)Memory used [KB]: 97610
% 25.51/4.02  % (28549)Time elapsed: 3.583 s
% 25.51/4.02  % (28549)------------------------------
% 25.51/4.02  % (28549)------------------------------
% 25.51/4.02  % (28543)Success in time 3.648 s
% 25.51/4.02  % Vampire---4.8 exiting
%------------------------------------------------------------------------------