TSTP Solution File: GEO601+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO601+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 : n028.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 05:32:16 EDT 2024

% Result   : Theorem 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  108 (  51 unt;   0 def)
%            Number of atoms       :  215 (   0 equ)
%            Maximal formula atoms :   10 (   1 avg)
%            Number of connectives :  168 (  61   ~;  49   |;  36   &)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-4 aty)
%            Number of variables   :  259 ( 234   !;  25   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12198,plain,
    $false,
    inference(subsumption_resolution,[],[f12195,f10954]) ).

fof(f10954,plain,
    cyclic(sK8,sK10,sK4,sK4),
    inference(unit_resulting_resolution,[],[f2354,f1207,f411]) ).

fof(f411,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(f1207,plain,
    ! [X0,X1] : eqangle(sK4,sK8,X0,X1,sK4,sK8,X0,X1),
    inference(unit_resulting_resolution,[],[f1164,f450]) ).

fof(f450,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(f1164,plain,
    para(sK4,sK8,sK4,sK8),
    inference(unit_resulting_resolution,[],[f978,f972,f465]) ).

fof(f465,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/benchmark/theBenchmark.p',ruleD9) ).

fof(f972,plain,
    perp(sK12(sK4,sK7,sK6,sK8),sK4,sK4,sK8),
    inference(unit_resulting_resolution,[],[f377,f414]) ).

fof(f414,plain,
    ! [X2,X3,X0,X1] :
      ( ~ circle(X3,X0,X1,X2)
      | perp(sK12(X0,X1,X2,X3),X0,X0,X3) ),
    inference(cnf_transformation,[],[f334]) ).

fof(f334,plain,
    ! [X0,X1,X2,X3] :
      ( perp(sK12(X0,X1,X2,X3),X0,X0,X3)
      | ~ circle(X3,X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f217,f333]) ).

fof(f333,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( perp(X4,X0,X0,X3)
          | ~ circle(X3,X0,X1,X2) )
     => ( perp(sK12(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/benchmark/theBenchmark.p',ruleX11) ).

fof(f377,plain,
    circle(sK8,sK4,sK7,sK6),
    inference(cnf_transformation,[],[f330]) ).

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

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

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

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

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

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

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X12] :
      ( ( circle(X12,X1,X0,X2)
        & circle(X5,X0,X3,X1)
        & circle(X4,X0,X3,X2)
        & coll(X3,X1,X2) )
     => cyclic(X0,X5,X12,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618063f) ).

fof(f978,plain,
    perp(sK4,sK8,sK12(sK4,sK7,sK6,sK8),sK4),
    inference(unit_resulting_resolution,[],[f972,f399]) ).

fof(f399,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/benchmark/theBenchmark.p',ruleD8) ).

fof(f2354,plain,
    coll(sK4,sK4,sK10),
    inference(unit_resulting_resolution,[],[f2218,f2218,f403]) ).

fof(f403,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(f2218,plain,
    coll(sK10,sK6,sK4),
    inference(unit_resulting_resolution,[],[f2151,f384]) ).

fof(f384,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(f2151,plain,
    coll(sK10,sK4,sK6),
    inference(unit_resulting_resolution,[],[f1624,f2133,f403]) ).

fof(f2133,plain,
    coll(sK6,sK6,sK4),
    inference(unit_resulting_resolution,[],[f2120,f2120,f403]) ).

fof(f2120,plain,
    coll(sK4,sK6,sK6),
    inference(unit_resulting_resolution,[],[f2103,f386]) ).

fof(f386,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/benchmark/theBenchmark.p',ruleD66) ).

fof(f2103,plain,
    para(sK4,sK6,sK4,sK6),
    inference(unit_resulting_resolution,[],[f1618,f2095,f465]) ).

fof(f2095,plain,
    perp(sK4,sK6,sK5,sK4),
    inference(unit_resulting_resolution,[],[f1618,f399]) ).

fof(f1618,plain,
    perp(sK5,sK4,sK4,sK6),
    inference(unit_resulting_resolution,[],[f379,f1583,f404]) ).

fof(f404,plain,
    ! [X2,X3,X0,X1] :
      ( ~ circle(X3,X0,X1,X2)
      | ~ coll(X3,X0,X2)
      | perp(X0,X1,X1,X2) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f198,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X1,X2)
      | ~ coll(X3,X0,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(flattening,[],[f197]) ).

fof(f197,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X1,X2)
      | ~ coll(X3,X0,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1,X2,X3] :
      ( ( coll(X3,X0,X2)
        & circle(X3,X0,X1,X2) )
     => perp(X0,X1,X1,X2) ),
    inference(rectify,[],[f54]) ).

fof(f54,axiom,
    ! [X0,X1,X2,X7] :
      ( ( coll(X7,X0,X2)
        & circle(X7,X0,X1,X2) )
     => perp(X0,X1,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD53) ).

fof(f1583,plain,
    coll(sK10,sK5,sK6),
    inference(unit_resulting_resolution,[],[f1547,f384]) ).

fof(f1547,plain,
    coll(sK10,sK6,sK5),
    inference(unit_resulting_resolution,[],[f598,f1530,f403]) ).

fof(f1530,plain,
    coll(sK5,sK5,sK10),
    inference(unit_resulting_resolution,[],[f1523,f1523,f403]) ).

fof(f1523,plain,
    coll(sK10,sK10,sK5),
    inference(unit_resulting_resolution,[],[f1507,f1507,f403]) ).

fof(f1507,plain,
    coll(sK5,sK10,sK10),
    inference(unit_resulting_resolution,[],[f1172,f386]) ).

fof(f1172,plain,
    para(sK5,sK10,sK5,sK10),
    inference(unit_resulting_resolution,[],[f990,f974,f465]) ).

fof(f974,plain,
    perp(sK12(sK5,sK4,sK6,sK10),sK5,sK5,sK10),
    inference(unit_resulting_resolution,[],[f379,f414]) ).

fof(f990,plain,
    perp(sK5,sK10,sK12(sK5,sK4,sK6,sK10),sK5),
    inference(unit_resulting_resolution,[],[f974,f399]) ).

fof(f598,plain,
    coll(sK5,sK5,sK6),
    inference(unit_resulting_resolution,[],[f503,f503,f403]) ).

fof(f503,plain,
    coll(sK6,sK7,sK5),
    inference(unit_resulting_resolution,[],[f498,f385]) ).

fof(f385,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(f498,plain,
    coll(sK7,sK6,sK5),
    inference(unit_resulting_resolution,[],[f376,f384]) ).

fof(f376,plain,
    coll(sK7,sK5,sK6),
    inference(cnf_transformation,[],[f330]) ).

fof(f379,plain,
    circle(sK10,sK5,sK4,sK6),
    inference(cnf_transformation,[],[f330]) ).

fof(f1624,plain,
    coll(sK6,sK6,sK10),
    inference(unit_resulting_resolution,[],[f1583,f1583,f403]) ).

fof(f12195,plain,
    ~ cyclic(sK8,sK10,sK4,sK4),
    inference(unit_resulting_resolution,[],[f11622,f394]) ).

fof(f394,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(f11622,plain,
    ~ cyclic(sK8,sK4,sK10,sK4),
    inference(unit_resulting_resolution,[],[f11337,f393]) ).

fof(f393,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(f11337,plain,
    ~ cyclic(sK8,sK4,sK4,sK10),
    inference(unit_resulting_resolution,[],[f11006,f11197,f437]) ).

fof(f437,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(f11197,plain,
    ~ cyclic(sK4,sK4,sK9,sK10),
    inference(unit_resulting_resolution,[],[f380,f11093,f437]) ).

fof(f11093,plain,
    cyclic(sK4,sK4,sK9,sK8),
    inference(unit_resulting_resolution,[],[f10984,f11006,f437]) ).

fof(f10984,plain,
    cyclic(sK8,sK4,sK4,sK8),
    inference(unit_resulting_resolution,[],[f10961,f393]) ).

fof(f10961,plain,
    cyclic(sK8,sK4,sK8,sK4),
    inference(unit_resulting_resolution,[],[f10952,f394]) ).

fof(f10952,plain,
    cyclic(sK8,sK8,sK4,sK4),
    inference(unit_resulting_resolution,[],[f1225,f1207,f411]) ).

fof(f1225,plain,
    coll(sK4,sK4,sK8),
    inference(unit_resulting_resolution,[],[f1218,f1218,f403]) ).

fof(f1218,plain,
    coll(sK8,sK8,sK4),
    inference(unit_resulting_resolution,[],[f1202,f1202,f403]) ).

fof(f1202,plain,
    coll(sK4,sK8,sK8),
    inference(unit_resulting_resolution,[],[f1164,f386]) ).

fof(f380,plain,
    ~ cyclic(sK4,sK9,sK10,sK8),
    inference(cnf_transformation,[],[f330]) ).

fof(f11006,plain,
    cyclic(sK8,sK4,sK4,sK9),
    inference(unit_resulting_resolution,[],[f10972,f393]) ).

fof(f10972,plain,
    cyclic(sK8,sK4,sK9,sK4),
    inference(unit_resulting_resolution,[],[f10953,f394]) ).

fof(f10953,plain,
    cyclic(sK8,sK9,sK4,sK4),
    inference(unit_resulting_resolution,[],[f1306,f1207,f411]) ).

fof(f1306,plain,
    coll(sK4,sK4,sK9),
    inference(unit_resulting_resolution,[],[f1299,f1299,f403]) ).

fof(f1299,plain,
    coll(sK9,sK9,sK4),
    inference(unit_resulting_resolution,[],[f1283,f1283,f403]) ).

fof(f1283,plain,
    coll(sK4,sK9,sK9),
    inference(unit_resulting_resolution,[],[f1166,f386]) ).

fof(f1166,plain,
    para(sK4,sK9,sK4,sK9),
    inference(unit_resulting_resolution,[],[f984,f973,f465]) ).

fof(f973,plain,
    perp(sK12(sK4,sK7,sK5,sK9),sK4,sK4,sK9),
    inference(unit_resulting_resolution,[],[f378,f414]) ).

fof(f378,plain,
    circle(sK9,sK4,sK7,sK5),
    inference(cnf_transformation,[],[f330]) ).

fof(f984,plain,
    perp(sK4,sK9,sK12(sK4,sK7,sK5,sK9),sK4),
    inference(unit_resulting_resolution,[],[f973,f399]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GEO601+1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 21:52:38 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  % (25798)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (25802)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (25799)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (25801)WARNING: value z3 for option sas not known
% 0.14/0.38  TRYING [1]
% 0.14/0.38  % (25800)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  TRYING [2]
% 0.14/0.38  % (25801)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)
% 0.14/0.38  % (25803)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)
% 0.14/0.38  % (25804)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)
% 0.14/0.38  % (25805)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)
% 0.20/0.44  TRYING [3]
% 0.20/0.49  TRYING [1]
% 0.20/0.53  TRYING [2]
% 0.20/0.54  % (25805)First to succeed.
% 0.20/0.54  % (25805)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25798"
% 0.20/0.54  % (25805)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Theorem for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (25805)------------------------------
% 0.20/0.54  % (25805)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.54  % (25805)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (25805)Memory used [KB]: 2129
% 0.20/0.54  % (25805)Time elapsed: 0.165 s
% 0.20/0.54  % (25805)Instructions burned: 234 (million)
% 0.20/0.54  % (25798)Success in time 0.197 s
%------------------------------------------------------------------------------