TSTP Solution File: GEO588+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO588+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 : 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 : Sun May  5 05:28:17 EDT 2024

% Result   : Theorem 83.67s 12.29s
% Output   : Refutation 83.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  364 ( 218 unt;   0 def)
%            Number of atoms       :  688 (   0 equ)
%            Maximal formula atoms :   20 (   1 avg)
%            Number of connectives :  503 ( 179   ~; 161   |; 109   &)
%                                         (   0 <=>;  54  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-4 aty)
%            Number of variables   :  660 ( 626   !;  34   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f818825,plain,
    $false,
    inference(subsumption_resolution,[],[f818824,f66028]) ).

fof(f66028,plain,
    cong(sK11,sK8,sK11,sK8),
    inference(unit_resulting_resolution,[],[f64823,f388]) ).

fof(f388,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X1,X2)
      | cong(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f172,plain,
    ! [X0,X1,X2] :
      ( cong(X0,X1,X0,X2)
      | ~ midp(X0,X1,X2) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => cong(X0,X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD68) ).

fof(f64823,plain,
    midp(sK11,sK8,sK8),
    inference(unit_resulting_resolution,[],[f46992,f34044,f34044,f437]) ).

fof(f437,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ para(X0,X3,X1,X2)
      | midp(X4,X2,X3)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1) ),
    inference(cnf_transformation,[],[f237]) ).

fof(f237,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X2,X3)
      | ~ para(X0,X3,X1,X2)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1) ),
    inference(flattening,[],[f236]) ).

fof(f236,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X2,X3)
      | ~ para(X0,X3,X1,X2)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1) ),
    inference(ennf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( para(X0,X3,X1,X2)
        & para(X0,X2,X1,X3)
        & midp(X4,X0,X1) )
     => midp(X4,X2,X3) ),
    inference(rectify,[],[f65]) ).

fof(f65,axiom,
    ! [X0,X1,X2,X3,X6] :
      ( ( para(X0,X3,X1,X2)
        & para(X0,X2,X1,X3)
        & midp(X6,X0,X1) )
     => midp(X6,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD64) ).

fof(f34044,plain,
    para(sK7,sK8,sK7,sK8),
    inference(unit_resulting_resolution,[],[f25597,f16574,f470]) ).

fof(f470,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/sandbox/benchmark/theBenchmark.p',ruleD9) ).

fof(f16574,plain,
    perp(sK15(sK7,sK9,sK13,sK8),sK7,sK7,sK8),
    inference(unit_resulting_resolution,[],[f379,f419]) ).

fof(f419,plain,
    ! [X2,X3,X0,X1] :
      ( ~ circle(X3,X0,X1,X2)
      | perp(sK15(X0,X1,X2,X3),X0,X0,X3) ),
    inference(cnf_transformation,[],[f334]) ).

fof(f334,plain,
    ! [X0,X1,X2,X3] :
      ( perp(sK15(X0,X1,X2,X3),X0,X0,X3)
      | ~ circle(X3,X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f217,f333]) ).

fof(f333,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( perp(X4,X0,X0,X3)
          | ~ circle(X3,X0,X1,X2) )
     => ( perp(sK15(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/sandbox/benchmark/theBenchmark.p',ruleX11) ).

fof(f379,plain,
    circle(sK8,sK7,sK9,sK13),
    inference(cnf_transformation,[],[f330]) ).

fof(f330,plain,
    ( ~ para(sK10,sK8,sK6,sK11)
    & coll(sK12,sK10,sK11)
    & coll(sK12,sK6,sK8)
    & midp(sK11,sK9,sK5)
    & midp(sK10,sK7,sK4)
    & coll(sK9,sK7,sK6)
    & circle(sK8,sK7,sK9,sK13)
    & circle(sK8,sK4,sK5,sK7)
    & perp(sK4,sK5,sK6,sK7)
    & coll(sK6,sK4,sK5) ),
    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] :
        ( ~ para(X6,X4,X2,X7)
        & coll(X8,X6,X7)
        & coll(X8,X2,X4)
        & midp(X7,X5,X1)
        & midp(X6,X3,X0)
        & coll(X5,X3,X2)
        & circle(X4,X3,X5,X9)
        & circle(X4,X0,X1,X3)
        & perp(X0,X1,X2,X3)
        & coll(X2,X0,X1) )
   => ( ~ para(sK10,sK8,sK6,sK11)
      & coll(sK12,sK10,sK11)
      & coll(sK12,sK6,sK8)
      & midp(sK11,sK9,sK5)
      & midp(sK10,sK7,sK4)
      & coll(sK9,sK7,sK6)
      & circle(sK8,sK7,sK9,sK13)
      & circle(sK8,sK4,sK5,sK7)
      & perp(sK4,sK5,sK6,sK7)
      & coll(sK6,sK4,sK5) ) ),
    introduced(choice_axiom,[]) ).

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

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

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

fof(f96,negated_conjecture,
    ~ ! [X0,X2,X6,X1,X7,X3,X8,X14,X18,X19] :
        ( ( coll(X18,X8,X14)
          & coll(X18,X6,X7)
          & midp(X14,X3,X2)
          & midp(X8,X1,X0)
          & coll(X3,X1,X6)
          & circle(X7,X1,X3,X19)
          & circle(X7,X0,X2,X1)
          & perp(X0,X2,X6,X1)
          & coll(X6,X0,X2) )
       => para(X8,X7,X6,X14) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f95,conjecture,
    ! [X0,X2,X6,X1,X7,X3,X8,X14,X18,X19] :
      ( ( coll(X18,X8,X14)
        & coll(X18,X6,X7)
        & midp(X14,X3,X2)
        & midp(X8,X1,X0)
        & coll(X3,X1,X6)
        & circle(X7,X1,X3,X19)
        & circle(X7,X0,X2,X1)
        & perp(X0,X2,X6,X1)
        & coll(X6,X0,X2) )
     => para(X8,X7,X6,X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416050) ).

fof(f25597,plain,
    perp(sK7,sK8,sK15(sK7,sK9,sK13,sK8),sK7),
    inference(unit_resulting_resolution,[],[f16574,f404]) ).

fof(f404,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/sandbox/benchmark/theBenchmark.p',ruleD8) ).

fof(f46992,plain,
    midp(sK11,sK7,sK7),
    inference(unit_resulting_resolution,[],[f26118,f3147,f27773,f436]) ).

fof(f436,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ para(X3,X4,X1,X2)
      | ~ coll(X4,X0,X2)
      | midp(X4,X0,X2)
      | ~ midp(X3,X0,X1) ),
    inference(cnf_transformation,[],[f235]) ).

fof(f235,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X0,X2)
      | ~ coll(X4,X0,X2)
      | ~ para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1) ),
    inference(flattening,[],[f234]) ).

fof(f234,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X0,X2)
      | ~ coll(X4,X0,X2)
      | ~ para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1) ),
    inference(ennf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( coll(X4,X0,X2)
        & para(X3,X4,X1,X2)
        & midp(X3,X0,X1) )
     => midp(X4,X0,X2) ),
    inference(rectify,[],[f46]) ).

fof(f46,axiom,
    ! [X0,X1,X2,X4,X5] :
      ( ( coll(X5,X0,X2)
        & para(X4,X5,X1,X2)
        & midp(X4,X0,X1) )
     => midp(X5,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD45) ).

fof(f27773,plain,
    para(sK10,sK11,sK7,sK7),
    inference(unit_resulting_resolution,[],[f26831,f16445,f468]) ).

fof(f468,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X2,X3,X4,X5)
      | para(X0,X1,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f278]) ).

fof(f278,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ para(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(flattening,[],[f277]) ).

fof(f277,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ para(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( para(X2,X3,X4,X5)
        & para(X0,X1,X2,X3) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD6) ).

fof(f16445,plain,
    para(sK5,sK5,sK7,sK7),
    inference(unit_resulting_resolution,[],[f16422,f16422,f435]) ).

fof(f435,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X4,X2,X3)
      | para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1) ),
    inference(cnf_transformation,[],[f233]) ).

fof(f233,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X0,X2,X1,X3)
      | ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(flattening,[],[f232]) ).

fof(f232,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X0,X2,X1,X3)
      | ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(ennf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X4,X2,X3)
        & midp(X4,X0,X1) )
     => para(X0,X2,X1,X3) ),
    inference(rectify,[],[f64]) ).

fof(f64,axiom,
    ! [X0,X1,X2,X3,X6] :
      ( ( midp(X6,X2,X3)
        & midp(X6,X0,X1) )
     => para(X0,X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD63) ).

fof(f16422,plain,
    midp(sK10,sK5,sK7),
    inference(unit_resulting_resolution,[],[f2838,f16346,f393]) ).

fof(f393,plain,
    ! [X2,X0,X1] :
      ( ~ cong(X0,X1,X0,X2)
      | ~ coll(X0,X1,X2)
      | midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f178,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(flattening,[],[f177]) ).

fof(f177,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f68]) ).

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

fof(f16346,plain,
    cong(sK10,sK5,sK10,sK7),
    inference(unit_resulting_resolution,[],[f16301,f405]) ).

fof(f405,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X1,X2,X3)
      | cong(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f191]) ).

fof(f191,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X3,X2)
      | ~ cong(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X2,X3)
     => cong(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD23) ).

fof(f16301,plain,
    cong(sK10,sK5,sK7,sK10),
    inference(unit_resulting_resolution,[],[f16244,f406]) ).

fof(f406,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X1,X2,X3)
      | cong(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f192,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X2,X3,X0,X1)
      | ~ cong(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X2,X3)
     => cong(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD24) ).

fof(f16244,plain,
    cong(sK7,sK10,sK10,sK5),
    inference(unit_resulting_resolution,[],[f16220,f405]) ).

fof(f16220,plain,
    cong(sK7,sK10,sK5,sK10),
    inference(unit_resulting_resolution,[],[f381,f15192,f411]) ).

fof(f411,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X1,X2)
      | ~ midp(X3,X0,X2)
      | cong(X0,X3,X1,X3) ),
    inference(cnf_transformation,[],[f202]) ).

fof(f202,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X3,X1,X3)
      | ~ midp(X3,X0,X2)
      | ~ perp(X0,X1,X1,X2) ),
    inference(flattening,[],[f201]) ).

fof(f201,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X3,X1,X3)
      | ~ midp(X3,X0,X2)
      | ~ perp(X0,X1,X1,X2) ),
    inference(ennf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1,X2,X3] :
      ( ( midp(X3,X0,X2)
        & perp(X0,X1,X1,X2) )
     => cong(X0,X3,X1,X3) ),
    inference(rectify,[],[f53]) ).

fof(f53,axiom,
    ! [X0,X1,X2,X6] :
      ( ( midp(X6,X0,X2)
        & perp(X0,X1,X1,X2) )
     => cong(X0,X6,X1,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD52) ).

fof(f15192,plain,
    perp(sK7,sK5,sK5,sK4),
    inference(unit_resulting_resolution,[],[f15181,f403]) ).

fof(f403,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/sandbox/benchmark/theBenchmark.p',ruleD7) ).

fof(f15181,plain,
    perp(sK7,sK5,sK4,sK5),
    inference(unit_resulting_resolution,[],[f15172,f404]) ).

fof(f15172,plain,
    perp(sK4,sK5,sK7,sK5),
    inference(unit_resulting_resolution,[],[f15168,f403]) ).

fof(f15168,plain,
    perp(sK4,sK5,sK5,sK7),
    inference(unit_resulting_resolution,[],[f378,f2936,f409]) ).

fof(f409,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/sandbox/benchmark/theBenchmark.p',ruleD53) ).

fof(f2936,plain,
    coll(sK8,sK4,sK7),
    inference(unit_resulting_resolution,[],[f1063,f1720,f408]) ).

fof(f408,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/sandbox/benchmark/theBenchmark.p',ruleD3) ).

fof(f1720,plain,
    coll(sK7,sK6,sK8),
    inference(unit_resulting_resolution,[],[f1081,f389]) ).

fof(f389,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/sandbox/benchmark/theBenchmark.p',ruleD1) ).

fof(f1081,plain,
    coll(sK7,sK8,sK6),
    inference(unit_resulting_resolution,[],[f807,f809,f408]) ).

fof(f809,plain,
    coll(sK6,sK6,sK8),
    inference(unit_resulting_resolution,[],[f552,f552,f408]) ).

fof(f552,plain,
    coll(sK8,sK12,sK6),
    inference(unit_resulting_resolution,[],[f525,f390]) ).

fof(f390,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/sandbox/benchmark/theBenchmark.p',ruleD2) ).

fof(f525,plain,
    coll(sK12,sK8,sK6),
    inference(unit_resulting_resolution,[],[f383,f389]) ).

fof(f383,plain,
    coll(sK12,sK6,sK8),
    inference(cnf_transformation,[],[f330]) ).

fof(f807,plain,
    coll(sK6,sK6,sK7),
    inference(unit_resulting_resolution,[],[f545,f545,f408]) ).

fof(f545,plain,
    coll(sK7,sK9,sK6),
    inference(unit_resulting_resolution,[],[f380,f390]) ).

fof(f380,plain,
    coll(sK9,sK7,sK6),
    inference(cnf_transformation,[],[f330]) ).

fof(f1063,plain,
    coll(sK7,sK6,sK4),
    inference(unit_resulting_resolution,[],[f800,f808,f408]) ).

fof(f808,plain,
    coll(sK4,sK4,sK7),
    inference(unit_resulting_resolution,[],[f547,f547,f408]) ).

fof(f547,plain,
    coll(sK7,sK10,sK4),
    inference(unit_resulting_resolution,[],[f511,f390]) ).

fof(f511,plain,
    coll(sK10,sK7,sK4),
    inference(unit_resulting_resolution,[],[f381,f387]) ).

fof(f387,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X1,X2)
      | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f171,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
      | ~ midp(X0,X1,X2) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD69) ).

fof(f800,plain,
    coll(sK4,sK4,sK6),
    inference(unit_resulting_resolution,[],[f519,f519,f408]) ).

fof(f519,plain,
    coll(sK6,sK5,sK4),
    inference(unit_resulting_resolution,[],[f376,f389]) ).

fof(f376,plain,
    coll(sK6,sK4,sK5),
    inference(cnf_transformation,[],[f330]) ).

fof(f378,plain,
    circle(sK8,sK4,sK5,sK7),
    inference(cnf_transformation,[],[f330]) ).

fof(f381,plain,
    midp(sK10,sK7,sK4),
    inference(cnf_transformation,[],[f330]) ).

fof(f2838,plain,
    coll(sK10,sK5,sK7),
    inference(unit_resulting_resolution,[],[f592,f1643,f408]) ).

fof(f1643,plain,
    coll(sK7,sK4,sK5),
    inference(unit_resulting_resolution,[],[f1062,f389]) ).

fof(f1062,plain,
    coll(sK7,sK5,sK4),
    inference(unit_resulting_resolution,[],[f796,f808,f408]) ).

fof(f796,plain,
    coll(sK4,sK4,sK5),
    inference(unit_resulting_resolution,[],[f544,f544,f408]) ).

fof(f544,plain,
    coll(sK5,sK6,sK4),
    inference(unit_resulting_resolution,[],[f519,f390]) ).

fof(f592,plain,
    coll(sK7,sK4,sK10),
    inference(unit_resulting_resolution,[],[f547,f389]) ).

fof(f26831,plain,
    para(sK10,sK11,sK5,sK5),
    inference(unit_resulting_resolution,[],[f26167,f26812,f434]) ).

fof(f434,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X4,X0,X2)
      | para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1) ),
    inference(cnf_transformation,[],[f231]) ).

fof(f231,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X3,X4,X1,X2)
      | ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1) ),
    inference(flattening,[],[f230]) ).

fof(f230,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X3,X4,X1,X2)
      | ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1) ),
    inference(ennf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X4,X0,X2)
        & midp(X3,X0,X1) )
     => para(X3,X4,X1,X2) ),
    inference(rectify,[],[f45]) ).

fof(f45,axiom,
    ! [X0,X1,X2,X4,X5] :
      ( ( midp(X5,X0,X2)
        & midp(X4,X0,X1) )
     => para(X4,X5,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD44) ).

fof(f26812,plain,
    midp(sK10,sK5,sK5),
    inference(unit_resulting_resolution,[],[f2728,f26669,f393]) ).

fof(f26669,plain,
    cong(sK10,sK5,sK10,sK5),
    inference(unit_resulting_resolution,[],[f25973,f26658,f411]) ).

fof(f26658,plain,
    midp(sK5,sK10,sK10),
    inference(unit_resulting_resolution,[],[f4042,f26389,f393]) ).

fof(f26389,plain,
    cong(sK5,sK10,sK5,sK10),
    inference(unit_resulting_resolution,[],[f25862,f26289,f407]) ).

fof(f407,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X3,X2,X0,X1)
      | cong(X3,X0,X3,X1)
      | ~ midp(X2,X0,X1) ),
    inference(cnf_transformation,[],[f194]) ).

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

fof(f193,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X3,X0,X3,X1)
      | ~ perp(X3,X2,X0,X1)
      | ~ midp(X2,X0,X1) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1,X2,X3] :
      ( ( perp(X3,X2,X0,X1)
        & midp(X2,X0,X1) )
     => cong(X3,X0,X3,X1) ),
    inference(rectify,[],[f56]) ).

fof(f56,axiom,
    ! [X0,X1,X6,X7] :
      ( ( perp(X7,X6,X0,X1)
        & midp(X6,X0,X1) )
     => cong(X7,X0,X7,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD55) ).

fof(f26289,plain,
    perp(sK5,sK4,sK10,sK10),
    inference(unit_resulting_resolution,[],[f16223,f16223,f414]) ).

fof(f414,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X3,X1,X3)
      | perp(X0,X1,X2,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f208,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(flattening,[],[f207]) ).

fof(f207,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(ennf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0,X1,X2,X3] :
      ( ( cong(X0,X3,X1,X3)
        & cong(X0,X2,X1,X2) )
     => perp(X0,X1,X2,X3) ),
    inference(rectify,[],[f57]) ).

fof(f57,axiom,
    ! [X0,X1,X8,X9] :
      ( ( cong(X0,X9,X1,X9)
        & cong(X0,X8,X1,X8) )
     => perp(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).

fof(f16223,plain,
    cong(sK5,sK10,sK4,sK10),
    inference(unit_resulting_resolution,[],[f16219,f406]) ).

fof(f16219,plain,
    cong(sK4,sK10,sK5,sK10),
    inference(unit_resulting_resolution,[],[f503,f15168,f411]) ).

fof(f503,plain,
    midp(sK10,sK4,sK7),
    inference(unit_resulting_resolution,[],[f381,f386]) ).

fof(f386,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X2,X1,X0)
      | midp(X2,X0,X1) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f170,plain,
    ! [X0,X1,X2] :
      ( midp(X2,X0,X1)
      | ~ midp(X2,X1,X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1,X2] :
      ( midp(X2,X1,X0)
     => midp(X2,X0,X1) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1,X6] :
      ( midp(X6,X1,X0)
     => midp(X6,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD11) ).

fof(f25862,plain,
    midp(sK4,sK10,sK10),
    inference(unit_resulting_resolution,[],[f2209,f25826,f393]) ).

fof(f25826,plain,
    cong(sK4,sK10,sK4,sK10),
    inference(unit_resulting_resolution,[],[f503,f25805,f411]) ).

fof(f25805,plain,
    perp(sK4,sK4,sK4,sK7),
    inference(unit_resulting_resolution,[],[f25776,f403]) ).

fof(f25776,plain,
    perp(sK4,sK4,sK7,sK4),
    inference(unit_resulting_resolution,[],[f25761,f404]) ).

fof(f25761,plain,
    perp(sK7,sK4,sK4,sK4),
    inference(unit_resulting_resolution,[],[f511,f25738,f409]) ).

fof(f25738,plain,
    circle(sK10,sK7,sK4,sK4),
    inference(unit_resulting_resolution,[],[f663,f663,f412]) ).

fof(f412,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X3,X0,X3,X2)
      | circle(X3,X0,X1,X2)
      | ~ cong(X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f204,plain,
    ! [X0,X1,X2,X3] :
      ( circle(X3,X0,X1,X2)
      | ~ cong(X3,X0,X3,X2)
      | ~ cong(X3,X0,X3,X1) ),
    inference(flattening,[],[f203]) ).

fof(f203,plain,
    ! [X0,X1,X2,X3] :
      ( circle(X3,X0,X1,X2)
      | ~ cong(X3,X0,X3,X2)
      | ~ cong(X3,X0,X3,X1) ),
    inference(ennf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1,X2,X3] :
      ( ( cong(X3,X0,X3,X2)
        & cong(X3,X0,X3,X1) )
     => circle(X3,X0,X1,X2) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1,X2,X7] :
      ( ( cong(X7,X0,X7,X2)
        & cong(X7,X0,X7,X1) )
     => circle(X7,X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD12) ).

fof(f663,plain,
    cong(sK10,sK7,sK10,sK4),
    inference(unit_resulting_resolution,[],[f381,f388]) ).

fof(f2209,plain,
    coll(sK4,sK10,sK10),
    inference(unit_resulting_resolution,[],[f1295,f793,f408]) ).

fof(f793,plain,
    coll(sK10,sK10,sK4),
    inference(unit_resulting_resolution,[],[f624,f624,f408]) ).

fof(f624,plain,
    coll(sK4,sK7,sK10),
    inference(unit_resulting_resolution,[],[f548,f389]) ).

fof(f548,plain,
    coll(sK4,sK10,sK7),
    inference(unit_resulting_resolution,[],[f512,f390]) ).

fof(f512,plain,
    coll(sK10,sK4,sK7),
    inference(unit_resulting_resolution,[],[f503,f387]) ).

fof(f1295,plain,
    coll(sK10,sK10,sK10),
    inference(unit_resulting_resolution,[],[f975,f975,f408]) ).

fof(f975,plain,
    coll(sK10,sK12,sK10),
    inference(unit_resulting_resolution,[],[f826,f389]) ).

fof(f826,plain,
    coll(sK10,sK10,sK12),
    inference(unit_resulting_resolution,[],[f526,f526,f408]) ).

fof(f526,plain,
    coll(sK12,sK11,sK10),
    inference(unit_resulting_resolution,[],[f384,f389]) ).

fof(f384,plain,
    coll(sK12,sK10,sK11),
    inference(cnf_transformation,[],[f330]) ).

fof(f4042,plain,
    coll(sK5,sK10,sK10),
    inference(unit_resulting_resolution,[],[f1596,f2218,f408]) ).

fof(f2218,plain,
    coll(sK10,sK4,sK10),
    inference(unit_resulting_resolution,[],[f793,f389]) ).

fof(f1596,plain,
    coll(sK10,sK4,sK5),
    inference(unit_resulting_resolution,[],[f1032,f389]) ).

fof(f1032,plain,
    coll(sK10,sK5,sK4),
    inference(unit_resulting_resolution,[],[f816,f796,f408]) ).

fof(f816,plain,
    coll(sK4,sK4,sK10),
    inference(unit_resulting_resolution,[],[f511,f511,f408]) ).

fof(f25973,plain,
    perp(sK10,sK10,sK10,sK10),
    inference(unit_resulting_resolution,[],[f2209,f25860,f409]) ).

fof(f25860,plain,
    circle(sK4,sK10,sK10,sK10),
    inference(unit_resulting_resolution,[],[f25826,f25826,f412]) ).

fof(f2728,plain,
    coll(sK10,sK5,sK5),
    inference(unit_resulting_resolution,[],[f896,f1589,f408]) ).

fof(f1589,plain,
    coll(sK5,sK4,sK10),
    inference(unit_resulting_resolution,[],[f1029,f389]) ).

fof(f1029,plain,
    coll(sK5,sK10,sK4),
    inference(unit_resulting_resolution,[],[f816,f796,f408]) ).

fof(f896,plain,
    coll(sK5,sK4,sK5),
    inference(unit_resulting_resolution,[],[f792,f389]) ).

fof(f792,plain,
    coll(sK5,sK5,sK4),
    inference(unit_resulting_resolution,[],[f543,f543,f408]) ).

fof(f543,plain,
    coll(sK4,sK6,sK5),
    inference(unit_resulting_resolution,[],[f376,f390]) ).

fof(f26167,plain,
    midp(sK11,sK5,sK5),
    inference(unit_resulting_resolution,[],[f1250,f26029,f393]) ).

fof(f26029,plain,
    cong(sK11,sK5,sK11,sK5),
    inference(unit_resulting_resolution,[],[f25976,f405]) ).

fof(f25976,plain,
    cong(sK11,sK5,sK5,sK11),
    inference(unit_resulting_resolution,[],[f25886,f406]) ).

fof(f25886,plain,
    cong(sK5,sK11,sK11,sK5),
    inference(unit_resulting_resolution,[],[f25833,f405]) ).

fof(f25833,plain,
    cong(sK5,sK11,sK5,sK11),
    inference(unit_resulting_resolution,[],[f504,f25810,f411]) ).

fof(f25810,plain,
    perp(sK5,sK5,sK5,sK9),
    inference(unit_resulting_resolution,[],[f25783,f403]) ).

fof(f25783,plain,
    perp(sK5,sK5,sK9,sK5),
    inference(unit_resulting_resolution,[],[f25765,f404]) ).

fof(f25765,plain,
    perp(sK9,sK5,sK5,sK5),
    inference(unit_resulting_resolution,[],[f513,f25750,f409]) ).

fof(f25750,plain,
    circle(sK11,sK9,sK5,sK5),
    inference(unit_resulting_resolution,[],[f665,f665,f412]) ).

fof(f665,plain,
    cong(sK11,sK9,sK11,sK5),
    inference(unit_resulting_resolution,[],[f382,f388]) ).

fof(f382,plain,
    midp(sK11,sK9,sK5),
    inference(cnf_transformation,[],[f330]) ).

fof(f513,plain,
    coll(sK11,sK9,sK5),
    inference(unit_resulting_resolution,[],[f382,f387]) ).

fof(f504,plain,
    midp(sK11,sK5,sK9),
    inference(unit_resulting_resolution,[],[f382,f386]) ).

fof(f1250,plain,
    coll(sK11,sK5,sK5),
    inference(unit_resulting_resolution,[],[f957,f390]) ).

fof(f957,plain,
    coll(sK5,sK11,sK5),
    inference(unit_resulting_resolution,[],[f820,f389]) ).

fof(f820,plain,
    coll(sK5,sK5,sK11),
    inference(unit_resulting_resolution,[],[f513,f513,f408]) ).

fof(f3147,plain,
    coll(sK11,sK7,sK7),
    inference(unit_resulting_resolution,[],[f928,f1873,f408]) ).

fof(f1873,plain,
    coll(sK7,sK9,sK11),
    inference(unit_resulting_resolution,[],[f1125,f389]) ).

fof(f1125,plain,
    coll(sK7,sK11,sK9),
    inference(unit_resulting_resolution,[],[f806,f819,f408]) ).

fof(f819,plain,
    coll(sK9,sK9,sK11),
    inference(unit_resulting_resolution,[],[f514,f514,f408]) ).

fof(f514,plain,
    coll(sK11,sK5,sK9),
    inference(unit_resulting_resolution,[],[f504,f387]) ).

fof(f806,plain,
    coll(sK9,sK9,sK7),
    inference(unit_resulting_resolution,[],[f572,f572,f408]) ).

fof(f572,plain,
    coll(sK7,sK6,sK9),
    inference(unit_resulting_resolution,[],[f545,f389]) ).

fof(f928,plain,
    coll(sK7,sK9,sK7),
    inference(unit_resulting_resolution,[],[f812,f389]) ).

fof(f812,plain,
    coll(sK7,sK7,sK9),
    inference(unit_resulting_resolution,[],[f520,f520,f408]) ).

fof(f520,plain,
    coll(sK9,sK6,sK7),
    inference(unit_resulting_resolution,[],[f380,f389]) ).

fof(f26118,plain,
    midp(sK10,sK7,sK7),
    inference(unit_resulting_resolution,[],[f1827,f26023,f393]) ).

fof(f26023,plain,
    cong(sK10,sK7,sK10,sK7),
    inference(unit_resulting_resolution,[],[f25918,f25973,f411]) ).

fof(f25918,plain,
    midp(sK7,sK10,sK10),
    inference(unit_resulting_resolution,[],[f2176,f25840,f393]) ).

fof(f25840,plain,
    cong(sK7,sK10,sK7,sK10),
    inference(unit_resulting_resolution,[],[f381,f25815,f411]) ).

fof(f25815,plain,
    perp(sK7,sK7,sK7,sK4),
    inference(unit_resulting_resolution,[],[f25790,f403]) ).

fof(f25790,plain,
    perp(sK7,sK7,sK4,sK7),
    inference(unit_resulting_resolution,[],[f25769,f404]) ).

fof(f25769,plain,
    perp(sK4,sK7,sK7,sK7),
    inference(unit_resulting_resolution,[],[f512,f25742,f409]) ).

fof(f25742,plain,
    circle(sK10,sK4,sK7,sK7),
    inference(unit_resulting_resolution,[],[f664,f664,f412]) ).

fof(f664,plain,
    cong(sK10,sK4,sK10,sK7),
    inference(unit_resulting_resolution,[],[f503,f388]) ).

fof(f2176,plain,
    coll(sK7,sK10,sK10),
    inference(unit_resulting_resolution,[],[f805,f1295,f408]) ).

fof(f805,plain,
    coll(sK10,sK10,sK7),
    inference(unit_resulting_resolution,[],[f592,f592,f408]) ).

fof(f1827,plain,
    coll(sK10,sK7,sK7),
    inference(unit_resulting_resolution,[],[f1110,f390]) ).

fof(f1110,plain,
    coll(sK7,sK10,sK7),
    inference(unit_resulting_resolution,[],[f815,f389]) ).

fof(f815,plain,
    coll(sK7,sK7,sK10),
    inference(unit_resulting_resolution,[],[f512,f512,f408]) ).

fof(f818824,plain,
    ~ cong(sK11,sK8,sK11,sK8),
    inference(subsumption_resolution,[],[f818823,f31325]) ).

fof(f31325,plain,
    cong(sK11,sK4,sK11,sK4),
    inference(unit_resulting_resolution,[],[f26069,f30268,f407]) ).

fof(f30268,plain,
    perp(sK11,sK10,sK4,sK4),
    inference(unit_resulting_resolution,[],[f26179,f26692,f469]) ).

fof(f469,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | perp(X0,X1,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f280]) ).

fof(f280,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( perp(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(flattening,[],[f279]) ).

fof(f279,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( perp(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perp(X2,X3,X4,X5)
        & para(X0,X1,X2,X3) )
     => perp(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD10) ).

fof(f26692,plain,
    perp(sK5,sK4,sK4,sK4),
    inference(unit_resulting_resolution,[],[f1032,f25746,f409]) ).

fof(f25746,plain,
    circle(sK10,sK5,sK4,sK4),
    inference(unit_resulting_resolution,[],[f16240,f16240,f412]) ).

fof(f16240,plain,
    cong(sK10,sK5,sK10,sK4),
    inference(unit_resulting_resolution,[],[f16231,f405]) ).

fof(f16231,plain,
    cong(sK10,sK5,sK4,sK10),
    inference(unit_resulting_resolution,[],[f16224,f406]) ).

fof(f16224,plain,
    cong(sK4,sK10,sK10,sK5),
    inference(unit_resulting_resolution,[],[f16219,f405]) ).

fof(f26179,plain,
    para(sK11,sK10,sK5,sK4),
    inference(unit_resulting_resolution,[],[f16254,f26167,f434]) ).

fof(f16254,plain,
    midp(sK10,sK5,sK4),
    inference(unit_resulting_resolution,[],[f1032,f16240,f393]) ).

fof(f26069,plain,
    midp(sK10,sK4,sK4),
    inference(unit_resulting_resolution,[],[f1204,f26017,f393]) ).

fof(f26017,plain,
    cong(sK10,sK4,sK10,sK4),
    inference(unit_resulting_resolution,[],[f25968,f405]) ).

fof(f25968,plain,
    cong(sK10,sK4,sK4,sK10),
    inference(unit_resulting_resolution,[],[f25858,f406]) ).

fof(f25858,plain,
    cong(sK4,sK10,sK10,sK4),
    inference(unit_resulting_resolution,[],[f25826,f405]) ).

fof(f1204,plain,
    coll(sK10,sK4,sK4),
    inference(unit_resulting_resolution,[],[f937,f390]) ).

fof(f937,plain,
    coll(sK4,sK10,sK4),
    inference(unit_resulting_resolution,[],[f816,f389]) ).

fof(f818823,plain,
    ( ~ cong(sK11,sK4,sK11,sK4)
    | ~ cong(sK11,sK8,sK11,sK8) ),
    inference(subsumption_resolution,[],[f818819,f432115]) ).

fof(f432115,plain,
    ~ perp(sK8,sK11,sK11,sK4),
    inference(unit_resulting_resolution,[],[f47794,f424565,f407]) ).

fof(f424565,plain,
    midp(sK11,sK11,sK4),
    inference(unit_resulting_resolution,[],[f415924,f386]) ).

fof(f415924,plain,
    midp(sK11,sK4,sK11),
    inference(unit_resulting_resolution,[],[f3597,f26676,f412643,f436]) ).

fof(f412643,plain,
    midp(sK10,sK4,sK10),
    inference(unit_resulting_resolution,[],[f256127,f2218,f256105,f436]) ).

fof(f256105,plain,
    para(sK4,sK10,sK4,sK10),
    inference(unit_resulting_resolution,[],[f25918,f256028,f435]) ).

fof(f256028,plain,
    midp(sK7,sK4,sK4),
    inference(unit_resulting_resolution,[],[f1202,f255975,f393]) ).

fof(f255975,plain,
    cong(sK7,sK4,sK7,sK4),
    inference(unit_resulting_resolution,[],[f62095,f61710,f61710,f17265,f467]) ).

fof(f467,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | cong(X0,X1,X3,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f276]) ).

fof(f276,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(flattening,[],[f275]) ).

fof(f275,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f145]) ).

fof(f145,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
        & cyclic(X0,X1,X2,X5)
        & cyclic(X0,X1,X2,X4)
        & cyclic(X0,X1,X2,X3) )
     => cong(X0,X1,X3,X4) ),
    inference(rectify,[],[f44]) ).

fof(f44,axiom,
    ! [X0,X1,X2,X8,X9,X14] :
      ( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
        & cyclic(X0,X1,X2,X14)
        & cyclic(X0,X1,X2,X9)
        & cyclic(X0,X1,X2,X8) )
     => cong(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).

fof(f17265,plain,
    ! [X0,X1] : eqangle(sK4,sK7,X0,X1,sK4,sK7,X0,X1),
    inference(unit_resulting_resolution,[],[f11615,f455]) ).

fof(f455,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/sandbox/benchmark/theBenchmark.p',ruleD40) ).

fof(f11615,plain,
    para(sK4,sK7,sK4,sK7),
    inference(unit_resulting_resolution,[],[f6162,f401]) ).

fof(f401,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/sandbox/benchmark/theBenchmark.p',ruleD4) ).

fof(f6162,plain,
    para(sK4,sK7,sK7,sK4),
    inference(unit_resulting_resolution,[],[f503,f381,f435]) ).

fof(f61710,plain,
    cyclic(sK7,sK4,sK4,sK4),
    inference(unit_resulting_resolution,[],[f1153,f17265,f416]) ).

fof(f416,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/sandbox/benchmark/theBenchmark.p',ruleD42b) ).

fof(f1153,plain,
    coll(sK4,sK4,sK4),
    inference(unit_resulting_resolution,[],[f903,f903,f408]) ).

fof(f903,plain,
    coll(sK4,sK6,sK4),
    inference(unit_resulting_resolution,[],[f800,f389]) ).

fof(f62095,plain,
    cyclic(sK7,sK4,sK4,sK7),
    inference(unit_resulting_resolution,[],[f61786,f398]) ).

fof(f398,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/sandbox/benchmark/theBenchmark.p',ruleD14) ).

fof(f61786,plain,
    cyclic(sK7,sK4,sK7,sK4),
    inference(unit_resulting_resolution,[],[f61713,f399]) ).

fof(f399,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/sandbox/benchmark/theBenchmark.p',ruleD15) ).

fof(f61713,plain,
    cyclic(sK7,sK7,sK4,sK4),
    inference(unit_resulting_resolution,[],[f808,f17265,f416]) ).

fof(f1202,plain,
    coll(sK7,sK4,sK4),
    inference(unit_resulting_resolution,[],[f548,f937,f408]) ).

fof(f256127,plain,
    midp(sK4,sK4,sK4),
    inference(unit_resulting_resolution,[],[f1153,f26094,f256028,f436]) ).

fof(f26094,plain,
    para(sK7,sK4,sK4,sK4),
    inference(unit_resulting_resolution,[],[f381,f26069,f435]) ).

fof(f26676,plain,
    para(sK10,sK11,sK10,sK11),
    inference(unit_resulting_resolution,[],[f25890,f26658,f435]) ).

fof(f25890,plain,
    midp(sK5,sK11,sK11),
    inference(unit_resulting_resolution,[],[f2225,f25833,f393]) ).

fof(f2225,plain,
    coll(sK5,sK11,sK11),
    inference(unit_resulting_resolution,[],[f1009,f797,f408]) ).

fof(f797,plain,
    coll(sK11,sK11,sK5),
    inference(unit_resulting_resolution,[],[f628,f628,f408]) ).

fof(f628,plain,
    coll(sK5,sK9,sK11),
    inference(unit_resulting_resolution,[],[f550,f389]) ).

fof(f550,plain,
    coll(sK5,sK11,sK9),
    inference(unit_resulting_resolution,[],[f514,f390]) ).

fof(f1009,plain,
    coll(sK11,sK11,sK11),
    inference(unit_resulting_resolution,[],[f887,f887,f408]) ).

fof(f887,plain,
    coll(sK11,sK12,sK11),
    inference(unit_resulting_resolution,[],[f825,f389]) ).

fof(f825,plain,
    coll(sK11,sK11,sK12),
    inference(unit_resulting_resolution,[],[f384,f384,f408]) ).

fof(f3597,plain,
    coll(sK11,sK4,sK11),
    inference(unit_resulting_resolution,[],[f2055,f389]) ).

fof(f2055,plain,
    coll(sK11,sK11,sK4),
    inference(unit_resulting_resolution,[],[f1242,f1242,f408]) ).

fof(f1242,plain,
    coll(sK4,sK5,sK11),
    inference(unit_resulting_resolution,[],[f954,f389]) ).

fof(f954,plain,
    coll(sK4,sK11,sK5),
    inference(unit_resulting_resolution,[],[f792,f820,f408]) ).

fof(f47794,plain,
    ~ cong(sK8,sK11,sK8,sK4),
    inference(unit_resulting_resolution,[],[f3414,f47613,f393]) ).

fof(f47613,plain,
    ~ midp(sK8,sK11,sK4),
    inference(unit_resulting_resolution,[],[f47426,f386]) ).

fof(f47426,plain,
    ~ midp(sK8,sK4,sK11),
    inference(unit_resulting_resolution,[],[f681,f46954,f434]) ).

fof(f46954,plain,
    midp(sK10,sK4,sK6),
    inference(unit_resulting_resolution,[],[f503,f1189,f33432,f436]) ).

fof(f33432,plain,
    para(sK10,sK10,sK7,sK6),
    inference(unit_resulting_resolution,[],[f26390,f707,f470]) ).

fof(f707,plain,
    perp(sK5,sK4,sK7,sK6),
    inference(unit_resulting_resolution,[],[f700,f404]) ).

fof(f700,plain,
    perp(sK7,sK6,sK5,sK4),
    inference(unit_resulting_resolution,[],[f692,f403]) ).

fof(f692,plain,
    perp(sK7,sK6,sK4,sK5),
    inference(unit_resulting_resolution,[],[f687,f404]) ).

fof(f687,plain,
    perp(sK4,sK5,sK7,sK6),
    inference(unit_resulting_resolution,[],[f377,f403]) ).

fof(f377,plain,
    perp(sK4,sK5,sK6,sK7),
    inference(cnf_transformation,[],[f330]) ).

fof(f26390,plain,
    perp(sK10,sK10,sK5,sK4),
    inference(unit_resulting_resolution,[],[f26289,f404]) ).

fof(f1189,plain,
    coll(sK10,sK4,sK6),
    inference(unit_resulting_resolution,[],[f932,f389]) ).

fof(f932,plain,
    coll(sK10,sK6,sK4),
    inference(unit_resulting_resolution,[],[f800,f816,f408]) ).

fof(f681,plain,
    ~ para(sK8,sK10,sK11,sK6),
    inference(unit_resulting_resolution,[],[f678,f402]) ).

fof(f402,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/sandbox/benchmark/theBenchmark.p',ruleD5) ).

fof(f678,plain,
    ~ para(sK11,sK6,sK8,sK10),
    inference(unit_resulting_resolution,[],[f674,f401]) ).

fof(f674,plain,
    ~ para(sK11,sK6,sK10,sK8),
    inference(unit_resulting_resolution,[],[f671,f402]) ).

fof(f671,plain,
    ~ para(sK10,sK8,sK11,sK6),
    inference(unit_resulting_resolution,[],[f385,f401]) ).

fof(f385,plain,
    ~ para(sK10,sK8,sK6,sK11),
    inference(cnf_transformation,[],[f330]) ).

fof(f3414,plain,
    coll(sK8,sK11,sK4),
    inference(unit_resulting_resolution,[],[f1713,f2027,f408]) ).

fof(f2027,plain,
    coll(sK4,sK6,sK11),
    inference(unit_resulting_resolution,[],[f1221,f1228,f408]) ).

fof(f1228,plain,
    coll(sK11,sK5,sK4),
    inference(unit_resulting_resolution,[],[f951,f389]) ).

fof(f951,plain,
    coll(sK11,sK4,sK5),
    inference(unit_resulting_resolution,[],[f792,f820,f408]) ).

fof(f1221,plain,
    coll(sK11,sK5,sK6),
    inference(unit_resulting_resolution,[],[f950,f389]) ).

fof(f950,plain,
    coll(sK11,sK6,sK5),
    inference(unit_resulting_resolution,[],[f799,f820,f408]) ).

fof(f799,plain,
    coll(sK5,sK5,sK6),
    inference(unit_resulting_resolution,[],[f376,f376,f408]) ).

fof(f1713,plain,
    coll(sK4,sK6,sK8),
    inference(unit_resulting_resolution,[],[f1080,f389]) ).

fof(f1080,plain,
    coll(sK4,sK8,sK6),
    inference(unit_resulting_resolution,[],[f791,f809,f408]) ).

fof(f791,plain,
    coll(sK6,sK6,sK4),
    inference(unit_resulting_resolution,[],[f568,f568,f408]) ).

fof(f568,plain,
    coll(sK4,sK5,sK6),
    inference(unit_resulting_resolution,[],[f543,f389]) ).

fof(f818819,plain,
    ( perp(sK8,sK11,sK11,sK4)
    | ~ cong(sK11,sK4,sK11,sK4)
    | ~ cong(sK11,sK8,sK11,sK8) ),
    inference(resolution,[],[f138015,f413]) ).

fof(f413,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | perp(X2,X0,X0,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f206,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X0,X0,X3)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(flattening,[],[f205]) ).

fof(f205,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X0,X0,X3)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(ennf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1,X2,X3] :
      ( ( cyclic(X0,X1,X2,X3)
        & cong(X0,X3,X1,X3)
        & cong(X0,X2,X1,X2) )
     => perp(X2,X0,X0,X3) ),
    inference(rectify,[],[f58]) ).

fof(f58,axiom,
    ! [X0,X1,X8,X9] :
      ( ( cyclic(X0,X1,X8,X9)
        & cong(X0,X9,X1,X9)
        & cong(X0,X8,X1,X8) )
     => perp(X8,X0,X0,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD57) ).

fof(f138015,plain,
    cyclic(sK11,sK11,sK8,sK4),
    inference(unit_resulting_resolution,[],[f74295,f80565,f442]) ).

fof(f442,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/sandbox/benchmark/theBenchmark.p',ruleD17) ).

fof(f80565,plain,
    cyclic(sK4,sK11,sK11,sK8),
    inference(unit_resulting_resolution,[],[f64071,f73359,f442]) ).

fof(f73359,plain,
    cyclic(sK4,sK4,sK11,sK8),
    inference(unit_resulting_resolution,[],[f62734,f63685,f442]) ).

fof(f63685,plain,
    cyclic(sK7,sK4,sK4,sK8),
    inference(unit_resulting_resolution,[],[f62601,f398]) ).

fof(f62601,plain,
    cyclic(sK7,sK4,sK8,sK4),
    inference(unit_resulting_resolution,[],[f61714,f399]) ).

fof(f61714,plain,
    cyclic(sK7,sK8,sK4,sK4),
    inference(unit_resulting_resolution,[],[f2876,f17265,f416]) ).

fof(f2876,plain,
    coll(sK4,sK4,sK8),
    inference(unit_resulting_resolution,[],[f1692,f1692,f408]) ).

fof(f1692,plain,
    coll(sK8,sK6,sK4),
    inference(unit_resulting_resolution,[],[f1075,f389]) ).

fof(f1075,plain,
    coll(sK8,sK4,sK6),
    inference(unit_resulting_resolution,[],[f791,f809,f408]) ).

fof(f62734,plain,
    cyclic(sK7,sK4,sK4,sK11),
    inference(unit_resulting_resolution,[],[f61962,f398]) ).

fof(f61962,plain,
    cyclic(sK7,sK4,sK11,sK4),
    inference(unit_resulting_resolution,[],[f61717,f399]) ).

fof(f61717,plain,
    cyclic(sK7,sK11,sK4,sK4),
    inference(unit_resulting_resolution,[],[f2031,f17265,f416]) ).

fof(f2031,plain,
    coll(sK4,sK4,sK11),
    inference(unit_resulting_resolution,[],[f1228,f1228,f408]) ).

fof(f64071,plain,
    cyclic(sK4,sK4,sK11,sK11),
    inference(unit_resulting_resolution,[],[f62734,f62734,f442]) ).

fof(f74295,plain,
    cyclic(sK4,sK11,sK11,sK4),
    inference(unit_resulting_resolution,[],[f64052,f64071,f442]) ).

fof(f64052,plain,
    cyclic(sK4,sK4,sK11,sK4),
    inference(unit_resulting_resolution,[],[f62724,f399]) ).

fof(f62724,plain,
    cyclic(sK4,sK11,sK4,sK4),
    inference(unit_resulting_resolution,[],[f61960,f397]) ).

fof(f397,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/sandbox/benchmark/theBenchmark.p',ruleD16) ).

fof(f61960,plain,
    cyclic(sK11,sK4,sK4,sK4),
    inference(unit_resulting_resolution,[],[f61717,f61717,f442]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GEO588+1 : TPTP v8.1.2. Released v7.5.0.
% 0.15/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -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   : Fri May  3 21:52:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (12230)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.38  % (12233)WARNING: value z3 for option sas not known
% 0.23/0.38  % (12232)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.23/0.38  % (12234)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.23/0.38  % (12233)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)
% 0.23/0.38  % (12235)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)
% 0.23/0.38  % (12231)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.23/0.38  % (12236)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)
% 0.23/0.38  % (12237)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)
% 0.23/0.39  TRYING [1]
% 0.23/0.40  TRYING [2]
% 0.23/0.46  TRYING [3]
% 0.23/0.48  TRYING [1]
% 0.23/0.52  TRYING [2]
% 4.13/0.95  TRYING [1]
% 4.13/0.95  TRYING [2]
% 4.34/1.01  TRYING [3]
% 5.87/1.23  TRYING [3]
% 64.14/9.51  TRYING [4]
% 79.34/11.70  TRYING [4]
% 83.18/12.25  % (12237)First to succeed.
% 83.18/12.26  % (12237)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12230"
% 83.67/12.29  % (12237)Refutation found. Thanks to Tanya!
% 83.67/12.29  % SZS status Theorem for theBenchmark
% 83.67/12.29  % SZS output start Proof for theBenchmark
% See solution above
% 83.67/12.30  % (12237)------------------------------
% 83.67/12.30  % (12237)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 83.67/12.30  % (12237)Termination reason: Refutation
% 83.67/12.30  
% 83.67/12.30  % (12237)Memory used [KB]: 373044
% 83.67/12.30  % (12237)Time elapsed: 11.873 s
% 83.67/12.30  % (12237)Instructions burned: 39541 (million)
% 83.67/12.30  % (12230)Success in time 11.842 s
%------------------------------------------------------------------------------