TSTP Solution File: GEO542+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO542+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 05:18:26 EDT 2024

% Result   : Theorem 16.60s 2.77s
% Output   : Refutation 16.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  234 ( 107 unt;   0 def)
%            Number of atoms       :  474 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  385 ( 145   ~; 132   |;  60   &)
%                                         (   0 <=>;  48  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-4 aty)
%            Number of variables   :  556 ( 531   !;  25   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f225128,plain,
    $false,
    inference(subsumption_resolution,[],[f224701,f195004]) ).

fof(f195004,plain,
    cong(sK5,sK10,sK5,sK10),
    inference(unit_resulting_resolution,[],[f186617,f383]) ).

fof(f383,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/sandbox2/benchmark/theBenchmark.p',ruleD68) ).

fof(f186617,plain,
    midp(sK5,sK10,sK10),
    inference(unit_resulting_resolution,[],[f12214,f12214,f178309,f432]) ).

fof(f432,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/sandbox2/benchmark/theBenchmark.p',ruleD64) ).

fof(f178309,plain,
    midp(sK5,sK4,sK4),
    inference(unit_resulting_resolution,[],[f5689,f5689,f177510,f432]) ).

fof(f177510,plain,
    midp(sK5,sK5,sK5),
    inference(unit_resulting_resolution,[],[f20774,f111449,f111449,f432]) ).

fof(f111449,plain,
    para(sK7,sK5,sK9,sK5),
    inference(unit_resulting_resolution,[],[f105865,f107888,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(f107888,plain,
    perp(sK5,sK7,sK9,sK5),
    inference(unit_resulting_resolution,[],[f105864,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(f105864,plain,
    perp(sK9,sK5,sK5,sK7),
    inference(unit_resulting_resolution,[],[f6563,f34770,f6542,f408]) ).

fof(f408,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/sandbox2/benchmark/theBenchmark.p',ruleD57) ).

fof(f6542,plain,
    cong(sK5,sK7,sK5,sK7),
    inference(unit_resulting_resolution,[],[f498,f6509,f406]) ).

fof(f406,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/sandbox2/benchmark/theBenchmark.p',ruleD52) ).

fof(f6509,plain,
    perp(sK5,sK5,sK5,sK6),
    inference(unit_resulting_resolution,[],[f6468,f398]) ).

fof(f398,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/benchmark/theBenchmark.p',ruleD7) ).

fof(f6468,plain,
    perp(sK5,sK5,sK6,sK5),
    inference(unit_resulting_resolution,[],[f6442,f399]) ).

fof(f6442,plain,
    perp(sK6,sK5,sK5,sK5),
    inference(unit_resulting_resolution,[],[f510,f6429,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(f6429,plain,
    circle(sK7,sK6,sK5,sK5),
    inference(unit_resulting_resolution,[],[f594,f594,f407]) ).

fof(f407,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/sandbox2/benchmark/theBenchmark.p',ruleD12) ).

fof(f594,plain,
    cong(sK7,sK6,sK7,sK5),
    inference(unit_resulting_resolution,[],[f376,f383]) ).

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

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

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

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

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

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X18,X19,X20,X7] :
        ( ( circle(X7,X0,X1,X2)
          & midp(X20,X1,X0)
          & midp(X19,X2,X0)
          & midp(X18,X2,X1) )
       => perp(X7,X18,X19,X20) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X18,X19,X20,X7] :
      ( ( circle(X7,X0,X1,X2)
        & midp(X20,X1,X0)
        & midp(X19,X2,X0)
        & midp(X18,X2,X1) )
     => perp(X7,X18,X19,X20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012002) ).

fof(f510,plain,
    coll(sK7,sK6,sK5),
    inference(unit_resulting_resolution,[],[f376,f382]) ).

fof(f382,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/sandbox2/benchmark/theBenchmark.p',ruleD69) ).

fof(f498,plain,
    midp(sK7,sK5,sK6),
    inference(unit_resulting_resolution,[],[f376,f381]) ).

fof(f381,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/sandbox2/benchmark/theBenchmark.p',ruleD11) ).

fof(f34770,plain,
    cyclic(sK5,sK5,sK9,sK7),
    inference(unit_resulting_resolution,[],[f33813,f33846,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(f33846,plain,
    cyclic(sK4,sK5,sK5,sK9),
    inference(unit_resulting_resolution,[],[f33384,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(f33384,plain,
    cyclic(sK4,sK5,sK9,sK5),
    inference(unit_resulting_resolution,[],[f33198,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(f33198,plain,
    cyclic(sK4,sK9,sK5,sK5),
    inference(unit_resulting_resolution,[],[f737,f6210,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(f6210,plain,
    ! [X0,X1] : eqangle(sK5,sK4,X0,X1,sK5,sK4,X0,X1),
    inference(unit_resulting_resolution,[],[f5689,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(f737,plain,
    coll(sK5,sK5,sK9),
    inference(unit_resulting_resolution,[],[f515,f515,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(f515,plain,
    coll(sK9,sK4,sK5),
    inference(unit_resulting_resolution,[],[f500,f382]) ).

fof(f500,plain,
    midp(sK9,sK4,sK5),
    inference(unit_resulting_resolution,[],[f378,f381]) ).

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

fof(f33813,plain,
    cyclic(sK4,sK5,sK5,sK7),
    inference(unit_resulting_resolution,[],[f33373,f393]) ).

fof(f33373,plain,
    cyclic(sK4,sK5,sK7,sK5),
    inference(unit_resulting_resolution,[],[f33196,f394]) ).

fof(f33196,plain,
    cyclic(sK4,sK7,sK5,sK5),
    inference(unit_resulting_resolution,[],[f744,f6210,f411]) ).

fof(f744,plain,
    coll(sK5,sK5,sK7),
    inference(unit_resulting_resolution,[],[f510,f510,f403]) ).

fof(f6563,plain,
    cong(sK5,sK9,sK5,sK9),
    inference(unit_resulting_resolution,[],[f378,f6524,f406]) ).

fof(f6524,plain,
    perp(sK5,sK5,sK5,sK4),
    inference(unit_resulting_resolution,[],[f6489,f398]) ).

fof(f6489,plain,
    perp(sK5,sK5,sK4,sK5),
    inference(unit_resulting_resolution,[],[f6454,f399]) ).

fof(f6454,plain,
    perp(sK4,sK5,sK5,sK5),
    inference(unit_resulting_resolution,[],[f515,f6426,f404]) ).

fof(f6426,plain,
    circle(sK9,sK4,sK5,sK5),
    inference(unit_resulting_resolution,[],[f599,f599,f407]) ).

fof(f599,plain,
    cong(sK9,sK4,sK9,sK5),
    inference(unit_resulting_resolution,[],[f500,f383]) ).

fof(f105865,plain,
    perp(sK7,sK5,sK5,sK7),
    inference(unit_resulting_resolution,[],[f671,f37926,f671,f408]) ).

fof(f37926,plain,
    cyclic(sK5,sK6,sK7,sK7),
    inference(unit_resulting_resolution,[],[f34723,f34723,f437]) ).

fof(f34723,plain,
    cyclic(sK5,sK5,sK6,sK7),
    inference(unit_resulting_resolution,[],[f33791,f33813,f437]) ).

fof(f33791,plain,
    cyclic(sK4,sK5,sK5,sK6),
    inference(unit_resulting_resolution,[],[f33362,f393]) ).

fof(f33362,plain,
    cyclic(sK4,sK5,sK6,sK5),
    inference(unit_resulting_resolution,[],[f33195,f394]) ).

fof(f33195,plain,
    cyclic(sK4,sK6,sK5,sK5),
    inference(unit_resulting_resolution,[],[f746,f6210,f411]) ).

fof(f746,plain,
    coll(sK5,sK5,sK6),
    inference(unit_resulting_resolution,[],[f534,f534,f403]) ).

fof(f534,plain,
    coll(sK6,sK7,sK5),
    inference(unit_resulting_resolution,[],[f510,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(f671,plain,
    cong(sK5,sK7,sK6,sK7),
    inference(unit_resulting_resolution,[],[f647,f400]) ).

fof(f400,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/sandbox2/benchmark/theBenchmark.p',ruleD23) ).

fof(f647,plain,
    cong(sK5,sK7,sK7,sK6),
    inference(unit_resulting_resolution,[],[f622,f401]) ).

fof(f401,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/sandbox2/benchmark/theBenchmark.p',ruleD24) ).

fof(f622,plain,
    cong(sK7,sK6,sK5,sK7),
    inference(unit_resulting_resolution,[],[f594,f400]) ).

fof(f20774,plain,
    midp(sK5,sK7,sK9),
    inference(unit_resulting_resolution,[],[f1451,f6712,f20296,f431]) ).

fof(f431,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/sandbox2/benchmark/theBenchmark.p',ruleD45) ).

fof(f20296,plain,
    midp(sK4,sK7,sK9),
    inference(unit_resulting_resolution,[],[f6733,f1437,f5170,f431]) ).

fof(f5170,plain,
    para(sK6,sK4,sK7,sK9),
    inference(unit_resulting_resolution,[],[f5137,f397]) ).

fof(f397,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/benchmark/theBenchmark.p',ruleD5) ).

fof(f5137,plain,
    para(sK7,sK9,sK6,sK4),
    inference(unit_resulting_resolution,[],[f498,f378,f429]) ).

fof(f429,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/sandbox2/benchmark/theBenchmark.p',ruleD44) ).

fof(f1437,plain,
    coll(sK4,sK7,sK9),
    inference(unit_resulting_resolution,[],[f512,f964,f403]) ).

fof(f964,plain,
    coll(sK9,sK5,sK7),
    inference(unit_resulting_resolution,[],[f800,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(f800,plain,
    coll(sK9,sK7,sK5),
    inference(unit_resulting_resolution,[],[f744,f737,f403]) ).

fof(f512,plain,
    coll(sK9,sK5,sK4),
    inference(unit_resulting_resolution,[],[f378,f382]) ).

fof(f6733,plain,
    midp(sK6,sK7,sK7),
    inference(unit_resulting_resolution,[],[f1257,f6570,f388]) ).

fof(f388,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/sandbox2/benchmark/theBenchmark.p',ruleD67) ).

fof(f6570,plain,
    cong(sK6,sK7,sK6,sK7),
    inference(unit_resulting_resolution,[],[f376,f6529,f406]) ).

fof(f6529,plain,
    perp(sK6,sK6,sK6,sK5),
    inference(unit_resulting_resolution,[],[f6496,f398]) ).

fof(f6496,plain,
    perp(sK6,sK6,sK5,sK6),
    inference(unit_resulting_resolution,[],[f6458,f399]) ).

fof(f6458,plain,
    perp(sK5,sK6,sK6,sK6),
    inference(unit_resulting_resolution,[],[f513,f6428,f404]) ).

fof(f6428,plain,
    circle(sK7,sK5,sK6,sK6),
    inference(unit_resulting_resolution,[],[f597,f597,f407]) ).

fof(f597,plain,
    cong(sK7,sK5,sK7,sK6),
    inference(unit_resulting_resolution,[],[f498,f383]) ).

fof(f513,plain,
    coll(sK7,sK5,sK6),
    inference(unit_resulting_resolution,[],[f498,f382]) ).

fof(f1257,plain,
    coll(sK6,sK7,sK7),
    inference(unit_resulting_resolution,[],[f911,f385]) ).

fof(f911,plain,
    coll(sK7,sK6,sK7),
    inference(unit_resulting_resolution,[],[f739,f384]) ).

fof(f739,plain,
    coll(sK7,sK7,sK6),
    inference(unit_resulting_resolution,[],[f547,f547,f403]) ).

fof(f547,plain,
    coll(sK6,sK5,sK7),
    inference(unit_resulting_resolution,[],[f534,f384]) ).

fof(f6712,plain,
    para(sK4,sK5,sK9,sK9),
    inference(unit_resulting_resolution,[],[f6585,f6701,f429]) ).

fof(f6701,plain,
    midp(sK5,sK9,sK9),
    inference(unit_resulting_resolution,[],[f1239,f6563,f388]) ).

fof(f1239,plain,
    coll(sK5,sK9,sK9),
    inference(unit_resulting_resolution,[],[f897,f385]) ).

fof(f897,plain,
    coll(sK9,sK5,sK9),
    inference(unit_resulting_resolution,[],[f734,f384]) ).

fof(f734,plain,
    coll(sK9,sK9,sK5),
    inference(unit_resulting_resolution,[],[f555,f555,f403]) ).

fof(f555,plain,
    coll(sK5,sK4,sK9),
    inference(unit_resulting_resolution,[],[f536,f384]) ).

fof(f536,plain,
    coll(sK5,sK9,sK4),
    inference(unit_resulting_resolution,[],[f512,f385]) ).

fof(f6585,plain,
    midp(sK4,sK9,sK9),
    inference(unit_resulting_resolution,[],[f1237,f6535,f388]) ).

fof(f6535,plain,
    cong(sK4,sK9,sK4,sK9),
    inference(unit_resulting_resolution,[],[f500,f6504,f406]) ).

fof(f6504,plain,
    perp(sK4,sK4,sK4,sK5),
    inference(unit_resulting_resolution,[],[f6461,f398]) ).

fof(f6461,plain,
    perp(sK4,sK4,sK5,sK4),
    inference(unit_resulting_resolution,[],[f6438,f399]) ).

fof(f6438,plain,
    perp(sK5,sK4,sK4,sK4),
    inference(unit_resulting_resolution,[],[f512,f6427,f404]) ).

fof(f6427,plain,
    circle(sK9,sK5,sK4,sK4),
    inference(unit_resulting_resolution,[],[f596,f596,f407]) ).

fof(f596,plain,
    cong(sK9,sK5,sK9,sK4),
    inference(unit_resulting_resolution,[],[f378,f383]) ).

fof(f1237,plain,
    coll(sK4,sK9,sK9),
    inference(unit_resulting_resolution,[],[f512,f897,f403]) ).

fof(f1451,plain,
    coll(sK5,sK7,sK9),
    inference(unit_resulting_resolution,[],[f971,f385]) ).

fof(f971,plain,
    coll(sK7,sK5,sK9),
    inference(unit_resulting_resolution,[],[f802,f384]) ).

fof(f802,plain,
    coll(sK7,sK9,sK5),
    inference(unit_resulting_resolution,[],[f744,f737,f403]) ).

fof(f5689,plain,
    para(sK5,sK4,sK5,sK4),
    inference(unit_resulting_resolution,[],[f5640,f396]) ).

fof(f396,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/benchmark/theBenchmark.p',ruleD4) ).

fof(f5640,plain,
    para(sK5,sK4,sK4,sK5),
    inference(unit_resulting_resolution,[],[f378,f500,f430]) ).

fof(f430,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/sandbox2/benchmark/theBenchmark.p',ruleD63) ).

fof(f12214,plain,
    para(sK4,sK10,sK4,sK10),
    inference(unit_resulting_resolution,[],[f6167,f6165,f465]) ).

fof(f6165,plain,
    perp(sK12(sK4,sK5,sK6,sK10),sK4,sK4,sK10),
    inference(unit_resulting_resolution,[],[f379,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(f379,plain,
    circle(sK10,sK4,sK5,sK6),
    inference(cnf_transformation,[],[f330]) ).

fof(f6167,plain,
    perp(sK4,sK10,sK12(sK4,sK5,sK6,sK10),sK4),
    inference(unit_resulting_resolution,[],[f6165,f399]) ).

fof(f224701,plain,
    ~ cong(sK5,sK10,sK5,sK10),
    inference(unit_resulting_resolution,[],[f6542,f10508,f409]) ).

fof(f409,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/sandbox2/benchmark/theBenchmark.p',ruleD56) ).

fof(f10508,plain,
    ~ perp(sK5,sK5,sK10,sK7),
    inference(unit_resulting_resolution,[],[f7330,f9687,f464]) ).

fof(f464,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/sandbox2/benchmark/theBenchmark.p',ruleD10) ).

fof(f9687,plain,
    ~ perp(sK5,sK6,sK10,sK7),
    inference(unit_resulting_resolution,[],[f5141,f609,f464]) ).

fof(f609,plain,
    ~ perp(sK9,sK8,sK10,sK7),
    inference(unit_resulting_resolution,[],[f606,f399]) ).

fof(f606,plain,
    ~ perp(sK10,sK7,sK9,sK8),
    inference(unit_resulting_resolution,[],[f380,f398]) ).

fof(f380,plain,
    ~ perp(sK10,sK7,sK8,sK9),
    inference(cnf_transformation,[],[f330]) ).

fof(f5141,plain,
    para(sK9,sK8,sK5,sK6),
    inference(unit_resulting_resolution,[],[f500,f499,f429]) ).

fof(f499,plain,
    midp(sK8,sK4,sK6),
    inference(unit_resulting_resolution,[],[f377,f381]) ).

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

fof(f7330,plain,
    para(sK5,sK6,sK5,sK5),
    inference(unit_resulting_resolution,[],[f376,f7304,f430]) ).

fof(f7304,plain,
    midp(sK7,sK5,sK5),
    inference(unit_resulting_resolution,[],[f866,f7024,f388]) ).

fof(f7024,plain,
    cong(sK7,sK5,sK7,sK5),
    inference(unit_resulting_resolution,[],[f6847,f400]) ).

fof(f6847,plain,
    cong(sK7,sK5,sK5,sK7),
    inference(unit_resulting_resolution,[],[f6609,f401]) ).

fof(f6609,plain,
    cong(sK5,sK7,sK7,sK5),
    inference(unit_resulting_resolution,[],[f6542,f400]) ).

fof(f866,plain,
    coll(sK7,sK5,sK5),
    inference(unit_resulting_resolution,[],[f780,f385]) ).

fof(f780,plain,
    coll(sK5,sK7,sK5),
    inference(unit_resulting_resolution,[],[f744,f384]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GEO542+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 22:01:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (21964)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (21967)WARNING: value z3 for option sas not known
% 0.14/0.37  % (21970)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)
% 0.14/0.37  % (21965)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  % (21969)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)
% 0.14/0.37  % (21967)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)
% 0.14/0.37  % (21966)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  % (21968)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (21971)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)
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.21/0.44  TRYING [3]
% 0.21/0.46  TRYING [1]
% 0.21/0.50  TRYING [2]
% 2.99/0.77  TRYING [1]
% 2.99/0.78  TRYING [2]
% 2.99/0.81  TRYING [3]
% 5.16/1.09  TRYING [3]
% 16.60/2.76  % (21971)First to succeed.
% 16.60/2.77  % (21971)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21964"
% 16.60/2.77  % (21971)Refutation found. Thanks to Tanya!
% 16.60/2.77  % SZS status Theorem for theBenchmark
% 16.60/2.77  % SZS output start Proof for theBenchmark
% See solution above
% 16.60/2.78  % (21971)------------------------------
% 16.60/2.78  % (21971)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 16.60/2.78  % (21971)Termination reason: Refutation
% 16.60/2.78  
% 16.60/2.78  % (21971)Memory used [KB]: 61626
% 16.60/2.78  % (21971)Time elapsed: 2.398 s
% 16.60/2.78  % (21971)Instructions burned: 8894 (million)
% 16.60/2.78  % (21964)Success in time 2.413 s
%------------------------------------------------------------------------------