TSTP Solution File: GEO618+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO618+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 : n007.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 05:35:40 EDT 2024

% Result   : Theorem 31.75s 4.87s
% Output   : Refutation 31.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  213 (  90 unt;   0 def)
%            Number of atoms       :  450 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  376 ( 139   ~; 125   |;  65   &)
%                                         (   0 <=>;  47  =>;   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    :    7 (   7 usr;   6 con; 0-4 aty)
%            Number of variables   :  637 ( 615   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f446074,plain,
    $false,
    inference(subsumption_resolution,[],[f446000,f419648]) ).

fof(f419648,plain,
    ! [X0,X1] : perp(X0,sK6,sK6,X1),
    inference(unit_resulting_resolution,[],[f59879,f242470,f242470,f409]) ).

fof(f409,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(f242470,plain,
    ! [X0] : cong(sK6,X0,sK6,X0),
    inference(unit_resulting_resolution,[],[f242213,f384]) ).

fof(f384,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(f242213,plain,
    ! [X0] : midp(sK6,X0,X0),
    inference(unit_resulting_resolution,[],[f242101,f34877]) ).

fof(f34877,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X2,X2)
      | midp(X0,X1,X1) ),
    inference(subsumption_resolution,[],[f34855,f34677]) ).

fof(f34677,plain,
    ! [X0,X1] : para(X0,X1,X0,X1),
    inference(unit_resulting_resolution,[],[f19302,f461]) ).

fof(f461,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f272]) ).

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

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

fof(f39,axiom,
    ! [X0,X1,X2,X3,X8,X9] :
      ( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
     => para(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).

fof(f19302,plain,
    ! [X0,X1] : eqangle(X0,X1,sK4,sK8,X0,X1,sK4,sK8),
    inference(unit_resulting_resolution,[],[f1925,f488]) ).

fof(f488,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    inference(cnf_transformation,[],[f303]) ).

fof(f303,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f157]) ).

fof(f157,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).

fof(f1925,plain,
    ! [X0,X1] : eqangle(sK4,sK8,X0,X1,sK4,sK8,X0,X1),
    inference(unit_resulting_resolution,[],[f1896,f451]) ).

fof(f451,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(f1896,plain,
    para(sK4,sK8,sK4,sK8),
    inference(unit_resulting_resolution,[],[f1722,f1720,f466]) ).

fof(f466,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(f1720,plain,
    perp(sK11(sK4,sK5,sK6,sK8),sK4,sK4,sK8),
    inference(unit_resulting_resolution,[],[f378,f415]) ).

fof(f415,plain,
    ! [X2,X3,X0,X1] :
      ( ~ circle(X3,X0,X1,X2)
      | perp(sK11(X0,X1,X2,X3),X0,X0,X3) ),
    inference(cnf_transformation,[],[f334]) ).

fof(f334,plain,
    ! [X0,X1,X2,X3] :
      ( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
      | ~ circle(X3,X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f217,f333]) ).

fof(f333,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( perp(X4,X0,X0,X3)
          | ~ circle(X3,X0,X1,X2) )
     => ( perp(sK11(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(f378,plain,
    circle(sK8,sK4,sK5,sK6),
    inference(cnf_transformation,[],[f330]) ).

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

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

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

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

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

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X10,X7,X18] :
        ( ( coll(X18,X1,X2)
          & perp(X0,X7,X0,X18)
          & circle(X7,X0,X1,X2)
          & coll(X10,X1,X2)
          & eqangle(X10,X0,X0,X2,X10,X0,X0,X1) )
       => cong(X18,X0,X18,X10) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X10,X7,X18] :
      ( ( coll(X18,X1,X2)
        & perp(X0,X7,X0,X18)
        & circle(X7,X0,X1,X2)
        & coll(X10,X1,X2)
        & eqangle(X10,X0,X0,X2,X10,X0,X0,X1) )
     => cong(X18,X0,X18,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618080) ).

fof(f1722,plain,
    perp(sK4,sK8,sK11(sK4,sK5,sK6,sK8),sK4),
    inference(unit_resulting_resolution,[],[f1720,f400]) ).

fof(f400,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(f34855,plain,
    ! [X2,X0,X1] :
      ( midp(X0,X1,X1)
      | ~ para(X2,X1,X2,X1)
      | ~ midp(X0,X2,X2) ),
    inference(resolution,[],[f34677,f433]) ).

fof(f433,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(f242101,plain,
    midp(sK6,sK5,sK5),
    inference(unit_resulting_resolution,[],[f242063,f53663]) ).

fof(f53663,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X2,X1,X0)
      | midp(X0,X1,X2) ),
    inference(subsumption_resolution,[],[f53642,f37387]) ).

fof(f37387,plain,
    ! [X2,X0,X1] : coll(X0,X1,X2),
    inference(unit_resulting_resolution,[],[f35231,f35231,f404]) ).

fof(f404,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(f35231,plain,
    ! [X0,X1] : coll(X0,X0,X1),
    inference(unit_resulting_resolution,[],[f34692,f34692,f404]) ).

fof(f34692,plain,
    ! [X0,X1] : coll(X0,X1,X1),
    inference(unit_resulting_resolution,[],[f34677,f387]) ).

fof(f387,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X2)
      | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f175]) ).

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

fof(f67,axiom,
    ! [X0,X1,X2] :
      ( para(X0,X1,X0,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD66) ).

fof(f53642,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | midp(X0,X1,X2)
      | ~ midp(X2,X1,X0) ),
    inference(resolution,[],[f34693,f432]) ).

fof(f432,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(f34693,plain,
    ! [X0,X1] : para(X0,X1,X1,X0),
    inference(unit_resulting_resolution,[],[f34677,f397]) ).

fof(f397,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(f242063,plain,
    midp(sK5,sK5,sK6),
    inference(unit_resulting_resolution,[],[f378,f618,f34489,f435]) ).

fof(f435,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
      | midp(X4,X1,X2)
      | ~ coll(X4,X1,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(cnf_transformation,[],[f241]) ).

fof(f241,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X1,X2)
      | ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
      | ~ coll(X4,X1,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(flattening,[],[f240]) ).

fof(f240,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X1,X2)
      | ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
      | ~ coll(X4,X1,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
        & coll(X4,X1,X2)
        & circle(X3,X0,X1,X2) )
     => midp(X4,X1,X2) ),
    inference(rectify,[],[f52]) ).

fof(f52,axiom,
    ! [X0,X1,X2,X7,X6] :
      ( ( eqangle(X0,X1,X0,X2,X7,X1,X7,X6)
        & coll(X6,X1,X2)
        & circle(X7,X0,X1,X2) )
     => midp(X6,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD51) ).

fof(f34489,plain,
    ! [X0,X1] : eqangle(sK4,sK5,sK4,sK6,X0,X1,X0,X1),
    inference(unit_resulting_resolution,[],[f33720,f491]) ).

fof(f491,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(cnf_transformation,[],[f306]) ).

fof(f306,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f160]) ).

fof(f160,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD21) ).

fof(f33720,plain,
    ! [X0,X1] : eqangle(sK4,sK5,X0,X1,sK4,sK6,X0,X1),
    inference(unit_resulting_resolution,[],[f33699,f451]) ).

fof(f33699,plain,
    para(sK4,sK5,sK4,sK6),
    inference(unit_resulting_resolution,[],[f33685,f398]) ).

fof(f398,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(f33685,plain,
    para(sK4,sK6,sK4,sK5),
    inference(unit_resulting_resolution,[],[f19314,f461]) ).

fof(f19314,plain,
    eqangle(sK4,sK6,sK7,sK4,sK4,sK5,sK7,sK4),
    inference(unit_resulting_resolution,[],[f376,f488]) ).

fof(f376,plain,
    eqangle(sK7,sK4,sK4,sK6,sK7,sK4,sK4,sK5),
    inference(cnf_transformation,[],[f330]) ).

fof(f618,plain,
    coll(sK5,sK5,sK6),
    inference(unit_resulting_resolution,[],[f510,f510,f404]) ).

fof(f510,plain,
    coll(sK6,sK9,sK5),
    inference(unit_resulting_resolution,[],[f500,f386]) ).

fof(f386,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(f500,plain,
    coll(sK9,sK6,sK5),
    inference(unit_resulting_resolution,[],[f380,f385]) ).

fof(f385,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(f380,plain,
    coll(sK9,sK5,sK6),
    inference(cnf_transformation,[],[f330]) ).

fof(f59879,plain,
    ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
    inference(unit_resulting_resolution,[],[f57602,f57602,f438]) ).

fof(f438,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(f57602,plain,
    ! [X2,X0,X1] : cyclic(sK4,X0,X1,X2),
    inference(unit_resulting_resolution,[],[f55969,f55969,f438]) ).

fof(f55969,plain,
    ! [X0,X1] : cyclic(sK4,sK4,X0,X1),
    inference(unit_resulting_resolution,[],[f54387,f54387,f438]) ).

fof(f54387,plain,
    ! [X0] : cyclic(sK9,sK4,sK4,X0),
    inference(unit_resulting_resolution,[],[f53767,f394]) ).

fof(f394,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(f53767,plain,
    ! [X0] : cyclic(sK9,sK4,X0,sK4),
    inference(unit_resulting_resolution,[],[f37441,f395]) ).

fof(f395,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(f37441,plain,
    ! [X0] : cyclic(sK9,X0,sK4,sK4),
    inference(unit_resulting_resolution,[],[f2018,f35231,f412]) ).

fof(f412,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(f2018,plain,
    ! [X0,X1] : eqangle(sK4,sK9,X0,X1,sK4,sK9,X0,X1),
    inference(unit_resulting_resolution,[],[f1876,f451]) ).

fof(f1876,plain,
    para(sK4,sK9,sK4,sK9),
    inference(unit_resulting_resolution,[],[f559,f566,f466]) ).

fof(f566,plain,
    perp(sK8,sK4,sK4,sK9),
    inference(unit_resulting_resolution,[],[f559,f400]) ).

fof(f559,plain,
    perp(sK4,sK9,sK8,sK4),
    inference(unit_resulting_resolution,[],[f554,f399]) ).

fof(f399,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(f554,plain,
    perp(sK4,sK9,sK4,sK8),
    inference(unit_resulting_resolution,[],[f379,f400]) ).

fof(f379,plain,
    perp(sK4,sK8,sK4,sK9),
    inference(cnf_transformation,[],[f330]) ).

fof(f446000,plain,
    ~ perp(sK4,sK6,sK6,sK7),
    inference(unit_resulting_resolution,[],[f78515,f242797,f466]) ).

fof(f242797,plain,
    ~ para(sK9,sK4,sK6,sK7),
    inference(unit_resulting_resolution,[],[f2082,f6175,f242230,f432]) ).

fof(f242230,plain,
    ! [X0] : midp(X0,X0,sK6),
    inference(unit_resulting_resolution,[],[f242145,f382]) ).

fof(f382,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(f242145,plain,
    ! [X0] : midp(X0,sK6,X0),
    inference(unit_resulting_resolution,[],[f37387,f34677,f242074,f432]) ).

fof(f242074,plain,
    midp(sK5,sK6,sK5),
    inference(unit_resulting_resolution,[],[f242063,f382]) ).

fof(f6175,plain,
    ~ midp(sK4,sK9,sK7),
    inference(unit_resulting_resolution,[],[f6155,f382]) ).

fof(f6155,plain,
    ~ midp(sK4,sK7,sK9),
    inference(unit_resulting_resolution,[],[f548,f2145,f1884,f432]) ).

fof(f1884,plain,
    para(sK4,sK9,sK9,sK4),
    inference(unit_resulting_resolution,[],[f559,f570,f466]) ).

fof(f570,plain,
    perp(sK8,sK4,sK9,sK4),
    inference(unit_resulting_resolution,[],[f563,f400]) ).

fof(f563,plain,
    perp(sK9,sK4,sK8,sK4),
    inference(unit_resulting_resolution,[],[f555,f399]) ).

fof(f555,plain,
    perp(sK9,sK4,sK4,sK8),
    inference(unit_resulting_resolution,[],[f550,f400]) ).

fof(f550,plain,
    perp(sK4,sK8,sK9,sK4),
    inference(unit_resulting_resolution,[],[f379,f399]) ).

fof(f2145,plain,
    coll(sK9,sK7,sK4),
    inference(unit_resulting_resolution,[],[f2013,f2082,f404]) ).

fof(f2013,plain,
    coll(sK4,sK9,sK9),
    inference(unit_resulting_resolution,[],[f1876,f387]) ).

fof(f548,plain,
    ~ midp(sK9,sK7,sK4),
    inference(unit_resulting_resolution,[],[f547,f382]) ).

fof(f547,plain,
    ~ midp(sK9,sK4,sK7),
    inference(unit_resulting_resolution,[],[f381,f384]) ).

fof(f381,plain,
    ~ cong(sK9,sK4,sK9,sK7),
    inference(cnf_transformation,[],[f330]) ).

fof(f2082,plain,
    coll(sK4,sK9,sK7),
    inference(unit_resulting_resolution,[],[f2042,f385]) ).

fof(f2042,plain,
    coll(sK4,sK7,sK9),
    inference(unit_resulting_resolution,[],[f869,f2029,f404]) ).

fof(f2029,plain,
    coll(sK9,sK9,sK4),
    inference(unit_resulting_resolution,[],[f2013,f2013,f404]) ).

fof(f869,plain,
    coll(sK9,sK9,sK7),
    inference(unit_resulting_resolution,[],[f717,f717,f404]) ).

fof(f717,plain,
    coll(sK7,sK5,sK9),
    inference(unit_resulting_resolution,[],[f613,f385]) ).

fof(f613,plain,
    coll(sK7,sK9,sK5),
    inference(unit_resulting_resolution,[],[f516,f520,f404]) ).

fof(f520,plain,
    coll(sK5,sK6,sK9),
    inference(unit_resulting_resolution,[],[f508,f385]) ).

fof(f508,plain,
    coll(sK5,sK9,sK6),
    inference(unit_resulting_resolution,[],[f380,f386]) ).

fof(f516,plain,
    coll(sK5,sK6,sK7),
    inference(unit_resulting_resolution,[],[f507,f385]) ).

fof(f507,plain,
    coll(sK5,sK7,sK6),
    inference(unit_resulting_resolution,[],[f377,f386]) ).

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

fof(f78515,plain,
    perp(sK9,sK4,sK4,sK6),
    inference(unit_resulting_resolution,[],[f4182,f77357,f494]) ).

fof(f494,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | ~ perp(X4,X5,X6,X7)
      | perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f312]) ).

fof(f312,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( perp(X0,X1,X2,X3)
      | ~ perp(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(flattening,[],[f311]) ).

fof(f311,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( perp(X0,X1,X2,X3)
      | ~ perp(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f163]) ).

fof(f163,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( perp(X4,X5,X6,X7)
        & eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
     => perp(X0,X1,X2,X3) ),
    inference(rectify,[],[f75]) ).

fof(f75,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( ( perp(X8,X9,X10,X11)
        & eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
     => perp(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD74) ).

fof(f77357,plain,
    perp(sK4,sK9,sK4,sK6),
    inference(unit_resulting_resolution,[],[f34349,f55456,f494]) ).

fof(f55456,plain,
    perp(sK4,sK9,sK4,sK5),
    inference(unit_resulting_resolution,[],[f33775,f29185,f494]) ).

fof(f29185,plain,
    eqangle(sK4,sK9,sK4,sK5,sK6,sK4,sK6,sK5),
    inference(unit_resulting_resolution,[],[f378,f566,f436]) ).

fof(f436,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ circle(X3,X0,X1,X2)
      | ~ perp(X3,X0,X0,X4)
      | eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
    inference(cnf_transformation,[],[f243]) ).

fof(f243,plain,
    ! [X0,X1,X2,X3,X4] :
      ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
      | ~ perp(X3,X0,X0,X4)
      | ~ circle(X3,X0,X1,X2) ),
    inference(flattening,[],[f242]) ).

fof(f242,plain,
    ! [X0,X1,X2,X3,X4] :
      ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
      | ~ perp(X3,X0,X0,X4)
      | ~ circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( perp(X3,X0,X0,X4)
        & circle(X3,X0,X1,X2) )
     => eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
    inference(rectify,[],[f49]) ).

fof(f49,axiom,
    ! [X0,X1,X2,X7,X15] :
      ( ( perp(X7,X0,X0,X15)
        & circle(X7,X0,X1,X2) )
     => eqangle(X0,X15,X0,X1,X2,X0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD48) ).

fof(f33775,plain,
    perp(sK6,sK4,sK6,sK5),
    inference(unit_resulting_resolution,[],[f4254,f33734,f465]) ).

fof(f465,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(f33734,plain,
    para(sK6,sK4,sK4,sK5),
    inference(unit_resulting_resolution,[],[f33717,f398]) ).

fof(f33717,plain,
    para(sK4,sK5,sK6,sK4),
    inference(unit_resulting_resolution,[],[f33699,f397]) ).

fof(f4254,plain,
    perp(sK4,sK5,sK6,sK5),
    inference(unit_resulting_resolution,[],[f3304,f399]) ).

fof(f3304,plain,
    perp(sK4,sK5,sK5,sK6),
    inference(unit_resulting_resolution,[],[f378,f3114,f405]) ).

fof(f405,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(f3114,plain,
    coll(sK8,sK4,sK6),
    inference(unit_resulting_resolution,[],[f2783,f385]) ).

fof(f2783,plain,
    coll(sK8,sK6,sK4),
    inference(unit_resulting_resolution,[],[f1943,f2212,f404]) ).

fof(f2212,plain,
    coll(sK4,sK4,sK6),
    inference(unit_resulting_resolution,[],[f2107,f2107,f404]) ).

fof(f2107,plain,
    coll(sK6,sK9,sK4),
    inference(unit_resulting_resolution,[],[f2046,f385]) ).

fof(f2046,plain,
    coll(sK6,sK4,sK9),
    inference(unit_resulting_resolution,[],[f608,f2029,f404]) ).

fof(f608,plain,
    coll(sK9,sK9,sK6),
    inference(unit_resulting_resolution,[],[f528,f528,f404]) ).

fof(f528,plain,
    coll(sK6,sK5,sK9),
    inference(unit_resulting_resolution,[],[f510,f385]) ).

fof(f1943,plain,
    coll(sK4,sK4,sK8),
    inference(unit_resulting_resolution,[],[f1936,f1936,f404]) ).

fof(f1936,plain,
    coll(sK8,sK8,sK4),
    inference(unit_resulting_resolution,[],[f1918,f1918,f404]) ).

fof(f1918,plain,
    coll(sK4,sK8,sK8),
    inference(unit_resulting_resolution,[],[f1896,f387]) ).

fof(f34349,plain,
    ! [X0,X1] : eqangle(X0,X1,sK4,sK6,X0,X1,sK4,sK5),
    inference(unit_resulting_resolution,[],[f33701,f488]) ).

fof(f33701,plain,
    ! [X0,X1] : eqangle(sK4,sK6,X0,X1,sK4,sK5,X0,X1),
    inference(unit_resulting_resolution,[],[f33685,f451]) ).

fof(f4182,plain,
    ! [X0,X1] : eqangle(sK9,sK4,X0,X1,sK4,sK9,X0,X1),
    inference(unit_resulting_resolution,[],[f1878,f451]) ).

fof(f1878,plain,
    para(sK9,sK4,sK4,sK9),
    inference(unit_resulting_resolution,[],[f563,f566,f466]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : GEO618+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31  % Computer : n007.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Fri May  3 22:00:52 EDT 2024
% 0.16/0.32  % CPUTime    : 
% 0.16/0.32  % (17855)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.34  % (17858)WARNING: value z3 for option sas not known
% 0.16/0.34  % (17859)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.34  % (17862)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.34  % (17860)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.34  % (17856)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.34  % (17857)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.34  % (17861)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.34  % (17858)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.34  TRYING [1]
% 0.16/0.34  TRYING [2]
% 0.16/0.40  TRYING [3]
% 0.16/0.41  TRYING [1]
% 0.16/0.44  TRYING [2]
% 5.88/1.16  TRYING [1]
% 5.88/1.17  TRYING [2]
% 6.39/1.23  TRYING [3]
% 7.97/1.51  TRYING [3]
% 31.54/4.84  % (17862)First to succeed.
% 31.75/4.85  % (17862)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17855"
% 31.75/4.87  % (17862)Refutation found. Thanks to Tanya!
% 31.75/4.87  % SZS status Theorem for theBenchmark
% 31.75/4.87  % SZS output start Proof for theBenchmark
% See solution above
% 31.75/4.87  % (17862)------------------------------
% 31.75/4.87  % (17862)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 31.75/4.87  % (17862)Termination reason: Refutation
% 31.75/4.87  
% 31.75/4.87  % (17862)Memory used [KB]: 56547
% 31.75/4.87  % (17862)Time elapsed: 4.513 s
% 31.75/4.87  % (17862)Instructions burned: 9870 (million)
% 31.75/4.87  % (17855)Success in time 4.536 s
%------------------------------------------------------------------------------