TSTP Solution File: GEO629+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO629+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 : n008.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 : Tue Apr 30 11:35:56 EDT 2024

% Result   : Theorem 27.02s 4.24s
% Output   : Refutation 27.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  260 ( 169 unt;   0 def)
%            Number of atoms       :  519 (   0 equ)
%            Maximal formula atoms :   28 (   1 avg)
%            Number of connectives :  373 ( 114   ~; 100   |; 126   &)
%                                         (   0 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   14 (  14 usr;  14 con; 0-0 aty)
%            Number of variables   :  466 ( 424   !;  42   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f190823,plain,
    $false,
    inference(subsumption_resolution,[],[f190808,f120478]) ).

fof(f120478,plain,
    ~ para(sK10,sK10,sK13,sK11),
    inference(unit_resulting_resolution,[],[f14644,f111418,f119394,f440]) ).

fof(f440,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(f119394,plain,
    midp(sK10,sK12,sK13),
    inference(unit_resulting_resolution,[],[f1707,f10756,f119047,f440]) ).

fof(f119047,plain,
    midp(sK8,sK12,sK11),
    inference(unit_resulting_resolution,[],[f18227,f10765,f118967,f440]) ).

fof(f118967,plain,
    midp(sK9,sK12,sK12),
    inference(unit_resulting_resolution,[],[f1404,f107531,f397]) ).

fof(f397,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(f107531,plain,
    cong(sK9,sK12,sK9,sK12),
    inference(unit_resulting_resolution,[],[f34415,f35547,f22278,f10433,f471]) ).

fof(f471,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/sandbox2/benchmark/theBenchmark.p',ruleD43) ).

fof(f10433,plain,
    ! [X0,X1] : eqangle(sK10,sK9,X0,X1,sK10,sK9,X0,X1),
    inference(unit_resulting_resolution,[],[f10219,f459]) ).

fof(f459,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(f10219,plain,
    para(sK10,sK9,sK10,sK9),
    inference(unit_resulting_resolution,[],[f629,f618,f472]) ).

fof(f472,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/sandbox2/benchmark/theBenchmark.p',ruleD6) ).

fof(f618,plain,
    para(sK14,sK11,sK10,sK9),
    inference(unit_resulting_resolution,[],[f611,f405]) ).

fof(f405,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(f611,plain,
    para(sK14,sK11,sK9,sK10),
    inference(unit_resulting_resolution,[],[f387,f406]) ).

fof(f406,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(f387,plain,
    para(sK9,sK10,sK14,sK11),
    inference(cnf_transformation,[],[f330]) ).

fof(f330,plain,
    ( ~ para(sK14,sK8,sK13,sK12)
    & circle(sK7,sK4,sK14,sK17)
    & para(sK9,sK10,sK14,sK11)
    & coll(sK13,sK4,sK5)
    & perp(sK13,sK11,sK4,sK5)
    & coll(sK12,sK4,sK6)
    & perp(sK12,sK11,sK4,sK6)
    & circle(sK7,sK4,sK11,sK16)
    & coll(sK10,sK4,sK5)
    & perp(sK10,sK8,sK4,sK5)
    & coll(sK9,sK4,sK6)
    & perp(sK9,sK8,sK4,sK6)
    & circle(sK7,sK4,sK8,sK15)
    & circle(sK7,sK4,sK5,sK6) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17])],[f169,f329]) ).

fof(f329,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
        ( ~ para(X10,X4,X9,X8)
        & circle(X3,X0,X10,X13)
        & para(X5,X6,X10,X7)
        & coll(X9,X0,X1)
        & perp(X9,X7,X0,X1)
        & coll(X8,X0,X2)
        & perp(X8,X7,X0,X2)
        & circle(X3,X0,X7,X12)
        & coll(X6,X0,X1)
        & perp(X6,X4,X0,X1)
        & coll(X5,X0,X2)
        & perp(X5,X4,X0,X2)
        & circle(X3,X0,X4,X11)
        & circle(X3,X0,X1,X2) )
   => ( ~ para(sK14,sK8,sK13,sK12)
      & circle(sK7,sK4,sK14,sK17)
      & para(sK9,sK10,sK14,sK11)
      & coll(sK13,sK4,sK5)
      & perp(sK13,sK11,sK4,sK5)
      & coll(sK12,sK4,sK6)
      & perp(sK12,sK11,sK4,sK6)
      & circle(sK7,sK4,sK11,sK16)
      & coll(sK10,sK4,sK5)
      & perp(sK10,sK8,sK4,sK5)
      & coll(sK9,sK4,sK6)
      & perp(sK9,sK8,sK4,sK6)
      & circle(sK7,sK4,sK8,sK15)
      & circle(sK7,sK4,sK5,sK6) ) ),
    introduced(choice_axiom,[]) ).

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

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

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

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X7,X18,X19,X20,X8,X5,X12,X21,X22,X23,X24] :
        ( ( circle(X7,X0,X21,X24)
          & para(X19,X20,X21,X8)
          & coll(X12,X0,X1)
          & perp(X12,X8,X0,X1)
          & coll(X5,X0,X2)
          & perp(X5,X8,X0,X2)
          & circle(X7,X0,X8,X23)
          & coll(X20,X0,X1)
          & perp(X20,X18,X0,X1)
          & coll(X19,X0,X2)
          & perp(X19,X18,X0,X2)
          & circle(X7,X0,X18,X22)
          & circle(X7,X0,X1,X2) )
       => para(X21,X18,X12,X5) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X7,X18,X19,X20,X8,X5,X12,X21,X22,X23,X24] :
      ( ( circle(X7,X0,X21,X24)
        & para(X19,X20,X21,X8)
        & coll(X12,X0,X1)
        & perp(X12,X8,X0,X1)
        & coll(X5,X0,X2)
        & perp(X5,X8,X0,X2)
        & circle(X7,X0,X8,X23)
        & coll(X20,X0,X1)
        & perp(X20,X18,X0,X1)
        & coll(X19,X0,X2)
        & perp(X19,X18,X0,X2)
        & circle(X7,X0,X18,X22)
        & circle(X7,X0,X1,X2) )
     => para(X21,X18,X12,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110992) ).

fof(f629,plain,
    para(sK10,sK9,sK14,sK11),
    inference(unit_resulting_resolution,[],[f618,f406]) ).

fof(f22278,plain,
    cyclic(sK9,sK12,sK10,sK10),
    inference(unit_resulting_resolution,[],[f1659,f10433,f420]) ).

fof(f420,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(f1659,plain,
    coll(sK10,sK10,sK12),
    inference(unit_resulting_resolution,[],[f1119,f1119,f412]) ).

fof(f412,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(f1119,plain,
    coll(sK12,sK4,sK10),
    inference(unit_resulting_resolution,[],[f903,f393]) ).

fof(f393,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(f903,plain,
    coll(sK12,sK10,sK4),
    inference(unit_resulting_resolution,[],[f799,f806,f412]) ).

fof(f806,plain,
    coll(sK4,sK4,sK12),
    inference(unit_resulting_resolution,[],[f509,f509,f412]) ).

fof(f509,plain,
    coll(sK12,sK6,sK4),
    inference(unit_resulting_resolution,[],[f384,f393]) ).

fof(f384,plain,
    coll(sK12,sK4,sK6),
    inference(cnf_transformation,[],[f330]) ).

fof(f799,plain,
    coll(sK4,sK4,sK10),
    inference(unit_resulting_resolution,[],[f508,f508,f412]) ).

fof(f508,plain,
    coll(sK10,sK5,sK4),
    inference(unit_resulting_resolution,[],[f381,f393]) ).

fof(f381,plain,
    coll(sK10,sK4,sK5),
    inference(cnf_transformation,[],[f330]) ).

fof(f35547,plain,
    cyclic(sK9,sK12,sK10,sK12),
    inference(unit_resulting_resolution,[],[f34394,f34400,f446]) ).

fof(f446,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(f34400,plain,
    cyclic(sK9,sK9,sK12,sK12),
    inference(unit_resulting_resolution,[],[f33818,f33818,f446]) ).

fof(f33818,plain,
    cyclic(sK10,sK9,sK9,sK12),
    inference(unit_resulting_resolution,[],[f33551,f402]) ).

fof(f402,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(f33551,plain,
    cyclic(sK10,sK9,sK12,sK9),
    inference(unit_resulting_resolution,[],[f22268,f403]) ).

fof(f403,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(f22268,plain,
    cyclic(sK10,sK12,sK9,sK9),
    inference(unit_resulting_resolution,[],[f1383,f10235,f420]) ).

fof(f10235,plain,
    ! [X0,X1] : eqangle(sK9,sK10,X0,X1,sK9,sK10,X0,X1),
    inference(unit_resulting_resolution,[],[f10216,f459]) ).

fof(f10216,plain,
    para(sK9,sK10,sK9,sK10),
    inference(unit_resulting_resolution,[],[f387,f611,f472]) ).

fof(f1383,plain,
    coll(sK9,sK9,sK12),
    inference(unit_resulting_resolution,[],[f1011,f1011,f412]) ).

fof(f1011,plain,
    coll(sK12,sK4,sK9),
    inference(unit_resulting_resolution,[],[f808,f393]) ).

fof(f808,plain,
    coll(sK12,sK9,sK4),
    inference(unit_resulting_resolution,[],[f548,f540,f412]) ).

fof(f540,plain,
    coll(sK4,sK6,sK9),
    inference(unit_resulting_resolution,[],[f523,f393]) ).

fof(f523,plain,
    coll(sK4,sK9,sK6),
    inference(unit_resulting_resolution,[],[f379,f394]) ).

fof(f394,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(f379,plain,
    coll(sK9,sK4,sK6),
    inference(cnf_transformation,[],[f330]) ).

fof(f548,plain,
    coll(sK4,sK6,sK12),
    inference(unit_resulting_resolution,[],[f525,f393]) ).

fof(f525,plain,
    coll(sK4,sK12,sK6),
    inference(unit_resulting_resolution,[],[f384,f394]) ).

fof(f34394,plain,
    cyclic(sK9,sK9,sK12,sK10),
    inference(unit_resulting_resolution,[],[f33796,f33818,f446]) ).

fof(f33796,plain,
    cyclic(sK10,sK9,sK9,sK10),
    inference(unit_resulting_resolution,[],[f33540,f402]) ).

fof(f33540,plain,
    cyclic(sK10,sK9,sK10,sK9),
    inference(unit_resulting_resolution,[],[f22266,f403]) ).

fof(f22266,plain,
    cyclic(sK10,sK10,sK9,sK9),
    inference(unit_resulting_resolution,[],[f1600,f10235,f420]) ).

fof(f1600,plain,
    coll(sK9,sK9,sK10),
    inference(unit_resulting_resolution,[],[f1096,f1096,f412]) ).

fof(f1096,plain,
    coll(sK10,sK4,sK9),
    inference(unit_resulting_resolution,[],[f894,f393]) ).

fof(f894,plain,
    coll(sK10,sK9,sK4),
    inference(unit_resulting_resolution,[],[f799,f805,f412]) ).

fof(f805,plain,
    coll(sK4,sK4,sK9),
    inference(unit_resulting_resolution,[],[f507,f507,f412]) ).

fof(f507,plain,
    coll(sK9,sK6,sK4),
    inference(unit_resulting_resolution,[],[f379,f393]) ).

fof(f34415,plain,
    cyclic(sK9,sK12,sK10,sK9),
    inference(unit_resulting_resolution,[],[f33819,f403]) ).

fof(f33819,plain,
    cyclic(sK9,sK10,sK12,sK9),
    inference(unit_resulting_resolution,[],[f33551,f401]) ).

fof(f401,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/sandbox2/benchmark/theBenchmark.p',ruleD16) ).

fof(f1404,plain,
    coll(sK9,sK12,sK12),
    inference(unit_resulting_resolution,[],[f1011,f1025,f412]) ).

fof(f1025,plain,
    coll(sK12,sK4,sK12),
    inference(unit_resulting_resolution,[],[f810,f393]) ).

fof(f810,plain,
    coll(sK12,sK12,sK4),
    inference(unit_resulting_resolution,[],[f548,f548,f412]) ).

fof(f10765,plain,
    para(sK9,sK8,sK12,sK11),
    inference(unit_resulting_resolution,[],[f651,f672,f475]) ).

fof(f475,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,[],[f284]) ).

fof(f284,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(flattening,[],[f283]) ).

fof(f283,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(f672,plain,
    perp(sK6,sK4,sK12,sK11),
    inference(unit_resulting_resolution,[],[f653,f410]) ).

fof(f410,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f192,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(f653,plain,
    perp(sK12,sK11,sK6,sK4),
    inference(unit_resulting_resolution,[],[f383,f409]) ).

fof(f409,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f191]) ).

fof(f191,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(f383,plain,
    perp(sK12,sK11,sK4,sK6),
    inference(cnf_transformation,[],[f330]) ).

fof(f651,plain,
    perp(sK9,sK8,sK6,sK4),
    inference(unit_resulting_resolution,[],[f378,f409]) ).

fof(f378,plain,
    perp(sK9,sK8,sK4,sK6),
    inference(cnf_transformation,[],[f330]) ).

fof(f18227,plain,
    coll(sK8,sK12,sK11),
    inference(unit_resulting_resolution,[],[f14530,f393]) ).

fof(f14530,plain,
    coll(sK8,sK11,sK12),
    inference(unit_resulting_resolution,[],[f11243,f14496,f412]) ).

fof(f14496,plain,
    coll(sK12,sK12,sK11),
    inference(unit_resulting_resolution,[],[f14483,f14483,f412]) ).

fof(f14483,plain,
    coll(sK11,sK11,sK12),
    inference(unit_resulting_resolution,[],[f14465,f14465,f412]) ).

fof(f14465,plain,
    coll(sK12,sK11,sK11),
    inference(unit_resulting_resolution,[],[f10767,f395]) ).

fof(f395,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X2)
      | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f175]) ).

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

fof(f67,axiom,
    ! [X0,X1,X2] :
      ( para(X0,X1,X0,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD66) ).

fof(f10767,plain,
    para(sK12,sK11,sK12,sK11),
    inference(unit_resulting_resolution,[],[f653,f672,f475]) ).

fof(f11243,plain,
    coll(sK12,sK12,sK8),
    inference(unit_resulting_resolution,[],[f11112,f11112,f412]) ).

fof(f11112,plain,
    coll(sK8,sK9,sK12),
    inference(unit_resulting_resolution,[],[f11041,f393]) ).

fof(f11041,plain,
    coll(sK8,sK12,sK9),
    inference(unit_resulting_resolution,[],[f1383,f11015,f412]) ).

fof(f11015,plain,
    coll(sK9,sK9,sK8),
    inference(unit_resulting_resolution,[],[f11008,f11008,f412]) ).

fof(f11008,plain,
    coll(sK8,sK8,sK9),
    inference(unit_resulting_resolution,[],[f10992,f10992,f412]) ).

fof(f10992,plain,
    coll(sK9,sK8,sK8),
    inference(unit_resulting_resolution,[],[f10733,f395]) ).

fof(f10733,plain,
    para(sK9,sK8,sK9,sK8),
    inference(unit_resulting_resolution,[],[f651,f671,f475]) ).

fof(f671,plain,
    perp(sK6,sK4,sK9,sK8),
    inference(unit_resulting_resolution,[],[f651,f410]) ).

fof(f10756,plain,
    para(sK8,sK10,sK11,sK13),
    inference(unit_resulting_resolution,[],[f739,f712,f475]) ).

fof(f712,plain,
    perp(sK5,sK4,sK11,sK13),
    inference(unit_resulting_resolution,[],[f674,f409]) ).

fof(f674,plain,
    perp(sK5,sK4,sK13,sK11),
    inference(unit_resulting_resolution,[],[f654,f410]) ).

fof(f654,plain,
    perp(sK13,sK11,sK5,sK4),
    inference(unit_resulting_resolution,[],[f385,f409]) ).

fof(f385,plain,
    perp(sK13,sK11,sK4,sK5),
    inference(cnf_transformation,[],[f330]) ).

fof(f739,plain,
    perp(sK8,sK10,sK5,sK4),
    inference(unit_resulting_resolution,[],[f708,f410]) ).

fof(f708,plain,
    perp(sK5,sK4,sK8,sK10),
    inference(unit_resulting_resolution,[],[f673,f409]) ).

fof(f673,plain,
    perp(sK5,sK4,sK10,sK8),
    inference(unit_resulting_resolution,[],[f652,f410]) ).

fof(f652,plain,
    perp(sK10,sK8,sK5,sK4),
    inference(unit_resulting_resolution,[],[f380,f409]) ).

fof(f380,plain,
    perp(sK10,sK8,sK4,sK5),
    inference(cnf_transformation,[],[f330]) ).

fof(f1707,plain,
    coll(sK10,sK12,sK13),
    inference(unit_resulting_resolution,[],[f983,f1140,f412]) ).

fof(f1140,plain,
    coll(sK13,sK4,sK12),
    inference(unit_resulting_resolution,[],[f909,f393]) ).

fof(f909,plain,
    coll(sK13,sK12,sK4),
    inference(unit_resulting_resolution,[],[f800,f806,f412]) ).

fof(f800,plain,
    coll(sK4,sK4,sK13),
    inference(unit_resulting_resolution,[],[f510,f510,f412]) ).

fof(f510,plain,
    coll(sK13,sK5,sK4),
    inference(unit_resulting_resolution,[],[f386,f393]) ).

fof(f386,plain,
    coll(sK13,sK4,sK5),
    inference(cnf_transformation,[],[f330]) ).

fof(f983,plain,
    coll(sK13,sK4,sK10),
    inference(unit_resulting_resolution,[],[f802,f393]) ).

fof(f802,plain,
    coll(sK13,sK10,sK4),
    inference(unit_resulting_resolution,[],[f552,f544,f412]) ).

fof(f544,plain,
    coll(sK4,sK5,sK10),
    inference(unit_resulting_resolution,[],[f524,f393]) ).

fof(f524,plain,
    coll(sK4,sK10,sK5),
    inference(unit_resulting_resolution,[],[f381,f394]) ).

fof(f552,plain,
    coll(sK4,sK5,sK13),
    inference(unit_resulting_resolution,[],[f526,f393]) ).

fof(f526,plain,
    coll(sK4,sK13,sK5),
    inference(unit_resulting_resolution,[],[f386,f394]) ).

fof(f111418,plain,
    ~ midp(sK10,sK12,sK11),
    inference(unit_resulting_resolution,[],[f10757,f11458,f110833,f440]) ).

fof(f110833,plain,
    ~ midp(sK8,sK12,sK13),
    inference(unit_resulting_resolution,[],[f627,f110296,f439]) ).

fof(f439,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X4,X0,X2)
      | para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1) ),
    inference(cnf_transformation,[],[f233]) ).

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

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

fof(f119,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(f110296,plain,
    midp(sK14,sK12,sK12),
    inference(unit_resulting_resolution,[],[f10754,f10754,f110264,f441]) ).

fof(f441,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(f110264,plain,
    midp(sK14,sK11,sK11),
    inference(unit_resulting_resolution,[],[f10330,f107533,f397]) ).

fof(f107533,plain,
    cong(sK14,sK11,sK14,sK11),
    inference(unit_resulting_resolution,[],[f34330,f22287,f22287,f10449,f471]) ).

fof(f10449,plain,
    ! [X0,X1] : eqangle(sK11,sK14,X0,X1,sK11,sK14,X0,X1),
    inference(unit_resulting_resolution,[],[f10210,f459]) ).

fof(f10210,plain,
    para(sK11,sK14,sK11,sK14),
    inference(unit_resulting_resolution,[],[f624,f635,f472]) ).

fof(f635,plain,
    para(sK10,sK9,sK11,sK14),
    inference(unit_resulting_resolution,[],[f624,f406]) ).

fof(f624,plain,
    para(sK11,sK14,sK10,sK9),
    inference(unit_resulting_resolution,[],[f612,f405]) ).

fof(f612,plain,
    para(sK11,sK14,sK9,sK10),
    inference(unit_resulting_resolution,[],[f604,f406]) ).

fof(f604,plain,
    para(sK9,sK10,sK11,sK14),
    inference(unit_resulting_resolution,[],[f387,f405]) ).

fof(f22287,plain,
    cyclic(sK14,sK11,sK11,sK11),
    inference(unit_resulting_resolution,[],[f10361,f10449,f420]) ).

fof(f10361,plain,
    coll(sK11,sK11,sK11),
    inference(unit_resulting_resolution,[],[f10348,f10348,f412]) ).

fof(f10348,plain,
    coll(sK11,sK14,sK11),
    inference(unit_resulting_resolution,[],[f10330,f394]) ).

fof(f34330,plain,
    cyclic(sK14,sK11,sK11,sK14),
    inference(unit_resulting_resolution,[],[f33773,f402]) ).

fof(f33773,plain,
    cyclic(sK14,sK11,sK14,sK11),
    inference(unit_resulting_resolution,[],[f22290,f403]) ).

fof(f22290,plain,
    cyclic(sK14,sK14,sK11,sK11),
    inference(unit_resulting_resolution,[],[f10347,f10449,f420]) ).

fof(f10347,plain,
    coll(sK11,sK11,sK14),
    inference(unit_resulting_resolution,[],[f10330,f10330,f412]) ).

fof(f10330,plain,
    coll(sK14,sK11,sK11),
    inference(unit_resulting_resolution,[],[f10209,f395]) ).

fof(f10209,plain,
    para(sK14,sK11,sK14,sK11),
    inference(unit_resulting_resolution,[],[f618,f629,f472]) ).

fof(f10754,plain,
    para(sK11,sK12,sK11,sK12),
    inference(unit_resulting_resolution,[],[f735,f704,f475]) ).

fof(f704,plain,
    perp(sK6,sK4,sK11,sK12),
    inference(unit_resulting_resolution,[],[f672,f409]) ).

fof(f735,plain,
    perp(sK11,sK12,sK6,sK4),
    inference(unit_resulting_resolution,[],[f704,f410]) ).

fof(f627,plain,
    ~ para(sK8,sK14,sK13,sK12),
    inference(unit_resulting_resolution,[],[f616,f406]) ).

fof(f616,plain,
    ~ para(sK13,sK12,sK8,sK14),
    inference(unit_resulting_resolution,[],[f609,f405]) ).

fof(f609,plain,
    ~ para(sK13,sK12,sK14,sK8),
    inference(unit_resulting_resolution,[],[f389,f406]) ).

fof(f389,plain,
    ~ para(sK14,sK8,sK13,sK12),
    inference(cnf_transformation,[],[f330]) ).

fof(f11458,plain,
    coll(sK8,sK12,sK13),
    inference(unit_resulting_resolution,[],[f1667,f11161,f412]) ).

fof(f11161,plain,
    coll(sK13,sK9,sK8),
    inference(unit_resulting_resolution,[],[f11050,f393]) ).

fof(f11050,plain,
    coll(sK13,sK8,sK9),
    inference(unit_resulting_resolution,[],[f1615,f11015,f412]) ).

fof(f1615,plain,
    coll(sK9,sK9,sK13),
    inference(unit_resulting_resolution,[],[f1103,f1103,f412]) ).

fof(f1103,plain,
    coll(sK13,sK4,sK9),
    inference(unit_resulting_resolution,[],[f895,f393]) ).

fof(f895,plain,
    coll(sK13,sK9,sK4),
    inference(unit_resulting_resolution,[],[f800,f805,f412]) ).

fof(f1667,plain,
    coll(sK13,sK9,sK12),
    inference(unit_resulting_resolution,[],[f1011,f1126,f412]) ).

fof(f1126,plain,
    coll(sK12,sK4,sK13),
    inference(unit_resulting_resolution,[],[f905,f393]) ).

fof(f905,plain,
    coll(sK12,sK13,sK4),
    inference(unit_resulting_resolution,[],[f800,f806,f412]) ).

fof(f10757,plain,
    para(sK10,sK8,sK11,sK13),
    inference(unit_resulting_resolution,[],[f652,f712,f475]) ).

fof(f14644,plain,
    coll(sK10,sK12,sK11),
    inference(unit_resulting_resolution,[],[f14532,f393]) ).

fof(f14532,plain,
    coll(sK10,sK11,sK12),
    inference(unit_resulting_resolution,[],[f1691,f14496,f412]) ).

fof(f1691,plain,
    coll(sK12,sK12,sK10),
    inference(unit_resulting_resolution,[],[f1133,f1133,f412]) ).

fof(f1133,plain,
    coll(sK10,sK4,sK12),
    inference(unit_resulting_resolution,[],[f907,f393]) ).

fof(f907,plain,
    coll(sK10,sK12,sK4),
    inference(unit_resulting_resolution,[],[f799,f806,f412]) ).

fof(f190808,plain,
    para(sK10,sK10,sK13,sK11),
    inference(unit_resulting_resolution,[],[f674,f114859,f475]) ).

fof(f114859,plain,
    perp(sK10,sK10,sK5,sK4),
    inference(unit_resulting_resolution,[],[f107518,f107519,f417]) ).

fof(f417,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X3,X1,X3)
      | perp(X0,X1,X2,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f206,plain,
    ! [X0,X1,X2,X3] :
      ( perp(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(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] :
      ( ( 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(f107519,plain,
    cong(sK10,sK5,sK10,sK5),
    inference(unit_resulting_resolution,[],[f34605,f36034,f22262,f10235,f471]) ).

fof(f22262,plain,
    cyclic(sK10,sK5,sK9,sK9),
    inference(unit_resulting_resolution,[],[f2306,f10235,f420]) ).

fof(f2306,plain,
    coll(sK9,sK9,sK5),
    inference(unit_resulting_resolution,[],[f1462,f1462,f412]) ).

fof(f1462,plain,
    coll(sK5,sK4,sK9),
    inference(unit_resulting_resolution,[],[f1046,f393]) ).

fof(f1046,plain,
    coll(sK5,sK9,sK4),
    inference(unit_resulting_resolution,[],[f805,f818,f412]) ).

fof(f818,plain,
    coll(sK4,sK4,sK5),
    inference(unit_resulting_resolution,[],[f530,f530,f412]) ).

fof(f530,plain,
    coll(sK5,sK13,sK4),
    inference(unit_resulting_resolution,[],[f510,f394]) ).

fof(f36034,plain,
    cyclic(sK10,sK5,sK9,sK5),
    inference(unit_resulting_resolution,[],[f34585,f34588,f446]) ).

fof(f34588,plain,
    cyclic(sK10,sK10,sK5,sK5),
    inference(unit_resulting_resolution,[],[f33921,f33921,f446]) ).

fof(f33921,plain,
    cyclic(sK9,sK10,sK10,sK5),
    inference(unit_resulting_resolution,[],[f33584,f402]) ).

fof(f33584,plain,
    cyclic(sK9,sK10,sK5,sK10),
    inference(unit_resulting_resolution,[],[f22272,f403]) ).

fof(f22272,plain,
    cyclic(sK9,sK5,sK10,sK10),
    inference(unit_resulting_resolution,[],[f787,f10433,f420]) ).

fof(f787,plain,
    coll(sK10,sK10,sK5),
    inference(unit_resulting_resolution,[],[f564,f564,f412]) ).

fof(f564,plain,
    coll(sK5,sK4,sK10),
    inference(unit_resulting_resolution,[],[f529,f393]) ).

fof(f529,plain,
    coll(sK5,sK10,sK4),
    inference(unit_resulting_resolution,[],[f508,f394]) ).

fof(f34585,plain,
    cyclic(sK10,sK10,sK5,sK9),
    inference(unit_resulting_resolution,[],[f33797,f33921,f446]) ).

fof(f33797,plain,
    cyclic(sK9,sK10,sK10,sK9),
    inference(unit_resulting_resolution,[],[f33540,f401]) ).

fof(f34605,plain,
    cyclic(sK10,sK5,sK9,sK10),
    inference(unit_resulting_resolution,[],[f33922,f403]) ).

fof(f33922,plain,
    cyclic(sK10,sK9,sK5,sK10),
    inference(unit_resulting_resolution,[],[f33584,f401]) ).

fof(f107518,plain,
    cong(sK10,sK4,sK10,sK4),
    inference(unit_resulting_resolution,[],[f33882,f34909,f22261,f10235,f471]) ).

fof(f22261,plain,
    cyclic(sK10,sK4,sK9,sK9),
    inference(unit_resulting_resolution,[],[f807,f10235,f420]) ).

fof(f807,plain,
    coll(sK9,sK9,sK4),
    inference(unit_resulting_resolution,[],[f540,f540,f412]) ).

fof(f34909,plain,
    cyclic(sK10,sK4,sK9,sK4),
    inference(unit_resulting_resolution,[],[f34130,f403]) ).

fof(f34130,plain,
    cyclic(sK10,sK9,sK4,sK4),
    inference(unit_resulting_resolution,[],[f33698,f33698,f446]) ).

fof(f33698,plain,
    cyclic(sK9,sK10,sK9,sK4),
    inference(unit_resulting_resolution,[],[f33432,f401]) ).

fof(f33432,plain,
    cyclic(sK10,sK9,sK9,sK4),
    inference(unit_resulting_resolution,[],[f25090,f402]) ).

fof(f25090,plain,
    cyclic(sK10,sK9,sK4,sK9),
    inference(unit_resulting_resolution,[],[f22261,f403]) ).

fof(f33882,plain,
    cyclic(sK10,sK4,sK9,sK10),
    inference(unit_resulting_resolution,[],[f33433,f33573,f446]) ).

fof(f33573,plain,
    cyclic(sK9,sK10,sK4,sK10),
    inference(unit_resulting_resolution,[],[f22271,f403]) ).

fof(f22271,plain,
    cyclic(sK9,sK4,sK10,sK10),
    inference(unit_resulting_resolution,[],[f801,f10433,f420]) ).

fof(f801,plain,
    coll(sK10,sK10,sK4),
    inference(unit_resulting_resolution,[],[f544,f544,f412]) ).

fof(f33433,plain,
    cyclic(sK9,sK10,sK4,sK9),
    inference(unit_resulting_resolution,[],[f25090,f401]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : GEO629+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n008.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Apr 30 05:51:27 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  % (27504)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (27509)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  % (27505)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (27507)WARNING: value z3 for option sas not known
% 0.14/0.38  % (27506)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (27508)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (27510)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38  % (27511)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  % (27507)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)
% 0.14/0.39  TRYING [1]
% 0.14/0.40  TRYING [2]
% 0.20/0.45  TRYING [1]
% 0.20/0.48  TRYING [3]
% 0.20/0.49  TRYING [2]
% 5.27/1.14  TRYING [1]
% 5.27/1.14  TRYING [2]
% 5.91/1.20  TRYING [3]
% 7.80/1.48  TRYING [3]
% 26.42/4.21  % (27511)First to succeed.
% 27.02/4.24  % (27511)Refutation found. Thanks to Tanya!
% 27.02/4.24  % SZS status Theorem for theBenchmark
% 27.02/4.24  % SZS output start Proof for theBenchmark
% See solution above
% 27.02/4.24  % (27511)------------------------------
% 27.02/4.24  % (27511)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 27.02/4.24  % (27511)Termination reason: Refutation
% 27.02/4.24  
% 27.02/4.24  % (27511)Memory used [KB]: 70956
% 27.02/4.24  % (27511)Time elapsed: 3.837 s
% 27.02/4.24  % (27511)Instructions burned: 8881 (million)
% 27.02/4.24  % (27511)------------------------------
% 27.02/4.24  % (27511)------------------------------
% 27.02/4.24  % (27504)Success in time 3.885 s
%------------------------------------------------------------------------------