TSTP Solution File: GEO628+1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : GEO628+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n016.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  : 600s
% DateTime : Sat Jul 16 04:44:27 EDT 2022

% Result   : Theorem 147.72s 147.95s
% Output   : CNFRefutation 147.72s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(ruleD75,axiom,
    ! [A,B,C,D,P,Q,U,V] :
      ( ( eqratio(A,B,C,D,P,Q,U,V)
        & cong(P,Q,U,V) )
     => cong(A,B,C,D) ),
    input ).

fof(ruleD75_0,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( cong(A,B,C,D)
      | ~ ( eqratio(A,B,C,D,P,Q,U,V)
          & cong(P,Q,U,V) ) ),
    inference(orientation,[status(thm)],[ruleD75]) ).

fof(ruleD74,axiom,
    ! [A,B,C,D,P,Q,U,V] :
      ( ( eqangle(A,B,C,D,P,Q,U,V)
        & perp(P,Q,U,V) )
     => perp(A,B,C,D) ),
    input ).

fof(ruleD74_0,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( perp(A,B,C,D)
      | ~ ( eqangle(A,B,C,D,P,Q,U,V)
          & perp(P,Q,U,V) ) ),
    inference(orientation,[status(thm)],[ruleD74]) ).

fof(ruleD73,axiom,
    ! [A,B,C,D,P,Q,U,V] :
      ( ( eqangle(A,B,C,D,P,Q,U,V)
        & para(P,Q,U,V) )
     => para(A,B,C,D) ),
    input ).

fof(ruleD73_0,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( para(A,B,C,D)
      | ~ ( eqangle(A,B,C,D,P,Q,U,V)
          & para(P,Q,U,V) ) ),
    inference(orientation,[status(thm)],[ruleD73]) ).

fof(ruleD72,axiom,
    ! [A,B,C,D] :
      ( ( eqangle(A,B,C,D,C,D,A,B)
        & ~ perp(A,B,C,D) )
     => para(A,B,C,D) ),
    input ).

fof(ruleD72_0,plain,
    ! [A,B,C,D] :
      ( para(A,B,C,D)
      | ~ ( eqangle(A,B,C,D,C,D,A,B)
          & ~ perp(A,B,C,D) ) ),
    inference(orientation,[status(thm)],[ruleD72]) ).

fof(ruleD71,axiom,
    ! [A,B,C,D] :
      ( ( eqangle(A,B,C,D,C,D,A,B)
        & ~ para(A,B,C,D) )
     => perp(A,B,C,D) ),
    input ).

fof(ruleD71_0,plain,
    ! [A,B,C,D] :
      ( perp(A,B,C,D)
      | ~ ( eqangle(A,B,C,D,C,D,A,B)
          & ~ para(A,B,C,D) ) ),
    inference(orientation,[status(thm)],[ruleD71]) ).

fof(ruleD70,axiom,
    ! [A,B,C,D,M,N] :
      ( ( midp(M,A,B)
        & midp(N,C,D) )
     => eqratio(M,A,A,B,N,C,C,D) ),
    input ).

fof(ruleD70_0,plain,
    ! [A,B,C,D,M,N] :
      ( eqratio(M,A,A,B,N,C,C,D)
      | ~ ( midp(M,A,B)
          & midp(N,C,D) ) ),
    inference(orientation,[status(thm)],[ruleD70]) ).

fof(ruleD69,axiom,
    ! [A,B,C] :
      ( midp(A,B,C)
     => coll(A,B,C) ),
    input ).

fof(ruleD69_0,plain,
    ! [A,B,C] :
      ( ~ midp(A,B,C)
      | coll(A,B,C) ),
    inference(orientation,[status(thm)],[ruleD69]) ).

fof(ruleD68,axiom,
    ! [A,B,C] :
      ( midp(A,B,C)
     => cong(A,B,A,C) ),
    input ).

fof(ruleD68_0,plain,
    ! [A,B,C] :
      ( ~ midp(A,B,C)
      | cong(A,B,A,C) ),
    inference(orientation,[status(thm)],[ruleD68]) ).

fof(ruleD67,axiom,
    ! [A,B,C] :
      ( ( cong(A,B,A,C)
        & coll(A,B,C) )
     => midp(A,B,C) ),
    input ).

fof(ruleD67_0,plain,
    ! [A,B,C] :
      ( midp(A,B,C)
      | ~ ( cong(A,B,A,C)
          & coll(A,B,C) ) ),
    inference(orientation,[status(thm)],[ruleD67]) ).

fof(ruleD66,axiom,
    ! [A,B,C] :
      ( para(A,B,A,C)
     => coll(A,B,C) ),
    input ).

fof(ruleD66_0,plain,
    ! [A,B,C] :
      ( ~ para(A,B,A,C)
      | coll(A,B,C) ),
    inference(orientation,[status(thm)],[ruleD66]) ).

fof(ruleD65,axiom,
    ! [A,B,C,D,O] :
      ( ( para(A,B,C,D)
        & coll(O,A,C)
        & coll(O,B,D) )
     => eqratio(O,A,A,C,O,B,B,D) ),
    input ).

fof(ruleD65_0,plain,
    ! [A,B,C,D,O] :
      ( eqratio(O,A,A,C,O,B,B,D)
      | ~ ( para(A,B,C,D)
          & coll(O,A,C)
          & coll(O,B,D) ) ),
    inference(orientation,[status(thm)],[ruleD65]) ).

fof(ruleD64,axiom,
    ! [A,B,C,D,M] :
      ( ( midp(M,A,B)
        & para(A,C,B,D)
        & para(A,D,B,C) )
     => midp(M,C,D) ),
    input ).

fof(ruleD64_0,plain,
    ! [A,B,C,D,M] :
      ( midp(M,C,D)
      | ~ ( midp(M,A,B)
          & para(A,C,B,D)
          & para(A,D,B,C) ) ),
    inference(orientation,[status(thm)],[ruleD64]) ).

fof(ruleD63,axiom,
    ! [A,B,C,D,M] :
      ( ( midp(M,A,B)
        & midp(M,C,D) )
     => para(A,C,B,D) ),
    input ).

fof(ruleD63_0,plain,
    ! [A,B,C,D,M] :
      ( para(A,C,B,D)
      | ~ ( midp(M,A,B)
          & midp(M,C,D) ) ),
    inference(orientation,[status(thm)],[ruleD63]) ).

fof(ruleD62,axiom,
    ! [A,B,C,P,Q,R] :
      ( contri(A,B,C,P,Q,R)
     => cong(A,B,P,Q) ),
    input ).

fof(ruleD62_0,plain,
    ! [A,B,C,P,Q,R] :
      ( ~ contri(A,B,C,P,Q,R)
      | cong(A,B,P,Q) ),
    inference(orientation,[status(thm)],[ruleD62]) ).

fof(ruleD61,axiom,
    ! [A,B,C,P,Q,R] :
      ( ( simtri(A,B,C,P,Q,R)
        & cong(A,B,P,Q) )
     => contri(A,B,C,P,Q,R) ),
    input ).

fof(ruleD61_0,plain,
    ! [A,B,C,P,Q,R] :
      ( contri(A,B,C,P,Q,R)
      | ~ ( simtri(A,B,C,P,Q,R)
          & cong(A,B,P,Q) ) ),
    inference(orientation,[status(thm)],[ruleD61]) ).

fof(ruleD60,axiom,
    ! [A,B,C,P,Q,R] :
      ( simtri(A,B,C,P,Q,R)
     => eqangle(A,B,B,C,P,Q,Q,R) ),
    input ).

fof(ruleD60_0,plain,
    ! [A,B,C,P,Q,R] :
      ( ~ simtri(A,B,C,P,Q,R)
      | eqangle(A,B,B,C,P,Q,Q,R) ),
    inference(orientation,[status(thm)],[ruleD60]) ).

fof(ruleD59,axiom,
    ! [A,B,C,P,Q,R] :
      ( simtri(A,B,C,P,Q,R)
     => eqratio(A,B,A,C,P,Q,P,R) ),
    input ).

fof(ruleD59_0,plain,
    ! [A,B,C,P,Q,R] :
      ( ~ simtri(A,B,C,P,Q,R)
      | eqratio(A,B,A,C,P,Q,P,R) ),
    inference(orientation,[status(thm)],[ruleD59]) ).

fof(ruleD58,axiom,
    ! [A,B,C,P,Q,R] :
      ( ( eqangle(A,B,B,C,P,Q,Q,R)
        & eqangle(A,C,B,C,P,R,Q,R)
        & ~ coll(A,B,C) )
     => simtri(A,B,C,P,Q,R) ),
    input ).

fof(ruleD58_0,plain,
    ! [A,B,C,P,Q,R] :
      ( simtri(A,B,C,P,Q,R)
      | ~ ( eqangle(A,B,B,C,P,Q,Q,R)
          & eqangle(A,C,B,C,P,R,Q,R)
          & ~ coll(A,B,C) ) ),
    inference(orientation,[status(thm)],[ruleD58]) ).

fof(ruleD57,axiom,
    ! [A,B,P,Q] :
      ( ( cong(A,P,B,P)
        & cong(A,Q,B,Q)
        & cyclic(A,B,P,Q) )
     => perp(P,A,A,Q) ),
    input ).

fof(ruleD57_0,plain,
    ! [A,B,P,Q] :
      ( perp(P,A,A,Q)
      | ~ ( cong(A,P,B,P)
          & cong(A,Q,B,Q)
          & cyclic(A,B,P,Q) ) ),
    inference(orientation,[status(thm)],[ruleD57]) ).

fof(ruleD56,axiom,
    ! [A,B,P,Q] :
      ( ( cong(A,P,B,P)
        & cong(A,Q,B,Q) )
     => perp(A,B,P,Q) ),
    input ).

fof(ruleD56_0,plain,
    ! [A,B,P,Q] :
      ( perp(A,B,P,Q)
      | ~ ( cong(A,P,B,P)
          & cong(A,Q,B,Q) ) ),
    inference(orientation,[status(thm)],[ruleD56]) ).

fof(ruleD55,axiom,
    ! [A,B,M,O] :
      ( ( midp(M,A,B)
        & perp(O,M,A,B) )
     => cong(O,A,O,B) ),
    input ).

fof(ruleD55_0,plain,
    ! [A,B,M,O] :
      ( cong(O,A,O,B)
      | ~ ( midp(M,A,B)
          & perp(O,M,A,B) ) ),
    inference(orientation,[status(thm)],[ruleD55]) ).

fof(ruleD54,axiom,
    ! [A,B,C,D] :
      ( ( cyclic(A,B,C,D)
        & para(A,B,C,D) )
     => eqangle(A,D,C,D,C,D,C,B) ),
    input ).

fof(ruleD54_0,plain,
    ! [A,B,C,D] :
      ( eqangle(A,D,C,D,C,D,C,B)
      | ~ ( cyclic(A,B,C,D)
          & para(A,B,C,D) ) ),
    inference(orientation,[status(thm)],[ruleD54]) ).

fof(ruleD53,axiom,
    ! [A,B,C,O] :
      ( ( circle(O,A,B,C)
        & coll(O,A,C) )
     => perp(A,B,B,C) ),
    input ).

fof(ruleD53_0,plain,
    ! [A,B,C,O] :
      ( perp(A,B,B,C)
      | ~ ( circle(O,A,B,C)
          & coll(O,A,C) ) ),
    inference(orientation,[status(thm)],[ruleD53]) ).

fof(ruleD52,axiom,
    ! [A,B,C,M] :
      ( ( perp(A,B,B,C)
        & midp(M,A,C) )
     => cong(A,M,B,M) ),
    input ).

fof(ruleD52_0,plain,
    ! [A,B,C,M] :
      ( cong(A,M,B,M)
      | ~ ( perp(A,B,B,C)
          & midp(M,A,C) ) ),
    inference(orientation,[status(thm)],[ruleD52]) ).

fof(ruleD51,axiom,
    ! [A,B,C,O,M] :
      ( ( circle(O,A,B,C)
        & coll(M,B,C)
        & eqangle(A,B,A,C,O,B,O,M) )
     => midp(M,B,C) ),
    input ).

fof(ruleD51_0,plain,
    ! [A,B,C,M,O] :
      ( midp(M,B,C)
      | ~ ( circle(O,A,B,C)
          & coll(M,B,C)
          & eqangle(A,B,A,C,O,B,O,M) ) ),
    inference(orientation,[status(thm)],[ruleD51]) ).

fof(ruleD50,axiom,
    ! [A,B,C,O,M] :
      ( ( circle(O,A,B,C)
        & midp(M,B,C) )
     => eqangle(A,B,A,C,O,B,O,M) ),
    input ).

fof(ruleD50_0,plain,
    ! [A,B,C,M,O] :
      ( eqangle(A,B,A,C,O,B,O,M)
      | ~ ( circle(O,A,B,C)
          & midp(M,B,C) ) ),
    inference(orientation,[status(thm)],[ruleD50]) ).

fof(ruleD49,axiom,
    ! [A,B,C,O,X] :
      ( ( circle(O,A,B,C)
        & eqangle(A,X,A,B,C,A,C,B) )
     => perp(O,A,A,X) ),
    input ).

fof(ruleD49_0,plain,
    ! [A,B,C,O,X] :
      ( perp(O,A,A,X)
      | ~ ( circle(O,A,B,C)
          & eqangle(A,X,A,B,C,A,C,B) ) ),
    inference(orientation,[status(thm)],[ruleD49]) ).

fof(ruleD48,axiom,
    ! [A,B,C,O,X] :
      ( ( circle(O,A,B,C)
        & perp(O,A,A,X) )
     => eqangle(A,X,A,B,C,A,C,B) ),
    input ).

fof(ruleD48_0,plain,
    ! [A,B,C,O,X] :
      ( eqangle(A,X,A,B,C,A,C,B)
      | ~ ( circle(O,A,B,C)
          & perp(O,A,A,X) ) ),
    inference(orientation,[status(thm)],[ruleD48]) ).

fof(ruleD47,axiom,
    ! [A,B,O] :
      ( ( eqangle(O,A,A,B,A,B,O,B)
        & ~ coll(O,A,B) )
     => cong(O,A,O,B) ),
    input ).

fof(ruleD47_0,plain,
    ! [A,B,O] :
      ( cong(O,A,O,B)
      | ~ ( eqangle(O,A,A,B,A,B,O,B)
          & ~ coll(O,A,B) ) ),
    inference(orientation,[status(thm)],[ruleD47]) ).

fof(ruleD46,axiom,
    ! [A,B,O] :
      ( cong(O,A,O,B)
     => eqangle(O,A,A,B,A,B,O,B) ),
    input ).

fof(ruleD46_0,plain,
    ! [A,B,O] :
      ( ~ cong(O,A,O,B)
      | eqangle(O,A,A,B,A,B,O,B) ),
    inference(orientation,[status(thm)],[ruleD46]) ).

fof(ruleD45,axiom,
    ! [A,B,C,E,F] :
      ( ( midp(E,A,B)
        & para(E,F,B,C)
        & coll(F,A,C) )
     => midp(F,A,C) ),
    input ).

fof(ruleD45_0,plain,
    ! [A,B,C,E,F] :
      ( midp(F,A,C)
      | ~ ( midp(E,A,B)
          & para(E,F,B,C)
          & coll(F,A,C) ) ),
    inference(orientation,[status(thm)],[ruleD45]) ).

fof(ruleD44,axiom,
    ! [A,B,C,E,F] :
      ( ( midp(E,A,B)
        & midp(F,A,C) )
     => para(E,F,B,C) ),
    input ).

fof(ruleD44_0,plain,
    ! [A,B,C,E,F] :
      ( para(E,F,B,C)
      | ~ ( midp(E,A,B)
          & midp(F,A,C) ) ),
    inference(orientation,[status(thm)],[ruleD44]) ).

fof(ruleD43,axiom,
    ! [A,B,C,P,Q,R] :
      ( ( cyclic(A,B,C,P)
        & cyclic(A,B,C,Q)
        & cyclic(A,B,C,R)
        & eqangle(C,A,C,B,R,P,R,Q) )
     => cong(A,B,P,Q) ),
    input ).

fof(ruleD43_0,plain,
    ! [A,B,C,P,Q,R] :
      ( cong(A,B,P,Q)
      | ~ ( cyclic(A,B,C,P)
          & cyclic(A,B,C,Q)
          & cyclic(A,B,C,R)
          & eqangle(C,A,C,B,R,P,R,Q) ) ),
    inference(orientation,[status(thm)],[ruleD43]) ).

fof(ruleD42b,axiom,
    ! [A,B,P,Q] :
      ( ( eqangle(P,A,P,B,Q,A,Q,B)
        & coll(P,Q,B) )
     => cyclic(A,B,P,Q) ),
    input ).

fof(ruleD42b_0,plain,
    ! [A,B,P,Q] :
      ( cyclic(A,B,P,Q)
      | ~ ( eqangle(P,A,P,B,Q,A,Q,B)
          & coll(P,Q,B) ) ),
    inference(orientation,[status(thm)],[ruleD42b]) ).

fof(ruleD42a,axiom,
    ! [A,B,P,Q] :
      ( ( eqangle(P,A,P,B,Q,A,Q,B)
        & ~ coll(P,Q,A) )
     => cyclic(A,B,P,Q) ),
    input ).

fof(ruleD42a_0,plain,
    ! [A,B,P,Q] :
      ( cyclic(A,B,P,Q)
      | ~ ( eqangle(P,A,P,B,Q,A,Q,B)
          & ~ coll(P,Q,A) ) ),
    inference(orientation,[status(thm)],[ruleD42a]) ).

fof(ruleD41,axiom,
    ! [A,B,P,Q] :
      ( cyclic(A,B,P,Q)
     => eqangle(P,A,P,B,Q,A,Q,B) ),
    input ).

fof(ruleD41_0,plain,
    ! [A,B,P,Q] :
      ( ~ cyclic(A,B,P,Q)
      | eqangle(P,A,P,B,Q,A,Q,B) ),
    inference(orientation,[status(thm)],[ruleD41]) ).

fof(ruleD40,axiom,
    ! [A,B,C,D,P,Q] :
      ( para(A,B,C,D)
     => eqangle(A,B,P,Q,C,D,P,Q) ),
    input ).

fof(ruleD40_0,plain,
    ! [A,B,C,D,P,Q] :
      ( ~ para(A,B,C,D)
      | eqangle(A,B,P,Q,C,D,P,Q) ),
    inference(orientation,[status(thm)],[ruleD40]) ).

fof(ruleD39,axiom,
    ! [A,B,C,D,P,Q] :
      ( eqangle(A,B,P,Q,C,D,P,Q)
     => para(A,B,C,D) ),
    input ).

fof(ruleD39_0,plain,
    ! [A,B,C,D,P,Q] :
      ( ~ eqangle(A,B,P,Q,C,D,P,Q)
      | para(A,B,C,D) ),
    inference(orientation,[status(thm)],[ruleD39]) ).

fof(ruleD38,axiom,
    ! [A,B,C,E,F,G,P,Q,R] :
      ( ( contri(A,B,C,E,F,G)
        & contri(E,F,G,P,Q,R) )
     => contri(A,B,C,P,Q,R) ),
    input ).

fof(ruleD38_0,plain,
    ! [A,B,C,E,F,G,P,Q,R] :
      ( contri(A,B,C,P,Q,R)
      | ~ ( contri(A,B,C,E,F,G)
          & contri(E,F,G,P,Q,R) ) ),
    inference(orientation,[status(thm)],[ruleD38]) ).

fof(ruleD37,axiom,
    ! [A,B,C,P,Q,R] :
      ( contri(P,Q,R,A,B,C)
     => contri(A,B,C,P,Q,R) ),
    input ).

fof(ruleD37_0,plain,
    ! [A,B,C,P,Q,R] :
      ( ~ contri(P,Q,R,A,B,C)
      | contri(A,B,C,P,Q,R) ),
    inference(orientation,[status(thm)],[ruleD37]) ).

fof(ruleD36,axiom,
    ! [A,B,C,P,Q,R] :
      ( contri(B,A,C,Q,P,R)
     => contri(A,B,C,P,Q,R) ),
    input ).

fof(ruleD36_0,plain,
    ! [A,B,C,P,Q,R] :
      ( ~ contri(B,A,C,Q,P,R)
      | contri(A,B,C,P,Q,R) ),
    inference(orientation,[status(thm)],[ruleD36]) ).

fof(ruleD35,axiom,
    ! [A,B,C,P,Q,R] :
      ( contri(A,C,B,P,R,Q)
     => contri(A,B,C,P,Q,R) ),
    input ).

fof(ruleD35_0,plain,
    ! [A,B,C,P,Q,R] :
      ( ~ contri(A,C,B,P,R,Q)
      | contri(A,B,C,P,Q,R) ),
    inference(orientation,[status(thm)],[ruleD35]) ).

fof(ruleD34,axiom,
    ! [A,B,C,E,F,G,P,Q,R] :
      ( ( simtri(A,B,C,E,F,G)
        & simtri(E,F,G,P,Q,R) )
     => simtri(A,B,C,P,Q,R) ),
    input ).

fof(ruleD34_0,plain,
    ! [A,B,C,E,F,G,P,Q,R] :
      ( simtri(A,B,C,P,Q,R)
      | ~ ( simtri(A,B,C,E,F,G)
          & simtri(E,F,G,P,Q,R) ) ),
    inference(orientation,[status(thm)],[ruleD34]) ).

fof(ruleD33,axiom,
    ! [A,B,C,P,Q,R] :
      ( simtri(P,Q,R,A,B,C)
     => simtri(A,B,C,P,Q,R) ),
    input ).

fof(ruleD33_0,plain,
    ! [A,B,C,P,Q,R] :
      ( ~ simtri(P,Q,R,A,B,C)
      | simtri(A,B,C,P,Q,R) ),
    inference(orientation,[status(thm)],[ruleD33]) ).

fof(ruleD32,axiom,
    ! [A,B,C,P,Q,R] :
      ( simtri(B,A,C,Q,P,R)
     => simtri(A,B,C,P,Q,R) ),
    input ).

fof(ruleD32_0,plain,
    ! [A,B,C,P,Q,R] :
      ( ~ simtri(B,A,C,Q,P,R)
      | simtri(A,B,C,P,Q,R) ),
    inference(orientation,[status(thm)],[ruleD32]) ).

fof(ruleD31,axiom,
    ! [A,B,C,P,Q,R] :
      ( simtri(A,C,B,P,R,Q)
     => simtri(A,B,C,P,Q,R) ),
    input ).

fof(ruleD31_0,plain,
    ! [A,B,C,P,Q,R] :
      ( ~ simtri(A,C,B,P,R,Q)
      | simtri(A,B,C,P,Q,R) ),
    inference(orientation,[status(thm)],[ruleD31]) ).

fof(ruleD30,axiom,
    ! [A,B,C,D,E,F,G,H,P,Q,U,V] :
      ( ( eqratio(A,B,C,D,P,Q,U,V)
        & eqratio(P,Q,U,V,E,F,G,H) )
     => eqratio(A,B,C,D,E,F,G,H) ),
    input ).

fof(ruleD30_0,plain,
    ! [A,B,C,D,E,F,G,H,P,Q,U,V] :
      ( eqratio(A,B,C,D,E,F,G,H)
      | ~ ( eqratio(A,B,C,D,P,Q,U,V)
          & eqratio(P,Q,U,V,E,F,G,H) ) ),
    inference(orientation,[status(thm)],[ruleD30]) ).

fof(ruleD29,axiom,
    ! [A,B,C,D,P,Q,U,V] :
      ( eqratio(A,B,C,D,P,Q,U,V)
     => eqratio(A,B,P,Q,C,D,U,V) ),
    input ).

fof(ruleD29_0,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( ~ eqratio(A,B,C,D,P,Q,U,V)
      | eqratio(A,B,P,Q,C,D,U,V) ),
    inference(orientation,[status(thm)],[ruleD29]) ).

fof(ruleD28,axiom,
    ! [A,B,C,D,P,Q,U,V] :
      ( eqratio(A,B,C,D,P,Q,U,V)
     => eqratio(P,Q,U,V,A,B,C,D) ),
    input ).

fof(ruleD28_0,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( ~ eqratio(A,B,C,D,P,Q,U,V)
      | eqratio(P,Q,U,V,A,B,C,D) ),
    inference(orientation,[status(thm)],[ruleD28]) ).

fof(ruleD27,axiom,
    ! [A,B,C,D,P,Q,U,V] :
      ( eqratio(A,B,C,D,P,Q,U,V)
     => eqratio(C,D,A,B,U,V,P,Q) ),
    input ).

fof(ruleD27_0,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( ~ eqratio(A,B,C,D,P,Q,U,V)
      | eqratio(C,D,A,B,U,V,P,Q) ),
    inference(orientation,[status(thm)],[ruleD27]) ).

fof(ruleD26,axiom,
    ! [A,B,C,D,P,Q,U,V] :
      ( eqratio(A,B,C,D,P,Q,U,V)
     => eqratio(B,A,C,D,P,Q,U,V) ),
    input ).

fof(ruleD26_0,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( ~ eqratio(A,B,C,D,P,Q,U,V)
      | eqratio(B,A,C,D,P,Q,U,V) ),
    inference(orientation,[status(thm)],[ruleD26]) ).

fof(ruleD25,axiom,
    ! [A,B,C,D,E,F] :
      ( ( cong(A,B,C,D)
        & cong(C,D,E,F) )
     => cong(A,B,E,F) ),
    input ).

fof(ruleD25_0,plain,
    ! [A,B,C,D,E,F] :
      ( cong(A,B,E,F)
      | ~ ( cong(A,B,C,D)
          & cong(C,D,E,F) ) ),
    inference(orientation,[status(thm)],[ruleD25]) ).

fof(ruleD24,axiom,
    ! [A,B,C,D] :
      ( cong(A,B,C,D)
     => cong(C,D,A,B) ),
    input ).

fof(ruleD24_0,plain,
    ! [A,B,C,D] :
      ( ~ cong(A,B,C,D)
      | cong(C,D,A,B) ),
    inference(orientation,[status(thm)],[ruleD24]) ).

fof(ruleD23,axiom,
    ! [A,B,C,D] :
      ( cong(A,B,C,D)
     => cong(A,B,D,C) ),
    input ).

fof(ruleD23_0,plain,
    ! [A,B,C,D] :
      ( ~ cong(A,B,C,D)
      | cong(A,B,D,C) ),
    inference(orientation,[status(thm)],[ruleD23]) ).

fof(ruleD22,axiom,
    ! [A,B,C,D,P,Q,U,V,E,F,G,H] :
      ( ( eqangle(A,B,C,D,P,Q,U,V)
        & eqangle(P,Q,U,V,E,F,G,H) )
     => eqangle(A,B,C,D,E,F,G,H) ),
    input ).

fof(ruleD22_0,plain,
    ! [A,B,C,D,E,F,G,H,P,Q,U,V] :
      ( eqangle(A,B,C,D,E,F,G,H)
      | ~ ( eqangle(A,B,C,D,P,Q,U,V)
          & eqangle(P,Q,U,V,E,F,G,H) ) ),
    inference(orientation,[status(thm)],[ruleD22]) ).

fof(ruleD21,axiom,
    ! [A,B,C,D,P,Q,U,V] :
      ( eqangle(A,B,C,D,P,Q,U,V)
     => eqangle(A,B,P,Q,C,D,U,V) ),
    input ).

fof(ruleD21_0,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( ~ eqangle(A,B,C,D,P,Q,U,V)
      | eqangle(A,B,P,Q,C,D,U,V) ),
    inference(orientation,[status(thm)],[ruleD21]) ).

fof(ruleD20,axiom,
    ! [A,B,C,D,P,Q,U,V] :
      ( eqangle(A,B,C,D,P,Q,U,V)
     => eqangle(P,Q,U,V,A,B,C,D) ),
    input ).

fof(ruleD20_0,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( ~ eqangle(A,B,C,D,P,Q,U,V)
      | eqangle(P,Q,U,V,A,B,C,D) ),
    inference(orientation,[status(thm)],[ruleD20]) ).

fof(ruleD19,axiom,
    ! [A,B,C,D,P,Q,U,V] :
      ( eqangle(A,B,C,D,P,Q,U,V)
     => eqangle(C,D,A,B,U,V,P,Q) ),
    input ).

fof(ruleD19_0,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( ~ eqangle(A,B,C,D,P,Q,U,V)
      | eqangle(C,D,A,B,U,V,P,Q) ),
    inference(orientation,[status(thm)],[ruleD19]) ).

fof(ruleD18,axiom,
    ! [A,B,C,D,P,Q,U,V] :
      ( eqangle(A,B,C,D,P,Q,U,V)
     => eqangle(B,A,C,D,P,Q,U,V) ),
    input ).

fof(ruleD18_0,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( ~ eqangle(A,B,C,D,P,Q,U,V)
      | eqangle(B,A,C,D,P,Q,U,V) ),
    inference(orientation,[status(thm)],[ruleD18]) ).

fof(ruleD17,axiom,
    ! [A,B,C,D,E] :
      ( ( cyclic(A,B,C,D)
        & cyclic(A,B,C,E) )
     => cyclic(B,C,D,E) ),
    input ).

fof(ruleD17_0,plain,
    ! [A,B,C,D,E] :
      ( cyclic(B,C,D,E)
      | ~ ( cyclic(A,B,C,D)
          & cyclic(A,B,C,E) ) ),
    inference(orientation,[status(thm)],[ruleD17]) ).

fof(ruleD16,axiom,
    ! [A,B,C,D] :
      ( cyclic(A,B,C,D)
     => cyclic(B,A,C,D) ),
    input ).

fof(ruleD16_0,plain,
    ! [A,B,C,D] :
      ( ~ cyclic(A,B,C,D)
      | cyclic(B,A,C,D) ),
    inference(orientation,[status(thm)],[ruleD16]) ).

fof(ruleD15,axiom,
    ! [A,B,C,D] :
      ( cyclic(A,B,C,D)
     => cyclic(A,C,B,D) ),
    input ).

fof(ruleD15_0,plain,
    ! [A,B,C,D] :
      ( ~ cyclic(A,B,C,D)
      | cyclic(A,C,B,D) ),
    inference(orientation,[status(thm)],[ruleD15]) ).

fof(ruleD14,axiom,
    ! [A,B,C,D] :
      ( cyclic(A,B,C,D)
     => cyclic(A,B,D,C) ),
    input ).

fof(ruleD14_0,plain,
    ! [A,B,C,D] :
      ( ~ cyclic(A,B,C,D)
      | cyclic(A,B,D,C) ),
    inference(orientation,[status(thm)],[ruleD14]) ).

fof(ruleD13,axiom,
    ! [A,B,C,D,O] :
      ( ( cong(O,A,O,B)
        & cong(O,A,O,C)
        & cong(O,A,O,D) )
     => cyclic(A,B,C,D) ),
    input ).

fof(ruleD13_0,plain,
    ! [A,B,C,D,O] :
      ( cyclic(A,B,C,D)
      | ~ ( cong(O,A,O,B)
          & cong(O,A,O,C)
          & cong(O,A,O,D) ) ),
    inference(orientation,[status(thm)],[ruleD13]) ).

fof(ruleD12,axiom,
    ! [A,B,C,O] :
      ( ( cong(O,A,O,B)
        & cong(O,A,O,C) )
     => circle(O,A,B,C) ),
    input ).

fof(ruleD12_0,plain,
    ! [A,B,C,O] :
      ( circle(O,A,B,C)
      | ~ ( cong(O,A,O,B)
          & cong(O,A,O,C) ) ),
    inference(orientation,[status(thm)],[ruleD12]) ).

fof(ruleD11,axiom,
    ! [A,B,M] :
      ( midp(M,B,A)
     => midp(M,A,B) ),
    input ).

fof(ruleD11_0,plain,
    ! [A,B,M] :
      ( ~ midp(M,B,A)
      | midp(M,A,B) ),
    inference(orientation,[status(thm)],[ruleD11]) ).

fof(ruleD10,axiom,
    ! [A,B,C,D,E,F] :
      ( ( para(A,B,C,D)
        & perp(C,D,E,F) )
     => perp(A,B,E,F) ),
    input ).

fof(ruleD10_0,plain,
    ! [A,B,C,D,E,F] :
      ( perp(A,B,E,F)
      | ~ ( para(A,B,C,D)
          & perp(C,D,E,F) ) ),
    inference(orientation,[status(thm)],[ruleD10]) ).

fof(ruleD9,axiom,
    ! [A,B,C,D,E,F] :
      ( ( perp(A,B,C,D)
        & perp(C,D,E,F) )
     => para(A,B,E,F) ),
    input ).

fof(ruleD9_0,plain,
    ! [A,B,C,D,E,F] :
      ( para(A,B,E,F)
      | ~ ( perp(A,B,C,D)
          & perp(C,D,E,F) ) ),
    inference(orientation,[status(thm)],[ruleD9]) ).

fof(ruleD8,axiom,
    ! [A,B,C,D] :
      ( perp(A,B,C,D)
     => perp(C,D,A,B) ),
    input ).

fof(ruleD8_0,plain,
    ! [A,B,C,D] :
      ( ~ perp(A,B,C,D)
      | perp(C,D,A,B) ),
    inference(orientation,[status(thm)],[ruleD8]) ).

fof(ruleD7,axiom,
    ! [A,B,C,D] :
      ( perp(A,B,C,D)
     => perp(A,B,D,C) ),
    input ).

fof(ruleD7_0,plain,
    ! [A,B,C,D] :
      ( ~ perp(A,B,C,D)
      | perp(A,B,D,C) ),
    inference(orientation,[status(thm)],[ruleD7]) ).

fof(ruleD6,axiom,
    ! [A,B,C,D,E,F] :
      ( ( para(A,B,C,D)
        & para(C,D,E,F) )
     => para(A,B,E,F) ),
    input ).

fof(ruleD6_0,plain,
    ! [A,B,C,D,E,F] :
      ( para(A,B,E,F)
      | ~ ( para(A,B,C,D)
          & para(C,D,E,F) ) ),
    inference(orientation,[status(thm)],[ruleD6]) ).

fof(ruleD5,axiom,
    ! [A,B,C,D] :
      ( para(A,B,C,D)
     => para(C,D,A,B) ),
    input ).

fof(ruleD5_0,plain,
    ! [A,B,C,D] :
      ( ~ para(A,B,C,D)
      | para(C,D,A,B) ),
    inference(orientation,[status(thm)],[ruleD5]) ).

fof(ruleD4,axiom,
    ! [A,B,C,D] :
      ( para(A,B,C,D)
     => para(A,B,D,C) ),
    input ).

fof(ruleD4_0,plain,
    ! [A,B,C,D] :
      ( ~ para(A,B,C,D)
      | para(A,B,D,C) ),
    inference(orientation,[status(thm)],[ruleD4]) ).

fof(ruleD3,axiom,
    ! [A,B,C,D] :
      ( ( coll(A,B,C)
        & coll(A,B,D) )
     => coll(C,D,A) ),
    input ).

fof(ruleD3_0,plain,
    ! [A,B,C,D] :
      ( coll(C,D,A)
      | ~ ( coll(A,B,C)
          & coll(A,B,D) ) ),
    inference(orientation,[status(thm)],[ruleD3]) ).

fof(ruleD2,axiom,
    ! [A,B,C] :
      ( coll(A,B,C)
     => coll(B,A,C) ),
    input ).

fof(ruleD2_0,plain,
    ! [A,B,C] :
      ( ~ coll(A,B,C)
      | coll(B,A,C) ),
    inference(orientation,[status(thm)],[ruleD2]) ).

fof(ruleD1,axiom,
    ! [A,B,C] :
      ( coll(A,B,C)
     => coll(A,C,B) ),
    input ).

fof(ruleD1_0,plain,
    ! [A,B,C] :
      ( ~ coll(A,B,C)
      | coll(A,C,B) ),
    inference(orientation,[status(thm)],[ruleD1]) ).

fof(def_lhs_atom1,axiom,
    ! [C,B,A] :
      ( lhs_atom1(C,B,A)
    <=> ~ coll(A,B,C) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [A,B,C] :
      ( lhs_atom1(C,B,A)
      | coll(A,C,B) ),
    inference(fold_definition,[status(thm)],[ruleD1_0,def_lhs_atom1]) ).

fof(to_be_clausified_1,plain,
    ! [A,B,C] :
      ( lhs_atom1(C,B,A)
      | coll(B,A,C) ),
    inference(fold_definition,[status(thm)],[ruleD2_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [D,C,A] :
      ( lhs_atom2(D,C,A)
    <=> coll(C,D,A) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ! [A,B,C,D] :
      ( lhs_atom2(D,C,A)
      | ~ ( coll(A,B,C)
          & coll(A,B,D) ) ),
    inference(fold_definition,[status(thm)],[ruleD3_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [D,C,B,A] :
      ( lhs_atom3(D,C,B,A)
    <=> ~ para(A,B,C,D) ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ! [A,B,C,D] :
      ( lhs_atom3(D,C,B,A)
      | para(A,B,D,C) ),
    inference(fold_definition,[status(thm)],[ruleD4_0,def_lhs_atom3]) ).

fof(to_be_clausified_4,plain,
    ! [A,B,C,D] :
      ( lhs_atom3(D,C,B,A)
      | para(C,D,A,B) ),
    inference(fold_definition,[status(thm)],[ruleD5_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ! [F,E,B,A] :
      ( lhs_atom4(F,E,B,A)
    <=> para(A,B,E,F) ),
    inference(definition,[],]) ).

fof(to_be_clausified_5,plain,
    ! [A,B,C,D,E,F] :
      ( lhs_atom4(F,E,B,A)
      | ~ ( para(A,B,C,D)
          & para(C,D,E,F) ) ),
    inference(fold_definition,[status(thm)],[ruleD6_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ! [D,C,B,A] :
      ( lhs_atom5(D,C,B,A)
    <=> ~ perp(A,B,C,D) ),
    inference(definition,[],]) ).

fof(to_be_clausified_6,plain,
    ! [A,B,C,D] :
      ( lhs_atom5(D,C,B,A)
      | perp(A,B,D,C) ),
    inference(fold_definition,[status(thm)],[ruleD7_0,def_lhs_atom5]) ).

fof(to_be_clausified_7,plain,
    ! [A,B,C,D] :
      ( lhs_atom5(D,C,B,A)
      | perp(C,D,A,B) ),
    inference(fold_definition,[status(thm)],[ruleD8_0,def_lhs_atom5]) ).

fof(to_be_clausified_8,plain,
    ! [A,B,C,D,E,F] :
      ( lhs_atom4(F,E,B,A)
      | ~ ( perp(A,B,C,D)
          & perp(C,D,E,F) ) ),
    inference(fold_definition,[status(thm)],[ruleD9_0,def_lhs_atom4]) ).

fof(def_lhs_atom6,axiom,
    ! [F,E,B,A] :
      ( lhs_atom6(F,E,B,A)
    <=> perp(A,B,E,F) ),
    inference(definition,[],]) ).

fof(to_be_clausified_9,plain,
    ! [A,B,C,D,E,F] :
      ( lhs_atom6(F,E,B,A)
      | ~ ( para(A,B,C,D)
          & perp(C,D,E,F) ) ),
    inference(fold_definition,[status(thm)],[ruleD10_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ! [M,B,A] :
      ( lhs_atom7(M,B,A)
    <=> ~ midp(M,B,A) ),
    inference(definition,[],]) ).

fof(to_be_clausified_10,plain,
    ! [A,B,M] :
      ( lhs_atom7(M,B,A)
      | midp(M,A,B) ),
    inference(fold_definition,[status(thm)],[ruleD11_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ! [O,C,B,A] :
      ( lhs_atom8(O,C,B,A)
    <=> circle(O,A,B,C) ),
    inference(definition,[],]) ).

fof(to_be_clausified_11,plain,
    ! [A,B,C,O] :
      ( lhs_atom8(O,C,B,A)
      | ~ ( cong(O,A,O,B)
          & cong(O,A,O,C) ) ),
    inference(fold_definition,[status(thm)],[ruleD12_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ! [D,C,B,A] :
      ( lhs_atom9(D,C,B,A)
    <=> cyclic(A,B,C,D) ),
    inference(definition,[],]) ).

fof(to_be_clausified_12,plain,
    ! [A,B,C,D,O] :
      ( lhs_atom9(D,C,B,A)
      | ~ ( cong(O,A,O,B)
          & cong(O,A,O,C)
          & cong(O,A,O,D) ) ),
    inference(fold_definition,[status(thm)],[ruleD13_0,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ! [D,C,B,A] :
      ( lhs_atom10(D,C,B,A)
    <=> ~ cyclic(A,B,C,D) ),
    inference(definition,[],]) ).

fof(to_be_clausified_13,plain,
    ! [A,B,C,D] :
      ( lhs_atom10(D,C,B,A)
      | cyclic(A,B,D,C) ),
    inference(fold_definition,[status(thm)],[ruleD14_0,def_lhs_atom10]) ).

fof(to_be_clausified_14,plain,
    ! [A,B,C,D] :
      ( lhs_atom10(D,C,B,A)
      | cyclic(A,C,B,D) ),
    inference(fold_definition,[status(thm)],[ruleD15_0,def_lhs_atom10]) ).

fof(to_be_clausified_15,plain,
    ! [A,B,C,D] :
      ( lhs_atom10(D,C,B,A)
      | cyclic(B,A,C,D) ),
    inference(fold_definition,[status(thm)],[ruleD16_0,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ! [E,D,C,B] :
      ( lhs_atom11(E,D,C,B)
    <=> cyclic(B,C,D,E) ),
    inference(definition,[],]) ).

fof(to_be_clausified_16,plain,
    ! [A,B,C,D,E] :
      ( lhs_atom11(E,D,C,B)
      | ~ ( cyclic(A,B,C,D)
          & cyclic(A,B,C,E) ) ),
    inference(fold_definition,[status(thm)],[ruleD17_0,def_lhs_atom11]) ).

fof(def_lhs_atom12,axiom,
    ! [V,U,Q,P,D,C,B,A] :
      ( lhs_atom12(V,U,Q,P,D,C,B,A)
    <=> ~ eqangle(A,B,C,D,P,Q,U,V) ),
    inference(definition,[],]) ).

fof(to_be_clausified_17,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( lhs_atom12(V,U,Q,P,D,C,B,A)
      | eqangle(B,A,C,D,P,Q,U,V) ),
    inference(fold_definition,[status(thm)],[ruleD18_0,def_lhs_atom12]) ).

fof(to_be_clausified_18,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( lhs_atom12(V,U,Q,P,D,C,B,A)
      | eqangle(C,D,A,B,U,V,P,Q) ),
    inference(fold_definition,[status(thm)],[ruleD19_0,def_lhs_atom12]) ).

fof(to_be_clausified_19,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( lhs_atom12(V,U,Q,P,D,C,B,A)
      | eqangle(P,Q,U,V,A,B,C,D) ),
    inference(fold_definition,[status(thm)],[ruleD20_0,def_lhs_atom12]) ).

fof(to_be_clausified_20,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( lhs_atom12(V,U,Q,P,D,C,B,A)
      | eqangle(A,B,P,Q,C,D,U,V) ),
    inference(fold_definition,[status(thm)],[ruleD21_0,def_lhs_atom12]) ).

fof(def_lhs_atom13,axiom,
    ! [H,G,F,E,D,C,B,A] :
      ( lhs_atom13(H,G,F,E,D,C,B,A)
    <=> eqangle(A,B,C,D,E,F,G,H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_21,plain,
    ! [A,B,C,D,E,F,G,H,P,Q,U,V] :
      ( lhs_atom13(H,G,F,E,D,C,B,A)
      | ~ ( eqangle(A,B,C,D,P,Q,U,V)
          & eqangle(P,Q,U,V,E,F,G,H) ) ),
    inference(fold_definition,[status(thm)],[ruleD22_0,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ! [D,C,B,A] :
      ( lhs_atom14(D,C,B,A)
    <=> ~ cong(A,B,C,D) ),
    inference(definition,[],]) ).

fof(to_be_clausified_22,plain,
    ! [A,B,C,D] :
      ( lhs_atom14(D,C,B,A)
      | cong(A,B,D,C) ),
    inference(fold_definition,[status(thm)],[ruleD23_0,def_lhs_atom14]) ).

fof(to_be_clausified_23,plain,
    ! [A,B,C,D] :
      ( lhs_atom14(D,C,B,A)
      | cong(C,D,A,B) ),
    inference(fold_definition,[status(thm)],[ruleD24_0,def_lhs_atom14]) ).

fof(def_lhs_atom15,axiom,
    ! [F,E,B,A] :
      ( lhs_atom15(F,E,B,A)
    <=> cong(A,B,E,F) ),
    inference(definition,[],]) ).

fof(to_be_clausified_24,plain,
    ! [A,B,C,D,E,F] :
      ( lhs_atom15(F,E,B,A)
      | ~ ( cong(A,B,C,D)
          & cong(C,D,E,F) ) ),
    inference(fold_definition,[status(thm)],[ruleD25_0,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ! [V,U,Q,P,D,C,B,A] :
      ( lhs_atom16(V,U,Q,P,D,C,B,A)
    <=> ~ eqratio(A,B,C,D,P,Q,U,V) ),
    inference(definition,[],]) ).

fof(to_be_clausified_25,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( lhs_atom16(V,U,Q,P,D,C,B,A)
      | eqratio(B,A,C,D,P,Q,U,V) ),
    inference(fold_definition,[status(thm)],[ruleD26_0,def_lhs_atom16]) ).

fof(to_be_clausified_26,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( lhs_atom16(V,U,Q,P,D,C,B,A)
      | eqratio(C,D,A,B,U,V,P,Q) ),
    inference(fold_definition,[status(thm)],[ruleD27_0,def_lhs_atom16]) ).

fof(to_be_clausified_27,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( lhs_atom16(V,U,Q,P,D,C,B,A)
      | eqratio(P,Q,U,V,A,B,C,D) ),
    inference(fold_definition,[status(thm)],[ruleD28_0,def_lhs_atom16]) ).

fof(to_be_clausified_28,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( lhs_atom16(V,U,Q,P,D,C,B,A)
      | eqratio(A,B,P,Q,C,D,U,V) ),
    inference(fold_definition,[status(thm)],[ruleD29_0,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ! [H,G,F,E,D,C,B,A] :
      ( lhs_atom17(H,G,F,E,D,C,B,A)
    <=> eqratio(A,B,C,D,E,F,G,H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_29,plain,
    ! [A,B,C,D,E,F,G,H,P,Q,U,V] :
      ( lhs_atom17(H,G,F,E,D,C,B,A)
      | ~ ( eqratio(A,B,C,D,P,Q,U,V)
          & eqratio(P,Q,U,V,E,F,G,H) ) ),
    inference(fold_definition,[status(thm)],[ruleD30_0,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ! [R,Q,P,C,B,A] :
      ( lhs_atom18(R,Q,P,C,B,A)
    <=> ~ simtri(A,C,B,P,R,Q) ),
    inference(definition,[],]) ).

fof(to_be_clausified_30,plain,
    ! [A,B,C,P,Q,R] :
      ( lhs_atom18(R,Q,P,C,B,A)
      | simtri(A,B,C,P,Q,R) ),
    inference(fold_definition,[status(thm)],[ruleD31_0,def_lhs_atom18]) ).

fof(def_lhs_atom19,axiom,
    ! [R,Q,P,C,B,A] :
      ( lhs_atom19(R,Q,P,C,B,A)
    <=> ~ simtri(B,A,C,Q,P,R) ),
    inference(definition,[],]) ).

fof(to_be_clausified_31,plain,
    ! [A,B,C,P,Q,R] :
      ( lhs_atom19(R,Q,P,C,B,A)
      | simtri(A,B,C,P,Q,R) ),
    inference(fold_definition,[status(thm)],[ruleD32_0,def_lhs_atom19]) ).

fof(def_lhs_atom20,axiom,
    ! [R,Q,P,C,B,A] :
      ( lhs_atom20(R,Q,P,C,B,A)
    <=> ~ simtri(P,Q,R,A,B,C) ),
    inference(definition,[],]) ).

fof(to_be_clausified_32,plain,
    ! [A,B,C,P,Q,R] :
      ( lhs_atom20(R,Q,P,C,B,A)
      | simtri(A,B,C,P,Q,R) ),
    inference(fold_definition,[status(thm)],[ruleD33_0,def_lhs_atom20]) ).

fof(def_lhs_atom21,axiom,
    ! [R,Q,P,C,B,A] :
      ( lhs_atom21(R,Q,P,C,B,A)
    <=> simtri(A,B,C,P,Q,R) ),
    inference(definition,[],]) ).

fof(to_be_clausified_33,plain,
    ! [A,B,C,E,F,G,P,Q,R] :
      ( lhs_atom21(R,Q,P,C,B,A)
      | ~ ( simtri(A,B,C,E,F,G)
          & simtri(E,F,G,P,Q,R) ) ),
    inference(fold_definition,[status(thm)],[ruleD34_0,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ! [R,Q,P,C,B,A] :
      ( lhs_atom22(R,Q,P,C,B,A)
    <=> ~ contri(A,C,B,P,R,Q) ),
    inference(definition,[],]) ).

fof(to_be_clausified_34,plain,
    ! [A,B,C,P,Q,R] :
      ( lhs_atom22(R,Q,P,C,B,A)
      | contri(A,B,C,P,Q,R) ),
    inference(fold_definition,[status(thm)],[ruleD35_0,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ! [R,Q,P,C,B,A] :
      ( lhs_atom23(R,Q,P,C,B,A)
    <=> ~ contri(B,A,C,Q,P,R) ),
    inference(definition,[],]) ).

fof(to_be_clausified_35,plain,
    ! [A,B,C,P,Q,R] :
      ( lhs_atom23(R,Q,P,C,B,A)
      | contri(A,B,C,P,Q,R) ),
    inference(fold_definition,[status(thm)],[ruleD36_0,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ! [R,Q,P,C,B,A] :
      ( lhs_atom24(R,Q,P,C,B,A)
    <=> ~ contri(P,Q,R,A,B,C) ),
    inference(definition,[],]) ).

fof(to_be_clausified_36,plain,
    ! [A,B,C,P,Q,R] :
      ( lhs_atom24(R,Q,P,C,B,A)
      | contri(A,B,C,P,Q,R) ),
    inference(fold_definition,[status(thm)],[ruleD37_0,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ! [R,Q,P,C,B,A] :
      ( lhs_atom25(R,Q,P,C,B,A)
    <=> contri(A,B,C,P,Q,R) ),
    inference(definition,[],]) ).

fof(to_be_clausified_37,plain,
    ! [A,B,C,E,F,G,P,Q,R] :
      ( lhs_atom25(R,Q,P,C,B,A)
      | ~ ( contri(A,B,C,E,F,G)
          & contri(E,F,G,P,Q,R) ) ),
    inference(fold_definition,[status(thm)],[ruleD38_0,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ! [Q,P,D,C,B,A] :
      ( lhs_atom26(Q,P,D,C,B,A)
    <=> ~ eqangle(A,B,P,Q,C,D,P,Q) ),
    inference(definition,[],]) ).

fof(to_be_clausified_38,plain,
    ! [A,B,C,D,P,Q] :
      ( lhs_atom26(Q,P,D,C,B,A)
      | para(A,B,C,D) ),
    inference(fold_definition,[status(thm)],[ruleD39_0,def_lhs_atom26]) ).

fof(to_be_clausified_39,plain,
    ! [A,B,C,D,P,Q] :
      ( lhs_atom3(D,C,B,A)
      | eqangle(A,B,P,Q,C,D,P,Q) ),
    inference(fold_definition,[status(thm)],[ruleD40_0,def_lhs_atom3]) ).

fof(def_lhs_atom27,axiom,
    ! [Q,P,B,A] :
      ( lhs_atom27(Q,P,B,A)
    <=> ~ cyclic(A,B,P,Q) ),
    inference(definition,[],]) ).

fof(to_be_clausified_40,plain,
    ! [A,B,P,Q] :
      ( lhs_atom27(Q,P,B,A)
      | eqangle(P,A,P,B,Q,A,Q,B) ),
    inference(fold_definition,[status(thm)],[ruleD41_0,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ! [Q,P,B,A] :
      ( lhs_atom28(Q,P,B,A)
    <=> cyclic(A,B,P,Q) ),
    inference(definition,[],]) ).

fof(to_be_clausified_41,plain,
    ! [A,B,P,Q] :
      ( lhs_atom28(Q,P,B,A)
      | ~ ( eqangle(P,A,P,B,Q,A,Q,B)
          & ~ coll(P,Q,A) ) ),
    inference(fold_definition,[status(thm)],[ruleD42a_0,def_lhs_atom28]) ).

fof(to_be_clausified_42,plain,
    ! [A,B,P,Q] :
      ( lhs_atom28(Q,P,B,A)
      | ~ ( eqangle(P,A,P,B,Q,A,Q,B)
          & coll(P,Q,B) ) ),
    inference(fold_definition,[status(thm)],[ruleD42b_0,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ! [Q,P,B,A] :
      ( lhs_atom29(Q,P,B,A)
    <=> cong(A,B,P,Q) ),
    inference(definition,[],]) ).

fof(to_be_clausified_43,plain,
    ! [A,B,C,P,Q,R] :
      ( lhs_atom29(Q,P,B,A)
      | ~ ( cyclic(A,B,C,P)
          & cyclic(A,B,C,Q)
          & cyclic(A,B,C,R)
          & eqangle(C,A,C,B,R,P,R,Q) ) ),
    inference(fold_definition,[status(thm)],[ruleD43_0,def_lhs_atom29]) ).

fof(def_lhs_atom30,axiom,
    ! [F,E,C,B] :
      ( lhs_atom30(F,E,C,B)
    <=> para(E,F,B,C) ),
    inference(definition,[],]) ).

fof(to_be_clausified_44,plain,
    ! [A,B,C,E,F] :
      ( lhs_atom30(F,E,C,B)
      | ~ ( midp(E,A,B)
          & midp(F,A,C) ) ),
    inference(fold_definition,[status(thm)],[ruleD44_0,def_lhs_atom30]) ).

fof(def_lhs_atom31,axiom,
    ! [F,C,A] :
      ( lhs_atom31(F,C,A)
    <=> midp(F,A,C) ),
    inference(definition,[],]) ).

fof(to_be_clausified_45,plain,
    ! [A,B,C,E,F] :
      ( lhs_atom31(F,C,A)
      | ~ ( midp(E,A,B)
          & para(E,F,B,C)
          & coll(F,A,C) ) ),
    inference(fold_definition,[status(thm)],[ruleD45_0,def_lhs_atom31]) ).

fof(def_lhs_atom32,axiom,
    ! [O,B,A] :
      ( lhs_atom32(O,B,A)
    <=> ~ cong(O,A,O,B) ),
    inference(definition,[],]) ).

fof(to_be_clausified_46,plain,
    ! [A,B,O] :
      ( lhs_atom32(O,B,A)
      | eqangle(O,A,A,B,A,B,O,B) ),
    inference(fold_definition,[status(thm)],[ruleD46_0,def_lhs_atom32]) ).

fof(def_lhs_atom33,axiom,
    ! [O,B,A] :
      ( lhs_atom33(O,B,A)
    <=> cong(O,A,O,B) ),
    inference(definition,[],]) ).

fof(to_be_clausified_47,plain,
    ! [A,B,O] :
      ( lhs_atom33(O,B,A)
      | ~ ( eqangle(O,A,A,B,A,B,O,B)
          & ~ coll(O,A,B) ) ),
    inference(fold_definition,[status(thm)],[ruleD47_0,def_lhs_atom33]) ).

fof(def_lhs_atom34,axiom,
    ! [X,C,B,A] :
      ( lhs_atom34(X,C,B,A)
    <=> eqangle(A,X,A,B,C,A,C,B) ),
    inference(definition,[],]) ).

fof(to_be_clausified_48,plain,
    ! [A,B,C,O,X] :
      ( lhs_atom34(X,C,B,A)
      | ~ ( circle(O,A,B,C)
          & perp(O,A,A,X) ) ),
    inference(fold_definition,[status(thm)],[ruleD48_0,def_lhs_atom34]) ).

fof(def_lhs_atom35,axiom,
    ! [X,O,A] :
      ( lhs_atom35(X,O,A)
    <=> perp(O,A,A,X) ),
    inference(definition,[],]) ).

fof(to_be_clausified_49,plain,
    ! [A,B,C,O,X] :
      ( lhs_atom35(X,O,A)
      | ~ ( circle(O,A,B,C)
          & eqangle(A,X,A,B,C,A,C,B) ) ),
    inference(fold_definition,[status(thm)],[ruleD49_0,def_lhs_atom35]) ).

fof(def_lhs_atom36,axiom,
    ! [O,M,C,B,A] :
      ( lhs_atom36(O,M,C,B,A)
    <=> eqangle(A,B,A,C,O,B,O,M) ),
    inference(definition,[],]) ).

fof(to_be_clausified_50,plain,
    ! [A,B,C,M,O] :
      ( lhs_atom36(O,M,C,B,A)
      | ~ ( circle(O,A,B,C)
          & midp(M,B,C) ) ),
    inference(fold_definition,[status(thm)],[ruleD50_0,def_lhs_atom36]) ).

fof(def_lhs_atom37,axiom,
    ! [M,C,B] :
      ( lhs_atom37(M,C,B)
    <=> midp(M,B,C) ),
    inference(definition,[],]) ).

fof(to_be_clausified_51,plain,
    ! [A,B,C,M,O] :
      ( lhs_atom37(M,C,B)
      | ~ ( circle(O,A,B,C)
          & coll(M,B,C)
          & eqangle(A,B,A,C,O,B,O,M) ) ),
    inference(fold_definition,[status(thm)],[ruleD51_0,def_lhs_atom37]) ).

fof(def_lhs_atom38,axiom,
    ! [M,B,A] :
      ( lhs_atom38(M,B,A)
    <=> cong(A,M,B,M) ),
    inference(definition,[],]) ).

fof(to_be_clausified_52,plain,
    ! [A,B,C,M] :
      ( lhs_atom38(M,B,A)
      | ~ ( perp(A,B,B,C)
          & midp(M,A,C) ) ),
    inference(fold_definition,[status(thm)],[ruleD52_0,def_lhs_atom38]) ).

fof(def_lhs_atom39,axiom,
    ! [C,B,A] :
      ( lhs_atom39(C,B,A)
    <=> perp(A,B,B,C) ),
    inference(definition,[],]) ).

fof(to_be_clausified_53,plain,
    ! [A,B,C,O] :
      ( lhs_atom39(C,B,A)
      | ~ ( circle(O,A,B,C)
          & coll(O,A,C) ) ),
    inference(fold_definition,[status(thm)],[ruleD53_0,def_lhs_atom39]) ).

fof(def_lhs_atom40,axiom,
    ! [D,C,B,A] :
      ( lhs_atom40(D,C,B,A)
    <=> eqangle(A,D,C,D,C,D,C,B) ),
    inference(definition,[],]) ).

fof(to_be_clausified_54,plain,
    ! [A,B,C,D] :
      ( lhs_atom40(D,C,B,A)
      | ~ ( cyclic(A,B,C,D)
          & para(A,B,C,D) ) ),
    inference(fold_definition,[status(thm)],[ruleD54_0,def_lhs_atom40]) ).

fof(to_be_clausified_55,plain,
    ! [A,B,M,O] :
      ( lhs_atom33(O,B,A)
      | ~ ( midp(M,A,B)
          & perp(O,M,A,B) ) ),
    inference(fold_definition,[status(thm)],[ruleD55_0,def_lhs_atom33]) ).

fof(def_lhs_atom41,axiom,
    ! [Q,P,B,A] :
      ( lhs_atom41(Q,P,B,A)
    <=> perp(A,B,P,Q) ),
    inference(definition,[],]) ).

fof(to_be_clausified_56,plain,
    ! [A,B,P,Q] :
      ( lhs_atom41(Q,P,B,A)
      | ~ ( cong(A,P,B,P)
          & cong(A,Q,B,Q) ) ),
    inference(fold_definition,[status(thm)],[ruleD56_0,def_lhs_atom41]) ).

fof(def_lhs_atom42,axiom,
    ! [Q,P,A] :
      ( lhs_atom42(Q,P,A)
    <=> perp(P,A,A,Q) ),
    inference(definition,[],]) ).

fof(to_be_clausified_57,plain,
    ! [A,B,P,Q] :
      ( lhs_atom42(Q,P,A)
      | ~ ( cong(A,P,B,P)
          & cong(A,Q,B,Q)
          & cyclic(A,B,P,Q) ) ),
    inference(fold_definition,[status(thm)],[ruleD57_0,def_lhs_atom42]) ).

fof(to_be_clausified_58,plain,
    ! [A,B,C,P,Q,R] :
      ( lhs_atom21(R,Q,P,C,B,A)
      | ~ ( eqangle(A,B,B,C,P,Q,Q,R)
          & eqangle(A,C,B,C,P,R,Q,R)
          & ~ coll(A,B,C) ) ),
    inference(fold_definition,[status(thm)],[ruleD58_0,def_lhs_atom21]) ).

fof(def_lhs_atom43,axiom,
    ! [R,Q,P,C,B,A] :
      ( lhs_atom43(R,Q,P,C,B,A)
    <=> ~ simtri(A,B,C,P,Q,R) ),
    inference(definition,[],]) ).

fof(to_be_clausified_59,plain,
    ! [A,B,C,P,Q,R] :
      ( lhs_atom43(R,Q,P,C,B,A)
      | eqratio(A,B,A,C,P,Q,P,R) ),
    inference(fold_definition,[status(thm)],[ruleD59_0,def_lhs_atom43]) ).

fof(to_be_clausified_60,plain,
    ! [A,B,C,P,Q,R] :
      ( lhs_atom43(R,Q,P,C,B,A)
      | eqangle(A,B,B,C,P,Q,Q,R) ),
    inference(fold_definition,[status(thm)],[ruleD60_0,def_lhs_atom43]) ).

fof(to_be_clausified_61,plain,
    ! [A,B,C,P,Q,R] :
      ( lhs_atom25(R,Q,P,C,B,A)
      | ~ ( simtri(A,B,C,P,Q,R)
          & cong(A,B,P,Q) ) ),
    inference(fold_definition,[status(thm)],[ruleD61_0,def_lhs_atom25]) ).

fof(def_lhs_atom44,axiom,
    ! [R,Q,P,C,B,A] :
      ( lhs_atom44(R,Q,P,C,B,A)
    <=> ~ contri(A,B,C,P,Q,R) ),
    inference(definition,[],]) ).

fof(to_be_clausified_62,plain,
    ! [A,B,C,P,Q,R] :
      ( lhs_atom44(R,Q,P,C,B,A)
      | cong(A,B,P,Q) ),
    inference(fold_definition,[status(thm)],[ruleD62_0,def_lhs_atom44]) ).

fof(def_lhs_atom45,axiom,
    ! [D,C,B,A] :
      ( lhs_atom45(D,C,B,A)
    <=> para(A,C,B,D) ),
    inference(definition,[],]) ).

fof(to_be_clausified_63,plain,
    ! [A,B,C,D,M] :
      ( lhs_atom45(D,C,B,A)
      | ~ ( midp(M,A,B)
          & midp(M,C,D) ) ),
    inference(fold_definition,[status(thm)],[ruleD63_0,def_lhs_atom45]) ).

fof(def_lhs_atom46,axiom,
    ! [M,D,C] :
      ( lhs_atom46(M,D,C)
    <=> midp(M,C,D) ),
    inference(definition,[],]) ).

fof(to_be_clausified_64,plain,
    ! [A,B,C,D,M] :
      ( lhs_atom46(M,D,C)
      | ~ ( midp(M,A,B)
          & para(A,C,B,D)
          & para(A,D,B,C) ) ),
    inference(fold_definition,[status(thm)],[ruleD64_0,def_lhs_atom46]) ).

fof(def_lhs_atom47,axiom,
    ! [O,D,C,B,A] :
      ( lhs_atom47(O,D,C,B,A)
    <=> eqratio(O,A,A,C,O,B,B,D) ),
    inference(definition,[],]) ).

fof(to_be_clausified_65,plain,
    ! [A,B,C,D,O] :
      ( lhs_atom47(O,D,C,B,A)
      | ~ ( para(A,B,C,D)
          & coll(O,A,C)
          & coll(O,B,D) ) ),
    inference(fold_definition,[status(thm)],[ruleD65_0,def_lhs_atom47]) ).

fof(def_lhs_atom48,axiom,
    ! [C,B,A] :
      ( lhs_atom48(C,B,A)
    <=> ~ para(A,B,A,C) ),
    inference(definition,[],]) ).

fof(to_be_clausified_66,plain,
    ! [A,B,C] :
      ( lhs_atom48(C,B,A)
      | coll(A,B,C) ),
    inference(fold_definition,[status(thm)],[ruleD66_0,def_lhs_atom48]) ).

fof(def_lhs_atom49,axiom,
    ! [C,B,A] :
      ( lhs_atom49(C,B,A)
    <=> midp(A,B,C) ),
    inference(definition,[],]) ).

fof(to_be_clausified_67,plain,
    ! [A,B,C] :
      ( lhs_atom49(C,B,A)
      | ~ ( cong(A,B,A,C)
          & coll(A,B,C) ) ),
    inference(fold_definition,[status(thm)],[ruleD67_0,def_lhs_atom49]) ).

fof(def_lhs_atom50,axiom,
    ! [C,B,A] :
      ( lhs_atom50(C,B,A)
    <=> ~ midp(A,B,C) ),
    inference(definition,[],]) ).

fof(to_be_clausified_68,plain,
    ! [A,B,C] :
      ( lhs_atom50(C,B,A)
      | cong(A,B,A,C) ),
    inference(fold_definition,[status(thm)],[ruleD68_0,def_lhs_atom50]) ).

fof(to_be_clausified_69,plain,
    ! [A,B,C] :
      ( lhs_atom50(C,B,A)
      | coll(A,B,C) ),
    inference(fold_definition,[status(thm)],[ruleD69_0,def_lhs_atom50]) ).

fof(def_lhs_atom51,axiom,
    ! [N,M,D,C,B,A] :
      ( lhs_atom51(N,M,D,C,B,A)
    <=> eqratio(M,A,A,B,N,C,C,D) ),
    inference(definition,[],]) ).

fof(to_be_clausified_70,plain,
    ! [A,B,C,D,M,N] :
      ( lhs_atom51(N,M,D,C,B,A)
      | ~ ( midp(M,A,B)
          & midp(N,C,D) ) ),
    inference(fold_definition,[status(thm)],[ruleD70_0,def_lhs_atom51]) ).

fof(def_lhs_atom52,axiom,
    ! [D,C,B,A] :
      ( lhs_atom52(D,C,B,A)
    <=> perp(A,B,C,D) ),
    inference(definition,[],]) ).

fof(to_be_clausified_71,plain,
    ! [A,B,C,D] :
      ( lhs_atom52(D,C,B,A)
      | ~ ( eqangle(A,B,C,D,C,D,A,B)
          & ~ para(A,B,C,D) ) ),
    inference(fold_definition,[status(thm)],[ruleD71_0,def_lhs_atom52]) ).

fof(def_lhs_atom53,axiom,
    ! [D,C,B,A] :
      ( lhs_atom53(D,C,B,A)
    <=> para(A,B,C,D) ),
    inference(definition,[],]) ).

fof(to_be_clausified_72,plain,
    ! [A,B,C,D] :
      ( lhs_atom53(D,C,B,A)
      | ~ ( eqangle(A,B,C,D,C,D,A,B)
          & ~ perp(A,B,C,D) ) ),
    inference(fold_definition,[status(thm)],[ruleD72_0,def_lhs_atom53]) ).

fof(to_be_clausified_73,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( lhs_atom53(D,C,B,A)
      | ~ ( eqangle(A,B,C,D,P,Q,U,V)
          & para(P,Q,U,V) ) ),
    inference(fold_definition,[status(thm)],[ruleD73_0,def_lhs_atom53]) ).

fof(to_be_clausified_74,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( lhs_atom52(D,C,B,A)
      | ~ ( eqangle(A,B,C,D,P,Q,U,V)
          & perp(P,Q,U,V) ) ),
    inference(fold_definition,[status(thm)],[ruleD74_0,def_lhs_atom52]) ).

fof(def_lhs_atom54,axiom,
    ! [D,C,B,A] :
      ( lhs_atom54(D,C,B,A)
    <=> cong(A,B,C,D) ),
    inference(definition,[],]) ).

fof(to_be_clausified_75,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( lhs_atom54(D,C,B,A)
      | ~ ( eqratio(A,B,C,D,P,Q,U,V)
          & cong(P,Q,U,V) ) ),
    inference(fold_definition,[status(thm)],[ruleD75_0,def_lhs_atom54]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X9,X10,X11,X12,X13,X14,X5,X6,X4,X1,X2,X3] :
      ( lhs_atom17(X13,X14,X5,X6,X4,X1,X2,X3)
      | ~ ( eqratio(X3,X2,X1,X4,X12,X11,X10,X9)
          & eqratio(X12,X11,X10,X9,X6,X5,X14,X13) ) ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_1,axiom,
    ! [X9,X10,X11,X12,X13,X14,X5,X6,X4,X1,X2,X3] :
      ( lhs_atom13(X13,X14,X5,X6,X4,X1,X2,X3)
      | ~ ( eqangle(X3,X2,X1,X4,X12,X11,X10,X9)
          & eqangle(X12,X11,X10,X9,X6,X5,X14,X13) ) ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_2,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom21(X15,X11,X12,X1,X2,X3)
      | ~ ( eqangle(X3,X2,X2,X1,X12,X11,X11,X15)
          & eqangle(X3,X1,X2,X1,X12,X15,X11,X15)
          & ~ coll(X3,X2,X1) ) ),
    file('<stdin>',to_be_clausified_58) ).

fof(c_0_3,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom16(X9,X10,X11,X12,X4,X1,X2,X3)
      | eqratio(X3,X2,X12,X11,X1,X4,X10,X9) ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_4,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom16(X9,X10,X11,X12,X4,X1,X2,X3)
      | eqratio(X12,X11,X10,X9,X3,X2,X1,X4) ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_5,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom16(X9,X10,X11,X12,X4,X1,X2,X3)
      | eqratio(X1,X4,X3,X2,X10,X9,X12,X11) ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_6,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom16(X9,X10,X11,X12,X4,X1,X2,X3)
      | eqratio(X2,X3,X1,X4,X12,X11,X10,X9) ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_7,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom12(X9,X10,X11,X12,X4,X1,X2,X3)
      | eqangle(X3,X2,X12,X11,X1,X4,X10,X9) ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_8,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom12(X9,X10,X11,X12,X4,X1,X2,X3)
      | eqangle(X12,X11,X10,X9,X3,X2,X1,X4) ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_9,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom12(X9,X10,X11,X12,X4,X1,X2,X3)
      | eqangle(X1,X4,X3,X2,X10,X9,X12,X11) ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_10,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom12(X9,X10,X11,X12,X4,X1,X2,X3)
      | eqangle(X2,X3,X1,X4,X12,X11,X10,X9) ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_11,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom29(X11,X12,X2,X3)
      | ~ ( cyclic(X3,X2,X1,X12)
          & cyclic(X3,X2,X1,X11)
          & cyclic(X3,X2,X1,X15)
          & eqangle(X1,X3,X1,X2,X15,X12,X15,X11) ) ),
    file('<stdin>',to_be_clausified_43) ).

fof(c_0_12,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom54(X4,X1,X2,X3)
      | ~ ( eqratio(X3,X2,X1,X4,X12,X11,X10,X9)
          & cong(X12,X11,X10,X9) ) ),
    file('<stdin>',to_be_clausified_75) ).

fof(c_0_13,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom52(X4,X1,X2,X3)
      | ~ ( eqangle(X3,X2,X1,X4,X12,X11,X10,X9)
          & perp(X12,X11,X10,X9) ) ),
    file('<stdin>',to_be_clausified_74) ).

fof(c_0_14,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom53(X4,X1,X2,X3)
      | ~ ( eqangle(X3,X2,X1,X4,X12,X11,X10,X9)
          & para(X12,X11,X10,X9) ) ),
    file('<stdin>',to_be_clausified_73) ).

fof(c_0_15,axiom,
    ! [X8,X7,X1,X2,X3] :
      ( lhs_atom37(X7,X1,X2)
      | ~ ( circle(X8,X3,X2,X1)
          & coll(X7,X2,X1)
          & eqangle(X3,X2,X3,X1,X8,X2,X8,X7) ) ),
    file('<stdin>',to_be_clausified_51) ).

fof(c_0_16,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom53(X4,X1,X2,X3)
      | ~ ( eqangle(X3,X2,X1,X4,X1,X4,X3,X2)
          & ~ perp(X3,X2,X1,X4) ) ),
    file('<stdin>',to_be_clausified_72) ).

fof(c_0_17,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom52(X4,X1,X2,X3)
      | ~ ( eqangle(X3,X2,X1,X4,X1,X4,X3,X2)
          & ~ para(X3,X2,X1,X4) ) ),
    file('<stdin>',to_be_clausified_71) ).

fof(c_0_18,axiom,
    ! [X16,X8,X1,X2,X3] :
      ( lhs_atom35(X16,X8,X3)
      | ~ ( circle(X8,X3,X2,X1)
          & eqangle(X3,X16,X3,X2,X1,X3,X1,X2) ) ),
    file('<stdin>',to_be_clausified_49) ).

fof(c_0_19,axiom,
    ! [X11,X12,X2,X3] :
      ( lhs_atom28(X11,X12,X2,X3)
      | ~ ( eqangle(X12,X3,X12,X2,X11,X3,X11,X2)
          & coll(X12,X11,X2) ) ),
    file('<stdin>',to_be_clausified_42) ).

fof(c_0_20,axiom,
    ! [X11,X12,X2,X3] :
      ( lhs_atom28(X11,X12,X2,X3)
      | ~ ( eqangle(X12,X3,X12,X2,X11,X3,X11,X2)
          & ~ coll(X12,X11,X3) ) ),
    file('<stdin>',to_be_clausified_41) ).

fof(c_0_21,axiom,
    ! [X8,X2,X3] :
      ( lhs_atom33(X8,X2,X3)
      | ~ ( eqangle(X8,X3,X3,X2,X3,X2,X8,X2)
          & ~ coll(X8,X3,X2) ) ),
    file('<stdin>',to_be_clausified_47) ).

fof(c_0_22,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom43(X15,X11,X12,X1,X2,X3)
      | eqangle(X3,X2,X2,X1,X12,X11,X11,X15) ),
    file('<stdin>',to_be_clausified_60) ).

fof(c_0_23,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom43(X15,X11,X12,X1,X2,X3)
      | eqratio(X3,X2,X3,X1,X12,X11,X12,X15) ),
    file('<stdin>',to_be_clausified_59) ).

fof(c_0_24,axiom,
    ! [X11,X12,X2,X3] :
      ( lhs_atom27(X11,X12,X2,X3)
      | eqangle(X12,X3,X12,X2,X11,X3,X11,X2) ),
    file('<stdin>',to_be_clausified_40) ).

fof(c_0_25,axiom,
    ! [X11,X12,X4,X1,X2,X3] :
      ( lhs_atom3(X4,X1,X2,X3)
      | eqangle(X3,X2,X12,X11,X1,X4,X12,X11) ),
    file('<stdin>',to_be_clausified_39) ).

fof(c_0_26,axiom,
    ! [X8,X2,X3] :
      ( lhs_atom32(X8,X2,X3)
      | eqangle(X8,X3,X3,X2,X3,X2,X8,X2) ),
    file('<stdin>',to_be_clausified_46) ).

fof(c_0_27,axiom,
    ! [X15,X11,X12,X14,X5,X6,X1,X2,X3] :
      ( lhs_atom25(X15,X11,X12,X1,X2,X3)
      | ~ ( contri(X3,X2,X1,X6,X5,X14)
          & contri(X6,X5,X14,X12,X11,X15) ) ),
    file('<stdin>',to_be_clausified_37) ).

fof(c_0_28,axiom,
    ! [X15,X11,X12,X14,X5,X6,X1,X2,X3] :
      ( lhs_atom21(X15,X11,X12,X1,X2,X3)
      | ~ ( simtri(X3,X2,X1,X6,X5,X14)
          & simtri(X6,X5,X14,X12,X11,X15) ) ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_29,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom25(X15,X11,X12,X1,X2,X3)
      | ~ ( simtri(X3,X2,X1,X12,X11,X15)
          & cong(X3,X2,X12,X11) ) ),
    file('<stdin>',to_be_clausified_61) ).

fof(c_0_30,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom24(X15,X11,X12,X1,X2,X3)
      | contri(X3,X2,X1,X12,X11,X15) ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_31,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom23(X15,X11,X12,X1,X2,X3)
      | contri(X3,X2,X1,X12,X11,X15) ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_32,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom22(X15,X11,X12,X1,X2,X3)
      | contri(X3,X2,X1,X12,X11,X15) ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_33,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom20(X15,X11,X12,X1,X2,X3)
      | simtri(X3,X2,X1,X12,X11,X15) ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_34,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom19(X15,X11,X12,X1,X2,X3)
      | simtri(X3,X2,X1,X12,X11,X15) ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_35,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom18(X15,X11,X12,X1,X2,X3)
      | simtri(X3,X2,X1,X12,X11,X15) ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_36,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom44(X15,X11,X12,X1,X2,X3)
      | cong(X3,X2,X12,X11) ),
    file('<stdin>',to_be_clausified_62) ).

fof(c_0_37,axiom,
    ! [X11,X12,X4,X1,X2,X3] :
      ( lhs_atom26(X11,X12,X4,X1,X2,X3)
      | para(X3,X2,X1,X4) ),
    file('<stdin>',to_be_clausified_38) ).

fof(c_0_38,axiom,
    ! [X17,X7,X4,X1,X2,X3] :
      ( lhs_atom51(X17,X7,X4,X1,X2,X3)
      | ~ ( midp(X7,X3,X2)
          & midp(X17,X1,X4) ) ),
    file('<stdin>',to_be_clausified_70) ).

fof(c_0_39,axiom,
    ! [X8,X4,X1,X2,X3] :
      ( lhs_atom47(X8,X4,X1,X2,X3)
      | ~ ( para(X3,X2,X1,X4)
          & coll(X8,X3,X1)
          & coll(X8,X2,X4) ) ),
    file('<stdin>',to_be_clausified_65) ).

fof(c_0_40,axiom,
    ! [X8,X7,X1,X2,X3] :
      ( lhs_atom36(X8,X7,X1,X2,X3)
      | ~ ( circle(X8,X3,X2,X1)
          & midp(X7,X2,X1) ) ),
    file('<stdin>',to_be_clausified_50) ).

fof(c_0_41,axiom,
    ! [X8,X4,X1,X2,X3] :
      ( lhs_atom9(X4,X1,X2,X3)
      | ~ ( cong(X8,X3,X8,X2)
          & cong(X8,X3,X8,X1)
          & cong(X8,X3,X8,X4) ) ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_42,axiom,
    ! [X11,X12,X2,X3] :
      ( lhs_atom42(X11,X12,X3)
      | ~ ( cong(X3,X12,X2,X12)
          & cong(X3,X11,X2,X11)
          & cyclic(X3,X2,X12,X11) ) ),
    file('<stdin>',to_be_clausified_57) ).

fof(c_0_43,axiom,
    ! [X11,X12,X2,X3] :
      ( lhs_atom41(X11,X12,X2,X3)
      | ~ ( cong(X3,X12,X2,X12)
          & cong(X3,X11,X2,X11) ) ),
    file('<stdin>',to_be_clausified_56) ).

fof(c_0_44,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom40(X4,X1,X2,X3)
      | ~ ( cyclic(X3,X2,X1,X4)
          & para(X3,X2,X1,X4) ) ),
    file('<stdin>',to_be_clausified_54) ).

fof(c_0_45,axiom,
    ! [X16,X8,X1,X2,X3] :
      ( lhs_atom34(X16,X1,X2,X3)
      | ~ ( circle(X8,X3,X2,X1)
          & perp(X8,X3,X3,X16) ) ),
    file('<stdin>',to_be_clausified_48) ).

fof(c_0_46,axiom,
    ! [X5,X6,X4,X1,X2,X3] :
      ( lhs_atom15(X5,X6,X2,X3)
      | ~ ( cong(X3,X2,X1,X4)
          & cong(X1,X4,X6,X5) ) ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_47,axiom,
    ! [X6,X4,X1,X2,X3] :
      ( lhs_atom11(X6,X4,X1,X2)
      | ~ ( cyclic(X3,X2,X1,X4)
          & cyclic(X3,X2,X1,X6) ) ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_48,axiom,
    ! [X8,X1,X2,X3] :
      ( lhs_atom8(X8,X1,X2,X3)
      | ~ ( cong(X8,X3,X8,X2)
          & cong(X8,X3,X8,X1) ) ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_49,axiom,
    ! [X5,X6,X4,X1,X2,X3] :
      ( lhs_atom6(X5,X6,X2,X3)
      | ~ ( para(X3,X2,X1,X4)
          & perp(X1,X4,X6,X5) ) ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_50,axiom,
    ! [X5,X6,X4,X1,X2,X3] :
      ( lhs_atom4(X5,X6,X2,X3)
      | ~ ( perp(X3,X2,X1,X4)
          & perp(X1,X4,X6,X5) ) ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_51,axiom,
    ! [X5,X6,X4,X1,X2,X3] :
      ( lhs_atom4(X5,X6,X2,X3)
      | ~ ( para(X3,X2,X1,X4)
          & para(X1,X4,X6,X5) ) ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_52,axiom,
    ! [X7,X4,X1,X2,X3] :
      ( lhs_atom46(X7,X4,X1)
      | ~ ( midp(X7,X3,X2)
          & para(X3,X1,X2,X4)
          & para(X3,X4,X2,X1) ) ),
    file('<stdin>',to_be_clausified_64) ).

fof(c_0_53,axiom,
    ! [X5,X6,X1,X2,X3] :
      ( lhs_atom31(X5,X1,X3)
      | ~ ( midp(X6,X3,X2)
          & para(X6,X5,X2,X1)
          & coll(X5,X3,X1) ) ),
    file('<stdin>',to_be_clausified_45) ).

fof(c_0_54,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom49(X1,X2,X3)
      | ~ ( cong(X3,X2,X3,X1)
          & coll(X3,X2,X1) ) ),
    file('<stdin>',to_be_clausified_67) ).

fof(c_0_55,axiom,
    ! [X8,X7,X2,X3] :
      ( lhs_atom33(X8,X2,X3)
      | ~ ( midp(X7,X3,X2)
          & perp(X8,X7,X3,X2) ) ),
    file('<stdin>',to_be_clausified_55) ).

fof(c_0_56,axiom,
    ! [X8,X1,X2,X3] :
      ( lhs_atom39(X1,X2,X3)
      | ~ ( circle(X8,X3,X2,X1)
          & coll(X8,X3,X1) ) ),
    file('<stdin>',to_be_clausified_53) ).

fof(c_0_57,axiom,
    ! [X7,X1,X2,X3] :
      ( lhs_atom38(X7,X2,X3)
      | ~ ( perp(X3,X2,X2,X1)
          & midp(X7,X3,X1) ) ),
    file('<stdin>',to_be_clausified_52) ).

fof(c_0_58,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom14(X4,X1,X2,X3)
      | cong(X1,X4,X3,X2) ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_59,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom14(X4,X1,X2,X3)
      | cong(X3,X2,X4,X1) ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_60,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom10(X4,X1,X2,X3)
      | cyclic(X2,X3,X1,X4) ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_61,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom10(X4,X1,X2,X3)
      | cyclic(X3,X1,X2,X4) ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_62,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom10(X4,X1,X2,X3)
      | cyclic(X3,X2,X4,X1) ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_63,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom5(X4,X1,X2,X3)
      | perp(X1,X4,X3,X2) ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_64,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom5(X4,X1,X2,X3)
      | perp(X3,X2,X4,X1) ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_65,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom3(X4,X1,X2,X3)
      | para(X1,X4,X3,X2) ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_66,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom3(X4,X1,X2,X3)
      | para(X3,X2,X4,X1) ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_67,axiom,
    ! [X7,X4,X1,X2,X3] :
      ( lhs_atom45(X4,X1,X2,X3)
      | ~ ( midp(X7,X3,X2)
          & midp(X7,X1,X4) ) ),
    file('<stdin>',to_be_clausified_63) ).

fof(c_0_68,axiom,
    ! [X5,X6,X1,X2,X3] :
      ( lhs_atom30(X5,X6,X1,X2)
      | ~ ( midp(X6,X3,X2)
          & midp(X5,X3,X1) ) ),
    file('<stdin>',to_be_clausified_44) ).

fof(c_0_69,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom50(X1,X2,X3)
      | cong(X3,X2,X3,X1) ),
    file('<stdin>',to_be_clausified_68) ).

fof(c_0_70,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom2(X4,X1,X3)
      | ~ ( coll(X3,X2,X1)
          & coll(X3,X2,X4) ) ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_71,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom50(X1,X2,X3)
      | coll(X3,X2,X1) ),
    file('<stdin>',to_be_clausified_69) ).

fof(c_0_72,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom48(X1,X2,X3)
      | coll(X3,X2,X1) ),
    file('<stdin>',to_be_clausified_66) ).

fof(c_0_73,axiom,
    ! [X7,X2,X3] :
      ( lhs_atom7(X7,X2,X3)
      | midp(X7,X3,X2) ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_74,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom1(X1,X2,X3)
      | coll(X2,X3,X1) ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_75,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom1(X1,X2,X3)
      | coll(X3,X1,X2) ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_76,axiom,
    ! [X9,X10,X11,X12,X13,X14,X5,X6,X4,X1,X2,X3] :
      ( lhs_atom17(X13,X14,X5,X6,X4,X1,X2,X3)
      | ~ ( eqratio(X3,X2,X1,X4,X12,X11,X10,X9)
          & eqratio(X12,X11,X10,X9,X6,X5,X14,X13) ) ),
    c_0_0 ).

fof(c_0_77,axiom,
    ! [X9,X10,X11,X12,X13,X14,X5,X6,X4,X1,X2,X3] :
      ( lhs_atom13(X13,X14,X5,X6,X4,X1,X2,X3)
      | ~ ( eqangle(X3,X2,X1,X4,X12,X11,X10,X9)
          & eqangle(X12,X11,X10,X9,X6,X5,X14,X13) ) ),
    c_0_1 ).

fof(c_0_78,plain,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom21(X15,X11,X12,X1,X2,X3)
      | ~ ( eqangle(X3,X2,X2,X1,X12,X11,X11,X15)
          & eqangle(X3,X1,X2,X1,X12,X15,X11,X15)
          & ~ coll(X3,X2,X1) ) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_79,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom16(X9,X10,X11,X12,X4,X1,X2,X3)
      | eqratio(X3,X2,X12,X11,X1,X4,X10,X9) ),
    c_0_3 ).

fof(c_0_80,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom16(X9,X10,X11,X12,X4,X1,X2,X3)
      | eqratio(X12,X11,X10,X9,X3,X2,X1,X4) ),
    c_0_4 ).

fof(c_0_81,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom16(X9,X10,X11,X12,X4,X1,X2,X3)
      | eqratio(X1,X4,X3,X2,X10,X9,X12,X11) ),
    c_0_5 ).

fof(c_0_82,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom16(X9,X10,X11,X12,X4,X1,X2,X3)
      | eqratio(X2,X3,X1,X4,X12,X11,X10,X9) ),
    c_0_6 ).

fof(c_0_83,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom12(X9,X10,X11,X12,X4,X1,X2,X3)
      | eqangle(X3,X2,X12,X11,X1,X4,X10,X9) ),
    c_0_7 ).

fof(c_0_84,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom12(X9,X10,X11,X12,X4,X1,X2,X3)
      | eqangle(X12,X11,X10,X9,X3,X2,X1,X4) ),
    c_0_8 ).

fof(c_0_85,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom12(X9,X10,X11,X12,X4,X1,X2,X3)
      | eqangle(X1,X4,X3,X2,X10,X9,X12,X11) ),
    c_0_9 ).

fof(c_0_86,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom12(X9,X10,X11,X12,X4,X1,X2,X3)
      | eqangle(X2,X3,X1,X4,X12,X11,X10,X9) ),
    c_0_10 ).

fof(c_0_87,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom29(X11,X12,X2,X3)
      | ~ ( cyclic(X3,X2,X1,X12)
          & cyclic(X3,X2,X1,X11)
          & cyclic(X3,X2,X1,X15)
          & eqangle(X1,X3,X1,X2,X15,X12,X15,X11) ) ),
    c_0_11 ).

fof(c_0_88,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom54(X4,X1,X2,X3)
      | ~ ( eqratio(X3,X2,X1,X4,X12,X11,X10,X9)
          & cong(X12,X11,X10,X9) ) ),
    c_0_12 ).

fof(c_0_89,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom52(X4,X1,X2,X3)
      | ~ ( eqangle(X3,X2,X1,X4,X12,X11,X10,X9)
          & perp(X12,X11,X10,X9) ) ),
    c_0_13 ).

fof(c_0_90,axiom,
    ! [X9,X10,X11,X12,X4,X1,X2,X3] :
      ( lhs_atom53(X4,X1,X2,X3)
      | ~ ( eqangle(X3,X2,X1,X4,X12,X11,X10,X9)
          & para(X12,X11,X10,X9) ) ),
    c_0_14 ).

fof(c_0_91,axiom,
    ! [X8,X7,X1,X2,X3] :
      ( lhs_atom37(X7,X1,X2)
      | ~ ( circle(X8,X3,X2,X1)
          & coll(X7,X2,X1)
          & eqangle(X3,X2,X3,X1,X8,X2,X8,X7) ) ),
    c_0_15 ).

fof(c_0_92,plain,
    ! [X4,X1,X2,X3] :
      ( lhs_atom53(X4,X1,X2,X3)
      | ~ ( eqangle(X3,X2,X1,X4,X1,X4,X3,X2)
          & ~ perp(X3,X2,X1,X4) ) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_93,plain,
    ! [X4,X1,X2,X3] :
      ( lhs_atom52(X4,X1,X2,X3)
      | ~ ( eqangle(X3,X2,X1,X4,X1,X4,X3,X2)
          & ~ para(X3,X2,X1,X4) ) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_94,axiom,
    ! [X16,X8,X1,X2,X3] :
      ( lhs_atom35(X16,X8,X3)
      | ~ ( circle(X8,X3,X2,X1)
          & eqangle(X3,X16,X3,X2,X1,X3,X1,X2) ) ),
    c_0_18 ).

fof(c_0_95,axiom,
    ! [X11,X12,X2,X3] :
      ( lhs_atom28(X11,X12,X2,X3)
      | ~ ( eqangle(X12,X3,X12,X2,X11,X3,X11,X2)
          & coll(X12,X11,X2) ) ),
    c_0_19 ).

fof(c_0_96,plain,
    ! [X11,X12,X2,X3] :
      ( lhs_atom28(X11,X12,X2,X3)
      | ~ ( eqangle(X12,X3,X12,X2,X11,X3,X11,X2)
          & ~ coll(X12,X11,X3) ) ),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_97,plain,
    ! [X8,X2,X3] :
      ( lhs_atom33(X8,X2,X3)
      | ~ ( eqangle(X8,X3,X3,X2,X3,X2,X8,X2)
          & ~ coll(X8,X3,X2) ) ),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_98,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom43(X15,X11,X12,X1,X2,X3)
      | eqangle(X3,X2,X2,X1,X12,X11,X11,X15) ),
    c_0_22 ).

fof(c_0_99,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom43(X15,X11,X12,X1,X2,X3)
      | eqratio(X3,X2,X3,X1,X12,X11,X12,X15) ),
    c_0_23 ).

fof(c_0_100,axiom,
    ! [X11,X12,X2,X3] :
      ( lhs_atom27(X11,X12,X2,X3)
      | eqangle(X12,X3,X12,X2,X11,X3,X11,X2) ),
    c_0_24 ).

fof(c_0_101,axiom,
    ! [X11,X12,X4,X1,X2,X3] :
      ( lhs_atom3(X4,X1,X2,X3)
      | eqangle(X3,X2,X12,X11,X1,X4,X12,X11) ),
    c_0_25 ).

fof(c_0_102,axiom,
    ! [X8,X2,X3] :
      ( lhs_atom32(X8,X2,X3)
      | eqangle(X8,X3,X3,X2,X3,X2,X8,X2) ),
    c_0_26 ).

fof(c_0_103,axiom,
    ! [X15,X11,X12,X14,X5,X6,X1,X2,X3] :
      ( lhs_atom25(X15,X11,X12,X1,X2,X3)
      | ~ ( contri(X3,X2,X1,X6,X5,X14)
          & contri(X6,X5,X14,X12,X11,X15) ) ),
    c_0_27 ).

fof(c_0_104,axiom,
    ! [X15,X11,X12,X14,X5,X6,X1,X2,X3] :
      ( lhs_atom21(X15,X11,X12,X1,X2,X3)
      | ~ ( simtri(X3,X2,X1,X6,X5,X14)
          & simtri(X6,X5,X14,X12,X11,X15) ) ),
    c_0_28 ).

fof(c_0_105,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom25(X15,X11,X12,X1,X2,X3)
      | ~ ( simtri(X3,X2,X1,X12,X11,X15)
          & cong(X3,X2,X12,X11) ) ),
    c_0_29 ).

fof(c_0_106,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom24(X15,X11,X12,X1,X2,X3)
      | contri(X3,X2,X1,X12,X11,X15) ),
    c_0_30 ).

fof(c_0_107,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom23(X15,X11,X12,X1,X2,X3)
      | contri(X3,X2,X1,X12,X11,X15) ),
    c_0_31 ).

fof(c_0_108,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom22(X15,X11,X12,X1,X2,X3)
      | contri(X3,X2,X1,X12,X11,X15) ),
    c_0_32 ).

fof(c_0_109,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom20(X15,X11,X12,X1,X2,X3)
      | simtri(X3,X2,X1,X12,X11,X15) ),
    c_0_33 ).

fof(c_0_110,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom19(X15,X11,X12,X1,X2,X3)
      | simtri(X3,X2,X1,X12,X11,X15) ),
    c_0_34 ).

fof(c_0_111,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom18(X15,X11,X12,X1,X2,X3)
      | simtri(X3,X2,X1,X12,X11,X15) ),
    c_0_35 ).

fof(c_0_112,axiom,
    ! [X15,X11,X12,X1,X2,X3] :
      ( lhs_atom44(X15,X11,X12,X1,X2,X3)
      | cong(X3,X2,X12,X11) ),
    c_0_36 ).

fof(c_0_113,axiom,
    ! [X11,X12,X4,X1,X2,X3] :
      ( lhs_atom26(X11,X12,X4,X1,X2,X3)
      | para(X3,X2,X1,X4) ),
    c_0_37 ).

fof(c_0_114,axiom,
    ! [X17,X7,X4,X1,X2,X3] :
      ( lhs_atom51(X17,X7,X4,X1,X2,X3)
      | ~ ( midp(X7,X3,X2)
          & midp(X17,X1,X4) ) ),
    c_0_38 ).

fof(c_0_115,axiom,
    ! [X8,X4,X1,X2,X3] :
      ( lhs_atom47(X8,X4,X1,X2,X3)
      | ~ ( para(X3,X2,X1,X4)
          & coll(X8,X3,X1)
          & coll(X8,X2,X4) ) ),
    c_0_39 ).

fof(c_0_116,axiom,
    ! [X8,X7,X1,X2,X3] :
      ( lhs_atom36(X8,X7,X1,X2,X3)
      | ~ ( circle(X8,X3,X2,X1)
          & midp(X7,X2,X1) ) ),
    c_0_40 ).

fof(c_0_117,axiom,
    ! [X8,X4,X1,X2,X3] :
      ( lhs_atom9(X4,X1,X2,X3)
      | ~ ( cong(X8,X3,X8,X2)
          & cong(X8,X3,X8,X1)
          & cong(X8,X3,X8,X4) ) ),
    c_0_41 ).

fof(c_0_118,axiom,
    ! [X11,X12,X2,X3] :
      ( lhs_atom42(X11,X12,X3)
      | ~ ( cong(X3,X12,X2,X12)
          & cong(X3,X11,X2,X11)
          & cyclic(X3,X2,X12,X11) ) ),
    c_0_42 ).

fof(c_0_119,axiom,
    ! [X11,X12,X2,X3] :
      ( lhs_atom41(X11,X12,X2,X3)
      | ~ ( cong(X3,X12,X2,X12)
          & cong(X3,X11,X2,X11) ) ),
    c_0_43 ).

fof(c_0_120,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom40(X4,X1,X2,X3)
      | ~ ( cyclic(X3,X2,X1,X4)
          & para(X3,X2,X1,X4) ) ),
    c_0_44 ).

fof(c_0_121,axiom,
    ! [X16,X8,X1,X2,X3] :
      ( lhs_atom34(X16,X1,X2,X3)
      | ~ ( circle(X8,X3,X2,X1)
          & perp(X8,X3,X3,X16) ) ),
    c_0_45 ).

fof(c_0_122,axiom,
    ! [X5,X6,X4,X1,X2,X3] :
      ( lhs_atom15(X5,X6,X2,X3)
      | ~ ( cong(X3,X2,X1,X4)
          & cong(X1,X4,X6,X5) ) ),
    c_0_46 ).

fof(c_0_123,axiom,
    ! [X6,X4,X1,X2,X3] :
      ( lhs_atom11(X6,X4,X1,X2)
      | ~ ( cyclic(X3,X2,X1,X4)
          & cyclic(X3,X2,X1,X6) ) ),
    c_0_47 ).

fof(c_0_124,axiom,
    ! [X8,X1,X2,X3] :
      ( lhs_atom8(X8,X1,X2,X3)
      | ~ ( cong(X8,X3,X8,X2)
          & cong(X8,X3,X8,X1) ) ),
    c_0_48 ).

fof(c_0_125,axiom,
    ! [X5,X6,X4,X1,X2,X3] :
      ( lhs_atom6(X5,X6,X2,X3)
      | ~ ( para(X3,X2,X1,X4)
          & perp(X1,X4,X6,X5) ) ),
    c_0_49 ).

fof(c_0_126,axiom,
    ! [X5,X6,X4,X1,X2,X3] :
      ( lhs_atom4(X5,X6,X2,X3)
      | ~ ( perp(X3,X2,X1,X4)
          & perp(X1,X4,X6,X5) ) ),
    c_0_50 ).

fof(c_0_127,axiom,
    ! [X5,X6,X4,X1,X2,X3] :
      ( lhs_atom4(X5,X6,X2,X3)
      | ~ ( para(X3,X2,X1,X4)
          & para(X1,X4,X6,X5) ) ),
    c_0_51 ).

fof(c_0_128,axiom,
    ! [X7,X4,X1,X2,X3] :
      ( lhs_atom46(X7,X4,X1)
      | ~ ( midp(X7,X3,X2)
          & para(X3,X1,X2,X4)
          & para(X3,X4,X2,X1) ) ),
    c_0_52 ).

fof(c_0_129,axiom,
    ! [X5,X6,X1,X2,X3] :
      ( lhs_atom31(X5,X1,X3)
      | ~ ( midp(X6,X3,X2)
          & para(X6,X5,X2,X1)
          & coll(X5,X3,X1) ) ),
    c_0_53 ).

fof(c_0_130,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom49(X1,X2,X3)
      | ~ ( cong(X3,X2,X3,X1)
          & coll(X3,X2,X1) ) ),
    c_0_54 ).

fof(c_0_131,axiom,
    ! [X8,X7,X2,X3] :
      ( lhs_atom33(X8,X2,X3)
      | ~ ( midp(X7,X3,X2)
          & perp(X8,X7,X3,X2) ) ),
    c_0_55 ).

fof(c_0_132,axiom,
    ! [X8,X1,X2,X3] :
      ( lhs_atom39(X1,X2,X3)
      | ~ ( circle(X8,X3,X2,X1)
          & coll(X8,X3,X1) ) ),
    c_0_56 ).

fof(c_0_133,axiom,
    ! [X7,X1,X2,X3] :
      ( lhs_atom38(X7,X2,X3)
      | ~ ( perp(X3,X2,X2,X1)
          & midp(X7,X3,X1) ) ),
    c_0_57 ).

fof(c_0_134,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom14(X4,X1,X2,X3)
      | cong(X1,X4,X3,X2) ),
    c_0_58 ).

fof(c_0_135,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom14(X4,X1,X2,X3)
      | cong(X3,X2,X4,X1) ),
    c_0_59 ).

fof(c_0_136,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom10(X4,X1,X2,X3)
      | cyclic(X2,X3,X1,X4) ),
    c_0_60 ).

fof(c_0_137,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom10(X4,X1,X2,X3)
      | cyclic(X3,X1,X2,X4) ),
    c_0_61 ).

fof(c_0_138,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom10(X4,X1,X2,X3)
      | cyclic(X3,X2,X4,X1) ),
    c_0_62 ).

fof(c_0_139,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom5(X4,X1,X2,X3)
      | perp(X1,X4,X3,X2) ),
    c_0_63 ).

fof(c_0_140,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom5(X4,X1,X2,X3)
      | perp(X3,X2,X4,X1) ),
    c_0_64 ).

fof(c_0_141,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom3(X4,X1,X2,X3)
      | para(X1,X4,X3,X2) ),
    c_0_65 ).

fof(c_0_142,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom3(X4,X1,X2,X3)
      | para(X3,X2,X4,X1) ),
    c_0_66 ).

fof(c_0_143,axiom,
    ! [X7,X4,X1,X2,X3] :
      ( lhs_atom45(X4,X1,X2,X3)
      | ~ ( midp(X7,X3,X2)
          & midp(X7,X1,X4) ) ),
    c_0_67 ).

fof(c_0_144,axiom,
    ! [X5,X6,X1,X2,X3] :
      ( lhs_atom30(X5,X6,X1,X2)
      | ~ ( midp(X6,X3,X2)
          & midp(X5,X3,X1) ) ),
    c_0_68 ).

fof(c_0_145,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom50(X1,X2,X3)
      | cong(X3,X2,X3,X1) ),
    c_0_69 ).

fof(c_0_146,axiom,
    ! [X4,X1,X2,X3] :
      ( lhs_atom2(X4,X1,X3)
      | ~ ( coll(X3,X2,X1)
          & coll(X3,X2,X4) ) ),
    c_0_70 ).

fof(c_0_147,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom50(X1,X2,X3)
      | coll(X3,X2,X1) ),
    c_0_71 ).

fof(c_0_148,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom48(X1,X2,X3)
      | coll(X3,X2,X1) ),
    c_0_72 ).

fof(c_0_149,axiom,
    ! [X7,X2,X3] :
      ( lhs_atom7(X7,X2,X3)
      | midp(X7,X3,X2) ),
    c_0_73 ).

fof(c_0_150,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom1(X1,X2,X3)
      | coll(X2,X3,X1) ),
    c_0_74 ).

fof(c_0_151,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom1(X1,X2,X3)
      | coll(X3,X1,X2) ),
    c_0_75 ).

fof(c_0_152,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26] :
      ( lhs_atom17(X19,X20,X21,X22,X23,X24,X25,X26)
      | ~ eqratio(X26,X25,X24,X23,X18,X17,X16,X15)
      | ~ eqratio(X18,X17,X16,X15,X22,X21,X20,X19) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])]) ).

fof(c_0_153,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26] :
      ( lhs_atom13(X19,X20,X21,X22,X23,X24,X25,X26)
      | ~ eqangle(X26,X25,X24,X23,X18,X17,X16,X15)
      | ~ eqangle(X18,X17,X16,X15,X22,X21,X20,X19) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])]) ).

fof(c_0_154,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( lhs_atom21(X16,X17,X18,X19,X20,X21)
      | ~ eqangle(X21,X20,X20,X19,X18,X17,X17,X16)
      | ~ eqangle(X21,X19,X20,X19,X18,X16,X17,X16)
      | coll(X21,X20,X19) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])]) ).

fof(c_0_155,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( lhs_atom16(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqratio(X20,X19,X16,X15,X18,X17,X14,X13) ),
    inference(variable_rename,[status(thm)],[c_0_79]) ).

fof(c_0_156,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( lhs_atom16(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqratio(X16,X15,X14,X13,X20,X19,X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_80]) ).

fof(c_0_157,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( lhs_atom16(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqratio(X18,X17,X20,X19,X14,X13,X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_81]) ).

fof(c_0_158,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( lhs_atom16(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqratio(X19,X20,X18,X17,X16,X15,X14,X13) ),
    inference(variable_rename,[status(thm)],[c_0_82]) ).

fof(c_0_159,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( lhs_atom12(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X20,X19,X16,X15,X18,X17,X14,X13) ),
    inference(variable_rename,[status(thm)],[c_0_83]) ).

fof(c_0_160,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( lhs_atom12(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X16,X15,X14,X13,X20,X19,X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_84]) ).

fof(c_0_161,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( lhs_atom12(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X18,X17,X20,X19,X14,X13,X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_85]) ).

fof(c_0_162,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( lhs_atom12(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X19,X20,X18,X17,X16,X15,X14,X13) ),
    inference(variable_rename,[status(thm)],[c_0_86]) ).

fof(c_0_163,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( lhs_atom29(X17,X18,X20,X21)
      | ~ cyclic(X21,X20,X19,X18)
      | ~ cyclic(X21,X20,X19,X17)
      | ~ cyclic(X21,X20,X19,X16)
      | ~ eqangle(X19,X21,X19,X20,X16,X18,X16,X17) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])]) ).

fof(c_0_164,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( lhs_atom54(X17,X18,X19,X20)
      | ~ eqratio(X20,X19,X18,X17,X16,X15,X14,X13)
      | ~ cong(X16,X15,X14,X13) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])]) ).

fof(c_0_165,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( lhs_atom52(X17,X18,X19,X20)
      | ~ eqangle(X20,X19,X18,X17,X16,X15,X14,X13)
      | ~ perp(X16,X15,X14,X13) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])]) ).

fof(c_0_166,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( lhs_atom53(X17,X18,X19,X20)
      | ~ eqangle(X20,X19,X18,X17,X16,X15,X14,X13)
      | ~ para(X16,X15,X14,X13) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])]) ).

fof(c_0_167,plain,
    ! [X9,X10,X11,X12,X13] :
      ( lhs_atom37(X10,X11,X12)
      | ~ circle(X9,X13,X12,X11)
      | ~ coll(X10,X12,X11)
      | ~ eqangle(X13,X12,X13,X11,X9,X12,X9,X10) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])])])]) ).

fof(c_0_168,plain,
    ! [X5,X6,X7,X8] :
      ( lhs_atom53(X5,X6,X7,X8)
      | ~ eqangle(X8,X7,X6,X5,X6,X5,X8,X7)
      | perp(X8,X7,X6,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])]) ).

fof(c_0_169,plain,
    ! [X5,X6,X7,X8] :
      ( lhs_atom52(X5,X6,X7,X8)
      | ~ eqangle(X8,X7,X6,X5,X6,X5,X8,X7)
      | para(X8,X7,X6,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_93])]) ).

fof(c_0_170,plain,
    ! [X17,X18,X19,X20,X21] :
      ( lhs_atom35(X17,X18,X21)
      | ~ circle(X18,X21,X20,X19)
      | ~ eqangle(X21,X17,X21,X20,X19,X21,X19,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_94])]) ).

fof(c_0_171,plain,
    ! [X13,X14,X15,X16] :
      ( lhs_atom28(X13,X14,X15,X16)
      | ~ eqangle(X14,X16,X14,X15,X13,X16,X13,X15)
      | ~ coll(X14,X13,X15) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_95])]) ).

fof(c_0_172,plain,
    ! [X13,X14,X15,X16] :
      ( lhs_atom28(X13,X14,X15,X16)
      | ~ eqangle(X14,X16,X14,X15,X13,X16,X13,X15)
      | coll(X14,X13,X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_96])]) ).

fof(c_0_173,plain,
    ! [X9,X10,X11] :
      ( lhs_atom33(X9,X10,X11)
      | ~ eqangle(X9,X11,X11,X10,X11,X10,X9,X10)
      | coll(X9,X11,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_97])]) ).

fof(c_0_174,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( lhs_atom43(X16,X17,X18,X19,X20,X21)
      | eqangle(X21,X20,X20,X19,X18,X17,X17,X16) ),
    inference(variable_rename,[status(thm)],[c_0_98]) ).

fof(c_0_175,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( lhs_atom43(X16,X17,X18,X19,X20,X21)
      | eqratio(X21,X20,X21,X19,X18,X17,X18,X16) ),
    inference(variable_rename,[status(thm)],[c_0_99]) ).

fof(c_0_176,plain,
    ! [X13,X14,X15,X16] :
      ( lhs_atom27(X13,X14,X15,X16)
      | eqangle(X14,X16,X14,X15,X13,X16,X13,X15) ),
    inference(variable_rename,[status(thm)],[c_0_100]) ).

fof(c_0_177,plain,
    ! [X13,X14,X15,X16,X17,X18] :
      ( lhs_atom3(X15,X16,X17,X18)
      | eqangle(X18,X17,X14,X13,X16,X15,X14,X13) ),
    inference(variable_rename,[status(thm)],[c_0_101]) ).

fof(c_0_178,plain,
    ! [X9,X10,X11] :
      ( lhs_atom32(X9,X10,X11)
      | eqangle(X9,X11,X11,X10,X11,X10,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_102]) ).

fof(c_0_179,plain,
    ! [X16,X17,X18,X19,X20,X21,X22,X23,X24] :
      ( lhs_atom25(X16,X17,X18,X22,X23,X24)
      | ~ contri(X24,X23,X22,X21,X20,X19)
      | ~ contri(X21,X20,X19,X18,X17,X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_103])]) ).

fof(c_0_180,plain,
    ! [X16,X17,X18,X19,X20,X21,X22,X23,X24] :
      ( lhs_atom21(X16,X17,X18,X22,X23,X24)
      | ~ simtri(X24,X23,X22,X21,X20,X19)
      | ~ simtri(X21,X20,X19,X18,X17,X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_104])]) ).

fof(c_0_181,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( lhs_atom25(X16,X17,X18,X19,X20,X21)
      | ~ simtri(X21,X20,X19,X18,X17,X16)
      | ~ cong(X21,X20,X18,X17) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_105])]) ).

fof(c_0_182,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( lhs_atom24(X16,X17,X18,X19,X20,X21)
      | contri(X21,X20,X19,X18,X17,X16) ),
    inference(variable_rename,[status(thm)],[c_0_106]) ).

fof(c_0_183,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( lhs_atom23(X16,X17,X18,X19,X20,X21)
      | contri(X21,X20,X19,X18,X17,X16) ),
    inference(variable_rename,[status(thm)],[c_0_107]) ).

fof(c_0_184,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( lhs_atom22(X16,X17,X18,X19,X20,X21)
      | contri(X21,X20,X19,X18,X17,X16) ),
    inference(variable_rename,[status(thm)],[c_0_108]) ).

fof(c_0_185,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( lhs_atom20(X16,X17,X18,X19,X20,X21)
      | simtri(X21,X20,X19,X18,X17,X16) ),
    inference(variable_rename,[status(thm)],[c_0_109]) ).

fof(c_0_186,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( lhs_atom19(X16,X17,X18,X19,X20,X21)
      | simtri(X21,X20,X19,X18,X17,X16) ),
    inference(variable_rename,[status(thm)],[c_0_110]) ).

fof(c_0_187,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( lhs_atom18(X16,X17,X18,X19,X20,X21)
      | simtri(X21,X20,X19,X18,X17,X16) ),
    inference(variable_rename,[status(thm)],[c_0_111]) ).

fof(c_0_188,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( lhs_atom44(X16,X17,X18,X19,X20,X21)
      | cong(X21,X20,X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_112]) ).

fof(c_0_189,plain,
    ! [X13,X14,X15,X16,X17,X18] :
      ( lhs_atom26(X13,X14,X15,X16,X17,X18)
      | para(X18,X17,X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_113]) ).

fof(c_0_190,plain,
    ! [X18,X19,X20,X21,X22,X23] :
      ( lhs_atom51(X18,X19,X20,X21,X22,X23)
      | ~ midp(X19,X23,X22)
      | ~ midp(X18,X21,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_114])]) ).

fof(c_0_191,plain,
    ! [X9,X10,X11,X12,X13] :
      ( lhs_atom47(X9,X10,X11,X12,X13)
      | ~ para(X13,X12,X11,X10)
      | ~ coll(X9,X13,X11)
      | ~ coll(X9,X12,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_115])]) ).

fof(c_0_192,plain,
    ! [X9,X10,X11,X12,X13] :
      ( lhs_atom36(X9,X10,X11,X12,X13)
      | ~ circle(X9,X13,X12,X11)
      | ~ midp(X10,X12,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_116])]) ).

fof(c_0_193,plain,
    ! [X9,X10,X11,X12,X13] :
      ( lhs_atom9(X10,X11,X12,X13)
      | ~ cong(X9,X13,X9,X12)
      | ~ cong(X9,X13,X9,X11)
      | ~ cong(X9,X13,X9,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_117])]) ).

fof(c_0_194,plain,
    ! [X13,X14,X15,X16] :
      ( lhs_atom42(X13,X14,X16)
      | ~ cong(X16,X14,X15,X14)
      | ~ cong(X16,X13,X15,X13)
      | ~ cyclic(X16,X15,X14,X13) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_118])]) ).

fof(c_0_195,plain,
    ! [X13,X14,X15,X16] :
      ( lhs_atom41(X13,X14,X15,X16)
      | ~ cong(X16,X14,X15,X14)
      | ~ cong(X16,X13,X15,X13) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_119])]) ).

fof(c_0_196,plain,
    ! [X5,X6,X7,X8] :
      ( lhs_atom40(X5,X6,X7,X8)
      | ~ cyclic(X8,X7,X6,X5)
      | ~ para(X8,X7,X6,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_120])]) ).

fof(c_0_197,plain,
    ! [X17,X18,X19,X20,X21] :
      ( lhs_atom34(X17,X19,X20,X21)
      | ~ circle(X18,X21,X20,X19)
      | ~ perp(X18,X21,X21,X17) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_121])]) ).

fof(c_0_198,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( lhs_atom15(X7,X8,X11,X12)
      | ~ cong(X12,X11,X10,X9)
      | ~ cong(X10,X9,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_122])]) ).

fof(c_0_199,plain,
    ! [X7,X8,X9,X10,X11] :
      ( lhs_atom11(X7,X8,X9,X10)
      | ~ cyclic(X11,X10,X9,X8)
      | ~ cyclic(X11,X10,X9,X7) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_123])])])]) ).

fof(c_0_200,plain,
    ! [X9,X10,X11,X12] :
      ( lhs_atom8(X9,X10,X11,X12)
      | ~ cong(X9,X12,X9,X11)
      | ~ cong(X9,X12,X9,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_124])]) ).

fof(c_0_201,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( lhs_atom6(X7,X8,X11,X12)
      | ~ para(X12,X11,X10,X9)
      | ~ perp(X10,X9,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_125])]) ).

fof(c_0_202,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( lhs_atom4(X7,X8,X11,X12)
      | ~ perp(X12,X11,X10,X9)
      | ~ perp(X10,X9,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_126])]) ).

fof(c_0_203,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( lhs_atom4(X7,X8,X11,X12)
      | ~ para(X12,X11,X10,X9)
      | ~ para(X10,X9,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_127])]) ).

fof(c_0_204,plain,
    ! [X8,X9,X10,X11,X12] :
      ( lhs_atom46(X8,X9,X10)
      | ~ midp(X8,X12,X11)
      | ~ para(X12,X10,X11,X9)
      | ~ para(X12,X9,X11,X10) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_128])])])]) ).

fof(c_0_205,plain,
    ! [X7,X8,X9,X10,X11] :
      ( lhs_atom31(X7,X9,X11)
      | ~ midp(X8,X11,X10)
      | ~ para(X8,X7,X10,X9)
      | ~ coll(X7,X11,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_129])]) ).

fof(c_0_206,plain,
    ! [X4,X5,X6] :
      ( lhs_atom49(X4,X5,X6)
      | ~ cong(X6,X5,X6,X4)
      | ~ coll(X6,X5,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_130])]) ).

fof(c_0_207,plain,
    ! [X9,X10,X11,X12] :
      ( lhs_atom33(X9,X11,X12)
      | ~ midp(X10,X12,X11)
      | ~ perp(X9,X10,X12,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_131])]) ).

fof(c_0_208,plain,
    ! [X9,X10,X11,X12] :
      ( lhs_atom39(X10,X11,X12)
      | ~ circle(X9,X12,X11,X10)
      | ~ coll(X9,X12,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_132])]) ).

fof(c_0_209,plain,
    ! [X8,X9,X10,X11] :
      ( lhs_atom38(X8,X10,X11)
      | ~ perp(X11,X10,X10,X9)
      | ~ midp(X8,X11,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_133])]) ).

fof(c_0_210,plain,
    ! [X5,X6,X7,X8] :
      ( lhs_atom14(X5,X6,X7,X8)
      | cong(X6,X5,X8,X7) ),
    inference(variable_rename,[status(thm)],[c_0_134]) ).

fof(c_0_211,plain,
    ! [X5,X6,X7,X8] :
      ( lhs_atom14(X5,X6,X7,X8)
      | cong(X8,X7,X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_135]) ).

fof(c_0_212,plain,
    ! [X5,X6,X7,X8] :
      ( lhs_atom10(X5,X6,X7,X8)
      | cyclic(X7,X8,X6,X5) ),
    inference(variable_rename,[status(thm)],[c_0_136]) ).

fof(c_0_213,plain,
    ! [X5,X6,X7,X8] :
      ( lhs_atom10(X5,X6,X7,X8)
      | cyclic(X8,X6,X7,X5) ),
    inference(variable_rename,[status(thm)],[c_0_137]) ).

fof(c_0_214,plain,
    ! [X5,X6,X7,X8] :
      ( lhs_atom10(X5,X6,X7,X8)
      | cyclic(X8,X7,X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_138]) ).

fof(c_0_215,plain,
    ! [X5,X6,X7,X8] :
      ( lhs_atom5(X5,X6,X7,X8)
      | perp(X6,X5,X8,X7) ),
    inference(variable_rename,[status(thm)],[c_0_139]) ).

fof(c_0_216,plain,
    ! [X5,X6,X7,X8] :
      ( lhs_atom5(X5,X6,X7,X8)
      | perp(X8,X7,X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_140]) ).

fof(c_0_217,plain,
    ! [X5,X6,X7,X8] :
      ( lhs_atom3(X5,X6,X7,X8)
      | para(X6,X5,X8,X7) ),
    inference(variable_rename,[status(thm)],[c_0_141]) ).

fof(c_0_218,plain,
    ! [X5,X6,X7,X8] :
      ( lhs_atom3(X5,X6,X7,X8)
      | para(X8,X7,X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_142]) ).

fof(c_0_219,plain,
    ! [X8,X9,X10,X11,X12] :
      ( lhs_atom45(X9,X10,X11,X12)
      | ~ midp(X8,X12,X11)
      | ~ midp(X8,X10,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_143])]) ).

fof(c_0_220,plain,
    ! [X7,X8,X9,X10,X11] :
      ( lhs_atom30(X7,X8,X9,X10)
      | ~ midp(X8,X11,X10)
      | ~ midp(X7,X11,X9) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_144])])])]) ).

fof(c_0_221,plain,
    ! [X4,X5,X6] :
      ( lhs_atom50(X4,X5,X6)
      | cong(X6,X5,X6,X4) ),
    inference(variable_rename,[status(thm)],[c_0_145]) ).

fof(c_0_222,plain,
    ! [X5,X6,X7,X8] :
      ( lhs_atom2(X5,X6,X8)
      | ~ coll(X8,X7,X6)
      | ~ coll(X8,X7,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_146])]) ).

fof(c_0_223,plain,
    ! [X4,X5,X6] :
      ( lhs_atom50(X4,X5,X6)
      | coll(X6,X5,X4) ),
    inference(variable_rename,[status(thm)],[c_0_147]) ).

fof(c_0_224,plain,
    ! [X4,X5,X6] :
      ( lhs_atom48(X4,X5,X6)
      | coll(X6,X5,X4) ),
    inference(variable_rename,[status(thm)],[c_0_148]) ).

fof(c_0_225,plain,
    ! [X8,X9,X10] :
      ( lhs_atom7(X8,X9,X10)
      | midp(X8,X10,X9) ),
    inference(variable_rename,[status(thm)],[c_0_149]) ).

fof(c_0_226,plain,
    ! [X4,X5,X6] :
      ( lhs_atom1(X4,X5,X6)
      | coll(X5,X6,X4) ),
    inference(variable_rename,[status(thm)],[c_0_150]) ).

fof(c_0_227,plain,
    ! [X4,X5,X6] :
      ( lhs_atom1(X4,X5,X6)
      | coll(X6,X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_151]) ).

cnf(c_0_228,plain,
    ( lhs_atom17(X8,X7,X6,X5,X12,X11,X10,X9)
    | ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqratio(X9,X10,X11,X12,X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_152]) ).

cnf(c_0_229,plain,
    ( lhs_atom13(X8,X7,X6,X5,X12,X11,X10,X9)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_230,plain,
    ( coll(X1,X2,X3)
    | lhs_atom21(X5,X6,X4,X3,X2,X1)
    | ~ eqangle(X1,X3,X2,X3,X4,X5,X6,X5)
    | ~ eqangle(X1,X2,X2,X3,X4,X6,X6,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_154]) ).

cnf(c_0_231,plain,
    ( eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
    | lhs_atom16(X8,X7,X4,X3,X6,X5,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_155]) ).

cnf(c_0_232,plain,
    ( eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
    | lhs_atom16(X4,X3,X2,X1,X8,X7,X6,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_156]) ).

cnf(c_0_233,plain,
    ( eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
    | lhs_atom16(X6,X5,X8,X7,X2,X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_157]) ).

cnf(c_0_234,plain,
    ( eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
    | lhs_atom16(X8,X7,X6,X5,X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

cnf(c_0_235,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | lhs_atom12(X8,X7,X4,X3,X6,X5,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_159]) ).

cnf(c_0_236,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | lhs_atom12(X4,X3,X2,X1,X8,X7,X6,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_237,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | lhs_atom12(X6,X5,X8,X7,X2,X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_238,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | lhs_atom12(X8,X7,X6,X5,X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_162]) ).

cnf(c_0_239,plain,
    ( lhs_atom29(X6,X5,X3,X2)
    | ~ eqangle(X1,X2,X1,X3,X4,X5,X4,X6)
    | ~ cyclic(X2,X3,X1,X4)
    | ~ cyclic(X2,X3,X1,X6)
    | ~ cyclic(X2,X3,X1,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

cnf(c_0_240,plain,
    ( lhs_atom54(X8,X7,X6,X5)
    | ~ cong(X1,X2,X3,X4)
    | ~ eqratio(X5,X6,X7,X8,X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_164]) ).

cnf(c_0_241,plain,
    ( lhs_atom52(X8,X7,X6,X5)
    | ~ perp(X1,X2,X3,X4)
    | ~ eqangle(X5,X6,X7,X8,X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_165]) ).

cnf(c_0_242,plain,
    ( lhs_atom53(X8,X7,X6,X5)
    | ~ para(X1,X2,X3,X4)
    | ~ eqangle(X5,X6,X7,X8,X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_166]) ).

cnf(c_0_243,plain,
    ( lhs_atom37(X5,X3,X2)
    | ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X5)
    | ~ coll(X5,X2,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_244,plain,
    ( perp(X1,X2,X3,X4)
    | lhs_atom53(X4,X3,X2,X1)
    | ~ eqangle(X1,X2,X3,X4,X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_245,plain,
    ( para(X1,X2,X3,X4)
    | lhs_atom52(X4,X3,X2,X1)
    | ~ eqangle(X1,X2,X3,X4,X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_246,plain,
    ( lhs_atom35(X2,X5,X1)
    | ~ eqangle(X1,X2,X1,X3,X4,X1,X4,X3)
    | ~ circle(X5,X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_170]) ).

cnf(c_0_247,plain,
    ( lhs_atom28(X2,X1,X3,X4)
    | ~ coll(X1,X2,X3)
    | ~ eqangle(X1,X4,X1,X3,X2,X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_171]) ).

cnf(c_0_248,plain,
    ( coll(X1,X2,X3)
    | lhs_atom28(X2,X1,X4,X3)
    | ~ eqangle(X1,X3,X1,X4,X2,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_172]) ).

cnf(c_0_249,plain,
    ( coll(X1,X2,X3)
    | lhs_atom33(X1,X3,X2)
    | ~ eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_173]) ).

cnf(c_0_250,plain,
    ( eqangle(X1,X2,X2,X3,X4,X5,X5,X6)
    | lhs_atom43(X6,X5,X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_174]) ).

cnf(c_0_251,plain,
    ( eqratio(X1,X2,X1,X3,X4,X5,X4,X6)
    | lhs_atom43(X6,X5,X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_175]) ).

cnf(c_0_252,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | lhs_atom27(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_253,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | lhs_atom3(X6,X5,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_177]) ).

cnf(c_0_254,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | lhs_atom32(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_178]) ).

cnf(c_0_255,plain,
    ( lhs_atom25(X6,X5,X4,X9,X8,X7)
    | ~ contri(X1,X2,X3,X4,X5,X6)
    | ~ contri(X7,X8,X9,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_179]) ).

cnf(c_0_256,plain,
    ( lhs_atom21(X6,X5,X4,X9,X8,X7)
    | ~ simtri(X1,X2,X3,X4,X5,X6)
    | ~ simtri(X7,X8,X9,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_180]) ).

cnf(c_0_257,plain,
    ( lhs_atom25(X6,X4,X3,X5,X2,X1)
    | ~ cong(X1,X2,X3,X4)
    | ~ simtri(X1,X2,X5,X3,X4,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_181]) ).

cnf(c_0_258,plain,
    ( contri(X1,X2,X3,X4,X5,X6)
    | lhs_atom24(X6,X5,X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_182]) ).

cnf(c_0_259,plain,
    ( contri(X1,X2,X3,X4,X5,X6)
    | lhs_atom23(X6,X5,X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_183]) ).

cnf(c_0_260,plain,
    ( contri(X1,X2,X3,X4,X5,X6)
    | lhs_atom22(X6,X5,X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_184]) ).

cnf(c_0_261,plain,
    ( simtri(X1,X2,X3,X4,X5,X6)
    | lhs_atom20(X6,X5,X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_185]) ).

cnf(c_0_262,plain,
    ( simtri(X1,X2,X3,X4,X5,X6)
    | lhs_atom19(X6,X5,X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_186]) ).

cnf(c_0_263,plain,
    ( simtri(X1,X2,X3,X4,X5,X6)
    | lhs_atom18(X6,X5,X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_187]) ).

cnf(c_0_264,plain,
    ( cong(X1,X2,X3,X4)
    | lhs_atom44(X5,X4,X3,X6,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_188]) ).

cnf(c_0_265,plain,
    ( para(X1,X2,X3,X4)
    | lhs_atom26(X5,X6,X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_189]) ).

cnf(c_0_266,plain,
    ( lhs_atom51(X1,X4,X3,X2,X6,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_190]) ).

cnf(c_0_267,plain,
    ( lhs_atom47(X1,X3,X5,X2,X4)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X4,X5)
    | ~ para(X4,X2,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_191]) ).

cnf(c_0_268,plain,
    ( lhs_atom36(X4,X1,X3,X2,X5)
    | ~ midp(X1,X2,X3)
    | ~ circle(X4,X5,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_192]) ).

cnf(c_0_269,plain,
    ( lhs_atom9(X3,X4,X5,X2)
    | ~ cong(X1,X2,X1,X3)
    | ~ cong(X1,X2,X1,X4)
    | ~ cong(X1,X2,X1,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_193]) ).

cnf(c_0_270,plain,
    ( lhs_atom42(X4,X3,X1)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_194]) ).

cnf(c_0_271,plain,
    ( lhs_atom41(X2,X4,X3,X1)
    | ~ cong(X1,X2,X3,X2)
    | ~ cong(X1,X4,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_195]) ).

cnf(c_0_272,plain,
    ( lhs_atom40(X4,X3,X2,X1)
    | ~ para(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_196]) ).

cnf(c_0_273,plain,
    ( lhs_atom34(X3,X5,X4,X2)
    | ~ perp(X1,X2,X2,X3)
    | ~ circle(X1,X2,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_197]) ).

cnf(c_0_274,plain,
    ( lhs_atom15(X4,X3,X6,X5)
    | ~ cong(X1,X2,X3,X4)
    | ~ cong(X5,X6,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_198]) ).

cnf(c_0_275,plain,
    ( lhs_atom11(X4,X5,X3,X2)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_199]) ).

cnf(c_0_276,plain,
    ( lhs_atom8(X1,X3,X4,X2)
    | ~ cong(X1,X2,X1,X3)
    | ~ cong(X1,X2,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_200]) ).

cnf(c_0_277,plain,
    ( lhs_atom6(X4,X3,X6,X5)
    | ~ perp(X1,X2,X3,X4)
    | ~ para(X5,X6,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_201]) ).

cnf(c_0_278,plain,
    ( lhs_atom4(X4,X3,X6,X5)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_202]) ).

cnf(c_0_279,plain,
    ( lhs_atom4(X4,X3,X6,X5)
    | ~ para(X1,X2,X3,X4)
    | ~ para(X5,X6,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_203]) ).

cnf(c_0_280,plain,
    ( lhs_atom46(X5,X2,X4)
    | ~ para(X1,X2,X3,X4)
    | ~ para(X1,X4,X3,X2)
    | ~ midp(X5,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_204]) ).

cnf(c_0_281,plain,
    ( lhs_atom31(X1,X3,X2)
    | ~ coll(X1,X2,X3)
    | ~ para(X4,X1,X5,X3)
    | ~ midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_205]) ).

cnf(c_0_282,plain,
    ( lhs_atom49(X3,X2,X1)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_206]) ).

cnf(c_0_283,plain,
    ( lhs_atom33(X1,X4,X3)
    | ~ perp(X1,X2,X3,X4)
    | ~ midp(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_207]) ).

cnf(c_0_284,plain,
    ( lhs_atom39(X3,X4,X2)
    | ~ coll(X1,X2,X3)
    | ~ circle(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_208]) ).

cnf(c_0_285,plain,
    ( lhs_atom38(X1,X4,X2)
    | ~ midp(X1,X2,X3)
    | ~ perp(X2,X4,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_209]) ).

cnf(c_0_286,plain,
    ( cong(X1,X2,X3,X4)
    | lhs_atom14(X2,X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_210]) ).

cnf(c_0_287,plain,
    ( cong(X1,X2,X3,X4)
    | lhs_atom14(X3,X4,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_211]) ).

cnf(c_0_288,plain,
    ( cyclic(X1,X2,X3,X4)
    | lhs_atom10(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_212]) ).

cnf(c_0_289,plain,
    ( cyclic(X1,X2,X3,X4)
    | lhs_atom10(X4,X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_213]) ).

cnf(c_0_290,plain,
    ( cyclic(X1,X2,X3,X4)
    | lhs_atom10(X3,X4,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_214]) ).

cnf(c_0_291,plain,
    ( perp(X1,X2,X3,X4)
    | lhs_atom5(X2,X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_215]) ).

cnf(c_0_292,plain,
    ( perp(X1,X2,X3,X4)
    | lhs_atom5(X3,X4,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_216]) ).

cnf(c_0_293,plain,
    ( para(X1,X2,X3,X4)
    | lhs_atom3(X2,X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_217]) ).

cnf(c_0_294,plain,
    ( para(X1,X2,X3,X4)
    | lhs_atom3(X3,X4,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_218]) ).

cnf(c_0_295,plain,
    ( lhs_atom45(X3,X2,X5,X4)
    | ~ midp(X1,X2,X3)
    | ~ midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_219]) ).

cnf(c_0_296,plain,
    ( lhs_atom30(X1,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_220]) ).

cnf(c_0_297,plain,
    ( cong(X1,X2,X1,X3)
    | lhs_atom50(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_221]) ).

cnf(c_0_298,plain,
    ( lhs_atom2(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_222]) ).

cnf(c_0_299,plain,
    ( coll(X1,X2,X3)
    | lhs_atom50(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_223]) ).

cnf(c_0_300,plain,
    ( coll(X1,X2,X3)
    | lhs_atom48(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_224]) ).

cnf(c_0_301,plain,
    ( midp(X1,X2,X3)
    | lhs_atom7(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_225]) ).

cnf(c_0_302,plain,
    ( coll(X1,X2,X3)
    | lhs_atom1(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_226]) ).

cnf(c_0_303,plain,
    ( coll(X1,X2,X3)
    | lhs_atom1(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_227]) ).

cnf(c_0_304,plain,
    ( lhs_atom17(X8,X7,X6,X5,X12,X11,X10,X9)
    | ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqratio(X9,X10,X11,X12,X1,X2,X3,X4) ),
    c_0_228,
    [final] ).

cnf(c_0_305,plain,
    ( lhs_atom13(X8,X7,X6,X5,X12,X11,X10,X9)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
    c_0_229,
    [final] ).

cnf(c_0_306,plain,
    ( coll(X1,X2,X3)
    | lhs_atom21(X5,X6,X4,X3,X2,X1)
    | ~ eqangle(X1,X3,X2,X3,X4,X5,X6,X5)
    | ~ eqangle(X1,X2,X2,X3,X4,X6,X6,X5) ),
    c_0_230,
    [final] ).

cnf(c_0_307,plain,
    ( eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
    | lhs_atom16(X8,X7,X4,X3,X6,X5,X2,X1) ),
    c_0_231,
    [final] ).

cnf(c_0_308,plain,
    ( eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
    | lhs_atom16(X4,X3,X2,X1,X8,X7,X6,X5) ),
    c_0_232,
    [final] ).

cnf(c_0_309,plain,
    ( eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
    | lhs_atom16(X6,X5,X8,X7,X2,X1,X4,X3) ),
    c_0_233,
    [final] ).

cnf(c_0_310,plain,
    ( eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
    | lhs_atom16(X8,X7,X6,X5,X4,X3,X1,X2) ),
    c_0_234,
    [final] ).

cnf(c_0_311,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | lhs_atom12(X8,X7,X4,X3,X6,X5,X2,X1) ),
    c_0_235,
    [final] ).

cnf(c_0_312,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | lhs_atom12(X4,X3,X2,X1,X8,X7,X6,X5) ),
    c_0_236,
    [final] ).

cnf(c_0_313,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | lhs_atom12(X6,X5,X8,X7,X2,X1,X4,X3) ),
    c_0_237,
    [final] ).

cnf(c_0_314,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | lhs_atom12(X8,X7,X6,X5,X4,X3,X1,X2) ),
    c_0_238,
    [final] ).

cnf(c_0_315,plain,
    ( lhs_atom29(X6,X5,X3,X2)
    | ~ eqangle(X1,X2,X1,X3,X4,X5,X4,X6)
    | ~ cyclic(X2,X3,X1,X4)
    | ~ cyclic(X2,X3,X1,X6)
    | ~ cyclic(X2,X3,X1,X5) ),
    c_0_239,
    [final] ).

cnf(c_0_316,plain,
    ( lhs_atom54(X8,X7,X6,X5)
    | ~ cong(X1,X2,X3,X4)
    | ~ eqratio(X5,X6,X7,X8,X1,X2,X3,X4) ),
    c_0_240,
    [final] ).

cnf(c_0_317,plain,
    ( lhs_atom52(X8,X7,X6,X5)
    | ~ perp(X1,X2,X3,X4)
    | ~ eqangle(X5,X6,X7,X8,X1,X2,X3,X4) ),
    c_0_241,
    [final] ).

cnf(c_0_318,plain,
    ( lhs_atom53(X8,X7,X6,X5)
    | ~ para(X1,X2,X3,X4)
    | ~ eqangle(X5,X6,X7,X8,X1,X2,X3,X4) ),
    c_0_242,
    [final] ).

cnf(c_0_319,plain,
    ( lhs_atom37(X5,X3,X2)
    | ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X5)
    | ~ coll(X5,X2,X3)
    | ~ circle(X4,X1,X2,X3) ),
    c_0_243,
    [final] ).

cnf(c_0_320,plain,
    ( perp(X1,X2,X3,X4)
    | lhs_atom53(X4,X3,X2,X1)
    | ~ eqangle(X1,X2,X3,X4,X3,X4,X1,X2) ),
    c_0_244,
    [final] ).

cnf(c_0_321,plain,
    ( para(X1,X2,X3,X4)
    | lhs_atom52(X4,X3,X2,X1)
    | ~ eqangle(X1,X2,X3,X4,X3,X4,X1,X2) ),
    c_0_245,
    [final] ).

cnf(c_0_322,plain,
    ( lhs_atom35(X2,X5,X1)
    | ~ eqangle(X1,X2,X1,X3,X4,X1,X4,X3)
    | ~ circle(X5,X1,X3,X4) ),
    c_0_246,
    [final] ).

cnf(c_0_323,plain,
    ( lhs_atom28(X2,X1,X3,X4)
    | ~ coll(X1,X2,X3)
    | ~ eqangle(X1,X4,X1,X3,X2,X4,X2,X3) ),
    c_0_247,
    [final] ).

cnf(c_0_324,plain,
    ( coll(X1,X2,X3)
    | lhs_atom28(X2,X1,X4,X3)
    | ~ eqangle(X1,X3,X1,X4,X2,X3,X2,X4) ),
    c_0_248,
    [final] ).

cnf(c_0_325,plain,
    ( coll(X1,X2,X3)
    | lhs_atom33(X1,X3,X2)
    | ~ eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
    c_0_249,
    [final] ).

cnf(c_0_326,plain,
    ( eqangle(X1,X2,X2,X3,X4,X5,X5,X6)
    | lhs_atom43(X6,X5,X4,X3,X2,X1) ),
    c_0_250,
    [final] ).

cnf(c_0_327,plain,
    ( eqratio(X1,X2,X1,X3,X4,X5,X4,X6)
    | lhs_atom43(X6,X5,X4,X3,X2,X1) ),
    c_0_251,
    [final] ).

cnf(c_0_328,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | lhs_atom27(X4,X1,X3,X2) ),
    c_0_252,
    [final] ).

cnf(c_0_329,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | lhs_atom3(X6,X5,X2,X1) ),
    c_0_253,
    [final] ).

cnf(c_0_330,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | lhs_atom32(X1,X3,X2) ),
    c_0_254,
    [final] ).

cnf(c_0_331,plain,
    ( lhs_atom25(X6,X5,X4,X9,X8,X7)
    | ~ contri(X1,X2,X3,X4,X5,X6)
    | ~ contri(X7,X8,X9,X1,X2,X3) ),
    c_0_255,
    [final] ).

cnf(c_0_332,plain,
    ( lhs_atom21(X6,X5,X4,X9,X8,X7)
    | ~ simtri(X1,X2,X3,X4,X5,X6)
    | ~ simtri(X7,X8,X9,X1,X2,X3) ),
    c_0_256,
    [final] ).

cnf(c_0_333,plain,
    ( lhs_atom25(X6,X4,X3,X5,X2,X1)
    | ~ cong(X1,X2,X3,X4)
    | ~ simtri(X1,X2,X5,X3,X4,X6) ),
    c_0_257,
    [final] ).

cnf(c_0_334,plain,
    ( contri(X1,X2,X3,X4,X5,X6)
    | lhs_atom24(X6,X5,X4,X3,X2,X1) ),
    c_0_258,
    [final] ).

cnf(c_0_335,plain,
    ( contri(X1,X2,X3,X4,X5,X6)
    | lhs_atom23(X6,X5,X4,X3,X2,X1) ),
    c_0_259,
    [final] ).

cnf(c_0_336,plain,
    ( contri(X1,X2,X3,X4,X5,X6)
    | lhs_atom22(X6,X5,X4,X3,X2,X1) ),
    c_0_260,
    [final] ).

cnf(c_0_337,plain,
    ( simtri(X1,X2,X3,X4,X5,X6)
    | lhs_atom20(X6,X5,X4,X3,X2,X1) ),
    c_0_261,
    [final] ).

cnf(c_0_338,plain,
    ( simtri(X1,X2,X3,X4,X5,X6)
    | lhs_atom19(X6,X5,X4,X3,X2,X1) ),
    c_0_262,
    [final] ).

cnf(c_0_339,plain,
    ( simtri(X1,X2,X3,X4,X5,X6)
    | lhs_atom18(X6,X5,X4,X3,X2,X1) ),
    c_0_263,
    [final] ).

cnf(c_0_340,plain,
    ( cong(X1,X2,X3,X4)
    | lhs_atom44(X5,X4,X3,X6,X2,X1) ),
    c_0_264,
    [final] ).

cnf(c_0_341,plain,
    ( para(X1,X2,X3,X4)
    | lhs_atom26(X5,X6,X4,X3,X2,X1) ),
    c_0_265,
    [final] ).

cnf(c_0_342,plain,
    ( lhs_atom51(X1,X4,X3,X2,X6,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X5,X6) ),
    c_0_266,
    [final] ).

cnf(c_0_343,plain,
    ( lhs_atom47(X1,X3,X5,X2,X4)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X4,X5)
    | ~ para(X4,X2,X5,X3) ),
    c_0_267,
    [final] ).

cnf(c_0_344,plain,
    ( lhs_atom36(X4,X1,X3,X2,X5)
    | ~ midp(X1,X2,X3)
    | ~ circle(X4,X5,X2,X3) ),
    c_0_268,
    [final] ).

cnf(c_0_345,plain,
    ( lhs_atom9(X3,X4,X5,X2)
    | ~ cong(X1,X2,X1,X3)
    | ~ cong(X1,X2,X1,X4)
    | ~ cong(X1,X2,X1,X5) ),
    c_0_269,
    [final] ).

cnf(c_0_346,plain,
    ( lhs_atom42(X4,X3,X1)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    c_0_270,
    [final] ).

cnf(c_0_347,plain,
    ( lhs_atom41(X2,X4,X3,X1)
    | ~ cong(X1,X2,X3,X2)
    | ~ cong(X1,X4,X3,X4) ),
    c_0_271,
    [final] ).

cnf(c_0_348,plain,
    ( lhs_atom40(X4,X3,X2,X1)
    | ~ para(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    c_0_272,
    [final] ).

cnf(c_0_349,plain,
    ( lhs_atom34(X3,X5,X4,X2)
    | ~ perp(X1,X2,X2,X3)
    | ~ circle(X1,X2,X4,X5) ),
    c_0_273,
    [final] ).

cnf(c_0_350,plain,
    ( lhs_atom15(X4,X3,X6,X5)
    | ~ cong(X1,X2,X3,X4)
    | ~ cong(X5,X6,X1,X2) ),
    c_0_274,
    [final] ).

cnf(c_0_351,plain,
    ( lhs_atom11(X4,X5,X3,X2)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5) ),
    c_0_275,
    [final] ).

cnf(c_0_352,plain,
    ( lhs_atom8(X1,X3,X4,X2)
    | ~ cong(X1,X2,X1,X3)
    | ~ cong(X1,X2,X1,X4) ),
    c_0_276,
    [final] ).

cnf(c_0_353,plain,
    ( lhs_atom6(X4,X3,X6,X5)
    | ~ perp(X1,X2,X3,X4)
    | ~ para(X5,X6,X1,X2) ),
    c_0_277,
    [final] ).

cnf(c_0_354,plain,
    ( lhs_atom4(X4,X3,X6,X5)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X1,X2) ),
    c_0_278,
    [final] ).

cnf(c_0_355,plain,
    ( lhs_atom4(X4,X3,X6,X5)
    | ~ para(X1,X2,X3,X4)
    | ~ para(X5,X6,X1,X2) ),
    c_0_279,
    [final] ).

cnf(c_0_356,plain,
    ( lhs_atom46(X5,X2,X4)
    | ~ para(X1,X2,X3,X4)
    | ~ para(X1,X4,X3,X2)
    | ~ midp(X5,X1,X3) ),
    c_0_280,
    [final] ).

cnf(c_0_357,plain,
    ( lhs_atom31(X1,X3,X2)
    | ~ coll(X1,X2,X3)
    | ~ para(X4,X1,X5,X3)
    | ~ midp(X4,X2,X5) ),
    c_0_281,
    [final] ).

cnf(c_0_358,plain,
    ( lhs_atom49(X3,X2,X1)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    c_0_282,
    [final] ).

cnf(c_0_359,plain,
    ( lhs_atom33(X1,X4,X3)
    | ~ perp(X1,X2,X3,X4)
    | ~ midp(X2,X3,X4) ),
    c_0_283,
    [final] ).

cnf(c_0_360,plain,
    ( lhs_atom39(X3,X4,X2)
    | ~ coll(X1,X2,X3)
    | ~ circle(X1,X2,X4,X3) ),
    c_0_284,
    [final] ).

cnf(c_0_361,plain,
    ( lhs_atom38(X1,X4,X2)
    | ~ midp(X1,X2,X3)
    | ~ perp(X2,X4,X4,X3) ),
    c_0_285,
    [final] ).

cnf(c_0_362,plain,
    ( cong(X1,X2,X3,X4)
    | lhs_atom14(X2,X1,X4,X3) ),
    c_0_286,
    [final] ).

cnf(c_0_363,plain,
    ( cong(X1,X2,X3,X4)
    | lhs_atom14(X3,X4,X2,X1) ),
    c_0_287,
    [final] ).

cnf(c_0_364,plain,
    ( cyclic(X1,X2,X3,X4)
    | lhs_atom10(X4,X3,X1,X2) ),
    c_0_288,
    [final] ).

cnf(c_0_365,plain,
    ( cyclic(X1,X2,X3,X4)
    | lhs_atom10(X4,X2,X3,X1) ),
    c_0_289,
    [final] ).

cnf(c_0_366,plain,
    ( cyclic(X1,X2,X3,X4)
    | lhs_atom10(X3,X4,X2,X1) ),
    c_0_290,
    [final] ).

cnf(c_0_367,plain,
    ( perp(X1,X2,X3,X4)
    | lhs_atom5(X2,X1,X4,X3) ),
    c_0_291,
    [final] ).

cnf(c_0_368,plain,
    ( perp(X1,X2,X3,X4)
    | lhs_atom5(X3,X4,X2,X1) ),
    c_0_292,
    [final] ).

cnf(c_0_369,plain,
    ( para(X1,X2,X3,X4)
    | lhs_atom3(X2,X1,X4,X3) ),
    c_0_293,
    [final] ).

cnf(c_0_370,plain,
    ( para(X1,X2,X3,X4)
    | lhs_atom3(X3,X4,X2,X1) ),
    c_0_294,
    [final] ).

cnf(c_0_371,plain,
    ( lhs_atom45(X3,X2,X5,X4)
    | ~ midp(X1,X2,X3)
    | ~ midp(X1,X4,X5) ),
    c_0_295,
    [final] ).

cnf(c_0_372,plain,
    ( lhs_atom30(X1,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X2,X5) ),
    c_0_296,
    [final] ).

cnf(c_0_373,plain,
    ( cong(X1,X2,X1,X3)
    | lhs_atom50(X3,X2,X1) ),
    c_0_297,
    [final] ).

cnf(c_0_374,plain,
    ( lhs_atom2(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    c_0_298,
    [final] ).

cnf(c_0_375,plain,
    ( coll(X1,X2,X3)
    | lhs_atom50(X3,X2,X1) ),
    c_0_299,
    [final] ).

cnf(c_0_376,plain,
    ( coll(X1,X2,X3)
    | lhs_atom48(X3,X2,X1) ),
    c_0_300,
    [final] ).

cnf(c_0_377,plain,
    ( midp(X1,X2,X3)
    | lhs_atom7(X1,X3,X2) ),
    c_0_301,
    [final] ).

cnf(c_0_378,plain,
    ( coll(X1,X2,X3)
    | lhs_atom1(X3,X1,X2) ),
    c_0_302,
    [final] ).

cnf(c_0_379,plain,
    ( coll(X1,X2,X3)
    | lhs_atom1(X2,X3,X1) ),
    c_0_303,
    [final] ).

% End CNF derivation
cnf(c_0_304_0,axiom,
    ( eqratio(X9,X10,X11,X12,X5,X6,X7,X8)
    | ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqratio(X9,X10,X11,X12,X1,X2,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_304,def_lhs_atom17]) ).

cnf(c_0_305_0,axiom,
    ( eqangle(X9,X10,X11,X12,X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_305,def_lhs_atom13]) ).

cnf(c_0_306_0,axiom,
    ( simtri(X1,X2,X3,X4,X6,X5)
    | coll(X1,X2,X3)
    | ~ eqangle(X1,X3,X2,X3,X4,X5,X6,X5)
    | ~ eqangle(X1,X2,X2,X3,X4,X6,X6,X5) ),
    inference(unfold_definition,[status(thm)],[c_0_306,def_lhs_atom21]) ).

cnf(c_0_307_0,axiom,
    ( ~ eqratio(X1,X2,X5,X6,X3,X4,X7,X8)
    | eqratio(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(unfold_definition,[status(thm)],[c_0_307,def_lhs_atom16]) ).

cnf(c_0_308_0,axiom,
    ( ~ eqratio(X5,X6,X7,X8,X1,X2,X3,X4)
    | eqratio(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(unfold_definition,[status(thm)],[c_0_308,def_lhs_atom16]) ).

cnf(c_0_309_0,axiom,
    ( ~ eqratio(X3,X4,X1,X2,X7,X8,X5,X6)
    | eqratio(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(unfold_definition,[status(thm)],[c_0_309,def_lhs_atom16]) ).

cnf(c_0_310_0,axiom,
    ( ~ eqratio(X2,X1,X3,X4,X5,X6,X7,X8)
    | eqratio(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(unfold_definition,[status(thm)],[c_0_310,def_lhs_atom16]) ).

cnf(c_0_311_0,axiom,
    ( ~ eqangle(X1,X2,X5,X6,X3,X4,X7,X8)
    | eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(unfold_definition,[status(thm)],[c_0_311,def_lhs_atom12]) ).

cnf(c_0_312_0,axiom,
    ( ~ eqangle(X5,X6,X7,X8,X1,X2,X3,X4)
    | eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(unfold_definition,[status(thm)],[c_0_312,def_lhs_atom12]) ).

cnf(c_0_313_0,axiom,
    ( ~ eqangle(X3,X4,X1,X2,X7,X8,X5,X6)
    | eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(unfold_definition,[status(thm)],[c_0_313,def_lhs_atom12]) ).

cnf(c_0_314_0,axiom,
    ( ~ eqangle(X2,X1,X3,X4,X5,X6,X7,X8)
    | eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(unfold_definition,[status(thm)],[c_0_314,def_lhs_atom12]) ).

cnf(c_0_315_0,axiom,
    ( cong(X2,X3,X5,X6)
    | ~ eqangle(X1,X2,X1,X3,X4,X5,X4,X6)
    | ~ cyclic(X2,X3,X1,X4)
    | ~ cyclic(X2,X3,X1,X6)
    | ~ cyclic(X2,X3,X1,X5) ),
    inference(unfold_definition,[status(thm)],[c_0_315,def_lhs_atom29]) ).

cnf(c_0_316_0,axiom,
    ( cong(X5,X6,X7,X8)
    | ~ cong(X1,X2,X3,X4)
    | ~ eqratio(X5,X6,X7,X8,X1,X2,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_316,def_lhs_atom54]) ).

cnf(c_0_317_0,axiom,
    ( perp(X5,X6,X7,X8)
    | ~ perp(X1,X2,X3,X4)
    | ~ eqangle(X5,X6,X7,X8,X1,X2,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_317,def_lhs_atom52]) ).

cnf(c_0_318_0,axiom,
    ( para(X5,X6,X7,X8)
    | ~ para(X1,X2,X3,X4)
    | ~ eqangle(X5,X6,X7,X8,X1,X2,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_318,def_lhs_atom53]) ).

cnf(c_0_319_0,axiom,
    ( midp(X5,X2,X3)
    | ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X5)
    | ~ coll(X5,X2,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_319,def_lhs_atom37]) ).

cnf(c_0_320_0,axiom,
    ( para(X1,X2,X3,X4)
    | perp(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X3,X4,X3,X4,X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_320,def_lhs_atom53]) ).

cnf(c_0_321_0,axiom,
    ( perp(X1,X2,X3,X4)
    | para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X3,X4,X3,X4,X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_321,def_lhs_atom52]) ).

cnf(c_0_322_0,axiom,
    ( perp(X5,X1,X1,X2)
    | ~ eqangle(X1,X2,X1,X3,X4,X1,X4,X3)
    | ~ circle(X5,X1,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_322,def_lhs_atom35]) ).

cnf(c_0_323_0,axiom,
    ( cyclic(X4,X3,X1,X2)
    | ~ coll(X1,X2,X3)
    | ~ eqangle(X1,X4,X1,X3,X2,X4,X2,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_323,def_lhs_atom28]) ).

cnf(c_0_324_0,axiom,
    ( cyclic(X3,X4,X1,X2)
    | coll(X1,X2,X3)
    | ~ eqangle(X1,X3,X1,X4,X2,X3,X2,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_324,def_lhs_atom28]) ).

cnf(c_0_325_0,axiom,
    ( cong(X1,X2,X1,X3)
    | coll(X1,X2,X3)
    | ~ eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_325,def_lhs_atom33]) ).

cnf(c_0_326_0,axiom,
    ( ~ simtri(X1,X2,X3,X4,X5,X6)
    | eqangle(X1,X2,X2,X3,X4,X5,X5,X6) ),
    inference(unfold_definition,[status(thm)],[c_0_326,def_lhs_atom43]) ).

cnf(c_0_327_0,axiom,
    ( ~ simtri(X1,X2,X3,X4,X5,X6)
    | eqratio(X1,X2,X1,X3,X4,X5,X4,X6) ),
    inference(unfold_definition,[status(thm)],[c_0_327,def_lhs_atom43]) ).

cnf(c_0_328_0,axiom,
    ( ~ cyclic(X2,X3,X1,X4)
    | eqangle(X1,X2,X1,X3,X4,X2,X4,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_328,def_lhs_atom27]) ).

cnf(c_0_329_0,axiom,
    ( ~ para(X1,X2,X5,X6)
    | eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_329,def_lhs_atom3]) ).

cnf(c_0_330_0,axiom,
    ( ~ cong(X1,X2,X1,X3)
    | eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_330,def_lhs_atom32]) ).

cnf(c_0_331_0,axiom,
    ( contri(X7,X8,X9,X4,X5,X6)
    | ~ contri(X1,X2,X3,X4,X5,X6)
    | ~ contri(X7,X8,X9,X1,X2,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_331,def_lhs_atom25]) ).

cnf(c_0_332_0,axiom,
    ( simtri(X7,X8,X9,X4,X5,X6)
    | ~ simtri(X1,X2,X3,X4,X5,X6)
    | ~ simtri(X7,X8,X9,X1,X2,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_332,def_lhs_atom21]) ).

cnf(c_0_333_0,axiom,
    ( contri(X1,X2,X5,X3,X4,X6)
    | ~ cong(X1,X2,X3,X4)
    | ~ simtri(X1,X2,X5,X3,X4,X6) ),
    inference(unfold_definition,[status(thm)],[c_0_333,def_lhs_atom25]) ).

cnf(c_0_334_0,axiom,
    ( ~ contri(X4,X5,X6,X1,X2,X3)
    | contri(X1,X2,X3,X4,X5,X6) ),
    inference(unfold_definition,[status(thm)],[c_0_334,def_lhs_atom24]) ).

cnf(c_0_335_0,axiom,
    ( ~ contri(X2,X1,X3,X5,X4,X6)
    | contri(X1,X2,X3,X4,X5,X6) ),
    inference(unfold_definition,[status(thm)],[c_0_335,def_lhs_atom23]) ).

cnf(c_0_336_0,axiom,
    ( ~ contri(X1,X3,X2,X4,X6,X5)
    | contri(X1,X2,X3,X4,X5,X6) ),
    inference(unfold_definition,[status(thm)],[c_0_336,def_lhs_atom22]) ).

cnf(c_0_337_0,axiom,
    ( ~ simtri(X4,X5,X6,X1,X2,X3)
    | simtri(X1,X2,X3,X4,X5,X6) ),
    inference(unfold_definition,[status(thm)],[c_0_337,def_lhs_atom20]) ).

cnf(c_0_338_0,axiom,
    ( ~ simtri(X2,X1,X3,X5,X4,X6)
    | simtri(X1,X2,X3,X4,X5,X6) ),
    inference(unfold_definition,[status(thm)],[c_0_338,def_lhs_atom19]) ).

cnf(c_0_339_0,axiom,
    ( ~ simtri(X1,X3,X2,X4,X6,X5)
    | simtri(X1,X2,X3,X4,X5,X6) ),
    inference(unfold_definition,[status(thm)],[c_0_339,def_lhs_atom18]) ).

cnf(c_0_340_0,axiom,
    ( ~ contri(X1,X2,X6,X3,X4,X5)
    | cong(X1,X2,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_340,def_lhs_atom44]) ).

cnf(c_0_341_0,axiom,
    ( ~ eqangle(X1,X2,X6,X5,X3,X4,X6,X5)
    | para(X1,X2,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_341,def_lhs_atom26]) ).

cnf(c_0_342_0,axiom,
    ( eqratio(X4,X5,X5,X6,X1,X2,X2,X3)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X5,X6) ),
    inference(unfold_definition,[status(thm)],[c_0_342,def_lhs_atom51]) ).

cnf(c_0_343_0,axiom,
    ( eqratio(X1,X4,X4,X5,X1,X2,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X4,X5)
    | ~ para(X4,X2,X5,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_343,def_lhs_atom47]) ).

cnf(c_0_344_0,axiom,
    ( eqangle(X5,X2,X5,X3,X4,X2,X4,X1)
    | ~ midp(X1,X2,X3)
    | ~ circle(X4,X5,X2,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_344,def_lhs_atom36]) ).

cnf(c_0_345_0,axiom,
    ( cyclic(X2,X5,X4,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ cong(X1,X2,X1,X4)
    | ~ cong(X1,X2,X1,X5) ),
    inference(unfold_definition,[status(thm)],[c_0_345,def_lhs_atom9]) ).

cnf(c_0_346_0,axiom,
    ( perp(X3,X1,X1,X4)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_346,def_lhs_atom42]) ).

cnf(c_0_347_0,axiom,
    ( perp(X1,X3,X4,X2)
    | ~ cong(X1,X2,X3,X2)
    | ~ cong(X1,X4,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_347,def_lhs_atom41]) ).

cnf(c_0_348_0,axiom,
    ( eqangle(X1,X4,X3,X4,X3,X4,X3,X2)
    | ~ para(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_348,def_lhs_atom40]) ).

cnf(c_0_349_0,axiom,
    ( eqangle(X2,X3,X2,X4,X5,X2,X5,X4)
    | ~ perp(X1,X2,X2,X3)
    | ~ circle(X1,X2,X4,X5) ),
    inference(unfold_definition,[status(thm)],[c_0_349,def_lhs_atom34]) ).

cnf(c_0_350_0,axiom,
    ( cong(X5,X6,X3,X4)
    | ~ cong(X1,X2,X3,X4)
    | ~ cong(X5,X6,X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_350,def_lhs_atom15]) ).

cnf(c_0_351_0,axiom,
    ( cyclic(X2,X3,X5,X4)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(unfold_definition,[status(thm)],[c_0_351,def_lhs_atom11]) ).

cnf(c_0_352_0,axiom,
    ( circle(X1,X2,X4,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ cong(X1,X2,X1,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_352,def_lhs_atom8]) ).

cnf(c_0_353_0,axiom,
    ( perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X3,X4)
    | ~ para(X5,X6,X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_353,def_lhs_atom6]) ).

cnf(c_0_354_0,axiom,
    ( para(X5,X6,X3,X4)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_354,def_lhs_atom4]) ).

cnf(c_0_355_0,axiom,
    ( para(X5,X6,X3,X4)
    | ~ para(X1,X2,X3,X4)
    | ~ para(X5,X6,X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_355,def_lhs_atom4]) ).

cnf(c_0_356_0,axiom,
    ( midp(X5,X4,X2)
    | ~ para(X1,X2,X3,X4)
    | ~ para(X1,X4,X3,X2)
    | ~ midp(X5,X1,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_356,def_lhs_atom46]) ).

cnf(c_0_357_0,axiom,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ para(X4,X1,X5,X3)
    | ~ midp(X4,X2,X5) ),
    inference(unfold_definition,[status(thm)],[c_0_357,def_lhs_atom31]) ).

cnf(c_0_358_0,axiom,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_358,def_lhs_atom49]) ).

cnf(c_0_359_0,axiom,
    ( cong(X1,X3,X1,X4)
    | ~ perp(X1,X2,X3,X4)
    | ~ midp(X2,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_359,def_lhs_atom33]) ).

cnf(c_0_360_0,axiom,
    ( perp(X2,X4,X4,X3)
    | ~ coll(X1,X2,X3)
    | ~ circle(X1,X2,X4,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_360,def_lhs_atom39]) ).

cnf(c_0_361_0,axiom,
    ( cong(X2,X1,X4,X1)
    | ~ midp(X1,X2,X3)
    | ~ perp(X2,X4,X4,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_361,def_lhs_atom38]) ).

cnf(c_0_362_0,axiom,
    ( ~ cong(X3,X4,X1,X2)
    | cong(X1,X2,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_362,def_lhs_atom14]) ).

cnf(c_0_363_0,axiom,
    ( ~ cong(X1,X2,X4,X3)
    | cong(X1,X2,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_363,def_lhs_atom14]) ).

cnf(c_0_364_0,axiom,
    ( ~ cyclic(X2,X1,X3,X4)
    | cyclic(X1,X2,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_364,def_lhs_atom10]) ).

cnf(c_0_365_0,axiom,
    ( ~ cyclic(X1,X3,X2,X4)
    | cyclic(X1,X2,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_365,def_lhs_atom10]) ).

cnf(c_0_366_0,axiom,
    ( ~ cyclic(X1,X2,X4,X3)
    | cyclic(X1,X2,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_366,def_lhs_atom10]) ).

cnf(c_0_367_0,axiom,
    ( ~ perp(X3,X4,X1,X2)
    | perp(X1,X2,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_367,def_lhs_atom5]) ).

cnf(c_0_368_0,axiom,
    ( ~ perp(X1,X2,X4,X3)
    | perp(X1,X2,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_368,def_lhs_atom5]) ).

cnf(c_0_369_0,axiom,
    ( ~ para(X3,X4,X1,X2)
    | para(X1,X2,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_369,def_lhs_atom3]) ).

cnf(c_0_370_0,axiom,
    ( ~ para(X1,X2,X4,X3)
    | para(X1,X2,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_370,def_lhs_atom3]) ).

cnf(c_0_371_0,axiom,
    ( para(X4,X2,X5,X3)
    | ~ midp(X1,X2,X3)
    | ~ midp(X1,X4,X5) ),
    inference(unfold_definition,[status(thm)],[c_0_371,def_lhs_atom45]) ).

cnf(c_0_372_0,axiom,
    ( para(X4,X1,X5,X3)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X2,X5) ),
    inference(unfold_definition,[status(thm)],[c_0_372,def_lhs_atom30]) ).

cnf(c_0_373_0,axiom,
    ( ~ midp(X1,X2,X3)
    | cong(X1,X2,X1,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_373,def_lhs_atom50]) ).

cnf(c_0_374_0,axiom,
    ( coll(X4,X3,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_374,def_lhs_atom2]) ).

cnf(c_0_375_0,axiom,
    ( ~ midp(X1,X2,X3)
    | coll(X1,X2,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_375,def_lhs_atom50]) ).

cnf(c_0_376_0,axiom,
    ( ~ para(X1,X2,X1,X3)
    | coll(X1,X2,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_376,def_lhs_atom48]) ).

cnf(c_0_377_0,axiom,
    ( ~ midp(X1,X3,X2)
    | midp(X1,X2,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_377,def_lhs_atom7]) ).

cnf(c_0_378_0,axiom,
    ( ~ coll(X2,X1,X3)
    | coll(X1,X2,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_378,def_lhs_atom1]) ).

cnf(c_0_379_0,axiom,
    ( ~ coll(X1,X3,X2)
    | coll(X1,X2,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_379,def_lhs_atom1]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X1,X2,X5,X14,X15] :
    ? [X6] :
      ( ( eqangle(X1,X5,X2,X5,X1,X14,X2,X15)
        & ~ coll(X1,X2,X5) )
     => ( eqangle(X1,X5,X2,X5,X1,X6,X2,X6)
        & cyclic(X14,X2,X5,X6) ) ),
    file('<stdin>',ruleX5) ).

fof(c_0_1_002,axiom,
    ! [X1,X9,X8,X14] :
    ? [X2] :
      ( ( perp(X8,X9,X9,X1)
        & eqangle(X14,X8,X9,X8,X9,X8,X1,X8) )
     => ( coll(X2,X1,X9)
        & coll(X2,X8,X14) ) ),
    file('<stdin>',ruleX1) ).

fof(c_0_2_003,axiom,
    ! [X1,X2,X8,X14] :
    ? [X9] :
      ( ( cong(X8,X1,X8,X2)
        & eqangle(X1,X8,X8,X14,X8,X14,X8,X2) )
     => ( coll(X2,X1,X9)
        & coll(X9,X8,X14) ) ),
    file('<stdin>',ruleX2) ).

fof(c_0_3_004,axiom,
    ! [X1,X2,X8,X14] :
    ? [X9] :
      ( ( perp(X8,X14,X1,X2)
        & eqangle(X1,X8,X8,X14,X8,X14,X8,X2) )
     => ( coll(X2,X1,X9)
        & coll(X9,X8,X14) ) ),
    file('<stdin>',ruleX3) ).

fof(c_0_4_005,axiom,
    ! [X1,X2,X9,X5,X6,X7,X9] :
    ? [X14] :
      ( ( midp(X9,X1,X2)
        & para(X1,X5,X7,X9)
        & para(X1,X5,X2,X6)
        & coll(X5,X6,X7) )
     => ( coll(X14,X1,X6)
        & coll(X14,X9,X7) ) ),
    file('<stdin>',ruleX8) ).

fof(c_0_5_006,axiom,
    ! [X1,X2,X3,X4,X9,X12] :
    ? [X5,X6] :
      ( ( circle(X9,X1,X2,X3)
        & cong(X9,X1,X9,X4)
        & cong(X12,X1,X12,X2)
        & X9 != X12 )
     => ( coll(X5,X1,X3)
        & cong(X5,X12,X12,X1)
        & coll(X6,X2,X4)
        & cong(X6,X12,X12,X1) ) ),
    file('<stdin>',ruleX12) ).

fof(c_0_6_007,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
    ? [X7] :
      ( ( para(X1,X2,X3,X4)
        & coll(X5,X1,X3)
        & coll(X5,X2,X4)
        & coll(X6,X1,X2) )
     => ( coll(X5,X6,X7)
        & coll(X7,X3,X4) ) ),
    file('<stdin>',ruleX18) ).

fof(c_0_7_008,axiom,
    ! [X1,X2,X3,X4,X9,X12] :
    ? [X5] :
      ( ( midp(X9,X1,X2)
        & midp(X12,X3,X4) )
     => ( midp(X5,X1,X4)
        & para(X5,X9,X2,X4)
        & para(X5,X12,X1,X3) ) ),
    file('<stdin>',ruleX6) ).

fof(c_0_8_009,axiom,
    ! [X1,X2,X3,X4,X8] :
    ? [X5] :
      ( ( cong(X8,X3,X8,X4)
        & perp(X1,X2,X2,X8) )
     => ( cong(X8,X3,X8,X5)
        & para(X5,X3,X1,X2)
        & cong(X2,X3,X2,X5) ) ),
    file('<stdin>',ruleX9) ).

fof(c_0_9_010,axiom,
    ! [X1,X2,X3,X10,X11] :
    ? [X5] :
      ( ( perp(X1,X3,X3,X2)
        & coll(X2,X10,X11) )
     => ( coll(X5,X10,X11)
        & perp(X5,X1,X10,X11) ) ),
    file('<stdin>',ruleX15) ).

fof(c_0_10_011,axiom,
    ! [X1,X2,X8,X14] :
    ? [X9] :
      ( ( perp(X8,X14,X1,X2)
        & cong(X8,X1,X8,X2) )
     => ( coll(X2,X1,X9)
        & coll(X9,X8,X14) ) ),
    file('<stdin>',ruleX4) ).

fof(c_0_11_012,axiom,
    ! [X1,X2,X3,X4,X9] :
    ? [X8] :
      ( ( cyclic(X1,X2,X3,X4)
        & para(X1,X2,X3,X4)
        & midp(X9,X1,X2) )
     => circle(X8,X1,X2,X3) ),
    file('<stdin>',ruleX13) ).

fof(c_0_12_013,axiom,
    ! [X1,X2,X3,X13] :
    ? [X5,X6] :
      ( ( perp(X1,X13,X2,X3)
        & perp(X2,X13,X1,X3) )
     => ( coll(X5,X3,X2)
        & perp(X1,X5,X3,X2)
        & coll(X6,X3,X1)
        & perp(X2,X6,X3,X1) ) ),
    file('<stdin>',ruleX10) ).

fof(c_0_13_014,axiom,
    ! [X1,X2,X3,X4] :
    ? [X8] :
      ( ( perp(X1,X3,X3,X2)
        & cyclic(X1,X2,X3,X4) )
     => circle(X8,X1,X2,X3) ),
    file('<stdin>',ruleX14) ).

fof(c_0_14_015,axiom,
    ! [X1,X2,X8] :
    ? [X3] :
      ( ( cong(X8,X1,X8,X2)
        & perp(X1,X8,X8,X2) )
     => ( coll(X1,X8,X3)
        & cong(X8,X1,X8,X3) ) ),
    file('<stdin>',ruleX17) ).

fof(c_0_15_016,axiom,
    ! [X1,X2,X3,X8] :
    ? [X5] :
      ( circle(X8,X1,X2,X3)
     => perp(X5,X1,X1,X8) ),
    file('<stdin>',ruleX11) ).

fof(c_0_16_017,axiom,
    ! [X1,X2,X3,X4,X9] :
    ? [X5] :
      ( ( perp(X1,X2,X1,X3)
        & perp(X3,X1,X3,X4)
        & midp(X9,X2,X4) )
     => midp(X5,X1,X3) ),
    file('<stdin>',ruleX16) ).

fof(c_0_17_018,axiom,
    ! [X1,X2,X3,X4,X9,X12,X6] :
    ? [X5] :
      ( ( midp(X9,X1,X2)
        & midp(X12,X3,X4)
        & coll(X3,X1,X2)
        & coll(X4,X1,X2) )
     => midp(X5,X1,X6) ),
    file('<stdin>',ruleX7) ).

fof(c_0_18_019,plain,
    ! [X1,X2,X5,X14,X15] :
    ? [X6] :
      ( ( eqangle(X1,X5,X2,X5,X1,X14,X2,X15)
        & ~ coll(X1,X2,X5) )
     => ( eqangle(X1,X5,X2,X5,X1,X6,X2,X6)
        & cyclic(X14,X2,X5,X6) ) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_19_020,axiom,
    ! [X1,X9,X8,X14] :
    ? [X2] :
      ( ( perp(X8,X9,X9,X1)
        & eqangle(X14,X8,X9,X8,X9,X8,X1,X8) )
     => ( coll(X2,X1,X9)
        & coll(X2,X8,X14) ) ),
    c_0_1 ).

fof(c_0_20_021,axiom,
    ! [X1,X2,X8,X14] :
    ? [X9] :
      ( ( cong(X8,X1,X8,X2)
        & eqangle(X1,X8,X8,X14,X8,X14,X8,X2) )
     => ( coll(X2,X1,X9)
        & coll(X9,X8,X14) ) ),
    c_0_2 ).

fof(c_0_21_022,axiom,
    ! [X1,X2,X8,X14] :
    ? [X9] :
      ( ( perp(X8,X14,X1,X2)
        & eqangle(X1,X8,X8,X14,X8,X14,X8,X2) )
     => ( coll(X2,X1,X9)
        & coll(X9,X8,X14) ) ),
    c_0_3 ).

fof(c_0_22_023,axiom,
    ! [X1,X2,X9,X5,X6,X7,X9] :
    ? [X14] :
      ( ( midp(X9,X1,X2)
        & para(X1,X5,X7,X9)
        & para(X1,X5,X2,X6)
        & coll(X5,X6,X7) )
     => ( coll(X14,X1,X6)
        & coll(X14,X9,X7) ) ),
    c_0_4 ).

fof(c_0_23_024,axiom,
    ! [X1,X2,X3,X4,X9,X12] :
    ? [X5,X6] :
      ( ( circle(X9,X1,X2,X3)
        & cong(X9,X1,X9,X4)
        & cong(X12,X1,X12,X2)
        & X9 != X12 )
     => ( coll(X5,X1,X3)
        & cong(X5,X12,X12,X1)
        & coll(X6,X2,X4)
        & cong(X6,X12,X12,X1) ) ),
    c_0_5 ).

fof(c_0_24_025,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
    ? [X7] :
      ( ( para(X1,X2,X3,X4)
        & coll(X5,X1,X3)
        & coll(X5,X2,X4)
        & coll(X6,X1,X2) )
     => ( coll(X5,X6,X7)
        & coll(X7,X3,X4) ) ),
    c_0_6 ).

fof(c_0_25_026,axiom,
    ! [X1,X2,X3,X4,X9,X12] :
    ? [X5] :
      ( ( midp(X9,X1,X2)
        & midp(X12,X3,X4) )
     => ( midp(X5,X1,X4)
        & para(X5,X9,X2,X4)
        & para(X5,X12,X1,X3) ) ),
    c_0_7 ).

fof(c_0_26_027,axiom,
    ! [X1,X2,X3,X4,X8] :
    ? [X5] :
      ( ( cong(X8,X3,X8,X4)
        & perp(X1,X2,X2,X8) )
     => ( cong(X8,X3,X8,X5)
        & para(X5,X3,X1,X2)
        & cong(X2,X3,X2,X5) ) ),
    c_0_8 ).

fof(c_0_27_028,axiom,
    ! [X1,X2,X3,X10,X11] :
    ? [X5] :
      ( ( perp(X1,X3,X3,X2)
        & coll(X2,X10,X11) )
     => ( coll(X5,X10,X11)
        & perp(X5,X1,X10,X11) ) ),
    c_0_9 ).

fof(c_0_28_029,axiom,
    ! [X1,X2,X8,X14] :
    ? [X9] :
      ( ( perp(X8,X14,X1,X2)
        & cong(X8,X1,X8,X2) )
     => ( coll(X2,X1,X9)
        & coll(X9,X8,X14) ) ),
    c_0_10 ).

fof(c_0_29_030,axiom,
    ! [X1,X2,X3,X4,X9] :
    ? [X8] :
      ( ( cyclic(X1,X2,X3,X4)
        & para(X1,X2,X3,X4)
        & midp(X9,X1,X2) )
     => circle(X8,X1,X2,X3) ),
    c_0_11 ).

fof(c_0_30_031,axiom,
    ! [X1,X2,X3,X13] :
    ? [X5,X6] :
      ( ( perp(X1,X13,X2,X3)
        & perp(X2,X13,X1,X3) )
     => ( coll(X5,X3,X2)
        & perp(X1,X5,X3,X2)
        & coll(X6,X3,X1)
        & perp(X2,X6,X3,X1) ) ),
    c_0_12 ).

fof(c_0_31_032,axiom,
    ! [X1,X2,X3,X4] :
    ? [X8] :
      ( ( perp(X1,X3,X3,X2)
        & cyclic(X1,X2,X3,X4) )
     => circle(X8,X1,X2,X3) ),
    c_0_13 ).

fof(c_0_32_033,axiom,
    ! [X1,X2,X8] :
    ? [X3] :
      ( ( cong(X8,X1,X8,X2)
        & perp(X1,X8,X8,X2) )
     => ( coll(X1,X8,X3)
        & cong(X8,X1,X8,X3) ) ),
    c_0_14 ).

fof(c_0_33_034,axiom,
    ! [X1,X2,X3,X8] :
    ? [X5] :
      ( circle(X8,X1,X2,X3)
     => perp(X5,X1,X1,X8) ),
    c_0_15 ).

fof(c_0_34_035,axiom,
    ! [X1,X2,X3,X4,X9] :
    ? [X5] :
      ( ( perp(X1,X2,X1,X3)
        & perp(X3,X1,X3,X4)
        & midp(X9,X2,X4) )
     => midp(X5,X1,X3) ),
    c_0_16 ).

fof(c_0_35_036,axiom,
    ! [X1,X2,X3,X4,X9,X12,X6] :
    ? [X5] :
      ( ( midp(X9,X1,X2)
        & midp(X12,X3,X4)
        & coll(X3,X1,X2)
        & coll(X4,X1,X2) )
     => midp(X5,X1,X6) ),
    c_0_17 ).

fof(c_0_36_037,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ( eqangle(X16,X18,X17,X18,X16,esk16_4(X16,X17,X18,X19),X17,esk16_4(X16,X17,X18,X19))
        | ~ eqangle(X16,X18,X17,X18,X16,X19,X17,X20)
        | coll(X16,X17,X18) )
      & ( cyclic(X19,X17,X18,esk16_4(X16,X17,X18,X19))
        | ~ eqangle(X16,X18,X17,X18,X16,X19,X17,X20)
        | coll(X16,X17,X18) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])])]) ).

fof(c_0_37_038,plain,
    ! [X15,X16,X17,X18] :
      ( ( coll(esk20_4(X15,X16,X17,X18),X15,X16)
        | ~ perp(X17,X16,X16,X15)
        | ~ eqangle(X18,X17,X16,X17,X16,X17,X15,X17) )
      & ( coll(esk20_4(X15,X16,X17,X18),X17,X18)
        | ~ perp(X17,X16,X16,X15)
        | ~ eqangle(X18,X17,X16,X17,X16,X17,X15,X17) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])]) ).

fof(c_0_38_039,plain,
    ! [X15,X16,X17,X18] :
      ( ( coll(X16,X15,esk19_4(X15,X16,X17,X18))
        | ~ cong(X17,X15,X17,X16)
        | ~ eqangle(X15,X17,X17,X18,X17,X18,X17,X16) )
      & ( coll(esk19_4(X15,X16,X17,X18),X17,X18)
        | ~ cong(X17,X15,X17,X16)
        | ~ eqangle(X15,X17,X17,X18,X17,X18,X17,X16) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])]) ).

fof(c_0_39_040,plain,
    ! [X15,X16,X17,X18] :
      ( ( coll(X16,X15,esk18_4(X15,X16,X17,X18))
        | ~ perp(X17,X18,X15,X16)
        | ~ eqangle(X15,X17,X17,X18,X17,X18,X17,X16) )
      & ( coll(esk18_4(X15,X16,X17,X18),X17,X18)
        | ~ perp(X17,X18,X15,X16)
        | ~ eqangle(X15,X17,X17,X18,X17,X18,X17,X16) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])])]) ).

fof(c_0_40_041,plain,
    ! [X15,X16,X17,X18,X19,X20,X21] :
      ( ( coll(esk13_7(X15,X16,X17,X18,X19,X20,X21),X15,X19)
        | ~ midp(X21,X15,X16)
        | ~ para(X15,X18,X20,X21)
        | ~ para(X15,X18,X16,X19)
        | ~ coll(X18,X19,X20) )
      & ( coll(esk13_7(X15,X16,X17,X18,X19,X20,X21),X21,X20)
        | ~ midp(X21,X15,X16)
        | ~ para(X15,X18,X20,X21)
        | ~ para(X15,X18,X16,X19)
        | ~ coll(X18,X19,X20) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])])]) ).

fof(c_0_41_042,plain,
    ! [X13,X14,X15,X16,X17,X18] :
      ( ( coll(esk7_6(X13,X14,X15,X16,X17,X18),X13,X15)
        | ~ circle(X17,X13,X14,X15)
        | ~ cong(X17,X13,X17,X16)
        | ~ cong(X18,X13,X18,X14)
        | X17 = X18 )
      & ( cong(esk7_6(X13,X14,X15,X16,X17,X18),X18,X18,X13)
        | ~ circle(X17,X13,X14,X15)
        | ~ cong(X17,X13,X17,X16)
        | ~ cong(X18,X13,X18,X14)
        | X17 = X18 )
      & ( coll(esk8_6(X13,X14,X15,X16,X17,X18),X14,X16)
        | ~ circle(X17,X13,X14,X15)
        | ~ cong(X17,X13,X17,X16)
        | ~ cong(X18,X13,X18,X14)
        | X17 = X18 )
      & ( cong(esk8_6(X13,X14,X15,X16,X17,X18),X18,X18,X13)
        | ~ circle(X17,X13,X14,X15)
        | ~ cong(X17,X13,X17,X16)
        | ~ cong(X18,X13,X18,X14)
        | X17 = X18 ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])]) ).

fof(c_0_42_043,plain,
    ! [X8,X9,X10,X11,X12,X13] :
      ( ( coll(X12,X13,esk1_6(X8,X9,X10,X11,X12,X13))
        | ~ para(X8,X9,X10,X11)
        | ~ coll(X12,X8,X10)
        | ~ coll(X12,X9,X11)
        | ~ coll(X13,X8,X9) )
      & ( coll(esk1_6(X8,X9,X10,X11,X12,X13),X10,X11)
        | ~ para(X8,X9,X10,X11)
        | ~ coll(X12,X8,X10)
        | ~ coll(X12,X9,X11)
        | ~ coll(X13,X8,X9) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])])]) ).

fof(c_0_43_044,plain,
    ! [X13,X14,X15,X16,X17,X18] :
      ( ( midp(esk15_6(X13,X14,X15,X16,X17,X18),X13,X16)
        | ~ midp(X17,X13,X14)
        | ~ midp(X18,X15,X16) )
      & ( para(esk15_6(X13,X14,X15,X16,X17,X18),X17,X14,X16)
        | ~ midp(X17,X13,X14)
        | ~ midp(X18,X15,X16) )
      & ( para(esk15_6(X13,X14,X15,X16,X17,X18),X18,X13,X15)
        | ~ midp(X17,X13,X14)
        | ~ midp(X18,X15,X16) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])]) ).

fof(c_0_44_045,plain,
    ! [X9,X10,X11,X12,X13] :
      ( ( cong(X13,X11,X13,esk12_5(X9,X10,X11,X12,X13))
        | ~ cong(X13,X11,X13,X12)
        | ~ perp(X9,X10,X10,X13) )
      & ( para(esk12_5(X9,X10,X11,X12,X13),X11,X9,X10)
        | ~ cong(X13,X11,X13,X12)
        | ~ perp(X9,X10,X10,X13) )
      & ( cong(X10,X11,X10,esk12_5(X9,X10,X11,X12,X13))
        | ~ cong(X13,X11,X13,X12)
        | ~ perp(X9,X10,X10,X13) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])]) ).

fof(c_0_45_046,plain,
    ! [X12,X13,X14,X15,X16] :
      ( ( coll(esk4_5(X12,X13,X14,X15,X16),X15,X16)
        | ~ perp(X12,X14,X14,X13)
        | ~ coll(X13,X15,X16) )
      & ( perp(esk4_5(X12,X13,X14,X15,X16),X12,X15,X16)
        | ~ perp(X12,X14,X14,X13)
        | ~ coll(X13,X15,X16) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])]) ).

fof(c_0_46_047,plain,
    ! [X15,X16,X17,X18] :
      ( ( coll(X16,X15,esk17_4(X15,X16,X17,X18))
        | ~ perp(X17,X18,X15,X16)
        | ~ cong(X17,X15,X17,X16) )
      & ( coll(esk17_4(X15,X16,X17,X18),X17,X18)
        | ~ perp(X17,X18,X15,X16)
        | ~ cong(X17,X15,X17,X16) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])]) ).

fof(c_0_47_048,plain,
    ! [X10,X11,X12,X13,X14] :
      ( ~ cyclic(X10,X11,X12,X13)
      | ~ para(X10,X11,X12,X13)
      | ~ midp(X14,X10,X11)
      | circle(esk6_3(X10,X11,X12),X10,X11,X12) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])]) ).

fof(c_0_48_049,plain,
    ! [X14,X15,X16,X17] :
      ( ( coll(esk10_3(X14,X15,X16),X16,X15)
        | ~ perp(X14,X17,X15,X16)
        | ~ perp(X15,X17,X14,X16) )
      & ( perp(X14,esk10_3(X14,X15,X16),X16,X15)
        | ~ perp(X14,X17,X15,X16)
        | ~ perp(X15,X17,X14,X16) )
      & ( coll(esk11_3(X14,X15,X16),X16,X14)
        | ~ perp(X14,X17,X15,X16)
        | ~ perp(X15,X17,X14,X16) )
      & ( perp(X15,esk11_3(X14,X15,X16),X16,X14)
        | ~ perp(X14,X17,X15,X16)
        | ~ perp(X15,X17,X14,X16) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])])]) ).

fof(c_0_49_050,plain,
    ! [X9,X10,X11,X12] :
      ( ~ perp(X9,X11,X11,X10)
      | ~ cyclic(X9,X10,X11,X12)
      | circle(esk5_3(X9,X10,X11),X9,X10,X11) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])])]) ).

fof(c_0_50_051,plain,
    ! [X9,X10,X11] :
      ( ( coll(X9,X11,esk2_3(X9,X10,X11))
        | ~ cong(X11,X9,X11,X10)
        | ~ perp(X9,X11,X11,X10) )
      & ( cong(X11,X9,X11,esk2_3(X9,X10,X11))
        | ~ cong(X11,X9,X11,X10)
        | ~ perp(X9,X11,X11,X10) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])])]) ).

fof(c_0_51_052,plain,
    ! [X9,X10,X11,X12] :
      ( ~ circle(X12,X9,X10,X11)
      | perp(esk9_4(X9,X10,X11,X12),X9,X9,X12) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).

fof(c_0_52_053,plain,
    ! [X10,X11,X12,X13,X14] :
      ( ~ perp(X10,X11,X10,X12)
      | ~ perp(X12,X10,X12,X13)
      | ~ midp(X14,X11,X13)
      | midp(esk3_3(X10,X11,X12),X10,X12) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])])]) ).

fof(c_0_53_054,plain,
    ! [X13,X14,X15,X16,X17,X18,X19] :
      ( ~ midp(X15,X13,X14)
      | ~ midp(X18,X16,X17)
      | ~ coll(X16,X13,X14)
      | ~ coll(X17,X13,X14)
      | midp(esk14_2(X13,X19),X13,X19) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])])]) ).

cnf(c_0_54_055,plain,
    ( coll(X1,X2,X3)
    | eqangle(X1,X3,X2,X3,X1,esk16_4(X1,X2,X3,X4),X2,esk16_4(X1,X2,X3,X4))
    | ~ eqangle(X1,X3,X2,X3,X1,X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_55_056,plain,
    ( coll(esk20_4(X4,X3,X2,X1),X4,X3)
    | ~ eqangle(X1,X2,X3,X2,X3,X2,X4,X2)
    | ~ perp(X2,X3,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_56_057,plain,
    ( coll(esk20_4(X4,X3,X2,X1),X2,X1)
    | ~ eqangle(X1,X2,X3,X2,X3,X2,X4,X2)
    | ~ perp(X2,X3,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_57_058,plain,
    ( coll(X4,X1,esk19_4(X1,X4,X2,X3))
    | ~ eqangle(X1,X2,X2,X3,X2,X3,X2,X4)
    | ~ cong(X2,X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_58_059,plain,
    ( coll(esk19_4(X1,X4,X2,X3),X2,X3)
    | ~ eqangle(X1,X2,X2,X3,X2,X3,X2,X4)
    | ~ cong(X2,X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_59_060,plain,
    ( coll(X4,X1,esk18_4(X1,X4,X2,X3))
    | ~ eqangle(X1,X2,X2,X3,X2,X3,X2,X4)
    | ~ perp(X2,X3,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_60_061,plain,
    ( coll(esk18_4(X1,X4,X2,X3),X2,X3)
    | ~ eqangle(X1,X2,X2,X3,X2,X3,X2,X4)
    | ~ perp(X2,X3,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_61_062,plain,
    ( coll(X1,X2,X3)
    | cyclic(X4,X2,X3,esk16_4(X1,X2,X3,X4))
    | ~ eqangle(X1,X3,X2,X3,X1,X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_62_063,plain,
    ( coll(esk13_7(X4,X5,X7,X1,X2,X3,X6),X4,X2)
    | ~ coll(X1,X2,X3)
    | ~ para(X4,X1,X5,X2)
    | ~ para(X4,X1,X3,X6)
    | ~ midp(X6,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_63_064,plain,
    ( coll(esk13_7(X4,X5,X7,X1,X2,X3,X6),X6,X3)
    | ~ coll(X1,X2,X3)
    | ~ para(X4,X1,X5,X2)
    | ~ para(X4,X1,X3,X6)
    | ~ midp(X6,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_64_065,plain,
    ( X1 = X2
    | cong(esk7_6(X3,X4,X6,X5,X1,X2),X2,X2,X3)
    | ~ cong(X2,X3,X2,X4)
    | ~ cong(X1,X3,X1,X5)
    | ~ circle(X1,X3,X4,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_65_066,plain,
    ( X1 = X2
    | cong(esk8_6(X3,X4,X6,X5,X1,X2),X2,X2,X3)
    | ~ cong(X2,X3,X2,X4)
    | ~ cong(X1,X3,X1,X5)
    | ~ circle(X1,X3,X4,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_66_067,plain,
    ( X1 = X2
    | coll(esk7_6(X3,X4,X6,X5,X1,X2),X3,X6)
    | ~ cong(X2,X3,X2,X4)
    | ~ cong(X1,X3,X1,X5)
    | ~ circle(X1,X3,X4,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_67_068,plain,
    ( X1 = X2
    | coll(esk8_6(X3,X4,X6,X5,X1,X2),X4,X5)
    | ~ cong(X2,X3,X2,X4)
    | ~ cong(X1,X3,X1,X5)
    | ~ circle(X1,X3,X4,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_68_069,plain,
    ( coll(X4,X1,esk1_6(X2,X3,X6,X5,X4,X1))
    | ~ coll(X1,X2,X3)
    | ~ coll(X4,X3,X5)
    | ~ coll(X4,X2,X6)
    | ~ para(X2,X3,X6,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_69_070,plain,
    ( coll(esk1_6(X2,X3,X6,X5,X4,X1),X6,X5)
    | ~ coll(X1,X2,X3)
    | ~ coll(X4,X3,X5)
    | ~ coll(X4,X2,X6)
    | ~ para(X2,X3,X6,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_70_071,plain,
    ( para(esk15_6(X5,X6,X2,X3,X4,X1),X4,X6,X3)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_71_072,plain,
    ( para(esk15_6(X5,X6,X2,X3,X4,X1),X1,X5,X2)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_72_073,plain,
    ( midp(esk15_6(X5,X6,X2,X3,X4,X1),X5,X3)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_73_074,plain,
    ( cong(X3,X4,X3,esk12_5(X1,X2,X4,X5,X3))
    | ~ perp(X1,X2,X2,X3)
    | ~ cong(X3,X4,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_74_075,plain,
    ( para(esk12_5(X1,X2,X4,X5,X3),X4,X1,X2)
    | ~ perp(X1,X2,X2,X3)
    | ~ cong(X3,X4,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_75_076,plain,
    ( cong(X2,X4,X2,esk12_5(X1,X2,X4,X5,X3))
    | ~ perp(X1,X2,X2,X3)
    | ~ cong(X3,X4,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_76_077,plain,
    ( perp(esk4_5(X4,X1,X5,X2,X3),X4,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ perp(X4,X5,X5,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_77_078,plain,
    ( coll(esk4_5(X4,X1,X5,X2,X3),X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ perp(X4,X5,X5,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_78_079,plain,
    ( coll(X3,X2,esk17_4(X2,X3,X1,X4))
    | ~ cong(X1,X2,X1,X3)
    | ~ perp(X1,X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_79_080,plain,
    ( coll(esk17_4(X2,X3,X1,X4),X1,X4)
    | ~ cong(X1,X2,X1,X3)
    | ~ perp(X1,X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_80_081,plain,
    ( circle(esk6_3(X1,X2,X3),X1,X2,X3)
    | ~ midp(X4,X1,X2)
    | ~ para(X1,X2,X3,X5)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_81_082,plain,
    ( perp(X3,esk10_3(X3,X1,X4),X4,X1)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X2,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_82_083,plain,
    ( perp(X1,esk11_3(X3,X1,X4),X4,X3)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X2,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_83_084,plain,
    ( circle(esk5_3(X1,X2,X3),X1,X2,X3)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ perp(X1,X3,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_84_085,plain,
    ( cong(X2,X1,X2,esk2_3(X1,X3,X2))
    | ~ perp(X1,X2,X2,X3)
    | ~ cong(X2,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_85_086,plain,
    ( perp(esk9_4(X1,X2,X3,X4),X1,X1,X4)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_86_087,plain,
    ( midp(esk3_3(X1,X2,X3),X1,X3)
    | ~ midp(X4,X2,X5)
    | ~ perp(X3,X1,X3,X5)
    | ~ perp(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_87_088,plain,
    ( coll(esk10_3(X3,X1,X4),X4,X1)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X2,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_88_089,plain,
    ( coll(esk11_3(X3,X1,X4),X4,X3)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X2,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_89_090,plain,
    ( coll(X1,X2,esk2_3(X1,X3,X2))
    | ~ perp(X1,X2,X2,X3)
    | ~ cong(X2,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_90_091,plain,
    ( midp(esk14_2(X1,X2),X1,X2)
    | ~ coll(X3,X1,X4)
    | ~ coll(X5,X1,X4)
    | ~ midp(X6,X5,X3)
    | ~ midp(X7,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_91_092,plain,
    ( coll(X1,X2,X3)
    | eqangle(X1,X3,X2,X3,X1,esk16_4(X1,X2,X3,X4),X2,esk16_4(X1,X2,X3,X4))
    | ~ eqangle(X1,X3,X2,X3,X1,X4,X2,X5) ),
    c_0_54,
    [final] ).

cnf(c_0_92_093,plain,
    ( coll(esk20_4(X4,X3,X2,X1),X4,X3)
    | ~ eqangle(X1,X2,X3,X2,X3,X2,X4,X2)
    | ~ perp(X2,X3,X3,X4) ),
    c_0_55,
    [final] ).

cnf(c_0_93_094,plain,
    ( coll(esk20_4(X4,X3,X2,X1),X2,X1)
    | ~ eqangle(X1,X2,X3,X2,X3,X2,X4,X2)
    | ~ perp(X2,X3,X3,X4) ),
    c_0_56,
    [final] ).

cnf(c_0_94_095,plain,
    ( coll(X4,X1,esk19_4(X1,X4,X2,X3))
    | ~ eqangle(X1,X2,X2,X3,X2,X3,X2,X4)
    | ~ cong(X2,X1,X2,X4) ),
    c_0_57,
    [final] ).

cnf(c_0_95_096,plain,
    ( coll(esk19_4(X1,X4,X2,X3),X2,X3)
    | ~ eqangle(X1,X2,X2,X3,X2,X3,X2,X4)
    | ~ cong(X2,X1,X2,X4) ),
    c_0_58,
    [final] ).

cnf(c_0_96_097,plain,
    ( coll(X4,X1,esk18_4(X1,X4,X2,X3))
    | ~ eqangle(X1,X2,X2,X3,X2,X3,X2,X4)
    | ~ perp(X2,X3,X1,X4) ),
    c_0_59,
    [final] ).

cnf(c_0_97_098,plain,
    ( coll(esk18_4(X1,X4,X2,X3),X2,X3)
    | ~ eqangle(X1,X2,X2,X3,X2,X3,X2,X4)
    | ~ perp(X2,X3,X1,X4) ),
    c_0_60,
    [final] ).

cnf(c_0_98_099,plain,
    ( coll(X1,X2,X3)
    | cyclic(X4,X2,X3,esk16_4(X1,X2,X3,X4))
    | ~ eqangle(X1,X3,X2,X3,X1,X4,X2,X5) ),
    c_0_61,
    [final] ).

cnf(c_0_99_100,plain,
    ( coll(esk13_7(X4,X5,X7,X1,X2,X3,X6),X4,X2)
    | ~ coll(X1,X2,X3)
    | ~ para(X4,X1,X5,X2)
    | ~ para(X4,X1,X3,X6)
    | ~ midp(X6,X4,X5) ),
    c_0_62,
    [final] ).

cnf(c_0_100_101,plain,
    ( coll(esk13_7(X4,X5,X7,X1,X2,X3,X6),X6,X3)
    | ~ coll(X1,X2,X3)
    | ~ para(X4,X1,X5,X2)
    | ~ para(X4,X1,X3,X6)
    | ~ midp(X6,X4,X5) ),
    c_0_63,
    [final] ).

cnf(c_0_101_102,plain,
    ( X1 = X2
    | cong(esk7_6(X3,X4,X6,X5,X1,X2),X2,X2,X3)
    | ~ cong(X2,X3,X2,X4)
    | ~ cong(X1,X3,X1,X5)
    | ~ circle(X1,X3,X4,X6) ),
    c_0_64,
    [final] ).

cnf(c_0_102_103,plain,
    ( X1 = X2
    | cong(esk8_6(X3,X4,X6,X5,X1,X2),X2,X2,X3)
    | ~ cong(X2,X3,X2,X4)
    | ~ cong(X1,X3,X1,X5)
    | ~ circle(X1,X3,X4,X6) ),
    c_0_65,
    [final] ).

cnf(c_0_103_104,plain,
    ( X1 = X2
    | coll(esk7_6(X3,X4,X6,X5,X1,X2),X3,X6)
    | ~ cong(X2,X3,X2,X4)
    | ~ cong(X1,X3,X1,X5)
    | ~ circle(X1,X3,X4,X6) ),
    c_0_66,
    [final] ).

cnf(c_0_104_105,plain,
    ( X1 = X2
    | coll(esk8_6(X3,X4,X6,X5,X1,X2),X4,X5)
    | ~ cong(X2,X3,X2,X4)
    | ~ cong(X1,X3,X1,X5)
    | ~ circle(X1,X3,X4,X6) ),
    c_0_67,
    [final] ).

cnf(c_0_105_106,plain,
    ( coll(X4,X1,esk1_6(X2,X3,X6,X5,X4,X1))
    | ~ coll(X1,X2,X3)
    | ~ coll(X4,X3,X5)
    | ~ coll(X4,X2,X6)
    | ~ para(X2,X3,X6,X5) ),
    c_0_68,
    [final] ).

cnf(c_0_106_107,plain,
    ( coll(esk1_6(X2,X3,X6,X5,X4,X1),X6,X5)
    | ~ coll(X1,X2,X3)
    | ~ coll(X4,X3,X5)
    | ~ coll(X4,X2,X6)
    | ~ para(X2,X3,X6,X5) ),
    c_0_69,
    [final] ).

cnf(c_0_107_108,plain,
    ( para(esk15_6(X5,X6,X2,X3,X4,X1),X4,X6,X3)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X5,X6) ),
    c_0_70,
    [final] ).

cnf(c_0_108_109,plain,
    ( para(esk15_6(X5,X6,X2,X3,X4,X1),X1,X5,X2)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X5,X6) ),
    c_0_71,
    [final] ).

cnf(c_0_109_110,plain,
    ( midp(esk15_6(X5,X6,X2,X3,X4,X1),X5,X3)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X5,X6) ),
    c_0_72,
    [final] ).

cnf(c_0_110_111,plain,
    ( cong(X3,X4,X3,esk12_5(X1,X2,X4,X5,X3))
    | ~ perp(X1,X2,X2,X3)
    | ~ cong(X3,X4,X3,X5) ),
    c_0_73,
    [final] ).

cnf(c_0_111_112,plain,
    ( para(esk12_5(X1,X2,X4,X5,X3),X4,X1,X2)
    | ~ perp(X1,X2,X2,X3)
    | ~ cong(X3,X4,X3,X5) ),
    c_0_74,
    [final] ).

cnf(c_0_112_113,plain,
    ( cong(X2,X4,X2,esk12_5(X1,X2,X4,X5,X3))
    | ~ perp(X1,X2,X2,X3)
    | ~ cong(X3,X4,X3,X5) ),
    c_0_75,
    [final] ).

cnf(c_0_113_114,plain,
    ( perp(esk4_5(X4,X1,X5,X2,X3),X4,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ perp(X4,X5,X5,X1) ),
    c_0_76,
    [final] ).

cnf(c_0_114_115,plain,
    ( coll(esk4_5(X4,X1,X5,X2,X3),X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ perp(X4,X5,X5,X1) ),
    c_0_77,
    [final] ).

cnf(c_0_115_116,plain,
    ( coll(X3,X2,esk17_4(X2,X3,X1,X4))
    | ~ cong(X1,X2,X1,X3)
    | ~ perp(X1,X4,X2,X3) ),
    c_0_78,
    [final] ).

cnf(c_0_116_117,plain,
    ( coll(esk17_4(X2,X3,X1,X4),X1,X4)
    | ~ cong(X1,X2,X1,X3)
    | ~ perp(X1,X4,X2,X3) ),
    c_0_79,
    [final] ).

cnf(c_0_117_118,plain,
    ( circle(esk6_3(X1,X2,X3),X1,X2,X3)
    | ~ midp(X4,X1,X2)
    | ~ para(X1,X2,X3,X5)
    | ~ cyclic(X1,X2,X3,X5) ),
    c_0_80,
    [final] ).

cnf(c_0_118_119,plain,
    ( perp(X3,esk10_3(X3,X1,X4),X4,X1)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X2,X1,X4) ),
    c_0_81,
    [final] ).

cnf(c_0_119_120,plain,
    ( perp(X1,esk11_3(X3,X1,X4),X4,X3)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X2,X1,X4) ),
    c_0_82,
    [final] ).

cnf(c_0_120_121,plain,
    ( circle(esk5_3(X1,X2,X3),X1,X2,X3)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ perp(X1,X3,X3,X2) ),
    c_0_83,
    [final] ).

cnf(c_0_121_122,plain,
    ( cong(X2,X1,X2,esk2_3(X1,X3,X2))
    | ~ perp(X1,X2,X2,X3)
    | ~ cong(X2,X1,X2,X3) ),
    c_0_84,
    [final] ).

cnf(c_0_122_123,plain,
    ( perp(esk9_4(X1,X2,X3,X4),X1,X1,X4)
    | ~ circle(X4,X1,X2,X3) ),
    c_0_85,
    [final] ).

cnf(c_0_123_124,plain,
    ( midp(esk3_3(X1,X2,X3),X1,X3)
    | ~ midp(X4,X2,X5)
    | ~ perp(X3,X1,X3,X5)
    | ~ perp(X1,X2,X1,X3) ),
    c_0_86,
    [final] ).

cnf(c_0_124_125,plain,
    ( coll(esk10_3(X3,X1,X4),X4,X1)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X2,X1,X4) ),
    c_0_87,
    [final] ).

cnf(c_0_125_126,plain,
    ( coll(esk11_3(X3,X1,X4),X4,X3)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X2,X1,X4) ),
    c_0_88,
    [final] ).

cnf(c_0_126_127,plain,
    ( coll(X1,X2,esk2_3(X1,X3,X2))
    | ~ perp(X1,X2,X2,X3)
    | ~ cong(X2,X1,X2,X3) ),
    c_0_89,
    [final] ).

cnf(c_0_127_128,plain,
    ( midp(esk14_2(X1,X2),X1,X2)
    | ~ coll(X3,X1,X4)
    | ~ coll(X5,X1,X4)
    | ~ midp(X6,X5,X3)
    | ~ midp(X7,X1,X4) ),
    c_0_90,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_91_0,axiom,
    ( coll(X1,X2,X3)
    | eqangle(X1,X3,X2,X3,X1,sk2_esk16_4(X1,X2,X3,X4),X2,sk2_esk16_4(X1,X2,X3,X4))
    | ~ eqangle(X1,X3,X2,X3,X1,X4,X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_91]) ).

cnf(c_0_91_1,axiom,
    ( eqangle(X1,X3,X2,X3,X1,sk2_esk16_4(X1,X2,X3,X4),X2,sk2_esk16_4(X1,X2,X3,X4))
    | coll(X1,X2,X3)
    | ~ eqangle(X1,X3,X2,X3,X1,X4,X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_91]) ).

cnf(c_0_91_2,axiom,
    ( ~ eqangle(X1,X3,X2,X3,X1,X4,X2,X5)
    | eqangle(X1,X3,X2,X3,X1,sk2_esk16_4(X1,X2,X3,X4),X2,sk2_esk16_4(X1,X2,X3,X4))
    | coll(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_91]) ).

cnf(c_0_92_0,axiom,
    ( coll(sk2_esk20_4(X4,X3,X2,X1),X4,X3)
    | ~ eqangle(X1,X2,X3,X2,X3,X2,X4,X2)
    | ~ perp(X2,X3,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_92]) ).

cnf(c_0_92_1,axiom,
    ( ~ eqangle(X1,X2,X3,X2,X3,X2,X4,X2)
    | coll(sk2_esk20_4(X4,X3,X2,X1),X4,X3)
    | ~ perp(X2,X3,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_92]) ).

cnf(c_0_92_2,axiom,
    ( ~ perp(X2,X3,X3,X4)
    | ~ eqangle(X1,X2,X3,X2,X3,X2,X4,X2)
    | coll(sk2_esk20_4(X4,X3,X2,X1),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_92]) ).

cnf(c_0_93_0,axiom,
    ( coll(sk2_esk20_4(X4,X3,X2,X1),X2,X1)
    | ~ eqangle(X1,X2,X3,X2,X3,X2,X4,X2)
    | ~ perp(X2,X3,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_93]) ).

cnf(c_0_93_1,axiom,
    ( ~ eqangle(X1,X2,X3,X2,X3,X2,X4,X2)
    | coll(sk2_esk20_4(X4,X3,X2,X1),X2,X1)
    | ~ perp(X2,X3,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_93]) ).

cnf(c_0_93_2,axiom,
    ( ~ perp(X2,X3,X3,X4)
    | ~ eqangle(X1,X2,X3,X2,X3,X2,X4,X2)
    | coll(sk2_esk20_4(X4,X3,X2,X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_93]) ).

cnf(c_0_94_0,axiom,
    ( coll(X4,X1,sk2_esk19_4(X1,X4,X2,X3))
    | ~ eqangle(X1,X2,X2,X3,X2,X3,X2,X4)
    | ~ cong(X2,X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_94]) ).

cnf(c_0_94_1,axiom,
    ( ~ eqangle(X1,X2,X2,X3,X2,X3,X2,X4)
    | coll(X4,X1,sk2_esk19_4(X1,X4,X2,X3))
    | ~ cong(X2,X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_94]) ).

cnf(c_0_94_2,axiom,
    ( ~ cong(X2,X1,X2,X4)
    | ~ eqangle(X1,X2,X2,X3,X2,X3,X2,X4)
    | coll(X4,X1,sk2_esk19_4(X1,X4,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_94]) ).

cnf(c_0_95_0,axiom,
    ( coll(sk2_esk19_4(X1,X4,X2,X3),X2,X3)
    | ~ eqangle(X1,X2,X2,X3,X2,X3,X2,X4)
    | ~ cong(X2,X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_95]) ).

cnf(c_0_95_1,axiom,
    ( ~ eqangle(X1,X2,X2,X3,X2,X3,X2,X4)
    | coll(sk2_esk19_4(X1,X4,X2,X3),X2,X3)
    | ~ cong(X2,X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_95]) ).

cnf(c_0_95_2,axiom,
    ( ~ cong(X2,X1,X2,X4)
    | ~ eqangle(X1,X2,X2,X3,X2,X3,X2,X4)
    | coll(sk2_esk19_4(X1,X4,X2,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_95]) ).

cnf(c_0_96_0,axiom,
    ( coll(X4,X1,sk2_esk18_4(X1,X4,X2,X3))
    | ~ eqangle(X1,X2,X2,X3,X2,X3,X2,X4)
    | ~ perp(X2,X3,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_96]) ).

cnf(c_0_96_1,axiom,
    ( ~ eqangle(X1,X2,X2,X3,X2,X3,X2,X4)
    | coll(X4,X1,sk2_esk18_4(X1,X4,X2,X3))
    | ~ perp(X2,X3,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_96]) ).

cnf(c_0_96_2,axiom,
    ( ~ perp(X2,X3,X1,X4)
    | ~ eqangle(X1,X2,X2,X3,X2,X3,X2,X4)
    | coll(X4,X1,sk2_esk18_4(X1,X4,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_96]) ).

cnf(c_0_97_0,axiom,
    ( coll(sk2_esk18_4(X1,X4,X2,X3),X2,X3)
    | ~ eqangle(X1,X2,X2,X3,X2,X3,X2,X4)
    | ~ perp(X2,X3,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_97]) ).

cnf(c_0_97_1,axiom,
    ( ~ eqangle(X1,X2,X2,X3,X2,X3,X2,X4)
    | coll(sk2_esk18_4(X1,X4,X2,X3),X2,X3)
    | ~ perp(X2,X3,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_97]) ).

cnf(c_0_97_2,axiom,
    ( ~ perp(X2,X3,X1,X4)
    | ~ eqangle(X1,X2,X2,X3,X2,X3,X2,X4)
    | coll(sk2_esk18_4(X1,X4,X2,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_97]) ).

cnf(c_0_98_0,axiom,
    ( coll(X1,X2,X3)
    | cyclic(X4,X2,X3,sk2_esk16_4(X1,X2,X3,X4))
    | ~ eqangle(X1,X3,X2,X3,X1,X4,X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_98]) ).

cnf(c_0_98_1,axiom,
    ( cyclic(X4,X2,X3,sk2_esk16_4(X1,X2,X3,X4))
    | coll(X1,X2,X3)
    | ~ eqangle(X1,X3,X2,X3,X1,X4,X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_98]) ).

cnf(c_0_98_2,axiom,
    ( ~ eqangle(X1,X3,X2,X3,X1,X4,X2,X5)
    | cyclic(X4,X2,X3,sk2_esk16_4(X1,X2,X3,X4))
    | coll(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_98]) ).

cnf(c_0_99_0,axiom,
    ( coll(sk2_esk13_7(X4,X5,X7,X1,X2,X3,X6),X4,X2)
    | ~ coll(X1,X2,X3)
    | ~ para(X4,X1,X5,X2)
    | ~ para(X4,X1,X3,X6)
    | ~ midp(X6,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_99]) ).

cnf(c_0_99_1,axiom,
    ( ~ coll(X1,X2,X3)
    | coll(sk2_esk13_7(X4,X5,X7,X1,X2,X3,X6),X4,X2)
    | ~ para(X4,X1,X5,X2)
    | ~ para(X4,X1,X3,X6)
    | ~ midp(X6,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_99]) ).

cnf(c_0_99_2,axiom,
    ( ~ para(X4,X1,X5,X2)
    | ~ coll(X1,X2,X3)
    | coll(sk2_esk13_7(X4,X5,X7,X1,X2,X3,X6),X4,X2)
    | ~ para(X4,X1,X3,X6)
    | ~ midp(X6,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_99]) ).

cnf(c_0_99_3,axiom,
    ( ~ para(X4,X1,X3,X6)
    | ~ para(X4,X1,X5,X2)
    | ~ coll(X1,X2,X3)
    | coll(sk2_esk13_7(X4,X5,X7,X1,X2,X3,X6),X4,X2)
    | ~ midp(X6,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_99]) ).

cnf(c_0_99_4,axiom,
    ( ~ midp(X6,X4,X5)
    | ~ para(X4,X1,X3,X6)
    | ~ para(X4,X1,X5,X2)
    | ~ coll(X1,X2,X3)
    | coll(sk2_esk13_7(X4,X5,X7,X1,X2,X3,X6),X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_99]) ).

cnf(c_0_100_0,axiom,
    ( coll(sk2_esk13_7(X4,X5,X7,X1,X2,X3,X6),X6,X3)
    | ~ coll(X1,X2,X3)
    | ~ para(X4,X1,X5,X2)
    | ~ para(X4,X1,X3,X6)
    | ~ midp(X6,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_100]) ).

cnf(c_0_100_1,axiom,
    ( ~ coll(X1,X2,X3)
    | coll(sk2_esk13_7(X4,X5,X7,X1,X2,X3,X6),X6,X3)
    | ~ para(X4,X1,X5,X2)
    | ~ para(X4,X1,X3,X6)
    | ~ midp(X6,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_100]) ).

cnf(c_0_100_2,axiom,
    ( ~ para(X4,X1,X5,X2)
    | ~ coll(X1,X2,X3)
    | coll(sk2_esk13_7(X4,X5,X7,X1,X2,X3,X6),X6,X3)
    | ~ para(X4,X1,X3,X6)
    | ~ midp(X6,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_100]) ).

cnf(c_0_100_3,axiom,
    ( ~ para(X4,X1,X3,X6)
    | ~ para(X4,X1,X5,X2)
    | ~ coll(X1,X2,X3)
    | coll(sk2_esk13_7(X4,X5,X7,X1,X2,X3,X6),X6,X3)
    | ~ midp(X6,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_100]) ).

cnf(c_0_100_4,axiom,
    ( ~ midp(X6,X4,X5)
    | ~ para(X4,X1,X3,X6)
    | ~ para(X4,X1,X5,X2)
    | ~ coll(X1,X2,X3)
    | coll(sk2_esk13_7(X4,X5,X7,X1,X2,X3,X6),X6,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_100]) ).

cnf(c_0_101_0,axiom,
    ( X1 = X2
    | cong(sk2_esk7_6(X3,X4,X6,X5,X1,X2),X2,X2,X3)
    | ~ cong(X2,X3,X2,X4)
    | ~ cong(X1,X3,X1,X5)
    | ~ circle(X1,X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_101]) ).

cnf(c_0_101_1,axiom,
    ( cong(sk2_esk7_6(X3,X4,X6,X5,X1,X2),X2,X2,X3)
    | X1 = X2
    | ~ cong(X2,X3,X2,X4)
    | ~ cong(X1,X3,X1,X5)
    | ~ circle(X1,X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_101]) ).

cnf(c_0_101_2,axiom,
    ( ~ cong(X2,X3,X2,X4)
    | cong(sk2_esk7_6(X3,X4,X6,X5,X1,X2),X2,X2,X3)
    | X1 = X2
    | ~ cong(X1,X3,X1,X5)
    | ~ circle(X1,X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_101]) ).

cnf(c_0_101_3,axiom,
    ( ~ cong(X1,X3,X1,X5)
    | ~ cong(X2,X3,X2,X4)
    | cong(sk2_esk7_6(X3,X4,X6,X5,X1,X2),X2,X2,X3)
    | X1 = X2
    | ~ circle(X1,X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_101]) ).

cnf(c_0_101_4,axiom,
    ( ~ circle(X1,X3,X4,X6)
    | ~ cong(X1,X3,X1,X5)
    | ~ cong(X2,X3,X2,X4)
    | cong(sk2_esk7_6(X3,X4,X6,X5,X1,X2),X2,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_101]) ).

cnf(c_0_102_0,axiom,
    ( X1 = X2
    | cong(sk2_esk8_6(X3,X4,X6,X5,X1,X2),X2,X2,X3)
    | ~ cong(X2,X3,X2,X4)
    | ~ cong(X1,X3,X1,X5)
    | ~ circle(X1,X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_102]) ).

cnf(c_0_102_1,axiom,
    ( cong(sk2_esk8_6(X3,X4,X6,X5,X1,X2),X2,X2,X3)
    | X1 = X2
    | ~ cong(X2,X3,X2,X4)
    | ~ cong(X1,X3,X1,X5)
    | ~ circle(X1,X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_102]) ).

cnf(c_0_102_2,axiom,
    ( ~ cong(X2,X3,X2,X4)
    | cong(sk2_esk8_6(X3,X4,X6,X5,X1,X2),X2,X2,X3)
    | X1 = X2
    | ~ cong(X1,X3,X1,X5)
    | ~ circle(X1,X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_102]) ).

cnf(c_0_102_3,axiom,
    ( ~ cong(X1,X3,X1,X5)
    | ~ cong(X2,X3,X2,X4)
    | cong(sk2_esk8_6(X3,X4,X6,X5,X1,X2),X2,X2,X3)
    | X1 = X2
    | ~ circle(X1,X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_102]) ).

cnf(c_0_102_4,axiom,
    ( ~ circle(X1,X3,X4,X6)
    | ~ cong(X1,X3,X1,X5)
    | ~ cong(X2,X3,X2,X4)
    | cong(sk2_esk8_6(X3,X4,X6,X5,X1,X2),X2,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_102]) ).

cnf(c_0_103_0,axiom,
    ( X1 = X2
    | coll(sk2_esk7_6(X3,X4,X6,X5,X1,X2),X3,X6)
    | ~ cong(X2,X3,X2,X4)
    | ~ cong(X1,X3,X1,X5)
    | ~ circle(X1,X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_103]) ).

cnf(c_0_103_1,axiom,
    ( coll(sk2_esk7_6(X3,X4,X6,X5,X1,X2),X3,X6)
    | X1 = X2
    | ~ cong(X2,X3,X2,X4)
    | ~ cong(X1,X3,X1,X5)
    | ~ circle(X1,X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_103]) ).

cnf(c_0_103_2,axiom,
    ( ~ cong(X2,X3,X2,X4)
    | coll(sk2_esk7_6(X3,X4,X6,X5,X1,X2),X3,X6)
    | X1 = X2
    | ~ cong(X1,X3,X1,X5)
    | ~ circle(X1,X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_103]) ).

cnf(c_0_103_3,axiom,
    ( ~ cong(X1,X3,X1,X5)
    | ~ cong(X2,X3,X2,X4)
    | coll(sk2_esk7_6(X3,X4,X6,X5,X1,X2),X3,X6)
    | X1 = X2
    | ~ circle(X1,X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_103]) ).

cnf(c_0_103_4,axiom,
    ( ~ circle(X1,X3,X4,X6)
    | ~ cong(X1,X3,X1,X5)
    | ~ cong(X2,X3,X2,X4)
    | coll(sk2_esk7_6(X3,X4,X6,X5,X1,X2),X3,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_103]) ).

cnf(c_0_104_0,axiom,
    ( X1 = X2
    | coll(sk2_esk8_6(X3,X4,X6,X5,X1,X2),X4,X5)
    | ~ cong(X2,X3,X2,X4)
    | ~ cong(X1,X3,X1,X5)
    | ~ circle(X1,X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_104]) ).

cnf(c_0_104_1,axiom,
    ( coll(sk2_esk8_6(X3,X4,X6,X5,X1,X2),X4,X5)
    | X1 = X2
    | ~ cong(X2,X3,X2,X4)
    | ~ cong(X1,X3,X1,X5)
    | ~ circle(X1,X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_104]) ).

cnf(c_0_104_2,axiom,
    ( ~ cong(X2,X3,X2,X4)
    | coll(sk2_esk8_6(X3,X4,X6,X5,X1,X2),X4,X5)
    | X1 = X2
    | ~ cong(X1,X3,X1,X5)
    | ~ circle(X1,X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_104]) ).

cnf(c_0_104_3,axiom,
    ( ~ cong(X1,X3,X1,X5)
    | ~ cong(X2,X3,X2,X4)
    | coll(sk2_esk8_6(X3,X4,X6,X5,X1,X2),X4,X5)
    | X1 = X2
    | ~ circle(X1,X3,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_104]) ).

cnf(c_0_104_4,axiom,
    ( ~ circle(X1,X3,X4,X6)
    | ~ cong(X1,X3,X1,X5)
    | ~ cong(X2,X3,X2,X4)
    | coll(sk2_esk8_6(X3,X4,X6,X5,X1,X2),X4,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_104]) ).

cnf(c_0_105_0,axiom,
    ( coll(X4,X1,sk2_esk1_6(X2,X3,X6,X5,X4,X1))
    | ~ coll(X1,X2,X3)
    | ~ coll(X4,X3,X5)
    | ~ coll(X4,X2,X6)
    | ~ para(X2,X3,X6,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_105]) ).

cnf(c_0_105_1,axiom,
    ( ~ coll(X1,X2,X3)
    | coll(X4,X1,sk2_esk1_6(X2,X3,X6,X5,X4,X1))
    | ~ coll(X4,X3,X5)
    | ~ coll(X4,X2,X6)
    | ~ para(X2,X3,X6,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_105]) ).

cnf(c_0_105_2,axiom,
    ( ~ coll(X4,X3,X5)
    | ~ coll(X1,X2,X3)
    | coll(X4,X1,sk2_esk1_6(X2,X3,X6,X5,X4,X1))
    | ~ coll(X4,X2,X6)
    | ~ para(X2,X3,X6,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_105]) ).

cnf(c_0_105_3,axiom,
    ( ~ coll(X4,X2,X6)
    | ~ coll(X4,X3,X5)
    | ~ coll(X1,X2,X3)
    | coll(X4,X1,sk2_esk1_6(X2,X3,X6,X5,X4,X1))
    | ~ para(X2,X3,X6,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_105]) ).

cnf(c_0_105_4,axiom,
    ( ~ para(X2,X3,X6,X5)
    | ~ coll(X4,X2,X6)
    | ~ coll(X4,X3,X5)
    | ~ coll(X1,X2,X3)
    | coll(X4,X1,sk2_esk1_6(X2,X3,X6,X5,X4,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_105]) ).

cnf(c_0_106_0,axiom,
    ( coll(sk2_esk1_6(X2,X3,X6,X5,X4,X1),X6,X5)
    | ~ coll(X1,X2,X3)
    | ~ coll(X4,X3,X5)
    | ~ coll(X4,X2,X6)
    | ~ para(X2,X3,X6,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_106]) ).

cnf(c_0_106_1,axiom,
    ( ~ coll(X1,X2,X3)
    | coll(sk2_esk1_6(X2,X3,X6,X5,X4,X1),X6,X5)
    | ~ coll(X4,X3,X5)
    | ~ coll(X4,X2,X6)
    | ~ para(X2,X3,X6,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_106]) ).

cnf(c_0_106_2,axiom,
    ( ~ coll(X4,X3,X5)
    | ~ coll(X1,X2,X3)
    | coll(sk2_esk1_6(X2,X3,X6,X5,X4,X1),X6,X5)
    | ~ coll(X4,X2,X6)
    | ~ para(X2,X3,X6,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_106]) ).

cnf(c_0_106_3,axiom,
    ( ~ coll(X4,X2,X6)
    | ~ coll(X4,X3,X5)
    | ~ coll(X1,X2,X3)
    | coll(sk2_esk1_6(X2,X3,X6,X5,X4,X1),X6,X5)
    | ~ para(X2,X3,X6,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_106]) ).

cnf(c_0_106_4,axiom,
    ( ~ para(X2,X3,X6,X5)
    | ~ coll(X4,X2,X6)
    | ~ coll(X4,X3,X5)
    | ~ coll(X1,X2,X3)
    | coll(sk2_esk1_6(X2,X3,X6,X5,X4,X1),X6,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_106]) ).

cnf(c_0_107_0,axiom,
    ( para(sk2_esk15_6(X5,X6,X2,X3,X4,X1),X4,X6,X3)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_107]) ).

cnf(c_0_107_1,axiom,
    ( ~ midp(X1,X2,X3)
    | para(sk2_esk15_6(X5,X6,X2,X3,X4,X1),X4,X6,X3)
    | ~ midp(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_107]) ).

cnf(c_0_107_2,axiom,
    ( ~ midp(X4,X5,X6)
    | ~ midp(X1,X2,X3)
    | para(sk2_esk15_6(X5,X6,X2,X3,X4,X1),X4,X6,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_107]) ).

cnf(c_0_108_0,axiom,
    ( para(sk2_esk15_6(X5,X6,X2,X3,X4,X1),X1,X5,X2)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_108]) ).

cnf(c_0_108_1,axiom,
    ( ~ midp(X1,X2,X3)
    | para(sk2_esk15_6(X5,X6,X2,X3,X4,X1),X1,X5,X2)
    | ~ midp(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_108]) ).

cnf(c_0_108_2,axiom,
    ( ~ midp(X4,X5,X6)
    | ~ midp(X1,X2,X3)
    | para(sk2_esk15_6(X5,X6,X2,X3,X4,X1),X1,X5,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_108]) ).

cnf(c_0_109_0,axiom,
    ( midp(sk2_esk15_6(X5,X6,X2,X3,X4,X1),X5,X3)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_109]) ).

cnf(c_0_109_1,axiom,
    ( ~ midp(X1,X2,X3)
    | midp(sk2_esk15_6(X5,X6,X2,X3,X4,X1),X5,X3)
    | ~ midp(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_109]) ).

cnf(c_0_109_2,axiom,
    ( ~ midp(X4,X5,X6)
    | ~ midp(X1,X2,X3)
    | midp(sk2_esk15_6(X5,X6,X2,X3,X4,X1),X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_109]) ).

cnf(c_0_110_0,axiom,
    ( cong(X3,X4,X3,sk2_esk12_5(X1,X2,X4,X5,X3))
    | ~ perp(X1,X2,X2,X3)
    | ~ cong(X3,X4,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_110]) ).

cnf(c_0_110_1,axiom,
    ( ~ perp(X1,X2,X2,X3)
    | cong(X3,X4,X3,sk2_esk12_5(X1,X2,X4,X5,X3))
    | ~ cong(X3,X4,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_110]) ).

cnf(c_0_110_2,axiom,
    ( ~ cong(X3,X4,X3,X5)
    | ~ perp(X1,X2,X2,X3)
    | cong(X3,X4,X3,sk2_esk12_5(X1,X2,X4,X5,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_110]) ).

cnf(c_0_111_0,axiom,
    ( para(sk2_esk12_5(X1,X2,X4,X5,X3),X4,X1,X2)
    | ~ perp(X1,X2,X2,X3)
    | ~ cong(X3,X4,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_111]) ).

cnf(c_0_111_1,axiom,
    ( ~ perp(X1,X2,X2,X3)
    | para(sk2_esk12_5(X1,X2,X4,X5,X3),X4,X1,X2)
    | ~ cong(X3,X4,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_111]) ).

cnf(c_0_111_2,axiom,
    ( ~ cong(X3,X4,X3,X5)
    | ~ perp(X1,X2,X2,X3)
    | para(sk2_esk12_5(X1,X2,X4,X5,X3),X4,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_111]) ).

cnf(c_0_112_0,axiom,
    ( cong(X2,X4,X2,sk2_esk12_5(X1,X2,X4,X5,X3))
    | ~ perp(X1,X2,X2,X3)
    | ~ cong(X3,X4,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_112]) ).

cnf(c_0_112_1,axiom,
    ( ~ perp(X1,X2,X2,X3)
    | cong(X2,X4,X2,sk2_esk12_5(X1,X2,X4,X5,X3))
    | ~ cong(X3,X4,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_112]) ).

cnf(c_0_112_2,axiom,
    ( ~ cong(X3,X4,X3,X5)
    | ~ perp(X1,X2,X2,X3)
    | cong(X2,X4,X2,sk2_esk12_5(X1,X2,X4,X5,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_112]) ).

cnf(c_0_113_0,axiom,
    ( perp(sk2_esk4_5(X4,X1,X5,X2,X3),X4,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ perp(X4,X5,X5,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_113]) ).

cnf(c_0_113_1,axiom,
    ( ~ coll(X1,X2,X3)
    | perp(sk2_esk4_5(X4,X1,X5,X2,X3),X4,X2,X3)
    | ~ perp(X4,X5,X5,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_113]) ).

cnf(c_0_113_2,axiom,
    ( ~ perp(X4,X5,X5,X1)
    | ~ coll(X1,X2,X3)
    | perp(sk2_esk4_5(X4,X1,X5,X2,X3),X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_113]) ).

cnf(c_0_114_0,axiom,
    ( coll(sk2_esk4_5(X4,X1,X5,X2,X3),X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ perp(X4,X5,X5,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_114]) ).

cnf(c_0_114_1,axiom,
    ( ~ coll(X1,X2,X3)
    | coll(sk2_esk4_5(X4,X1,X5,X2,X3),X2,X3)
    | ~ perp(X4,X5,X5,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_114]) ).

cnf(c_0_114_2,axiom,
    ( ~ perp(X4,X5,X5,X1)
    | ~ coll(X1,X2,X3)
    | coll(sk2_esk4_5(X4,X1,X5,X2,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_114]) ).

cnf(c_0_115_0,axiom,
    ( coll(X3,X2,sk2_esk17_4(X2,X3,X1,X4))
    | ~ cong(X1,X2,X1,X3)
    | ~ perp(X1,X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_115]) ).

cnf(c_0_115_1,axiom,
    ( ~ cong(X1,X2,X1,X3)
    | coll(X3,X2,sk2_esk17_4(X2,X3,X1,X4))
    | ~ perp(X1,X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_115]) ).

cnf(c_0_115_2,axiom,
    ( ~ perp(X1,X4,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | coll(X3,X2,sk2_esk17_4(X2,X3,X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_115]) ).

cnf(c_0_116_0,axiom,
    ( coll(sk2_esk17_4(X2,X3,X1,X4),X1,X4)
    | ~ cong(X1,X2,X1,X3)
    | ~ perp(X1,X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_116]) ).

cnf(c_0_116_1,axiom,
    ( ~ cong(X1,X2,X1,X3)
    | coll(sk2_esk17_4(X2,X3,X1,X4),X1,X4)
    | ~ perp(X1,X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_116]) ).

cnf(c_0_116_2,axiom,
    ( ~ perp(X1,X4,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | coll(sk2_esk17_4(X2,X3,X1,X4),X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_116]) ).

cnf(c_0_117_0,axiom,
    ( circle(sk2_esk6_3(X1,X2,X3),X1,X2,X3)
    | ~ midp(X4,X1,X2)
    | ~ para(X1,X2,X3,X5)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_117]) ).

cnf(c_0_117_1,axiom,
    ( ~ midp(X4,X1,X2)
    | circle(sk2_esk6_3(X1,X2,X3),X1,X2,X3)
    | ~ para(X1,X2,X3,X5)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_117]) ).

cnf(c_0_117_2,axiom,
    ( ~ para(X1,X2,X3,X5)
    | ~ midp(X4,X1,X2)
    | circle(sk2_esk6_3(X1,X2,X3),X1,X2,X3)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_117]) ).

cnf(c_0_117_3,axiom,
    ( ~ cyclic(X1,X2,X3,X5)
    | ~ para(X1,X2,X3,X5)
    | ~ midp(X4,X1,X2)
    | circle(sk2_esk6_3(X1,X2,X3),X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_117]) ).

cnf(c_0_118_0,axiom,
    ( perp(X3,sk2_esk10_3(X3,X1,X4),X4,X1)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X2,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_118]) ).

cnf(c_0_118_1,axiom,
    ( ~ perp(X1,X2,X3,X4)
    | perp(X3,sk2_esk10_3(X3,X1,X4),X4,X1)
    | ~ perp(X3,X2,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_118]) ).

cnf(c_0_118_2,axiom,
    ( ~ perp(X3,X2,X1,X4)
    | ~ perp(X1,X2,X3,X4)
    | perp(X3,sk2_esk10_3(X3,X1,X4),X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_118]) ).

cnf(c_0_119_0,axiom,
    ( perp(X1,sk2_esk11_3(X3,X1,X4),X4,X3)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X2,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_119]) ).

cnf(c_0_119_1,axiom,
    ( ~ perp(X1,X2,X3,X4)
    | perp(X1,sk2_esk11_3(X3,X1,X4),X4,X3)
    | ~ perp(X3,X2,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_119]) ).

cnf(c_0_119_2,axiom,
    ( ~ perp(X3,X2,X1,X4)
    | ~ perp(X1,X2,X3,X4)
    | perp(X1,sk2_esk11_3(X3,X1,X4),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_119]) ).

cnf(c_0_120_0,axiom,
    ( circle(sk2_esk5_3(X1,X2,X3),X1,X2,X3)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ perp(X1,X3,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_120]) ).

cnf(c_0_120_1,axiom,
    ( ~ cyclic(X1,X2,X3,X4)
    | circle(sk2_esk5_3(X1,X2,X3),X1,X2,X3)
    | ~ perp(X1,X3,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_120]) ).

cnf(c_0_120_2,axiom,
    ( ~ perp(X1,X3,X3,X2)
    | ~ cyclic(X1,X2,X3,X4)
    | circle(sk2_esk5_3(X1,X2,X3),X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_120]) ).

cnf(c_0_121_0,axiom,
    ( cong(X2,X1,X2,sk2_esk2_3(X1,X3,X2))
    | ~ perp(X1,X2,X2,X3)
    | ~ cong(X2,X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_121]) ).

cnf(c_0_121_1,axiom,
    ( ~ perp(X1,X2,X2,X3)
    | cong(X2,X1,X2,sk2_esk2_3(X1,X3,X2))
    | ~ cong(X2,X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_121]) ).

cnf(c_0_121_2,axiom,
    ( ~ cong(X2,X1,X2,X3)
    | ~ perp(X1,X2,X2,X3)
    | cong(X2,X1,X2,sk2_esk2_3(X1,X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_121]) ).

cnf(c_0_122_0,axiom,
    ( perp(sk2_esk9_4(X1,X2,X3,X4),X1,X1,X4)
    | ~ circle(X4,X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_122]) ).

cnf(c_0_122_1,axiom,
    ( ~ circle(X4,X1,X2,X3)
    | perp(sk2_esk9_4(X1,X2,X3,X4),X1,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_122]) ).

cnf(c_0_123_0,axiom,
    ( midp(sk2_esk3_3(X1,X2,X3),X1,X3)
    | ~ midp(X4,X2,X5)
    | ~ perp(X3,X1,X3,X5)
    | ~ perp(X1,X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_123]) ).

cnf(c_0_123_1,axiom,
    ( ~ midp(X4,X2,X5)
    | midp(sk2_esk3_3(X1,X2,X3),X1,X3)
    | ~ perp(X3,X1,X3,X5)
    | ~ perp(X1,X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_123]) ).

cnf(c_0_123_2,axiom,
    ( ~ perp(X3,X1,X3,X5)
    | ~ midp(X4,X2,X5)
    | midp(sk2_esk3_3(X1,X2,X3),X1,X3)
    | ~ perp(X1,X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_123]) ).

cnf(c_0_123_3,axiom,
    ( ~ perp(X1,X2,X1,X3)
    | ~ perp(X3,X1,X3,X5)
    | ~ midp(X4,X2,X5)
    | midp(sk2_esk3_3(X1,X2,X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_123]) ).

cnf(c_0_124_0,axiom,
    ( coll(sk2_esk10_3(X3,X1,X4),X4,X1)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X2,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_124]) ).

cnf(c_0_124_1,axiom,
    ( ~ perp(X1,X2,X3,X4)
    | coll(sk2_esk10_3(X3,X1,X4),X4,X1)
    | ~ perp(X3,X2,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_124]) ).

cnf(c_0_124_2,axiom,
    ( ~ perp(X3,X2,X1,X4)
    | ~ perp(X1,X2,X3,X4)
    | coll(sk2_esk10_3(X3,X1,X4),X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_124]) ).

cnf(c_0_125_0,axiom,
    ( coll(sk2_esk11_3(X3,X1,X4),X4,X3)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X2,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_125]) ).

cnf(c_0_125_1,axiom,
    ( ~ perp(X1,X2,X3,X4)
    | coll(sk2_esk11_3(X3,X1,X4),X4,X3)
    | ~ perp(X3,X2,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_125]) ).

cnf(c_0_125_2,axiom,
    ( ~ perp(X3,X2,X1,X4)
    | ~ perp(X1,X2,X3,X4)
    | coll(sk2_esk11_3(X3,X1,X4),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_125]) ).

cnf(c_0_126_0,axiom,
    ( coll(X1,X2,sk2_esk2_3(X1,X3,X2))
    | ~ perp(X1,X2,X2,X3)
    | ~ cong(X2,X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_126]) ).

cnf(c_0_126_1,axiom,
    ( ~ perp(X1,X2,X2,X3)
    | coll(X1,X2,sk2_esk2_3(X1,X3,X2))
    | ~ cong(X2,X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_126]) ).

cnf(c_0_126_2,axiom,
    ( ~ cong(X2,X1,X2,X3)
    | ~ perp(X1,X2,X2,X3)
    | coll(X1,X2,sk2_esk2_3(X1,X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_126]) ).

cnf(c_0_127_0,axiom,
    ( midp(sk2_esk14_2(X1,X2),X1,X2)
    | ~ coll(X3,X1,X4)
    | ~ coll(X5,X1,X4)
    | ~ midp(X6,X5,X3)
    | ~ midp(X7,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_127]) ).

cnf(c_0_127_1,axiom,
    ( ~ coll(X3,X1,X4)
    | midp(sk2_esk14_2(X1,X2),X1,X2)
    | ~ coll(X5,X1,X4)
    | ~ midp(X6,X5,X3)
    | ~ midp(X7,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_127]) ).

cnf(c_0_127_2,axiom,
    ( ~ coll(X5,X1,X4)
    | ~ coll(X3,X1,X4)
    | midp(sk2_esk14_2(X1,X2),X1,X2)
    | ~ midp(X6,X5,X3)
    | ~ midp(X7,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_127]) ).

cnf(c_0_127_3,axiom,
    ( ~ midp(X6,X5,X3)
    | ~ coll(X5,X1,X4)
    | ~ coll(X3,X1,X4)
    | midp(sk2_esk14_2(X1,X2),X1,X2)
    | ~ midp(X7,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_127]) ).

cnf(c_0_127_4,axiom,
    ( ~ midp(X7,X1,X4)
    | ~ midp(X6,X5,X3)
    | ~ coll(X5,X1,X4)
    | ~ coll(X3,X1,X4)
    | midp(sk2_esk14_2(X1,X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_127]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_129,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ( circle(X4,X1,X2,X3)
        & circle(X4,X1,X5,X12)
        & perp(X6,X5,X1,X3)
        & coll(X6,X1,X3)
        & perp(X7,X5,X1,X2)
        & coll(X7,X1,X2)
        & circle(X4,X1,X8,X13)
        & perp(X9,X8,X1,X2)
        & coll(X9,X1,X2)
        & perp(X10,X8,X1,X3)
        & coll(X10,X1,X3)
        & perp(X6,X7,X8,X11)
        & perp(X9,X10,X5,X11) )
     => cyclic(X1,X5,X8,X11) ),
    file('<stdin>',exemplo6GDDFULL8110991) ).

fof(c_0_1_130,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
        ( ( circle(X4,X1,X2,X3)
          & circle(X4,X1,X5,X12)
          & perp(X6,X5,X1,X3)
          & coll(X6,X1,X3)
          & perp(X7,X5,X1,X2)
          & coll(X7,X1,X2)
          & circle(X4,X1,X8,X13)
          & perp(X9,X8,X1,X2)
          & coll(X9,X1,X2)
          & perp(X10,X8,X1,X3)
          & coll(X10,X1,X3)
          & perp(X6,X7,X8,X11)
          & perp(X9,X10,X5,X11) )
       => cyclic(X1,X5,X8,X11) ),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_2_131,negated_conjecture,
    ( circle(esk4_0,esk1_0,esk2_0,esk3_0)
    & circle(esk4_0,esk1_0,esk5_0,esk12_0)
    & perp(esk6_0,esk5_0,esk1_0,esk3_0)
    & coll(esk6_0,esk1_0,esk3_0)
    & perp(esk7_0,esk5_0,esk1_0,esk2_0)
    & coll(esk7_0,esk1_0,esk2_0)
    & circle(esk4_0,esk1_0,esk8_0,esk13_0)
    & perp(esk9_0,esk8_0,esk1_0,esk2_0)
    & coll(esk9_0,esk1_0,esk2_0)
    & perp(esk10_0,esk8_0,esk1_0,esk3_0)
    & coll(esk10_0,esk1_0,esk3_0)
    & perp(esk6_0,esk7_0,esk8_0,esk11_0)
    & perp(esk9_0,esk10_0,esk5_0,esk11_0)
    & ~ cyclic(esk1_0,esk5_0,esk8_0,esk11_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

cnf(c_0_3_132,negated_conjecture,
    ~ cyclic(esk1_0,esk5_0,esk8_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_133,negated_conjecture,
    circle(esk4_0,esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5_134,negated_conjecture,
    circle(esk4_0,esk1_0,esk5_0,esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6_135,negated_conjecture,
    perp(esk6_0,esk5_0,esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7_136,negated_conjecture,
    perp(esk7_0,esk5_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8_137,negated_conjecture,
    circle(esk4_0,esk1_0,esk8_0,esk13_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9_138,negated_conjecture,
    perp(esk9_0,esk8_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10_139,negated_conjecture,
    perp(esk10_0,esk8_0,esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11_140,negated_conjecture,
    perp(esk6_0,esk7_0,esk8_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12_141,negated_conjecture,
    perp(esk9_0,esk10_0,esk5_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_13_142,negated_conjecture,
    coll(esk6_0,esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_14_143,negated_conjecture,
    coll(esk7_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_15_144,negated_conjecture,
    coll(esk9_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_16_145,negated_conjecture,
    coll(esk10_0,esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_17_146,negated_conjecture,
    ~ cyclic(esk1_0,esk5_0,esk8_0,esk11_0),
    c_0_3,
    [final] ).

cnf(c_0_18_147,negated_conjecture,
    circle(esk4_0,esk1_0,esk2_0,esk3_0),
    c_0_4,
    [final] ).

cnf(c_0_19_148,negated_conjecture,
    circle(esk4_0,esk1_0,esk5_0,esk12_0),
    c_0_5,
    [final] ).

cnf(c_0_20_149,negated_conjecture,
    perp(esk6_0,esk5_0,esk1_0,esk3_0),
    c_0_6,
    [final] ).

cnf(c_0_21_150,negated_conjecture,
    perp(esk7_0,esk5_0,esk1_0,esk2_0),
    c_0_7,
    [final] ).

cnf(c_0_22_151,negated_conjecture,
    circle(esk4_0,esk1_0,esk8_0,esk13_0),
    c_0_8,
    [final] ).

cnf(c_0_23_152,negated_conjecture,
    perp(esk9_0,esk8_0,esk1_0,esk2_0),
    c_0_9,
    [final] ).

cnf(c_0_24_153,negated_conjecture,
    perp(esk10_0,esk8_0,esk1_0,esk3_0),
    c_0_10,
    [final] ).

cnf(c_0_25_154,negated_conjecture,
    perp(esk6_0,esk7_0,esk8_0,esk11_0),
    c_0_11,
    [final] ).

cnf(c_0_26_155,negated_conjecture,
    perp(esk9_0,esk10_0,esk5_0,esk11_0),
    c_0_12,
    [final] ).

cnf(c_0_27_156,negated_conjecture,
    coll(esk6_0,esk1_0,esk3_0),
    c_0_13,
    [final] ).

cnf(c_0_28_157,negated_conjecture,
    coll(esk7_0,esk1_0,esk2_0),
    c_0_14,
    [final] ).

cnf(c_0_29_158,negated_conjecture,
    coll(esk9_0,esk1_0,esk2_0),
    c_0_15,
    [final] ).

cnf(c_0_30_159,negated_conjecture,
    coll(esk10_0,esk1_0,esk3_0),
    c_0_16,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_186,plain,
    ( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
    | ~ coll(X0,X3,X2)
    | cyclic(X1,X2,X0,X3) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_323_0) ).

cnf(c_1029224,plain,
    ( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
    | ~ coll(X0,X3,X2)
    | cyclic(X1,X2,X0,X3) ),
    inference(copy,[status(esa)],[c_186]) ).

cnf(c_1326011,plain,
    ( ~ coll(sk3_esk5_0,X0,sk3_esk1_0)
    | ~ eqangle(sk3_esk5_0,X1,sk3_esk5_0,sk3_esk1_0,X0,X1,X0,sk3_esk1_0)
    | cyclic(X1,sk3_esk1_0,sk3_esk5_0,X0) ),
    inference(instantiation,[status(thm)],[c_1029224]) ).

cnf(c_2325270,plain,
    ( ~ coll(sk3_esk5_0,sk3_esk11_0,sk3_esk1_0)
    | ~ eqangle(sk3_esk5_0,X0,sk3_esk5_0,sk3_esk1_0,sk3_esk11_0,X0,sk3_esk11_0,sk3_esk1_0)
    | cyclic(X0,sk3_esk1_0,sk3_esk5_0,sk3_esk11_0) ),
    inference(instantiation,[status(thm)],[c_1326011]) ).

cnf(c_2325271,plain,
    ( ~ coll(sk3_esk5_0,sk3_esk11_0,sk3_esk1_0)
    | ~ eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk5_0,sk3_esk1_0,sk3_esk11_0,sk3_esk1_0,sk3_esk11_0,sk3_esk1_0)
    | cyclic(sk3_esk1_0,sk3_esk1_0,sk3_esk5_0,sk3_esk11_0) ),
    inference(instantiation,[status(thm)],[c_2325270]) ).

cnf(c_181,plain,
    ( eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
    | ~ cyclic(X1,X2,X0,X3) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_328_0) ).

cnf(c_1029219,plain,
    ( eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
    | ~ cyclic(X1,X2,X0,X3) ),
    inference(copy,[status(esa)],[c_181]) ).

cnf(c_2324981,plain,
    ( eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk5_0,sk3_esk1_0,X0,sk3_esk1_0,X0,sk3_esk1_0)
    | ~ cyclic(sk3_esk1_0,sk3_esk1_0,sk3_esk5_0,X0) ),
    inference(instantiation,[status(thm)],[c_1029219]) ).

cnf(c_2324983,plain,
    ( eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk5_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
    | ~ cyclic(sk3_esk1_0,sk3_esk1_0,sk3_esk5_0,sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_2324981]) ).

cnf(c_147,plain,
    ( cong(X0,X1,X2,X3)
    | ~ cong(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_362_0) ).

cnf(c_1029185,plain,
    ( cong(X0,X1,X2,X3)
    | ~ cong(X2,X3,X0,X1) ),
    inference(copy,[status(esa)],[c_147]) ).

cnf(c_1325964,plain,
    ( cong(sk3_esk5_0,X0,X0,sk3_esk1_0)
    | ~ cong(X0,sk3_esk1_0,sk3_esk5_0,X0) ),
    inference(instantiation,[status(thm)],[c_1029185]) ).

cnf(c_1822346,plain,
    ( ~ cong(sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0,sk3_esk5_0,sk2_esk14_2(sk3_esk1_0,sk3_esk5_0))
    | cong(sk3_esk5_0,sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_1325964]) ).

cnf(c_159,plain,
    ( ~ cong(X0,X1,X2,X3)
    | ~ cong(X2,X3,X4,X5)
    | cong(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_350_0) ).

cnf(c_1029197,plain,
    ( ~ cong(X0,X1,X2,X3)
    | ~ cong(X2,X3,X4,X5)
    | cong(X0,X1,X4,X5) ),
    inference(copy,[status(esa)],[c_159]) ).

cnf(c_1325256,plain,
    ( cong(sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0,sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0)
    | ~ cong(sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0,X0,X1)
    | ~ cong(X0,X1,sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_1029197]) ).

cnf(c_1821698,plain,
    ( cong(sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0,sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0)
    | ~ cong(sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0,sk3_esk5_0,sk2_esk14_2(sk3_esk1_0,sk3_esk5_0))
    | ~ cong(sk3_esk5_0,sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_1325256]) ).

cnf(c_180,plain,
    ( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
    | ~ para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_329_0) ).

cnf(c_1029218,plain,
    ( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
    | ~ para(X0,X1,X4,X5) ),
    inference(copy,[status(esa)],[c_180]) ).

cnf(c_1608355,plain,
    ( eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk11_0,sk3_esk1_0,sk3_esk5_0,X0,sk3_esk11_0,sk3_esk1_0)
    | ~ para(sk3_esk5_0,sk3_esk1_0,sk3_esk5_0,X0) ),
    inference(instantiation,[status(thm)],[c_1029218]) ).

cnf(c_1608356,plain,
    ( eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk11_0,sk3_esk1_0,sk3_esk5_0,sk3_esk1_0,sk3_esk11_0,sk3_esk1_0)
    | ~ para(sk3_esk5_0,sk3_esk1_0,sk3_esk5_0,sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_1608355]) ).

cnf(c_198,plain,
    ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_311_0) ).

cnf(c_1029236,plain,
    ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(copy,[status(esa)],[c_198]) ).

cnf(c_1607967,plain,
    ( eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk5_0,X0,sk3_esk11_0,sk3_esk1_0,sk3_esk11_0,X0)
    | ~ eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk11_0,sk3_esk1_0,sk3_esk5_0,X0,sk3_esk11_0,X0) ),
    inference(instantiation,[status(thm)],[c_1029236]) ).

cnf(c_1607973,plain,
    ( eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk5_0,sk3_esk1_0,sk3_esk11_0,sk3_esk1_0,sk3_esk11_0,sk3_esk1_0)
    | ~ eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk11_0,sk3_esk1_0,sk3_esk5_0,sk3_esk1_0,sk3_esk11_0,sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_1607967]) ).

cnf(c_191,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ para(X4,X5,X6,X7)
    | para(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_318_0) ).

cnf(c_1029229,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ para(X4,X5,X6,X7)
    | para(X0,X1,X2,X3) ),
    inference(copy,[status(esa)],[c_191]) ).

cnf(c_1607329,plain,
    ( ~ eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk5_0,X0,X1,X2,X3,X4)
    | para(sk3_esk5_0,sk3_esk1_0,sk3_esk5_0,X0)
    | ~ para(X1,X2,X3,X4) ),
    inference(instantiation,[status(thm)],[c_1029229]) ).

cnf(c_1607337,plain,
    ( ~ eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk5_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
    | ~ para(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
    | para(sk3_esk5_0,sk3_esk1_0,sk3_esk5_0,sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_1607329]) ).

cnf(c_164,plain,
    ( ~ cong(X0,X1,X0,X2)
    | ~ cong(X0,X1,X0,X3)
    | ~ cong(X0,X1,X0,X4)
    | cyclic(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_345_0) ).

cnf(c_1029202,plain,
    ( ~ cong(X0,X1,X0,X2)
    | ~ cong(X0,X1,X0,X3)
    | ~ cong(X0,X1,X0,X4)
    | cyclic(X1,X2,X3,X4) ),
    inference(copy,[status(esa)],[c_164]) ).

cnf(c_1029636,plain,
    ( ~ cong(X0,X1,X0,sk3_esk1_0)
    | ~ cong(X0,X1,X0,sk3_esk5_0)
    | ~ cong(X0,X1,X0,X2)
    | cyclic(X1,X2,sk3_esk1_0,sk3_esk5_0) ),
    inference(instantiation,[status(thm)],[c_1029202]) ).

cnf(c_1326985,plain,
    ( ~ cong(sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0,sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0)
    | ~ cong(sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0,sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk5_0)
    | ~ cong(sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0,sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),X0)
    | cyclic(sk3_esk1_0,X0,sk3_esk1_0,sk3_esk5_0) ),
    inference(instantiation,[status(thm)],[c_1029636]) ).

cnf(c_1326986,plain,
    ( ~ cong(sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0,sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0)
    | ~ cong(sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0,sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk5_0)
    | cyclic(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk5_0) ),
    inference(instantiation,[status(thm)],[c_1326985]) ).

cnf(c_143,plain,
    ( cyclic(X0,X1,X2,X3)
    | ~ cyclic(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_366_0) ).

cnf(c_1029181,plain,
    ( cyclic(X0,X1,X2,X3)
    | ~ cyclic(X0,X1,X3,X2) ),
    inference(copy,[status(esa)],[c_143]) ).

cnf(c_1325986,plain,
    ( ~ cyclic(X0,X1,sk3_esk1_0,sk3_esk5_0)
    | cyclic(X0,X1,sk3_esk5_0,sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_1029181]) ).

cnf(c_1325987,plain,
    ( ~ cyclic(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk5_0)
    | cyclic(sk3_esk1_0,sk3_esk1_0,sk3_esk5_0,sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_1325986]) ).

cnf(c_146,plain,
    ( cong(X0,X1,X2,X3)
    | ~ cong(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_363_0) ).

cnf(c_1029184,plain,
    ( cong(X0,X1,X2,X3)
    | ~ cong(X0,X1,X3,X2) ),
    inference(copy,[status(esa)],[c_146]) ).

cnf(c_1029619,plain,
    ( cong(X0,sk3_esk1_0,sk3_esk5_0,X0)
    | ~ cong(X0,sk3_esk1_0,X0,sk3_esk5_0) ),
    inference(instantiation,[status(thm)],[c_1029184]) ).

cnf(c_1325977,plain,
    ( ~ cong(sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0,sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk5_0)
    | cong(sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0,sk3_esk5_0,sk2_esk14_2(sk3_esk1_0,sk3_esk5_0)) ),
    inference(instantiation,[status(thm)],[c_1029619]) ).

cnf(c_1325906,plain,
    ( eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk8_0,sk3_esk1_0,sk3_esk5_0,X0,sk3_esk8_0,sk3_esk1_0)
    | ~ para(sk3_esk5_0,sk3_esk1_0,sk3_esk5_0,X0) ),
    inference(instantiation,[status(thm)],[c_1029218]) ).

cnf(c_1325907,plain,
    ( eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk8_0,sk3_esk1_0,sk3_esk5_0,sk3_esk1_0,sk3_esk8_0,sk3_esk1_0)
    | ~ para(sk3_esk5_0,sk3_esk1_0,sk3_esk5_0,sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_1325906]) ).

cnf(c_1325622,plain,
    ( eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk5_0,X0,sk3_esk8_0,sk3_esk1_0,sk3_esk8_0,X0)
    | ~ eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk8_0,sk3_esk1_0,sk3_esk5_0,X0,sk3_esk8_0,X0) ),
    inference(instantiation,[status(thm)],[c_1029236]) ).

cnf(c_1325628,plain,
    ( eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk5_0,sk3_esk1_0,sk3_esk8_0,sk3_esk1_0,sk3_esk8_0,sk3_esk1_0)
    | ~ eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk8_0,sk3_esk1_0,sk3_esk5_0,sk3_esk1_0,sk3_esk8_0,sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_1325622]) ).

cnf(c_185,plain,
    ( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
    | coll(X0,X3,X1)
    | cyclic(X1,X2,X0,X3) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_324_0) ).

cnf(c_1029223,plain,
    ( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
    | coll(X0,X3,X1)
    | cyclic(X1,X2,X0,X3) ),
    inference(copy,[status(esa)],[c_185]) ).

cnf(c_1029863,plain,
    ( coll(sk3_esk5_0,sk3_esk11_0,sk3_esk1_0)
    | ~ eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk5_0,X0,sk3_esk11_0,sk3_esk1_0,sk3_esk11_0,X0)
    | cyclic(sk3_esk1_0,X0,sk3_esk5_0,sk3_esk11_0) ),
    inference(instantiation,[status(thm)],[c_1029223]) ).

cnf(c_1029864,plain,
    ( coll(sk3_esk5_0,sk3_esk11_0,sk3_esk1_0)
    | ~ eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk5_0,sk3_esk1_0,sk3_esk11_0,sk3_esk1_0,sk3_esk11_0,sk3_esk1_0)
    | cyclic(sk3_esk1_0,sk3_esk1_0,sk3_esk5_0,sk3_esk11_0) ),
    inference(instantiation,[status(thm)],[c_1029863]) ).

cnf(c_1029596,plain,
    ( coll(sk3_esk5_0,sk3_esk8_0,sk3_esk1_0)
    | ~ eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk5_0,X0,sk3_esk8_0,sk3_esk1_0,sk3_esk8_0,X0)
    | cyclic(sk3_esk1_0,X0,sk3_esk5_0,sk3_esk8_0) ),
    inference(instantiation,[status(thm)],[c_1029223]) ).

cnf(c_1029597,plain,
    ( coll(sk3_esk5_0,sk3_esk8_0,sk3_esk1_0)
    | ~ eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk5_0,sk3_esk1_0,sk3_esk8_0,sk3_esk1_0,sk3_esk8_0,sk3_esk1_0)
    | cyclic(sk3_esk1_0,sk3_esk1_0,sk3_esk5_0,sk3_esk8_0) ),
    inference(instantiation,[status(thm)],[c_1029596]) ).

cnf(c_126,plain,
    ( ~ midp(X0,X1,X2)
    | ~ midp(X3,X4,X5)
    | ~ coll(X4,X1,X2)
    | midp(sk2_esk14_2(X1,X6),X1,X6)
    | ~ coll(X5,X1,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_127_1) ).

cnf(c_1029164,plain,
    ( ~ midp(X0,X1,X2)
    | ~ midp(X3,X4,X5)
    | ~ coll(X4,X1,X2)
    | midp(sk2_esk14_2(X1,X6),X1,X6)
    | ~ coll(X5,X1,X2) ),
    inference(copy,[status(esa)],[c_126]) ).

cnf(c_1029556,plain,
    ( ~ coll(X0,sk3_esk1_0,X1)
    | ~ coll(X2,sk3_esk1_0,X1)
    | midp(sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0,sk3_esk5_0)
    | ~ midp(X3,sk3_esk1_0,X1)
    | ~ midp(X4,X0,X2) ),
    inference(instantiation,[status(thm)],[c_1029164]) ).

cnf(c_1029558,plain,
    ( ~ coll(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
    | midp(sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0,sk3_esk5_0)
    | ~ midp(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_1029556]) ).

cnf(c_136,plain,
    ( cong(X0,X1,X0,X2)
    | ~ midp(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_373_0) ).

cnf(c_1029174,plain,
    ( cong(X0,X1,X0,X2)
    | ~ midp(X0,X1,X2) ),
    inference(copy,[status(esa)],[c_136]) ).

cnf(c_1029309,plain,
    ( cong(X0,sk3_esk1_0,X0,sk3_esk5_0)
    | ~ midp(X0,sk3_esk1_0,sk3_esk5_0) ),
    inference(instantiation,[status(thm)],[c_1029174]) ).

cnf(c_1029554,plain,
    ( cong(sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0,sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk5_0)
    | ~ midp(sk2_esk14_2(sk3_esk1_0,sk3_esk5_0),sk3_esk1_0,sk3_esk5_0) ),
    inference(instantiation,[status(thm)],[c_1029309]) ).

cnf(c_569,plain,
    ( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
    | ~ coll(X0,X3,X2)
    | cyclic(X1,X2,X0,X3) ),
    inference(copy,[status(esa)],[c_186]) ).

cnf(c_531277,plain,
    ( ~ coll(sk3_esk5_0,sk3_esk8_0,sk3_esk1_0)
    | ~ eqangle(sk3_esk5_0,X0,sk3_esk5_0,sk3_esk1_0,sk3_esk8_0,X0,sk3_esk8_0,sk3_esk1_0)
    | cyclic(X0,sk3_esk1_0,sk3_esk5_0,sk3_esk8_0) ),
    inference(instantiation,[status(thm)],[c_569]) ).

cnf(c_531278,plain,
    ( ~ coll(sk3_esk5_0,sk3_esk8_0,sk3_esk1_0)
    | ~ eqangle(sk3_esk5_0,sk3_esk1_0,sk3_esk5_0,sk3_esk1_0,sk3_esk8_0,sk3_esk1_0,sk3_esk8_0,sk3_esk1_0)
    | cyclic(sk3_esk1_0,sk3_esk1_0,sk3_esk5_0,sk3_esk8_0) ),
    inference(instantiation,[status(thm)],[c_531277]) ).

cnf(c_158,plain,
    ( ~ cyclic(X0,X1,X2,X3)
    | ~ cyclic(X0,X1,X2,X4)
    | cyclic(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_351_0) ).

cnf(c_541,plain,
    ( ~ cyclic(X0,X1,X2,X3)
    | ~ cyclic(X0,X1,X2,X4)
    | cyclic(X1,X2,X3,X4) ),
    inference(copy,[status(esa)],[c_158]) ).

cnf(c_331872,plain,
    ( cyclic(sk3_esk1_0,sk3_esk5_0,sk3_esk8_0,sk3_esk11_0)
    | ~ cyclic(X0,sk3_esk1_0,sk3_esk5_0,sk3_esk8_0)
    | ~ cyclic(X0,sk3_esk1_0,sk3_esk5_0,sk3_esk11_0) ),
    inference(instantiation,[status(thm)],[c_541]) ).

cnf(c_331873,plain,
    ( ~ cyclic(sk3_esk1_0,sk3_esk1_0,sk3_esk5_0,sk3_esk8_0)
    | ~ cyclic(sk3_esk1_0,sk3_esk1_0,sk3_esk5_0,sk3_esk11_0)
    | cyclic(sk3_esk1_0,sk3_esk5_0,sk3_esk8_0,sk3_esk11_0) ),
    inference(instantiation,[status(thm)],[c_331872]) ).

cnf(c_168,plain,
    ( para(X0,X1,X2,X3)
    | ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_341_0) ).

cnf(c_551,plain,
    ( para(X0,X1,X2,X3)
    | ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(copy,[status(esa)],[c_168]) ).

cnf(c_219105,plain,
    ( ~ eqangle(X0,X1,sk3_esk1_0,sk3_esk3_0,X0,X1,sk3_esk1_0,sk3_esk3_0)
    | para(X0,X1,X0,X1) ),
    inference(instantiation,[status(thm)],[c_551]) ).

cnf(c_219106,plain,
    ( ~ eqangle(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk3_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk3_0)
    | para(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_219105]) ).

cnf(c_196,plain,
    ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_313_0) ).

cnf(c_579,plain,
    ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    inference(copy,[status(esa)],[c_196]) ).

cnf(c_100499,plain,
    ( ~ eqangle(sk3_esk1_0,sk3_esk3_0,X0,X1,sk3_esk1_0,sk3_esk3_0,X0,X1)
    | eqangle(X0,X1,sk3_esk1_0,sk3_esk3_0,X0,X1,sk3_esk1_0,sk3_esk3_0) ),
    inference(instantiation,[status(thm)],[c_579]) ).

cnf(c_100500,plain,
    ( eqangle(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk3_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk3_0)
    | ~ eqangle(sk3_esk1_0,sk3_esk3_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk3_0,sk3_esk1_0,sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_100499]) ).

cnf(c_563,plain,
    ( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
    | ~ para(X0,X1,X4,X5) ),
    inference(copy,[status(esa)],[c_180]) ).

cnf(c_44556,plain,
    ( eqangle(sk3_esk1_0,sk3_esk3_0,X0,X1,sk3_esk1_0,sk3_esk3_0,X0,X1)
    | ~ para(sk3_esk1_0,sk3_esk3_0,sk3_esk1_0,sk3_esk3_0) ),
    inference(instantiation,[status(thm)],[c_563]) ).

cnf(c_44557,plain,
    ( eqangle(sk3_esk1_0,sk3_esk3_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk3_0,sk3_esk1_0,sk3_esk1_0)
    | ~ para(sk3_esk1_0,sk3_esk3_0,sk3_esk1_0,sk3_esk3_0) ),
    inference(instantiation,[status(thm)],[c_44556]) ).

cnf(c_155,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ perp(X2,X3,X4,X5)
    | para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_354_0) ).

cnf(c_538,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ perp(X2,X3,X4,X5)
    | para(X0,X1,X4,X5) ),
    inference(copy,[status(esa)],[c_155]) ).

cnf(c_20395,plain,
    ( ~ perp(sk3_esk1_0,sk3_esk3_0,sk3_esk6_0,sk3_esk5_0)
    | ~ perp(sk3_esk6_0,sk3_esk5_0,X0,X1)
    | para(sk3_esk1_0,sk3_esk3_0,X0,X1) ),
    inference(instantiation,[status(thm)],[c_538]) ).

cnf(c_44466,plain,
    ( ~ perp(sk3_esk1_0,sk3_esk3_0,sk3_esk6_0,sk3_esk5_0)
    | ~ perp(sk3_esk6_0,sk3_esk5_0,sk3_esk1_0,sk3_esk3_0)
    | para(sk3_esk1_0,sk3_esk3_0,sk3_esk1_0,sk3_esk3_0) ),
    inference(instantiation,[status(thm)],[c_20395]) ).

cnf(c_142,plain,
    ( perp(X0,X1,X2,X3)
    | ~ perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_367_0) ).

cnf(c_525,plain,
    ( perp(X0,X1,X2,X3)
    | ~ perp(X2,X3,X0,X1) ),
    inference(copy,[status(esa)],[c_142]) ).

cnf(c_19947,plain,
    ( perp(sk3_esk1_0,sk3_esk3_0,sk3_esk6_0,sk3_esk5_0)
    | ~ perp(sk3_esk6_0,sk3_esk5_0,sk3_esk1_0,sk3_esk3_0) ),
    inference(instantiation,[status(thm)],[c_525]) ).

cnf(c_133,plain,
    ( coll(X0,X1,X2)
    | ~ para(X0,X1,X0,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_376_0) ).

cnf(c_251,plain,
    ( coll(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
    | ~ para(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_133]) ).

cnf(c_151,plain,
    ( ~ cong(X0,X1,X0,X2)
    | ~ coll(X0,X1,X2)
    | midp(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_358_0) ).

cnf(c_245,plain,
    ( ~ coll(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
    | ~ cong(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
    | midp(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_151]) ).

cnf(c_231,plain,
    ( eqangle(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
    | ~ para(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_180]) ).

cnf(c_225,plain,
    ( ~ coll(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
    | ~ eqangle(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
    | cyclic(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_186]) ).

cnf(c_194,plain,
    ( ~ cyclic(X0,X1,X2,X3)
    | ~ cyclic(X0,X1,X2,X4)
    | ~ cyclic(X0,X1,X2,X5)
    | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
    | cong(X0,X1,X3,X4) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_315_0) ).

cnf(c_221,plain,
    ( ~ eqangle(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
    | cong(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
    | ~ cyclic(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_194]) ).

cnf(c_206,negated_conjecture,
    ~ cyclic(sk3_esk1_0,sk3_esk5_0,sk3_esk8_0,sk3_esk11_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_17) ).

cnf(c_209,negated_conjecture,
    perp(sk3_esk6_0,sk3_esk5_0,sk3_esk1_0,sk3_esk3_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_658245.p',c_0_20) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_2325271,c_2324983,c_1822346,c_1821698,c_1608356,c_1607973,c_1607337,c_1326986,c_1325987,c_1325977,c_1325907,c_1325628,c_1029864,c_1029597,c_1029558,c_1029554,c_531278,c_331873,c_219106,c_100500,c_44557,c_44466,c_19947,c_251,c_245,c_231,c_225,c_221,c_206,c_209]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO628+1 : TPTP v8.1.0. Released v7.5.0.
% 0.13/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jun 17 23:27:21 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.35  % Running in mono-core mode
% 0.20/0.43  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.43  % FOF problem with conjecture
% 0.20/0.43  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_45b5d6.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_658245.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_85db04 | grep -v "SZS"
% 0.20/0.45  
% 0.20/0.45  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.45  
% 0.20/0.45  % 
% 0.20/0.45  % ------  iProver source info 
% 0.20/0.45  
% 0.20/0.45  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.45  % git: non_committed_changes: true
% 0.20/0.45  % git: last_make_outside_of_git: true
% 0.20/0.45  
% 0.20/0.45  % 
% 0.20/0.45  % ------ Input Options
% 0.20/0.45  
% 0.20/0.45  % --out_options                         all
% 0.20/0.45  % --tptp_safe_out                       true
% 0.20/0.45  % --problem_path                        ""
% 0.20/0.45  % --include_path                        ""
% 0.20/0.45  % --clausifier                          .//eprover
% 0.20/0.45  % --clausifier_options                  --tstp-format  
% 0.20/0.45  % --stdin                               false
% 0.20/0.45  % --dbg_backtrace                       false
% 0.20/0.45  % --dbg_dump_prop_clauses               false
% 0.20/0.45  % --dbg_dump_prop_clauses_file          -
% 0.20/0.45  % --dbg_out_stat                        false
% 0.20/0.45  
% 0.20/0.45  % ------ General Options
% 0.20/0.45  
% 0.20/0.45  % --fof                                 false
% 0.20/0.45  % --time_out_real                       150.
% 0.20/0.45  % --time_out_prep_mult                  0.2
% 0.20/0.45  % --time_out_virtual                    -1.
% 0.20/0.45  % --schedule                            none
% 0.20/0.45  % --ground_splitting                    input
% 0.20/0.45  % --splitting_nvd                       16
% 0.20/0.45  % --non_eq_to_eq                        false
% 0.20/0.45  % --prep_gs_sim                         true
% 0.20/0.45  % --prep_unflatten                      false
% 0.20/0.45  % --prep_res_sim                        true
% 0.20/0.45  % --prep_upred                          true
% 0.20/0.45  % --res_sim_input                       true
% 0.20/0.45  % --clause_weak_htbl                    true
% 0.20/0.45  % --gc_record_bc_elim                   false
% 0.20/0.45  % --symbol_type_check                   false
% 0.20/0.45  % --clausify_out                        false
% 0.20/0.45  % --large_theory_mode                   false
% 0.20/0.45  % --prep_sem_filter                     none
% 0.20/0.45  % --prep_sem_filter_out                 false
% 0.20/0.45  % --preprocessed_out                    false
% 0.20/0.45  % --sub_typing                          false
% 0.20/0.45  % --brand_transform                     false
% 0.20/0.45  % --pure_diseq_elim                     true
% 0.20/0.45  % --min_unsat_core                      false
% 0.20/0.45  % --pred_elim                           true
% 0.20/0.45  % --add_important_lit                   false
% 0.20/0.45  % --soft_assumptions                    false
% 0.20/0.45  % --reset_solvers                       false
% 0.20/0.45  % --bc_imp_inh                          []
% 0.20/0.45  % --conj_cone_tolerance                 1.5
% 0.20/0.45  % --prolific_symb_bound                 500
% 0.20/0.45  % --lt_threshold                        2000
% 0.20/0.45  
% 0.20/0.45  % ------ SAT Options
% 0.20/0.45  
% 0.20/0.45  % --sat_mode                            false
% 0.20/0.45  % --sat_fm_restart_options              ""
% 0.20/0.45  % --sat_gr_def                          false
% 0.20/0.45  % --sat_epr_types                       true
% 0.20/0.45  % --sat_non_cyclic_types                false
% 0.20/0.45  % --sat_finite_models                   false
% 0.20/0.45  % --sat_fm_lemmas                       false
% 0.20/0.45  % --sat_fm_prep                         false
% 0.20/0.45  % --sat_fm_uc_incr                      true
% 0.20/0.45  % --sat_out_model                       small
% 0.20/0.45  % --sat_out_clauses                     false
% 0.20/0.45  
% 0.20/0.45  % ------ QBF Options
% 0.20/0.45  
% 0.20/0.45  % --qbf_mode                            false
% 0.20/0.45  % --qbf_elim_univ                       true
% 0.20/0.45  % --qbf_sk_in                           true
% 0.20/0.45  % --qbf_pred_elim                       true
% 0.20/0.45  % --qbf_split                           32
% 0.20/0.45  
% 0.20/0.45  % ------ BMC1 Options
% 0.20/0.45  
% 0.20/0.45  % --bmc1_incremental                    false
% 0.20/0.45  % --bmc1_axioms                         reachable_all
% 0.20/0.45  % --bmc1_min_bound                      0
% 0.20/0.45  % --bmc1_max_bound                      -1
% 0.20/0.45  % --bmc1_max_bound_default              -1
% 0.20/0.45  % --bmc1_symbol_reachability            true
% 0.20/0.45  % --bmc1_property_lemmas                false
% 0.20/0.45  % --bmc1_k_induction                    false
% 0.20/0.45  % --bmc1_non_equiv_states               false
% 0.20/0.45  % --bmc1_deadlock                       false
% 0.20/0.45  % --bmc1_ucm                            false
% 0.20/0.45  % --bmc1_add_unsat_core                 none
% 0.20/0.45  % --bmc1_unsat_core_children            false
% 0.20/0.45  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.45  % --bmc1_out_stat                       full
% 0.20/0.45  % --bmc1_ground_init                    false
% 0.20/0.45  % --bmc1_pre_inst_next_state            false
% 0.20/0.45  % --bmc1_pre_inst_state                 false
% 0.20/0.45  % --bmc1_pre_inst_reach_state           false
% 0.20/0.45  % --bmc1_out_unsat_core                 false
% 0.20/0.45  % --bmc1_aig_witness_out                false
% 0.20/0.45  % --bmc1_verbose                        false
% 0.20/0.45  % --bmc1_dump_clauses_tptp              false
% 0.20/0.48  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.48  % --bmc1_dump_file                      -
% 0.20/0.48  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.48  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.48  % --bmc1_ucm_extend_mode                1
% 0.20/0.48  % --bmc1_ucm_init_mode                  2
% 0.20/0.48  % --bmc1_ucm_cone_mode                  none
% 0.20/0.48  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.48  % --bmc1_ucm_relax_model                4
% 0.20/0.48  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.48  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.48  % --bmc1_ucm_layered_model              none
% 0.20/0.48  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.48  
% 0.20/0.48  % ------ AIG Options
% 0.20/0.48  
% 0.20/0.48  % --aig_mode                            false
% 0.20/0.48  
% 0.20/0.48  % ------ Instantiation Options
% 0.20/0.48  
% 0.20/0.48  % --instantiation_flag                  true
% 0.20/0.48  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.48  % --inst_solver_per_active              750
% 0.20/0.48  % --inst_solver_calls_frac              0.5
% 0.20/0.48  % --inst_passive_queue_type             priority_queues
% 0.20/0.48  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.48  % --inst_passive_queues_freq            [25;2]
% 0.20/0.48  % --inst_dismatching                    true
% 0.20/0.48  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.48  % --inst_prop_sim_given                 true
% 0.20/0.48  % --inst_prop_sim_new                   false
% 0.20/0.48  % --inst_orphan_elimination             true
% 0.20/0.48  % --inst_learning_loop_flag             true
% 0.20/0.48  % --inst_learning_start                 3000
% 0.20/0.48  % --inst_learning_factor                2
% 0.20/0.48  % --inst_start_prop_sim_after_learn     3
% 0.20/0.48  % --inst_sel_renew                      solver
% 0.20/0.48  % --inst_lit_activity_flag              true
% 0.20/0.48  % --inst_out_proof                      true
% 0.20/0.48  
% 0.20/0.48  % ------ Resolution Options
% 0.20/0.48  
% 0.20/0.48  % --resolution_flag                     true
% 0.20/0.48  % --res_lit_sel                         kbo_max
% 0.20/0.48  % --res_to_prop_solver                  none
% 0.20/0.48  % --res_prop_simpl_new                  false
% 0.20/0.48  % --res_prop_simpl_given                false
% 0.20/0.48  % --res_passive_queue_type              priority_queues
% 0.20/0.48  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.48  % --res_passive_queues_freq             [15;5]
% 0.20/0.48  % --res_forward_subs                    full
% 0.20/0.48  % --res_backward_subs                   full
% 0.20/0.48  % --res_forward_subs_resolution         true
% 0.20/0.48  % --res_backward_subs_resolution        true
% 0.20/0.48  % --res_orphan_elimination              false
% 0.20/0.48  % --res_time_limit                      1000.
% 0.20/0.48  % --res_out_proof                       true
% 0.20/0.48  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_45b5d6.s
% 0.20/0.48  % --modulo                              true
% 0.20/0.48  
% 0.20/0.48  % ------ Combination Options
% 0.20/0.48  
% 0.20/0.48  % --comb_res_mult                       1000
% 0.20/0.48  % --comb_inst_mult                      300
% 0.20/0.48  % ------ 
% 0.20/0.48  
% 0.20/0.48  % ------ Parsing...% successful
% 0.20/0.48  
% 0.20/0.48  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.20/0.48  
% 0.20/0.48  % ------ Proving...
% 0.20/0.48  % ------ Problem Properties 
% 0.20/0.48  
% 0.20/0.48  % 
% 0.20/0.48  % EPR                                   false
% 0.20/0.48  % Horn                                  false
% 0.20/0.48  % Has equality                          true
% 0.20/0.48  
% 0.20/0.48  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.48  
% 0.20/0.48  
% 0.20/0.48  % % ------ Current options:
% 0.20/0.48  
% 0.20/0.48  % ------ Input Options
% 0.20/0.48  
% 0.20/0.48  % --out_options                         all
% 0.20/0.48  % --tptp_safe_out                       true
% 0.20/0.48  % --problem_path                        ""
% 0.20/0.48  % --include_path                        ""
% 0.20/0.48  % --clausifier                          .//eprover
% 0.20/0.48  % --clausifier_options                  --tstp-format  
% 0.20/0.48  % --stdin                               false
% 0.20/0.48  % --dbg_backtrace                       false
% 0.20/0.48  % --dbg_dump_prop_clauses               false
% 0.20/0.48  % --dbg_dump_prop_clauses_file          -
% 0.20/0.48  % --dbg_out_stat                        false
% 0.20/0.48  
% 0.20/0.48  % ------ General Options
% 0.20/0.48  
% 0.20/0.48  % --fof                                 false
% 0.20/0.48  % --time_out_real                       150.
% 0.20/0.48  % --time_out_prep_mult                  0.2
% 0.20/0.48  % --time_out_virtual                    -1.
% 0.20/0.48  % --schedule                            none
% 0.20/0.48  % --ground_splitting                    input
% 0.20/0.48  % --splitting_nvd                       16
% 0.20/0.48  % --non_eq_to_eq                        false
% 0.20/0.48  % --prep_gs_sim                         true
% 0.20/0.48  % --prep_unflatten                      false
% 0.20/0.48  % --prep_res_sim                        true
% 0.20/0.48  % --prep_upred                          true
% 0.20/0.48  % --res_sim_input                       true
% 0.20/0.48  % --clause_weak_htbl                    true
% 0.20/0.48  % --gc_record_bc_elim                   false
% 0.20/0.48  % --symbol_type_check                   false
% 0.20/0.48  % --clausify_out                        false
% 0.20/0.48  % --large_theory_mode                   false
% 0.20/0.48  % --prep_sem_filter                     none
% 0.20/0.48  % --prep_sem_filter_out                 false
% 0.20/0.48  % --preprocessed_out                    false
% 0.20/0.48  % --sub_typing                          false
% 0.20/0.48  % --brand_transform                     false
% 0.20/0.48  % --pure_diseq_elim                     true
% 0.20/0.48  % --min_unsat_core                      false
% 0.20/0.48  % --pred_elim                           true
% 0.20/0.48  % --add_important_lit                   false
% 0.20/0.48  % --soft_assumptions                    false
% 0.20/0.48  % --reset_solvers                       false
% 0.20/0.48  % --bc_imp_inh                          []
% 0.20/0.48  % --conj_cone_tolerance                 1.5
% 0.20/0.48  % --prolific_symb_bound                 500
% 0.20/0.48  % --lt_threshold                        2000
% 0.20/0.48  
% 0.20/0.48  % ------ SAT Options
% 0.20/0.48  
% 0.20/0.48  % --sat_mode                            false
% 0.20/0.48  % --sat_fm_restart_options              ""
% 0.20/0.48  % --sat_gr_def                          false
% 0.20/0.48  % --sat_epr_types                       true
% 0.20/0.48  % --sat_non_cyclic_types                false
% 0.20/0.48  % --sat_finite_models                   false
% 0.20/0.48  % --sat_fm_lemmas                       false
% 0.20/0.48  % --sat_fm_prep                         false
% 0.20/0.48  % --sat_fm_uc_incr                      true
% 0.20/0.48  % --sat_out_model                       small
% 0.20/0.48  % --sat_out_clauses                     false
% 0.20/0.48  
% 0.20/0.48  % ------ QBF Options
% 0.20/0.48  
% 0.20/0.48  % --qbf_mode                            false
% 0.20/0.48  % --qbf_elim_univ                       true
% 0.20/0.48  % --qbf_sk_in                           true
% 0.20/0.48  % --qbf_pred_elim                       true
% 0.20/0.48  % --qbf_split                           32
% 0.20/0.48  
% 0.20/0.48  % ------ BMC1 Options
% 0.20/0.48  
% 0.20/0.48  % --bmc1_incremental                    false
% 0.20/0.48  % --bmc1_axioms                         reachable_all
% 0.20/0.48  % --bmc1_min_bound                      0
% 0.20/0.48  % --bmc1_max_bound                      -1
% 0.20/0.48  % --bmc1_max_bound_default              -1
% 0.20/0.48  % --bmc1_symbol_reachability            true
% 0.20/0.48  % --bmc1_property_lemmas                false
% 0.20/0.48  % --bmc1_k_induction                    false
% 0.20/0.48  % --bmc1_non_equiv_states               false
% 0.20/0.48  % --bmc1_deadlock                       false
% 0.20/0.48  % --bmc1_ucm                            false
% 0.20/0.48  % --bmc1_add_unsat_core                 none
% 0.20/0.48  % --bmc1_unsat_core_children            false
% 0.20/0.48  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.48  % --bmc1_out_stat                       full
% 0.20/0.48  % --bmc1_ground_init                    false
% 0.20/0.48  % --bmc1_pre_inst_next_state            false
% 0.20/0.48  % --bmc1_pre_inst_state                 false
% 0.20/0.48  % --bmc1_pre_inst_reach_state           false
% 0.20/0.48  % --bmc1_out_unsat_core                 false
% 0.20/0.48  % --bmc1_aig_witness_out                false
% 0.20/0.48  % --bmc1_verbose                        false
% 0.20/0.48  % --bmc1_dump_clauses_tptp              false
% 0.20/0.48  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.48  % --bmc1_dump_file                      -
% 0.20/0.48  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.48  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.48  % --bmc1_ucm_extend_mode                1
% 0.20/0.48  % --bmc1_ucm_init_mode                  2
% 0.20/0.48  % --bmc1_ucm_cone_mode                  none
% 0.20/0.48  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.48  % --bmc1_ucm_relax_model                4
% 0.20/0.48  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.48  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.48  % --bmc1_ucm_layered_model              none
% 0.20/0.48  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.48  
% 0.20/0.48  % ------ AIG Options
% 0.20/0.48  
% 0.20/0.48  % --aig_mode                            false
% 0.20/0.48  
% 0.20/0.48  % ------ Instantiation Options
% 0.20/0.48  
% 0.20/0.48  % --instantiation_flag                  true
% 0.20/0.48  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.48  % --inst_solver_per_active              750
% 0.20/0.48  % --inst_solver_calls_frac              0.5
% 0.20/0.48  % --inst_passive_queue_type             priority_queues
% 0.20/0.48  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.48  % --inst_passive_queues_freq            [25;2]
% 0.20/0.48  % --inst_dismatching                    true
% 0.20/0.48  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.48  % --inst_prop_sim_given                 true
% 147.72/147.94  % --inst_prop_sim_new                   false
% 147.72/147.94  % --inst_orphan_elimination             true
% 147.72/147.94  % --inst_learning_loop_flag             true
% 147.72/147.94  % --inst_learning_start                 3000
% 147.72/147.94  % --inst_learning_factor                2
% 147.72/147.94  % --inst_start_prop_sim_after_learn     3
% 147.72/147.94  % --inst_sel_renew                      solver
% 147.72/147.94  % --inst_lit_activity_flag              true
% 147.72/147.94  % --inst_out_proof                      true
% 147.72/147.94  
% 147.72/147.94  % ------ Resolution Options
% 147.72/147.94  
% 147.72/147.94  % --resolution_flag                     true
% 147.72/147.94  % --res_lit_sel                         kbo_max
% 147.72/147.94  % --res_to_prop_solver                  none
% 147.72/147.94  % --res_prop_simpl_new                  false
% 147.72/147.94  % --res_prop_simpl_given                false
% 147.72/147.94  % --res_passive_queue_type              priority_queues
% 147.72/147.94  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 147.72/147.94  % --res_passive_queues_freq             [15;5]
% 147.72/147.94  % --res_forward_subs                    full
% 147.72/147.94  % --res_backward_subs                   full
% 147.72/147.94  % --res_forward_subs_resolution         true
% 147.72/147.94  % --res_backward_subs_resolution        true
% 147.72/147.94  % --res_orphan_elimination              false
% 147.72/147.94  % --res_time_limit                      1000.
% 147.72/147.94  % --res_out_proof                       true
% 147.72/147.94  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_45b5d6.s
% 147.72/147.94  % --modulo                              true
% 147.72/147.94  
% 147.72/147.94  % ------ Combination Options
% 147.72/147.94  
% 147.72/147.94  % --comb_res_mult                       1000
% 147.72/147.94  % --comb_inst_mult                      300
% 147.72/147.94  % ------ 
% 147.72/147.94  
% 147.72/147.94  
% 147.72/147.94  
% 147.72/147.94  % ------ Proving...
% 147.72/147.94  % 
% 147.72/147.94  
% 147.72/147.94  
% 147.72/147.94  % ------                             Statistics
% 147.72/147.94  
% 147.72/147.94  % ------ General
% 147.72/147.94  
% 147.72/147.94  % num_of_input_clauses:                 220
% 147.72/147.94  % num_of_input_neg_conjectures:         14
% 147.72/147.94  % num_of_splits:                        0
% 147.72/147.94  % num_of_split_atoms:                   0
% 147.72/147.94  % num_of_sem_filtered_clauses:          0
% 147.72/147.94  % num_of_subtypes:                      0
% 147.72/147.94  % monotx_restored_types:                0
% 147.72/147.94  % sat_num_of_epr_types:                 0
% 147.72/147.94  % sat_num_of_non_cyclic_types:          0
% 147.72/147.94  % sat_guarded_non_collapsed_types:      0
% 147.72/147.94  % is_epr:                               0
% 147.72/147.94  % is_horn:                              0
% 147.72/147.94  % has_eq:                               1
% 147.72/147.94  % num_pure_diseq_elim:                  0
% 147.72/147.94  % simp_replaced_by:                     0
% 147.72/147.94  % res_preprocessed:                     28
% 147.72/147.94  % prep_upred:                           0
% 147.72/147.94  % prep_unflattend:                      0
% 147.72/147.94  % pred_elim_cands:                      0
% 147.72/147.94  % pred_elim:                            0
% 147.72/147.94  % pred_elim_cl:                         0
% 147.72/147.94  % pred_elim_cycles:                     0
% 147.72/147.94  % forced_gc_time:                       0
% 147.72/147.94  % gc_basic_clause_elim:                 0
% 147.72/147.94  % parsing_time:                         0.012
% 147.72/147.94  % sem_filter_time:                      0.
% 147.72/147.94  % pred_elim_time:                       0.
% 147.72/147.94  % out_proof_time:                       0.004
% 147.72/147.94  % monotx_time:                          0.
% 147.72/147.94  % subtype_inf_time:                     0.
% 147.72/147.94  % unif_index_cands_time:                0.115
% 147.72/147.94  % unif_index_add_time:                  0.069
% 147.72/147.94  % total_time:                           147.506
% 147.72/147.94  % num_of_symbols:                       69
% 147.72/147.94  % num_of_terms:                         252095
% 147.72/147.94  
% 147.72/147.94  % ------ Propositional Solver
% 147.72/147.94  
% 147.72/147.94  % prop_solver_calls:                    25
% 147.72/147.94  % prop_fast_solver_calls:               42
% 147.72/147.94  % prop_num_of_clauses:                  22708
% 147.72/147.94  % prop_preprocess_simplified:           27522
% 147.72/147.94  % prop_fo_subsumed:                     0
% 147.72/147.94  % prop_solver_time:                     0.012
% 147.72/147.94  % prop_fast_solver_time:                0.
% 147.72/147.94  % prop_unsat_core_time:                 0.002
% 147.72/147.94  
% 147.72/147.94  % ------ QBF 
% 147.72/147.94  
% 147.72/147.94  % qbf_q_res:                            0
% 147.72/147.94  % qbf_num_tautologies:                  0
% 147.72/147.94  % qbf_prep_cycles:                      0
% 147.72/147.94  
% 147.72/147.94  % ------ BMC1
% 147.72/147.94  
% 147.72/147.94  % bmc1_current_bound:                   -1
% 147.72/147.94  % bmc1_last_solved_bound:               -1
% 147.72/147.94  % bmc1_unsat_core_size:                 -1
% 147.72/147.94  % bmc1_unsat_core_parents_size:         -1
% 147.72/147.94  % bmc1_merge_next_fun:                  0
% 147.72/147.94  % bmc1_unsat_core_clauses_time:         0.
% 147.72/147.94  
% 147.72/147.94  % ------ Instantiation
% 147.72/147.94  
% 147.72/147.94  % inst_num_of_clauses:                  6066
% 147.72/147.94  % inst_num_in_passive:                  4441
% 147.72/147.94  % inst_num_in_active:                   1527
% 147.72/147.94  % inst_num_in_unprocessed:              80
% 147.72/147.94  % inst_num_of_loops:                    1606
% 147.72/147.95  % inst_num_of_learning_restarts:        1
% 147.72/147.95  % inst_num_moves_active_passive:        59
% 147.72/147.95  % inst_lit_activity:                    1991
% 147.72/147.95  % inst_lit_activity_moves:              0
% 147.72/147.95  % inst_num_tautologies:                 16
% 147.72/147.95  % inst_num_prop_implied:                0
% 147.72/147.95  % inst_num_existing_simplified:         0
% 147.72/147.95  % inst_num_eq_res_simplified:           0
% 147.72/147.95  % inst_num_child_elim:                  0
% 147.72/147.95  % inst_num_of_dismatching_blockings:    2192
% 147.72/147.95  % inst_num_of_non_proper_insts:         7019
% 147.72/147.95  % inst_num_of_duplicates:               3561
% 147.72/147.95  % inst_inst_num_from_inst_to_res:       0
% 147.72/147.95  % inst_dismatching_checking_time:       0.237
% 147.72/147.95  
% 147.72/147.95  % ------ Resolution
% 147.72/147.95  
% 147.72/147.95  % res_num_of_clauses:                   906778
% 147.72/147.95  % res_num_in_passive:                   892586
% 147.72/147.95  % res_num_in_active:                    14384
% 147.72/147.95  % res_num_of_loops:                     16000
% 147.72/147.95  % res_forward_subset_subsumed:          95604
% 147.72/147.95  % res_backward_subset_subsumed:         325
% 147.72/147.95  % res_forward_subsumed:                 1473
% 147.72/147.95  % res_backward_subsumed:                4
% 147.72/147.95  % res_forward_subsumption_resolution:   476
% 147.72/147.95  % res_backward_subsumption_resolution:  56
% 147.72/147.95  % res_clause_to_clause_subsumption:     1791358
% 147.72/147.95  % res_orphan_elimination:               0
% 147.72/147.95  % res_tautology_del:                    541
% 147.72/147.95  % res_num_eq_res_simplified:            0
% 147.72/147.95  % res_num_sel_changes:                  0
% 147.72/147.95  % res_moves_from_active_to_pass:        0
% 147.72/147.95  
% 147.72/147.95  % Status Unsatisfiable
% 147.72/147.95  % SZS status Theorem
% 147.72/147.95  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------