TSTP Solution File: GEO542+1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : GEO542+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n015.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 04:43:54 EDT 2022
% Result : Theorem 139.16s 139.39s
% Output : CNFRefutation 139.16s
% 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] :
( ( midp(X4,X3,X2)
& midp(X5,X3,X1)
& midp(X6,X2,X1)
& circle(X7,X1,X2,X3) )
=> perp(X7,X4,X5,X6) ),
file('<stdin>',exemplo6GDDFULL012002) ).
fof(c_0_1_130,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X7] :
( ( midp(X4,X3,X2)
& midp(X5,X3,X1)
& midp(X6,X2,X1)
& circle(X7,X1,X2,X3) )
=> perp(X7,X4,X5,X6) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_131,negated_conjecture,
( midp(esk4_0,esk3_0,esk2_0)
& midp(esk5_0,esk3_0,esk1_0)
& midp(esk6_0,esk2_0,esk1_0)
& circle(esk7_0,esk1_0,esk2_0,esk3_0)
& ~ perp(esk7_0,esk4_0,esk5_0,esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_132,negated_conjecture,
~ perp(esk7_0,esk4_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_133,negated_conjecture,
circle(esk7_0,esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_134,negated_conjecture,
midp(esk4_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_135,negated_conjecture,
midp(esk5_0,esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_136,negated_conjecture,
midp(esk6_0,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_137,negated_conjecture,
~ perp(esk7_0,esk4_0,esk5_0,esk6_0),
c_0_3,
[final] ).
cnf(c_0_9_138,negated_conjecture,
circle(esk7_0,esk1_0,esk2_0,esk3_0),
c_0_4,
[final] ).
cnf(c_0_10_139,negated_conjecture,
midp(esk4_0,esk3_0,esk2_0),
c_0_5,
[final] ).
cnf(c_0_11_140,negated_conjecture,
midp(esk5_0,esk3_0,esk1_0),
c_0_6,
[final] ).
cnf(c_0_12_141,negated_conjecture,
midp(esk6_0,esk2_0,esk1_0),
c_0_7,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_155,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_354_0) ).
cnf(c_2352127,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(copy,[status(esa)],[c_155]) ).
cnf(c_2776065,plain,
( ~ perp(X0,sk3_esk7_0,X1,X2)
| ~ perp(X1,X2,X0,X3)
| para(X0,sk3_esk7_0,X0,X3) ),
inference(instantiation,[status(thm)],[c_2352127]) ).
cnf(c_2776066,plain,
( ~ perp(sk3_esk1_0,sk3_esk7_0,sk3_esk1_0,sk3_esk1_0)
| ~ perp(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
| para(sk3_esk1_0,sk3_esk7_0,sk3_esk1_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_2776065]) ).
cnf(c_131,plain,
( coll(X0,X1,X2)
| ~ coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_378_0) ).
cnf(c_2352103,plain,
( coll(X0,X1,X2)
| ~ coll(X1,X0,X2) ),
inference(copy,[status(esa)],[c_131]) ).
cnf(c_2775399,plain,
( coll(sk3_esk7_0,X0,X1)
| ~ coll(X0,sk3_esk7_0,X1) ),
inference(instantiation,[status(thm)],[c_2352103]) ).
cnf(c_2775403,plain,
( coll(sk3_esk7_0,sk3_esk1_0,sk3_esk1_0)
| ~ coll(sk3_esk1_0,sk3_esk7_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_2775399]) ).
cnf(c_141,plain,
( perp(X0,X1,X2,X3)
| ~ perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_368_0) ).
cnf(c_452,plain,
( perp(X0,X1,X2,X3)
| ~ perp(X0,X1,X3,X2) ),
inference(copy,[status(esa)],[c_141]) ).
cnf(c_1134570,plain,
( ~ perp(X0,X1,sk3_esk7_0,X1)
| perp(X0,X1,X1,sk3_esk7_0) ),
inference(instantiation,[status(thm)],[c_452]) ).
cnf(c_1134571,plain,
( ~ perp(sk3_esk1_0,sk3_esk1_0,sk3_esk7_0,sk3_esk1_0)
| perp(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk7_0) ),
inference(instantiation,[status(thm)],[c_1134570]) ).
cnf(c_157,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| circle(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_352_0) ).
cnf(c_468,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| circle(X0,X1,X2,X3) ),
inference(copy,[status(esa)],[c_157]) ).
cnf(c_517209,plain,
( ~ cong(X0,X1,X0,sk3_esk2_0)
| ~ cong(X0,X1,X0,sk3_esk3_0)
| circle(X0,X1,sk3_esk2_0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_468]) ).
cnf(c_517210,plain,
( ~ cong(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk2_0)
| ~ cong(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk3_0)
| circle(sk3_esk1_0,sk3_esk1_0,sk3_esk2_0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_517209]) ).
cnf(c_137,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X1,X4)
| para(X0,X3,X2,X4) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_372_0) ).
cnf(c_448,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X1,X4)
| para(X0,X3,X2,X4) ),
inference(copy,[status(esa)],[c_137]) ).
cnf(c_516344,plain,
( para(sk3_esk7_0,sk3_esk4_0,X0,X1)
| ~ midp(sk3_esk7_0,X2,X0)
| ~ midp(sk3_esk4_0,X2,X1) ),
inference(instantiation,[status(thm)],[c_448]) ).
cnf(c_516345,plain,
( para(sk3_esk7_0,sk3_esk4_0,sk3_esk1_0,sk3_esk1_0)
| ~ midp(sk3_esk7_0,sk3_esk1_0,sk3_esk1_0)
| ~ midp(sk3_esk4_0,sk3_esk1_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_516344]) ).
cnf(c_160,plain,
( ~ circle(X0,X1,X2,X3)
| ~ perp(X0,X1,X1,X4)
| eqangle(X1,X4,X1,X2,X3,X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_349_0) ).
cnf(c_471,plain,
( ~ circle(X0,X1,X2,X3)
| ~ perp(X0,X1,X1,X4)
| eqangle(X1,X4,X1,X2,X3,X1,X3,X2) ),
inference(copy,[status(esa)],[c_160]) ).
cnf(c_515790,plain,
( eqangle(sk3_esk1_0,X0,sk3_esk1_0,sk3_esk2_0,sk3_esk3_0,sk3_esk1_0,sk3_esk3_0,sk3_esk2_0)
| ~ perp(X1,sk3_esk1_0,sk3_esk1_0,X0)
| ~ circle(X1,sk3_esk1_0,sk3_esk2_0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_471]) ).
cnf(c_515791,plain,
( eqangle(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk2_0,sk3_esk3_0,sk3_esk1_0,sk3_esk3_0,sk3_esk2_0)
| ~ perp(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
| ~ circle(sk3_esk1_0,sk3_esk1_0,sk3_esk2_0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_515790]) ).
cnf(c_133,plain,
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_376_0) ).
cnf(c_444,plain,
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(copy,[status(esa)],[c_133]) ).
cnf(c_348182,plain,
( coll(X0,sk3_esk7_0,X1)
| ~ para(X0,sk3_esk7_0,X0,X1) ),
inference(instantiation,[status(thm)],[c_444]) ).
cnf(c_348189,plain,
( coll(sk3_esk1_0,sk3_esk7_0,sk3_esk1_0)
| ~ para(sk3_esk1_0,sk3_esk7_0,sk3_esk1_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_348182]) ).
cnf(c_162,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_347_0) ).
cnf(c_473,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
inference(copy,[status(esa)],[c_162]) ).
cnf(c_347794,plain,
( perp(X0,X1,X1,sk3_esk6_0)
| ~ cong(X0,sk3_esk6_0,X1,sk3_esk6_0)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_473]) ).
cnf(c_347795,plain,
( perp(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk6_0)
| ~ cong(sk3_esk1_0,sk3_esk6_0,sk3_esk1_0,sk3_esk6_0)
| ~ cong(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_347794]) ).
cnf(c_347740,plain,
( perp(X0,X1,X1,sk3_esk5_0)
| ~ cong(X0,sk3_esk5_0,X1,sk3_esk5_0)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_473]) ).
cnf(c_347741,plain,
( perp(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk5_0)
| ~ cong(sk3_esk1_0,sk3_esk5_0,sk3_esk1_0,sk3_esk5_0)
| ~ cong(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_347740]) ).
cnf(c_142,plain,
( perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_367_0) ).
cnf(c_453,plain,
( perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X0,X1) ),
inference(copy,[status(esa)],[c_142]) ).
cnf(c_191189,plain,
( perp(sk3_esk1_0,sk3_esk1_0,sk3_esk3_0,sk3_esk1_0)
| ~ perp(sk3_esk3_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_453]) ).
cnf(c_191017,plain,
( perp(X0,X1,sk3_esk5_0,sk3_esk6_0)
| ~ cong(X0,sk3_esk5_0,X1,sk3_esk5_0)
| ~ cong(X0,sk3_esk6_0,X1,sk3_esk6_0) ),
inference(instantiation,[status(thm)],[c_473]) ).
cnf(c_191018,plain,
( perp(sk3_esk1_0,sk3_esk1_0,sk3_esk5_0,sk3_esk6_0)
| ~ cong(sk3_esk1_0,sk3_esk5_0,sk3_esk1_0,sk3_esk5_0)
| ~ cong(sk3_esk1_0,sk3_esk6_0,sk3_esk1_0,sk3_esk6_0) ),
inference(instantiation,[status(thm)],[c_191017]) ).
cnf(c_189813,plain,
( perp(sk3_esk1_0,sk3_esk7_0,X0,X1)
| ~ perp(X0,X1,sk3_esk1_0,sk3_esk7_0) ),
inference(instantiation,[status(thm)],[c_453]) ).
cnf(c_189815,plain,
( perp(sk3_esk1_0,sk3_esk7_0,sk3_esk1_0,sk3_esk1_0)
| ~ perp(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk7_0) ),
inference(instantiation,[status(thm)],[c_189813]) ).
cnf(c_112967,plain,
( perp(sk3_esk1_0,X0,X0,sk3_esk2_0)
| ~ perp(X0,sk3_esk2_0,sk3_esk1_0,X0) ),
inference(instantiation,[status(thm)],[c_453]) ).
cnf(c_112970,plain,
( perp(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk2_0)
| ~ perp(sk3_esk1_0,sk3_esk2_0,sk3_esk1_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_112967]) ).
cnf(c_112959,plain,
( ~ perp(sk3_esk1_0,X0,sk3_esk3_0,X0)
| perp(sk3_esk1_0,X0,X0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_452]) ).
cnf(c_112960,plain,
( perp(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk3_0)
| ~ perp(sk3_esk1_0,sk3_esk1_0,sk3_esk3_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_112959]) ).
cnf(c_112939,plain,
( ~ perp(sk3_esk7_0,sk3_esk1_0,sk3_esk1_0,X0)
| perp(sk3_esk1_0,X0,sk3_esk7_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_453]) ).
cnf(c_112942,plain,
( ~ perp(sk3_esk7_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
| perp(sk3_esk1_0,sk3_esk1_0,sk3_esk7_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_112939]) ).
cnf(c_156,plain,
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_353_0) ).
cnf(c_467,plain,
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5) ),
inference(copy,[status(esa)],[c_156]) ).
cnf(c_112923,plain,
( perp(sk3_esk2_0,sk3_esk1_0,X0,sk3_esk6_0)
| ~ perp(X1,X2,X0,sk3_esk6_0)
| ~ para(sk3_esk2_0,sk3_esk1_0,X1,X2) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_112924,plain,
( ~ perp(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk6_0)
| perp(sk3_esk2_0,sk3_esk1_0,sk3_esk1_0,sk3_esk6_0)
| ~ para(sk3_esk2_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_112923]) ).
cnf(c_112912,plain,
( perp(sk3_esk3_0,sk3_esk1_0,X0,sk3_esk5_0)
| ~ perp(X1,X2,X0,sk3_esk5_0)
| ~ para(sk3_esk3_0,sk3_esk1_0,X1,X2) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_112913,plain,
( ~ perp(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk5_0)
| perp(sk3_esk3_0,sk3_esk1_0,sk3_esk1_0,sk3_esk5_0)
| ~ para(sk3_esk3_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_112912]) ).
cnf(c_112881,plain,
( perp(X0,sk3_esk6_0,sk3_esk1_0,sk3_esk2_0)
| ~ perp(X0,sk3_esk6_0,sk3_esk2_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_452]) ).
cnf(c_112882,plain,
( perp(sk3_esk1_0,sk3_esk6_0,sk3_esk1_0,sk3_esk2_0)
| ~ perp(sk3_esk1_0,sk3_esk6_0,sk3_esk2_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_112881]) ).
cnf(c_112873,plain,
( perp(X0,sk3_esk5_0,sk3_esk1_0,sk3_esk3_0)
| ~ perp(X0,sk3_esk5_0,sk3_esk3_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_452]) ).
cnf(c_112874,plain,
( perp(sk3_esk1_0,sk3_esk5_0,sk3_esk1_0,sk3_esk3_0)
| ~ perp(sk3_esk1_0,sk3_esk5_0,sk3_esk3_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_112873]) ).
cnf(c_151,plain,
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_358_0) ).
cnf(c_462,plain,
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(copy,[status(esa)],[c_151]) ).
cnf(c_112840,plain,
( ~ coll(sk3_esk7_0,sk3_esk1_0,X0)
| ~ cong(sk3_esk7_0,sk3_esk1_0,sk3_esk7_0,X0)
| midp(sk3_esk7_0,sk3_esk1_0,X0) ),
inference(instantiation,[status(thm)],[c_462]) ).
cnf(c_112842,plain,
( ~ coll(sk3_esk7_0,sk3_esk1_0,sk3_esk1_0)
| ~ cong(sk3_esk7_0,sk3_esk1_0,sk3_esk7_0,sk3_esk1_0)
| midp(sk3_esk7_0,sk3_esk1_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_112840]) ).
cnf(c_112219,plain,
( perp(sk3_esk7_0,sk3_esk4_0,sk3_esk5_0,sk3_esk6_0)
| ~ perp(X0,X1,sk3_esk5_0,sk3_esk6_0)
| ~ para(sk3_esk7_0,sk3_esk4_0,X0,X1) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_112220,plain,
( perp(sk3_esk7_0,sk3_esk4_0,sk3_esk5_0,sk3_esk6_0)
| ~ perp(sk3_esk1_0,sk3_esk1_0,sk3_esk5_0,sk3_esk6_0)
| ~ para(sk3_esk7_0,sk3_esk4_0,sk3_esk1_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_112219]) ).
cnf(c_466,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(copy,[status(esa)],[c_155]) ).
cnf(c_112176,plain,
( ~ perp(sk3_esk2_0,X0,X1,X2)
| ~ perp(X1,X2,sk3_esk1_0,X3)
| para(sk3_esk2_0,X0,sk3_esk1_0,X3) ),
inference(instantiation,[status(thm)],[c_466]) ).
cnf(c_112177,plain,
( ~ perp(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
| ~ perp(sk3_esk2_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
| para(sk3_esk2_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_112176]) ).
cnf(c_112174,plain,
( ~ perp(sk3_esk3_0,X0,X1,X2)
| ~ perp(X1,X2,sk3_esk1_0,X3)
| para(sk3_esk3_0,X0,sk3_esk1_0,X3) ),
inference(instantiation,[status(thm)],[c_466]) ).
cnf(c_112175,plain,
( ~ perp(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
| ~ perp(sk3_esk3_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
| para(sk3_esk3_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_112174]) ).
cnf(c_154,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_355_0) ).
cnf(c_465,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(copy,[status(esa)],[c_154]) ).
cnf(c_112163,plain,
( para(sk3_esk3_0,X0,sk3_esk2_0,X1)
| ~ para(sk3_esk3_0,X0,X2,X3)
| ~ para(X2,X3,sk3_esk2_0,X1) ),
inference(instantiation,[status(thm)],[c_465]) ).
cnf(c_112164,plain,
( ~ para(sk3_esk1_0,sk3_esk1_0,sk3_esk2_0,sk3_esk1_0)
| ~ para(sk3_esk3_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
| para(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_112163]) ).
cnf(c_150,plain,
( ~ midp(X0,X1,X2)
| ~ perp(X3,X0,X1,X2)
| cong(X3,X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_359_0) ).
cnf(c_461,plain,
( ~ midp(X0,X1,X2)
| ~ perp(X3,X0,X1,X2)
| cong(X3,X1,X3,X2) ),
inference(copy,[status(esa)],[c_150]) ).
cnf(c_66091,plain,
( ~ perp(sk3_esk7_0,X0,sk3_esk1_0,X1)
| cong(sk3_esk7_0,sk3_esk1_0,sk3_esk7_0,X1)
| ~ midp(X0,sk3_esk1_0,X1) ),
inference(instantiation,[status(thm)],[c_461]) ).
cnf(c_66092,plain,
( ~ perp(sk3_esk7_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
| cong(sk3_esk7_0,sk3_esk1_0,sk3_esk7_0,sk3_esk1_0)
| ~ midp(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_66091]) ).
cnf(c_66079,plain,
( ~ perp(sk3_esk2_0,sk3_esk1_0,X0,sk3_esk6_0)
| perp(X0,sk3_esk6_0,sk3_esk2_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_453]) ).
cnf(c_66080,plain,
( perp(sk3_esk1_0,sk3_esk6_0,sk3_esk2_0,sk3_esk1_0)
| ~ perp(sk3_esk2_0,sk3_esk1_0,sk3_esk1_0,sk3_esk6_0) ),
inference(instantiation,[status(thm)],[c_66079]) ).
cnf(c_66077,plain,
( ~ perp(sk3_esk3_0,sk3_esk1_0,X0,sk3_esk5_0)
| perp(X0,sk3_esk5_0,sk3_esk3_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_453]) ).
cnf(c_66078,plain,
( perp(sk3_esk1_0,sk3_esk5_0,sk3_esk3_0,sk3_esk1_0)
| ~ perp(sk3_esk3_0,sk3_esk1_0,sk3_esk1_0,sk3_esk5_0) ),
inference(instantiation,[status(thm)],[c_66077]) ).
cnf(c_65755,plain,
( ~ para(sk3_esk5_0,sk3_esk5_0,X0,X1)
| ~ para(sk3_esk1_0,sk3_esk1_0,sk3_esk5_0,sk3_esk5_0)
| para(sk3_esk1_0,sk3_esk1_0,X0,X1) ),
inference(instantiation,[status(thm)],[c_465]) ).
cnf(c_65758,plain,
( ~ para(sk3_esk5_0,sk3_esk5_0,sk3_esk1_0,sk3_esk1_0)
| ~ para(sk3_esk1_0,sk3_esk1_0,sk3_esk5_0,sk3_esk5_0)
| para(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_65755]) ).
cnf(c_65746,plain,
( ~ perp(sk3_esk5_0,sk3_esk4_0,X0,X1)
| perp(sk3_esk1_0,sk3_esk2_0,X0,X1)
| ~ para(sk3_esk1_0,sk3_esk2_0,sk3_esk5_0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_65747,plain,
( ~ perp(sk3_esk5_0,sk3_esk4_0,sk3_esk1_0,sk3_esk1_0)
| perp(sk3_esk1_0,sk3_esk2_0,sk3_esk1_0,sk3_esk1_0)
| ~ para(sk3_esk1_0,sk3_esk2_0,sk3_esk5_0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_65746]) ).
cnf(c_65736,plain,
( perp(sk3_esk5_0,sk3_esk4_0,X0,X1)
| ~ perp(sk3_esk2_0,sk3_esk1_0,X0,X1)
| ~ para(sk3_esk5_0,sk3_esk4_0,sk3_esk2_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_65737,plain,
( perp(sk3_esk5_0,sk3_esk4_0,sk3_esk1_0,sk3_esk1_0)
| ~ perp(sk3_esk2_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
| ~ para(sk3_esk5_0,sk3_esk4_0,sk3_esk2_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_65736]) ).
cnf(c_140,plain,
( para(X0,X1,X2,X3)
| ~ para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_369_0) ).
cnf(c_451,plain,
( para(X0,X1,X2,X3)
| ~ para(X2,X3,X0,X1) ),
inference(copy,[status(esa)],[c_140]) ).
cnf(c_24503,plain,
( ~ para(sk3_esk5_0,sk3_esk5_0,sk3_esk1_0,sk3_esk1_0)
| para(sk3_esk1_0,sk3_esk1_0,sk3_esk5_0,sk3_esk5_0) ),
inference(instantiation,[status(thm)],[c_451]) ).
cnf(c_24494,plain,
( ~ para(sk3_esk5_0,sk3_esk4_0,sk3_esk1_0,sk3_esk2_0)
| para(sk3_esk1_0,sk3_esk2_0,sk3_esk5_0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_451]) ).
cnf(c_139,plain,
( para(X0,X1,X2,X3)
| ~ para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_370_0) ).
cnf(c_450,plain,
( para(X0,X1,X2,X3)
| ~ para(X0,X1,X3,X2) ),
inference(copy,[status(esa)],[c_139]) ).
cnf(c_24493,plain,
( ~ para(sk3_esk5_0,sk3_esk4_0,sk3_esk1_0,sk3_esk2_0)
| para(sk3_esk5_0,sk3_esk4_0,sk3_esk2_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_450]) ).
cnf(c_23777,plain,
( para(sk3_esk5_0,X0,sk3_esk1_0,X1)
| ~ midp(sk3_esk5_0,sk3_esk3_0,sk3_esk1_0)
| ~ midp(X0,sk3_esk3_0,X1) ),
inference(instantiation,[status(thm)],[c_448]) ).
cnf(c_24454,plain,
( para(sk3_esk5_0,sk3_esk5_0,sk3_esk1_0,sk3_esk1_0)
| ~ midp(sk3_esk5_0,sk3_esk3_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_23777]) ).
cnf(c_24453,plain,
( para(sk3_esk5_0,sk3_esk4_0,sk3_esk1_0,sk3_esk2_0)
| ~ midp(sk3_esk4_0,sk3_esk3_0,sk3_esk2_0)
| ~ midp(sk3_esk5_0,sk3_esk3_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_23777]) ).
cnf(c_24374,plain,
( ~ cong(sk3_esk6_0,sk3_esk2_0,sk3_esk6_0,sk3_esk1_0)
| ~ cong(sk3_esk6_0,sk3_esk2_0,sk3_esk6_0,X0)
| circle(sk3_esk6_0,sk3_esk2_0,sk3_esk1_0,X0) ),
inference(instantiation,[status(thm)],[c_468]) ).
cnf(c_24375,plain,
( ~ cong(sk3_esk6_0,sk3_esk2_0,sk3_esk6_0,sk3_esk1_0)
| circle(sk3_esk6_0,sk3_esk2_0,sk3_esk1_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_24374]) ).
cnf(c_24328,plain,
( ~ cong(sk3_esk5_0,sk3_esk3_0,sk3_esk5_0,sk3_esk1_0)
| ~ cong(sk3_esk5_0,sk3_esk3_0,sk3_esk5_0,X0)
| circle(sk3_esk5_0,sk3_esk3_0,sk3_esk1_0,X0) ),
inference(instantiation,[status(thm)],[c_468]) ).
cnf(c_24329,plain,
( ~ cong(sk3_esk5_0,sk3_esk3_0,sk3_esk5_0,sk3_esk1_0)
| circle(sk3_esk5_0,sk3_esk3_0,sk3_esk1_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_24328]) ).
cnf(c_149,plain,
( ~ circle(X0,X1,X2,X3)
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_360_0) ).
cnf(c_460,plain,
( ~ circle(X0,X1,X2,X3)
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(copy,[status(esa)],[c_149]) ).
cnf(c_24261,plain,
( ~ coll(sk3_esk6_0,sk3_esk2_0,sk3_esk1_0)
| perp(sk3_esk2_0,X0,X0,sk3_esk1_0)
| ~ circle(sk3_esk6_0,sk3_esk2_0,X0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_460]) ).
cnf(c_24262,plain,
( ~ coll(sk3_esk6_0,sk3_esk2_0,sk3_esk1_0)
| perp(sk3_esk2_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
| ~ circle(sk3_esk6_0,sk3_esk2_0,sk3_esk1_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_24261]) ).
cnf(c_24221,plain,
( ~ coll(sk3_esk5_0,sk3_esk3_0,sk3_esk1_0)
| perp(sk3_esk3_0,X0,X0,sk3_esk1_0)
| ~ circle(sk3_esk5_0,sk3_esk3_0,X0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_460]) ).
cnf(c_24222,plain,
( ~ coll(sk3_esk5_0,sk3_esk3_0,sk3_esk1_0)
| perp(sk3_esk3_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
| ~ circle(sk3_esk5_0,sk3_esk3_0,sk3_esk1_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_24221]) ).
cnf(c_148,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_361_0) ).
cnf(c_459,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(copy,[status(esa)],[c_148]) ).
cnf(c_24142,plain,
( ~ perp(sk3_esk1_0,X0,X0,sk3_esk2_0)
| cong(sk3_esk1_0,sk3_esk6_0,X0,sk3_esk6_0)
| ~ midp(sk3_esk6_0,sk3_esk1_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_459]) ).
cnf(c_24143,plain,
( ~ perp(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk2_0)
| cong(sk3_esk1_0,sk3_esk6_0,sk3_esk1_0,sk3_esk6_0)
| ~ midp(sk3_esk6_0,sk3_esk1_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_24142]) ).
cnf(c_24108,plain,
( ~ perp(X0,sk3_esk6_0,sk3_esk1_0,sk3_esk2_0)
| cong(X0,sk3_esk1_0,X0,sk3_esk2_0)
| ~ midp(sk3_esk6_0,sk3_esk1_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_461]) ).
cnf(c_24115,plain,
( ~ perp(sk3_esk1_0,sk3_esk6_0,sk3_esk1_0,sk3_esk2_0)
| cong(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk2_0)
| ~ midp(sk3_esk6_0,sk3_esk1_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_24108]) ).
cnf(c_138,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_371_0) ).
cnf(c_449,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X1,X3,X2,X4) ),
inference(copy,[status(esa)],[c_138]) ).
cnf(c_24109,plain,
( para(sk3_esk1_0,X0,sk3_esk2_0,X1)
| ~ midp(sk3_esk6_0,sk3_esk1_0,sk3_esk2_0)
| ~ midp(sk3_esk6_0,X0,X1) ),
inference(instantiation,[status(thm)],[c_449]) ).
cnf(c_24114,plain,
( para(sk3_esk1_0,sk3_esk1_0,sk3_esk2_0,sk3_esk1_0)
| ~ midp(sk3_esk6_0,sk3_esk1_0,sk3_esk1_0)
| ~ midp(sk3_esk6_0,sk3_esk1_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_24109]) ).
cnf(c_24083,plain,
( ~ perp(sk3_esk1_0,X0,X0,sk3_esk3_0)
| cong(sk3_esk1_0,sk3_esk5_0,X0,sk3_esk5_0)
| ~ midp(sk3_esk5_0,sk3_esk1_0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_459]) ).
cnf(c_24084,plain,
( ~ perp(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk3_0)
| cong(sk3_esk1_0,sk3_esk5_0,sk3_esk1_0,sk3_esk5_0)
| ~ midp(sk3_esk5_0,sk3_esk1_0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_24083]) ).
cnf(c_24049,plain,
( ~ perp(X0,sk3_esk5_0,sk3_esk1_0,sk3_esk3_0)
| cong(X0,sk3_esk1_0,X0,sk3_esk3_0)
| ~ midp(sk3_esk5_0,sk3_esk1_0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_461]) ).
cnf(c_24056,plain,
( ~ perp(sk3_esk1_0,sk3_esk5_0,sk3_esk1_0,sk3_esk3_0)
| cong(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk3_0)
| ~ midp(sk3_esk5_0,sk3_esk1_0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_24049]) ).
cnf(c_187,plain,
( ~ circle(X0,X1,X2,X3)
| ~ eqangle(X1,X4,X1,X2,X3,X1,X3,X2)
| perp(X0,X1,X1,X4) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_322_0) ).
cnf(c_498,plain,
( ~ circle(X0,X1,X2,X3)
| ~ eqangle(X1,X4,X1,X2,X3,X1,X3,X2)
| perp(X0,X1,X1,X4) ),
inference(copy,[status(esa)],[c_187]) ).
cnf(c_23902,plain,
( ~ eqangle(sk3_esk1_0,X0,sk3_esk1_0,sk3_esk2_0,sk3_esk3_0,sk3_esk1_0,sk3_esk3_0,sk3_esk2_0)
| perp(sk3_esk7_0,sk3_esk1_0,sk3_esk1_0,X0)
| ~ circle(sk3_esk7_0,sk3_esk1_0,sk3_esk2_0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_498]) ).
cnf(c_23903,plain,
( ~ eqangle(sk3_esk1_0,sk3_esk1_0,sk3_esk1_0,sk3_esk2_0,sk3_esk3_0,sk3_esk1_0,sk3_esk3_0,sk3_esk2_0)
| perp(sk3_esk7_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
| ~ circle(sk3_esk7_0,sk3_esk1_0,sk3_esk2_0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_23902]) ).
cnf(c_153,plain,
( ~ midp(X0,X1,X2)
| ~ para(X1,X3,X2,X4)
| ~ para(X1,X4,X2,X3)
| midp(X0,X3,X4) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_356_0) ).
cnf(c_464,plain,
( ~ midp(X0,X1,X2)
| ~ para(X1,X3,X2,X4)
| ~ para(X1,X4,X2,X3)
| midp(X0,X3,X4) ),
inference(copy,[status(esa)],[c_153]) ).
cnf(c_23826,plain,
( ~ para(sk3_esk2_0,X0,sk3_esk1_0,X1)
| ~ para(sk3_esk2_0,X1,sk3_esk1_0,X0)
| ~ midp(sk3_esk6_0,sk3_esk2_0,sk3_esk1_0)
| midp(sk3_esk6_0,X0,X1) ),
inference(instantiation,[status(thm)],[c_464]) ).
cnf(c_23827,plain,
( ~ para(sk3_esk2_0,sk3_esk1_0,sk3_esk1_0,sk3_esk1_0)
| midp(sk3_esk6_0,sk3_esk1_0,sk3_esk1_0)
| ~ midp(sk3_esk6_0,sk3_esk2_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_23826]) ).
cnf(c_23822,plain,
( ~ para(sk3_esk3_0,X0,sk3_esk2_0,X1)
| ~ para(sk3_esk3_0,X1,sk3_esk2_0,X0)
| ~ midp(sk3_esk4_0,sk3_esk3_0,sk3_esk2_0)
| midp(sk3_esk4_0,X0,X1) ),
inference(instantiation,[status(thm)],[c_464]) ).
cnf(c_23823,plain,
( ~ para(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0,sk3_esk1_0)
| midp(sk3_esk4_0,sk3_esk1_0,sk3_esk1_0)
| ~ midp(sk3_esk4_0,sk3_esk3_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_23822]) ).
cnf(c_136,plain,
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_373_0) ).
cnf(c_447,plain,
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(copy,[status(esa)],[c_136]) ).
cnf(c_23774,plain,
( cong(sk3_esk6_0,sk3_esk2_0,sk3_esk6_0,sk3_esk1_0)
| ~ midp(sk3_esk6_0,sk3_esk2_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_447]) ).
cnf(c_23773,plain,
( cong(sk3_esk5_0,sk3_esk3_0,sk3_esk5_0,sk3_esk1_0)
| ~ midp(sk3_esk5_0,sk3_esk3_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_447]) ).
cnf(c_134,plain,
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_375_0) ).
cnf(c_445,plain,
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(copy,[status(esa)],[c_134]) ).
cnf(c_23771,plain,
( coll(sk3_esk6_0,sk3_esk2_0,sk3_esk1_0)
| ~ midp(sk3_esk6_0,sk3_esk2_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_445]) ).
cnf(c_23770,plain,
( coll(sk3_esk5_0,sk3_esk3_0,sk3_esk1_0)
| ~ midp(sk3_esk5_0,sk3_esk3_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_445]) ).
cnf(c_132,plain,
( midp(X0,X1,X2)
| ~ midp(X0,X2,X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_377_0) ).
cnf(c_443,plain,
( midp(X0,X1,X2)
| ~ midp(X0,X2,X1) ),
inference(copy,[status(esa)],[c_132]) ).
cnf(c_23768,plain,
( midp(sk3_esk6_0,sk3_esk1_0,sk3_esk2_0)
| ~ midp(sk3_esk6_0,sk3_esk2_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_443]) ).
cnf(c_23767,plain,
( midp(sk3_esk5_0,sk3_esk1_0,sk3_esk3_0)
| ~ midp(sk3_esk5_0,sk3_esk3_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_443]) ).
cnf(c_242,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_236,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_163,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| ~ cyclic(X0,X2,X1,X3)
| perp(X1,X0,X0,X3) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_346_0) ).
cnf(c_231,plain,
( perp(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_163]) ).
cnf(c_180,plain,
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_329_0) ).
cnf(c_222,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_186,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ coll(X0,X3,X2)
| cyclic(X1,X2,X0,X3) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_323_0) ).
cnf(c_216,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/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_315_0) ).
cnf(c_212,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,
~ perp(sk3_esk7_0,sk3_esk4_0,sk3_esk5_0,sk3_esk6_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_8) ).
cnf(c_207,negated_conjecture,
circle(sk3_esk7_0,sk3_esk1_0,sk3_esk2_0,sk3_esk3_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_9) ).
cnf(c_208,negated_conjecture,
midp(sk3_esk4_0,sk3_esk3_0,sk3_esk2_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_10) ).
cnf(c_209,negated_conjecture,
midp(sk3_esk5_0,sk3_esk3_0,sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_11) ).
cnf(c_210,negated_conjecture,
midp(sk3_esk6_0,sk3_esk2_0,sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p',c_0_12) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_2776066,c_2775403,c_1134571,c_517210,c_516345,c_515791,c_348189,c_347795,c_347741,c_191189,c_191018,c_189815,c_112970,c_112960,c_112942,c_112924,c_112913,c_112882,c_112874,c_112842,c_112220,c_112177,c_112175,c_112164,c_66092,c_66080,c_66078,c_65758,c_65747,c_65737,c_24503,c_24494,c_24493,c_24454,c_24453,c_24375,c_24329,c_24262,c_24222,c_24143,c_24115,c_24114,c_24084,c_24056,c_23903,c_23827,c_23823,c_23774,c_23773,c_23771,c_23770,c_23768,c_23767,c_242,c_236,c_231,c_222,c_216,c_212,c_206,c_207,c_208,c_209,c_210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO542+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.14 % Command : iprover_modulo %s %d
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 08:32:58 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running in mono-core mode
% 0.22/0.45 % Orienting using strategy Equiv(ClausalAll)
% 0.22/0.45 % FOF problem with conjecture
% 0.22/0.45 % 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/sandbox2/tmp/iprover_proof_cfceba.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_8b56b7.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_f1c48f | grep -v "SZS"
% 0.22/0.48
% 0.22/0.48 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.22/0.48
% 0.22/0.48 %
% 0.22/0.48 % ------ iProver source info
% 0.22/0.48
% 0.22/0.48 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.22/0.48 % git: non_committed_changes: true
% 0.22/0.48 % git: last_make_outside_of_git: true
% 0.22/0.48
% 0.22/0.48 %
% 0.22/0.48 % ------ Input Options
% 0.22/0.48
% 0.22/0.48 % --out_options all
% 0.22/0.48 % --tptp_safe_out true
% 0.22/0.48 % --problem_path ""
% 0.22/0.48 % --include_path ""
% 0.22/0.48 % --clausifier .//eprover
% 0.22/0.48 % --clausifier_options --tstp-format
% 0.22/0.48 % --stdin false
% 0.22/0.48 % --dbg_backtrace false
% 0.22/0.48 % --dbg_dump_prop_clauses false
% 0.22/0.48 % --dbg_dump_prop_clauses_file -
% 0.22/0.48 % --dbg_out_stat false
% 0.22/0.48
% 0.22/0.48 % ------ General Options
% 0.22/0.48
% 0.22/0.48 % --fof false
% 0.22/0.48 % --time_out_real 150.
% 0.22/0.48 % --time_out_prep_mult 0.2
% 0.22/0.48 % --time_out_virtual -1.
% 0.22/0.48 % --schedule none
% 0.22/0.48 % --ground_splitting input
% 0.22/0.48 % --splitting_nvd 16
% 0.22/0.48 % --non_eq_to_eq false
% 0.22/0.48 % --prep_gs_sim true
% 0.22/0.48 % --prep_unflatten false
% 0.22/0.48 % --prep_res_sim true
% 0.22/0.48 % --prep_upred true
% 0.22/0.48 % --res_sim_input true
% 0.22/0.48 % --clause_weak_htbl true
% 0.22/0.48 % --gc_record_bc_elim false
% 0.22/0.48 % --symbol_type_check false
% 0.22/0.48 % --clausify_out false
% 0.22/0.48 % --large_theory_mode false
% 0.22/0.48 % --prep_sem_filter none
% 0.22/0.48 % --prep_sem_filter_out false
% 0.22/0.48 % --preprocessed_out false
% 0.22/0.48 % --sub_typing false
% 0.22/0.48 % --brand_transform false
% 0.22/0.48 % --pure_diseq_elim true
% 0.22/0.48 % --min_unsat_core false
% 0.22/0.48 % --pred_elim true
% 0.22/0.48 % --add_important_lit false
% 0.22/0.48 % --soft_assumptions false
% 0.22/0.48 % --reset_solvers false
% 0.22/0.48 % --bc_imp_inh []
% 0.22/0.48 % --conj_cone_tolerance 1.5
% 0.22/0.48 % --prolific_symb_bound 500
% 0.22/0.48 % --lt_threshold 2000
% 0.22/0.48
% 0.22/0.48 % ------ SAT Options
% 0.22/0.48
% 0.22/0.48 % --sat_mode false
% 0.22/0.48 % --sat_fm_restart_options ""
% 0.22/0.48 % --sat_gr_def false
% 0.22/0.48 % --sat_epr_types true
% 0.22/0.48 % --sat_non_cyclic_types false
% 0.22/0.48 % --sat_finite_models false
% 0.22/0.48 % --sat_fm_lemmas false
% 0.22/0.48 % --sat_fm_prep false
% 0.22/0.48 % --sat_fm_uc_incr true
% 0.22/0.48 % --sat_out_model small
% 0.22/0.48 % --sat_out_clauses false
% 0.22/0.48
% 0.22/0.48 % ------ QBF Options
% 0.22/0.48
% 0.22/0.48 % --qbf_mode false
% 0.22/0.48 % --qbf_elim_univ true
% 0.22/0.48 % --qbf_sk_in true
% 0.22/0.48 % --qbf_pred_elim true
% 0.22/0.48 % --qbf_split 32
% 0.22/0.48
% 0.22/0.48 % ------ BMC1 Options
% 0.22/0.48
% 0.22/0.48 % --bmc1_incremental false
% 0.22/0.48 % --bmc1_axioms reachable_all
% 0.22/0.48 % --bmc1_min_bound 0
% 0.22/0.48 % --bmc1_max_bound -1
% 0.22/0.48 % --bmc1_max_bound_default -1
% 0.22/0.48 % --bmc1_symbol_reachability true
% 0.22/0.48 % --bmc1_property_lemmas false
% 0.22/0.48 % --bmc1_k_induction false
% 0.22/0.48 % --bmc1_non_equiv_states false
% 0.22/0.48 % --bmc1_deadlock false
% 0.22/0.48 % --bmc1_ucm false
% 0.22/0.48 % --bmc1_add_unsat_core none
% 0.22/0.48 % --bmc1_unsat_core_children false
% 0.22/0.48 % --bmc1_unsat_core_extrapolate_axioms false
% 0.22/0.48 % --bmc1_out_stat full
% 0.22/0.48 % --bmc1_ground_init false
% 0.22/0.48 % --bmc1_pre_inst_next_state false
% 0.22/0.48 % --bmc1_pre_inst_state false
% 0.22/0.48 % --bmc1_pre_inst_reach_state false
% 0.22/0.48 % --bmc1_out_unsat_core false
% 0.22/0.48 % --bmc1_aig_witness_out false
% 0.22/0.48 % --bmc1_verbose false
% 0.22/0.48 % --bmc1_dump_clauses_tptp false
% 0.22/0.51 % --bmc1_dump_unsat_core_tptp false
% 0.22/0.51 % --bmc1_dump_file -
% 0.22/0.51 % --bmc1_ucm_expand_uc_limit 128
% 0.22/0.51 % --bmc1_ucm_n_expand_iterations 6
% 0.22/0.51 % --bmc1_ucm_extend_mode 1
% 0.22/0.51 % --bmc1_ucm_init_mode 2
% 0.22/0.51 % --bmc1_ucm_cone_mode none
% 0.22/0.51 % --bmc1_ucm_reduced_relation_type 0
% 0.22/0.51 % --bmc1_ucm_relax_model 4
% 0.22/0.51 % --bmc1_ucm_full_tr_after_sat true
% 0.22/0.51 % --bmc1_ucm_expand_neg_assumptions false
% 0.22/0.51 % --bmc1_ucm_layered_model none
% 0.22/0.51 % --bmc1_ucm_max_lemma_size 10
% 0.22/0.51
% 0.22/0.51 % ------ AIG Options
% 0.22/0.51
% 0.22/0.51 % --aig_mode false
% 0.22/0.51
% 0.22/0.51 % ------ Instantiation Options
% 0.22/0.51
% 0.22/0.51 % --instantiation_flag true
% 0.22/0.51 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.22/0.51 % --inst_solver_per_active 750
% 0.22/0.51 % --inst_solver_calls_frac 0.5
% 0.22/0.51 % --inst_passive_queue_type priority_queues
% 0.22/0.51 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.22/0.51 % --inst_passive_queues_freq [25;2]
% 0.22/0.51 % --inst_dismatching true
% 0.22/0.51 % --inst_eager_unprocessed_to_passive true
% 0.22/0.51 % --inst_prop_sim_given true
% 0.22/0.51 % --inst_prop_sim_new false
% 0.22/0.51 % --inst_orphan_elimination true
% 0.22/0.51 % --inst_learning_loop_flag true
% 0.22/0.51 % --inst_learning_start 3000
% 0.22/0.51 % --inst_learning_factor 2
% 0.22/0.51 % --inst_start_prop_sim_after_learn 3
% 0.22/0.51 % --inst_sel_renew solver
% 0.22/0.51 % --inst_lit_activity_flag true
% 0.22/0.51 % --inst_out_proof true
% 0.22/0.51
% 0.22/0.51 % ------ Resolution Options
% 0.22/0.51
% 0.22/0.51 % --resolution_flag true
% 0.22/0.51 % --res_lit_sel kbo_max
% 0.22/0.51 % --res_to_prop_solver none
% 0.22/0.51 % --res_prop_simpl_new false
% 0.22/0.51 % --res_prop_simpl_given false
% 0.22/0.51 % --res_passive_queue_type priority_queues
% 0.22/0.51 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.22/0.51 % --res_passive_queues_freq [15;5]
% 0.22/0.51 % --res_forward_subs full
% 0.22/0.51 % --res_backward_subs full
% 0.22/0.51 % --res_forward_subs_resolution true
% 0.22/0.51 % --res_backward_subs_resolution true
% 0.22/0.51 % --res_orphan_elimination false
% 0.22/0.51 % --res_time_limit 1000.
% 0.22/0.51 % --res_out_proof true
% 0.22/0.51 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_cfceba.s
% 0.22/0.51 % --modulo true
% 0.22/0.51
% 0.22/0.51 % ------ Combination Options
% 0.22/0.51
% 0.22/0.51 % --comb_res_mult 1000
% 0.22/0.51 % --comb_inst_mult 300
% 0.22/0.51 % ------
% 0.22/0.51
% 0.22/0.51 % ------ Parsing...% successful
% 0.22/0.51
% 0.22/0.51 % ------ 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 %
% 0.22/0.51
% 0.22/0.51 % ------ Proving...
% 0.22/0.51 % ------ Problem Properties
% 0.22/0.51
% 0.22/0.51 %
% 0.22/0.51 % EPR false
% 0.22/0.51 % Horn false
% 0.22/0.51 % Has equality true
% 0.22/0.51
% 0.22/0.51 % % ------ Input Options Time Limit: Unbounded
% 0.22/0.51
% 0.22/0.51
% 0.22/0.51 % % ------ Current options:
% 0.22/0.51
% 0.22/0.51 % ------ Input Options
% 0.22/0.51
% 0.22/0.51 % --out_options all
% 0.22/0.51 % --tptp_safe_out true
% 0.22/0.51 % --problem_path ""
% 0.22/0.51 % --include_path ""
% 0.22/0.51 % --clausifier .//eprover
% 0.22/0.51 % --clausifier_options --tstp-format
% 0.22/0.51 % --stdin false
% 0.22/0.51 % --dbg_backtrace false
% 0.22/0.51 % --dbg_dump_prop_clauses false
% 0.22/0.51 % --dbg_dump_prop_clauses_file -
% 0.22/0.51 % --dbg_out_stat false
% 0.22/0.51
% 0.22/0.51 % ------ General Options
% 0.22/0.51
% 0.22/0.51 % --fof false
% 0.22/0.51 % --time_out_real 150.
% 0.22/0.51 % --time_out_prep_mult 0.2
% 0.22/0.51 % --time_out_virtual -1.
% 0.22/0.51 % --schedule none
% 0.22/0.51 % --ground_splitting input
% 0.22/0.51 % --splitting_nvd 16
% 0.22/0.51 % --non_eq_to_eq false
% 0.22/0.51 % --prep_gs_sim true
% 0.22/0.51 % --prep_unflatten false
% 0.22/0.51 % --prep_res_sim true
% 0.22/0.51 % --prep_upred true
% 0.22/0.51 % --res_sim_input true
% 0.22/0.51 % --clause_weak_htbl true
% 0.22/0.51 % --gc_record_bc_elim false
% 0.22/0.51 % --symbol_type_check false
% 0.22/0.51 % --clausify_out false
% 0.22/0.51 % --large_theory_mode false
% 0.22/0.51 % --prep_sem_filter none
% 0.22/0.51 % --prep_sem_filter_out false
% 0.22/0.51 % --preprocessed_out false
% 0.22/0.51 % --sub_typing false
% 0.22/0.51 % --brand_transform false
% 0.22/0.51 % --pure_diseq_elim true
% 0.22/0.51 % --min_unsat_core false
% 0.22/0.51 % --pred_elim true
% 0.22/0.51 % --add_important_lit false
% 0.22/0.51 % --soft_assumptions false
% 0.22/0.51 % --reset_solvers false
% 0.22/0.51 % --bc_imp_inh []
% 0.22/0.51 % --conj_cone_tolerance 1.5
% 0.22/0.51 % --prolific_symb_bound 500
% 0.22/0.51 % --lt_threshold 2000
% 0.22/0.51
% 0.22/0.51 % ------ SAT Options
% 0.22/0.51
% 0.22/0.51 % --sat_mode false
% 0.22/0.51 % --sat_fm_restart_options ""
% 0.22/0.51 % --sat_gr_def false
% 0.22/0.51 % --sat_epr_types true
% 0.22/0.51 % --sat_non_cyclic_types false
% 0.22/0.51 % --sat_finite_models false
% 0.22/0.51 % --sat_fm_lemmas false
% 0.22/0.51 % --sat_fm_prep false
% 0.22/0.51 % --sat_fm_uc_incr true
% 0.22/0.51 % --sat_out_model small
% 0.22/0.51 % --sat_out_clauses false
% 0.22/0.51
% 0.22/0.51 % ------ QBF Options
% 0.22/0.51
% 0.22/0.51 % --qbf_mode false
% 0.22/0.51 % --qbf_elim_univ true
% 0.22/0.51 % --qbf_sk_in true
% 0.22/0.51 % --qbf_pred_elim true
% 0.22/0.51 % --qbf_split 32
% 0.22/0.51
% 0.22/0.51 % ------ BMC1 Options
% 0.22/0.51
% 0.22/0.51 % --bmc1_incremental false
% 0.22/0.51 % --bmc1_axioms reachable_all
% 0.22/0.51 % --bmc1_min_bound 0
% 0.22/0.51 % --bmc1_max_bound -1
% 0.22/0.51 % --bmc1_max_bound_default -1
% 0.22/0.51 % --bmc1_symbol_reachability true
% 0.22/0.51 % --bmc1_property_lemmas false
% 0.22/0.51 % --bmc1_k_induction false
% 0.22/0.51 % --bmc1_non_equiv_states false
% 0.22/0.51 % --bmc1_deadlock false
% 0.22/0.51 % --bmc1_ucm false
% 0.22/0.51 % --bmc1_add_unsat_core none
% 0.22/0.51 % --bmc1_unsat_core_children false
% 0.22/0.51 % --bmc1_unsat_core_extrapolate_axioms false
% 0.22/0.51 % --bmc1_out_stat full
% 0.22/0.51 % --bmc1_ground_init false
% 0.22/0.51 % --bmc1_pre_inst_next_state false
% 0.22/0.51 % --bmc1_pre_inst_state false
% 0.22/0.51 % --bmc1_pre_inst_reach_state false
% 0.22/0.51 % --bmc1_out_unsat_core false
% 0.22/0.51 % --bmc1_aig_witness_out false
% 0.22/0.51 % --bmc1_verbose false
% 0.22/0.51 % --bmc1_dump_clauses_tptp false
% 0.22/0.51 % --bmc1_dump_unsat_core_tptp false
% 0.22/0.51 % --bmc1_dump_file -
% 0.22/0.51 % --bmc1_ucm_expand_uc_limit 128
% 0.22/0.51 % --bmc1_ucm_n_expand_iterations 6
% 0.22/0.51 % --bmc1_ucm_extend_mode 1
% 0.22/0.51 % --bmc1_ucm_init_mode 2
% 0.22/0.51 % --bmc1_ucm_cone_mode none
% 0.22/0.51 % --bmc1_ucm_reduced_relation_type 0
% 0.22/0.51 % --bmc1_ucm_relax_model 4
% 0.22/0.51 % --bmc1_ucm_full_tr_after_sat true
% 0.22/0.51 % --bmc1_ucm_expand_neg_assumptions false
% 0.22/0.51 % --bmc1_ucm_layered_model none
% 0.22/0.51 % --bmc1_ucm_max_lemma_size 10
% 0.22/0.51
% 0.22/0.51 % ------ AIG Options
% 0.22/0.51
% 0.22/0.51 % --aig_mode false
% 0.22/0.51
% 0.22/0.51 % ------ Instantiation Options
% 0.22/0.51
% 0.22/0.51 % --instantiation_flag true
% 0.22/0.51 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.22/0.51 % --inst_solver_per_active 750
% 0.22/0.51 % --inst_solver_calls_frac 0.5
% 0.22/0.51 % --inst_passive_queue_type priority_queues
% 0.22/0.51 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.22/0.51 % --inst_passive_queues_freq [25;2]
% 0.22/0.51 % --inst_dismatching true
% 0.22/0.51 % --inst_eager_unprocessed_to_passive true
% 0.22/0.51 % --inst_prop_sim_given true
% 139.16/139.38 % --inst_prop_sim_new false
% 139.16/139.38 % --inst_orphan_elimination true
% 139.16/139.38 % --inst_learning_loop_flag true
% 139.16/139.38 % --inst_learning_start 3000
% 139.16/139.38 % --inst_learning_factor 2
% 139.16/139.38 % --inst_start_prop_sim_after_learn 3
% 139.16/139.38 % --inst_sel_renew solver
% 139.16/139.38 % --inst_lit_activity_flag true
% 139.16/139.38 % --inst_out_proof true
% 139.16/139.38
% 139.16/139.38 % ------ Resolution Options
% 139.16/139.38
% 139.16/139.38 % --resolution_flag true
% 139.16/139.38 % --res_lit_sel kbo_max
% 139.16/139.38 % --res_to_prop_solver none
% 139.16/139.38 % --res_prop_simpl_new false
% 139.16/139.38 % --res_prop_simpl_given false
% 139.16/139.38 % --res_passive_queue_type priority_queues
% 139.16/139.38 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 139.16/139.38 % --res_passive_queues_freq [15;5]
% 139.16/139.38 % --res_forward_subs full
% 139.16/139.38 % --res_backward_subs full
% 139.16/139.38 % --res_forward_subs_resolution true
% 139.16/139.38 % --res_backward_subs_resolution true
% 139.16/139.38 % --res_orphan_elimination false
% 139.16/139.38 % --res_time_limit 1000.
% 139.16/139.38 % --res_out_proof true
% 139.16/139.38 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_cfceba.s
% 139.16/139.38 % --modulo true
% 139.16/139.38
% 139.16/139.38 % ------ Combination Options
% 139.16/139.38
% 139.16/139.38 % --comb_res_mult 1000
% 139.16/139.38 % --comb_inst_mult 300
% 139.16/139.38 % ------
% 139.16/139.38
% 139.16/139.38
% 139.16/139.38
% 139.16/139.38 % ------ Proving...
% 139.16/139.38 %
% 139.16/139.38
% 139.16/139.38
% 139.16/139.38 % ------ Statistics
% 139.16/139.38
% 139.16/139.38 % ------ General
% 139.16/139.38
% 139.16/139.38 % num_of_input_clauses: 211
% 139.16/139.38 % num_of_input_neg_conjectures: 5
% 139.16/139.38 % num_of_splits: 0
% 139.16/139.38 % num_of_split_atoms: 0
% 139.16/139.38 % num_of_sem_filtered_clauses: 0
% 139.16/139.38 % num_of_subtypes: 0
% 139.16/139.38 % monotx_restored_types: 0
% 139.16/139.38 % sat_num_of_epr_types: 0
% 139.16/139.38 % sat_num_of_non_cyclic_types: 0
% 139.16/139.38 % sat_guarded_non_collapsed_types: 0
% 139.16/139.38 % is_epr: 0
% 139.16/139.38 % is_horn: 0
% 139.16/139.38 % has_eq: 1
% 139.16/139.38 % num_pure_diseq_elim: 0
% 139.16/139.38 % simp_replaced_by: 0
% 139.16/139.38 % res_preprocessed: 10
% 139.16/139.38 % prep_upred: 0
% 139.16/139.38 % prep_unflattend: 0
% 139.16/139.38 % pred_elim_cands: 0
% 139.16/139.38 % pred_elim: 0
% 139.16/139.38 % pred_elim_cl: 0
% 139.16/139.38 % pred_elim_cycles: 0
% 139.16/139.38 % forced_gc_time: 0
% 139.16/139.38 % gc_basic_clause_elim: 0
% 139.16/139.38 % parsing_time: 0.012
% 139.16/139.38 % sem_filter_time: 0.
% 139.16/139.38 % pred_elim_time: 0.
% 139.16/139.38 % out_proof_time: 0.005
% 139.16/139.38 % monotx_time: 0.
% 139.16/139.38 % subtype_inf_time: 0.
% 139.16/139.38 % unif_index_cands_time: 0.205
% 139.16/139.38 % unif_index_add_time: 0.026
% 139.16/139.38 % total_time: 138.917
% 139.16/139.38 % num_of_symbols: 63
% 139.16/139.38 % num_of_terms: 125687
% 139.16/139.38
% 139.16/139.38 % ------ Propositional Solver
% 139.16/139.38
% 139.16/139.38 % prop_solver_calls: 20
% 139.16/139.38 % prop_fast_solver_calls: 15
% 139.16/139.38 % prop_num_of_clauses: 21338
% 139.16/139.38 % prop_preprocess_simplified: 19368
% 139.16/139.38 % prop_fo_subsumed: 0
% 139.16/139.38 % prop_solver_time: 0.01
% 139.16/139.38 % prop_fast_solver_time: 0.
% 139.16/139.38 % prop_unsat_core_time: 0.002
% 139.16/139.38
% 139.16/139.38 % ------ QBF
% 139.16/139.38
% 139.16/139.38 % qbf_q_res: 0
% 139.16/139.38 % qbf_num_tautologies: 0
% 139.16/139.38 % qbf_prep_cycles: 0
% 139.16/139.38
% 139.16/139.38 % ------ BMC1
% 139.16/139.38
% 139.16/139.38 % bmc1_current_bound: -1
% 139.16/139.38 % bmc1_last_solved_bound: -1
% 139.16/139.38 % bmc1_unsat_core_size: -1
% 139.16/139.38 % bmc1_unsat_core_parents_size: -1
% 139.16/139.38 % bmc1_merge_next_fun: 0
% 139.16/139.38 % bmc1_unsat_core_clauses_time: 0.
% 139.16/139.38
% 139.16/139.38 % ------ Instantiation
% 139.16/139.38
% 139.16/139.38 % inst_num_of_clauses: 1118
% 139.16/139.38 % inst_num_in_passive: 700
% 139.16/139.38 % inst_num_in_active: 403
% 139.16/139.38 % inst_num_in_unprocessed: 7
% 139.16/139.38 % inst_num_of_loops: 413
% 139.16/139.39 % inst_num_of_learning_restarts: 1
% 139.16/139.39 % inst_num_moves_active_passive: 1
% 139.16/139.39 % inst_lit_activity: 230
% 139.16/139.39 % inst_lit_activity_moves: 0
% 139.16/139.39 % inst_num_tautologies: 5
% 139.16/139.39 % inst_num_prop_implied: 0
% 139.16/139.39 % inst_num_existing_simplified: 0
% 139.16/139.39 % inst_num_eq_res_simplified: 0
% 139.16/139.39 % inst_num_child_elim: 0
% 139.16/139.39 % inst_num_of_dismatching_blockings: 237
% 139.16/139.39 % inst_num_of_non_proper_insts: 826
% 139.16/139.39 % inst_num_of_duplicates: 486
% 139.16/139.39 % inst_inst_num_from_inst_to_res: 0
% 139.16/139.39 % inst_dismatching_checking_time: 0.048
% 139.16/139.39
% 139.16/139.39 % ------ Resolution
% 139.16/139.39
% 139.16/139.39 % res_num_of_clauses: 1089752
% 139.16/139.39 % res_num_in_passive: 1091535
% 139.16/139.39 % res_num_in_active: 4692
% 139.16/139.39 % res_num_of_loops: 12000
% 139.16/139.39 % res_forward_subset_subsumed: 217701
% 139.16/139.39 % res_backward_subset_subsumed: 8190
% 139.16/139.39 % res_forward_subsumed: 5732
% 139.16/139.39 % res_backward_subsumed: 139
% 139.16/139.39 % res_forward_subsumption_resolution: 2364
% 139.16/139.39 % res_backward_subsumption_resolution: 4
% 139.16/139.39 % res_clause_to_clause_subsumption: 2325086
% 139.16/139.39 % res_orphan_elimination: 0
% 139.16/139.39 % res_tautology_del: 156
% 139.16/139.39 % res_num_eq_res_simplified: 0
% 139.16/139.39 % res_num_sel_changes: 0
% 139.16/139.39 % res_moves_from_active_to_pass: 0
% 139.16/139.39
% 139.16/139.39 % Status Unsatisfiable
% 139.16/139.39 % SZS status Theorem
% 139.16/139.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------