%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GEO657+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:40:45 AM UTC 2026
% Result : Theorem 150.16s 150.43s
% Output : Proof 150.34s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('GEO012+0.ax',ruleD1) ).
fof(ruleD2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('GEO012+0.ax',ruleD2) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,D)
& coll(A,B,C) )
=> coll(C,D,A) ),
file('GEO012+0.ax',ruleD3) ).
fof(ruleD4,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(A,B,D,C) ),
file('GEO012+0.ax',ruleD4) ).
fof(ruleD5,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ),
file('GEO012+0.ax',ruleD5) ).
fof(ruleD6,axiom,
! [A,B,C,D,E,F] :
( ( para(C,D,E,F)
& para(A,B,C,D) )
=> para(A,B,E,F) ),
file('GEO012+0.ax',ruleD6) ).
fof(ruleD7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ),
file('GEO012+0.ax',ruleD7) ).
fof(ruleD8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ),
file('GEO012+0.ax',ruleD8) ).
fof(ruleD9,axiom,
! [A,B,C,D,E,F] :
( ( perp(C,D,E,F)
& perp(A,B,C,D) )
=> para(A,B,E,F) ),
file('GEO012+0.ax',ruleD9) ).
fof(ruleD10,axiom,
! [A,B,C,D,E,F] :
( ( perp(C,D,E,F)
& para(A,B,C,D) )
=> perp(A,B,E,F) ),
file('GEO012+0.ax',ruleD10) ).
fof(ruleD11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ),
file('GEO012+0.ax',ruleD11) ).
fof(ruleD12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,C)
& cong(O,A,O,B) )
=> circle(O,A,B,C) ),
file('GEO012+0.ax',ruleD12) ).
fof(ruleD13,axiom,
! [A,B,C,D,O] :
( ( cong(O,A,O,D)
& cong(O,A,O,C)
& cong(O,A,O,B) )
=> cyclic(A,B,C,D) ),
file('GEO012+0.ax',ruleD13) ).
fof(ruleD14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ),
file('GEO012+0.ax',ruleD14) ).
fof(ruleD15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ),
file('GEO012+0.ax',ruleD15) ).
fof(ruleD16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ),
file('GEO012+0.ax',ruleD16) ).
fof(ruleD17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,E)
& cyclic(A,B,C,D) )
=> cyclic(B,C,D,E) ),
file('GEO012+0.ax',ruleD17) ).
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) ),
file('GEO012+0.ax',ruleD18) ).
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) ),
file('GEO012+0.ax',ruleD19) ).
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) ),
file('GEO012+0.ax',ruleD20) ).
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) ),
file('GEO012+0.ax',ruleD21) ).
fof(ruleD22,axiom,
! [A,B,C,D,P,Q,U,V,E,F,G,H] :
( ( eqangle(P,Q,U,V,E,F,G,H)
& eqangle(A,B,C,D,P,Q,U,V) )
=> eqangle(A,B,C,D,E,F,G,H) ),
file('GEO012+0.ax',ruleD22) ).
fof(ruleD23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ),
file('GEO012+0.ax',ruleD23) ).
fof(ruleD24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ),
file('GEO012+0.ax',ruleD24) ).
fof(ruleD25,axiom,
! [A,B,C,D,E,F] :
( ( cong(C,D,E,F)
& cong(A,B,C,D) )
=> cong(A,B,E,F) ),
file('GEO012+0.ax',ruleD25) ).
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) ),
file('GEO012+0.ax',ruleD26) ).
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) ),
file('GEO012+0.ax',ruleD27) ).
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) ),
file('GEO012+0.ax',ruleD28) ).
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) ),
file('GEO012+0.ax',ruleD29) ).
fof(ruleD30,axiom,
! [A,B,C,D,E,F,G,H,P,Q,U,V] :
( ( eqratio(P,Q,U,V,E,F,G,H)
& eqratio(A,B,C,D,P,Q,U,V) )
=> eqratio(A,B,C,D,E,F,G,H) ),
file('GEO012+0.ax',ruleD30) ).
fof(ruleD31,axiom,
! [A,B,C,P,Q,R] :
( simtri(A,C,B,P,R,Q)
=> simtri(A,B,C,P,Q,R) ),
file('GEO012+0.ax',ruleD31) ).
fof(ruleD32,axiom,
! [A,B,C,P,Q,R] :
( simtri(B,A,C,Q,P,R)
=> simtri(A,B,C,P,Q,R) ),
file('GEO012+0.ax',ruleD32) ).
fof(ruleD33,axiom,
! [A,B,C,P,Q,R] :
( simtri(P,Q,R,A,B,C)
=> simtri(A,B,C,P,Q,R) ),
file('GEO012+0.ax',ruleD33) ).
fof(ruleD34,axiom,
! [A,B,C,E,F,G,P,Q,R] :
( ( simtri(E,F,G,P,Q,R)
& simtri(A,B,C,E,F,G) )
=> simtri(A,B,C,P,Q,R) ),
file('GEO012+0.ax',ruleD34) ).
fof(ruleD35,axiom,
! [A,B,C,P,Q,R] :
( contri(A,C,B,P,R,Q)
=> contri(A,B,C,P,Q,R) ),
file('GEO012+0.ax',ruleD35) ).
fof(ruleD36,axiom,
! [A,B,C,P,Q,R] :
( contri(B,A,C,Q,P,R)
=> contri(A,B,C,P,Q,R) ),
file('GEO012+0.ax',ruleD36) ).
fof(ruleD37,axiom,
! [A,B,C,P,Q,R] :
( contri(P,Q,R,A,B,C)
=> contri(A,B,C,P,Q,R) ),
file('GEO012+0.ax',ruleD37) ).
fof(ruleD38,axiom,
! [A,B,C,E,F,G,P,Q,R] :
( ( contri(E,F,G,P,Q,R)
& contri(A,B,C,E,F,G) )
=> contri(A,B,C,P,Q,R) ),
file('GEO012+0.ax',ruleD38) ).
fof(ruleD39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ),
file('GEO012+0.ax',ruleD39) ).
fof(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ),
file('GEO012+0.ax',ruleD40) ).
fof(ruleD41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ),
file('GEO012+0.ax',ruleD41) ).
fof(ruleD42a,axiom,
! [A,B,P,Q] :
( ( ~ coll(P,Q,A)
& eqangle(P,A,P,B,Q,A,Q,B) )
=> cyclic(A,B,P,Q) ),
file('GEO012+0.ax',ruleD42a) ).
fof(ruleD42b,axiom,
! [A,B,P,Q] :
( ( coll(P,Q,B)
& eqangle(P,A,P,B,Q,A,Q,B) )
=> cyclic(A,B,P,Q) ),
file('GEO012+0.ax',ruleD42b) ).
fof(ruleD43,axiom,
! [A,B,C,P,Q,R] :
( ( eqangle(C,A,C,B,R,P,R,Q)
& cyclic(A,B,C,R)
& cyclic(A,B,C,Q)
& cyclic(A,B,C,P) )
=> cong(A,B,P,Q) ),
file('GEO012+0.ax',ruleD43) ).
fof(ruleD44,axiom,
! [A,B,C,E,F] :
( ( midp(F,A,C)
& midp(E,A,B) )
=> para(E,F,B,C) ),
file('GEO012+0.ax',ruleD44) ).
fof(ruleD45,axiom,
! [A,B,C,E,F] :
( ( coll(F,A,C)
& para(E,F,B,C)
& midp(E,A,B) )
=> midp(F,A,C) ),
file('GEO012+0.ax',ruleD45) ).
fof(ruleD46,axiom,
! [A,B,O] :
( cong(O,A,O,B)
=> eqangle(O,A,A,B,A,B,O,B) ),
file('GEO012+0.ax',ruleD46) ).
fof(ruleD47,axiom,
! [A,B,O] :
( ( ~ coll(O,A,B)
& eqangle(O,A,A,B,A,B,O,B) )
=> cong(O,A,O,B) ),
file('GEO012+0.ax',ruleD47) ).
fof(ruleD48,axiom,
! [A,B,C,O,X] :
( ( perp(O,A,A,X)
& circle(O,A,B,C) )
=> eqangle(A,X,A,B,C,A,C,B) ),
file('GEO012+0.ax',ruleD48) ).
fof(ruleD49,axiom,
! [A,B,C,O,X] :
( ( eqangle(A,X,A,B,C,A,C,B)
& circle(O,A,B,C) )
=> perp(O,A,A,X) ),
file('GEO012+0.ax',ruleD49) ).
fof(ruleD50,axiom,
! [A,B,C,O,M] :
( ( midp(M,B,C)
& circle(O,A,B,C) )
=> eqangle(A,B,A,C,O,B,O,M) ),
file('GEO012+0.ax',ruleD50) ).
fof(ruleD51,axiom,
! [A,B,C,O,M] :
( ( eqangle(A,B,A,C,O,B,O,M)
& coll(M,B,C)
& circle(O,A,B,C) )
=> midp(M,B,C) ),
file('GEO012+0.ax',ruleD51) ).
fof(ruleD52,axiom,
! [A,B,C,M] :
( ( midp(M,A,C)
& perp(A,B,B,C) )
=> cong(A,M,B,M) ),
file('GEO012+0.ax',ruleD52) ).
fof(ruleD53,axiom,
! [A,B,C,O] :
( ( coll(O,A,C)
& circle(O,A,B,C) )
=> perp(A,B,B,C) ),
file('GEO012+0.ax',ruleD53) ).
fof(ruleD54,axiom,
! [A,B,C,D] :
( ( para(A,B,C,D)
& cyclic(A,B,C,D) )
=> eqangle(A,D,C,D,C,D,C,B) ),
file('GEO012+0.ax',ruleD54) ).
fof(ruleD55,axiom,
! [A,B,M,O] :
( ( perp(O,M,A,B)
& midp(M,A,B) )
=> cong(O,A,O,B) ),
file('GEO012+0.ax',ruleD55) ).
fof(ruleD56,axiom,
! [A,B,P,Q] :
( ( cong(A,Q,B,Q)
& cong(A,P,B,P) )
=> perp(A,B,P,Q) ),
file('GEO012+0.ax',ruleD56) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cyclic(A,B,P,Q)
& cong(A,Q,B,Q)
& cong(A,P,B,P) )
=> perp(P,A,A,Q) ),
file('GEO012+0.ax',ruleD57) ).
fof(ruleD58,axiom,
! [A,B,C,P,Q,R] :
( ( ~ coll(A,B,C)
& eqangle(A,C,B,C,P,R,Q,R)
& eqangle(A,B,B,C,P,Q,Q,R) )
=> simtri(A,B,C,P,Q,R) ),
file('GEO012+0.ax',ruleD58) ).
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) ),
file('GEO012+0.ax',ruleD59) ).
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) ),
file('GEO012+0.ax',ruleD60) ).
fof(ruleD61,axiom,
! [A,B,C,P,Q,R] :
( ( cong(A,B,P,Q)
& simtri(A,B,C,P,Q,R) )
=> contri(A,B,C,P,Q,R) ),
file('GEO012+0.ax',ruleD61) ).
fof(ruleD62,axiom,
! [A,B,C,P,Q,R] :
( contri(A,B,C,P,Q,R)
=> cong(A,B,P,Q) ),
file('GEO012+0.ax',ruleD62) ).
fof(ruleD63,axiom,
! [A,B,C,D,M] :
( ( midp(M,C,D)
& midp(M,A,B) )
=> para(A,C,B,D) ),
file('GEO012+0.ax',ruleD63) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( para(A,D,B,C)
& para(A,C,B,D)
& midp(M,A,B) )
=> midp(M,C,D) ),
file('GEO012+0.ax',ruleD64) ).
fof(ruleD65,axiom,
! [A,B,C,D,O] :
( ( coll(O,B,D)
& coll(O,A,C)
& para(A,B,C,D) )
=> eqratio(O,A,A,C,O,B,B,D) ),
file('GEO012+0.ax',ruleD65) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('GEO012+0.ax',ruleD66) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( coll(A,B,C)
& cong(A,B,A,C) )
=> midp(A,B,C) ),
file('GEO012+0.ax',ruleD67) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ),
file('GEO012+0.ax',ruleD68) ).
fof(ruleD69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ),
file('GEO012+0.ax',ruleD69) ).
fof(ruleD70,axiom,
! [A,B,C,D,M,N] :
( ( midp(N,C,D)
& midp(M,A,B) )
=> eqratio(M,A,A,B,N,C,C,D) ),
file('GEO012+0.ax',ruleD70) ).
fof(ruleD71,axiom,
! [A,B,C,D] :
( ( ~ para(A,B,C,D)
& eqangle(A,B,C,D,C,D,A,B) )
=> perp(A,B,C,D) ),
file('GEO012+0.ax',ruleD71) ).
fof(ruleD72,axiom,
! [A,B,C,D] :
( ( ~ perp(A,B,C,D)
& eqangle(A,B,C,D,C,D,A,B) )
=> para(A,B,C,D) ),
file('GEO012+0.ax',ruleD72) ).
fof(ruleD73,axiom,
! [A,B,C,D,P,Q,U,V] :
( ( para(P,Q,U,V)
& eqangle(A,B,C,D,P,Q,U,V) )
=> para(A,B,C,D) ),
file('GEO012+0.ax',ruleD73) ).
fof(ruleD74,axiom,
! [A,B,C,D,P,Q,U,V] :
( ( perp(P,Q,U,V)
& eqangle(A,B,C,D,P,Q,U,V) )
=> perp(A,B,C,D) ),
file('GEO012+0.ax',ruleD74) ).
fof(ruleD75,axiom,
! [A,B,C,D,P,Q,U,V] :
( ( cong(P,Q,U,V)
& eqratio(A,B,C,D,P,Q,U,V) )
=> cong(A,B,C,D) ),
file('GEO012+0.ax',ruleD75) ).
fof(ruleX1,axiom,
! [A,M,O,X] :
? [B] :
( ( eqangle(X,O,M,O,M,O,A,O)
& perp(O,M,M,A) )
=> ( coll(B,O,X)
& coll(B,A,M) ) ),
file('GEO012+0.ax',ruleX1) ).
fof(ruleX2,axiom,
! [A,B,O,X] :
? [M] :
( ( eqangle(A,O,O,X,O,X,O,B)
& cong(O,A,O,B) )
=> ( coll(M,O,X)
& coll(B,A,M) ) ),
file('GEO012+0.ax',ruleX2) ).
fof(ruleX3,axiom,
! [A,B,O,X] :
? [M] :
( ( eqangle(A,O,O,X,O,X,O,B)
& perp(O,X,A,B) )
=> ( coll(M,O,X)
& coll(B,A,M) ) ),
file('GEO012+0.ax',ruleX3) ).
fof(ruleX4,axiom,
! [A,B,O,X] :
? [M] :
( ( cong(O,A,O,B)
& perp(O,X,A,B) )
=> ( coll(M,O,X)
& coll(B,A,M) ) ),
file('GEO012+0.ax',ruleX4) ).
fof(ruleX5,axiom,
! [A,B,P,X,Y] :
? [Q] :
( ( ~ coll(A,B,P)
& eqangle(A,P,B,P,A,X,B,Y) )
=> ( cyclic(X,B,P,Q)
& eqangle(A,P,B,P,A,Q,B,Q) ) ),
file('GEO012+0.ax',ruleX5) ).
fof(ruleX6,axiom,
! [A,B,C,D,M,N] :
? [P] :
( ( midp(N,C,D)
& midp(M,A,B) )
=> ( para(P,N,A,C)
& para(P,M,B,D)
& midp(P,A,D) ) ),
file('GEO012+0.ax',ruleX6) ).
fof(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( coll(D,A,B)
& coll(C,A,B)
& midp(N,C,D)
& midp(M,A,B) )
=> midp(P,A,Q) ),
file('GEO012+0.ax',ruleX7) ).
fof(ruleX8,axiom,
! [A,B,M,P,Q,R,M] :
? [X] :
( ( coll(P,Q,R)
& para(A,P,B,Q)
& para(A,P,R,M)
& midp(M,A,B) )
=> ( coll(X,M,R)
& coll(X,A,Q) ) ),
file('GEO012+0.ax',ruleX8) ).
fof(ruleX9,axiom,
! [A,B,C,D,O] :
? [P] :
( ( perp(A,B,B,O)
& cong(O,C,O,D) )
=> ( cong(B,C,B,P)
& para(P,C,A,B)
& cong(O,C,O,P) ) ),
file('GEO012+0.ax',ruleX9) ).
fof(ruleX10,axiom,
! [A,B,C,H] :
? [P,Q] :
( ( perp(B,H,A,C)
& perp(A,H,B,C) )
=> ( perp(B,Q,C,A)
& coll(Q,C,A)
& perp(A,P,C,B)
& coll(P,C,B) ) ),
file('GEO012+0.ax',ruleX10) ).
fof(ruleX11,axiom,
! [A,B,C,O] :
? [P] :
( circle(O,A,B,C)
=> perp(P,A,A,O) ),
file('GEO012+0.ax',ruleX11) ).
fof(ruleX12,axiom,
! [A,B,C,D,M,N] :
? [P,Q] :
( ( M != N
& cong(N,A,N,B)
& cong(M,A,M,D)
& circle(M,A,B,C) )
=> ( cong(Q,N,N,A)
& coll(Q,B,D)
& cong(P,N,N,A)
& coll(P,A,C) ) ),
file('GEO012+0.ax',ruleX12) ).
fof(ruleX13,axiom,
! [A,B,C,D,M] :
? [O] :
( ( midp(M,A,B)
& para(A,B,C,D)
& cyclic(A,B,C,D) )
=> circle(O,A,B,C) ),
file('GEO012+0.ax',ruleX13) ).
fof(ruleX14,axiom,
! [A,B,C,D] :
? [O] :
( ( cyclic(A,B,C,D)
& perp(A,C,C,B) )
=> circle(O,A,B,C) ),
file('GEO012+0.ax',ruleX14) ).
fof(ruleX15,axiom,
! [A,B,C,E,F] :
? [P] :
( ( coll(B,E,F)
& perp(A,C,C,B) )
=> ( perp(P,A,E,F)
& coll(P,E,F) ) ),
file('GEO012+0.ax',ruleX15) ).
fof(ruleX16,axiom,
! [A,B,C,D,M] :
? [P] :
( ( midp(M,B,D)
& perp(C,A,C,D)
& perp(A,B,A,C) )
=> midp(P,A,C) ),
file('GEO012+0.ax',ruleX16) ).
fof(ruleX17,axiom,
! [A,B,O] :
? [C] :
( ( perp(A,O,O,B)
& cong(O,A,O,B) )
=> ( cong(O,A,O,C)
& coll(A,O,C) ) ),
file('GEO012+0.ax',ruleX17) ).
fof(ruleX18,axiom,
! [A,B,C,D,P,Q] :
? [R] :
( ( coll(Q,A,B)
& coll(P,B,D)
& coll(P,A,C)
& para(A,B,C,D) )
=> ( coll(R,C,D)
& coll(P,Q,R) ) ),
file('GEO012+0.ax',ruleX18) ).
fof(exemplo6GDDFULLmoreE02315,conjecture,
! [A,B,C,D,E,F,G] :
( ( coll(G,B,C)
& coll(F,C,D)
& para(A,D,F,E)
& para(A,B,G,E)
& coll(E,A,C) )
=> para(B,D,G,F) ),
file('theBenchmark.p',exemplo6GDDFULLmoreE02315) ).
fof(f_1_1,plain,
! [A,B,C] :
( coll(A,C,B)
| ~ coll(A,B,C) ),
inference(fof_nnf,[status(thm)],[ruleD1]) ).
fof(f_1_2,plain,
! [U_2,U_1,U_0] :
( coll(U_2,U_0,U_1)
| ~ coll(U_2,U_1,U_0) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
! [U_0,U_1,U_2] :
( coll(U_2,U_0,U_1)
| ~ coll(U_2,U_1,U_0) ),
inference(definitional_conversion,[status(esa)],[f_1_2]) ).
cnf(f_1_4,plain,
( coll(U_2,U_0,U_1)
| ~ coll(U_2,U_1,U_0) ),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [A,B,C] :
( coll(B,A,C)
| ~ coll(A,B,C) ),
inference(fof_nnf,[status(thm)],[ruleD2]) ).
fof(f_2_2,plain,
! [U_5,U_4,U_3] :
( coll(U_4,U_5,U_3)
| ~ coll(U_5,U_4,U_3) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_5,U_4,U_3] :
( coll(U_4,U_5,U_3)
| ~ coll(U_5,U_4,U_3) ),
inference(definitional_conversion,[status(esa)],[f_2_2]) ).
cnf(f_2_4,plain,
( coll(U_4,U_5,U_3)
| ~ coll(U_5,U_4,U_3) ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [A,B,C,D] :
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(fof_nnf,[status(thm)],[ruleD3]) ).
fof(f_3_2,plain,
! [U_9,U_8,U_7,U_6] :
( coll(U_7,U_6,U_9)
| ~ coll(U_9,U_8,U_6)
| ~ coll(U_9,U_8,U_7) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_9,U_8,U_7,U_6] :
( coll(U_7,U_6,U_9)
| ~ coll(U_9,U_8,U_6)
| ~ coll(U_9,U_8,U_7) ),
inference(definitional_conversion,[status(esa)],[f_3_2]) ).
cnf(f_3_4,plain,
( coll(U_7,U_6,U_9)
| ~ coll(U_9,U_8,U_6)
| ~ coll(U_9,U_8,U_7) ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,plain,
! [A,B,C,D] :
( para(A,B,D,C)
| ~ para(A,B,C,D) ),
inference(fof_nnf,[status(thm)],[ruleD4]) ).
fof(f_4_2,plain,
! [U_13,U_12,U_11,U_10] :
( para(U_13,U_12,U_10,U_11)
| ~ para(U_13,U_12,U_11,U_10) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_10,U_13,U_12,U_11] :
( para(U_13,U_12,U_10,U_11)
| ~ para(U_13,U_12,U_11,U_10) ),
inference(definitional_conversion,[status(esa)],[f_4_2]) ).
cnf(f_4_4,plain,
( para(U_13,U_12,U_10,U_11)
| ~ para(U_13,U_12,U_11,U_10) ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [A,B,C,D] :
( para(C,D,A,B)
| ~ para(A,B,C,D) ),
inference(fof_nnf,[status(thm)],[ruleD5]) ).
fof(f_5_2,plain,
! [U_17,U_16,U_15,U_14] :
( para(U_15,U_14,U_17,U_16)
| ~ para(U_17,U_16,U_15,U_14) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_17,U_16,U_15,U_14] :
( para(U_15,U_14,U_17,U_16)
| ~ para(U_17,U_16,U_15,U_14) ),
inference(definitional_conversion,[status(esa)],[f_5_2]) ).
cnf(f_5_4,plain,
( para(U_15,U_14,U_17,U_16)
| ~ para(U_17,U_16,U_15,U_14) ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
! [A,B,C,D,E,F] :
( para(A,B,E,F)
| ~ para(C,D,E,F)
| ~ para(A,B,C,D) ),
inference(fof_nnf,[status(thm)],[ruleD6]) ).
fof(f_6_2,plain,
! [U_23,U_22,U_21,U_20,U_19,U_18] :
( para(U_23,U_22,U_19,U_18)
| ~ para(U_21,U_20,U_19,U_18)
| ~ para(U_23,U_22,U_21,U_20) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_19,U_18,U_20,U_21,U_22,U_23] :
( para(U_23,U_22,U_19,U_18)
| ~ para(U_21,U_20,U_19,U_18)
| ~ para(U_23,U_22,U_21,U_20) ),
inference(definitional_conversion,[status(esa)],[f_6_2]) ).
cnf(f_6_4,plain,
( para(U_23,U_22,U_19,U_18)
| ~ para(U_21,U_20,U_19,U_18)
| ~ para(U_23,U_22,U_21,U_20) ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,plain,
! [A,B,C,D] :
( perp(A,B,D,C)
| ~ perp(A,B,C,D) ),
inference(fof_nnf,[status(thm)],[ruleD7]) ).
fof(f_7_2,plain,
! [U_27,U_26,U_25,U_24] :
( perp(U_27,U_26,U_24,U_25)
| ~ perp(U_27,U_26,U_25,U_24) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
! [U_27,U_25,U_24,U_26] :
( perp(U_27,U_26,U_24,U_25)
| ~ perp(U_27,U_26,U_25,U_24) ),
inference(definitional_conversion,[status(esa)],[f_7_2]) ).
cnf(f_7_4,plain,
( perp(U_27,U_26,U_24,U_25)
| ~ perp(U_27,U_26,U_25,U_24) ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,plain,
! [A,B,C,D] :
( perp(C,D,A,B)
| ~ perp(A,B,C,D) ),
inference(fof_nnf,[status(thm)],[ruleD8]) ).
fof(f_8_2,plain,
! [U_31,U_30,U_29,U_28] :
( perp(U_29,U_28,U_31,U_30)
| ~ perp(U_31,U_30,U_29,U_28) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
! [U_29,U_30,U_31,U_28] :
( perp(U_29,U_28,U_31,U_30)
| ~ perp(U_31,U_30,U_29,U_28) ),
inference(definitional_conversion,[status(esa)],[f_8_2]) ).
cnf(f_8_4,plain,
( perp(U_29,U_28,U_31,U_30)
| ~ perp(U_31,U_30,U_29,U_28) ),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_1,plain,
! [A,B,C,D,E,F] :
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(fof_nnf,[status(thm)],[ruleD9]) ).
fof(f_9_2,plain,
! [U_37,U_36,U_35,U_34,U_33,U_32] :
( para(U_37,U_36,U_33,U_32)
| ~ perp(U_35,U_34,U_33,U_32)
| ~ perp(U_37,U_36,U_35,U_34) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
! [U_33,U_32,U_34,U_35,U_36,U_37] :
( para(U_37,U_36,U_33,U_32)
| ~ perp(U_35,U_34,U_33,U_32)
| ~ perp(U_37,U_36,U_35,U_34) ),
inference(definitional_conversion,[status(esa)],[f_9_2]) ).
cnf(f_9_4,plain,
( para(U_37,U_36,U_33,U_32)
| ~ perp(U_35,U_34,U_33,U_32)
| ~ perp(U_37,U_36,U_35,U_34) ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_1,plain,
! [A,B,C,D,E,F] :
( perp(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ para(A,B,C,D) ),
inference(fof_nnf,[status(thm)],[ruleD10]) ).
fof(f_10_2,plain,
! [U_43,U_42,U_41,U_40,U_39,U_38] :
( perp(U_43,U_42,U_39,U_38)
| ~ perp(U_41,U_40,U_39,U_38)
| ~ para(U_43,U_42,U_41,U_40) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
! [U_42,U_43,U_41,U_38,U_39,U_40] :
( perp(U_43,U_42,U_39,U_38)
| ~ perp(U_41,U_40,U_39,U_38)
| ~ para(U_43,U_42,U_41,U_40) ),
inference(definitional_conversion,[status(esa)],[f_10_2]) ).
cnf(f_10_4,plain,
( perp(U_43,U_42,U_39,U_38)
| ~ perp(U_41,U_40,U_39,U_38)
| ~ para(U_43,U_42,U_41,U_40) ),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
! [A,B,M] :
( midp(M,A,B)
| ~ midp(M,B,A) ),
inference(fof_nnf,[status(thm)],[ruleD11]) ).
fof(f_11_2,plain,
! [U_46,U_45,U_44] :
( midp(U_44,U_46,U_45)
| ~ midp(U_44,U_45,U_46) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
! [U_46,U_44,U_45] :
( midp(U_44,U_46,U_45)
| ~ midp(U_44,U_45,U_46) ),
inference(definitional_conversion,[status(esa)],[f_11_2]) ).
cnf(f_11_4,plain,
( midp(U_44,U_46,U_45)
| ~ midp(U_44,U_45,U_46) ),
inference(clausify,[status(thm)],[f_11_3]) ).
fof(f_12_1,plain,
! [A,B,C,O] :
( circle(O,A,B,C)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,B) ),
inference(fof_nnf,[status(thm)],[ruleD12]) ).
fof(f_12_2,plain,
! [U_50,U_49,U_48,U_47] :
( circle(U_47,U_50,U_49,U_48)
| ~ cong(U_47,U_50,U_47,U_48)
| ~ cong(U_47,U_50,U_47,U_49) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
! [U_48,U_49,U_50,U_47] :
( circle(U_47,U_50,U_49,U_48)
| ~ cong(U_47,U_50,U_47,U_48)
| ~ cong(U_47,U_50,U_47,U_49) ),
inference(definitional_conversion,[status(esa)],[f_12_2]) ).
cnf(f_12_4,plain,
( circle(U_47,U_50,U_49,U_48)
| ~ cong(U_47,U_50,U_47,U_48)
| ~ cong(U_47,U_50,U_47,U_49) ),
inference(clausify,[status(thm)],[f_12_3]) ).
fof(f_13_1,plain,
! [A,B,C,D,O] :
( cyclic(A,B,C,D)
| ~ cong(O,A,O,D)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,B) ),
inference(fof_nnf,[status(thm)],[ruleD13]) ).
fof(f_13_2,plain,
! [U_55,U_54,U_53,U_52,U_51] :
( cyclic(U_55,U_54,U_53,U_52)
| ~ cong(U_51,U_55,U_51,U_52)
| ~ cong(U_51,U_55,U_51,U_53)
| ~ cong(U_51,U_55,U_51,U_54) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
! [U_55,U_54,U_53,U_52] :
( ! [U_51] :
( ~ cong(U_51,U_55,U_51,U_52)
| ~ cong(U_51,U_55,U_51,U_53)
| ~ cong(U_51,U_55,U_51,U_54) )
| cyclic(U_55,U_54,U_53,U_52) ),
inference(miniscope,[status(thm)],[f_13_2]) ).
fof(f_13_4,plain,
! [U_51,U_52,U_54,U_55,U_53] :
( ~ cong(U_51,U_55,U_51,U_52)
| ~ cong(U_51,U_55,U_51,U_53)
| ~ cong(U_51,U_55,U_51,U_54)
| cyclic(U_55,U_54,U_53,U_52) ),
inference(definitional_conversion,[status(esa)],[f_13_3]) ).
cnf(f_13_5,plain,
( ~ cong(U_51,U_55,U_51,U_52)
| ~ cong(U_51,U_55,U_51,U_53)
| ~ cong(U_51,U_55,U_51,U_54)
| cyclic(U_55,U_54,U_53,U_52) ),
inference(clausify,[status(thm)],[f_13_4]) ).
fof(f_14_1,plain,
! [A,B,C,D] :
( cyclic(A,B,D,C)
| ~ cyclic(A,B,C,D) ),
inference(fof_nnf,[status(thm)],[ruleD14]) ).
fof(f_14_2,plain,
! [U_59,U_58,U_57,U_56] :
( cyclic(U_59,U_58,U_56,U_57)
| ~ cyclic(U_59,U_58,U_57,U_56) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
! [U_59,U_58,U_56,U_57] :
( cyclic(U_59,U_58,U_56,U_57)
| ~ cyclic(U_59,U_58,U_57,U_56) ),
inference(definitional_conversion,[status(esa)],[f_14_2]) ).
cnf(f_14_4,plain,
( cyclic(U_59,U_58,U_56,U_57)
| ~ cyclic(U_59,U_58,U_57,U_56) ),
inference(clausify,[status(thm)],[f_14_3]) ).
fof(f_15_1,plain,
! [A,B,C,D] :
( cyclic(A,C,B,D)
| ~ cyclic(A,B,C,D) ),
inference(fof_nnf,[status(thm)],[ruleD15]) ).
fof(f_15_2,plain,
! [U_63,U_62,U_61,U_60] :
( cyclic(U_63,U_61,U_62,U_60)
| ~ cyclic(U_63,U_62,U_61,U_60) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
! [U_60,U_63,U_62,U_61] :
( cyclic(U_63,U_61,U_62,U_60)
| ~ cyclic(U_63,U_62,U_61,U_60) ),
inference(definitional_conversion,[status(esa)],[f_15_2]) ).
cnf(f_15_4,plain,
( cyclic(U_63,U_61,U_62,U_60)
| ~ cyclic(U_63,U_62,U_61,U_60) ),
inference(clausify,[status(thm)],[f_15_3]) ).
fof(f_16_1,plain,
! [A,B,C,D] :
( cyclic(B,A,C,D)
| ~ cyclic(A,B,C,D) ),
inference(fof_nnf,[status(thm)],[ruleD16]) ).
fof(f_16_2,plain,
! [U_67,U_66,U_65,U_64] :
( cyclic(U_66,U_67,U_65,U_64)
| ~ cyclic(U_67,U_66,U_65,U_64) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
! [U_66,U_67,U_65,U_64] :
( cyclic(U_66,U_67,U_65,U_64)
| ~ cyclic(U_67,U_66,U_65,U_64) ),
inference(definitional_conversion,[status(esa)],[f_16_2]) ).
cnf(f_16_4,plain,
( cyclic(U_66,U_67,U_65,U_64)
| ~ cyclic(U_67,U_66,U_65,U_64) ),
inference(clausify,[status(thm)],[f_16_3]) ).
fof(f_17_1,plain,
! [A,B,C,D,E] :
( cyclic(B,C,D,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(fof_nnf,[status(thm)],[ruleD17]) ).
fof(f_17_2,plain,
! [U_72,U_71,U_70,U_69,U_68] :
( cyclic(U_71,U_70,U_69,U_68)
| ~ cyclic(U_72,U_71,U_70,U_68)
| ~ cyclic(U_72,U_71,U_70,U_69) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
! [U_69,U_68,U_70,U_71,U_72] :
( cyclic(U_71,U_70,U_69,U_68)
| ~ cyclic(U_72,U_71,U_70,U_68)
| ~ cyclic(U_72,U_71,U_70,U_69) ),
inference(definitional_conversion,[status(esa)],[f_17_2]) ).
cnf(f_17_4,plain,
( cyclic(U_71,U_70,U_69,U_68)
| ~ cyclic(U_72,U_71,U_70,U_68)
| ~ cyclic(U_72,U_71,U_70,U_69) ),
inference(clausify,[status(thm)],[f_17_3]) ).
fof(f_18_1,plain,
! [A,B,C,D,P,Q,U,V] :
( eqangle(B,A,C,D,P,Q,U,V)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(fof_nnf,[status(thm)],[ruleD18]) ).
fof(f_18_2,plain,
! [U_80,U_79,U_78,U_77,U_76,U_75,U_74,U_73] :
( eqangle(U_79,U_80,U_78,U_77,U_76,U_75,U_74,U_73)
| ~ eqangle(U_80,U_79,U_78,U_77,U_76,U_75,U_74,U_73) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
! [U_77,U_75,U_78,U_79,U_76,U_74,U_80,U_73] :
( eqangle(U_79,U_80,U_78,U_77,U_76,U_75,U_74,U_73)
| ~ eqangle(U_80,U_79,U_78,U_77,U_76,U_75,U_74,U_73) ),
inference(definitional_conversion,[status(esa)],[f_18_2]) ).
cnf(f_18_4,plain,
( eqangle(U_79,U_80,U_78,U_77,U_76,U_75,U_74,U_73)
| ~ eqangle(U_80,U_79,U_78,U_77,U_76,U_75,U_74,U_73) ),
inference(clausify,[status(thm)],[f_18_3]) ).
fof(f_19_1,plain,
! [A,B,C,D,P,Q,U,V] :
( eqangle(C,D,A,B,U,V,P,Q)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(fof_nnf,[status(thm)],[ruleD19]) ).
fof(f_19_2,plain,
! [U_88,U_87,U_86,U_85,U_84,U_83,U_82,U_81] :
( eqangle(U_86,U_85,U_88,U_87,U_82,U_81,U_84,U_83)
| ~ eqangle(U_88,U_87,U_86,U_85,U_84,U_83,U_82,U_81) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
! [U_82,U_83,U_84,U_81,U_85,U_86,U_87,U_88] :
( eqangle(U_86,U_85,U_88,U_87,U_82,U_81,U_84,U_83)
| ~ eqangle(U_88,U_87,U_86,U_85,U_84,U_83,U_82,U_81) ),
inference(definitional_conversion,[status(esa)],[f_19_2]) ).
cnf(f_19_4,plain,
( eqangle(U_86,U_85,U_88,U_87,U_82,U_81,U_84,U_83)
| ~ eqangle(U_88,U_87,U_86,U_85,U_84,U_83,U_82,U_81) ),
inference(clausify,[status(thm)],[f_19_3]) ).
fof(f_20_1,plain,
! [A,B,C,D,P,Q,U,V] :
( eqangle(P,Q,U,V,A,B,C,D)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(fof_nnf,[status(thm)],[ruleD20]) ).
fof(f_20_2,plain,
! [U_96,U_95,U_94,U_93,U_92,U_91,U_90,U_89] :
( eqangle(U_92,U_91,U_90,U_89,U_96,U_95,U_94,U_93)
| ~ eqangle(U_96,U_95,U_94,U_93,U_92,U_91,U_90,U_89) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
! [U_89,U_92,U_91,U_90,U_93,U_94,U_95,U_96] :
( eqangle(U_92,U_91,U_90,U_89,U_96,U_95,U_94,U_93)
| ~ eqangle(U_96,U_95,U_94,U_93,U_92,U_91,U_90,U_89) ),
inference(definitional_conversion,[status(esa)],[f_20_2]) ).
cnf(f_20_4,plain,
( eqangle(U_92,U_91,U_90,U_89,U_96,U_95,U_94,U_93)
| ~ eqangle(U_96,U_95,U_94,U_93,U_92,U_91,U_90,U_89) ),
inference(clausify,[status(thm)],[f_20_3]) ).
fof(f_21_1,plain,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,P,Q,C,D,U,V)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(fof_nnf,[status(thm)],[ruleD21]) ).
fof(f_21_2,plain,
! [U_104,U_103,U_102,U_101,U_100,U_99,U_98,U_97] :
( eqangle(U_104,U_103,U_100,U_99,U_102,U_101,U_98,U_97)
| ~ eqangle(U_104,U_103,U_102,U_101,U_100,U_99,U_98,U_97) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
! [U_97,U_100,U_98,U_99,U_101,U_102,U_103,U_104] :
( eqangle(U_104,U_103,U_100,U_99,U_102,U_101,U_98,U_97)
| ~ eqangle(U_104,U_103,U_102,U_101,U_100,U_99,U_98,U_97) ),
inference(definitional_conversion,[status(esa)],[f_21_2]) ).
cnf(f_21_4,plain,
( eqangle(U_104,U_103,U_100,U_99,U_102,U_101,U_98,U_97)
| ~ eqangle(U_104,U_103,U_102,U_101,U_100,U_99,U_98,U_97) ),
inference(clausify,[status(thm)],[f_21_3]) ).
fof(f_22_1,plain,
! [A,B,C,D,P,Q,U,V,E,F,G,H] :
( eqangle(A,B,C,D,E,F,G,H)
| ~ eqangle(P,Q,U,V,E,F,G,H)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(fof_nnf,[status(thm)],[ruleD22]) ).
fof(f_22_2,plain,
! [U_116,U_115,U_114,U_113,U_112,U_111,U_110,U_109,U_108,U_107,U_106,U_105] :
( eqangle(U_116,U_115,U_114,U_113,U_108,U_107,U_106,U_105)
| ~ eqangle(U_112,U_111,U_110,U_109,U_108,U_107,U_106,U_105)
| ~ eqangle(U_116,U_115,U_114,U_113,U_112,U_111,U_110,U_109) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
fof(f_22_3,plain,
! [U_111,U_112,U_109,U_110,U_105,U_108,U_106,U_107,U_113,U_114,U_115,U_116] :
( eqangle(U_116,U_115,U_114,U_113,U_108,U_107,U_106,U_105)
| ~ eqangle(U_112,U_111,U_110,U_109,U_108,U_107,U_106,U_105)
| ~ eqangle(U_116,U_115,U_114,U_113,U_112,U_111,U_110,U_109) ),
inference(definitional_conversion,[status(esa)],[f_22_2]) ).
cnf(f_22_4,plain,
( eqangle(U_116,U_115,U_114,U_113,U_108,U_107,U_106,U_105)
| ~ eqangle(U_112,U_111,U_110,U_109,U_108,U_107,U_106,U_105)
| ~ eqangle(U_116,U_115,U_114,U_113,U_112,U_111,U_110,U_109) ),
inference(clausify,[status(thm)],[f_22_3]) ).
fof(f_23_1,plain,
! [A,B,C,D] :
( cong(A,B,D,C)
| ~ cong(A,B,C,D) ),
inference(fof_nnf,[status(thm)],[ruleD23]) ).
fof(f_23_2,plain,
! [U_120,U_119,U_118,U_117] :
( cong(U_120,U_119,U_117,U_118)
| ~ cong(U_120,U_119,U_118,U_117) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
! [U_117,U_119,U_120,U_118] :
( cong(U_120,U_119,U_117,U_118)
| ~ cong(U_120,U_119,U_118,U_117) ),
inference(definitional_conversion,[status(esa)],[f_23_2]) ).
cnf(f_23_4,plain,
( cong(U_120,U_119,U_117,U_118)
| ~ cong(U_120,U_119,U_118,U_117) ),
inference(clausify,[status(thm)],[f_23_3]) ).
fof(f_24_1,plain,
! [A,B,C,D] :
( cong(C,D,A,B)
| ~ cong(A,B,C,D) ),
inference(fof_nnf,[status(thm)],[ruleD24]) ).
fof(f_24_2,plain,
! [U_124,U_123,U_122,U_121] :
( cong(U_122,U_121,U_124,U_123)
| ~ cong(U_124,U_123,U_122,U_121) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
fof(f_24_3,plain,
! [U_124,U_123,U_122,U_121] :
( cong(U_122,U_121,U_124,U_123)
| ~ cong(U_124,U_123,U_122,U_121) ),
inference(definitional_conversion,[status(esa)],[f_24_2]) ).
cnf(f_24_4,plain,
( cong(U_122,U_121,U_124,U_123)
| ~ cong(U_124,U_123,U_122,U_121) ),
inference(clausify,[status(thm)],[f_24_3]) ).
fof(f_25_1,plain,
! [A,B,C,D,E,F] :
( cong(A,B,E,F)
| ~ cong(C,D,E,F)
| ~ cong(A,B,C,D) ),
inference(fof_nnf,[status(thm)],[ruleD25]) ).
fof(f_25_2,plain,
! [U_130,U_129,U_128,U_127,U_126,U_125] :
( cong(U_130,U_129,U_126,U_125)
| ~ cong(U_128,U_127,U_126,U_125)
| ~ cong(U_130,U_129,U_128,U_127) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
fof(f_25_3,plain,
! [U_126,U_125,U_127,U_128,U_129,U_130] :
( cong(U_130,U_129,U_126,U_125)
| ~ cong(U_128,U_127,U_126,U_125)
| ~ cong(U_130,U_129,U_128,U_127) ),
inference(definitional_conversion,[status(esa)],[f_25_2]) ).
cnf(f_25_4,plain,
( cong(U_130,U_129,U_126,U_125)
| ~ cong(U_128,U_127,U_126,U_125)
| ~ cong(U_130,U_129,U_128,U_127) ),
inference(clausify,[status(thm)],[f_25_3]) ).
fof(f_26_1,plain,
! [A,B,C,D,P,Q,U,V] :
( eqratio(B,A,C,D,P,Q,U,V)
| ~ eqratio(A,B,C,D,P,Q,U,V) ),
inference(fof_nnf,[status(thm)],[ruleD26]) ).
fof(f_26_2,plain,
! [U_138,U_137,U_136,U_135,U_134,U_133,U_132,U_131] :
( eqratio(U_137,U_138,U_136,U_135,U_134,U_133,U_132,U_131)
| ~ eqratio(U_138,U_137,U_136,U_135,U_134,U_133,U_132,U_131) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
fof(f_26_3,plain,
! [U_137,U_134,U_133,U_138,U_132,U_136,U_135,U_131] :
( eqratio(U_137,U_138,U_136,U_135,U_134,U_133,U_132,U_131)
| ~ eqratio(U_138,U_137,U_136,U_135,U_134,U_133,U_132,U_131) ),
inference(definitional_conversion,[status(esa)],[f_26_2]) ).
cnf(f_26_4,plain,
( eqratio(U_137,U_138,U_136,U_135,U_134,U_133,U_132,U_131)
| ~ eqratio(U_138,U_137,U_136,U_135,U_134,U_133,U_132,U_131) ),
inference(clausify,[status(thm)],[f_26_3]) ).
fof(f_27_1,plain,
! [A,B,C,D,P,Q,U,V] :
( eqratio(C,D,A,B,U,V,P,Q)
| ~ eqratio(A,B,C,D,P,Q,U,V) ),
inference(fof_nnf,[status(thm)],[ruleD27]) ).
fof(f_27_2,plain,
! [U_146,U_145,U_144,U_143,U_142,U_141,U_140,U_139] :
( eqratio(U_144,U_143,U_146,U_145,U_140,U_139,U_142,U_141)
| ~ eqratio(U_146,U_145,U_144,U_143,U_142,U_141,U_140,U_139) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
fof(f_27_3,plain,
! [U_141,U_140,U_142,U_139,U_143,U_144,U_145,U_146] :
( eqratio(U_144,U_143,U_146,U_145,U_140,U_139,U_142,U_141)
| ~ eqratio(U_146,U_145,U_144,U_143,U_142,U_141,U_140,U_139) ),
inference(definitional_conversion,[status(esa)],[f_27_2]) ).
cnf(f_27_4,plain,
( eqratio(U_144,U_143,U_146,U_145,U_140,U_139,U_142,U_141)
| ~ eqratio(U_146,U_145,U_144,U_143,U_142,U_141,U_140,U_139) ),
inference(clausify,[status(thm)],[f_27_3]) ).
fof(f_28_1,plain,
! [A,B,C,D,P,Q,U,V] :
( eqratio(P,Q,U,V,A,B,C,D)
| ~ eqratio(A,B,C,D,P,Q,U,V) ),
inference(fof_nnf,[status(thm)],[ruleD28]) ).
fof(f_28_2,plain,
! [U_154,U_153,U_152,U_151,U_150,U_149,U_148,U_147] :
( eqratio(U_150,U_149,U_148,U_147,U_154,U_153,U_152,U_151)
| ~ eqratio(U_154,U_153,U_152,U_151,U_150,U_149,U_148,U_147) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
fof(f_28_3,plain,
! [U_147,U_149,U_150,U_148,U_151,U_152,U_153,U_154] :
( eqratio(U_150,U_149,U_148,U_147,U_154,U_153,U_152,U_151)
| ~ eqratio(U_154,U_153,U_152,U_151,U_150,U_149,U_148,U_147) ),
inference(definitional_conversion,[status(esa)],[f_28_2]) ).
cnf(f_28_4,plain,
( eqratio(U_150,U_149,U_148,U_147,U_154,U_153,U_152,U_151)
| ~ eqratio(U_154,U_153,U_152,U_151,U_150,U_149,U_148,U_147) ),
inference(clausify,[status(thm)],[f_28_3]) ).
fof(f_29_1,plain,
! [A,B,C,D,P,Q,U,V] :
( eqratio(A,B,P,Q,C,D,U,V)
| ~ eqratio(A,B,C,D,P,Q,U,V) ),
inference(fof_nnf,[status(thm)],[ruleD29]) ).
fof(f_29_2,plain,
! [U_162,U_161,U_160,U_159,U_158,U_157,U_156,U_155] :
( eqratio(U_162,U_161,U_158,U_157,U_160,U_159,U_156,U_155)
| ~ eqratio(U_162,U_161,U_160,U_159,U_158,U_157,U_156,U_155) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
! [U_155,U_158,U_156,U_157,U_159,U_160,U_161,U_162] :
( eqratio(U_162,U_161,U_158,U_157,U_160,U_159,U_156,U_155)
| ~ eqratio(U_162,U_161,U_160,U_159,U_158,U_157,U_156,U_155) ),
inference(definitional_conversion,[status(esa)],[f_29_2]) ).
cnf(f_29_4,plain,
( eqratio(U_162,U_161,U_158,U_157,U_160,U_159,U_156,U_155)
| ~ eqratio(U_162,U_161,U_160,U_159,U_158,U_157,U_156,U_155) ),
inference(clausify,[status(thm)],[f_29_3]) ).
fof(f_30_1,plain,
! [A,B,C,D,E,F,G,H,P,Q,U,V] :
( eqratio(A,B,C,D,E,F,G,H)
| ~ eqratio(P,Q,U,V,E,F,G,H)
| ~ eqratio(A,B,C,D,P,Q,U,V) ),
inference(fof_nnf,[status(thm)],[ruleD30]) ).
fof(f_30_2,plain,
! [U_174,U_173,U_172,U_171,U_170,U_169,U_168,U_167,U_166,U_165,U_164,U_163] :
( eqratio(U_174,U_173,U_172,U_171,U_170,U_169,U_168,U_167)
| ~ eqratio(U_166,U_165,U_164,U_163,U_170,U_169,U_168,U_167)
| ~ eqratio(U_174,U_173,U_172,U_171,U_166,U_165,U_164,U_163) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
fof(f_30_3,plain,
! [U_174,U_173,U_172,U_171,U_170,U_169,U_168,U_167] :
( ! [U_166,U_165,U_164,U_163] :
( ~ eqratio(U_166,U_165,U_164,U_163,U_170,U_169,U_168,U_167)
| ~ eqratio(U_174,U_173,U_172,U_171,U_166,U_165,U_164,U_163) )
| eqratio(U_174,U_173,U_172,U_171,U_170,U_169,U_168,U_167) ),
inference(miniscope,[status(thm)],[f_30_2]) ).
fof(f_30_4,plain,
! [U_163,U_166,U_164,U_165,U_167,U_168,U_169,U_170,U_171,U_172,U_173,U_174] :
( ~ eqratio(U_166,U_165,U_164,U_163,U_170,U_169,U_168,U_167)
| ~ eqratio(U_174,U_173,U_172,U_171,U_166,U_165,U_164,U_163)
| eqratio(U_174,U_173,U_172,U_171,U_170,U_169,U_168,U_167) ),
inference(definitional_conversion,[status(esa)],[f_30_3]) ).
cnf(f_30_5,plain,
( ~ eqratio(U_166,U_165,U_164,U_163,U_170,U_169,U_168,U_167)
| ~ eqratio(U_174,U_173,U_172,U_171,U_166,U_165,U_164,U_163)
| eqratio(U_174,U_173,U_172,U_171,U_170,U_169,U_168,U_167) ),
inference(clausify,[status(thm)],[f_30_4]) ).
fof(f_31_1,plain,
! [A,B,C,P,Q,R] :
( simtri(A,B,C,P,Q,R)
| ~ simtri(A,C,B,P,R,Q) ),
inference(fof_nnf,[status(thm)],[ruleD31]) ).
fof(f_31_2,plain,
! [U_180,U_179,U_178,U_177,U_176,U_175] :
( simtri(U_180,U_179,U_178,U_177,U_176,U_175)
| ~ simtri(U_180,U_178,U_179,U_177,U_175,U_176) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
fof(f_31_3,plain,
! [U_175,U_176,U_178,U_179,U_180,U_177] :
( simtri(U_180,U_179,U_178,U_177,U_176,U_175)
| ~ simtri(U_180,U_178,U_179,U_177,U_175,U_176) ),
inference(definitional_conversion,[status(esa)],[f_31_2]) ).
cnf(f_31_4,plain,
( simtri(U_180,U_179,U_178,U_177,U_176,U_175)
| ~ simtri(U_180,U_178,U_179,U_177,U_175,U_176) ),
inference(clausify,[status(thm)],[f_31_3]) ).
fof(f_32_1,plain,
! [A,B,C,P,Q,R] :
( simtri(A,B,C,P,Q,R)
| ~ simtri(B,A,C,Q,P,R) ),
inference(fof_nnf,[status(thm)],[ruleD32]) ).
fof(f_32_2,plain,
! [U_186,U_185,U_184,U_183,U_182,U_181] :
( simtri(U_186,U_185,U_184,U_183,U_182,U_181)
| ~ simtri(U_185,U_186,U_184,U_182,U_183,U_181) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
fof(f_32_3,plain,
! [U_181,U_182,U_183,U_184,U_185,U_186] :
( simtri(U_186,U_185,U_184,U_183,U_182,U_181)
| ~ simtri(U_185,U_186,U_184,U_182,U_183,U_181) ),
inference(definitional_conversion,[status(esa)],[f_32_2]) ).
cnf(f_32_4,plain,
( simtri(U_186,U_185,U_184,U_183,U_182,U_181)
| ~ simtri(U_185,U_186,U_184,U_182,U_183,U_181) ),
inference(clausify,[status(thm)],[f_32_3]) ).
fof(f_33_1,plain,
! [A,B,C,P,Q,R] :
( simtri(A,B,C,P,Q,R)
| ~ simtri(P,Q,R,A,B,C) ),
inference(fof_nnf,[status(thm)],[ruleD33]) ).
fof(f_33_2,plain,
! [U_192,U_191,U_190,U_189,U_188,U_187] :
( simtri(U_192,U_191,U_190,U_189,U_188,U_187)
| ~ simtri(U_189,U_188,U_187,U_192,U_191,U_190) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
fof(f_33_3,plain,
! [U_187,U_188,U_189,U_190,U_191,U_192] :
( simtri(U_192,U_191,U_190,U_189,U_188,U_187)
| ~ simtri(U_189,U_188,U_187,U_192,U_191,U_190) ),
inference(definitional_conversion,[status(esa)],[f_33_2]) ).
cnf(f_33_4,plain,
( simtri(U_192,U_191,U_190,U_189,U_188,U_187)
| ~ simtri(U_189,U_188,U_187,U_192,U_191,U_190) ),
inference(clausify,[status(thm)],[f_33_3]) ).
fof(f_34_1,plain,
! [A,B,C,E,F,G,P,Q,R] :
( simtri(A,B,C,P,Q,R)
| ~ simtri(E,F,G,P,Q,R)
| ~ simtri(A,B,C,E,F,G) ),
inference(fof_nnf,[status(thm)],[ruleD34]) ).
fof(f_34_2,plain,
! [U_201,U_200,U_199,U_198,U_197,U_196,U_195,U_194,U_193] :
( simtri(U_201,U_200,U_199,U_195,U_194,U_193)
| ~ simtri(U_198,U_197,U_196,U_195,U_194,U_193)
| ~ simtri(U_201,U_200,U_199,U_198,U_197,U_196) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
fof(f_34_3,plain,
! [U_196,U_195,U_193,U_194,U_197,U_198,U_199,U_200,U_201] :
( simtri(U_201,U_200,U_199,U_195,U_194,U_193)
| ~ simtri(U_198,U_197,U_196,U_195,U_194,U_193)
| ~ simtri(U_201,U_200,U_199,U_198,U_197,U_196) ),
inference(definitional_conversion,[status(esa)],[f_34_2]) ).
cnf(f_34_4,plain,
( simtri(U_201,U_200,U_199,U_195,U_194,U_193)
| ~ simtri(U_198,U_197,U_196,U_195,U_194,U_193)
| ~ simtri(U_201,U_200,U_199,U_198,U_197,U_196) ),
inference(clausify,[status(thm)],[f_34_3]) ).
fof(f_35_1,plain,
! [A,B,C,P,Q,R] :
( contri(A,B,C,P,Q,R)
| ~ contri(A,C,B,P,R,Q) ),
inference(fof_nnf,[status(thm)],[ruleD35]) ).
fof(f_35_2,plain,
! [U_207,U_206,U_205,U_204,U_203,U_202] :
( contri(U_207,U_206,U_205,U_204,U_203,U_202)
| ~ contri(U_207,U_205,U_206,U_204,U_202,U_203) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
fof(f_35_3,plain,
! [U_207,U_202,U_203,U_204,U_206,U_205] :
( contri(U_207,U_206,U_205,U_204,U_203,U_202)
| ~ contri(U_207,U_205,U_206,U_204,U_202,U_203) ),
inference(definitional_conversion,[status(esa)],[f_35_2]) ).
cnf(f_35_4,plain,
( contri(U_207,U_206,U_205,U_204,U_203,U_202)
| ~ contri(U_207,U_205,U_206,U_204,U_202,U_203) ),
inference(clausify,[status(thm)],[f_35_3]) ).
fof(f_36_1,plain,
! [A,B,C,P,Q,R] :
( contri(A,B,C,P,Q,R)
| ~ contri(B,A,C,Q,P,R) ),
inference(fof_nnf,[status(thm)],[ruleD36]) ).
fof(f_36_2,plain,
! [U_213,U_212,U_211,U_210,U_209,U_208] :
( contri(U_213,U_212,U_211,U_210,U_209,U_208)
| ~ contri(U_212,U_213,U_211,U_209,U_210,U_208) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
fof(f_36_3,plain,
! [U_208,U_209,U_210,U_211,U_212,U_213] :
( contri(U_213,U_212,U_211,U_210,U_209,U_208)
| ~ contri(U_212,U_213,U_211,U_209,U_210,U_208) ),
inference(definitional_conversion,[status(esa)],[f_36_2]) ).
cnf(f_36_4,plain,
( contri(U_213,U_212,U_211,U_210,U_209,U_208)
| ~ contri(U_212,U_213,U_211,U_209,U_210,U_208) ),
inference(clausify,[status(thm)],[f_36_3]) ).
fof(f_37_1,plain,
! [A,B,C,P,Q,R] :
( contri(A,B,C,P,Q,R)
| ~ contri(P,Q,R,A,B,C) ),
inference(fof_nnf,[status(thm)],[ruleD37]) ).
fof(f_37_2,plain,
! [U_219,U_218,U_217,U_216,U_215,U_214] :
( contri(U_219,U_218,U_217,U_216,U_215,U_214)
| ~ contri(U_216,U_215,U_214,U_219,U_218,U_217) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
fof(f_37_3,plain,
! [U_214,U_215,U_216,U_217,U_218,U_219] :
( contri(U_219,U_218,U_217,U_216,U_215,U_214)
| ~ contri(U_216,U_215,U_214,U_219,U_218,U_217) ),
inference(definitional_conversion,[status(esa)],[f_37_2]) ).
cnf(f_37_4,plain,
( contri(U_219,U_218,U_217,U_216,U_215,U_214)
| ~ contri(U_216,U_215,U_214,U_219,U_218,U_217) ),
inference(clausify,[status(thm)],[f_37_3]) ).
fof(f_38_1,plain,
! [A,B,C,E,F,G,P,Q,R] :
( contri(A,B,C,P,Q,R)
| ~ contri(E,F,G,P,Q,R)
| ~ contri(A,B,C,E,F,G) ),
inference(fof_nnf,[status(thm)],[ruleD38]) ).
fof(f_38_2,plain,
! [U_228,U_227,U_226,U_225,U_224,U_223,U_222,U_221,U_220] :
( contri(U_228,U_227,U_226,U_222,U_221,U_220)
| ~ contri(U_225,U_224,U_223,U_222,U_221,U_220)
| ~ contri(U_228,U_227,U_226,U_225,U_224,U_223) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
fof(f_38_3,plain,
! [U_220,U_221,U_222,U_223,U_224,U_225,U_226,U_227,U_228] :
( contri(U_228,U_227,U_226,U_222,U_221,U_220)
| ~ contri(U_225,U_224,U_223,U_222,U_221,U_220)
| ~ contri(U_228,U_227,U_226,U_225,U_224,U_223) ),
inference(definitional_conversion,[status(esa)],[f_38_2]) ).
cnf(f_38_4,plain,
( contri(U_228,U_227,U_226,U_222,U_221,U_220)
| ~ contri(U_225,U_224,U_223,U_222,U_221,U_220)
| ~ contri(U_228,U_227,U_226,U_225,U_224,U_223) ),
inference(clausify,[status(thm)],[f_38_3]) ).
fof(f_39_1,plain,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
| ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(fof_nnf,[status(thm)],[ruleD39]) ).
fof(f_39_2,plain,
! [U_234,U_233,U_232,U_231,U_230,U_229] :
( para(U_234,U_233,U_232,U_231)
| ~ eqangle(U_234,U_233,U_230,U_229,U_232,U_231,U_230,U_229) ),
inference(variable_rename,[status(thm)],[f_39_1]) ).
fof(f_39_3,plain,
! [U_234,U_233,U_232,U_231] :
( ! [U_230,U_229] : ~ eqangle(U_234,U_233,U_230,U_229,U_232,U_231,U_230,U_229)
| para(U_234,U_233,U_232,U_231) ),
inference(miniscope,[status(thm)],[f_39_2]) ).
fof(f_39_4,plain,
! [U_233,U_230,U_229,U_234,U_231,U_232] :
( ~ eqangle(U_234,U_233,U_230,U_229,U_232,U_231,U_230,U_229)
| para(U_234,U_233,U_232,U_231) ),
inference(definitional_conversion,[status(esa)],[f_39_3]) ).
cnf(f_39_5,plain,
( ~ eqangle(U_234,U_233,U_230,U_229,U_232,U_231,U_230,U_229)
| para(U_234,U_233,U_232,U_231) ),
inference(clausify,[status(thm)],[f_39_4]) ).
fof(f_40_1,plain,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
| ~ para(A,B,C,D) ),
inference(fof_nnf,[status(thm)],[ruleD40]) ).
fof(f_40_2,plain,
! [U_240,U_239,U_238,U_237,U_236,U_235] :
( eqangle(U_240,U_239,U_236,U_235,U_238,U_237,U_236,U_235)
| ~ para(U_240,U_239,U_238,U_237) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
fof(f_40_3,plain,
! [U_240,U_239,U_238,U_237] :
( ! [U_236,U_235] : eqangle(U_240,U_239,U_236,U_235,U_238,U_237,U_236,U_235)
| ~ para(U_240,U_239,U_238,U_237) ),
inference(miniscope,[status(thm)],[f_40_2]) ).
fof(f_40_4,plain,
! [U_240,U_238,U_239,U_236,U_235,U_237] :
( eqangle(U_240,U_239,U_236,U_235,U_238,U_237,U_236,U_235)
| ~ para(U_240,U_239,U_238,U_237) ),
inference(definitional_conversion,[status(esa)],[f_40_3]) ).
cnf(f_40_5,plain,
( eqangle(U_240,U_239,U_236,U_235,U_238,U_237,U_236,U_235)
| ~ para(U_240,U_239,U_238,U_237) ),
inference(clausify,[status(thm)],[f_40_4]) ).
fof(f_41_1,plain,
! [A,B,P,Q] :
( eqangle(P,A,P,B,Q,A,Q,B)
| ~ cyclic(A,B,P,Q) ),
inference(fof_nnf,[status(thm)],[ruleD41]) ).
fof(f_41_2,plain,
! [U_244,U_243,U_242,U_241] :
( eqangle(U_242,U_244,U_242,U_243,U_241,U_244,U_241,U_243)
| ~ cyclic(U_244,U_243,U_242,U_241) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
fof(f_41_3,plain,
! [U_242,U_243,U_244,U_241] :
( eqangle(U_242,U_244,U_242,U_243,U_241,U_244,U_241,U_243)
| ~ cyclic(U_244,U_243,U_242,U_241) ),
inference(definitional_conversion,[status(esa)],[f_41_2]) ).
cnf(f_41_4,plain,
( eqangle(U_242,U_244,U_242,U_243,U_241,U_244,U_241,U_243)
| ~ cyclic(U_244,U_243,U_242,U_241) ),
inference(clausify,[status(thm)],[f_41_3]) ).
fof(f_42_1,plain,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
| coll(P,Q,A)
| ~ eqangle(P,A,P,B,Q,A,Q,B) ),
inference(fof_nnf,[status(thm)],[ruleD42a]) ).
fof(f_42_2,plain,
! [U_248,U_247,U_246,U_245] :
( cyclic(U_248,U_247,U_246,U_245)
| coll(U_246,U_245,U_248)
| ~ eqangle(U_246,U_248,U_246,U_247,U_245,U_248,U_245,U_247) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
fof(f_42_3,plain,
! [U_246,U_245,U_247,U_248] :
( cyclic(U_248,U_247,U_246,U_245)
| coll(U_246,U_245,U_248)
| ~ eqangle(U_246,U_248,U_246,U_247,U_245,U_248,U_245,U_247) ),
inference(definitional_conversion,[status(esa)],[f_42_2]) ).
cnf(f_42_4,plain,
( cyclic(U_248,U_247,U_246,U_245)
| coll(U_246,U_245,U_248)
| ~ eqangle(U_246,U_248,U_246,U_247,U_245,U_248,U_245,U_247) ),
inference(clausify,[status(thm)],[f_42_3]) ).
fof(f_43_1,plain,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
| ~ coll(P,Q,B)
| ~ eqangle(P,A,P,B,Q,A,Q,B) ),
inference(fof_nnf,[status(thm)],[ruleD42b]) ).
fof(f_43_2,plain,
! [U_252,U_251,U_250,U_249] :
( cyclic(U_252,U_251,U_250,U_249)
| ~ coll(U_250,U_249,U_251)
| ~ eqangle(U_250,U_252,U_250,U_251,U_249,U_252,U_249,U_251) ),
inference(variable_rename,[status(thm)],[f_43_1]) ).
fof(f_43_3,plain,
! [U_250,U_249,U_251,U_252] :
( cyclic(U_252,U_251,U_250,U_249)
| ~ coll(U_250,U_249,U_251)
| ~ eqangle(U_250,U_252,U_250,U_251,U_249,U_252,U_249,U_251) ),
inference(definitional_conversion,[status(esa)],[f_43_2]) ).
cnf(f_43_4,plain,
( cyclic(U_252,U_251,U_250,U_249)
| ~ coll(U_250,U_249,U_251)
| ~ eqangle(U_250,U_252,U_250,U_251,U_249,U_252,U_249,U_251) ),
inference(clausify,[status(thm)],[f_43_3]) ).
fof(f_44_1,plain,
! [A,B,C,P,Q,R] :
( cong(A,B,P,Q)
| ~ eqangle(C,A,C,B,R,P,R,Q)
| ~ cyclic(A,B,C,R)
| ~ cyclic(A,B,C,Q)
| ~ cyclic(A,B,C,P) ),
inference(fof_nnf,[status(thm)],[ruleD43]) ).
fof(f_44_2,plain,
! [U_258,U_257,U_256,U_255,U_254,U_253] :
( cong(U_258,U_257,U_255,U_254)
| ~ eqangle(U_256,U_258,U_256,U_257,U_253,U_255,U_253,U_254)
| ~ cyclic(U_258,U_257,U_256,U_253)
| ~ cyclic(U_258,U_257,U_256,U_254)
| ~ cyclic(U_258,U_257,U_256,U_255) ),
inference(variable_rename,[status(thm)],[f_44_1]) ).
fof(f_44_3,plain,
! [U_258,U_257,U_256,U_255,U_254] :
( ! [U_253] :
( ~ eqangle(U_256,U_258,U_256,U_257,U_253,U_255,U_253,U_254)
| ~ cyclic(U_258,U_257,U_256,U_253) )
| ~ cyclic(U_258,U_257,U_256,U_254)
| ~ cyclic(U_258,U_257,U_256,U_255)
| cong(U_258,U_257,U_255,U_254) ),
inference(miniscope,[status(thm)],[f_44_2]) ).
fof(f_44_4,plain,
! [U_254,U_255,U_256,U_257,U_258,U_253] :
( ~ eqangle(U_256,U_258,U_256,U_257,U_253,U_255,U_253,U_254)
| ~ cyclic(U_258,U_257,U_256,U_253)
| ~ cyclic(U_258,U_257,U_256,U_254)
| ~ cyclic(U_258,U_257,U_256,U_255)
| cong(U_258,U_257,U_255,U_254) ),
inference(definitional_conversion,[status(esa)],[f_44_3]) ).
cnf(f_44_5,plain,
( ~ eqangle(U_256,U_258,U_256,U_257,U_253,U_255,U_253,U_254)
| ~ cyclic(U_258,U_257,U_256,U_253)
| ~ cyclic(U_258,U_257,U_256,U_254)
| ~ cyclic(U_258,U_257,U_256,U_255)
| cong(U_258,U_257,U_255,U_254) ),
inference(clausify,[status(thm)],[f_44_4]) ).
fof(f_45_1,plain,
! [A,B,C,E,F] :
( para(E,F,B,C)
| ~ midp(F,A,C)
| ~ midp(E,A,B) ),
inference(fof_nnf,[status(thm)],[ruleD44]) ).
fof(f_45_2,plain,
! [U_263,U_262,U_261,U_260,U_259] :
( para(U_260,U_259,U_262,U_261)
| ~ midp(U_259,U_263,U_261)
| ~ midp(U_260,U_263,U_262) ),
inference(variable_rename,[status(thm)],[f_45_1]) ).
fof(f_45_3,plain,
! [U_262,U_259,U_263,U_261,U_260] :
( para(U_260,U_259,U_262,U_261)
| ~ midp(U_259,U_263,U_261)
| ~ midp(U_260,U_263,U_262) ),
inference(definitional_conversion,[status(esa)],[f_45_2]) ).
cnf(f_45_4,plain,
( para(U_260,U_259,U_262,U_261)
| ~ midp(U_259,U_263,U_261)
| ~ midp(U_260,U_263,U_262) ),
inference(clausify,[status(thm)],[f_45_3]) ).
fof(f_46_1,plain,
! [A,B,C,E,F] :
( midp(F,A,C)
| ~ coll(F,A,C)
| ~ para(E,F,B,C)
| ~ midp(E,A,B) ),
inference(fof_nnf,[status(thm)],[ruleD45]) ).
fof(f_46_2,plain,
! [U_268,U_267,U_266,U_265,U_264] :
( midp(U_264,U_268,U_266)
| ~ coll(U_264,U_268,U_266)
| ~ para(U_265,U_264,U_267,U_266)
| ~ midp(U_265,U_268,U_267) ),
inference(variable_rename,[status(thm)],[f_46_1]) ).
fof(f_46_3,plain,
! [U_266,U_264,U_265,U_267,U_268] :
( midp(U_264,U_268,U_266)
| ~ coll(U_264,U_268,U_266)
| ~ para(U_265,U_264,U_267,U_266)
| ~ midp(U_265,U_268,U_267) ),
inference(definitional_conversion,[status(esa)],[f_46_2]) ).
cnf(f_46_4,plain,
( midp(U_264,U_268,U_266)
| ~ coll(U_264,U_268,U_266)
| ~ para(U_265,U_264,U_267,U_266)
| ~ midp(U_265,U_268,U_267) ),
inference(clausify,[status(thm)],[f_46_3]) ).
fof(f_47_1,plain,
! [A,B,O] :
( eqangle(O,A,A,B,A,B,O,B)
| ~ cong(O,A,O,B) ),
inference(fof_nnf,[status(thm)],[ruleD46]) ).
fof(f_47_2,plain,
! [U_271,U_270,U_269] :
( eqangle(U_269,U_271,U_271,U_270,U_271,U_270,U_269,U_270)
| ~ cong(U_269,U_271,U_269,U_270) ),
inference(variable_rename,[status(thm)],[f_47_1]) ).
fof(f_47_3,plain,
! [U_269,U_270,U_271] :
( eqangle(U_269,U_271,U_271,U_270,U_271,U_270,U_269,U_270)
| ~ cong(U_269,U_271,U_269,U_270) ),
inference(definitional_conversion,[status(esa)],[f_47_2]) ).
cnf(f_47_4,plain,
( eqangle(U_269,U_271,U_271,U_270,U_271,U_270,U_269,U_270)
| ~ cong(U_269,U_271,U_269,U_270) ),
inference(clausify,[status(thm)],[f_47_3]) ).
fof(f_48_1,plain,
! [A,B,O] :
( cong(O,A,O,B)
| coll(O,A,B)
| ~ eqangle(O,A,A,B,A,B,O,B) ),
inference(fof_nnf,[status(thm)],[ruleD47]) ).
fof(f_48_2,plain,
! [U_274,U_273,U_272] :
( cong(U_272,U_274,U_272,U_273)
| coll(U_272,U_274,U_273)
| ~ eqangle(U_272,U_274,U_274,U_273,U_274,U_273,U_272,U_273) ),
inference(variable_rename,[status(thm)],[f_48_1]) ).
fof(f_48_3,plain,
! [U_273,U_272,U_274] :
( cong(U_272,U_274,U_272,U_273)
| coll(U_272,U_274,U_273)
| ~ eqangle(U_272,U_274,U_274,U_273,U_274,U_273,U_272,U_273) ),
inference(definitional_conversion,[status(esa)],[f_48_2]) ).
cnf(f_48_4,plain,
( cong(U_272,U_274,U_272,U_273)
| coll(U_272,U_274,U_273)
| ~ eqangle(U_272,U_274,U_274,U_273,U_274,U_273,U_272,U_273) ),
inference(clausify,[status(thm)],[f_48_3]) ).
fof(f_49_1,plain,
! [A,B,C,O,X] :
( eqangle(A,X,A,B,C,A,C,B)
| ~ perp(O,A,A,X)
| ~ circle(O,A,B,C) ),
inference(fof_nnf,[status(thm)],[ruleD48]) ).
fof(f_49_2,plain,
! [U_279,U_278,U_277,U_276,U_275] :
( eqangle(U_279,U_275,U_279,U_278,U_277,U_279,U_277,U_278)
| ~ perp(U_276,U_279,U_279,U_275)
| ~ circle(U_276,U_279,U_278,U_277) ),
inference(variable_rename,[status(thm)],[f_49_1]) ).
fof(f_49_3,plain,
! [U_277,U_276,U_275,U_278,U_279] :
( eqangle(U_279,U_275,U_279,U_278,U_277,U_279,U_277,U_278)
| ~ perp(U_276,U_279,U_279,U_275)
| ~ circle(U_276,U_279,U_278,U_277) ),
inference(definitional_conversion,[status(esa)],[f_49_2]) ).
cnf(f_49_4,plain,
( eqangle(U_279,U_275,U_279,U_278,U_277,U_279,U_277,U_278)
| ~ perp(U_276,U_279,U_279,U_275)
| ~ circle(U_276,U_279,U_278,U_277) ),
inference(clausify,[status(thm)],[f_49_3]) ).
fof(f_50_1,plain,
! [A,B,C,O,X] :
( perp(O,A,A,X)
| ~ eqangle(A,X,A,B,C,A,C,B)
| ~ circle(O,A,B,C) ),
inference(fof_nnf,[status(thm)],[ruleD49]) ).
fof(f_50_2,plain,
! [U_284,U_283,U_282,U_281,U_280] :
( perp(U_281,U_284,U_284,U_280)
| ~ eqangle(U_284,U_280,U_284,U_283,U_282,U_284,U_282,U_283)
| ~ circle(U_281,U_284,U_283,U_282) ),
inference(variable_rename,[status(thm)],[f_50_1]) ).
fof(f_50_3,plain,
! [U_280,U_283,U_282,U_284,U_281] :
( perp(U_281,U_284,U_284,U_280)
| ~ eqangle(U_284,U_280,U_284,U_283,U_282,U_284,U_282,U_283)
| ~ circle(U_281,U_284,U_283,U_282) ),
inference(definitional_conversion,[status(esa)],[f_50_2]) ).
cnf(f_50_4,plain,
( perp(U_281,U_284,U_284,U_280)
| ~ eqangle(U_284,U_280,U_284,U_283,U_282,U_284,U_282,U_283)
| ~ circle(U_281,U_284,U_283,U_282) ),
inference(clausify,[status(thm)],[f_50_3]) ).
fof(f_51_1,plain,
! [A,B,C,O,M] :
( eqangle(A,B,A,C,O,B,O,M)
| ~ midp(M,B,C)
| ~ circle(O,A,B,C) ),
inference(fof_nnf,[status(thm)],[ruleD50]) ).
fof(f_51_2,plain,
! [U_289,U_288,U_287,U_286,U_285] :
( eqangle(U_289,U_288,U_289,U_287,U_286,U_288,U_286,U_285)
| ~ midp(U_285,U_288,U_287)
| ~ circle(U_286,U_289,U_288,U_287) ),
inference(variable_rename,[status(thm)],[f_51_1]) ).
fof(f_51_3,plain,
! [U_289,U_287,U_288,U_285,U_286] :
( eqangle(U_289,U_288,U_289,U_287,U_286,U_288,U_286,U_285)
| ~ midp(U_285,U_288,U_287)
| ~ circle(U_286,U_289,U_288,U_287) ),
inference(definitional_conversion,[status(esa)],[f_51_2]) ).
cnf(f_51_4,plain,
( eqangle(U_289,U_288,U_289,U_287,U_286,U_288,U_286,U_285)
| ~ midp(U_285,U_288,U_287)
| ~ circle(U_286,U_289,U_288,U_287) ),
inference(clausify,[status(thm)],[f_51_3]) ).
fof(f_52_1,plain,
! [A,B,C,O,M] :
( midp(M,B,C)
| ~ eqangle(A,B,A,C,O,B,O,M)
| ~ coll(M,B,C)
| ~ circle(O,A,B,C) ),
inference(fof_nnf,[status(thm)],[ruleD51]) ).
fof(f_52_2,plain,
! [U_294,U_293,U_292,U_291,U_290] :
( midp(U_290,U_293,U_292)
| ~ eqangle(U_294,U_293,U_294,U_292,U_291,U_293,U_291,U_290)
| ~ coll(U_290,U_293,U_292)
| ~ circle(U_291,U_294,U_293,U_292) ),
inference(variable_rename,[status(thm)],[f_52_1]) ).
fof(f_52_3,plain,
! [U_290,U_291,U_292,U_293,U_294] :
( midp(U_290,U_293,U_292)
| ~ eqangle(U_294,U_293,U_294,U_292,U_291,U_293,U_291,U_290)
| ~ coll(U_290,U_293,U_292)
| ~ circle(U_291,U_294,U_293,U_292) ),
inference(definitional_conversion,[status(esa)],[f_52_2]) ).
cnf(f_52_4,plain,
( midp(U_290,U_293,U_292)
| ~ eqangle(U_294,U_293,U_294,U_292,U_291,U_293,U_291,U_290)
| ~ coll(U_290,U_293,U_292)
| ~ circle(U_291,U_294,U_293,U_292) ),
inference(clausify,[status(thm)],[f_52_3]) ).
fof(f_53_1,plain,
! [A,B,C,M] :
( cong(A,M,B,M)
| ~ midp(M,A,C)
| ~ perp(A,B,B,C) ),
inference(fof_nnf,[status(thm)],[ruleD52]) ).
fof(f_53_2,plain,
! [U_298,U_297,U_296,U_295] :
( cong(U_298,U_295,U_297,U_295)
| ~ midp(U_295,U_298,U_296)
| ~ perp(U_298,U_297,U_297,U_296) ),
inference(variable_rename,[status(thm)],[f_53_1]) ).
fof(f_53_3,plain,
! [U_295,U_296,U_297,U_298] :
( cong(U_298,U_295,U_297,U_295)
| ~ midp(U_295,U_298,U_296)
| ~ perp(U_298,U_297,U_297,U_296) ),
inference(definitional_conversion,[status(esa)],[f_53_2]) ).
cnf(f_53_4,plain,
( cong(U_298,U_295,U_297,U_295)
| ~ midp(U_295,U_298,U_296)
| ~ perp(U_298,U_297,U_297,U_296) ),
inference(clausify,[status(thm)],[f_53_3]) ).
fof(f_54_1,plain,
! [A,B,C,O] :
( perp(A,B,B,C)
| ~ coll(O,A,C)
| ~ circle(O,A,B,C) ),
inference(fof_nnf,[status(thm)],[ruleD53]) ).
fof(f_54_2,plain,
! [U_302,U_301,U_300,U_299] :
( perp(U_302,U_301,U_301,U_300)
| ~ coll(U_299,U_302,U_300)
| ~ circle(U_299,U_302,U_301,U_300) ),
inference(variable_rename,[status(thm)],[f_54_1]) ).
fof(f_54_3,plain,
! [U_302,U_301,U_300] :
( ! [U_299] :
( ~ coll(U_299,U_302,U_300)
| ~ circle(U_299,U_302,U_301,U_300) )
| perp(U_302,U_301,U_301,U_300) ),
inference(miniscope,[status(thm)],[f_54_2]) ).
fof(f_54_4,plain,
! [U_299,U_302,U_301,U_300] :
( ~ coll(U_299,U_302,U_300)
| ~ circle(U_299,U_302,U_301,U_300)
| perp(U_302,U_301,U_301,U_300) ),
inference(definitional_conversion,[status(esa)],[f_54_3]) ).
cnf(f_54_5,plain,
( ~ coll(U_299,U_302,U_300)
| ~ circle(U_299,U_302,U_301,U_300)
| perp(U_302,U_301,U_301,U_300) ),
inference(clausify,[status(thm)],[f_54_4]) ).
fof(f_55_1,plain,
! [A,B,C,D] :
( eqangle(A,D,C,D,C,D,C,B)
| ~ para(A,B,C,D)
| ~ cyclic(A,B,C,D) ),
inference(fof_nnf,[status(thm)],[ruleD54]) ).
fof(f_55_2,plain,
! [U_306,U_305,U_304,U_303] :
( eqangle(U_306,U_303,U_304,U_303,U_304,U_303,U_304,U_305)
| ~ para(U_306,U_305,U_304,U_303)
| ~ cyclic(U_306,U_305,U_304,U_303) ),
inference(variable_rename,[status(thm)],[f_55_1]) ).
fof(f_55_3,plain,
! [U_304,U_305,U_303,U_306] :
( eqangle(U_306,U_303,U_304,U_303,U_304,U_303,U_304,U_305)
| ~ para(U_306,U_305,U_304,U_303)
| ~ cyclic(U_306,U_305,U_304,U_303) ),
inference(definitional_conversion,[status(esa)],[f_55_2]) ).
cnf(f_55_4,plain,
( eqangle(U_306,U_303,U_304,U_303,U_304,U_303,U_304,U_305)
| ~ para(U_306,U_305,U_304,U_303)
| ~ cyclic(U_306,U_305,U_304,U_303) ),
inference(clausify,[status(thm)],[f_55_3]) ).
fof(f_56_1,plain,
! [A,B,M,O] :
( cong(O,A,O,B)
| ~ perp(O,M,A,B)
| ~ midp(M,A,B) ),
inference(fof_nnf,[status(thm)],[ruleD55]) ).
fof(f_56_2,plain,
! [U_310,U_309,U_308,U_307] :
( cong(U_307,U_310,U_307,U_309)
| ~ perp(U_307,U_308,U_310,U_309)
| ~ midp(U_308,U_310,U_309) ),
inference(variable_rename,[status(thm)],[f_56_1]) ).
fof(f_56_3,plain,
! [U_310,U_308,U_307,U_309] :
( cong(U_307,U_310,U_307,U_309)
| ~ perp(U_307,U_308,U_310,U_309)
| ~ midp(U_308,U_310,U_309) ),
inference(definitional_conversion,[status(esa)],[f_56_2]) ).
cnf(f_56_4,plain,
( cong(U_307,U_310,U_307,U_309)
| ~ perp(U_307,U_308,U_310,U_309)
| ~ midp(U_308,U_310,U_309) ),
inference(clausify,[status(thm)],[f_56_3]) ).
fof(f_57_1,plain,
! [A,B,P,Q] :
( perp(A,B,P,Q)
| ~ cong(A,Q,B,Q)
| ~ cong(A,P,B,P) ),
inference(fof_nnf,[status(thm)],[ruleD56]) ).
fof(f_57_2,plain,
! [U_314,U_313,U_312,U_311] :
( perp(U_314,U_313,U_312,U_311)
| ~ cong(U_314,U_311,U_313,U_311)
| ~ cong(U_314,U_312,U_313,U_312) ),
inference(variable_rename,[status(thm)],[f_57_1]) ).
fof(f_57_3,plain,
! [U_314,U_313,U_312,U_311] :
( perp(U_314,U_313,U_312,U_311)
| ~ cong(U_314,U_311,U_313,U_311)
| ~ cong(U_314,U_312,U_313,U_312) ),
inference(definitional_conversion,[status(esa)],[f_57_2]) ).
cnf(f_57_4,plain,
( perp(U_314,U_313,U_312,U_311)
| ~ cong(U_314,U_311,U_313,U_311)
| ~ cong(U_314,U_312,U_313,U_312) ),
inference(clausify,[status(thm)],[f_57_3]) ).
fof(f_58_1,plain,
! [A,B,P,Q] :
( perp(P,A,A,Q)
| ~ cyclic(A,B,P,Q)
| ~ cong(A,Q,B,Q)
| ~ cong(A,P,B,P) ),
inference(fof_nnf,[status(thm)],[ruleD57]) ).
fof(f_58_2,plain,
! [U_318,U_317,U_316,U_315] :
( perp(U_316,U_318,U_318,U_315)
| ~ cyclic(U_318,U_317,U_316,U_315)
| ~ cong(U_318,U_315,U_317,U_315)
| ~ cong(U_318,U_316,U_317,U_316) ),
inference(variable_rename,[status(thm)],[f_58_1]) ).
fof(f_58_3,plain,
! [U_315,U_317,U_316,U_318] :
( perp(U_316,U_318,U_318,U_315)
| ~ cyclic(U_318,U_317,U_316,U_315)
| ~ cong(U_318,U_315,U_317,U_315)
| ~ cong(U_318,U_316,U_317,U_316) ),
inference(definitional_conversion,[status(esa)],[f_58_2]) ).
cnf(f_58_4,plain,
( perp(U_316,U_318,U_318,U_315)
| ~ cyclic(U_318,U_317,U_316,U_315)
| ~ cong(U_318,U_315,U_317,U_315)
| ~ cong(U_318,U_316,U_317,U_316) ),
inference(clausify,[status(thm)],[f_58_3]) ).
fof(f_59_1,plain,
! [A,B,C,P,Q,R] :
( simtri(A,B,C,P,Q,R)
| coll(A,B,C)
| ~ eqangle(A,C,B,C,P,R,Q,R)
| ~ eqangle(A,B,B,C,P,Q,Q,R) ),
inference(fof_nnf,[status(thm)],[ruleD58]) ).
fof(f_59_2,plain,
! [U_324,U_323,U_322,U_321,U_320,U_319] :
( simtri(U_324,U_323,U_322,U_321,U_320,U_319)
| coll(U_324,U_323,U_322)
| ~ eqangle(U_324,U_322,U_323,U_322,U_321,U_319,U_320,U_319)
| ~ eqangle(U_324,U_323,U_323,U_322,U_321,U_320,U_320,U_319) ),
inference(variable_rename,[status(thm)],[f_59_1]) ).
fof(f_59_3,plain,
! [U_319,U_320,U_324,U_322,U_321,U_323] :
( simtri(U_324,U_323,U_322,U_321,U_320,U_319)
| coll(U_324,U_323,U_322)
| ~ eqangle(U_324,U_322,U_323,U_322,U_321,U_319,U_320,U_319)
| ~ eqangle(U_324,U_323,U_323,U_322,U_321,U_320,U_320,U_319) ),
inference(definitional_conversion,[status(esa)],[f_59_2]) ).
cnf(f_59_4,plain,
( simtri(U_324,U_323,U_322,U_321,U_320,U_319)
| coll(U_324,U_323,U_322)
| ~ eqangle(U_324,U_322,U_323,U_322,U_321,U_319,U_320,U_319)
| ~ eqangle(U_324,U_323,U_323,U_322,U_321,U_320,U_320,U_319) ),
inference(clausify,[status(thm)],[f_59_3]) ).
fof(f_60_1,plain,
! [A,B,C,P,Q,R] :
( eqratio(A,B,A,C,P,Q,P,R)
| ~ simtri(A,B,C,P,Q,R) ),
inference(fof_nnf,[status(thm)],[ruleD59]) ).
fof(f_60_2,plain,
! [U_330,U_329,U_328,U_327,U_326,U_325] :
( eqratio(U_330,U_329,U_330,U_328,U_327,U_326,U_327,U_325)
| ~ simtri(U_330,U_329,U_328,U_327,U_326,U_325) ),
inference(variable_rename,[status(thm)],[f_60_1]) ).
fof(f_60_3,plain,
! [U_329,U_330,U_325,U_327,U_326,U_328] :
( eqratio(U_330,U_329,U_330,U_328,U_327,U_326,U_327,U_325)
| ~ simtri(U_330,U_329,U_328,U_327,U_326,U_325) ),
inference(definitional_conversion,[status(esa)],[f_60_2]) ).
cnf(f_60_4,plain,
( eqratio(U_330,U_329,U_330,U_328,U_327,U_326,U_327,U_325)
| ~ simtri(U_330,U_329,U_328,U_327,U_326,U_325) ),
inference(clausify,[status(thm)],[f_60_3]) ).
fof(f_61_1,plain,
! [A,B,C,P,Q,R] :
( eqangle(A,B,B,C,P,Q,Q,R)
| ~ simtri(A,B,C,P,Q,R) ),
inference(fof_nnf,[status(thm)],[ruleD60]) ).
fof(f_61_2,plain,
! [U_336,U_335,U_334,U_333,U_332,U_331] :
( eqangle(U_336,U_335,U_335,U_334,U_333,U_332,U_332,U_331)
| ~ simtri(U_336,U_335,U_334,U_333,U_332,U_331) ),
inference(variable_rename,[status(thm)],[f_61_1]) ).
fof(f_61_3,plain,
! [U_332,U_331,U_333,U_334,U_335,U_336] :
( eqangle(U_336,U_335,U_335,U_334,U_333,U_332,U_332,U_331)
| ~ simtri(U_336,U_335,U_334,U_333,U_332,U_331) ),
inference(definitional_conversion,[status(esa)],[f_61_2]) ).
cnf(f_61_4,plain,
( eqangle(U_336,U_335,U_335,U_334,U_333,U_332,U_332,U_331)
| ~ simtri(U_336,U_335,U_334,U_333,U_332,U_331) ),
inference(clausify,[status(thm)],[f_61_3]) ).
fof(f_62_1,plain,
! [A,B,C,P,Q,R] :
( contri(A,B,C,P,Q,R)
| ~ cong(A,B,P,Q)
| ~ simtri(A,B,C,P,Q,R) ),
inference(fof_nnf,[status(thm)],[ruleD61]) ).
fof(f_62_2,plain,
! [U_342,U_341,U_340,U_339,U_338,U_337] :
( contri(U_342,U_341,U_340,U_339,U_338,U_337)
| ~ cong(U_342,U_341,U_339,U_338)
| ~ simtri(U_342,U_341,U_340,U_339,U_338,U_337) ),
inference(variable_rename,[status(thm)],[f_62_1]) ).
fof(f_62_3,plain,
! [U_337,U_338,U_339,U_340,U_341,U_342] :
( contri(U_342,U_341,U_340,U_339,U_338,U_337)
| ~ cong(U_342,U_341,U_339,U_338)
| ~ simtri(U_342,U_341,U_340,U_339,U_338,U_337) ),
inference(definitional_conversion,[status(esa)],[f_62_2]) ).
cnf(f_62_4,plain,
( contri(U_342,U_341,U_340,U_339,U_338,U_337)
| ~ cong(U_342,U_341,U_339,U_338)
| ~ simtri(U_342,U_341,U_340,U_339,U_338,U_337) ),
inference(clausify,[status(thm)],[f_62_3]) ).
fof(f_63_1,plain,
! [A,B,C,P,Q,R] :
( cong(A,B,P,Q)
| ~ contri(A,B,C,P,Q,R) ),
inference(fof_nnf,[status(thm)],[ruleD62]) ).
fof(f_63_2,plain,
! [U_348,U_347,U_346,U_345,U_344,U_343] :
( cong(U_348,U_347,U_345,U_344)
| ~ contri(U_348,U_347,U_346,U_345,U_344,U_343) ),
inference(variable_rename,[status(thm)],[f_63_1]) ).
fof(f_63_3,plain,
! [U_348,U_347,U_346,U_345,U_344] :
( ! [U_343] : ~ contri(U_348,U_347,U_346,U_345,U_344,U_343)
| cong(U_348,U_347,U_345,U_344) ),
inference(miniscope,[status(thm)],[f_63_2]) ).
fof(f_63_4,plain,
! [U_348,U_346,U_344,U_345,U_347,U_343] :
( ~ contri(U_348,U_347,U_346,U_345,U_344,U_343)
| cong(U_348,U_347,U_345,U_344) ),
inference(definitional_conversion,[status(esa)],[f_63_3]) ).
cnf(f_63_5,plain,
( ~ contri(U_348,U_347,U_346,U_345,U_344,U_343)
| cong(U_348,U_347,U_345,U_344) ),
inference(clausify,[status(thm)],[f_63_4]) ).
fof(f_64_1,plain,
! [A,B,C,D,M] :
( para(A,C,B,D)
| ~ midp(M,C,D)
| ~ midp(M,A,B) ),
inference(fof_nnf,[status(thm)],[ruleD63]) ).
fof(f_64_2,plain,
! [U_353,U_352,U_351,U_350,U_349] :
( para(U_353,U_351,U_352,U_350)
| ~ midp(U_349,U_351,U_350)
| ~ midp(U_349,U_353,U_352) ),
inference(variable_rename,[status(thm)],[f_64_1]) ).
fof(f_64_3,plain,
! [U_353,U_352,U_351,U_350] :
( ! [U_349] :
( ~ midp(U_349,U_351,U_350)
| ~ midp(U_349,U_353,U_352) )
| para(U_353,U_351,U_352,U_350) ),
inference(miniscope,[status(thm)],[f_64_2]) ).
fof(f_64_4,plain,
! [U_350,U_352,U_349,U_351,U_353] :
( ~ midp(U_349,U_351,U_350)
| ~ midp(U_349,U_353,U_352)
| para(U_353,U_351,U_352,U_350) ),
inference(definitional_conversion,[status(esa)],[f_64_3]) ).
cnf(f_64_5,plain,
( ~ midp(U_349,U_351,U_350)
| ~ midp(U_349,U_353,U_352)
| para(U_353,U_351,U_352,U_350) ),
inference(clausify,[status(thm)],[f_64_4]) ).
fof(f_65_1,plain,
! [A,B,C,D,M] :
( midp(M,C,D)
| ~ para(A,D,B,C)
| ~ para(A,C,B,D)
| ~ midp(M,A,B) ),
inference(fof_nnf,[status(thm)],[ruleD64]) ).
fof(f_65_2,plain,
! [U_358,U_357,U_356,U_355,U_354] :
( midp(U_354,U_356,U_355)
| ~ para(U_358,U_355,U_357,U_356)
| ~ para(U_358,U_356,U_357,U_355)
| ~ midp(U_354,U_358,U_357) ),
inference(variable_rename,[status(thm)],[f_65_1]) ).
fof(f_65_3,plain,
! [U_356,U_357,U_355,U_354,U_358] :
( midp(U_354,U_356,U_355)
| ~ para(U_358,U_355,U_357,U_356)
| ~ para(U_358,U_356,U_357,U_355)
| ~ midp(U_354,U_358,U_357) ),
inference(definitional_conversion,[status(esa)],[f_65_2]) ).
cnf(f_65_4,plain,
( midp(U_354,U_356,U_355)
| ~ para(U_358,U_355,U_357,U_356)
| ~ para(U_358,U_356,U_357,U_355)
| ~ midp(U_354,U_358,U_357) ),
inference(clausify,[status(thm)],[f_65_3]) ).
fof(f_66_1,plain,
! [A,B,C,D,O] :
( eqratio(O,A,A,C,O,B,B,D)
| ~ coll(O,B,D)
| ~ coll(O,A,C)
| ~ para(A,B,C,D) ),
inference(fof_nnf,[status(thm)],[ruleD65]) ).
fof(f_66_2,plain,
! [U_363,U_362,U_361,U_360,U_359] :
( eqratio(U_359,U_363,U_363,U_361,U_359,U_362,U_362,U_360)
| ~ coll(U_359,U_362,U_360)
| ~ coll(U_359,U_363,U_361)
| ~ para(U_363,U_362,U_361,U_360) ),
inference(variable_rename,[status(thm)],[f_66_1]) ).
fof(f_66_3,plain,
! [U_360,U_361,U_359,U_363,U_362] :
( eqratio(U_359,U_363,U_363,U_361,U_359,U_362,U_362,U_360)
| ~ coll(U_359,U_362,U_360)
| ~ coll(U_359,U_363,U_361)
| ~ para(U_363,U_362,U_361,U_360) ),
inference(definitional_conversion,[status(esa)],[f_66_2]) ).
cnf(f_66_4,plain,
( eqratio(U_359,U_363,U_363,U_361,U_359,U_362,U_362,U_360)
| ~ coll(U_359,U_362,U_360)
| ~ coll(U_359,U_363,U_361)
| ~ para(U_363,U_362,U_361,U_360) ),
inference(clausify,[status(thm)],[f_66_3]) ).
fof(f_67_1,plain,
! [A,B,C] :
( coll(A,B,C)
| ~ para(A,B,A,C) ),
inference(fof_nnf,[status(thm)],[ruleD66]) ).
fof(f_67_2,plain,
! [U_366,U_365,U_364] :
( coll(U_366,U_365,U_364)
| ~ para(U_366,U_365,U_366,U_364) ),
inference(variable_rename,[status(thm)],[f_67_1]) ).
fof(f_67_3,plain,
! [U_365,U_366,U_364] :
( coll(U_366,U_365,U_364)
| ~ para(U_366,U_365,U_366,U_364) ),
inference(definitional_conversion,[status(esa)],[f_67_2]) ).
cnf(f_67_4,plain,
( coll(U_366,U_365,U_364)
| ~ para(U_366,U_365,U_366,U_364) ),
inference(clausify,[status(thm)],[f_67_3]) ).
fof(f_68_1,plain,
! [A,B,C] :
( midp(A,B,C)
| ~ coll(A,B,C)
| ~ cong(A,B,A,C) ),
inference(fof_nnf,[status(thm)],[ruleD67]) ).
fof(f_68_2,plain,
! [U_369,U_368,U_367] :
( midp(U_369,U_368,U_367)
| ~ coll(U_369,U_368,U_367)
| ~ cong(U_369,U_368,U_369,U_367) ),
inference(variable_rename,[status(thm)],[f_68_1]) ).
fof(f_68_3,plain,
! [U_367,U_368,U_369] :
( midp(U_369,U_368,U_367)
| ~ coll(U_369,U_368,U_367)
| ~ cong(U_369,U_368,U_369,U_367) ),
inference(definitional_conversion,[status(esa)],[f_68_2]) ).
cnf(f_68_4,plain,
( midp(U_369,U_368,U_367)
| ~ coll(U_369,U_368,U_367)
| ~ cong(U_369,U_368,U_369,U_367) ),
inference(clausify,[status(thm)],[f_68_3]) ).
fof(f_69_1,plain,
! [A,B,C] :
( cong(A,B,A,C)
| ~ midp(A,B,C) ),
inference(fof_nnf,[status(thm)],[ruleD68]) ).
fof(f_69_2,plain,
! [U_372,U_371,U_370] :
( cong(U_372,U_371,U_372,U_370)
| ~ midp(U_372,U_371,U_370) ),
inference(variable_rename,[status(thm)],[f_69_1]) ).
fof(f_69_3,plain,
! [U_371,U_370,U_372] :
( cong(U_372,U_371,U_372,U_370)
| ~ midp(U_372,U_371,U_370) ),
inference(definitional_conversion,[status(esa)],[f_69_2]) ).
cnf(f_69_4,plain,
( cong(U_372,U_371,U_372,U_370)
| ~ midp(U_372,U_371,U_370) ),
inference(clausify,[status(thm)],[f_69_3]) ).
fof(f_70_1,plain,
! [A,B,C] :
( coll(A,B,C)
| ~ midp(A,B,C) ),
inference(fof_nnf,[status(thm)],[ruleD69]) ).
fof(f_70_2,plain,
! [U_375,U_374,U_373] :
( coll(U_375,U_374,U_373)
| ~ midp(U_375,U_374,U_373) ),
inference(variable_rename,[status(thm)],[f_70_1]) ).
fof(f_70_3,plain,
! [U_374,U_373,U_375] :
( coll(U_375,U_374,U_373)
| ~ midp(U_375,U_374,U_373) ),
inference(definitional_conversion,[status(esa)],[f_70_2]) ).
cnf(f_70_4,plain,
( coll(U_375,U_374,U_373)
| ~ midp(U_375,U_374,U_373) ),
inference(clausify,[status(thm)],[f_70_3]) ).
fof(f_71_1,plain,
! [A,B,C,D,M,N] :
( eqratio(M,A,A,B,N,C,C,D)
| ~ midp(N,C,D)
| ~ midp(M,A,B) ),
inference(fof_nnf,[status(thm)],[ruleD70]) ).
fof(f_71_2,plain,
! [U_381,U_380,U_379,U_378,U_377,U_376] :
( eqratio(U_377,U_381,U_381,U_380,U_376,U_379,U_379,U_378)
| ~ midp(U_376,U_379,U_378)
| ~ midp(U_377,U_381,U_380) ),
inference(variable_rename,[status(thm)],[f_71_1]) ).
fof(f_71_3,plain,
! [U_377,U_376,U_378,U_379,U_380,U_381] :
( eqratio(U_377,U_381,U_381,U_380,U_376,U_379,U_379,U_378)
| ~ midp(U_376,U_379,U_378)
| ~ midp(U_377,U_381,U_380) ),
inference(definitional_conversion,[status(esa)],[f_71_2]) ).
cnf(f_71_4,plain,
( eqratio(U_377,U_381,U_381,U_380,U_376,U_379,U_379,U_378)
| ~ midp(U_376,U_379,U_378)
| ~ midp(U_377,U_381,U_380) ),
inference(clausify,[status(thm)],[f_71_3]) ).
fof(f_72_1,plain,
! [A,B,C,D] :
( perp(A,B,C,D)
| para(A,B,C,D)
| ~ eqangle(A,B,C,D,C,D,A,B) ),
inference(fof_nnf,[status(thm)],[ruleD71]) ).
fof(f_72_2,plain,
! [U_385,U_384,U_383,U_382] :
( perp(U_385,U_384,U_383,U_382)
| para(U_385,U_384,U_383,U_382)
| ~ eqangle(U_385,U_384,U_383,U_382,U_383,U_382,U_385,U_384) ),
inference(variable_rename,[status(thm)],[f_72_1]) ).
fof(f_72_3,plain,
! [U_385,U_383,U_384,U_382] :
( perp(U_385,U_384,U_383,U_382)
| para(U_385,U_384,U_383,U_382)
| ~ eqangle(U_385,U_384,U_383,U_382,U_383,U_382,U_385,U_384) ),
inference(definitional_conversion,[status(esa)],[f_72_2]) ).
cnf(f_72_4,plain,
( perp(U_385,U_384,U_383,U_382)
| para(U_385,U_384,U_383,U_382)
| ~ eqangle(U_385,U_384,U_383,U_382,U_383,U_382,U_385,U_384) ),
inference(clausify,[status(thm)],[f_72_3]) ).
fof(f_73_1,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| perp(A,B,C,D)
| ~ eqangle(A,B,C,D,C,D,A,B) ),
inference(fof_nnf,[status(thm)],[ruleD72]) ).
fof(f_73_2,plain,
! [U_389,U_388,U_387,U_386] :
( para(U_389,U_388,U_387,U_386)
| perp(U_389,U_388,U_387,U_386)
| ~ eqangle(U_389,U_388,U_387,U_386,U_387,U_386,U_389,U_388) ),
inference(variable_rename,[status(thm)],[f_73_1]) ).
fof(f_73_3,plain,
! [U_389,U_386,U_387,U_388] :
( para(U_389,U_388,U_387,U_386)
| perp(U_389,U_388,U_387,U_386)
| ~ eqangle(U_389,U_388,U_387,U_386,U_387,U_386,U_389,U_388) ),
inference(definitional_conversion,[status(esa)],[f_73_2]) ).
cnf(f_73_4,plain,
( para(U_389,U_388,U_387,U_386)
| perp(U_389,U_388,U_387,U_386)
| ~ eqangle(U_389,U_388,U_387,U_386,U_387,U_386,U_389,U_388) ),
inference(clausify,[status(thm)],[f_73_3]) ).
fof(f_74_1,plain,
! [A,B,C,D,P,Q,U,V] :
( para(A,B,C,D)
| ~ para(P,Q,U,V)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(fof_nnf,[status(thm)],[ruleD73]) ).
fof(f_74_2,plain,
! [U_397,U_396,U_395,U_394,U_393,U_392,U_391,U_390] :
( para(U_397,U_396,U_395,U_394)
| ~ para(U_393,U_392,U_391,U_390)
| ~ eqangle(U_397,U_396,U_395,U_394,U_393,U_392,U_391,U_390) ),
inference(variable_rename,[status(thm)],[f_74_1]) ).
fof(f_74_3,plain,
! [U_397,U_396,U_395,U_394] :
( ! [U_393,U_392,U_391,U_390] :
( ~ para(U_393,U_392,U_391,U_390)
| ~ eqangle(U_397,U_396,U_395,U_394,U_393,U_392,U_391,U_390) )
| para(U_397,U_396,U_395,U_394) ),
inference(miniscope,[status(thm)],[f_74_2]) ).
fof(f_74_4,plain,
! [U_390,U_396,U_392,U_397,U_393,U_395,U_391,U_394] :
( ~ para(U_393,U_392,U_391,U_390)
| ~ eqangle(U_397,U_396,U_395,U_394,U_393,U_392,U_391,U_390)
| para(U_397,U_396,U_395,U_394) ),
inference(definitional_conversion,[status(esa)],[f_74_3]) ).
cnf(f_74_5,plain,
( ~ para(U_393,U_392,U_391,U_390)
| ~ eqangle(U_397,U_396,U_395,U_394,U_393,U_392,U_391,U_390)
| para(U_397,U_396,U_395,U_394) ),
inference(clausify,[status(thm)],[f_74_4]) ).
fof(f_75_1,plain,
! [A,B,C,D,P,Q,U,V] :
( perp(A,B,C,D)
| ~ perp(P,Q,U,V)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(fof_nnf,[status(thm)],[ruleD74]) ).
fof(f_75_2,plain,
! [U_405,U_404,U_403,U_402,U_401,U_400,U_399,U_398] :
( perp(U_405,U_404,U_403,U_402)
| ~ perp(U_401,U_400,U_399,U_398)
| ~ eqangle(U_405,U_404,U_403,U_402,U_401,U_400,U_399,U_398) ),
inference(variable_rename,[status(thm)],[f_75_1]) ).
fof(f_75_3,plain,
! [U_405,U_404,U_403,U_402] :
( ! [U_401,U_400,U_399,U_398] :
( ~ perp(U_401,U_400,U_399,U_398)
| ~ eqangle(U_405,U_404,U_403,U_402,U_401,U_400,U_399,U_398) )
| perp(U_405,U_404,U_403,U_402) ),
inference(miniscope,[status(thm)],[f_75_2]) ).
fof(f_75_4,plain,
! [U_401,U_402,U_398,U_404,U_400,U_405,U_399,U_403] :
( ~ perp(U_401,U_400,U_399,U_398)
| ~ eqangle(U_405,U_404,U_403,U_402,U_401,U_400,U_399,U_398)
| perp(U_405,U_404,U_403,U_402) ),
inference(definitional_conversion,[status(esa)],[f_75_3]) ).
cnf(f_75_5,plain,
( ~ perp(U_401,U_400,U_399,U_398)
| ~ eqangle(U_405,U_404,U_403,U_402,U_401,U_400,U_399,U_398)
| perp(U_405,U_404,U_403,U_402) ),
inference(clausify,[status(thm)],[f_75_4]) ).
fof(f_76_1,plain,
! [A,B,C,D,P,Q,U,V] :
( cong(A,B,C,D)
| ~ cong(P,Q,U,V)
| ~ eqratio(A,B,C,D,P,Q,U,V) ),
inference(fof_nnf,[status(thm)],[ruleD75]) ).
fof(f_76_2,plain,
! [U_413,U_412,U_411,U_410,U_409,U_408,U_407,U_406] :
( cong(U_413,U_412,U_411,U_410)
| ~ cong(U_409,U_408,U_407,U_406)
| ~ eqratio(U_413,U_412,U_411,U_410,U_409,U_408,U_407,U_406) ),
inference(variable_rename,[status(thm)],[f_76_1]) ).
fof(f_76_3,plain,
! [U_413,U_412,U_411,U_410] :
( ! [U_409,U_408,U_407,U_406] :
( ~ cong(U_409,U_408,U_407,U_406)
| ~ eqratio(U_413,U_412,U_411,U_410,U_409,U_408,U_407,U_406) )
| cong(U_413,U_412,U_411,U_410) ),
inference(miniscope,[status(thm)],[f_76_2]) ).
fof(f_76_4,plain,
! [U_406,U_411,U_409,U_413,U_412,U_410,U_408,U_407] :
( ~ cong(U_409,U_408,U_407,U_406)
| ~ eqratio(U_413,U_412,U_411,U_410,U_409,U_408,U_407,U_406)
| cong(U_413,U_412,U_411,U_410) ),
inference(definitional_conversion,[status(esa)],[f_76_3]) ).
cnf(f_76_5,plain,
( ~ cong(U_409,U_408,U_407,U_406)
| ~ eqratio(U_413,U_412,U_411,U_410,U_409,U_408,U_407,U_406)
| cong(U_413,U_412,U_411,U_410) ),
inference(clausify,[status(thm)],[f_76_4]) ).
fof(f_77_1,plain,
! [A,M,O,X] :
? [B] :
( ( coll(B,O,X)
& coll(B,A,M) )
| ~ eqangle(X,O,M,O,M,O,A,O)
| ~ perp(O,M,M,A) ),
inference(fof_nnf,[status(thm)],[ruleX1]) ).
fof(f_77_2,plain,
! [U_418,U_417,U_416,U_415] :
? [U_414] :
( ( coll(U_414,U_416,U_415)
& coll(U_414,U_418,U_417) )
| ~ eqangle(U_415,U_416,U_417,U_416,U_417,U_416,U_418,U_416)
| ~ perp(U_416,U_417,U_417,U_418) ),
inference(variable_rename,[status(thm)],[f_77_1]) ).
fof(f_77_3,plain,
! [U_418,U_417,U_416,U_415] :
( ? [U_414] :
( coll(U_414,U_416,U_415)
& coll(U_414,U_418,U_417) )
| ~ eqangle(U_415,U_416,U_417,U_416,U_417,U_416,U_418,U_416)
| ~ perp(U_416,U_417,U_417,U_418) ),
inference(miniscope,[status(thm)],[f_77_2]) ).
fof(f_77_4,plain,
! [U_418,U_417,U_416,U_415] :
( ( coll(sK1(U_418,U_417,U_416,U_415),U_416,U_415)
& coll(sK1(U_418,U_417,U_416,U_415),U_418,U_417) )
| ~ eqangle(U_415,U_416,U_417,U_416,U_417,U_416,U_418,U_416)
| ~ perp(U_416,U_417,U_417,U_418) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_414,sK1(U_418,U_417,U_416,U_415))],[f_77_3]) ).
fof(f_77_5,plain,
( ! [U_418,U_415,U_417,U_416] :
( coll(sK1(U_418,U_417,U_416,U_415),U_416,U_415)
| ~ sP0(U_418,U_415,U_417,U_416) )
& ! [U_418,U_415,U_417,U_416] :
( coll(sK1(U_418,U_417,U_416,U_415),U_418,U_417)
| ~ sP0(U_418,U_415,U_417,U_416) )
& ! [U_418,U_415,U_417,U_416] :
( sP0(U_418,U_415,U_417,U_416)
| ~ eqangle(U_415,U_416,U_417,U_416,U_417,U_416,U_418,U_416)
| ~ perp(U_416,U_417,U_417,U_418) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_77_4]) ).
cnf(f_77_6,plain,
( sP0(U_418,U_415,U_417,U_416)
| ~ eqangle(U_415,U_416,U_417,U_416,U_417,U_416,U_418,U_416)
| ~ perp(U_416,U_417,U_417,U_418) ),
inference(clausify,[status(thm)],[f_77_5]) ).
cnf(f_77_7,plain,
( coll(sK1(U_418,U_417,U_416,U_415),U_418,U_417)
| ~ sP0(U_418,U_415,U_417,U_416) ),
inference(clausify,[status(thm)],[f_77_5]) ).
cnf(f_77_8,plain,
( coll(sK1(U_418,U_417,U_416,U_415),U_416,U_415)
| ~ sP0(U_418,U_415,U_417,U_416) ),
inference(clausify,[status(thm)],[f_77_5]) ).
fof(f_78_1,plain,
! [A,B,O,X] :
? [M] :
( ( coll(M,O,X)
& coll(B,A,M) )
| ~ eqangle(A,O,O,X,O,X,O,B)
| ~ cong(O,A,O,B) ),
inference(fof_nnf,[status(thm)],[ruleX2]) ).
fof(f_78_2,plain,
! [U_423,U_422,U_421,U_420] :
? [U_419] :
( ( coll(U_419,U_421,U_420)
& coll(U_422,U_423,U_419) )
| ~ eqangle(U_423,U_421,U_421,U_420,U_421,U_420,U_421,U_422)
| ~ cong(U_421,U_423,U_421,U_422) ),
inference(variable_rename,[status(thm)],[f_78_1]) ).
fof(f_78_3,plain,
! [U_423,U_422,U_421,U_420] :
( ? [U_419] :
( coll(U_419,U_421,U_420)
& coll(U_422,U_423,U_419) )
| ~ eqangle(U_423,U_421,U_421,U_420,U_421,U_420,U_421,U_422)
| ~ cong(U_421,U_423,U_421,U_422) ),
inference(miniscope,[status(thm)],[f_78_2]) ).
fof(f_78_4,plain,
! [U_423,U_422,U_421,U_420] :
( ( coll(sK2(U_423,U_422,U_421,U_420),U_421,U_420)
& coll(U_422,U_423,sK2(U_423,U_422,U_421,U_420)) )
| ~ eqangle(U_423,U_421,U_421,U_420,U_421,U_420,U_421,U_422)
| ~ cong(U_421,U_423,U_421,U_422) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_419,sK2(U_423,U_422,U_421,U_420))],[f_78_3]) ).
fof(f_78_5,plain,
( ! [U_423,U_420,U_421,U_422] :
( coll(sK2(U_423,U_422,U_421,U_420),U_421,U_420)
| ~ sP1(U_423,U_420,U_421,U_422) )
& ! [U_423,U_420,U_421,U_422] :
( coll(U_422,U_423,sK2(U_423,U_422,U_421,U_420))
| ~ sP1(U_423,U_420,U_421,U_422) )
& ! [U_423,U_420,U_421,U_422] :
( sP1(U_423,U_420,U_421,U_422)
| ~ eqangle(U_423,U_421,U_421,U_420,U_421,U_420,U_421,U_422)
| ~ cong(U_421,U_423,U_421,U_422) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1])],[f_78_4]) ).
cnf(f_78_6,plain,
( sP1(U_423,U_420,U_421,U_422)
| ~ eqangle(U_423,U_421,U_421,U_420,U_421,U_420,U_421,U_422)
| ~ cong(U_421,U_423,U_421,U_422) ),
inference(clausify,[status(thm)],[f_78_5]) ).
cnf(f_78_7,plain,
( coll(U_422,U_423,sK2(U_423,U_422,U_421,U_420))
| ~ sP1(U_423,U_420,U_421,U_422) ),
inference(clausify,[status(thm)],[f_78_5]) ).
cnf(f_78_8,plain,
( coll(sK2(U_423,U_422,U_421,U_420),U_421,U_420)
| ~ sP1(U_423,U_420,U_421,U_422) ),
inference(clausify,[status(thm)],[f_78_5]) ).
fof(f_79_1,plain,
! [A,B,O,X] :
? [M] :
( ( coll(M,O,X)
& coll(B,A,M) )
| ~ eqangle(A,O,O,X,O,X,O,B)
| ~ perp(O,X,A,B) ),
inference(fof_nnf,[status(thm)],[ruleX3]) ).
fof(f_79_2,plain,
! [U_428,U_427,U_426,U_425] :
? [U_424] :
( ( coll(U_424,U_426,U_425)
& coll(U_427,U_428,U_424) )
| ~ eqangle(U_428,U_426,U_426,U_425,U_426,U_425,U_426,U_427)
| ~ perp(U_426,U_425,U_428,U_427) ),
inference(variable_rename,[status(thm)],[f_79_1]) ).
fof(f_79_3,plain,
! [U_428,U_427,U_426,U_425] :
( ? [U_424] :
( coll(U_424,U_426,U_425)
& coll(U_427,U_428,U_424) )
| ~ eqangle(U_428,U_426,U_426,U_425,U_426,U_425,U_426,U_427)
| ~ perp(U_426,U_425,U_428,U_427) ),
inference(miniscope,[status(thm)],[f_79_2]) ).
fof(f_79_4,plain,
! [U_428,U_427,U_426,U_425] :
( ( coll(sK3(U_428,U_427,U_426,U_425),U_426,U_425)
& coll(U_427,U_428,sK3(U_428,U_427,U_426,U_425)) )
| ~ eqangle(U_428,U_426,U_426,U_425,U_426,U_425,U_426,U_427)
| ~ perp(U_426,U_425,U_428,U_427) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_424,sK3(U_428,U_427,U_426,U_425))],[f_79_3]) ).
fof(f_79_5,plain,
( ! [U_428,U_425,U_426,U_427] :
( coll(sK3(U_428,U_427,U_426,U_425),U_426,U_425)
| ~ sP2(U_428,U_425,U_426,U_427) )
& ! [U_428,U_425,U_426,U_427] :
( coll(U_427,U_428,sK3(U_428,U_427,U_426,U_425))
| ~ sP2(U_428,U_425,U_426,U_427) )
& ! [U_428,U_425,U_426,U_427] :
( sP2(U_428,U_425,U_426,U_427)
| ~ eqangle(U_428,U_426,U_426,U_425,U_426,U_425,U_426,U_427)
| ~ perp(U_426,U_425,U_428,U_427) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP2])],[f_79_4]) ).
cnf(f_79_6,plain,
( sP2(U_428,U_425,U_426,U_427)
| ~ eqangle(U_428,U_426,U_426,U_425,U_426,U_425,U_426,U_427)
| ~ perp(U_426,U_425,U_428,U_427) ),
inference(clausify,[status(thm)],[f_79_5]) ).
cnf(f_79_7,plain,
( coll(U_427,U_428,sK3(U_428,U_427,U_426,U_425))
| ~ sP2(U_428,U_425,U_426,U_427) ),
inference(clausify,[status(thm)],[f_79_5]) ).
cnf(f_79_8,plain,
( coll(sK3(U_428,U_427,U_426,U_425),U_426,U_425)
| ~ sP2(U_428,U_425,U_426,U_427) ),
inference(clausify,[status(thm)],[f_79_5]) ).
fof(f_80_1,plain,
! [A,B,O,X] :
? [M] :
( ( coll(M,O,X)
& coll(B,A,M) )
| ~ cong(O,A,O,B)
| ~ perp(O,X,A,B) ),
inference(fof_nnf,[status(thm)],[ruleX4]) ).
fof(f_80_2,plain,
! [U_433,U_432,U_431,U_430] :
? [U_429] :
( ( coll(U_429,U_431,U_430)
& coll(U_432,U_433,U_429) )
| ~ cong(U_431,U_433,U_431,U_432)
| ~ perp(U_431,U_430,U_433,U_432) ),
inference(variable_rename,[status(thm)],[f_80_1]) ).
fof(f_80_3,plain,
! [U_433,U_432,U_431,U_430] :
( ? [U_429] :
( coll(U_429,U_431,U_430)
& coll(U_432,U_433,U_429) )
| ~ cong(U_431,U_433,U_431,U_432)
| ~ perp(U_431,U_430,U_433,U_432) ),
inference(miniscope,[status(thm)],[f_80_2]) ).
fof(f_80_4,plain,
! [U_433,U_432,U_431,U_430] :
( ( coll(sK4(U_433,U_432,U_431,U_430),U_431,U_430)
& coll(U_432,U_433,sK4(U_433,U_432,U_431,U_430)) )
| ~ cong(U_431,U_433,U_431,U_432)
| ~ perp(U_431,U_430,U_433,U_432) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_429,sK4(U_433,U_432,U_431,U_430))],[f_80_3]) ).
fof(f_80_5,plain,
( ! [U_431,U_430,U_433,U_432] :
( coll(sK4(U_433,U_432,U_431,U_430),U_431,U_430)
| ~ sP3(U_431,U_430,U_433,U_432) )
& ! [U_431,U_430,U_433,U_432] :
( coll(U_432,U_433,sK4(U_433,U_432,U_431,U_430))
| ~ sP3(U_431,U_430,U_433,U_432) )
& ! [U_431,U_430,U_433,U_432] :
( sP3(U_431,U_430,U_433,U_432)
| ~ cong(U_431,U_433,U_431,U_432)
| ~ perp(U_431,U_430,U_433,U_432) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP3])],[f_80_4]) ).
cnf(f_80_6,plain,
( sP3(U_431,U_430,U_433,U_432)
| ~ cong(U_431,U_433,U_431,U_432)
| ~ perp(U_431,U_430,U_433,U_432) ),
inference(clausify,[status(thm)],[f_80_5]) ).
cnf(f_80_7,plain,
( coll(U_432,U_433,sK4(U_433,U_432,U_431,U_430))
| ~ sP3(U_431,U_430,U_433,U_432) ),
inference(clausify,[status(thm)],[f_80_5]) ).
cnf(f_80_8,plain,
( coll(sK4(U_433,U_432,U_431,U_430),U_431,U_430)
| ~ sP3(U_431,U_430,U_433,U_432) ),
inference(clausify,[status(thm)],[f_80_5]) ).
fof(f_81_1,plain,
! [A,B,P,X,Y] :
? [Q] :
( ( cyclic(X,B,P,Q)
& eqangle(A,P,B,P,A,Q,B,Q) )
| coll(A,B,P)
| ~ eqangle(A,P,B,P,A,X,B,Y) ),
inference(fof_nnf,[status(thm)],[ruleX5]) ).
fof(f_81_2,plain,
! [U_439,U_438,U_437,U_436,U_435] :
? [U_434] :
( ( cyclic(U_436,U_438,U_437,U_434)
& eqangle(U_439,U_437,U_438,U_437,U_439,U_434,U_438,U_434) )
| coll(U_439,U_438,U_437)
| ~ eqangle(U_439,U_437,U_438,U_437,U_439,U_436,U_438,U_435) ),
inference(variable_rename,[status(thm)],[f_81_1]) ).
fof(f_81_3,plain,
! [U_439,U_438,U_437,U_436] :
( ! [U_435] : ~ eqangle(U_439,U_437,U_438,U_437,U_439,U_436,U_438,U_435)
| coll(U_439,U_438,U_437)
| ? [U_434] :
( cyclic(U_436,U_438,U_437,U_434)
& eqangle(U_439,U_437,U_438,U_437,U_439,U_434,U_438,U_434) ) ),
inference(miniscope,[status(thm)],[f_81_2]) ).
fof(f_81_4,plain,
! [U_439,U_438,U_437,U_436] :
( ! [U_435] : ~ eqangle(U_439,U_437,U_438,U_437,U_439,U_436,U_438,U_435)
| coll(U_439,U_438,U_437)
| ( cyclic(U_436,U_438,U_437,sK5(U_439,U_438,U_437,U_436))
& eqangle(U_439,U_437,U_438,U_437,U_439,sK5(U_439,U_438,U_437,U_436),U_438,sK5(U_439,U_438,U_437,U_436)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_434,sK5(U_439,U_438,U_437,U_436))],[f_81_3]) ).
fof(f_81_5,plain,
( ! [U_436,U_439,U_437,U_438] :
( cyclic(U_436,U_438,U_437,sK5(U_439,U_438,U_437,U_436))
| ~ sP4(U_436,U_439,U_437,U_438) )
& ! [U_436,U_439,U_437,U_438] :
( eqangle(U_439,U_437,U_438,U_437,U_439,sK5(U_439,U_438,U_437,U_436),U_438,sK5(U_439,U_438,U_437,U_436))
| ~ sP4(U_436,U_439,U_437,U_438) )
& ! [U_436,U_439,U_437,U_438,U_435] :
( ~ eqangle(U_439,U_437,U_438,U_437,U_439,U_436,U_438,U_435)
| coll(U_439,U_438,U_437)
| sP4(U_436,U_439,U_437,U_438) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP4])],[f_81_4]) ).
cnf(f_81_6,plain,
( ~ eqangle(U_439,U_437,U_438,U_437,U_439,U_436,U_438,U_435)
| coll(U_439,U_438,U_437)
| sP4(U_436,U_439,U_437,U_438) ),
inference(clausify,[status(thm)],[f_81_5]) ).
cnf(f_81_7,plain,
( eqangle(U_439,U_437,U_438,U_437,U_439,sK5(U_439,U_438,U_437,U_436),U_438,sK5(U_439,U_438,U_437,U_436))
| ~ sP4(U_436,U_439,U_437,U_438) ),
inference(clausify,[status(thm)],[f_81_5]) ).
cnf(f_81_8,plain,
( cyclic(U_436,U_438,U_437,sK5(U_439,U_438,U_437,U_436))
| ~ sP4(U_436,U_439,U_437,U_438) ),
inference(clausify,[status(thm)],[f_81_5]) ).
fof(f_82_1,plain,
! [A,B,C,D,M,N] :
? [P] :
( ( para(P,N,A,C)
& para(P,M,B,D)
& midp(P,A,D) )
| ~ midp(N,C,D)
| ~ midp(M,A,B) ),
inference(fof_nnf,[status(thm)],[ruleX6]) ).
fof(f_82_2,plain,
! [U_446,U_445,U_444,U_443,U_442,U_441] :
? [U_440] :
( ( para(U_440,U_441,U_446,U_444)
& para(U_440,U_442,U_445,U_443)
& midp(U_440,U_446,U_443) )
| ~ midp(U_441,U_444,U_443)
| ~ midp(U_442,U_446,U_445) ),
inference(variable_rename,[status(thm)],[f_82_1]) ).
fof(f_82_3,plain,
! [U_446,U_445,U_444,U_443,U_442,U_441] :
( ? [U_440] :
( para(U_440,U_441,U_446,U_444)
& para(U_440,U_442,U_445,U_443)
& midp(U_440,U_446,U_443) )
| ~ midp(U_441,U_444,U_443)
| ~ midp(U_442,U_446,U_445) ),
inference(miniscope,[status(thm)],[f_82_2]) ).
fof(f_82_4,plain,
! [U_446,U_445,U_444,U_443,U_442,U_441] :
( ( para(sK6(U_446,U_445,U_444,U_443,U_442,U_441),U_441,U_446,U_444)
& para(sK6(U_446,U_445,U_444,U_443,U_442,U_441),U_442,U_445,U_443)
& midp(sK6(U_446,U_445,U_444,U_443,U_442,U_441),U_446,U_443) )
| ~ midp(U_441,U_444,U_443)
| ~ midp(U_442,U_446,U_445) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_440,sK6(U_446,U_445,U_444,U_443,U_442,U_441))],[f_82_3]) ).
fof(f_82_5,plain,
( ! [U_444,U_443,U_445,U_442,U_441,U_446] :
( para(sK6(U_446,U_445,U_444,U_443,U_442,U_441),U_441,U_446,U_444)
| ~ sP5(U_444,U_443,U_445,U_442,U_441,U_446) )
& ! [U_444,U_443,U_445,U_442,U_441,U_446] :
( para(sK6(U_446,U_445,U_444,U_443,U_442,U_441),U_442,U_445,U_443)
| ~ sP5(U_444,U_443,U_445,U_442,U_441,U_446) )
& ! [U_444,U_443,U_445,U_442,U_441,U_446] :
( midp(sK6(U_446,U_445,U_444,U_443,U_442,U_441),U_446,U_443)
| ~ sP5(U_444,U_443,U_445,U_442,U_441,U_446) )
& ! [U_444,U_443,U_445,U_442,U_441,U_446] :
( sP5(U_444,U_443,U_445,U_442,U_441,U_446)
| ~ midp(U_441,U_444,U_443)
| ~ midp(U_442,U_446,U_445) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP5])],[f_82_4]) ).
cnf(f_82_6,plain,
( sP5(U_444,U_443,U_445,U_442,U_441,U_446)
| ~ midp(U_441,U_444,U_443)
| ~ midp(U_442,U_446,U_445) ),
inference(clausify,[status(thm)],[f_82_5]) ).
cnf(f_82_7,plain,
( midp(sK6(U_446,U_445,U_444,U_443,U_442,U_441),U_446,U_443)
| ~ sP5(U_444,U_443,U_445,U_442,U_441,U_446) ),
inference(clausify,[status(thm)],[f_82_5]) ).
cnf(f_82_8,plain,
( para(sK6(U_446,U_445,U_444,U_443,U_442,U_441),U_442,U_445,U_443)
| ~ sP5(U_444,U_443,U_445,U_442,U_441,U_446) ),
inference(clausify,[status(thm)],[f_82_5]) ).
cnf(f_82_9,plain,
( para(sK6(U_446,U_445,U_444,U_443,U_442,U_441),U_441,U_446,U_444)
| ~ sP5(U_444,U_443,U_445,U_442,U_441,U_446) ),
inference(clausify,[status(thm)],[f_82_5]) ).
fof(f_83_1,plain,
! [A,B,C,D,M,N,Q] :
? [P] :
( midp(P,A,Q)
| ~ coll(D,A,B)
| ~ coll(C,A,B)
| ~ midp(N,C,D)
| ~ midp(M,A,B) ),
inference(fof_nnf,[status(thm)],[ruleX7]) ).
fof(f_83_2,plain,
! [U_454,U_453,U_452,U_451,U_450,U_449,U_448] :
? [U_447] :
( midp(U_447,U_454,U_448)
| ~ coll(U_451,U_454,U_453)
| ~ coll(U_452,U_454,U_453)
| ~ midp(U_449,U_452,U_451)
| ~ midp(U_450,U_454,U_453) ),
inference(variable_rename,[status(thm)],[f_83_1]) ).
fof(f_83_3,plain,
! [U_454] :
( ! [U_453] :
( ! [U_452] :
( ! [U_451] :
( ! [U_449] : ~ midp(U_449,U_452,U_451)
| ~ coll(U_451,U_454,U_453) )
| ~ coll(U_452,U_454,U_453) )
| ! [U_450] : ~ midp(U_450,U_454,U_453) )
| ! [U_448] :
? [U_447] : midp(U_447,U_454,U_448) ),
inference(miniscope,[status(thm)],[f_83_2]) ).
fof(f_83_4,plain,
! [U_454] :
( ! [U_453] :
( ! [U_452] :
( ! [U_451] :
( ! [U_449] : ~ midp(U_449,U_452,U_451)
| ~ coll(U_451,U_454,U_453) )
| ~ coll(U_452,U_454,U_453) )
| ! [U_450] : ~ midp(U_450,U_454,U_453) )
| ! [U_448] : midp(sK7(U_454,U_448),U_454,U_448) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_447,sK7(U_454,U_448))],[f_83_3]) ).
fof(f_83_5,plain,
! [U_454,U_448,U_451,U_450,U_452,U_449,U_453] :
( ~ midp(U_449,U_452,U_451)
| ~ coll(U_451,U_454,U_453)
| ~ coll(U_452,U_454,U_453)
| ~ midp(U_450,U_454,U_453)
| midp(sK7(U_454,U_448),U_454,U_448) ),
inference(definitional_conversion,[status(esa)],[f_83_4]) ).
cnf(f_83_6,plain,
( ~ midp(U_449,U_452,U_451)
| ~ coll(U_451,U_454,U_453)
| ~ coll(U_452,U_454,U_453)
| ~ midp(U_450,U_454,U_453)
| midp(sK7(U_454,U_448),U_454,U_448) ),
inference(clausify,[status(thm)],[f_83_5]) ).
fof(f_84_1,plain,
! [A,B,M,P,Q,R,M] :
? [X] :
( ( coll(X,M,R)
& coll(X,A,Q) )
| ~ coll(P,Q,R)
| ~ para(A,P,B,Q)
| ~ para(A,P,R,M)
| ~ midp(M,A,B) ),
inference(fof_nnf,[status(thm)],[ruleX8]) ).
fof(f_84_2,plain,
! [U_462,U_461,U_460,U_459,U_458,U_457,U_456] :
? [U_455] :
( ( coll(U_455,U_456,U_457)
& coll(U_455,U_462,U_458) )
| ~ coll(U_459,U_458,U_457)
| ~ para(U_462,U_459,U_461,U_458)
| ~ para(U_462,U_459,U_457,U_456)
| ~ midp(U_456,U_462,U_461) ),
inference(variable_rename,[status(thm)],[f_84_1]) ).
fof(f_84_3,plain,
! [U_462,U_461,U_459,U_458,U_457,U_456] :
( ? [U_455] :
( coll(U_455,U_456,U_457)
& coll(U_455,U_462,U_458) )
| ~ coll(U_459,U_458,U_457)
| ~ para(U_462,U_459,U_461,U_458)
| ~ para(U_462,U_459,U_457,U_456)
| ~ midp(U_456,U_462,U_461) ),
inference(miniscope,[status(thm)],[f_84_2]) ).
fof(f_84_4,plain,
! [U_462,U_461,U_459,U_458,U_457,U_456] :
( ( coll(sK8(U_462,U_461,U_459,U_458,U_457,U_456),U_456,U_457)
& coll(sK8(U_462,U_461,U_459,U_458,U_457,U_456),U_462,U_458) )
| ~ coll(U_459,U_458,U_457)
| ~ para(U_462,U_459,U_461,U_458)
| ~ para(U_462,U_459,U_457,U_456)
| ~ midp(U_456,U_462,U_461) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_455,sK8(U_462,U_461,U_459,U_458,U_457,U_456))],[f_84_3]) ).
fof(f_84_5,plain,
( ! [U_456,U_459,U_461,U_458,U_462,U_457] :
( coll(sK8(U_462,U_461,U_459,U_458,U_457,U_456),U_456,U_457)
| ~ sP6(U_456,U_459,U_461,U_458,U_462,U_457) )
& ! [U_456,U_459,U_461,U_458,U_462,U_457] :
( coll(sK8(U_462,U_461,U_459,U_458,U_457,U_456),U_462,U_458)
| ~ sP6(U_456,U_459,U_461,U_458,U_462,U_457) )
& ! [U_456,U_459,U_461,U_458,U_462,U_457] :
( sP6(U_456,U_459,U_461,U_458,U_462,U_457)
| ~ coll(U_459,U_458,U_457)
| ~ para(U_462,U_459,U_461,U_458)
| ~ para(U_462,U_459,U_457,U_456)
| ~ midp(U_456,U_462,U_461) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP6])],[f_84_4]) ).
cnf(f_84_6,plain,
( sP6(U_456,U_459,U_461,U_458,U_462,U_457)
| ~ coll(U_459,U_458,U_457)
| ~ para(U_462,U_459,U_461,U_458)
| ~ para(U_462,U_459,U_457,U_456)
| ~ midp(U_456,U_462,U_461) ),
inference(clausify,[status(thm)],[f_84_5]) ).
cnf(f_84_7,plain,
( coll(sK8(U_462,U_461,U_459,U_458,U_457,U_456),U_462,U_458)
| ~ sP6(U_456,U_459,U_461,U_458,U_462,U_457) ),
inference(clausify,[status(thm)],[f_84_5]) ).
cnf(f_84_8,plain,
( coll(sK8(U_462,U_461,U_459,U_458,U_457,U_456),U_456,U_457)
| ~ sP6(U_456,U_459,U_461,U_458,U_462,U_457) ),
inference(clausify,[status(thm)],[f_84_5]) ).
fof(f_85_1,plain,
! [A,B,C,D,O] :
? [P] :
( ( cong(B,C,B,P)
& para(P,C,A,B)
& cong(O,C,O,P) )
| ~ perp(A,B,B,O)
| ~ cong(O,C,O,D) ),
inference(fof_nnf,[status(thm)],[ruleX9]) ).
fof(f_85_2,plain,
! [U_468,U_467,U_466,U_465,U_464] :
? [U_463] :
( ( cong(U_467,U_466,U_467,U_463)
& para(U_463,U_466,U_468,U_467)
& cong(U_464,U_466,U_464,U_463) )
| ~ perp(U_468,U_467,U_467,U_464)
| ~ cong(U_464,U_466,U_464,U_465) ),
inference(variable_rename,[status(thm)],[f_85_1]) ).
fof(f_85_3,plain,
! [U_468,U_467,U_466,U_465,U_464] :
( ? [U_463] :
( cong(U_467,U_466,U_467,U_463)
& para(U_463,U_466,U_468,U_467)
& cong(U_464,U_466,U_464,U_463) )
| ~ perp(U_468,U_467,U_467,U_464)
| ~ cong(U_464,U_466,U_464,U_465) ),
inference(miniscope,[status(thm)],[f_85_2]) ).
fof(f_85_4,plain,
! [U_468,U_467,U_466,U_465,U_464] :
( ( cong(U_467,U_466,U_467,sK9(U_468,U_467,U_466,U_465,U_464))
& para(sK9(U_468,U_467,U_466,U_465,U_464),U_466,U_468,U_467)
& cong(U_464,U_466,U_464,sK9(U_468,U_467,U_466,U_465,U_464)) )
| ~ perp(U_468,U_467,U_467,U_464)
| ~ cong(U_464,U_466,U_464,U_465) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_463,sK9(U_468,U_467,U_466,U_465,U_464))],[f_85_3]) ).
fof(f_85_5,plain,
( ! [U_466,U_468,U_467,U_465,U_464] :
( cong(U_467,U_466,U_467,sK9(U_468,U_467,U_466,U_465,U_464))
| ~ sP7(U_466,U_468,U_467,U_465,U_464) )
& ! [U_466,U_468,U_467,U_465,U_464] :
( para(sK9(U_468,U_467,U_466,U_465,U_464),U_466,U_468,U_467)
| ~ sP7(U_466,U_468,U_467,U_465,U_464) )
& ! [U_466,U_468,U_467,U_465,U_464] :
( cong(U_464,U_466,U_464,sK9(U_468,U_467,U_466,U_465,U_464))
| ~ sP7(U_466,U_468,U_467,U_465,U_464) )
& ! [U_466,U_468,U_467,U_465,U_464] :
( sP7(U_466,U_468,U_467,U_465,U_464)
| ~ perp(U_468,U_467,U_467,U_464)
| ~ cong(U_464,U_466,U_464,U_465) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP7])],[f_85_4]) ).
cnf(f_85_6,plain,
( sP7(U_466,U_468,U_467,U_465,U_464)
| ~ perp(U_468,U_467,U_467,U_464)
| ~ cong(U_464,U_466,U_464,U_465) ),
inference(clausify,[status(thm)],[f_85_5]) ).
cnf(f_85_7,plain,
( cong(U_464,U_466,U_464,sK9(U_468,U_467,U_466,U_465,U_464))
| ~ sP7(U_466,U_468,U_467,U_465,U_464) ),
inference(clausify,[status(thm)],[f_85_5]) ).
cnf(f_85_8,plain,
( para(sK9(U_468,U_467,U_466,U_465,U_464),U_466,U_468,U_467)
| ~ sP7(U_466,U_468,U_467,U_465,U_464) ),
inference(clausify,[status(thm)],[f_85_5]) ).
cnf(f_85_9,plain,
( cong(U_467,U_466,U_467,sK9(U_468,U_467,U_466,U_465,U_464))
| ~ sP7(U_466,U_468,U_467,U_465,U_464) ),
inference(clausify,[status(thm)],[f_85_5]) ).
fof(f_86_1,plain,
! [A,B,C,H] :
? [P,Q] :
( ( perp(B,Q,C,A)
& coll(Q,C,A)
& perp(A,P,C,B)
& coll(P,C,B) )
| ~ perp(B,H,A,C)
| ~ perp(A,H,B,C) ),
inference(fof_nnf,[status(thm)],[ruleX10]) ).
fof(f_86_2,plain,
! [U_474,U_473,U_472,U_471] :
? [U_470,U_469] :
( ( perp(U_473,U_469,U_472,U_474)
& coll(U_469,U_472,U_474)
& perp(U_474,U_470,U_472,U_473)
& coll(U_470,U_472,U_473) )
| ~ perp(U_473,U_471,U_474,U_472)
| ~ perp(U_474,U_471,U_473,U_472) ),
inference(variable_rename,[status(thm)],[f_86_1]) ).
fof(f_86_3,plain,
! [U_474,U_473,U_472] :
( ! [U_471] :
( ~ perp(U_473,U_471,U_474,U_472)
| ~ perp(U_474,U_471,U_473,U_472) )
| ( ? [U_470] :
( perp(U_474,U_470,U_472,U_473)
& coll(U_470,U_472,U_473) )
& ? [U_469] :
( perp(U_473,U_469,U_472,U_474)
& coll(U_469,U_472,U_474) ) ) ),
inference(miniscope,[status(thm)],[f_86_2]) ).
fof(f_86_4,plain,
! [U_474,U_473,U_472] :
( ! [U_471] :
( ~ perp(U_473,U_471,U_474,U_472)
| ~ perp(U_474,U_471,U_473,U_472) )
| ( ? [U_470] :
( perp(U_474,U_470,U_472,U_473)
& coll(U_470,U_472,U_473) )
& perp(U_473,sK10(U_474,U_473,U_472),U_472,U_474)
& coll(sK10(U_474,U_473,U_472),U_472,U_474) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_469,sK10(U_474,U_473,U_472))],[f_86_3]) ).
fof(f_86_5,plain,
! [U_474,U_473,U_472] :
( ! [U_471] :
( ~ perp(U_473,U_471,U_474,U_472)
| ~ perp(U_474,U_471,U_473,U_472) )
| ( perp(U_474,sK11(U_474,U_473,U_472),U_472,U_473)
& coll(sK11(U_474,U_473,U_472),U_472,U_473)
& perp(U_473,sK10(U_474,U_473,U_472),U_472,U_474)
& coll(sK10(U_474,U_473,U_472),U_472,U_474) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_470,sK11(U_474,U_473,U_472))],[f_86_4]) ).
fof(f_86_6,plain,
( ! [U_474,U_472,U_473] :
( perp(U_474,sK11(U_474,U_473,U_472),U_472,U_473)
| ~ sP8(U_474,U_472,U_473) )
& ! [U_474,U_472,U_473] :
( coll(sK11(U_474,U_473,U_472),U_472,U_473)
| ~ sP8(U_474,U_472,U_473) )
& ! [U_474,U_472,U_473] :
( perp(U_473,sK10(U_474,U_473,U_472),U_472,U_474)
| ~ sP8(U_474,U_472,U_473) )
& ! [U_474,U_472,U_473] :
( coll(sK10(U_474,U_473,U_472),U_472,U_474)
| ~ sP8(U_474,U_472,U_473) )
& ! [U_471,U_474,U_472,U_473] :
( ~ perp(U_473,U_471,U_474,U_472)
| ~ perp(U_474,U_471,U_473,U_472)
| sP8(U_474,U_472,U_473) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP8])],[f_86_5]) ).
cnf(f_86_7,plain,
( ~ perp(U_473,U_471,U_474,U_472)
| ~ perp(U_474,U_471,U_473,U_472)
| sP8(U_474,U_472,U_473) ),
inference(clausify,[status(thm)],[f_86_6]) ).
cnf(f_86_8,plain,
( coll(sK10(U_474,U_473,U_472),U_472,U_474)
| ~ sP8(U_474,U_472,U_473) ),
inference(clausify,[status(thm)],[f_86_6]) ).
cnf(f_86_9,plain,
( perp(U_473,sK10(U_474,U_473,U_472),U_472,U_474)
| ~ sP8(U_474,U_472,U_473) ),
inference(clausify,[status(thm)],[f_86_6]) ).
cnf(f_86_10,plain,
( coll(sK11(U_474,U_473,U_472),U_472,U_473)
| ~ sP8(U_474,U_472,U_473) ),
inference(clausify,[status(thm)],[f_86_6]) ).
cnf(f_86_11,plain,
( perp(U_474,sK11(U_474,U_473,U_472),U_472,U_473)
| ~ sP8(U_474,U_472,U_473) ),
inference(clausify,[status(thm)],[f_86_6]) ).
fof(f_87_1,plain,
! [A,B,C,O] :
? [P] :
( perp(P,A,A,O)
| ~ circle(O,A,B,C) ),
inference(fof_nnf,[status(thm)],[ruleX11]) ).
fof(f_87_2,plain,
! [U_479,U_478,U_477,U_476] :
? [U_475] :
( perp(U_475,U_479,U_479,U_476)
| ~ circle(U_476,U_479,U_478,U_477) ),
inference(variable_rename,[status(thm)],[f_87_1]) ).
fof(f_87_3,plain,
! [U_479,U_478,U_477,U_476] :
( ? [U_475] : perp(U_475,U_479,U_479,U_476)
| ~ circle(U_476,U_479,U_478,U_477) ),
inference(miniscope,[status(thm)],[f_87_2]) ).
fof(f_87_4,plain,
! [U_479,U_478,U_477,U_476] :
( perp(sK12(U_479,U_478,U_477,U_476),U_479,U_479,U_476)
| ~ circle(U_476,U_479,U_478,U_477) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_475,sK12(U_479,U_478,U_477,U_476))],[f_87_3]) ).
fof(f_87_5,plain,
! [U_479,U_477,U_476,U_478] :
( perp(sK12(U_479,U_478,U_477,U_476),U_479,U_479,U_476)
| ~ circle(U_476,U_479,U_478,U_477) ),
inference(definitional_conversion,[status(esa)],[f_87_4]) ).
cnf(f_87_6,plain,
( perp(sK12(U_479,U_478,U_477,U_476),U_479,U_479,U_476)
| ~ circle(U_476,U_479,U_478,U_477) ),
inference(clausify,[status(thm)],[f_87_5]) ).
fof(f_88_1,plain,
! [A,B,C,D,M,N] :
? [P,Q] :
( ( cong(Q,N,N,A)
& coll(Q,B,D)
& cong(P,N,N,A)
& coll(P,A,C) )
| M = N
| ~ cong(N,A,N,B)
| ~ cong(M,A,M,D)
| ~ circle(M,A,B,C) ),
inference(fof_nnf,[status(thm)],[ruleX12]) ).
fof(f_88_2,plain,
! [U_487,U_486,U_485,U_484,U_483,U_482] :
? [U_481,U_480] :
( ( cong(U_480,U_482,U_482,U_487)
& coll(U_480,U_486,U_484)
& cong(U_481,U_482,U_482,U_487)
& coll(U_481,U_487,U_485) )
| U_483 = U_482
| ~ cong(U_482,U_487,U_482,U_486)
| ~ cong(U_483,U_487,U_483,U_484)
| ~ circle(U_483,U_487,U_486,U_485) ),
inference(variable_rename,[status(thm)],[f_88_1]) ).
fof(f_88_3,plain,
! [U_487,U_486,U_485,U_484,U_483,U_482] :
( ( ? [U_481] :
( cong(U_481,U_482,U_482,U_487)
& coll(U_481,U_487,U_485) )
& ? [U_480] :
( cong(U_480,U_482,U_482,U_487)
& coll(U_480,U_486,U_484) ) )
| U_483 = U_482
| ~ cong(U_482,U_487,U_482,U_486)
| ~ cong(U_483,U_487,U_483,U_484)
| ~ circle(U_483,U_487,U_486,U_485) ),
inference(miniscope,[status(thm)],[f_88_2]) ).
fof(f_88_4,plain,
! [U_487,U_486,U_485,U_484,U_483,U_482] :
( ( ? [U_481] :
( cong(U_481,U_482,U_482,U_487)
& coll(U_481,U_487,U_485) )
& cong(sK13(U_487,U_486,U_485,U_484,U_483,U_482),U_482,U_482,U_487)
& coll(sK13(U_487,U_486,U_485,U_484,U_483,U_482),U_486,U_484) )
| U_483 = U_482
| ~ cong(U_482,U_487,U_482,U_486)
| ~ cong(U_483,U_487,U_483,U_484)
| ~ circle(U_483,U_487,U_486,U_485) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_480,sK13(U_487,U_486,U_485,U_484,U_483,U_482))],[f_88_3]) ).
fof(f_88_5,plain,
! [U_487,U_486,U_485,U_484,U_483,U_482] :
( ( cong(sK14(U_487,U_486,U_485,U_484,U_483,U_482),U_482,U_482,U_487)
& coll(sK14(U_487,U_486,U_485,U_484,U_483,U_482),U_487,U_485)
& cong(sK13(U_487,U_486,U_485,U_484,U_483,U_482),U_482,U_482,U_487)
& coll(sK13(U_487,U_486,U_485,U_484,U_483,U_482),U_486,U_484) )
| U_483 = U_482
| ~ cong(U_482,U_487,U_482,U_486)
| ~ cong(U_483,U_487,U_483,U_484)
| ~ circle(U_483,U_487,U_486,U_485) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_481,sK14(U_487,U_486,U_485,U_484,U_483,U_482))],[f_88_4]) ).
fof(f_88_6,plain,
( ! [U_484,U_485,U_486,U_487,U_483,U_482] :
( cong(sK14(U_487,U_486,U_485,U_484,U_483,U_482),U_482,U_482,U_487)
| ~ sP9(U_484,U_485,U_486,U_487,U_483,U_482) )
& ! [U_484,U_485,U_486,U_487,U_483,U_482] :
( coll(sK14(U_487,U_486,U_485,U_484,U_483,U_482),U_487,U_485)
| ~ sP9(U_484,U_485,U_486,U_487,U_483,U_482) )
& ! [U_484,U_485,U_486,U_487,U_483,U_482] :
( cong(sK13(U_487,U_486,U_485,U_484,U_483,U_482),U_482,U_482,U_487)
| ~ sP9(U_484,U_485,U_486,U_487,U_483,U_482) )
& ! [U_484,U_485,U_486,U_487,U_483,U_482] :
( coll(sK13(U_487,U_486,U_485,U_484,U_483,U_482),U_486,U_484)
| ~ sP9(U_484,U_485,U_486,U_487,U_483,U_482) )
& ! [U_484,U_485,U_486,U_487,U_483,U_482] :
( sP9(U_484,U_485,U_486,U_487,U_483,U_482)
| U_483 = U_482
| ~ cong(U_482,U_487,U_482,U_486)
| ~ cong(U_483,U_487,U_483,U_484)
| ~ circle(U_483,U_487,U_486,U_485) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP9])],[f_88_5]) ).
cnf(f_88_7,plain,
( sP9(U_484,U_485,U_486,U_487,U_483,U_482)
| U_483 = U_482
| ~ cong(U_482,U_487,U_482,U_486)
| ~ cong(U_483,U_487,U_483,U_484)
| ~ circle(U_483,U_487,U_486,U_485) ),
inference(clausify,[status(thm)],[f_88_6]) ).
cnf(f_88_8,plain,
( coll(sK13(U_487,U_486,U_485,U_484,U_483,U_482),U_486,U_484)
| ~ sP9(U_484,U_485,U_486,U_487,U_483,U_482) ),
inference(clausify,[status(thm)],[f_88_6]) ).
cnf(f_88_9,plain,
( cong(sK13(U_487,U_486,U_485,U_484,U_483,U_482),U_482,U_482,U_487)
| ~ sP9(U_484,U_485,U_486,U_487,U_483,U_482) ),
inference(clausify,[status(thm)],[f_88_6]) ).
cnf(f_88_10,plain,
( coll(sK14(U_487,U_486,U_485,U_484,U_483,U_482),U_487,U_485)
| ~ sP9(U_484,U_485,U_486,U_487,U_483,U_482) ),
inference(clausify,[status(thm)],[f_88_6]) ).
cnf(f_88_11,plain,
( cong(sK14(U_487,U_486,U_485,U_484,U_483,U_482),U_482,U_482,U_487)
| ~ sP9(U_484,U_485,U_486,U_487,U_483,U_482) ),
inference(clausify,[status(thm)],[f_88_6]) ).
fof(f_89_1,plain,
! [A,B,C,D,M] :
? [O] :
( circle(O,A,B,C)
| ~ midp(M,A,B)
| ~ para(A,B,C,D)
| ~ cyclic(A,B,C,D) ),
inference(fof_nnf,[status(thm)],[ruleX13]) ).
fof(f_89_2,plain,
! [U_493,U_492,U_491,U_490,U_489] :
? [U_488] :
( circle(U_488,U_493,U_492,U_491)
| ~ midp(U_489,U_493,U_492)
| ~ para(U_493,U_492,U_491,U_490)
| ~ cyclic(U_493,U_492,U_491,U_490) ),
inference(variable_rename,[status(thm)],[f_89_1]) ).
fof(f_89_3,plain,
! [U_493,U_492,U_491] :
( ! [U_490] :
( ~ para(U_493,U_492,U_491,U_490)
| ~ cyclic(U_493,U_492,U_491,U_490) )
| ! [U_489] : ~ midp(U_489,U_493,U_492)
| ? [U_488] : circle(U_488,U_493,U_492,U_491) ),
inference(miniscope,[status(thm)],[f_89_2]) ).
fof(f_89_4,plain,
! [U_493,U_492,U_491] :
( ! [U_490] :
( ~ para(U_493,U_492,U_491,U_490)
| ~ cyclic(U_493,U_492,U_491,U_490) )
| ! [U_489] : ~ midp(U_489,U_493,U_492)
| circle(sK15(U_493,U_492,U_491),U_493,U_492,U_491) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_488,sK15(U_493,U_492,U_491))],[f_89_3]) ).
fof(f_89_5,plain,
! [U_493,U_492,U_490,U_491,U_489] :
( ~ para(U_493,U_492,U_491,U_490)
| ~ cyclic(U_493,U_492,U_491,U_490)
| ~ midp(U_489,U_493,U_492)
| circle(sK15(U_493,U_492,U_491),U_493,U_492,U_491) ),
inference(definitional_conversion,[status(esa)],[f_89_4]) ).
cnf(f_89_6,plain,
( ~ para(U_493,U_492,U_491,U_490)
| ~ cyclic(U_493,U_492,U_491,U_490)
| ~ midp(U_489,U_493,U_492)
| circle(sK15(U_493,U_492,U_491),U_493,U_492,U_491) ),
inference(clausify,[status(thm)],[f_89_5]) ).
fof(f_90_1,plain,
! [A,B,C,D] :
? [O] :
( circle(O,A,B,C)
| ~ cyclic(A,B,C,D)
| ~ perp(A,C,C,B) ),
inference(fof_nnf,[status(thm)],[ruleX14]) ).
fof(f_90_2,plain,
! [U_498,U_497,U_496,U_495] :
? [U_494] :
( circle(U_494,U_498,U_497,U_496)
| ~ cyclic(U_498,U_497,U_496,U_495)
| ~ perp(U_498,U_496,U_496,U_497) ),
inference(variable_rename,[status(thm)],[f_90_1]) ).
fof(f_90_3,plain,
! [U_498,U_497,U_496] :
( ! [U_495] : ~ cyclic(U_498,U_497,U_496,U_495)
| ~ perp(U_498,U_496,U_496,U_497)
| ? [U_494] : circle(U_494,U_498,U_497,U_496) ),
inference(miniscope,[status(thm)],[f_90_2]) ).
fof(f_90_4,plain,
! [U_498,U_497,U_496] :
( ! [U_495] : ~ cyclic(U_498,U_497,U_496,U_495)
| ~ perp(U_498,U_496,U_496,U_497)
| circle(sK16(U_498,U_497,U_496),U_498,U_497,U_496) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_494,sK16(U_498,U_497,U_496))],[f_90_3]) ).
fof(f_90_5,plain,
! [U_498,U_497,U_495,U_496] :
( ~ cyclic(U_498,U_497,U_496,U_495)
| ~ perp(U_498,U_496,U_496,U_497)
| circle(sK16(U_498,U_497,U_496),U_498,U_497,U_496) ),
inference(definitional_conversion,[status(esa)],[f_90_4]) ).
cnf(f_90_6,plain,
( ~ cyclic(U_498,U_497,U_496,U_495)
| ~ perp(U_498,U_496,U_496,U_497)
| circle(sK16(U_498,U_497,U_496),U_498,U_497,U_496) ),
inference(clausify,[status(thm)],[f_90_5]) ).
fof(f_91_1,plain,
! [A,B,C,E,F] :
? [P] :
( ( perp(P,A,E,F)
& coll(P,E,F) )
| ~ coll(B,E,F)
| ~ perp(A,C,C,B) ),
inference(fof_nnf,[status(thm)],[ruleX15]) ).
fof(f_91_2,plain,
! [U_504,U_503,U_502,U_501,U_500] :
? [U_499] :
( ( perp(U_499,U_504,U_501,U_500)
& coll(U_499,U_501,U_500) )
| ~ coll(U_503,U_501,U_500)
| ~ perp(U_504,U_502,U_502,U_503) ),
inference(variable_rename,[status(thm)],[f_91_1]) ).
fof(f_91_3,plain,
! [U_504,U_503,U_502,U_501,U_500] :
( ? [U_499] :
( perp(U_499,U_504,U_501,U_500)
& coll(U_499,U_501,U_500) )
| ~ coll(U_503,U_501,U_500)
| ~ perp(U_504,U_502,U_502,U_503) ),
inference(miniscope,[status(thm)],[f_91_2]) ).
fof(f_91_4,plain,
! [U_504,U_503,U_502,U_501,U_500] :
( ( perp(sK17(U_504,U_503,U_502,U_501,U_500),U_504,U_501,U_500)
& coll(sK17(U_504,U_503,U_502,U_501,U_500),U_501,U_500) )
| ~ coll(U_503,U_501,U_500)
| ~ perp(U_504,U_502,U_502,U_503) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_499,sK17(U_504,U_503,U_502,U_501,U_500))],[f_91_3]) ).
fof(f_91_5,plain,
( ! [U_503,U_501,U_504,U_502,U_500] :
( perp(sK17(U_504,U_503,U_502,U_501,U_500),U_504,U_501,U_500)
| ~ sP10(U_503,U_501,U_504,U_502,U_500) )
& ! [U_503,U_501,U_504,U_502,U_500] :
( coll(sK17(U_504,U_503,U_502,U_501,U_500),U_501,U_500)
| ~ sP10(U_503,U_501,U_504,U_502,U_500) )
& ! [U_503,U_501,U_504,U_502,U_500] :
( sP10(U_503,U_501,U_504,U_502,U_500)
| ~ coll(U_503,U_501,U_500)
| ~ perp(U_504,U_502,U_502,U_503) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP10])],[f_91_4]) ).
cnf(f_91_6,plain,
( sP10(U_503,U_501,U_504,U_502,U_500)
| ~ coll(U_503,U_501,U_500)
| ~ perp(U_504,U_502,U_502,U_503) ),
inference(clausify,[status(thm)],[f_91_5]) ).
cnf(f_91_7,plain,
( coll(sK17(U_504,U_503,U_502,U_501,U_500),U_501,U_500)
| ~ sP10(U_503,U_501,U_504,U_502,U_500) ),
inference(clausify,[status(thm)],[f_91_5]) ).
cnf(f_91_8,plain,
( perp(sK17(U_504,U_503,U_502,U_501,U_500),U_504,U_501,U_500)
| ~ sP10(U_503,U_501,U_504,U_502,U_500) ),
inference(clausify,[status(thm)],[f_91_5]) ).
fof(f_92_1,plain,
! [A,B,C,D,M] :
? [P] :
( midp(P,A,C)
| ~ midp(M,B,D)
| ~ perp(C,A,C,D)
| ~ perp(A,B,A,C) ),
inference(fof_nnf,[status(thm)],[ruleX16]) ).
fof(f_92_2,plain,
! [U_510,U_509,U_508,U_507,U_506] :
? [U_505] :
( midp(U_505,U_510,U_508)
| ~ midp(U_506,U_509,U_507)
| ~ perp(U_508,U_510,U_508,U_507)
| ~ perp(U_510,U_509,U_510,U_508) ),
inference(variable_rename,[status(thm)],[f_92_1]) ).
fof(f_92_3,plain,
! [U_510,U_509,U_508] :
( ! [U_507] :
( ! [U_506] : ~ midp(U_506,U_509,U_507)
| ~ perp(U_508,U_510,U_508,U_507) )
| ~ perp(U_510,U_509,U_510,U_508)
| ? [U_505] : midp(U_505,U_510,U_508) ),
inference(miniscope,[status(thm)],[f_92_2]) ).
fof(f_92_4,plain,
! [U_510,U_509,U_508] :
( ! [U_507] :
( ! [U_506] : ~ midp(U_506,U_509,U_507)
| ~ perp(U_508,U_510,U_508,U_507) )
| ~ perp(U_510,U_509,U_510,U_508)
| midp(sK18(U_510,U_509,U_508),U_510,U_508) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_505,sK18(U_510,U_509,U_508))],[f_92_3]) ).
fof(f_92_5,plain,
! [U_507,U_508,U_510,U_509,U_506] :
( ~ midp(U_506,U_509,U_507)
| ~ perp(U_508,U_510,U_508,U_507)
| ~ perp(U_510,U_509,U_510,U_508)
| midp(sK18(U_510,U_509,U_508),U_510,U_508) ),
inference(definitional_conversion,[status(esa)],[f_92_4]) ).
cnf(f_92_6,plain,
( ~ midp(U_506,U_509,U_507)
| ~ perp(U_508,U_510,U_508,U_507)
| ~ perp(U_510,U_509,U_510,U_508)
| midp(sK18(U_510,U_509,U_508),U_510,U_508) ),
inference(clausify,[status(thm)],[f_92_5]) ).
fof(f_93_1,plain,
! [A,B,O] :
? [C] :
( ( cong(O,A,O,C)
& coll(A,O,C) )
| ~ perp(A,O,O,B)
| ~ cong(O,A,O,B) ),
inference(fof_nnf,[status(thm)],[ruleX17]) ).
fof(f_93_2,plain,
! [U_514,U_513,U_512] :
? [U_511] :
( ( cong(U_512,U_514,U_512,U_511)
& coll(U_514,U_512,U_511) )
| ~ perp(U_514,U_512,U_512,U_513)
| ~ cong(U_512,U_514,U_512,U_513) ),
inference(variable_rename,[status(thm)],[f_93_1]) ).
fof(f_93_3,plain,
! [U_514,U_513,U_512] :
( ? [U_511] :
( cong(U_512,U_514,U_512,U_511)
& coll(U_514,U_512,U_511) )
| ~ perp(U_514,U_512,U_512,U_513)
| ~ cong(U_512,U_514,U_512,U_513) ),
inference(miniscope,[status(thm)],[f_93_2]) ).
fof(f_93_4,plain,
! [U_514,U_513,U_512] :
( ( cong(U_512,U_514,U_512,sK19(U_514,U_513,U_512))
& coll(U_514,U_512,sK19(U_514,U_513,U_512)) )
| ~ perp(U_514,U_512,U_512,U_513)
| ~ cong(U_512,U_514,U_512,U_513) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_511,sK19(U_514,U_513,U_512))],[f_93_3]) ).
fof(f_93_5,plain,
( ! [U_514,U_513,U_512] :
( cong(U_512,U_514,U_512,sK19(U_514,U_513,U_512))
| ~ sP11(U_514,U_513,U_512) )
& ! [U_514,U_513,U_512] :
( coll(U_514,U_512,sK19(U_514,U_513,U_512))
| ~ sP11(U_514,U_513,U_512) )
& ! [U_514,U_513,U_512] :
( sP11(U_514,U_513,U_512)
| ~ perp(U_514,U_512,U_512,U_513)
| ~ cong(U_512,U_514,U_512,U_513) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP11])],[f_93_4]) ).
cnf(f_93_6,plain,
( sP11(U_514,U_513,U_512)
| ~ perp(U_514,U_512,U_512,U_513)
| ~ cong(U_512,U_514,U_512,U_513) ),
inference(clausify,[status(thm)],[f_93_5]) ).
cnf(f_93_7,plain,
( coll(U_514,U_512,sK19(U_514,U_513,U_512))
| ~ sP11(U_514,U_513,U_512) ),
inference(clausify,[status(thm)],[f_93_5]) ).
cnf(f_93_8,plain,
( cong(U_512,U_514,U_512,sK19(U_514,U_513,U_512))
| ~ sP11(U_514,U_513,U_512) ),
inference(clausify,[status(thm)],[f_93_5]) ).
fof(f_94_1,plain,
! [A,B,C,D,P,Q] :
? [R] :
( ( coll(R,C,D)
& coll(P,Q,R) )
| ~ coll(Q,A,B)
| ~ coll(P,B,D)
| ~ coll(P,A,C)
| ~ para(A,B,C,D) ),
inference(fof_nnf,[status(thm)],[ruleX18]) ).
fof(f_94_2,plain,
! [U_521,U_520,U_519,U_518,U_517,U_516] :
? [U_515] :
( ( coll(U_515,U_519,U_518)
& coll(U_517,U_516,U_515) )
| ~ coll(U_516,U_521,U_520)
| ~ coll(U_517,U_520,U_518)
| ~ coll(U_517,U_521,U_519)
| ~ para(U_521,U_520,U_519,U_518) ),
inference(variable_rename,[status(thm)],[f_94_1]) ).
fof(f_94_3,plain,
! [U_521,U_520,U_519,U_518,U_517,U_516] :
( ? [U_515] :
( coll(U_515,U_519,U_518)
& coll(U_517,U_516,U_515) )
| ~ coll(U_516,U_521,U_520)
| ~ coll(U_517,U_520,U_518)
| ~ coll(U_517,U_521,U_519)
| ~ para(U_521,U_520,U_519,U_518) ),
inference(miniscope,[status(thm)],[f_94_2]) ).
fof(f_94_4,plain,
! [U_521,U_520,U_519,U_518,U_517,U_516] :
( ( coll(sK20(U_521,U_520,U_519,U_518,U_517,U_516),U_519,U_518)
& coll(U_517,U_516,sK20(U_521,U_520,U_519,U_518,U_517,U_516)) )
| ~ coll(U_516,U_521,U_520)
| ~ coll(U_517,U_520,U_518)
| ~ coll(U_517,U_521,U_519)
| ~ para(U_521,U_520,U_519,U_518) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_515,sK20(U_521,U_520,U_519,U_518,U_517,U_516))],[f_94_3]) ).
fof(f_94_5,plain,
( ! [U_520,U_517,U_518,U_521,U_519,U_516] :
( coll(sK20(U_521,U_520,U_519,U_518,U_517,U_516),U_519,U_518)
| ~ sP12(U_520,U_517,U_518,U_521,U_519,U_516) )
& ! [U_520,U_517,U_518,U_521,U_519,U_516] :
( coll(U_517,U_516,sK20(U_521,U_520,U_519,U_518,U_517,U_516))
| ~ sP12(U_520,U_517,U_518,U_521,U_519,U_516) )
& ! [U_520,U_517,U_518,U_521,U_519,U_516] :
( sP12(U_520,U_517,U_518,U_521,U_519,U_516)
| ~ coll(U_516,U_521,U_520)
| ~ coll(U_517,U_520,U_518)
| ~ coll(U_517,U_521,U_519)
| ~ para(U_521,U_520,U_519,U_518) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP12])],[f_94_4]) ).
cnf(f_94_6,plain,
( sP12(U_520,U_517,U_518,U_521,U_519,U_516)
| ~ coll(U_516,U_521,U_520)
| ~ coll(U_517,U_520,U_518)
| ~ coll(U_517,U_521,U_519)
| ~ para(U_521,U_520,U_519,U_518) ),
inference(clausify,[status(thm)],[f_94_5]) ).
cnf(f_94_7,plain,
( coll(U_517,U_516,sK20(U_521,U_520,U_519,U_518,U_517,U_516))
| ~ sP12(U_520,U_517,U_518,U_521,U_519,U_516) ),
inference(clausify,[status(thm)],[f_94_5]) ).
cnf(f_94_8,plain,
( coll(sK20(U_521,U_520,U_519,U_518,U_517,U_516),U_519,U_518)
| ~ sP12(U_520,U_517,U_518,U_521,U_519,U_516) ),
inference(clausify,[status(thm)],[f_94_5]) ).
fof(f_95_1,negated_conjecture,
~ ! [A,B,C,D,E,F,G] :
( ( coll(G,B,C)
& coll(F,C,D)
& para(A,D,F,E)
& para(A,B,G,E)
& coll(E,A,C) )
=> para(B,D,G,F) ),
inference(negate,[status(cth)],[exemplo6GDDFULLmoreE02315]) ).
fof(f_95_2,negated_conjecture,
? [A,B,C,D,E,F,G] :
( ~ para(B,D,G,F)
& coll(G,B,C)
& coll(F,C,D)
& para(A,D,F,E)
& para(A,B,G,E)
& coll(E,A,C) ),
inference(fof_nnf,[status(thm)],[f_95_1]) ).
fof(f_95_3,negated_conjecture,
? [U_528,U_527,U_526,U_525,U_524,U_523,U_522] :
( ~ para(U_527,U_525,U_522,U_523)
& coll(U_522,U_527,U_526)
& coll(U_523,U_526,U_525)
& para(U_528,U_525,U_523,U_524)
& para(U_528,U_527,U_522,U_524)
& coll(U_524,U_528,U_526) ),
inference(variable_rename,[status(thm)],[f_95_2]) ).
fof(f_95_4,negated_conjecture,
? [U_527,U_526,U_525,U_524,U_523,U_522] :
( ~ para(U_527,U_525,U_522,U_523)
& coll(U_522,U_527,U_526)
& coll(U_523,U_526,U_525)
& para(sK21,U_525,U_523,U_524)
& para(sK21,U_527,U_522,U_524)
& coll(U_524,sK21,U_526) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_528,sK21)],[f_95_3]) ).
fof(f_95_5,negated_conjecture,
? [U_526,U_525,U_524,U_523,U_522] :
( ~ para(sK22,U_525,U_522,U_523)
& coll(U_522,sK22,U_526)
& coll(U_523,U_526,U_525)
& para(sK21,U_525,U_523,U_524)
& para(sK21,sK22,U_522,U_524)
& coll(U_524,sK21,U_526) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_527,sK22)],[f_95_4]) ).
fof(f_95_6,negated_conjecture,
? [U_525,U_524,U_523,U_522] :
( ~ para(sK22,U_525,U_522,U_523)
& coll(U_522,sK22,sK23)
& coll(U_523,sK23,U_525)
& para(sK21,U_525,U_523,U_524)
& para(sK21,sK22,U_522,U_524)
& coll(U_524,sK21,sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_526,sK23)],[f_95_5]) ).
fof(f_95_7,negated_conjecture,
? [U_524,U_523,U_522] :
( ~ para(sK22,sK24,U_522,U_523)
& coll(U_522,sK22,sK23)
& coll(U_523,sK23,sK24)
& para(sK21,sK24,U_523,U_524)
& para(sK21,sK22,U_522,U_524)
& coll(U_524,sK21,sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(U_525,sK24)],[f_95_6]) ).
fof(f_95_8,negated_conjecture,
? [U_523,U_522] :
( ~ para(sK22,sK24,U_522,U_523)
& coll(U_522,sK22,sK23)
& coll(U_523,sK23,sK24)
& para(sK21,sK24,U_523,sK25)
& para(sK21,sK22,U_522,sK25)
& coll(sK25,sK21,sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(U_524,sK25)],[f_95_7]) ).
fof(f_95_9,negated_conjecture,
? [U_522] :
( ~ para(sK22,sK24,U_522,sK26)
& coll(U_522,sK22,sK23)
& coll(sK26,sK23,sK24)
& para(sK21,sK24,sK26,sK25)
& para(sK21,sK22,U_522,sK25)
& coll(sK25,sK21,sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(U_523,sK26)],[f_95_8]) ).
fof(f_95_10,negated_conjecture,
( ~ para(sK22,sK24,sK27,sK26)
& coll(sK27,sK22,sK23)
& coll(sK26,sK23,sK24)
& para(sK21,sK24,sK26,sK25)
& para(sK21,sK22,sK27,sK25)
& coll(sK25,sK21,sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(U_522,sK27)],[f_95_9]) ).
fof(f_95_11,negated_conjecture,
( ~ para(sK22,sK24,sK27,sK26)
& coll(sK27,sK22,sK23)
& coll(sK26,sK23,sK24)
& para(sK21,sK24,sK26,sK25)
& para(sK21,sK22,sK27,sK25)
& coll(sK25,sK21,sK23) ),
inference(definitional_conversion,[status(esa)],[f_95_10]) ).
cnf(f_95_12,negated_conjecture,
coll(sK25,sK21,sK23),
inference(clausify,[status(thm)],[f_95_11]) ).
cnf(f_95_13,negated_conjecture,
para(sK21,sK22,sK27,sK25),
inference(clausify,[status(thm)],[f_95_11]) ).
cnf(f_95_14,negated_conjecture,
para(sK21,sK24,sK26,sK25),
inference(clausify,[status(thm)],[f_95_11]) ).
cnf(f_95_15,negated_conjecture,
coll(sK26,sK23,sK24),
inference(clausify,[status(thm)],[f_95_11]) ).
cnf(f_95_16,negated_conjecture,
coll(sK27,sK22,sK23),
inference(clausify,[status(thm)],[f_95_11]) ).
cnf(f_95_17,negated_conjecture,
~ para(sK22,sK24,sK27,sK26),
inference(clausify,[status(thm)],[f_95_11]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( sK1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( sK2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( sK3(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK3(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( sK4(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK4(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( sK5(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK5(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( sK6(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK6(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( sK7(Eq_x_0,Eq_x_1) = sK7(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( sK8(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK8(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( sK9(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK9(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_13,axiom,
( sK10(Eq_x_0,Eq_x_1,Eq_x_2) = sK10(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_14,axiom,
( sK11(Eq_x_0,Eq_x_1,Eq_x_2) = sK11(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_15,axiom,
( sK12(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK12(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_16,axiom,
( sK13(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK13(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_17,axiom,
( sK14(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK14(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_18,axiom,
( sK15(Eq_x_0,Eq_x_1,Eq_x_2) = sK15(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_19,axiom,
( sK16(Eq_x_0,Eq_x_1,Eq_x_2) = sK16(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_20,axiom,
( sK17(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK17(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_21,axiom,
( sK18(Eq_x_0,Eq_x_1,Eq_x_2) = sK18(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_22,axiom,
( sK19(Eq_x_0,Eq_x_1,Eq_x_2) = sK19(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_23,axiom,
( sK20(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK20(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_24,axiom,
( coll(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ coll(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_25,axiom,
( para(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ para(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_26,axiom,
( perp(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ perp(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_27,axiom,
( midp(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ midp(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_28,axiom,
( cong(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ cong(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_29,axiom,
( circle(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ circle(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_30,axiom,
( cyclic(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ cyclic(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_31,axiom,
( eqangle(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| ~ eqangle(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_32,axiom,
( eqratio(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| ~ eqratio(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_33,axiom,
( simtri(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ simtri(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_34,axiom,
( contri(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ contri(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_35,axiom,
( sP0(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP0(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_36,axiom,
( sP1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_37,axiom,
( sP2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_38,axiom,
( sP3(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP3(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_39,axiom,
( sP4(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP4(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_40,axiom,
( sP5(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP5(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_41,axiom,
( sP6(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP6(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_42,axiom,
( sP7(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP7(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_43,axiom,
( sP8(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP8(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_44,axiom,
( sP9(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP9(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_45,axiom,
( sP10(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP10(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_46,axiom,
( sP11(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP11(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_47,axiom,
( sP12(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP12(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO657+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 19 08:18:05 UTC 2026
% 0.09/0.35 % CPUTime :
% 150.16/150.43 % SZS status Theorem for theBenchmark
% 150.16/150.43 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------