TSTP Solution File: GEO634+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO634+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 12:55:38 EDT 2022
% Result : Unknown 4.51s 4.70s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO634+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 07:06:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.29/2.51 ----- Otter 3.3f, August 2004 -----
% 2.29/2.51 The process was started by sandbox on n021.cluster.edu,
% 2.29/2.51 Wed Jul 27 07:06:38 2022
% 2.29/2.51 The command was "./otter". The process ID is 28189.
% 2.29/2.51
% 2.29/2.51 set(prolog_style_variables).
% 2.29/2.51 set(auto).
% 2.29/2.51 dependent: set(auto1).
% 2.29/2.51 dependent: set(process_input).
% 2.29/2.51 dependent: clear(print_kept).
% 2.29/2.51 dependent: clear(print_new_demod).
% 2.29/2.51 dependent: clear(print_back_demod).
% 2.29/2.51 dependent: clear(print_back_sub).
% 2.29/2.51 dependent: set(control_memory).
% 2.29/2.51 dependent: assign(max_mem, 12000).
% 2.29/2.51 dependent: assign(pick_given_ratio, 4).
% 2.29/2.51 dependent: assign(stats_level, 1).
% 2.29/2.51 dependent: assign(max_seconds, 10800).
% 2.29/2.51 clear(print_given).
% 2.29/2.51
% 2.29/2.51 formula_list(usable).
% 2.29/2.51 all A (A=A).
% 2.29/2.51 all A B C (coll(A,B,C)->coll(A,C,B)).
% 2.29/2.51 all A B C (coll(A,B,C)->coll(B,A,C)).
% 2.29/2.51 all A B C D (coll(A,B,C)&coll(A,B,D)->coll(C,D,A)).
% 2.29/2.51 all A B C D (para(A,B,C,D)->para(A,B,D,C)).
% 2.29/2.51 all A B C D (para(A,B,C,D)->para(C,D,A,B)).
% 2.29/2.51 all A B C D E F (para(A,B,C,D)¶(C,D,E,F)->para(A,B,E,F)).
% 2.29/2.51 all A B C D (perp(A,B,C,D)->perp(A,B,D,C)).
% 2.29/2.51 all A B C D (perp(A,B,C,D)->perp(C,D,A,B)).
% 2.29/2.51 all A B C D E F (perp(A,B,C,D)&perp(C,D,E,F)->para(A,B,E,F)).
% 2.29/2.51 all A B C D E F (para(A,B,C,D)&perp(C,D,E,F)->perp(A,B,E,F)).
% 2.29/2.51 all A B M (midp(M,B,A)->midp(M,A,B)).
% 2.29/2.51 all A B C O (cong(O,A,O,B)&cong(O,A,O,C)->circle(O,A,B,C)).
% 2.29/2.51 all A B C D O (cong(O,A,O,B)&cong(O,A,O,C)&cong(O,A,O,D)->cyclic(A,B,C,D)).
% 2.29/2.51 all A B C D (cyclic(A,B,C,D)->cyclic(A,B,D,C)).
% 2.29/2.51 all A B C D (cyclic(A,B,C,D)->cyclic(A,C,B,D)).
% 2.29/2.51 all A B C D (cyclic(A,B,C,D)->cyclic(B,A,C,D)).
% 2.29/2.51 all A B C D E (cyclic(A,B,C,D)&cyclic(A,B,C,E)->cyclic(B,C,D,E)).
% 2.29/2.51 all A B C D P Q U V (e_qangle(A,B,C,D,P,Q,U,V)->e_qangle(B,A,C,D,P,Q,U,V)).
% 2.29/2.51 all A B C D P Q U V (e_qangle(A,B,C,D,P,Q,U,V)->e_qangle(C,D,A,B,U,V,P,Q)).
% 2.29/2.51 all A B C D P Q U V (e_qangle(A,B,C,D,P,Q,U,V)->e_qangle(P,Q,U,V,A,B,C,D)).
% 2.29/2.51 all A B C D P Q U V (e_qangle(A,B,C,D,P,Q,U,V)->e_qangle(A,B,P,Q,C,D,U,V)).
% 2.29/2.51 all A B C D P Q U V E F G H (e_qangle(A,B,C,D,P,Q,U,V)&e_qangle(P,Q,U,V,E,F,G,H)->e_qangle(A,B,C,D,E,F,G,H)).
% 2.29/2.51 all A B C D (cong(A,B,C,D)->cong(A,B,D,C)).
% 2.29/2.51 all A B C D (cong(A,B,C,D)->cong(C,D,A,B)).
% 2.29/2.51 all A B C D E F (cong(A,B,C,D)&cong(C,D,E,F)->cong(A,B,E,F)).
% 2.29/2.51 all A B C D P Q U V (e_qratio(A,B,C,D,P,Q,U,V)->e_qratio(B,A,C,D,P,Q,U,V)).
% 2.29/2.51 all A B C D P Q U V (e_qratio(A,B,C,D,P,Q,U,V)->e_qratio(C,D,A,B,U,V,P,Q)).
% 2.29/2.51 all A B C D P Q U V (e_qratio(A,B,C,D,P,Q,U,V)->e_qratio(P,Q,U,V,A,B,C,D)).
% 2.29/2.51 all A B C D P Q U V (e_qratio(A,B,C,D,P,Q,U,V)->e_qratio(A,B,P,Q,C,D,U,V)).
% 2.29/2.51 all A B C D E F G H P Q U V (e_qratio(A,B,C,D,P,Q,U,V)&e_qratio(P,Q,U,V,E,F,G,H)->e_qratio(A,B,C,D,E,F,G,H)).
% 2.29/2.51 all A B C P Q R (simtri(A,C,B,P,R,Q)->simtri(A,B,C,P,Q,R)).
% 2.29/2.51 all A B C P Q R (simtri(B,A,C,Q,P,R)->simtri(A,B,C,P,Q,R)).
% 2.29/2.51 all A B C P Q R (simtri(P,Q,R,A,B,C)->simtri(A,B,C,P,Q,R)).
% 2.29/2.51 all A B C E F G P Q R (simtri(A,B,C,E,F,G)&simtri(E,F,G,P,Q,R)->simtri(A,B,C,P,Q,R)).
% 2.29/2.51 all A B C P Q R (contri(A,C,B,P,R,Q)->contri(A,B,C,P,Q,R)).
% 2.29/2.51 all A B C P Q R (contri(B,A,C,Q,P,R)->contri(A,B,C,P,Q,R)).
% 2.29/2.51 all A B C P Q R (contri(P,Q,R,A,B,C)->contri(A,B,C,P,Q,R)).
% 2.29/2.51 all A B C E F G P Q R (contri(A,B,C,E,F,G)&contri(E,F,G,P,Q,R)->contri(A,B,C,P,Q,R)).
% 2.29/2.51 all A B C D P Q (e_qangle(A,B,P,Q,C,D,P,Q)->para(A,B,C,D)).
% 2.29/2.51 all A B C D P Q (para(A,B,C,D)->e_qangle(A,B,P,Q,C,D,P,Q)).
% 2.29/2.51 all A B P Q (cyclic(A,B,P,Q)->e_qangle(P,A,P,B,Q,A,Q,B)).
% 2.29/2.51 all A B P Q (e_qangle(P,A,P,B,Q,A,Q,B)& -coll(P,Q,A)->cyclic(A,B,P,Q)).
% 2.29/2.51 all A B P Q (e_qangle(P,A,P,B,Q,A,Q,B)&coll(P,Q,B)->cyclic(A,B,P,Q)).
% 2.29/2.51 all A B C P Q R (cyclic(A,B,C,P)&cyclic(A,B,C,Q)&cyclic(A,B,C,R)&e_qangle(C,A,C,B,R,P,R,Q)->cong(A,B,P,Q)).
% 2.29/2.51 all A B C E F (midp(E,A,B)&midp(F,A,C)->para(E,F,B,C)).
% 2.29/2.51 all A B C E F (midp(E,A,B)¶(E,F,B,C)&coll(F,A,C)->midp(F,A,C)).
% 2.29/2.51 all A B O (cong(O,A,O,B)->e_qangle(O,A,A,B,A,B,O,B)).
% 2.29/2.51 all A B O (e_qangle(O,A,A,B,A,B,O,B)& -coll(O,A,B)->cong(O,A,O,B)).
% 2.29/2.51 all A B C O X (circle(O,A,B,C)&perp(O,A,A,X)->e_qangle(A,X,A,B,C,A,C,B)).
% 2.29/2.51 all A B C O X (circle(O,A,B,C)&e_qangle(A,X,A,B,C,A,C,B)->perp(O,A,A,X)).
% 2.29/2.51 all A B C O M (circle(O,A,B,C)&midp(M,B,C)->e_qangle(A,B,A,C,O,B,O,M)).
% 2.29/2.51 all A B C O M (circle(O,A,B,C)&coll(M,B,C)&e_qangle(A,B,A,C,O,B,O,M)->midp(M,B,C)).
% 2.29/2.51 all A B C M (perp(A,B,B,C)&midp(M,A,C)->cong(A,M,B,M)).
% 2.29/2.51 all A B C O (circle(O,A,B,C)&coll(O,A,C)->perp(A,B,B,C)).
% 2.29/2.51 all A B C D (cyclic(A,B,C,D)¶(A,B,C,D)->e_qangle(A,D,C,D,C,D,C,B)).
% 2.29/2.51 all A B M O (midp(M,A,B)&perp(O,M,A,B)->cong(O,A,O,B)).
% 2.29/2.51 all A B P Q (cong(A,P,B,P)&cong(A,Q,B,Q)->perp(A,B,P,Q)).
% 2.29/2.51 all A B P Q (cong(A,P,B,P)&cong(A,Q,B,Q)&cyclic(A,B,P,Q)->perp(P,A,A,Q)).
% 2.29/2.51 all A B C P Q R (e_qangle(A,B,B,C,P,Q,Q,R)&e_qangle(A,C,B,C,P,R,Q,R)& -coll(A,B,C)->simtri(A,B,C,P,Q,R)).
% 2.29/2.51 all A B C P Q R (simtri(A,B,C,P,Q,R)->e_qratio(A,B,A,C,P,Q,P,R)).
% 2.29/2.51 all A B C P Q R (simtri(A,B,C,P,Q,R)->e_qangle(A,B,B,C,P,Q,Q,R)).
% 2.29/2.51 all A B C P Q R (simtri(A,B,C,P,Q,R)&cong(A,B,P,Q)->contri(A,B,C,P,Q,R)).
% 2.29/2.51 all A B C P Q R (contri(A,B,C,P,Q,R)->cong(A,B,P,Q)).
% 2.29/2.51 all A B C D M (midp(M,A,B)&midp(M,C,D)->para(A,C,B,D)).
% 2.29/2.51 all A B C D M (midp(M,A,B)¶(A,C,B,D)¶(A,D,B,C)->midp(M,C,D)).
% 2.29/2.51 all A B C D O (para(A,B,C,D)&coll(O,A,C)&coll(O,B,D)->e_qratio(O,A,A,C,O,B,B,D)).
% 2.29/2.51 all A B C (para(A,B,A,C)->coll(A,B,C)).
% 2.29/2.51 all A B C (cong(A,B,A,C)&coll(A,B,C)->midp(A,B,C)).
% 2.29/2.51 all A B C (midp(A,B,C)->cong(A,B,A,C)).
% 2.29/2.51 all A B C (midp(A,B,C)->coll(A,B,C)).
% 2.29/2.51 all A B C D M N (midp(M,A,B)&midp(N,C,D)->e_qratio(M,A,A,B,N,C,C,D)).
% 2.29/2.51 all A B C D (e_qangle(A,B,C,D,C,D,A,B)& -para(A,B,C,D)->perp(A,B,C,D)).
% 2.29/2.51 all A B C D (e_qangle(A,B,C,D,C,D,A,B)& -perp(A,B,C,D)->para(A,B,C,D)).
% 2.29/2.51 all A B C D P Q U V (e_qangle(A,B,C,D,P,Q,U,V)¶(P,Q,U,V)->para(A,B,C,D)).
% 2.29/2.51 all A B C D P Q U V (e_qangle(A,B,C,D,P,Q,U,V)&perp(P,Q,U,V)->perp(A,B,C,D)).
% 2.29/2.51 all A B C D P Q U V (e_qratio(A,B,C,D,P,Q,U,V)&cong(P,Q,U,V)->cong(A,B,C,D)).
% 2.29/2.51 all A M O X exists B (perp(O,M,M,A)&e_qangle(X,O,M,O,M,O,A,O)->coll(B,A,M)&coll(B,O,X)).
% 2.29/2.51 all A B O X exists M (cong(O,A,O,B)&e_qangle(A,O,O,X,O,X,O,B)->coll(B,A,M)&coll(M,O,X)).
% 2.29/2.51 all A B O X exists M (perp(O,X,A,B)&e_qangle(A,O,O,X,O,X,O,B)->coll(B,A,M)&coll(M,O,X)).
% 2.29/2.51 all A B O X exists M (perp(O,X,A,B)&cong(O,A,O,B)->coll(B,A,M)&coll(M,O,X)).
% 2.29/2.51 all A B P X Y exists Q (e_qangle(A,P,B,P,A,X,B,Y)& -coll(A,B,P)->e_qangle(A,P,B,P,A,Q,B,Q)&cyclic(X,B,P,Q)).
% 2.29/2.51 all A B C D M N exists P (midp(M,A,B)&midp(N,C,D)->midp(P,A,D)¶(P,M,B,D)¶(P,N,A,C)).
% 2.29/2.51 all A B C D M N Q exists P (midp(M,A,B)&midp(N,C,D)&coll(C,A,B)&coll(D,A,B)->midp(P,A,Q)).
% 2.29/2.51 all A B M P Q R M exists X (midp(M,A,B)¶(A,P,R,M)¶(A,P,B,Q)&coll(P,Q,R)->coll(X,A,Q)&coll(X,M,R)).
% 2.29/2.51 all A B C D O exists P (cong(O,C,O,D)&perp(A,B,B,O)->cong(O,C,O,P)¶(P,C,A,B)&cong(B,C,B,P)).
% 2.29/2.51 all A B C H exists P Q (perp(A,H,B,C)&perp(B,H,A,C)->coll(P,C,B)&perp(A,P,C,B)&coll(Q,C,A)&perp(B,Q,C,A)).
% 2.29/2.51 all A B C O exists P (circle(O,A,B,C)->perp(P,A,A,O)).
% 2.29/2.51 all A B C D M N exists P Q (circle(M,A,B,C)&cong(M,A,M,D)&cong(N,A,N,B)&M!=N->coll(P,A,C)&cong(P,N,N,A)&coll(Q,B,D)&cong(Q,N,N,A)).
% 2.29/2.51 all A B C D M exists O (cyclic(A,B,C,D)¶(A,B,C,D)&midp(M,A,B)->circle(O,A,B,C)).
% 2.29/2.51 all A B C D exists O (perp(A,C,C,B)&cyclic(A,B,C,D)->circle(O,A,B,C)).
% 2.29/2.51 all A B C E F exists P (perp(A,C,C,B)&coll(B,E,F)->coll(P,E,F)&perp(P,A,E,F)).
% 2.29/2.51 all A B C D M exists P (perp(A,B,A,C)&perp(C,A,C,D)&midp(M,B,D)->midp(P,A,C)).
% 2.29/2.51 all A B O exists C (cong(O,A,O,B)&perp(A,O,O,B)->coll(A,O,C)&cong(O,A,O,C)).
% 2.29/2.51 all A B C D P Q exists R (para(A,B,C,D)&coll(P,A,C)&coll(P,B,D)&coll(Q,A,B)->coll(P,Q,R)&coll(R,C,D)).
% 2.29/2.51 -(all A B C O A1 P Q S D G NWPNT1 NWPNT2 (circle(O,A,B,C)&midp(A1,C,B)&circle(O,A,P,NWPNT1)&coll(P,A,A1)&e_qangle(Q,A,A,B,C,A,A,A1)&circle(O,A,Q,NWPNT2)&coll(S,B,C)&coll(S,A,Q)&perp(D,Q,B,C)&coll(D,B,C)&perp(G,Q,A,B)&coll(G,A,B)->perp(D,G,P,A))).
% 2.29/2.51 end_of_list.
% 2.29/2.51
% 2.29/2.51 -------> usable clausifies to:
% 2.29/2.51
% 2.29/2.51 list(usable).
% 2.29/2.51 0 [] A=A.
% 2.29/2.51 0 [] -coll(A,B,C)|coll(A,C,B).
% 2.29/2.51 0 [] -coll(A,B,C)|coll(B,A,C).
% 2.29/2.51 0 [] -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 2.29/2.51 0 [] -para(A,B,C,D)|para(A,B,D,C).
% 2.29/2.51 0 [] -para(A,B,C,D)|para(C,D,A,B).
% 2.29/2.51 0 [] -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 2.29/2.51 0 [] -perp(A,B,C,D)|perp(A,B,D,C).
% 2.29/2.51 0 [] -perp(A,B,C,D)|perp(C,D,A,B).
% 2.29/2.51 0 [] -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 2.29/2.51 0 [] -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 2.29/2.51 0 [] -midp(M,B,A)|midp(M,A,B).
% 2.29/2.51 0 [] -cong(O,A,O,B)| -cong(O,A,O,C)|circle(O,A,B,C).
% 2.29/2.51 0 [] -cong(O,A,O,B)| -cong(O,A,O,C)| -cong(O,A,O,D)|cyclic(A,B,C,D).
% 2.29/2.51 0 [] -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 2.29/2.51 0 [] -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 2.29/2.51 0 [] -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 2.29/2.51 0 [] -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 2.29/2.51 0 [] -e_qangle(A,B,C,D,P,Q,U,V)|e_qangle(B,A,C,D,P,Q,U,V).
% 2.29/2.51 0 [] -e_qangle(A,B,C,D,P,Q,U,V)|e_qangle(C,D,A,B,U,V,P,Q).
% 2.29/2.51 0 [] -e_qangle(A,B,C,D,P,Q,U,V)|e_qangle(P,Q,U,V,A,B,C,D).
% 2.29/2.51 0 [] -e_qangle(A,B,C,D,P,Q,U,V)|e_qangle(A,B,P,Q,C,D,U,V).
% 2.29/2.51 0 [] -e_qangle(A,B,C,D,P,Q,U,V)| -e_qangle(P,Q,U,V,E,F,G,H)|e_qangle(A,B,C,D,E,F,G,H).
% 2.29/2.51 0 [] -cong(A,B,C,D)|cong(A,B,D,C).
% 2.29/2.51 0 [] -cong(A,B,C,D)|cong(C,D,A,B).
% 2.29/2.51 0 [] -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 2.29/2.51 0 [] -e_qratio(A,B,C,D,P,Q,U,V)|e_qratio(B,A,C,D,P,Q,U,V).
% 2.29/2.51 0 [] -e_qratio(A,B,C,D,P,Q,U,V)|e_qratio(C,D,A,B,U,V,P,Q).
% 2.29/2.51 0 [] -e_qratio(A,B,C,D,P,Q,U,V)|e_qratio(P,Q,U,V,A,B,C,D).
% 2.29/2.51 0 [] -e_qratio(A,B,C,D,P,Q,U,V)|e_qratio(A,B,P,Q,C,D,U,V).
% 2.29/2.51 0 [] -e_qratio(A,B,C,D,P,Q,U,V)| -e_qratio(P,Q,U,V,E,F,G,H)|e_qratio(A,B,C,D,E,F,G,H).
% 2.29/2.51 0 [] -simtri(A,C,B,P,R,Q)|simtri(A,B,C,P,Q,R).
% 2.29/2.51 0 [] -simtri(B,A,C,Q,P,R)|simtri(A,B,C,P,Q,R).
% 2.29/2.51 0 [] -simtri(P,Q,R,A,B,C)|simtri(A,B,C,P,Q,R).
% 2.29/2.51 0 [] -simtri(A,B,C,E,F,G)| -simtri(E,F,G,P,Q,R)|simtri(A,B,C,P,Q,R).
% 2.29/2.51 0 [] -contri(A,C,B,P,R,Q)|contri(A,B,C,P,Q,R).
% 2.29/2.51 0 [] -contri(B,A,C,Q,P,R)|contri(A,B,C,P,Q,R).
% 2.29/2.51 0 [] -contri(P,Q,R,A,B,C)|contri(A,B,C,P,Q,R).
% 2.29/2.51 0 [] -contri(A,B,C,E,F,G)| -contri(E,F,G,P,Q,R)|contri(A,B,C,P,Q,R).
% 2.29/2.51 0 [] -e_qangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D).
% 2.29/2.51 0 [] -para(A,B,C,D)|e_qangle(A,B,P,Q,C,D,P,Q).
% 2.29/2.51 0 [] -cyclic(A,B,P,Q)|e_qangle(P,A,P,B,Q,A,Q,B).
% 2.29/2.51 0 [] -e_qangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A)|cyclic(A,B,P,Q).
% 2.29/2.51 0 [] -e_qangle(P,A,P,B,Q,A,Q,B)| -coll(P,Q,B)|cyclic(A,B,P,Q).
% 2.29/2.51 0 [] -cyclic(A,B,C,P)| -cyclic(A,B,C,Q)| -cyclic(A,B,C,R)| -e_qangle(C,A,C,B,R,P,R,Q)|cong(A,B,P,Q).
% 2.29/2.51 0 [] -midp(E,A,B)| -midp(F,A,C)|para(E,F,B,C).
% 2.29/2.51 0 [] -midp(E,A,B)| -para(E,F,B,C)| -coll(F,A,C)|midp(F,A,C).
% 2.29/2.51 0 [] -cong(O,A,O,B)|e_qangle(O,A,A,B,A,B,O,B).
% 2.29/2.51 0 [] -e_qangle(O,A,A,B,A,B,O,B)|coll(O,A,B)|cong(O,A,O,B).
% 2.29/2.51 0 [] -circle(O,A,B,C)| -perp(O,A,A,X)|e_qangle(A,X,A,B,C,A,C,B).
% 2.29/2.51 0 [] -circle(O,A,B,C)| -e_qangle(A,X,A,B,C,A,C,B)|perp(O,A,A,X).
% 2.29/2.51 0 [] -circle(O,A,B,C)| -midp(M,B,C)|e_qangle(A,B,A,C,O,B,O,M).
% 2.29/2.51 0 [] -circle(O,A,B,C)| -coll(M,B,C)| -e_qangle(A,B,A,C,O,B,O,M)|midp(M,B,C).
% 2.29/2.51 0 [] -perp(A,B,B,C)| -midp(M,A,C)|cong(A,M,B,M).
% 2.29/2.51 0 [] -circle(O,A,B,C)| -coll(O,A,C)|perp(A,B,B,C).
% 2.29/2.51 0 [] -cyclic(A,B,C,D)| -para(A,B,C,D)|e_qangle(A,D,C,D,C,D,C,B).
% 2.29/2.51 0 [] -midp(M,A,B)| -perp(O,M,A,B)|cong(O,A,O,B).
% 2.29/2.51 0 [] -cong(A,P,B,P)| -cong(A,Q,B,Q)|perp(A,B,P,Q).
% 2.29/2.51 0 [] -cong(A,P,B,P)| -cong(A,Q,B,Q)| -cyclic(A,B,P,Q)|perp(P,A,A,Q).
% 2.29/2.51 0 [] -e_qangle(A,B,B,C,P,Q,Q,R)| -e_qangle(A,C,B,C,P,R,Q,R)|coll(A,B,C)|simtri(A,B,C,P,Q,R).
% 2.29/2.51 0 [] -simtri(A,B,C,P,Q,R)|e_qratio(A,B,A,C,P,Q,P,R).
% 2.29/2.51 0 [] -simtri(A,B,C,P,Q,R)|e_qangle(A,B,B,C,P,Q,Q,R).
% 2.29/2.51 0 [] -simtri(A,B,C,P,Q,R)| -cong(A,B,P,Q)|contri(A,B,C,P,Q,R).
% 2.29/2.51 0 [] -contri(A,B,C,P,Q,R)|cong(A,B,P,Q).
% 2.29/2.51 0 [] -midp(M,A,B)| -midp(M,C,D)|para(A,C,B,D).
% 2.29/2.51 0 [] -midp(M,A,B)| -para(A,C,B,D)| -para(A,D,B,C)|midp(M,C,D).
% 2.29/2.51 0 [] -para(A,B,C,D)| -coll(O,A,C)| -coll(O,B,D)|e_qratio(O,A,A,C,O,B,B,D).
% 2.29/2.51 0 [] -para(A,B,A,C)|coll(A,B,C).
% 2.29/2.51 0 [] -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 2.29/2.51 0 [] -midp(A,B,C)|cong(A,B,A,C).
% 2.29/2.51 0 [] -midp(A,B,C)|coll(A,B,C).
% 2.29/2.51 0 [] -midp(M,A,B)| -midp(N,C,D)|e_qratio(M,A,A,B,N,C,C,D).
% 2.29/2.51 0 [] -e_qangle(A,B,C,D,C,D,A,B)|para(A,B,C,D)|perp(A,B,C,D).
% 2.29/2.51 0 [] -e_qangle(A,B,C,D,C,D,A,B)|perp(A,B,C,D)|para(A,B,C,D).
% 2.29/2.51 0 [] -e_qangle(A,B,C,D,P,Q,U,V)| -para(P,Q,U,V)|para(A,B,C,D).
% 2.29/2.51 0 [] -e_qangle(A,B,C,D,P,Q,U,V)| -perp(P,Q,U,V)|perp(A,B,C,D).
% 2.29/2.51 0 [] -e_qratio(A,B,C,D,P,Q,U,V)| -cong(P,Q,U,V)|cong(A,B,C,D).
% 2.29/2.51 0 [] -perp(O,M,M,A)| -e_qangle(X,O,M,O,M,O,A,O)|coll($f1(A,M,O,X),A,M).
% 2.29/2.51 0 [] -perp(O,M,M,A)| -e_qangle(X,O,M,O,M,O,A,O)|coll($f1(A,M,O,X),O,X).
% 2.29/2.51 0 [] -cong(O,A,O,B)| -e_qangle(A,O,O,X,O,X,O,B)|coll(B,A,$f2(A,B,O,X)).
% 2.29/2.51 0 [] -cong(O,A,O,B)| -e_qangle(A,O,O,X,O,X,O,B)|coll($f2(A,B,O,X),O,X).
% 2.29/2.51 0 [] -perp(O,X,A,B)| -e_qangle(A,O,O,X,O,X,O,B)|coll(B,A,$f3(A,B,O,X)).
% 2.29/2.51 0 [] -perp(O,X,A,B)| -e_qangle(A,O,O,X,O,X,O,B)|coll($f3(A,B,O,X),O,X).
% 2.29/2.51 0 [] -perp(O,X,A,B)| -cong(O,A,O,B)|coll(B,A,$f4(A,B,O,X)).
% 2.29/2.51 0 [] -perp(O,X,A,B)| -cong(O,A,O,B)|coll($f4(A,B,O,X),O,X).
% 2.29/2.51 0 [] -e_qangle(A,P,B,P,A,X,B,Y)|coll(A,B,P)|e_qangle(A,P,B,P,A,$f5(A,B,P,X,Y),B,$f5(A,B,P,X,Y)).
% 2.29/2.51 0 [] -e_qangle(A,P,B,P,A,X,B,Y)|coll(A,B,P)|cyclic(X,B,P,$f5(A,B,P,X,Y)).
% 2.29/2.51 0 [] -midp(M,A,B)| -midp(N,C,D)|midp($f6(A,B,C,D,M,N),A,D).
% 2.29/2.51 0 [] -midp(M,A,B)| -midp(N,C,D)|para($f6(A,B,C,D,M,N),M,B,D).
% 2.29/2.51 0 [] -midp(M,A,B)| -midp(N,C,D)|para($f6(A,B,C,D,M,N),N,A,C).
% 2.29/2.51 0 [] -midp(M,A,B)| -midp(N,C,D)| -coll(C,A,B)| -coll(D,A,B)|midp($f7(A,B,C,D,M,N,Q),A,Q).
% 2.29/2.51 0 [] -midp(X1,A,B)| -para(A,P,R,X1)| -para(A,P,B,Q)| -coll(P,Q,R)|coll($f8(A,B,M,P,Q,R,X1),A,Q).
% 2.29/2.51 0 [] -midp(X1,A,B)| -para(A,P,R,X1)| -para(A,P,B,Q)| -coll(P,Q,R)|coll($f8(A,B,M,P,Q,R,X1),X1,R).
% 2.29/2.51 0 [] -cong(O,C,O,D)| -perp(A,B,B,O)|cong(O,C,O,$f9(A,B,C,D,O)).
% 2.29/2.51 0 [] -cong(O,C,O,D)| -perp(A,B,B,O)|para($f9(A,B,C,D,O),C,A,B).
% 2.29/2.51 0 [] -cong(O,C,O,D)| -perp(A,B,B,O)|cong(B,C,B,$f9(A,B,C,D,O)).
% 2.29/2.51 0 [] -perp(A,H,B,C)| -perp(B,H,A,C)|coll($f11(A,B,C,H),C,B).
% 2.29/2.51 0 [] -perp(A,H,B,C)| -perp(B,H,A,C)|perp(A,$f11(A,B,C,H),C,B).
% 2.29/2.51 0 [] -perp(A,H,B,C)| -perp(B,H,A,C)|coll($f10(A,B,C,H),C,A).
% 2.29/2.51 0 [] -perp(A,H,B,C)| -perp(B,H,A,C)|perp(B,$f10(A,B,C,H),C,A).
% 2.29/2.51 0 [] -circle(O,A,B,C)|perp($f12(A,B,C,O),A,A,O).
% 2.29/2.51 0 [] -circle(M,A,B,C)| -cong(M,A,M,D)| -cong(N,A,N,B)|M=N|coll($f14(A,B,C,D,M,N),A,C).
% 2.29/2.51 0 [] -circle(M,A,B,C)| -cong(M,A,M,D)| -cong(N,A,N,B)|M=N|cong($f14(A,B,C,D,M,N),N,N,A).
% 2.29/2.51 0 [] -circle(M,A,B,C)| -cong(M,A,M,D)| -cong(N,A,N,B)|M=N|coll($f13(A,B,C,D,M,N),B,D).
% 2.29/2.51 0 [] -circle(M,A,B,C)| -cong(M,A,M,D)| -cong(N,A,N,B)|M=N|cong($f13(A,B,C,D,M,N),N,N,A).
% 2.29/2.51 0 [] -cyclic(A,B,C,D)| -para(A,B,C,D)| -midp(M,A,B)|circle($f15(A,B,C,D,M),A,B,C).
% 2.29/2.51 0 [] -perp(A,C,C,B)| -cyclic(A,B,C,D)|circle($f16(A,B,C,D),A,B,C).
% 2.29/2.51 0 [] -perp(A,C,C,B)| -coll(B,E,F)|coll($f17(A,B,C,E,F),E,F).
% 2.29/2.51 0 [] -perp(A,C,C,B)| -coll(B,E,F)|perp($f17(A,B,C,E,F),A,E,F).
% 2.29/2.51 0 [] -perp(A,B,A,C)| -perp(C,A,C,D)| -midp(M,B,D)|midp($f18(A,B,C,D,M),A,C).
% 2.29/2.51 0 [] -cong(O,A,O,B)| -perp(A,O,O,B)|coll(A,O,$f19(A,B,O)).
% 2.29/2.51 0 [] -cong(O,A,O,B)| -perp(A,O,O,B)|cong(O,A,O,$f19(A,B,O)).
% 2.29/2.51 0 [] -para(A,B,C,D)| -coll(P,A,C)| -coll(P,B,D)| -coll(Q,A,B)|coll(P,Q,$f20(A,B,C,D,P,Q)).
% 2.29/2.51 0 [] -para(A,B,C,D)| -coll(P,A,C)| -coll(P,B,D)| -coll(Q,A,B)|coll($f20(A,B,C,D,P,Q),C,D).
% 2.29/2.51 0 [] circle($c9,$c12,$c11,$c10).
% 2.29/2.51 0 [] midp($c8,$c10,$c11).
% 2.29/2.51 0 [] circle($c9,$c12,$c7,$c2).
% 2.29/2.51 0 [] coll($c7,$c12,$c8).
% 2.29/2.51 0 [] e_qangle($c6,$c12,$c12,$c11,$c10,$c12,$c12,$c8).
% 2.29/2.51 0 [] circle($c9,$c12,$c6,$c1).
% 2.29/2.51 0 [] coll($c5,$c11,$c10).
% 2.29/2.51 0 [] coll($c5,$c12,$c6).
% 2.29/2.51 0 [] perp($c4,$c6,$c11,$c10).
% 2.29/2.51 0 [] coll($c4,$c11,$c10).
% 2.29/2.51 0 [] perp($c3,$c6,$c12,$c11).
% 2.29/2.51 0 [] coll($c3,$c12,$c11).
% 2.29/2.51 0 [] -perp($c4,$c3,$c7,$c12).
% 2.29/2.51 end_of_list.
% 2.29/2.51
% 2.29/2.51 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 2.29/2.51
% 2.29/2.51 This ia a non-Horn set with equality. The strategy will be
% 2.29/2.51 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.29/2.51 deletion, with positive clauses in sos and nonpositive
% 2.29/2.51 clauses in usable.
% 2.29/2.51
% 2.29/2.51 dependent: set(knuth_bendix).
% 2.29/2.51 dependent: set(anl_eq).
% 2.29/2.51 dependent: set(para_from).
% 2.29/2.51 dependent: set(para_into).
% 2.29/2.51 dependent: clear(para_from_right).
% 2.29/2.51 dependent: clear(para_into_right).
% 2.29/2.51 dependent: set(para_from_vars).
% 2.29/2.51 dependent: set(eq_units_both_ways).
% 2.29/2.51 dependent: set(dynamic_demod_all).
% 2.29/2.51 dependent: set(dynamic_demod).
% 2.29/2.51 dependent: set(order_eq).
% 2.29/2.51 dependent: set(back_demod).
% 2.29/2.51 dependent: set(lrpo).
% 2.29/2.51 dependent: set(hyper_res).
% 2.29/2.51 dependent: set(unit_deletion).
% 2.29/2.51 dependent: set(factor).
% 2.29/2.51
% 2.29/2.51 ------------> process usable:
% 2.29/2.51 ** KEPT (pick-wt=8): 1 [] -coll(A,B,C)|coll(A,C,B).
% 2.29/2.51 ** KEPT (pick-wt=8): 2 [] -coll(A,B,C)|coll(B,A,C).
% 2.29/2.51 ** KEPT (pick-wt=12): 3 [] -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 2.29/2.51 ** KEPT (pick-wt=10): 4 [] -para(A,B,C,D)|para(A,B,D,C).
% 2.29/2.51 ** KEPT (pick-wt=10): 5 [] -para(A,B,C,D)|para(C,D,A,B).
% 2.29/2.51 ** KEPT (pick-wt=15): 6 [] -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 2.29/2.51 ** KEPT (pick-wt=10): 7 [] -perp(A,B,C,D)|perp(A,B,D,C).
% 2.29/2.51 ** KEPT (pick-wt=10): 8 [] -perp(A,B,C,D)|perp(C,D,A,B).
% 2.29/2.51 ** KEPT (pick-wt=15): 9 [] -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 2.29/2.51 ** KEPT (pick-wt=15): 10 [] -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 2.29/2.51 ** KEPT (pick-wt=8): 11 [] -midp(A,B,C)|midp(A,C,B).
% 2.29/2.51 ** KEPT (pick-wt=15): 12 [] -cong(A,B,A,C)| -cong(A,B,A,D)|circle(A,B,C,D).
% 2.29/2.51 ** KEPT (pick-wt=20): 13 [] -cong(A,B,A,C)| -cong(A,B,A,D)| -cong(A,B,A,E)|cyclic(B,C,D,E).
% 2.29/2.51 ** KEPT (pick-wt=10): 14 [] -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 2.29/2.51 ** KEPT (pick-wt=10): 15 [] -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 2.29/2.51 ** KEPT (pick-wt=10): 16 [] -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 2.29/2.51 ** KEPT (pick-wt=15): 17 [] -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 2.29/2.51 ** KEPT (pick-wt=18): 18 [] -e_qangle(A,B,C,D,E,F,G,H)|e_qangle(B,A,C,D,E,F,G,H).
% 2.29/2.51 ** KEPT (pick-wt=18): 19 [] -e_qangle(A,B,C,D,E,F,G,H)|e_qangle(C,D,A,B,G,H,E,F).
% 2.29/2.51 ** KEPT (pick-wt=18): 20 [] -e_qangle(A,B,C,D,E,F,G,H)|e_qangle(E,F,G,H,A,B,C,D).
% 2.29/2.51 ** KEPT (pick-wt=18): 21 [] -e_qangle(A,B,C,D,E,F,G,H)|e_qangle(A,B,E,F,C,D,G,H).
% 2.29/2.51 ** KEPT (pick-wt=27): 22 [] -e_qangle(A,B,C,D,E,F,G,H)| -e_qangle(E,F,G,H,I,J,K,L)|e_qangle(A,B,C,D,I,J,K,L).
% 2.29/2.51 ** KEPT (pick-wt=10): 23 [] -cong(A,B,C,D)|cong(A,B,D,C).
% 2.29/2.51 ** KEPT (pick-wt=10): 24 [] -cong(A,B,C,D)|cong(C,D,A,B).
% 2.29/2.51 ** KEPT (pick-wt=15): 25 [] -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 2.29/2.51 ** KEPT (pick-wt=18): 26 [] -e_qratio(A,B,C,D,E,F,G,H)|e_qratio(B,A,C,D,E,F,G,H).
% 2.29/2.51 ** KEPT (pick-wt=18): 27 [] -e_qratio(A,B,C,D,E,F,G,H)|e_qratio(C,D,A,B,G,H,E,F).
% 2.29/2.51 ** KEPT (pick-wt=18): 28 [] -e_qratio(A,B,C,D,E,F,G,H)|e_qratio(E,F,G,H,A,B,C,D).
% 2.29/2.51 ** KEPT (pick-wt=18): 29 [] -e_qratio(A,B,C,D,E,F,G,H)|e_qratio(A,B,E,F,C,D,G,H).
% 2.29/2.51 ** KEPT (pick-wt=27): 30 [] -e_qratio(A,B,C,D,E,F,G,H)| -e_qratio(E,F,G,H,I,J,K,L)|e_qratio(A,B,C,D,I,J,K,L).
% 2.29/2.51 ** KEPT (pick-wt=14): 31 [] -simtri(A,B,C,D,E,F)|simtri(A,C,B,D,F,E).
% 2.29/2.51 ** KEPT (pick-wt=14): 32 [] -simtri(A,B,C,D,E,F)|simtri(B,A,C,E,D,F).
% 2.29/2.51 ** KEPT (pick-wt=14): 33 [] -simtri(A,B,C,D,E,F)|simtri(D,E,F,A,B,C).
% 2.29/2.51 ** KEPT (pick-wt=21): 34 [] -simtri(A,B,C,D,E,F)| -simtri(D,E,F,G,H,I)|simtri(A,B,C,G,H,I).
% 2.29/2.51 ** KEPT (pick-wt=14): 35 [] -contri(A,B,C,D,E,F)|contri(A,C,B,D,F,E).
% 2.29/2.51 ** KEPT (pick-wt=14): 36 [] -contri(A,B,C,D,E,F)|contri(B,A,C,E,D,F).
% 2.29/2.51 ** KEPT (pick-wt=14): 37 [] -contri(A,B,C,D,E,F)|contri(D,E,F,A,B,C).
% 2.29/2.51 ** KEPT (pick-wt=21): 38 [] -contri(A,B,C,D,E,F)| -contri(D,E,F,G,H,I)|contri(A,B,C,G,H,I).
% 2.29/2.51 ** KEPT (pick-wt=14): 39 [] -e_qangle(A,B,C,D,E,F,C,D)|para(A,B,E,F).
% 2.29/2.51 ** KEPT (pick-wt=14): 40 [] -para(A,B,C,D)|e_qangle(A,B,E,F,C,D,E,F).
% 2.29/2.51 ** KEPT (pick-wt=14): 41 [] -cyclic(A,B,C,D)|e_qangle(C,A,C,B,D,A,D,B).
% 2.29/2.51 ** KEPT (pick-wt=18): 42 [] -e_qangle(A,B,A,C,D,B,D,C)|coll(A,D,B)|cyclic(B,C,A,D).
% 2.29/2.51 ** KEPT (pick-wt=18): 43 [] -e_qangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 2.29/2.51 ** KEPT (pick-wt=29): 44 [] -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -cyclic(A,B,C,F)| -e_qangle(C,A,C,B,F,D,F,E)|cong(A,B,D,E).
% 2.29/2.51 ** KEPT (pick-wt=13): 45 [] -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 2.29/2.51 ** KEPT (pick-wt=17): 46 [] -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 2.29/2.51 ** KEPT (pick-wt=14): 47 [] -cong(A,B,A,C)|e_qangle(A,B,B,C,B,C,A,C).
% 2.29/2.51 ** KEPT (pick-wt=18): 48 [] -e_qangle(A,B,B,C,B,C,A,C)|coll(A,B,C)|cong(A,B,A,C).
% 2.29/2.51 ** KEPT (pick-wt=19): 49 [] -circle(A,B,C,D)| -perp(A,B,B,E)|e_qangle(B,E,B,C,D,B,D,C).
% 2.29/2.51 ** KEPT (pick-wt=19): 50 [] -circle(A,B,C,D)| -e_qangle(B,E,B,C,D,B,D,C)|perp(A,B,B,E).
% 2.29/2.51 ** KEPT (pick-wt=18): 51 [] -circle(A,B,C,D)| -midp(E,C,D)|e_qangle(B,C,B,D,A,C,A,E).
% 2.29/2.51 ** KEPT (pick-wt=22): 52 [] -circle(A,B,C,D)| -coll(E,C,D)| -e_qangle(B,C,B,D,A,C,A,E)|midp(E,C,D).
% 2.29/2.51 ** KEPT (pick-wt=14): 53 [] -perp(A,B,B,C)| -midp(D,A,C)|cong(A,D,B,D).
% 2.29/2.51 ** KEPT (pick-wt=14): 54 [] -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 2.29/2.51 ** KEPT (pick-wt=19): 55 [] -cyclic(A,B,C,D)| -para(A,B,C,D)|e_qangle(A,D,C,D,C,D,C,B).
% 2.29/2.51 ** KEPT (pick-wt=14): 56 [] -midp(A,B,C)| -perp(D,A,B,C)|cong(D,B,D,C).
% 2.29/2.51 ** KEPT (pick-wt=15): 57 [] -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 2.29/2.51 ** KEPT (pick-wt=20): 58 [] -cong(A,B,C,B)| -cong(A,D,C,D)| -cyclic(A,C,B,D)|perp(B,A,A,D).
% 2.29/2.51 ** KEPT (pick-wt=29): 59 [] -e_qangle(A,B,B,C,D,E,E,F)| -e_qangle(A,C,B,C,D,F,E,F)|coll(A,B,C)|simtri(A,B,C,D,E,F).
% 2.29/2.51 ** KEPT (pick-wt=16): 60 [] -simtri(A,B,C,D,E,F)|e_qratio(A,B,A,C,D,E,D,F).
% 2.29/2.51 ** KEPT (pick-wt=16): 61 [] -simtri(A,B,C,D,E,F)|e_qangle(A,B,B,C,D,E,E,F).
% 2.29/2.51 ** KEPT (pick-wt=19): 62 [] -simtri(A,B,C,D,E,F)| -cong(A,B,D,E)|contri(A,B,C,D,E,F).
% 2.29/2.51 ** KEPT (pick-wt=12): 63 [] -contri(A,B,C,D,E,F)|cong(A,B,D,E).
% 2.29/2.51 ** KEPT (pick-wt=13): 64 [] -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 2.29/2.51 ** KEPT (pick-wt=18): 65 [] -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 2.29/2.52 ** KEPT (pick-wt=22): 66 [] -para(A,B,C,D)| -coll(E,A,C)| -coll(E,B,D)|e_qratio(E,A,A,C,E,B,B,D).
% 2.29/2.52 ** KEPT (pick-wt=9): 67 [] -para(A,B,A,C)|coll(A,B,C).
% 2.29/2.52 ** KEPT (pick-wt=13): 68 [] -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 2.29/2.52 ** KEPT (pick-wt=9): 69 [] -midp(A,B,C)|cong(A,B,A,C).
% 2.29/2.52 ** KEPT (pick-wt=8): 70 [] -midp(A,B,C)|coll(A,B,C).
% 2.29/2.52 ** KEPT (pick-wt=17): 71 [] -midp(A,B,C)| -midp(D,E,F)|e_qratio(A,B,B,C,D,E,E,F).
% 2.29/2.52 ** KEPT (pick-wt=19): 72 [] -e_qangle(A,B,C,D,C,D,A,B)|para(A,B,C,D)|perp(A,B,C,D).
% 2.29/2.52 Following clause subsumed by 72 during input processing: 0 [] -e_qangle(A,B,C,D,C,D,A,B)|perp(A,B,C,D)|para(A,B,C,D).
% 2.29/2.52 ** KEPT (pick-wt=19): 73 [] -e_qangle(A,B,C,D,E,F,G,H)| -para(E,F,G,H)|para(A,B,C,D).
% 2.29/2.52 ** KEPT (pick-wt=19): 74 [] -e_qangle(A,B,C,D,E,F,G,H)| -perp(E,F,G,H)|perp(A,B,C,D).
% 2.29/2.52 ** KEPT (pick-wt=19): 75 [] -e_qratio(A,B,C,D,E,F,G,H)| -cong(E,F,G,H)|cong(A,B,C,D).
% 2.29/2.52 ** KEPT (pick-wt=22): 76 [] -perp(A,B,B,C)| -e_qangle(D,A,B,A,B,A,C,A)|coll($f1(C,B,A,D),C,B).
% 2.29/2.52 ** KEPT (pick-wt=22): 77 [] -perp(A,B,B,C)| -e_qangle(D,A,B,A,B,A,C,A)|coll($f1(C,B,A,D),A,D).
% 2.29/2.52 ** KEPT (pick-wt=22): 78 [] -cong(A,B,A,C)| -e_qangle(B,A,A,D,A,D,A,C)|coll(C,B,$f2(B,C,A,D)).
% 2.29/2.52 ** KEPT (pick-wt=22): 79 [] -cong(A,B,A,C)| -e_qangle(B,A,A,D,A,D,A,C)|coll($f2(B,C,A,D),A,D).
% 2.29/2.52 ** KEPT (pick-wt=22): 80 [] -perp(A,B,C,D)| -e_qangle(C,A,A,B,A,B,A,D)|coll(D,C,$f3(C,D,A,B)).
% 2.29/2.52 ** KEPT (pick-wt=22): 81 [] -perp(A,B,C,D)| -e_qangle(C,A,A,B,A,B,A,D)|coll($f3(C,D,A,B),A,B).
% 2.29/2.52 ** KEPT (pick-wt=18): 82 [] -perp(A,B,C,D)| -cong(A,C,A,D)|coll(D,C,$f4(C,D,A,B)).
% 2.29/2.52 ** KEPT (pick-wt=18): 83 [] -perp(A,B,C,D)| -cong(A,C,A,D)|coll($f4(C,D,A,B),A,B).
% 2.29/2.52 ** KEPT (pick-wt=32): 84 [] -e_qangle(A,B,C,B,A,D,C,E)|coll(A,C,B)|e_qangle(A,B,C,B,A,$f5(A,C,B,D,E),C,$f5(A,C,B,D,E)).
% 2.29/2.52 ** KEPT (pick-wt=23): 85 [] -e_qangle(A,B,C,B,A,D,C,E)|coll(A,C,B)|cyclic(D,C,B,$f5(A,C,B,D,E)).
% 2.29/2.52 ** KEPT (pick-wt=18): 86 [] -midp(A,B,C)| -midp(D,E,F)|midp($f6(B,C,E,F,A,D),B,F).
% 2.29/2.52 ** KEPT (pick-wt=19): 87 [] -midp(A,B,C)| -midp(D,E,F)|para($f6(B,C,E,F,A,D),A,C,F).
% 2.29/2.52 ** KEPT (pick-wt=19): 88 [] -midp(A,B,C)| -midp(D,E,F)|para($f6(B,C,E,F,A,D),D,B,E).
% 2.29/2.52 ** KEPT (pick-wt=27): 89 [] -midp(A,B,C)| -midp(D,E,F)| -coll(E,B,C)| -coll(F,B,C)|midp($f7(B,C,E,F,A,D,G),B,G).
% 2.29/2.52 ** KEPT (pick-wt=29): 90 [] -midp(A,B,C)| -para(B,D,E,A)| -para(B,D,C,F)| -coll(D,F,E)|coll($f8(B,C,G,D,F,E,A),B,F).
% 2.29/2.52 ** KEPT (pick-wt=29): 91 [] -midp(A,B,C)| -para(B,D,E,A)| -para(B,D,C,F)| -coll(D,F,E)|coll($f8(B,C,G,D,F,E,A),A,E).
% 2.29/2.52 ** KEPT (pick-wt=20): 92 [] -cong(A,B,A,C)| -perp(D,E,E,A)|cong(A,B,A,$f9(D,E,B,C,A)).
% 2.29/2.52 ** KEPT (pick-wt=20): 93 [] -cong(A,B,A,C)| -perp(D,E,E,A)|para($f9(D,E,B,C,A),B,D,E).
% 2.29/2.52 ** KEPT (pick-wt=20): 94 [] -cong(A,B,A,C)| -perp(D,E,E,A)|cong(E,B,E,$f9(D,E,B,C,A)).
% 2.29/2.52 ** KEPT (pick-wt=18): 95 [] -perp(A,B,C,D)| -perp(C,B,A,D)|coll($f11(A,C,D,B),D,C).
% 2.29/2.52 ** KEPT (pick-wt=19): 96 [] -perp(A,B,C,D)| -perp(C,B,A,D)|perp(A,$f11(A,C,D,B),D,C).
% 2.29/2.52 ** KEPT (pick-wt=18): 97 [] -perp(A,B,C,D)| -perp(C,B,A,D)|coll($f10(A,C,D,B),D,A).
% 2.29/2.52 ** KEPT (pick-wt=19): 98 [] -perp(A,B,C,D)| -perp(C,B,A,D)|perp(C,$f10(A,C,D,B),D,A).
% 2.29/2.52 ** KEPT (pick-wt=14): 99 [] -circle(A,B,C,D)|perp($f12(B,C,D,A),B,B,A).
% 2.29/2.52 ** KEPT (pick-wt=28): 100 [] -circle(A,B,C,D)| -cong(A,B,A,E)| -cong(F,B,F,C)|A=F|coll($f14(B,C,D,E,A,F),B,D).
% 2.29/2.52 ** KEPT (pick-wt=29): 101 [] -circle(A,B,C,D)| -cong(A,B,A,E)| -cong(F,B,F,C)|A=F|cong($f14(B,C,D,E,A,F),F,F,B).
% 2.29/2.52 ** KEPT (pick-wt=28): 102 [] -circle(A,B,C,D)| -cong(A,B,A,E)| -cong(F,B,F,C)|A=F|coll($f13(B,C,D,E,A,F),C,E).
% 2.29/2.52 ** KEPT (pick-wt=29): 103 [] -circle(A,B,C,D)| -cong(A,B,A,E)| -cong(F,B,F,C)|A=F|cong($f13(B,C,D,E,A,F),F,F,B).
% 2.29/2.52 ** KEPT (pick-wt=24): 104 [] -cyclic(A,B,C,D)| -para(A,B,C,D)| -midp(E,A,B)|circle($f15(A,B,C,D,E),A,B,C).
% 2.29/2.52 ** KEPT (pick-wt=19): 105 [] -perp(A,B,B,C)| -cyclic(A,C,B,D)|circle($f16(A,C,B,D),A,C,B).
% 2.29/2.52 ** KEPT (pick-wt=18): 106 [] -perp(A,B,B,C)| -coll(C,D,E)|coll($f17(A,C,B,D,E),D,E).
% 2.29/2.52 ** KEPT (pick-wt=19): 107 [] -perp(A,B,B,C)| -coll(C,D,E)|perp($f17(A,C,B,D,E),A,D,E).
% 2.29/2.52 ** KEPT (pick-wt=23): 108 [] -perp(A,B,A,C)| -perp(C,A,C,D)| -midp(E,B,D)|midp($f18(A,B,C,D,E),A,C).
% 2.29/2.52 ** KEPT (pick-wt=17): 109 [] -cong(A,B,A,C)| -perp(B,A,A,C)|coll(B,A,$f19(B,C,A)).
% 4.51/4.70 ** KEPT (pick-wt=18): 110 [] -cong(A,B,A,C)| -perp(B,A,A,C)|cong(A,B,A,$f19(B,C,A)).
% 4.51/4.70 ** KEPT (pick-wt=27): 111 [] -para(A,B,C,D)| -coll(E,A,C)| -coll(E,B,D)| -coll(F,A,B)|coll(E,F,$f20(A,B,C,D,E,F)).
% 4.51/4.70 ** KEPT (pick-wt=27): 112 [] -para(A,B,C,D)| -coll(E,A,C)| -coll(E,B,D)| -coll(F,A,B)|coll($f20(A,B,C,D,E,F),C,D).
% 4.51/4.70 ** KEPT (pick-wt=5): 113 [] -perp($c4,$c3,$c7,$c12).
% 4.51/4.70
% 4.51/4.70 ------------> process sos:
% 4.51/4.70 ** KEPT (pick-wt=3): 159 [] A=A.
% 4.51/4.70 ** KEPT (pick-wt=5): 160 [] circle($c9,$c12,$c11,$c10).
% 4.51/4.70 ** KEPT (pick-wt=4): 161 [] midp($c8,$c10,$c11).
% 4.51/4.70 ** KEPT (pick-wt=5): 162 [] circle($c9,$c12,$c7,$c2).
% 4.51/4.70 ** KEPT (pick-wt=4): 163 [] coll($c7,$c12,$c8).
% 4.51/4.70 ** KEPT (pick-wt=9): 164 [] e_qangle($c6,$c12,$c12,$c11,$c10,$c12,$c12,$c8).
% 4.51/4.70 ** KEPT (pick-wt=5): 165 [] circle($c9,$c12,$c6,$c1).
% 4.51/4.70 ** KEPT (pick-wt=4): 166 [] coll($c5,$c11,$c10).
% 4.51/4.70 ** KEPT (pick-wt=4): 167 [] coll($c5,$c12,$c6).
% 4.51/4.70 ** KEPT (pick-wt=5): 168 [] perp($c4,$c6,$c11,$c10).
% 4.51/4.70 ** KEPT (pick-wt=4): 169 [] coll($c4,$c11,$c10).
% 4.51/4.70 ** KEPT (pick-wt=5): 170 [] perp($c3,$c6,$c12,$c11).
% 4.51/4.70 ** KEPT (pick-wt=4): 171 [] coll($c3,$c12,$c11).
% 4.51/4.70 Following clause subsumed by 159 during input processing: 0 [copy,159,flip.1] A=A.
% 4.51/4.70 159 back subsumes 146.
% 4.51/4.70 159 back subsumes 145.
% 4.51/4.70 159 back subsumes 144.
% 4.51/4.70 159 back subsumes 143.
% 4.51/4.70
% 4.51/4.70 ======= end of input processing =======
% 4.51/4.70
% 4.51/4.70 =========== start of search ===========
% 4.51/4.70
% 4.51/4.70
% 4.51/4.70 Resetting weight limit to 4.
% 4.51/4.70
% 4.51/4.70
% 4.51/4.70 Resetting weight limit to 4.
% 4.51/4.70
% 4.51/4.70 sos_size=1361
% 4.51/4.70
% 4.51/4.70 Search stopped because sos empty.
% 4.51/4.70
% 4.51/4.70
% 4.51/4.70 Search stopped because sos empty.
% 4.51/4.70
% 4.51/4.70 ============ end of search ============
% 4.51/4.70
% 4.51/4.70 -------------- statistics -------------
% 4.51/4.70 clauses given 2031
% 4.51/4.70 clauses generated 71340
% 4.51/4.70 clauses kept 2189
% 4.51/4.70 clauses forward subsumed 10452
% 4.51/4.70 clauses back subsumed 4
% 4.51/4.70 Kbytes malloced 5859
% 4.51/4.70
% 4.51/4.70 ----------- times (seconds) -----------
% 4.51/4.70 user CPU time 2.19 (0 hr, 0 min, 2 sec)
% 4.51/4.70 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 4.51/4.70 wall-clock time 4 (0 hr, 0 min, 4 sec)
% 4.51/4.70
% 4.51/4.70 Process 28189 finished Wed Jul 27 07:06:42 2022
% 4.51/4.70 Otter interrupted
% 4.51/4.70 PROOF NOT FOUND
%------------------------------------------------------------------------------