TSTP Solution File: GEO134+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO134+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 12:54:30 EDT 2022
% Result : Timeout 299.87s 300.03s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO134+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 07:19:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.86/2.07 ----- Otter 3.3f, August 2004 -----
% 1.86/2.07 The process was started by sandbox2 on n003.cluster.edu,
% 1.86/2.07 Wed Jul 27 07:19:26 2022
% 1.86/2.07 The command was "./otter". The process ID is 23285.
% 1.86/2.07
% 1.86/2.07 set(prolog_style_variables).
% 1.86/2.07 set(auto).
% 1.86/2.07 dependent: set(auto1).
% 1.86/2.07 dependent: set(process_input).
% 1.86/2.07 dependent: clear(print_kept).
% 1.86/2.07 dependent: clear(print_new_demod).
% 1.86/2.07 dependent: clear(print_back_demod).
% 1.86/2.07 dependent: clear(print_back_sub).
% 1.86/2.07 dependent: set(control_memory).
% 1.86/2.07 dependent: assign(max_mem, 12000).
% 1.86/2.07 dependent: assign(pick_given_ratio, 4).
% 1.86/2.07 dependent: assign(stats_level, 1).
% 1.86/2.07 dependent: assign(max_seconds, 10800).
% 1.86/2.07 clear(print_given).
% 1.86/2.07
% 1.86/2.07 formula_list(usable).
% 1.86/2.07 all A (A=A).
% 1.86/2.07 all C C1 (part_of(C1,C)<-> (all P (incident_c(P,C1)->incident_c(P,C)))).
% 1.86/2.07 all C C1 C2 (C=sum(C1,C2)<-> (all Q (incident_c(Q,C)<->incident_c(Q,C1)|incident_c(Q,C2)))).
% 1.86/2.07 all P C (end_point(P,C)<->incident_c(P,C)& (all C1 C2 (part_of(C1,C)&part_of(C2,C)&incident_c(P,C1)&incident_c(P,C2)->part_of(C1,C2)|part_of(C2,C1)))).
% 1.86/2.07 all P C (inner_point(P,C)<->incident_c(P,C)& -end_point(P,C)).
% 1.86/2.07 all P C C1 (meet(P,C,C1)<->incident_c(P,C)&incident_c(P,C1)& (all Q (incident_c(Q,C)&incident_c(Q,C1)->end_point(Q,C)&end_point(Q,C1)))).
% 1.86/2.07 all C (closed(C)<-> -(exists P end_point(P,C))).
% 1.86/2.07 all C (open(C)<-> (exists P end_point(P,C))).
% 1.86/2.07 all C C1 (part_of(C1,C)&C1!=C->open(C1)).
% 1.86/2.07 all C C1 C2 C3 (part_of(C1,C)&part_of(C2,C)&part_of(C3,C)& (exists P (end_point(P,C1)&end_point(P,C2)&end_point(P,C3)))->part_of(C2,C3)|part_of(C3,C2)|part_of(C1,C2)|part_of(C2,C1)|part_of(C1,C3)|part_of(C3,C1)).
% 1.86/2.07 all C exists P inner_point(P,C).
% 1.86/2.07 all C P (inner_point(P,C)-> (exists C1 C2 (meet(P,C1,C2)&C=sum(C1,C2)))).
% 1.86/2.07 all C P Q R (end_point(P,C)&end_point(Q,C)&end_point(R,C)->P=Q|P=R|Q=R).
% 1.86/2.07 all C P (end_point(P,C)-> (exists Q (end_point(Q,C)&P!=Q))).
% 1.86/2.07 all C C1 C2 P (closed(C)&meet(P,C1,C2)&C=sum(C1,C2)-> (all Q (end_point(Q,C1)->meet(Q,C1,C2)))).
% 1.86/2.07 all C1 C2 ((exists P meet(P,C1,C2))-> (exists C (C=sum(C1,C2)))).
% 1.86/2.07 all C C1 ((all P (incident_c(P,C)<->incident_c(P,C1)))->C=C1).
% 1.86/2.07 all C P Q R (between_c(C,P,Q,R)<->P!=R& (exists Cpp (part_of(Cpp,C)&end_point(P,Cpp)&end_point(R,Cpp)&inner_point(Q,Cpp)))).
% 1.86/2.07 all O P Q R (between_o(O,P,Q,R)<->ordered_by(O,P,Q)&ordered_by(O,Q,R)|ordered_by(O,R,Q)&ordered_by(O,Q,P)).
% 1.86/2.07 all P O (start_point(P,O)<->incident_o(P,O)& (all Q (P!=Q&incident_o(Q,O)->ordered_by(O,P,Q)))).
% 1.86/2.07 all P O (finish_point(P,O)<->incident_o(P,O)& (all Q (P!=Q&incident_o(Q,O)->ordered_by(O,Q,P)))).
% 1.86/2.07 all O P Q (ordered_by(O,P,Q)->incident_o(P,O)&incident_o(Q,O)).
% 1.86/2.07 all O exists C (open(C)& (all P (incident_o(P,O)<->incident_c(P,C)))).
% 1.86/2.07 all P Q R O (between_o(O,P,Q,R)<-> (exists C ((all P (incident_o(P,O)<->incident_c(P,C)))&between_c(C,P,Q,R)))).
% 1.86/2.07 all O exists P start_point(P,O).
% 1.86/2.07 all P Q C (open(C)&P!=Q&incident_c(P,C)&incident_c(Q,C)-> (exists O ((all R (incident_o(R,O)<->incident_c(R,C)))&ordered_by(O,P,Q)))).
% 1.86/2.07 all O1 O2 ((all P Q (ordered_by(O1,P,Q)<->ordered_by(O2,P,Q)))->O1=O2).
% 1.86/2.07 all C O (C=underlying_curve(O)<-> (all P (incident_o(P,O)<->incident_c(P,C)))).
% 1.86/2.07 -(all O P Q R S (ordered_by(O,P,Q)&P!=R& -between(O,R,P,Q)-> (ordered_by(O,R,S)<->between(O,P,R,S)))).
% 1.86/2.07 end_of_list.
% 1.86/2.07
% 1.86/2.07 -------> usable clausifies to:
% 1.86/2.07
% 1.86/2.07 list(usable).
% 1.86/2.07 0 [] A=A.
% 1.86/2.07 0 [] -part_of(C1,C)| -incident_c(P,C1)|incident_c(P,C).
% 1.86/2.07 0 [] part_of(C1,C)|incident_c($f1(C,C1),C1).
% 1.86/2.07 0 [] part_of(C1,C)| -incident_c($f1(C,C1),C).
% 1.86/2.07 0 [] C!=sum(C1,C2)| -incident_c(Q,C)|incident_c(Q,C1)|incident_c(Q,C2).
% 1.86/2.07 0 [] C!=sum(C1,C2)|incident_c(Q,C)| -incident_c(Q,C1).
% 1.86/2.07 0 [] C!=sum(C1,C2)|incident_c(Q,C)| -incident_c(Q,C2).
% 1.86/2.07 0 [] C=sum(C1,C2)|incident_c($f2(C,C1,C2),C)|incident_c($f2(C,C1,C2),C1)|incident_c($f2(C,C1,C2),C2).
% 1.86/2.07 0 [] C=sum(C1,C2)| -incident_c($f2(C,C1,C2),C)| -incident_c($f2(C,C1,C2),C1).
% 1.86/2.07 0 [] C=sum(C1,C2)| -incident_c($f2(C,C1,C2),C)| -incident_c($f2(C,C1,C2),C2).
% 1.86/2.07 0 [] -end_point(P,C)|incident_c(P,C).
% 1.86/2.07 0 [] -end_point(P,C)| -part_of(C1,C)| -part_of(C2,C)| -incident_c(P,C1)| -incident_c(P,C2)|part_of(C1,C2)|part_of(C2,C1).
% 1.86/2.07 0 [] end_point(P,C)| -incident_c(P,C)|part_of($f4(P,C),C).
% 1.86/2.07 0 [] end_point(P,C)| -incident_c(P,C)|part_of($f3(P,C),C).
% 1.86/2.07 0 [] end_point(P,C)| -incident_c(P,C)|incident_c(P,$f4(P,C)).
% 1.86/2.07 0 [] end_point(P,C)| -incident_c(P,C)|incident_c(P,$f3(P,C)).
% 1.86/2.07 0 [] end_point(P,C)| -incident_c(P,C)| -part_of($f4(P,C),$f3(P,C)).
% 1.86/2.07 0 [] end_point(P,C)| -incident_c(P,C)| -part_of($f3(P,C),$f4(P,C)).
% 1.86/2.07 0 [] -inner_point(P,C)|incident_c(P,C).
% 1.86/2.07 0 [] -inner_point(P,C)| -end_point(P,C).
% 1.86/2.07 0 [] inner_point(P,C)| -incident_c(P,C)|end_point(P,C).
% 1.86/2.07 0 [] -meet(P,C,C1)|incident_c(P,C).
% 1.86/2.07 0 [] -meet(P,C,C1)|incident_c(P,C1).
% 1.86/2.07 0 [] -meet(P,C,C1)| -incident_c(Q,C)| -incident_c(Q,C1)|end_point(Q,C).
% 1.86/2.07 0 [] -meet(P,C,C1)| -incident_c(Q,C)| -incident_c(Q,C1)|end_point(Q,C1).
% 1.86/2.07 0 [] meet(P,C,C1)| -incident_c(P,C)| -incident_c(P,C1)|incident_c($f5(P,C,C1),C).
% 1.86/2.07 0 [] meet(P,C,C1)| -incident_c(P,C)| -incident_c(P,C1)|incident_c($f5(P,C,C1),C1).
% 1.86/2.07 0 [] meet(P,C,C1)| -incident_c(P,C)| -incident_c(P,C1)| -end_point($f5(P,C,C1),C)| -end_point($f5(P,C,C1),C1).
% 1.86/2.07 0 [] -closed(C)| -end_point(P,C).
% 1.86/2.07 0 [] closed(C)|end_point($f6(C),C).
% 1.86/2.07 0 [] -open(C)|end_point($f7(C),C).
% 1.86/2.07 0 [] open(C)| -end_point(P,C).
% 1.86/2.07 0 [] -part_of(C1,C)|C1=C|open(C1).
% 1.86/2.07 0 [] -part_of(C1,C)| -part_of(C2,C)| -part_of(C3,C)| -end_point(P,C1)| -end_point(P,C2)| -end_point(P,C3)|part_of(C2,C3)|part_of(C3,C2)|part_of(C1,C2)|part_of(C2,C1)|part_of(C1,C3)|part_of(C3,C1).
% 1.86/2.07 0 [] inner_point($f8(C),C).
% 1.86/2.07 0 [] -inner_point(P,C)|meet(P,$f10(C,P),$f9(C,P)).
% 1.86/2.07 0 [] -inner_point(P,C)|C=sum($f10(C,P),$f9(C,P)).
% 1.86/2.07 0 [] -end_point(P,C)| -end_point(Q,C)| -end_point(R,C)|P=Q|P=R|Q=R.
% 1.86/2.07 0 [] -end_point(P,C)|end_point($f11(C,P),C).
% 1.86/2.07 0 [] -end_point(P,C)|P!=$f11(C,P).
% 1.86/2.07 0 [] -closed(C)| -meet(P,C1,C2)|C!=sum(C1,C2)| -end_point(Q,C1)|meet(Q,C1,C2).
% 1.86/2.07 0 [] -meet(P,C1,C2)|$f12(C1,C2)=sum(C1,C2).
% 1.86/2.07 0 [] incident_c($f13(C,C1),C)|incident_c($f13(C,C1),C1)|C=C1.
% 1.86/2.07 0 [] -incident_c($f13(C,C1),C)| -incident_c($f13(C,C1),C1)|C=C1.
% 1.86/2.07 0 [] -between_c(C,P,Q,R)|P!=R.
% 1.86/2.07 0 [] -between_c(C,P,Q,R)|part_of($f14(C,P,Q,R),C).
% 1.86/2.07 0 [] -between_c(C,P,Q,R)|end_point(P,$f14(C,P,Q,R)).
% 1.86/2.07 0 [] -between_c(C,P,Q,R)|end_point(R,$f14(C,P,Q,R)).
% 1.86/2.07 0 [] -between_c(C,P,Q,R)|inner_point(Q,$f14(C,P,Q,R)).
% 1.86/2.07 0 [] between_c(C,P,Q,R)|P=R| -part_of(Cpp,C)| -end_point(P,Cpp)| -end_point(R,Cpp)| -inner_point(Q,Cpp).
% 1.86/2.07 0 [] -between_o(O,P,Q,R)|ordered_by(O,P,Q)|ordered_by(O,R,Q).
% 1.86/2.07 0 [] -between_o(O,P,Q,R)|ordered_by(O,P,Q)|ordered_by(O,Q,P).
% 1.86/2.07 0 [] -between_o(O,P,Q,R)|ordered_by(O,Q,R)|ordered_by(O,R,Q).
% 1.86/2.07 0 [] -between_o(O,P,Q,R)|ordered_by(O,Q,R)|ordered_by(O,Q,P).
% 1.86/2.07 0 [] between_o(O,P,Q,R)| -ordered_by(O,P,Q)| -ordered_by(O,Q,R).
% 1.86/2.07 0 [] between_o(O,P,Q,R)| -ordered_by(O,R,Q)| -ordered_by(O,Q,P).
% 1.86/2.07 0 [] -start_point(P,O)|incident_o(P,O).
% 1.86/2.07 0 [] -start_point(P,O)|P=Q| -incident_o(Q,O)|ordered_by(O,P,Q).
% 1.86/2.07 0 [] start_point(P,O)| -incident_o(P,O)|P!=$f15(P,O).
% 1.86/2.07 0 [] start_point(P,O)| -incident_o(P,O)|incident_o($f15(P,O),O).
% 1.86/2.07 0 [] start_point(P,O)| -incident_o(P,O)| -ordered_by(O,P,$f15(P,O)).
% 1.86/2.07 0 [] -finish_point(P,O)|incident_o(P,O).
% 1.86/2.07 0 [] -finish_point(P,O)|P=Q| -incident_o(Q,O)|ordered_by(O,Q,P).
% 1.86/2.07 0 [] finish_point(P,O)| -incident_o(P,O)|P!=$f16(P,O).
% 1.86/2.07 0 [] finish_point(P,O)| -incident_o(P,O)|incident_o($f16(P,O),O).
% 1.86/2.07 0 [] finish_point(P,O)| -incident_o(P,O)| -ordered_by(O,$f16(P,O),P).
% 1.86/2.07 0 [] -ordered_by(O,P,Q)|incident_o(P,O).
% 1.86/2.07 0 [] -ordered_by(O,P,Q)|incident_o(Q,O).
% 1.86/2.07 0 [] open($f17(O)).
% 1.86/2.07 0 [] -incident_o(P,O)|incident_c(P,$f17(O)).
% 1.86/2.07 0 [] incident_o(P,O)| -incident_c(P,$f17(O)).
% 1.86/2.07 0 [] -between_o(O,P,Q,R)| -incident_o(X1,O)|incident_c(X1,$f18(P,Q,R,O)).
% 1.86/2.07 0 [] -between_o(O,P,Q,R)|incident_o(X1,O)| -incident_c(X1,$f18(P,Q,R,O)).
% 1.86/2.07 0 [] -between_o(O,P,Q,R)|between_c($f18(P,Q,R,O),P,Q,R).
% 1.86/2.07 0 [] between_o(O,P,Q,R)|incident_o($f19(P,Q,R,O,C),O)|incident_c($f19(P,Q,R,O,C),C)| -between_c(C,P,Q,R).
% 1.86/2.07 0 [] between_o(O,P,Q,R)| -incident_o($f19(P,Q,R,O,C),O)| -incident_c($f19(P,Q,R,O,C),C)| -between_c(C,P,Q,R).
% 1.86/2.07 0 [] start_point($f20(O),O).
% 1.86/2.07 0 [] -open(C)|P=Q| -incident_c(P,C)| -incident_c(Q,C)| -incident_o(R,$f21(P,Q,C))|incident_c(R,C).
% 1.86/2.07 0 [] -open(C)|P=Q| -incident_c(P,C)| -incident_c(Q,C)|incident_o(R,$f21(P,Q,C))| -incident_c(R,C).
% 1.86/2.07 0 [] -open(C)|P=Q| -incident_c(P,C)| -incident_c(Q,C)|ordered_by($f21(P,Q,C),P,Q).
% 1.86/2.07 0 [] ordered_by(O1,$f23(O1,O2),$f22(O1,O2))|ordered_by(O2,$f23(O1,O2),$f22(O1,O2))|O1=O2.
% 1.86/2.07 0 [] -ordered_by(O1,$f23(O1,O2),$f22(O1,O2))| -ordered_by(O2,$f23(O1,O2),$f22(O1,O2))|O1=O2.
% 1.90/2.07 0 [] C!=underlying_curve(O)| -incident_o(P,O)|incident_c(P,C).
% 1.90/2.07 0 [] C!=underlying_curve(O)|incident_o(P,O)| -incident_c(P,C).
% 1.90/2.07 0 [] C=underlying_curve(O)|incident_o($f24(C,O),O)|incident_c($f24(C,O),C).
% 1.90/2.07 0 [] C=underlying_curve(O)| -incident_o($f24(C,O),O)| -incident_c($f24(C,O),C).
% 1.90/2.07 0 [] ordered_by($c5,$c4,$c3).
% 1.90/2.07 0 [] $c4!=$c2.
% 1.90/2.07 0 [] -between($c5,$c2,$c4,$c3).
% 1.90/2.07 0 [] ordered_by($c5,$c2,$c1)|between($c5,$c4,$c2,$c1).
% 1.90/2.07 0 [] -ordered_by($c5,$c2,$c1)| -between($c5,$c4,$c2,$c1).
% 1.90/2.07 end_of_list.
% 1.90/2.07
% 1.90/2.07 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=12.
% 1.90/2.07
% 1.90/2.07 This ia a non-Horn set with equality. The strategy will be
% 1.90/2.07 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.90/2.07 deletion, with positive clauses in sos and nonpositive
% 1.90/2.07 clauses in usable.
% 1.90/2.07
% 1.90/2.07 dependent: set(knuth_bendix).
% 1.90/2.07 dependent: set(anl_eq).
% 1.90/2.07 dependent: set(para_from).
% 1.90/2.07 dependent: set(para_into).
% 1.90/2.07 dependent: clear(para_from_right).
% 1.90/2.07 dependent: clear(para_into_right).
% 1.90/2.07 dependent: set(para_from_vars).
% 1.90/2.07 dependent: set(eq_units_both_ways).
% 1.90/2.07 dependent: set(dynamic_demod_all).
% 1.90/2.07 dependent: set(dynamic_demod).
% 1.90/2.07 dependent: set(order_eq).
% 1.90/2.07 dependent: set(back_demod).
% 1.90/2.07 dependent: set(lrpo).
% 1.90/2.07 dependent: set(hyper_res).
% 1.90/2.07 dependent: set(unit_deletion).
% 1.90/2.07 dependent: set(factor).
% 1.90/2.07
% 1.90/2.07 ------------> process usable:
% 1.90/2.07 ** KEPT (pick-wt=9): 1 [] -part_of(A,B)| -incident_c(C,A)|incident_c(C,B).
% 1.90/2.07 ** KEPT (pick-wt=8): 2 [] part_of(A,B)| -incident_c($f1(B,A),B).
% 1.90/2.07 ** KEPT (pick-wt=14): 3 [] A!=sum(B,C)| -incident_c(D,A)|incident_c(D,B)|incident_c(D,C).
% 1.90/2.07 ** KEPT (pick-wt=11): 4 [] A!=sum(B,C)|incident_c(D,A)| -incident_c(D,B).
% 1.90/2.07 ** KEPT (pick-wt=11): 5 [] A!=sum(B,C)|incident_c(D,A)| -incident_c(D,C).
% 1.90/2.07 ** KEPT (pick-wt=17): 6 [] A=sum(B,C)| -incident_c($f2(A,B,C),A)| -incident_c($f2(A,B,C),B).
% 1.90/2.07 ** KEPT (pick-wt=17): 7 [] A=sum(B,C)| -incident_c($f2(A,B,C),A)| -incident_c($f2(A,B,C),C).
% 1.90/2.07 ** KEPT (pick-wt=6): 8 [] -end_point(A,B)|incident_c(A,B).
% 1.90/2.07 ** KEPT (pick-wt=21): 9 [] -end_point(A,B)| -part_of(C,B)| -part_of(D,B)| -incident_c(A,C)| -incident_c(A,D)|part_of(C,D)|part_of(D,C).
% 1.90/2.07 ** KEPT (pick-wt=11): 10 [] end_point(A,B)| -incident_c(A,B)|part_of($f4(A,B),B).
% 1.90/2.07 ** KEPT (pick-wt=11): 11 [] end_point(A,B)| -incident_c(A,B)|part_of($f3(A,B),B).
% 1.90/2.07 ** KEPT (pick-wt=11): 12 [] end_point(A,B)| -incident_c(A,B)|incident_c(A,$f4(A,B)).
% 1.90/2.07 ** KEPT (pick-wt=11): 13 [] end_point(A,B)| -incident_c(A,B)|incident_c(A,$f3(A,B)).
% 1.90/2.07 ** KEPT (pick-wt=13): 14 [] end_point(A,B)| -incident_c(A,B)| -part_of($f4(A,B),$f3(A,B)).
% 1.90/2.07 ** KEPT (pick-wt=13): 15 [] end_point(A,B)| -incident_c(A,B)| -part_of($f3(A,B),$f4(A,B)).
% 1.90/2.07 ** KEPT (pick-wt=6): 16 [] -inner_point(A,B)|incident_c(A,B).
% 1.90/2.07 ** KEPT (pick-wt=6): 17 [] -inner_point(A,B)| -end_point(A,B).
% 1.90/2.07 ** KEPT (pick-wt=9): 18 [] inner_point(A,B)| -incident_c(A,B)|end_point(A,B).
% 1.90/2.07 ** KEPT (pick-wt=7): 19 [] -meet(A,B,C)|incident_c(A,B).
% 1.90/2.07 ** KEPT (pick-wt=7): 20 [] -meet(A,B,C)|incident_c(A,C).
% 1.90/2.07 ** KEPT (pick-wt=13): 21 [] -meet(A,B,C)| -incident_c(D,B)| -incident_c(D,C)|end_point(D,B).
% 1.90/2.07 ** KEPT (pick-wt=13): 22 [] -meet(A,B,C)| -incident_c(D,B)| -incident_c(D,C)|end_point(D,C).
% 1.90/2.07 ** KEPT (pick-wt=16): 23 [] meet(A,B,C)| -incident_c(A,B)| -incident_c(A,C)|incident_c($f5(A,B,C),B).
% 1.90/2.07 ** KEPT (pick-wt=16): 24 [] meet(A,B,C)| -incident_c(A,B)| -incident_c(A,C)|incident_c($f5(A,B,C),C).
% 1.90/2.07 ** KEPT (pick-wt=22): 25 [] meet(A,B,C)| -incident_c(A,B)| -incident_c(A,C)| -end_point($f5(A,B,C),B)| -end_point($f5(A,B,C),C).
% 1.90/2.07 ** KEPT (pick-wt=5): 26 [] -closed(A)| -end_point(B,A).
% 1.90/2.07 ** KEPT (pick-wt=6): 27 [] -open(A)|end_point($f7(A),A).
% 1.90/2.07 ** KEPT (pick-wt=5): 28 [] open(A)| -end_point(B,A).
% 1.90/2.07 ** KEPT (pick-wt=8): 29 [] -part_of(A,B)|A=B|open(A).
% 1.90/2.07 ** KEPT (pick-wt=36): 30 [] -part_of(A,B)| -part_of(C,B)| -part_of(D,B)| -end_point(E,A)| -end_point(E,C)| -end_point(E,D)|part_of(C,D)|part_of(D,C)|part_of(A,C)|part_of(C,A)|part_of(A,D)|part_of(D,A).
% 1.90/2.07 ** KEPT (pick-wt=11): 31 [] -inner_point(A,B)|meet(A,$f10(B,A),$f9(B,A)).
% 1.90/2.07 ** KEPT (pick-wt=12): 33 [copy,32,flip.2] -inner_point(A,B)|sum($f10(B,A),$f9(B,A))=B.
% 1.90/2.07 ** KEPT (pick-wt=18): 34 [] -end_point(A,B)| -end_point(C,B)| -end_point(D,B)|A=C|A=D|C=D.
% 1.90/2.07 ** KEPT (pick-wt=8): 35 [] -end_point(A,B)|end_point($f11(B,A),B).
% 1.90/2.07 ** KEPT (pick-wt=8): 37 [copy,36,flip.2] -end_point(A,B)|$f11(B,A)!=A.
% 1.90/2.07 ** KEPT (pick-wt=18): 38 [] -closed(A)| -meet(B,C,D)|A!=sum(C,D)| -end_point(E,C)|meet(E,C,D).
% 1.90/2.07 ** KEPT (pick-wt=11): 40 [copy,39,flip.2] -meet(A,B,C)|sum(B,C)=$f12(B,C).
% 1.90/2.07 ** KEPT (pick-wt=13): 41 [] -incident_c($f13(A,B),A)| -incident_c($f13(A,B),B)|A=B.
% 1.90/2.07 ** KEPT (pick-wt=8): 42 [] -between_c(A,B,C,D)|B!=D.
% 1.90/2.07 ** KEPT (pick-wt=12): 43 [] -between_c(A,B,C,D)|part_of($f14(A,B,C,D),A).
% 1.90/2.07 ** KEPT (pick-wt=12): 44 [] -between_c(A,B,C,D)|end_point(B,$f14(A,B,C,D)).
% 1.90/2.07 ** KEPT (pick-wt=12): 45 [] -between_c(A,B,C,D)|end_point(D,$f14(A,B,C,D)).
% 1.90/2.07 ** KEPT (pick-wt=12): 46 [] -between_c(A,B,C,D)|inner_point(C,$f14(A,B,C,D)).
% 1.90/2.07 ** KEPT (pick-wt=20): 47 [] between_c(A,B,C,D)|B=D| -part_of(E,A)| -end_point(B,E)| -end_point(D,E)| -inner_point(C,E).
% 1.90/2.07 ** KEPT (pick-wt=13): 48 [] -between_o(A,B,C,D)|ordered_by(A,B,C)|ordered_by(A,D,C).
% 1.90/2.07 ** KEPT (pick-wt=13): 49 [] -between_o(A,B,C,D)|ordered_by(A,B,C)|ordered_by(A,C,B).
% 1.90/2.07 ** KEPT (pick-wt=13): 50 [] -between_o(A,B,C,D)|ordered_by(A,C,D)|ordered_by(A,D,C).
% 1.90/2.07 ** KEPT (pick-wt=13): 51 [] -between_o(A,B,C,D)|ordered_by(A,C,D)|ordered_by(A,C,B).
% 1.90/2.07 ** KEPT (pick-wt=13): 52 [] between_o(A,B,C,D)| -ordered_by(A,B,C)| -ordered_by(A,C,D).
% 1.90/2.07 ** KEPT (pick-wt=13): 53 [] between_o(A,B,C,D)| -ordered_by(A,D,C)| -ordered_by(A,C,B).
% 1.90/2.07 ** KEPT (pick-wt=6): 54 [] -start_point(A,B)|incident_o(A,B).
% 1.90/2.07 ** KEPT (pick-wt=13): 55 [] -start_point(A,B)|A=C| -incident_o(C,B)|ordered_by(B,A,C).
% 1.90/2.07 ** KEPT (pick-wt=11): 57 [copy,56,flip.3] start_point(A,B)| -incident_o(A,B)|$f15(A,B)!=A.
% 1.90/2.07 ** KEPT (pick-wt=11): 58 [] start_point(A,B)| -incident_o(A,B)|incident_o($f15(A,B),B).
% 1.90/2.07 ** KEPT (pick-wt=12): 59 [] start_point(A,B)| -incident_o(A,B)| -ordered_by(B,A,$f15(A,B)).
% 1.90/2.07 ** KEPT (pick-wt=6): 60 [] -finish_point(A,B)|incident_o(A,B).
% 1.90/2.07 ** KEPT (pick-wt=13): 61 [] -finish_point(A,B)|A=C| -incident_o(C,B)|ordered_by(B,C,A).
% 1.90/2.07 ** KEPT (pick-wt=11): 63 [copy,62,flip.3] finish_point(A,B)| -incident_o(A,B)|$f16(A,B)!=A.
% 1.90/2.07 ** KEPT (pick-wt=11): 64 [] finish_point(A,B)| -incident_o(A,B)|incident_o($f16(A,B),B).
% 1.90/2.07 ** KEPT (pick-wt=12): 65 [] finish_point(A,B)| -incident_o(A,B)| -ordered_by(B,$f16(A,B),A).
% 1.90/2.07 ** KEPT (pick-wt=7): 66 [] -ordered_by(A,B,C)|incident_o(B,A).
% 1.90/2.07 ** KEPT (pick-wt=7): 67 [] -ordered_by(A,B,C)|incident_o(C,A).
% 1.90/2.07 ** KEPT (pick-wt=7): 68 [] -incident_o(A,B)|incident_c(A,$f17(B)).
% 1.90/2.07 ** KEPT (pick-wt=7): 69 [] incident_o(A,B)| -incident_c(A,$f17(B)).
% 1.90/2.07 ** KEPT (pick-wt=15): 70 [] -between_o(A,B,C,D)| -incident_o(E,A)|incident_c(E,$f18(B,C,D,A)).
% 1.90/2.07 ** KEPT (pick-wt=15): 71 [] -between_o(A,B,C,D)|incident_o(E,A)| -incident_c(E,$f18(B,C,D,A)).
% 1.90/2.07 ** KEPT (pick-wt=14): 72 [] -between_o(A,B,C,D)|between_c($f18(B,C,D,A),B,C,D).
% 1.90/2.07 ** KEPT (pick-wt=26): 73 [] between_o(A,B,C,D)|incident_o($f19(B,C,D,A,E),A)|incident_c($f19(B,C,D,A,E),E)| -between_c(E,B,C,D).
% 1.90/2.07 ** KEPT (pick-wt=26): 74 [] between_o(A,B,C,D)| -incident_o($f19(B,C,D,A,E),A)| -incident_c($f19(B,C,D,A,E),E)| -between_c(E,B,C,D).
% 1.90/2.07 ** KEPT (pick-wt=20): 75 [] -open(A)|B=C| -incident_c(B,A)| -incident_c(C,A)| -incident_o(D,$f21(B,C,A))|incident_c(D,A).
% 1.90/2.07 ** KEPT (pick-wt=20): 76 [] -open(A)|B=C| -incident_c(B,A)| -incident_c(C,A)|incident_o(D,$f21(B,C,A))| -incident_c(D,A).
% 1.90/2.07 ** KEPT (pick-wt=18): 77 [] -open(A)|B=C| -incident_c(B,A)| -incident_c(C,A)|ordered_by($f21(B,C,A),B,C).
% 1.90/2.07 ** KEPT (pick-wt=19): 78 [] -ordered_by(A,$f23(A,B),$f22(A,B))| -ordered_by(B,$f23(A,B),$f22(A,B))|A=B.
% 1.90/2.07 ** KEPT (pick-wt=10): 79 [] A!=underlying_curve(B)| -incident_o(C,B)|incident_c(C,A).
% 1.90/2.07 ** KEPT (pick-wt=10): 80 [] A!=underlying_curve(B)|incident_o(C,B)| -incident_c(C,A).
% 1.90/2.07 ** KEPT (pick-wt=14): 81 [] A=underlying_curve(B)| -incident_o($f24(A,B),B)| -incident_c($f24(A,B),A).
% 1.90/2.07 ** KEPT (pick-wt=3): 82 [] $c4!=$c2.
% 1.90/2.07 ** KEPT (pick-wt=5): 83 [] -between($c5,$c2,$c4,$c3).
% 1.90/2.07 ** KEPT (pick-wt=9): 84 [] -ordered_by($c5,$c2,$c1)| -between($c5,$c4,$c2,$c1).
% 1.90/2.07
% 1.90/2.07 ------------> process sos:
% 1.90/2.07 ** KEPT (pick-wt=3): 107 [] A=A.
% 1.90/2.07 ** KEPT (pick-wt=8): 108 [] part_of(A,B)|incident_c($f1(B,A),A).
% 1.90/2.07 ** KEPT (picAlarm clock
% 299.87/300.03 Otter interrupted
% 299.87/300.03 PROOF NOT FOUND
%------------------------------------------------------------------------------