TSTP Solution File: GEO634+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO634+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 06:21:15 EDT 2022
% Result : Theorem 104.21s 104.45s
% Output : Refutation 104.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO634+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n025.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 : 600
% 0.12/0.33 % DateTime : Sat Jun 18 05:58:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.37 ----- Otter 3.2, August 2001 -----
% 0.12/0.37 The process was started by sandbox2 on n025.cluster.edu,
% 0.12/0.37 Sat Jun 18 05:58:13 2022
% 0.12/0.37 The command was "./sos". The process ID is 28788.
% 0.12/0.37
% 0.12/0.37 set(prolog_style_variables).
% 0.12/0.37 set(auto).
% 0.12/0.37 dependent: set(auto1).
% 0.12/0.37 dependent: set(process_input).
% 0.12/0.37 dependent: clear(print_kept).
% 0.12/0.37 dependent: clear(print_new_demod).
% 0.12/0.37 dependent: clear(print_back_demod).
% 0.12/0.37 dependent: clear(print_back_sub).
% 0.12/0.37 dependent: set(control_memory).
% 0.12/0.37 dependent: assign(max_mem, 12000).
% 0.12/0.37 dependent: assign(pick_given_ratio, 4).
% 0.12/0.37 dependent: assign(stats_level, 1).
% 0.12/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.37 dependent: assign(sos_limit, 5000).
% 0.12/0.37 dependent: assign(max_weight, 60).
% 0.12/0.37 clear(print_given).
% 0.12/0.37
% 0.12/0.37 formula_list(usable).
% 0.12/0.37
% 0.12/0.37 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.12/0.37
% 0.12/0.37 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.37 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.37 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.37 clauses in usable.
% 0.12/0.37
% 0.12/0.37 dependent: set(knuth_bendix).
% 0.12/0.37 dependent: set(para_from).
% 0.12/0.37 dependent: set(para_into).
% 0.12/0.37 dependent: clear(para_from_right).
% 0.12/0.37 dependent: clear(para_into_right).
% 0.12/0.37 dependent: set(para_from_vars).
% 0.12/0.37 dependent: set(eq_units_both_ways).
% 0.12/0.37 dependent: set(dynamic_demod_all).
% 0.12/0.37 dependent: set(dynamic_demod).
% 0.12/0.37 dependent: set(order_eq).
% 0.12/0.37 dependent: set(back_demod).
% 0.12/0.37 dependent: set(lrpo).
% 0.12/0.37 dependent: set(hyper_res).
% 0.12/0.37 dependent: set(unit_deletion).
% 0.12/0.37 dependent: set(factor).
% 0.12/0.37
% 0.12/0.37 ------------> process usable:
% 0.12/0.37 Following clause subsumed by 72 during input processing: 0 [] {-} -eqangle(A,B,C,D,C,D,A,B)|perp(A,B,C,D)|para(A,B,C,D).
% 0.12/0.37
% 0.12/0.37 ------------> process sos:
% 0.12/0.37 Following clause subsumed by 171 during input processing: 0 [copy,171,flip.1] {-} A=A.
% 0.12/0.37 171 back subsumes 146.
% 0.12/0.37 171 back subsumes 145.
% 0.12/0.37 171 back subsumes 144.
% 0.12/0.37 171 back subsumes 143.
% 0.12/0.37
% 0.12/0.37 ======= end of input processing =======
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 Failed to model usable list: disabling FINDER
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 -------------- Softie stats --------------
% 0.19/0.44
% 0.19/0.44 UPDATE_STOP: 300
% 0.19/0.44 SFINDER_TIME_LIMIT: 2
% 0.19/0.44 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.44 number of clauses in intial UL: 154
% 0.19/0.44 number of clauses initially in problem: 167
% 0.19/0.44 percentage of clauses intially in UL: 92
% 0.19/0.44 percentage of distinct symbols occuring in initial UL: 81
% 0.19/0.44 percent of all initial clauses that are short: 100
% 0.19/0.44 absolute distinct symbol count: 44
% 0.19/0.44 distinct predicate count: 12
% 0.19/0.44 distinct function count: 20
% 0.19/0.44 distinct constant count: 12
% 0.19/0.44
% 0.19/0.44 ---------- no more Softie stats ----------
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 =========== start of search ===========
% 6.61/6.83
% 6.61/6.83
% 6.61/6.83 Changing weight limit from 60 to 57.
% 6.61/6.83
% 6.61/6.83 Resetting weight limit to 57 after 240 givens.
% 6.61/6.83
% 7.08/7.29
% 7.08/7.29
% 7.08/7.29 Changing weight limit from 57 to 56.
% 7.08/7.29
% 7.08/7.29 Resetting weight limit to 56 after 245 givens.
% 7.08/7.29
% 8.94/9.14
% 8.94/9.14
% 8.94/9.14 Changing weight limit from 56 to 55.
% 8.94/9.14
% 8.94/9.14 Resetting weight limit to 55 after 260 givens.
% 8.94/9.14
% 10.53/10.76
% 10.53/10.76
% 10.53/10.76 Changing weight limit from 55 to 54.
% 10.53/10.76
% 10.53/10.76 Resetting weight limit to 54 after 280 givens.
% 10.53/10.76
% 11.15/11.39
% 11.15/11.39
% 11.15/11.39 Changing weight limit from 54 to 52.
% 11.15/11.39
% 11.15/11.39 Resetting weight limit to 52 after 290 givens.
% 11.15/11.39
% 12.18/12.38
% 12.18/12.38
% 12.18/12.38 Changing weight limit from 52 to 51.
% 12.18/12.38
% 12.18/12.38 Modelling stopped after 300 given clauses and 0.00 seconds
% 12.18/12.38
% 12.18/12.38
% 12.18/12.38 Resetting weight limit to 51 after 300 givens.
% 12.18/12.38
% 15.09/15.30
% 15.09/15.30
% 15.09/15.30 Changing weight limit from 51 to 50.
% 15.09/15.30
% 15.09/15.30 Resetting weight limit to 50 after 340 givens.
% 15.09/15.30
% 17.42/17.68
% 17.42/17.68
% 17.42/17.68 Changing weight limit from 50 to 49.
% 17.42/17.68
% 17.42/17.68 Resetting weight limit to 49 after 390 givens.
% 17.42/17.68
% 18.25/18.45
% 18.25/18.45
% 18.25/18.45 Changing weight limit from 49 to 47.
% 18.25/18.45
% 18.25/18.45 Resetting weight limit to 47 after 405 givens.
% 18.25/18.45
% 18.46/18.67
% 18.46/18.67
% 18.46/18.67 Changing weight limit from 47 to 46.
% 18.46/18.67
% 18.46/18.67 Resetting weight limit to 46 after 410 givens.
% 18.46/18.67
% 19.14/19.36
% 19.14/19.36
% 19.14/19.36 Changing weight limit from 46 to 45.
% 19.14/19.36
% 19.14/19.36 Resetting weight limit to 45 after 425 givens.
% 19.14/19.36
% 19.61/19.82
% 19.61/19.82
% 19.61/19.82 Changing weight limit from 45 to 44.
% 19.61/19.82
% 19.61/19.82 Resetting weight limit to 44 after 435 givens.
% 19.61/19.82
% 19.82/20.02
% 19.82/20.02
% 19.82/20.02 Changing weight limit from 44 to 37.
% 19.82/20.02
% 19.82/20.02 Resetting weight limit to 37 after 440 givens.
% 19.82/20.02
% 20.02/20.28
% 20.02/20.28
% 20.02/20.28 Changing weight limit from 37 to 36.
% 20.02/20.28
% 20.02/20.28 Resetting weight limit to 36 after 445 givens.
% 20.02/20.28
% 20.21/20.44
% 20.21/20.44
% 20.21/20.44 Changing weight limit from 36 to 35.
% 20.21/20.44
% 20.21/20.44 Resetting weight limit to 35 after 450 givens.
% 20.21/20.44
% 20.58/20.85
% 20.58/20.85
% 20.58/20.85 Changing weight limit from 35 to 34.
% 20.58/20.85
% 20.58/20.85 Resetting weight limit to 34 after 460 givens.
% 20.58/20.85
% 20.82/21.07
% 20.82/21.07
% 20.82/21.07 Changing weight limit from 34 to 31.
% 20.82/21.07
% 20.82/21.07 Resetting weight limit to 31 after 465 givens.
% 20.82/21.07
% 21.01/21.22
% 21.01/21.22
% 21.01/21.22 Changing weight limit from 31 to 30.
% 21.01/21.22
% 21.01/21.22 Resetting weight limit to 30 after 470 givens.
% 21.01/21.22
% 28.14/28.38
% 28.14/28.38
% 28.14/28.38 Changing weight limit from 30 to 29.
% 28.14/28.38
% 28.14/28.38 Resetting weight limit to 29 after 790 givens.
% 28.14/28.38
% 29.63/29.86
% 29.63/29.86
% 29.63/29.86 Changing weight limit from 29 to 11.
% 29.63/29.86
% 29.63/29.86 Resetting weight limit to 11 after 1000 givens.
% 29.63/29.86
% 29.63/29.88
% 29.63/29.88
% 29.63/29.88 Changing weight limit from 11 to 10.
% 29.63/29.88
% 29.63/29.88 Resetting weight limit to 10 after 1005 givens.
% 29.63/29.88
% 31.54/31.77
% 31.54/31.77
% 31.54/31.77 Changing weight limit from 10 to 9.
% 31.54/31.77
% 31.54/31.77 Resetting weight limit to 9 after 1745 givens.
% 31.54/31.77
% 41.95/42.16
% 41.95/42.16
% 41.95/42.16 Changing weight limit from 9 to 8.
% 41.95/42.16
% 41.95/42.16 Resetting weight limit to 8 after 5705 givens.
% 41.95/42.16
% 47.47/47.68
% 47.47/47.68
% 47.47/47.68 Changing weight limit from 8 to 7.
% 47.47/47.68
% 47.47/47.68 Resetting weight limit to 7 after 6660 givens.
% 47.47/47.68
% 47.47/47.77
% 47.47/47.77
% 47.47/47.77 Changing weight limit from 7 to 5.
% 47.47/47.77
% 47.47/47.77 Resetting weight limit to 5 after 6665 givens.
% 47.47/47.77
% 76.16/76.42
% 76.16/76.42
% 76.16/76.42 Changing weight limit from 5 to 6.
% 76.16/76.42
% 76.16/76.42 Resetting weight limit to 6 after 18370 givens.
% 76.16/76.42
% 76.16/76.43
% 76.16/76.43
% 76.16/76.43 Changing weight limit from 6 to 7.
% 76.16/76.43
% 76.16/76.43 Resetting weight limit to 7 after 18375 givens.
% 76.16/76.43
% 76.16/76.43
% 76.16/76.43
% 76.16/76.43 Changing weight limit from 7 to 8.
% 76.16/76.43
% 76.16/76.43 Resetting weight limit to 8 after 18380 givens.
% 76.16/76.43
% 76.16/76.44
% 76.16/76.44
% 76.16/76.44 Changing weight limit from 8 to 9.
% 76.16/76.44
% 76.16/76.44 Resetting weight limit to 9 after 18385 givens.
% 76.16/76.44
% 76.16/76.44
% 76.16/76.44
% 76.16/76.44 Changing weight limit from 9 to 10.
% 76.16/76.44
% 76.16/76.44 Resetting weight limit to 10 after 18390 givens.
% 76.16/76.44
% 76.16/76.44
% 76.16/76.44
% 76.16/76.44 Changing weight limit from 10 to 11.
% 76.16/76.44
% 76.16/76.44 Resetting weight limit to 11 after 18395 givens.
% 76.16/76.44
% 76.16/76.45
% 76.16/76.45
% 76.16/76.45 Changing weight limit from 11 to 12.
% 76.16/76.45
% 76.16/76.45 Resetting weight limit to 12 after 18400 givens.
% 76.16/76.45
% 76.44/76.68
% 76.44/76.68
% 76.44/76.68 Changing weight limit from 12 to 10.
% 76.44/76.68
% 76.44/76.68 Resetting weight limit to 10 after 18560 givens.
% 76.44/76.68
% 77.80/78.02
% 77.80/78.02
% 77.80/78.02 Changing weight limit from 10 to 9.
% 77.80/78.02
% 77.80/78.02 Resetting weight limit to 9 after 19405 givens.
% 77.80/78.02
% 83.33/83.55
% 83.33/83.55
% 83.33/83.55 Changing weight limit from 9 to 8.
% 83.33/83.55
% 83.33/83.55 Resetting weight limit to 8 after 21985 givens.
% 83.33/83.55
% 104.21/104.45
% 104.21/104.45 -- HEY sandbox2, WE HAVE A PROOF!! --
% 104.21/104.45
% 104.21/104.45 ----> UNIT CONFLICT at 101.04 sec ----> 239501 [binary,239500.1,113.1] {-} $F.
% 104.21/104.45
% 104.21/104.45 Length of proof is 152. Level of proof is 17.
% 104.21/104.45
% 104.21/104.45 ---------------- PROOF ----------------
% 104.21/104.45 % SZS status Theorem
% 104.21/104.45 % SZS output start Refutation
% 104.21/104.45
% 104.21/104.45 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 104.21/104.45 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 104.21/104.45 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 104.21/104.45 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 104.21/104.45 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 104.21/104.45 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 104.21/104.45 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 104.21/104.45 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 104.21/104.45 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 104.21/104.45 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 104.21/104.45 13 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)| -cong(A,B,A,E)|cyclic(B,C,D,E).
% 104.21/104.45 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 104.21/104.45 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 104.21/104.45 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 104.21/104.45 18 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(B,A,C,D,E,F,G,H).
% 104.21/104.45 20 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(E,F,G,H,A,B,C,D).
% 104.21/104.45 22 [] {+} -eqangle(A,B,C,D,E,F,G,H)| -eqangle(E,F,G,H,I,J,K,L)|eqangle(A,B,C,D,I,J,K,L).
% 104.21/104.45 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 104.21/104.45 39 [] {+} -eqangle(A,B,C,D,E,F,C,D)|para(A,B,E,F).
% 104.21/104.45 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 104.21/104.45 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 104.21/104.45 44 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -cyclic(A,B,C,F)| -eqangle(C,A,C,B,F,D,F,E)|cong(A,B,D,E).
% 104.21/104.45 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 104.21/104.45 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 104.21/104.45 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 104.21/104.45 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 104.21/104.45 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 104.21/104.45 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 104.21/104.45 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 104.21/104.45 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 104.21/104.45 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 104.21/104.45 70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 104.21/104.45 99 [] {+} -circle(A,B,C,D)|perp($f12(B,C,D,A),B,B,A).
% 104.21/104.45 113 [] {+} -perp($c4,$c3,$c7,$c12).
% 104.21/104.45 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 104.21/104.45 117 [factor,13.1.2] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,C,D).
% 104.21/104.45 118 [factor,13.1.3] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,D,C).
% 104.21/104.45 119 [factor,13.2.3] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,D,D).
% 104.21/104.45 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 104.21/104.45 121 [factor,44.1.2] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,D)|cong(A,B,D,D).
% 104.21/104.45 122 [factor,44.1.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,D,D,D,E)|cong(A,B,D,E).
% 104.21/104.45 124 [factor,45.1.2] {+} -midp(A,B,C)|para(A,A,C,C).
% 104.21/104.45 125 [factor,57.1.2] {+} -cong(A,B,C,B)|perp(A,C,B,B).
% 104.21/104.45 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 104.21/104.45 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 104.21/104.45 154 [factor,117.1.2] {+} -cong(A,B,A,C)|cyclic(B,C,C,C).
% 104.21/104.45 155 [factor,121.1.2] {+} -cyclic(A,B,C,D)| -eqangle(C,A,C,B,D,D,D,D)|cong(A,B,D,D).
% 104.21/104.45 159 [] {-} circle($c9,$c12,$c11,$c10).
% 104.21/104.45 160 [] {-} midp($c8,$c10,$c11).
% 104.21/104.45 162 [] {-} coll($c7,$c12,$c8).
% 104.21/104.45 163 [] {-} eqangle($c6,$c12,$c12,$c11,$c10,$c12,$c12,$c8).
% 104.21/104.45 165 [] {-} coll($c5,$c11,$c10).
% 104.21/104.45 166 [] {-} coll($c5,$c12,$c6).
% 104.21/104.45 167 [] {-} perp($c4,$c6,$c11,$c10).
% 104.21/104.45 168 [] {-} coll($c4,$c11,$c10).
% 104.21/104.45 169 [] {-} perp($c3,$c6,$c12,$c11).
% 104.21/104.45 170 [] {-} coll($c3,$c12,$c11).
% 104.21/104.45 172 [hyper,159,99] {-} perp($f12($c12,$c11,$c10,$c9),$c12,$c12,$c9).
% 104.21/104.45 193 [hyper,160,128] {-} para($c10,$c10,$c11,$c11).
% 104.21/104.45 195 [hyper,160,70] {-} coll($c8,$c10,$c11).
% 104.21/104.45 196 [hyper,160,69] {-} cong($c8,$c10,$c8,$c11).
% 104.21/104.45 197 [hyper,160,11] {-} midp($c8,$c11,$c10).
% 104.21/104.45 210 [hyper,162,114] {-} coll($c8,$c8,$c7).
% 104.21/104.45 211 [hyper,162,2] {-} coll($c12,$c7,$c8).
% 104.21/104.45 212 [hyper,162,1] {-} coll($c7,$c8,$c12).
% 104.21/104.45 225 [hyper,165,114] {-} coll($c10,$c10,$c5).
% 104.21/104.45 226 [hyper,165,2] {-} coll($c11,$c5,$c10).
% 104.21/104.45 227 [hyper,165,1] {-} coll($c5,$c10,$c11).
% 104.21/104.45 257 [hyper,166,114] {-} coll($c6,$c6,$c5).
% 104.21/104.45 258 [hyper,166,2] {-} coll($c12,$c5,$c6).
% 104.21/104.45 272 [hyper,168,114] {-} coll($c10,$c10,$c4).
% 104.21/104.45 274 [hyper,168,1] {-} coll($c4,$c10,$c11).
% 104.21/104.45 287 [hyper,170,114] {-} coll($c11,$c11,$c3).
% 104.21/104.45 288 [hyper,170,2] {-} coll($c12,$c3,$c11).
% 104.21/104.45 302 [hyper,195,114] {-} coll($c11,$c11,$c8).
% 104.21/104.45 303 [hyper,195,2] {-} coll($c10,$c8,$c11).
% 104.21/104.45 304 [hyper,195,1] {-} coll($c8,$c11,$c10).
% 104.21/104.45 318 [hyper,163,20] {-} eqangle($c10,$c12,$c12,$c8,$c6,$c12,$c12,$c11).
% 104.21/104.45 320 [hyper,163,18] {-} eqangle($c12,$c6,$c12,$c11,$c10,$c12,$c12,$c8).
% 104.21/104.45 357 [hyper,197,128] {-} para($c11,$c11,$c10,$c10).
% 104.21/104.45 358 [hyper,197,124] {-} para($c8,$c8,$c10,$c10).
% 104.21/104.45 367 [hyper,197,69] {-} cong($c8,$c11,$c8,$c10).
% 104.21/104.45 397 [hyper,211,114] {-} coll($c8,$c8,$c12).
% 104.21/104.45 411 [hyper,212,114] {-} coll($c12,$c12,$c7).
% 104.21/104.45 443 [hyper,225,1] {-} coll($c10,$c5,$c10).
% 104.21/104.45 457 [hyper,226,1] {-} coll($c11,$c10,$c5).
% 104.21/104.45 470 [hyper,227,114] {-} coll($c11,$c11,$c5).
% 104.21/104.45 484 [hyper,257,114] {-} coll($c5,$c5,$c6).
% 104.21/104.45 498 [hyper,167,8] {-} perp($c11,$c10,$c4,$c6).
% 104.21/104.45 516 [hyper,258,114] {-} coll($c6,$c6,$c12).
% 104.21/104.45 546 [hyper,272,3,225] {-} coll($c4,$c5,$c10).
% 104.21/104.45 573 [hyper,169,8] {-} perp($c12,$c11,$c3,$c6).
% 104.21/104.45 574 [hyper,169,7] {-} perp($c3,$c6,$c11,$c12).
% 104.21/104.45 606 [hyper,287,1] {-} coll($c11,$c3,$c11).
% 104.21/104.45 619 [hyper,288,114] {-} coll($c11,$c11,$c12).
% 104.21/104.45 647 [hyper,172,8] {-} perp($c12,$c9,$f12($c12,$c11,$c10,$c9),$c12).
% 104.21/104.45 681 [hyper,302,114] {-} coll($c8,$c8,$c11).
% 104.21/104.45 684 [hyper,302,1] {-} coll($c11,$c8,$c11).
% 104.21/104.45 697 [hyper,303,114] {-} coll($c11,$c11,$c10).
% 104.21/104.45 711 [hyper,304,114] {-} coll($c10,$c10,$c8).
% 104.21/104.45 852 [hyper,397,114] {-} coll($c12,$c12,$c8).
% 104.21/104.45 880 [hyper,411,1] {-} coll($c12,$c7,$c12).
% 104.21/104.45 1019 [hyper,443,114] {-} coll($c10,$c10,$c10).
% 104.21/104.45 1146 [hyper,457,114] {-} coll($c5,$c5,$c11).
% 104.21/104.45 1161 [hyper,470,3,287] {-} coll($c3,$c5,$c11).
% 104.21/104.45 1481 [hyper,546,1] {-} coll($c4,$c10,$c5).
% 104.21/104.45 1726 [hyper,606,2] {-} coll($c3,$c11,$c11).
% 104.21/104.45 1739 [hyper,619,114] {-} coll($c12,$c12,$c11).
% 104.21/104.45 1883 [hyper,681,3,397] {-} coll($c12,$c11,$c8).
% 104.21/104.45 1884 [hyper,681,3,210] {-} coll($c7,$c11,$c8).
% 104.21/104.45 1986 [hyper,684,2] {-} coll($c8,$c11,$c11).
% 104.21/104.45 1999 [hyper,697,3,619] {-} coll($c12,$c10,$c11).
% 104.21/104.45 2001 [hyper,697,3,619] {-} coll($c10,$c12,$c11).
% 104.21/104.45 2334 [hyper,880,114] {-} coll($c12,$c12,$c12).
% 104.21/104.45 2417 [hyper,1019,3,711] {-} coll($c8,$c10,$c10).
% 104.21/104.45 2457 [hyper,1146,3,484] {-} coll($c11,$c6,$c5).
% 104.21/104.45 2535 [hyper,1161,1] {-} coll($c3,$c11,$c5).
% 104.21/104.45 3038 [hyper,1481,3,274] {-} coll($c11,$c5,$c4).
% 104.21/104.45 3386 [hyper,1739,3,852] {-} coll($c8,$c11,$c12).
% 104.21/104.45 3933 [hyper,1884,1] {-} coll($c7,$c8,$c11).
% 104.21/104.45 4154 [hyper,1999,1] {-} coll($c12,$c11,$c10).
% 104.21/104.45 4189 [hyper,2001,1] {-} coll($c10,$c11,$c12).
% 104.21/104.45 4992 [hyper,2457,1] {-} coll($c11,$c5,$c6).
% 104.21/104.45 5027 [hyper,2535,3,1726] {-} coll($c11,$c5,$c3).
% 104.21/104.45 6545 [hyper,3933,114] {-} coll($c11,$c11,$c7).
% 104.21/104.45 6791 [hyper,4154,3,1883] {-} coll($c8,$c10,$c12).
% 104.21/104.45 6835 [hyper,4189,114] {-} coll($c12,$c12,$c10).
% 104.21/104.45 7075 [hyper,4992,3,3038] {-} coll($c4,$c6,$c11).
% 104.21/104.45 7236 [hyper,5027,3,4992] {-} coll($c3,$c6,$c11).
% 104.21/104.45 10528 [hyper,320,22,318] {-} eqangle($c12,$c6,$c12,$c11,$c6,$c12,$c12,$c11).
% 104.21/104.45 10993 [hyper,357,6,193] {-} para($c10,$c10,$c10,$c10).
% 104.21/104.45 10994 [hyper,357,6,193] {-} para($c11,$c11,$c11,$c11).
% 104.21/104.45 11801 [hyper,367,154] {-} cyclic($c11,$c10,$c10,$c10).
% 104.21/104.45 11804 [hyper,367,25,196] {-} cong($c8,$c10,$c8,$c10).
% 104.21/104.45 11805 [hyper,367,25,196] {-} cong($c8,$c11,$c8,$c11).
% 104.21/104.45 13299 [hyper,498,7] {-} perp($c11,$c10,$c6,$c4).
% 104.21/104.45 13302 [hyper,573,7] {-} perp($c12,$c11,$c6,$c3).
% 104.21/104.45 13304 [hyper,574,8] {-} perp($c11,$c12,$c3,$c6).
% 104.21/104.45 13661 [hyper,10993,40] {-} eqangle($c10,$c10,A,B,$c10,$c10,A,B).
% 104.21/104.45 13833 [hyper,10994,40] {-} eqangle($c11,$c11,A,B,$c11,$c11,A,B).
% 104.21/104.45 14008 [hyper,11801,120] {-} cyclic($c10,$c10,$c10,$c10).
% 104.21/104.45 14014 [hyper,11804,125] {-} perp($c8,$c8,$c10,$c10).
% 104.21/104.45 14021 [hyper,11804,68,2417] {-} midp($c8,$c10,$c10).
% 104.21/104.45 14098 [hyper,14021,45,160] {-} para($c8,$c8,$c11,$c10).
% 104.21/104.45 14115 [hyper,11805,68,1986] {-} midp($c8,$c11,$c11).
% 104.21/104.45 14117 [hyper,11805,57,11804] {-} perp($c8,$c8,$c11,$c10).
% 104.21/104.45 15076 [hyper,13302,8] {-} perp($c6,$c3,$c12,$c11).
% 104.21/104.45 15250 [hyper,13304,9,574] {-} para($c11,$c12,$c11,$c12).
% 104.21/104.45 15774 [hyper,14014,8] {-} perp($c10,$c10,$c8,$c8).
% 104.21/104.45 16684 [hyper,14098,10,13299] {-} perp($c8,$c8,$c6,$c4).
% 104.21/104.45 16886 [hyper,14117,8] {-} perp($c11,$c10,$c8,$c8).
% 104.21/104.45 17602 [hyper,647,9,172] {-} para($c12,$c9,$c12,$c9).
% 104.21/104.45 18132 [hyper,15250,129,14115] {-} midp($c8,$c12,$c12).
% 104.21/104.45 18327 [hyper,18132,69] {-} cong($c8,$c12,$c8,$c12).
% 104.21/104.45 18328 [hyper,18132,64,14021] {-} para($c10,$c12,$c10,$c12).
% 104.21/104.45 18915 [hyper,15774,10,358] {-} perp($c8,$c8,$c8,$c8).
% 104.21/104.45 19646 [hyper,16684,8] {-} perp($c6,$c4,$c8,$c8).
% 104.21/104.45 20523 [hyper,17602,67] {-} coll($c12,$c9,$c9).
% 104.21/104.45 20568 [hyper,20523,114] {-} coll($c9,$c9,$c12).
% 104.21/104.45 20575 [hyper,20568,114] {-} coll($c12,$c12,$c9).
% 104.21/104.45 20599 [hyper,20575,3,6835] {-} coll($c9,$c10,$c12).
% 104.21/104.45 20659 [hyper,20599,1] {-} coll($c9,$c12,$c10).
% 104.21/104.45 21219 [hyper,20659,54,159] {-} perp($c12,$c11,$c11,$c10).
% 104.21/104.45 25324 [hyper,18327,57,11805] {-} perp($c8,$c8,$c11,$c12).
% 104.21/104.45 25326 [hyper,18327,57,11805] {-} perp($c8,$c8,$c12,$c11).
% 104.21/104.45 32630 [hyper,21219,9,15076] {-} para($c6,$c3,$c11,$c10).
% 104.21/104.45 34367 [hyper,25324,9,18915] {-} para($c8,$c8,$c11,$c12).
% 104.21/104.45 34397 [hyper,25326,9,19646] {-} para($c6,$c4,$c12,$c11).
% 104.21/104.45 34400 [hyper,25326,9,16886] {-} para($c11,$c10,$c12,$c11).
% 104.21/104.45 44190 [hyper,34367,46,14115,3386] {-} midp($c8,$c11,$c12).
% 104.21/104.45 44191 [hyper,34367,46,160,6791] {-} midp($c8,$c10,$c12).
% 104.21/104.45 44231 [hyper,44190,69] {-} cong($c8,$c11,$c8,$c12).
% 104.21/104.45 44276 [hyper,44191,64,18132] {-} para($c10,$c12,$c12,$c12).
% 104.21/104.45 48873 [hyper,34400,6,32630] {-} para($c6,$c3,$c12,$c11).
% 104.21/104.45 57020 [hyper,10528,39] {-} para($c12,$c6,$c6,$c12).
% 104.21/104.45 58854 [hyper,44231,119,11805] {-} cyclic($c11,$c12,$c11,$c11).
% 104.21/104.45 58858 [hyper,44231,118,11805] {-} cyclic($c11,$c12,$c11,$c12).
% 104.21/104.45 61297 [hyper,13661,155,14008] {-} cong($c10,$c10,$c10,$c10).
% 104.21/104.45 61909 [hyper,13833,43,6545] {-} cyclic($c11,$c7,$c11,$c11).
% 104.21/104.45 62327 [hyper,57020,4] {-} para($c12,$c6,$c12,$c6).
% 104.21/104.45 64285 [hyper,58858,122,58854,13833] {-} cong($c11,$c12,$c11,$c12).
% 104.21/104.45 67454 [hyper,61297,68,1019] {-} midp($c10,$c10,$c10).
% 104.21/104.45 67459 [hyper,67454,129,18328] {-} midp($c10,$c12,$c12).
% 104.21/104.45 67720 [hyper,67459,46,44276,2334] {-} midp($c12,$c12,$c12).
% 104.21/104.45 82309 [hyper,61909,15] {-} cyclic($c11,$c11,$c7,$c11).
% 104.21/104.45 82336 [hyper,62327,129,67720] {-} midp($c12,$c6,$c6).
% 104.21/104.45 82895 [hyper,82336,46,57020,516] {-} midp($c6,$c6,$c12).
% 104.21/104.45 89977 [hyper,82895,46,48873,7236] {-} midp($c3,$c6,$c11).
% 104.21/104.45 89981 [hyper,82895,46,34397,7075] {-} midp($c4,$c6,$c11).
% 104.21/104.45 108662 [hyper,89981,45,89977] {-} para($c4,$c3,$c11,$c11).
% 104.21/104.45 146164 [hyper,82309,14] {-} cyclic($c11,$c11,$c11,$c7).
% 104.21/104.45 169602 [hyper,146164,120] {-} cyclic($c11,$c11,$c7,$c7).
% 104.21/104.45 198937 [hyper,169602,17,82309] {-} cyclic($c11,$c7,$c11,$c7).
% 104.21/104.45 208665 [hyper,198937,122,61909,13833] {-} cong($c11,$c7,$c11,$c7).
% 104.21/104.45 227832 [hyper,208665,57,64285] {-} perp($c11,$c11,$c7,$c12).
% 104.21/104.45 239500 [hyper,227832,10,108662] {-} perp($c4,$c3,$c7,$c12).
% 104.21/104.45 239501 [binary,239500.1,113.1] {-} $F.
% 104.21/104.45
% 104.21/104.45 % SZS output end Refutation
% 104.21/104.45 ------------ end of proof -------------
% 104.21/104.45
% 104.21/104.45
% 104.21/104.45 Search stopped by max_proofs option.
% 104.21/104.45
% 104.21/104.45
% 104.21/104.45 Search stopped by max_proofs option.
% 104.21/104.45
% 104.21/104.45 ============ end of search ============
% 104.21/104.45
% 104.21/104.45 That finishes the proof of the theorem.
% 104.21/104.45
% 104.21/104.45 Process 28788 finished Sat Jun 18 05:59:57 2022
%------------------------------------------------------------------------------