TSTP Solution File: GEO619+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO619+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-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 : 600s
% DateTime : Sat Jul 16 06:21:11 EDT 2022
% Result : Theorem 53.19s 53.46s
% Output : Refutation 53.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO619+1 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.09 % Command : sos-script %s
% 0.09/0.29 % Computer : n021.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Sat Jun 18 18:19:32 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.31 ----- Otter 3.2, August 2001 -----
% 0.13/0.31 The process was started by sandbox on n021.cluster.edu,
% 0.13/0.31 Sat Jun 18 18:19:32 2022
% 0.13/0.31 The command was "./sos". The process ID is 16963.
% 0.13/0.31
% 0.13/0.31 set(prolog_style_variables).
% 0.13/0.31 set(auto).
% 0.13/0.31 dependent: set(auto1).
% 0.13/0.31 dependent: set(process_input).
% 0.13/0.31 dependent: clear(print_kept).
% 0.13/0.31 dependent: clear(print_new_demod).
% 0.13/0.31 dependent: clear(print_back_demod).
% 0.13/0.31 dependent: clear(print_back_sub).
% 0.13/0.31 dependent: set(control_memory).
% 0.13/0.31 dependent: assign(max_mem, 12000).
% 0.13/0.31 dependent: assign(pick_given_ratio, 4).
% 0.13/0.31 dependent: assign(stats_level, 1).
% 0.13/0.31 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.31 dependent: assign(sos_limit, 5000).
% 0.13/0.31 dependent: assign(max_weight, 60).
% 0.13/0.31 clear(print_given).
% 0.13/0.31
% 0.13/0.31 formula_list(usable).
% 0.13/0.31
% 0.13/0.31 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.31
% 0.13/0.31 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.31 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.31 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.31 clauses in usable.
% 0.13/0.31
% 0.13/0.31 dependent: set(knuth_bendix).
% 0.13/0.31 dependent: set(para_from).
% 0.13/0.31 dependent: set(para_into).
% 0.13/0.31 dependent: clear(para_from_right).
% 0.13/0.31 dependent: clear(para_into_right).
% 0.13/0.31 dependent: set(para_from_vars).
% 0.13/0.31 dependent: set(eq_units_both_ways).
% 0.13/0.31 dependent: set(dynamic_demod_all).
% 0.13/0.31 dependent: set(dynamic_demod).
% 0.13/0.31 dependent: set(order_eq).
% 0.13/0.31 dependent: set(back_demod).
% 0.13/0.31 dependent: set(lrpo).
% 0.13/0.31 dependent: set(hyper_res).
% 0.13/0.31 dependent: set(unit_deletion).
% 0.13/0.31 dependent: set(factor).
% 0.13/0.31
% 0.13/0.31 ------------> process usable:
% 0.13/0.31 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).
% 0.13/0.31
% 0.13/0.31 ------------> process sos:
% 0.13/0.31 Following clause subsumed by 170 during input processing: 0 [copy,170,flip.1] {-} A=A.
% 0.13/0.31 170 back subsumes 146.
% 0.13/0.31 170 back subsumes 145.
% 0.13/0.31 170 back subsumes 144.
% 0.13/0.31 170 back subsumes 143.
% 0.13/0.31
% 0.13/0.31 ======= end of input processing =======
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 Failed to model usable list: disabling FINDER
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 -------------- Softie stats --------------
% 0.13/0.37
% 0.13/0.37 UPDATE_STOP: 300
% 0.13/0.37 SFINDER_TIME_LIMIT: 2
% 0.13/0.37 SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.37 number of clauses in intial UL: 154
% 0.13/0.37 number of clauses initially in problem: 166
% 0.13/0.37 percentage of clauses intially in UL: 92
% 0.13/0.37 percentage of distinct symbols occuring in initial UL: 79
% 0.13/0.37 percent of all initial clauses that are short: 100
% 0.13/0.37 absolute distinct symbol count: 44
% 0.13/0.37 distinct predicate count: 12
% 0.13/0.37 distinct function count: 20
% 0.13/0.37 distinct constant count: 12
% 0.13/0.37
% 0.13/0.37 ---------- no more Softie stats ----------
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 =========== start of search ===========
% 9.20/9.49
% 9.20/9.49
% 9.20/9.49 Changing weight limit from 60 to 57.
% 9.20/9.49
% 9.20/9.49 Resetting weight limit to 57 after 255 givens.
% 9.20/9.49
% 10.11/10.36
% 10.11/10.36
% 10.11/10.36 Changing weight limit from 57 to 56.
% 10.11/10.36
% 10.11/10.36 Resetting weight limit to 56 after 260 givens.
% 10.11/10.36
% 12.00/12.22
% 12.00/12.22
% 12.00/12.22 Changing weight limit from 56 to 55.
% 12.00/12.22
% 12.00/12.22 Resetting weight limit to 55 after 275 givens.
% 12.00/12.22
% 13.39/13.62
% 13.39/13.62
% 13.39/13.62 Changing weight limit from 55 to 54.
% 13.39/13.62
% 13.39/13.62 Resetting weight limit to 54 after 290 givens.
% 13.39/13.62
% 13.69/13.98
% 13.69/13.98
% 13.69/13.98 Changing weight limit from 54 to 52.
% 13.69/13.98
% 13.69/13.98 Resetting weight limit to 52 after 295 givens.
% 13.69/13.98
% 14.90/15.14
% 14.90/15.14
% 14.90/15.14 Changing weight limit from 52 to 51.
% 14.90/15.14
% 14.90/15.14 Modelling stopped after 300 given clauses and 0.00 seconds
% 14.90/15.14
% 14.90/15.14
% 14.90/15.14 Resetting weight limit to 51 after 310 givens.
% 14.90/15.14
% 17.50/17.73
% 17.50/17.73
% 17.50/17.73 Changing weight limit from 51 to 50.
% 17.50/17.73
% 17.50/17.73 Resetting weight limit to 50 after 350 givens.
% 17.50/17.73
% 19.89/20.10
% 19.89/20.10
% 19.89/20.10 Changing weight limit from 50 to 49.
% 19.89/20.10
% 19.89/20.10 Resetting weight limit to 49 after 395 givens.
% 19.89/20.10
% 20.51/20.77
% 20.51/20.77
% 20.51/20.77 Changing weight limit from 49 to 47.
% 20.51/20.77
% 20.51/20.77 Resetting weight limit to 47 after 410 givens.
% 20.51/20.77
% 20.80/21.00
% 20.80/21.00
% 20.80/21.00 Changing weight limit from 47 to 46.
% 20.80/21.00
% 20.80/21.00 Resetting weight limit to 46 after 415 givens.
% 20.80/21.00
% 21.21/21.46
% 21.21/21.46
% 21.21/21.46 Changing weight limit from 46 to 45.
% 21.21/21.46
% 21.21/21.46 Resetting weight limit to 45 after 425 givens.
% 21.21/21.46
% 21.61/21.90
% 21.61/21.90
% 21.61/21.90 Changing weight limit from 45 to 37.
% 21.61/21.90
% 21.61/21.90 Resetting weight limit to 37 after 435 givens.
% 21.61/21.90
% 21.80/22.02
% 21.80/22.02
% 21.80/22.02 Changing weight limit from 37 to 36.
% 21.80/22.02
% 21.80/22.02 Resetting weight limit to 36 after 440 givens.
% 21.80/22.02
% 21.88/22.14
% 21.88/22.14
% 21.88/22.14 Changing weight limit from 36 to 35.
% 21.88/22.14
% 21.88/22.14 Resetting weight limit to 35 after 445 givens.
% 21.88/22.14
% 22.32/22.58
% 22.32/22.58
% 22.32/22.58 Changing weight limit from 35 to 34.
% 22.32/22.58
% 22.32/22.58 Resetting weight limit to 34 after 455 givens.
% 22.32/22.58
% 22.79/23.05
% 22.79/23.05
% 22.79/23.05 Changing weight limit from 34 to 31.
% 22.79/23.05
% 22.79/23.05 Resetting weight limit to 31 after 465 givens.
% 22.79/23.05
% 23.21/23.41
% 23.21/23.41
% 23.21/23.41 Changing weight limit from 31 to 30.
% 23.21/23.41
% 23.21/23.41 Resetting weight limit to 30 after 475 givens.
% 23.21/23.41
% 29.51/29.75
% 29.51/29.75
% 29.51/29.75 Changing weight limit from 30 to 29.
% 29.51/29.75
% 29.51/29.75 Resetting weight limit to 29 after 675 givens.
% 29.51/29.75
% 30.41/30.65
% 30.41/30.65
% 30.41/30.65 Changing weight limit from 29 to 11.
% 30.41/30.65
% 30.41/30.65 Resetting weight limit to 11 after 720 givens.
% 30.41/30.65
% 30.51/30.76
% 30.51/30.76
% 30.51/30.76 Changing weight limit from 11 to 10.
% 30.51/30.76
% 30.51/30.76 Resetting weight limit to 10 after 740 givens.
% 30.51/30.76
% 31.99/32.20
% 31.99/32.20
% 31.99/32.20 Changing weight limit from 10 to 9.
% 31.99/32.20
% 31.99/32.20 Resetting weight limit to 9 after 1210 givens.
% 31.99/32.20
% 37.91/38.22
% 37.91/38.22
% 37.91/38.22 Changing weight limit from 9 to 8.
% 37.91/38.22
% 37.91/38.22 Resetting weight limit to 8 after 6685 givens.
% 37.91/38.22
% 43.97/44.18
% 43.97/44.18
% 43.97/44.18 Changing weight limit from 8 to 7.
% 43.97/44.18
% 43.97/44.18 Resetting weight limit to 7 after 8675 givens.
% 43.97/44.18
% 45.18/45.48
% 45.18/45.48
% 45.18/45.48 Changing weight limit from 7 to 5.
% 45.18/45.48
% 45.18/45.48 Resetting weight limit to 5 after 9120 givens.
% 45.18/45.48
% 53.19/53.46
% 53.19/53.46 -- HEY sandbox, WE HAVE A PROOF!! --
% 53.19/53.46
% 53.19/53.46 ----> UNIT CONFLICT at 51.91 sec ----> 77345 [binary,77344.1,113.1] {-} $F.
% 53.19/53.46
% 53.19/53.46 Length of proof is 219. Level of proof is 24.
% 53.19/53.46
% 53.19/53.46 ---------------- PROOF ----------------
% 53.19/53.46 % SZS status Theorem
% 53.19/53.46 % SZS output start Refutation
% 53.19/53.46
% 53.19/53.46 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 53.19/53.46 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 53.19/53.46 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 53.19/53.46 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 53.19/53.46 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 53.19/53.46 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 53.19/53.46 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 53.19/53.46 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 53.19/53.46 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 53.19/53.46 13 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)| -cong(A,B,A,E)|cyclic(B,C,D,E).
% 53.19/53.46 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 53.19/53.46 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 53.19/53.46 16 [] {+} -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 53.19/53.46 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 53.19/53.46 23 [] {+} -cong(A,B,C,D)|cong(A,B,D,C).
% 53.19/53.46 24 [] {+} -cong(A,B,C,D)|cong(C,D,A,B).
% 53.19/53.46 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 53.19/53.46 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 53.19/53.46 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 53.19/53.46 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).
% 53.19/53.46 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 53.19/53.46 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 53.19/53.46 56 [] {+} -midp(A,B,C)| -perp(D,A,B,C)|cong(D,B,D,C).
% 53.19/53.46 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 53.19/53.46 58 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)| -cyclic(A,C,B,D)|perp(B,A,A,D).
% 53.19/53.46 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 53.19/53.46 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 53.19/53.46 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 53.19/53.46 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 53.19/53.46 70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 53.19/53.46 113 [] {+} -cong($c9,$c6,$c9,$c5).
% 53.19/53.46 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 53.19/53.46 117 [factor,13.1.2] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,C,D).
% 53.19/53.46 118 [factor,13.1.3] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,D,C).
% 53.19/53.46 119 [factor,13.2.3] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,D,D).
% 53.19/53.46 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 53.19/53.46 122 [factor,44.1.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,D,D,D,E)|cong(A,B,D,E).
% 53.19/53.46 125 [factor,57.1.2] {+} -cong(A,B,C,B)|perp(A,C,B,B).
% 53.19/53.46 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 53.19/53.46 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 53.19/53.46 154 [factor,117.1.2] {+} -cong(A,B,A,C)|cyclic(B,C,C,C).
% 53.19/53.46 159 [] {-} perp($c10,$c12,$c10,$c11).
% 53.19/53.46 160 [] {-} cong($c12,$c10,$c11,$c10).
% 53.19/53.46 161 [] {-} coll($c9,$c12,$c11).
% 53.19/53.46 163 [] {-} coll($c8,$c12,$c11).
% 53.19/53.46 164 [] {-} midp($c7,$c9,$c8).
% 53.19/53.46 166 [] {-} coll($c6,$c10,$c8).
% 53.19/53.46 168 [] {-} coll($c5,$c10,$c9).
% 53.19/53.46 175 [hyper,159,8] {-} perp($c10,$c11,$c10,$c12).
% 53.19/53.46 176 [hyper,159,7] {-} perp($c10,$c12,$c11,$c10).
% 53.19/53.46 194 [hyper,161,2] {-} coll($c12,$c9,$c11).
% 53.19/53.46 195 [hyper,161,1] {-} coll($c9,$c11,$c12).
% 53.19/53.46 208 [hyper,163,114] {-} coll($c11,$c11,$c8).
% 53.19/53.46 227 [hyper,164,128] {-} para($c9,$c9,$c8,$c8).
% 53.19/53.46 229 [hyper,164,70] {-} coll($c7,$c9,$c8).
% 53.19/53.46 231 [hyper,164,11] {-} midp($c7,$c8,$c9).
% 53.19/53.46 244 [hyper,160,125] {-} perp($c12,$c11,$c10,$c10).
% 53.19/53.46 245 [hyper,160,24] {-} cong($c11,$c10,$c12,$c10).
% 53.19/53.46 246 [hyper,160,23] {-} cong($c12,$c10,$c10,$c11).
% 53.19/53.46 263 [hyper,166,114] {-} coll($c8,$c8,$c6).
% 53.19/53.46 264 [hyper,166,2] {-} coll($c10,$c6,$c8).
% 53.19/53.46 265 [hyper,166,1] {-} coll($c6,$c8,$c10).
% 53.19/53.46 279 [hyper,168,2] {-} coll($c10,$c5,$c9).
% 53.19/53.46 280 [hyper,168,1] {-} coll($c5,$c9,$c10).
% 53.19/53.46 307 [hyper,194,114] {-} coll($c11,$c11,$c12).
% 53.19/53.46 308 [hyper,194,1] {-} coll($c12,$c11,$c9).
% 53.19/53.46 357 [hyper,195,114] {-} coll($c12,$c12,$c9).
% 53.19/53.46 371 [hyper,208,114] {-} coll($c8,$c8,$c11).
% 53.19/53.46 374 [hyper,208,1] {-} coll($c11,$c8,$c11).
% 53.19/53.46 432 [hyper,229,2] {-} coll($c9,$c7,$c8).
% 53.19/53.46 450 [hyper,231,128] {-} para($c8,$c8,$c9,$c9).
% 53.19/53.46 461 [hyper,231,64,164] {-} para($c9,$c8,$c8,$c9).
% 53.19/53.46 462 [hyper,231,64,164] {-} para($c8,$c9,$c9,$c8).
% 53.19/53.46 475 [hyper,263,114] {-} coll($c6,$c6,$c8).
% 53.19/53.46 489 [hyper,264,114] {-} coll($c8,$c8,$c10).
% 53.19/53.46 520 [hyper,265,114] {-} coll($c10,$c10,$c6).
% 53.19/53.46 548 [hyper,279,114] {-} coll($c9,$c9,$c10).
% 53.19/53.46 562 [hyper,280,114] {-} coll($c10,$c10,$c5).
% 53.19/53.46 623 [hyper,307,1] {-} coll($c11,$c12,$c11).
% 53.19/53.46 636 [hyper,308,114] {-} coll($c9,$c9,$c12).
% 53.19/53.46 684 [hyper,357,1] {-} coll($c12,$c9,$c12).
% 53.19/53.46 888 [hyper,432,114] {-} coll($c8,$c8,$c9).
% 53.19/53.46 947 [hyper,475,1] {-} coll($c6,$c8,$c6).
% 53.19/53.46 974 [hyper,489,114] {-} coll($c10,$c10,$c8).
% 53.19/53.46 976 [hyper,489,3,371] {-} coll($c11,$c10,$c8).
% 53.19/53.46 978 [hyper,489,3,371] {-} coll($c10,$c11,$c8).
% 53.19/53.46 1010 [hyper,175,9,159] {-} para($c10,$c12,$c10,$c12).
% 53.19/53.46 1083 [hyper,176,8] {-} perp($c11,$c10,$c10,$c12).
% 53.19/53.46 1100 [hyper,548,114] {-} coll($c10,$c10,$c9).
% 53.19/53.46 1130 [hyper,562,3,520] {-} coll($c6,$c5,$c10).
% 53.19/53.46 1442 [hyper,636,3,548] {-} coll($c10,$c12,$c9).
% 53.19/53.46 1444 [hyper,636,3,548] {-} coll($c12,$c10,$c9).
% 53.19/53.46 2229 [hyper,888,3,263] {-} coll($c6,$c9,$c8).
% 53.19/53.46 2350 [hyper,947,2] {-} coll($c8,$c6,$c6).
% 53.19/53.46 2388 [hyper,974,3,562] {-} coll($c8,$c5,$c10).
% 53.19/53.46 2389 [hyper,974,1] {-} coll($c10,$c8,$c10).
% 53.19/53.46 2471 [hyper,976,1] {-} coll($c11,$c8,$c10).
% 53.19/53.46 2497 [hyper,978,1] {-} coll($c10,$c8,$c11).
% 53.19/53.46 2767 [hyper,1100,3,520] {-} coll($c6,$c9,$c10).
% 53.19/53.46 2770 [hyper,1100,1] {-} coll($c10,$c9,$c10).
% 53.19/53.46 2885 [hyper,1130,1] {-} coll($c6,$c10,$c5).
% 53.19/53.46 3157 [hyper,1442,1] {-} coll($c10,$c9,$c12).
% 53.19/53.46 3183 [hyper,1444,1] {-} coll($c12,$c9,$c10).
% 53.19/53.46 4115 [hyper,2229,1] {-} coll($c6,$c8,$c9).
% 53.19/53.46 4602 [hyper,2388,1] {-} coll($c8,$c10,$c5).
% 53.19/53.46 4659 [hyper,2471,3,374] {-} coll($c10,$c11,$c11).
% 53.19/53.46 4753 [hyper,2497,3,2389] {-} coll($c11,$c10,$c10).
% 53.19/53.46 4971 [hyper,2767,1] {-} coll($c6,$c10,$c9).
% 53.19/53.46 5149 [hyper,2885,3,166] {-} coll($c8,$c5,$c6).
% 53.19/53.46 5514 [hyper,3157,3,2770] {-} coll($c10,$c12,$c10).
% 53.19/53.46 5519 [hyper,3157,3,2770] {-} coll($c12,$c10,$c10).
% 53.19/53.46 5556 [hyper,3183,3,684] {-} coll($c12,$c10,$c12).
% 53.19/53.46 5557 [hyper,3183,3,194] {-} coll($c11,$c10,$c12).
% 53.19/53.46 6824 [hyper,4115,3,947] {-} coll($c9,$c6,$c6).
% 53.19/53.46 7034 [hyper,244,8] {-} perp($c10,$c10,$c12,$c11).
% 53.19/53.46 7100 [hyper,245,25,160] {-} cong($c12,$c10,$c12,$c10).
% 53.19/53.46 7101 [hyper,245,25,160] {-} cong($c11,$c10,$c11,$c10).
% 53.19/53.46 7182 [hyper,246,24] {-} cong($c10,$c11,$c12,$c10).
% 53.19/53.46 7479 [hyper,4971,3,2885] {-} coll($c9,$c5,$c6).
% 53.19/53.46 10114 [hyper,450,6,227] {-} para($c8,$c8,$c8,$c8).
% 53.19/53.46 10419 [hyper,461,4] {-} para($c9,$c8,$c9,$c8).
% 53.19/53.46 10564 [hyper,462,6,461] {-} para($c8,$c9,$c8,$c9).
% 53.19/53.46 10709 [hyper,1010,40] {-} eqangle($c10,$c12,A,B,$c10,$c12,A,B).
% 53.19/53.46 11157 [hyper,1083,9,176] {-} para($c11,$c10,$c11,$c10).
% 53.19/53.46 11158 [hyper,1083,7] {-} perp($c11,$c10,$c12,$c10).
% 53.19/53.46 11347 [hyper,7034,9,244] {-} para($c12,$c11,$c12,$c11).
% 53.19/53.46 11383 [hyper,7100,68,5519] {-} midp($c12,$c10,$c10).
% 53.19/53.46 11404 [hyper,11383,129,1010] {-} midp($c12,$c12,$c12).
% 53.19/53.46 11570 [hyper,7101,68,4753] {-} midp($c11,$c10,$c10).
% 53.19/53.46 11596 [hyper,11570,129,1010] {-} midp($c11,$c12,$c12).
% 53.19/53.46 11829 [hyper,11596,69] {-} cong($c11,$c12,$c11,$c12).
% 53.19/53.46 11830 [hyper,11596,45,11404] {-} para($c12,$c11,$c12,$c12).
% 53.19/53.46 11846 [hyper,7182,25,246] {-} cong($c10,$c11,$c10,$c11).
% 53.19/53.46 12121 [hyper,10114,40] {-} eqangle($c8,$c8,A,B,$c8,$c8,A,B).
% 53.19/53.46 12658 [hyper,10419,40] {-} eqangle($c9,$c8,A,B,$c9,$c8,A,B).
% 53.19/53.46 12794 [hyper,10564,40] {-} eqangle($c8,$c9,A,B,$c8,$c9,A,B).
% 53.19/53.46 13982 [hyper,11157,40] {-} eqangle($c11,$c10,A,B,$c11,$c10,A,B).
% 53.19/53.46 14395 [hyper,11347,46,11404,623] {-} midp($c11,$c12,$c11).
% 53.19/53.46 14552 [hyper,14395,69] {-} cong($c11,$c12,$c11,$c11).
% 53.19/53.46 14554 [hyper,14395,46,11157,5514] {-} midp($c10,$c12,$c10).
% 53.19/53.46 14727 [hyper,14554,69] {-} cong($c10,$c12,$c10,$c10).
% 53.19/53.46 14728 [hyper,14554,56,11158] {-} cong($c11,$c12,$c11,$c10).
% 53.19/53.46 14729 [hyper,14554,11] {-} midp($c10,$c10,$c12).
% 53.19/53.46 15111 [hyper,14729,56,1083] {-} cong($c11,$c10,$c11,$c12).
% 53.19/53.46 17388 [hyper,11846,68,4659] {-} midp($c10,$c11,$c11).
% 53.19/53.46 17395 [hyper,17388,129,11157] {-} midp($c10,$c10,$c10).
% 53.19/53.46 17651 [hyper,17395,69] {-} cong($c10,$c10,$c10,$c10).
% 53.19/53.46 17659 [hyper,17395,46,1010,5556] {-} midp($c12,$c10,$c12).
% 53.19/53.46 18041 [hyper,17659,46,11830,5557] {-} midp($c11,$c10,$c12).
% 53.19/53.46 22357 [hyper,14727,154] {-} cyclic($c12,$c10,$c10,$c10).
% 53.19/53.46 22376 [hyper,14728,117,14552] {-} cyclic($c12,$c10,$c10,$c11).
% 53.19/53.46 22377 [hyper,14728,117,11829] {-} cyclic($c12,$c10,$c10,$c12).
% 53.19/53.46 23096 [hyper,15111,119,7101] {-} cyclic($c10,$c10,$c12,$c12).
% 53.19/53.46 23099 [hyper,15111,118,7101] {-} cyclic($c10,$c12,$c10,$c12).
% 53.19/53.46 35998 [hyper,10709,43,1100] {-} cyclic($c12,$c9,$c10,$c10).
% 53.19/53.47 35999 [hyper,10709,43,974] {-} cyclic($c12,$c8,$c10,$c10).
% 53.19/53.47 36002 [hyper,10709,43,562] {-} cyclic($c12,$c5,$c10,$c10).
% 53.19/53.47 36003 [hyper,10709,43,520] {-} cyclic($c12,$c6,$c10,$c10).
% 53.19/53.47 36011 [hyper,35998,15] {-} cyclic($c12,$c10,$c9,$c10).
% 53.19/53.47 36012 [hyper,35999,120] {-} cyclic($c8,$c10,$c10,$c10).
% 53.19/53.47 36014 [hyper,35999,15] {-} cyclic($c12,$c10,$c8,$c10).
% 53.19/53.47 36017 [hyper,36002,15] {-} cyclic($c12,$c10,$c5,$c10).
% 53.19/53.47 36021 [hyper,36003,120] {-} cyclic($c6,$c10,$c10,$c10).
% 53.19/53.47 36023 [hyper,36003,15] {-} cyclic($c12,$c10,$c6,$c10).
% 53.19/53.47 36040 [hyper,36011,14] {-} cyclic($c12,$c10,$c10,$c9).
% 53.19/53.47 36042 [hyper,36012,16] {-} cyclic($c10,$c8,$c10,$c10).
% 53.19/53.47 36049 [hyper,36014,16] {-} cyclic($c10,$c12,$c8,$c10).
% 53.19/53.47 36050 [hyper,36014,14] {-} cyclic($c12,$c10,$c10,$c8).
% 53.19/53.47 36059 [hyper,36017,16] {-} cyclic($c10,$c12,$c5,$c10).
% 53.19/53.47 36060 [hyper,36017,14] {-} cyclic($c12,$c10,$c10,$c5).
% 53.19/53.47 36062 [hyper,36021,16] {-} cyclic($c10,$c6,$c10,$c10).
% 53.19/53.47 36067 [hyper,36023,14] {-} cyclic($c12,$c10,$c10,$c6).
% 53.19/53.47 36094 [hyper,36040,120] {-} cyclic($c10,$c10,$c9,$c9).
% 53.19/53.47 36107 [hyper,36042,15] {-} cyclic($c10,$c10,$c8,$c10).
% 53.19/53.47 36112 [hyper,36049,14] {-} cyclic($c10,$c12,$c10,$c8).
% 53.19/53.47 36113 [hyper,36050,120] {-} cyclic($c10,$c10,$c8,$c8).
% 53.19/53.47 36116 [hyper,36050,17,36040] {-} cyclic($c10,$c10,$c9,$c8).
% 53.19/53.47 36118 [hyper,36050,17,22377] {-} cyclic($c10,$c10,$c12,$c8).
% 53.19/53.47 36121 [hyper,36050,17,36040] {-} cyclic($c10,$c10,$c8,$c9).
% 53.19/53.47 36123 [hyper,36050,17,22377] {-} cyclic($c10,$c10,$c8,$c12).
% 53.19/53.47 36124 [hyper,36050,17,22376] {-} cyclic($c10,$c10,$c8,$c11).
% 53.19/53.47 36132 [hyper,36059,14] {-} cyclic($c10,$c12,$c10,$c5).
% 53.19/53.47 36139 [hyper,36060,17,22377] {-} cyclic($c10,$c10,$c12,$c5).
% 53.19/53.47 36161 [hyper,36062,15] {-} cyclic($c10,$c10,$c6,$c10).
% 53.19/53.47 36167 [hyper,36067,120] {-} cyclic($c10,$c10,$c6,$c6).
% 53.19/53.47 36171 [hyper,36067,17,36050] {-} cyclic($c10,$c10,$c8,$c6).
% 53.19/53.47 36172 [hyper,36067,17,36040] {-} cyclic($c10,$c10,$c9,$c6).
% 53.19/53.47 36176 [hyper,36067,17,22357] {-} cyclic($c10,$c10,$c10,$c6).
% 53.19/53.47 36182 [hyper,36067,17,22376] {-} cyclic($c10,$c10,$c6,$c11).
% 53.19/53.47 36352 [hyper,36112,120] {-} cyclic($c12,$c10,$c8,$c8).
% 53.19/53.47 36362 [hyper,36112,17,23099] {-} cyclic($c12,$c10,$c8,$c12).
% 53.19/53.47 36363 [hyper,36113,120] {-} cyclic($c10,$c8,$c8,$c8).
% 53.19/53.47 36365 [hyper,36113,17,36107] {-} cyclic($c10,$c8,$c10,$c8).
% 53.19/53.47 36400 [hyper,36118,17,23096] {-} cyclic($c10,$c12,$c12,$c8).
% 53.19/53.47 36437 [hyper,36123,120] {-} cyclic($c10,$c8,$c12,$c12).
% 53.19/53.47 36441 [hyper,36123,17,36113] {-} cyclic($c10,$c8,$c8,$c12).
% 53.19/53.47 36443 [hyper,36123,17,36121] {-} cyclic($c10,$c8,$c12,$c9).
% 53.19/53.47 36444 [hyper,36123,17,36113] {-} cyclic($c10,$c8,$c12,$c8).
% 53.19/53.47 36445 [hyper,36124,120] {-} cyclic($c10,$c8,$c11,$c11).
% 53.19/53.47 36450 [hyper,36124,17,36113] {-} cyclic($c10,$c8,$c8,$c11).
% 53.19/53.47 36454 [hyper,36124,17,36121] {-} cyclic($c10,$c8,$c11,$c9).
% 53.19/53.47 36455 [hyper,36124,17,36113] {-} cyclic($c10,$c8,$c11,$c8).
% 53.19/53.47 36464 [hyper,36132,120] {-} cyclic($c12,$c10,$c5,$c5).
% 53.19/53.47 36476 [hyper,36132,17,23099] {-} cyclic($c12,$c10,$c5,$c12).
% 53.19/53.47 36536 [hyper,36139,17,23096] {-} cyclic($c10,$c12,$c12,$c5).
% 53.19/53.47 36666 [hyper,36171,120] {-} cyclic($c10,$c8,$c6,$c6).
% 53.19/53.47 36679 [hyper,36171,17,36121] {-} cyclic($c10,$c8,$c6,$c9).
% 53.19/53.47 36680 [hyper,36171,17,36113] {-} cyclic($c10,$c8,$c6,$c8).
% 53.19/53.47 36688 [hyper,36172,120] {-} cyclic($c10,$c9,$c6,$c6).
% 53.19/53.47 36698 [hyper,36172,17,36116] {-} cyclic($c10,$c9,$c6,$c8).
% 53.19/53.47 36702 [hyper,36172,17,36094] {-} cyclic($c10,$c9,$c6,$c9).
% 53.19/53.47 36808 [hyper,36182,120] {-} cyclic($c10,$c6,$c11,$c11).
% 53.19/53.47 36822 [hyper,36182,17,36167] {-} cyclic($c10,$c6,$c11,$c6).
% 53.19/53.47 36823 [hyper,36182,17,36161] {-} cyclic($c10,$c6,$c11,$c10).
% 53.19/53.47 37399 [hyper,36352,15] {-} cyclic($c12,$c8,$c10,$c8).
% 53.19/53.47 37422 [hyper,36362,15] {-} cyclic($c12,$c8,$c10,$c12).
% 53.19/53.47 37424 [hyper,36363,16] {-} cyclic($c8,$c10,$c8,$c8).
% 53.19/53.47 37432 [hyper,36365,17,36042] {-} cyclic($c8,$c10,$c8,$c10).
% 53.19/53.47 37966 [hyper,36443,120] {-} cyclic($c8,$c12,$c9,$c9).
% 53.19/53.47 37972 [hyper,36443,17,36437] {-} cyclic($c8,$c12,$c9,$c12).
% 53.19/53.47 37976 [hyper,36444,17,36443] {-} cyclic($c8,$c12,$c9,$c8).
% 53.19/53.47 38035 [hyper,36450,17,36441] {-} cyclic($c8,$c8,$c11,$c12).
% 53.19/53.47 38061 [hyper,36454,120] {-} cyclic($c8,$c11,$c9,$c9).
% 53.19/53.47 38068 [hyper,36454,17,36445] {-} cyclic($c8,$c11,$c9,$c11).
% 53.19/53.47 38074 [hyper,36455,17,36454] {-} cyclic($c8,$c11,$c9,$c8).
% 53.19/53.47 38096 [hyper,36464,15] {-} cyclic($c12,$c5,$c10,$c5).
% 53.19/53.47 38127 [hyper,36476,15] {-} cyclic($c12,$c5,$c10,$c12).
% 53.19/53.47 38651 [hyper,36536,17,36400] {-} cyclic($c12,$c12,$c8,$c5).
% 53.19/53.47 39749 [hyper,36679,120] {-} cyclic($c8,$c6,$c9,$c9).
% 53.19/53.47 39760 [hyper,36679,17,36666] {-} cyclic($c8,$c6,$c9,$c6).
% 53.19/53.47 39763 [hyper,36680,17,36679] {-} cyclic($c8,$c6,$c9,$c8).
% 53.19/53.47 39919 [hyper,36698,120] {-} cyclic($c9,$c6,$c8,$c8).
% 53.19/53.47 39924 [hyper,36698,17,36688] {-} cyclic($c9,$c6,$c8,$c6).
% 53.19/53.47 39963 [hyper,36702,17,36698] {-} cyclic($c9,$c6,$c8,$c9).
% 53.19/53.47 41901 [hyper,37422,44,37399,35999,10709] {-} cong($c12,$c8,$c12,$c8).
% 53.19/53.47 41910 [hyper,37432,122,37424,12121] {-} cong($c8,$c10,$c8,$c10).
% 53.19/53.47 42747 [hyper,37976,44,37972,37966,12658] {-} cong($c8,$c12,$c8,$c12).
% 53.19/53.47 42874 [hyper,38074,44,38068,38061,12658] {-} cong($c8,$c11,$c8,$c11).
% 53.19/53.47 42925 [hyper,38127,44,38096,36002,10709] {-} cong($c12,$c5,$c12,$c5).
% 53.19/53.47 43359 [hyper,13982,44,36823,36822,36808] {-} cong($c10,$c6,$c10,$c6).
% 53.19/53.47 45182 [hyper,39763,44,39760,39749,12658] {-} cong($c8,$c6,$c8,$c6).
% 53.19/53.47 45564 [hyper,39963,44,39924,39919,12794] {-} cong($c9,$c6,$c9,$c6).
% 53.19/53.47 52254 [hyper,41910,125] {-} perp($c8,$c8,$c10,$c10).
% 53.19/53.47 55434 [hyper,42874,58,42747,38035] {-} perp($c11,$c8,$c8,$c12).
% 53.19/53.47 55457 [hyper,42925,58,41901,38651] {-} perp($c8,$c12,$c12,$c5).
% 53.19/53.47 56090 [hyper,43359,58,17651,36176] {-} perp($c10,$c10,$c10,$c6).
% 53.19/53.47 64009 [hyper,45182,68,2350] {-} midp($c8,$c6,$c6).
% 53.19/53.47 64302 [hyper,45564,68,6824] {-} midp($c9,$c6,$c6).
% 53.19/53.47 64349 [hyper,64302,45,64009] {-} para($c8,$c9,$c6,$c6).
% 53.19/53.47 67993 [hyper,55457,9,55434] {-} para($c11,$c8,$c12,$c5).
% 53.19/53.47 69283 [hyper,56090,9,52254] {-} para($c8,$c8,$c10,$c6).
% 53.19/53.47 75211 [hyper,67993,46,18041,4602] {-} midp($c8,$c10,$c5).
% 53.19/53.47 75257 [hyper,75211,11] {-} midp($c8,$c5,$c10).
% 53.19/53.47 76659 [hyper,69283,46,75257,5149] {-} midp($c8,$c5,$c6).
% 53.19/53.47 76672 [hyper,76659,46,64349,7479] {-} midp($c9,$c5,$c6).
% 53.19/53.47 76740 [hyper,76672,11] {-} midp($c9,$c6,$c5).
% 53.19/53.47 77344 [hyper,76740,69] {-} cong($c9,$c6,$c9,$c5).
% 53.19/53.47 77345 [binary,77344.1,113.1] {-} $F.
% 53.19/53.47
% 53.19/53.47 % SZS output end Refutation
% 53.19/53.47 ------------ end of proof -------------
% 53.19/53.47
% 53.19/53.47
% 53.19/53.47 Search stopped by max_proofs option.
% 53.19/53.47
% 53.19/53.47
% 53.19/53.47 Search stopped by max_proofs option.
% 53.19/53.47
% 53.19/53.47 ============ end of search ============
% 53.19/53.47
% 53.19/53.47 That finishes the proof of the theorem.
% 53.19/53.47
% 53.19/53.47 Process 16963 finished Sat Jun 18 18:20:25 2022
%------------------------------------------------------------------------------