TSTP Solution File: GEO635+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO635+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n019.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 06:21:16 EDT 2022
% Result : Theorem 35.48s 35.71s
% Output : Refutation 35.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO635+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n019.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 : Fri Jun 17 20:04:54 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 n019.cluster.edu,
% 0.12/0.37 Fri Jun 17 20:04:54 2022
% 0.12/0.37 The command was "./sos". The process ID is 26066.
% 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 165 during input processing: 0 [copy,165,flip.1] {-} A=A.
% 0.12/0.37 165 back subsumes 146.
% 0.12/0.37 165 back subsumes 145.
% 0.12/0.37 165 back subsumes 144.
% 0.12/0.37 165 back subsumes 143.
% 0.12/0.37
% 0.12/0.37 ======= end of input processing =======
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Failed to model usable list: disabling FINDER
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 -------------- Softie stats --------------
% 0.19/0.43
% 0.19/0.43 UPDATE_STOP: 300
% 0.19/0.43 SFINDER_TIME_LIMIT: 2
% 0.19/0.43 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.43 number of clauses in intial UL: 154
% 0.19/0.43 number of clauses initially in problem: 161
% 0.19/0.43 percentage of clauses intially in UL: 95
% 0.19/0.43 percentage of distinct symbols occuring in initial UL: 87
% 0.19/0.43 percent of all initial clauses that are short: 100
% 0.19/0.43 absolute distinct symbol count: 41
% 0.19/0.43 distinct predicate count: 12
% 0.19/0.43 distinct function count: 20
% 0.19/0.43 distinct constant count: 9
% 0.19/0.43
% 0.19/0.43 ---------- no more Softie stats ----------
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 =========== start of search ===========
% 7.39/7.61
% 7.39/7.61
% 7.39/7.61 Changing weight limit from 60 to 57.
% 7.39/7.61
% 7.39/7.61 Resetting weight limit to 57 after 235 givens.
% 7.39/7.61
% 8.08/8.26
% 8.08/8.26
% 8.08/8.26 Changing weight limit from 57 to 56.
% 8.08/8.26
% 8.08/8.26 Resetting weight limit to 56 after 240 givens.
% 8.08/8.26
% 10.13/10.35
% 10.13/10.35
% 10.13/10.35 Changing weight limit from 56 to 55.
% 10.13/10.35
% 10.13/10.35 Resetting weight limit to 55 after 250 givens.
% 10.13/10.35
% 12.69/12.87
% 12.69/12.87
% 12.69/12.87 Changing weight limit from 55 to 54.
% 12.69/12.87
% 12.69/12.87 Resetting weight limit to 54 after 275 givens.
% 12.69/12.87
% 14.43/14.66
% 14.43/14.66
% 14.43/14.66 Changing weight limit from 54 to 52.
% 14.43/14.66
% 14.43/14.66 Resetting weight limit to 52 after 285 givens.
% 14.43/14.66
% 15.39/15.61
% 15.39/15.61
% 15.39/15.61 Changing weight limit from 52 to 51.
% 15.39/15.61
% 15.39/15.61 Resetting weight limit to 51 after 290 givens.
% 15.39/15.61
% 17.45/17.68
% 17.45/17.68
% 17.45/17.68 Changing weight limit from 51 to 50.
% 17.45/17.68
% 17.45/17.68 Resetting weight limit to 50 after 295 givens.
% 17.45/17.68
% 19.63/19.84
% 19.63/19.84
% 19.63/19.84 Changing weight limit from 50 to 49.
% 19.63/19.84
% 19.63/19.84 Modelling stopped after 300 given clauses and 0.00 seconds
% 19.63/19.84
% 19.63/19.84
% 19.63/19.84 Resetting weight limit to 49 after 305 givens.
% 19.63/19.84
% 20.24/20.45
% 20.24/20.45
% 20.24/20.45 Changing weight limit from 49 to 47.
% 20.24/20.45
% 20.24/20.45 Resetting weight limit to 47 after 310 givens.
% 20.24/20.45
% 20.98/21.24
% 20.98/21.24
% 20.98/21.24 Changing weight limit from 47 to 45.
% 20.98/21.24
% 20.98/21.24 Resetting weight limit to 45 after 315 givens.
% 20.98/21.24
% 21.67/21.89
% 21.67/21.89
% 21.67/21.89 Changing weight limit from 45 to 35.
% 21.67/21.89
% 21.67/21.89 Resetting weight limit to 35 after 320 givens.
% 21.67/21.89
% 21.99/22.20
% 21.99/22.20
% 21.99/22.20 Changing weight limit from 35 to 34.
% 21.99/22.20
% 21.99/22.20 Resetting weight limit to 34 after 325 givens.
% 21.99/22.20
% 22.44/22.68
% 22.44/22.68
% 22.44/22.68 Changing weight limit from 34 to 33.
% 22.44/22.68
% 22.44/22.68 Resetting weight limit to 33 after 335 givens.
% 22.44/22.68
% 22.51/22.76
% 22.51/22.76
% 22.51/22.76 Changing weight limit from 33 to 31.
% 22.51/22.76
% 22.51/22.76 Resetting weight limit to 31 after 345 givens.
% 22.51/22.76
% 22.65/22.84
% 22.65/22.84
% 22.65/22.84 Changing weight limit from 31 to 30.
% 22.65/22.84
% 22.65/22.84 Resetting weight limit to 30 after 375 givens.
% 22.65/22.84
% 23.80/24.06
% 23.80/24.06
% 23.80/24.06 Changing weight limit from 30 to 29.
% 23.80/24.06
% 23.80/24.06 Resetting weight limit to 29 after 605 givens.
% 23.80/24.06
% 24.46/24.67
% 24.46/24.67
% 24.46/24.67 Changing weight limit from 29 to 26.
% 24.46/24.67
% 24.46/24.67 Resetting weight limit to 26 after 910 givens.
% 24.46/24.67
% 24.58/24.77
% 24.58/24.77
% 24.58/24.77 Changing weight limit from 26 to 18.
% 24.58/24.77
% 24.58/24.77 Resetting weight limit to 18 after 940 givens.
% 24.58/24.77
% 24.92/25.14
% 24.92/25.14
% 24.92/25.14 Changing weight limit from 18 to 17.
% 24.92/25.14
% 24.92/25.14 Resetting weight limit to 17 after 1115 givens.
% 24.92/25.14
% 24.98/25.19
% 24.98/25.19
% 24.98/25.19 Changing weight limit from 17 to 14.
% 24.98/25.19
% 24.98/25.19 Resetting weight limit to 14 after 1120 givens.
% 24.98/25.19
% 25.56/25.74
% 25.56/25.74
% 25.56/25.74 Changing weight limit from 14 to 13.
% 25.56/25.74
% 25.56/25.74 Resetting weight limit to 13 after 1250 givens.
% 25.56/25.74
% 25.60/25.81
% 25.60/25.81
% 25.60/25.81 Changing weight limit from 13 to 12.
% 25.60/25.81
% 25.60/25.81 Resetting weight limit to 12 after 1270 givens.
% 25.60/25.81
% 25.70/25.88
% 25.70/25.88
% 25.70/25.88 Changing weight limit from 12 to 11.
% 25.70/25.88
% 25.70/25.88 Resetting weight limit to 11 after 1280 givens.
% 25.70/25.88
% 25.70/25.91
% 25.70/25.91
% 25.70/25.91 Changing weight limit from 11 to 10.
% 25.70/25.91
% 25.70/25.91 Resetting weight limit to 10 after 1285 givens.
% 25.70/25.91
% 26.73/26.97
% 26.73/26.97
% 26.73/26.97 Changing weight limit from 10 to 9.
% 26.73/26.97
% 26.73/26.97 Resetting weight limit to 9 after 1805 givens.
% 26.73/26.97
% 34.35/34.54
% 34.35/34.54
% 34.35/34.54 Changing weight limit from 9 to 8.
% 34.35/34.54
% 34.35/34.54 Resetting weight limit to 8 after 6475 givens.
% 34.35/34.54
% 35.48/35.71
% 35.48/35.71 -- HEY sandbox2, WE HAVE A PROOF!! --
% 35.48/35.71
% 35.48/35.71 ----> UNIT CONFLICT at 34.89 sec ----> 101872 [binary,101871.1,113.1] {-} $F.
% 35.48/35.71
% 35.48/35.71 Length of proof is 160. Level of proof is 23.
% 35.48/35.71
% 35.48/35.71 ---------------- PROOF ----------------
% 35.48/35.71 % SZS status Theorem
% 35.48/35.71 % SZS output start Refutation
% 35.48/35.71
% 35.48/35.71 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 35.48/35.71 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 35.48/35.71 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 35.48/35.71 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 35.48/35.71 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 35.48/35.71 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 35.48/35.71 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 35.48/35.71 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 35.48/35.71 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 35.48/35.71 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 35.48/35.71 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 35.48/35.71 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 35.48/35.71 16 [] {+} -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 35.48/35.71 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 35.48/35.71 19 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(C,D,A,B,G,H,E,F).
% 35.48/35.71 20 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(E,F,G,H,A,B,C,D).
% 35.48/35.71 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).
% 35.48/35.71 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 35.48/35.71 39 [] {+} -eqangle(A,B,C,D,E,F,C,D)|para(A,B,E,F).
% 35.48/35.71 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 35.48/35.71 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 35.48/35.71 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).
% 35.48/35.71 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 35.48/35.71 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 35.48/35.71 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 35.48/35.71 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 35.48/35.71 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 35.48/35.71 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 35.48/35.71 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 35.48/35.71 99 [] {+} -circle(A,B,C,D)|perp($f12(B,C,D,A),B,B,A).
% 35.48/35.71 113 [] {+} -para($c9,$c8,$c3,$c4).
% 35.48/35.71 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 35.48/35.71 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 35.48/35.71 123 [factor,44.2.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,E)|cong(A,B,D,E).
% 35.48/35.71 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 35.48/35.71 159 [] {-} circle($c6,$c9,$c8,$c7).
% 35.48/35.71 160 [] {-} coll($c5,$c9,$c8).
% 35.48/35.71 162 [] {-} eqangle($c9,$c7,$c7,$c5,$c4,$c7,$c7,$c8).
% 35.48/35.71 163 [] {-} circle($c6,$c7,$c3,$c1).
% 35.48/35.71 164 [] {-} coll($c3,$c7,$c5).
% 35.48/35.71 166 [hyper,159,99] {-} perp($f12($c9,$c8,$c7,$c6),$c9,$c9,$c6).
% 35.48/35.71 183 [hyper,160,114] {-} coll($c8,$c8,$c5).
% 35.48/35.71 184 [hyper,160,2] {-} coll($c9,$c5,$c8).
% 35.48/35.71 185 [hyper,160,1] {-} coll($c5,$c8,$c9).
% 35.48/35.71 198 [hyper,164,114] {-} coll($c5,$c5,$c3).
% 35.48/35.71 199 [hyper,164,2] {-} coll($c7,$c3,$c5).
% 35.48/35.71 213 [hyper,183,114] {-} coll($c5,$c5,$c8).
% 35.48/35.71 214 [hyper,183,1] {-} coll($c8,$c5,$c8).
% 35.48/35.71 244 [hyper,184,114] {-} coll($c8,$c8,$c9).
% 35.48/35.71 245 [hyper,184,1] {-} coll($c9,$c8,$c5).
% 35.48/35.71 258 [hyper,185,114] {-} coll($c9,$c9,$c5).
% 35.48/35.71 272 [hyper,198,114] {-} coll($c3,$c3,$c5).
% 35.48/35.71 286 [hyper,199,114] {-} coll($c5,$c5,$c7).
% 35.48/35.71 301 [hyper,162,20] {-} eqangle($c4,$c7,$c7,$c8,$c9,$c7,$c7,$c5).
% 35.48/35.71 379 [hyper,244,114] {-} coll($c9,$c9,$c8).
% 35.48/35.71 380 [hyper,244,1] {-} coll($c8,$c9,$c8).
% 35.48/35.71 393 [hyper,163,99] {-} perp($f12($c7,$c3,$c1,$c6),$c7,$c7,$c6).
% 35.48/35.71 410 [hyper,245,114] {-} coll($c5,$c5,$c9).
% 35.48/35.71 424 [hyper,258,1] {-} coll($c9,$c5,$c9).
% 35.48/35.71 450 [hyper,272,1] {-} coll($c3,$c5,$c3).
% 35.48/35.71 463 [hyper,166,8] {-} perp($c9,$c6,$f12($c9,$c8,$c7,$c6),$c9).
% 35.48/35.71 511 [hyper,286,114] {-} coll($c7,$c7,$c5).
% 35.48/35.71 512 [hyper,286,3,213] {-} coll($c8,$c7,$c5).
% 35.48/35.71 957 [hyper,410,3,286] {-} coll($c7,$c9,$c5).
% 35.48/35.71 958 [hyper,410,3,198] {-} coll($c3,$c9,$c5).
% 35.48/35.71 985 [hyper,424,114] {-} coll($c9,$c9,$c9).
% 35.48/35.71 1152 [hyper,511,1] {-} coll($c7,$c5,$c7).
% 35.48/35.71 1245 [hyper,512,1] {-} coll($c8,$c5,$c7).
% 35.48/35.71 1658 [hyper,957,1] {-} coll($c7,$c5,$c9).
% 35.48/35.71 1671 [hyper,958,1] {-} coll($c3,$c5,$c9).
% 35.48/35.71 1986 [hyper,1245,114] {-} coll($c7,$c7,$c8).
% 35.48/35.71 1990 [hyper,1245,3,214] {-} coll($c8,$c7,$c8).
% 35.48/35.71 2386 [hyper,1658,114] {-} coll($c9,$c9,$c7).
% 35.48/35.71 2388 [hyper,1658,3,1152] {-} coll($c7,$c9,$c7).
% 35.48/35.71 2407 [hyper,1671,114] {-} coll($c9,$c9,$c3).
% 35.48/35.71 2410 [hyper,1671,3,450] {-} coll($c3,$c9,$c3).
% 35.48/35.71 3679 [hyper,301,22,162] {-} eqangle($c9,$c7,$c7,$c5,$c9,$c7,$c7,$c5).
% 35.48/35.71 3680 [hyper,301,22,162] {-} eqangle($c4,$c7,$c7,$c8,$c4,$c7,$c7,$c8).
% 35.48/35.71 3783 [hyper,393,8] {-} perp($c7,$c6,$f12($c7,$c3,$c1,$c6),$c7).
% 35.48/35.71 3784 [hyper,393,7] {-} perp($f12($c7,$c3,$c1,$c6),$c7,$c6,$c7).
% 35.48/35.71 3875 [hyper,463,9,166] {-} para($c9,$c6,$c9,$c6).
% 35.48/35.71 3909 [hyper,3875,67] {-} coll($c9,$c6,$c6).
% 35.48/35.71 3910 [hyper,3875,40] {-} eqangle($c9,$c6,A,B,$c9,$c6,A,B).
% 35.48/35.71 3911 [hyper,3875,4] {-} para($c9,$c6,$c6,$c9).
% 35.48/35.71 3928 [hyper,3909,114] {-} coll($c6,$c6,$c9).
% 35.48/35.71 3930 [hyper,3909,2] {-} coll($c6,$c9,$c6).
% 35.48/35.71 3943 [hyper,3928,114] {-} coll($c9,$c9,$c6).
% 35.48/35.71 4044 [hyper,3943,3,2386] {-} coll($c7,$c6,$c9).
% 35.48/35.71 4045 [hyper,3943,3,985] {-} coll($c9,$c6,$c9).
% 35.48/35.71 4046 [hyper,3943,3,379] {-} coll($c8,$c6,$c9).
% 35.48/35.71 4048 [hyper,3943,3,2407] {-} coll($c6,$c3,$c9).
% 35.48/35.71 4049 [hyper,3943,3,2386] {-} coll($c6,$c7,$c9).
% 35.48/35.71 4050 [hyper,3943,3,985] {-} coll($c6,$c9,$c9).
% 35.48/35.71 4051 [hyper,3943,3,379] {-} coll($c6,$c8,$c9).
% 35.48/35.71 4152 [hyper,4044,1] {-} coll($c7,$c9,$c6).
% 35.48/35.71 4177 [hyper,4046,1] {-} coll($c8,$c9,$c6).
% 35.48/35.71 4267 [hyper,4048,1] {-} coll($c6,$c9,$c3).
% 35.48/35.71 4286 [hyper,4049,1] {-} coll($c6,$c9,$c7).
% 35.48/35.71 4328 [hyper,4051,1] {-} coll($c6,$c9,$c8).
% 35.48/35.71 4442 [hyper,4152,3,2388] {-} coll($c7,$c6,$c7).
% 35.48/35.71 4471 [hyper,4177,3,380] {-} coll($c8,$c6,$c8).
% 35.48/35.71 4572 [hyper,4267,3,3930] {-} coll($c3,$c6,$c6).
% 35.48/35.71 4585 [hyper,4286,114] {-} coll($c7,$c7,$c6).
% 35.48/35.71 4592 [hyper,4286,54,159] {-} perp($c9,$c8,$c8,$c7).
% 35.48/35.71 4594 [hyper,4286,3,3930] {-} coll($c6,$c7,$c6).
% 35.48/35.71 4621 [hyper,4328,3,3930] {-} coll($c8,$c6,$c6).
% 35.48/35.71 6538 [hyper,3911,5] {-} para($c6,$c9,$c9,$c6).
% 35.48/35.71 6627 [hyper,4592,8] {-} perp($c8,$c7,$c9,$c8).
% 35.48/35.71 6628 [hyper,4592,7] {-} perp($c9,$c8,$c7,$c8).
% 35.48/35.71 6725 [hyper,6538,6,3911] {-} para($c6,$c9,$c6,$c9).
% 35.48/35.71 6742 [hyper,6627,9,4592] {-} para($c9,$c8,$c9,$c8).
% 35.48/35.71 6762 [hyper,6628,8] {-} perp($c7,$c8,$c9,$c8).
% 35.48/35.71 7190 [hyper,6762,9,6628] {-} para($c7,$c8,$c7,$c8).
% 35.48/35.71 12704 [hyper,3679,39] {-} para($c9,$c7,$c9,$c7).
% 35.48/35.71 13830 [hyper,3680,39] {-} para($c4,$c7,$c4,$c7).
% 35.48/35.71 13833 [hyper,13830,67] {-} coll($c4,$c7,$c7).
% 35.48/35.71 13835 [hyper,13830,4] {-} para($c4,$c7,$c7,$c4).
% 35.48/35.71 13836 [hyper,13833,114] {-} coll($c7,$c7,$c4).
% 35.48/35.71 13838 [hyper,13836,114] {-} coll($c4,$c4,$c7).
% 35.48/35.71 13848 [hyper,13836,3,4585] {-} coll($c6,$c4,$c7).
% 35.48/35.71 13850 [hyper,13836,3,1986] {-} coll($c8,$c4,$c7).
% 35.48/35.71 13860 [hyper,13836,3,4585] {-} coll($c4,$c6,$c7).
% 35.48/35.71 13862 [hyper,13836,3,1986] {-} coll($c4,$c8,$c7).
% 35.48/35.71 13868 [hyper,13838,1] {-} coll($c4,$c7,$c4).
% 35.48/35.71 13875 [hyper,13848,1] {-} coll($c6,$c7,$c4).
% 35.48/35.71 13879 [hyper,13850,1] {-} coll($c8,$c7,$c4).
% 35.48/35.71 13884 [hyper,13860,1] {-} coll($c4,$c7,$c6).
% 35.48/35.71 13983 [hyper,13862,1] {-} coll($c4,$c7,$c8).
% 35.48/35.71 14013 [hyper,13875,3,4594] {-} coll($c4,$c6,$c6).
% 35.48/35.71 14055 [hyper,13879,3,1990] {-} coll($c8,$c4,$c8).
% 35.48/35.71 14120 [hyper,13884,3,13868] {-} coll($c4,$c6,$c4).
% 35.48/35.71 14231 [hyper,13983,114] {-} coll($c8,$c8,$c4).
% 35.48/35.71 14401 [hyper,3784,9,3783] {-} para($c7,$c6,$c6,$c7).
% 35.48/35.71 14477 [hyper,3910,43,3943] {-} cyclic($c6,$c6,$c9,$c9).
% 35.48/35.71 14478 [hyper,3910,43,2407] {-} cyclic($c6,$c3,$c9,$c9).
% 35.48/35.71 14480 [hyper,3910,43,985] {-} cyclic($c6,$c9,$c9,$c9).
% 35.48/35.71 14484 [hyper,3910,19] {-} eqangle(A,B,$c9,$c6,A,B,$c9,$c6).
% 35.48/35.71 15350 [hyper,13835,5] {-} para($c7,$c4,$c4,$c7).
% 35.48/35.71 15863 [hyper,14401,5] {-} para($c6,$c7,$c7,$c6).
% 35.48/35.71 15864 [hyper,14477,15] {-} cyclic($c6,$c9,$c6,$c9).
% 35.48/35.71 15868 [hyper,14478,16] {-} cyclic($c3,$c6,$c9,$c9).
% 35.48/35.71 15869 [hyper,14478,15] {-} cyclic($c6,$c9,$c3,$c9).
% 35.48/35.71 15992 [hyper,15350,6,13835] {-} para($c7,$c4,$c7,$c4).
% 35.48/35.71 16188 [hyper,15863,6,14401] {-} para($c6,$c7,$c6,$c7).
% 35.48/35.71 16194 [hyper,15864,14] {-} cyclic($c6,$c9,$c9,$c6).
% 35.48/35.71 16197 [hyper,15868,15] {-} cyclic($c3,$c9,$c6,$c9).
% 35.48/35.71 16200 [hyper,15869,14] {-} cyclic($c6,$c9,$c9,$c3).
% 35.48/35.71 16525 [hyper,16194,123,14480,3910] {-} cong($c6,$c9,$c6,$c9).
% 35.48/35.71 16533 [hyper,16197,16] {-} cyclic($c9,$c3,$c6,$c9).
% 35.48/35.71 16540 [hyper,16200,120] {-} cyclic($c9,$c9,$c3,$c3).
% 35.48/35.71 16544 [hyper,16200,17,16194] {-} cyclic($c9,$c9,$c3,$c6).
% 35.48/35.71 16671 [hyper,16525,68,4050] {-} midp($c6,$c9,$c9).
% 35.48/35.71 16680 [hyper,16671,129,12704] {-} midp($c6,$c7,$c7).
% 35.48/35.71 16681 [hyper,16671,129,6742] {-} midp($c6,$c8,$c8).
% 35.48/35.71 16682 [hyper,16671,129,3875] {-} midp($c6,$c6,$c6).
% 35.48/35.71 16685 [hyper,16671,46,6538,3943] {-} midp($c9,$c9,$c6).
% 35.48/35.71 16694 [hyper,16680,129,15992] {-} midp($c6,$c4,$c4).
% 35.48/35.71 16753 [hyper,16682,64,16681] {-} para($c6,$c8,$c6,$c8).
% 35.48/35.71 16754 [hyper,16682,46,16188,4442] {-} midp($c7,$c6,$c7).
% 35.48/35.71 16755 [hyper,16682,46,6725,4045] {-} midp($c9,$c6,$c9).
% 35.48/35.71 16806 [hyper,16685,69] {-} cong($c9,$c9,$c9,$c6).
% 35.48/35.71 16856 [hyper,16694,64,16682] {-} para($c6,$c4,$c6,$c4).
% 35.48/35.71 16860 [hyper,16694,64,16681] {-} para($c4,$c8,$c4,$c8).
% 35.48/35.71 17012 [hyper,16754,46,15992,14120] {-} midp($c4,$c6,$c4).
% 35.48/35.71 17013 [hyper,16754,46,7190,4471] {-} midp($c8,$c6,$c8).
% 35.48/35.71 17101 [hyper,16755,69] {-} cong($c9,$c6,$c9,$c9).
% 35.48/35.71 17199 [hyper,17012,69] {-} cong($c4,$c6,$c4,$c4).
% 35.48/35.71 17200 [hyper,17012,11] {-} midp($c4,$c4,$c6).
% 35.48/35.71 17306 [hyper,17013,69] {-} cong($c8,$c6,$c8,$c8).
% 35.48/35.71 17307 [hyper,17013,11] {-} midp($c8,$c8,$c6).
% 35.48/35.71 17427 [hyper,17200,69] {-} cong($c4,$c4,$c4,$c6).
% 35.48/35.71 17556 [hyper,17307,69] {-} cong($c8,$c8,$c8,$c6).
% 35.48/35.71 17584 [hyper,16544,120] {-} cyclic($c9,$c3,$c6,$c6).
% 35.48/35.71 17587 [hyper,16544,17,16540] {-} cyclic($c9,$c3,$c6,$c3).
% 35.48/35.71 20084 [hyper,16860,4] {-} para($c4,$c8,$c8,$c4).
% 35.48/35.71 20328 [hyper,17101,25,16806] {-} cong($c9,$c9,$c9,$c9).
% 35.48/35.71 20451 [hyper,17427,25,17199] {-} cong($c4,$c6,$c4,$c6).
% 35.48/35.71 20779 [hyper,17556,25,17306] {-} cong($c8,$c6,$c8,$c6).
% 35.48/35.71 21065 [hyper,17584,17,16533] {-} cyclic($c3,$c6,$c9,$c6).
% 35.48/35.71 21076 [hyper,17587,17,16533] {-} cyclic($c3,$c6,$c9,$c3).
% 35.48/35.71 27199 [hyper,20328,68,985] {-} midp($c9,$c9,$c9).
% 35.48/35.71 27324 [hyper,27199,46,3875,3930] {-} midp($c6,$c9,$c6).
% 35.48/35.71 28431 [hyper,20451,68,14013] {-} midp($c4,$c6,$c6).
% 35.48/35.71 28439 [hyper,28431,129,16856] {-} midp($c4,$c4,$c4).
% 35.48/35.71 28440 [hyper,28431,129,16753] {-} midp($c4,$c8,$c8).
% 35.48/35.71 28645 [hyper,28439,46,16860,14055] {-} midp($c8,$c4,$c8).
% 35.48/35.71 28739 [hyper,28440,46,20084,14231] {-} midp($c8,$c8,$c4).
% 35.48/35.71 29793 [hyper,20779,68,4621] {-} midp($c8,$c6,$c6).
% 35.48/35.71 29914 [hyper,29793,64,28739] {-} para($c6,$c8,$c6,$c4).
% 35.48/35.71 29915 [hyper,29793,64,28645] {-} para($c6,$c4,$c6,$c8).
% 35.48/35.71 52248 [hyper,14484,44,21076,21065,15868] {-} cong($c3,$c6,$c3,$c6).
% 35.48/35.71 52250 [hyper,14484,39] {-} para(A,B,A,B).
% 35.48/35.71 99368 [hyper,52248,68,4572] {-} midp($c3,$c6,$c6).
% 35.48/35.71 99826 [hyper,99368,65,29914,29915] {-} midp($c3,$c8,$c4).
% 35.48/35.71 101414 [hyper,52250,46,27324,2410] {-} midp($c3,$c9,$c3).
% 35.48/35.71 101871 [hyper,101414,64,99826] {-} para($c9,$c8,$c3,$c4).
% 35.48/35.71 101872 [binary,101871.1,113.1] {-} $F.
% 35.48/35.71
% 35.48/35.71 % SZS output end Refutation
% 35.48/35.71 ------------ end of proof -------------
% 35.48/35.71
% 35.48/35.71
% 35.48/35.71 Search stopped by max_proofs option.
% 35.48/35.71
% 35.48/35.71
% 35.48/35.71 Search stopped by max_proofs option.
% 35.48/35.71
% 35.48/35.71 ============ end of search ============
% 35.48/35.71
% 35.48/35.71 That finishes the proof of the theorem.
% 35.48/35.71
% 35.48/35.71 Process 26066 finished Fri Jun 17 20:05:30 2022
%------------------------------------------------------------------------------