TSTP Solution File: GEO586+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO586+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n016.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 06:21:01 EDT 2022
% Result : Theorem 43.55s 43.73s
% Output : Refutation 43.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO586+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.14 % Command : sos-script %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 12:24:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.38 ----- Otter 3.2, August 2001 -----
% 0.13/0.38 The process was started by sandbox2 on n016.cluster.edu,
% 0.13/0.38 Sat Jun 18 12:24:22 2022
% 0.13/0.38 The command was "./sos". The process ID is 23110.
% 0.13/0.38
% 0.13/0.38 set(prolog_style_variables).
% 0.13/0.38 set(auto).
% 0.13/0.38 dependent: set(auto1).
% 0.13/0.38 dependent: set(process_input).
% 0.13/0.38 dependent: clear(print_kept).
% 0.13/0.38 dependent: clear(print_new_demod).
% 0.13/0.38 dependent: clear(print_back_demod).
% 0.13/0.38 dependent: clear(print_back_sub).
% 0.13/0.38 dependent: set(control_memory).
% 0.13/0.38 dependent: assign(max_mem, 12000).
% 0.13/0.38 dependent: assign(pick_given_ratio, 4).
% 0.13/0.38 dependent: assign(stats_level, 1).
% 0.13/0.38 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.38 dependent: assign(sos_limit, 5000).
% 0.13/0.38 dependent: assign(max_weight, 60).
% 0.13/0.38 clear(print_given).
% 0.13/0.38
% 0.13/0.38 formula_list(usable).
% 0.13/0.38
% 0.13/0.38 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.38
% 0.13/0.38 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.38 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.38 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.38 clauses in usable.
% 0.13/0.38
% 0.13/0.38 dependent: set(knuth_bendix).
% 0.13/0.38 dependent: set(para_from).
% 0.13/0.38 dependent: set(para_into).
% 0.13/0.38 dependent: clear(para_from_right).
% 0.13/0.38 dependent: clear(para_into_right).
% 0.13/0.38 dependent: set(para_from_vars).
% 0.13/0.38 dependent: set(eq_units_both_ways).
% 0.13/0.38 dependent: set(dynamic_demod_all).
% 0.13/0.38 dependent: set(dynamic_demod).
% 0.13/0.38 dependent: set(order_eq).
% 0.13/0.38 dependent: set(back_demod).
% 0.13/0.38 dependent: set(lrpo).
% 0.13/0.38 dependent: set(hyper_res).
% 0.13/0.38 dependent: set(unit_deletion).
% 0.13/0.38 dependent: set(factor).
% 0.13/0.38
% 0.13/0.38 ------------> process usable:
% 0.13/0.38 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).
% 0.13/0.38
% 0.13/0.38 ------------> process sos:
% 0.13/0.38 Following clause subsumed by 164 during input processing: 0 [copy,164,flip.1] {-} A=A.
% 0.13/0.38 164 back subsumes 146.
% 0.13/0.38 164 back subsumes 145.
% 0.13/0.38 164 back subsumes 144.
% 0.13/0.38 164 back subsumes 143.
% 0.13/0.38
% 0.13/0.38 ======= end of input processing =======
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 Failed to model usable list: disabling FINDER
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 -------------- Softie stats --------------
% 0.20/0.45
% 0.20/0.45 UPDATE_STOP: 300
% 0.20/0.45 SFINDER_TIME_LIMIT: 2
% 0.20/0.45 SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.45 number of clauses in intial UL: 154
% 0.20/0.45 number of clauses initially in problem: 160
% 0.20/0.45 percentage of clauses intially in UL: 96
% 0.20/0.45 percentage of distinct symbols occuring in initial UL: 90
% 0.20/0.45 percent of all initial clauses that are short: 100
% 0.20/0.45 absolute distinct symbol count: 40
% 0.20/0.45 distinct predicate count: 12
% 0.20/0.45 distinct function count: 20
% 0.20/0.45 distinct constant count: 8
% 0.20/0.45
% 0.20/0.45 ---------- no more Softie stats ----------
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 =========== start of search ===========
% 8.13/8.31
% 8.13/8.31
% 8.13/8.31 Changing weight limit from 60 to 56.
% 8.13/8.31
% 8.13/8.31 Resetting weight limit to 56 after 240 givens.
% 8.13/8.31
% 11.26/11.48
% 11.26/11.48
% 11.26/11.48 Changing weight limit from 56 to 55.
% 11.26/11.48
% 11.26/11.48 Resetting weight limit to 55 after 260 givens.
% 11.26/11.48
% 13.95/14.13
% 13.95/14.13
% 13.95/14.13 Changing weight limit from 55 to 54.
% 13.95/14.13
% 13.95/14.13 Resetting weight limit to 54 after 280 givens.
% 13.95/14.13
% 15.52/15.70
% 15.52/15.70
% 15.52/15.70 Changing weight limit from 54 to 51.
% 15.52/15.70
% 15.52/15.70 Resetting weight limit to 51 after 285 givens.
% 15.52/15.70
% 18.37/18.54
% 18.37/18.54
% 18.37/18.54 Changing weight limit from 51 to 50.
% 18.37/18.54
% 18.37/18.54 Resetting weight limit to 50 after 295 givens.
% 18.37/18.54
% 21.03/21.22
% 21.03/21.22
% 21.03/21.22 Changing weight limit from 50 to 49.
% 21.03/21.22
% 21.03/21.22 Modelling stopped after 300 given clauses and 0.00 seconds
% 21.03/21.22
% 21.03/21.22
% 21.03/21.22 Resetting weight limit to 49 after 310 givens.
% 21.03/21.22
% 21.85/22.04
% 21.85/22.04
% 21.85/22.04 Changing weight limit from 49 to 45.
% 21.85/22.04
% 21.85/22.04 Resetting weight limit to 45 after 315 givens.
% 21.85/22.04
% 22.44/22.61
% 22.44/22.61
% 22.44/22.61 Changing weight limit from 45 to 35.
% 22.44/22.61
% 22.44/22.61 Resetting weight limit to 35 after 320 givens.
% 22.44/22.61
% 22.64/22.82
% 22.64/22.82
% 22.64/22.82 Changing weight limit from 35 to 34.
% 22.64/22.82
% 22.64/22.82 Resetting weight limit to 34 after 325 givens.
% 22.64/22.82
% 22.82/23.03
% 22.82/23.03
% 22.82/23.03 Changing weight limit from 34 to 33.
% 22.82/23.03
% 22.82/23.03 Resetting weight limit to 33 after 330 givens.
% 22.82/23.03
% 22.96/23.14
% 22.96/23.14
% 22.96/23.14 Changing weight limit from 33 to 31.
% 22.96/23.14
% 22.96/23.14 Resetting weight limit to 31 after 345 givens.
% 22.96/23.14
% 23.05/23.23
% 23.05/23.23
% 23.05/23.23 Changing weight limit from 31 to 30.
% 23.05/23.23
% 23.05/23.23 Resetting weight limit to 30 after 395 givens.
% 23.05/23.23
% 24.22/24.39
% 24.22/24.39
% 24.22/24.39 Changing weight limit from 30 to 29.
% 24.22/24.39
% 24.22/24.39 Resetting weight limit to 29 after 615 givens.
% 24.22/24.39
% 24.84/25.03
% 24.84/25.03
% 24.84/25.03 Changing weight limit from 29 to 26.
% 24.84/25.03
% 24.84/25.03 Resetting weight limit to 26 after 975 givens.
% 24.84/25.03
% 24.86/25.09
% 24.86/25.09
% 24.86/25.09 Changing weight limit from 26 to 18.
% 24.86/25.09
% 24.86/25.09 Resetting weight limit to 18 after 1020 givens.
% 24.86/25.09
% 25.41/25.58
% 25.41/25.58
% 25.41/25.58 Changing weight limit from 18 to 14.
% 25.41/25.58
% 25.41/25.58 Resetting weight limit to 14 after 1225 givens.
% 25.41/25.58
% 25.91/26.14
% 25.91/26.14
% 25.91/26.14 Changing weight limit from 14 to 12.
% 25.91/26.14
% 25.91/26.14 Resetting weight limit to 12 after 1260 givens.
% 25.91/26.14
% 25.91/26.17
% 25.91/26.17
% 25.91/26.17 Changing weight limit from 12 to 11.
% 25.91/26.17
% 25.91/26.17 Resetting weight limit to 11 after 1265 givens.
% 25.91/26.17
% 26.06/26.27
% 26.06/26.27
% 26.06/26.27 Changing weight limit from 11 to 10.
% 26.06/26.27
% 26.06/26.27 Resetting weight limit to 10 after 1340 givens.
% 26.06/26.27
% 27.34/27.55
% 27.34/27.55
% 27.34/27.55 Changing weight limit from 10 to 9.
% 27.34/27.55
% 27.34/27.55 Resetting weight limit to 9 after 1915 givens.
% 27.34/27.55
% 43.46/43.70
% 43.46/43.70
% 43.46/43.70 Changing weight limit from 9 to 8.
% 43.46/43.70
% 43.46/43.70 Resetting weight limit to 8 after 9185 givens.
% 43.46/43.70
% 43.55/43.73
% 43.55/43.73 -- HEY sandbox2, WE HAVE A PROOF!! --
% 43.55/43.73
% 43.55/43.73 ----> UNIT CONFLICT at 42.64 sec ----> 173406 [binary,173405.1,113.1] {-} $F.
% 43.55/43.73
% 43.55/43.73 Length of proof is 151. Level of proof is 24.
% 43.55/43.73
% 43.55/43.73 ---------------- PROOF ----------------
% 43.55/43.73 % SZS status Theorem
% 43.55/43.73 % SZS output start Refutation
% 43.55/43.73
% 43.55/43.73 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 43.55/43.73 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 43.55/43.73 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 43.55/43.73 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 43.55/43.73 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 43.55/43.73 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 43.55/43.73 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 43.55/43.73 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 43.55/43.73 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 43.55/43.73 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 43.55/43.73 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 43.55/43.73 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 43.55/43.73 16 [] {+} -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 43.55/43.73 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 43.55/43.73 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 43.55/43.73 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 43.55/43.73 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 43.55/43.73 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).
% 43.55/43.73 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 43.55/43.73 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 43.55/43.73 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 43.55/43.73 58 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)| -cyclic(A,C,B,D)|perp(B,A,A,D).
% 43.55/43.73 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 43.55/43.73 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 43.55/43.73 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 43.55/43.73 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 43.55/43.73 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 43.55/43.73 99 [] {+} -circle(A,B,C,D)|perp($f12(B,C,D,A),B,B,A).
% 43.55/43.73 113 [] {+} -perp($c2,$c3,$c6,$c4).
% 43.55/43.73 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 43.55/43.73 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 43.55/43.73 123 [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).
% 43.55/43.73 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 43.55/43.73 159 [] {-} circle($c5,$c8,$c7,$c6).
% 43.55/43.73 161 [] {-} coll($c3,$c8,$c6).
% 43.55/43.73 162 [] {-} coll($c3,$c7,$c4).
% 43.55/43.73 163 [] {-} circle($c2,$c8,$c7,$c3).
% 43.55/43.73 165 [hyper,159,99] {-} perp($f12($c8,$c7,$c6,$c5),$c8,$c8,$c5).
% 43.55/43.73 182 [hyper,161,114] {-} coll($c6,$c6,$c3).
% 43.55/43.73 183 [hyper,161,2] {-} coll($c8,$c3,$c6).
% 43.55/43.73 184 [hyper,161,1] {-} coll($c3,$c6,$c8).
% 43.55/43.73 197 [hyper,162,114] {-} coll($c4,$c4,$c3).
% 43.55/43.73 198 [hyper,162,2] {-} coll($c7,$c3,$c4).
% 43.55/43.73 199 [hyper,162,1] {-} coll($c3,$c4,$c7).
% 43.55/43.73 212 [hyper,182,114] {-} coll($c3,$c3,$c6).
% 43.55/43.73 243 [hyper,183,114] {-} coll($c6,$c6,$c8).
% 43.55/43.73 244 [hyper,183,1] {-} coll($c8,$c6,$c3).
% 43.55/43.73 257 [hyper,184,114] {-} coll($c8,$c8,$c3).
% 43.55/43.73 271 [hyper,197,114] {-} coll($c3,$c3,$c4).
% 43.55/43.73 286 [hyper,198,1] {-} coll($c7,$c4,$c3).
% 43.55/43.73 299 [hyper,163,99] {-} perp($f12($c8,$c7,$c3,$c2),$c8,$c8,$c2).
% 43.55/43.73 316 [hyper,199,114] {-} coll($c7,$c7,$c3).
% 43.55/43.73 330 [hyper,212,1] {-} coll($c3,$c6,$c3).
% 43.55/43.73 357 [hyper,243,114] {-} coll($c8,$c8,$c6).
% 43.55/43.73 371 [hyper,165,8] {-} perp($c8,$c5,$f12($c8,$c7,$c6,$c5),$c8).
% 43.55/43.73 405 [hyper,244,114] {-} coll($c3,$c3,$c8).
% 43.55/43.73 406 [hyper,244,2] {-} coll($c6,$c8,$c3).
% 43.55/43.73 419 [hyper,257,1] {-} coll($c8,$c3,$c8).
% 43.55/43.73 588 [hyper,286,114] {-} coll($c3,$c3,$c7).
% 43.55/43.73 602 [hyper,316,1] {-} coll($c7,$c3,$c7).
% 43.55/43.73 730 [hyper,330,3,184] {-} coll($c3,$c8,$c3).
% 43.55/43.73 893 [hyper,405,3,271] {-} coll($c4,$c8,$c3).
% 43.55/43.73 1019 [hyper,419,114] {-} coll($c8,$c8,$c8).
% 43.55/43.73 1298 [hyper,588,3,405] {-} coll($c7,$c8,$c3).
% 43.55/43.73 1571 [hyper,893,1] {-} coll($c4,$c3,$c8).
% 43.55/43.73 1923 [hyper,1298,1] {-} coll($c7,$c3,$c8).
% 43.55/43.73 2085 [hyper,1571,114] {-} coll($c8,$c8,$c4).
% 43.55/43.73 2486 [hyper,1923,114] {-} coll($c8,$c8,$c7).
% 43.55/43.73 2487 [hyper,1923,3,602] {-} coll($c7,$c8,$c7).
% 43.55/43.73 3607 [hyper,299,8] {-} perp($c8,$c2,$f12($c8,$c7,$c3,$c2),$c8).
% 43.55/43.73 3699 [hyper,371,9,165] {-} para($c8,$c5,$c8,$c5).
% 43.55/43.73 3733 [hyper,3699,67] {-} coll($c8,$c5,$c5).
% 43.55/43.73 3734 [hyper,3699,40] {-} eqangle($c8,$c5,A,B,$c8,$c5,A,B).
% 43.55/43.73 3735 [hyper,3699,4] {-} para($c8,$c5,$c5,$c8).
% 43.55/43.73 3752 [hyper,3733,114] {-} coll($c5,$c5,$c8).
% 43.55/43.73 3754 [hyper,3733,2] {-} coll($c5,$c8,$c5).
% 43.55/43.73 3767 [hyper,3752,114] {-} coll($c8,$c8,$c5).
% 43.55/43.73 3863 [hyper,3767,3,2486] {-} coll($c7,$c5,$c8).
% 43.55/43.73 3865 [hyper,3767,3,1019] {-} coll($c8,$c5,$c8).
% 43.55/43.73 3866 [hyper,3767,3,357] {-} coll($c6,$c5,$c8).
% 43.55/43.73 3867 [hyper,3767,3,257] {-} coll($c3,$c5,$c8).
% 43.55/43.73 3870 [hyper,3767,3,1019] {-} coll($c5,$c8,$c8).
% 43.55/43.73 3871 [hyper,3767,3,357] {-} coll($c5,$c6,$c8).
% 43.55/43.73 3872 [hyper,3767,3,257] {-} coll($c5,$c3,$c8).
% 43.55/43.73 3901 [hyper,3863,1] {-} coll($c7,$c8,$c5).
% 43.55/43.73 3995 [hyper,3866,1] {-} coll($c6,$c8,$c5).
% 43.55/43.73 4008 [hyper,3867,1] {-} coll($c3,$c8,$c5).
% 43.55/43.73 4138 [hyper,3871,1] {-} coll($c5,$c8,$c6).
% 43.55/43.73 4203 [hyper,3872,1] {-} coll($c5,$c8,$c3).
% 43.55/43.73 4221 [hyper,3901,3,2487] {-} coll($c7,$c5,$c7).
% 43.55/43.73 4278 [hyper,3995,3,406] {-} coll($c3,$c5,$c6).
% 43.55/43.73 4353 [hyper,4008,3,730] {-} coll($c3,$c5,$c3).
% 43.55/43.73 4417 [hyper,4138,54,159] {-} perp($c8,$c7,$c7,$c6).
% 43.55/43.73 4423 [hyper,4138,3,3754] {-} coll($c6,$c5,$c5).
% 43.55/43.73 4496 [hyper,4203,3,3754] {-} coll($c3,$c5,$c5).
% 43.55/43.73 6358 [hyper,3735,5] {-} para($c5,$c8,$c8,$c5).
% 43.55/43.73 6447 [hyper,4417,8] {-} perp($c7,$c6,$c8,$c7).
% 43.55/43.73 6545 [hyper,6358,6,3735] {-} para($c5,$c8,$c5,$c8).
% 43.55/43.73 6562 [hyper,6447,9,4417] {-} para($c8,$c7,$c8,$c7).
% 43.55/43.73 6563 [hyper,6447,9,4417] {-} para($c7,$c6,$c7,$c6).
% 43.55/43.73 6868 [hyper,6563,40] {-} eqangle($c7,$c6,A,B,$c7,$c6,A,B).
% 43.55/43.73 12843 [hyper,3607,9,299] {-} para($c8,$c2,$c8,$c2).
% 43.55/43.73 12845 [hyper,12843,67] {-} coll($c8,$c2,$c2).
% 43.55/43.73 12848 [hyper,12845,114] {-} coll($c2,$c2,$c8).
% 43.55/43.73 12852 [hyper,12845,2] {-} coll($c2,$c8,$c2).
% 43.55/43.73 12853 [hyper,12848,114] {-} coll($c8,$c8,$c2).
% 43.55/43.73 12870 [hyper,12853,3,3767] {-} coll($c5,$c2,$c8).
% 43.55/43.73 12880 [hyper,12853,3,3767] {-} coll($c2,$c5,$c8).
% 43.55/43.73 12885 [hyper,12853,3,257] {-} coll($c2,$c3,$c8).
% 43.55/43.73 12892 [hyper,12870,1] {-} coll($c5,$c8,$c2).
% 43.55/43.73 12950 [hyper,12880,1] {-} coll($c2,$c8,$c5).
% 43.55/43.73 13023 [hyper,12885,1] {-} coll($c2,$c8,$c3).
% 43.55/43.73 13051 [hyper,12892,3,3754] {-} coll($c2,$c5,$c5).
% 43.55/43.73 13085 [hyper,3734,43,3767] {-} cyclic($c5,$c5,$c8,$c8).
% 43.55/43.73 13086 [hyper,3734,43,2486] {-} cyclic($c5,$c7,$c8,$c8).
% 43.55/43.73 13087 [hyper,3734,43,2085] {-} cyclic($c5,$c4,$c8,$c8).
% 43.55/43.73 13088 [hyper,3734,43,1019] {-} cyclic($c5,$c8,$c8,$c8).
% 43.55/43.73 13089 [hyper,3734,43,357] {-} cyclic($c5,$c6,$c8,$c8).
% 43.55/43.73 13267 [hyper,12950,3,12852] {-} coll($c2,$c5,$c2).
% 43.55/43.73 13409 [hyper,13023,54,163] {-} perp($c8,$c7,$c7,$c3).
% 43.55/43.73 14302 [hyper,13085,15] {-} cyclic($c5,$c8,$c5,$c8).
% 43.55/43.73 14305 [hyper,13086,15] {-} cyclic($c5,$c8,$c7,$c8).
% 43.55/43.73 14331 [hyper,13087,15] {-} cyclic($c5,$c8,$c4,$c8).
% 43.55/43.73 14334 [hyper,13089,120] {-} cyclic($c6,$c8,$c8,$c8).
% 43.55/43.73 14336 [hyper,13089,15] {-} cyclic($c5,$c8,$c6,$c8).
% 43.55/43.73 14569 [hyper,13409,9,6447] {-} para($c7,$c6,$c7,$c3).
% 43.55/43.73 14570 [hyper,13409,8] {-} perp($c7,$c3,$c8,$c7).
% 43.55/43.73 14687 [hyper,14302,14] {-} cyclic($c5,$c8,$c8,$c5).
% 43.55/43.73 14693 [hyper,14305,14] {-} cyclic($c5,$c8,$c8,$c7).
% 43.55/43.73 14699 [hyper,14331,14] {-} cyclic($c5,$c8,$c8,$c4).
% 43.55/43.73 14705 [hyper,14334,16] {-} cyclic($c8,$c6,$c8,$c8).
% 43.55/43.73 14711 [hyper,14336,14] {-} cyclic($c5,$c8,$c8,$c6).
% 43.55/43.73 15401 [hyper,14569,5] {-} para($c7,$c3,$c7,$c6).
% 43.55/43.73 15403 [hyper,14570,9,13409] {-} para($c7,$c3,$c7,$c3).
% 43.55/43.73 15529 [hyper,14687,123,13088,3734] {-} cong($c5,$c8,$c5,$c8).
% 43.55/43.73 15576 [hyper,14705,15] {-} cyclic($c8,$c8,$c6,$c8).
% 43.55/43.73 15584 [hyper,14711,120] {-} cyclic($c8,$c8,$c6,$c6).
% 43.55/43.73 15591 [hyper,14711,17,14699] {-} cyclic($c8,$c8,$c6,$c4).
% 43.55/43.73 15592 [hyper,14711,17,14693] {-} cyclic($c8,$c8,$c6,$c7).
% 43.55/43.73 17393 [hyper,15529,68,3870] {-} midp($c5,$c8,$c8).
% 43.55/43.73 17403 [hyper,17393,129,6562] {-} midp($c5,$c7,$c7).
% 43.55/43.73 17404 [hyper,17393,129,3699] {-} midp($c5,$c5,$c5).
% 43.55/43.73 17407 [hyper,17393,46,6358,3767] {-} midp($c8,$c8,$c5).
% 43.55/43.73 17471 [hyper,17403,65,15401,14569] {-} midp($c5,$c3,$c6).
% 43.55/43.73 17508 [hyper,17404,46,6545,3865] {-} midp($c8,$c5,$c8).
% 43.55/43.73 17559 [hyper,17407,69] {-} cong($c8,$c8,$c8,$c5).
% 43.55/43.73 17762 [hyper,17471,64,17393] {-} para($c8,$c3,$c8,$c6).
% 43.55/43.73 17964 [hyper,17508,69] {-} cong($c8,$c5,$c8,$c8).
% 43.55/43.73 17967 [hyper,17508,46,12843,13267] {-} midp($c2,$c5,$c2).
% 43.55/43.73 17968 [hyper,17508,46,6562,4221] {-} midp($c7,$c5,$c7).
% 43.55/43.73 18077 [hyper,17967,69] {-} cong($c2,$c5,$c2,$c2).
% 43.55/43.73 18078 [hyper,17967,11] {-} midp($c2,$c2,$c5).
% 43.55/43.73 18195 [hyper,17968,46,15403,4353] {-} midp($c3,$c5,$c3).
% 43.55/43.73 18196 [hyper,17968,46,15401,4278] {-} midp($c3,$c5,$c6).
% 43.55/43.73 18326 [hyper,18078,69] {-} cong($c2,$c2,$c2,$c5).
% 43.55/43.73 18464 [hyper,18195,69] {-} cong($c3,$c5,$c3,$c3).
% 43.55/43.73 18465 [hyper,18195,11] {-} midp($c3,$c3,$c5).
% 43.55/43.73 18632 [hyper,18196,11] {-} midp($c3,$c6,$c5).
% 43.55/43.73 19337 [hyper,18465,69] {-} cong($c3,$c3,$c3,$c5).
% 43.55/43.73 19539 [hyper,18632,64,18465] {-} para($c3,$c6,$c5,$c5).
% 43.55/43.73 20171 [hyper,15584,17,15576] {-} cyclic($c8,$c6,$c6,$c8).
% 43.55/43.73 20225 [hyper,15591,120] {-} cyclic($c8,$c6,$c4,$c4).
% 43.55/43.73 20227 [hyper,15591,17,15584] {-} cyclic($c8,$c6,$c6,$c4).
% 43.55/43.73 20229 [hyper,15591,17,15584] {-} cyclic($c8,$c6,$c4,$c6).
% 43.55/43.73 20233 [hyper,15592,17,15591] {-} cyclic($c8,$c6,$c4,$c7).
% 43.55/43.73 27510 [hyper,17964,25,17559] {-} cong($c8,$c8,$c8,$c8).
% 43.55/43.73 27636 [hyper,18326,25,18077] {-} cong($c2,$c5,$c2,$c5).
% 43.55/43.73 28334 [hyper,19337,25,18464] {-} cong($c3,$c5,$c3,$c5).
% 43.55/43.73 30794 [hyper,20227,17,20171] {-} cyclic($c6,$c6,$c8,$c4).
% 43.55/43.73 30824 [hyper,20233,120] {-} cyclic($c6,$c4,$c7,$c7).
% 43.55/43.73 30830 [hyper,20233,17,20229] {-} cyclic($c6,$c4,$c7,$c6).
% 43.55/43.73 30831 [hyper,20233,17,20225] {-} cyclic($c6,$c4,$c7,$c4).
% 43.55/43.73 34506 [hyper,27510,68,1019] {-} midp($c8,$c8,$c8).
% 43.55/43.73 34564 [hyper,34506,46,17762,161] {-} midp($c3,$c8,$c6).
% 43.55/43.73 36126 [hyper,27636,68,13051] {-} midp($c2,$c5,$c5).
% 43.55/43.73 36135 [hyper,36126,129,6545] {-} midp($c2,$c8,$c8).
% 43.55/43.73 36799 [hyper,36135,45,34564] {-} para($c2,$c3,$c8,$c6).
% 43.55/43.73 42503 [hyper,28334,68,4496] {-} midp($c3,$c5,$c5).
% 43.55/43.73 42728 [hyper,42503,46,19539,4423] {-} midp($c6,$c5,$c5).
% 43.55/43.73 44297 [hyper,42728,129,6545] {-} midp($c6,$c8,$c8).
% 43.55/43.73 49629 [hyper,44297,69] {-} cong($c6,$c8,$c6,$c8).
% 43.55/43.73 50989 [hyper,30831,44,30830,30824,6868] {-} cong($c6,$c4,$c6,$c4).
% 43.55/43.73 104760 [hyper,50989,58,49629,30794] {-} perp($c8,$c6,$c6,$c4).
% 43.55/43.73 173405 [hyper,104760,10,36799] {-} perp($c2,$c3,$c6,$c4).
% 43.55/43.73 173406 [binary,173405.1,113.1] {-} $F.
% 43.55/43.73
% 43.55/43.73 % SZS output end Refutation
% 43.55/43.73 ------------ end of proof -------------
% 43.55/43.73
% 43.55/43.73
% 43.55/43.73 Search stopped by max_proofs option.
% 43.55/43.73
% 43.55/43.73
% 43.55/43.73 Search stopped by max_proofs option.
% 43.55/43.73
% 43.55/43.73 ============ end of search ============
% 43.55/43.73
% 43.55/43.73 That finishes the proof of the theorem.
% 43.55/43.73
% 43.55/43.73 Process 23110 finished Sat Jun 18 12:25:05 2022
%------------------------------------------------------------------------------