TSTP Solution File: GEO559+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO559+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n029.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 06:20:53 EDT 2022
% Result : Theorem 51.32s 51.54s
% Output : Refutation 51.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO559+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.14 % Command : sos-script %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 : Fri Jun 17 23:11:28 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.39 ----- Otter 3.2, August 2001 -----
% 0.13/0.39 The process was started by sandbox on n029.cluster.edu,
% 0.13/0.39 Fri Jun 17 23:11:28 2022
% 0.13/0.39 The command was "./sos". The process ID is 23279.
% 0.13/0.39
% 0.13/0.39 set(prolog_style_variables).
% 0.13/0.39 set(auto).
% 0.13/0.39 dependent: set(auto1).
% 0.13/0.39 dependent: set(process_input).
% 0.13/0.39 dependent: clear(print_kept).
% 0.13/0.39 dependent: clear(print_new_demod).
% 0.13/0.39 dependent: clear(print_back_demod).
% 0.13/0.39 dependent: clear(print_back_sub).
% 0.13/0.39 dependent: set(control_memory).
% 0.13/0.39 dependent: assign(max_mem, 12000).
% 0.13/0.39 dependent: assign(pick_given_ratio, 4).
% 0.13/0.39 dependent: assign(stats_level, 1).
% 0.13/0.39 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.39 dependent: assign(sos_limit, 5000).
% 0.13/0.39 dependent: assign(max_weight, 60).
% 0.13/0.39 clear(print_given).
% 0.13/0.39
% 0.13/0.39 formula_list(usable).
% 0.13/0.39
% 0.13/0.39 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.39
% 0.13/0.39 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.39 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.39 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.39 clauses in usable.
% 0.13/0.39
% 0.13/0.39 dependent: set(knuth_bendix).
% 0.13/0.39 dependent: set(para_from).
% 0.13/0.39 dependent: set(para_into).
% 0.13/0.39 dependent: clear(para_from_right).
% 0.13/0.39 dependent: clear(para_into_right).
% 0.13/0.39 dependent: set(para_from_vars).
% 0.13/0.39 dependent: set(eq_units_both_ways).
% 0.13/0.39 dependent: set(dynamic_demod_all).
% 0.13/0.39 dependent: set(dynamic_demod).
% 0.13/0.39 dependent: set(order_eq).
% 0.13/0.39 dependent: set(back_demod).
% 0.13/0.39 dependent: set(lrpo).
% 0.13/0.39 dependent: set(hyper_res).
% 0.13/0.39 dependent: set(unit_deletion).
% 0.13/0.39 dependent: set(factor).
% 0.13/0.39
% 0.13/0.39 ------------> process usable:
% 0.13/0.39 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).
% 0.13/0.39
% 0.13/0.39 ------------> process sos:
% 0.13/0.39 Following clause subsumed by 165 during input processing: 0 [copy,165,flip.1] {-} A=A.
% 0.13/0.39 165 back subsumes 146.
% 0.13/0.39 165 back subsumes 145.
% 0.13/0.39 165 back subsumes 144.
% 0.13/0.39 165 back subsumes 143.
% 0.13/0.39
% 0.13/0.39 ======= end of input processing =======
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 Failed to model usable list: disabling FINDER
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 -------------- Softie stats --------------
% 0.21/0.46
% 0.21/0.46 UPDATE_STOP: 300
% 0.21/0.46 SFINDER_TIME_LIMIT: 2
% 0.21/0.46 SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.46 number of clauses in intial UL: 154
% 0.21/0.46 number of clauses initially in problem: 161
% 0.21/0.46 percentage of clauses intially in UL: 95
% 0.21/0.46 percentage of distinct symbols occuring in initial UL: 85
% 0.21/0.46 percent of all initial clauses that are short: 100
% 0.21/0.46 absolute distinct symbol count: 42
% 0.21/0.46 distinct predicate count: 12
% 0.21/0.46 distinct function count: 20
% 0.21/0.46 distinct constant count: 10
% 0.21/0.46
% 0.21/0.46 ---------- no more Softie stats ----------
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 =========== start of search ===========
% 6.20/6.43
% 6.20/6.43
% 6.20/6.43 Changing weight limit from 60 to 57.
% 6.20/6.43
% 6.20/6.43 Resetting weight limit to 57 after 225 givens.
% 6.20/6.43
% 7.02/7.27
% 7.02/7.27
% 7.02/7.27 Changing weight limit from 57 to 56.
% 7.02/7.27
% 7.02/7.27 Resetting weight limit to 56 after 230 givens.
% 7.02/7.27
% 9.13/9.33
% 9.13/9.33
% 9.13/9.33 Changing weight limit from 56 to 55.
% 9.13/9.33
% 9.13/9.33 Resetting weight limit to 55 after 240 givens.
% 9.13/9.33
% 11.19/11.43
% 11.19/11.43
% 11.19/11.43 Changing weight limit from 55 to 54.
% 11.19/11.43
% 11.19/11.43 Resetting weight limit to 54 after 260 givens.
% 11.19/11.43
% 12.26/12.48
% 12.26/12.48
% 12.26/12.48 Changing weight limit from 54 to 52.
% 12.26/12.48
% 12.26/12.48 Resetting weight limit to 52 after 275 givens.
% 12.26/12.48
% 13.09/13.37
% 13.09/13.37
% 13.09/13.37 Changing weight limit from 52 to 51.
% 13.09/13.37
% 13.09/13.37 Resetting weight limit to 51 after 280 givens.
% 13.09/13.37
% 16.14/16.34
% 16.14/16.34
% 16.14/16.34 Changing weight limit from 51 to 50.
% 16.14/16.34
% 16.14/16.34 Modelling stopped after 300 given clauses and 0.00 seconds
% 16.14/16.34
% 16.14/16.34
% 16.14/16.34 Resetting weight limit to 50 after 315 givens.
% 16.14/16.34
% 18.80/19.01
% 18.80/19.01
% 18.80/19.01 Changing weight limit from 50 to 49.
% 18.80/19.01
% 18.80/19.01 Resetting weight limit to 49 after 370 givens.
% 18.80/19.01
% 19.72/19.91
% 19.72/19.91
% 19.72/19.91 Changing weight limit from 49 to 47.
% 19.72/19.91
% 19.72/19.91 Resetting weight limit to 47 after 390 givens.
% 19.72/19.91
% 20.16/20.41
% 20.16/20.41
% 20.16/20.41 Changing weight limit from 47 to 46.
% 20.16/20.41
% 20.16/20.41 Resetting weight limit to 46 after 400 givens.
% 20.16/20.41
% 20.70/20.94
% 20.70/20.94
% 20.70/20.94 Changing weight limit from 46 to 45.
% 20.70/20.94
% 20.70/20.94 Resetting weight limit to 45 after 410 givens.
% 20.70/20.94
% 21.42/21.69
% 21.42/21.69
% 21.42/21.69 Changing weight limit from 45 to 35.
% 21.42/21.69
% 21.42/21.69 Resetting weight limit to 35 after 425 givens.
% 21.42/21.69
% 21.93/22.17
% 21.93/22.17
% 21.93/22.17 Changing weight limit from 35 to 34.
% 21.93/22.17
% 21.93/22.17 Resetting weight limit to 34 after 435 givens.
% 21.93/22.17
% 22.23/22.41
% 22.23/22.41
% 22.23/22.41 Changing weight limit from 34 to 31.
% 22.23/22.41
% 22.23/22.41 Resetting weight limit to 31 after 440 givens.
% 22.23/22.41
% 22.60/22.80
% 22.60/22.80
% 22.60/22.80 Changing weight limit from 31 to 30.
% 22.60/22.80
% 22.60/22.80 Resetting weight limit to 30 after 450 givens.
% 22.60/22.80
% 25.31/25.56
% 25.31/25.56
% 25.31/25.56 Changing weight limit from 30 to 29.
% 25.31/25.56
% 25.31/25.56 Resetting weight limit to 29 after 625 givens.
% 25.31/25.56
% 26.11/26.31
% 26.11/26.31
% 26.11/26.31 Changing weight limit from 29 to 26.
% 26.11/26.31
% 26.11/26.31 Resetting weight limit to 26 after 865 givens.
% 26.11/26.31
% 26.11/26.34
% 26.11/26.34
% 26.11/26.34 Changing weight limit from 26 to 21.
% 26.11/26.34
% 26.11/26.34 Resetting weight limit to 21 after 900 givens.
% 26.11/26.34
% 26.11/26.34
% 26.11/26.34
% 26.11/26.34 Changing weight limit from 21 to 18.
% 26.11/26.34
% 26.11/26.34 Resetting weight limit to 18 after 905 givens.
% 26.11/26.34
% 26.40/26.61
% 26.40/26.61
% 26.40/26.61 Changing weight limit from 18 to 14.
% 26.40/26.61
% 26.40/26.61 Resetting weight limit to 14 after 1090 givens.
% 26.40/26.61
% 26.70/26.95
% 26.70/26.95
% 26.70/26.95 Changing weight limit from 14 to 13.
% 26.70/26.95
% 26.70/26.95 Resetting weight limit to 13 after 1140 givens.
% 26.70/26.95
% 26.82/27.02
% 26.82/27.02
% 26.82/27.02 Changing weight limit from 13 to 10.
% 26.82/27.02
% 26.82/27.02 Resetting weight limit to 10 after 1145 givens.
% 26.82/27.02
% 28.02/28.20
% 28.02/28.20
% 28.02/28.20 Changing weight limit from 10 to 9.
% 28.02/28.20
% 28.02/28.20 Resetting weight limit to 9 after 1760 givens.
% 28.02/28.20
% 29.62/29.80
% 29.62/29.80
% 29.62/29.80 Changing weight limit from 9 to 8.
% 29.62/29.80
% 29.62/29.80 Resetting weight limit to 8 after 3055 givens.
% 29.62/29.80
% 30.96/31.21
% 30.96/31.21
% 30.96/31.21 Changing weight limit from 8 to 9.
% 30.96/31.21
% 30.96/31.21 Resetting weight limit to 9 after 4945 givens.
% 30.96/31.21
% 30.96/31.21
% 30.96/31.21
% 30.96/31.21 Changing weight limit from 9 to 10.
% 30.96/31.21
% 30.96/31.21 Resetting weight limit to 10 after 4950 givens.
% 30.96/31.21
% 30.96/31.22
% 30.96/31.22
% 30.96/31.22 Changing weight limit from 10 to 11.
% 30.96/31.22
% 30.96/31.22 Resetting weight limit to 11 after 4955 givens.
% 30.96/31.22
% 31.05/31.23
% 31.05/31.23
% 31.05/31.23 Changing weight limit from 11 to 12.
% 31.05/31.23
% 31.05/31.23 Resetting weight limit to 12 after 4960 givens.
% 31.05/31.23
% 31.05/31.24
% 31.05/31.24
% 31.05/31.24 Changing weight limit from 12 to 13.
% 31.05/31.24
% 31.05/31.24 Resetting weight limit to 13 after 4965 givens.
% 31.05/31.24
% 31.05/31.24
% 31.05/31.24
% 31.05/31.24 Changing weight limit from 13 to 14.
% 31.05/31.24
% 31.05/31.24 Resetting weight limit to 14 after 4970 givens.
% 31.05/31.24
% 31.05/31.27
% 31.05/31.27
% 31.05/31.27 Changing weight limit from 14 to 15.
% 31.05/31.27
% 31.05/31.27 Resetting weight limit to 15 after 5015 givens.
% 31.05/31.27
% 32.02/32.21
% 32.02/32.21
% 32.02/32.21 Changing weight limit from 15 to 14.
% 32.02/32.21
% 32.02/32.21 Resetting weight limit to 14 after 5930 givens.
% 32.02/32.21
% 33.11/33.30
% 33.11/33.30
% 33.11/33.30 Changing weight limit from 14 to 11.
% 33.11/33.30
% 33.11/33.30 Resetting weight limit to 11 after 6670 givens.
% 33.11/33.30
% 33.24/33.48
% 33.24/33.48
% 33.24/33.48 Changing weight limit from 11 to 10.
% 33.24/33.48
% 33.24/33.48 Resetting weight limit to 10 after 6675 givens.
% 33.24/33.48
% 33.42/33.66
% 33.42/33.66
% 33.42/33.66 Changing weight limit from 10 to 9.
% 33.42/33.66
% 33.42/33.66 Resetting weight limit to 9 after 6695 givens.
% 33.42/33.66
% 40.93/41.19
% 40.93/41.19
% 40.93/41.19 Changing weight limit from 9 to 8.
% 40.93/41.19
% 40.93/41.19 Resetting weight limit to 8 after 8400 givens.
% 40.93/41.19
% 45.10/45.29
% 45.10/45.29
% 45.10/45.29 Changing weight limit from 8 to 7.
% 45.10/45.29
% 45.10/45.29 Resetting weight limit to 7 after 9090 givens.
% 45.10/45.29
% 45.55/45.75
% 45.55/45.75
% 45.55/45.75 Changing weight limit from 7 to 5.
% 45.55/45.75
% 45.55/45.75 Resetting weight limit to 5 after 9225 givens.
% 45.55/45.75
% 51.32/51.54
% 51.32/51.54 -- HEY sandbox, WE HAVE A PROOF!! --
% 51.32/51.54
% 51.32/51.54 ----> UNIT CONFLICT at 50.01 sec ----> 133014 [binary,133013.1,113.1] {-} $F.
% 51.32/51.54
% 51.32/51.54 Length of proof is 87. Level of proof is 25.
% 51.32/51.54
% 51.32/51.54 ---------------- PROOF ----------------
% 51.32/51.54 % SZS status Theorem
% 51.32/51.54 % SZS output start Refutation
% 51.32/51.54
% 51.32/51.54 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 51.32/51.54 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 51.32/51.54 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 51.32/51.54 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 51.32/51.54 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 51.32/51.54 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 51.32/51.54 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 51.32/51.54 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 51.32/51.54 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 51.32/51.54 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 51.32/51.54 16 [] {+} -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 51.32/51.54 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 51.32/51.54 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 51.32/51.54 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 51.32/51.54 44 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -cyclic(A,B,C,F)| -eqangle(C,A,C,B,F,D,F,E)|cong(A,B,D,E).
% 51.32/51.54 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 51.32/51.54 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 51.32/51.54 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 51.32/51.54 99 [] {+} -circle(A,B,C,D)|perp($f12(B,C,D,A),B,B,A).
% 51.32/51.54 113 [] {+} -para($c8,$c3,$c4,$c6).
% 51.32/51.54 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 51.32/51.54 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 51.32/51.54 159 [] {-} circle($c7,$c10,$c9,$c8).
% 51.32/51.54 162 [] {-} coll($c4,$c10,$c8).
% 51.32/51.54 164 [] {-} coll($c3,$c9,$c6).
% 51.32/51.54 166 [hyper,159,99] {-} perp($f12($c10,$c9,$c8,$c7),$c10,$c10,$c7).
% 51.32/51.54 184 [hyper,162,2] {-} coll($c10,$c4,$c8).
% 51.32/51.54 185 [hyper,162,1] {-} coll($c4,$c8,$c10).
% 51.32/51.54 199 [hyper,164,2] {-} coll($c9,$c3,$c6).
% 51.32/51.54 200 [hyper,164,1] {-} coll($c3,$c6,$c9).
% 51.32/51.54 244 [hyper,184,114] {-} coll($c8,$c8,$c10).
% 51.32/51.54 258 [hyper,185,114] {-} coll($c10,$c10,$c4).
% 51.32/51.54 286 [hyper,199,114] {-} coll($c6,$c6,$c9).
% 51.32/51.54 317 [hyper,200,114] {-} coll($c9,$c9,$c3).
% 51.32/51.54 358 [hyper,244,114] {-} coll($c10,$c10,$c8).
% 51.32/51.54 442 [hyper,166,8] {-} perp($c10,$c7,$f12($c10,$c9,$c8,$c7),$c10).
% 51.32/51.54 490 [hyper,286,114] {-} coll($c9,$c9,$c6).
% 51.32/51.54 1911 [hyper,442,9,166] {-} para($c10,$c7,$c10,$c7).
% 51.32/51.54 1945 [hyper,1911,67] {-} coll($c10,$c7,$c7).
% 51.32/51.54 1946 [hyper,1911,40] {-} eqangle($c10,$c7,A,B,$c10,$c7,A,B).
% 51.32/51.54 1947 [hyper,1911,4] {-} para($c10,$c7,$c7,$c10).
% 51.32/51.54 2024 [hyper,1945,114] {-} coll($c7,$c7,$c10).
% 51.32/51.54 2039 [hyper,2024,114] {-} coll($c10,$c10,$c7).
% 51.32/51.54 2081 [hyper,2039,3,358] {-} coll($c7,$c8,$c10).
% 51.32/51.54 2274 [hyper,2081,1] {-} coll($c7,$c10,$c8).
% 51.32/51.54 2395 [hyper,2274,54,159] {-} perp($c10,$c9,$c9,$c8).
% 51.32/51.54 3090 [hyper,1947,5] {-} para($c7,$c10,$c10,$c7).
% 51.32/51.54 3139 [hyper,2395,8] {-} perp($c9,$c8,$c10,$c9).
% 51.32/51.54 3195 [hyper,3090,6,1947] {-} para($c7,$c10,$c7,$c10).
% 51.32/51.54 3260 [hyper,3139,9,2395] {-} para($c10,$c9,$c10,$c9).
% 51.32/51.54 3333 [hyper,3195,40] {-} eqangle($c7,$c10,A,B,$c7,$c10,A,B).
% 51.32/51.54 3350 [hyper,3260,67] {-} coll($c10,$c9,$c9).
% 51.32/51.54 3417 [hyper,3350,114] {-} coll($c9,$c9,$c10).
% 51.32/51.54 3433 [hyper,3417,3,490] {-} coll($c6,$c10,$c9).
% 51.32/51.54 3434 [hyper,3417,3,317] {-} coll($c3,$c10,$c9).
% 51.32/51.54 3535 [hyper,3433,1] {-} coll($c6,$c9,$c10).
% 51.32/51.54 3550 [hyper,3434,1] {-} coll($c3,$c9,$c10).
% 51.32/51.54 3850 [hyper,3535,114] {-} coll($c10,$c10,$c6).
% 51.32/51.54 3869 [hyper,3550,114] {-} coll($c10,$c10,$c3).
% 51.32/51.54 13869 [hyper,1946,43,3869] {-} cyclic($c7,$c3,$c10,$c10).
% 51.32/51.54 13870 [hyper,1946,43,3850] {-} cyclic($c7,$c6,$c10,$c10).
% 51.32/51.54 13872 [hyper,1946,43,2039] {-} cyclic($c7,$c7,$c10,$c10).
% 51.32/51.54 13874 [hyper,1946,43,358] {-} cyclic($c7,$c8,$c10,$c10).
% 51.32/51.54 13875 [hyper,1946,43,258] {-} cyclic($c7,$c4,$c10,$c10).
% 51.32/51.54 15713 [hyper,13869,16] {-} cyclic($c3,$c7,$c10,$c10).
% 51.32/51.54 15714 [hyper,13869,15] {-} cyclic($c7,$c10,$c3,$c10).
% 51.32/51.54 15719 [hyper,13870,16] {-} cyclic($c6,$c7,$c10,$c10).
% 51.32/51.54 15720 [hyper,13870,15] {-} cyclic($c7,$c10,$c6,$c10).
% 51.32/51.54 15724 [hyper,13872,15] {-} cyclic($c7,$c10,$c7,$c10).
% 51.32/51.54 15748 [hyper,13874,16] {-} cyclic($c8,$c7,$c10,$c10).
% 51.32/51.54 15749 [hyper,13874,15] {-} cyclic($c7,$c10,$c8,$c10).
% 51.32/51.54 15751 [hyper,13875,16] {-} cyclic($c4,$c7,$c10,$c10).
% 51.32/51.54 15752 [hyper,13875,15] {-} cyclic($c7,$c10,$c4,$c10).
% 51.32/51.54 16606 [hyper,15713,15] {-} cyclic($c3,$c10,$c7,$c10).
% 51.32/51.54 16609 [hyper,15714,14] {-} cyclic($c7,$c10,$c10,$c3).
% 51.32/51.54 16628 [hyper,15719,15] {-} cyclic($c6,$c10,$c7,$c10).
% 51.32/51.54 16631 [hyper,15720,14] {-} cyclic($c7,$c10,$c10,$c6).
% 51.32/51.54 16656 [hyper,15724,14] {-} cyclic($c7,$c10,$c10,$c7).
% 51.32/51.54 16664 [hyper,15748,15] {-} cyclic($c8,$c10,$c7,$c10).
% 51.32/51.54 16667 [hyper,15749,14] {-} cyclic($c7,$c10,$c10,$c8).
% 51.32/51.54 16673 [hyper,15751,15] {-} cyclic($c4,$c10,$c7,$c10).
% 51.32/51.54 16676 [hyper,15752,14] {-} cyclic($c7,$c10,$c10,$c4).
% 51.32/51.54 17959 [hyper,16606,16] {-} cyclic($c10,$c3,$c7,$c10).
% 51.32/51.54 17966 [hyper,16609,120] {-} cyclic($c10,$c10,$c3,$c3).
% 51.32/51.54 17974 [hyper,16628,16] {-} cyclic($c10,$c6,$c7,$c10).
% 51.32/51.54 17981 [hyper,16631,120] {-} cyclic($c10,$c10,$c6,$c6).
% 51.32/51.54 18030 [hyper,16656,17,16631] {-} cyclic($c10,$c10,$c6,$c7).
% 51.32/51.54 18031 [hyper,16656,17,16609] {-} cyclic($c10,$c10,$c3,$c7).
% 51.32/51.54 18058 [hyper,16664,16] {-} cyclic($c10,$c8,$c7,$c10).
% 51.32/51.54 18062 [hyper,16667,120] {-} cyclic($c10,$c10,$c8,$c8).
% 51.32/51.54 18070 [hyper,16667,17,16656] {-} cyclic($c10,$c10,$c8,$c7).
% 51.32/51.54 18096 [hyper,16673,16] {-} cyclic($c10,$c4,$c7,$c10).
% 51.32/51.54 18100 [hyper,16676,120] {-} cyclic($c10,$c10,$c4,$c4).
% 51.32/51.54 18110 [hyper,16676,17,16656] {-} cyclic($c10,$c10,$c4,$c7).
% 51.32/51.54 20183 [hyper,18030,120] {-} cyclic($c10,$c6,$c7,$c7).
% 51.32/51.54 20192 [hyper,18030,17,17981] {-} cyclic($c10,$c6,$c7,$c6).
% 51.32/51.54 20208 [hyper,18031,120] {-} cyclic($c10,$c3,$c7,$c7).
% 51.32/51.54 20217 [hyper,18031,17,17966] {-} cyclic($c10,$c3,$c7,$c3).
% 51.32/51.54 20371 [hyper,18070,120] {-} cyclic($c10,$c8,$c7,$c7).
% 51.32/51.54 20374 [hyper,18070,17,18062] {-} cyclic($c10,$c8,$c7,$c8).
% 51.32/51.54 20557 [hyper,18110,120] {-} cyclic($c10,$c4,$c7,$c7).
% 51.32/51.54 20562 [hyper,18110,17,18100] {-} cyclic($c10,$c4,$c7,$c4).
% 51.32/51.54 33455 [hyper,3333,44,18058,20374,20371] {-} cong($c10,$c8,$c10,$c8).
% 51.32/51.54 33457 [hyper,3333,44,17974,20192,20183] {-} cong($c10,$c6,$c10,$c6).
% 51.32/51.54 33458 [hyper,3333,44,17959,20217,20208] {-} cong($c10,$c3,$c10,$c3).
% 51.32/51.54 34989 [hyper,20562,44,18096,20557,3333] {-} cong($c10,$c4,$c10,$c4).
% 51.32/51.54 49569 [hyper,33458,57,33455] {-} perp($c10,$c10,$c8,$c3).
% 51.32/51.54 53571 [hyper,34989,57,33457] {-} perp($c10,$c10,$c4,$c6).
% 51.32/51.54 115586 [hyper,49569,8] {-} perp($c8,$c3,$c10,$c10).
% 51.32/51.54 133013 [hyper,115586,9,53571] {-} para($c8,$c3,$c4,$c6).
% 51.32/51.54 133014 [binary,133013.1,113.1] {-} $F.
% 51.32/51.54
% 51.32/51.54 % SZS output end Refutation
% 51.32/51.54 ------------ end of proof -------------
% 51.32/51.54
% 51.32/51.54
% 51.32/51.54 Search stopped by max_proofs option.
% 51.32/51.54
% 51.32/51.54
% 51.32/51.54 Search stopped by max_proofs option.
% 51.32/51.54
% 51.32/51.54 ============ end of search ============
% 51.32/51.54
% 51.32/51.54 That finishes the proof of the theorem.
% 51.32/51.54
% 51.32/51.54 Process 23279 finished Fri Jun 17 23:12:19 2022
%------------------------------------------------------------------------------