TSTP Solution File: GEO623+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO623+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n003.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 06:21:12 EDT 2022
% Result : Theorem 55.61s 55.80s
% Output : Refutation 55.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO623+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 01:19:13 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 n003.cluster.edu,
% 0.12/0.37 Sat Jun 18 01:19:13 2022
% 0.12/0.37 The command was "./sos". The process ID is 30747.
% 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 166 during input processing: 0 [copy,166,flip.1] {-} A=A.
% 0.12/0.37 166 back subsumes 146.
% 0.12/0.37 166 back subsumes 145.
% 0.12/0.37 166 back subsumes 144.
% 0.12/0.37 166 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: 162
% 0.19/0.44 percentage of clauses intially in UL: 95
% 0.19/0.44 percentage of distinct symbols occuring in initial UL: 87
% 0.19/0.44 percent of all initial clauses that are short: 100
% 0.19/0.44 absolute distinct symbol count: 40
% 0.19/0.44 distinct predicate count: 12
% 0.19/0.44 distinct function count: 20
% 0.19/0.44 distinct constant count: 8
% 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 ===========
% 3.86/4.04
% 3.86/4.04
% 3.86/4.04 Changing weight limit from 60 to 56.
% 3.86/4.04
% 3.86/4.04 Resetting weight limit to 56 after 235 givens.
% 3.86/4.04
% 4.43/4.63
% 4.43/4.63
% 4.43/4.63 Changing weight limit from 56 to 55.
% 4.43/4.63
% 4.43/4.63 Resetting weight limit to 55 after 240 givens.
% 4.43/4.63
% 5.95/6.15
% 5.95/6.15
% 5.95/6.15 Changing weight limit from 55 to 54.
% 5.95/6.15
% 5.95/6.15 Resetting weight limit to 54 after 255 givens.
% 5.95/6.15
% 6.21/6.39
% 6.21/6.39
% 6.21/6.39 Changing weight limit from 54 to 51.
% 6.21/6.39
% 6.21/6.39 Resetting weight limit to 51 after 260 givens.
% 6.21/6.39
% 7.11/7.29
% 7.11/7.29
% 7.11/7.29 Changing weight limit from 51 to 50.
% 7.11/7.29
% 7.11/7.29 Resetting weight limit to 50 after 270 givens.
% 7.11/7.29
% 8.62/8.80
% 8.62/8.80
% 8.62/8.80 Changing weight limit from 50 to 49.
% 8.62/8.80
% 8.62/8.80 Resetting weight limit to 49 after 285 givens.
% 8.62/8.80
% 9.36/9.60
% 9.36/9.60
% 9.36/9.60 Changing weight limit from 49 to 45.
% 9.36/9.60
% 9.36/9.60 Resetting weight limit to 45 after 295 givens.
% 9.36/9.60
% 9.75/9.99
% 9.75/9.99
% 9.75/9.99 Changing weight limit from 45 to 37.
% 9.75/9.99
% 9.75/9.99 Modelling stopped after 300 given clauses and 0.00 seconds
% 9.75/9.99
% 9.75/9.99
% 9.75/9.99 Resetting weight limit to 37 after 300 givens.
% 9.75/9.99
% 10.52/10.69
% 10.52/10.69
% 10.52/10.69 Changing weight limit from 37 to 36.
% 10.52/10.69
% 10.52/10.69 Resetting weight limit to 36 after 315 givens.
% 10.52/10.69
% 11.39/11.58
% 11.39/11.58
% 11.39/11.58 Changing weight limit from 36 to 35.
% 11.39/11.58
% 11.39/11.58 Resetting weight limit to 35 after 325 givens.
% 11.39/11.58
% 12.02/12.24
% 12.02/12.24
% 12.02/12.24 Changing weight limit from 35 to 31.
% 12.02/12.24
% 12.02/12.24 Resetting weight limit to 31 after 330 givens.
% 12.02/12.24
% 12.10/12.28
% 12.10/12.28
% 12.10/12.28 Changing weight limit from 31 to 30.
% 12.10/12.28
% 12.10/12.28 Resetting weight limit to 30 after 335 givens.
% 12.10/12.28
% 16.43/16.66
% 16.43/16.66
% 16.43/16.66 Changing weight limit from 30 to 29.
% 16.43/16.66
% 16.43/16.66 Resetting weight limit to 29 after 620 givens.
% 16.43/16.66
% 17.26/17.51
% 17.26/17.51
% 17.26/17.51 Changing weight limit from 29 to 23.
% 17.26/17.51
% 17.26/17.51 Resetting weight limit to 23 after 685 givens.
% 17.26/17.51
% 17.43/17.62
% 17.43/17.62
% 17.43/17.62 Changing weight limit from 23 to 21.
% 17.43/17.62
% 17.43/17.62 Resetting weight limit to 21 after 690 givens.
% 17.43/17.62
% 17.58/17.78
% 17.58/17.78
% 17.58/17.78 Changing weight limit from 21 to 15.
% 17.58/17.78
% 17.58/17.78 Resetting weight limit to 15 after 695 givens.
% 17.58/17.78
% 17.70/17.89
% 17.70/17.89
% 17.70/17.89 Changing weight limit from 15 to 11.
% 17.70/17.89
% 17.70/17.89 Resetting weight limit to 11 after 700 givens.
% 17.70/17.89
% 17.70/17.90
% 17.70/17.90
% 17.70/17.90 Changing weight limit from 11 to 10.
% 17.70/17.90
% 17.70/17.90 Resetting weight limit to 10 after 705 givens.
% 17.70/17.90
% 19.65/19.93
% 19.65/19.93
% 19.65/19.93 Changing weight limit from 10 to 9.
% 19.65/19.93
% 19.65/19.93 Resetting weight limit to 9 after 1150 givens.
% 19.65/19.93
% 30.44/30.64
% 30.44/30.64
% 30.44/30.64 Changing weight limit from 9 to 8.
% 30.44/30.64
% 30.44/30.64 Resetting weight limit to 8 after 4925 givens.
% 30.44/30.64
% 40.71/40.94
% 40.71/40.94
% 40.71/40.94 Changing weight limit from 8 to 5.
% 40.71/40.94
% 40.71/40.94 Resetting weight limit to 5 after 6990 givens.
% 40.71/40.94
% 43.74/43.95
% 43.74/43.95
% 43.74/43.95 Changing weight limit from 5 to 6.
% 43.74/43.95
% 43.74/43.95 Resetting weight limit to 6 after 9510 givens.
% 43.74/43.95
% 43.74/43.97
% 43.74/43.97
% 43.74/43.97 Changing weight limit from 6 to 7.
% 43.74/43.97
% 43.74/43.97 Resetting weight limit to 7 after 9515 givens.
% 43.74/43.97
% 43.74/43.98
% 43.74/43.98
% 43.74/43.98 Changing weight limit from 7 to 8.
% 43.74/43.98
% 43.74/43.98 Resetting weight limit to 8 after 9520 givens.
% 43.74/43.98
% 43.81/43.98
% 43.81/43.98
% 43.81/43.98 Changing weight limit from 8 to 9.
% 43.81/43.98
% 43.81/43.98 Resetting weight limit to 9 after 9525 givens.
% 43.81/43.98
% 43.81/43.98
% 43.81/43.98
% 43.81/43.98 Changing weight limit from 9 to 10.
% 43.81/43.98
% 43.81/43.98 Resetting weight limit to 10 after 9530 givens.
% 43.81/43.98
% 43.81/43.98
% 43.81/43.98
% 43.81/43.98 Changing weight limit from 10 to 11.
% 43.81/43.98
% 43.81/43.98 Resetting weight limit to 11 after 9535 givens.
% 43.81/43.98
% 44.11/44.36
% 44.11/44.36
% 44.11/44.36 Changing weight limit from 11 to 10.
% 44.11/44.36
% 44.11/44.36 Resetting weight limit to 10 after 9785 givens.
% 44.11/44.36
% 44.57/44.77
% 44.57/44.77
% 44.57/44.77 Changing weight limit from 10 to 9.
% 44.57/44.77
% 44.57/44.77 Resetting weight limit to 9 after 9970 givens.
% 44.57/44.77
% 55.61/55.80
% 55.61/55.80 -- HEY sandbox2, WE HAVE A PROOF!! --
% 55.61/55.80
% 55.61/55.80 ----> UNIT CONFLICT at 53.92 sec ----> 298988 [binary,298987.1,113.1] {-} $F.
% 55.61/55.80
% 55.61/55.80 Length of proof is 173. Level of proof is 23.
% 55.61/55.80
% 55.61/55.80 ---------------- PROOF ----------------
% 55.61/55.80 % SZS status Theorem
% 55.61/55.80 % SZS output start Refutation
% 55.61/55.80
% 55.61/55.80 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 55.61/55.80 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 55.61/55.80 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 55.61/55.80 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 55.61/55.80 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 55.61/55.80 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 55.61/55.80 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 55.61/55.80 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 55.61/55.80 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 55.61/55.80 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 55.61/55.80 12 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|circle(A,B,C,D).
% 55.61/55.80 13 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)| -cong(A,B,A,E)|cyclic(B,C,D,E).
% 55.61/55.80 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 55.61/55.80 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 55.61/55.80 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 55.61/55.80 18 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(B,A,C,D,E,F,G,H).
% 55.61/55.80 19 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(C,D,A,B,G,H,E,F).
% 55.61/55.80 21 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(A,B,E,F,C,D,G,H).
% 55.61/55.80 23 [] {+} -cong(A,B,C,D)|cong(A,B,D,C).
% 55.61/55.80 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 55.61/55.80 39 [] {+} -eqangle(A,B,C,D,E,F,C,D)|para(A,B,E,F).
% 55.61/55.80 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 55.61/55.80 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 55.61/55.80 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).
% 55.61/55.80 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 55.61/55.80 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 55.61/55.80 53 [] {+} -perp(A,B,B,C)| -midp(D,A,C)|cong(A,D,B,D).
% 55.61/55.80 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 55.61/55.80 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 55.61/55.80 58 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)| -cyclic(A,C,B,D)|perp(B,A,A,D).
% 55.61/55.80 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 55.61/55.80 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 55.61/55.80 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 55.61/55.80 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 55.61/55.80 70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 55.61/55.80 73 [] {+} -eqangle(A,B,C,D,E,F,G,H)| -para(E,F,G,H)|para(A,B,C,D).
% 55.61/55.80 74 [] {+} -eqangle(A,B,C,D,E,F,G,H)| -perp(E,F,G,H)|perp(A,B,C,D).
% 55.61/55.80 86 [] {+} -midp(A,B,C)| -midp(D,E,F)|midp($f6(B,C,E,F,A,D),B,F).
% 55.61/55.80 113 [] {+} -cong($c5,$c2,$c5,$c1).
% 55.61/55.80 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 55.61/55.80 116 [factor,12.1.2] {+} -cong(A,B,A,C)|circle(A,B,C,C).
% 55.61/55.80 117 [factor,13.1.2] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,C,D).
% 55.61/55.80 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 55.61/55.80 121 [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).
% 55.61/55.80 122 [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).
% 55.61/55.80 124 [factor,45.1.2] {+} -midp(A,B,C)|para(A,A,C,C).
% 55.61/55.80 125 [factor,57.1.2] {+} -cong(A,B,C,B)|perp(A,C,B,B).
% 55.61/55.80 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 55.61/55.80 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 55.61/55.80 154 [factor,117.1.2] {+} -cong(A,B,A,C)|cyclic(B,C,C,C).
% 55.61/55.80 155 [factor,121.1.2] {+} -cyclic(A,B,C,D)| -eqangle(C,A,C,B,D,D,D,D)|cong(A,B,D,D).
% 55.61/55.80 159 [] {-} midp($c5,$c6,$c8).
% 55.61/55.80 160 [] {-} midp($c4,$c7,$c6).
% 55.61/55.80 161 [] {-} midp($c3,$c8,$c7).
% 55.61/55.80 162 [] {-} eqangle($c2,$c7,$c7,$c6,$c2,$c7,$c7,$c8).
% 55.61/55.80 163 [] {-} coll($c2,$c5,$c3).
% 55.61/55.80 164 [] {-} coll($c1,$c7,$c2).
% 55.61/55.80 165 [] {-} coll($c1,$c5,$c4).
% 55.61/55.80 172 [hyper,159,124] {-} para($c5,$c5,$c8,$c8).
% 55.61/55.80 173 [hyper,159,70] {-} coll($c5,$c6,$c8).
% 55.61/55.80 174 [hyper,159,69] {-} cong($c5,$c6,$c5,$c8).
% 55.61/55.80 175 [hyper,159,11] {-} midp($c5,$c8,$c6).
% 55.61/55.80 198 [hyper,160,86,159] {-} midp($f6($c6,$c8,$c7,$c6,$c5,$c4),$c6,$c6).
% 55.61/55.80 202 [hyper,160,70] {-} coll($c4,$c7,$c6).
% 55.61/55.80 203 [hyper,160,69] {-} cong($c4,$c7,$c4,$c6).
% 55.61/55.80 204 [hyper,160,11] {-} midp($c4,$c6,$c7).
% 55.61/55.80 239 [hyper,161,70] {-} coll($c3,$c8,$c7).
% 55.61/55.80 240 [hyper,161,69] {-} cong($c3,$c8,$c3,$c7).
% 55.61/55.80 241 [hyper,161,11] {-} midp($c3,$c7,$c8).
% 55.61/55.80 254 [hyper,163,114] {-} coll($c3,$c3,$c2).
% 55.61/55.80 256 [hyper,163,1] {-} coll($c2,$c3,$c5).
% 55.61/55.80 269 [hyper,162,21] {-} eqangle($c2,$c7,$c2,$c7,$c7,$c6,$c7,$c8).
% 55.61/55.80 271 [hyper,162,19] {-} eqangle($c7,$c6,$c2,$c7,$c7,$c8,$c2,$c7).
% 55.61/55.80 305 [hyper,164,114] {-} coll($c2,$c2,$c1).
% 55.61/55.80 320 [hyper,165,114] {-} coll($c4,$c4,$c1).
% 55.61/55.80 321 [hyper,165,2] {-} coll($c5,$c1,$c4).
% 55.61/55.80 335 [hyper,173,114] {-} coll($c8,$c8,$c5).
% 55.61/55.80 336 [hyper,173,2] {-} coll($c6,$c5,$c8).
% 55.61/55.80 337 [hyper,173,1] {-} coll($c5,$c8,$c6).
% 55.61/55.80 380 [hyper,175,69] {-} cong($c5,$c8,$c5,$c6).
% 55.61/55.80 381 [hyper,175,64,159] {-} para($c6,$c8,$c8,$c6).
% 55.61/55.80 382 [hyper,175,64,159] {-} para($c8,$c6,$c6,$c8).
% 55.61/55.80 383 [hyper,175,45,161] {-} para($c3,$c5,$c7,$c6).
% 55.61/55.80 384 [hyper,175,45,161] {-} para($c5,$c3,$c6,$c7).
% 55.61/55.80 439 [hyper,202,114] {-} coll($c6,$c6,$c4).
% 55.61/55.80 440 [hyper,202,2] {-} coll($c7,$c4,$c6).
% 55.61/55.80 441 [hyper,202,1] {-} coll($c4,$c6,$c7).
% 55.61/55.80 458 [hyper,204,128] {-} para($c6,$c6,$c7,$c7).
% 55.61/55.80 492 [hyper,204,69] {-} cong($c4,$c6,$c4,$c7).
% 55.61/55.80 493 [hyper,204,64,160] {-} para($c7,$c6,$c6,$c7).
% 55.61/55.80 494 [hyper,204,64,160] {-} para($c6,$c7,$c7,$c6).
% 55.61/55.80 509 [hyper,239,114] {-} coll($c7,$c7,$c3).
% 55.61/55.80 511 [hyper,239,1] {-} coll($c3,$c7,$c8).
% 55.61/55.80 528 [hyper,241,128] {-} para($c7,$c7,$c8,$c8).
% 55.61/55.80 529 [hyper,241,124] {-} para($c3,$c3,$c8,$c8).
% 55.61/55.80 570 [hyper,241,69] {-} cong($c3,$c7,$c3,$c8).
% 55.61/55.80 629 [hyper,254,114] {-} coll($c2,$c2,$c3).
% 55.61/55.80 657 [hyper,256,114] {-} coll($c5,$c5,$c2).
% 55.61/55.80 671 [hyper,305,114] {-} coll($c1,$c1,$c2).
% 55.61/55.80 823 [hyper,321,1] {-} coll($c5,$c4,$c1).
% 55.61/55.80 886 [hyper,335,1] {-} coll($c8,$c5,$c8).
% 55.61/55.80 900 [hyper,336,1] {-} coll($c6,$c8,$c5).
% 55.61/55.80 913 [hyper,337,114] {-} coll($c6,$c6,$c5).
% 55.61/55.80 944 [hyper,439,114] {-} coll($c4,$c4,$c6).
% 55.61/55.80 945 [hyper,439,1] {-} coll($c6,$c4,$c6).
% 55.61/55.80 958 [hyper,440,114] {-} coll($c6,$c6,$c7).
% 55.61/55.80 972 [hyper,441,114] {-} coll($c7,$c7,$c4).
% 55.61/55.80 1002 [hyper,172,5] {-} para($c8,$c8,$c5,$c5).
% 55.61/55.80 1033 [hyper,511,114] {-} coll($c8,$c8,$c3).
% 55.61/55.80 1048 [hyper,629,3,305] {-} coll($c3,$c1,$c2).
% 55.61/55.80 1049 [hyper,629,1] {-} coll($c2,$c3,$c2).
% 55.61/55.80 1518 [hyper,823,114] {-} coll($c1,$c1,$c5).
% 55.61/55.80 1659 [hyper,886,114] {-} coll($c8,$c8,$c8).
% 55.61/55.80 1687 [hyper,900,114] {-} coll($c5,$c5,$c6).
% 55.61/55.80 1759 [hyper,913,1] {-} coll($c6,$c5,$c6).
% 55.61/55.80 1786 [hyper,944,3,320] {-} coll($c1,$c6,$c4).
% 55.61/55.80 1802 [hyper,945,114] {-} coll($c6,$c6,$c6).
% 55.61/55.80 1872 [hyper,958,114] {-} coll($c7,$c7,$c6).
% 55.61/55.80 1874 [hyper,958,3,913] {-} coll($c7,$c5,$c6).
% 55.61/55.80 1906 [hyper,972,1] {-} coll($c7,$c4,$c7).
% 55.61/55.80 2150 [hyper,1048,1] {-} coll($c3,$c2,$c1).
% 55.61/55.80 2204 [hyper,1049,3,256] {-} coll($c2,$c5,$c2).
% 55.61/55.80 2945 [hyper,1518,3,671] {-} coll($c5,$c2,$c1).
% 55.61/55.80 3187 [hyper,1659,3,1033] {-} coll($c3,$c8,$c8).
% 55.61/55.80 3295 [hyper,1687,3,657] {-} coll($c2,$c6,$c5).
% 55.61/55.80 3299 [hyper,1687,3,657] {-} coll($c6,$c2,$c5).
% 55.61/55.80 3399 [hyper,1759,2] {-} coll($c5,$c6,$c6).
% 55.61/55.80 3436 [hyper,1786,1] {-} coll($c1,$c4,$c6).
% 55.61/55.80 3556 [hyper,198,128] {-} para($c6,$c6,$c6,$c6).
% 55.61/55.80 3686 [hyper,1872,3,509] {-} coll($c3,$c6,$c7).
% 55.61/55.80 3691 [hyper,1872,1] {-} coll($c7,$c6,$c7).
% 55.61/55.80 3718 [hyper,1874,1] {-} coll($c7,$c6,$c5).
% 55.61/55.80 3987 [hyper,1906,2] {-} coll($c4,$c7,$c7).
% 55.61/55.80 4094 [hyper,203,154] {-} cyclic($c7,$c6,$c6,$c6).
% 55.61/55.80 4095 [hyper,203,116] {-} circle($c4,$c7,$c6,$c6).
% 55.61/55.80 6734 [hyper,3295,1] {-} coll($c2,$c5,$c6).
% 55.61/55.80 6824 [hyper,3299,1] {-} coll($c6,$c5,$c2).
% 55.61/55.80 6932 [hyper,3436,114] {-} coll($c6,$c6,$c1).
% 55.61/55.80 7409 [hyper,3718,3,3691] {-} coll($c5,$c7,$c7).
% 55.61/55.80 8482 [hyper,240,23] {-} cong($c3,$c8,$c7,$c3).
% 55.61/55.80 9534 [hyper,6734,3,2204] {-} coll($c2,$c6,$c2).
% 55.61/55.80 9535 [hyper,6734,3,163] {-} coll($c3,$c6,$c2).
% 55.61/55.80 9582 [hyper,6824,114] {-} coll($c2,$c2,$c6).
% 55.61/55.80 9921 [hyper,269,18] {-} eqangle($c7,$c2,$c2,$c7,$c7,$c6,$c7,$c8).
% 55.61/55.80 10038 [hyper,271,39] {-} para($c7,$c6,$c7,$c8).
% 55.61/55.80 11914 [hyper,380,25,174] {-} cong($c5,$c6,$c5,$c6).
% 55.61/55.80 11915 [hyper,380,25,174] {-} cong($c5,$c8,$c5,$c8).
% 55.61/55.80 12190 [hyper,382,6,381] {-} para($c8,$c6,$c8,$c6).
% 55.61/55.80 12329 [hyper,383,4] {-} para($c3,$c5,$c6,$c7).
% 55.61/55.80 12748 [hyper,492,25,203] {-} cong($c4,$c7,$c4,$c7).
% 55.61/55.80 13192 [hyper,494,6,493] {-} para($c6,$c7,$c6,$c7).
% 55.61/55.80 13751 [hyper,570,25,240] {-} cong($c3,$c8,$c3,$c8).
% 55.61/55.80 14450 [hyper,1002,6,528] {-} para($c7,$c7,$c5,$c5).
% 55.61/55.80 14888 [hyper,3556,40] {-} eqangle($c6,$c6,A,B,$c6,$c6,A,B).
% 55.61/55.80 14889 [hyper,4094,120] {-} cyclic($c6,$c6,$c6,$c6).
% 55.61/55.80 14893 [hyper,4095,54,202] {-} perp($c7,$c6,$c6,$c6).
% 55.61/55.80 15607 [hyper,8482,25,570] {-} cong($c3,$c7,$c7,$c3).
% 55.61/55.80 15737 [hyper,10038,73,269] {-} para($c2,$c7,$c2,$c7).
% 55.61/55.80 15907 [hyper,11914,68,3399] {-} midp($c5,$c6,$c6).
% 55.61/55.80 15983 [hyper,15907,46,384,3686] {-} midp($c3,$c6,$c7).
% 55.61/55.80 16023 [hyper,15983,69] {-} cong($c3,$c6,$c3,$c7).
% 55.61/55.80 16024 [hyper,15983,65,494,458] {-} midp($c3,$c7,$c6).
% 55.61/55.80 16774 [hyper,12329,46,16024,7409] {-} midp($c5,$c7,$c7).
% 55.61/55.80 16824 [hyper,16774,69] {-} cong($c5,$c7,$c5,$c7).
% 55.61/55.80 17262 [hyper,12748,68,3987] {-} midp($c4,$c7,$c7).
% 55.61/55.80 17326 [hyper,17262,64,204] {-} para($c7,$c6,$c7,$c7).
% 55.61/55.80 18807 [hyper,13751,125] {-} perp($c3,$c3,$c8,$c8).
% 55.61/55.80 18814 [hyper,13751,68,3187] {-} midp($c3,$c8,$c8).
% 55.61/55.80 18823 [hyper,18814,129,12190] {-} midp($c3,$c6,$c6).
% 55.61/55.80 18908 [hyper,18823,129,13192] {-} midp($c3,$c7,$c7).
% 55.61/55.80 18991 [hyper,18823,69] {-} cong($c3,$c6,$c3,$c6).
% 55.61/55.80 21574 [hyper,14893,10,383] {-} perp($c3,$c5,$c6,$c6).
% 55.61/55.80 22550 [hyper,15737,4] {-} para($c2,$c7,$c7,$c2).
% 55.61/55.80 24421 [hyper,16023,25,15607] {-} cong($c3,$c6,$c7,$c3).
% 55.61/55.80 27872 [hyper,16824,57,11915] {-} perp($c5,$c5,$c7,$c8).
% 55.61/55.80 30308 [hyper,17326,6,14450] {-} para($c7,$c6,$c5,$c5).
% 55.61/55.80 41714 [hyper,18807,8] {-} perp($c8,$c8,$c3,$c3).
% 55.61/55.80 46841 [hyper,22550,5] {-} para($c7,$c2,$c2,$c7).
% 55.61/55.80 48288 [hyper,30308,10,27872] {-} perp($c7,$c6,$c7,$c8).
% 55.61/55.80 49264 [hyper,41714,10,529] {-} perp($c3,$c3,$c3,$c3).
% 55.61/55.80 50621 [hyper,46841,6,22550] {-} para($c7,$c2,$c7,$c2).
% 55.61/55.80 51590 [hyper,48288,74,9921] {-} perp($c7,$c2,$c2,$c7).
% 55.61/55.80 54322 [hyper,50621,129,18908] {-} midp($c3,$c2,$c2).
% 55.61/55.80 54339 [hyper,54322,124] {-} para($c3,$c3,$c2,$c2).
% 55.61/55.80 54446 [hyper,54322,69] {-} cong($c3,$c2,$c3,$c2).
% 55.61/55.80 54447 [hyper,54322,64,18823] {-} para($c6,$c2,$c6,$c2).
% 55.61/55.80 54765 [hyper,51590,53,18908] {-} cong($c7,$c3,$c2,$c3).
% 55.61/55.80 54896 [hyper,54339,5] {-} para($c2,$c2,$c3,$c3).
% 55.61/55.80 54900 [hyper,54446,57,18991] {-} perp($c3,$c3,$c6,$c2).
% 55.61/55.80 54903 [hyper,54446,57,18991] {-} perp($c3,$c3,$c2,$c6).
% 55.61/55.80 54917 [hyper,54447,4] {-} para($c6,$c2,$c2,$c6).
% 55.61/55.80 55206 [hyper,54765,25,24421] {-} cong($c3,$c6,$c2,$c3).
% 55.61/55.80 55493 [hyper,54900,9,49264] {-} para($c3,$c3,$c6,$c2).
% 55.61/55.80 55582 [hyper,54903,10,54896] {-} perp($c2,$c2,$c2,$c6).
% 55.61/55.80 56155 [hyper,55206,23] {-} cong($c3,$c6,$c3,$c2).
% 55.61/55.80 56188 [hyper,14888,155,14889] {-} cong($c6,$c6,$c6,$c6).
% 55.61/55.80 56199 [hyper,14888,43,6932] {-} cyclic($c6,$c1,$c6,$c6).
% 55.61/55.80 58224 [hyper,55493,46,18823,9535] {-} midp($c3,$c6,$c2).
% 55.61/55.80 63487 [hyper,56155,117,18991] {-} cyclic($c6,$c6,$c6,$c2).
% 55.61/55.80 63749 [hyper,56188,68,1802] {-} midp($c6,$c6,$c6).
% 55.61/55.80 63757 [hyper,63749,129,54447] {-} midp($c6,$c2,$c2).
% 55.61/55.80 63974 [hyper,63749,46,54447,9534] {-} midp($c2,$c6,$c2).
% 55.61/55.80 64181 [hyper,63757,69] {-} cong($c6,$c2,$c6,$c2).
% 55.61/55.80 64218 [hyper,63757,46,54917,9582] {-} midp($c2,$c2,$c6).
% 55.61/55.80 66919 [hyper,63974,45,58224] {-} para($c2,$c3,$c2,$c2).
% 55.61/55.80 80313 [hyper,56199,15] {-} cyclic($c6,$c6,$c1,$c6).
% 55.61/55.80 188111 [hyper,66919,10,55582] {-} perp($c2,$c3,$c2,$c6).
% 55.61/55.80 192640 [hyper,80313,14] {-} cyclic($c6,$c6,$c6,$c1).
% 55.61/55.80 204018 [hyper,192640,120] {-} cyclic($c6,$c6,$c1,$c1).
% 55.61/55.80 204020 [hyper,192640,17,63487] {-} cyclic($c6,$c6,$c2,$c1).
% 55.61/55.80 226758 [hyper,204018,17,80313] {-} cyclic($c6,$c1,$c6,$c1).
% 55.61/55.80 228385 [hyper,226758,122,56199,14888] {-} cong($c6,$c1,$c6,$c1).
% 55.61/55.80 230701 [hyper,228385,125] {-} perp($c6,$c6,$c1,$c1).
% 55.61/55.80 230704 [hyper,228385,58,64181,204020] {-} perp($c2,$c6,$c6,$c1).
% 55.61/55.80 237188 [hyper,230701,9,21574] {-} para($c3,$c5,$c1,$c1).
% 55.61/55.80 237326 [hyper,230704,9,188111] {-} para($c2,$c3,$c6,$c1).
% 55.61/55.80 258965 [hyper,237326,46,64218,2150] {-} midp($c3,$c2,$c1).
% 55.61/55.80 264250 [hyper,258965,46,237188,2945] {-} midp($c5,$c2,$c1).
% 55.61/55.80 298987 [hyper,264250,69] {-} cong($c5,$c2,$c5,$c1).
% 55.61/55.80 298988 [binary,298987.1,113.1] {-} $F.
% 55.61/55.80
% 55.61/55.80 % SZS output end Refutation
% 55.61/55.80 ------------ end of proof -------------
% 55.61/55.80
% 55.61/55.80
% 55.61/55.80 Search stopped by max_proofs option.
% 55.61/55.80
% 55.61/55.80
% 55.61/55.80 Search stopped by max_proofs option.
% 55.61/55.80
% 55.61/55.80 ============ end of search ============
% 55.61/55.80
% 55.61/55.80 That finishes the proof of the theorem.
% 55.61/55.80
% 55.61/55.80 Process 30747 finished Sat Jun 18 01:20:08 2022
%------------------------------------------------------------------------------