TSTP Solution File: GEO605+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO605+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n011.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 06:21:06 EDT 2022
% Result : Theorem 97.04s 97.24s
% Output : Refutation 97.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO605+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n011.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 : Sat Jun 18 14:45:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.37 ----- Otter 3.2, August 2001 -----
% 0.12/0.37 The process was started by sandbox2 on n011.cluster.edu,
% 0.12/0.37 Sat Jun 18 14:45:53 2022
% 0.12/0.37 The command was "./sos". The process ID is 31678.
% 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 173 during input processing: 0 [copy,173,flip.1] {-} A=A.
% 0.12/0.37 173 back subsumes 146.
% 0.12/0.37 173 back subsumes 145.
% 0.12/0.37 173 back subsumes 144.
% 0.12/0.37 173 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: 169
% 0.19/0.43 percentage of clauses intially in UL: 91
% 0.19/0.43 percentage of distinct symbols occuring in initial UL: 81
% 0.19/0.43 percent of all initial clauses that are short: 100
% 0.19/0.43 absolute distinct symbol count: 43
% 0.19/0.43 distinct predicate count: 12
% 0.19/0.43 distinct function count: 20
% 0.19/0.43 distinct constant count: 11
% 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 ===========
% 9.82/10.08
% 9.82/10.08
% 9.82/10.08 Changing weight limit from 60 to 59.
% 9.82/10.08
% 9.82/10.08 Resetting weight limit to 59 after 225 givens.
% 9.82/10.08
% 11.32/11.51
% 11.32/11.51
% 11.32/11.51 Changing weight limit from 59 to 55.
% 11.32/11.51
% 11.32/11.51 Resetting weight limit to 55 after 235 givens.
% 11.32/11.51
% 17.71/17.99
% 17.71/17.99
% 17.71/17.99 Changing weight limit from 55 to 54.
% 17.71/17.99
% 17.71/17.99 Modelling stopped after 300 given clauses and 0.00 seconds
% 17.71/17.99
% 17.71/17.99
% 17.71/17.99 Resetting weight limit to 54 after 300 givens.
% 17.71/17.99
% 21.03/21.23
% 21.03/21.23
% 21.03/21.23 Changing weight limit from 54 to 51.
% 21.03/21.23
% 21.03/21.23 Resetting weight limit to 51 after 345 givens.
% 21.03/21.23
% 21.22/21.43
% 21.22/21.43
% 21.22/21.43 Changing weight limit from 51 to 50.
% 21.22/21.43
% 21.22/21.43 Resetting weight limit to 50 after 350 givens.
% 21.22/21.43
% 23.09/23.29
% 23.09/23.29
% 23.09/23.29 Changing weight limit from 50 to 49.
% 23.09/23.29
% 23.09/23.29 Resetting weight limit to 49 after 370 givens.
% 23.09/23.29
% 24.02/24.27
% 24.02/24.27
% 24.02/24.27 Changing weight limit from 49 to 44.
% 24.02/24.27
% 24.02/24.27 Resetting weight limit to 44 after 390 givens.
% 24.02/24.27
% 24.13/24.38
% 24.13/24.38
% 24.13/24.38 Changing weight limit from 44 to 37.
% 24.13/24.38
% 24.13/24.38 Resetting weight limit to 37 after 395 givens.
% 24.13/24.38
% 24.23/24.44
% 24.23/24.44
% 24.23/24.44 Changing weight limit from 37 to 36.
% 24.23/24.44
% 24.23/24.44 Resetting weight limit to 36 after 400 givens.
% 24.23/24.44
% 24.32/24.51
% 24.32/24.51
% 24.32/24.51 Changing weight limit from 36 to 35.
% 24.32/24.51
% 24.32/24.51 Resetting weight limit to 35 after 405 givens.
% 24.32/24.51
% 25.02/25.19
% 25.02/25.19
% 25.02/25.19 Changing weight limit from 35 to 34.
% 25.02/25.19
% 25.02/25.19 Resetting weight limit to 34 after 420 givens.
% 25.02/25.19
% 25.64/25.84
% 25.64/25.84
% 25.64/25.84 Changing weight limit from 34 to 31.
% 25.64/25.84
% 25.64/25.84 Resetting weight limit to 31 after 435 givens.
% 25.64/25.84
% 25.82/26.02
% 25.82/26.02
% 25.82/26.02 Changing weight limit from 31 to 30.
% 25.82/26.02
% 25.82/26.02 Resetting weight limit to 30 after 440 givens.
% 25.82/26.02
% 31.42/31.67
% 31.42/31.67
% 31.42/31.67 Changing weight limit from 30 to 29.
% 31.42/31.67
% 31.42/31.67 Resetting weight limit to 29 after 650 givens.
% 31.42/31.67
% 32.83/33.01
% 32.83/33.01
% 32.83/33.01 Changing weight limit from 29 to 23.
% 32.83/33.01
% 32.83/33.01 Resetting weight limit to 23 after 935 givens.
% 32.83/33.01
% 32.84/33.10
% 32.84/33.10
% 32.84/33.10 Changing weight limit from 23 to 22.
% 32.84/33.10
% 32.84/33.10 Resetting weight limit to 22 after 940 givens.
% 32.84/33.10
% 33.01/33.21
% 33.01/33.21
% 33.01/33.21 Changing weight limit from 22 to 17.
% 33.01/33.21
% 33.01/33.21 Resetting weight limit to 17 after 945 givens.
% 33.01/33.21
% 33.14/33.35
% 33.14/33.35
% 33.14/33.35 Changing weight limit from 17 to 16.
% 33.14/33.35
% 33.14/33.35 Resetting weight limit to 16 after 950 givens.
% 33.14/33.35
% 33.24/33.44
% 33.24/33.44
% 33.24/33.44 Changing weight limit from 16 to 11.
% 33.24/33.44
% 33.24/33.44 Resetting weight limit to 11 after 955 givens.
% 33.24/33.44
% 33.31/33.50
% 33.31/33.50
% 33.31/33.50 Changing weight limit from 11 to 10.
% 33.31/33.50
% 33.31/33.50 Resetting weight limit to 10 after 960 givens.
% 33.31/33.50
% 35.33/35.52
% 35.33/35.52
% 35.33/35.52 Changing weight limit from 10 to 9.
% 35.33/35.52
% 35.33/35.52 Resetting weight limit to 9 after 1945 givens.
% 35.33/35.52
% 41.32/41.51
% 41.32/41.51
% 41.32/41.51 Changing weight limit from 9 to 8.
% 41.32/41.51
% 41.32/41.51 Resetting weight limit to 8 after 3960 givens.
% 41.32/41.51
% 42.72/42.98
% 42.72/42.98
% 42.72/42.98 Changing weight limit from 8 to 5.
% 42.72/42.98
% 42.72/42.98 Resetting weight limit to 5 after 4805 givens.
% 42.72/42.98
% 50.41/50.62
% 50.41/50.62
% 50.41/50.62 Changing weight limit from 5 to 6.
% 50.41/50.62
% 50.41/50.62 Resetting weight limit to 6 after 12775 givens.
% 50.41/50.62
% 50.41/50.62
% 50.41/50.62
% 50.41/50.62 Changing weight limit from 6 to 7.
% 50.41/50.62
% 50.41/50.62 Resetting weight limit to 7 after 12780 givens.
% 50.41/50.62
% 50.41/50.63
% 50.41/50.63
% 50.41/50.63 Changing weight limit from 7 to 8.
% 50.41/50.63
% 50.41/50.63 Resetting weight limit to 8 after 12785 givens.
% 50.41/50.63
% 50.41/50.63
% 50.41/50.63
% 50.41/50.63 Changing weight limit from 8 to 9.
% 50.41/50.63
% 50.41/50.63 Resetting weight limit to 9 after 12790 givens.
% 50.41/50.63
% 53.10/53.36
% 53.10/53.36
% 53.10/53.36 Changing weight limit from 9 to 8.
% 53.10/53.36
% 53.10/53.36 Resetting weight limit to 8 after 15175 givens.
% 53.10/53.36
% 53.52/53.72
% 53.52/53.72
% 53.52/53.72 Changing weight limit from 8 to 5.
% 53.52/53.72
% 53.52/53.72 Resetting weight limit to 5 after 15190 givens.
% 53.52/53.72
% 97.04/97.24
% 97.04/97.24 -- HEY sandbox2, WE HAVE A PROOF!! --
% 97.04/97.24
% 97.04/97.24 ----> UNIT CONFLICT at 91.91 sec ----> 331165 [binary,331164.1,113.1] {-} $F.
% 97.04/97.24
% 97.04/97.24 Length of proof is 157. Level of proof is 17.
% 97.04/97.24
% 97.04/97.24 ---------------- PROOF ----------------
% 97.04/97.24 % SZS status Theorem
% 97.04/97.24 % SZS output start Refutation
% 97.04/97.24
% 97.04/97.24 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 97.04/97.24 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 97.04/97.24 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 97.04/97.24 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 97.04/97.24 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 97.04/97.24 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 97.04/97.24 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 97.04/97.24 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 97.04/97.24 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 97.04/97.24 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 97.04/97.24 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 97.04/97.24 12 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|circle(A,B,C,D).
% 97.04/97.24 13 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)| -cong(A,B,A,E)|cyclic(B,C,D,E).
% 97.04/97.24 19 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(C,D,A,B,G,H,E,F).
% 97.04/97.24 21 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(A,B,E,F,C,D,G,H).
% 97.04/97.24 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 97.04/97.24 39 [] {+} -eqangle(A,B,C,D,E,F,C,D)|para(A,B,E,F).
% 97.04/97.24 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 97.04/97.24 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).
% 97.04/97.24 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 97.04/97.24 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 97.04/97.24 53 [] {+} -perp(A,B,B,C)| -midp(D,A,C)|cong(A,D,B,D).
% 97.04/97.24 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 97.04/97.24 56 [] {+} -midp(A,B,C)| -perp(D,A,B,C)|cong(D,B,D,C).
% 97.04/97.24 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 97.04/97.24 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 97.04/97.24 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 97.04/97.24 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 97.04/97.24 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 97.04/97.24 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 97.04/97.24 70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 97.04/97.24 73 [] {+} -eqangle(A,B,C,D,E,F,G,H)| -para(E,F,G,H)|para(A,B,C,D).
% 97.04/97.24 113 [] {+} -perp($c5,$c10,$c10,$c4).
% 97.04/97.24 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 97.04/97.24 116 [factor,12.1.2] {+} -cong(A,B,A,C)|circle(A,B,C,C).
% 97.04/97.24 118 [factor,13.1.3] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,D,C).
% 97.04/97.24 119 [factor,13.2.3] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,D,D).
% 97.04/97.24 121 [factor,44.1.2] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,D)|cong(A,B,D,D).
% 97.04/97.24 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 97.04/97.24 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 97.04/97.24 159 [] {-} eqangle($c8,$c11,$c11,$c10,$c8,$c11,$c11,$c9).
% 97.04/97.24 160 [] {-} eqangle($c8,$c10,$c10,$c9,$c8,$c10,$c10,$c11).
% 97.04/97.24 161 [] {-} eqangle($c8,$c9,$c9,$c11,$c8,$c9,$c9,$c10).
% 97.04/97.24 162 [] {-} perp($c10,$c8,$c10,$c7).
% 97.04/97.24 164 [] {-} coll($c7,$c9,$c8).
% 97.04/97.24 165 [] {-} coll($c6,$c10,$c8).
% 97.04/97.24 166 [] {-} midp($c5,$c6,$c7).
% 97.04/97.24 167 [] {-} midp($c3,$c10,$c8).
% 97.04/97.24 168 [] {-} perp($c10,$c8,$c3,$c4).
% 97.04/97.24 169 [] {-} midp($c2,$c10,$c9).
% 97.04/97.24 171 [] {-} midp($c1,$c8,$c9).
% 97.04/97.24 174 [hyper,159,21] {-} eqangle($c8,$c11,$c8,$c11,$c11,$c10,$c11,$c9).
% 97.04/97.24 176 [hyper,159,19] {-} eqangle($c11,$c10,$c8,$c11,$c11,$c9,$c8,$c11).
% 97.04/97.24 211 [hyper,164,2] {-} coll($c9,$c7,$c8).
% 97.04/97.24 226 [hyper,165,2] {-} coll($c10,$c6,$c8).
% 97.04/97.24 227 [hyper,165,1] {-} coll($c6,$c8,$c10).
% 97.04/97.24 246 [hyper,166,70] {-} coll($c5,$c6,$c7).
% 97.04/97.24 247 [hyper,166,69] {-} cong($c5,$c6,$c5,$c7).
% 97.04/97.24 248 [hyper,166,11] {-} midp($c5,$c7,$c6).
% 97.04/97.24 263 [hyper,160,19] {-} eqangle($c10,$c9,$c8,$c10,$c10,$c11,$c8,$c10).
% 97.04/97.24 311 [hyper,167,70] {-} coll($c3,$c10,$c8).
% 97.04/97.24 312 [hyper,167,69] {-} cong($c3,$c10,$c3,$c8).
% 97.04/97.24 313 [hyper,167,11] {-} midp($c3,$c8,$c10).
% 97.04/97.24 330 [hyper,169,128] {-} para($c10,$c10,$c9,$c9).
% 97.04/97.24 348 [hyper,169,70] {-} coll($c2,$c10,$c9).
% 97.04/97.24 349 [hyper,169,69] {-} cong($c2,$c10,$c2,$c9).
% 97.04/97.24 352 [hyper,169,11] {-} midp($c2,$c9,$c10).
% 97.04/97.24 395 [hyper,171,70] {-} coll($c1,$c8,$c9).
% 97.04/97.24 396 [hyper,171,69] {-} cong($c1,$c8,$c1,$c9).
% 97.04/97.24 397 [hyper,171,11] {-} midp($c1,$c9,$c8).
% 97.04/97.24 424 [hyper,161,21] {-} eqangle($c8,$c9,$c8,$c9,$c9,$c11,$c9,$c10).
% 97.04/97.24 460 [hyper,211,114] {-} coll($c8,$c8,$c9).
% 97.04/97.24 504 [hyper,226,114] {-} coll($c8,$c8,$c10).
% 97.04/97.24 522 [hyper,162,8] {-} perp($c10,$c7,$c10,$c8).
% 97.04/97.24 523 [hyper,162,7] {-} perp($c10,$c8,$c7,$c10).
% 97.04/97.24 540 [hyper,227,114] {-} coll($c10,$c10,$c6).
% 97.04/97.24 554 [hyper,246,114] {-} coll($c7,$c7,$c5).
% 97.04/97.24 607 [hyper,248,69] {-} cong($c5,$c7,$c5,$c6).
% 97.04/97.24 622 [hyper,311,114] {-} coll($c8,$c8,$c3).
% 97.04/97.24 623 [hyper,311,2] {-} coll($c10,$c3,$c8).
% 97.04/97.24 624 [hyper,311,1] {-} coll($c3,$c8,$c10).
% 97.04/97.24 705 [hyper,313,69] {-} cong($c3,$c8,$c3,$c10).
% 97.04/97.24 706 [hyper,313,64,167] {-} para($c10,$c8,$c8,$c10).
% 97.04/97.24 707 [hyper,313,64,167] {-} para($c8,$c10,$c10,$c8).
% 97.04/97.24 708 [hyper,313,45,171] {-} para($c1,$c3,$c9,$c10).
% 97.04/97.24 709 [hyper,313,45,171] {-} para($c3,$c1,$c10,$c9).
% 97.04/97.24 723 [hyper,348,2] {-} coll($c10,$c2,$c9).
% 97.04/97.24 724 [hyper,348,1] {-} coll($c2,$c9,$c10).
% 97.04/97.24 791 [hyper,352,69] {-} cong($c2,$c9,$c2,$c10).
% 97.04/97.24 792 [hyper,352,64,169] {-} para($c10,$c9,$c9,$c10).
% 97.04/97.24 806 [hyper,395,114] {-} coll($c9,$c9,$c1).
% 97.04/97.24 807 [hyper,395,2] {-} coll($c8,$c1,$c9).
% 97.04/97.24 808 [hyper,395,1] {-} coll($c1,$c9,$c8).
% 97.04/97.24 821 [hyper,168,8] {-} perp($c3,$c4,$c10,$c8).
% 97.04/97.24 822 [hyper,168,7] {-} perp($c10,$c8,$c4,$c3).
% 97.04/97.24 901 [hyper,397,69] {-} cong($c1,$c9,$c1,$c8).
% 97.04/97.24 904 [hyper,397,45,352] {-} para($c2,$c1,$c10,$c8).
% 97.04/97.24 948 [hyper,460,1] {-} coll($c8,$c9,$c8).
% 97.04/97.24 1089 [hyper,504,114] {-} coll($c10,$c10,$c8).
% 97.04/97.24 1092 [hyper,504,3,460] {-} coll($c10,$c9,$c8).
% 97.04/97.24 1156 [hyper,540,1] {-} coll($c10,$c6,$c10).
% 97.04/97.24 1185 [hyper,554,1] {-} coll($c7,$c5,$c7).
% 97.04/97.24 1262 [hyper,622,114] {-} coll($c3,$c3,$c8).
% 97.04/97.24 1282 [hyper,623,1] {-} coll($c10,$c8,$c3).
% 97.04/97.24 1295 [hyper,176,39] {-} para($c11,$c10,$c11,$c9).
% 97.04/97.24 1330 [hyper,624,2] {-} coll($c8,$c3,$c10).
% 97.04/97.24 1359 [hyper,723,114] {-} coll($c9,$c9,$c10).
% 97.04/97.24 1373 [hyper,724,114] {-} coll($c10,$c10,$c2).
% 97.04/97.24 1440 [hyper,807,1] {-} coll($c8,$c9,$c1).
% 97.04/97.24 1453 [hyper,808,114] {-} coll($c8,$c8,$c1).
% 97.04/97.24 2211 [hyper,1089,1] {-} coll($c10,$c8,$c10).
% 97.04/97.24 2356 [hyper,1092,1] {-} coll($c10,$c8,$c9).
% 97.04/97.24 2573 [hyper,1156,114] {-} coll($c10,$c10,$c10).
% 97.04/97.24 2725 [hyper,1185,2] {-} coll($c5,$c7,$c7).
% 97.04/97.24 3566 [hyper,1359,3,806] {-} coll($c1,$c10,$c9).
% 97.04/97.24 3943 [hyper,1440,3,948] {-} coll($c1,$c8,$c8).
% 97.04/97.24 3961 [hyper,1453,3,504] {-} coll($c1,$c10,$c8).
% 97.04/97.24 4963 [hyper,2211,3,1282] {-} coll($c3,$c10,$c10).
% 97.04/97.24 5099 [hyper,2356,3,1282] {-} coll($c3,$c9,$c10).
% 97.04/97.24 5136 [hyper,2573,3,1373] {-} coll($c2,$c10,$c10).
% 97.04/97.24 9570 [hyper,263,39] {-} para($c10,$c9,$c10,$c11).
% 97.04/97.24 13856 [hyper,349,116] {-} circle($c2,$c10,$c9,$c9).
% 97.04/97.24 17459 [hyper,522,9,162] {-} para($c10,$c8,$c10,$c8).
% 97.04/97.24 17466 [hyper,523,8] {-} perp($c7,$c10,$c10,$c8).
% 97.04/97.24 17817 [hyper,607,25,247] {-} cong($c5,$c7,$c5,$c7).
% 97.04/97.24 18349 [hyper,424,19] {-} eqangle($c8,$c9,$c8,$c9,$c9,$c10,$c9,$c11).
% 97.04/97.24 18527 [hyper,705,25,312] {-} cong($c3,$c10,$c3,$c10).
% 97.04/97.24 18875 [hyper,707,6,706] {-} para($c8,$c10,$c8,$c10).
% 97.04/97.24 19583 [hyper,791,25,349] {-} cong($c2,$c10,$c2,$c10).
% 97.04/97.24 19757 [hyper,792,4] {-} para($c10,$c9,$c10,$c9).
% 97.04/97.24 19934 [hyper,821,9,168] {-} para($c3,$c4,$c3,$c4).
% 97.04/97.24 19945 [hyper,822,8] {-} perp($c4,$c3,$c10,$c8).
% 97.04/97.24 20295 [hyper,901,25,396] {-} cong($c1,$c8,$c1,$c8).
% 97.04/97.24 20296 [hyper,901,25,396] {-} cong($c1,$c9,$c1,$c9).
% 97.04/97.24 21021 [hyper,1295,73,174] {-} para($c8,$c11,$c8,$c11).
% 97.04/97.24 21022 [hyper,1295,67] {-} coll($c11,$c10,$c9).
% 97.04/97.24 21023 [hyper,1295,40] {-} eqangle($c11,$c10,A,B,$c11,$c9,A,B).
% 97.04/97.24 21024 [hyper,1295,5] {-} para($c11,$c9,$c11,$c10).
% 97.04/97.24 21045 [hyper,21022,114] {-} coll($c9,$c9,$c11).
% 97.04/97.24 21064 [hyper,21022,2] {-} coll($c10,$c11,$c9).
% 97.04/97.24 21065 [hyper,21022,1] {-} coll($c11,$c9,$c10).
% 97.04/97.24 21072 [hyper,21045,3,806] {-} coll($c1,$c11,$c9).
% 97.04/97.24 21080 [hyper,21045,3,806] {-} coll($c11,$c1,$c9).
% 97.04/97.24 21083 [hyper,21064,1] {-} coll($c10,$c9,$c11).
% 97.04/97.24 21175 [hyper,21072,1] {-} coll($c1,$c9,$c11).
% 97.04/97.24 21283 [hyper,21080,1] {-} coll($c11,$c9,$c1).
% 97.04/97.24 21595 [hyper,21283,3,21065] {-} coll($c1,$c10,$c11).
% 97.04/97.24 23278 [hyper,9570,6,709] {-} para($c3,$c1,$c10,$c11).
% 97.04/97.24 24366 [hyper,13856,54,348] {-} perp($c10,$c9,$c9,$c9).
% 97.04/97.24 26939 [hyper,17466,9,523] {-} para($c7,$c10,$c7,$c10).
% 97.04/97.24 27642 [hyper,17817,68,2725] {-} midp($c5,$c7,$c7).
% 97.04/97.24 29400 [hyper,18527,68,4963] {-} midp($c3,$c10,$c10).
% 97.04/97.24 29453 [hyper,29400,46,709,3566] {-} midp($c1,$c10,$c9).
% 97.04/97.24 29626 [hyper,29453,69] {-} cong($c1,$c10,$c1,$c9).
% 97.04/97.24 29627 [hyper,29453,65,792,330] {-} midp($c1,$c9,$c10).
% 97.04/97.24 29835 [hyper,29627,69] {-} cong($c1,$c9,$c1,$c10).
% 97.04/97.24 32366 [hyper,19583,68,5136] {-} midp($c2,$c10,$c10).
% 97.04/97.24 32460 [hyper,32366,46,904,3961] {-} midp($c1,$c10,$c8).
% 97.04/97.24 32766 [hyper,32460,64,29627] {-} para($c10,$c9,$c8,$c10).
% 97.04/97.24 32767 [hyper,32460,64,29453] {-} para($c10,$c10,$c8,$c9).
% 97.04/97.24 33781 [hyper,19934,67] {-} coll($c3,$c4,$c4).
% 97.04/97.24 33783 [hyper,33781,114] {-} coll($c4,$c4,$c3).
% 97.04/97.24 33786 [hyper,33783,114] {-} coll($c3,$c3,$c4).
% 97.04/97.24 33804 [hyper,33786,3,1262] {-} coll($c8,$c4,$c3).
% 97.04/97.24 33838 [hyper,33804,1] {-} coll($c8,$c3,$c4).
% 97.04/97.24 34275 [hyper,33838,3,1330] {-} coll($c4,$c10,$c8).
% 97.04/97.24 40067 [hyper,19945,56,167] {-} cong($c4,$c10,$c4,$c8).
% 97.04/97.24 40360 [hyper,20295,68,3943] {-} midp($c1,$c8,$c8).
% 97.04/97.24 40366 [hyper,40360,129,18875] {-} midp($c1,$c10,$c10).
% 97.04/97.24 40523 [hyper,40366,129,19757] {-} midp($c1,$c9,$c9).
% 97.04/97.24 40655 [hyper,40366,69] {-} cong($c1,$c10,$c1,$c10).
% 97.04/97.24 40939 [hyper,40523,46,708,5099] {-} midp($c3,$c9,$c10).
% 97.04/97.24 42149 [hyper,20296,118,901] {-} cyclic($c9,$c9,$c8,$c9).
% 97.04/97.24 49286 [hyper,23278,46,40939,21175] {-} midp($c1,$c9,$c11).
% 97.04/97.24 49287 [hyper,23278,46,29400,21595] {-} midp($c1,$c10,$c11).
% 97.04/97.24 49478 [hyper,49286,69] {-} cong($c1,$c9,$c1,$c11).
% 97.04/97.24 49493 [hyper,49286,64,40523] {-} para($c9,$c9,$c11,$c9).
% 97.04/97.24 49711 [hyper,49287,69] {-} cong($c1,$c10,$c1,$c11).
% 97.04/97.24 53140 [hyper,26939,129,27642] {-} midp($c5,$c10,$c10).
% 97.04/97.24 53151 [hyper,53140,129,17459] {-} midp($c5,$c8,$c8).
% 97.04/97.24 53484 [hyper,53151,129,21021] {-} midp($c5,$c11,$c11).
% 97.04/97.24 54111 [hyper,53484,65,21024,1295] {-} midp($c5,$c9,$c10).
% 97.04/97.24 57766 [hyper,29835,13,20296,901] {-} cyclic($c9,$c9,$c8,$c10).
% 97.04/97.24 61537 [hyper,40067,68,34275] {-} midp($c4,$c10,$c8).
% 97.04/97.24 61729 [hyper,61537,65,32767,32766] {-} midp($c4,$c10,$c9).
% 97.04/97.24 63629 [hyper,61729,53,24366] {-} cong($c10,$c4,$c9,$c4).
% 97.04/97.24 88914 [hyper,49478,13,20296,901] {-} cyclic($c9,$c9,$c8,$c11).
% 97.04/97.24 89487 [hyper,49711,119,40655] {-} cyclic($c10,$c10,$c11,$c11).
% 97.04/97.24 89489 [hyper,49711,119,29626] {-} cyclic($c10,$c9,$c11,$c11).
% 97.04/97.24 89493 [hyper,49711,118,40655] {-} cyclic($c10,$c10,$c11,$c10).
% 97.04/97.24 89495 [hyper,49711,118,29626] {-} cyclic($c10,$c9,$c11,$c9).
% 97.04/97.24 89515 [hyper,49711,13,40655,29626] {-} cyclic($c10,$c10,$c11,$c9).
% 97.04/97.24 156983 [hyper,88914,44,57766,42149,18349] {-} cong($c9,$c9,$c10,$c11).
% 97.04/97.24 157100 [hyper,89495,121,89489,21023] {-} cong($c10,$c9,$c9,$c9).
% 97.04/97.24 157108 [hyper,89515,44,89493,89487,21023] {-} cong($c10,$c10,$c9,$c10).
% 97.04/97.24 163022 [hyper,157100,25,156983] {-} cong($c10,$c9,$c10,$c11).
% 97.04/97.24 163053 [hyper,157108,57,63629] {-} perp($c10,$c9,$c10,$c4).
% 97.04/97.24 178292 [hyper,163022,68,21083] {-} midp($c10,$c9,$c11).
% 97.04/97.24 178299 [hyper,178292,129,49493] {-} midp($c10,$c9,$c9).
% 97.04/97.24 180873 [hyper,178299,45,54111] {-} para($c5,$c10,$c10,$c9).
% 97.04/97.24 331164 [hyper,180873,10,163053] {-} perp($c5,$c10,$c10,$c4).
% 97.04/97.24 331165 [binary,331164.1,113.1] {-} $F.
% 97.04/97.24
% 97.04/97.24 % SZS output end Refutation
% 97.04/97.24 ------------ end of proof -------------
% 97.04/97.24
% 97.04/97.24
% 97.04/97.24 Search stopped by max_proofs option.
% 97.04/97.24
% 97.04/97.24
% 97.04/97.24 Search stopped by max_proofs option.
% 97.04/97.24
% 97.04/97.24 ============ end of search ============
% 97.04/97.24
% 97.04/97.24 That finishes the proof of the theorem.
% 97.04/97.24
% 97.04/97.24 Process 31678 finished Sat Jun 18 14:47:30 2022
%------------------------------------------------------------------------------