TSTP Solution File: GEO606+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO606+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n028.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 06:21:07 EDT 2022
% Result : Theorem 45.10s 45.28s
% Output : Refutation 45.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO606+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n028.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 04:42:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36 ----- Otter 3.2, August 2001 -----
% 0.12/0.36 The process was started by sandbox on n028.cluster.edu,
% 0.12/0.36 Sat Jun 18 04:42:43 2022
% 0.12/0.36 The command was "./sos". The process ID is 18435.
% 0.12/0.36
% 0.12/0.36 set(prolog_style_variables).
% 0.12/0.36 set(auto).
% 0.12/0.36 dependent: set(auto1).
% 0.12/0.36 dependent: set(process_input).
% 0.12/0.36 dependent: clear(print_kept).
% 0.12/0.36 dependent: clear(print_new_demod).
% 0.12/0.36 dependent: clear(print_back_demod).
% 0.12/0.36 dependent: clear(print_back_sub).
% 0.12/0.36 dependent: set(control_memory).
% 0.12/0.36 dependent: assign(max_mem, 12000).
% 0.12/0.36 dependent: assign(pick_given_ratio, 4).
% 0.12/0.36 dependent: assign(stats_level, 1).
% 0.12/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36 dependent: assign(sos_limit, 5000).
% 0.12/0.36 dependent: assign(max_weight, 60).
% 0.12/0.36 clear(print_given).
% 0.12/0.36
% 0.12/0.36 formula_list(usable).
% 0.12/0.36
% 0.12/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.12/0.36
% 0.12/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.36 clauses in usable.
% 0.12/0.36
% 0.12/0.36 dependent: set(knuth_bendix).
% 0.12/0.36 dependent: set(para_from).
% 0.12/0.36 dependent: set(para_into).
% 0.12/0.36 dependent: clear(para_from_right).
% 0.12/0.36 dependent: clear(para_into_right).
% 0.12/0.36 dependent: set(para_from_vars).
% 0.12/0.36 dependent: set(eq_units_both_ways).
% 0.12/0.36 dependent: set(dynamic_demod_all).
% 0.12/0.36 dependent: set(dynamic_demod).
% 0.12/0.36 dependent: set(order_eq).
% 0.12/0.36 dependent: set(back_demod).
% 0.12/0.36 dependent: set(lrpo).
% 0.12/0.36 dependent: set(hyper_res).
% 0.12/0.36 dependent: set(unit_deletion).
% 0.12/0.36 dependent: set(factor).
% 0.12/0.36
% 0.12/0.36 ------------> process usable:
% 0.12/0.36 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).
% 0.12/0.36
% 0.12/0.36 ------------> process sos:
% 0.12/0.36 Following clause subsumed by 171 during input processing: 0 [copy,171,flip.1] {-} A=A.
% 0.12/0.36 171 back subsumes 146.
% 0.12/0.36 171 back subsumes 145.
% 0.12/0.36 171 back subsumes 144.
% 0.12/0.36 171 back subsumes 143.
% 0.12/0.36
% 0.12/0.36 ======= end of input processing =======
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 Failed to model usable list: disabling FINDER
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 -------------- Softie stats --------------
% 0.18/0.43
% 0.18/0.43 UPDATE_STOP: 300
% 0.18/0.43 SFINDER_TIME_LIMIT: 2
% 0.18/0.43 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.43 number of clauses in intial UL: 154
% 0.18/0.43 number of clauses initially in problem: 167
% 0.18/0.43 percentage of clauses intially in UL: 92
% 0.18/0.43 percentage of distinct symbols occuring in initial UL: 72
% 0.18/0.43 percent of all initial clauses that are short: 100
% 0.18/0.43 absolute distinct symbol count: 50
% 0.18/0.43 distinct predicate count: 12
% 0.18/0.43 distinct function count: 20
% 0.18/0.43 distinct constant count: 18
% 0.18/0.43
% 0.18/0.43 ---------- no more Softie stats ----------
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 =========== start of search ===========
% 5.91/6.16
% 5.91/6.16
% 5.91/6.16 Changing weight limit from 60 to 58.
% 5.91/6.16
% 5.91/6.16 Resetting weight limit to 58 after 265 givens.
% 5.91/6.16
% 6.73/6.93
% 6.73/6.93
% 6.73/6.93 Changing weight limit from 58 to 57.
% 6.73/6.93
% 6.73/6.93 Resetting weight limit to 57 after 270 givens.
% 6.73/6.93
% 7.12/7.33
% 7.12/7.33
% 7.12/7.33 Changing weight limit from 57 to 56.
% 7.12/7.33
% 7.12/7.33 Resetting weight limit to 56 after 275 givens.
% 7.12/7.33
% 9.22/9.41
% 9.22/9.41
% 9.22/9.41 Changing weight limit from 56 to 55.
% 9.22/9.41
% 9.22/9.41 Resetting weight limit to 55 after 290 givens.
% 9.22/9.41
% 11.50/11.68
% 11.50/11.68
% 11.50/11.68 Changing weight limit from 55 to 54.
% 11.50/11.68
% 11.50/11.68 Modelling stopped after 300 given clauses and 0.00 seconds
% 11.50/11.68
% 11.50/11.68
% 11.50/11.68 Resetting weight limit to 54 after 315 givens.
% 11.50/11.68
% 12.34/12.54
% 12.34/12.54
% 12.34/12.54 Changing weight limit from 54 to 52.
% 12.34/12.54
% 12.34/12.54 Resetting weight limit to 52 after 325 givens.
% 12.34/12.54
% 13.10/13.32
% 13.10/13.32
% 13.10/13.32 Changing weight limit from 52 to 51.
% 13.10/13.32
% 13.10/13.32 Resetting weight limit to 51 after 335 givens.
% 13.10/13.32
% 16.14/16.37
% 16.14/16.37
% 16.14/16.37 Changing weight limit from 51 to 50.
% 16.14/16.37
% 16.14/16.37 Resetting weight limit to 50 after 380 givens.
% 16.14/16.37
% 18.90/19.16
% 18.90/19.16
% 18.90/19.16 Changing weight limit from 50 to 49.
% 18.90/19.16
% 18.90/19.16 Resetting weight limit to 49 after 435 givens.
% 18.90/19.16
% 19.95/20.15
% 19.95/20.15
% 19.95/20.15 Changing weight limit from 49 to 47.
% 19.95/20.15
% 19.95/20.15 Resetting weight limit to 47 after 455 givens.
% 19.95/20.15
% 20.50/20.69
% 20.50/20.69
% 20.50/20.69 Changing weight limit from 47 to 46.
% 20.50/20.69
% 20.50/20.69 Resetting weight limit to 46 after 460 givens.
% 20.50/20.69
% 20.82/21.01
% 20.82/21.01
% 20.82/21.01 Changing weight limit from 46 to 45.
% 20.82/21.01
% 20.82/21.01 Resetting weight limit to 45 after 465 givens.
% 20.82/21.01
% 21.24/21.44
% 21.24/21.44
% 21.24/21.44 Changing weight limit from 45 to 35.
% 21.24/21.44
% 21.24/21.44 Resetting weight limit to 35 after 470 givens.
% 21.24/21.44
% 21.52/21.74
% 21.52/21.74
% 21.52/21.74 Changing weight limit from 35 to 34.
% 21.52/21.74
% 21.52/21.74 Resetting weight limit to 34 after 475 givens.
% 21.52/21.74
% 21.73/21.98
% 21.73/21.98
% 21.73/21.98 Changing weight limit from 34 to 33.
% 21.73/21.98
% 21.73/21.98 Resetting weight limit to 33 after 480 givens.
% 21.73/21.98
% 21.95/22.20
% 21.95/22.20
% 21.95/22.20 Changing weight limit from 33 to 31.
% 21.95/22.20
% 21.95/22.20 Resetting weight limit to 31 after 485 givens.
% 21.95/22.20
% 22.33/22.56
% 22.33/22.56
% 22.33/22.56 Changing weight limit from 31 to 30.
% 22.33/22.56
% 22.33/22.56 Resetting weight limit to 30 after 495 givens.
% 22.33/22.56
% 28.91/29.16
% 28.91/29.16
% 28.91/29.16 Changing weight limit from 30 to 29.
% 28.91/29.16
% 28.91/29.16 Resetting weight limit to 29 after 670 givens.
% 28.91/29.16
% 30.05/30.23
% 30.05/30.23
% 30.05/30.23 Changing weight limit from 29 to 26.
% 30.05/30.23
% 30.05/30.23 Resetting weight limit to 26 after 1305 givens.
% 30.05/30.23
% 30.05/30.28
% 30.05/30.28
% 30.05/30.28 Changing weight limit from 26 to 21.
% 30.05/30.28
% 30.05/30.28 Resetting weight limit to 21 after 1325 givens.
% 30.05/30.28
% 30.12/30.32
% 30.12/30.32
% 30.12/30.32 Changing weight limit from 21 to 18.
% 30.12/30.32
% 30.12/30.32 Resetting weight limit to 18 after 1345 givens.
% 30.12/30.32
% 30.56/30.78
% 30.56/30.78
% 30.56/30.78 Changing weight limit from 18 to 17.
% 30.56/30.78
% 30.56/30.78 Resetting weight limit to 17 after 1970 givens.
% 30.56/30.78
% 30.64/30.84
% 30.64/30.84
% 30.64/30.84 Changing weight limit from 17 to 16.
% 30.64/30.84
% 30.64/30.84 Resetting weight limit to 16 after 1995 givens.
% 30.64/30.84
% 30.64/30.88
% 30.64/30.88
% 30.64/30.88 Changing weight limit from 16 to 14.
% 30.64/30.88
% 30.64/30.88 Resetting weight limit to 14 after 2015 givens.
% 30.64/30.88
% 31.02/31.24
% 31.02/31.24
% 31.02/31.24 Changing weight limit from 14 to 13.
% 31.02/31.24
% 31.02/31.24 Resetting weight limit to 13 after 2175 givens.
% 31.02/31.24
% 31.22/31.45
% 31.22/31.45
% 31.22/31.45 Changing weight limit from 13 to 12.
% 31.22/31.45
% 31.22/31.45 Resetting weight limit to 12 after 2285 givens.
% 31.22/31.45
% 31.30/31.54
% 31.30/31.54
% 31.30/31.54 Changing weight limit from 12 to 11.
% 31.30/31.54
% 31.30/31.54 Resetting weight limit to 11 after 2345 givens.
% 31.30/31.54
% 31.30/31.56
% 31.30/31.56
% 31.30/31.56 Changing weight limit from 11 to 10.
% 31.30/31.56
% 31.30/31.56 Resetting weight limit to 10 after 2360 givens.
% 31.30/31.56
% 32.03/32.29
% 32.03/32.29
% 32.03/32.29 Changing weight limit from 10 to 9.
% 32.03/32.29
% 32.03/32.29 Resetting weight limit to 9 after 2615 givens.
% 32.03/32.29
% 45.10/45.28
% 45.10/45.28 -- HEY sandbox, WE HAVE A PROOF!! --
% 45.10/45.28
% 45.10/45.28 ----> UNIT CONFLICT at 44.34 sec ----> 219038 [binary,219037.1,113.1] {-} $F.
% 45.10/45.28
% 45.10/45.28 Length of proof is 155. Level of proof is 25.
% 45.10/45.28
% 45.10/45.28 ---------------- PROOF ----------------
% 45.10/45.28 % SZS status Theorem
% 45.10/45.28 % SZS output start Refutation
% 45.10/45.28
% 45.10/45.28 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 45.10/45.28 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 45.10/45.28 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 45.10/45.28 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 45.10/45.28 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 45.10/45.28 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 45.10/45.28 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 45.10/45.28 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 45.10/45.28 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 45.10/45.28 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 45.10/45.28 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 45.10/45.28 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 45.10/45.28 16 [] {+} -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 45.10/45.28 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 45.10/45.28 19 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(C,D,A,B,G,H,E,F).
% 45.10/45.28 39 [] {+} -eqangle(A,B,C,D,E,F,C,D)|para(A,B,E,F).
% 45.10/45.28 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 45.10/45.28 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 45.10/45.28 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).
% 45.10/45.28 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 45.10/45.28 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 45.10/45.28 56 [] {+} -midp(A,B,C)| -perp(D,A,B,C)|cong(D,B,D,C).
% 45.10/45.28 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 45.10/45.28 58 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)| -cyclic(A,C,B,D)|perp(B,A,A,D).
% 45.10/45.28 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 45.10/45.28 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 45.10/45.28 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 45.10/45.28 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 45.10/45.28 113 [] {+} -perp($c11,$c12,$c15,$c14).
% 45.10/45.28 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 45.10/45.28 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 45.10/45.28 123 [factor,44.2.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,E)|cong(A,B,D,E).
% 45.10/45.28 126 [factor,58.1.2] {+} -cong(A,B,C,B)| -cyclic(A,C,B,B)|perp(B,A,A,B).
% 45.10/45.28 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 45.10/45.28 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 45.10/45.28 159 [] {-} perp($c16,$c18,$c16,$c17).
% 45.10/45.28 164 [] {-} coll($c14,$c15,$c18).
% 45.10/45.28 167 [] {-} coll($c12,$c15,$c13).
% 45.10/45.28 170 [] {-} coll($c11,$c12,$c17).
% 45.10/45.28 176 [hyper,159,8] {-} perp($c16,$c17,$c16,$c18).
% 45.10/45.28 177 [hyper,159,7] {-} perp($c16,$c18,$c17,$c16).
% 45.10/45.28 194 [hyper,164,114] {-} coll($c18,$c18,$c14).
% 45.10/45.28 195 [hyper,164,2] {-} coll($c15,$c14,$c18).
% 45.10/45.28 210 [hyper,167,2] {-} coll($c15,$c12,$c13).
% 45.10/45.28 211 [hyper,167,1] {-} coll($c12,$c13,$c15).
% 45.10/45.28 225 [hyper,170,2] {-} coll($c12,$c11,$c17).
% 45.10/45.28 226 [hyper,170,1] {-} coll($c11,$c17,$c12).
% 45.10/45.28 270 [hyper,195,114] {-} coll($c18,$c18,$c15).
% 45.10/45.28 330 [hyper,210,1] {-} coll($c15,$c13,$c12).
% 45.10/45.28 343 [hyper,211,114] {-} coll($c15,$c15,$c12).
% 45.10/45.28 371 [hyper,225,114] {-} coll($c17,$c17,$c12).
% 45.10/45.28 402 [hyper,226,114] {-} coll($c12,$c12,$c11).
% 45.10/45.28 443 [hyper,270,114] {-} coll($c15,$c15,$c18).
% 45.10/45.28 444 [hyper,270,1] {-} coll($c18,$c15,$c18).
% 45.10/45.28 572 [hyper,330,114] {-} coll($c12,$c12,$c15).
% 45.10/45.28 658 [hyper,371,114] {-} coll($c12,$c12,$c17).
% 45.10/45.28 788 [hyper,443,3,343] {-} coll($c12,$c18,$c15).
% 45.10/45.28 789 [hyper,443,3,343] {-} coll($c18,$c12,$c15).
% 45.10/45.28 1035 [hyper,572,3,402] {-} coll($c15,$c11,$c12).
% 45.10/45.28 1163 [hyper,176,9,159] {-} para($c16,$c18,$c16,$c18).
% 45.10/45.28 1165 [hyper,176,7] {-} perp($c16,$c17,$c18,$c16).
% 45.10/45.28 1206 [hyper,658,3,572] {-} coll($c15,$c17,$c12).
% 45.10/45.28 1235 [hyper,177,9,176] {-} para($c16,$c17,$c17,$c16).
% 45.10/45.28 1236 [hyper,177,8] {-} perp($c17,$c16,$c16,$c18).
% 45.10/45.28 1571 [hyper,788,1] {-} coll($c12,$c15,$c18).
% 45.10/45.28 1584 [hyper,789,1] {-} coll($c18,$c15,$c12).
% 45.10/45.28 2116 [hyper,1035,1] {-} coll($c15,$c12,$c11).
% 45.10/45.28 2389 [hyper,1206,1] {-} coll($c15,$c12,$c17).
% 45.10/45.28 2681 [hyper,1571,114] {-} coll($c18,$c18,$c12).
% 45.10/45.28 2689 [hyper,1571,2] {-} coll($c15,$c12,$c18).
% 45.10/45.28 2706 [hyper,1584,3,444] {-} coll($c12,$c18,$c18).
% 45.10/45.28 3845 [hyper,2689,3,2389] {-} coll($c17,$c18,$c15).
% 45.10/45.28 3846 [hyper,2689,3,2116] {-} coll($c11,$c18,$c15).
% 45.10/45.28 3848 [hyper,2689,3,2116] {-} coll($c18,$c11,$c15).
% 45.10/45.28 5985 [hyper,3845,1] {-} coll($c17,$c15,$c18).
% 45.10/45.28 5998 [hyper,3846,1] {-} coll($c11,$c15,$c18).
% 45.10/45.28 6024 [hyper,3848,1] {-} coll($c18,$c15,$c11).
% 45.10/45.28 6499 [hyper,5985,114] {-} coll($c18,$c18,$c17).
% 45.10/45.28 6522 [hyper,5998,114] {-} coll($c18,$c18,$c11).
% 45.10/45.28 6572 [hyper,6024,3,444] {-} coll($c11,$c18,$c18).
% 45.10/45.28 7727 [hyper,1163,67] {-} coll($c16,$c18,$c18).
% 45.10/45.28 7728 [hyper,1163,40] {-} eqangle($c16,$c18,A,B,$c16,$c18,A,B).
% 45.10/45.28 7729 [hyper,1163,4] {-} para($c16,$c18,$c18,$c16).
% 45.10/45.28 7746 [hyper,7727,114] {-} coll($c18,$c18,$c16).
% 45.10/45.28 7760 [hyper,7746,114] {-} coll($c16,$c16,$c18).
% 45.10/45.28 7763 [hyper,7746,3,6522] {-} coll($c11,$c16,$c18).
% 45.10/45.28 7764 [hyper,7746,3,6499] {-} coll($c17,$c16,$c18).
% 45.10/45.28 7766 [hyper,7746,3,2681] {-} coll($c12,$c16,$c18).
% 45.10/45.28 7767 [hyper,7746,3,270] {-} coll($c15,$c16,$c18).
% 45.10/45.28 7768 [hyper,7746,3,194] {-} coll($c14,$c16,$c18).
% 45.10/45.28 7770 [hyper,7746,3,6499] {-} coll($c16,$c17,$c18).
% 45.10/45.28 7801 [hyper,7760,1] {-} coll($c16,$c18,$c16).
% 45.10/45.28 7814 [hyper,7763,1] {-} coll($c11,$c18,$c16).
% 45.10/45.28 7853 [hyper,7766,1] {-} coll($c12,$c18,$c16).
% 45.10/45.28 7866 [hyper,7767,1] {-} coll($c15,$c18,$c16).
% 45.10/45.28 7879 [hyper,7768,1] {-} coll($c14,$c18,$c16).
% 45.10/45.28 7905 [hyper,7770,1] {-} coll($c16,$c18,$c17).
% 45.10/45.28 7970 [hyper,7801,114] {-} coll($c16,$c16,$c16).
% 45.10/45.28 7971 [hyper,7801,3,7727] {-} coll($c18,$c16,$c16).
% 45.10/45.28 7984 [hyper,7814,114] {-} coll($c16,$c16,$c11).
% 45.10/45.28 8065 [hyper,7853,114] {-} coll($c16,$c16,$c12).
% 45.10/45.28 8092 [hyper,7866,114] {-} coll($c16,$c16,$c15).
% 45.10/45.28 8119 [hyper,7879,114] {-} coll($c16,$c16,$c14).
% 45.10/45.28 10253 [hyper,1165,8] {-} perp($c18,$c16,$c16,$c17).
% 45.10/45.28 10399 [hyper,1235,5] {-} para($c17,$c16,$c16,$c17).
% 45.10/45.28 10688 [hyper,7729,5] {-} para($c18,$c16,$c16,$c18).
% 45.10/45.28 10828 [hyper,10253,9,1165] {-} para($c18,$c16,$c18,$c16).
% 45.10/45.28 18142 [hyper,7728,43,8119] {-} cyclic($c18,$c14,$c16,$c16).
% 45.10/45.28 18143 [hyper,7728,43,8092] {-} cyclic($c18,$c15,$c16,$c16).
% 45.10/45.28 18144 [hyper,7728,43,8065] {-} cyclic($c18,$c12,$c16,$c16).
% 45.10/45.28 18147 [hyper,7728,43,7984] {-} cyclic($c18,$c11,$c16,$c16).
% 45.10/45.28 18148 [hyper,7728,43,7970] {-} cyclic($c18,$c16,$c16,$c16).
% 45.10/45.28 18149 [hyper,7728,43,7760] {-} cyclic($c18,$c18,$c16,$c16).
% 45.10/45.28 18153 [hyper,7728,19] {-} eqangle(A,B,$c16,$c18,A,B,$c16,$c18).
% 45.10/45.28 18156 [hyper,18142,15] {-} cyclic($c18,$c16,$c14,$c16).
% 45.10/45.28 18159 [hyper,18143,15] {-} cyclic($c18,$c16,$c15,$c16).
% 45.10/45.28 18161 [hyper,18144,16] {-} cyclic($c12,$c18,$c16,$c16).
% 45.10/45.28 18162 [hyper,18144,15] {-} cyclic($c18,$c16,$c12,$c16).
% 45.10/45.28 18175 [hyper,18147,16] {-} cyclic($c11,$c18,$c16,$c16).
% 45.10/45.28 18176 [hyper,18147,15] {-} cyclic($c18,$c16,$c11,$c16).
% 45.10/45.28 18179 [hyper,18149,15] {-} cyclic($c18,$c16,$c18,$c16).
% 45.10/45.28 18187 [hyper,18156,16] {-} cyclic($c16,$c18,$c14,$c16).
% 45.10/45.28 18197 [hyper,18159,16] {-} cyclic($c16,$c18,$c15,$c16).
% 45.10/45.28 18201 [hyper,18161,15] {-} cyclic($c12,$c16,$c18,$c16).
% 45.10/45.28 18207 [hyper,18162,14] {-} cyclic($c18,$c16,$c16,$c12).
% 45.10/45.28 18260 [hyper,18175,15] {-} cyclic($c11,$c16,$c18,$c16).
% 45.10/45.28 18263 [hyper,18176,14] {-} cyclic($c18,$c16,$c16,$c11).
% 45.10/45.28 18286 [hyper,18179,16] {-} cyclic($c16,$c18,$c18,$c16).
% 45.10/45.28 18287 [hyper,18179,14] {-} cyclic($c18,$c16,$c16,$c18).
% 45.10/45.28 18294 [hyper,18187,14] {-} cyclic($c16,$c18,$c16,$c14).
% 45.10/45.28 18323 [hyper,18197,14] {-} cyclic($c16,$c18,$c16,$c15).
% 45.10/45.28 18351 [hyper,18201,16] {-} cyclic($c16,$c12,$c18,$c16).
% 45.10/45.28 18374 [hyper,18207,120] {-} cyclic($c16,$c16,$c12,$c12).
% 45.10/45.28 18456 [hyper,18260,16] {-} cyclic($c16,$c11,$c18,$c16).
% 45.10/45.28 18486 [hyper,18263,120] {-} cyclic($c16,$c16,$c11,$c11).
% 45.10/45.28 18503 [hyper,18286,14] {-} cyclic($c16,$c18,$c16,$c18).
% 45.10/45.28 18504 [hyper,18287,123,18148,7728] {-} cong($c18,$c16,$c18,$c16).
% 45.10/45.28 18508 [hyper,18287,17,18263] {-} cyclic($c16,$c16,$c11,$c18).
% 45.10/45.28 18511 [hyper,18287,17,18207] {-} cyclic($c16,$c16,$c12,$c18).
% 45.10/45.28 18550 [hyper,18294,120] {-} cyclic($c18,$c16,$c14,$c14).
% 45.10/45.28 18613 [hyper,18323,120] {-} cyclic($c18,$c16,$c15,$c15).
% 45.10/45.28 19296 [hyper,18503,17,18323] {-} cyclic($c18,$c16,$c15,$c18).
% 45.10/45.28 19297 [hyper,18503,17,18294] {-} cyclic($c18,$c16,$c14,$c18).
% 45.10/45.28 19329 [hyper,18504,126,18149] {-} perp($c16,$c18,$c18,$c16).
% 45.10/45.28 19343 [hyper,18504,68,7971] {-} midp($c18,$c16,$c16).
% 45.10/45.28 19353 [hyper,19343,129,1163] {-} midp($c18,$c18,$c18).
% 45.10/45.28 19356 [hyper,19343,46,10688,7760] {-} midp($c16,$c16,$c18).
% 45.10/45.28 19393 [hyper,19353,46,10828,7801] {-} midp($c16,$c18,$c16).
% 45.10/45.28 19429 [hyper,19356,128] {-} para($c16,$c16,$c18,$c18).
% 45.10/45.28 19460 [hyper,19356,56,1236] {-} cong($c17,$c16,$c17,$c18).
% 45.10/45.28 19668 [hyper,18508,120] {-} cyclic($c16,$c11,$c18,$c18).
% 45.10/45.28 19681 [hyper,18508,17,18486] {-} cyclic($c16,$c11,$c18,$c11).
% 45.10/45.28 19738 [hyper,18511,120] {-} cyclic($c16,$c12,$c18,$c18).
% 45.10/45.28 19751 [hyper,18511,17,18374] {-} cyclic($c16,$c12,$c18,$c12).
% 45.10/45.28 19889 [hyper,18550,15] {-} cyclic($c18,$c14,$c16,$c14).
% 45.10/45.28 19931 [hyper,18613,15] {-} cyclic($c18,$c15,$c16,$c15).
% 45.10/45.28 23172 [hyper,19296,15] {-} cyclic($c18,$c15,$c16,$c18).
% 45.10/45.28 23174 [hyper,19297,15] {-} cyclic($c18,$c14,$c16,$c18).
% 45.10/45.28 23333 [hyper,19329,9,1236] {-} para($c17,$c16,$c18,$c16).
% 45.10/45.28 24495 [hyper,19460,68,7764] {-} midp($c17,$c16,$c18).
% 45.10/45.28 24532 [hyper,24495,65,7729,19429] {-} midp($c17,$c18,$c16).
% 45.10/45.28 24575 [hyper,24532,46,10399,7905] {-} midp($c16,$c18,$c17).
% 45.10/45.28 24626 [hyper,24575,11] {-} midp($c16,$c17,$c18).
% 45.10/45.28 25282 [hyper,19668,17,18456] {-} cyclic($c11,$c18,$c16,$c18).
% 45.10/45.28 25492 [hyper,19681,17,18456] {-} cyclic($c11,$c18,$c16,$c11).
% 45.10/45.28 25878 [hyper,19738,17,18351] {-} cyclic($c12,$c18,$c16,$c18).
% 45.10/45.28 26043 [hyper,19751,17,18351] {-} cyclic($c12,$c18,$c16,$c12).
% 45.10/45.28 29892 [hyper,23172,44,19931,18143,7728] {-} cong($c18,$c15,$c18,$c15).
% 45.10/45.28 29894 [hyper,23174,44,19889,18142,7728] {-} cong($c18,$c14,$c18,$c14).
% 45.10/45.28 29912 [hyper,23333,129,24626] {-} midp($c16,$c16,$c16).
% 45.10/45.28 29933 [hyper,29912,129,1163] {-} midp($c16,$c18,$c18).
% 45.10/45.28 29964 [hyper,29912,64,19356] {-} para($c16,$c16,$c18,$c16).
% 45.10/45.28 30138 [hyper,29933,64,19393] {-} para($c18,$c18,$c18,$c16).
% 45.10/45.28 30139 [hyper,29933,64,19356] {-} para($c18,$c16,$c18,$c18).
% 45.10/45.28 32762 [hyper,18153,44,26043,25878,18161] {-} cong($c12,$c18,$c12,$c18).
% 45.10/45.28 32764 [hyper,18153,44,25492,25282,18175] {-} cong($c11,$c18,$c11,$c18).
% 45.10/45.28 32766 [hyper,18153,39] {-} para(A,B,A,B).
% 45.10/45.28 34853 [hyper,29894,57,29892] {-} perp($c18,$c18,$c15,$c14).
% 45.10/45.28 42877 [hyper,32762,68,2706] {-} midp($c12,$c18,$c18).
% 45.10/45.28 43049 [hyper,42877,65,30139,30138] {-} midp($c12,$c16,$c18).
% 45.10/45.28 43101 [hyper,43049,129,29964] {-} midp($c12,$c16,$c16).
% 45.10/45.28 50622 [hyper,32764,68,6572] {-} midp($c11,$c18,$c18).
% 45.10/45.28 50863 [hyper,50622,65,30139,30138] {-} midp($c11,$c16,$c18).
% 45.10/45.28 50933 [hyper,50863,129,29964] {-} midp($c11,$c16,$c16).
% 45.10/45.28 53128 [hyper,32766,129,50933] {-} midp($c11,A,A).
% 45.10/45.28 53130 [hyper,32766,129,43101] {-} midp($c12,A,A).
% 45.10/45.28 54358 [hyper,53130,45,53128] {-} para($c11,$c12,A,A).
% 45.10/45.28 219037 [hyper,54358,10,34853] {-} perp($c11,$c12,$c15,$c14).
% 45.10/45.28 219038 [binary,219037.1,113.1] {-} $F.
% 45.10/45.28
% 45.10/45.28 % SZS output end Refutation
% 45.10/45.28 ------------ end of proof -------------
% 45.10/45.28
% 45.10/45.28
% 45.10/45.28 Search stopped by max_proofs option.
% 45.10/45.28
% 45.10/45.28
% 45.10/45.28 Search stopped by max_proofs option.
% 45.10/45.28
% 45.10/45.28 ============ end of search ============
% 45.10/45.28
% 45.10/45.28 That finishes the proof of the theorem.
% 45.10/45.28
% 45.10/45.28 Process 18435 finished Sat Jun 18 04:43:28 2022
%------------------------------------------------------------------------------