TSTP Solution File: GEO629+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO629+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n005.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 06:21:14 EDT 2022
% Result : Theorem 61.85s 62.04s
% Output : Refutation 61.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO629+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n005.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 15:47:23 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 n005.cluster.edu,
% 0.12/0.36 Sat Jun 18 15:47:23 2022
% 0.12/0.36 The command was "./sos". The process ID is 22234.
% 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 172 during input processing: 0 [copy,172,flip.1] {-} A=A.
% 0.12/0.36 172 back subsumes 146.
% 0.12/0.36 172 back subsumes 145.
% 0.12/0.36 172 back subsumes 144.
% 0.12/0.36 172 back subsumes 143.
% 0.12/0.36
% 0.12/0.36 ======= end of input processing =======
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 Failed to model usable list: disabling FINDER
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 -------------- Softie stats --------------
% 0.19/0.42
% 0.19/0.42 UPDATE_STOP: 300
% 0.19/0.42 SFINDER_TIME_LIMIT: 2
% 0.19/0.42 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.42 number of clauses in intial UL: 154
% 0.19/0.42 number of clauses initially in problem: 168
% 0.19/0.42 percentage of clauses intially in UL: 91
% 0.19/0.42 percentage of distinct symbols occuring in initial UL: 78
% 0.19/0.42 percent of all initial clauses that are short: 100
% 0.19/0.42 absolute distinct symbol count: 46
% 0.19/0.42 distinct predicate count: 12
% 0.19/0.42 distinct function count: 20
% 0.19/0.42 distinct constant count: 14
% 0.19/0.42
% 0.19/0.42 ---------- no more Softie stats ----------
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 =========== start of search ===========
% 6.75/6.96
% 6.75/6.96
% 6.75/6.96 Changing weight limit from 60 to 57.
% 6.75/6.96
% 6.75/6.96 Resetting weight limit to 57 after 255 givens.
% 6.75/6.96
% 7.51/7.68
% 7.51/7.68
% 7.51/7.68 Changing weight limit from 57 to 56.
% 7.51/7.68
% 7.51/7.68 Resetting weight limit to 56 after 260 givens.
% 7.51/7.68
% 9.83/10.03
% 9.83/10.03
% 9.83/10.03 Changing weight limit from 56 to 55.
% 9.83/10.03
% 9.83/10.03 Resetting weight limit to 55 after 275 givens.
% 9.83/10.03
% 12.37/12.55
% 12.37/12.55
% 12.37/12.55 Changing weight limit from 55 to 54.
% 12.37/12.55
% 12.37/12.55 Modelling stopped after 300 given clauses and 0.00 seconds
% 12.37/12.55
% 12.37/12.55
% 12.37/12.55 Resetting weight limit to 54 after 305 givens.
% 12.37/12.55
% 13.35/13.52
% 13.35/13.52
% 13.35/13.52 Changing weight limit from 54 to 52.
% 13.35/13.52
% 13.35/13.52 Resetting weight limit to 52 after 320 givens.
% 13.35/13.52
% 14.48/14.69
% 14.48/14.69
% 14.48/14.69 Changing weight limit from 52 to 51.
% 14.48/14.69
% 14.48/14.69 Resetting weight limit to 51 after 335 givens.
% 14.48/14.69
% 18.20/18.42
% 18.20/18.42
% 18.20/18.42 Changing weight limit from 51 to 50.
% 18.20/18.42
% 18.20/18.42 Resetting weight limit to 50 after 395 givens.
% 18.20/18.42
% 21.61/21.78
% 21.61/21.78
% 21.61/21.78 Changing weight limit from 50 to 49.
% 21.61/21.78
% 21.61/21.78 Resetting weight limit to 49 after 450 givens.
% 21.61/21.78
% 22.71/22.91
% 22.71/22.91
% 22.71/22.91 Changing weight limit from 49 to 47.
% 22.71/22.91
% 22.71/22.91 Resetting weight limit to 47 after 470 givens.
% 22.71/22.91
% 23.41/23.57
% 23.41/23.57
% 23.41/23.57 Changing weight limit from 47 to 46.
% 23.41/23.57
% 23.41/23.57 Resetting weight limit to 46 after 475 givens.
% 23.41/23.57
% 23.77/24.01
% 23.77/24.01
% 23.77/24.01 Changing weight limit from 46 to 45.
% 23.77/24.01
% 23.77/24.01 Resetting weight limit to 45 after 480 givens.
% 23.77/24.01
% 24.30/24.48
% 24.30/24.48
% 24.30/24.48 Changing weight limit from 45 to 35.
% 24.30/24.48
% 24.30/24.48 Resetting weight limit to 35 after 485 givens.
% 24.30/24.48
% 24.47/24.65
% 24.47/24.65
% 24.47/24.65 Changing weight limit from 35 to 34.
% 24.47/24.65
% 24.47/24.65 Resetting weight limit to 34 after 490 givens.
% 24.47/24.65
% 24.59/24.77
% 24.59/24.77
% 24.59/24.77 Changing weight limit from 34 to 31.
% 24.59/24.77
% 24.59/24.77 Resetting weight limit to 31 after 495 givens.
% 24.59/24.77
% 25.05/25.24
% 25.05/25.24
% 25.05/25.24 Changing weight limit from 31 to 30.
% 25.05/25.24
% 25.05/25.24 Resetting weight limit to 30 after 510 givens.
% 25.05/25.24
% 33.16/33.34
% 33.16/33.34
% 33.16/33.34 Changing weight limit from 30 to 29.
% 33.16/33.34
% 33.16/33.34 Resetting weight limit to 29 after 820 givens.
% 33.16/33.34
% 35.49/35.67
% 35.49/35.67
% 35.49/35.67 Changing weight limit from 29 to 10.
% 35.49/35.67
% 35.49/35.67 Resetting weight limit to 10 after 1305 givens.
% 35.49/35.67
% 37.29/37.49
% 37.29/37.49
% 37.29/37.49 Changing weight limit from 10 to 9.
% 37.29/37.49
% 37.29/37.49 Resetting weight limit to 9 after 2520 givens.
% 37.29/37.49
% 37.79/38.03
% 37.79/38.03
% 37.79/38.03 Changing weight limit from 9 to 5.
% 37.79/38.03
% 37.79/38.03 Resetting weight limit to 5 after 2805 givens.
% 37.79/38.03
% 39.80/40.03
% 39.80/40.03
% 39.80/40.03 Changing weight limit from 5 to 6.
% 39.80/40.03
% 39.80/40.03 Resetting weight limit to 6 after 5335 givens.
% 39.80/40.03
% 39.80/40.04
% 39.80/40.04
% 39.80/40.04 Changing weight limit from 6 to 7.
% 39.80/40.04
% 39.80/40.04 Resetting weight limit to 7 after 5340 givens.
% 39.80/40.04
% 39.80/40.04
% 39.80/40.04
% 39.80/40.04 Changing weight limit from 7 to 8.
% 39.80/40.04
% 39.80/40.04 Resetting weight limit to 8 after 5345 givens.
% 39.80/40.04
% 39.80/40.04
% 39.80/40.04
% 39.80/40.04 Changing weight limit from 8 to 9.
% 39.80/40.04
% 39.80/40.04 Resetting weight limit to 9 after 5350 givens.
% 39.80/40.04
% 39.80/40.04
% 39.80/40.04
% 39.80/40.04 Changing weight limit from 9 to 10.
% 39.80/40.04
% 39.80/40.04 Resetting weight limit to 10 after 5355 givens.
% 39.80/40.04
% 39.80/40.05
% 39.80/40.05
% 39.80/40.05 Changing weight limit from 10 to 11.
% 39.80/40.05
% 39.80/40.05 Resetting weight limit to 11 after 5360 givens.
% 39.80/40.05
% 39.80/40.05
% 39.80/40.05
% 39.80/40.05 Changing weight limit from 11 to 12.
% 39.80/40.05
% 39.80/40.05 Resetting weight limit to 12 after 5365 givens.
% 39.80/40.05
% 39.80/40.05
% 39.80/40.05
% 39.80/40.05 Changing weight limit from 12 to 13.
% 39.80/40.05
% 39.80/40.05 Resetting weight limit to 13 after 5370 givens.
% 39.80/40.05
% 39.80/40.06
% 39.80/40.06
% 39.80/40.06 Changing weight limit from 13 to 14.
% 39.80/40.06
% 39.80/40.06 Resetting weight limit to 14 after 5375 givens.
% 39.80/40.06
% 39.80/40.06
% 39.80/40.06
% 39.80/40.06 Changing weight limit from 14 to 15.
% 39.80/40.06
% 39.80/40.06 Resetting weight limit to 15 after 5380 givens.
% 39.80/40.06
% 39.80/40.06
% 39.80/40.06
% 39.80/40.06 Changing weight limit from 15 to 16.
% 39.80/40.06
% 39.80/40.06 Resetting weight limit to 16 after 5385 givens.
% 39.80/40.06
% 39.90/40.07
% 39.90/40.07
% 39.90/40.07 Changing weight limit from 16 to 17.
% 39.90/40.07
% 39.90/40.07 Resetting weight limit to 17 after 5390 givens.
% 39.90/40.07
% 39.90/40.07
% 39.90/40.07
% 39.90/40.07 Changing weight limit from 17 to 18.
% 39.90/40.07
% 39.90/40.07 Resetting weight limit to 18 after 5395 givens.
% 39.90/40.07
% 39.90/40.08
% 39.90/40.08
% 39.90/40.08 Changing weight limit from 18 to 19.
% 39.90/40.08
% 39.90/40.08 Resetting weight limit to 19 after 5400 givens.
% 39.90/40.08
% 39.90/40.08
% 39.90/40.08
% 39.90/40.08 Changing weight limit from 19 to 20.
% 39.90/40.08
% 39.90/40.08 Resetting weight limit to 20 after 5405 givens.
% 39.90/40.08
% 39.90/40.08
% 39.90/40.08
% 39.90/40.08 Changing weight limit from 20 to 21.
% 39.90/40.08
% 39.90/40.08 Resetting weight limit to 21 after 5410 givens.
% 39.90/40.08
% 39.90/40.09
% 39.90/40.09
% 39.90/40.09 Changing weight limit from 21 to 22.
% 39.90/40.09
% 39.90/40.09 Resetting weight limit to 22 after 5415 givens.
% 39.90/40.09
% 39.90/40.09
% 39.90/40.09
% 39.90/40.09 Changing weight limit from 22 to 23.
% 39.90/40.09
% 39.90/40.09 Resetting weight limit to 23 after 5420 givens.
% 39.90/40.09
% 39.90/40.09
% 39.90/40.09
% 39.90/40.09 Changing weight limit from 23 to 24.
% 39.90/40.09
% 39.90/40.09 Resetting weight limit to 24 after 5425 givens.
% 39.90/40.09
% 39.93/40.09
% 39.93/40.09
% 39.93/40.09 Changing weight limit from 24 to 25.
% 39.93/40.09
% 39.93/40.09 Resetting weight limit to 25 after 5430 givens.
% 39.93/40.09
% 39.93/40.10
% 39.93/40.10
% 39.93/40.10 Changing weight limit from 25 to 26.
% 39.93/40.10
% 39.93/40.10 Resetting weight limit to 26 after 5435 givens.
% 39.93/40.10
% 39.93/40.10
% 39.93/40.10
% 39.93/40.10 Changing weight limit from 26 to 27.
% 39.93/40.10
% 39.93/40.10 Resetting weight limit to 27 after 5440 givens.
% 39.93/40.10
% 39.93/40.11
% 39.93/40.11
% 39.93/40.11 Changing weight limit from 27 to 28.
% 39.93/40.11
% 39.93/40.11 Resetting weight limit to 28 after 5445 givens.
% 39.93/40.11
% 39.93/40.11
% 39.93/40.11
% 39.93/40.11 Changing weight limit from 28 to 29.
% 39.93/40.11
% 39.93/40.11 Resetting weight limit to 29 after 5450 givens.
% 39.93/40.11
% 39.93/40.11
% 39.93/40.11
% 39.93/40.11 Changing weight limit from 29 to 30.
% 39.93/40.11
% 39.93/40.11 Resetting weight limit to 30 after 5455 givens.
% 39.93/40.11
% 50.79/51.01
% 50.79/51.01
% 50.79/51.01 Changing weight limit from 30 to 9.
% 50.79/51.01
% 50.79/51.01 Resetting weight limit to 9 after 8005 givens.
% 50.79/51.01
% 52.10/52.27
% 52.10/52.27
% 52.10/52.27 Changing weight limit from 9 to 8.
% 52.10/52.27
% 52.10/52.27 Resetting weight limit to 8 after 8715 givens.
% 52.10/52.27
% 52.10/52.32
% 52.10/52.32
% 52.10/52.32 Changing weight limit from 8 to 5.
% 52.10/52.32
% 52.10/52.32 Resetting weight limit to 5 after 8740 givens.
% 52.10/52.32
% 61.85/62.04
% 61.85/62.04 -- HEY sandbox, WE HAVE A PROOF!! --
% 61.85/62.04
% 61.85/62.04 ----> UNIT CONFLICT at 61.27 sec ----> 111101 [binary,111100.1,113.1] {-} $F.
% 61.85/62.04
% 61.85/62.04 Length of proof is 229. Level of proof is 28.
% 61.85/62.04
% 61.85/62.04 ---------------- PROOF ----------------
% 61.85/62.04 % SZS status Theorem
% 61.85/62.04 % SZS output start Refutation
% 61.85/62.04
% 61.85/62.04 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 61.85/62.04 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 61.85/62.04 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 61.85/62.04 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 61.85/62.04 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 61.85/62.04 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 61.85/62.04 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 61.85/62.04 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 61.85/62.04 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 61.85/62.04 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 61.85/62.04 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 61.85/62.04 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 61.85/62.04 16 [] {+} -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 61.85/62.04 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 61.85/62.04 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 61.85/62.04 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 61.85/62.04 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 61.85/62.04 44 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -cyclic(A,B,C,F)| -eqangle(C,A,C,B,F,D,F,E)|cong(A,B,D,E).
% 61.85/62.04 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 61.85/62.04 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 61.85/62.04 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 61.85/62.04 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 61.85/62.04 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 61.85/62.04 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 61.85/62.04 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 61.85/62.04 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 61.85/62.04 113 [] {+} -para($c4,$c10,$c5,$c6).
% 61.85/62.04 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 61.85/62.04 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 61.85/62.04 123 [factor,44.2.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,E)|cong(A,B,D,E).
% 61.85/62.04 125 [factor,57.1.2] {+} -cong(A,B,C,B)|perp(A,C,B,B).
% 61.85/62.04 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 61.85/62.04 161 [] {-} perp($c9,$c10,$c14,$c12).
% 61.85/62.04 162 [] {-} coll($c9,$c14,$c12).
% 61.85/62.04 163 [] {-} perp($c8,$c10,$c14,$c13).
% 61.85/62.04 164 [] {-} coll($c8,$c14,$c13).
% 61.85/62.04 166 [] {-} perp($c6,$c7,$c14,$c12).
% 61.85/62.04 167 [] {-} coll($c6,$c14,$c12).
% 61.85/62.04 168 [] {-} perp($c5,$c7,$c14,$c13).
% 61.85/62.04 169 [] {-} coll($c5,$c14,$c13).
% 61.85/62.04 170 [] {-} para($c9,$c8,$c4,$c7).
% 61.85/62.04 190 [hyper,162,114] {-} coll($c12,$c12,$c9).
% 61.85/62.04 192 [hyper,162,1] {-} coll($c9,$c12,$c14).
% 61.85/62.04 205 [hyper,164,114] {-} coll($c13,$c13,$c8).
% 61.85/62.04 207 [hyper,164,1] {-} coll($c8,$c13,$c14).
% 61.85/62.04 220 [hyper,167,114] {-} coll($c12,$c12,$c6).
% 61.85/62.04 222 [hyper,167,1] {-} coll($c6,$c12,$c14).
% 61.85/62.04 252 [hyper,169,114] {-} coll($c13,$c13,$c5).
% 61.85/62.04 254 [hyper,169,1] {-} coll($c5,$c13,$c14).
% 61.85/62.04 267 [hyper,190,114] {-} coll($c9,$c9,$c12).
% 61.85/62.04 295 [hyper,192,114] {-} coll($c14,$c14,$c9).
% 61.85/62.04 309 [hyper,161,8] {-} perp($c14,$c12,$c9,$c10).
% 61.85/62.04 327 [hyper,205,114] {-} coll($c8,$c8,$c13).
% 61.85/62.04 355 [hyper,207,114] {-} coll($c14,$c14,$c8).
% 61.85/62.04 369 [hyper,220,114] {-} coll($c6,$c6,$c12).
% 61.85/62.04 370 [hyper,220,3,190] {-} coll($c9,$c6,$c12).
% 61.85/62.04 371 [hyper,220,3,190] {-} coll($c6,$c9,$c12).
% 61.85/62.04 385 [hyper,163,8] {-} perp($c14,$c13,$c8,$c10).
% 61.85/62.04 416 [hyper,222,114] {-} coll($c14,$c14,$c6).
% 61.85/62.04 432 [hyper,252,3,205] {-} coll($c5,$c8,$c13).
% 61.85/62.04 476 [hyper,254,114] {-} coll($c14,$c14,$c5).
% 61.85/62.04 490 [hyper,267,1] {-} coll($c9,$c12,$c9).
% 61.85/62.04 531 [hyper,166,8] {-} perp($c14,$c12,$c6,$c7).
% 61.85/62.04 589 [hyper,327,1] {-} coll($c8,$c13,$c8).
% 61.85/62.04 602 [hyper,168,8] {-} perp($c14,$c13,$c5,$c7).
% 61.85/62.04 662 [hyper,355,3,295] {-} coll($c9,$c8,$c14).
% 61.85/62.04 663 [hyper,355,3,295] {-} coll($c8,$c9,$c14).
% 61.85/62.04 678 [hyper,170,5] {-} para($c4,$c7,$c9,$c8).
% 61.85/62.04 679 [hyper,170,4] {-} para($c9,$c8,$c7,$c4).
% 61.85/62.04 709 [hyper,369,1] {-} coll($c6,$c12,$c6).
% 61.85/62.04 722 [hyper,370,1] {-} coll($c9,$c12,$c6).
% 61.85/62.04 735 [hyper,371,1] {-} coll($c6,$c12,$c9).
% 61.85/62.04 794 [hyper,416,3,355] {-} coll($c8,$c6,$c14).
% 61.85/62.04 881 [hyper,432,1] {-} coll($c5,$c13,$c8).
% 61.85/62.04 1025 [hyper,476,3,416] {-} coll($c5,$c6,$c14).
% 61.85/62.04 1052 [hyper,490,114] {-} coll($c9,$c9,$c9).
% 61.85/62.04 1054 [hyper,490,3,192] {-} coll($c9,$c14,$c9).
% 61.85/62.04 1472 [hyper,589,114] {-} coll($c8,$c8,$c8).
% 61.85/62.04 1474 [hyper,589,3,207] {-} coll($c8,$c14,$c8).
% 61.85/62.04 1647 [hyper,662,1] {-} coll($c9,$c14,$c8).
% 61.85/62.04 1740 [hyper,663,1] {-} coll($c8,$c14,$c9).
% 61.85/62.04 1875 [hyper,722,114] {-} coll($c6,$c6,$c9).
% 61.85/62.04 1894 [hyper,735,114] {-} coll($c9,$c9,$c6).
% 61.85/62.04 1895 [hyper,735,3,709] {-} coll($c6,$c9,$c6).
% 61.85/62.04 2051 [hyper,794,1] {-} coll($c8,$c14,$c6).
% 61.85/62.04 2249 [hyper,881,3,254] {-} coll($c8,$c14,$c5).
% 61.85/62.04 2468 [hyper,1025,1] {-} coll($c5,$c14,$c6).
% 61.85/62.04 3071 [hyper,1647,3,1054] {-} coll($c8,$c9,$c9).
% 61.85/62.04 3086 [hyper,1740,114] {-} coll($c9,$c9,$c8).
% 61.85/62.04 3087 [hyper,1740,3,1474] {-} coll($c8,$c9,$c8).
% 61.85/62.04 3579 [hyper,2051,114] {-} coll($c6,$c6,$c8).
% 61.85/62.04 3582 [hyper,2051,3,1474] {-} coll($c8,$c6,$c8).
% 61.85/62.04 4022 [hyper,2249,3,1740] {-} coll($c5,$c9,$c8).
% 61.85/62.04 4081 [hyper,2468,114] {-} coll($c6,$c6,$c5).
% 61.85/62.04 7647 [hyper,309,9,166] {-} para($c6,$c7,$c9,$c10).
% 61.85/62.04 7648 [hyper,309,9,161] {-} para($c9,$c10,$c9,$c10).
% 61.85/62.04 7650 [hyper,309,7] {-} perp($c14,$c12,$c10,$c9).
% 61.85/62.04 7686 [hyper,385,9,163] {-} para($c8,$c10,$c8,$c10).
% 61.85/62.04 7688 [hyper,385,7] {-} perp($c14,$c13,$c10,$c8).
% 61.85/62.04 7723 [hyper,531,9,166] {-} para($c6,$c7,$c6,$c7).
% 61.85/62.04 7724 [hyper,531,9,161] {-} para($c9,$c10,$c6,$c7).
% 61.85/62.04 7759 [hyper,602,9,168] {-} para($c5,$c7,$c5,$c7).
% 61.85/62.04 7761 [hyper,602,7] {-} perp($c14,$c13,$c7,$c5).
% 61.85/62.04 7796 [hyper,678,6,170] {-} para($c9,$c8,$c9,$c8).
% 61.85/62.04 7797 [hyper,678,6,170] {-} para($c4,$c7,$c4,$c7).
% 61.85/62.04 7798 [hyper,678,4] {-} para($c4,$c7,$c8,$c9).
% 61.85/62.04 7817 [hyper,679,5] {-} para($c7,$c4,$c9,$c8).
% 61.85/62.04 7852 [hyper,7648,67] {-} coll($c9,$c10,$c10).
% 61.85/62.04 7853 [hyper,7648,40] {-} eqangle($c9,$c10,A,B,$c9,$c10,A,B).
% 61.85/62.04 7854 [hyper,7648,4] {-} para($c9,$c10,$c10,$c9).
% 61.85/62.04 7871 [hyper,7852,114] {-} coll($c10,$c10,$c9).
% 61.85/62.04 7886 [hyper,7871,114] {-} coll($c9,$c9,$c10).
% 61.85/62.04 7918 [hyper,7886,3,3086] {-} coll($c8,$c10,$c9).
% 61.85/62.04 7919 [hyper,7886,3,1894] {-} coll($c6,$c10,$c9).
% 61.85/62.04 7920 [hyper,7886,3,1052] {-} coll($c9,$c10,$c9).
% 61.85/62.04 7925 [hyper,7886,3,3086] {-} coll($c10,$c8,$c9).
% 61.85/62.04 7926 [hyper,7886,3,1894] {-} coll($c10,$c6,$c9).
% 61.85/62.04 7927 [hyper,7886,3,1052] {-} coll($c10,$c9,$c9).
% 61.85/62.04 7980 [hyper,7918,1] {-} coll($c8,$c9,$c10).
% 61.85/62.04 7993 [hyper,7919,1] {-} coll($c6,$c9,$c10).
% 61.85/62.04 8070 [hyper,7925,1] {-} coll($c10,$c9,$c8).
% 61.85/62.04 8083 [hyper,7926,1] {-} coll($c10,$c9,$c6).
% 61.85/62.04 8210 [hyper,7980,3,3087] {-} coll($c8,$c10,$c8).
% 61.85/62.04 8211 [hyper,7980,3,3071] {-} coll($c9,$c10,$c8).
% 61.85/62.04 8247 [hyper,7993,3,1895] {-} coll($c10,$c6,$c6).
% 61.85/62.04 8357 [hyper,8070,114] {-} coll($c8,$c8,$c10).
% 61.85/62.04 8376 [hyper,8083,114] {-} coll($c6,$c6,$c10).
% 61.85/62.04 10348 [hyper,7650,8] {-} perp($c10,$c9,$c14,$c12).
% 61.85/62.04 10660 [hyper,7686,4] {-} para($c8,$c10,$c10,$c8).
% 61.85/62.04 10814 [hyper,7688,8] {-} perp($c10,$c8,$c14,$c13).
% 61.85/62.04 10979 [hyper,7723,67] {-} coll($c6,$c7,$c7).
% 61.85/62.04 10980 [hyper,7723,40] {-} eqangle($c6,$c7,A,B,$c6,$c7,A,B).
% 61.85/62.04 10990 [hyper,10979,114] {-} coll($c7,$c7,$c6).
% 61.85/62.04 10992 [hyper,10979,2] {-} coll($c7,$c6,$c7).
% 61.85/62.04 11005 [hyper,10990,114] {-} coll($c6,$c6,$c7).
% 61.85/62.04 11035 [hyper,11005,3,8376] {-} coll($c10,$c7,$c6).
% 61.85/62.04 11037 [hyper,11005,3,4081] {-} coll($c5,$c7,$c6).
% 61.85/62.04 11038 [hyper,11005,3,3579] {-} coll($c8,$c7,$c6).
% 61.85/62.04 11039 [hyper,11005,3,1875] {-} coll($c9,$c7,$c6).
% 61.85/62.04 11043 [hyper,11005,3,8376] {-} coll($c7,$c10,$c6).
% 61.85/62.04 11045 [hyper,11005,3,4081] {-} coll($c7,$c5,$c6).
% 61.85/62.04 11047 [hyper,11005,3,1875] {-} coll($c7,$c9,$c6).
% 61.85/62.04 11075 [hyper,11035,1] {-} coll($c10,$c6,$c7).
% 61.85/62.04 11101 [hyper,11037,1] {-} coll($c5,$c6,$c7).
% 61.85/62.04 11114 [hyper,11038,1] {-} coll($c8,$c6,$c7).
% 61.85/62.04 11127 [hyper,11039,1] {-} coll($c9,$c6,$c7).
% 61.85/62.04 11178 [hyper,11043,1] {-} coll($c7,$c6,$c10).
% 61.85/62.04 11204 [hyper,11045,1] {-} coll($c7,$c6,$c5).
% 61.85/62.04 11230 [hyper,11047,1] {-} coll($c7,$c6,$c9).
% 61.85/62.04 11294 [hyper,11075,3,8247] {-} coll($c6,$c7,$c10).
% 61.85/62.04 11305 [hyper,11075,3,7926] {-} coll($c7,$c9,$c10).
% 61.85/62.04 11352 [hyper,11101,114] {-} coll($c7,$c7,$c5).
% 61.85/62.04 11402 [hyper,11114,3,3582] {-} coll($c7,$c8,$c8).
% 61.85/62.04 11418 [hyper,11127,114] {-} coll($c7,$c7,$c9).
% 61.85/62.04 11519 [hyper,11178,3,10992] {-} coll($c10,$c7,$c7).
% 61.85/62.04 11552 [hyper,11204,3,10992] {-} coll($c7,$c5,$c7).
% 61.85/62.04 11589 [hyper,11230,114] {-} coll($c9,$c9,$c7).
% 61.85/62.04 14117 [hyper,7724,4] {-} para($c9,$c10,$c7,$c6).
% 61.85/62.04 14466 [hyper,7761,8] {-} perp($c7,$c5,$c14,$c13).
% 61.85/62.04 14640 [hyper,7796,4] {-} para($c9,$c8,$c8,$c9).
% 61.85/62.04 14641 [hyper,7797,67] {-} coll($c4,$c7,$c7).
% 61.85/62.04 14643 [hyper,14641,114] {-} coll($c7,$c7,$c4).
% 61.85/62.04 14651 [hyper,14643,114] {-} coll($c4,$c4,$c7).
% 61.85/62.04 14654 [hyper,14643,3,11418] {-} coll($c9,$c4,$c7).
% 61.85/62.04 14659 [hyper,14643,3,10990] {-} coll($c6,$c4,$c7).
% 61.85/62.04 14664 [hyper,14643,3,11352] {-} coll($c4,$c5,$c7).
% 61.85/62.04 14680 [hyper,14651,1] {-} coll($c4,$c7,$c4).
% 61.85/62.04 14736 [hyper,14659,1] {-} coll($c6,$c7,$c4).
% 61.85/62.04 14807 [hyper,14664,1] {-} coll($c4,$c7,$c5).
% 61.85/62.04 15061 [hyper,14736,3,11294] {-} coll($c10,$c4,$c6).
% 61.85/62.04 15134 [hyper,14807,3,14680] {-} coll($c4,$c5,$c4).
% 61.85/62.04 18099 [hyper,7798,5] {-} para($c8,$c9,$c4,$c7).
% 61.85/62.04 18523 [hyper,7817,6,679] {-} para($c7,$c4,$c7,$c4).
% 61.85/62.04 18948 [hyper,7854,5] {-} para($c10,$c9,$c9,$c10).
% 61.85/62.04 18950 [hyper,10348,9,7650] {-} para($c10,$c9,$c10,$c9).
% 61.85/62.04 19797 [hyper,10660,5] {-} para($c10,$c8,$c8,$c10).
% 61.85/62.04 19802 [hyper,10814,9,7688] {-} para($c10,$c8,$c10,$c8).
% 61.85/62.04 20651 [hyper,14117,5] {-} para($c7,$c6,$c9,$c10).
% 61.85/62.04 21081 [hyper,14466,9,7761] {-} para($c7,$c5,$c7,$c5).
% 61.85/62.04 21082 [hyper,14466,9,7688] {-} para($c7,$c5,$c10,$c8).
% 61.85/62.04 21297 [hyper,14640,5] {-} para($c8,$c9,$c9,$c8).
% 61.85/62.04 21509 [hyper,18099,6,7798] {-} para($c8,$c9,$c8,$c9).
% 61.85/62.04 24694 [hyper,7853,43,11589] {-} cyclic($c10,$c7,$c9,$c9).
% 61.85/62.04 24695 [hyper,7853,43,7886] {-} cyclic($c10,$c10,$c9,$c9).
% 61.85/62.04 24698 [hyper,7853,43,3086] {-} cyclic($c10,$c8,$c9,$c9).
% 61.85/62.04 24699 [hyper,7853,43,1894] {-} cyclic($c10,$c6,$c9,$c9).
% 61.85/62.04 24700 [hyper,7853,43,1052] {-} cyclic($c10,$c9,$c9,$c9).
% 61.85/62.04 30489 [hyper,24694,15] {-} cyclic($c10,$c9,$c7,$c9).
% 61.85/62.04 30490 [hyper,24695,15] {-} cyclic($c10,$c9,$c10,$c9).
% 61.85/62.04 30502 [hyper,24698,15] {-} cyclic($c10,$c9,$c8,$c9).
% 61.85/62.04 30505 [hyper,24699,15] {-} cyclic($c10,$c9,$c6,$c9).
% 61.85/62.04 31040 [hyper,30489,16] {-} cyclic($c9,$c10,$c7,$c9).
% 61.85/62.04 31041 [hyper,30489,14] {-} cyclic($c10,$c9,$c9,$c7).
% 61.85/62.04 31046 [hyper,30490,16] {-} cyclic($c9,$c10,$c10,$c9).
% 61.85/62.04 31047 [hyper,30490,14] {-} cyclic($c10,$c9,$c9,$c10).
% 61.85/62.04 31070 [hyper,30502,14] {-} cyclic($c10,$c9,$c9,$c8).
% 61.85/62.04 31079 [hyper,30505,14] {-} cyclic($c10,$c9,$c9,$c6).
% 61.85/62.04 32524 [hyper,31040,14] {-} cyclic($c9,$c10,$c9,$c7).
% 61.85/62.04 32525 [hyper,31041,120] {-} cyclic($c9,$c9,$c7,$c7).
% 61.85/62.04 32556 [hyper,31046,14] {-} cyclic($c9,$c10,$c9,$c10).
% 61.85/62.04 32557 [hyper,31047,123,24700,7853] {-} cong($c10,$c9,$c10,$c9).
% 61.85/62.04 32663 [hyper,31070,17,31041] {-} cyclic($c9,$c9,$c7,$c8).
% 61.85/62.04 32687 [hyper,31079,17,31041] {-} cyclic($c9,$c9,$c7,$c6).
% 61.85/62.04 35416 [hyper,32524,120] {-} cyclic($c10,$c9,$c7,$c7).
% 61.85/62.04 35463 [hyper,32556,17,32524] {-} cyclic($c10,$c9,$c7,$c10).
% 61.85/62.04 35468 [hyper,32557,125] {-} perp($c10,$c10,$c9,$c9).
% 61.85/62.04 35470 [hyper,32557,68,7927] {-} midp($c10,$c9,$c9).
% 61.85/62.04 35499 [hyper,35470,129,7796] {-} midp($c10,$c8,$c8).
% 61.85/62.04 35500 [hyper,35470,129,7648] {-} midp($c10,$c10,$c10).
% 61.85/62.04 35503 [hyper,35470,46,18948,7886] {-} midp($c9,$c9,$c10).
% 61.85/62.04 35510 [hyper,35499,69] {-} cong($c10,$c8,$c10,$c8).
% 61.85/62.04 35511 [hyper,35499,46,19797,8357] {-} midp($c8,$c8,$c10).
% 61.85/62.04 35519 [hyper,35500,69] {-} cong($c10,$c10,$c10,$c10).
% 61.85/62.04 35520 [hyper,35500,46,19802,8210] {-} midp($c8,$c10,$c8).
% 61.85/62.04 35521 [hyper,35500,46,18950,7920] {-} midp($c9,$c10,$c9).
% 61.85/62.04 35539 [hyper,35503,69] {-} cong($c9,$c9,$c9,$c10).
% 61.85/62.04 35583 [hyper,35511,69] {-} cong($c8,$c8,$c8,$c10).
% 61.85/62.04 35604 [hyper,35520,69] {-} cong($c8,$c10,$c8,$c8).
% 61.85/62.04 35631 [hyper,35521,69] {-} cong($c9,$c10,$c9,$c9).
% 61.85/62.04 35974 [hyper,32663,120] {-} cyclic($c9,$c7,$c8,$c8).
% 61.85/62.04 35986 [hyper,32663,17,32525] {-} cyclic($c9,$c7,$c8,$c7).
% 61.85/62.04 36213 [hyper,32687,17,32663] {-} cyclic($c9,$c7,$c8,$c6).
% 61.85/62.04 39131 [hyper,35416,15] {-} cyclic($c10,$c7,$c9,$c7).
% 61.85/62.04 39215 [hyper,35463,15] {-} cyclic($c10,$c7,$c9,$c10).
% 61.85/62.04 39500 [hyper,35468,8] {-} perp($c9,$c9,$c10,$c10).
% 61.85/62.04 40529 [hyper,35510,57,32557] {-} perp($c10,$c10,$c9,$c8).
% 61.85/62.04 40790 [hyper,35519,57,35510] {-} perp($c10,$c10,$c8,$c10).
% 61.85/62.04 40793 [hyper,35519,57,32557] {-} perp($c10,$c10,$c10,$c9).
% 61.85/62.04 41324 [hyper,35604,25,35583] {-} cong($c8,$c8,$c8,$c8).
% 61.85/62.04 41334 [hyper,35631,25,35539] {-} cong($c9,$c10,$c9,$c10).
% 61.85/62.04 45224 [hyper,36213,120] {-} cyclic($c7,$c8,$c6,$c6).
% 61.85/62.04 45234 [hyper,36213,17,35986] {-} cyclic($c7,$c8,$c6,$c7).
% 61.85/62.04 45239 [hyper,36213,17,35974] {-} cyclic($c7,$c8,$c6,$c8).
% 61.85/62.04 56411 [hyper,39215,44,39131,24694,7853] {-} cong($c10,$c7,$c10,$c7).
% 61.85/62.04 56445 [hyper,40529,9,39500] {-} para($c9,$c9,$c9,$c8).
% 61.85/62.04 56458 [hyper,40790,9,39500] {-} para($c9,$c9,$c8,$c10).
% 61.85/62.04 56476 [hyper,40793,9,39500] {-} para($c9,$c9,$c10,$c9).
% 61.85/62.04 56482 [hyper,41324,68,1472] {-} midp($c8,$c8,$c8).
% 61.85/62.04 56489 [hyper,56482,129,21509] {-} midp($c8,$c9,$c9).
% 61.85/62.04 56507 [hyper,56489,46,21297,3086] {-} midp($c9,$c9,$c8).
% 61.85/62.04 56517 [hyper,56507,64,35521] {-} para($c9,$c10,$c8,$c9).
% 61.85/62.04 56523 [hyper,41334,68,7852] {-} midp($c9,$c10,$c10).
% 61.85/62.04 56539 [hyper,56523,46,7854,7871] {-} midp($c10,$c10,$c9).
% 61.85/62.04 64000 [hyper,45239,44,45234,45224,10980] {-} cong($c7,$c8,$c7,$c8).
% 61.85/62.04 83995 [hyper,56411,68,11519] {-} midp($c10,$c7,$c7).
% 61.85/62.04 84057 [hyper,83995,64,56539] {-} para($c10,$c7,$c9,$c7).
% 61.85/62.04 85664 [hyper,56445,46,35521,8211] {-} midp($c9,$c10,$c8).
% 61.85/62.04 85750 [hyper,85664,46,14640,7918] {-} midp($c8,$c10,$c9).
% 61.85/62.04 92176 [hyper,64000,68,11402] {-} midp($c7,$c8,$c8).
% 61.85/62.04 92178 [hyper,92176,129,21509] {-} midp($c7,$c9,$c9).
% 61.85/62.04 92208 [hyper,92178,46,20651,7993] {-} midp($c6,$c9,$c10).
% 61.85/62.04 92333 [hyper,92208,129,56476] {-} midp($c6,$c9,$c9).
% 61.85/62.04 92652 [hyper,92333,46,7647,11305] {-} midp($c7,$c9,$c10).
% 61.85/62.04 93007 [hyper,92652,46,21082,4022] {-} midp($c5,$c9,$c8).
% 61.85/62.04 93319 [hyper,93007,65,56517,56458] {-} midp($c5,$c10,$c9).
% 61.85/62.04 100507 [hyper,84057,129,93319] {-} midp($c5,$c7,$c7).
% 61.85/62.04 100510 [hyper,84057,129,85750] {-} midp($c8,$c7,$c7).
% 61.85/62.04 100574 [hyper,100507,129,21081] {-} midp($c5,$c5,$c5).
% 61.85/62.04 100667 [hyper,100510,129,18523] {-} midp($c8,$c4,$c4).
% 61.85/62.04 101144 [hyper,100574,46,7759,11552] {-} midp($c7,$c5,$c7).
% 61.85/62.04 101543 [hyper,100667,46,18099,14654] {-} midp($c9,$c4,$c7).
% 61.85/62.04 102996 [hyper,101144,46,18523,15134] {-} midp($c4,$c5,$c4).
% 61.85/62.04 103423 [hyper,101543,46,14117,15061] {-} midp($c10,$c4,$c6).
% 61.85/62.04 105829 [hyper,102996,11] {-} midp($c4,$c4,$c5).
% 61.85/62.04 111100 [hyper,105829,45,103423] {-} para($c4,$c10,$c5,$c6).
% 61.85/62.04 111101 [binary,111100.1,113.1] {-} $F.
% 61.85/62.04
% 61.85/62.04 % SZS output end Refutation
% 61.85/62.04 ------------ end of proof -------------
% 61.85/62.04
% 61.85/62.04
% 61.85/62.04 Search stopped by max_proofs option.
% 61.85/62.04
% 61.85/62.04
% 61.85/62.04 Search stopped by max_proofs option.
% 61.85/62.04
% 61.85/62.04 ============ end of search ============
% 61.85/62.04
% 61.85/62.04 That finishes the proof of the theorem.
% 61.85/62.04
% 61.85/62.04 Process 22234 finished Sat Jun 18 15:48:25 2022
%------------------------------------------------------------------------------