%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO659+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n016.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 06:21:23 EDT 2022
% Result : Theorem 162.54s 162.74s
% Output : Refutation 162.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO659+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.14 % Command : sos-script %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 08:03:37 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.39 ----- Otter 3.2, August 2001 -----
% 0.14/0.39 The process was started by sandbox2 on n016.cluster.edu,
% 0.14/0.39 Sat Jun 18 08:03:37 2022
% 0.14/0.39 The command was "./sos". The process ID is 16635.
% 0.14/0.39
% 0.14/0.39 set(prolog_style_variables).
% 0.14/0.39 set(auto).
% 0.14/0.39 dependent: set(auto1).
% 0.14/0.39 dependent: set(process_input).
% 0.14/0.39 dependent: clear(print_kept).
% 0.14/0.39 dependent: clear(print_new_demod).
% 0.14/0.39 dependent: clear(print_back_demod).
% 0.14/0.39 dependent: clear(print_back_sub).
% 0.14/0.39 dependent: set(control_memory).
% 0.14/0.39 dependent: assign(max_mem, 12000).
% 0.14/0.39 dependent: assign(pick_given_ratio, 4).
% 0.14/0.39 dependent: assign(stats_level, 1).
% 0.14/0.39 dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.39 dependent: assign(sos_limit, 5000).
% 0.14/0.39 dependent: assign(max_weight, 60).
% 0.14/0.39 clear(print_given).
% 0.14/0.39
% 0.14/0.39 formula_list(usable).
% 0.14/0.39
% 0.14/0.39 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.14/0.39
% 0.14/0.39 This ia a non-Horn set with equality. The strategy will be
% 0.14/0.39 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.14/0.39 unit deletion, with positive clauses in sos and nonpositive
% 0.14/0.39 clauses in usable.
% 0.14/0.39
% 0.14/0.39 dependent: set(knuth_bendix).
% 0.14/0.39 dependent: set(para_from).
% 0.14/0.39 dependent: set(para_into).
% 0.14/0.39 dependent: clear(para_from_right).
% 0.14/0.39 dependent: clear(para_into_right).
% 0.14/0.39 dependent: set(para_from_vars).
% 0.14/0.39 dependent: set(eq_units_both_ways).
% 0.14/0.39 dependent: set(dynamic_demod_all).
% 0.14/0.39 dependent: set(dynamic_demod).
% 0.14/0.39 dependent: set(order_eq).
% 0.14/0.39 dependent: set(back_demod).
% 0.14/0.39 dependent: set(lrpo).
% 0.14/0.39 dependent: set(hyper_res).
% 0.14/0.39 dependent: set(unit_deletion).
% 0.14/0.39 dependent: set(factor).
% 0.14/0.39
% 0.14/0.39 ------------> process usable:
% 0.14/0.39 Following clause subsumed by 72 during input processing: 0 [] {-} -eqangle(A,B,C,D,C,D,A,B)|perp(A,B,C,D)|para(A,B,C,D).
% 0.14/0.39
% 0.14/0.39 ------------> process sos:
% 0.14/0.39 Following clause subsumed by 173 during input processing: 0 [copy,173,flip.1] {-} A=A.
% 0.14/0.39 173 back subsumes 146.
% 0.14/0.39 173 back subsumes 145.
% 0.14/0.39 173 back subsumes 144.
% 0.14/0.39 173 back subsumes 143.
% 0.14/0.39
% 0.14/0.39 ======= end of input processing =======
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 Failed to model usable list: disabling FINDER
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 -------------- Softie stats --------------
% 0.21/0.46
% 0.21/0.46 UPDATE_STOP: 300
% 0.21/0.46 SFINDER_TIME_LIMIT: 2
% 0.21/0.46 SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.46 number of clauses in intial UL: 154
% 0.21/0.46 number of clauses initially in problem: 169
% 0.21/0.46 percentage of clauses intially in UL: 91
% 0.21/0.46 percentage of distinct symbols occuring in initial UL: 80
% 0.21/0.46 percent of all initial clauses that are short: 100
% 0.21/0.46 absolute distinct symbol count: 45
% 0.21/0.46 distinct predicate count: 12
% 0.21/0.46 distinct function count: 20
% 0.21/0.46 distinct constant count: 13
% 0.21/0.46
% 0.21/0.46 ---------- no more Softie stats ----------
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 =========== start of search ===========
% 6.81/7.02
% 6.81/7.02
% 6.81/7.02 Changing weight limit from 60 to 57.
% 6.81/7.02
% 6.81/7.02 Resetting weight limit to 57 after 245 givens.
% 6.81/7.02
% 7.39/7.63
% 7.39/7.63
% 7.39/7.63 Changing weight limit from 57 to 56.
% 7.39/7.63
% 7.39/7.63 Resetting weight limit to 56 after 250 givens.
% 7.39/7.63
% 9.31/9.48
% 9.31/9.48
% 9.31/9.48 Changing weight limit from 56 to 55.
% 9.31/9.48
% 9.31/9.48 Resetting weight limit to 55 after 260 givens.
% 9.31/9.48
% 10.91/11.10
% 10.91/11.10
% 10.91/11.10 Changing weight limit from 55 to 54.
% 10.91/11.10
% 10.91/11.10 Resetting weight limit to 54 after 280 givens.
% 10.91/11.10
% 11.52/11.74
% 11.52/11.74
% 11.52/11.74 Changing weight limit from 54 to 52.
% 11.52/11.74
% 11.52/11.74 Resetting weight limit to 52 after 290 givens.
% 11.52/11.74
% 12.76/13.01
% 12.76/13.01
% 12.76/13.01 Changing weight limit from 52 to 51.
% 12.76/13.01
% 12.76/13.01 Modelling stopped after 300 given clauses and 0.00 seconds
% 12.76/13.01
% 12.76/13.01
% 12.76/13.01 Resetting weight limit to 51 after 305 givens.
% 12.76/13.01
% 15.87/16.10
% 15.87/16.10
% 15.87/16.10 Changing weight limit from 51 to 50.
% 15.87/16.10
% 15.87/16.10 Resetting weight limit to 50 after 345 givens.
% 15.87/16.10
% 18.44/18.65
% 18.44/18.65
% 18.44/18.65 Changing weight limit from 50 to 49.
% 18.44/18.65
% 18.44/18.65 Resetting weight limit to 49 after 385 givens.
% 18.44/18.65
% 19.08/19.29
% 19.08/19.29
% 19.08/19.29 Changing weight limit from 49 to 47.
% 19.08/19.29
% 19.08/19.29 Resetting weight limit to 47 after 395 givens.
% 19.08/19.29
% 19.57/19.76
% 19.57/19.76
% 19.57/19.76 Changing weight limit from 47 to 46.
% 19.57/19.76
% 19.57/19.76 Resetting weight limit to 46 after 400 givens.
% 19.57/19.76
% 19.80/20.03
% 19.80/20.03
% 19.80/20.03 Changing weight limit from 46 to 45.
% 19.80/20.03
% 19.80/20.03 Resetting weight limit to 45 after 405 givens.
% 19.80/20.03
% 20.10/20.30
% 20.10/20.30
% 20.10/20.30 Changing weight limit from 45 to 44.
% 20.10/20.30
% 20.10/20.30 Resetting weight limit to 44 after 410 givens.
% 20.10/20.30
% 20.29/20.47
% 20.29/20.47
% 20.29/20.47 Changing weight limit from 44 to 37.
% 20.29/20.47
% 20.29/20.47 Resetting weight limit to 37 after 415 givens.
% 20.29/20.47
% 20.40/20.61
% 20.40/20.61
% 20.40/20.61 Changing weight limit from 37 to 36.
% 20.40/20.61
% 20.40/20.61 Resetting weight limit to 36 after 420 givens.
% 20.40/20.61
% 20.55/20.73
% 20.55/20.73
% 20.55/20.73 Changing weight limit from 36 to 35.
% 20.55/20.73
% 20.55/20.73 Resetting weight limit to 35 after 425 givens.
% 20.55/20.73
% 20.66/20.84
% 20.66/20.84
% 20.66/20.84 Changing weight limit from 35 to 31.
% 20.66/20.84
% 20.66/20.84 Resetting weight limit to 31 after 430 givens.
% 20.66/20.84
% 21.04/21.25
% 21.04/21.25
% 21.04/21.25 Changing weight limit from 31 to 30.
% 21.04/21.25
% 21.04/21.25 Resetting weight limit to 30 after 440 givens.
% 21.04/21.25
% 26.65/26.81
% 26.65/26.81
% 26.65/26.81 Changing weight limit from 30 to 29.
% 26.65/26.81
% 26.65/26.81 Resetting weight limit to 29 after 650 givens.
% 26.65/26.81
% 29.03/29.20
% 29.03/29.20
% 29.03/29.20 Changing weight limit from 29 to 23.
% 29.03/29.20
% 29.03/29.20 Resetting weight limit to 23 after 1185 givens.
% 29.03/29.20
% 29.09/29.33
% 29.09/29.33
% 29.09/29.33 Changing weight limit from 23 to 22.
% 29.09/29.33
% 29.09/29.33 Resetting weight limit to 22 after 1225 givens.
% 29.09/29.33
% 29.19/29.40
% 29.19/29.40
% 29.19/29.40 Changing weight limit from 22 to 21.
% 29.19/29.40
% 29.19/29.40 Resetting weight limit to 21 after 1230 givens.
% 29.19/29.40
% 29.38/29.56
% 29.38/29.56
% 29.38/29.56 Changing weight limit from 21 to 17.
% 29.38/29.56
% 29.38/29.56 Resetting weight limit to 17 after 1265 givens.
% 29.38/29.56
% 29.57/29.79
% 29.57/29.79
% 29.57/29.79 Changing weight limit from 17 to 11.
% 29.57/29.79
% 29.57/29.79 Resetting weight limit to 11 after 1270 givens.
% 29.57/29.79
% 29.68/29.86
% 29.68/29.86
% 29.68/29.86 Changing weight limit from 11 to 10.
% 29.68/29.86
% 29.68/29.86 Resetting weight limit to 10 after 1275 givens.
% 29.68/29.86
% 31.85/32.07
% 31.85/32.07
% 31.85/32.07 Changing weight limit from 10 to 9.
% 31.85/32.07
% 31.85/32.07 Resetting weight limit to 9 after 1950 givens.
% 31.85/32.07
% 40.06/40.24
% 40.06/40.24
% 40.06/40.24 Changing weight limit from 9 to 8.
% 40.06/40.24
% 40.06/40.24 Resetting weight limit to 8 after 6690 givens.
% 40.06/40.24
% 46.41/46.63
% 46.41/46.63
% 46.41/46.63 Changing weight limit from 8 to 5.
% 46.41/46.63
% 46.41/46.63 Resetting weight limit to 5 after 7755 givens.
% 46.41/46.63
% 120.84/121.03
% 120.84/121.03
% 120.84/121.03 Changing weight limit from 5 to 6.
% 120.84/121.03
% 120.84/121.03 Resetting weight limit to 6 after 30310 givens.
% 120.84/121.03
% 120.88/121.04
% 120.88/121.04
% 120.88/121.04 Changing weight limit from 6 to 7.
% 120.88/121.04
% 120.88/121.04 Resetting weight limit to 7 after 30315 givens.
% 120.88/121.04
% 120.88/121.06
% 120.88/121.06
% 120.88/121.06 Changing weight limit from 7 to 8.
% 120.88/121.06
% 120.88/121.06 Resetting weight limit to 8 after 30320 givens.
% 120.88/121.06
% 120.88/121.07
% 120.88/121.07
% 120.88/121.07 Changing weight limit from 8 to 9.
% 120.88/121.07
% 120.88/121.07 Resetting weight limit to 9 after 30325 givens.
% 120.88/121.07
% 120.88/121.08
% 120.88/121.08
% 120.88/121.08 Changing weight limit from 9 to 10.
% 120.88/121.08
% 120.88/121.08 Resetting weight limit to 10 after 30330 givens.
% 120.88/121.08
% 122.74/122.97
% 122.74/122.97
% 122.74/122.97 Changing weight limit from 10 to 9.
% 122.74/122.97
% 122.74/122.97 Resetting weight limit to 9 after 30680 givens.
% 122.74/122.97
% 134.63/134.80
% 134.63/134.80
% 134.63/134.80 Changing weight limit from 9 to 5.
% 134.63/134.80
% 134.63/134.80 Resetting weight limit to 5 after 33265 givens.
% 134.63/134.80
% 144.07/144.25
% 144.07/144.25
% 144.07/144.25 Changing weight limit from 5 to 6.
% 144.07/144.25
% 144.07/144.25 Resetting weight limit to 6 after 36430 givens.
% 144.07/144.25
% 144.07/144.27
% 144.07/144.27
% 144.07/144.27 Changing weight limit from 6 to 7.
% 144.07/144.27
% 144.07/144.27 Resetting weight limit to 7 after 36435 givens.
% 144.07/144.27
% 144.07/144.29
% 144.07/144.29
% 144.07/144.29 Changing weight limit from 7 to 8.
% 144.07/144.29
% 144.07/144.29 Resetting weight limit to 8 after 36440 givens.
% 144.07/144.29
% 144.14/144.31
% 144.14/144.31
% 144.14/144.31 Changing weight limit from 8 to 9.
% 144.14/144.31
% 144.14/144.31 Resetting weight limit to 9 after 36445 givens.
% 144.14/144.31
% 144.14/144.32
% 144.14/144.32
% 144.14/144.32 Changing weight limit from 9 to 10.
% 144.14/144.32
% 144.14/144.32 Resetting weight limit to 10 after 36450 givens.
% 144.14/144.32
% 144.14/144.34
% 144.14/144.34
% 144.14/144.34 Changing weight limit from 10 to 11.
% 144.14/144.34
% 144.14/144.34 Resetting weight limit to 11 after 36455 givens.
% 144.14/144.34
% 144.14/144.37
% 144.14/144.37
% 144.14/144.37 Changing weight limit from 11 to 12.
% 144.14/144.37
% 144.14/144.37 Resetting weight limit to 12 after 36460 givens.
% 144.14/144.37
% 144.20/144.38
% 144.20/144.38
% 144.20/144.38 Changing weight limit from 12 to 13.
% 144.20/144.38
% 144.20/144.38 Resetting weight limit to 13 after 36465 givens.
% 144.20/144.38
% 144.20/144.39
% 144.20/144.39
% 144.20/144.39 Changing weight limit from 13 to 14.
% 144.20/144.39
% 144.20/144.39 Resetting weight limit to 14 after 36470 givens.
% 144.20/144.39
% 144.20/144.41
% 144.20/144.41
% 144.20/144.41 Changing weight limit from 14 to 15.
% 144.20/144.41
% 144.20/144.41 Resetting weight limit to 15 after 36475 givens.
% 144.20/144.41
% 144.20/144.42
% 144.20/144.42
% 144.20/144.42 Changing weight limit from 15 to 16.
% 144.20/144.42
% 144.20/144.42 Resetting weight limit to 16 after 36480 givens.
% 144.20/144.42
% 144.20/144.43
% 144.20/144.43
% 144.20/144.43 Changing weight limit from 16 to 17.
% 144.20/144.43
% 144.20/144.43 Resetting weight limit to 17 after 36485 givens.
% 144.20/144.43
% 144.20/144.45
% 144.20/144.45
% 144.20/144.45 Changing weight limit from 17 to 18.
% 144.20/144.45
% 144.20/144.45 Resetting weight limit to 18 after 36490 givens.
% 144.20/144.45
% 144.29/144.47
% 144.29/144.47
% 144.29/144.47 Changing weight limit from 18 to 19.
% 144.29/144.47
% 144.29/144.47 Resetting weight limit to 19 after 36495 givens.
% 144.29/144.47
% 144.29/144.48
% 144.29/144.48
% 144.29/144.48 Changing weight limit from 19 to 20.
% 144.29/144.48
% 144.29/144.48 Resetting weight limit to 20 after 36500 givens.
% 144.29/144.48
% 144.32/144.50
% 144.32/144.50
% 144.32/144.50 Changing weight limit from 20 to 21.
% 144.32/144.50
% 144.32/144.50 Resetting weight limit to 21 after 36505 givens.
% 144.32/144.50
% 144.32/144.52
% 144.32/144.52
% 144.32/144.52 Changing weight limit from 21 to 22.
% 144.32/144.52
% 144.32/144.52 Resetting weight limit to 22 after 36510 givens.
% 144.32/144.52
% 144.37/144.54
% 144.37/144.54
% 144.37/144.54 Changing weight limit from 22 to 23.
% 144.37/144.54
% 144.37/144.54 Resetting weight limit to 23 after 36515 givens.
% 144.37/144.54
% 144.37/144.55
% 144.37/144.55
% 144.37/144.55 Changing weight limit from 23 to 24.
% 144.37/144.55
% 144.37/144.55 Resetting weight limit to 24 after 36520 givens.
% 144.37/144.55
% 144.37/144.56
% 144.37/144.56
% 144.37/144.56 Changing weight limit from 24 to 25.
% 144.37/144.56
% 144.37/144.56 Resetting weight limit to 25 after 36525 givens.
% 144.37/144.56
% 144.37/144.57
% 144.37/144.57
% 144.37/144.57 Changing weight limit from 25 to 26.
% 144.37/144.57
% 144.37/144.57 Resetting weight limit to 26 after 36530 givens.
% 144.37/144.57
% 147.02/147.20
% 147.02/147.20
% 147.02/147.20 Changing weight limit from 26 to 9.
% 147.02/147.20
% 147.02/147.20 Resetting weight limit to 9 after 36765 givens.
% 147.02/147.20
% 162.54/162.74
% 162.54/162.74 -- HEY sandbox2, WE HAVE A PROOF!! --
% 162.54/162.74
% 162.54/162.74 ----> UNIT CONFLICT at 157.22 sec ----> 367949 [binary,367948.1,113.1] {-} $F.
% 162.54/162.74
% 162.54/162.74 Length of proof is 141. Level of proof is 15.
% 162.54/162.74
% 162.54/162.74 ---------------- PROOF ----------------
% 162.54/162.74 % SZS status Theorem
% 162.54/162.74 % SZS output start Refutation
% 162.54/162.74
% 162.54/162.74 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 162.54/162.74 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 162.54/162.74 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 162.54/162.74 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 162.54/162.74 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 162.54/162.74 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 162.54/162.74 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 162.54/162.74 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 162.54/162.74 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 162.54/162.74 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 162.54/162.74 12 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|circle(A,B,C,D).
% 162.54/162.74 13 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)| -cong(A,B,A,E)|cyclic(B,C,D,E).
% 162.54/162.74 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 162.54/162.74 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 162.54/162.74 16 [] {+} -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 162.54/162.74 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 162.54/162.74 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 162.54/162.74 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 162.54/162.74 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 162.54/162.74 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).
% 162.54/162.74 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 162.54/162.74 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 162.54/162.74 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 162.54/162.74 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 162.54/162.74 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 162.54/162.74 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 162.54/162.74 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 162.54/162.74 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 162.54/162.74 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 162.54/162.74 70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 162.54/162.74 86 [] {+} -midp(A,B,C)| -midp(D,E,F)|midp($f6(B,C,E,F,A,D),B,F).
% 162.54/162.74 113 [] {+} -para($c10,$c9,$c7,$c6).
% 162.54/162.74 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 162.54/162.74 116 [factor,12.1.2] {+} -cong(A,B,A,C)|circle(A,B,C,C).
% 162.54/162.74 117 [factor,13.1.2] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,C,D).
% 162.54/162.74 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 162.54/162.74 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 162.54/162.74 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 162.54/162.74 159 [] {-} perp($c10,$c13,$c12,$c11).
% 162.54/162.74 160 [] {-} coll($c10,$c12,$c11).
% 162.54/162.74 161 [] {-} perp($c9,$c12,$c13,$c11).
% 162.54/162.74 162 [] {-} coll($c9,$c13,$c11).
% 162.54/162.74 163 [] {-} midp($c5,$c13,$c11).
% 162.54/162.74 164 [] {-} perp($c13,$c11,$c5,$c8).
% 162.54/162.74 165 [] {-} midp($c4,$c13,$c12).
% 162.54/162.74 167 [] {-} midp($c3,$c11,$c12).
% 162.54/162.74 168 [] {-} perp($c11,$c12,$c3,$c8).
% 162.54/162.74 169 [] {-} coll($c12,$c9,$c7).
% 162.54/162.74 171 [] {-} coll($c13,$c10,$c6).
% 162.54/162.74 174 [hyper,159,8] {-} perp($c12,$c11,$c10,$c13).
% 162.54/162.74 192 [hyper,160,114] {-} coll($c11,$c11,$c10).
% 162.54/162.74 193 [hyper,160,2] {-} coll($c12,$c10,$c11).
% 162.54/162.74 207 [hyper,162,114] {-} coll($c11,$c11,$c9).
% 162.54/162.74 208 [hyper,162,2] {-} coll($c13,$c9,$c11).
% 162.54/162.74 209 [hyper,162,1] {-} coll($c9,$c11,$c13).
% 162.54/162.74 228 [hyper,163,70] {-} coll($c5,$c13,$c11).
% 162.54/162.74 229 [hyper,163,69] {-} cong($c5,$c13,$c5,$c11).
% 162.54/162.74 230 [hyper,163,11] {-} midp($c5,$c11,$c13).
% 162.54/162.74 243 [hyper,161,8] {-} perp($c13,$c11,$c9,$c12).
% 162.54/162.74 275 [hyper,165,70] {-} coll($c4,$c13,$c12).
% 162.54/162.74 276 [hyper,165,69] {-} cong($c4,$c13,$c4,$c12).
% 162.54/162.74 278 [hyper,165,45,163] {-} para($c4,$c5,$c12,$c11).
% 162.54/162.74 279 [hyper,165,11] {-} midp($c4,$c12,$c13).
% 162.54/162.74 309 [hyper,167,86,163] {-} midp($f6($c11,$c12,$c13,$c11,$c3,$c5),$c11,$c11).
% 162.54/162.74 314 [hyper,167,70] {-} coll($c3,$c11,$c12).
% 162.54/162.74 315 [hyper,167,69] {-} cong($c3,$c11,$c3,$c12).
% 162.54/162.74 316 [hyper,167,11] {-} midp($c3,$c12,$c11).
% 162.54/162.74 329 [hyper,169,114] {-} coll($c7,$c7,$c12).
% 162.54/162.74 344 [hyper,171,114] {-} coll($c6,$c6,$c13).
% 162.54/162.74 345 [hyper,171,2] {-} coll($c10,$c13,$c6).
% 162.54/162.74 360 [hyper,164,8] {-} perp($c5,$c8,$c13,$c11).
% 162.54/162.74 392 [hyper,193,114] {-} coll($c11,$c11,$c12).
% 162.54/162.74 454 [hyper,208,114] {-} coll($c11,$c11,$c13).
% 162.54/162.74 468 [hyper,209,114] {-} coll($c13,$c13,$c9).
% 162.54/162.74 482 [hyper,228,114] {-} coll($c11,$c11,$c5).
% 162.54/162.74 484 [hyper,228,1] {-} coll($c5,$c11,$c13).
% 162.54/162.74 527 [hyper,230,69] {-} cong($c5,$c11,$c5,$c13).
% 162.54/162.74 528 [hyper,230,64,163] {-} para($c13,$c11,$c11,$c13).
% 162.54/162.74 529 [hyper,230,64,163] {-} para($c11,$c13,$c13,$c11).
% 162.54/162.74 544 [hyper,168,8] {-} perp($c3,$c8,$c11,$c12).
% 162.54/162.74 563 [hyper,275,2] {-} coll($c13,$c4,$c12).
% 162.54/162.74 564 [hyper,275,1] {-} coll($c4,$c12,$c13).
% 162.54/162.74 615 [hyper,279,69] {-} cong($c4,$c12,$c4,$c13).
% 162.54/162.74 631 [hyper,314,2] {-} coll($c11,$c3,$c12).
% 162.54/162.74 691 [hyper,316,69] {-} cong($c3,$c12,$c3,$c11).
% 162.54/162.74 725 [hyper,329,114] {-} coll($c12,$c12,$c7).
% 162.54/162.74 767 [hyper,344,114] {-} coll($c13,$c13,$c6).
% 162.54/162.74 799 [hyper,345,1] {-} coll($c10,$c6,$c13).
% 162.54/162.74 855 [hyper,174,7] {-} perp($c12,$c11,$c13,$c10).
% 162.54/162.74 872 [hyper,392,114] {-} coll($c12,$c12,$c11).
% 162.54/162.74 875 [hyper,392,1] {-} coll($c11,$c12,$c11).
% 162.54/162.74 1098 [hyper,454,114] {-} coll($c13,$c13,$c11).
% 162.54/162.74 1130 [hyper,468,1] {-} coll($c13,$c9,$c13).
% 162.54/162.74 1258 [hyper,482,3,207] {-} coll($c9,$c5,$c11).
% 162.54/162.74 1259 [hyper,482,3,192] {-} coll($c10,$c5,$c11).
% 162.54/162.74 1260 [hyper,482,3,392] {-} coll($c5,$c12,$c11).
% 162.54/162.74 1289 [hyper,484,114] {-} coll($c13,$c13,$c5).
% 162.54/162.74 1419 [hyper,563,114] {-} coll($c12,$c12,$c13).
% 162.54/162.74 1433 [hyper,564,114] {-} coll($c13,$c13,$c4).
% 162.54/162.74 1465 [hyper,631,1] {-} coll($c11,$c12,$c3).
% 162.54/162.74 1884 [hyper,799,114] {-} coll($c13,$c13,$c10).
% 162.54/162.74 2127 [hyper,872,3,725] {-} coll($c7,$c11,$c12).
% 162.54/162.74 2470 [hyper,1098,3,767] {-} coll($c6,$c11,$c13).
% 162.54/162.74 2682 [hyper,1130,114] {-} coll($c13,$c13,$c13).
% 162.54/162.74 2775 [hyper,1258,1] {-} coll($c9,$c11,$c5).
% 162.54/162.74 2788 [hyper,1259,1] {-} coll($c10,$c11,$c5).
% 162.54/162.74 2801 [hyper,1260,1] {-} coll($c5,$c11,$c12).
% 162.54/162.74 3089 [hyper,1419,3,725] {-} coll($c7,$c13,$c12).
% 162.54/162.74 3360 [hyper,1465,3,875] {-} coll($c3,$c11,$c11).
% 162.54/162.74 4078 [hyper,1884,3,1289] {-} coll($c10,$c5,$c13).
% 162.54/162.74 4354 [hyper,2127,1] {-} coll($c7,$c12,$c11).
% 162.54/162.74 5111 [hyper,2470,1] {-} coll($c6,$c13,$c11).
% 162.54/162.74 5374 [hyper,2682,3,1433] {-} coll($c4,$c13,$c13).
% 162.54/162.74 5490 [hyper,2775,114] {-} coll($c5,$c5,$c9).
% 162.54/162.74 5513 [hyper,2788,114] {-} coll($c5,$c5,$c10).
% 162.54/162.74 5997 [hyper,3089,1] {-} coll($c7,$c12,$c13).
% 162.54/162.74 6197 [hyper,229,116] {-} circle($c5,$c13,$c11,$c11).
% 162.54/162.74 7007 [hyper,243,9,161] {-} para($c13,$c11,$c13,$c11).
% 162.54/162.74 7008 [hyper,243,7] {-} perp($c13,$c11,$c12,$c9).
% 162.54/162.74 7270 [hyper,4354,114] {-} coll($c11,$c11,$c7).
% 162.54/162.74 7514 [hyper,5111,114] {-} coll($c11,$c11,$c6).
% 162.54/162.74 9384 [hyper,5997,114] {-} coll($c13,$c13,$c7).
% 162.54/162.74 9721 [hyper,278,4] {-} para($c4,$c5,$c11,$c12).
% 162.54/162.74 12099 [hyper,309,128] {-} para($c11,$c11,$c11,$c11).
% 162.54/162.74 13022 [hyper,360,9,164] {-} para($c5,$c8,$c5,$c8).
% 162.54/162.74 17577 [hyper,527,25,229] {-} cong($c5,$c11,$c5,$c11).
% 162.54/162.74 18049 [hyper,529,6,528] {-} para($c11,$c13,$c11,$c13).
% 162.54/162.74 18524 [hyper,544,7] {-} perp($c3,$c8,$c12,$c11).
% 162.54/162.74 19242 [hyper,615,25,276] {-} cong($c4,$c13,$c4,$c13).
% 162.54/162.74 20100 [hyper,691,25,315] {-} cong($c3,$c11,$c3,$c11).
% 162.54/162.74 21608 [hyper,6197,54,228] {-} perp($c13,$c11,$c11,$c11).
% 162.54/162.74 22035 [hyper,7007,40] {-} eqangle($c13,$c11,A,B,$c13,$c11,A,B).
% 162.54/162.74 22040 [hyper,7008,9,360] {-} para($c5,$c8,$c12,$c9).
% 162.54/162.74 23762 [hyper,12099,40] {-} eqangle($c11,$c11,A,B,$c11,$c11,A,B).
% 162.54/162.74 23775 [hyper,13022,67] {-} coll($c5,$c8,$c8).
% 162.54/162.74 23777 [hyper,23775,114] {-} coll($c8,$c8,$c5).
% 162.54/162.74 23780 [hyper,23777,114] {-} coll($c5,$c5,$c8).
% 162.54/162.74 23793 [hyper,23780,3,5513] {-} coll($c10,$c8,$c5).
% 162.54/162.74 23794 [hyper,23780,3,5490] {-} coll($c9,$c8,$c5).
% 162.54/162.74 23816 [hyper,23793,1] {-} coll($c10,$c5,$c8).
% 162.54/162.74 23817 [hyper,23794,1] {-} coll($c9,$c5,$c8).
% 162.54/162.74 24113 [hyper,23816,3,4078] {-} coll($c8,$c13,$c10).
% 162.54/162.74 24139 [hyper,23817,3,1258] {-} coll($c8,$c11,$c9).
% 162.54/162.74 29417 [hyper,17577,117,527] {-} cyclic($c11,$c11,$c11,$c13).
% 162.54/162.74 29685 [hyper,18049,40] {-} eqangle($c11,$c13,A,B,$c11,$c13,A,B).
% 162.54/162.74 31229 [hyper,18524,9,855] {-} para($c3,$c8,$c13,$c10).
% 162.54/162.74 32842 [hyper,19242,68,5374] {-} midp($c4,$c13,$c13).
% 162.54/162.74 32849 [hyper,32842,129,7007] {-} midp($c4,$c11,$c11).
% 162.54/162.74 33063 [hyper,32849,46,9721,2801] {-} midp($c5,$c11,$c12).
% 162.54/162.74 33933 [hyper,20100,68,3360] {-} midp($c3,$c11,$c11).
% 162.54/162.74 33940 [hyper,33933,129,18049] {-} midp($c3,$c13,$c13).
% 162.54/162.74 37816 [hyper,22040,46,33063,24139] {-} midp($c8,$c11,$c9).
% 162.54/162.74 38068 [hyper,37816,11] {-} midp($c8,$c9,$c11).
% 162.54/162.74 51202 [hyper,31229,46,33940,24113] {-} midp($c8,$c13,$c10).
% 162.54/162.74 51562 [hyper,51202,11] {-} midp($c8,$c10,$c13).
% 162.54/162.74 52253 [hyper,51562,64,38068] {-} para($c10,$c9,$c13,$c11).
% 162.54/162.74 88567 [hyper,52253,10,21608] {-} perp($c10,$c9,$c11,$c11).
% 162.54/162.74 91568 [hyper,22035,43,9384] {-} cyclic($c11,$c7,$c13,$c13).
% 162.54/162.74 91571 [hyper,22035,43,767] {-} cyclic($c11,$c6,$c13,$c13).
% 162.54/162.74 101696 [hyper,23762,43,7270] {-} cyclic($c11,$c7,$c11,$c11).
% 162.54/162.74 121166 [hyper,29685,43,7514] {-} cyclic($c13,$c6,$c11,$c11).
% 162.54/162.74 121168 [hyper,29685,43,7270] {-} cyclic($c13,$c7,$c11,$c11).
% 162.54/162.74 136569 [hyper,91571,15] {-} cyclic($c11,$c13,$c6,$c13).
% 162.54/162.74 137385 [hyper,101696,15] {-} cyclic($c11,$c11,$c7,$c11).
% 162.54/162.74 152565 [hyper,121166,16] {-} cyclic($c6,$c13,$c11,$c11).
% 162.54/162.74 152566 [hyper,121166,15] {-} cyclic($c13,$c11,$c6,$c11).
% 162.54/162.74 152570 [hyper,121168,15] {-} cyclic($c13,$c11,$c7,$c11).
% 162.54/162.74 193538 [hyper,136569,16] {-} cyclic($c13,$c11,$c6,$c13).
% 162.54/162.74 193699 [hyper,137385,14] {-} cyclic($c11,$c11,$c11,$c7).
% 162.54/162.74 213078 [hyper,152565,15] {-} cyclic($c6,$c11,$c13,$c11).
% 162.54/162.74 213079 [hyper,152566,16] {-} cyclic($c11,$c13,$c6,$c11).
% 162.54/162.74 213085 [hyper,152570,16] {-} cyclic($c11,$c13,$c7,$c11).
% 162.54/162.74 232946 [hyper,193699,17,29417] {-} cyclic($c11,$c11,$c13,$c7).
% 162.54/162.74 241135 [hyper,213078,16] {-} cyclic($c11,$c6,$c13,$c11).
% 162.54/162.74 241138 [hyper,213079,14] {-} cyclic($c11,$c13,$c11,$c6).
% 162.54/162.74 241144 [hyper,213085,15] {-} cyclic($c11,$c7,$c13,$c11).
% 162.54/162.74 259579 [hyper,232946,120] {-} cyclic($c11,$c13,$c7,$c7).
% 162.54/162.74 270560 [hyper,241138,120] {-} cyclic($c13,$c11,$c6,$c6).
% 162.54/162.74 276840 [hyper,259579,15] {-} cyclic($c11,$c7,$c13,$c7).
% 162.54/162.74 278104 [hyper,270560,17,193538] {-} cyclic($c11,$c6,$c13,$c6).
% 162.54/162.74 291078 [hyper,276840,44,241144,91568,22035] {-} cong($c11,$c7,$c11,$c7).
% 162.54/162.74 295908 [hyper,278104,44,241135,91571,22035] {-} cong($c11,$c6,$c11,$c6).
% 162.54/162.74 300825 [hyper,295908,57,291078] {-} perp($c11,$c11,$c7,$c6).
% 162.54/162.74 367948 [hyper,300825,9,88567] {-} para($c10,$c9,$c7,$c6).
% 162.54/162.74 367949 [binary,367948.1,113.1] {-} $F.
% 162.54/162.74
% 162.54/162.74 % SZS output end Refutation
% 162.54/162.74 ------------ end of proof -------------
% 162.54/162.74
% 162.54/162.74
% 162.54/162.74 Search stopped by max_proofs option.
% 162.54/162.74
% 162.54/162.74
% 162.54/162.74 Search stopped by max_proofs option.
% 162.54/162.74
% 162.54/162.74 ============ end of search ============
% 162.54/162.74
% 162.54/162.74 That finishes the proof of the theorem.
% 162.54/162.74
% 162.54/162.74 Process 16635 finished Sat Jun 18 08:06:19 2022
%------------------------------------------------------------------------------