TSTP Solution File: GEO630+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO630+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n023.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 89.48s 89.66s
% Output : Refutation 89.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO630+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 17:22:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.37 ----- Otter 3.2, August 2001 -----
% 0.19/0.37 The process was started by sandbox2 on n023.cluster.edu,
% 0.19/0.37 Sat Jun 18 17:22:34 2022
% 0.19/0.37 The command was "./sos". The process ID is 14248.
% 0.19/0.37
% 0.19/0.37 set(prolog_style_variables).
% 0.19/0.37 set(auto).
% 0.19/0.37 dependent: set(auto1).
% 0.19/0.37 dependent: set(process_input).
% 0.19/0.37 dependent: clear(print_kept).
% 0.19/0.37 dependent: clear(print_new_demod).
% 0.19/0.37 dependent: clear(print_back_demod).
% 0.19/0.37 dependent: clear(print_back_sub).
% 0.19/0.37 dependent: set(control_memory).
% 0.19/0.37 dependent: assign(max_mem, 12000).
% 0.19/0.37 dependent: assign(pick_given_ratio, 4).
% 0.19/0.37 dependent: assign(stats_level, 1).
% 0.19/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.37 dependent: assign(sos_limit, 5000).
% 0.19/0.37 dependent: assign(max_weight, 60).
% 0.19/0.37 clear(print_given).
% 0.19/0.37
% 0.19/0.37 formula_list(usable).
% 0.19/0.37
% 0.19/0.37 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.19/0.37
% 0.19/0.37 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.37 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.37 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.37 clauses in usable.
% 0.19/0.37
% 0.19/0.37 dependent: set(knuth_bendix).
% 0.19/0.37 dependent: set(para_from).
% 0.19/0.37 dependent: set(para_into).
% 0.19/0.37 dependent: clear(para_from_right).
% 0.19/0.37 dependent: clear(para_into_right).
% 0.19/0.37 dependent: set(para_from_vars).
% 0.19/0.37 dependent: set(eq_units_both_ways).
% 0.19/0.37 dependent: set(dynamic_demod_all).
% 0.19/0.37 dependent: set(dynamic_demod).
% 0.19/0.37 dependent: set(order_eq).
% 0.19/0.37 dependent: set(back_demod).
% 0.19/0.37 dependent: set(lrpo).
% 0.19/0.37 dependent: set(hyper_res).
% 0.19/0.37 dependent: set(unit_deletion).
% 0.19/0.37 dependent: set(factor).
% 0.19/0.37
% 0.19/0.37 ------------> process usable:
% 0.19/0.37 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).
% 0.19/0.37
% 0.19/0.37 ------------> process sos:
% 0.19/0.37 Following clause subsumed by 171 during input processing: 0 [copy,171,flip.1] {-} A=A.
% 0.19/0.37 171 back subsumes 146.
% 0.19/0.37 171 back subsumes 145.
% 0.19/0.37 171 back subsumes 144.
% 0.19/0.37 171 back subsumes 143.
% 0.19/0.37
% 0.19/0.37 ======= end of input processing =======
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 Failed to model usable list: disabling FINDER
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 -------------- Softie stats --------------
% 0.19/0.44
% 0.19/0.44 UPDATE_STOP: 300
% 0.19/0.44 SFINDER_TIME_LIMIT: 2
% 0.19/0.44 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.44 number of clauses in intial UL: 154
% 0.19/0.44 number of clauses initially in problem: 167
% 0.19/0.44 percentage of clauses intially in UL: 92
% 0.19/0.44 percentage of distinct symbols occuring in initial UL: 81
% 0.19/0.44 percent of all initial clauses that are short: 100
% 0.19/0.44 absolute distinct symbol count: 44
% 0.19/0.44 distinct predicate count: 12
% 0.19/0.44 distinct function count: 20
% 0.19/0.44 distinct constant count: 12
% 0.19/0.44
% 0.19/0.44 ---------- no more Softie stats ----------
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 =========== start of search ===========
% 6.97/7.16
% 6.97/7.16
% 6.97/7.16 Changing weight limit from 60 to 57.
% 6.97/7.16
% 6.97/7.16 Resetting weight limit to 57 after 250 givens.
% 6.97/7.16
% 7.56/7.75
% 7.56/7.75
% 7.56/7.75 Changing weight limit from 57 to 56.
% 7.56/7.75
% 7.56/7.75 Resetting weight limit to 56 after 255 givens.
% 7.56/7.75
% 9.92/10.11
% 9.92/10.11
% 9.92/10.11 Changing weight limit from 56 to 55.
% 9.92/10.11
% 9.92/10.11 Resetting weight limit to 55 after 270 givens.
% 9.92/10.11
% 12.42/12.66
% 12.42/12.66
% 12.42/12.66 Changing weight limit from 55 to 54.
% 12.42/12.66
% 12.42/12.66 Modelling stopped after 300 given clauses and 0.00 seconds
% 12.42/12.66
% 12.42/12.66
% 12.42/12.66 Resetting weight limit to 54 after 300 givens.
% 12.42/12.66
% 13.38/13.55
% 13.38/13.55
% 13.38/13.55 Changing weight limit from 54 to 52.
% 13.38/13.55
% 13.38/13.55 Resetting weight limit to 52 after 315 givens.
% 13.38/13.55
% 14.59/14.78
% 14.59/14.78
% 14.59/14.78 Changing weight limit from 52 to 51.
% 14.59/14.78
% 14.59/14.78 Resetting weight limit to 51 after 330 givens.
% 14.59/14.78
% 18.39/18.59
% 18.39/18.59
% 18.39/18.59 Changing weight limit from 51 to 50.
% 18.39/18.59
% 18.39/18.59 Resetting weight limit to 50 after 390 givens.
% 18.39/18.59
% 21.90/22.10
% 21.90/22.10
% 21.90/22.10 Changing weight limit from 50 to 49.
% 21.90/22.10
% 21.90/22.10 Resetting weight limit to 49 after 455 givens.
% 21.90/22.10
% 23.22/23.41
% 23.22/23.41
% 23.22/23.41 Changing weight limit from 49 to 47.
% 23.22/23.41
% 23.22/23.41 Resetting weight limit to 47 after 475 givens.
% 23.22/23.41
% 23.57/23.79
% 23.57/23.79
% 23.57/23.79 Changing weight limit from 47 to 46.
% 23.57/23.79
% 23.57/23.79 Resetting weight limit to 46 after 480 givens.
% 23.57/23.79
% 24.30/24.50
% 24.30/24.50
% 24.30/24.50 Changing weight limit from 46 to 45.
% 24.30/24.50
% 24.30/24.50 Resetting weight limit to 45 after 490 givens.
% 24.30/24.50
% 24.89/25.10
% 24.89/25.10
% 24.89/25.10 Changing weight limit from 45 to 44.
% 24.89/25.10
% 24.89/25.10 Resetting weight limit to 44 after 500 givens.
% 24.89/25.10
% 25.15/25.37
% 25.15/25.37
% 25.15/25.37 Changing weight limit from 44 to 34.
% 25.15/25.37
% 25.15/25.37 Resetting weight limit to 34 after 505 givens.
% 25.15/25.37
% 25.30/25.50
% 25.30/25.50
% 25.30/25.50 Changing weight limit from 34 to 31.
% 25.30/25.50
% 25.30/25.50 Resetting weight limit to 31 after 510 givens.
% 25.30/25.50
% 25.60/25.79
% 25.60/25.79
% 25.60/25.79 Changing weight limit from 31 to 30.
% 25.60/25.79
% 25.60/25.79 Resetting weight limit to 30 after 515 givens.
% 25.60/25.79
% 35.38/35.59
% 35.38/35.59
% 35.38/35.59 Changing weight limit from 30 to 29.
% 35.38/35.59
% 35.38/35.59 Resetting weight limit to 29 after 910 givens.
% 35.38/35.59
% 38.12/38.34
% 38.12/38.34
% 38.12/38.34 Changing weight limit from 29 to 18.
% 38.12/38.34
% 38.12/38.34 Resetting weight limit to 18 after 1305 givens.
% 38.12/38.34
% 38.27/38.46
% 38.27/38.46
% 38.27/38.46 Changing weight limit from 18 to 10.
% 38.27/38.46
% 38.27/38.46 Resetting weight limit to 10 after 1310 givens.
% 38.27/38.46
% 39.65/39.88
% 39.65/39.88
% 39.65/39.88 Changing weight limit from 10 to 9.
% 39.65/39.88
% 39.65/39.88 Resetting weight limit to 9 after 2135 givens.
% 39.65/39.88
% 40.17/40.36
% 40.17/40.36
% 40.17/40.36 Changing weight limit from 9 to 8.
% 40.17/40.36
% 40.17/40.36 Resetting weight limit to 8 after 2370 givens.
% 40.17/40.36
% 40.17/40.37
% 40.17/40.37
% 40.17/40.37 Changing weight limit from 8 to 5.
% 40.17/40.37
% 40.17/40.37 Resetting weight limit to 5 after 2375 givens.
% 40.17/40.37
% 41.56/41.78
% 41.56/41.78
% 41.56/41.78 Changing weight limit from 5 to 6.
% 41.56/41.78
% 41.56/41.78 Resetting weight limit to 6 after 4550 givens.
% 41.56/41.78
% 41.56/41.78
% 41.56/41.78
% 41.56/41.78 Changing weight limit from 6 to 7.
% 41.56/41.78
% 41.56/41.78 Resetting weight limit to 7 after 4555 givens.
% 41.56/41.78
% 41.56/41.78
% 41.56/41.78
% 41.56/41.78 Changing weight limit from 7 to 8.
% 41.56/41.78
% 41.56/41.78 Resetting weight limit to 8 after 4560 givens.
% 41.56/41.78
% 41.56/41.78
% 41.56/41.78
% 41.56/41.78 Changing weight limit from 8 to 9.
% 41.56/41.78
% 41.56/41.78 Resetting weight limit to 9 after 4565 givens.
% 41.56/41.78
% 41.56/41.79
% 41.56/41.79
% 41.56/41.79 Changing weight limit from 9 to 10.
% 41.56/41.79
% 41.56/41.79 Resetting weight limit to 10 after 4570 givens.
% 41.56/41.79
% 41.56/41.79
% 41.56/41.79
% 41.56/41.79 Changing weight limit from 10 to 11.
% 41.56/41.79
% 41.56/41.79 Resetting weight limit to 11 after 4575 givens.
% 41.56/41.79
% 41.56/41.79
% 41.56/41.79
% 41.56/41.79 Changing weight limit from 11 to 12.
% 41.56/41.79
% 41.56/41.79 Resetting weight limit to 12 after 4580 givens.
% 41.56/41.79
% 41.56/41.80
% 41.56/41.80
% 41.56/41.80 Changing weight limit from 12 to 13.
% 41.56/41.80
% 41.56/41.80 Resetting weight limit to 13 after 4585 givens.
% 41.56/41.80
% 41.56/41.80
% 41.56/41.80
% 41.56/41.80 Changing weight limit from 13 to 14.
% 41.56/41.80
% 41.56/41.80 Resetting weight limit to 14 after 4590 givens.
% 41.56/41.80
% 41.56/41.80
% 41.56/41.80
% 41.56/41.80 Changing weight limit from 14 to 15.
% 41.56/41.80
% 41.56/41.80 Resetting weight limit to 15 after 4595 givens.
% 41.56/41.80
% 41.56/41.81
% 41.56/41.81
% 41.56/41.81 Changing weight limit from 15 to 16.
% 41.56/41.81
% 41.56/41.81 Resetting weight limit to 16 after 4600 givens.
% 41.56/41.81
% 41.56/41.81
% 41.56/41.81
% 41.56/41.81 Changing weight limit from 16 to 17.
% 41.56/41.81
% 41.56/41.81 Resetting weight limit to 17 after 4605 givens.
% 41.56/41.81
% 41.56/41.81
% 41.56/41.81
% 41.56/41.81 Changing weight limit from 17 to 18.
% 41.56/41.81
% 41.56/41.81 Resetting weight limit to 18 after 4610 givens.
% 41.56/41.81
% 41.56/41.82
% 41.56/41.82
% 41.56/41.82 Changing weight limit from 18 to 19.
% 41.56/41.82
% 41.56/41.82 Resetting weight limit to 19 after 4615 givens.
% 41.56/41.82
% 41.56/41.82
% 41.56/41.82
% 41.56/41.82 Changing weight limit from 19 to 20.
% 41.56/41.82
% 41.56/41.82 Resetting weight limit to 20 after 4620 givens.
% 41.56/41.82
% 41.56/41.82
% 41.56/41.82
% 41.56/41.82 Changing weight limit from 20 to 21.
% 41.56/41.82
% 41.56/41.82 Resetting weight limit to 21 after 4625 givens.
% 41.56/41.82
% 41.56/41.82
% 41.56/41.82
% 41.56/41.82 Changing weight limit from 21 to 22.
% 41.56/41.82
% 41.56/41.82 Resetting weight limit to 22 after 4630 givens.
% 41.56/41.82
% 41.56/41.83
% 41.56/41.83
% 41.56/41.83 Changing weight limit from 22 to 23.
% 41.56/41.83
% 41.56/41.83 Resetting weight limit to 23 after 4635 givens.
% 41.56/41.83
% 41.56/41.83
% 41.56/41.83
% 41.56/41.83 Changing weight limit from 23 to 24.
% 41.56/41.83
% 41.56/41.83 Resetting weight limit to 24 after 4640 givens.
% 41.56/41.83
% 41.56/41.83
% 41.56/41.83
% 41.56/41.83 Changing weight limit from 24 to 25.
% 41.56/41.83
% 41.56/41.83 Resetting weight limit to 25 after 4645 givens.
% 41.56/41.83
% 41.56/41.84
% 41.56/41.84
% 41.56/41.84 Changing weight limit from 25 to 26.
% 41.56/41.84
% 41.56/41.84 Resetting weight limit to 26 after 4650 givens.
% 41.56/41.84
% 41.56/41.84
% 41.56/41.84
% 41.56/41.84 Changing weight limit from 26 to 27.
% 41.56/41.84
% 41.56/41.84 Resetting weight limit to 27 after 4655 givens.
% 41.56/41.84
% 41.67/41.84
% 41.67/41.84
% 41.67/41.84 Changing weight limit from 27 to 28.
% 41.67/41.84
% 41.67/41.84 Resetting weight limit to 28 after 4660 givens.
% 41.67/41.84
% 41.67/41.85
% 41.67/41.85
% 41.67/41.85 Changing weight limit from 28 to 29.
% 41.67/41.85
% 41.67/41.85 Resetting weight limit to 29 after 4665 givens.
% 41.67/41.85
% 41.67/41.85
% 41.67/41.85
% 41.67/41.85 Changing weight limit from 29 to 30.
% 41.67/41.85
% 41.67/41.85 Resetting weight limit to 30 after 4670 givens.
% 41.67/41.85
% 54.60/54.85
% 54.60/54.85
% 54.60/54.85 Changing weight limit from 30 to 9.
% 54.60/54.85
% 54.60/54.85 Resetting weight limit to 9 after 7600 givens.
% 54.60/54.85
% 63.50/63.71
% 63.50/63.71
% 63.50/63.71 Changing weight limit from 9 to 8.
% 63.50/63.71
% 63.50/63.71 Resetting weight limit to 8 after 10900 givens.
% 63.50/63.71
% 63.80/64.01
% 63.80/64.01
% 63.80/64.01 Changing weight limit from 8 to 5.
% 63.80/64.01
% 63.80/64.01 Resetting weight limit to 5 after 10920 givens.
% 63.80/64.01
% 89.48/89.66
% 89.48/89.66 -- HEY sandbox2, WE HAVE A PROOF!! --
% 89.48/89.66
% 89.48/89.66 ----> UNIT CONFLICT at 87.90 sec ----> 195060 [binary,195059.1,113.1] {-} $F.
% 89.48/89.66
% 89.48/89.66 Length of proof is 130. Level of proof is 24.
% 89.48/89.66
% 89.48/89.66 ---------------- PROOF ----------------
% 89.48/89.66 % SZS status Theorem
% 89.48/89.66 % SZS output start Refutation
% 89.48/89.66
% 89.48/89.66 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 89.48/89.66 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 89.48/89.66 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 89.48/89.66 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 89.48/89.66 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 89.48/89.66 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 89.48/89.66 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 89.48/89.66 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 89.48/89.66 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 89.48/89.66 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 89.48/89.66 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 89.48/89.66 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 89.48/89.66 16 [] {+} -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 89.48/89.66 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 89.48/89.66 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 89.48/89.66 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 89.48/89.66 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 89.48/89.66 44 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -cyclic(A,B,C,F)| -eqangle(C,A,C,B,F,D,F,E)|cong(A,B,D,E).
% 89.48/89.66 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 89.48/89.66 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 89.48/89.66 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 89.48/89.66 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 89.48/89.66 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 89.48/89.66 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 89.48/89.66 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 89.48/89.66 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 89.48/89.66 113 [] {+} -perp($c4,$c3,$c5,$c6).
% 89.48/89.66 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 89.48/89.66 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 89.48/89.66 123 [factor,44.2.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,E)|cong(A,B,D,E).
% 89.48/89.66 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 89.48/89.66 162 [] {-} coll($c7,$c8,$c9).
% 89.48/89.66 163 [] {-} perp($c6,$c7,$c12,$c10).
% 89.48/89.66 164 [] {-} coll($c6,$c12,$c10).
% 89.48/89.66 165 [] {-} perp($c5,$c7,$c12,$c11).
% 89.48/89.66 166 [] {-} coll($c5,$c12,$c11).
% 89.48/89.66 167 [] {-} perp($c4,$c8,$c12,$c11).
% 89.48/89.66 168 [] {-} coll($c4,$c12,$c11).
% 89.48/89.66 169 [] {-} perp($c3,$c8,$c12,$c10).
% 89.48/89.66 170 [] {-} coll($c3,$c12,$c10).
% 89.48/89.66 190 [hyper,162,2] {-} coll($c8,$c7,$c9).
% 89.48/89.66 191 [hyper,162,1] {-} coll($c7,$c9,$c8).
% 89.48/89.66 204 [hyper,164,114] {-} coll($c10,$c10,$c6).
% 89.48/89.66 206 [hyper,164,1] {-} coll($c6,$c10,$c12).
% 89.48/89.66 219 [hyper,166,114] {-} coll($c11,$c11,$c5).
% 89.48/89.66 221 [hyper,166,1] {-} coll($c5,$c11,$c12).
% 89.48/89.66 251 [hyper,168,114] {-} coll($c11,$c11,$c4).
% 89.48/89.66 253 [hyper,168,1] {-} coll($c4,$c11,$c12).
% 89.48/89.66 266 [hyper,170,114] {-} coll($c10,$c10,$c3).
% 89.48/89.66 296 [hyper,190,1] {-} coll($c8,$c9,$c7).
% 89.48/89.66 326 [hyper,191,114] {-} coll($c8,$c8,$c7).
% 89.48/89.66 340 [hyper,204,114] {-} coll($c6,$c6,$c10).
% 89.48/89.66 368 [hyper,206,114] {-} coll($c12,$c12,$c6).
% 89.48/89.66 382 [hyper,163,8] {-} perp($c12,$c10,$c6,$c7).
% 89.48/89.66 400 [hyper,219,114] {-} coll($c5,$c5,$c11).
% 89.48/89.66 428 [hyper,221,114] {-} coll($c12,$c12,$c5).
% 89.48/89.66 443 [hyper,251,3,219] {-} coll($c5,$c4,$c11).
% 89.48/89.66 458 [hyper,165,8] {-} perp($c12,$c11,$c5,$c7).
% 89.48/89.66 489 [hyper,253,114] {-} coll($c12,$c12,$c4).
% 89.48/89.66 505 [hyper,266,3,204] {-} coll($c3,$c6,$c10).
% 89.48/89.66 532 [hyper,167,8] {-} perp($c12,$c11,$c4,$c8).
% 89.48/89.66 605 [hyper,169,8] {-} perp($c12,$c10,$c3,$c8).
% 89.48/89.66 623 [hyper,296,114] {-} coll($c7,$c7,$c8).
% 89.48/89.66 637 [hyper,326,1] {-} coll($c8,$c7,$c8).
% 89.48/89.66 663 [hyper,340,1] {-} coll($c6,$c10,$c6).
% 89.48/89.66 886 [hyper,400,1] {-} coll($c5,$c11,$c5).
% 89.48/89.66 1042 [hyper,428,3,368] {-} coll($c5,$c6,$c12).
% 89.48/89.66 1182 [hyper,443,1] {-} coll($c5,$c11,$c4).
% 89.48/89.66 1338 [hyper,489,3,368] {-} coll($c4,$c6,$c12).
% 89.48/89.66 1470 [hyper,505,1] {-} coll($c3,$c10,$c6).
% 89.48/89.66 1878 [hyper,637,2] {-} coll($c7,$c8,$c8).
% 89.48/89.66 1903 [hyper,663,114] {-} coll($c6,$c6,$c6).
% 89.48/89.66 2145 [hyper,886,3,221] {-} coll($c5,$c12,$c5).
% 89.48/89.66 2371 [hyper,1042,1] {-} coll($c5,$c12,$c6).
% 89.48/89.66 2471 [hyper,1182,3,221] {-} coll($c4,$c12,$c5).
% 89.48/89.66 2655 [hyper,1338,1] {-} coll($c4,$c12,$c6).
% 89.48/89.66 2756 [hyper,1470,114] {-} coll($c6,$c6,$c3).
% 89.48/89.66 3863 [hyper,2371,114] {-} coll($c6,$c6,$c5).
% 89.48/89.66 3864 [hyper,2371,3,2145] {-} coll($c5,$c6,$c5).
% 89.48/89.66 4388 [hyper,2655,3,2471] {-} coll($c5,$c6,$c4).
% 89.48/89.66 8039 [hyper,382,9,163] {-} para($c6,$c7,$c6,$c7).
% 89.48/89.66 8041 [hyper,382,7] {-} perp($c12,$c10,$c7,$c6).
% 89.48/89.66 8077 [hyper,458,9,165] {-} para($c5,$c7,$c5,$c7).
% 89.48/89.66 8079 [hyper,458,7] {-} perp($c12,$c11,$c7,$c5).
% 89.48/89.66 8116 [hyper,532,7] {-} perp($c12,$c11,$c8,$c4).
% 89.48/89.66 8152 [hyper,605,7] {-} perp($c12,$c10,$c8,$c3).
% 89.48/89.66 8204 [hyper,8039,67] {-} coll($c6,$c7,$c7).
% 89.48/89.66 8205 [hyper,8039,40] {-} eqangle($c6,$c7,A,B,$c6,$c7,A,B).
% 89.48/89.66 8206 [hyper,8039,4] {-} para($c6,$c7,$c7,$c6).
% 89.48/89.66 8223 [hyper,8204,114] {-} coll($c7,$c7,$c6).
% 89.48/89.66 8225 [hyper,8204,2] {-} coll($c7,$c6,$c7).
% 89.48/89.66 8238 [hyper,8223,114] {-} coll($c6,$c6,$c7).
% 89.48/89.66 8239 [hyper,8223,3,623] {-} coll($c8,$c6,$c7).
% 89.48/89.66 8273 [hyper,8238,3,3863] {-} coll($c5,$c7,$c6).
% 89.48/89.66 8275 [hyper,8238,3,1903] {-} coll($c6,$c7,$c6).
% 89.48/89.66 8280 [hyper,8238,3,3863] {-} coll($c7,$c5,$c6).
% 89.48/89.66 8282 [hyper,8238,3,1903] {-} coll($c7,$c6,$c6).
% 89.48/89.66 8299 [hyper,8239,1] {-} coll($c8,$c7,$c6).
% 89.48/89.66 8384 [hyper,8273,1] {-} coll($c5,$c6,$c7).
% 89.48/89.66 8474 [hyper,8280,1] {-} coll($c7,$c6,$c5).
% 89.48/89.66 8548 [hyper,8299,114] {-} coll($c6,$c6,$c8).
% 89.48/89.66 8693 [hyper,8384,3,3864] {-} coll($c5,$c7,$c5).
% 89.48/89.66 8840 [hyper,8474,114] {-} coll($c5,$c5,$c7).
% 89.48/89.66 8843 [hyper,8474,3,8225] {-} coll($c7,$c5,$c7).
% 89.48/89.66 8846 [hyper,8474,3,8225] {-} coll($c5,$c7,$c7).
% 89.48/89.66 8930 [hyper,8548,3,3863] {-} coll($c5,$c8,$c6).
% 89.48/89.66 8931 [hyper,8548,3,2756] {-} coll($c3,$c8,$c6).
% 89.48/89.66 11144 [hyper,8930,1] {-} coll($c5,$c6,$c8).
% 89.48/89.66 11883 [hyper,11144,3,4388] {-} coll($c4,$c8,$c5).
% 89.48/89.66 15906 [hyper,8041,8] {-} perp($c7,$c6,$c12,$c10).
% 89.48/89.66 16544 [hyper,8077,4] {-} para($c5,$c7,$c7,$c5).
% 89.48/89.66 16756 [hyper,8079,8] {-} perp($c7,$c5,$c12,$c11).
% 89.48/89.66 17395 [hyper,8116,8] {-} perp($c8,$c4,$c12,$c11).
% 89.48/89.66 17821 [hyper,8152,8] {-} perp($c8,$c3,$c12,$c10).
% 89.48/89.66 18246 [hyper,8206,5] {-} para($c7,$c6,$c6,$c7).
% 89.48/89.66 18452 [hyper,15906,9,8041] {-} para($c7,$c6,$c7,$c6).
% 89.48/89.66 19299 [hyper,16544,5] {-} para($c7,$c5,$c5,$c7).
% 89.48/89.66 19302 [hyper,16756,9,8079] {-} para($c7,$c5,$c7,$c5).
% 89.48/89.66 20155 [hyper,17395,9,8079] {-} para($c8,$c4,$c7,$c5).
% 89.48/89.66 20584 [hyper,17821,9,8041] {-} para($c8,$c3,$c7,$c6).
% 89.48/89.66 23354 [hyper,8205,43,8548] {-} cyclic($c7,$c8,$c6,$c6).
% 89.48/89.66 23355 [hyper,8205,43,8238] {-} cyclic($c7,$c7,$c6,$c6).
% 89.48/89.66 23360 [hyper,8205,43,1903] {-} cyclic($c7,$c6,$c6,$c6).
% 89.48/89.66 27451 [hyper,23354,15] {-} cyclic($c7,$c6,$c8,$c6).
% 89.48/89.66 27452 [hyper,23355,15] {-} cyclic($c7,$c6,$c7,$c6).
% 89.48/89.66 29214 [hyper,27451,16] {-} cyclic($c6,$c7,$c8,$c6).
% 89.48/89.66 29220 [hyper,27452,16] {-} cyclic($c6,$c7,$c7,$c6).
% 89.48/89.66 29221 [hyper,27452,14] {-} cyclic($c7,$c6,$c6,$c7).
% 89.48/89.66 29577 [hyper,29214,14] {-} cyclic($c6,$c7,$c6,$c8).
% 89.48/89.66 29585 [hyper,29220,14] {-} cyclic($c6,$c7,$c6,$c7).
% 89.48/89.66 29586 [hyper,29221,123,23360,8205] {-} cong($c7,$c6,$c7,$c6).
% 89.48/89.66 29838 [hyper,29577,120] {-} cyclic($c7,$c6,$c8,$c8).
% 89.48/89.66 29864 [hyper,29585,17,29577] {-} cyclic($c7,$c6,$c8,$c7).
% 89.48/89.66 29874 [hyper,29586,68,8282] {-} midp($c7,$c6,$c6).
% 89.48/89.66 29879 [hyper,29874,129,8039] {-} midp($c7,$c7,$c7).
% 89.48/89.66 29882 [hyper,29874,46,18246,8238] {-} midp($c6,$c6,$c7).
% 89.48/89.66 29885 [hyper,29879,129,19302] {-} midp($c7,$c5,$c5).
% 89.48/89.66 29890 [hyper,29879,46,19302,8693] {-} midp($c5,$c7,$c5).
% 89.48/89.66 29891 [hyper,29879,46,18452,8275] {-} midp($c6,$c7,$c6).
% 89.48/89.66 29905 [hyper,29882,69] {-} cong($c6,$c6,$c6,$c7).
% 89.48/89.66 29941 [hyper,29885,69] {-} cong($c7,$c5,$c7,$c5).
% 89.48/89.66 29944 [hyper,29885,46,19299,8840] {-} midp($c5,$c5,$c7).
% 89.48/89.66 29963 [hyper,29890,69] {-} cong($c5,$c7,$c5,$c5).
% 89.48/89.66 29986 [hyper,29891,69] {-} cong($c6,$c7,$c6,$c6).
% 89.48/89.66 30012 [hyper,29944,69] {-} cong($c5,$c5,$c5,$c7).
% 89.48/89.66 31389 [hyper,29838,15] {-} cyclic($c7,$c8,$c6,$c8).
% 89.48/89.66 31547 [hyper,29864,15] {-} cyclic($c7,$c8,$c6,$c7).
% 89.48/89.66 33087 [hyper,29941,57,29586] {-} perp($c7,$c7,$c5,$c6).
% 89.48/89.66 33525 [hyper,29986,25,29905] {-} cong($c6,$c6,$c6,$c6).
% 89.48/89.66 33745 [hyper,30012,25,29963] {-} cong($c5,$c7,$c5,$c7).
% 89.48/89.66 44459 [hyper,31547,44,31389,23354,8205] {-} cong($c7,$c8,$c7,$c8).
% 89.48/89.66 44528 [hyper,33525,68,1903] {-} midp($c6,$c6,$c6).
% 89.48/89.66 44532 [hyper,44528,129,8039] {-} midp($c6,$c7,$c7).
% 89.48/89.66 44560 [hyper,33745,68,8846] {-} midp($c5,$c7,$c7).
% 89.48/89.66 44563 [hyper,44560,129,19302] {-} midp($c5,$c5,$c5).
% 89.48/89.66 44578 [hyper,44560,45,44532] {-} para($c5,$c6,$c7,$c7).
% 89.48/89.66 44591 [hyper,44563,46,8077,8843] {-} midp($c7,$c5,$c7).
% 89.48/89.66 73591 [hyper,44459,68,1878] {-} midp($c7,$c8,$c8).
% 89.48/89.66 73653 [hyper,73591,64,44591] {-} para($c5,$c8,$c7,$c8).
% 89.48/89.66 80187 [hyper,44578,10,33087] {-} perp($c5,$c6,$c5,$c6).
% 89.48/89.66 90264 [hyper,73653,46,44560,637] {-} midp($c8,$c7,$c8).
% 89.48/89.66 90975 [hyper,90264,11] {-} midp($c8,$c8,$c7).
% 89.48/89.66 93881 [hyper,90975,46,20584,8931] {-} midp($c3,$c8,$c6).
% 89.48/89.66 93882 [hyper,90975,46,20155,11883] {-} midp($c4,$c8,$c5).
% 89.48/89.66 97804 [hyper,93882,45,93881] {-} para($c4,$c3,$c5,$c6).
% 89.48/89.66 195059 [hyper,97804,10,80187] {-} perp($c4,$c3,$c5,$c6).
% 89.48/89.66 195060 [binary,195059.1,113.1] {-} $F.
% 89.48/89.66
% 89.48/89.66 % SZS output end Refutation
% 89.48/89.66 ------------ end of proof -------------
% 89.48/89.66
% 89.48/89.66
% 89.48/89.66 Search stopped by max_proofs option.
% 89.48/89.66
% 89.48/89.66
% 89.48/89.66 Search stopped by max_proofs option.
% 89.48/89.66
% 89.48/89.66 ============ end of search ============
% 89.48/89.66
% 89.48/89.66 That finishes the proof of the theorem.
% 89.48/89.66
% 89.48/89.66 Process 14248 finished Sat Jun 18 17:24:03 2022
%------------------------------------------------------------------------------