TSTP Solution File: GEO594+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO594+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 06:21:03 EDT 2022
% Result : Theorem 32.02s 32.26s
% Output : Refutation 32.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO594+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 23:52:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.38 ----- Otter 3.2, August 2001 -----
% 0.13/0.38 The process was started by sandbox on n011.cluster.edu,
% 0.13/0.38 Fri Jun 17 23:52:07 2022
% 0.13/0.38 The command was "./sos". The process ID is 9891.
% 0.13/0.38
% 0.13/0.38 set(prolog_style_variables).
% 0.13/0.38 set(auto).
% 0.13/0.38 dependent: set(auto1).
% 0.13/0.38 dependent: set(process_input).
% 0.13/0.38 dependent: clear(print_kept).
% 0.13/0.38 dependent: clear(print_new_demod).
% 0.13/0.38 dependent: clear(print_back_demod).
% 0.13/0.38 dependent: clear(print_back_sub).
% 0.13/0.38 dependent: set(control_memory).
% 0.13/0.38 dependent: assign(max_mem, 12000).
% 0.13/0.38 dependent: assign(pick_given_ratio, 4).
% 0.13/0.38 dependent: assign(stats_level, 1).
% 0.13/0.38 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.38 dependent: assign(sos_limit, 5000).
% 0.13/0.38 dependent: assign(max_weight, 60).
% 0.13/0.38 clear(print_given).
% 0.13/0.38
% 0.13/0.38 formula_list(usable).
% 0.13/0.38
% 0.13/0.38 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.38
% 0.13/0.38 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.38 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.38 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.38 clauses in usable.
% 0.13/0.38
% 0.13/0.38 dependent: set(knuth_bendix).
% 0.13/0.38 dependent: set(para_from).
% 0.13/0.38 dependent: set(para_into).
% 0.13/0.38 dependent: clear(para_from_right).
% 0.13/0.38 dependent: clear(para_into_right).
% 0.13/0.38 dependent: set(para_from_vars).
% 0.13/0.38 dependent: set(eq_units_both_ways).
% 0.13/0.38 dependent: set(dynamic_demod_all).
% 0.13/0.38 dependent: set(dynamic_demod).
% 0.13/0.38 dependent: set(order_eq).
% 0.13/0.38 dependent: set(back_demod).
% 0.13/0.38 dependent: set(lrpo).
% 0.13/0.38 dependent: set(hyper_res).
% 0.13/0.38 dependent: set(unit_deletion).
% 0.13/0.38 dependent: set(factor).
% 0.13/0.38
% 0.13/0.38 ------------> process usable:
% 0.13/0.38 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).
% 0.13/0.38
% 0.13/0.38 ------------> process sos:
% 0.13/0.38 Following clause subsumed by 165 during input processing: 0 [copy,165,flip.1] {-} A=A.
% 0.13/0.38 165 back subsumes 146.
% 0.13/0.38 165 back subsumes 145.
% 0.13/0.38 165 back subsumes 144.
% 0.13/0.38 165 back subsumes 143.
% 0.13/0.38
% 0.13/0.38 ======= 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: 161
% 0.19/0.44 percentage of clauses intially in UL: 95
% 0.19/0.44 percentage of distinct symbols occuring in initial UL: 92
% 0.19/0.44 percent of all initial clauses that are short: 100
% 0.19/0.44 absolute distinct symbol count: 38
% 0.19/0.44 distinct predicate count: 12
% 0.19/0.44 distinct function count: 20
% 0.19/0.44 distinct constant count: 6
% 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 ===========
% 10.00/10.25
% 10.00/10.25
% 10.00/10.25 Changing weight limit from 60 to 57.
% 10.00/10.25
% 10.00/10.25 Resetting weight limit to 57 after 265 givens.
% 10.00/10.25
% 10.42/10.61
% 10.42/10.61
% 10.42/10.61 Changing weight limit from 57 to 56.
% 10.42/10.61
% 10.42/10.61 Resetting weight limit to 56 after 270 givens.
% 10.42/10.61
% 11.10/11.33
% 11.10/11.33
% 11.10/11.33 Changing weight limit from 56 to 55.
% 11.10/11.33
% 11.10/11.33 Resetting weight limit to 55 after 280 givens.
% 11.10/11.33
% 14.02/14.29
% 14.02/14.29
% 14.02/14.29 Changing weight limit from 55 to 54.
% 14.02/14.29
% 14.02/14.29 Resetting weight limit to 54 after 290 givens.
% 14.02/14.29
% 14.62/14.87
% 14.62/14.87
% 14.62/14.87 Changing weight limit from 54 to 51.
% 14.62/14.87
% 14.62/14.87 Resetting weight limit to 51 after 295 givens.
% 14.62/14.87
% 15.28/15.49
% 15.28/15.49
% 15.28/15.49 Changing weight limit from 51 to 50.
% 15.28/15.49
% 15.28/15.49 Modelling stopped after 300 given clauses and 0.00 seconds
% 15.28/15.49
% 15.28/15.49
% 15.28/15.49 Resetting weight limit to 50 after 300 givens.
% 15.28/15.49
% 15.99/16.20
% 15.99/16.20
% 15.99/16.20 Changing weight limit from 50 to 49.
% 15.99/16.20
% 15.99/16.20 Resetting weight limit to 49 after 305 givens.
% 15.99/16.20
% 16.64/16.83
% 16.64/16.83
% 16.64/16.83 Changing weight limit from 49 to 36.
% 16.64/16.83
% 16.64/16.83 Resetting weight limit to 36 after 310 givens.
% 16.64/16.83
% 17.31/17.57
% 17.31/17.57
% 17.31/17.57 Changing weight limit from 36 to 31.
% 17.31/17.57
% 17.31/17.57 Resetting weight limit to 31 after 315 givens.
% 17.31/17.57
% 17.61/17.83
% 17.61/17.83
% 17.61/17.83 Changing weight limit from 31 to 30.
% 17.61/17.83
% 17.61/17.83 Resetting weight limit to 30 after 320 givens.
% 17.61/17.83
% 18.99/19.19
% 18.99/19.19
% 18.99/19.19 Changing weight limit from 30 to 29.
% 18.99/19.19
% 18.99/19.19 Resetting weight limit to 29 after 375 givens.
% 18.99/19.19
% 19.51/19.75
% 19.51/19.75
% 19.51/19.75 Changing weight limit from 29 to 18.
% 19.51/19.75
% 19.51/19.75 Resetting weight limit to 18 after 425 givens.
% 19.51/19.75
% 19.74/19.94
% 19.74/19.94
% 19.74/19.94 Changing weight limit from 18 to 17.
% 19.74/19.94
% 19.74/19.94 Resetting weight limit to 17 after 585 givens.
% 19.74/19.94
% 19.74/19.98
% 19.74/19.98
% 19.74/19.98 Changing weight limit from 17 to 16.
% 19.74/19.98
% 19.74/19.98 Resetting weight limit to 16 after 630 givens.
% 19.74/19.98
% 19.74/19.99
% 19.74/19.99
% 19.74/19.99 Changing weight limit from 16 to 15.
% 19.74/19.99
% 19.74/19.99 Resetting weight limit to 15 after 635 givens.
% 19.74/19.99
% 19.81/20.01
% 19.81/20.01
% 19.81/20.01 Changing weight limit from 15 to 14.
% 19.81/20.01
% 19.81/20.01 Resetting weight limit to 14 after 645 givens.
% 19.81/20.01
% 20.24/20.47
% 20.24/20.47
% 20.24/20.47 Changing weight limit from 14 to 13.
% 20.24/20.47
% 20.24/20.47 Resetting weight limit to 13 after 1085 givens.
% 20.24/20.47
% 20.24/20.48
% 20.24/20.48
% 20.24/20.48 Changing weight limit from 13 to 12.
% 20.24/20.48
% 20.24/20.48 Resetting weight limit to 12 after 1090 givens.
% 20.24/20.48
% 20.40/20.60
% 20.40/20.60
% 20.40/20.60 Changing weight limit from 12 to 11.
% 20.40/20.60
% 20.40/20.60 Resetting weight limit to 11 after 1225 givens.
% 20.40/20.60
% 20.40/20.62
% 20.40/20.62
% 20.40/20.62 Changing weight limit from 11 to 10.
% 20.40/20.62
% 20.40/20.62 Resetting weight limit to 10 after 1230 givens.
% 20.40/20.62
% 21.73/21.97
% 21.73/21.97
% 21.73/21.97 Changing weight limit from 10 to 9.
% 21.73/21.97
% 21.73/21.97 Resetting weight limit to 9 after 1450 givens.
% 21.73/21.97
% 30.00/30.27
% 30.00/30.27
% 30.00/30.27 Changing weight limit from 9 to 8.
% 30.00/30.27
% 30.00/30.27 Resetting weight limit to 8 after 5405 givens.
% 30.00/30.27
% 32.02/32.26
% 32.02/32.26 -- HEY sandbox, WE HAVE A PROOF!! --
% 32.02/32.26
% 32.02/32.26 ----> UNIT CONFLICT at 31.37 sec ----> 72662 [binary,72661.1,113.1] {-} $F.
% 32.02/32.26
% 32.02/32.26 Length of proof is 198. Level of proof is 26.
% 32.02/32.26
% 32.02/32.26 ---------------- PROOF ----------------
% 32.02/32.26 % SZS status Theorem
% 32.02/32.26 % SZS output start Refutation
% 32.02/32.26
% 32.02/32.26 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 32.02/32.26 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 32.02/32.26 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 32.02/32.26 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 32.02/32.26 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 32.02/32.26 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 32.02/32.26 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 32.02/32.26 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 32.02/32.26 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 32.02/32.26 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 32.02/32.26 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 32.02/32.26 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 32.02/32.26 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 32.02/32.26 16 [] {+} -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 32.02/32.26 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 32.02/32.26 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 32.02/32.26 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 32.02/32.26 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 32.02/32.26 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).
% 32.02/32.26 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 32.02/32.26 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 32.02/32.26 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 32.02/32.26 56 [] {+} -midp(A,B,C)| -perp(D,A,B,C)|cong(D,B,D,C).
% 32.02/32.26 58 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)| -cyclic(A,C,B,D)|perp(B,A,A,D).
% 32.02/32.26 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 32.02/32.26 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 32.02/32.26 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 32.02/32.26 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 32.02/32.26 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 32.02/32.26 113 [] {+} -cong($c4,$c1,$c4,$c2).
% 32.02/32.26 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 32.02/32.26 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 32.02/32.26 123 [factor,44.2.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,E)|cong(A,B,D,E).
% 32.02/32.26 124 [factor,45.1.2] {+} -midp(A,B,C)|para(A,A,C,C).
% 32.02/32.26 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 32.02/32.26 160 [] {-} circle($c3,$c6,$c5,$c4).
% 32.02/32.26 161 [] {-} coll($c2,$c4,$c3).
% 32.02/32.26 162 [] {-} coll($c2,$c6,$c5).
% 32.02/32.26 163 [] {-} perp($c6,$c3,$c6,$c1).
% 32.02/32.26 164 [] {-} para($c6,$c3,$c1,$c4).
% 32.02/32.26 213 [hyper,161,114] {-} coll($c3,$c3,$c2).
% 32.02/32.26 214 [hyper,161,2] {-} coll($c4,$c2,$c3).
% 32.02/32.26 228 [hyper,162,114] {-} coll($c5,$c5,$c2).
% 32.02/32.26 229 [hyper,162,2] {-} coll($c6,$c2,$c5).
% 32.02/32.26 230 [hyper,162,1] {-} coll($c2,$c5,$c6).
% 32.02/32.26 243 [hyper,213,114] {-} coll($c2,$c2,$c3).
% 32.02/32.26 275 [hyper,214,1] {-} coll($c4,$c3,$c2).
% 32.02/32.26 302 [hyper,228,114] {-} coll($c2,$c2,$c5).
% 32.02/32.26 316 [hyper,229,114] {-} coll($c5,$c5,$c6).
% 32.02/32.26 317 [hyper,229,1] {-} coll($c6,$c5,$c2).
% 32.02/32.26 334 [hyper,163,8] {-} perp($c6,$c1,$c6,$c3).
% 32.02/32.26 335 [hyper,163,7] {-} perp($c6,$c3,$c1,$c6).
% 32.02/32.26 352 [hyper,230,114] {-} coll($c6,$c6,$c2).
% 32.02/32.26 408 [hyper,164,5] {-} para($c1,$c4,$c6,$c3).
% 32.02/32.26 409 [hyper,164,4] {-} para($c6,$c3,$c4,$c1).
% 32.02/32.26 426 [hyper,275,114] {-} coll($c2,$c2,$c4).
% 32.02/32.26 468 [hyper,302,1] {-} coll($c2,$c5,$c2).
% 32.02/32.26 535 [hyper,316,114] {-} coll($c6,$c6,$c5).
% 32.02/32.26 536 [hyper,316,1] {-} coll($c5,$c6,$c5).
% 32.02/32.26 549 [hyper,317,114] {-} coll($c2,$c2,$c6).
% 32.02/32.26 563 [hyper,352,1] {-} coll($c6,$c2,$c6).
% 32.02/32.26 730 [hyper,426,3,302] {-} coll($c4,$c5,$c2).
% 32.02/32.26 889 [hyper,468,3,230] {-} coll($c2,$c6,$c2).
% 32.02/32.26 890 [hyper,468,2] {-} coll($c5,$c2,$c2).
% 32.02/32.26 994 [hyper,549,3,426] {-} coll($c4,$c6,$c2).
% 32.02/32.26 995 [hyper,549,3,243] {-} coll($c3,$c6,$c2).
% 32.02/32.26 996 [hyper,549,3,426] {-} coll($c6,$c4,$c2).
% 32.02/32.26 997 [hyper,549,3,243] {-} coll($c6,$c3,$c2).
% 32.02/32.26 1022 [hyper,563,114] {-} coll($c6,$c6,$c6).
% 32.02/32.26 1156 [hyper,730,1] {-} coll($c4,$c2,$c5).
% 32.02/32.26 1449 [hyper,994,1] {-} coll($c4,$c2,$c6).
% 32.02/32.26 1462 [hyper,995,1] {-} coll($c3,$c2,$c6).
% 32.02/32.26 1475 [hyper,996,1] {-} coll($c6,$c2,$c4).
% 32.02/32.26 1488 [hyper,997,1] {-} coll($c6,$c2,$c3).
% 32.02/32.26 1632 [hyper,1156,114] {-} coll($c5,$c5,$c4).
% 32.02/32.26 1869 [hyper,1449,114] {-} coll($c6,$c6,$c4).
% 32.02/32.26 1873 [hyper,1449,3,214] {-} coll($c3,$c6,$c4).
% 32.02/32.26 1890 [hyper,1462,114] {-} coll($c6,$c6,$c3).
% 32.02/32.26 1992 [hyper,1475,3,563] {-} coll($c4,$c6,$c6).
% 32.02/32.26 2008 [hyper,1488,3,563] {-} coll($c6,$c3,$c6).
% 32.02/32.26 2011 [hyper,1488,3,563] {-} coll($c3,$c6,$c6).
% 32.02/32.26 2405 [hyper,1873,54,160] {-} perp($c6,$c5,$c5,$c4).
% 32.02/32.26 2848 [hyper,334,9,163] {-} para($c6,$c3,$c6,$c3).
% 32.02/32.26 2849 [hyper,334,9,163] {-} para($c6,$c1,$c6,$c1).
% 32.02/32.26 2850 [hyper,334,7] {-} perp($c6,$c1,$c3,$c6).
% 32.02/32.26 2867 [hyper,335,9,334] {-} para($c6,$c1,$c1,$c6).
% 32.02/32.26 2868 [hyper,335,8] {-} perp($c1,$c6,$c6,$c3).
% 32.02/32.26 2920 [hyper,408,10,335] {-} perp($c1,$c4,$c1,$c6).
% 32.02/32.26 2923 [hyper,408,4] {-} para($c1,$c4,$c3,$c6).
% 32.02/32.26 2941 [hyper,409,6,408] {-} para($c1,$c4,$c4,$c1).
% 32.02/32.26 2942 [hyper,409,5] {-} para($c4,$c1,$c6,$c3).
% 32.02/32.26 3021 [hyper,2405,8] {-} perp($c5,$c4,$c6,$c5).
% 32.02/32.26 3022 [hyper,2405,7] {-} perp($c6,$c5,$c4,$c5).
% 32.02/32.26 3094 [hyper,2848,40] {-} eqangle($c6,$c3,A,B,$c6,$c3,A,B).
% 32.02/32.26 3095 [hyper,2848,4] {-} para($c6,$c3,$c3,$c6).
% 32.02/32.26 3112 [hyper,2849,67] {-} coll($c6,$c1,$c1).
% 32.02/32.26 3113 [hyper,2849,40] {-} eqangle($c6,$c1,A,B,$c6,$c1,A,B).
% 32.02/32.26 3130 [hyper,3112,114] {-} coll($c1,$c1,$c6).
% 32.02/32.26 3132 [hyper,3112,2] {-} coll($c1,$c6,$c1).
% 32.02/32.26 3145 [hyper,3130,114] {-} coll($c6,$c6,$c1).
% 32.02/32.26 3221 [hyper,3145,3,1869] {-} coll($c4,$c1,$c6).
% 32.02/32.26 3222 [hyper,3145,3,1022] {-} coll($c6,$c1,$c6).
% 32.02/32.26 3224 [hyper,3145,3,352] {-} coll($c2,$c1,$c6).
% 32.02/32.26 3225 [hyper,3145,3,1890] {-} coll($c1,$c3,$c6).
% 32.02/32.26 3226 [hyper,3145,3,1869] {-} coll($c1,$c4,$c6).
% 32.02/32.26 3227 [hyper,3145,3,1022] {-} coll($c1,$c6,$c6).
% 32.02/32.26 3271 [hyper,3221,1] {-} coll($c4,$c6,$c1).
% 32.02/32.26 3312 [hyper,3224,1] {-} coll($c2,$c6,$c1).
% 32.02/32.26 3325 [hyper,3225,1] {-} coll($c1,$c6,$c3).
% 32.02/32.26 3498 [hyper,3271,3,1992] {-} coll($c6,$c1,$c4).
% 32.02/32.26 3507 [hyper,3271,2] {-} coll($c6,$c4,$c1).
% 32.02/32.26 3558 [hyper,3312,114] {-} coll($c1,$c1,$c2).
% 32.02/32.26 3578 [hyper,3312,3,162] {-} coll($c5,$c1,$c2).
% 32.02/32.26 3581 [hyper,3312,3,889] {-} coll($c1,$c2,$c2).
% 32.02/32.26 3665 [hyper,3325,3,3132] {-} coll($c1,$c3,$c1).
% 32.02/32.26 6217 [hyper,2850,8] {-} perp($c3,$c6,$c6,$c1).
% 32.02/32.26 6313 [hyper,2867,5] {-} para($c1,$c6,$c6,$c1).
% 32.02/32.26 6402 [hyper,2868,9,335] {-} para($c1,$c6,$c1,$c6).
% 32.02/32.26 6424 [hyper,2920,8] {-} perp($c1,$c6,$c1,$c4).
% 32.02/32.26 6658 [hyper,2923,5] {-} para($c3,$c6,$c1,$c4).
% 32.02/32.26 6877 [hyper,2942,6,409] {-} para($c4,$c1,$c4,$c1).
% 32.02/32.26 6895 [hyper,3021,9,2405] {-} para($c6,$c5,$c6,$c5).
% 32.02/32.26 6896 [hyper,3021,9,2405] {-} para($c5,$c4,$c5,$c4).
% 32.02/32.26 6897 [hyper,3021,7] {-} perp($c5,$c4,$c5,$c6).
% 32.02/32.26 6914 [hyper,3022,9,3021] {-} para($c5,$c4,$c4,$c5).
% 32.02/32.26 7011 [hyper,3095,5] {-} para($c3,$c6,$c6,$c3).
% 32.02/32.26 7101 [hyper,6217,9,2850] {-} para($c3,$c6,$c3,$c6).
% 32.02/32.26 7292 [hyper,6402,40] {-} eqangle($c1,$c6,A,B,$c1,$c6,A,B).
% 32.02/32.26 7329 [hyper,6424,7] {-} perp($c1,$c6,$c4,$c1).
% 32.02/32.26 7526 [hyper,6658,6,2941] {-} para($c3,$c6,$c4,$c1).
% 32.02/32.26 7820 [hyper,6877,40] {-} eqangle($c4,$c1,A,B,$c4,$c1,A,B).
% 32.02/32.26 8010 [hyper,6895,40] {-} eqangle($c6,$c5,A,B,$c6,$c5,A,B).
% 32.02/32.26 8223 [hyper,6914,5] {-} para($c4,$c5,$c5,$c4).
% 32.02/32.26 17489 [hyper,3094,43,3145] {-} cyclic($c3,$c1,$c6,$c6).
% 32.02/32.26 17491 [hyper,3094,43,1890] {-} cyclic($c3,$c3,$c6,$c6).
% 32.02/32.26 17492 [hyper,3094,43,1869] {-} cyclic($c3,$c4,$c6,$c6).
% 32.02/32.26 17493 [hyper,3094,43,1022] {-} cyclic($c3,$c6,$c6,$c6).
% 32.02/32.26 17494 [hyper,3094,43,535] {-} cyclic($c3,$c5,$c6,$c6).
% 32.02/32.26 17495 [hyper,3094,43,352] {-} cyclic($c3,$c2,$c6,$c6).
% 32.02/32.26 17498 [hyper,17489,120] {-} cyclic($c1,$c6,$c6,$c6).
% 32.02/32.26 17501 [hyper,17489,15] {-} cyclic($c3,$c6,$c1,$c6).
% 32.02/32.26 17502 [hyper,17491,15] {-} cyclic($c3,$c6,$c3,$c6).
% 32.02/32.26 17505 [hyper,17492,15] {-} cyclic($c3,$c6,$c4,$c6).
% 32.02/32.26 17524 [hyper,3113,43,3145] {-} cyclic($c1,$c1,$c6,$c6).
% 32.02/32.26 17528 [hyper,3113,43,352] {-} cyclic($c1,$c2,$c6,$c6).
% 32.02/32.26 17531 [hyper,17494,120] {-} cyclic($c5,$c6,$c6,$c6).
% 32.02/32.26 17533 [hyper,17494,15] {-} cyclic($c3,$c6,$c5,$c6).
% 32.02/32.26 17536 [hyper,17495,15] {-} cyclic($c3,$c6,$c2,$c6).
% 32.02/32.26 17544 [hyper,17501,14] {-} cyclic($c3,$c6,$c6,$c1).
% 32.02/32.26 17547 [hyper,17502,14] {-} cyclic($c3,$c6,$c6,$c3).
% 32.02/32.26 17556 [hyper,17505,14] {-} cyclic($c3,$c6,$c6,$c4).
% 32.02/32.26 17559 [hyper,17524,15] {-} cyclic($c1,$c6,$c1,$c6).
% 32.02/32.26 17576 [hyper,17528,16] {-} cyclic($c2,$c1,$c6,$c6).
% 32.02/32.26 17578 [hyper,17531,16] {-} cyclic($c6,$c5,$c6,$c6).
% 32.02/32.26 17585 [hyper,17533,14] {-} cyclic($c3,$c6,$c6,$c5).
% 32.02/32.26 17594 [hyper,17536,14] {-} cyclic($c3,$c6,$c6,$c2).
% 32.02/32.26 17604 [hyper,17544,120] {-} cyclic($c6,$c6,$c1,$c1).
% 32.02/32.26 17610 [hyper,17547,123,17493,3094] {-} cong($c3,$c6,$c3,$c6).
% 32.02/32.26 17630 [hyper,17556,17,17544] {-} cyclic($c6,$c6,$c1,$c4).
% 32.02/32.26 17640 [hyper,17559,14] {-} cyclic($c1,$c6,$c6,$c1).
% 32.02/32.26 17652 [hyper,17576,15] {-} cyclic($c2,$c6,$c1,$c6).
% 32.02/32.26 17657 [hyper,17578,15] {-} cyclic($c6,$c6,$c5,$c6).
% 32.02/32.26 17676 [hyper,17585,120] {-} cyclic($c6,$c6,$c5,$c5).
% 32.02/32.26 17706 [hyper,17594,120] {-} cyclic($c6,$c6,$c2,$c2).
% 32.02/32.26 17708 [hyper,17594,17,17585] {-} cyclic($c6,$c6,$c5,$c2).
% 32.02/32.26 17711 [hyper,17594,17,17544] {-} cyclic($c6,$c6,$c1,$c2).
% 32.02/32.26 17716 [hyper,17594,17,17544] {-} cyclic($c6,$c6,$c2,$c1).
% 32.02/32.26 17764 [hyper,17610,68,2011] {-} midp($c3,$c6,$c6).
% 32.02/32.26 17773 [hyper,17764,129,6895] {-} midp($c3,$c5,$c5).
% 32.02/32.26 17774 [hyper,17764,129,2849] {-} midp($c3,$c1,$c1).
% 32.02/32.26 17775 [hyper,17764,129,2848] {-} midp($c3,$c3,$c3).
% 32.02/32.26 17778 [hyper,17764,46,7011,1890] {-} midp($c6,$c6,$c3).
% 32.02/32.26 17805 [hyper,17773,129,6896] {-} midp($c3,$c4,$c4).
% 32.02/32.26 17839 [hyper,17774,64,17773] {-} para($c1,$c5,$c1,$c5).
% 32.02/32.26 17840 [hyper,17774,46,6658,3498] {-} midp($c6,$c1,$c4).
% 32.02/32.26 17874 [hyper,17775,46,7101,2008] {-} midp($c6,$c3,$c6).
% 32.02/32.26 17926 [hyper,17778,56,2868] {-} cong($c1,$c6,$c1,$c3).
% 32.02/32.26 17998 [hyper,17805,46,7526,3507] {-} midp($c6,$c4,$c1).
% 32.02/32.26 18071 [hyper,17840,56,6424] {-} cong($c1,$c1,$c1,$c4).
% 32.02/32.26 18154 [hyper,17874,46,2849,3665] {-} midp($c1,$c3,$c1).
% 32.02/32.26 18247 [hyper,17998,56,7329] {-} cong($c1,$c4,$c1,$c1).
% 32.02/32.26 18248 [hyper,17998,46,2867,3226] {-} midp($c1,$c4,$c6).
% 32.02/32.26 18458 [hyper,18154,11] {-} midp($c1,$c1,$c3).
% 32.02/32.26 18470 [hyper,18248,124] {-} para($c1,$c1,$c6,$c6).
% 32.02/32.26 19018 [hyper,18458,46,2923,3221] {-} midp($c4,$c1,$c6).
% 32.02/32.26 19353 [hyper,19018,56,2920] {-} cong($c1,$c1,$c1,$c6).
% 32.02/32.26 19482 [hyper,17630,17,17604] {-} cyclic($c6,$c1,$c1,$c4).
% 32.02/32.26 19505 [hyper,17640,123,17498,3113] {-} cong($c1,$c6,$c1,$c6).
% 32.02/32.26 19527 [hyper,17652,16] {-} cyclic($c6,$c2,$c1,$c6).
% 32.02/32.26 19646 [hyper,17708,120] {-} cyclic($c6,$c5,$c2,$c2).
% 32.02/32.26 19656 [hyper,17708,17,17676] {-} cyclic($c6,$c5,$c2,$c5).
% 32.02/32.26 19657 [hyper,17708,17,17657] {-} cyclic($c6,$c5,$c2,$c6).
% 32.02/32.26 19680 [hyper,17711,120] {-} cyclic($c6,$c1,$c2,$c2).
% 32.02/32.26 19685 [hyper,17711,17,17604] {-} cyclic($c6,$c1,$c1,$c2).
% 32.02/32.26 19687 [hyper,17711,17,17630] {-} cyclic($c6,$c1,$c2,$c4).
% 32.02/32.26 19689 [hyper,17711,17,17604] {-} cyclic($c6,$c1,$c2,$c1).
% 32.02/32.26 19719 [hyper,17716,120] {-} cyclic($c6,$c2,$c1,$c1).
% 32.02/32.26 19729 [hyper,17716,17,17706] {-} cyclic($c6,$c2,$c1,$c2).
% 32.02/32.26 21062 [hyper,17926,68,3325] {-} midp($c1,$c6,$c3).
% 32.02/32.26 21153 [hyper,21062,46,2923,1992] {-} midp($c4,$c6,$c6).
% 32.02/32.26 21280 [hyper,21153,129,6895] {-} midp($c4,$c5,$c5).
% 32.02/32.26 21730 [hyper,21280,46,8223,1632] {-} midp($c5,$c5,$c4).
% 32.02/32.26 24963 [hyper,18247,25,18071] {-} cong($c1,$c4,$c1,$c4).
% 32.02/32.26 26835 [hyper,19353,68,3130] {-} midp($c1,$c1,$c6).
% 32.02/32.26 27007 [hyper,26835,65,6313,18470] {-} midp($c1,$c6,$c1).
% 32.02/32.26 27025 [hyper,26835,46,6313,3112] {-} midp($c6,$c1,$c1).
% 32.02/32.26 27389 [hyper,27007,46,17839,536] {-} midp($c5,$c6,$c5).
% 32.02/32.26 27768 [hyper,27025,129,17839] {-} midp($c6,$c5,$c5).
% 32.02/32.26 29027 [hyper,27389,64,21730] {-} para($c6,$c5,$c5,$c4).
% 32.02/32.26 29653 [hyper,27768,69] {-} cong($c6,$c5,$c6,$c5).
% 32.02/32.26 29978 [hyper,19505,68,3227] {-} midp($c1,$c6,$c6).
% 32.02/32.26 29988 [hyper,29978,129,2849] {-} midp($c1,$c1,$c1).
% 32.02/32.26 30471 [hyper,29988,46,6402,3222] {-} midp($c6,$c1,$c6).
% 32.02/32.26 33054 [hyper,19657,120] {-} cyclic($c5,$c2,$c6,$c6).
% 32.02/32.26 33061 [hyper,19657,17,19656] {-} cyclic($c5,$c2,$c6,$c5).
% 32.02/32.26 33065 [hyper,19657,17,19646] {-} cyclic($c5,$c2,$c6,$c2).
% 32.02/32.26 33309 [hyper,19685,17,19482] {-} cyclic($c1,$c1,$c4,$c2).
% 32.02/32.26 33324 [hyper,19687,120] {-} cyclic($c1,$c2,$c4,$c4).
% 32.02/32.26 33330 [hyper,19687,17,19680] {-} cyclic($c1,$c2,$c4,$c2).
% 32.02/32.26 33348 [hyper,19689,17,19687] {-} cyclic($c1,$c2,$c4,$c1).
% 32.02/32.26 46709 [hyper,7292,44,19527,19729,19719] {-} cong($c6,$c2,$c6,$c2).
% 32.02/32.26 47459 [hyper,29027,10,6897] {-} perp($c6,$c5,$c5,$c6).
% 32.02/32.26 49527 [hyper,33065,44,33061,33054,8010] {-} cong($c5,$c2,$c5,$c2).
% 32.02/32.26 49944 [hyper,33348,44,33330,33324,7820] {-} cong($c1,$c2,$c1,$c2).
% 32.02/32.26 61962 [hyper,46709,58,29653,17708] {-} perp($c5,$c6,$c6,$c2).
% 32.02/32.26 68172 [hyper,49527,68,890] {-} midp($c5,$c2,$c2).
% 32.02/32.26 68748 [hyper,49944,68,3581] {-} midp($c1,$c2,$c2).
% 32.02/32.26 68750 [hyper,49944,58,24963,33309] {-} perp($c4,$c1,$c1,$c2).
% 32.02/32.26 69031 [hyper,68748,45,68172] {-} para($c5,$c1,$c2,$c2).
% 32.02/32.26 71201 [hyper,61962,9,47459] {-} para($c6,$c5,$c6,$c2).
% 32.02/32.26 72561 [hyper,71201,46,30471,3578] {-} midp($c5,$c1,$c2).
% 32.02/32.26 72578 [hyper,72561,46,69031,3558] {-} midp($c1,$c1,$c2).
% 32.02/32.26 72661 [hyper,72578,56,68750] {-} cong($c4,$c1,$c4,$c2).
% 32.02/32.26 72662 [binary,72661.1,113.1] {-} $F.
% 32.02/32.26
% 32.02/32.26 % SZS output end Refutation
% 32.02/32.26 ------------ end of proof -------------
% 32.02/32.26
% 32.02/32.26
% 32.02/32.26 Search stopped by max_proofs option.
% 32.02/32.26
% 32.02/32.26
% 32.02/32.26 Search stopped by max_proofs option.
% 32.02/32.26
% 32.02/32.26 ============ end of search ============
% 32.02/32.26
% 32.02/32.26 That finishes the proof of the theorem.
% 32.02/32.26
% 32.02/32.26 Process 9891 finished Fri Jun 17 23:52:39 2022
%------------------------------------------------------------------------------