TSTP Solution File: GEO621+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO621+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n027.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 06:21:11 EDT 2022
% Result : Theorem 52.10s 52.27s
% Output : Refutation 52.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO621+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n027.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 : Sat Jun 18 08:58:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.37 ----- Otter 3.2, August 2001 -----
% 0.13/0.37 The process was started by sandbox on n027.cluster.edu,
% 0.13/0.37 Sat Jun 18 08:58:52 2022
% 0.13/0.37 The command was "./sos". The process ID is 22529.
% 0.13/0.37
% 0.13/0.37 set(prolog_style_variables).
% 0.13/0.37 set(auto).
% 0.13/0.37 dependent: set(auto1).
% 0.13/0.37 dependent: set(process_input).
% 0.13/0.37 dependent: clear(print_kept).
% 0.13/0.37 dependent: clear(print_new_demod).
% 0.13/0.37 dependent: clear(print_back_demod).
% 0.13/0.37 dependent: clear(print_back_sub).
% 0.13/0.37 dependent: set(control_memory).
% 0.13/0.37 dependent: assign(max_mem, 12000).
% 0.13/0.37 dependent: assign(pick_given_ratio, 4).
% 0.13/0.37 dependent: assign(stats_level, 1).
% 0.13/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37 dependent: assign(sos_limit, 5000).
% 0.13/0.37 dependent: assign(max_weight, 60).
% 0.13/0.37 clear(print_given).
% 0.13/0.37
% 0.13/0.37 formula_list(usable).
% 0.13/0.37
% 0.13/0.37 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.37
% 0.13/0.37 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.37 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.37 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.37 clauses in usable.
% 0.13/0.37
% 0.13/0.37 dependent: set(knuth_bendix).
% 0.13/0.37 dependent: set(para_from).
% 0.13/0.37 dependent: set(para_into).
% 0.13/0.37 dependent: clear(para_from_right).
% 0.13/0.37 dependent: clear(para_into_right).
% 0.13/0.37 dependent: set(para_from_vars).
% 0.13/0.37 dependent: set(eq_units_both_ways).
% 0.13/0.37 dependent: set(dynamic_demod_all).
% 0.13/0.37 dependent: set(dynamic_demod).
% 0.13/0.37 dependent: set(order_eq).
% 0.13/0.37 dependent: set(back_demod).
% 0.13/0.37 dependent: set(lrpo).
% 0.13/0.37 dependent: set(hyper_res).
% 0.13/0.37 dependent: set(unit_deletion).
% 0.13/0.37 dependent: set(factor).
% 0.13/0.37
% 0.13/0.37 ------------> process usable:
% 0.13/0.37 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).
% 0.13/0.37
% 0.13/0.37 ------------> process sos:
% 0.13/0.37 Following clause subsumed by 167 during input processing: 0 [copy,167,flip.1] {-} A=A.
% 0.13/0.37 167 back subsumes 146.
% 0.13/0.37 167 back subsumes 145.
% 0.13/0.37 167 back subsumes 144.
% 0.13/0.37 167 back subsumes 143.
% 0.13/0.37
% 0.13/0.37 ======= end of input processing =======
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 Failed to model usable list: disabling FINDER
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 -------------- Softie stats --------------
% 0.20/0.44
% 0.20/0.44 UPDATE_STOP: 300
% 0.20/0.44 SFINDER_TIME_LIMIT: 2
% 0.20/0.44 SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.44 number of clauses in intial UL: 154
% 0.20/0.44 number of clauses initially in problem: 163
% 0.20/0.44 percentage of clauses intially in UL: 94
% 0.20/0.44 percentage of distinct symbols occuring in initial UL: 87
% 0.20/0.44 percent of all initial clauses that are short: 100
% 0.20/0.44 absolute distinct symbol count: 41
% 0.20/0.44 distinct predicate count: 12
% 0.20/0.44 distinct function count: 20
% 0.20/0.44 distinct constant count: 9
% 0.20/0.44
% 0.20/0.44 ---------- no more Softie stats ----------
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 =========== start of search ===========
% 3.61/3.81
% 3.61/3.81
% 3.61/3.81 Changing weight limit from 60 to 56.
% 3.61/3.81
% 3.61/3.81 Resetting weight limit to 56 after 230 givens.
% 3.61/3.81
% 4.50/4.68
% 4.50/4.68
% 4.50/4.68 Changing weight limit from 56 to 55.
% 4.50/4.68
% 4.50/4.68 Resetting weight limit to 55 after 240 givens.
% 4.50/4.68
% 5.53/5.75
% 5.53/5.75
% 5.53/5.75 Changing weight limit from 55 to 54.
% 5.53/5.75
% 5.53/5.75 Resetting weight limit to 54 after 250 givens.
% 5.53/5.75
% 6.05/6.27
% 6.05/6.27
% 6.05/6.27 Changing weight limit from 54 to 53.
% 6.05/6.27
% 6.05/6.27 Resetting weight limit to 53 after 255 givens.
% 6.05/6.27
% 6.82/7.03
% 6.82/7.03
% 6.82/7.03 Changing weight limit from 53 to 51.
% 6.82/7.03
% 6.82/7.03 Resetting weight limit to 51 after 260 givens.
% 6.82/7.03
% 6.97/7.20
% 6.97/7.20
% 6.97/7.20 Changing weight limit from 51 to 50.
% 6.97/7.20
% 6.97/7.20 Resetting weight limit to 50 after 265 givens.
% 6.97/7.20
% 8.37/8.57
% 8.37/8.57
% 8.37/8.57 Changing weight limit from 50 to 49.
% 8.37/8.57
% 8.37/8.57 Resetting weight limit to 49 after 280 givens.
% 8.37/8.57
% 9.20/9.42
% 9.20/9.42
% 9.20/9.42 Changing weight limit from 49 to 45.
% 9.20/9.42
% 9.20/9.42 Resetting weight limit to 45 after 290 givens.
% 9.20/9.42
% 9.50/9.77
% 9.50/9.77
% 9.50/9.77 Changing weight limit from 45 to 37.
% 9.50/9.77
% 9.50/9.77 Resetting weight limit to 37 after 295 givens.
% 9.50/9.77
% 10.22/10.40
% 10.22/10.40
% 10.22/10.40 Changing weight limit from 37 to 36.
% 10.22/10.40
% 10.22/10.40 Modelling stopped after 300 given clauses and 0.00 seconds
% 10.22/10.40
% 10.22/10.40
% 10.22/10.40 Resetting weight limit to 36 after 310 givens.
% 10.22/10.40
% 11.10/11.28
% 11.10/11.28
% 11.10/11.28 Changing weight limit from 36 to 35.
% 11.10/11.28
% 11.10/11.28 Resetting weight limit to 35 after 325 givens.
% 11.10/11.28
% 11.69/11.89
% 11.69/11.89
% 11.69/11.89 Changing weight limit from 35 to 31.
% 11.69/11.89
% 11.69/11.89 Resetting weight limit to 31 after 330 givens.
% 11.69/11.89
% 11.81/11.99
% 11.81/11.99
% 11.81/11.99 Changing weight limit from 31 to 30.
% 11.81/11.99
% 11.81/11.99 Resetting weight limit to 30 after 335 givens.
% 11.81/11.99
% 16.26/16.49
% 16.26/16.49
% 16.26/16.49 Changing weight limit from 30 to 29.
% 16.26/16.49
% 16.26/16.49 Resetting weight limit to 29 after 615 givens.
% 16.26/16.49
% 17.22/17.40
% 17.22/17.40
% 17.22/17.40 Changing weight limit from 29 to 23.
% 17.22/17.40
% 17.22/17.40 Resetting weight limit to 23 after 690 givens.
% 17.22/17.40
% 17.36/17.59
% 17.36/17.59
% 17.36/17.59 Changing weight limit from 23 to 17.
% 17.36/17.59
% 17.36/17.59 Resetting weight limit to 17 after 695 givens.
% 17.36/17.59
% 17.45/17.66
% 17.45/17.66
% 17.45/17.66 Changing weight limit from 17 to 15.
% 17.45/17.66
% 17.45/17.66 Resetting weight limit to 15 after 700 givens.
% 17.45/17.66
% 17.52/17.73
% 17.52/17.73
% 17.52/17.73 Changing weight limit from 15 to 11.
% 17.52/17.73
% 17.52/17.73 Resetting weight limit to 11 after 705 givens.
% 17.52/17.73
% 17.62/17.78
% 17.62/17.78
% 17.62/17.78 Changing weight limit from 11 to 10.
% 17.62/17.78
% 17.62/17.78 Resetting weight limit to 10 after 715 givens.
% 17.62/17.78
% 19.91/20.15
% 19.91/20.15
% 19.91/20.15 Changing weight limit from 10 to 9.
% 19.91/20.15
% 19.91/20.15 Resetting weight limit to 9 after 1415 givens.
% 19.91/20.15
% 24.89/25.06
% 24.89/25.06
% 24.89/25.06 Changing weight limit from 9 to 8.
% 24.89/25.06
% 24.89/25.06 Resetting weight limit to 8 after 4805 givens.
% 24.89/25.06
% 27.42/27.65
% 27.42/27.65
% 27.42/27.65 Changing weight limit from 8 to 5.
% 27.42/27.65
% 27.42/27.65 Resetting weight limit to 5 after 5050 givens.
% 27.42/27.65
% 52.10/52.27
% 52.10/52.27 -- HEY sandbox, WE HAVE A PROOF!! --
% 52.10/52.27
% 52.10/52.27 ----> UNIT CONFLICT at 49.84 sec ----> 145357 [binary,145356.1,113.1] {-} $F.
% 52.10/52.27
% 52.10/52.27 Length of proof is 171. Level of proof is 20.
% 52.10/52.27
% 52.10/52.27 ---------------- PROOF ----------------
% 52.10/52.27 % SZS status Theorem
% 52.10/52.27 % SZS output start Refutation
% 52.10/52.27
% 52.10/52.27 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 52.10/52.27 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 52.10/52.27 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 52.10/52.27 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 52.10/52.27 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 52.10/52.27 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 52.10/52.27 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 52.10/52.27 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 52.10/52.27 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 52.10/52.27 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 52.10/52.27 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 52.10/52.27 13 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)| -cong(A,B,A,E)|cyclic(B,C,D,E).
% 52.10/52.27 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 52.10/52.27 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 52.10/52.27 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 52.10/52.27 23 [] {+} -cong(A,B,C,D)|cong(A,B,D,C).
% 52.10/52.27 24 [] {+} -cong(A,B,C,D)|cong(C,D,A,B).
% 52.10/52.27 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 52.10/52.27 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 52.10/52.27 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 52.10/52.27 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).
% 52.10/52.27 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 52.10/52.27 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 52.10/52.27 53 [] {+} -perp(A,B,B,C)| -midp(D,A,C)|cong(A,D,B,D).
% 52.10/52.27 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 52.10/52.27 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 52.10/52.27 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 52.10/52.27 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 52.10/52.27 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 52.10/52.27 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 52.10/52.27 70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 52.10/52.27 86 [] {+} -midp(A,B,C)| -midp(D,E,F)|midp($f6(B,C,E,F,A,D),B,F).
% 52.10/52.27 113 [] {+} -cyclic($c8,$c2,$c7,$c1).
% 52.10/52.27 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 52.10/52.27 117 [factor,13.1.2] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,C,D).
% 52.10/52.27 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 52.10/52.27 121 [factor,44.1.2] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,D)|cong(A,B,D,D).
% 52.10/52.27 124 [factor,45.1.2] {+} -midp(A,B,C)|para(A,A,C,C).
% 52.10/52.27 125 [factor,57.1.2] {+} -cong(A,B,C,B)|perp(A,C,B,B).
% 52.10/52.27 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 52.10/52.27 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 52.10/52.27 154 [factor,117.1.2] {+} -cong(A,B,A,C)|cyclic(B,C,C,C).
% 52.10/52.27 155 [factor,121.1.2] {+} -cyclic(A,B,C,D)| -eqangle(C,A,C,B,D,D,D,D)|cong(A,B,D,D).
% 52.10/52.27 159 [] {-} midp($c6,$c8,$c9).
% 52.10/52.27 160 [] {-} midp($c5,$c7,$c8).
% 52.10/52.27 161 [] {-} midp($c4,$c9,$c7).
% 52.10/52.27 163 [] {-} perp($c5,$c3,$c5,$c2).
% 52.10/52.27 164 [] {-} coll($c2,$c9,$c8).
% 52.10/52.27 165 [] {-} coll($c1,$c5,$c2).
% 52.10/52.27 166 [] {-} coll($c1,$c9,$c7).
% 52.10/52.27 174 [hyper,159,70] {-} coll($c6,$c8,$c9).
% 52.10/52.27 175 [hyper,159,69] {-} cong($c6,$c8,$c6,$c9).
% 52.10/52.27 176 [hyper,159,11] {-} midp($c6,$c9,$c8).
% 52.10/52.27 199 [hyper,160,86,159] {-} midp($f6($c8,$c9,$c7,$c8,$c6,$c5),$c8,$c8).
% 52.10/52.27 203 [hyper,160,70] {-} coll($c5,$c7,$c8).
% 52.10/52.27 204 [hyper,160,69] {-} cong($c5,$c7,$c5,$c8).
% 52.10/52.27 205 [hyper,160,11] {-} midp($c5,$c8,$c7).
% 52.10/52.27 240 [hyper,161,70] {-} coll($c4,$c9,$c7).
% 52.10/52.27 241 [hyper,161,69] {-} cong($c4,$c9,$c4,$c7).
% 52.10/52.27 242 [hyper,161,11] {-} midp($c4,$c7,$c9).
% 52.10/52.27 255 [hyper,164,114] {-} coll($c8,$c8,$c2).
% 52.10/52.27 256 [hyper,164,2] {-} coll($c9,$c2,$c8).
% 52.10/52.27 287 [hyper,165,114] {-} coll($c2,$c2,$c1).
% 52.10/52.27 302 [hyper,166,114] {-} coll($c7,$c7,$c1).
% 52.10/52.27 303 [hyper,166,2] {-} coll($c9,$c1,$c7).
% 52.10/52.27 317 [hyper,174,114] {-} coll($c9,$c9,$c6).
% 52.10/52.27 318 [hyper,174,2] {-} coll($c8,$c6,$c9).
% 52.10/52.27 363 [hyper,176,64,159] {-} para($c8,$c9,$c9,$c8).
% 52.10/52.27 383 [hyper,163,8] {-} perp($c5,$c2,$c5,$c3).
% 52.10/52.27 401 [hyper,203,114] {-} coll($c8,$c8,$c5).
% 52.10/52.27 403 [hyper,203,1] {-} coll($c5,$c8,$c7).
% 52.10/52.27 454 [hyper,205,69] {-} cong($c5,$c8,$c5,$c7).
% 52.10/52.27 457 [hyper,205,45,159] {-} para($c6,$c5,$c9,$c7).
% 52.10/52.27 458 [hyper,205,45,159] {-} para($c5,$c6,$c7,$c9).
% 52.10/52.27 471 [hyper,240,114] {-} coll($c7,$c7,$c4).
% 52.10/52.27 473 [hyper,240,1] {-} coll($c4,$c7,$c9).
% 52.10/52.27 535 [hyper,242,45,160] {-} para($c5,$c4,$c8,$c9).
% 52.10/52.27 536 [hyper,242,45,160] {-} para($c4,$c5,$c9,$c8).
% 52.10/52.27 591 [hyper,255,114] {-} coll($c2,$c2,$c8).
% 52.10/52.27 592 [hyper,255,1] {-} coll($c8,$c2,$c8).
% 52.10/52.27 605 [hyper,256,114] {-} coll($c8,$c8,$c9).
% 52.10/52.27 633 [hyper,287,114] {-} coll($c1,$c1,$c2).
% 52.10/52.27 717 [hyper,302,114] {-} coll($c1,$c1,$c7).
% 52.10/52.27 718 [hyper,302,1] {-} coll($c7,$c1,$c7).
% 52.10/52.27 731 [hyper,303,114] {-} coll($c7,$c7,$c9).
% 52.10/52.27 854 [hyper,317,114] {-} coll($c6,$c6,$c9).
% 52.10/52.27 868 [hyper,318,114] {-} coll($c9,$c9,$c8).
% 52.10/52.27 931 [hyper,401,114] {-} coll($c5,$c5,$c8).
% 52.10/52.27 934 [hyper,401,1] {-} coll($c8,$c5,$c8).
% 52.10/52.27 961 [hyper,403,114] {-} coll($c7,$c7,$c5).
% 52.10/52.27 975 [hyper,471,114] {-} coll($c4,$c4,$c7).
% 52.10/52.27 1022 [hyper,473,114] {-} coll($c9,$c9,$c4).
% 52.10/52.27 1036 [hyper,591,3,287] {-} coll($c1,$c8,$c2).
% 52.10/52.27 1038 [hyper,591,1] {-} coll($c2,$c8,$c2).
% 52.10/52.27 1051 [hyper,592,114] {-} coll($c8,$c8,$c8).
% 52.10/52.27 1085 [hyper,605,3,401] {-} coll($c5,$c9,$c8).
% 52.10/52.27 1086 [hyper,605,3,401] {-} coll($c9,$c5,$c8).
% 52.10/52.27 1145 [hyper,175,23] {-} cong($c6,$c8,$c9,$c6).
% 52.10/52.27 1326 [hyper,717,3,633] {-} coll($c7,$c2,$c1).
% 52.10/52.27 1340 [hyper,718,114] {-} coll($c7,$c7,$c7).
% 52.10/52.27 1434 [hyper,731,114] {-} coll($c9,$c9,$c7).
% 52.10/52.27 1573 [hyper,854,1] {-} coll($c6,$c9,$c6).
% 52.10/52.27 1742 [hyper,931,1] {-} coll($c5,$c8,$c5).
% 52.10/52.27 1836 [hyper,934,2] {-} coll($c5,$c8,$c8).
% 52.10/52.27 1940 [hyper,961,3,471] {-} coll($c4,$c5,$c7).
% 52.10/52.27 1971 [hyper,975,1] {-} coll($c4,$c7,$c4).
% 52.10/52.27 2095 [hyper,1022,3,868] {-} coll($c8,$c4,$c9).
% 52.10/52.27 2182 [hyper,1036,1] {-} coll($c1,$c2,$c8).
% 52.10/52.27 2300 [hyper,1085,1] {-} coll($c5,$c8,$c9).
% 52.10/52.27 2313 [hyper,1086,1] {-} coll($c9,$c8,$c5).
% 52.10/52.27 2790 [hyper,1326,1] {-} coll($c7,$c1,$c2).
% 52.10/52.27 2921 [hyper,1340,3,961] {-} coll($c5,$c7,$c7).
% 52.10/52.27 2948 [hyper,1434,3,317] {-} coll($c6,$c7,$c9).
% 52.10/52.27 3169 [hyper,1573,2] {-} coll($c9,$c6,$c6).
% 52.10/52.27 3566 [hyper,1742,2] {-} coll($c8,$c5,$c5).
% 52.10/52.27 3621 [hyper,199,128] {-} para($c8,$c8,$c8,$c8).
% 52.10/52.27 4097 [hyper,1940,1] {-} coll($c4,$c7,$c5).
% 52.10/52.27 4195 [hyper,204,154] {-} cyclic($c7,$c8,$c8,$c8).
% 52.10/52.27 4198 [hyper,204,23] {-} cong($c5,$c7,$c8,$c5).
% 52.10/52.27 4258 [hyper,1971,2] {-} coll($c7,$c4,$c4).
% 52.10/52.27 4539 [hyper,2095,1] {-} coll($c8,$c9,$c4).
% 52.10/52.27 4801 [hyper,2182,114] {-} coll($c8,$c8,$c1).
% 52.10/52.27 4966 [hyper,2300,3,1836] {-} coll($c8,$c9,$c5).
% 52.10/52.27 5041 [hyper,2313,114] {-} coll($c5,$c5,$c9).
% 52.10/52.27 5609 [hyper,2790,3,718] {-} coll($c2,$c7,$c7).
% 52.10/52.27 7140 [hyper,4097,114] {-} coll($c5,$c5,$c4).
% 52.10/52.27 8444 [hyper,4966,3,4539] {-} coll($c4,$c5,$c8).
% 52.10/52.27 8540 [hyper,241,23] {-} cong($c4,$c9,$c7,$c4).
% 52.10/52.27 11973 [hyper,363,4] {-} para($c8,$c9,$c8,$c9).
% 52.10/52.27 12393 [hyper,383,9,163] {-} para($c5,$c3,$c5,$c3).
% 52.10/52.27 12394 [hyper,383,9,163] {-} para($c5,$c2,$c5,$c2).
% 52.10/52.27 12395 [hyper,383,7] {-} perp($c5,$c2,$c3,$c5).
% 52.10/52.27 12678 [hyper,454,25,204] {-} cong($c5,$c7,$c5,$c7).
% 52.10/52.27 13094 [hyper,457,5] {-} para($c9,$c7,$c6,$c5).
% 52.10/52.27 14094 [hyper,535,6,363] {-} para($c5,$c4,$c9,$c8).
% 52.10/52.27 14095 [hyper,535,5] {-} para($c8,$c9,$c5,$c4).
% 52.10/52.27 14237 [hyper,536,5] {-} para($c9,$c8,$c4,$c5).
% 52.10/52.27 14395 [hyper,1145,24] {-} cong($c9,$c6,$c6,$c8).
% 52.10/52.27 14815 [hyper,3621,40] {-} eqangle($c8,$c8,A,B,$c8,$c8,A,B).
% 52.10/52.27 14819 [hyper,4195,120] {-} cyclic($c8,$c8,$c8,$c8).
% 52.10/52.27 14826 [hyper,4198,24] {-} cong($c8,$c5,$c5,$c7).
% 52.10/52.27 15535 [hyper,8540,24] {-} cong($c7,$c4,$c4,$c9).
% 52.10/52.27 16464 [hyper,11973,40] {-} eqangle($c8,$c9,A,B,$c8,$c9,A,B).
% 52.10/52.27 17220 [hyper,12393,67] {-} coll($c5,$c3,$c3).
% 52.10/52.27 17223 [hyper,17220,114] {-} coll($c3,$c3,$c5).
% 52.10/52.27 17228 [hyper,17223,114] {-} coll($c5,$c5,$c3).
% 52.10/52.27 17234 [hyper,17228,3,7140] {-} coll($c4,$c3,$c5).
% 52.10/52.27 17236 [hyper,17228,3,5041] {-} coll($c9,$c3,$c5).
% 52.10/52.27 17242 [hyper,17228,3,7140] {-} coll($c3,$c4,$c5).
% 52.10/52.27 17248 [hyper,17228,3,931] {-} coll($c3,$c8,$c5).
% 52.10/52.27 17252 [hyper,17234,1] {-} coll($c4,$c5,$c3).
% 52.10/52.27 17279 [hyper,17242,1] {-} coll($c3,$c5,$c4).
% 52.10/52.27 17373 [hyper,17248,1] {-} coll($c3,$c5,$c8).
% 52.10/52.27 17385 [hyper,17252,3,8444] {-} coll($c8,$c3,$c4).
% 52.10/52.27 17390 [hyper,17252,3,1940] {-} coll($c7,$c3,$c4).
% 52.10/52.27 17663 [hyper,17373,3,17279] {-} coll($c4,$c8,$c3).
% 52.10/52.27 19844 [hyper,12678,68,2921] {-} midp($c5,$c7,$c7).
% 52.10/52.27 19910 [hyper,19844,64,205] {-} para($c7,$c8,$c7,$c7).
% 52.10/52.27 19911 [hyper,19844,64,160] {-} para($c7,$c7,$c7,$c8).
% 52.10/52.27 19914 [hyper,19844,46,458,2948] {-} midp($c6,$c7,$c9).
% 52.10/52.27 19986 [hyper,19914,64,176] {-} para($c9,$c7,$c8,$c9).
% 52.10/52.27 20933 [hyper,13094,6,457] {-} para($c6,$c5,$c6,$c5).
% 52.10/52.27 22847 [hyper,14094,5] {-} para($c9,$c8,$c5,$c4).
% 52.10/52.27 23371 [hyper,14237,6,536] {-} para($c4,$c5,$c4,$c5).
% 52.10/52.27 24066 [hyper,14395,25,1145] {-} cong($c9,$c6,$c9,$c6).
% 52.10/52.27 24934 [hyper,14826,25,4198] {-} cong($c8,$c5,$c8,$c5).
% 52.10/52.27 26010 [hyper,15535,25,8540] {-} cong($c7,$c4,$c7,$c4).
% 52.10/52.27 39295 [hyper,19986,6,14095] {-} para($c9,$c7,$c5,$c4).
% 52.10/52.27 52348 [hyper,24066,68,3169] {-} midp($c9,$c6,$c6).
% 52.10/52.27 52351 [hyper,52348,129,20933] {-} midp($c9,$c5,$c5).
% 52.10/52.27 52463 [hyper,52351,129,12394] {-} midp($c9,$c2,$c2).
% 52.10/52.27 52464 [hyper,52351,129,12393] {-} midp($c9,$c3,$c3).
% 52.10/52.27 52575 [hyper,52351,69] {-} cong($c9,$c5,$c9,$c5).
% 52.10/52.27 52819 [hyper,52463,124] {-} para($c9,$c9,$c2,$c2).
% 52.10/52.27 52942 [hyper,52463,69] {-} cong($c9,$c2,$c9,$c2).
% 52.10/52.27 53583 [hyper,24934,68,3566] {-} midp($c8,$c5,$c5).
% 52.10/52.27 53606 [hyper,53583,129,12394] {-} midp($c8,$c2,$c2).
% 52.10/52.27 54947 [hyper,26010,68,4258] {-} midp($c7,$c4,$c4).
% 52.10/52.27 54949 [hyper,54947,129,23371] {-} midp($c7,$c5,$c5).
% 52.10/52.27 55044 [hyper,54949,129,12394] {-} midp($c7,$c2,$c2).
% 52.10/52.27 60207 [hyper,52819,5] {-} para($c2,$c2,$c9,$c9).
% 52.10/52.27 60212 [hyper,52942,125] {-} perp($c9,$c9,$c2,$c2).
% 52.10/52.27 60214 [hyper,52942,57,52575] {-} perp($c9,$c9,$c5,$c2).
% 52.10/52.27 65138 [hyper,60212,10,60207] {-} perp($c2,$c2,$c2,$c2).
% 52.10/52.27 65191 [hyper,60214,9,12395] {-} para($c9,$c9,$c3,$c5).
% 52.10/52.27 66976 [hyper,14815,155,14819] {-} cong($c8,$c8,$c8,$c8).
% 52.10/52.27 67469 [hyper,65138,53,55044] {-} cong($c2,$c7,$c2,$c7).
% 52.10/52.27 67470 [hyper,65138,53,53606] {-} cong($c2,$c8,$c2,$c8).
% 52.10/52.27 70640 [hyper,65191,46,52464,17236] {-} midp($c9,$c3,$c5).
% 52.10/52.27 70840 [hyper,70640,46,39295,17390] {-} midp($c7,$c3,$c4).
% 52.10/52.27 70844 [hyper,70640,46,22847,17385] {-} midp($c8,$c3,$c4).
% 52.10/52.27 71957 [hyper,70840,11] {-} midp($c7,$c4,$c3).
% 52.10/52.27 72663 [hyper,70844,11] {-} midp($c8,$c4,$c3).
% 52.10/52.27 74241 [hyper,71957,64,55044] {-} para($c4,$c2,$c3,$c2).
% 52.10/52.27 80161 [hyper,16464,43,4801] {-} cyclic($c9,$c1,$c8,$c8).
% 52.10/52.27 80164 [hyper,16464,43,255] {-} cyclic($c9,$c2,$c8,$c8).
% 52.10/52.27 81157 [hyper,66976,68,1051] {-} midp($c8,$c8,$c8).
% 52.10/52.27 81414 [hyper,81157,64,72663] {-} para($c8,$c4,$c8,$c3).
% 52.10/52.27 88933 [hyper,67469,68,5609] {-} midp($c2,$c7,$c7).
% 52.10/52.27 89205 [hyper,88933,65,19910,19911] {-} midp($c2,$c8,$c7).
% 52.10/52.27 90386 [hyper,89205,69] {-} cong($c2,$c8,$c2,$c7).
% 52.10/52.27 104498 [hyper,80161,15] {-} cyclic($c9,$c8,$c1,$c8).
% 52.10/52.27 104507 [hyper,80164,15] {-} cyclic($c9,$c8,$c2,$c8).
% 52.10/52.27 107297 [hyper,81414,46,81157,17663] {-} midp($c4,$c8,$c3).
% 52.10/52.27 107410 [hyper,107297,46,74241,1038] {-} midp($c2,$c8,$c2).
% 52.10/52.27 108361 [hyper,107410,69] {-} cong($c2,$c8,$c2,$c2).
% 52.10/52.27 119689 [hyper,104498,14] {-} cyclic($c9,$c8,$c8,$c1).
% 52.10/52.27 119699 [hyper,104507,14] {-} cyclic($c9,$c8,$c8,$c2).
% 52.10/52.27 123065 [hyper,108361,13,67470,90386] {-} cyclic($c8,$c8,$c2,$c7).
% 52.10/52.27 139445 [hyper,119699,17,119689] {-} cyclic($c8,$c8,$c2,$c1).
% 52.10/52.27 145356 [hyper,139445,17,123065] {-} cyclic($c8,$c2,$c7,$c1).
% 52.10/52.27 145357 [binary,145356.1,113.1] {-} $F.
% 52.10/52.27
% 52.10/52.27 % SZS output end Refutation
% 52.10/52.27 ------------ end of proof -------------
% 52.10/52.27
% 52.10/52.27
% 52.10/52.27 Search stopped by max_proofs option.
% 52.10/52.27
% 52.10/52.27
% 52.10/52.27 Search stopped by max_proofs option.
% 52.10/52.27
% 52.10/52.27 ============ end of search ============
% 52.10/52.27
% 52.10/52.27 That finishes the proof of the theorem.
% 52.10/52.27
% 52.10/52.27 Process 22529 finished Sat Jun 18 08:59:44 2022
%------------------------------------------------------------------------------