TSTP Solution File: GEO575+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO575+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n019.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 06:20:58 EDT 2022
% Result : Theorem 36.20s 36.42s
% Output : Refutation 36.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO575+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 18:07:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.36 ----- Otter 3.2, August 2001 -----
% 0.19/0.36 The process was started by sandbox2 on n019.cluster.edu,
% 0.19/0.36 Fri Jun 17 18:07:54 2022
% 0.19/0.36 The command was "./sos". The process ID is 29526.
% 0.19/0.36
% 0.19/0.36 set(prolog_style_variables).
% 0.19/0.36 set(auto).
% 0.19/0.36 dependent: set(auto1).
% 0.19/0.36 dependent: set(process_input).
% 0.19/0.36 dependent: clear(print_kept).
% 0.19/0.36 dependent: clear(print_new_demod).
% 0.19/0.36 dependent: clear(print_back_demod).
% 0.19/0.36 dependent: clear(print_back_sub).
% 0.19/0.36 dependent: set(control_memory).
% 0.19/0.36 dependent: assign(max_mem, 12000).
% 0.19/0.36 dependent: assign(pick_given_ratio, 4).
% 0.19/0.36 dependent: assign(stats_level, 1).
% 0.19/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.36 dependent: assign(sos_limit, 5000).
% 0.19/0.36 dependent: assign(max_weight, 60).
% 0.19/0.36 clear(print_given).
% 0.19/0.36
% 0.19/0.36 formula_list(usable).
% 0.19/0.36
% 0.19/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.19/0.36
% 0.19/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.36 clauses in usable.
% 0.19/0.36
% 0.19/0.36 dependent: set(knuth_bendix).
% 0.19/0.36 dependent: set(para_from).
% 0.19/0.36 dependent: set(para_into).
% 0.19/0.36 dependent: clear(para_from_right).
% 0.19/0.36 dependent: clear(para_into_right).
% 0.19/0.36 dependent: set(para_from_vars).
% 0.19/0.36 dependent: set(eq_units_both_ways).
% 0.19/0.36 dependent: set(dynamic_demod_all).
% 0.19/0.36 dependent: set(dynamic_demod).
% 0.19/0.36 dependent: set(order_eq).
% 0.19/0.36 dependent: set(back_demod).
% 0.19/0.36 dependent: set(lrpo).
% 0.19/0.36 dependent: set(hyper_res).
% 0.19/0.36 dependent: set(unit_deletion).
% 0.19/0.36 dependent: set(factor).
% 0.19/0.36
% 0.19/0.36 ------------> process usable:
% 0.19/0.36 Following clause subsumed by 72 during input processing: 0 [] {-} -eqangle(A,B,C,D,C,D,A,B)|perp(A,B,C,D)|para(A,B,C,D).
% 0.19/0.36
% 0.19/0.36 ------------> process sos:
% 0.19/0.36 Following clause subsumed by 167 during input processing: 0 [copy,167,flip.1] {-} A=A.
% 0.19/0.36 167 back subsumes 146.
% 0.19/0.36 167 back subsumes 145.
% 0.19/0.36 167 back subsumes 144.
% 0.19/0.36 167 back subsumes 143.
% 0.19/0.36
% 0.19/0.36 ======= end of input processing =======
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Failed to model usable list: disabling FINDER
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 -------------- Softie stats --------------
% 0.19/0.43
% 0.19/0.43 UPDATE_STOP: 300
% 0.19/0.43 SFINDER_TIME_LIMIT: 2
% 0.19/0.43 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.43 number of clauses in intial UL: 154
% 0.19/0.43 number of clauses initially in problem: 163
% 0.19/0.43 percentage of clauses intially in UL: 94
% 0.19/0.43 percentage of distinct symbols occuring in initial UL: 85
% 0.19/0.43 percent of all initial clauses that are short: 100
% 0.19/0.43 absolute distinct symbol count: 41
% 0.19/0.43 distinct predicate count: 12
% 0.19/0.43 distinct function count: 20
% 0.19/0.43 distinct constant count: 9
% 0.19/0.43
% 0.19/0.43 ---------- no more Softie stats ----------
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 =========== start of search ===========
% 7.27/7.45
% 7.27/7.45
% 7.27/7.45 Changing weight limit from 60 to 57.
% 7.27/7.45
% 7.27/7.45 Resetting weight limit to 57 after 250 givens.
% 7.27/7.45
% 8.11/8.32
% 8.11/8.32
% 8.11/8.32 Changing weight limit from 57 to 56.
% 8.11/8.32
% 8.11/8.32 Resetting weight limit to 56 after 255 givens.
% 8.11/8.32
% 10.60/10.80
% 10.60/10.80
% 10.60/10.80 Changing weight limit from 56 to 55.
% 10.60/10.80
% 10.60/10.80 Resetting weight limit to 55 after 270 givens.
% 10.60/10.80
% 12.78/13.00
% 12.78/13.00
% 12.78/13.00 Changing weight limit from 55 to 54.
% 12.78/13.00
% 12.78/13.00 Resetting weight limit to 54 after 285 givens.
% 12.78/13.00
% 13.99/14.17
% 13.99/14.17
% 13.99/14.17 Changing weight limit from 54 to 52.
% 13.99/14.17
% 13.99/14.17 Resetting weight limit to 52 after 290 givens.
% 13.99/14.17
% 15.43/15.62
% 15.43/15.62
% 15.43/15.62 Changing weight limit from 52 to 51.
% 15.43/15.62
% 15.43/15.62 Resetting weight limit to 51 after 295 givens.
% 15.43/15.62
% 17.57/17.76
% 17.57/17.76
% 17.57/17.76 Changing weight limit from 51 to 50.
% 17.57/17.76
% 17.57/17.76 Modelling stopped after 300 given clauses and 0.00 seconds
% 17.57/17.76
% 17.57/17.76
% 17.57/17.76 Resetting weight limit to 50 after 305 givens.
% 17.57/17.76
% 19.61/19.80
% 19.61/19.80
% 19.61/19.80 Changing weight limit from 50 to 49.
% 19.61/19.80
% 19.61/19.80 Resetting weight limit to 49 after 315 givens.
% 19.61/19.80
% 20.66/20.83
% 20.66/20.83
% 20.66/20.83 Changing weight limit from 49 to 45.
% 20.66/20.83
% 20.66/20.83 Resetting weight limit to 45 after 320 givens.
% 20.66/20.83
% 21.00/21.20
% 21.00/21.20
% 21.00/21.20 Changing weight limit from 45 to 31.
% 21.00/21.20
% 21.00/21.20 Resetting weight limit to 31 after 325 givens.
% 21.00/21.20
% 21.32/21.51
% 21.32/21.51
% 21.32/21.51 Changing weight limit from 31 to 30.
% 21.32/21.51
% 21.32/21.51 Resetting weight limit to 30 after 335 givens.
% 21.32/21.51
% 22.68/22.85
% 22.68/22.85
% 22.68/22.85 Changing weight limit from 30 to 29.
% 22.68/22.85
% 22.68/22.85 Resetting weight limit to 29 after 415 givens.
% 22.68/22.85
% 23.19/23.40
% 23.19/23.40
% 23.19/23.40 Changing weight limit from 29 to 26.
% 23.19/23.40
% 23.19/23.40 Resetting weight limit to 26 after 465 givens.
% 23.19/23.40
% 23.19/23.41
% 23.19/23.41
% 23.19/23.41 Changing weight limit from 26 to 18.
% 23.19/23.41
% 23.19/23.41 Resetting weight limit to 18 after 475 givens.
% 23.19/23.41
% 23.42/23.59
% 23.42/23.59
% 23.42/23.59 Changing weight limit from 18 to 17.
% 23.42/23.59
% 23.42/23.59 Resetting weight limit to 17 after 590 givens.
% 23.42/23.59
% 23.42/23.60
% 23.42/23.60
% 23.42/23.60 Changing weight limit from 17 to 14.
% 23.42/23.60
% 23.42/23.60 Resetting weight limit to 14 after 595 givens.
% 23.42/23.60
% 23.81/24.02
% 23.81/24.02
% 23.81/24.02 Changing weight limit from 14 to 13.
% 23.81/24.02
% 23.81/24.02 Resetting weight limit to 13 after 735 givens.
% 23.81/24.02
% 23.90/24.06
% 23.90/24.06
% 23.90/24.06 Changing weight limit from 13 to 12.
% 23.90/24.06
% 23.90/24.06 Resetting weight limit to 12 after 740 givens.
% 23.90/24.06
% 23.90/24.08
% 23.90/24.08
% 23.90/24.08 Changing weight limit from 12 to 10.
% 23.90/24.08
% 23.90/24.08 Resetting weight limit to 10 after 745 givens.
% 23.90/24.08
% 25.34/25.51
% 25.34/25.51
% 25.34/25.51 Changing weight limit from 10 to 9.
% 25.34/25.51
% 25.34/25.51 Resetting weight limit to 9 after 1395 givens.
% 25.34/25.51
% 32.85/33.05
% 32.85/33.05
% 32.85/33.05 Changing weight limit from 9 to 8.
% 32.85/33.05
% 32.85/33.05 Resetting weight limit to 8 after 6115 givens.
% 32.85/33.05
% 34.15/34.34
% 34.15/34.34
% 34.15/34.34 Changing weight limit from 8 to 9.
% 34.15/34.34
% 34.15/34.34 Resetting weight limit to 9 after 6175 givens.
% 34.15/34.34
% 35.27/35.52
% 35.27/35.52
% 35.27/35.52 Changing weight limit from 9 to 8.
% 35.27/35.52
% 35.27/35.52 Resetting weight limit to 8 after 6580 givens.
% 35.27/35.52
% 36.20/36.42
% 36.20/36.42 -- HEY sandbox2, WE HAVE A PROOF!! --
% 36.20/36.42
% 36.20/36.42 ----> UNIT CONFLICT at 35.46 sec ----> 115261 [binary,115260.1,113.1] {-} $F.
% 36.20/36.42
% 36.20/36.42 Length of proof is 114. Level of proof is 19.
% 36.20/36.42
% 36.20/36.42 ---------------- PROOF ----------------
% 36.20/36.42 % SZS status Theorem
% 36.20/36.42 % SZS output start Refutation
% 36.20/36.42
% 36.20/36.42 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 36.20/36.42 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 36.20/36.42 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 36.20/36.42 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 36.20/36.42 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 36.20/36.42 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 36.20/36.42 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 36.20/36.42 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 36.20/36.42 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 36.20/36.42 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 36.20/36.42 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 36.20/36.42 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 36.20/36.42 16 [] {+} -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 36.20/36.42 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 36.20/36.42 19 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(C,D,A,B,G,H,E,F).
% 36.20/36.42 39 [] {+} -eqangle(A,B,C,D,E,F,C,D)|para(A,B,E,F).
% 36.20/36.42 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 36.20/36.42 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 36.20/36.42 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).
% 36.20/36.42 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 36.20/36.42 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 36.20/36.42 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 36.20/36.42 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 36.20/36.42 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 36.20/36.42 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 36.20/36.42 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 36.20/36.42 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 36.20/36.42 99 [] {+} -circle(A,B,C,D)|perp($f12(B,C,D,A),B,B,A).
% 36.20/36.42 113 [] {+} -cong($c8,$c3,$c8,$c4).
% 36.20/36.42 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 36.20/36.42 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 36.20/36.42 123 [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).
% 36.20/36.42 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 36.20/36.42 159 [] {-} circle($c6,$c9,$c8,$c7).
% 36.20/36.42 160 [] {-} perp($c9,$c8,$c7,$c5).
% 36.20/36.42 162 [] {-} perp($c8,$c7,$c9,$c5).
% 36.20/36.42 164 [] {-} coll($c4,$c7,$c5).
% 36.20/36.42 166 [] {-} coll($c3,$c9,$c5).
% 36.20/36.42 168 [hyper,159,99] {-} perp($f12($c9,$c8,$c7,$c6),$c9,$c9,$c6).
% 36.20/36.42 185 [hyper,164,114] {-} coll($c5,$c5,$c4).
% 36.20/36.42 186 [hyper,164,2] {-} coll($c7,$c4,$c5).
% 36.20/36.42 201 [hyper,166,2] {-} coll($c9,$c3,$c5).
% 36.20/36.42 202 [hyper,166,1] {-} coll($c3,$c5,$c9).
% 36.20/36.42 215 [hyper,185,114] {-} coll($c4,$c4,$c5).
% 36.20/36.42 229 [hyper,160,8] {-} perp($c7,$c5,$c9,$c8).
% 36.20/36.42 247 [hyper,186,114] {-} coll($c5,$c5,$c7).
% 36.20/36.42 291 [hyper,201,114] {-} coll($c5,$c5,$c9).
% 36.20/36.42 323 [hyper,202,114] {-} coll($c9,$c9,$c3).
% 36.20/36.42 337 [hyper,215,1] {-} coll($c4,$c5,$c4).
% 36.20/36.42 388 [hyper,162,8] {-} perp($c9,$c5,$c8,$c7).
% 36.20/36.42 389 [hyper,162,7] {-} perp($c8,$c7,$c5,$c9).
% 36.20/36.42 515 [hyper,291,114] {-} coll($c9,$c9,$c5).
% 36.20/36.42 516 [hyper,291,3,247] {-} coll($c7,$c9,$c5).
% 36.20/36.42 517 [hyper,291,3,185] {-} coll($c4,$c9,$c5).
% 36.20/36.42 564 [hyper,323,1] {-} coll($c9,$c3,$c9).
% 36.20/36.42 606 [hyper,168,8] {-} perp($c9,$c6,$f12($c9,$c8,$c7,$c6),$c9).
% 36.20/36.42 1130 [hyper,515,1] {-} coll($c9,$c5,$c9).
% 36.20/36.42 1143 [hyper,516,1] {-} coll($c7,$c5,$c9).
% 36.20/36.42 1256 [hyper,517,1] {-} coll($c4,$c5,$c9).
% 36.20/36.42 1411 [hyper,564,114] {-} coll($c9,$c9,$c9).
% 36.20/36.42 2258 [hyper,1143,114] {-} coll($c9,$c9,$c7).
% 36.20/36.42 2319 [hyper,1256,114] {-} coll($c9,$c9,$c4).
% 36.20/36.42 3518 [hyper,229,9,160] {-} para($c9,$c8,$c9,$c8).
% 36.20/36.42 3641 [hyper,388,9,162] {-} para($c9,$c5,$c9,$c5).
% 36.20/36.42 3717 [hyper,3518,67] {-} coll($c9,$c8,$c8).
% 36.20/36.42 3718 [hyper,3518,40] {-} eqangle($c9,$c8,A,B,$c9,$c8,A,B).
% 36.20/36.42 3719 [hyper,3518,4] {-} para($c9,$c8,$c8,$c9).
% 36.20/36.42 3736 [hyper,3717,114] {-} coll($c8,$c8,$c9).
% 36.20/36.42 3738 [hyper,3717,2] {-} coll($c8,$c9,$c8).
% 36.20/36.42 3751 [hyper,3736,114] {-} coll($c9,$c9,$c8).
% 36.20/36.42 3826 [hyper,3751,3,2319] {-} coll($c8,$c4,$c9).
% 36.20/36.42 3828 [hyper,3751,3,1411] {-} coll($c8,$c9,$c9).
% 36.20/36.42 3830 [hyper,3751,3,323] {-} coll($c8,$c3,$c9).
% 36.20/36.42 3975 [hyper,3826,1] {-} coll($c8,$c9,$c4).
% 36.20/36.42 4089 [hyper,3830,1] {-} coll($c8,$c9,$c3).
% 36.20/36.42 4326 [hyper,3975,3,3738] {-} coll($c4,$c8,$c8).
% 36.20/36.42 4383 [hyper,4089,3,3738] {-} coll($c3,$c8,$c8).
% 36.20/36.42 7125 [hyper,3719,5] {-} para($c8,$c9,$c9,$c8).
% 36.20/36.42 12663 [hyper,606,9,168] {-} para($c9,$c6,$c9,$c6).
% 36.20/36.42 12665 [hyper,12663,67] {-} coll($c9,$c6,$c6).
% 36.20/36.42 12668 [hyper,12665,114] {-} coll($c6,$c6,$c9).
% 36.20/36.42 12670 [hyper,12665,2] {-} coll($c6,$c9,$c6).
% 36.20/36.42 12671 [hyper,12668,114] {-} coll($c9,$c9,$c6).
% 36.20/36.42 12718 [hyper,12671,3,2258] {-} coll($c6,$c7,$c9).
% 36.20/36.42 12720 [hyper,12671,3,515] {-} coll($c6,$c5,$c9).
% 36.20/36.42 12837 [hyper,12718,1] {-} coll($c6,$c9,$c7).
% 36.20/36.42 12891 [hyper,12720,1] {-} coll($c6,$c9,$c5).
% 36.20/36.42 13111 [hyper,3718,43,3751] {-} cyclic($c8,$c8,$c9,$c9).
% 36.20/36.42 13112 [hyper,3718,43,2319] {-} cyclic($c8,$c4,$c9,$c9).
% 36.20/36.42 13114 [hyper,3718,43,1411] {-} cyclic($c8,$c9,$c9,$c9).
% 36.20/36.42 13116 [hyper,3718,43,323] {-} cyclic($c8,$c3,$c9,$c9).
% 36.20/36.42 13118 [hyper,3718,19] {-} eqangle(A,B,$c9,$c8,A,B,$c9,$c8).
% 36.20/36.42 13231 [hyper,12837,54,159] {-} perp($c9,$c8,$c8,$c7).
% 36.20/36.42 13334 [hyper,12891,3,12670] {-} coll($c6,$c5,$c6).
% 36.20/36.42 14709 [hyper,13111,15] {-} cyclic($c8,$c9,$c8,$c9).
% 36.20/36.42 14711 [hyper,13112,16] {-} cyclic($c4,$c8,$c9,$c9).
% 36.20/36.42 14712 [hyper,13112,15] {-} cyclic($c8,$c9,$c4,$c9).
% 36.20/36.42 14725 [hyper,13116,16] {-} cyclic($c3,$c8,$c9,$c9).
% 36.20/36.42 14726 [hyper,13116,15] {-} cyclic($c8,$c9,$c3,$c9).
% 36.20/36.42 14828 [hyper,13231,10,7125] {-} perp($c8,$c9,$c8,$c7).
% 36.20/36.42 14832 [hyper,13231,9,162] {-} para($c9,$c8,$c9,$c5).
% 36.20/36.42 14952 [hyper,14709,14] {-} cyclic($c8,$c9,$c9,$c8).
% 36.20/36.42 14955 [hyper,14711,15] {-} cyclic($c4,$c9,$c8,$c9).
% 36.20/36.42 14961 [hyper,14712,14] {-} cyclic($c8,$c9,$c9,$c4).
% 36.20/36.42 14982 [hyper,14725,15] {-} cyclic($c3,$c9,$c8,$c9).
% 36.20/36.42 14985 [hyper,14726,14] {-} cyclic($c8,$c9,$c9,$c3).
% 36.20/36.42 15006 [hyper,14828,9,389] {-} para($c8,$c9,$c5,$c9).
% 36.20/36.42 15641 [hyper,14832,5] {-} para($c9,$c5,$c9,$c8).
% 36.20/36.42 15792 [hyper,14952,123,13114,3718] {-} cong($c8,$c9,$c8,$c9).
% 36.20/36.42 15802 [hyper,14955,16] {-} cyclic($c9,$c4,$c8,$c9).
% 36.20/36.42 15822 [hyper,14961,120] {-} cyclic($c9,$c9,$c4,$c4).
% 36.20/36.42 15827 [hyper,14961,17,14952] {-} cyclic($c9,$c9,$c4,$c8).
% 36.20/36.42 15890 [hyper,14982,16] {-} cyclic($c9,$c3,$c8,$c9).
% 36.20/36.42 15894 [hyper,14985,120] {-} cyclic($c9,$c9,$c3,$c3).
% 36.20/36.42 15905 [hyper,14985,17,14952] {-} cyclic($c9,$c9,$c3,$c8).
% 36.20/36.42 17042 [hyper,15792,68,3828] {-} midp($c8,$c9,$c9).
% 36.20/36.42 17048 [hyper,17042,129,3641] {-} midp($c8,$c5,$c5).
% 36.20/36.42 17050 [hyper,17042,129,3518] {-} midp($c8,$c8,$c8).
% 36.20/36.42 17053 [hyper,17042,65,15641,14832] {-} midp($c8,$c5,$c8).
% 36.20/36.42 17094 [hyper,17048,46,15006,1130] {-} midp($c9,$c5,$c9).
% 36.20/36.42 17153 [hyper,17053,64,17050] {-} para($c8,$c5,$c8,$c8).
% 36.20/36.42 17161 [hyper,17053,45,17048] {-} para($c8,$c8,$c8,$c5).
% 36.20/36.42 17374 [hyper,17094,46,12663,13334] {-} midp($c6,$c5,$c6).
% 36.20/36.42 18586 [hyper,15827,120] {-} cyclic($c9,$c4,$c8,$c8).
% 36.20/36.42 18589 [hyper,15827,17,15822] {-} cyclic($c9,$c4,$c8,$c4).
% 36.20/36.42 18986 [hyper,15905,120] {-} cyclic($c9,$c3,$c8,$c8).
% 36.20/36.42 18995 [hyper,15905,17,15894] {-} cyclic($c9,$c3,$c8,$c3).
% 36.20/36.42 26346 [hyper,18586,17,15802] {-} cyclic($c4,$c8,$c9,$c8).
% 36.20/36.42 26360 [hyper,18589,17,15802] {-} cyclic($c4,$c8,$c9,$c4).
% 36.20/36.42 28862 [hyper,18986,17,15890] {-} cyclic($c3,$c8,$c9,$c8).
% 36.20/36.42 28959 [hyper,18995,17,15890] {-} cyclic($c3,$c8,$c9,$c3).
% 36.20/36.42 60201 [hyper,13118,44,28959,28862,14725] {-} cong($c3,$c8,$c3,$c8).
% 36.20/36.42 60202 [hyper,13118,44,26360,26346,14711] {-} cong($c4,$c8,$c4,$c8).
% 36.20/36.42 60204 [hyper,13118,39] {-} para(A,B,A,B).
% 36.20/36.42 76701 [hyper,60201,68,4383] {-} midp($c3,$c8,$c8).
% 36.20/36.42 77015 [hyper,76701,65,17161,17153] {-} midp($c3,$c8,$c5).
% 36.20/36.42 85217 [hyper,60202,68,4326] {-} midp($c4,$c8,$c8).
% 36.20/36.42 85605 [hyper,85217,45,77015] {-} para($c3,$c4,$c5,$c8).
% 36.20/36.42 89190 [hyper,60204,67] {-} coll(A,B,B).
% 36.20/36.42 89200 [hyper,60204,46,17374,337] {-} midp($c4,$c5,$c4).
% 36.20/36.42 89201 [hyper,60204,4] {-} para(A,B,B,A).
% 36.20/36.42 89316 [hyper,89190,114] {-} coll(A,A,B).
% 36.20/36.42 90404 [hyper,89316,3,89316] {-} coll(A,B,C).
% 36.20/36.42 99354 [hyper,90404,46,89200,60204] {-} midp(A,$c5,A).
% 36.20/36.42 100526 [hyper,99354,11] {-} midp(A,A,$c5).
% 36.20/36.42 114504 [hyper,85605,46,100526,90404] {-} midp($c4,$c3,$c8).
% 36.20/36.42 115103 [hyper,89201,46,114504,90404] {-} midp($c8,$c3,$c4).
% 36.20/36.42 115260 [hyper,115103,69] {-} cong($c8,$c3,$c8,$c4).
% 36.20/36.42 115261 [binary,115260.1,113.1] {-} $F.
% 36.20/36.42
% 36.20/36.42 % SZS output end Refutation
% 36.20/36.42 ------------ end of proof -------------
% 36.20/36.42
% 36.20/36.42
% 36.20/36.42 Search stopped by max_proofs option.
% 36.20/36.42
% 36.20/36.42
% 36.20/36.42 Search stopped by max_proofs option.
% 36.20/36.42
% 36.20/36.42 ============ end of search ============
% 36.20/36.42
% 36.20/36.42 That finishes the proof of the theorem.
% 36.20/36.42
% 36.20/36.42 Process 29526 finished Fri Jun 17 18:08:30 2022
%------------------------------------------------------------------------------