TSTP Solution File: GEO589+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO589+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n018.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 06:21:02 EDT 2022
% Result : Theorem 33.25s 33.51s
% Output : Refutation 33.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO589+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n018.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 10:42:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.38 ----- Otter 3.2, August 2001 -----
% 0.13/0.38 The process was started by sandbox2 on n018.cluster.edu,
% 0.13/0.38 Sat Jun 18 10:42:18 2022
% 0.13/0.38 The command was "./sos". The process ID is 24820.
% 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 164 during input processing: 0 [copy,164,flip.1] {-} A=A.
% 0.13/0.38 164 back subsumes 146.
% 0.13/0.38 164 back subsumes 145.
% 0.13/0.38 164 back subsumes 144.
% 0.13/0.38 164 back subsumes 143.
% 0.13/0.38
% 0.13/0.38 ======= 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: 160
% 0.20/0.44 percentage of clauses intially in UL: 96
% 0.20/0.44 percentage of distinct symbols occuring in initial UL: 90
% 0.20/0.44 percent of all initial clauses that are short: 100
% 0.20/0.44 absolute distinct symbol count: 40
% 0.20/0.44 distinct predicate count: 12
% 0.20/0.44 distinct function count: 20
% 0.20/0.44 distinct constant count: 8
% 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 ===========
% 6.52/6.77
% 6.52/6.77
% 6.52/6.77 Changing weight limit from 60 to 57.
% 6.52/6.77
% 6.52/6.77 Resetting weight limit to 57 after 215 givens.
% 6.52/6.77
% 7.14/7.33
% 7.14/7.33
% 7.14/7.33 Changing weight limit from 57 to 56.
% 7.14/7.33
% 7.14/7.33 Resetting weight limit to 56 after 220 givens.
% 7.14/7.33
% 9.13/9.33
% 9.13/9.33
% 9.13/9.33 Changing weight limit from 56 to 55.
% 9.13/9.33
% 9.13/9.33 Resetting weight limit to 55 after 230 givens.
% 9.13/9.33
% 10.90/11.09
% 10.90/11.09
% 10.90/11.09 Changing weight limit from 55 to 54.
% 10.90/11.09
% 10.90/11.09 Resetting weight limit to 54 after 245 givens.
% 10.90/11.09
% 11.45/11.62
% 11.45/11.62
% 11.45/11.62 Changing weight limit from 54 to 52.
% 11.45/11.62
% 11.45/11.62 Resetting weight limit to 52 after 255 givens.
% 11.45/11.62
% 12.73/12.93
% 12.73/12.93
% 12.73/12.93 Changing weight limit from 52 to 51.
% 12.73/12.93
% 12.73/12.93 Resetting weight limit to 51 after 270 givens.
% 12.73/12.93
% 15.98/16.16
% 15.98/16.16
% 15.98/16.16 Changing weight limit from 51 to 50.
% 15.98/16.16
% 15.98/16.16 Modelling stopped after 300 given clauses and 0.00 seconds
% 15.98/16.16
% 15.98/16.16
% 15.98/16.16 Resetting weight limit to 50 after 300 givens.
% 15.98/16.16
% 17.86/18.05
% 17.86/18.05
% 17.86/18.05 Changing weight limit from 50 to 49.
% 17.86/18.05
% 17.86/18.05 Resetting weight limit to 49 after 310 givens.
% 17.86/18.05
% 18.97/19.19
% 18.97/19.19
% 18.97/19.19 Changing weight limit from 49 to 45.
% 18.97/19.19
% 18.97/19.19 Resetting weight limit to 45 after 315 givens.
% 18.97/19.19
% 19.53/19.73
% 19.53/19.73
% 19.53/19.73 Changing weight limit from 45 to 31.
% 19.53/19.73
% 19.53/19.73 Resetting weight limit to 31 after 320 givens.
% 19.53/19.73
% 19.96/20.16
% 19.96/20.16
% 19.96/20.16 Changing weight limit from 31 to 30.
% 19.96/20.16
% 19.96/20.16 Resetting weight limit to 30 after 330 givens.
% 19.96/20.16
% 21.35/21.53
% 21.35/21.53
% 21.35/21.53 Changing weight limit from 30 to 29.
% 21.35/21.53
% 21.35/21.53 Resetting weight limit to 29 after 515 givens.
% 21.35/21.53
% 21.89/22.07
% 21.89/22.07
% 21.89/22.07 Changing weight limit from 29 to 26.
% 21.89/22.07
% 21.89/22.07 Resetting weight limit to 26 after 620 givens.
% 21.89/22.07
% 21.93/22.11
% 21.93/22.11
% 21.93/22.11 Changing weight limit from 26 to 21.
% 21.93/22.11
% 21.93/22.11 Resetting weight limit to 21 after 640 givens.
% 21.93/22.11
% 21.93/22.12
% 21.93/22.12
% 21.93/22.12 Changing weight limit from 21 to 18.
% 21.93/22.12
% 21.93/22.12 Resetting weight limit to 18 after 645 givens.
% 21.93/22.12
% 22.18/22.38
% 22.18/22.38
% 22.18/22.38 Changing weight limit from 18 to 17.
% 22.18/22.38
% 22.18/22.38 Resetting weight limit to 17 after 830 givens.
% 22.18/22.38
% 22.22/22.40
% 22.22/22.40
% 22.22/22.40 Changing weight limit from 17 to 16.
% 22.22/22.40
% 22.22/22.40 Resetting weight limit to 16 after 835 givens.
% 22.22/22.40
% 22.22/22.41
% 22.22/22.41
% 22.22/22.41 Changing weight limit from 16 to 14.
% 22.22/22.41
% 22.22/22.41 Resetting weight limit to 14 after 840 givens.
% 22.22/22.41
% 22.61/22.83
% 22.61/22.83
% 22.61/22.83 Changing weight limit from 14 to 12.
% 22.61/22.83
% 22.61/22.83 Resetting weight limit to 12 after 1020 givens.
% 22.61/22.83
% 22.67/22.86
% 22.67/22.86
% 22.67/22.86 Changing weight limit from 12 to 11.
% 22.67/22.86
% 22.67/22.86 Resetting weight limit to 11 after 1025 givens.
% 22.67/22.86
% 22.72/22.93
% 22.72/22.93
% 22.72/22.93 Changing weight limit from 11 to 10.
% 22.72/22.93
% 22.72/22.93 Resetting weight limit to 10 after 1035 givens.
% 22.72/22.93
% 24.34/24.53
% 24.34/24.53
% 24.34/24.53 Changing weight limit from 10 to 9.
% 24.34/24.53
% 24.34/24.53 Resetting weight limit to 9 after 1930 givens.
% 24.34/24.53
% 33.25/33.51
% 33.25/33.51 -- HEY sandbox2, WE HAVE A PROOF!! --
% 33.25/33.51
% 33.25/33.51 ----> UNIT CONFLICT at 32.69 sec ----> 82324 [binary,82323.1,113.1] {-} $F.
% 33.25/33.51
% 33.25/33.51 Length of proof is 122. Level of proof is 23.
% 33.25/33.51
% 33.25/33.51 ---------------- PROOF ----------------
% 33.25/33.51 % SZS status Theorem
% 33.25/33.51 % SZS output start Refutation
% 33.25/33.51
% 33.25/33.51 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 33.25/33.51 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 33.25/33.51 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 33.25/33.51 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 33.25/33.51 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 33.25/33.51 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 33.25/33.51 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 33.25/33.51 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 33.25/33.51 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 33.25/33.51 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 33.25/33.51 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 33.25/33.51 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 33.25/33.51 23 [] {+} -cong(A,B,C,D)|cong(A,B,D,C).
% 33.25/33.51 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 33.25/33.51 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 33.25/33.51 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 33.25/33.51 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).
% 33.25/33.51 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 33.25/33.51 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 33.25/33.51 56 [] {+} -midp(A,B,C)| -perp(D,A,B,C)|cong(D,B,D,C).
% 33.25/33.51 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 33.25/33.51 58 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)| -cyclic(A,C,B,D)|perp(B,A,A,D).
% 33.25/33.51 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 33.25/33.51 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 33.25/33.51 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 33.25/33.51 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 33.25/33.51 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 33.25/33.51 99 [] {+} -circle(A,B,C,D)|perp($f12(B,C,D,A),B,B,A).
% 33.25/33.51 113 [] {+} -para($c7,$c3,$c8,$c6).
% 33.25/33.51 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 33.25/33.51 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 33.25/33.51 123 [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).
% 33.25/33.51 125 [factor,57.1.2] {+} -cong(A,B,C,B)|perp(A,C,B,B).
% 33.25/33.51 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 33.25/33.51 159 [] {-} circle($c5,$c8,$c7,$c6).
% 33.25/33.51 160 [] {-} perp($c8,$c6,$c7,$c4).
% 33.25/33.51 163 [] {-} coll($c3,$c4,$c5).
% 33.25/33.51 165 [hyper,159,99] {-} perp($f12($c8,$c7,$c6,$c5),$c8,$c8,$c5).
% 33.25/33.51 182 [hyper,163,114] {-} coll($c5,$c5,$c3).
% 33.25/33.51 183 [hyper,163,2] {-} coll($c4,$c3,$c5).
% 33.25/33.51 184 [hyper,163,1] {-} coll($c3,$c5,$c4).
% 33.25/33.51 211 [hyper,183,114] {-} coll($c5,$c5,$c4).
% 33.25/33.51 225 [hyper,160,8] {-} perp($c7,$c4,$c8,$c6).
% 33.25/33.51 243 [hyper,184,114] {-} coll($c4,$c4,$c3).
% 33.25/33.51 284 [hyper,211,114] {-} coll($c4,$c4,$c5).
% 33.25/33.51 412 [hyper,284,1] {-} coll($c4,$c5,$c4).
% 33.25/33.51 449 [hyper,165,8] {-} perp($c8,$c5,$f12($c8,$c7,$c6,$c5),$c8).
% 33.25/33.51 936 [hyper,225,9,160] {-} para($c8,$c6,$c8,$c6).
% 33.25/33.51 937 [hyper,225,9,160] {-} para($c7,$c4,$c7,$c4).
% 33.25/33.51 973 [hyper,936,67] {-} coll($c8,$c6,$c6).
% 33.25/33.51 974 [hyper,936,40] {-} eqangle($c8,$c6,A,B,$c8,$c6,A,B).
% 33.25/33.51 975 [hyper,936,4] {-} para($c8,$c6,$c6,$c8).
% 33.25/33.51 992 [hyper,973,114] {-} coll($c6,$c6,$c8).
% 33.25/33.51 1106 [hyper,992,114] {-} coll($c8,$c8,$c6).
% 33.25/33.51 1132 [hyper,1106,1] {-} coll($c8,$c6,$c8).
% 33.25/33.51 1237 [hyper,1132,114] {-} coll($c8,$c8,$c8).
% 33.25/33.51 1238 [hyper,1132,3,973] {-} coll($c6,$c8,$c8).
% 33.25/33.51 1285 [hyper,937,67] {-} coll($c7,$c4,$c4).
% 33.25/33.51 1286 [hyper,937,40] {-} eqangle($c7,$c4,A,B,$c7,$c4,A,B).
% 33.25/33.51 1383 [hyper,1285,114] {-} coll($c4,$c4,$c7).
% 33.25/33.51 1397 [hyper,1383,114] {-} coll($c7,$c7,$c4).
% 33.25/33.51 1399 [hyper,1383,3,243] {-} coll($c3,$c7,$c4).
% 33.25/33.51 1400 [hyper,1383,3,284] {-} coll($c7,$c5,$c4).
% 33.25/33.51 1426 [hyper,1397,1] {-} coll($c7,$c4,$c7).
% 33.25/33.51 1534 [hyper,1399,1] {-} coll($c3,$c4,$c7).
% 33.25/33.51 1547 [hyper,1400,1] {-} coll($c7,$c4,$c5).
% 33.25/33.51 1688 [hyper,1534,114] {-} coll($c7,$c7,$c3).
% 33.25/33.51 1707 [hyper,1547,114] {-} coll($c5,$c5,$c7).
% 33.25/33.51 1708 [hyper,1547,3,1426] {-} coll($c7,$c5,$c7).
% 33.25/33.51 3048 [hyper,449,9,165] {-} para($c8,$c5,$c8,$c5).
% 33.25/33.51 3082 [hyper,3048,67] {-} coll($c8,$c5,$c5).
% 33.25/33.51 3157 [hyper,3082,114] {-} coll($c5,$c5,$c8).
% 33.25/33.51 3172 [hyper,3157,114] {-} coll($c8,$c8,$c5).
% 33.25/33.51 3179 [hyper,3157,3,1707] {-} coll($c7,$c8,$c5).
% 33.25/33.51 3180 [hyper,3157,3,211] {-} coll($c4,$c8,$c5).
% 33.25/33.51 3181 [hyper,3157,3,182] {-} coll($c3,$c8,$c5).
% 33.25/33.51 3222 [hyper,3172,3,1106] {-} coll($c5,$c6,$c8).
% 33.25/33.51 3295 [hyper,3179,1] {-} coll($c7,$c5,$c8).
% 33.25/33.51 3310 [hyper,3180,1] {-} coll($c4,$c5,$c8).
% 33.25/33.51 3325 [hyper,3181,1] {-} coll($c3,$c5,$c8).
% 33.25/33.51 3541 [hyper,3222,1] {-} coll($c5,$c8,$c6).
% 33.25/33.51 3554 [hyper,3295,114] {-} coll($c8,$c8,$c7).
% 33.25/33.51 3555 [hyper,3295,3,1708] {-} coll($c7,$c8,$c7).
% 33.25/33.51 3575 [hyper,3310,114] {-} coll($c8,$c8,$c4).
% 33.25/33.51 3577 [hyper,3310,3,412] {-} coll($c4,$c8,$c4).
% 33.25/33.51 3644 [hyper,3325,114] {-} coll($c8,$c8,$c3).
% 33.25/33.51 3814 [hyper,3541,54,159] {-} perp($c8,$c7,$c7,$c6).
% 33.25/33.51 3829 [hyper,3554,3,1106] {-} coll($c6,$c7,$c8).
% 33.25/33.51 3830 [hyper,3554,3,1106] {-} coll($c7,$c6,$c8).
% 33.25/33.51 4050 [hyper,3575,3,1106] {-} coll($c4,$c6,$c8).
% 33.25/33.51 4379 [hyper,3644,3,1106] {-} coll($c3,$c6,$c8).
% 33.25/33.51 5297 [hyper,3829,1] {-} coll($c6,$c8,$c7).
% 33.25/33.51 5322 [hyper,3830,1] {-} coll($c7,$c8,$c6).
% 33.25/33.51 5426 [hyper,4050,1] {-} coll($c4,$c8,$c6).
% 33.25/33.51 5530 [hyper,4379,1] {-} coll($c3,$c8,$c6).
% 33.25/33.51 5609 [hyper,5297,114] {-} coll($c7,$c7,$c6).
% 33.25/33.51 5611 [hyper,5297,3,1238] {-} coll($c8,$c7,$c6).
% 33.25/33.51 5664 [hyper,5322,3,3555] {-} coll($c7,$c6,$c7).
% 33.25/33.51 5817 [hyper,5426,3,3577] {-} coll($c4,$c6,$c4).
% 33.25/33.51 5937 [hyper,5530,114] {-} coll($c6,$c6,$c3).
% 33.25/33.51 7073 [hyper,3814,8] {-} perp($c7,$c6,$c8,$c7).
% 33.25/33.51 7074 [hyper,3814,7] {-} perp($c8,$c7,$c6,$c7).
% 33.25/33.51 7188 [hyper,7073,9,3814] {-} para($c8,$c7,$c8,$c7).
% 33.25/33.51 7207 [hyper,7074,9,7073] {-} para($c7,$c6,$c6,$c7).
% 33.25/33.51 7208 [hyper,7074,8] {-} perp($c6,$c7,$c8,$c7).
% 33.25/33.51 7611 [hyper,7207,5] {-} para($c6,$c7,$c7,$c6).
% 33.25/33.51 7636 [hyper,7208,9,7074] {-} para($c6,$c7,$c6,$c7).
% 33.25/33.51 12629 [hyper,974,43,3644] {-} cyclic($c6,$c3,$c8,$c8).
% 33.25/33.51 12630 [hyper,974,43,3575] {-} cyclic($c6,$c4,$c8,$c8).
% 33.25/33.51 12631 [hyper,974,43,3554] {-} cyclic($c6,$c7,$c8,$c8).
% 33.25/33.51 12633 [hyper,974,43,1237] {-} cyclic($c6,$c8,$c8,$c8).
% 33.25/33.51 12634 [hyper,974,43,1106] {-} cyclic($c6,$c6,$c8,$c8).
% 33.25/33.51 12639 [hyper,12629,15] {-} cyclic($c6,$c8,$c3,$c8).
% 33.25/33.51 12642 [hyper,12630,15] {-} cyclic($c6,$c8,$c4,$c8).
% 33.25/33.51 12645 [hyper,12631,15] {-} cyclic($c6,$c8,$c7,$c8).
% 33.25/33.51 12666 [hyper,12634,15] {-} cyclic($c6,$c8,$c6,$c8).
% 33.25/33.51 12687 [hyper,12639,14] {-} cyclic($c6,$c8,$c8,$c3).
% 33.25/33.51 12693 [hyper,12642,14] {-} cyclic($c6,$c8,$c8,$c4).
% 33.25/33.51 12720 [hyper,12645,14] {-} cyclic($c6,$c8,$c8,$c7).
% 33.25/33.51 12749 [hyper,12666,14] {-} cyclic($c6,$c8,$c8,$c6).
% 33.25/33.51 12796 [hyper,12693,120] {-} cyclic($c8,$c8,$c4,$c4).
% 33.25/33.51 12800 [hyper,12693,17,12687] {-} cyclic($c8,$c8,$c4,$c3).
% 33.25/33.51 12828 [hyper,12720,17,12693] {-} cyclic($c8,$c8,$c4,$c7).
% 33.25/33.51 12873 [hyper,12749,123,12633,974] {-} cong($c6,$c8,$c6,$c8).
% 33.25/33.51 12905 [hyper,1286,43,1688] {-} cyclic($c4,$c3,$c7,$c7).
% 33.25/33.51 12928 [hyper,12796,120] {-} cyclic($c8,$c4,$c4,$c4).
% 33.25/33.51 12942 [hyper,12800,120] {-} cyclic($c8,$c4,$c3,$c3).
% 33.25/33.51 12944 [hyper,12800,17,12796] {-} cyclic($c8,$c4,$c4,$c3).
% 33.25/33.51 12946 [hyper,12800,17,12796] {-} cyclic($c8,$c4,$c3,$c4).
% 33.25/33.51 12967 [hyper,12828,17,12800] {-} cyclic($c8,$c4,$c3,$c7).
% 33.25/33.51 13146 [hyper,12873,68,1238] {-} midp($c6,$c8,$c8).
% 33.25/33.51 13155 [hyper,13146,129,7188] {-} midp($c6,$c7,$c7).
% 33.25/33.51 13157 [hyper,13146,129,936] {-} midp($c6,$c6,$c6).
% 33.25/33.51 13193 [hyper,13155,46,7611,5609] {-} midp($c7,$c7,$c6).
% 33.25/33.51 13247 [hyper,13157,46,7636,5664] {-} midp($c7,$c6,$c7).
% 33.25/33.51 13437 [hyper,13193,56,3814] {-} cong($c8,$c7,$c8,$c6).
% 33.25/33.51 13516 [hyper,13247,46,937,5817] {-} midp($c4,$c6,$c4).
% 33.25/33.51 13731 [hyper,13516,69] {-} cong($c4,$c6,$c4,$c4).
% 33.25/33.51 13732 [hyper,13516,11] {-} midp($c4,$c4,$c6).
% 33.25/33.51 13956 [hyper,13732,69] {-} cong($c4,$c4,$c4,$c6).
% 33.25/33.51 14308 [hyper,12944,17,12928] {-} cyclic($c4,$c4,$c4,$c3).
% 33.25/33.51 14374 [hyper,12967,17,12946] {-} cyclic($c4,$c3,$c7,$c4).
% 33.25/33.51 14375 [hyper,12967,17,12942] {-} cyclic($c4,$c3,$c7,$c3).
% 33.25/33.51 17329 [hyper,13437,68,5611] {-} midp($c8,$c7,$c6).
% 33.25/33.51 17391 [hyper,17329,46,975,3829] {-} midp($c6,$c7,$c8).
% 33.25/33.51 17894 [hyper,13956,25,13731] {-} cong($c4,$c4,$c4,$c4).
% 33.25/33.51 17895 [hyper,13956,23] {-} cong($c4,$c4,$c6,$c4).
% 33.25/33.51 19209 [hyper,14375,44,14374,12905,1286] {-} cong($c4,$c3,$c4,$c3).
% 33.25/33.51 30127 [hyper,17895,125] {-} perp($c4,$c6,$c4,$c4).
% 33.25/33.51 35713 [hyper,19209,58,17894,14308] {-} perp($c4,$c4,$c4,$c3).
% 33.25/33.51 53116 [hyper,35713,9,30127] {-} para($c4,$c6,$c4,$c3).
% 33.25/33.51 72600 [hyper,53116,46,13516,5937] {-} midp($c6,$c6,$c3).
% 33.25/33.51 74114 [hyper,72600,11] {-} midp($c6,$c3,$c6).
% 33.25/33.51 82323 [hyper,74114,64,17391] {-} para($c7,$c3,$c8,$c6).
% 33.25/33.51 82324 [binary,82323.1,113.1] {-} $F.
% 33.25/33.51
% 33.25/33.51 % SZS output end Refutation
% 33.25/33.51 ------------ end of proof -------------
% 33.25/33.51
% 33.25/33.51
% 33.25/33.51 Search stopped by max_proofs option.
% 33.25/33.51
% 33.25/33.51
% 33.25/33.51 Search stopped by max_proofs option.
% 33.25/33.51
% 33.25/33.51 ============ end of search ============
% 33.25/33.51
% 33.25/33.51 That finishes the proof of the theorem.
% 33.25/33.51
% 33.25/33.51 Process 24820 finished Sat Jun 18 10:42:51 2022
%------------------------------------------------------------------------------