TSTP Solution File: GEO577+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO577+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n016.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 33.30s 33.48s
% Output : Refutation 33.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO577+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : sos-script %s
% 0.11/0.33 % Computer : n016.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jun 18 18:58:52 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.36 ----- Otter 3.2, August 2001 -----
% 0.11/0.36 The process was started by sandbox2 on n016.cluster.edu,
% 0.11/0.36 Sat Jun 18 18:58:52 2022
% 0.11/0.36 The command was "./sos". The process ID is 14254.
% 0.11/0.36
% 0.11/0.36 set(prolog_style_variables).
% 0.11/0.36 set(auto).
% 0.11/0.36 dependent: set(auto1).
% 0.11/0.36 dependent: set(process_input).
% 0.11/0.36 dependent: clear(print_kept).
% 0.11/0.36 dependent: clear(print_new_demod).
% 0.11/0.36 dependent: clear(print_back_demod).
% 0.11/0.36 dependent: clear(print_back_sub).
% 0.11/0.36 dependent: set(control_memory).
% 0.11/0.36 dependent: assign(max_mem, 12000).
% 0.11/0.36 dependent: assign(pick_given_ratio, 4).
% 0.11/0.36 dependent: assign(stats_level, 1).
% 0.11/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.11/0.36 dependent: assign(sos_limit, 5000).
% 0.11/0.36 dependent: assign(max_weight, 60).
% 0.11/0.36 clear(print_given).
% 0.11/0.36
% 0.11/0.36 formula_list(usable).
% 0.11/0.36
% 0.11/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.11/0.36
% 0.11/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.11/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.11/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.11/0.36 clauses in usable.
% 0.11/0.36
% 0.11/0.36 dependent: set(knuth_bendix).
% 0.11/0.36 dependent: set(para_from).
% 0.11/0.36 dependent: set(para_into).
% 0.11/0.36 dependent: clear(para_from_right).
% 0.11/0.36 dependent: clear(para_into_right).
% 0.11/0.36 dependent: set(para_from_vars).
% 0.11/0.36 dependent: set(eq_units_both_ways).
% 0.11/0.36 dependent: set(dynamic_demod_all).
% 0.11/0.36 dependent: set(dynamic_demod).
% 0.11/0.36 dependent: set(order_eq).
% 0.11/0.36 dependent: set(back_demod).
% 0.11/0.36 dependent: set(lrpo).
% 0.11/0.36 dependent: set(hyper_res).
% 0.11/0.36 dependent: set(unit_deletion).
% 0.11/0.36 dependent: set(factor).
% 0.11/0.36
% 0.11/0.36 ------------> process usable:
% 0.11/0.36 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).
% 0.11/0.36
% 0.11/0.36 ------------> process sos:
% 0.11/0.36 Following clause subsumed by 167 during input processing: 0 [copy,167,flip.1] {-} A=A.
% 0.11/0.36 167 back subsumes 146.
% 0.11/0.36 167 back subsumes 145.
% 0.11/0.36 167 back subsumes 144.
% 0.11/0.36 167 back subsumes 143.
% 0.11/0.36
% 0.11/0.36 ======= 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: 87
% 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 ===========
% 9.93/10.11
% 9.93/10.11
% 9.93/10.11 Changing weight limit from 60 to 59.
% 9.93/10.11
% 9.93/10.11 Resetting weight limit to 59 after 225 givens.
% 9.93/10.11
% 11.46/11.72
% 11.46/11.72
% 11.46/11.72 Changing weight limit from 59 to 56.
% 11.46/11.72
% 11.46/11.72 Resetting weight limit to 56 after 235 givens.
% 11.46/11.72
% 11.76/11.99
% 11.76/11.99
% 11.76/11.99 Changing weight limit from 56 to 55.
% 11.76/11.99
% 11.76/11.99 Resetting weight limit to 55 after 240 givens.
% 11.76/11.99
% 18.71/18.91
% 18.71/18.91
% 18.71/18.91 Changing weight limit from 55 to 54.
% 18.71/18.91
% 18.71/18.91 Resetting weight limit to 54 after 290 givens.
% 18.71/18.91
% 20.73/20.95
% 20.73/20.95
% 20.73/20.95 Changing weight limit from 54 to 50.
% 20.73/20.95
% 20.73/20.95 Resetting weight limit to 50 after 295 givens.
% 20.73/20.95
% 22.70/22.87
% 22.70/22.87
% 22.70/22.87 Changing weight limit from 50 to 45.
% 22.70/22.87
% 22.70/22.87 Modelling stopped after 300 given clauses and 0.00 seconds
% 22.70/22.87
% 22.70/22.87
% 22.70/22.87 Resetting weight limit to 45 after 305 givens.
% 22.70/22.87
% 23.61/23.80
% 23.61/23.80
% 23.61/23.80 Changing weight limit from 45 to 31.
% 23.61/23.80
% 23.61/23.80 Resetting weight limit to 31 after 310 givens.
% 23.61/23.80
% 23.96/24.15
% 23.96/24.15
% 23.96/24.15 Changing weight limit from 31 to 30.
% 23.96/24.15
% 23.96/24.15 Resetting weight limit to 30 after 315 givens.
% 23.96/24.15
% 25.34/25.56
% 25.34/25.56
% 25.34/25.56 Changing weight limit from 30 to 29.
% 25.34/25.56
% 25.34/25.56 Resetting weight limit to 29 after 410 givens.
% 25.34/25.56
% 25.91/26.19
% 25.91/26.19
% 25.91/26.19 Changing weight limit from 29 to 18.
% 25.91/26.19
% 25.91/26.19 Resetting weight limit to 18 after 430 givens.
% 25.91/26.19
% 26.05/26.26
% 26.05/26.26
% 26.05/26.26 Changing weight limit from 18 to 17.
% 26.05/26.26
% 26.05/26.26 Resetting weight limit to 17 after 440 givens.
% 26.05/26.26
% 26.05/26.27
% 26.05/26.27
% 26.05/26.27 Changing weight limit from 17 to 14.
% 26.05/26.27
% 26.05/26.27 Resetting weight limit to 14 after 445 givens.
% 26.05/26.27
% 26.31/26.50
% 26.31/26.50
% 26.31/26.50 Changing weight limit from 14 to 11.
% 26.31/26.50
% 26.31/26.50 Resetting weight limit to 11 after 605 givens.
% 26.31/26.50
% 26.31/26.51
% 26.31/26.51
% 26.31/26.51 Changing weight limit from 11 to 10.
% 26.31/26.51
% 26.31/26.51 Resetting weight limit to 10 after 610 givens.
% 26.31/26.51
% 27.94/28.12
% 27.94/28.12
% 27.94/28.12 Changing weight limit from 10 to 9.
% 27.94/28.12
% 27.94/28.12 Resetting weight limit to 9 after 1030 givens.
% 27.94/28.12
% 33.30/33.48
% 33.30/33.48 -- HEY sandbox2, WE HAVE A PROOF!! --
% 33.30/33.48
% 33.30/33.48 ----> UNIT CONFLICT at 32.88 sec ----> 69853 [binary,69852.1,113.1] {-} $F.
% 33.30/33.48
% 33.30/33.48 Length of proof is 114. Level of proof is 16.
% 33.30/33.48
% 33.30/33.48 ---------------- PROOF ----------------
% 33.30/33.48 % SZS status Theorem
% 33.30/33.48 % SZS output start Refutation
% 33.30/33.48
% 33.30/33.48 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 33.30/33.48 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 33.30/33.48 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 33.30/33.48 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 33.30/33.48 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 33.30/33.48 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 33.30/33.48 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 33.30/33.48 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 33.30/33.48 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 33.30/33.48 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 33.30/33.48 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 33.30/33.48 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 33.30/33.48 16 [] {+} -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 33.30/33.48 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 33.30/33.48 19 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(C,D,A,B,G,H,E,F).
% 33.30/33.48 21 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(A,B,E,F,C,D,G,H).
% 33.30/33.48 39 [] {+} -eqangle(A,B,C,D,E,F,C,D)|para(A,B,E,F).
% 33.30/33.48 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 33.30/33.48 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 33.30/33.48 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).
% 33.30/33.48 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 33.30/33.48 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 33.30/33.48 56 [] {+} -midp(A,B,C)| -perp(D,A,B,C)|cong(D,B,D,C).
% 33.30/33.48 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 33.30/33.48 58 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)| -cyclic(A,C,B,D)|perp(B,A,A,D).
% 33.30/33.48 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 33.30/33.48 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 33.30/33.48 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 33.30/33.48 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 33.30/33.48 73 [] {+} -eqangle(A,B,C,D,E,F,G,H)| -para(E,F,G,H)|para(A,B,C,D).
% 33.30/33.48 113 [] {+} -para($c4,$c3,$c9,$c6).
% 33.30/33.48 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 33.30/33.48 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 33.30/33.48 123 [factor,44.2.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,E)|cong(A,B,D,E).
% 33.30/33.48 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 33.30/33.48 159 [] {-} eqangle($c6,$c9,$c9,$c8,$c6,$c9,$c9,$c7).
% 33.30/33.48 160 [] {-} eqangle($c6,$c8,$c8,$c7,$c6,$c8,$c8,$c9).
% 33.30/33.48 164 [] {-} coll($c4,$c7,$c6).
% 33.30/33.48 165 [] {-} perp($c8,$c6,$c8,$c3).
% 33.30/33.48 168 [hyper,159,21] {-} eqangle($c6,$c9,$c6,$c9,$c9,$c8,$c9,$c7).
% 33.30/33.48 170 [hyper,159,19] {-} eqangle($c9,$c8,$c6,$c9,$c9,$c7,$c6,$c9).
% 33.30/33.48 204 [hyper,164,114] {-} coll($c6,$c6,$c4).
% 33.30/33.48 205 [hyper,164,2] {-} coll($c7,$c4,$c6).
% 33.30/33.48 233 [hyper,205,114] {-} coll($c6,$c6,$c7).
% 33.30/33.48 249 [hyper,160,19] {-} eqangle($c8,$c7,$c6,$c8,$c8,$c9,$c6,$c8).
% 33.30/33.48 324 [hyper,233,114] {-} coll($c7,$c7,$c6).
% 33.30/33.48 568 [hyper,165,8] {-} perp($c8,$c3,$c8,$c6).
% 33.30/33.48 569 [hyper,165,7] {-} perp($c8,$c6,$c3,$c8).
% 33.30/33.48 738 [hyper,568,9,165] {-} para($c8,$c6,$c8,$c6).
% 33.30/33.48 739 [hyper,568,9,165] {-} para($c8,$c3,$c8,$c3).
% 33.30/33.48 758 [hyper,569,8] {-} perp($c3,$c8,$c8,$c6).
% 33.30/33.48 775 [hyper,738,67] {-} coll($c8,$c6,$c6).
% 33.30/33.48 776 [hyper,738,40] {-} eqangle($c8,$c6,A,B,$c8,$c6,A,B).
% 33.30/33.48 777 [hyper,738,4] {-} para($c8,$c6,$c6,$c8).
% 33.30/33.48 794 [hyper,775,114] {-} coll($c6,$c6,$c8).
% 33.30/33.48 844 [hyper,794,114] {-} coll($c8,$c8,$c6).
% 33.30/33.48 845 [hyper,794,3,233] {-} coll($c7,$c8,$c6).
% 33.30/33.48 846 [hyper,794,3,204] {-} coll($c4,$c8,$c6).
% 33.30/33.48 873 [hyper,844,1] {-} coll($c8,$c6,$c8).
% 33.30/33.48 886 [hyper,845,1] {-} coll($c7,$c6,$c8).
% 33.30/33.48 899 [hyper,170,39] {-} para($c9,$c8,$c9,$c7).
% 33.30/33.48 933 [hyper,846,1] {-} coll($c4,$c6,$c8).
% 33.30/33.48 972 [hyper,873,114] {-} coll($c8,$c8,$c8).
% 33.30/33.48 973 [hyper,873,3,775] {-} coll($c6,$c8,$c8).
% 33.30/33.48 1027 [hyper,886,2] {-} coll($c6,$c7,$c8).
% 33.30/33.48 1040 [hyper,933,114] {-} coll($c8,$c8,$c4).
% 33.30/33.48 2280 [hyper,739,67] {-} coll($c8,$c3,$c3).
% 33.30/33.48 2281 [hyper,739,40] {-} eqangle($c8,$c3,A,B,$c8,$c3,A,B).
% 33.30/33.48 2298 [hyper,2280,114] {-} coll($c3,$c3,$c8).
% 33.30/33.48 2313 [hyper,2298,114] {-} coll($c8,$c8,$c3).
% 33.30/33.48 2501 [hyper,2313,3,844] {-} coll($c3,$c6,$c8).
% 33.30/33.48 2836 [hyper,2501,1] {-} coll($c3,$c8,$c6).
% 33.30/33.48 4766 [hyper,777,5] {-} para($c6,$c8,$c8,$c6).
% 33.30/33.48 4783 [hyper,899,73,168] {-} para($c6,$c9,$c6,$c9).
% 33.30/33.48 4784 [hyper,899,67] {-} coll($c9,$c8,$c7).
% 33.30/33.48 4786 [hyper,899,5] {-} para($c9,$c7,$c9,$c8).
% 33.30/33.48 4787 [hyper,899,4] {-} para($c9,$c8,$c7,$c9).
% 33.30/33.48 4804 [hyper,4784,114] {-} coll($c7,$c7,$c9).
% 33.30/33.48 4806 [hyper,4784,1] {-} coll($c9,$c7,$c8).
% 33.30/33.48 4899 [hyper,4804,3,324] {-} coll($c6,$c9,$c7).
% 33.30/33.48 4930 [hyper,4806,114] {-} coll($c8,$c8,$c9).
% 33.30/33.48 5014 [hyper,4899,1] {-} coll($c6,$c7,$c9).
% 33.30/33.48 5335 [hyper,5014,3,1027] {-} coll($c9,$c8,$c6).
% 33.30/33.48 7715 [hyper,4783,4] {-} para($c6,$c9,$c9,$c6).
% 33.30/33.48 7846 [hyper,4786,4] {-} para($c9,$c7,$c8,$c9).
% 33.30/33.48 7942 [hyper,4787,6,4786] {-} para($c9,$c7,$c7,$c9).
% 33.30/33.48 8445 [hyper,7846,5] {-} para($c8,$c9,$c9,$c7).
% 33.30/33.48 8926 [hyper,8445,6,7942] {-} para($c8,$c9,$c7,$c9).
% 33.30/33.48 8927 [hyper,8445,6,7846] {-} para($c8,$c9,$c8,$c9).
% 33.30/33.48 10827 [hyper,249,39] {-} para($c8,$c7,$c8,$c9).
% 33.30/33.48 10908 [hyper,10827,6,8926] {-} para($c8,$c7,$c7,$c9).
% 33.30/33.48 10911 [hyper,10827,5] {-} para($c8,$c9,$c8,$c7).
% 33.30/33.48 10999 [hyper,10908,5] {-} para($c7,$c9,$c8,$c7).
% 33.30/33.48 11257 [hyper,10911,6,10827] {-} para($c8,$c7,$c8,$c7).
% 33.30/33.48 11338 [hyper,10999,4] {-} para($c7,$c9,$c7,$c8).
% 33.30/33.48 11774 [hyper,11338,5] {-} para($c7,$c8,$c7,$c9).
% 33.30/33.48 13329 [hyper,776,43,4930] {-} cyclic($c6,$c9,$c8,$c8).
% 33.30/33.48 13330 [hyper,776,43,2313] {-} cyclic($c6,$c3,$c8,$c8).
% 33.30/33.48 13331 [hyper,776,43,1040] {-} cyclic($c6,$c4,$c8,$c8).
% 33.30/33.48 13333 [hyper,776,43,972] {-} cyclic($c6,$c8,$c8,$c8).
% 33.30/33.48 13334 [hyper,776,43,844] {-} cyclic($c6,$c6,$c8,$c8).
% 33.30/33.48 13339 [hyper,13329,15] {-} cyclic($c6,$c8,$c9,$c8).
% 33.30/33.48 13340 [hyper,13330,120] {-} cyclic($c3,$c8,$c8,$c8).
% 33.30/33.48 13343 [hyper,13330,15] {-} cyclic($c6,$c8,$c3,$c8).
% 33.30/33.48 13346 [hyper,13331,15] {-} cyclic($c6,$c8,$c4,$c8).
% 33.30/33.48 13354 [hyper,13334,15] {-} cyclic($c6,$c8,$c6,$c8).
% 33.30/33.48 13361 [hyper,13339,14] {-} cyclic($c6,$c8,$c8,$c9).
% 33.30/33.48 13362 [hyper,13340,16] {-} cyclic($c8,$c3,$c8,$c8).
% 33.30/33.48 13367 [hyper,13343,14] {-} cyclic($c6,$c8,$c8,$c3).
% 33.30/33.48 13374 [hyper,13346,14] {-} cyclic($c6,$c8,$c8,$c4).
% 33.30/33.48 13390 [hyper,13354,14] {-} cyclic($c6,$c8,$c8,$c6).
% 33.30/33.48 13405 [hyper,13362,15] {-} cyclic($c8,$c8,$c3,$c8).
% 33.30/33.48 13414 [hyper,13367,120] {-} cyclic($c8,$c8,$c3,$c3).
% 33.30/33.48 13418 [hyper,13367,17,13361] {-} cyclic($c8,$c8,$c3,$c9).
% 33.30/33.48 13441 [hyper,13374,17,13367] {-} cyclic($c8,$c8,$c3,$c4).
% 33.30/33.48 13480 [hyper,13390,123,13333,776] {-} cong($c6,$c8,$c6,$c8).
% 33.30/33.48 13563 [hyper,13418,120] {-} cyclic($c8,$c3,$c9,$c9).
% 33.30/33.48 13565 [hyper,13418,17,13414] {-} cyclic($c8,$c3,$c3,$c9).
% 33.30/33.48 13567 [hyper,13418,17,13414] {-} cyclic($c8,$c3,$c9,$c3).
% 33.30/33.48 13568 [hyper,13418,17,13405] {-} cyclic($c8,$c3,$c9,$c8).
% 33.30/33.48 13586 [hyper,13441,120] {-} cyclic($c8,$c3,$c4,$c4).
% 33.30/33.48 13589 [hyper,13441,17,13414] {-} cyclic($c8,$c3,$c3,$c4).
% 33.30/33.48 13592 [hyper,13441,17,13414] {-} cyclic($c8,$c3,$c4,$c3).
% 33.30/33.48 13593 [hyper,13441,17,13405] {-} cyclic($c8,$c3,$c4,$c8).
% 33.30/33.48 13749 [hyper,13480,68,973] {-} midp($c6,$c8,$c8).
% 33.30/33.48 13758 [hyper,13749,129,11257] {-} midp($c6,$c7,$c7).
% 33.30/33.48 13759 [hyper,13749,129,8927] {-} midp($c6,$c9,$c9).
% 33.30/33.48 13761 [hyper,13749,129,738] {-} midp($c6,$c6,$c6).
% 33.30/33.48 13766 [hyper,13749,46,4766,844] {-} midp($c8,$c8,$c6).
% 33.30/33.48 13800 [hyper,13758,65,11774,11338] {-} midp($c6,$c8,$c9).
% 33.30/33.48 13823 [hyper,13759,69] {-} cong($c6,$c9,$c6,$c9).
% 33.30/33.48 13894 [hyper,13761,69] {-} cong($c6,$c6,$c6,$c6).
% 33.30/33.48 14122 [hyper,13766,56,758] {-} cong($c3,$c8,$c3,$c6).
% 33.30/33.48 14216 [hyper,13800,46,7715,5335] {-} midp($c9,$c8,$c6).
% 33.30/33.48 16485 [hyper,13568,120] {-} cyclic($c3,$c9,$c8,$c8).
% 33.30/33.48 16489 [hyper,13568,17,13567] {-} cyclic($c3,$c9,$c8,$c3).
% 33.30/33.48 16490 [hyper,13568,17,13563] {-} cyclic($c3,$c9,$c8,$c9).
% 33.30/33.48 16574 [hyper,13589,17,13565] {-} cyclic($c3,$c3,$c4,$c9).
% 33.30/33.48 16598 [hyper,13593,120] {-} cyclic($c3,$c4,$c8,$c8).
% 33.30/33.48 16603 [hyper,13593,17,13592] {-} cyclic($c3,$c4,$c8,$c3).
% 33.30/33.48 16605 [hyper,13593,17,13586] {-} cyclic($c3,$c4,$c8,$c4).
% 33.30/33.48 18483 [hyper,13894,57,13823] {-} perp($c6,$c6,$c9,$c6).
% 33.30/33.48 20376 [hyper,14122,68,2836] {-} midp($c3,$c8,$c6).
% 33.30/33.48 20520 [hyper,20376,45,14216] {-} para($c3,$c9,$c6,$c6).
% 33.30/33.48 30431 [hyper,16490,44,16489,16485,2281] {-} cong($c3,$c9,$c3,$c9).
% 33.30/33.48 30531 [hyper,16605,44,16603,16598,2281] {-} cong($c3,$c4,$c3,$c4).
% 33.30/33.48 45554 [hyper,20520,10,18483] {-} perp($c3,$c9,$c9,$c6).
% 33.30/33.48 49376 [hyper,30531,58,30431,16574] {-} perp($c4,$c3,$c3,$c9).
% 33.30/33.48 69852 [hyper,49376,9,45554] {-} para($c4,$c3,$c9,$c6).
% 33.30/33.48 69853 [binary,69852.1,113.1] {-} $F.
% 33.30/33.48
% 33.30/33.48 % SZS output end Refutation
% 33.30/33.48 ------------ end of proof -------------
% 33.30/33.48
% 33.30/33.48
% 33.30/33.48 Search stopped by max_proofs option.
% 33.30/33.48
% 33.30/33.48
% 33.30/33.48 Search stopped by max_proofs option.
% 33.30/33.48
% 33.30/33.48 ============ end of search ============
% 33.30/33.48
% 33.30/33.48 That finishes the proof of the theorem.
% 33.30/33.48
% 33.30/33.48 Process 14254 finished Sat Jun 18 18:59:25 2022
%------------------------------------------------------------------------------