TSTP Solution File: GEO633+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO633+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n025.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 06:21:15 EDT 2022
% Result : Theorem 53.85s 54.06s
% Output : Refutation 53.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO633+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : sos-script %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 02:35:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.37 ----- Otter 3.2, August 2001 -----
% 0.19/0.37 The process was started by sandbox2 on n025.cluster.edu,
% 0.19/0.37 Sat Jun 18 02:35:28 2022
% 0.19/0.37 The command was "./sos". The process ID is 6394.
% 0.19/0.37
% 0.19/0.37 set(prolog_style_variables).
% 0.19/0.37 set(auto).
% 0.19/0.37 dependent: set(auto1).
% 0.19/0.37 dependent: set(process_input).
% 0.19/0.37 dependent: clear(print_kept).
% 0.19/0.37 dependent: clear(print_new_demod).
% 0.19/0.37 dependent: clear(print_back_demod).
% 0.19/0.37 dependent: clear(print_back_sub).
% 0.19/0.37 dependent: set(control_memory).
% 0.19/0.37 dependent: assign(max_mem, 12000).
% 0.19/0.37 dependent: assign(pick_given_ratio, 4).
% 0.19/0.37 dependent: assign(stats_level, 1).
% 0.19/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.37 dependent: assign(sos_limit, 5000).
% 0.19/0.37 dependent: assign(max_weight, 60).
% 0.19/0.37 clear(print_given).
% 0.19/0.37
% 0.19/0.37 formula_list(usable).
% 0.19/0.37
% 0.19/0.37 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.19/0.37
% 0.19/0.37 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.37 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.37 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.37 clauses in usable.
% 0.19/0.37
% 0.19/0.37 dependent: set(knuth_bendix).
% 0.19/0.37 dependent: set(para_from).
% 0.19/0.37 dependent: set(para_into).
% 0.19/0.37 dependent: clear(para_from_right).
% 0.19/0.37 dependent: clear(para_into_right).
% 0.19/0.37 dependent: set(para_from_vars).
% 0.19/0.37 dependent: set(eq_units_both_ways).
% 0.19/0.37 dependent: set(dynamic_demod_all).
% 0.19/0.37 dependent: set(dynamic_demod).
% 0.19/0.37 dependent: set(order_eq).
% 0.19/0.37 dependent: set(back_demod).
% 0.19/0.37 dependent: set(lrpo).
% 0.19/0.37 dependent: set(hyper_res).
% 0.19/0.37 dependent: set(unit_deletion).
% 0.19/0.37 dependent: set(factor).
% 0.19/0.37
% 0.19/0.37 ------------> process usable:
% 0.19/0.37 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).
% 0.19/0.37
% 0.19/0.37 ------------> process sos:
% 0.19/0.37 Following clause subsumed by 167 during input processing: 0 [copy,167,flip.1] {-} A=A.
% 0.19/0.37 167 back subsumes 146.
% 0.19/0.37 167 back subsumes 145.
% 0.19/0.37 167 back subsumes 144.
% 0.19/0.37 167 back subsumes 143.
% 0.19/0.37
% 0.19/0.37 ======= 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: 90
% 0.19/0.43 percent of all initial clauses that are short: 100
% 0.19/0.43 absolute distinct symbol count: 40
% 0.19/0.43 distinct predicate count: 12
% 0.19/0.43 distinct function count: 20
% 0.19/0.43 distinct constant count: 8
% 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 ===========
% 6.02/6.23
% 6.02/6.23
% 6.02/6.23 Changing weight limit from 60 to 56.
% 6.02/6.23
% 6.02/6.23 Resetting weight limit to 56 after 255 givens.
% 6.02/6.23
% 7.28/7.48
% 7.28/7.48
% 7.28/7.48 Changing weight limit from 56 to 55.
% 7.28/7.48
% 7.28/7.48 Resetting weight limit to 55 after 265 givens.
% 7.28/7.48
% 9.68/9.86
% 9.68/9.86
% 9.68/9.86 Changing weight limit from 55 to 54.
% 9.68/9.86
% 9.68/9.86 Resetting weight limit to 54 after 290 givens.
% 9.68/9.86
% 10.87/11.06
% 10.87/11.06
% 10.87/11.06 Changing weight limit from 54 to 51.
% 10.87/11.06
% 10.87/11.06 Modelling stopped after 300 given clauses and 0.00 seconds
% 10.87/11.06
% 10.87/11.06
% 10.87/11.06 Resetting weight limit to 51 after 305 givens.
% 10.87/11.06
% 12.38/12.61
% 12.38/12.61
% 12.38/12.61 Changing weight limit from 51 to 50.
% 12.38/12.61
% 12.38/12.61 Resetting weight limit to 50 after 325 givens.
% 12.38/12.61
% 15.55/15.78
% 15.55/15.78
% 15.55/15.78 Changing weight limit from 50 to 49.
% 15.55/15.78
% 15.55/15.78 Resetting weight limit to 49 after 390 givens.
% 15.55/15.78
% 17.34/17.52
% 17.34/17.52
% 17.34/17.52 Changing weight limit from 49 to 46.
% 17.34/17.52
% 17.34/17.52 Resetting weight limit to 46 after 425 givens.
% 17.34/17.52
% 17.50/17.74
% 17.50/17.74
% 17.50/17.74 Changing weight limit from 46 to 45.
% 17.50/17.74
% 17.50/17.74 Resetting weight limit to 45 after 430 givens.
% 17.50/17.74
% 18.23/18.41
% 18.23/18.41
% 18.23/18.41 Changing weight limit from 45 to 44.
% 18.23/18.41
% 18.23/18.41 Resetting weight limit to 44 after 445 givens.
% 18.23/18.41
% 18.50/18.68
% 18.50/18.68
% 18.50/18.68 Changing weight limit from 44 to 37.
% 18.50/18.68
% 18.50/18.68 Resetting weight limit to 37 after 450 givens.
% 18.50/18.68
% 18.72/18.93
% 18.72/18.93
% 18.72/18.93 Changing weight limit from 37 to 36.
% 18.72/18.93
% 18.72/18.93 Resetting weight limit to 36 after 455 givens.
% 18.72/18.93
% 18.92/19.11
% 18.92/19.11
% 18.92/19.11 Changing weight limit from 36 to 35.
% 18.92/19.11
% 18.92/19.11 Resetting weight limit to 35 after 460 givens.
% 18.92/19.11
% 19.28/19.47
% 19.28/19.47
% 19.28/19.47 Changing weight limit from 35 to 34.
% 19.28/19.47
% 19.28/19.47 Resetting weight limit to 34 after 470 givens.
% 19.28/19.47
% 19.67/19.85
% 19.67/19.85
% 19.67/19.85 Changing weight limit from 34 to 31.
% 19.67/19.85
% 19.67/19.85 Resetting weight limit to 31 after 480 givens.
% 19.67/19.85
% 19.77/19.95
% 19.77/19.95
% 19.77/19.95 Changing weight limit from 31 to 30.
% 19.77/19.95
% 19.77/19.95 Resetting weight limit to 30 after 485 givens.
% 19.77/19.95
% 26.16/26.34
% 26.16/26.34
% 26.16/26.34 Changing weight limit from 30 to 29.
% 26.16/26.34
% 26.16/26.34 Resetting weight limit to 29 after 675 givens.
% 26.16/26.34
% 27.18/27.38
% 27.18/27.38
% 27.18/27.38 Changing weight limit from 29 to 11.
% 27.18/27.38
% 27.18/27.38 Resetting weight limit to 11 after 745 givens.
% 27.18/27.38
% 27.18/27.40
% 27.18/27.40
% 27.18/27.40 Changing weight limit from 11 to 10.
% 27.18/27.40
% 27.18/27.40 Resetting weight limit to 10 after 750 givens.
% 27.18/27.40
% 29.37/29.60
% 29.37/29.60
% 29.37/29.60 Changing weight limit from 10 to 9.
% 29.37/29.60
% 29.37/29.60 Resetting weight limit to 9 after 1400 givens.
% 29.37/29.60
% 39.05/39.25
% 39.05/39.25
% 39.05/39.25 Changing weight limit from 9 to 8.
% 39.05/39.25
% 39.05/39.25 Resetting weight limit to 8 after 6075 givens.
% 39.05/39.25
% 53.85/54.06
% 53.85/54.06 -- HEY sandbox2, WE HAVE A PROOF!! --
% 53.85/54.06
% 53.85/54.06 ----> UNIT CONFLICT at 52.98 sec ----> 105627 [binary,105626.1,113.1] {-} $F.
% 53.85/54.06
% 53.85/54.06 Length of proof is 103. Level of proof is 15.
% 53.85/54.06
% 53.85/54.06 ---------------- PROOF ----------------
% 53.85/54.06 % SZS status Theorem
% 53.85/54.06 % SZS output start Refutation
% 53.85/54.06
% 53.85/54.06 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 53.85/54.06 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 53.85/54.06 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 53.85/54.06 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 53.85/54.06 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 53.85/54.06 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 53.85/54.06 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 53.85/54.06 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 53.85/54.06 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 53.85/54.06 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 53.85/54.06 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 53.85/54.06 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 53.85/54.06 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 53.85/54.06 20 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(E,F,G,H,A,B,C,D).
% 53.85/54.06 22 [] {+} -eqangle(A,B,C,D,E,F,G,H)| -eqangle(E,F,G,H,I,J,K,L)|eqangle(A,B,C,D,I,J,K,L).
% 53.85/54.06 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 53.85/54.06 39 [] {+} -eqangle(A,B,C,D,E,F,C,D)|para(A,B,E,F).
% 53.85/54.06 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 53.85/54.06 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 53.85/54.06 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).
% 53.85/54.06 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 53.85/54.06 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 53.85/54.06 56 [] {+} -midp(A,B,C)| -perp(D,A,B,C)|cong(D,B,D,C).
% 53.85/54.06 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 53.85/54.06 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 53.85/54.06 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 53.85/54.06 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 53.85/54.06 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 53.85/54.06 70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 53.85/54.06 113 [] {+} -perp($c2,$c1,$c8,$c4).
% 53.85/54.06 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 53.85/54.06 123 [factor,44.2.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,E)|cong(A,B,D,E).
% 53.85/54.06 124 [factor,45.1.2] {+} -midp(A,B,C)|para(A,A,C,C).
% 53.85/54.06 125 [factor,57.1.2] {+} -cong(A,B,C,B)|perp(A,C,B,B).
% 53.85/54.06 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 53.85/54.06 159 [] {-} midp($c5,$c6,$c7).
% 53.85/54.06 160 [] {-} eqangle($c4,$c8,$c8,$c7,$c6,$c8,$c8,$c5).
% 53.85/54.06 162 [] {-} coll($c3,$c8,$c5).
% 53.85/54.06 163 [] {-} perp($c2,$c3,$c8,$c7).
% 53.85/54.06 164 [] {-} coll($c2,$c8,$c7).
% 53.85/54.06 165 [] {-} perp($c1,$c3,$c8,$c6).
% 53.85/54.06 166 [] {-} coll($c1,$c8,$c6).
% 53.85/54.06 174 [hyper,159,70] {-} coll($c5,$c6,$c7).
% 53.85/54.06 175 [hyper,159,69] {-} cong($c5,$c6,$c5,$c7).
% 53.85/54.06 176 [hyper,159,11] {-} midp($c5,$c7,$c6).
% 53.85/54.06 204 [hyper,162,114] {-} coll($c5,$c5,$c3).
% 53.85/54.06 206 [hyper,162,1] {-} coll($c3,$c5,$c8).
% 53.85/54.06 219 [hyper,164,114] {-} coll($c7,$c7,$c2).
% 53.85/54.06 221 [hyper,164,1] {-} coll($c2,$c7,$c8).
% 53.85/54.06 235 [hyper,160,20] {-} eqangle($c6,$c8,$c8,$c5,$c4,$c8,$c8,$c7).
% 53.85/54.06 272 [hyper,166,1] {-} coll($c1,$c6,$c8).
% 53.85/54.06 285 [hyper,174,114] {-} coll($c7,$c7,$c5).
% 53.85/54.06 305 [hyper,176,124] {-} para($c5,$c5,$c6,$c6).
% 53.85/54.06 314 [hyper,176,69] {-} cong($c5,$c7,$c5,$c6).
% 53.85/54.06 343 [hyper,163,8] {-} perp($c8,$c7,$c2,$c3).
% 53.85/54.06 344 [hyper,163,7] {-} perp($c2,$c3,$c7,$c8).
% 53.85/54.06 389 [hyper,204,114] {-} coll($c3,$c3,$c5).
% 53.85/54.06 417 [hyper,165,8] {-} perp($c8,$c6,$c1,$c3).
% 53.85/54.06 418 [hyper,165,7] {-} perp($c1,$c3,$c6,$c8).
% 53.85/54.06 435 [hyper,206,114] {-} coll($c8,$c8,$c3).
% 53.85/54.06 449 [hyper,219,114] {-} coll($c2,$c2,$c7).
% 53.85/54.06 477 [hyper,221,114] {-} coll($c8,$c8,$c2).
% 53.85/54.06 563 [hyper,272,114] {-} coll($c8,$c8,$c1).
% 53.85/54.06 580 [hyper,285,1] {-} coll($c7,$c5,$c7).
% 53.85/54.06 845 [hyper,389,1] {-} coll($c3,$c5,$c3).
% 53.85/54.06 945 [hyper,449,1] {-} coll($c2,$c7,$c2).
% 53.85/54.06 1023 [hyper,477,3,435] {-} coll($c3,$c2,$c8).
% 53.85/54.06 1024 [hyper,477,3,435] {-} coll($c2,$c3,$c8).
% 53.85/54.06 1236 [hyper,563,3,435] {-} coll($c3,$c1,$c8).
% 53.85/54.06 1391 [hyper,580,2] {-} coll($c5,$c7,$c7).
% 53.85/54.06 1999 [hyper,845,3,206] {-} coll($c3,$c8,$c3).
% 53.85/54.06 2244 [hyper,945,114] {-} coll($c2,$c2,$c2).
% 53.85/54.06 2246 [hyper,945,3,221] {-} coll($c2,$c8,$c2).
% 53.85/54.06 2516 [hyper,1023,1] {-} coll($c3,$c8,$c2).
% 53.85/54.06 2529 [hyper,1024,1] {-} coll($c2,$c8,$c3).
% 53.85/54.06 3002 [hyper,1236,1] {-} coll($c3,$c8,$c1).
% 53.85/54.06 4822 [hyper,2516,114] {-} coll($c2,$c2,$c3).
% 53.85/54.06 4824 [hyper,2516,3,1999] {-} coll($c3,$c2,$c3).
% 53.85/54.06 4844 [hyper,2529,3,2246] {-} coll($c3,$c2,$c2).
% 53.85/54.06 5639 [hyper,3002,3,2516] {-} coll($c1,$c2,$c3).
% 53.85/54.06 6448 [hyper,235,22,160] {-} eqangle($c4,$c8,$c8,$c7,$c4,$c8,$c8,$c7).
% 53.85/54.06 10374 [hyper,314,25,175] {-} cong($c5,$c6,$c5,$c6).
% 53.85/54.06 10375 [hyper,314,25,175] {-} cong($c5,$c7,$c5,$c7).
% 53.85/54.06 10725 [hyper,343,9,163] {-} para($c2,$c3,$c2,$c3).
% 53.85/54.06 10727 [hyper,343,7] {-} perp($c8,$c7,$c3,$c2).
% 53.85/54.06 10737 [hyper,344,8] {-} perp($c7,$c8,$c2,$c3).
% 53.85/54.06 10748 [hyper,417,7] {-} perp($c8,$c6,$c3,$c1).
% 53.85/54.06 10818 [hyper,418,8] {-} perp($c6,$c8,$c1,$c3).
% 53.85/54.06 11474 [hyper,10374,125] {-} perp($c5,$c5,$c6,$c6).
% 53.85/54.06 11589 [hyper,10375,68,1391] {-} midp($c5,$c7,$c7).
% 53.85/54.06 12132 [hyper,10725,40] {-} eqangle($c2,$c3,A,B,$c2,$c3,A,B).
% 53.85/54.06 12287 [hyper,10727,8] {-} perp($c3,$c2,$c8,$c7).
% 53.85/54.06 12426 [hyper,10737,9,344] {-} para($c7,$c8,$c7,$c8).
% 53.85/54.06 12427 [hyper,10737,7] {-} perp($c7,$c8,$c3,$c2).
% 53.85/54.06 12703 [hyper,10748,8] {-} perp($c3,$c1,$c8,$c6).
% 53.85/54.06 12843 [hyper,10818,7] {-} perp($c6,$c8,$c3,$c1).
% 53.85/54.06 13261 [hyper,11474,8] {-} perp($c6,$c6,$c5,$c5).
% 53.85/54.06 14870 [hyper,12287,7] {-} perp($c3,$c2,$c7,$c8).
% 53.85/54.06 15008 [hyper,12426,129,11589] {-} midp($c5,$c8,$c8).
% 53.85/54.06 15226 [hyper,15008,69] {-} cong($c5,$c8,$c5,$c8).
% 53.85/54.06 15227 [hyper,15008,64,176] {-} para($c7,$c8,$c6,$c8).
% 53.85/54.06 15228 [hyper,15008,64,159] {-} para($c6,$c8,$c7,$c8).
% 53.85/54.06 15376 [hyper,12703,7] {-} perp($c3,$c1,$c6,$c8).
% 53.85/54.06 15850 [hyper,13261,10,305] {-} perp($c5,$c5,$c5,$c5).
% 53.85/54.06 17430 [hyper,15226,57,10375] {-} perp($c5,$c5,$c7,$c8).
% 53.85/54.06 17431 [hyper,15226,57,10374] {-} perp($c5,$c5,$c6,$c8).
% 53.85/54.06 17574 [hyper,15227,10,12843] {-} perp($c7,$c8,$c3,$c1).
% 53.85/54.06 17717 [hyper,15228,10,12427] {-} perp($c6,$c8,$c3,$c2).
% 53.85/54.06 17718 [hyper,15228,10,10737] {-} perp($c6,$c8,$c2,$c3).
% 53.85/54.06 19159 [hyper,17430,9,15850] {-} para($c5,$c5,$c7,$c8).
% 53.85/54.06 19164 [hyper,17430,9,12427] {-} para($c5,$c5,$c3,$c2).
% 53.85/54.06 19177 [hyper,17431,9,12843] {-} para($c5,$c5,$c3,$c1).
% 53.85/54.06 19205 [hyper,17574,9,14870] {-} para($c3,$c2,$c3,$c1).
% 53.85/54.06 19487 [hyper,17717,9,15376] {-} para($c3,$c1,$c3,$c2).
% 53.85/54.06 19490 [hyper,17718,9,15376] {-} para($c3,$c1,$c2,$c3).
% 53.85/54.06 20949 [hyper,19159,10,10737] {-} perp($c5,$c5,$c2,$c3).
% 53.85/54.06 21840 [hyper,19164,5] {-} para($c3,$c2,$c5,$c5).
% 53.85/54.06 23112 [hyper,19177,5] {-} para($c3,$c1,$c5,$c5).
% 53.85/54.06 33603 [hyper,23112,10,20949] {-} perp($c3,$c1,$c2,$c3).
% 53.85/54.06 44796 [hyper,6448,39] {-} para($c4,$c8,$c4,$c8).
% 53.85/54.06 44807 [hyper,44796,4] {-} para($c4,$c8,$c8,$c4).
% 53.85/54.06 44817 [hyper,44807,5] {-} para($c8,$c4,$c4,$c8).
% 53.85/54.06 44827 [hyper,44817,6,44807] {-} para($c8,$c4,$c8,$c4).
% 53.85/54.06 44828 [hyper,44827,129,15008] {-} midp($c5,$c4,$c4).
% 53.85/54.06 44867 [hyper,44828,69] {-} cong($c5,$c4,$c5,$c4).
% 53.85/54.06 44918 [hyper,44867,57,15226] {-} perp($c5,$c5,$c8,$c4).
% 53.85/54.06 45293 [hyper,44918,10,21840] {-} perp($c3,$c2,$c8,$c4).
% 53.85/54.06 54616 [hyper,12132,43,4822] {-} cyclic($c3,$c3,$c2,$c2).
% 53.85/54.06 54619 [hyper,12132,43,2244] {-} cyclic($c3,$c2,$c2,$c2).
% 53.85/54.06 72957 [hyper,54616,15] {-} cyclic($c3,$c2,$c3,$c2).
% 53.85/54.06 84840 [hyper,72957,14] {-} cyclic($c3,$c2,$c2,$c3).
% 53.85/54.06 93787 [hyper,84840,123,54619,12132] {-} cong($c3,$c2,$c3,$c2).
% 53.85/54.06 95165 [hyper,93787,68,4844] {-} midp($c3,$c2,$c2).
% 53.85/54.06 95169 [hyper,95165,129,10725] {-} midp($c3,$c3,$c3).
% 53.85/54.06 95423 [hyper,95165,46,19490,5639] {-} midp($c1,$c2,$c3).
% 53.85/54.06 95682 [hyper,95169,65,19487,19205] {-} midp($c3,$c1,$c2).
% 53.85/54.06 95950 [hyper,95423,56,33603] {-} cong($c3,$c2,$c3,$c3).
% 53.85/54.06 101863 [hyper,95950,68,4824] {-} midp($c3,$c2,$c3).
% 53.85/54.06 101874 [hyper,101863,64,95682] {-} para($c2,$c1,$c3,$c2).
% 53.85/54.06 105626 [hyper,101874,10,45293] {-} perp($c2,$c1,$c8,$c4).
% 53.85/54.06 105627 [binary,105626.1,113.1] {-} $F.
% 53.85/54.06
% 53.85/54.06 % SZS output end Refutation
% 53.85/54.06 ------------ end of proof -------------
% 53.85/54.06
% 53.85/54.06
% 53.85/54.06 Search stopped by max_proofs option.
% 53.85/54.06
% 53.85/54.06
% 53.85/54.06 Search stopped by max_proofs option.
% 53.85/54.06
% 53.85/54.06 ============ end of search ============
% 53.85/54.06
% 53.85/54.06 That finishes the proof of the theorem.
% 53.85/54.06
% 53.85/54.06 Process 6394 finished Sat Jun 18 02:36:21 2022
%------------------------------------------------------------------------------