TSTP Solution File: GEO652+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO652+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n011.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 06:21:21 EDT 2022
% Result : Theorem 78.96s 79.22s
% Output : Refutation 78.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO652+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : sos-script %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 02:39:22 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.38 ----- Otter 3.2, August 2001 -----
% 0.14/0.38 The process was started by sandbox2 on n011.cluster.edu,
% 0.14/0.38 Sat Jun 18 02:39:22 2022
% 0.14/0.38 The command was "./sos". The process ID is 2734.
% 0.14/0.38
% 0.14/0.38 set(prolog_style_variables).
% 0.14/0.38 set(auto).
% 0.14/0.38 dependent: set(auto1).
% 0.14/0.38 dependent: set(process_input).
% 0.14/0.38 dependent: clear(print_kept).
% 0.14/0.38 dependent: clear(print_new_demod).
% 0.14/0.38 dependent: clear(print_back_demod).
% 0.14/0.38 dependent: clear(print_back_sub).
% 0.14/0.38 dependent: set(control_memory).
% 0.14/0.38 dependent: assign(max_mem, 12000).
% 0.14/0.38 dependent: assign(pick_given_ratio, 4).
% 0.14/0.38 dependent: assign(stats_level, 1).
% 0.14/0.38 dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.38 dependent: assign(sos_limit, 5000).
% 0.14/0.38 dependent: assign(max_weight, 60).
% 0.14/0.38 clear(print_given).
% 0.14/0.38
% 0.14/0.38 formula_list(usable).
% 0.14/0.38
% 0.14/0.38 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.14/0.38
% 0.14/0.38 This ia a non-Horn set with equality. The strategy will be
% 0.14/0.38 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.14/0.38 unit deletion, with positive clauses in sos and nonpositive
% 0.14/0.38 clauses in usable.
% 0.14/0.38
% 0.14/0.38 dependent: set(knuth_bendix).
% 0.14/0.38 dependent: set(para_from).
% 0.14/0.38 dependent: set(para_into).
% 0.14/0.38 dependent: clear(para_from_right).
% 0.14/0.38 dependent: clear(para_into_right).
% 0.14/0.38 dependent: set(para_from_vars).
% 0.14/0.38 dependent: set(eq_units_both_ways).
% 0.14/0.38 dependent: set(dynamic_demod_all).
% 0.14/0.38 dependent: set(dynamic_demod).
% 0.14/0.38 dependent: set(order_eq).
% 0.14/0.38 dependent: set(back_demod).
% 0.14/0.38 dependent: set(lrpo).
% 0.14/0.38 dependent: set(hyper_res).
% 0.14/0.38 dependent: set(unit_deletion).
% 0.14/0.38 dependent: set(factor).
% 0.14/0.38
% 0.14/0.38 ------------> process usable:
% 0.14/0.38 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).
% 0.14/0.38
% 0.14/0.38 ------------> process sos:
% 0.14/0.38 Following clause subsumed by 173 during input processing: 0 [copy,173,flip.1] {-} A=A.
% 0.14/0.38 173 back subsumes 146.
% 0.14/0.38 173 back subsumes 145.
% 0.14/0.38 173 back subsumes 144.
% 0.14/0.38 173 back subsumes 143.
% 0.14/0.38
% 0.14/0.38 ======= end of input processing =======
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 Failed to model usable list: disabling FINDER
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 -------------- Softie stats --------------
% 0.21/0.45
% 0.21/0.45 UPDATE_STOP: 300
% 0.21/0.45 SFINDER_TIME_LIMIT: 2
% 0.21/0.45 SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.45 number of clauses in intial UL: 154
% 0.21/0.45 number of clauses initially in problem: 169
% 0.21/0.45 percentage of clauses intially in UL: 91
% 0.21/0.45 percentage of distinct symbols occuring in initial UL: 66
% 0.21/0.45 percent of all initial clauses that are short: 100
% 0.21/0.45 absolute distinct symbol count: 54
% 0.21/0.45 distinct predicate count: 12
% 0.21/0.45 distinct function count: 20
% 0.21/0.45 distinct constant count: 22
% 0.21/0.45
% 0.21/0.45 ---------- no more Softie stats ----------
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 =========== start of search ===========
% 6.02/6.22
% 6.02/6.22
% 6.02/6.22 Changing weight limit from 60 to 57.
% 6.02/6.22
% 6.02/6.22 Resetting weight limit to 57 after 255 givens.
% 6.02/6.22
% 6.92/7.11
% 6.92/7.11
% 6.92/7.11 Changing weight limit from 57 to 56.
% 6.92/7.11
% 6.92/7.11 Resetting weight limit to 56 after 260 givens.
% 6.92/7.11
% 9.15/9.39
% 9.15/9.39
% 9.15/9.39 Changing weight limit from 56 to 55.
% 9.15/9.39
% 9.15/9.39 Resetting weight limit to 55 after 275 givens.
% 9.15/9.39
% 11.27/11.50
% 11.27/11.50
% 11.27/11.50 Changing weight limit from 55 to 54.
% 11.27/11.50
% 11.27/11.50 Modelling stopped after 300 given clauses and 0.00 seconds
% 11.27/11.50
% 11.27/11.50
% 11.27/11.50 Resetting weight limit to 54 after 300 givens.
% 11.27/11.50
% 12.01/12.24
% 12.01/12.24
% 12.01/12.24 Changing weight limit from 54 to 52.
% 12.01/12.24
% 12.01/12.24 Resetting weight limit to 52 after 315 givens.
% 12.01/12.24
% 13.33/13.55
% 13.33/13.55
% 13.33/13.55 Changing weight limit from 52 to 51.
% 13.33/13.55
% 13.33/13.55 Resetting weight limit to 51 after 330 givens.
% 13.33/13.55
% 16.64/16.87
% 16.64/16.87
% 16.64/16.87 Changing weight limit from 51 to 50.
% 16.64/16.87
% 16.64/16.87 Resetting weight limit to 50 after 385 givens.
% 16.64/16.87
% 19.76/19.95
% 19.76/19.95
% 19.76/19.95 Changing weight limit from 50 to 49.
% 19.76/19.95
% 19.76/19.95 Resetting weight limit to 49 after 445 givens.
% 19.76/19.95
% 20.96/21.13
% 20.96/21.13
% 20.96/21.13 Changing weight limit from 49 to 47.
% 20.96/21.13
% 20.96/21.13 Resetting weight limit to 47 after 470 givens.
% 20.96/21.13
% 21.21/21.38
% 21.21/21.38
% 21.21/21.38 Changing weight limit from 47 to 46.
% 21.21/21.38
% 21.21/21.38 Resetting weight limit to 46 after 475 givens.
% 21.21/21.38
% 21.95/22.15
% 21.95/22.15
% 21.95/22.15 Changing weight limit from 46 to 45.
% 21.95/22.15
% 21.95/22.15 Resetting weight limit to 45 after 490 givens.
% 21.95/22.15
% 22.48/22.68
% 22.48/22.68
% 22.48/22.68 Changing weight limit from 45 to 44.
% 22.48/22.68
% 22.48/22.68 Resetting weight limit to 44 after 500 givens.
% 22.48/22.68
% 22.70/22.91
% 22.70/22.91
% 22.70/22.91 Changing weight limit from 44 to 35.
% 22.70/22.91
% 22.70/22.91 Resetting weight limit to 35 after 505 givens.
% 22.70/22.91
% 22.91/23.13
% 22.91/23.13
% 22.91/23.13 Changing weight limit from 35 to 31.
% 22.91/23.13
% 22.91/23.13 Resetting weight limit to 31 after 510 givens.
% 22.91/23.13
% 23.34/23.52
% 23.34/23.52
% 23.34/23.52 Changing weight limit from 31 to 30.
% 23.34/23.52
% 23.34/23.52 Resetting weight limit to 30 after 520 givens.
% 23.34/23.52
% 33.20/33.38
% 33.20/33.38
% 33.20/33.38 Changing weight limit from 30 to 29.
% 33.20/33.38
% 33.20/33.38 Resetting weight limit to 29 after 900 givens.
% 33.20/33.38
% 35.25/35.44
% 35.25/35.44
% 35.25/35.44 Changing weight limit from 29 to 18.
% 35.25/35.44
% 35.25/35.44 Resetting weight limit to 18 after 1300 givens.
% 35.25/35.44
% 35.43/35.60
% 35.43/35.60
% 35.43/35.60 Changing weight limit from 18 to 13.
% 35.43/35.60
% 35.43/35.60 Resetting weight limit to 13 after 1420 givens.
% 35.43/35.60
% 35.77/35.98
% 35.77/35.98
% 35.77/35.98 Changing weight limit from 13 to 11.
% 35.77/35.98
% 35.77/35.98 Resetting weight limit to 11 after 1555 givens.
% 35.77/35.98
% 35.84/36.02
% 35.84/36.02
% 35.84/36.02 Changing weight limit from 11 to 10.
% 35.84/36.02
% 35.84/36.02 Resetting weight limit to 10 after 1580 givens.
% 35.84/36.02
% 37.12/37.34
% 37.12/37.34
% 37.12/37.34 Changing weight limit from 10 to 9.
% 37.12/37.34
% 37.12/37.34 Resetting weight limit to 9 after 2165 givens.
% 37.12/37.34
% 37.50/37.67
% 37.50/37.67
% 37.50/37.67 Changing weight limit from 9 to 5.
% 37.50/37.67
% 37.50/37.67 Resetting weight limit to 5 after 2320 givens.
% 37.50/37.67
% 38.87/39.08
% 38.87/39.08
% 38.87/39.08 Changing weight limit from 5 to 6.
% 38.87/39.08
% 38.87/39.08 Resetting weight limit to 6 after 4480 givens.
% 38.87/39.08
% 38.87/39.08
% 38.87/39.08
% 38.87/39.08 Changing weight limit from 6 to 7.
% 38.87/39.08
% 38.87/39.08 Resetting weight limit to 7 after 4485 givens.
% 38.87/39.08
% 38.87/39.08
% 38.87/39.08
% 38.87/39.08 Changing weight limit from 7 to 8.
% 38.87/39.08
% 38.87/39.08 Resetting weight limit to 8 after 4490 givens.
% 38.87/39.08
% 38.87/39.08
% 38.87/39.08
% 38.87/39.08 Changing weight limit from 8 to 9.
% 38.87/39.08
% 38.87/39.08 Resetting weight limit to 9 after 4495 givens.
% 38.87/39.08
% 38.87/39.09
% 38.87/39.09
% 38.87/39.09 Changing weight limit from 9 to 10.
% 38.87/39.09
% 38.87/39.09 Resetting weight limit to 10 after 4500 givens.
% 38.87/39.09
% 38.87/39.09
% 38.87/39.09
% 38.87/39.09 Changing weight limit from 10 to 11.
% 38.87/39.09
% 38.87/39.09 Resetting weight limit to 11 after 4505 givens.
% 38.87/39.09
% 38.87/39.09
% 38.87/39.09
% 38.87/39.09 Changing weight limit from 11 to 12.
% 38.87/39.09
% 38.87/39.09 Resetting weight limit to 12 after 4510 givens.
% 38.87/39.09
% 38.87/39.09
% 38.87/39.09
% 38.87/39.09 Changing weight limit from 12 to 13.
% 38.87/39.09
% 38.87/39.09 Resetting weight limit to 13 after 4515 givens.
% 38.87/39.09
% 38.87/39.10
% 38.87/39.10
% 38.87/39.10 Changing weight limit from 13 to 14.
% 38.87/39.10
% 38.87/39.10 Resetting weight limit to 14 after 4520 givens.
% 38.87/39.10
% 38.87/39.10
% 38.87/39.10
% 38.87/39.10 Changing weight limit from 14 to 15.
% 38.87/39.10
% 38.87/39.10 Resetting weight limit to 15 after 4525 givens.
% 38.87/39.10
% 38.87/39.10
% 38.87/39.10
% 38.87/39.10 Changing weight limit from 15 to 16.
% 38.87/39.10
% 38.87/39.10 Resetting weight limit to 16 after 4530 givens.
% 38.87/39.10
% 38.87/39.11
% 38.87/39.11
% 38.87/39.11 Changing weight limit from 16 to 17.
% 38.87/39.11
% 38.87/39.11 Resetting weight limit to 17 after 4535 givens.
% 38.87/39.11
% 38.87/39.11
% 38.87/39.11
% 38.87/39.11 Changing weight limit from 17 to 18.
% 38.87/39.11
% 38.87/39.11 Resetting weight limit to 18 after 4540 givens.
% 38.87/39.11
% 38.94/39.11
% 38.94/39.11
% 38.94/39.11 Changing weight limit from 18 to 19.
% 38.94/39.11
% 38.94/39.11 Resetting weight limit to 19 after 4545 givens.
% 38.94/39.11
% 38.94/39.11
% 38.94/39.11
% 38.94/39.11 Changing weight limit from 19 to 20.
% 38.94/39.11
% 38.94/39.11 Resetting weight limit to 20 after 4550 givens.
% 38.94/39.11
% 38.94/39.12
% 38.94/39.12
% 38.94/39.12 Changing weight limit from 20 to 21.
% 38.94/39.12
% 38.94/39.12 Resetting weight limit to 21 after 4555 givens.
% 38.94/39.12
% 38.94/39.12
% 38.94/39.12
% 38.94/39.12 Changing weight limit from 21 to 22.
% 38.94/39.12
% 38.94/39.12 Resetting weight limit to 22 after 4560 givens.
% 38.94/39.12
% 38.94/39.12
% 38.94/39.12
% 38.94/39.12 Changing weight limit from 22 to 23.
% 38.94/39.12
% 38.94/39.12 Resetting weight limit to 23 after 4565 givens.
% 38.94/39.12
% 38.94/39.13
% 38.94/39.13
% 38.94/39.13 Changing weight limit from 23 to 24.
% 38.94/39.13
% 38.94/39.13 Resetting weight limit to 24 after 4570 givens.
% 38.94/39.13
% 38.94/39.13
% 38.94/39.13
% 38.94/39.13 Changing weight limit from 24 to 25.
% 38.94/39.13
% 38.94/39.13 Resetting weight limit to 25 after 4575 givens.
% 38.94/39.13
% 38.94/39.13
% 38.94/39.13
% 38.94/39.13 Changing weight limit from 25 to 26.
% 38.94/39.13
% 38.94/39.13 Resetting weight limit to 26 after 4580 givens.
% 38.94/39.13
% 38.94/39.14
% 38.94/39.14
% 38.94/39.14 Changing weight limit from 26 to 27.
% 38.94/39.14
% 38.94/39.14 Resetting weight limit to 27 after 4585 givens.
% 38.94/39.14
% 38.94/39.14
% 38.94/39.14
% 38.94/39.14 Changing weight limit from 27 to 28.
% 38.94/39.14
% 38.94/39.14 Resetting weight limit to 28 after 4590 givens.
% 38.94/39.14
% 38.94/39.14
% 38.94/39.14
% 38.94/39.14 Changing weight limit from 28 to 29.
% 38.94/39.14
% 38.94/39.14 Resetting weight limit to 29 after 4595 givens.
% 38.94/39.14
% 38.94/39.15
% 38.94/39.15
% 38.94/39.15 Changing weight limit from 29 to 30.
% 38.94/39.15
% 38.94/39.15 Resetting weight limit to 30 after 4600 givens.
% 38.94/39.15
% 51.64/51.87
% 51.64/51.87
% 51.64/51.87 Changing weight limit from 30 to 15.
% 51.64/51.87
% 51.64/51.87 Resetting weight limit to 15 after 7560 givens.
% 51.64/51.87
% 51.64/51.89
% 51.64/51.89
% 51.64/51.89 Changing weight limit from 15 to 13.
% 51.64/51.89
% 51.64/51.89 Resetting weight limit to 13 after 7570 givens.
% 51.64/51.89
% 51.64/51.89
% 51.64/51.89
% 51.64/51.89 Changing weight limit from 13 to 9.
% 51.64/51.89
% 51.64/51.89 Resetting weight limit to 9 after 7575 givens.
% 51.64/51.89
% 60.02/60.20
% 60.02/60.20
% 60.02/60.20 Changing weight limit from 9 to 8.
% 60.02/60.20
% 60.02/60.20 Resetting weight limit to 8 after 11315 givens.
% 60.02/60.20
% 60.45/60.68
% 60.45/60.68
% 60.45/60.68 Changing weight limit from 8 to 7.
% 60.45/60.68
% 60.45/60.68 Resetting weight limit to 7 after 11415 givens.
% 60.45/60.68
% 60.52/60.69
% 60.52/60.69
% 60.52/60.69 Changing weight limit from 7 to 5.
% 60.52/60.69
% 60.52/60.69 Resetting weight limit to 5 after 11420 givens.
% 60.52/60.69
% 78.96/79.22
% 78.96/79.22 -- HEY sandbox2, WE HAVE A PROOF!! --
% 78.96/79.22
% 78.96/79.22 ----> UNIT CONFLICT at 77.79 sec ----> 139122 [binary,139121.1,113.1] {-} $F.
% 78.96/79.22
% 78.96/79.22 Length of proof is 72. Level of proof is 16.
% 78.96/79.22
% 78.96/79.22 ---------------- PROOF ----------------
% 78.96/79.22 % SZS status Theorem
% 78.96/79.22 % SZS output start Refutation
% 78.96/79.22
% 78.96/79.22 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 78.96/79.22 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 78.96/79.22 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 78.96/79.22 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 78.96/79.22 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 78.96/79.22 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 78.96/79.22 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 78.96/79.22 16 [] {+} -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 78.96/79.22 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 78.96/79.22 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 78.96/79.22 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 78.96/79.22 44 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -cyclic(A,B,C,F)| -eqangle(C,A,C,B,F,D,F,E)|cong(A,B,D,E).
% 78.96/79.22 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 78.96/79.22 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 78.96/79.22 99 [] {+} -circle(A,B,C,D)|perp($f12(B,C,D,A),B,B,A).
% 78.96/79.22 113 [] {+} -para($c18,$c17,$c14,$c13).
% 78.96/79.22 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 78.96/79.22 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 78.96/79.22 159 [] {-} circle($c22,$c21,$c12,$c11).
% 78.96/79.22 165 [] {-} coll($c19,$c18,$c16).
% 78.96/79.22 167 [] {-} coll($c21,$c17,$c15).
% 78.96/79.22 169 [] {-} coll($c19,$c15,$c14).
% 78.96/79.22 171 [] {-} coll($c21,$c16,$c13).
% 78.96/79.22 174 [hyper,159,99] {-} perp($f12($c21,$c12,$c11,$c22),$c21,$c21,$c22).
% 78.96/79.22 192 [hyper,165,2] {-} coll($c18,$c19,$c16).
% 78.96/79.22 206 [hyper,167,114] {-} coll($c15,$c15,$c21).
% 78.96/79.22 207 [hyper,167,2] {-} coll($c17,$c21,$c15).
% 78.96/79.22 222 [hyper,169,2] {-} coll($c15,$c19,$c14).
% 78.96/79.22 253 [hyper,171,114] {-} coll($c13,$c13,$c21).
% 78.96/79.22 255 [hyper,171,1] {-} coll($c21,$c13,$c16).
% 78.96/79.22 282 [hyper,192,114] {-} coll($c16,$c16,$c18).
% 78.96/79.22 342 [hyper,207,1] {-} coll($c17,$c15,$c21).
% 78.96/79.22 400 [hyper,222,114] {-} coll($c14,$c14,$c15).
% 78.96/79.22 428 [hyper,253,114] {-} coll($c21,$c21,$c13).
% 78.96/79.22 473 [hyper,255,114] {-} coll($c16,$c16,$c21).
% 78.96/79.22 643 [hyper,342,114] {-} coll($c21,$c21,$c17).
% 78.96/79.22 729 [hyper,400,114] {-} coll($c15,$c15,$c14).
% 78.96/79.22 878 [hyper,473,3,282] {-} coll($c18,$c21,$c16).
% 78.96/79.22 895 [hyper,174,8] {-} perp($c21,$c22,$f12($c21,$c12,$c11,$c22),$c21).
% 78.96/79.22 1810 [hyper,729,3,206] {-} coll($c14,$c21,$c15).
% 78.96/79.22 2342 [hyper,878,1] {-} coll($c18,$c16,$c21).
% 78.96/79.22 3329 [hyper,1810,1] {-} coll($c14,$c15,$c21).
% 78.96/79.22 3940 [hyper,2342,114] {-} coll($c21,$c21,$c18).
% 78.96/79.22 4601 [hyper,3329,114] {-} coll($c21,$c21,$c14).
% 78.96/79.22 9808 [hyper,895,9,174] {-} para($c21,$c22,$c21,$c22).
% 78.96/79.22 9810 [hyper,9808,67] {-} coll($c21,$c22,$c22).
% 78.96/79.22 9811 [hyper,9808,40] {-} eqangle($c21,$c22,A,B,$c21,$c22,A,B).
% 78.96/79.22 9821 [hyper,9810,114] {-} coll($c22,$c22,$c21).
% 78.96/79.22 9836 [hyper,9821,114] {-} coll($c21,$c21,$c22).
% 78.96/79.22 19871 [hyper,9811,43,9836] {-} cyclic($c22,$c22,$c21,$c21).
% 78.96/79.22 19872 [hyper,9811,43,4601] {-} cyclic($c22,$c14,$c21,$c21).
% 78.96/79.22 19873 [hyper,9811,43,3940] {-} cyclic($c22,$c18,$c21,$c21).
% 78.96/79.22 19877 [hyper,9811,43,643] {-} cyclic($c22,$c17,$c21,$c21).
% 78.96/79.22 19878 [hyper,9811,43,428] {-} cyclic($c22,$c13,$c21,$c21).
% 78.96/79.22 19885 [hyper,19871,15] {-} cyclic($c22,$c21,$c22,$c21).
% 78.96/79.22 19888 [hyper,19872,15] {-} cyclic($c22,$c21,$c14,$c21).
% 78.96/79.22 19892 [hyper,19873,15] {-} cyclic($c22,$c21,$c18,$c21).
% 78.96/79.22 19905 [hyper,19877,15] {-} cyclic($c22,$c21,$c17,$c21).
% 78.96/79.22 19908 [hyper,19878,15] {-} cyclic($c22,$c21,$c13,$c21).
% 78.96/79.22 19920 [hyper,19885,16] {-} cyclic($c21,$c22,$c22,$c21).
% 78.96/79.22 19928 [hyper,19888,16] {-} cyclic($c21,$c22,$c14,$c21).
% 78.96/79.22 19936 [hyper,19892,16] {-} cyclic($c21,$c22,$c18,$c21).
% 78.96/79.22 19960 [hyper,19905,16] {-} cyclic($c21,$c22,$c17,$c21).
% 78.96/79.22 19969 [hyper,19908,16] {-} cyclic($c21,$c22,$c13,$c21).
% 78.96/79.22 19995 [hyper,19920,14] {-} cyclic($c21,$c22,$c21,$c22).
% 78.96/79.22 20012 [hyper,19928,14] {-} cyclic($c21,$c22,$c21,$c14).
% 78.96/79.22 20049 [hyper,19936,14] {-} cyclic($c21,$c22,$c21,$c18).
% 78.96/79.22 20129 [hyper,19960,14] {-} cyclic($c21,$c22,$c21,$c17).
% 78.96/79.22 20153 [hyper,19969,14] {-} cyclic($c21,$c22,$c21,$c13).
% 78.96/79.22 20834 [hyper,20012,120] {-} cyclic($c22,$c21,$c14,$c14).
% 78.96/79.22 20838 [hyper,20012,17,19995] {-} cyclic($c22,$c21,$c14,$c22).
% 78.96/79.22 20881 [hyper,20049,120] {-} cyclic($c22,$c21,$c18,$c18).
% 78.96/79.22 20887 [hyper,20049,17,19995] {-} cyclic($c22,$c21,$c18,$c22).
% 78.96/79.22 21214 [hyper,20129,120] {-} cyclic($c22,$c21,$c17,$c17).
% 78.96/79.22 21226 [hyper,20129,17,19995] {-} cyclic($c22,$c21,$c17,$c22).
% 78.96/79.22 21426 [hyper,20153,120] {-} cyclic($c22,$c21,$c13,$c13).
% 78.96/79.22 21440 [hyper,20153,17,19995] {-} cyclic($c22,$c21,$c13,$c22).
% 78.96/79.22 25841 [hyper,20834,15] {-} cyclic($c22,$c14,$c21,$c14).
% 78.96/79.22 25847 [hyper,20838,15] {-} cyclic($c22,$c14,$c21,$c22).
% 78.96/79.22 26091 [hyper,20881,15] {-} cyclic($c22,$c18,$c21,$c18).
% 78.96/79.22 26125 [hyper,20887,15] {-} cyclic($c22,$c18,$c21,$c22).
% 78.96/79.22 28933 [hyper,21214,15] {-} cyclic($c22,$c17,$c21,$c17).
% 78.96/79.22 28961 [hyper,21226,15] {-} cyclic($c22,$c17,$c21,$c22).
% 78.96/79.22 31057 [hyper,21426,15] {-} cyclic($c22,$c13,$c21,$c13).
% 78.96/79.22 31095 [hyper,21440,15] {-} cyclic($c22,$c13,$c21,$c22).
% 78.96/79.22 37362 [hyper,25847,44,25841,19872,9811] {-} cong($c22,$c14,$c22,$c14).
% 78.96/79.22 37363 [hyper,26125,44,26091,19873,9811] {-} cong($c22,$c18,$c22,$c18).
% 78.96/79.22 39000 [hyper,28961,44,28933,19877,9811] {-} cong($c22,$c17,$c22,$c17).
% 78.96/79.22 52657 [hyper,31095,44,31057,19878,9811] {-} cong($c22,$c13,$c22,$c13).
% 78.96/79.22 73217 [hyper,39000,57,37363] {-} perp($c22,$c22,$c18,$c17).
% 78.96/79.22 73572 [hyper,52657,57,37362] {-} perp($c22,$c22,$c14,$c13).
% 78.96/79.22 115061 [hyper,73217,8] {-} perp($c18,$c17,$c22,$c22).
% 78.96/79.22 139121 [hyper,115061,9,73572] {-} para($c18,$c17,$c14,$c13).
% 78.96/79.22 139122 [binary,139121.1,113.1] {-} $F.
% 78.96/79.22
% 78.96/79.22 % SZS output end Refutation
% 78.96/79.22 ------------ end of proof -------------
% 78.96/79.22
% 78.96/79.22
% 78.96/79.22 Search stopped by max_proofs option.
% 78.96/79.22
% 78.96/79.22
% 78.96/79.22 Search stopped by max_proofs option.
% 78.96/79.22
% 78.96/79.22 ============ end of search ============
% 78.96/79.22
% 78.96/79.22 That finishes the proof of the theorem.
% 78.96/79.22
% 78.96/79.22 Process 2734 finished Sat Jun 18 02:40:41 2022
%------------------------------------------------------------------------------