TSTP Solution File: GEO609+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO609+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n012.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 06:21:08 EDT 2022
% Result : Theorem 32.20s 32.37s
% Output : Refutation 32.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO609+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.14 % Command : sos-script %s
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 04:19:08 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.39 ----- Otter 3.2, August 2001 -----
% 0.14/0.39 The process was started by sandbox on n012.cluster.edu,
% 0.14/0.39 Sat Jun 18 04:19:08 2022
% 0.14/0.39 The command was "./sos". The process ID is 19627.
% 0.14/0.39
% 0.14/0.39 set(prolog_style_variables).
% 0.14/0.39 set(auto).
% 0.14/0.39 dependent: set(auto1).
% 0.14/0.39 dependent: set(process_input).
% 0.14/0.39 dependent: clear(print_kept).
% 0.14/0.39 dependent: clear(print_new_demod).
% 0.14/0.39 dependent: clear(print_back_demod).
% 0.14/0.39 dependent: clear(print_back_sub).
% 0.14/0.39 dependent: set(control_memory).
% 0.14/0.39 dependent: assign(max_mem, 12000).
% 0.14/0.39 dependent: assign(pick_given_ratio, 4).
% 0.14/0.39 dependent: assign(stats_level, 1).
% 0.14/0.39 dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.39 dependent: assign(sos_limit, 5000).
% 0.14/0.39 dependent: assign(max_weight, 60).
% 0.14/0.39 clear(print_given).
% 0.14/0.39
% 0.14/0.39 formula_list(usable).
% 0.14/0.39
% 0.14/0.39 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.14/0.39
% 0.14/0.39 This ia a non-Horn set with equality. The strategy will be
% 0.14/0.39 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.14/0.39 unit deletion, with positive clauses in sos and nonpositive
% 0.14/0.39 clauses in usable.
% 0.14/0.39
% 0.14/0.39 dependent: set(knuth_bendix).
% 0.14/0.39 dependent: set(para_from).
% 0.14/0.39 dependent: set(para_into).
% 0.14/0.39 dependent: clear(para_from_right).
% 0.14/0.39 dependent: clear(para_into_right).
% 0.14/0.39 dependent: set(para_from_vars).
% 0.14/0.39 dependent: set(eq_units_both_ways).
% 0.14/0.39 dependent: set(dynamic_demod_all).
% 0.14/0.39 dependent: set(dynamic_demod).
% 0.14/0.39 dependent: set(order_eq).
% 0.14/0.39 dependent: set(back_demod).
% 0.14/0.39 dependent: set(lrpo).
% 0.14/0.39 dependent: set(hyper_res).
% 0.14/0.39 dependent: set(unit_deletion).
% 0.14/0.39 dependent: set(factor).
% 0.14/0.39
% 0.14/0.39 ------------> process usable:
% 0.14/0.39 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).
% 0.14/0.39
% 0.14/0.39 ------------> process sos:
% 0.14/0.39 Following clause subsumed by 166 during input processing: 0 [copy,166,flip.1] {-} A=A.
% 0.14/0.39 166 back subsumes 146.
% 0.14/0.39 166 back subsumes 145.
% 0.14/0.39 166 back subsumes 144.
% 0.14/0.39 166 back subsumes 143.
% 0.14/0.39
% 0.14/0.39 ======= end of input processing =======
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 Failed to model usable list: disabling FINDER
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 -------------- Softie stats --------------
% 0.22/0.46
% 0.22/0.46 UPDATE_STOP: 300
% 0.22/0.46 SFINDER_TIME_LIMIT: 2
% 0.22/0.46 SHORT_CLAUSE_CUTOFF: 4
% 0.22/0.46 number of clauses in intial UL: 154
% 0.22/0.46 number of clauses initially in problem: 162
% 0.22/0.46 percentage of clauses intially in UL: 95
% 0.22/0.46 percentage of distinct symbols occuring in initial UL: 90
% 0.22/0.46 percent of all initial clauses that are short: 100
% 0.22/0.46 absolute distinct symbol count: 40
% 0.22/0.46 distinct predicate count: 12
% 0.22/0.46 distinct function count: 20
% 0.22/0.46 distinct constant count: 8
% 0.22/0.46
% 0.22/0.46 ---------- no more Softie stats ----------
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 =========== start of search ===========
% 7.07/7.25
% 7.07/7.25
% 7.07/7.25 Changing weight limit from 60 to 57.
% 7.07/7.25
% 7.07/7.25 Resetting weight limit to 57 after 240 givens.
% 7.07/7.25
% 7.93/8.11
% 7.93/8.11
% 7.93/8.11 Changing weight limit from 57 to 56.
% 7.93/8.11
% 7.93/8.11 Resetting weight limit to 56 after 245 givens.
% 7.93/8.11
% 10.65/10.88
% 10.65/10.88
% 10.65/10.88 Changing weight limit from 56 to 55.
% 10.65/10.88
% 10.65/10.88 Resetting weight limit to 55 after 260 givens.
% 10.65/10.88
% 12.90/13.08
% 12.90/13.08
% 12.90/13.08 Changing weight limit from 55 to 54.
% 12.90/13.08
% 12.90/13.08 Resetting weight limit to 54 after 280 givens.
% 12.90/13.08
% 14.31/14.49
% 14.31/14.49
% 14.31/14.49 Changing weight limit from 54 to 52.
% 14.31/14.49
% 14.31/14.49 Resetting weight limit to 52 after 285 givens.
% 14.31/14.49
% 15.71/15.93
% 15.71/15.93
% 15.71/15.93 Changing weight limit from 52 to 51.
% 15.71/15.93
% 15.71/15.93 Resetting weight limit to 51 after 290 givens.
% 15.71/15.93
% 17.45/17.69
% 17.45/17.69
% 17.45/17.69 Changing weight limit from 51 to 50.
% 17.45/17.69
% 17.45/17.69 Resetting weight limit to 50 after 295 givens.
% 17.45/17.69
% 19.61/19.78
% 19.61/19.78
% 19.61/19.78 Changing weight limit from 50 to 49.
% 19.61/19.78
% 19.61/19.78 Modelling stopped after 300 given clauses and 0.00 seconds
% 19.61/19.78
% 19.61/19.78
% 19.61/19.78 Resetting weight limit to 49 after 305 givens.
% 19.61/19.78
% 20.63/20.81
% 20.63/20.81
% 20.63/20.81 Changing weight limit from 49 to 45.
% 20.63/20.81
% 20.63/20.81 Resetting weight limit to 45 after 310 givens.
% 20.63/20.81
% 21.05/21.29
% 21.05/21.29
% 21.05/21.29 Changing weight limit from 45 to 31.
% 21.05/21.29
% 21.05/21.29 Resetting weight limit to 31 after 315 givens.
% 21.05/21.29
% 21.37/21.59
% 21.37/21.59
% 21.37/21.59 Changing weight limit from 31 to 30.
% 21.37/21.59
% 21.37/21.59 Resetting weight limit to 30 after 320 givens.
% 21.37/21.59
% 23.33/23.52
% 23.33/23.52
% 23.33/23.52 Changing weight limit from 30 to 29.
% 23.33/23.52
% 23.33/23.52 Resetting weight limit to 29 after 410 givens.
% 23.33/23.52
% 24.07/24.30
% 24.07/24.30
% 24.07/24.30 Changing weight limit from 29 to 13.
% 24.07/24.30
% 24.07/24.30 Resetting weight limit to 13 after 515 givens.
% 24.07/24.30
% 24.07/24.31
% 24.07/24.31
% 24.07/24.31 Changing weight limit from 13 to 10.
% 24.07/24.31
% 24.07/24.31 Resetting weight limit to 10 after 520 givens.
% 24.07/24.31
% 25.81/26.02
% 25.81/26.02
% 25.81/26.02 Changing weight limit from 10 to 9.
% 25.81/26.02
% 25.81/26.02 Resetting weight limit to 9 after 1125 givens.
% 25.81/26.02
% 30.61/30.84
% 30.61/30.84
% 30.61/30.84 Changing weight limit from 9 to 8.
% 30.61/30.84
% 30.61/30.84 Resetting weight limit to 8 after 2825 givens.
% 30.61/30.84
% 32.00/32.18
% 32.00/32.18
% 32.00/32.18 Changing weight limit from 8 to 5.
% 32.00/32.18
% 32.00/32.18 Resetting weight limit to 5 after 3345 givens.
% 32.00/32.18
% 32.20/32.37
% 32.20/32.37 -- HEY sandbox, WE HAVE A PROOF!! --
% 32.20/32.37
% 32.20/32.37 ----> UNIT CONFLICT at 31.70 sec ----> 89330 [binary,89329.1,113.1] {-} $F.
% 32.20/32.37
% 32.20/32.37 Length of proof is 122. Level of proof is 22.
% 32.20/32.37
% 32.20/32.37 ---------------- PROOF ----------------
% 32.20/32.37 % SZS status Theorem
% 32.20/32.37 % SZS output start Refutation
% 32.20/32.37
% 32.20/32.37 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 32.20/32.37 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 32.20/32.37 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 32.20/32.37 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 32.20/32.37 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 32.20/32.37 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 32.20/32.37 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 32.20/32.37 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 32.20/32.37 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 32.20/32.37 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 32.20/32.37 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 32.20/32.37 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 32.20/32.37 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 32.20/32.37 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 32.20/32.37 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 32.20/32.37 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 32.20/32.37 44 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -cyclic(A,B,C,F)| -eqangle(C,A,C,B,F,D,F,E)|cong(A,B,D,E).
% 32.20/32.37 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 32.20/32.37 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 32.20/32.37 56 [] {+} -midp(A,B,C)| -perp(D,A,B,C)|cong(D,B,D,C).
% 32.20/32.37 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 32.20/32.37 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 32.20/32.37 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 32.20/32.37 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 32.20/32.37 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 32.20/32.37 99 [] {+} -circle(A,B,C,D)|perp($f12(B,C,D,A),B,B,A).
% 32.20/32.37 113 [] {+} -para($c3,$c2,$c8,$c5).
% 32.20/32.37 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 32.20/32.37 123 [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).
% 32.20/32.37 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 32.20/32.37 159 [] {-} circle($c5,$c8,$c7,$c6).
% 32.20/32.37 160 [] {-} para($c7,$c6,$c4,$c8).
% 32.20/32.37 162 [] {-} perp($c3,$c4,$c8,$c7).
% 32.20/32.37 163 [] {-} coll($c3,$c8,$c7).
% 32.20/32.37 164 [] {-} perp($c2,$c4,$c8,$c6).
% 32.20/32.37 165 [] {-} coll($c2,$c8,$c6).
% 32.20/32.37 167 [hyper,159,99] {-} perp($f12($c8,$c7,$c6,$c5),$c8,$c8,$c5).
% 32.20/32.37 184 [hyper,163,114] {-} coll($c7,$c7,$c3).
% 32.20/32.37 185 [hyper,163,2] {-} coll($c8,$c3,$c7).
% 32.20/32.37 200 [hyper,165,2] {-} coll($c8,$c2,$c6).
% 32.20/32.37 201 [hyper,165,1] {-} coll($c2,$c6,$c8).
% 32.20/32.37 215 [hyper,184,1] {-} coll($c7,$c3,$c7).
% 32.20/32.37 229 [hyper,160,5] {-} para($c4,$c8,$c7,$c6).
% 32.20/32.37 230 [hyper,160,4] {-} para($c7,$c6,$c8,$c4).
% 32.20/32.37 247 [hyper,185,114] {-} coll($c7,$c7,$c8).
% 32.20/32.37 289 [hyper,200,114] {-} coll($c6,$c6,$c8).
% 32.20/32.37 320 [hyper,201,114] {-} coll($c8,$c8,$c2).
% 32.20/32.37 347 [hyper,215,114] {-} coll($c7,$c7,$c7).
% 32.20/32.37 361 [hyper,247,114] {-} coll($c8,$c8,$c7).
% 32.20/32.37 362 [hyper,247,1] {-} coll($c7,$c8,$c7).
% 32.20/32.37 375 [hyper,162,8] {-} perp($c8,$c7,$c3,$c4).
% 32.20/32.37 376 [hyper,162,7] {-} perp($c3,$c4,$c7,$c8).
% 32.20/32.37 446 [hyper,164,8] {-} perp($c8,$c6,$c2,$c4).
% 32.20/32.37 447 [hyper,164,7] {-} perp($c2,$c4,$c6,$c8).
% 32.20/32.37 478 [hyper,289,114] {-} coll($c8,$c8,$c6).
% 32.20/32.37 479 [hyper,289,1] {-} coll($c6,$c8,$c6).
% 32.20/32.37 521 [hyper,167,8] {-} perp($c8,$c5,$f12($c8,$c7,$c6,$c5),$c8).
% 32.20/32.37 1026 [hyper,478,3,361] {-} coll($c7,$c6,$c8).
% 32.20/32.37 1028 [hyper,478,3,361] {-} coll($c6,$c7,$c8).
% 32.20/32.37 1030 [hyper,478,1] {-} coll($c8,$c6,$c8).
% 32.20/32.37 1721 [hyper,1026,1] {-} coll($c7,$c8,$c6).
% 32.20/32.37 1807 [hyper,1028,1] {-} coll($c6,$c8,$c7).
% 32.20/32.37 2070 [hyper,1721,3,362] {-} coll($c6,$c7,$c7).
% 32.20/32.37 2071 [hyper,1721,2] {-} coll($c8,$c7,$c6).
% 32.20/32.37 2165 [hyper,1807,114] {-} coll($c7,$c7,$c6).
% 32.20/32.37 3534 [hyper,229,6,160] {-} para($c7,$c6,$c7,$c6).
% 32.20/32.37 3535 [hyper,229,6,160] {-} para($c4,$c8,$c4,$c8).
% 32.20/32.37 3555 [hyper,230,5] {-} para($c8,$c4,$c7,$c6).
% 32.20/32.37 3614 [hyper,375,7] {-} perp($c8,$c7,$c4,$c3).
% 32.20/32.37 3632 [hyper,376,8] {-} perp($c7,$c8,$c3,$c4).
% 32.20/32.37 3651 [hyper,446,7] {-} perp($c8,$c6,$c4,$c2).
% 32.20/32.37 3668 [hyper,447,9,446] {-} para($c8,$c6,$c6,$c8).
% 32.20/32.37 3669 [hyper,447,8] {-} perp($c6,$c8,$c2,$c4).
% 32.20/32.37 3781 [hyper,3534,40] {-} eqangle($c7,$c6,A,B,$c7,$c6,A,B).
% 32.20/32.37 3782 [hyper,3534,4] {-} para($c7,$c6,$c6,$c7).
% 32.20/32.37 3799 [hyper,3535,67] {-} coll($c4,$c8,$c8).
% 32.20/32.37 3817 [hyper,3799,114] {-} coll($c8,$c8,$c4).
% 32.20/32.37 3833 [hyper,3817,3,361] {-} coll($c7,$c4,$c8).
% 32.20/32.37 3836 [hyper,3817,3,478] {-} coll($c4,$c6,$c8).
% 32.20/32.37 3837 [hyper,3817,3,361] {-} coll($c4,$c7,$c8).
% 32.20/32.37 3946 [hyper,3833,1] {-} coll($c7,$c8,$c4).
% 32.20/32.37 4043 [hyper,3836,1] {-} coll($c4,$c8,$c6).
% 32.20/32.37 4056 [hyper,3837,1] {-} coll($c4,$c8,$c7).
% 32.20/32.37 4255 [hyper,3946,3,362] {-} coll($c4,$c7,$c7).
% 32.20/32.37 6691 [hyper,3555,6,230] {-} para($c8,$c4,$c8,$c4).
% 32.20/32.37 6692 [hyper,3555,4] {-} para($c8,$c4,$c6,$c7).
% 32.20/32.37 6900 [hyper,3614,8] {-} perp($c4,$c3,$c8,$c7).
% 32.20/32.37 7032 [hyper,3632,9,376] {-} para($c7,$c8,$c7,$c8).
% 32.20/32.37 7241 [hyper,3651,8] {-} perp($c4,$c2,$c8,$c6).
% 32.20/32.37 7337 [hyper,3668,5] {-} para($c6,$c8,$c8,$c6).
% 32.20/32.37 7354 [hyper,3669,9,447] {-} para($c6,$c8,$c6,$c8).
% 32.20/32.37 7451 [hyper,3782,5] {-} para($c6,$c7,$c7,$c6).
% 32.20/32.37 8265 [hyper,7241,9,3651] {-} para($c4,$c2,$c4,$c2).
% 32.20/32.37 9134 [hyper,521,9,167] {-} para($c8,$c5,$c8,$c5).
% 32.20/32.37 9136 [hyper,9134,67] {-} coll($c8,$c5,$c5).
% 32.20/32.37 9147 [hyper,9136,114] {-} coll($c5,$c5,$c8).
% 32.20/32.37 9149 [hyper,9136,2] {-} coll($c5,$c8,$c5).
% 32.20/32.37 9162 [hyper,9147,114] {-} coll($c8,$c8,$c5).
% 32.20/32.37 9202 [hyper,9162,3,478] {-} coll($c6,$c5,$c8).
% 32.20/32.37 9208 [hyper,9162,3,478] {-} coll($c5,$c6,$c8).
% 32.20/32.37 9210 [hyper,9162,3,320] {-} coll($c5,$c2,$c8).
% 32.20/32.37 9265 [hyper,9202,1] {-} coll($c6,$c8,$c5).
% 32.20/32.37 9431 [hyper,9208,1] {-} coll($c5,$c8,$c6).
% 32.20/32.38 9489 [hyper,9210,1] {-} coll($c5,$c8,$c2).
% 32.20/32.38 9563 [hyper,9265,3,479] {-} coll($c5,$c6,$c6).
% 32.20/32.38 9820 [hyper,9431,54,159] {-} perp($c8,$c7,$c7,$c6).
% 32.20/32.38 9822 [hyper,9431,3,9149] {-} coll($c5,$c6,$c5).
% 32.20/32.38 9922 [hyper,9489,3,9149] {-} coll($c5,$c2,$c5).
% 32.20/32.38 11779 [hyper,9820,9,6900] {-} para($c4,$c3,$c7,$c6).
% 32.20/32.38 11781 [hyper,9820,8] {-} perp($c7,$c6,$c8,$c7).
% 32.20/32.38 12005 [hyper,11779,6,160] {-} para($c4,$c3,$c4,$c8).
% 32.20/32.38 12118 [hyper,11781,10,3555] {-} perp($c8,$c4,$c8,$c7).
% 32.20/32.38 12553 [hyper,12005,5] {-} para($c4,$c8,$c4,$c3).
% 32.20/32.38 15056 [hyper,3781,43,2165] {-} cyclic($c6,$c6,$c7,$c7).
% 32.20/32.38 15058 [hyper,3781,43,347] {-} cyclic($c6,$c7,$c7,$c7).
% 32.20/32.38 15069 [hyper,15056,15] {-} cyclic($c6,$c7,$c6,$c7).
% 32.20/32.38 15113 [hyper,15069,14] {-} cyclic($c6,$c7,$c7,$c6).
% 32.20/32.38 15237 [hyper,15113,123,15058,3781] {-} cong($c6,$c7,$c6,$c7).
% 32.20/32.38 15476 [hyper,15237,68,2070] {-} midp($c6,$c7,$c7).
% 32.20/32.38 15481 [hyper,15476,129,7032] {-} midp($c6,$c8,$c8).
% 32.20/32.38 15482 [hyper,15476,129,3534] {-} midp($c6,$c6,$c6).
% 32.20/32.38 15485 [hyper,15476,46,7451,2165] {-} midp($c7,$c7,$c6).
% 32.20/32.38 15488 [hyper,15481,129,9134] {-} midp($c6,$c5,$c5).
% 32.20/32.38 15489 [hyper,15481,129,6691] {-} midp($c6,$c4,$c4).
% 32.20/32.38 15496 [hyper,15481,46,7337,478] {-} midp($c8,$c8,$c6).
% 32.20/32.38 15506 [hyper,15482,46,7354,1030] {-} midp($c8,$c6,$c8).
% 32.20/32.38 15540 [hyper,15485,56,9820] {-} cong($c8,$c7,$c8,$c6).
% 32.20/32.38 15567 [hyper,15489,129,8265] {-} midp($c6,$c2,$c2).
% 32.20/32.38 15590 [hyper,15489,65,12553,12005] {-} midp($c6,$c8,$c3).
% 32.20/32.38 15591 [hyper,15489,65,12005,12553] {-} midp($c6,$c3,$c8).
% 32.20/32.38 15682 [hyper,15496,46,6692,4056] {-} midp($c4,$c8,$c7).
% 32.20/32.38 15761 [hyper,15506,46,9134,9822] {-} midp($c5,$c6,$c5).
% 32.20/32.38 15810 [hyper,15567,64,15488] {-} para($c2,$c5,$c2,$c5).
% 32.20/32.38 15940 [hyper,15590,64,15482] {-} para($c6,$c8,$c6,$c3).
% 32.20/32.38 16011 [hyper,15591,64,15482] {-} para($c6,$c3,$c6,$c8).
% 32.20/32.38 16241 [hyper,15682,56,12118] {-} cong($c8,$c8,$c8,$c7).
% 32.20/32.38 16321 [hyper,15761,69] {-} cong($c5,$c6,$c5,$c5).
% 32.20/32.38 16322 [hyper,15761,11] {-} midp($c5,$c5,$c6).
% 32.20/32.38 16960 [hyper,16322,69] {-} cong($c5,$c5,$c5,$c6).
% 32.20/32.38 20055 [hyper,15540,68,2071] {-} midp($c8,$c7,$c6).
% 32.20/32.38 20223 [hyper,20055,46,6692,4255] {-} midp($c4,$c7,$c7).
% 32.20/32.38 20419 [hyper,20223,129,7032] {-} midp($c4,$c8,$c8).
% 32.20/32.38 21168 [hyper,20419,129,6691] {-} midp($c4,$c4,$c4).
% 32.20/32.38 22763 [hyper,21168,129,8265] {-} midp($c4,$c2,$c2).
% 32.20/32.38 27071 [hyper,16241,68,361] {-} midp($c8,$c8,$c7).
% 32.20/32.38 27257 [hyper,27071,46,3555,4043] {-} midp($c4,$c8,$c6).
% 32.20/32.38 27797 [hyper,27257,64,22763] {-} para($c8,$c2,$c6,$c2).
% 32.20/32.38 27805 [hyper,27257,56,164] {-} cong($c2,$c8,$c2,$c6).
% 32.20/32.38 34690 [hyper,16960,25,16321] {-} cong($c5,$c6,$c5,$c6).
% 32.20/32.38 55537 [hyper,27805,68,165] {-} midp($c2,$c8,$c6).
% 32.20/32.38 55544 [hyper,55537,129,27797] {-} midp($c2,$c2,$c2).
% 32.20/32.38 57382 [hyper,55544,46,15810,9922] {-} midp($c5,$c2,$c5).
% 32.20/32.38 88086 [hyper,34690,68,9563] {-} midp($c5,$c6,$c6).
% 32.20/32.38 88113 [hyper,88086,65,16011,15940] {-} midp($c5,$c3,$c8).
% 32.20/32.38 89329 [hyper,88113,64,57382] {-} para($c3,$c2,$c8,$c5).
% 32.20/32.38 89330 [binary,89329.1,113.1] {-} $F.
% 32.20/32.38
% 32.20/32.38 % SZS output end Refutation
% 32.20/32.38 ------------ end of proof -------------
% 32.20/32.38
% 32.20/32.38
% 32.20/32.38 Search stopped by max_proofs option.
% 32.20/32.38
% 32.20/32.38
% 32.20/32.38 Search stopped by max_proofs option.
% 32.20/32.38
% 32.20/32.38 ============ end of search ============
% 32.20/32.38
% 32.20/32.38 That finishes the proof of the theorem.
% 32.20/32.38
% 32.20/32.38 Process 19627 finished Sat Jun 18 04:19:40 2022
%------------------------------------------------------------------------------