TSTP Solution File: GEO582+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO582+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n017.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 06:21:00 EDT 2022
% Result : Theorem 29.51s 29.75s
% Output : Refutation 29.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GEO582+1 : TPTP v8.1.0. Released v7.5.0.
% 0.09/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 02:23:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36 ----- Otter 3.2, August 2001 -----
% 0.12/0.36 The process was started by sandbox2 on n017.cluster.edu,
% 0.12/0.36 Sat Jun 18 02:23:27 2022
% 0.12/0.36 The command was "./sos". The process ID is 29721.
% 0.12/0.36
% 0.12/0.36 set(prolog_style_variables).
% 0.12/0.36 set(auto).
% 0.12/0.36 dependent: set(auto1).
% 0.12/0.36 dependent: set(process_input).
% 0.12/0.36 dependent: clear(print_kept).
% 0.12/0.36 dependent: clear(print_new_demod).
% 0.12/0.36 dependent: clear(print_back_demod).
% 0.12/0.36 dependent: clear(print_back_sub).
% 0.12/0.36 dependent: set(control_memory).
% 0.12/0.36 dependent: assign(max_mem, 12000).
% 0.12/0.36 dependent: assign(pick_given_ratio, 4).
% 0.12/0.36 dependent: assign(stats_level, 1).
% 0.12/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36 dependent: assign(sos_limit, 5000).
% 0.12/0.36 dependent: assign(max_weight, 60).
% 0.12/0.36 clear(print_given).
% 0.12/0.36
% 0.12/0.36 formula_list(usable).
% 0.12/0.36
% 0.12/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.12/0.36
% 0.12/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.36 clauses in usable.
% 0.12/0.36
% 0.12/0.36 dependent: set(knuth_bendix).
% 0.12/0.36 dependent: set(para_from).
% 0.12/0.36 dependent: set(para_into).
% 0.12/0.36 dependent: clear(para_from_right).
% 0.12/0.36 dependent: clear(para_into_right).
% 0.12/0.36 dependent: set(para_from_vars).
% 0.12/0.36 dependent: set(eq_units_both_ways).
% 0.12/0.36 dependent: set(dynamic_demod_all).
% 0.12/0.36 dependent: set(dynamic_demod).
% 0.12/0.36 dependent: set(order_eq).
% 0.12/0.36 dependent: set(back_demod).
% 0.12/0.36 dependent: set(lrpo).
% 0.12/0.36 dependent: set(hyper_res).
% 0.12/0.36 dependent: set(unit_deletion).
% 0.12/0.36 dependent: set(factor).
% 0.12/0.36
% 0.12/0.36 ------------> process usable:
% 0.12/0.36 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).
% 0.12/0.36
% 0.12/0.36 ------------> process sos:
% 0.12/0.36 Following clause subsumed by 165 during input processing: 0 [copy,165,flip.1] {-} A=A.
% 0.12/0.36 165 back subsumes 146.
% 0.12/0.36 165 back subsumes 145.
% 0.12/0.36 165 back subsumes 144.
% 0.12/0.36 165 back subsumes 143.
% 0.12/0.36
% 0.12/0.36 ======= end of input processing =======
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 Failed to model usable list: disabling FINDER
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 -------------- Softie stats --------------
% 0.18/0.43
% 0.18/0.43 UPDATE_STOP: 300
% 0.18/0.43 SFINDER_TIME_LIMIT: 2
% 0.18/0.43 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.43 number of clauses in intial UL: 154
% 0.18/0.43 number of clauses initially in problem: 161
% 0.18/0.43 percentage of clauses intially in UL: 95
% 0.18/0.43 percentage of distinct symbols occuring in initial UL: 90
% 0.18/0.43 percent of all initial clauses that are short: 100
% 0.18/0.43 absolute distinct symbol count: 40
% 0.18/0.43 distinct predicate count: 12
% 0.18/0.43 distinct function count: 20
% 0.18/0.43 distinct constant count: 8
% 0.18/0.43
% 0.18/0.43 ---------- no more Softie stats ----------
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 =========== start of search ===========
% 6.93/7.16
% 6.93/7.16
% 6.93/7.16 Changing weight limit from 60 to 57.
% 6.93/7.16
% 6.93/7.16 Resetting weight limit to 57 after 240 givens.
% 6.93/7.16
% 7.84/8.07
% 7.84/8.07
% 7.84/8.07 Changing weight limit from 57 to 56.
% 7.84/8.07
% 7.84/8.07 Resetting weight limit to 56 after 245 givens.
% 7.84/8.07
% 10.73/10.95
% 10.73/10.95
% 10.73/10.95 Changing weight limit from 56 to 55.
% 10.73/10.95
% 10.73/10.95 Resetting weight limit to 55 after 265 givens.
% 10.73/10.95
% 13.53/13.79
% 13.53/13.79
% 13.53/13.79 Changing weight limit from 55 to 52.
% 13.53/13.79
% 13.53/13.79 Resetting weight limit to 52 after 285 givens.
% 13.53/13.79
% 15.43/15.64
% 15.43/15.64
% 15.43/15.64 Changing weight limit from 52 to 51.
% 15.43/15.64
% 15.43/15.64 Resetting weight limit to 51 after 290 givens.
% 15.43/15.64
% 17.73/17.92
% 17.73/17.92
% 17.73/17.92 Changing weight limit from 51 to 50.
% 17.73/17.92
% 17.73/17.92 Resetting weight limit to 50 after 295 givens.
% 17.73/17.92
% 19.72/19.99
% 19.72/19.99
% 19.72/19.99 Changing weight limit from 50 to 49.
% 19.72/19.99
% 19.72/19.99 Modelling stopped after 300 given clauses and 0.00 seconds
% 19.72/19.99
% 19.72/19.99
% 19.72/19.99 Resetting weight limit to 49 after 305 givens.
% 19.72/19.99
% 20.52/20.73
% 20.52/20.73
% 20.52/20.73 Changing weight limit from 49 to 46.
% 20.52/20.73
% 20.52/20.73 Resetting weight limit to 46 after 310 givens.
% 20.52/20.73
% 21.20/21.43
% 21.20/21.43
% 21.20/21.43 Changing weight limit from 46 to 45.
% 21.20/21.43
% 21.20/21.43 Resetting weight limit to 45 after 315 givens.
% 21.20/21.43
% 21.62/21.82
% 21.62/21.82
% 21.62/21.82 Changing weight limit from 45 to 34.
% 21.62/21.82
% 21.62/21.82 Resetting weight limit to 34 after 320 givens.
% 21.62/21.82
% 21.74/21.95
% 21.74/21.95
% 21.74/21.95 Changing weight limit from 34 to 33.
% 21.74/21.95
% 21.74/21.95 Resetting weight limit to 33 after 325 givens.
% 21.74/21.95
% 21.74/21.99
% 21.74/21.99
% 21.74/21.99 Changing weight limit from 33 to 31.
% 21.74/21.99
% 21.74/21.99 Resetting weight limit to 31 after 330 givens.
% 21.74/21.99
% 21.95/22.22
% 21.95/22.22
% 21.95/22.22 Changing weight limit from 31 to 30.
% 21.95/22.22
% 21.95/22.22 Resetting weight limit to 30 after 345 givens.
% 21.95/22.22
% 23.23/23.49
% 23.23/23.49
% 23.23/23.49 Changing weight limit from 30 to 29.
% 23.23/23.49
% 23.23/23.49 Resetting weight limit to 29 after 525 givens.
% 23.23/23.49
% 23.81/24.08
% 23.81/24.08
% 23.81/24.08 Changing weight limit from 29 to 26.
% 23.81/24.08
% 23.81/24.08 Resetting weight limit to 26 after 770 givens.
% 23.81/24.08
% 23.81/24.11
% 23.81/24.11
% 23.81/24.11 Changing weight limit from 26 to 18.
% 23.81/24.11
% 23.81/24.11 Resetting weight limit to 18 after 800 givens.
% 23.81/24.11
% 24.12/24.33
% 24.12/24.33
% 24.12/24.33 Changing weight limit from 18 to 17.
% 24.12/24.33
% 24.12/24.33 Resetting weight limit to 17 after 935 givens.
% 24.12/24.33
% 24.12/24.35
% 24.12/24.35
% 24.12/24.35 Changing weight limit from 17 to 16.
% 24.12/24.35
% 24.12/24.35 Resetting weight limit to 16 after 950 givens.
% 24.12/24.35
% 24.12/24.37
% 24.12/24.37
% 24.12/24.37 Changing weight limit from 16 to 14.
% 24.12/24.37
% 24.12/24.37 Resetting weight limit to 14 after 955 givens.
% 24.12/24.37
% 24.50/24.72
% 24.50/24.72
% 24.50/24.72 Changing weight limit from 14 to 13.
% 24.50/24.72
% 24.50/24.72 Resetting weight limit to 13 after 1025 givens.
% 24.50/24.72
% 24.50/24.77
% 24.50/24.77
% 24.50/24.77 Changing weight limit from 13 to 12.
% 24.50/24.77
% 24.50/24.77 Resetting weight limit to 12 after 1055 givens.
% 24.50/24.77
% 24.50/24.79
% 24.50/24.79
% 24.50/24.79 Changing weight limit from 12 to 10.
% 24.50/24.79
% 24.50/24.79 Resetting weight limit to 10 after 1060 givens.
% 24.50/24.79
% 25.64/25.85
% 25.64/25.85
% 25.64/25.85 Changing weight limit from 10 to 9.
% 25.64/25.85
% 25.64/25.85 Resetting weight limit to 9 after 1345 givens.
% 25.64/25.85
% 29.51/29.75
% 29.51/29.75 -- HEY sandbox2, WE HAVE A PROOF!! --
% 29.51/29.75
% 29.51/29.75 ----> UNIT CONFLICT at 29.18 sec ----> 57995 [binary,57994.1,113.1] {-} $F.
% 29.51/29.75
% 29.51/29.75 Length of proof is 117. Level of proof is 21.
% 29.51/29.75
% 29.51/29.75 ---------------- PROOF ----------------
% 29.51/29.75 % SZS status Theorem
% 29.51/29.75 % SZS output start Refutation
% 29.51/29.75
% 29.51/29.75 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 29.51/29.75 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 29.51/29.75 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 29.51/29.75 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 29.51/29.75 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 29.51/29.75 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 29.51/29.75 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 29.51/29.75 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 29.51/29.75 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 29.51/29.75 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 29.51/29.75 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 29.51/29.75 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 29.51/29.75 44 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -cyclic(A,B,C,F)| -eqangle(C,A,C,B,F,D,F,E)|cong(A,B,D,E).
% 29.51/29.75 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 29.51/29.75 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 29.51/29.75 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 29.51/29.75 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 29.51/29.75 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 29.51/29.75 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 29.51/29.75 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 29.51/29.75 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 29.51/29.75 99 [] {+} -circle(A,B,C,D)|perp($f12(B,C,D,A),B,B,A).
% 29.51/29.75 113 [] {+} -para($c4,$c7,$c3,$c2).
% 29.51/29.75 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 29.51/29.75 123 [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).
% 29.51/29.75 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 29.51/29.75 159 [] {-} circle($c5,$c8,$c7,$c6).
% 29.51/29.75 161 [] {-} perp($c8,$c7,$c8,$c3).
% 29.51/29.75 162 [] {-} coll($c3,$c6,$c4).
% 29.51/29.75 163 [] {-} perp($c6,$c4,$c6,$c2).
% 29.51/29.75 164 [] {-} coll($c2,$c8,$c7).
% 29.51/29.75 166 [hyper,159,99] {-} perp($f12($c8,$c7,$c6,$c5),$c8,$c8,$c5).
% 29.51/29.75 183 [hyper,162,114] {-} coll($c4,$c4,$c3).
% 29.51/29.75 184 [hyper,162,2] {-} coll($c6,$c3,$c4).
% 29.51/29.75 185 [hyper,162,1] {-} coll($c3,$c4,$c6).
% 29.51/29.75 198 [hyper,164,114] {-} coll($c7,$c7,$c2).
% 29.51/29.75 199 [hyper,164,2] {-} coll($c8,$c2,$c7).
% 29.51/29.75 200 [hyper,164,1] {-} coll($c2,$c7,$c8).
% 29.51/29.75 213 [hyper,183,114] {-} coll($c3,$c3,$c4).
% 29.51/29.75 214 [hyper,183,1] {-} coll($c4,$c3,$c4).
% 29.51/29.75 245 [hyper,184,1] {-} coll($c6,$c4,$c3).
% 29.51/29.75 258 [hyper,185,114] {-} coll($c6,$c6,$c3).
% 29.51/29.75 272 [hyper,198,114] {-} coll($c2,$c2,$c7).
% 29.51/29.75 273 [hyper,198,1] {-} coll($c7,$c2,$c7).
% 29.51/29.75 286 [hyper,199,114] {-} coll($c7,$c7,$c8).
% 29.51/29.75 304 [hyper,161,8] {-} perp($c8,$c3,$c8,$c7).
% 29.51/29.75 305 [hyper,161,7] {-} perp($c8,$c7,$c3,$c8).
% 29.51/29.75 322 [hyper,200,114] {-} coll($c8,$c8,$c2).
% 29.51/29.75 381 [hyper,163,8] {-} perp($c6,$c2,$c6,$c4).
% 29.51/29.75 399 [hyper,245,114] {-} coll($c3,$c3,$c6).
% 29.51/29.75 413 [hyper,258,1] {-} coll($c6,$c3,$c6).
% 29.51/29.75 439 [hyper,272,1] {-} coll($c2,$c7,$c2).
% 29.51/29.75 452 [hyper,166,8] {-} perp($c8,$c5,$f12($c8,$c7,$c6,$c5),$c8).
% 29.51/29.75 487 [hyper,273,2] {-} coll($c2,$c7,$c7).
% 29.51/29.75 500 [hyper,286,114] {-} coll($c8,$c8,$c7).
% 29.51/29.75 501 [hyper,286,1] {-} coll($c7,$c8,$c7).
% 29.51/29.75 528 [hyper,322,1] {-} coll($c8,$c2,$c8).
% 29.51/29.75 972 [hyper,439,3,200] {-} coll($c2,$c8,$c2).
% 29.51/29.75 1239 [hyper,528,114] {-} coll($c8,$c8,$c8).
% 29.51/29.75 1240 [hyper,528,3,199] {-} coll($c7,$c8,$c8).
% 29.51/29.75 1762 [hyper,304,9,161] {-} para($c8,$c7,$c8,$c7).
% 29.51/29.75 1763 [hyper,304,9,161] {-} para($c8,$c3,$c8,$c3).
% 29.51/29.75 1842 [hyper,305,8] {-} perp($c3,$c8,$c8,$c7).
% 29.51/29.75 1863 [hyper,381,9,163] {-} para($c6,$c4,$c6,$c4).
% 29.51/29.75 1864 [hyper,381,9,163] {-} para($c6,$c2,$c6,$c2).
% 29.51/29.75 1921 [hyper,1762,40] {-} eqangle($c8,$c7,A,B,$c8,$c7,A,B).
% 29.51/29.75 1999 [hyper,1763,67] {-} coll($c8,$c3,$c3).
% 29.51/29.75 2000 [hyper,1763,40] {-} eqangle($c8,$c3,A,B,$c8,$c3,A,B).
% 29.51/29.75 2017 [hyper,1999,114] {-} coll($c3,$c3,$c8).
% 29.51/29.75 2032 [hyper,2017,114] {-} coll($c8,$c8,$c3).
% 29.51/29.75 2033 [hyper,2017,3,399] {-} coll($c6,$c8,$c3).
% 29.51/29.75 2034 [hyper,2017,3,213] {-} coll($c4,$c8,$c3).
% 29.51/29.75 2125 [hyper,2032,3,1239] {-} coll($c8,$c3,$c8).
% 29.51/29.75 2126 [hyper,2032,3,500] {-} coll($c7,$c3,$c8).
% 29.51/29.75 2127 [hyper,2032,3,322] {-} coll($c2,$c3,$c8).
% 29.51/29.75 2128 [hyper,2032,3,1239] {-} coll($c3,$c8,$c8).
% 29.51/29.75 2145 [hyper,2033,1] {-} coll($c6,$c3,$c8).
% 29.51/29.75 2160 [hyper,2034,1] {-} coll($c4,$c3,$c8).
% 29.51/29.75 2251 [hyper,2126,1] {-} coll($c7,$c8,$c3).
% 29.51/29.75 2264 [hyper,2127,1] {-} coll($c2,$c8,$c3).
% 29.51/29.75 2364 [hyper,2145,114] {-} coll($c8,$c8,$c6).
% 29.51/29.75 2366 [hyper,2145,3,413] {-} coll($c6,$c8,$c6).
% 29.51/29.75 2423 [hyper,2160,114] {-} coll($c8,$c8,$c4).
% 29.51/29.75 2426 [hyper,2160,3,214] {-} coll($c4,$c8,$c4).
% 29.51/29.75 2481 [hyper,2251,3,501] {-} coll($c7,$c3,$c7).
% 29.51/29.75 2543 [hyper,2264,3,972] {-} coll($c2,$c3,$c2).
% 29.51/29.75 2544 [hyper,2264,3,164] {-} coll($c7,$c3,$c2).
% 29.51/29.75 2600 [hyper,2364,3,500] {-} coll($c6,$c7,$c8).
% 29.51/29.75 2804 [hyper,2423,3,500] {-} coll($c7,$c4,$c8).
% 29.51/29.75 2806 [hyper,2423,3,500] {-} coll($c4,$c7,$c8).
% 29.51/29.75 3809 [hyper,2600,1] {-} coll($c6,$c8,$c7).
% 29.51/29.75 3943 [hyper,2804,1] {-} coll($c7,$c8,$c4).
% 29.51/29.75 4027 [hyper,2806,1] {-} coll($c4,$c8,$c7).
% 29.51/29.75 4269 [hyper,3809,3,2366] {-} coll($c6,$c7,$c6).
% 29.51/29.75 4409 [hyper,3943,3,501] {-} coll($c4,$c7,$c7).
% 29.51/29.75 4502 [hyper,4027,3,2426] {-} coll($c4,$c7,$c4).
% 29.51/29.75 6418 [hyper,1842,9,305] {-} para($c3,$c8,$c3,$c8).
% 29.51/29.75 12278 [hyper,452,9,166] {-} para($c8,$c5,$c8,$c5).
% 29.51/29.75 12280 [hyper,12278,67] {-} coll($c8,$c5,$c5).
% 29.51/29.75 12283 [hyper,12280,114] {-} coll($c5,$c5,$c8).
% 29.51/29.75 12286 [hyper,12283,114] {-} coll($c8,$c8,$c5).
% 29.51/29.75 12324 [hyper,12286,3,2364] {-} coll($c5,$c6,$c8).
% 29.51/29.75 12363 [hyper,12324,1] {-} coll($c5,$c8,$c6).
% 29.51/29.75 12628 [hyper,12363,54,159] {-} perp($c8,$c7,$c7,$c6).
% 29.51/29.75 13925 [hyper,1921,43,1239] {-} cyclic($c7,$c8,$c8,$c8).
% 29.51/29.75 13926 [hyper,1921,43,500] {-} cyclic($c7,$c7,$c8,$c8).
% 29.51/29.75 13954 [hyper,2000,43,2032] {-} cyclic($c3,$c3,$c8,$c8).
% 29.51/29.75 13956 [hyper,2000,43,1239] {-} cyclic($c3,$c8,$c8,$c8).
% 29.51/29.75 14392 [hyper,12628,8] {-} perp($c7,$c6,$c8,$c7).
% 29.51/29.75 14441 [hyper,13926,15] {-} cyclic($c7,$c8,$c7,$c8).
% 29.51/29.75 14488 [hyper,13954,15] {-} cyclic($c3,$c8,$c3,$c8).
% 29.51/29.75 14941 [hyper,14392,9,12628] {-} para($c7,$c6,$c7,$c6).
% 29.51/29.75 14977 [hyper,14441,14] {-} cyclic($c7,$c8,$c8,$c7).
% 29.51/29.75 15032 [hyper,14488,14] {-} cyclic($c3,$c8,$c8,$c3).
% 29.51/29.75 16176 [hyper,14977,123,13925,1921] {-} cong($c7,$c8,$c7,$c8).
% 29.51/29.75 16264 [hyper,15032,123,13956,2000] {-} cong($c3,$c8,$c3,$c8).
% 29.51/29.75 17026 [hyper,16176,68,1240] {-} midp($c7,$c8,$c8).
% 29.51/29.75 17032 [hyper,17026,129,1763] {-} midp($c7,$c3,$c3).
% 29.51/29.75 17033 [hyper,17026,129,1762] {-} midp($c7,$c7,$c7).
% 29.51/29.75 17092 [hyper,17033,64,17032] {-} para($c7,$c3,$c7,$c3).
% 29.51/29.75 17094 [hyper,17033,46,14941,4269] {-} midp($c6,$c7,$c6).
% 29.51/29.75 17273 [hyper,17094,46,1864,439] {-} midp($c2,$c7,$c2).
% 29.51/29.75 17274 [hyper,17094,46,1863,4502] {-} midp($c4,$c7,$c4).
% 29.51/29.75 17630 [hyper,17273,69] {-} cong($c2,$c7,$c2,$c2).
% 29.51/29.75 17631 [hyper,17273,11] {-} midp($c2,$c2,$c7).
% 29.51/29.75 17694 [hyper,17274,69] {-} cong($c4,$c7,$c4,$c4).
% 29.51/29.75 17695 [hyper,17274,11] {-} midp($c4,$c4,$c7).
% 29.51/29.75 18011 [hyper,17631,69] {-} cong($c2,$c2,$c2,$c7).
% 29.51/29.75 18097 [hyper,17695,69] {-} cong($c4,$c4,$c4,$c7).
% 29.51/29.75 18783 [hyper,16264,68,2128] {-} midp($c3,$c8,$c8).
% 29.51/29.75 18789 [hyper,18783,129,1763] {-} midp($c3,$c3,$c3).
% 29.51/29.75 19157 [hyper,18789,46,6418,2125] {-} midp($c8,$c3,$c8).
% 29.51/29.75 19558 [hyper,19157,46,1762,2481] {-} midp($c7,$c3,$c7).
% 29.51/29.75 20132 [hyper,19558,46,14941,413] {-} midp($c6,$c3,$c6).
% 29.51/29.75 20933 [hyper,20132,46,1864,2543] {-} midp($c2,$c3,$c2).
% 29.51/29.75 21442 [hyper,20933,11] {-} midp($c2,$c2,$c3).
% 29.51/29.75 22370 [hyper,21442,64,17273] {-} para($c2,$c7,$c3,$c2).
% 29.51/29.75 27779 [hyper,18011,25,17630] {-} cong($c2,$c7,$c2,$c7).
% 29.51/29.75 27813 [hyper,18097,25,17694] {-} cong($c4,$c7,$c4,$c7).
% 29.51/29.75 41369 [hyper,27779,68,487] {-} midp($c2,$c7,$c7).
% 29.51/29.75 41378 [hyper,41369,129,17092] {-} midp($c2,$c3,$c3).
% 29.51/29.75 42619 [hyper,41378,46,22370,2544] {-} midp($c7,$c3,$c2).
% 29.51/29.75 56121 [hyper,27813,68,4409] {-} midp($c4,$c7,$c7).
% 29.51/29.75 56130 [hyper,56121,129,17092] {-} midp($c4,$c3,$c3).
% 29.51/29.75 57994 [hyper,56130,45,42619] {-} para($c4,$c7,$c3,$c2).
% 29.51/29.75 57995 [binary,57994.1,113.1] {-} $F.
% 29.51/29.75
% 29.51/29.75 % SZS output end Refutation
% 29.51/29.75 ------------ end of proof -------------
% 29.51/29.75
% 29.51/29.75
% 29.51/29.75 Search stopped by max_proofs option.
% 29.51/29.75
% 29.51/29.75
% 29.51/29.75 Search stopped by max_proofs option.
% 29.51/29.75
% 29.51/29.75 ============ end of search ============
% 29.51/29.75
% 29.51/29.75 That finishes the proof of the theorem.
% 29.51/29.75
% 29.51/29.75 Process 29721 finished Sat Jun 18 02:23:56 2022
%------------------------------------------------------------------------------