TSTP Solution File: GEO588+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO588+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n029.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 06:21:02 EDT 2022
% Result : Theorem 63.10s 63.34s
% Output : Refutation 63.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO588+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n029.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 : Fri Jun 17 15:56:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.36 ----- Otter 3.2, August 2001 -----
% 0.18/0.36 The process was started by sandbox2 on n029.cluster.edu,
% 0.18/0.36 Fri Jun 17 15:56:13 2022
% 0.18/0.36 The command was "./sos". The process ID is 31733.
% 0.18/0.36
% 0.18/0.36 set(prolog_style_variables).
% 0.18/0.36 set(auto).
% 0.18/0.36 dependent: set(auto1).
% 0.18/0.36 dependent: set(process_input).
% 0.18/0.36 dependent: clear(print_kept).
% 0.18/0.36 dependent: clear(print_new_demod).
% 0.18/0.36 dependent: clear(print_back_demod).
% 0.18/0.36 dependent: clear(print_back_sub).
% 0.18/0.36 dependent: set(control_memory).
% 0.18/0.36 dependent: assign(max_mem, 12000).
% 0.18/0.36 dependent: assign(pick_given_ratio, 4).
% 0.18/0.36 dependent: assign(stats_level, 1).
% 0.18/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.36 dependent: assign(sos_limit, 5000).
% 0.18/0.36 dependent: assign(max_weight, 60).
% 0.18/0.36 clear(print_given).
% 0.18/0.36
% 0.18/0.36 formula_list(usable).
% 0.18/0.36
% 0.18/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.18/0.36
% 0.18/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.36 clauses in usable.
% 0.18/0.36
% 0.18/0.36 dependent: set(knuth_bendix).
% 0.18/0.36 dependent: set(para_from).
% 0.18/0.36 dependent: set(para_into).
% 0.18/0.36 dependent: clear(para_from_right).
% 0.18/0.36 dependent: clear(para_into_right).
% 0.18/0.36 dependent: set(para_from_vars).
% 0.18/0.36 dependent: set(eq_units_both_ways).
% 0.18/0.36 dependent: set(dynamic_demod_all).
% 0.18/0.36 dependent: set(dynamic_demod).
% 0.18/0.36 dependent: set(order_eq).
% 0.18/0.36 dependent: set(back_demod).
% 0.18/0.36 dependent: set(lrpo).
% 0.18/0.36 dependent: set(hyper_res).
% 0.18/0.36 dependent: set(unit_deletion).
% 0.18/0.36 dependent: set(factor).
% 0.18/0.36
% 0.18/0.36 ------------> process usable:
% 0.18/0.36 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).
% 0.18/0.36
% 0.18/0.36 ------------> process sos:
% 0.18/0.36 Following clause subsumed by 168 during input processing: 0 [copy,168,flip.1] {-} A=A.
% 0.18/0.36 168 back subsumes 146.
% 0.18/0.36 168 back subsumes 145.
% 0.18/0.36 168 back subsumes 144.
% 0.18/0.36 168 back subsumes 143.
% 0.18/0.36
% 0.18/0.36 ======= 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: 164
% 0.18/0.43 percentage of clauses intially in UL: 93
% 0.18/0.43 percentage of distinct symbols occuring in initial UL: 85
% 0.18/0.43 percent of all initial clauses that are short: 100
% 0.18/0.43 absolute distinct symbol count: 42
% 0.18/0.43 distinct predicate count: 12
% 0.18/0.43 distinct function count: 20
% 0.18/0.43 distinct constant count: 10
% 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 ===========
% 6.42/6.65
% 6.42/6.65
% 6.42/6.65 Changing weight limit from 60 to 56.
% 6.42/6.65
% 6.42/6.65 Resetting weight limit to 56 after 255 givens.
% 6.42/6.65
% 7.77/7.97
% 7.77/7.97
% 7.77/7.97 Changing weight limit from 56 to 55.
% 7.77/7.97
% 7.77/7.97 Resetting weight limit to 55 after 265 givens.
% 7.77/7.97
% 10.20/10.43
% 10.20/10.43
% 10.20/10.43 Changing weight limit from 55 to 54.
% 10.20/10.43
% 10.20/10.43 Resetting weight limit to 54 after 285 givens.
% 10.20/10.43
% 11.10/11.31
% 11.10/11.31
% 11.10/11.31 Changing weight limit from 54 to 51.
% 11.10/11.31
% 11.10/11.31 Resetting weight limit to 51 after 290 givens.
% 11.10/11.31
% 12.62/12.82
% 12.62/12.82
% 12.62/12.82 Changing weight limit from 51 to 50.
% 12.62/12.82
% 12.62/12.82 Modelling stopped after 300 given clauses and 0.00 seconds
% 12.62/12.82
% 12.62/12.82
% 12.62/12.82 Resetting weight limit to 50 after 300 givens.
% 12.62/12.82
% 15.10/15.31
% 15.10/15.31
% 15.10/15.31 Changing weight limit from 50 to 49.
% 15.10/15.31
% 15.10/15.31 Resetting weight limit to 49 after 330 givens.
% 15.10/15.31
% 16.67/16.86
% 16.67/16.86
% 16.67/16.86 Changing weight limit from 49 to 45.
% 16.67/16.86
% 16.67/16.86 Resetting weight limit to 45 after 355 givens.
% 16.67/16.86
% 17.39/17.60
% 17.39/17.60
% 17.39/17.60 Changing weight limit from 45 to 37.
% 17.39/17.60
% 17.39/17.60 Resetting weight limit to 37 after 365 givens.
% 17.39/17.60
% 17.84/18.05
% 17.84/18.05
% 17.84/18.05 Changing weight limit from 37 to 36.
% 17.84/18.05
% 17.84/18.05 Resetting weight limit to 36 after 380 givens.
% 17.84/18.05
% 18.36/18.61
% 18.36/18.61
% 18.36/18.61 Changing weight limit from 36 to 35.
% 18.36/18.61
% 18.36/18.61 Resetting weight limit to 35 after 400 givens.
% 18.36/18.61
% 18.64/18.90
% 18.64/18.90
% 18.64/18.90 Changing weight limit from 35 to 34.
% 18.64/18.90
% 18.64/18.90 Resetting weight limit to 34 after 410 givens.
% 18.64/18.90
% 18.96/19.17
% 18.96/19.17
% 18.96/19.17 Changing weight limit from 34 to 31.
% 18.96/19.17
% 18.96/19.17 Resetting weight limit to 31 after 415 givens.
% 18.96/19.17
% 19.04/19.28
% 19.04/19.28
% 19.04/19.28 Changing weight limit from 31 to 30.
% 19.04/19.28
% 19.04/19.28 Resetting weight limit to 30 after 420 givens.
% 19.04/19.28
% 26.56/26.80
% 26.56/26.80
% 26.56/26.80 Changing weight limit from 30 to 29.
% 26.56/26.80
% 26.56/26.80 Resetting weight limit to 29 after 790 givens.
% 26.56/26.80
% 28.09/28.30
% 28.09/28.30
% 28.09/28.30 Changing weight limit from 29 to 18.
% 28.09/28.30
% 28.09/28.30 Resetting weight limit to 18 after 965 givens.
% 28.09/28.30
% 28.26/28.47
% 28.26/28.47
% 28.26/28.47 Changing weight limit from 18 to 10.
% 28.26/28.47
% 28.26/28.47 Resetting weight limit to 10 after 970 givens.
% 28.26/28.47
% 30.29/30.50
% 30.29/30.50
% 30.29/30.50 Changing weight limit from 10 to 9.
% 30.29/30.50
% 30.29/30.50 Resetting weight limit to 9 after 1425 givens.
% 30.29/30.50
% 44.67/44.85
% 44.67/44.85
% 44.67/44.85 Changing weight limit from 9 to 8.
% 44.67/44.85
% 44.67/44.85 Resetting weight limit to 8 after 5615 givens.
% 44.67/44.85
% 52.83/53.03
% 52.83/53.03
% 52.83/53.03 Changing weight limit from 8 to 7.
% 52.83/53.03
% 52.83/53.03 Resetting weight limit to 7 after 6940 givens.
% 52.83/53.03
% 52.90/53.17
% 52.90/53.17
% 52.90/53.17 Changing weight limit from 7 to 5.
% 52.90/53.17
% 52.90/53.17 Resetting weight limit to 5 after 6995 givens.
% 52.90/53.17
% 63.10/63.34
% 63.10/63.34 -- HEY sandbox2, WE HAVE A PROOF!! --
% 63.10/63.34
% 63.10/63.34 ----> UNIT CONFLICT at 61.51 sec ----> 243456 [binary,243455.1,113.1] {-} $F.
% 63.10/63.34
% 63.10/63.34 Length of proof is 178. Level of proof is 19.
% 63.10/63.34
% 63.10/63.34 ---------------- PROOF ----------------
% 63.10/63.34 % SZS status Theorem
% 63.10/63.34 % SZS output start Refutation
% 63.10/63.34
% 63.10/63.34 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 63.10/63.34 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 63.10/63.34 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 63.10/63.34 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 63.10/63.34 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 63.10/63.34 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 63.10/63.34 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 63.10/63.34 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 63.10/63.34 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 63.10/63.34 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 63.10/63.34 13 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)| -cong(A,B,A,E)|cyclic(B,C,D,E).
% 63.10/63.34 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 63.10/63.34 23 [] {+} -cong(A,B,C,D)|cong(A,B,D,C).
% 63.10/63.34 24 [] {+} -cong(A,B,C,D)|cong(C,D,A,B).
% 63.10/63.34 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 63.10/63.34 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 63.10/63.34 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).
% 63.10/63.34 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 63.10/63.34 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 63.10/63.34 53 [] {+} -perp(A,B,B,C)| -midp(D,A,C)|cong(A,D,B,D).
% 63.10/63.34 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 63.10/63.34 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 63.10/63.34 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 63.10/63.34 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 63.10/63.34 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 63.10/63.34 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 63.10/63.34 70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 63.10/63.34 86 [] {+} -midp(A,B,C)| -midp(D,E,F)|midp($f6(B,C,E,F,A,D),B,F).
% 63.10/63.34 99 [] {+} -circle(A,B,C,D)|perp($f12(B,C,D,A),B,B,A).
% 63.10/63.34 113 [] {+} -para($c4,$c6,$c8,$c3).
% 63.10/63.34 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 63.10/63.34 117 [factor,13.1.2] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,C,D).
% 63.10/63.34 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 63.10/63.34 121 [factor,44.1.2] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,D)|cong(A,B,D,D).
% 63.10/63.34 124 [factor,45.1.2] {+} -midp(A,B,C)|para(A,A,C,C).
% 63.10/63.34 125 [factor,57.1.2] {+} -cong(A,B,C,B)|perp(A,C,B,B).
% 63.10/63.34 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 63.10/63.34 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 63.10/63.34 154 [factor,117.1.2] {+} -cong(A,B,A,C)|cyclic(B,C,C,C).
% 63.10/63.34 155 [factor,121.1.2] {+} -cyclic(A,B,C,D)| -eqangle(C,A,C,B,D,D,D,D)|cong(A,B,D,D).
% 63.10/63.34 159 [] {-} coll($c8,$c10,$c9).
% 63.10/63.34 160 [] {-} perp($c10,$c9,$c8,$c7).
% 63.10/63.34 161 [] {-} circle($c6,$c10,$c9,$c7).
% 63.10/63.34 162 [] {-} circle($c6,$c7,$c5,$c1).
% 63.10/63.34 163 [] {-} coll($c5,$c7,$c8).
% 63.10/63.34 164 [] {-} midp($c4,$c7,$c10).
% 63.10/63.34 165 [] {-} midp($c3,$c5,$c9).
% 63.10/63.34 166 [] {-} coll($c2,$c8,$c6).
% 63.10/63.34 167 [] {-} coll($c2,$c4,$c3).
% 63.10/63.34 169 [hyper,159,114] {-} coll($c9,$c9,$c8).
% 63.10/63.34 170 [hyper,159,2] {-} coll($c10,$c8,$c9).
% 63.10/63.34 171 [hyper,159,1] {-} coll($c8,$c9,$c10).
% 63.10/63.34 184 [hyper,163,114] {-} coll($c8,$c8,$c5).
% 63.10/63.34 185 [hyper,163,2] {-} coll($c7,$c5,$c8).
% 63.10/63.34 186 [hyper,163,1] {-} coll($c5,$c8,$c7).
% 63.10/63.34 203 [hyper,164,128] {-} para($c7,$c7,$c10,$c10).
% 63.10/63.34 205 [hyper,164,70] {-} coll($c4,$c7,$c10).
% 63.10/63.34 206 [hyper,164,69] {-} cong($c4,$c7,$c4,$c10).
% 63.10/63.34 207 [hyper,164,11] {-} midp($c4,$c10,$c7).
% 63.10/63.34 225 [hyper,165,124] {-} para($c3,$c3,$c9,$c9).
% 63.10/63.34 230 [hyper,165,86,164] {-} midp($f6($c7,$c10,$c5,$c9,$c4,$c3),$c7,$c9).
% 63.10/63.34 234 [hyper,165,70] {-} coll($c3,$c5,$c9).
% 63.10/63.34 235 [hyper,165,69] {-} cong($c3,$c5,$c3,$c9).
% 63.10/63.34 236 [hyper,165,11] {-} midp($c3,$c9,$c5).
% 63.10/63.34 249 [hyper,160,8] {-} perp($c8,$c7,$c10,$c9).
% 63.10/63.34 250 [hyper,160,7] {-} perp($c10,$c9,$c7,$c8).
% 63.10/63.34 268 [hyper,166,2] {-} coll($c8,$c2,$c6).
% 63.10/63.34 282 [hyper,167,114] {-} coll($c3,$c3,$c2).
% 63.10/63.34 283 [hyper,167,2] {-} coll($c4,$c2,$c3).
% 63.10/63.34 298 [hyper,169,1] {-} coll($c9,$c8,$c9).
% 63.10/63.34 311 [hyper,170,114] {-} coll($c9,$c9,$c10).
% 63.10/63.34 342 [hyper,171,114] {-} coll($c10,$c10,$c8).
% 63.10/63.34 356 [hyper,184,114] {-} coll($c5,$c5,$c8).
% 63.10/63.34 370 [hyper,185,114] {-} coll($c8,$c8,$c7).
% 63.10/63.34 384 [hyper,186,114] {-} coll($c7,$c7,$c5).
% 63.10/63.34 398 [hyper,162,99] {-} perp($f12($c7,$c5,$c1,$c6),$c7,$c7,$c6).
% 63.10/63.34 415 [hyper,205,114] {-} coll($c10,$c10,$c4).
% 63.10/63.34 416 [hyper,205,2] {-} coll($c7,$c4,$c10).
% 63.10/63.34 417 [hyper,205,1] {-} coll($c4,$c10,$c7).
% 63.10/63.34 434 [hyper,207,128] {-} para($c10,$c10,$c7,$c7).
% 63.10/63.34 452 [hyper,207,69] {-} cong($c4,$c10,$c4,$c7).
% 63.10/63.34 467 [hyper,234,114] {-} coll($c9,$c9,$c3).
% 63.10/63.34 469 [hyper,234,1] {-} coll($c3,$c9,$c5).
% 63.10/63.34 487 [hyper,236,124] {-} para($c3,$c3,$c5,$c5).
% 63.10/63.34 512 [hyper,236,69] {-} cong($c3,$c9,$c3,$c5).
% 63.10/63.34 617 [hyper,268,114] {-} coll($c6,$c6,$c8).
% 63.10/63.34 646 [hyper,282,1] {-} coll($c3,$c2,$c3).
% 63.10/63.34 737 [hyper,283,114] {-} coll($c3,$c3,$c4).
% 63.10/63.34 780 [hyper,298,114] {-} coll($c9,$c9,$c9).
% 63.10/63.34 866 [hyper,311,114] {-} coll($c10,$c10,$c9).
% 63.10/63.34 990 [hyper,356,1] {-} coll($c5,$c8,$c5).
% 63.10/63.34 1017 [hyper,370,114] {-} coll($c7,$c7,$c8).
% 63.10/63.34 1103 [hyper,384,1] {-} coll($c7,$c5,$c7).
% 63.10/63.34 1131 [hyper,415,3,342] {-} coll($c4,$c8,$c10).
% 63.10/63.34 1132 [hyper,415,1] {-} coll($c10,$c4,$c10).
% 63.10/63.34 1145 [hyper,416,114] {-} coll($c10,$c10,$c7).
% 63.10/63.34 1146 [hyper,416,1] {-} coll($c7,$c10,$c4).
% 63.10/63.34 1215 [hyper,417,114] {-} coll($c7,$c7,$c4).
% 63.10/63.34 1229 [hyper,467,114] {-} coll($c3,$c3,$c9).
% 63.10/63.34 1232 [hyper,467,3,311] {-} coll($c3,$c10,$c9).
% 63.10/63.34 1233 [hyper,467,3,169] {-} coll($c3,$c8,$c9).
% 63.10/63.34 1261 [hyper,469,114] {-} coll($c5,$c5,$c3).
% 63.10/63.34 1358 [hyper,617,114] {-} coll($c8,$c8,$c6).
% 63.10/63.34 1359 [hyper,617,1] {-} coll($c6,$c8,$c6).
% 63.10/63.34 1489 [hyper,646,114] {-} coll($c3,$c3,$c3).
% 63.10/63.34 1543 [hyper,737,114] {-} coll($c4,$c4,$c3).
% 63.10/63.34 1678 [hyper,780,3,467] {-} coll($c3,$c9,$c9).
% 63.10/63.34 1743 [hyper,866,3,415] {-} coll($c4,$c9,$c10).
% 63.10/63.34 1867 [hyper,990,114] {-} coll($c5,$c5,$c5).
% 63.10/63.34 1976 [hyper,1017,1] {-} coll($c7,$c8,$c7).
% 63.10/63.34 2177 [hyper,1103,114] {-} coll($c7,$c7,$c7).
% 63.10/63.34 2294 [hyper,1131,1] {-} coll($c4,$c10,$c8).
% 63.10/63.34 2307 [hyper,1132,2] {-} coll($c4,$c10,$c10).
% 63.10/63.34 2324 [hyper,1145,3,342] {-} coll($c7,$c8,$c10).
% 63.10/63.34 2338 [hyper,1146,114] {-} coll($c4,$c4,$c7).
% 63.10/63.34 2436 [hyper,1229,3,737] {-} coll($c9,$c4,$c3).
% 63.10/63.34 2438 [hyper,1229,1] {-} coll($c3,$c9,$c3).
% 63.10/63.34 2529 [hyper,1232,1] {-} coll($c3,$c9,$c10).
% 63.10/63.34 2542 [hyper,1233,1] {-} coll($c3,$c9,$c8).
% 63.10/63.34 2774 [hyper,1358,3,370] {-} coll($c7,$c6,$c8).
% 63.10/63.34 2779 [hyper,1358,3,370] {-} coll($c6,$c7,$c8).
% 63.10/63.34 3135 [hyper,1489,3,1229] {-} coll($c9,$c3,$c3).
% 63.10/63.34 3515 [hyper,1743,1] {-} coll($c4,$c10,$c9).
% 63.10/63.34 3709 [hyper,206,23] {-} cong($c4,$c7,$c10,$c4).
% 63.10/63.34 3726 [hyper,1867,3,1261] {-} coll($c3,$c5,$c5).
% 63.10/63.34 3999 [hyper,2177,3,1215] {-} coll($c4,$c7,$c7).
% 63.10/63.34 4180 [hyper,2294,114] {-} coll($c8,$c8,$c4).
% 63.10/63.34 4460 [hyper,2338,3,1543] {-} coll($c7,$c3,$c4).
% 63.10/63.34 4755 [hyper,2436,1] {-} coll($c9,$c3,$c4).
% 63.10/63.34 4781 [hyper,2438,3,469] {-} coll($c5,$c3,$c3).
% 63.10/63.34 4874 [hyper,2529,3,2438] {-} coll($c3,$c10,$c3).
% 63.10/63.34 4890 [hyper,2542,114] {-} coll($c8,$c8,$c3).
% 63.10/63.34 5353 [hyper,2774,1] {-} coll($c7,$c8,$c6).
% 63.10/63.34 5541 [hyper,2779,1] {-} coll($c6,$c8,$c7).
% 63.10/63.34 5760 [hyper,225,5] {-} para($c9,$c9,$c3,$c3).
% 63.10/63.34 6274 [hyper,230,128] {-} para($c7,$c7,$c9,$c9).
% 63.10/63.34 6817 [hyper,235,23] {-} cong($c3,$c5,$c9,$c3).
% 63.10/63.34 7653 [hyper,249,9,160] {-} para($c10,$c9,$c10,$c9).
% 63.10/63.34 7725 [hyper,250,8] {-} perp($c7,$c8,$c10,$c9).
% 63.10/63.34 7891 [hyper,4890,3,4180] {-} coll($c4,$c3,$c8).
% 63.10/63.34 8160 [hyper,5353,114] {-} coll($c6,$c6,$c7).
% 63.10/63.34 8170 [hyper,5353,3,2324] {-} coll($c6,$c10,$c7).
% 63.10/63.34 8172 [hyper,5353,3,1976] {-} coll($c6,$c7,$c7).
% 63.10/63.34 8261 [hyper,5541,3,1359] {-} coll($c6,$c7,$c6).
% 63.10/63.34 11765 [hyper,8170,54,161] {-} perp($c10,$c9,$c9,$c7).
% 63.10/63.34 13086 [hyper,398,8] {-} perp($c7,$c6,$f12($c7,$c5,$c1,$c6),$c7).
% 63.10/63.34 13087 [hyper,398,7] {-} perp($f12($c7,$c5,$c1,$c6),$c7,$c6,$c7).
% 63.10/63.34 13455 [hyper,434,6,203] {-} para($c7,$c7,$c7,$c7).
% 63.10/63.34 13630 [hyper,452,154] {-} cyclic($c10,$c7,$c7,$c7).
% 63.10/63.34 13633 [hyper,452,25,206] {-} cong($c4,$c7,$c4,$c7).
% 63.10/63.34 13634 [hyper,452,25,206] {-} cong($c4,$c10,$c4,$c10).
% 63.10/63.34 14327 [hyper,487,5] {-} para($c5,$c5,$c3,$c3).
% 63.10/63.34 14421 [hyper,512,25,235] {-} cong($c3,$c5,$c3,$c5).
% 63.10/63.34 14422 [hyper,512,25,235] {-} cong($c3,$c9,$c3,$c9).
% 63.10/63.34 14953 [hyper,3709,25,452] {-} cong($c4,$c10,$c10,$c4).
% 63.10/63.34 15499 [hyper,6817,24] {-} cong($c9,$c3,$c3,$c5).
% 63.10/63.34 16187 [hyper,11765,53,207] {-} cong($c10,$c4,$c9,$c4).
% 63.10/63.34 16189 [hyper,11765,9,7725] {-} para($c7,$c8,$c9,$c7).
% 63.10/63.34 16191 [hyper,11765,8] {-} perp($c9,$c7,$c10,$c9).
% 63.10/63.34 16364 [hyper,13455,40] {-} eqangle($c7,$c7,A,B,$c7,$c7,A,B).
% 63.10/63.34 16713 [hyper,13630,120] {-} cyclic($c7,$c7,$c7,$c7).
% 63.10/63.34 16728 [hyper,13633,68,3999] {-} midp($c4,$c7,$c7).
% 63.10/63.34 16828 [hyper,16728,64,207] {-} para($c10,$c7,$c7,$c7).
% 63.10/63.34 16830 [hyper,16728,64,207] {-} para($c7,$c10,$c7,$c7).
% 63.10/63.34 16831 [hyper,16728,64,164] {-} para($c7,$c7,$c7,$c10).
% 63.10/63.34 16852 [hyper,13634,68,2307] {-} midp($c4,$c10,$c10).
% 63.10/63.34 16872 [hyper,16852,129,7653] {-} midp($c4,$c9,$c9).
% 63.10/63.34 17088 [hyper,16872,64,207] {-} para($c10,$c9,$c7,$c9).
% 63.10/63.34 17090 [hyper,16872,64,16852] {-} para($c9,$c10,$c9,$c10).
% 63.10/63.34 17095 [hyper,16872,45,236] {-} para($c3,$c4,$c5,$c9).
% 63.10/63.34 17980 [hyper,14421,68,3726] {-} midp($c3,$c5,$c5).
% 63.10/63.34 18014 [hyper,17980,64,236] {-} para($c9,$c5,$c5,$c5).
% 63.10/63.34 18028 [hyper,14422,68,1678] {-} midp($c3,$c9,$c9).
% 63.10/63.34 18074 [hyper,18028,45,16872] {-} para($c4,$c3,$c9,$c9).
% 63.10/63.34 20895 [hyper,15499,25,6817] {-} cong($c9,$c3,$c9,$c3).
% 63.10/63.34 21476 [hyper,16187,125] {-} perp($c10,$c9,$c4,$c4).
% 63.10/63.34 21477 [hyper,16187,25,14953] {-} cong($c4,$c10,$c9,$c4).
% 63.10/63.34 21654 [hyper,16189,4] {-} para($c7,$c8,$c7,$c9).
% 63.10/63.34 22208 [hyper,16828,6,6274] {-} para($c10,$c7,$c9,$c9).
% 63.10/63.34 24182 [hyper,17088,4] {-} para($c10,$c9,$c9,$c7).
% 63.10/63.34 24363 [hyper,17090,129,18028] {-} midp($c3,$c10,$c10).
% 63.10/63.34 24594 [hyper,24363,45,207] {-} para($c4,$c3,$c7,$c10).
% 63.10/63.34 25549 [hyper,17095,5] {-} para($c5,$c9,$c3,$c4).
% 63.10/63.34 26247 [hyper,18014,6,14327] {-} para($c9,$c5,$c3,$c3).
% 63.10/63.34 28044 [hyper,18074,6,5760] {-} para($c4,$c3,$c3,$c3).
% 63.10/63.34 31530 [hyper,20895,68,3135] {-} midp($c9,$c3,$c3).
% 63.10/63.34 33896 [hyper,21476,9,16191] {-} para($c9,$c7,$c4,$c4).
% 63.10/63.34 33924 [hyper,21477,23] {-} cong($c4,$c10,$c4,$c9).
% 63.10/63.34 34298 [hyper,21654,5] {-} para($c7,$c9,$c7,$c8).
% 63.10/63.34 47509 [hyper,26247,46,31530,4781] {-} midp($c5,$c3,$c3).
% 63.10/63.34 47596 [hyper,47509,46,25549,4755] {-} midp($c9,$c3,$c4).
% 63.10/63.34 54229 [hyper,33896,46,47596,4460] {-} midp($c7,$c3,$c4).
% 63.10/63.34 54318 [hyper,54229,11] {-} midp($c7,$c4,$c3).
% 63.10/63.34 54381 [hyper,54318,129,28044] {-} midp($c7,$c3,$c3).
% 63.10/63.34 55138 [hyper,33924,68,3515] {-} midp($c4,$c10,$c9).
% 63.10/63.34 55228 [hyper,55138,65,24182,22208] {-} midp($c4,$c9,$c7).
% 63.10/63.34 55333 [hyper,55228,46,24594,2529] {-} midp($c3,$c9,$c10).
% 63.10/63.34 56807 [hyper,34298,65,16728,21654] {-} midp($c4,$c9,$c8).
% 63.10/63.34 57323 [hyper,56807,45,55333] {-} para($c3,$c4,$c10,$c8).
% 63.10/63.34 58277 [hyper,13086,9,398] {-} para($c7,$c6,$c7,$c6).
% 63.10/63.34 58297 [hyper,13087,9,13086] {-} para($c7,$c6,$c6,$c7).
% 63.10/63.34 71435 [hyper,16364,155,16713] {-} cong($c7,$c7,$c7,$c7).
% 63.10/63.34 83146 [hyper,71435,68,2177] {-} midp($c7,$c7,$c7).
% 63.10/63.34 83152 [hyper,83146,129,58277] {-} midp($c7,$c6,$c6).
% 63.10/63.34 83344 [hyper,83146,65,16830,16831] {-} midp($c7,$c10,$c7).
% 63.10/63.34 83349 [hyper,83146,64,54381] {-} para($c7,$c3,$c7,$c3).
% 63.10/63.34 83366 [hyper,83146,46,58277,8261] {-} midp($c6,$c7,$c6).
% 63.10/63.34 83564 [hyper,83152,46,58297,8160] {-} midp($c6,$c6,$c7).
% 63.10/63.34 89051 [hyper,83366,69] {-} cong($c6,$c7,$c6,$c6).
% 63.10/63.34 94729 [hyper,83564,69] {-} cong($c6,$c6,$c6,$c7).
% 63.10/63.34 193860 [hyper,83349,46,83344,4874] {-} midp($c3,$c10,$c3).
% 63.10/63.34 194520 [hyper,193860,11] {-} midp($c3,$c3,$c10).
% 63.10/63.34 199826 [hyper,194520,46,57323,7891] {-} midp($c4,$c3,$c8).
% 63.10/63.34 227544 [hyper,94729,25,89051] {-} cong($c6,$c7,$c6,$c7).
% 63.10/63.34 242958 [hyper,227544,68,8172] {-} midp($c6,$c7,$c7).
% 63.10/63.34 242963 [hyper,242958,129,83349] {-} midp($c6,$c3,$c3).
% 63.10/63.34 243455 [hyper,242963,45,199826] {-} para($c4,$c6,$c8,$c3).
% 63.10/63.34 243456 [binary,243455.1,113.1] {-} $F.
% 63.10/63.34
% 63.10/63.34 % SZS output end Refutation
% 63.10/63.34 ------------ end of proof -------------
% 63.10/63.34
% 63.10/63.34
% 63.10/63.34 Search stopped by max_proofs option.
% 63.10/63.34
% 63.10/63.34
% 63.10/63.34 Search stopped by max_proofs option.
% 63.10/63.34
% 63.10/63.34 ============ end of search ============
% 63.10/63.34
% 63.10/63.34 That finishes the proof of the theorem.
% 63.10/63.34
% 63.10/63.34 Process 31733 finished Fri Jun 17 15:57:16 2022
%------------------------------------------------------------------------------