TSTP Solution File: GEO545+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO545+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n010.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 06:20:50 EDT 2022
% Result : Theorem 171.04s 171.24s
% Output : Refutation 171.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO545+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 03:44:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.37 ----- Otter 3.2, August 2001 -----
% 0.13/0.37 The process was started by sandbox on n010.cluster.edu,
% 0.13/0.37 Sat Jun 18 03:44:08 2022
% 0.13/0.37 The command was "./sos". The process ID is 19250.
% 0.13/0.37
% 0.13/0.37 set(prolog_style_variables).
% 0.13/0.37 set(auto).
% 0.13/0.37 dependent: set(auto1).
% 0.13/0.37 dependent: set(process_input).
% 0.13/0.37 dependent: clear(print_kept).
% 0.13/0.37 dependent: clear(print_new_demod).
% 0.13/0.37 dependent: clear(print_back_demod).
% 0.13/0.37 dependent: clear(print_back_sub).
% 0.13/0.37 dependent: set(control_memory).
% 0.13/0.37 dependent: assign(max_mem, 12000).
% 0.13/0.37 dependent: assign(pick_given_ratio, 4).
% 0.13/0.37 dependent: assign(stats_level, 1).
% 0.13/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37 dependent: assign(sos_limit, 5000).
% 0.13/0.37 dependent: assign(max_weight, 60).
% 0.13/0.37 clear(print_given).
% 0.13/0.37
% 0.13/0.37 formula_list(usable).
% 0.13/0.37
% 0.13/0.37 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.37
% 0.13/0.37 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.37 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.37 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.37 clauses in usable.
% 0.13/0.37
% 0.13/0.37 dependent: set(knuth_bendix).
% 0.13/0.37 dependent: set(para_from).
% 0.13/0.37 dependent: set(para_into).
% 0.13/0.37 dependent: clear(para_from_right).
% 0.13/0.37 dependent: clear(para_into_right).
% 0.13/0.37 dependent: set(para_from_vars).
% 0.13/0.37 dependent: set(eq_units_both_ways).
% 0.13/0.37 dependent: set(dynamic_demod_all).
% 0.13/0.37 dependent: set(dynamic_demod).
% 0.13/0.37 dependent: set(order_eq).
% 0.13/0.37 dependent: set(back_demod).
% 0.13/0.37 dependent: set(lrpo).
% 0.13/0.37 dependent: set(hyper_res).
% 0.13/0.37 dependent: set(unit_deletion).
% 0.13/0.37 dependent: set(factor).
% 0.13/0.37
% 0.13/0.37 ------------> process usable:
% 0.13/0.37 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).
% 0.13/0.37
% 0.13/0.37 ------------> process sos:
% 0.13/0.37 Following clause subsumed by 186 during input processing: 0 [copy,186,flip.1] {-} A=A.
% 0.13/0.37 186 back subsumes 146.
% 0.13/0.37 186 back subsumes 145.
% 0.13/0.37 186 back subsumes 144.
% 0.13/0.37 186 back subsumes 143.
% 0.13/0.37
% 0.13/0.37 ======= end of input processing =======
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Failed to model usable list: disabling FINDER
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 -------------- Softie stats --------------
% 0.19/0.45
% 0.19/0.45 UPDATE_STOP: 300
% 0.19/0.45 SFINDER_TIME_LIMIT: 2
% 0.19/0.45 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.45 number of clauses in intial UL: 154
% 0.19/0.45 number of clauses initially in problem: 182
% 0.19/0.45 percentage of clauses intially in UL: 84
% 0.19/0.45 percentage of distinct symbols occuring in initial UL: 69
% 0.19/0.45 percent of all initial clauses that are short: 100
% 0.19/0.45 absolute distinct symbol count: 52
% 0.19/0.45 distinct predicate count: 12
% 0.19/0.45 distinct function count: 20
% 0.19/0.45 distinct constant count: 20
% 0.19/0.45
% 0.19/0.45 ---------- no more Softie stats ----------
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 =========== start of search ===========
% 1.49/1.72
% 1.49/1.72
% 1.49/1.72 Changing weight limit from 60 to 57.
% 1.49/1.72
% 1.49/1.72 Resetting weight limit to 57 after 135 givens.
% 1.49/1.72
% 1.66/1.92
% 1.66/1.92
% 1.66/1.92 Changing weight limit from 57 to 56.
% 1.66/1.92
% 1.66/1.92 Resetting weight limit to 56 after 140 givens.
% 1.66/1.92
% 1.98/2.17
% 1.98/2.17
% 1.98/2.17 Changing weight limit from 56 to 55.
% 1.98/2.17
% 1.98/2.17 Resetting weight limit to 55 after 145 givens.
% 1.98/2.17
% 1.98/2.23
% 1.98/2.23
% 1.98/2.23 Changing weight limit from 55 to 52.
% 1.98/2.23
% 1.98/2.23 Resetting weight limit to 52 after 150 givens.
% 1.98/2.23
% 2.26/2.44
% 2.26/2.44
% 2.26/2.44 Changing weight limit from 52 to 51.
% 2.26/2.44
% 2.26/2.44 Resetting weight limit to 51 after 160 givens.
% 2.26/2.44
% 2.88/3.16
% 2.88/3.16
% 2.88/3.16 Changing weight limit from 51 to 36.
% 2.88/3.16
% 2.88/3.16 Resetting weight limit to 36 after 180 givens.
% 2.88/3.16
% 3.02/3.19
% 3.02/3.19
% 3.02/3.19 Changing weight limit from 36 to 34.
% 3.02/3.19
% 3.02/3.19 Resetting weight limit to 34 after 185 givens.
% 3.02/3.19
% 3.07/3.27
% 3.07/3.27
% 3.07/3.27 Changing weight limit from 34 to 31.
% 3.07/3.27
% 3.07/3.27 Resetting weight limit to 31 after 190 givens.
% 3.07/3.27
% 3.30/3.49
% 3.30/3.49
% 3.30/3.49 Changing weight limit from 31 to 30.
% 3.30/3.49
% 3.30/3.49 Resetting weight limit to 30 after 200 givens.
% 3.30/3.49
% 4.68/4.86
% 4.68/4.86
% 4.68/4.86 Changing weight limit from 30 to 29.
% 4.68/4.86
% 4.68/4.86 Modelling stopped after 300 given clauses and 0.00 seconds
% 4.68/4.86
% 4.68/4.86
% 4.68/4.87 Resetting weight limit to 29 after 315 givens.
% 4.68/4.87
% 4.96/5.19
% 4.96/5.19
% 4.96/5.19 Changing weight limit from 29 to 23.
% 4.96/5.19
% 4.96/5.19 Resetting weight limit to 23 after 455 givens.
% 4.96/5.19
% 4.96/5.22
% 4.96/5.22
% 4.96/5.22 Changing weight limit from 23 to 22.
% 4.96/5.22
% 4.96/5.22 Resetting weight limit to 22 after 460 givens.
% 4.96/5.22
% 5.04/5.24
% 5.04/5.24
% 5.04/5.24 Changing weight limit from 22 to 17.
% 5.04/5.24
% 5.04/5.24 Resetting weight limit to 17 after 465 givens.
% 5.04/5.24
% 5.09/5.33
% 5.09/5.33
% 5.09/5.33 Changing weight limit from 17 to 16.
% 5.09/5.33
% 5.09/5.33 Resetting weight limit to 16 after 580 givens.
% 5.09/5.33
% 5.19/5.40
% 5.19/5.40
% 5.19/5.40 Changing weight limit from 16 to 15.
% 5.19/5.40
% 5.19/5.40 Resetting weight limit to 15 after 610 givens.
% 5.19/5.40
% 5.28/5.49
% 5.28/5.49
% 5.28/5.49 Changing weight limit from 15 to 11.
% 5.28/5.49
% 5.28/5.49 Resetting weight limit to 11 after 695 givens.
% 5.28/5.49
% 5.66/5.87
% 5.66/5.87
% 5.66/5.87 Changing weight limit from 11 to 10.
% 5.66/5.87
% 5.66/5.87 Resetting weight limit to 10 after 1195 givens.
% 5.66/5.87
% 15.08/15.29
% 15.08/15.29
% 15.08/15.29 Changing weight limit from 10 to 9.
% 15.08/15.29
% 15.08/15.29 Resetting weight limit to 9 after 5235 givens.
% 15.08/15.29
% 21.09/21.34
% 21.09/21.34
% 21.09/21.34 Changing weight limit from 9 to 8.
% 21.09/21.34
% 21.09/21.34 Resetting weight limit to 8 after 6865 givens.
% 21.09/21.34
% 21.17/21.36
% 21.17/21.36
% 21.17/21.36 Changing weight limit from 8 to 5.
% 21.17/21.36
% 21.17/21.36 Resetting weight limit to 5 after 6875 givens.
% 21.17/21.36
% 171.04/171.24
% 171.04/171.24 -- HEY sandbox, WE HAVE A PROOF!! --
% 171.04/171.24
% 171.04/171.24 ----> UNIT CONFLICT at 162.57 sec ----> 808934 [binary,808933.1,113.1] {-} $F.
% 171.04/171.24
% 171.04/171.24 Length of proof is 178. Level of proof is 15.
% 171.04/171.24
% 171.04/171.24 ---------------- PROOF ----------------
% 171.04/171.24 % SZS status Theorem
% 171.04/171.24 % SZS output start Refutation
% 171.04/171.24
% 171.04/171.24 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 171.04/171.24 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 171.04/171.24 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 171.04/171.24 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 171.04/171.24 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 171.04/171.24 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 171.04/171.24 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 171.04/171.24 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 171.04/171.24 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 171.04/171.24 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 171.04/171.24 12 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|circle(A,B,C,D).
% 171.04/171.24 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 171.04/171.24 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 171.04/171.24 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 171.04/171.24 53 [] {+} -perp(A,B,B,C)| -midp(D,A,C)|cong(A,D,B,D).
% 171.04/171.24 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 171.04/171.24 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 171.04/171.24 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 171.04/171.24 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 171.04/171.24 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 171.04/171.24 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 171.04/171.24 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 171.04/171.24 70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 171.04/171.24 113 [] {+} -perp($c13,$c16,$c14,$c15).
% 171.04/171.24 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 171.04/171.24 116 [factor,12.1.2] {+} -cong(A,B,A,C)|circle(A,B,C,C).
% 171.04/171.24 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 171.04/171.24 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 171.04/171.24 159 [] {-} perp($c20,$c19,$c18,$c17).
% 171.04/171.24 160 [] {-} perp($c20,$c18,$c19,$c17).
% 171.04/171.24 161 [] {-} perp($c19,$c18,$c20,$c17).
% 171.04/171.24 162 [] {-} midp($c12,$c20,$c19).
% 171.04/171.24 163 [] {-} perp($c20,$c19,$c12,$c16).
% 171.04/171.24 164 [] {-} midp($c11,$c20,$c18).
% 171.04/171.24 166 [] {-} midp($c10,$c19,$c18).
% 171.04/171.24 167 [] {-} perp($c19,$c18,$c10,$c16).
% 171.04/171.24 168 [] {-} midp($c9,$c20,$c19).
% 171.04/171.24 169 [] {-} perp($c20,$c19,$c9,$c15).
% 171.04/171.24 170 [] {-} midp($c8,$c20,$c17).
% 171.04/171.24 172 [] {-} midp($c7,$c19,$c17).
% 171.04/171.24 174 [] {-} midp($c6,$c20,$c17).
% 171.04/171.24 175 [] {-} perp($c20,$c17,$c6,$c14).
% 171.04/171.24 176 [] {-} midp($c5,$c20,$c18).
% 171.04/171.24 177 [] {-} perp($c20,$c18,$c5,$c14).
% 171.04/171.24 178 [] {-} midp($c4,$c17,$c18).
% 171.04/171.24 180 [] {-} midp($c3,$c19,$c17).
% 171.04/171.24 181 [] {-} perp($c19,$c17,$c3,$c13).
% 171.04/171.24 182 [] {-} midp($c2,$c19,$c18).
% 171.04/171.24 183 [] {-} perp($c19,$c18,$c2,$c13).
% 171.04/171.24 211 [hyper,162,70] {-} coll($c12,$c20,$c19).
% 171.04/171.24 212 [hyper,162,69] {-} cong($c12,$c20,$c12,$c19).
% 171.04/171.24 213 [hyper,162,11] {-} midp($c12,$c19,$c20).
% 171.04/171.24 230 [hyper,164,128] {-} para($c20,$c20,$c18,$c18).
% 171.04/171.24 240 [hyper,164,70] {-} coll($c11,$c20,$c18).
% 171.04/171.24 244 [hyper,164,11] {-} midp($c11,$c18,$c20).
% 171.04/171.24 261 [hyper,166,128] {-} para($c19,$c19,$c18,$c18).
% 171.04/171.24 279 [hyper,166,70] {-} coll($c10,$c19,$c18).
% 171.04/171.24 280 [hyper,166,69] {-} cong($c10,$c19,$c10,$c18).
% 171.04/171.24 281 [hyper,166,11] {-} midp($c10,$c18,$c19).
% 171.04/171.24 341 [hyper,168,70] {-} coll($c9,$c20,$c19).
% 171.04/171.24 344 [hyper,168,45,162] {-} para($c12,$c9,$c19,$c19).
% 171.04/171.24 364 [hyper,170,128] {-} para($c20,$c20,$c17,$c17).
% 171.04/171.24 398 [hyper,170,70] {-} coll($c8,$c20,$c17).
% 171.04/171.24 406 [hyper,170,11] {-} midp($c8,$c17,$c20).
% 171.04/171.24 465 [hyper,172,70] {-} coll($c7,$c19,$c17).
% 171.04/171.24 466 [hyper,172,69] {-} cong($c7,$c19,$c7,$c17).
% 171.04/171.24 468 [hyper,172,45,166] {-} para($c7,$c10,$c17,$c18).
% 171.04/171.24 469 [hyper,172,11] {-} midp($c7,$c17,$c19).
% 171.04/171.24 535 [hyper,174,70] {-} coll($c6,$c20,$c17).
% 171.04/171.24 566 [hyper,161,8] {-} perp($c20,$c17,$c19,$c18).
% 171.04/171.24 567 [hyper,161,7] {-} perp($c19,$c18,$c17,$c20).
% 171.04/171.24 645 [hyper,176,70] {-} coll($c5,$c20,$c18).
% 171.04/171.24 657 [hyper,176,11] {-} midp($c5,$c18,$c20).
% 171.04/171.24 740 [hyper,178,70] {-} coll($c4,$c17,$c18).
% 171.04/171.24 832 [hyper,180,70] {-} coll($c3,$c19,$c17).
% 171.04/171.24 936 [hyper,182,70] {-} coll($c2,$c19,$c18).
% 171.04/171.24 957 [hyper,163,8] {-} perp($c12,$c16,$c20,$c19).
% 171.04/171.24 1085 [hyper,211,114] {-} coll($c19,$c19,$c12).
% 171.04/171.24 1086 [hyper,211,2] {-} coll($c20,$c12,$c19).
% 171.04/171.24 1087 [hyper,211,1] {-} coll($c12,$c19,$c20).
% 171.04/171.24 1104 [hyper,213,128] {-} para($c19,$c19,$c20,$c20).
% 171.04/171.24 1202 [hyper,213,69] {-} cong($c12,$c19,$c12,$c20).
% 171.04/171.24 1203 [hyper,213,64,162] {-} para($c20,$c19,$c19,$c20).
% 171.04/171.24 1204 [hyper,213,64,162] {-} para($c19,$c20,$c20,$c19).
% 171.04/171.24 1208 [hyper,213,45,166] {-} para($c10,$c12,$c18,$c20).
% 171.04/171.24 1209 [hyper,213,45,182] {-} para($c12,$c2,$c20,$c18).
% 171.04/171.24 1226 [hyper,240,2] {-} coll($c20,$c11,$c18).
% 171.04/171.24 1369 [hyper,244,64,164] {-} para($c20,$c18,$c18,$c20).
% 171.04/171.24 1383 [hyper,279,114] {-} coll($c18,$c18,$c10).
% 171.04/171.24 1384 [hyper,279,2] {-} coll($c19,$c10,$c18).
% 171.04/171.24 1385 [hyper,279,1] {-} coll($c10,$c18,$c19).
% 171.04/171.24 1516 [hyper,281,69] {-} cong($c10,$c18,$c10,$c19).
% 171.04/171.24 1535 [hyper,341,1] {-} coll($c9,$c19,$c20).
% 171.04/171.24 1548 [hyper,167,8] {-} perp($c10,$c16,$c19,$c18).
% 171.04/171.24 1715 [hyper,398,2] {-} coll($c20,$c8,$c17).
% 171.04/171.24 1716 [hyper,398,1] {-} coll($c8,$c17,$c20).
% 171.04/171.24 1863 [hyper,406,69] {-} cong($c8,$c17,$c8,$c20).
% 171.04/171.24 1864 [hyper,406,64,170] {-} para($c20,$c17,$c17,$c20).
% 171.04/171.24 1883 [hyper,465,2] {-} coll($c19,$c7,$c17).
% 171.04/171.24 1884 [hyper,465,1] {-} coll($c7,$c17,$c19).
% 171.04/171.24 1897 [hyper,169,8] {-} perp($c9,$c15,$c20,$c19).
% 171.04/171.24 2057 [hyper,469,69] {-} cong($c7,$c17,$c7,$c19).
% 171.04/171.24 2078 [hyper,535,114] {-} coll($c17,$c17,$c6).
% 171.04/171.24 2080 [hyper,535,1] {-} coll($c6,$c17,$c20).
% 171.04/171.24 2265 [hyper,645,1] {-} coll($c5,$c18,$c20).
% 171.04/171.24 2455 [hyper,657,45,281] {-} para($c10,$c5,$c19,$c20).
% 171.04/171.24 2472 [hyper,740,2] {-} coll($c17,$c4,$c18).
% 171.04/171.24 2673 [hyper,832,114] {-} coll($c17,$c17,$c3).
% 171.04/171.24 2675 [hyper,832,1] {-} coll($c3,$c17,$c19).
% 171.04/171.24 2903 [hyper,936,114] {-} coll($c18,$c18,$c2).
% 171.04/171.24 3136 [hyper,175,8] {-} perp($c6,$c14,$c20,$c17).
% 171.04/171.24 3367 [hyper,1085,1] {-} coll($c19,$c12,$c19).
% 171.04/171.24 3380 [hyper,1086,114] {-} coll($c19,$c19,$c20).
% 171.04/171.24 3381 [hyper,1086,1] {-} coll($c20,$c19,$c12).
% 171.04/171.24 3394 [hyper,1087,114] {-} coll($c20,$c20,$c12).
% 171.04/171.24 3408 [hyper,177,8] {-} perp($c5,$c14,$c20,$c18).
% 171.04/171.24 3440 [hyper,1226,114] {-} coll($c18,$c18,$c20).
% 171.04/171.24 3502 [hyper,1384,114] {-} coll($c18,$c18,$c19).
% 171.04/171.24 3516 [hyper,1385,114] {-} coll($c19,$c19,$c10).
% 171.04/171.24 3560 [hyper,181,8] {-} perp($c3,$c13,$c19,$c17).
% 171.04/171.24 3578 [hyper,1535,114] {-} coll($c20,$c20,$c9).
% 171.04/171.24 3606 [hyper,1715,114] {-} coll($c17,$c17,$c20).
% 171.04/171.24 3634 [hyper,183,8] {-} perp($c2,$c13,$c19,$c18).
% 171.04/171.24 3668 [hyper,1883,114] {-} coll($c17,$c17,$c19).
% 171.04/171.24 3682 [hyper,1884,114] {-} coll($c19,$c19,$c7).
% 171.04/171.24 3696 [hyper,2078,114] {-} coll($c6,$c6,$c17).
% 171.04/171.24 3746 [hyper,2080,2] {-} coll($c17,$c6,$c20).
% 171.04/171.24 3811 [hyper,2265,114] {-} coll($c20,$c20,$c5).
% 171.04/171.24 3845 [hyper,2472,114] {-} coll($c18,$c18,$c17).
% 171.04/171.24 3892 [hyper,2673,114] {-} coll($c3,$c3,$c17).
% 171.04/171.24 3925 [hyper,2675,114] {-} coll($c19,$c19,$c3).
% 171.04/171.24 4252 [hyper,3367,114] {-} coll($c19,$c19,$c19).
% 171.04/171.24 4266 [hyper,3380,114] {-} coll($c20,$c20,$c19).
% 171.04/171.24 4380 [hyper,3381,114] {-} coll($c12,$c12,$c20).
% 171.04/171.24 4394 [hyper,3394,1] {-} coll($c20,$c12,$c20).
% 171.04/171.24 4547 [hyper,3440,114] {-} coll($c20,$c20,$c18).
% 171.04/171.24 4549 [hyper,3440,3,2903] {-} coll($c2,$c20,$c18).
% 171.04/171.24 4815 [hyper,3502,114] {-} coll($c19,$c19,$c18).
% 171.04/171.24 5215 [hyper,3606,114] {-} coll($c20,$c20,$c17).
% 171.04/171.24 6247 [hyper,3845,114] {-} coll($c17,$c17,$c18).
% 171.04/171.24 6252 [hyper,3845,3,1383] {-} coll($c10,$c17,$c18).
% 171.04/171.24 6980 [hyper,4252,3,3682] {-} coll($c7,$c19,$c19).
% 171.04/171.24 6981 [hyper,4252,3,3516] {-} coll($c10,$c19,$c19).
% 171.04/171.24 7007 [hyper,4266,3,3811] {-} coll($c5,$c19,$c20).
% 171.04/171.24 7082 [hyper,4394,2] {-} coll($c12,$c20,$c20).
% 171.04/171.24 7150 [hyper,4547,3,3578] {-} coll($c9,$c18,$c20).
% 171.04/171.24 7151 [hyper,4547,3,3394] {-} coll($c12,$c18,$c20).
% 171.04/171.24 7446 [hyper,4815,3,3925] {-} coll($c18,$c3,$c19).
% 171.04/171.24 8522 [hyper,5215,3,3578] {-} coll($c17,$c9,$c20).
% 171.04/171.24 9954 [hyper,6247,3,3668] {-} coll($c18,$c19,$c17).
% 171.04/171.24 10025 [hyper,6252,1] {-} coll($c10,$c18,$c17).
% 171.04/171.24 12334 [hyper,7150,1] {-} coll($c9,$c20,$c18).
% 171.04/171.24 12442 [hyper,7151,1] {-} coll($c12,$c20,$c18).
% 171.04/171.24 13331 [hyper,7446,1] {-} coll($c18,$c19,$c3).
% 171.04/171.24 13514 [hyper,344,6,261] {-} para($c12,$c9,$c18,$c18).
% 171.04/171.24 14204 [hyper,8522,1] {-} coll($c17,$c20,$c9).
% 171.04/171.24 16554 [hyper,468,4] {-} para($c7,$c10,$c18,$c17).
% 171.04/171.24 17758 [hyper,12442,2] {-} coll($c20,$c12,$c18).
% 171.04/171.24 17853 [hyper,566,9,161] {-} para($c19,$c18,$c19,$c18).
% 171.04/171.24 18791 [hyper,13331,3,9954] {-} coll($c17,$c3,$c18).
% 171.04/171.24 20726 [hyper,14204,114] {-} coll($c9,$c9,$c17).
% 171.04/171.24 25923 [hyper,957,9,163] {-} para($c12,$c16,$c12,$c16).
% 171.04/171.24 29523 [hyper,1202,25,212] {-} cong($c12,$c20,$c12,$c20).
% 171.04/171.24 30632 [hyper,1204,6,1203] {-} para($c19,$c20,$c19,$c20).
% 171.04/171.24 31292 [hyper,1208,4] {-} para($c10,$c12,$c20,$c18).
% 171.04/171.24 41456 [hyper,1516,25,280] {-} cong($c10,$c19,$c10,$c19).
% 171.04/171.24 43395 [hyper,1548,9,567] {-} para($c10,$c16,$c17,$c20).
% 171.04/171.24 62943 [hyper,1863,116] {-} circle($c8,$c17,$c20,$c20).
% 171.04/171.24 66351 [hyper,1897,9,169] {-} para($c9,$c15,$c9,$c15).
% 171.04/171.24 66353 [hyper,1897,9,159] {-} para($c9,$c15,$c18,$c17).
% 171.04/171.24 71643 [hyper,2057,25,466] {-} cong($c7,$c19,$c7,$c19).
% 171.04/171.24 101915 [hyper,3136,9,175] {-} para($c6,$c14,$c6,$c14).
% 171.04/171.24 107803 [hyper,3408,9,160] {-} para($c5,$c14,$c19,$c17).
% 171.04/171.24 107852 [hyper,3560,9,181] {-} para($c3,$c13,$c3,$c13).
% 171.04/171.24 107874 [hyper,3634,9,161] {-} para($c2,$c13,$c20,$c17).
% 171.04/171.24 111278 [hyper,25923,67] {-} coll($c12,$c16,$c16).
% 171.04/171.24 111280 [hyper,111278,114] {-} coll($c16,$c16,$c12).
% 171.04/171.24 111283 [hyper,111280,114] {-} coll($c12,$c12,$c16).
% 171.04/171.24 111302 [hyper,111283,3,4380] {-} coll($c20,$c16,$c12).
% 171.04/171.24 111345 [hyper,111302,1] {-} coll($c20,$c12,$c16).
% 171.04/171.24 111837 [hyper,111345,3,17758] {-} coll($c16,$c18,$c20).
% 171.04/171.24 113342 [hyper,29523,68,7082] {-} midp($c12,$c20,$c20).
% 171.04/171.24 113408 [hyper,113342,46,1209,4549] {-} midp($c2,$c20,$c18).
% 171.04/171.24 114016 [hyper,113408,65,1369,230] {-} midp($c2,$c18,$c20).
% 171.04/171.24 120780 [hyper,41456,68,6981] {-} midp($c10,$c19,$c19).
% 171.04/171.24 120786 [hyper,120780,129,30632] {-} midp($c10,$c20,$c20).
% 171.04/171.24 120947 [hyper,120780,46,2455,7007] {-} midp($c5,$c19,$c20).
% 171.04/171.24 121108 [hyper,120786,46,31292,12442] {-} midp($c12,$c20,$c18).
% 171.04/171.24 122149 [hyper,120947,65,1204,1104] {-} midp($c5,$c20,$c19).
% 171.04/171.24 122668 [hyper,121108,46,13514,12334] {-} midp($c9,$c20,$c18).
% 171.04/171.24 126818 [hyper,62943,54,1716] {-} perp($c17,$c20,$c20,$c20).
% 171.04/171.24 134293 [hyper,66351,67] {-} coll($c9,$c15,$c15).
% 171.04/171.24 134294 [hyper,134293,114] {-} coll($c15,$c15,$c9).
% 171.04/171.24 134296 [hyper,134294,114] {-} coll($c9,$c9,$c15).
% 171.04/171.24 134301 [hyper,134296,3,20726] {-} coll($c17,$c15,$c9).
% 171.04/171.24 134343 [hyper,134301,1] {-} coll($c17,$c9,$c15).
% 171.04/171.24 134536 [hyper,134343,3,8522] {-} coll($c15,$c20,$c17).
% 171.04/171.24 135073 [hyper,71643,68,6980] {-} midp($c7,$c19,$c19).
% 171.04/171.24 135432 [hyper,134536,46,122668,66353] {-} midp($c15,$c20,$c17).
% 171.04/171.24 135952 [hyper,135073,129,17853] {-} midp($c7,$c18,$c18).
% 171.04/171.24 136323 [hyper,135432,65,1864,364] {-} midp($c15,$c17,$c20).
% 171.04/171.24 136565 [hyper,135952,46,16554,10025] {-} midp($c10,$c18,$c17).
% 171.04/171.24 138121 [hyper,136565,46,43395,111837] {-} midp($c16,$c18,$c20).
% 171.04/171.24 139061 [hyper,101915,67] {-} coll($c6,$c14,$c14).
% 171.04/171.24 139062 [hyper,139061,114] {-} coll($c14,$c14,$c6).
% 171.04/171.24 139064 [hyper,139062,114] {-} coll($c6,$c6,$c14).
% 171.04/171.24 139083 [hyper,139064,3,3696] {-} coll($c17,$c14,$c6).
% 171.04/171.24 139123 [hyper,139083,1] {-} coll($c17,$c6,$c14).
% 171.04/171.24 139781 [hyper,139123,3,3746] {-} coll($c14,$c20,$c17).
% 171.04/171.24 140482 [hyper,107852,67] {-} coll($c3,$c13,$c13).
% 171.04/171.24 140602 [hyper,139781,46,122149,107803] {-} midp($c14,$c20,$c17).
% 171.04/171.24 140893 [hyper,140482,114] {-} coll($c13,$c13,$c3).
% 171.04/171.24 141144 [hyper,140602,65,1864,364] {-} midp($c14,$c17,$c20).
% 171.04/171.24 141261 [hyper,140893,114] {-} coll($c3,$c3,$c13).
% 171.04/171.24 141328 [hyper,141261,3,3892] {-} coll($c17,$c13,$c3).
% 171.04/171.24 141440 [hyper,141328,1] {-} coll($c17,$c3,$c13).
% 171.04/171.24 142159 [hyper,141440,3,18791] {-} coll($c13,$c18,$c17).
% 171.04/171.24 142712 [hyper,142159,46,114016,107874] {-} midp($c13,$c18,$c17).
% 171.04/171.24 143350 [hyper,142712,45,138121] {-} para($c13,$c16,$c17,$c20).
% 171.04/171.24 177492 [hyper,126818,53,141144] {-} cong($c17,$c14,$c20,$c14).
% 171.04/171.24 177495 [hyper,126818,53,136323] {-} cong($c17,$c15,$c20,$c15).
% 171.04/171.24 615105 [hyper,177495,57,177492] {-} perp($c17,$c20,$c14,$c15).
% 171.04/171.24 808933 [hyper,615105,10,143350] {-} perp($c13,$c16,$c14,$c15).
% 171.04/171.24 808934 [binary,808933.1,113.1] {-} $F.
% 171.04/171.24
% 171.04/171.24 % SZS output end Refutation
% 171.04/171.24 ------------ end of proof -------------
% 171.04/171.24
% 171.04/171.24
% 171.04/171.24 Search stopped by max_proofs option.
% 171.04/171.24
% 171.04/171.24
% 171.04/171.24 Search stopped by max_proofs option.
% 171.04/171.24
% 171.04/171.24 ============ end of search ============
% 171.04/171.24
% 171.04/171.24 That finishes the proof of the theorem.
% 171.04/171.24
% 171.04/171.24 Process 19250 finished Sat Jun 18 03:46:59 2022
%------------------------------------------------------------------------------