TSTP Solution File: GEO656+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO656+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n005.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 06:21:22 EDT 2022
% Result : Theorem 21.44s 21.64s
% Output : Refutation 21.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO656+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n005.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 00:14:53 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 n005.cluster.edu,
% 0.18/0.36 Sat Jun 18 00:14:53 2022
% 0.18/0.36 The command was "./sos". The process ID is 20636.
% 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 162 during input processing: 0 [copy,162,flip.1] {-} A=A.
% 0.18/0.36 162 back subsumes 146.
% 0.18/0.36 162 back subsumes 145.
% 0.18/0.36 162 back subsumes 144.
% 0.18/0.36 162 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: 158
% 0.18/0.43 percentage of clauses intially in UL: 97
% 0.18/0.43 percentage of distinct symbols occuring in initial UL: 94
% 0.18/0.43 percent of all initial clauses that are short: 100
% 0.18/0.43 absolute distinct symbol count: 38
% 0.18/0.43 distinct predicate count: 12
% 0.18/0.43 distinct function count: 20
% 0.18/0.43 distinct constant count: 6
% 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 ===========
% 4.59/4.83
% 4.59/4.83
% 4.59/4.83 Changing weight limit from 60 to 55.
% 4.59/4.83
% 4.59/4.83 Resetting weight limit to 55 after 170 givens.
% 4.59/4.83
% 6.45/6.66
% 6.45/6.66
% 6.45/6.66 Changing weight limit from 55 to 50.
% 6.45/6.66
% 6.45/6.66 Resetting weight limit to 50 after 175 givens.
% 6.45/6.66
% 7.68/7.86
% 7.68/7.86
% 7.68/7.86 Changing weight limit from 50 to 49.
% 7.68/7.86
% 7.68/7.86 Resetting weight limit to 49 after 180 givens.
% 7.68/7.86
% 8.68/8.89
% 8.68/8.89
% 8.68/8.89 Changing weight limit from 49 to 37.
% 8.68/8.89
% 8.68/8.89 Resetting weight limit to 37 after 185 givens.
% 8.68/8.89
% 9.39/9.61
% 9.39/9.61
% 9.39/9.61 Changing weight limit from 37 to 34.
% 9.39/9.61
% 9.39/9.61 Resetting weight limit to 34 after 190 givens.
% 9.39/9.61
% 9.81/9.99
% 9.81/9.99
% 9.81/9.99 Changing weight limit from 34 to 33.
% 9.81/9.99
% 9.81/9.99 Resetting weight limit to 33 after 200 givens.
% 9.81/9.99
% 9.90/10.09
% 9.90/10.09
% 9.90/10.09 Changing weight limit from 33 to 31.
% 9.90/10.09
% 9.90/10.09 Resetting weight limit to 31 after 205 givens.
% 9.90/10.09
% 10.55/10.75
% 10.55/10.75
% 10.55/10.75 Changing weight limit from 31 to 30.
% 10.55/10.75
% 10.55/10.75 Resetting weight limit to 30 after 220 givens.
% 10.55/10.75
% 11.14/11.33
% 11.14/11.33
% 11.14/11.33 Changing weight limit from 30 to 29.
% 11.14/11.33
% 11.14/11.33 Resetting weight limit to 29 after 255 givens.
% 11.14/11.33
% 11.29/11.49
% 11.29/11.49
% 11.29/11.49 Changing weight limit from 29 to 26.
% 11.29/11.49
% 11.29/11.49 Resetting weight limit to 26 after 265 givens.
% 11.29/11.49
% 11.29/11.55
% 11.29/11.55
% 11.29/11.55 Changing weight limit from 26 to 23.
% 11.29/11.55
% 11.29/11.55 Modelling stopped after 300 given clauses and 0.00 seconds
% 11.29/11.55
% 11.29/11.55
% 11.29/11.55 Resetting weight limit to 23 after 300 givens.
% 11.29/11.55
% 11.40/11.58
% 11.40/11.58
% 11.40/11.58 Changing weight limit from 23 to 18.
% 11.40/11.58
% 11.40/11.58 Resetting weight limit to 18 after 305 givens.
% 11.40/11.58
% 11.89/12.11
% 11.89/12.11
% 11.89/12.11 Changing weight limit from 18 to 17.
% 11.89/12.11
% 11.89/12.11 Resetting weight limit to 17 after 405 givens.
% 11.89/12.11
% 12.05/12.31
% 12.05/12.31
% 12.05/12.31 Changing weight limit from 17 to 15.
% 12.05/12.31
% 12.05/12.31 Resetting weight limit to 15 after 410 givens.
% 12.05/12.31
% 12.21/12.42
% 12.21/12.42
% 12.21/12.42 Changing weight limit from 15 to 14.
% 12.21/12.42
% 12.21/12.42 Resetting weight limit to 14 after 415 givens.
% 12.21/12.42
% 13.12/13.34
% 13.12/13.34
% 13.12/13.34 Changing weight limit from 14 to 11.
% 13.12/13.34
% 13.12/13.34 Resetting weight limit to 11 after 430 givens.
% 13.12/13.34
% 13.50/13.71
% 13.50/13.71
% 13.50/13.71 Changing weight limit from 11 to 10.
% 13.50/13.71
% 13.50/13.71 Resetting weight limit to 10 after 445 givens.
% 13.50/13.71
% 15.29/15.51
% 15.29/15.51
% 15.29/15.51 Changing weight limit from 10 to 9.
% 15.29/15.51
% 15.29/15.51 Resetting weight limit to 9 after 490 givens.
% 15.29/15.51
% 21.44/21.64
% 21.44/21.64 -- HEY sandbox2, WE HAVE A PROOF!! --
% 21.44/21.64
% 21.44/21.64 ----> UNIT CONFLICT at 20.96 sec ----> 66356 [binary,66355.1,113.1] {-} $F.
% 21.44/21.64
% 21.44/21.64 Length of proof is 124. Level of proof is 25.
% 21.44/21.64
% 21.44/21.64 ---------------- PROOF ----------------
% 21.44/21.64 % SZS status Theorem
% 21.44/21.64 % SZS output start Refutation
% 21.44/21.64
% 21.44/21.64 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 21.44/21.64 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 21.44/21.64 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 21.44/21.64 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 21.44/21.64 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 21.44/21.64 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 21.44/21.64 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 21.44/21.64 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 21.44/21.64 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 21.44/21.64 12 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|circle(A,B,C,D).
% 21.44/21.64 19 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(C,D,A,B,G,H,E,F).
% 21.44/21.64 21 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(A,B,E,F,C,D,G,H).
% 21.44/21.64 23 [] {+} -cong(A,B,C,D)|cong(A,B,D,C).
% 21.44/21.64 24 [] {+} -cong(A,B,C,D)|cong(C,D,A,B).
% 21.44/21.64 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 21.44/21.64 39 [] {+} -eqangle(A,B,C,D,E,F,C,D)|para(A,B,E,F).
% 21.44/21.64 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 21.44/21.64 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 21.44/21.64 53 [] {+} -perp(A,B,B,C)| -midp(D,A,C)|cong(A,D,B,D).
% 21.44/21.64 54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 21.44/21.64 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 21.44/21.64 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 21.44/21.64 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 21.44/21.64 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 21.44/21.64 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 21.44/21.64 70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 21.44/21.64 73 [] {+} -eqangle(A,B,C,D,E,F,G,H)| -para(E,F,G,H)|para(A,B,C,D).
% 21.44/21.64 89 [] {+} -midp(A,B,C)| -midp(D,E,F)| -coll(E,B,C)| -coll(F,B,C)|midp($f7(B,C,E,F,A,D,G),B,G).
% 21.44/21.64 113 [] {+} -para($c2,$c1,$c6,$c5).
% 21.44/21.64 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 21.44/21.64 116 [factor,12.1.2] {+} -cong(A,B,A,C)|circle(A,B,C,C).
% 21.44/21.64 124 [factor,45.1.2] {+} -midp(A,B,C)|para(A,A,C,C).
% 21.44/21.64 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 21.44/21.64 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 21.44/21.64 135 [factor,89.1.2] {+} -midp(A,B,C)| -coll(B,B,C)| -coll(C,B,C)|midp($f7(B,C,B,C,A,A,D),B,D).
% 21.44/21.64 159 [] {-} midp($c3,$c5,$c6).
% 21.44/21.64 160 [] {-} eqangle($c2,$c3,$c3,$c6,$c2,$c3,$c3,$c4).
% 21.44/21.64 161 [] {-} eqangle($c1,$c3,$c3,$c5,$c1,$c3,$c3,$c4).
% 21.44/21.64 169 [hyper,159,70] {-} coll($c3,$c5,$c6).
% 21.44/21.64 170 [hyper,159,69] {-} cong($c3,$c5,$c3,$c6).
% 21.44/21.64 171 [hyper,159,11] {-} midp($c3,$c6,$c5).
% 21.44/21.64 184 [hyper,169,114] {-} coll($c6,$c6,$c3).
% 21.44/21.64 185 [hyper,169,2] {-} coll($c5,$c3,$c6).
% 21.44/21.64 186 [hyper,169,1] {-} coll($c3,$c6,$c5).
% 21.44/21.64 204 [hyper,171,124] {-} para($c3,$c3,$c5,$c5).
% 21.44/21.64 213 [hyper,171,69] {-} cong($c3,$c6,$c3,$c5).
% 21.44/21.64 214 [hyper,171,64,159] {-} para($c5,$c6,$c6,$c5).
% 21.44/21.64 228 [hyper,184,114] {-} coll($c3,$c3,$c6).
% 21.44/21.64 229 [hyper,184,1] {-} coll($c6,$c3,$c6).
% 21.44/21.64 242 [hyper,160,21] {-} eqangle($c2,$c3,$c2,$c3,$c3,$c6,$c3,$c4).
% 21.44/21.64 244 [hyper,160,19] {-} eqangle($c3,$c6,$c2,$c3,$c3,$c4,$c2,$c3).
% 21.44/21.64 278 [hyper,185,114] {-} coll($c6,$c6,$c5).
% 21.44/21.64 292 [hyper,186,114] {-} coll($c5,$c5,$c3).
% 21.44/21.64 306 [hyper,228,1] {-} coll($c3,$c6,$c3).
% 21.44/21.64 320 [hyper,229,2] {-} coll($c3,$c6,$c6).
% 21.44/21.64 333 [hyper,161,21] {-} eqangle($c1,$c3,$c1,$c3,$c3,$c5,$c3,$c4).
% 21.44/21.64 335 [hyper,161,19] {-} eqangle($c3,$c5,$c1,$c3,$c3,$c4,$c1,$c3).
% 21.44/21.64 369 [hyper,278,114] {-} coll($c5,$c5,$c6).
% 21.44/21.64 370 [hyper,278,1] {-} coll($c6,$c5,$c6).
% 21.44/21.64 397 [hyper,292,1] {-} coll($c5,$c3,$c5).
% 21.44/21.64 466 [hyper,306,3,186] {-} coll($c5,$c3,$c3).
% 21.44/21.64 468 [hyper,306,2] {-} coll($c6,$c3,$c3).
% 21.44/21.64 560 [hyper,370,135,159,369] {-} midp($f7($c5,$c6,$c5,$c6,$c3,$c3,A),$c5,A).
% 21.44/21.64 600 [hyper,397,2] {-} coll($c3,$c5,$c5).
% 21.44/21.64 901 [hyper,170,116] {-} circle($c3,$c5,$c6,$c6).
% 21.44/21.64 903 [hyper,170,23] {-} cong($c3,$c5,$c6,$c3).
% 21.44/21.64 1061 [hyper,204,5] {-} para($c5,$c5,$c3,$c3).
% 21.44/21.64 1081 [hyper,213,25,170] {-} cong($c3,$c5,$c3,$c5).
% 21.44/21.64 1082 [hyper,213,25,170] {-} cong($c3,$c6,$c3,$c6).
% 21.44/21.64 1318 [hyper,901,54,169] {-} perp($c5,$c6,$c6,$c6).
% 21.44/21.64 1336 [hyper,903,24] {-} cong($c6,$c3,$c3,$c5).
% 21.44/21.64 1673 [hyper,1081,68,600] {-} midp($c3,$c5,$c5).
% 21.44/21.64 1729 [hyper,1673,64,171] {-} para($c6,$c5,$c5,$c5).
% 21.44/21.64 1732 [hyper,1673,64,159] {-} para($c5,$c5,$c5,$c6).
% 21.44/21.64 1757 [hyper,1082,68,320] {-} midp($c3,$c6,$c6).
% 21.44/21.64 2205 [hyper,1336,25,903] {-} cong($c6,$c3,$c6,$c3).
% 21.44/21.64 2631 [hyper,1729,6,1061] {-} para($c6,$c5,$c3,$c3).
% 21.44/21.64 2796 [hyper,1732,10,1318] {-} perp($c5,$c5,$c6,$c6).
% 21.44/21.64 3672 [hyper,2205,68,468] {-} midp($c6,$c3,$c3).
% 21.44/21.65 4180 [hyper,2631,46,3672,466] {-} midp($c5,$c3,$c3).
% 21.44/21.65 10274 [hyper,244,39] {-} para($c3,$c6,$c3,$c4).
% 21.44/21.65 10276 [hyper,10274,73,242] {-} para($c2,$c3,$c2,$c3).
% 21.44/21.65 10277 [hyper,10274,67] {-} coll($c3,$c6,$c4).
% 21.44/21.65 10279 [hyper,10274,5] {-} para($c3,$c4,$c3,$c6).
% 21.44/21.65 10281 [hyper,10277,114] {-} coll($c4,$c4,$c3).
% 21.44/21.65 10296 [hyper,10277,3,306] {-} coll($c3,$c4,$c3).
% 21.44/21.65 10298 [hyper,10277,3,320] {-} coll($c4,$c6,$c3).
% 21.44/21.65 10300 [hyper,10277,3,186] {-} coll($c4,$c5,$c3).
% 21.44/21.65 10301 [hyper,10277,2] {-} coll($c6,$c3,$c4).
% 21.44/21.65 10302 [hyper,10277,1] {-} coll($c3,$c4,$c6).
% 21.44/21.65 10303 [hyper,10281,114] {-} coll($c3,$c3,$c4).
% 21.44/21.65 10521 [hyper,10301,114] {-} coll($c4,$c4,$c6).
% 21.44/21.65 10669 [hyper,335,39] {-} para($c3,$c5,$c3,$c4).
% 21.44/21.65 11576 [hyper,10276,67] {-} coll($c2,$c3,$c3).
% 21.44/21.65 11578 [hyper,10276,4] {-} para($c2,$c3,$c3,$c2).
% 21.44/21.65 11646 [hyper,11576,114] {-} coll($c3,$c3,$c2).
% 21.44/21.65 11690 [hyper,560,128] {-} para($c5,$c5,A,A).
% 21.44/21.65 11787 [hyper,11646,114] {-} coll($c2,$c2,$c3).
% 21.44/21.65 11801 [hyper,11646,3,10303] {-} coll($c2,$c4,$c3).
% 21.44/21.65 11814 [hyper,11787,1] {-} coll($c2,$c3,$c2).
% 21.44/21.65 11953 [hyper,11801,1] {-} coll($c2,$c3,$c4).
% 21.44/21.65 12118 [hyper,11953,3,11814] {-} coll($c2,$c4,$c2).
% 21.44/21.65 13292 [hyper,10279,65,4180,10274] {-} midp($c5,$c6,$c4).
% 21.44/21.65 13297 [hyper,10279,6,10274] {-} para($c3,$c6,$c3,$c6).
% 21.44/21.65 13298 [hyper,10279,6,10274] {-} para($c3,$c4,$c3,$c4).
% 21.44/21.65 13299 [hyper,10279,4] {-} para($c3,$c4,$c6,$c3).
% 21.44/21.65 13430 [hyper,13292,64,4180] {-} para($c6,$c3,$c4,$c3).
% 21.44/21.65 13436 [hyper,13292,45,1757] {-} para($c5,$c3,$c4,$c6).
% 21.44/21.65 14602 [hyper,10669,73,333] {-} para($c1,$c3,$c1,$c3).
% 21.44/21.65 14665 [hyper,11578,5] {-} para($c3,$c2,$c2,$c3).
% 21.44/21.65 15011 [hyper,11690,6,1729] {-} para($c6,$c5,A,A).
% 21.44/21.65 15015 [hyper,11690,5] {-} para(A,A,$c5,$c5).
% 21.44/21.65 15018 [hyper,13297,129,4180] {-} midp($c5,$c6,$c6).
% 21.44/21.65 15266 [hyper,15018,46,214,278] {-} midp($c6,$c6,$c5).
% 21.44/21.65 16745 [hyper,13298,129,4180] {-} midp($c5,$c4,$c4).
% 21.44/21.65 16746 [hyper,13298,129,3672] {-} midp($c6,$c4,$c4).
% 21.44/21.65 17326 [hyper,13299,46,1757,10298] {-} midp($c4,$c6,$c3).
% 21.44/21.65 17327 [hyper,13299,46,159,10300] {-} midp($c4,$c5,$c3).
% 21.44/21.65 17587 [hyper,17326,45,15266] {-} para($c4,$c6,$c3,$c5).
% 21.44/21.65 17590 [hyper,17326,45,15018] {-} para($c4,$c5,$c3,$c6).
% 21.44/21.65 17857 [hyper,17327,11] {-} midp($c4,$c3,$c5).
% 21.44/21.65 18480 [hyper,13430,46,16746,10296] {-} midp($c3,$c4,$c3).
% 21.44/21.65 18773 [hyper,18480,46,10279,10521] {-} midp($c4,$c4,$c6).
% 21.44/21.65 19686 [hyper,18773,64,17857] {-} para($c4,$c3,$c6,$c5).
% 21.44/21.65 21991 [hyper,13436,46,16745,10302] {-} midp($c3,$c4,$c6).
% 21.44/21.65 22182 [hyper,21991,11] {-} midp($c3,$c6,$c4).
% 21.44/21.65 22574 [hyper,22182,129,13430] {-} midp($c3,$c3,$c3).
% 21.44/21.65 26084 [hyper,14602,67] {-} coll($c1,$c3,$c3).
% 21.44/21.65 26086 [hyper,14602,4] {-} para($c1,$c3,$c3,$c1).
% 21.44/21.65 26087 [hyper,26084,114] {-} coll($c3,$c3,$c1).
% 21.44/21.65 26091 [hyper,26087,3,11646] {-} coll($c2,$c1,$c3).
% 21.44/21.65 26119 [hyper,26091,1] {-} coll($c2,$c3,$c1).
% 21.44/21.65 26151 [hyper,26119,3,11814] {-} coll($c1,$c2,$c2).
% 21.44/21.65 26442 [hyper,14665,6,11578] {-} para($c3,$c2,$c3,$c2).
% 21.44/21.65 26538 [hyper,15015,10,2796] {-} perp(A,A,$c6,$c6).
% 21.44/21.65 26543 [hyper,15015,6,11690] {-} para(A,A,B,B).
% 21.44/21.65 27380 [hyper,19686,6,15011] {-} para($c4,$c3,A,A).
% 21.44/21.65 28071 [hyper,26086,5] {-} para($c3,$c1,$c1,$c3).
% 21.44/21.65 28072 [hyper,26442,129,22574] {-} midp($c3,$c2,$c2).
% 21.44/21.65 28085 [hyper,26442,46,18480,12118] {-} midp($c2,$c4,$c2).
% 21.44/21.65 28242 [hyper,28072,64,1673] {-} para($c2,$c5,$c2,$c5).
% 21.44/21.65 28245 [hyper,28072,46,14665,11787] {-} midp($c2,$c2,$c3).
% 21.44/21.65 29214 [hyper,28085,69] {-} cong($c2,$c4,$c2,$c2).
% 21.44/21.65 29360 [hyper,28245,69] {-} cong($c2,$c2,$c2,$c3).
% 21.44/21.65 29928 [hyper,26538,8] {-} perp($c6,$c6,A,A).
% 21.44/21.65 34502 [hyper,28071,6,26086] {-} para($c3,$c1,$c3,$c1).
% 21.44/21.65 34891 [hyper,29360,25,29214] {-} cong($c2,$c4,$c2,$c3).
% 21.44/21.65 35671 [hyper,29928,10,26543] {-} perp(A,A,B,B).
% 21.44/21.65 41989 [hyper,34891,68,11801] {-} midp($c2,$c4,$c3).
% 21.44/21.65 41999 [hyper,41989,129,27380] {-} midp($c2,$c3,$c3).
% 21.44/21.65 42195 [hyper,41989,65,17590,17587] {-} midp($c2,$c5,$c6).
% 21.44/21.65 42738 [hyper,41999,129,34502] {-} midp($c2,$c1,$c1).
% 21.44/21.65 56910 [hyper,35671,53,42738] {-} cong($c1,$c2,$c1,$c2).
% 21.44/21.65 65277 [hyper,56910,68,26151] {-} midp($c1,$c2,$c2).
% 21.44/21.65 65288 [hyper,65277,129,28242] {-} midp($c1,$c5,$c5).
% 21.44/21.65 66355 [hyper,65288,45,42195] {-} para($c2,$c1,$c6,$c5).
% 21.44/21.65 66356 [binary,66355.1,113.1] {-} $F.
% 21.44/21.65
% 21.44/21.65 % SZS output end Refutation
% 21.44/21.65 ------------ end of proof -------------
% 21.44/21.65
% 21.44/21.65
% 21.44/21.65 Search stopped by max_proofs option.
% 21.44/21.65
% 21.44/21.65
% 21.44/21.65 Search stopped by max_proofs option.
% 21.44/21.65
% 21.44/21.65 ============ end of search ============
% 21.44/21.65
% 21.44/21.65 That finishes the proof of the theorem.
% 21.44/21.65
% 21.44/21.65 Process 20636 finished Sat Jun 18 00:15:15 2022
%------------------------------------------------------------------------------