%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO638+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n020.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 06:21:16 EDT 2022
% Result : Theorem 40.00s 40.19s
% Output : Refutation 40.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO638+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : sos-script %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 03:13:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.38 ----- Otter 3.2, August 2001 -----
% 0.13/0.38 The process was started by sandbox2 on n020.cluster.edu,
% 0.13/0.38 Sat Jun 18 03:13:04 2022
% 0.13/0.38 The command was "./sos". The process ID is 21164.
% 0.13/0.38
% 0.13/0.38 set(prolog_style_variables).
% 0.13/0.38 set(auto).
% 0.13/0.38 dependent: set(auto1).
% 0.13/0.38 dependent: set(process_input).
% 0.13/0.38 dependent: clear(print_kept).
% 0.13/0.38 dependent: clear(print_new_demod).
% 0.13/0.38 dependent: clear(print_back_demod).
% 0.13/0.38 dependent: clear(print_back_sub).
% 0.13/0.38 dependent: set(control_memory).
% 0.13/0.38 dependent: assign(max_mem, 12000).
% 0.13/0.38 dependent: assign(pick_given_ratio, 4).
% 0.13/0.38 dependent: assign(stats_level, 1).
% 0.13/0.38 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.38 dependent: assign(sos_limit, 5000).
% 0.13/0.38 dependent: assign(max_weight, 60).
% 0.13/0.38 clear(print_given).
% 0.13/0.38
% 0.13/0.38 formula_list(usable).
% 0.13/0.38
% 0.13/0.38 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.38
% 0.13/0.38 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.38 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.38 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.38 clauses in usable.
% 0.13/0.38
% 0.13/0.38 dependent: set(knuth_bendix).
% 0.13/0.38 dependent: set(para_from).
% 0.13/0.38 dependent: set(para_into).
% 0.13/0.38 dependent: clear(para_from_right).
% 0.13/0.38 dependent: clear(para_into_right).
% 0.13/0.38 dependent: set(para_from_vars).
% 0.13/0.38 dependent: set(eq_units_both_ways).
% 0.13/0.38 dependent: set(dynamic_demod_all).
% 0.13/0.38 dependent: set(dynamic_demod).
% 0.13/0.38 dependent: set(order_eq).
% 0.13/0.38 dependent: set(back_demod).
% 0.13/0.38 dependent: set(lrpo).
% 0.13/0.38 dependent: set(hyper_res).
% 0.13/0.38 dependent: set(unit_deletion).
% 0.13/0.38 dependent: set(factor).
% 0.13/0.38
% 0.13/0.38 ------------> process usable:
% 0.13/0.38 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).
% 0.13/0.38
% 0.13/0.38 ------------> process sos:
% 0.13/0.38 Following clause subsumed by 168 during input processing: 0 [copy,168,flip.1] {-} A=A.
% 0.13/0.38 168 back subsumes 146.
% 0.13/0.38 168 back subsumes 145.
% 0.13/0.38 168 back subsumes 144.
% 0.13/0.38 168 back subsumes 143.
% 0.13/0.38
% 0.13/0.38 ======= end of input processing =======
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 Failed to model usable list: disabling FINDER
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 -------------- Softie stats --------------
% 0.20/0.45
% 0.20/0.45 UPDATE_STOP: 300
% 0.20/0.45 SFINDER_TIME_LIMIT: 2
% 0.20/0.45 SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.45 number of clauses in intial UL: 154
% 0.20/0.45 number of clauses initially in problem: 164
% 0.20/0.45 percentage of clauses intially in UL: 93
% 0.20/0.45 percentage of distinct symbols occuring in initial UL: 81
% 0.20/0.45 percent of all initial clauses that are short: 100
% 0.20/0.45 absolute distinct symbol count: 43
% 0.20/0.45 distinct predicate count: 12
% 0.20/0.45 distinct function count: 20
% 0.20/0.45 distinct constant count: 11
% 0.20/0.45
% 0.20/0.45 ---------- no more Softie stats ----------
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 =========== start of search ===========
% 3.80/4.03
% 3.80/4.03
% 3.80/4.03 Changing weight limit from 60 to 56.
% 3.80/4.03
% 3.80/4.03 Resetting weight limit to 56 after 215 givens.
% 3.80/4.03
% 4.63/4.82
% 4.63/4.82
% 4.63/4.82 Changing weight limit from 56 to 55.
% 4.63/4.82
% 4.63/4.82 Resetting weight limit to 55 after 220 givens.
% 4.63/4.82
% 5.43/5.66
% 5.43/5.66
% 5.43/5.66 Changing weight limit from 55 to 54.
% 5.43/5.66
% 5.43/5.66 Resetting weight limit to 54 after 225 givens.
% 5.43/5.66
% 6.64/6.83
% 6.64/6.83
% 6.64/6.83 Changing weight limit from 54 to 50.
% 6.64/6.83
% 6.64/6.83 Resetting weight limit to 50 after 230 givens.
% 6.64/6.83
% 7.36/7.60
% 7.36/7.60
% 7.36/7.60 Changing weight limit from 50 to 49.
% 7.36/7.60
% 7.36/7.60 Resetting weight limit to 49 after 235 givens.
% 7.36/7.60
% 8.08/8.30
% 8.08/8.30
% 8.08/8.30 Changing weight limit from 49 to 45.
% 8.08/8.30
% 8.08/8.30 Resetting weight limit to 45 after 245 givens.
% 8.08/8.30
% 8.39/8.66
% 8.39/8.66
% 8.39/8.66 Changing weight limit from 45 to 37.
% 8.39/8.66
% 8.39/8.66 Resetting weight limit to 37 after 255 givens.
% 8.39/8.66
% 8.71/8.93
% 8.71/8.93
% 8.71/8.93 Changing weight limit from 37 to 36.
% 8.71/8.93
% 8.71/8.93 Resetting weight limit to 36 after 265 givens.
% 8.71/8.93
% 9.03/9.23
% 9.03/9.23
% 9.03/9.23 Changing weight limit from 36 to 35.
% 9.03/9.23
% 9.03/9.23 Resetting weight limit to 35 after 275 givens.
% 9.03/9.23
% 9.23/9.47
% 9.23/9.47
% 9.23/9.47 Changing weight limit from 35 to 34.
% 9.23/9.47
% 9.23/9.47 Resetting weight limit to 34 after 285 givens.
% 9.23/9.47
% 9.43/9.62
% 9.43/9.62
% 9.43/9.62 Changing weight limit from 34 to 31.
% 9.43/9.62
% 9.43/9.62 Resetting weight limit to 31 after 290 givens.
% 9.43/9.62
% 10.10/10.33
% 10.10/10.33
% 10.10/10.33 Changing weight limit from 31 to 30.
% 10.10/10.33
% 10.10/10.33 Modelling stopped after 300 given clauses and 0.00 seconds
% 10.10/10.33
% 10.10/10.33
% 10.10/10.33 Resetting weight limit to 30 after 315 givens.
% 10.10/10.33
% 13.05/13.25
% 13.05/13.25
% 13.05/13.25 Changing weight limit from 30 to 29.
% 13.05/13.25
% 13.05/13.25 Resetting weight limit to 29 after 490 givens.
% 13.05/13.25
% 13.83/14.02
% 13.83/14.02
% 13.83/14.02 Changing weight limit from 29 to 23.
% 13.83/14.02
% 13.83/14.02 Resetting weight limit to 23 after 675 givens.
% 13.83/14.02
% 13.85/14.04
% 13.85/14.04
% 13.85/14.04 Changing weight limit from 23 to 22.
% 13.85/14.04
% 13.85/14.04 Resetting weight limit to 22 after 685 givens.
% 13.85/14.04
% 13.85/14.07
% 13.85/14.07
% 13.85/14.07 Changing weight limit from 22 to 21.
% 13.85/14.07
% 13.85/14.07 Resetting weight limit to 21 after 690 givens.
% 13.85/14.07
% 13.85/14.09
% 13.85/14.09
% 13.85/14.09 Changing weight limit from 21 to 17.
% 13.85/14.09
% 13.85/14.09 Resetting weight limit to 17 after 695 givens.
% 13.85/14.09
% 14.02/14.20
% 14.02/14.20
% 14.02/14.20 Changing weight limit from 17 to 15.
% 14.02/14.20
% 14.02/14.20 Resetting weight limit to 15 after 715 givens.
% 14.02/14.20
% 14.02/14.26
% 14.02/14.26
% 14.02/14.26 Changing weight limit from 15 to 11.
% 14.02/14.26
% 14.02/14.26 Resetting weight limit to 11 after 720 givens.
% 14.02/14.26
% 14.08/14.32
% 14.08/14.32
% 14.08/14.32 Changing weight limit from 11 to 10.
% 14.08/14.32
% 14.08/14.32 Resetting weight limit to 10 after 725 givens.
% 14.08/14.32
% 15.78/15.97
% 15.78/15.97
% 15.78/15.97 Changing weight limit from 10 to 9.
% 15.78/15.97
% 15.78/15.97 Resetting weight limit to 9 after 980 givens.
% 15.78/15.97
% 26.64/26.85
% 26.64/26.85
% 26.64/26.85 Changing weight limit from 9 to 8.
% 26.64/26.85
% 26.64/26.85 Resetting weight limit to 8 after 2150 givens.
% 26.64/26.85
% 28.13/28.31
% 28.13/28.31
% 28.13/28.31 Changing weight limit from 8 to 7.
% 28.13/28.31
% 28.13/28.31 Resetting weight limit to 7 after 2300 givens.
% 28.13/28.31
% 28.13/28.34
% 28.13/28.34
% 28.13/28.34 Changing weight limit from 7 to 5.
% 28.13/28.34
% 28.13/28.34 Resetting weight limit to 5 after 2325 givens.
% 28.13/28.34
% 40.00/40.19
% 40.00/40.19 -- HEY sandbox2, WE HAVE A PROOF!! --
% 40.00/40.19
% 40.00/40.19 ----> UNIT CONFLICT at 38.62 sec ----> 241469 [binary,241468.1,113.1] {-} $F.
% 40.00/40.19
% 40.00/40.19 Length of proof is 143. Level of proof is 20.
% 40.00/40.19
% 40.00/40.19 ---------------- PROOF ----------------
% 40.00/40.19 % SZS status Theorem
% 40.00/40.19 % SZS output start Refutation
% 40.00/40.19
% 40.00/40.19 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 40.00/40.19 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 40.00/40.19 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 40.00/40.19 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 40.00/40.19 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 40.00/40.19 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 40.00/40.19 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 40.00/40.19 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 40.00/40.19 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 40.00/40.19 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 40.00/40.19 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 40.00/40.19 23 [] {+} -cong(A,B,C,D)|cong(A,B,D,C).
% 40.00/40.19 24 [] {+} -cong(A,B,C,D)|cong(C,D,A,B).
% 40.00/40.19 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 40.00/40.19 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 40.00/40.19 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 40.00/40.19 53 [] {+} -perp(A,B,B,C)| -midp(D,A,C)|cong(A,D,B,D).
% 40.00/40.19 56 [] {+} -midp(A,B,C)| -perp(D,A,B,C)|cong(D,B,D,C).
% 40.00/40.19 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 40.00/40.19 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 40.00/40.19 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 40.00/40.19 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 40.00/40.19 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 40.00/40.19 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 40.00/40.19 70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 40.00/40.19 113 [] {+} -perp($c6,$c4,$c7,$c4).
% 40.00/40.19 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 40.00/40.19 124 [factor,45.1.2] {+} -midp(A,B,C)|para(A,A,C,C).
% 40.00/40.19 125 [factor,57.1.2] {+} -cong(A,B,C,B)|perp(A,C,B,B).
% 40.00/40.19 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 40.00/40.19 159 [] {-} midp($c9,$c11,$c10).
% 40.00/40.19 162 [] {-} perp($c9,$c8,$c8,$c7).
% 40.00/40.19 163 [] {-} para($c11,$c7,$c6,$c10).
% 40.00/40.19 164 [] {-} coll($c6,$c8,$c7).
% 40.00/40.19 165 [] {-} midp($c5,$c6,$c7).
% 40.00/40.19 166 [] {-} perp($c4,$c5,$c11,$c10).
% 40.00/40.19 167 [] {-} coll($c4,$c11,$c10).
% 40.00/40.19 175 [hyper,159,70] {-} coll($c9,$c11,$c10).
% 40.00/40.19 176 [hyper,159,69] {-} cong($c9,$c11,$c9,$c10).
% 40.00/40.19 177 [hyper,159,11] {-} midp($c9,$c10,$c11).
% 40.00/40.19 190 [hyper,164,114] {-} coll($c7,$c7,$c6).
% 40.00/40.19 191 [hyper,164,2] {-} coll($c8,$c6,$c7).
% 40.00/40.19 192 [hyper,164,1] {-} coll($c6,$c7,$c8).
% 40.00/40.19 219 [hyper,165,70] {-} coll($c5,$c6,$c7).
% 40.00/40.19 220 [hyper,165,69] {-} cong($c5,$c6,$c5,$c7).
% 40.00/40.19 221 [hyper,165,11] {-} midp($c5,$c7,$c6).
% 40.00/40.19 236 [hyper,167,1] {-} coll($c4,$c10,$c11).
% 40.00/40.19 266 [hyper,175,114] {-} coll($c10,$c10,$c9).
% 40.00/40.19 268 [hyper,175,1] {-} coll($c9,$c10,$c11).
% 40.00/40.19 286 [hyper,177,124] {-} para($c9,$c9,$c11,$c11).
% 40.00/40.19 303 [hyper,177,69] {-} cong($c9,$c10,$c9,$c11).
% 40.00/40.19 304 [hyper,177,64,159] {-} para($c11,$c10,$c10,$c11).
% 40.00/40.19 305 [hyper,177,64,159] {-} para($c10,$c11,$c11,$c10).
% 40.00/40.19 318 [hyper,190,114] {-} coll($c6,$c6,$c7).
% 40.00/40.19 319 [hyper,190,1] {-} coll($c7,$c6,$c7).
% 40.00/40.19 332 [hyper,191,114] {-} coll($c7,$c7,$c8).
% 40.00/40.19 333 [hyper,191,1] {-} coll($c8,$c7,$c6).
% 40.00/40.19 363 [hyper,192,114] {-} coll($c8,$c8,$c6).
% 40.00/40.19 377 [hyper,219,114] {-} coll($c7,$c7,$c5).
% 40.00/40.19 378 [hyper,219,2] {-} coll($c6,$c5,$c7).
% 40.00/40.19 422 [hyper,221,69] {-} cong($c5,$c7,$c5,$c6).
% 40.00/40.19 423 [hyper,221,64,165] {-} para($c6,$c7,$c7,$c6).
% 40.00/40.19 424 [hyper,221,64,165] {-} para($c7,$c6,$c6,$c7).
% 40.00/40.19 453 [hyper,162,8] {-} perp($c8,$c7,$c9,$c8).
% 40.00/40.19 454 [hyper,162,7] {-} perp($c9,$c8,$c7,$c8).
% 40.00/40.19 485 [hyper,236,114] {-} coll($c11,$c11,$c4).
% 40.00/40.19 499 [hyper,266,114] {-} coll($c9,$c9,$c10).
% 40.00/40.19 529 [hyper,163,5] {-} para($c6,$c10,$c11,$c7).
% 40.00/40.19 547 [hyper,268,114] {-} coll($c11,$c11,$c9).
% 40.00/40.19 561 [hyper,318,1] {-} coll($c6,$c7,$c6).
% 40.00/40.19 575 [hyper,319,114] {-} coll($c7,$c7,$c7).
% 40.00/40.19 592 [hyper,332,114] {-} coll($c8,$c8,$c7).
% 40.00/40.19 595 [hyper,332,1] {-} coll($c7,$c8,$c7).
% 40.00/40.19 609 [hyper,166,7] {-} perp($c4,$c5,$c10,$c11).
% 40.00/40.19 627 [hyper,333,2] {-} coll($c7,$c8,$c6).
% 40.00/40.19 668 [hyper,377,114] {-} coll($c5,$c5,$c7).
% 40.00/40.19 672 [hyper,377,3,332] {-} coll($c5,$c8,$c7).
% 40.00/40.19 728 [hyper,378,1] {-} coll($c6,$c7,$c5).
% 40.00/40.19 852 [hyper,485,1] {-} coll($c11,$c4,$c11).
% 40.00/40.19 955 [hyper,499,1] {-} coll($c9,$c10,$c9).
% 40.00/40.19 1058 [hyper,547,1] {-} coll($c11,$c9,$c11).
% 40.00/40.19 1121 [hyper,575,3,377] {-} coll($c5,$c7,$c7).
% 40.00/40.19 1251 [hyper,176,23] {-} cong($c9,$c11,$c10,$c9).
% 40.00/40.19 1268 [hyper,668,1] {-} coll($c5,$c7,$c5).
% 40.00/40.19 1294 [hyper,672,1] {-} coll($c5,$c7,$c8).
% 40.00/40.19 1401 [hyper,728,114] {-} coll($c5,$c5,$c6).
% 40.00/40.19 1404 [hyper,728,3,561] {-} coll($c5,$c6,$c6).
% 40.00/40.19 1702 [hyper,852,114] {-} coll($c11,$c11,$c11).
% 40.00/40.19 1809 [hyper,955,114] {-} coll($c9,$c9,$c9).
% 40.00/40.19 1812 [hyper,955,2] {-} coll($c10,$c9,$c9).
% 40.00/40.19 2033 [hyper,1058,2] {-} coll($c9,$c11,$c11).
% 40.00/40.19 2271 [hyper,1268,3,1121] {-} coll($c7,$c5,$c5).
% 40.00/40.19 2345 [hyper,1294,114] {-} coll($c8,$c8,$c5).
% 40.00/40.19 3690 [hyper,220,23] {-} cong($c5,$c6,$c7,$c5).
% 40.00/40.19 3838 [hyper,286,5] {-} para($c11,$c11,$c9,$c9).
% 40.00/40.19 3858 [hyper,303,25,176] {-} cong($c9,$c11,$c9,$c11).
% 40.00/40.19 3966 [hyper,305,6,304] {-} para($c10,$c11,$c10,$c11).
% 40.00/40.19 4134 [hyper,422,25,220] {-} cong($c5,$c6,$c5,$c6).
% 40.00/40.19 4135 [hyper,422,25,220] {-} cong($c5,$c7,$c5,$c7).
% 40.00/40.19 4282 [hyper,424,6,423] {-} para($c7,$c6,$c7,$c6).
% 40.00/40.19 4299 [hyper,453,9,162] {-} para($c9,$c8,$c9,$c8).
% 40.00/40.19 4300 [hyper,453,9,162] {-} para($c8,$c7,$c8,$c7).
% 40.00/40.19 4319 [hyper,454,8] {-} perp($c7,$c8,$c9,$c8).
% 40.00/40.19 4337 [hyper,529,6,163] {-} para($c11,$c7,$c11,$c7).
% 40.00/40.19 4338 [hyper,529,6,163] {-} para($c6,$c10,$c6,$c10).
% 40.00/40.19 4589 [hyper,1251,24] {-} cong($c10,$c9,$c9,$c11).
% 40.00/40.19 4791 [hyper,3690,24] {-} cong($c7,$c5,$c5,$c6).
% 40.00/40.19 5084 [hyper,3858,125] {-} perp($c9,$c9,$c11,$c11).
% 40.00/40.19 5091 [hyper,3858,68,2033] {-} midp($c9,$c11,$c11).
% 40.00/40.19 5171 [hyper,5091,64,177] {-} para($c10,$c11,$c11,$c11).
% 40.00/40.19 5173 [hyper,5091,64,177] {-} para($c11,$c10,$c11,$c11).
% 40.00/40.19 5174 [hyper,5091,64,159] {-} para($c11,$c11,$c11,$c10).
% 40.00/40.19 5760 [hyper,4134,68,1404] {-} midp($c5,$c6,$c6).
% 40.00/40.19 5884 [hyper,4135,68,1121] {-} midp($c5,$c7,$c7).
% 40.00/40.19 5992 [hyper,5884,64,165] {-} para($c7,$c6,$c7,$c7).
% 40.00/40.19 6257 [hyper,4299,67] {-} coll($c9,$c8,$c8).
% 40.00/40.19 6259 [hyper,4299,4] {-} para($c9,$c8,$c8,$c9).
% 40.00/40.19 6410 [hyper,6257,114] {-} coll($c8,$c8,$c9).
% 40.00/40.19 6425 [hyper,6410,114] {-} coll($c9,$c9,$c8).
% 40.00/40.19 6427 [hyper,6410,3,592] {-} coll($c7,$c9,$c8).
% 40.00/40.19 6429 [hyper,6410,3,2345] {-} coll($c9,$c5,$c8).
% 40.00/40.19 6430 [hyper,6410,3,592] {-} coll($c9,$c7,$c8).
% 40.00/40.19 6431 [hyper,6410,3,363] {-} coll($c9,$c6,$c8).
% 40.00/40.19 6461 [hyper,6425,3,1809] {-} coll($c9,$c8,$c9).
% 40.00/40.19 6534 [hyper,6427,1] {-} coll($c7,$c8,$c9).
% 40.00/40.19 6562 [hyper,6429,1] {-} coll($c9,$c8,$c5).
% 40.00/40.19 6610 [hyper,6430,1] {-} coll($c9,$c8,$c7).
% 40.00/40.19 6623 [hyper,6431,1] {-} coll($c9,$c8,$c6).
% 40.00/40.19 6809 [hyper,6534,3,627] {-} coll($c6,$c9,$c7).
% 40.00/40.19 6810 [hyper,6534,3,595] {-} coll($c7,$c9,$c7).
% 40.00/40.19 6866 [hyper,6610,3,6562] {-} coll($c7,$c5,$c9).
% 40.00/40.19 6886 [hyper,6623,3,6461] {-} coll($c6,$c9,$c9).
% 40.00/40.19 14892 [hyper,4319,9,454] {-} para($c7,$c8,$c7,$c8).
% 40.00/40.19 14896 [hyper,4337,129,5091] {-} midp($c9,$c7,$c7).
% 40.00/40.19 15051 [hyper,14896,129,4282] {-} midp($c9,$c6,$c6).
% 40.00/40.19 15141 [hyper,14896,64,5091] {-} para($c7,$c11,$c7,$c11).
% 40.00/40.19 15145 [hyper,14896,45,5884] {-} para($c5,$c9,$c7,$c7).
% 40.00/40.19 15266 [hyper,15051,45,5760] {-} para($c5,$c9,$c6,$c6).
% 40.00/40.19 15276 [hyper,4338,129,5760] {-} midp($c5,$c10,$c10).
% 40.00/40.19 15434 [hyper,15276,129,3966] {-} midp($c5,$c11,$c11).
% 40.00/40.19 16489 [hyper,4589,25,1251] {-} cong($c10,$c9,$c10,$c9).
% 40.00/40.19 16766 [hyper,4791,25,3690] {-} cong($c7,$c5,$c7,$c5).
% 40.00/40.19 16906 [hyper,5084,10,3838] {-} perp($c11,$c11,$c11,$c11).
% 40.00/40.19 17499 [hyper,5174,65,15434,5173] {-} midp($c5,$c10,$c11).
% 40.00/40.19 17556 [hyper,17499,56,609] {-} cong($c4,$c10,$c4,$c11).
% 40.00/40.19 21087 [hyper,14892,129,14896] {-} midp($c9,$c8,$c8).
% 40.00/40.19 21305 [hyper,21087,64,5091] {-} para($c8,$c11,$c8,$c11).
% 40.00/40.19 21308 [hyper,21087,46,6259,6410] {-} midp($c8,$c8,$c9).
% 40.00/40.19 21461 [hyper,21308,11] {-} midp($c8,$c9,$c8).
% 40.00/40.19 21541 [hyper,21461,46,4300,6810] {-} midp($c7,$c9,$c7).
% 40.00/40.19 21626 [hyper,21541,46,5992,6809] {-} midp($c6,$c9,$c7).
% 40.00/40.19 21629 [hyper,21541,11] {-} midp($c7,$c7,$c9).
% 40.00/40.19 21719 [hyper,21626,11] {-} midp($c6,$c7,$c9).
% 40.00/40.19 22017 [hyper,21629,45,221] {-} para($c7,$c5,$c9,$c6).
% 40.00/40.19 22236 [hyper,21719,45,221] {-} para($c5,$c6,$c6,$c9).
% 40.00/40.19 24932 [hyper,15145,5] {-} para($c7,$c7,$c5,$c9).
% 40.00/40.19 30532 [hyper,16489,68,1812] {-} midp($c10,$c9,$c9).
% 40.00/40.19 30538 [hyper,30532,129,4299] {-} midp($c10,$c8,$c8).
% 40.00/40.19 30711 [hyper,30538,129,4300] {-} midp($c10,$c7,$c7).
% 40.00/40.19 30874 [hyper,30711,129,15141] {-} midp($c10,$c11,$c11).
% 40.00/40.19 31231 [hyper,30874,46,5171,1702] {-} midp($c11,$c11,$c11).
% 40.00/40.19 32959 [hyper,31231,129,4337] {-} midp($c11,$c7,$c7).
% 40.00/40.19 36069 [hyper,32959,69] {-} cong($c11,$c7,$c11,$c7).
% 40.00/40.19 37397 [hyper,16766,68,2271] {-} midp($c7,$c5,$c5).
% 40.00/40.19 38072 [hyper,17556,68,236] {-} midp($c4,$c10,$c11).
% 40.00/40.19 38080 [hyper,38072,129,5171] {-} midp($c4,$c11,$c11).
% 40.00/40.19 38988 [hyper,38080,53,16906] {-} cong($c11,$c4,$c11,$c4).
% 40.00/40.19 47743 [hyper,24932,46,37397,6866] {-} midp($c7,$c5,$c9).
% 40.00/40.19 48008 [hyper,47743,46,22017,1401] {-} midp($c5,$c5,$c6).
% 40.00/40.19 48483 [hyper,48008,65,15266,22236] {-} midp($c5,$c9,$c6).
% 40.00/40.19 50746 [hyper,48483,46,22236,6886] {-} midp($c6,$c9,$c9).
% 40.00/40.19 53464 [hyper,50746,129,4299] {-} midp($c6,$c8,$c8).
% 40.00/40.19 55361 [hyper,53464,129,21305] {-} midp($c6,$c11,$c11).
% 40.00/40.19 63791 [hyper,55361,45,38080] {-} para($c6,$c4,$c11,$c11).
% 40.00/40.19 212654 [hyper,38988,57,36069] {-} perp($c11,$c11,$c7,$c4).
% 40.00/40.19 241468 [hyper,212654,10,63791] {-} perp($c6,$c4,$c7,$c4).
% 40.00/40.19 241469 [binary,241468.1,113.1] {-} $F.
% 40.00/40.19
% 40.00/40.19 % SZS output end Refutation
% 40.00/40.19 ------------ end of proof -------------
% 40.00/40.19
% 40.00/40.19
% 40.00/40.19 Search stopped by max_proofs option.
% 40.00/40.19
% 40.00/40.19
% 40.00/40.19 Search stopped by max_proofs option.
% 40.00/40.19
% 40.00/40.19 ============ end of search ============
% 40.00/40.19
% 40.00/40.19 That finishes the proof of the theorem.
% 40.00/40.19
% 40.00/40.19 Process 21164 finished Sat Jun 18 03:13:43 2022
%------------------------------------------------------------------------------