TSTP Solution File: GEO591+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO591+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n026.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 06:21:03 EDT 2022
% Result : Theorem 25.00s 25.24s
% Output : Refutation 25.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO591+1 : TPTP v8.1.0. Released v7.5.0.
% 0.13/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n026.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 : Fri Jun 17 23:11:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.37 ----- Otter 3.2, August 2001 -----
% 0.20/0.37 The process was started by sandbox on n026.cluster.edu,
% 0.20/0.37 Fri Jun 17 23:11:09 2022
% 0.20/0.37 The command was "./sos". The process ID is 9333.
% 0.20/0.37
% 0.20/0.37 set(prolog_style_variables).
% 0.20/0.37 set(auto).
% 0.20/0.37 dependent: set(auto1).
% 0.20/0.37 dependent: set(process_input).
% 0.20/0.37 dependent: clear(print_kept).
% 0.20/0.37 dependent: clear(print_new_demod).
% 0.20/0.37 dependent: clear(print_back_demod).
% 0.20/0.37 dependent: clear(print_back_sub).
% 0.20/0.37 dependent: set(control_memory).
% 0.20/0.37 dependent: assign(max_mem, 12000).
% 0.20/0.37 dependent: assign(pick_given_ratio, 4).
% 0.20/0.37 dependent: assign(stats_level, 1).
% 0.20/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.37 dependent: assign(sos_limit, 5000).
% 0.20/0.37 dependent: assign(max_weight, 60).
% 0.20/0.37 clear(print_given).
% 0.20/0.37
% 0.20/0.37 formula_list(usable).
% 0.20/0.37
% 0.20/0.37 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.20/0.37
% 0.20/0.37 This ia a non-Horn set with equality. The strategy will be
% 0.20/0.37 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.20/0.37 unit deletion, with positive clauses in sos and nonpositive
% 0.20/0.37 clauses in usable.
% 0.20/0.37
% 0.20/0.37 dependent: set(knuth_bendix).
% 0.20/0.37 dependent: set(para_from).
% 0.20/0.37 dependent: set(para_into).
% 0.20/0.37 dependent: clear(para_from_right).
% 0.20/0.37 dependent: clear(para_into_right).
% 0.20/0.37 dependent: set(para_from_vars).
% 0.20/0.37 dependent: set(eq_units_both_ways).
% 0.20/0.37 dependent: set(dynamic_demod_all).
% 0.20/0.37 dependent: set(dynamic_demod).
% 0.20/0.37 dependent: set(order_eq).
% 0.20/0.37 dependent: set(back_demod).
% 0.20/0.37 dependent: set(lrpo).
% 0.20/0.37 dependent: set(hyper_res).
% 0.20/0.37 dependent: set(unit_deletion).
% 0.20/0.37 dependent: set(factor).
% 0.20/0.37
% 0.20/0.37 ------------> process usable:
% 0.20/0.37 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).
% 0.20/0.37
% 0.20/0.37 ------------> process sos:
% 0.20/0.37 Following clause subsumed by 166 during input processing: 0 [copy,166,flip.1] {-} A=A.
% 0.20/0.37 166 back subsumes 146.
% 0.20/0.37 166 back subsumes 145.
% 0.20/0.37 166 back subsumes 144.
% 0.20/0.37 166 back subsumes 143.
% 0.20/0.37
% 0.20/0.37 ======= end of input processing =======
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 Failed to model usable list: disabling FINDER
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 -------------- Softie stats --------------
% 0.20/0.44
% 0.20/0.44 UPDATE_STOP: 300
% 0.20/0.44 SFINDER_TIME_LIMIT: 2
% 0.20/0.44 SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.44 number of clauses in intial UL: 154
% 0.20/0.44 number of clauses initially in problem: 162
% 0.20/0.44 percentage of clauses intially in UL: 95
% 0.20/0.44 percentage of distinct symbols occuring in initial UL: 85
% 0.20/0.44 percent of all initial clauses that are short: 100
% 0.20/0.44 absolute distinct symbol count: 41
% 0.20/0.44 distinct predicate count: 12
% 0.20/0.44 distinct function count: 20
% 0.20/0.44 distinct constant count: 9
% 0.20/0.44
% 0.20/0.44 ---------- no more Softie stats ----------
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 =========== start of search ===========
% 6.85/7.08
% 6.85/7.08
% 6.85/7.08 Changing weight limit from 60 to 56.
% 6.85/7.08
% 6.85/7.08 Resetting weight limit to 56 after 240 givens.
% 6.85/7.08
% 9.26/9.49
% 9.26/9.49
% 9.26/9.49 Changing weight limit from 56 to 55.
% 9.26/9.49
% 9.26/9.49 Resetting weight limit to 55 after 255 givens.
% 9.26/9.49
% 11.55/11.78
% 11.55/11.78
% 11.55/11.78 Changing weight limit from 55 to 54.
% 11.55/11.78
% 11.55/11.78 Resetting weight limit to 54 after 280 givens.
% 11.55/11.78
% 12.70/12.90
% 12.70/12.90
% 12.70/12.90 Changing weight limit from 54 to 52.
% 12.70/12.90
% 12.70/12.90 Resetting weight limit to 52 after 285 givens.
% 12.70/12.90
% 13.74/13.91
% 13.74/13.91
% 13.74/13.91 Changing weight limit from 52 to 51.
% 13.74/13.91
% 13.74/13.91 Resetting weight limit to 51 after 290 givens.
% 13.74/13.91
% 15.75/15.94
% 15.75/15.94
% 15.75/15.94 Changing weight limit from 51 to 50.
% 15.75/15.94
% 15.75/15.94 Resetting weight limit to 50 after 295 givens.
% 15.75/15.94
% 17.95/18.18
% 17.95/18.18
% 17.95/18.18 Changing weight limit from 50 to 49.
% 17.95/18.18
% 17.95/18.18 Modelling stopped after 300 given clauses and 0.00 seconds
% 17.95/18.18
% 17.95/18.18
% 17.95/18.18 Resetting weight limit to 49 after 305 givens.
% 17.95/18.18
% 19.25/19.46
% 19.25/19.46
% 19.25/19.46 Changing weight limit from 49 to 46.
% 19.25/19.46
% 19.25/19.46 Resetting weight limit to 46 after 310 givens.
% 19.25/19.46
% 19.95/20.16
% 19.95/20.16
% 19.95/20.16 Changing weight limit from 46 to 31.
% 19.95/20.16
% 19.95/20.16 Resetting weight limit to 31 after 315 givens.
% 19.95/20.16
% 20.25/20.47
% 20.25/20.47
% 20.25/20.47 Changing weight limit from 31 to 30.
% 20.25/20.47
% 20.25/20.47 Resetting weight limit to 30 after 320 givens.
% 20.25/20.47
% 21.63/21.85
% 21.63/21.85
% 21.63/21.85 Changing weight limit from 30 to 29.
% 21.63/21.85
% 21.63/21.85 Resetting weight limit to 29 after 385 givens.
% 21.63/21.85
% 22.10/22.36
% 22.10/22.36
% 22.10/22.36 Changing weight limit from 29 to 26.
% 22.10/22.36
% 22.10/22.36 Resetting weight limit to 26 after 445 givens.
% 22.10/22.36
% 22.10/22.37
% 22.10/22.37
% 22.10/22.37 Changing weight limit from 26 to 18.
% 22.10/22.37
% 22.10/22.37 Resetting weight limit to 18 after 450 givens.
% 22.10/22.37
% 22.44/22.66
% 22.44/22.66
% 22.44/22.66 Changing weight limit from 18 to 17.
% 22.44/22.66
% 22.44/22.66 Resetting weight limit to 17 after 840 givens.
% 22.44/22.66
% 22.52/22.70
% 22.52/22.70
% 22.52/22.70 Changing weight limit from 17 to 15.
% 22.52/22.70
% 22.52/22.70 Resetting weight limit to 15 after 890 givens.
% 22.52/22.70
% 22.52/22.72
% 22.52/22.72
% 22.52/22.72 Changing weight limit from 15 to 14.
% 22.52/22.72
% 22.52/22.72 Resetting weight limit to 14 after 895 givens.
% 22.52/22.72
% 22.83/23.07
% 22.83/23.07
% 22.83/23.07 Changing weight limit from 14 to 13.
% 22.83/23.07
% 22.83/23.07 Resetting weight limit to 13 after 1320 givens.
% 22.83/23.07
% 22.83/23.09
% 22.83/23.09
% 22.83/23.09 Changing weight limit from 13 to 12.
% 22.83/23.09
% 22.83/23.09 Resetting weight limit to 12 after 1325 givens.
% 22.83/23.09
% 22.92/23.15
% 22.92/23.15
% 22.92/23.15 Changing weight limit from 12 to 11.
% 22.92/23.15
% 22.92/23.15 Resetting weight limit to 11 after 1335 givens.
% 22.92/23.15
% 23.00/23.19
% 23.00/23.19
% 23.00/23.19 Changing weight limit from 11 to 10.
% 23.00/23.19
% 23.00/23.19 Resetting weight limit to 10 after 1400 givens.
% 23.00/23.19
% 24.41/24.60
% 24.41/24.60
% 24.41/24.60 Changing weight limit from 10 to 9.
% 24.41/24.60
% 24.41/24.60 Resetting weight limit to 9 after 2460 givens.
% 24.41/24.60
% 25.00/25.24
% 25.00/25.24 -- HEY sandbox, WE HAVE A PROOF!! --
% 25.00/25.24
% 25.00/25.24 ----> UNIT CONFLICT at 24.75 sec ----> 43750 [binary,43749.1,113.1] {-} $F.
% 25.00/25.24
% 25.00/25.24 Length of proof is 96. Level of proof is 24.
% 25.00/25.24
% 25.00/25.24 ---------------- PROOF ----------------
% 25.00/25.24 % SZS status Theorem
% 25.00/25.24 % SZS output start Refutation
% 25.00/25.24
% 25.00/25.24 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 25.00/25.24 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 25.00/25.24 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 25.00/25.24 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 25.00/25.24 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 25.00/25.24 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 25.00/25.24 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 25.00/25.24 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 25.00/25.24 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 25.00/25.24 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 25.00/25.24 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 25.00/25.24 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 25.00/25.24 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 25.00/25.24 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 25.00/25.24 44 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -cyclic(A,B,C,F)| -eqangle(C,A,C,B,F,D,F,E)|cong(A,B,D,E).
% 25.00/25.24 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 25.00/25.24 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 25.00/25.24 58 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)| -cyclic(A,C,B,D)|perp(B,A,A,D).
% 25.00/25.24 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 25.00/25.24 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 25.00/25.24 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 25.00/25.24 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 25.00/25.24 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 25.00/25.24 113 [] {+} -cong($c9,$c5,$c9,$c4).
% 25.00/25.24 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 25.00/25.24 123 [factor,44.2.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,E)|cong(A,B,D,E).
% 25.00/25.24 124 [factor,45.1.2] {+} -midp(A,B,C)|para(A,A,C,C).
% 25.00/25.24 126 [factor,58.1.2] {+} -cong(A,B,C,B)| -cyclic(A,C,B,B)|perp(B,A,A,B).
% 25.00/25.24 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 25.00/25.24 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 25.00/25.24 161 [] {-} perp($c9,$c7,$c7,$c5).
% 25.00/25.24 162 [] {-} perp($c9,$c8,$c8,$c4).
% 25.00/25.24 163 [] {-} coll($c6,$c8,$c7).
% 25.00/25.24 164 [] {-} perp($c9,$c6,$c6,$c5).
% 25.00/25.24 165 [] {-} coll($c4,$c6,$c5).
% 25.00/25.24 184 [hyper,163,114] {-} coll($c7,$c7,$c6).
% 25.00/25.24 185 [hyper,163,2] {-} coll($c8,$c6,$c7).
% 25.00/25.24 199 [hyper,165,114] {-} coll($c5,$c5,$c4).
% 25.00/25.24 200 [hyper,165,2] {-} coll($c6,$c4,$c5).
% 25.00/25.24 201 [hyper,165,1] {-} coll($c4,$c5,$c6).
% 25.00/25.24 214 [hyper,184,114] {-} coll($c6,$c6,$c7).
% 25.00/25.24 215 [hyper,184,1] {-} coll($c7,$c6,$c7).
% 25.00/25.24 245 [hyper,185,114] {-} coll($c7,$c7,$c8).
% 25.00/25.24 273 [hyper,199,114] {-} coll($c4,$c4,$c5).
% 25.00/25.24 287 [hyper,200,114] {-} coll($c5,$c5,$c6).
% 25.00/25.24 303 [hyper,161,8] {-} perp($c7,$c5,$c9,$c7).
% 25.00/25.24 321 [hyper,201,114] {-} coll($c6,$c6,$c4).
% 25.00/25.24 362 [hyper,245,114] {-} coll($c8,$c8,$c7).
% 25.00/25.24 382 [hyper,162,8] {-} perp($c8,$c4,$c9,$c8).
% 25.00/25.24 442 [hyper,273,1] {-} coll($c4,$c5,$c4).
% 25.00/25.24 457 [hyper,164,8] {-} perp($c6,$c5,$c9,$c6).
% 25.00/25.24 493 [hyper,287,114] {-} coll($c6,$c6,$c5).
% 25.00/25.24 525 [hyper,321,3,214] {-} coll($c7,$c4,$c6).
% 25.00/25.24 526 [hyper,321,3,214] {-} coll($c4,$c7,$c6).
% 25.00/25.24 731 [hyper,362,1] {-} coll($c8,$c7,$c8).
% 25.00/25.24 913 [hyper,442,3,201] {-} coll($c4,$c6,$c4).
% 25.00/25.24 1060 [hyper,493,3,214] {-} coll($c5,$c7,$c6).
% 25.00/25.24 1220 [hyper,525,1] {-} coll($c7,$c6,$c4).
% 25.00/25.24 1235 [hyper,526,1] {-} coll($c4,$c6,$c7).
% 25.00/25.24 1881 [hyper,1060,1] {-} coll($c5,$c6,$c7).
% 25.00/25.24 1969 [hyper,1220,3,215] {-} coll($c7,$c4,$c7).
% 25.00/25.24 1971 [hyper,1220,3,215] {-} coll($c4,$c7,$c7).
% 25.00/25.24 1985 [hyper,1235,114] {-} coll($c7,$c7,$c4).
% 25.00/25.24 1988 [hyper,1235,3,913] {-} coll($c4,$c7,$c4).
% 25.00/25.24 1989 [hyper,1235,3,165] {-} coll($c5,$c7,$c4).
% 25.00/25.24 2257 [hyper,1881,114] {-} coll($c7,$c7,$c5).
% 25.00/25.24 3684 [hyper,303,9,161] {-} para($c9,$c7,$c9,$c7).
% 25.00/25.24 3686 [hyper,303,7] {-} perp($c7,$c5,$c7,$c9).
% 25.00/25.24 3761 [hyper,382,9,162] {-} para($c9,$c8,$c9,$c8).
% 25.00/25.24 3762 [hyper,382,9,162] {-} para($c8,$c4,$c8,$c4).
% 25.00/25.24 3798 [hyper,457,9,164] {-} para($c9,$c6,$c9,$c6).
% 25.00/25.24 3799 [hyper,457,9,164] {-} para($c6,$c5,$c6,$c5).
% 25.00/25.24 3875 [hyper,3684,67] {-} coll($c9,$c7,$c7).
% 25.00/25.24 3876 [hyper,3684,40] {-} eqangle($c9,$c7,A,B,$c9,$c7,A,B).
% 25.00/25.24 3894 [hyper,3875,114] {-} coll($c7,$c7,$c9).
% 25.00/25.24 3910 [hyper,3894,114] {-} coll($c9,$c9,$c7).
% 25.00/25.24 3911 [hyper,3894,3,2257] {-} coll($c5,$c9,$c7).
% 25.00/25.24 3915 [hyper,3894,3,2257] {-} coll($c9,$c5,$c7).
% 25.00/25.24 3916 [hyper,3894,3,1985] {-} coll($c9,$c4,$c7).
% 25.00/25.24 4001 [hyper,3910,1] {-} coll($c9,$c7,$c9).
% 25.00/25.24 4018 [hyper,3911,1] {-} coll($c5,$c7,$c9).
% 25.00/25.24 4132 [hyper,3915,1] {-} coll($c9,$c7,$c5).
% 25.00/25.24 4147 [hyper,3916,1] {-} coll($c9,$c7,$c4).
% 25.00/25.24 4246 [hyper,4001,114] {-} coll($c9,$c9,$c9).
% 25.00/25.24 4249 [hyper,4001,3,3875] {-} coll($c7,$c9,$c9).
% 25.00/25.24 4274 [hyper,4018,3,1989] {-} coll($c9,$c4,$c5).
% 25.00/25.24 4438 [hyper,4147,3,4132] {-} coll($c5,$c4,$c9).
% 25.00/25.24 6477 [hyper,3686,8] {-} perp($c7,$c9,$c7,$c5).
% 25.00/25.24 7490 [hyper,6477,9,3686] {-} para($c7,$c9,$c7,$c9).
% 25.00/25.24 16785 [hyper,3876,43,4246] {-} cyclic($c7,$c9,$c9,$c9).
% 25.00/25.24 16786 [hyper,3876,43,3910] {-} cyclic($c7,$c7,$c9,$c9).
% 25.00/25.24 16805 [hyper,16786,15] {-} cyclic($c7,$c9,$c7,$c9).
% 25.00/25.24 16918 [hyper,16805,14] {-} cyclic($c7,$c9,$c9,$c7).
% 25.00/25.24 17026 [hyper,16918,123,16785,3876] {-} cong($c7,$c9,$c7,$c9).
% 25.00/25.24 17233 [hyper,17026,126,16786] {-} perp($c9,$c7,$c7,$c9).
% 25.00/25.24 17236 [hyper,17026,68,4249] {-} midp($c7,$c9,$c9).
% 25.00/25.24 17245 [hyper,17236,129,3798] {-} midp($c7,$c6,$c6).
% 25.00/25.24 17246 [hyper,17236,129,3761] {-} midp($c7,$c8,$c8).
% 25.00/25.24 17247 [hyper,17236,129,3684] {-} midp($c7,$c7,$c7).
% 25.00/25.24 17260 [hyper,17245,129,3799] {-} midp($c7,$c5,$c5).
% 25.00/25.24 17276 [hyper,17246,129,3762] {-} midp($c7,$c4,$c4).
% 25.00/25.24 17326 [hyper,17247,46,7490,4001] {-} midp($c9,$c7,$c9).
% 25.00/25.24 17398 [hyper,17260,124] {-} para($c7,$c7,$c5,$c5).
% 25.00/25.24 17432 [hyper,17260,64,17236] {-} para($c5,$c9,$c5,$c9).
% 25.00/25.24 17490 [hyper,17276,64,17247] {-} para($c7,$c4,$c7,$c4).
% 25.00/25.24 17493 [hyper,17276,64,17260] {-} para($c4,$c5,$c4,$c5).
% 25.00/25.24 17494 [hyper,17276,64,17247] {-} para($c4,$c7,$c4,$c7).
% 25.00/25.24 17576 [hyper,17326,46,3761,731] {-} midp($c8,$c7,$c8).
% 25.00/25.24 17988 [hyper,17576,46,3762,1988] {-} midp($c4,$c7,$c4).
% 25.00/25.24 18257 [hyper,17988,69] {-} cong($c4,$c7,$c4,$c4).
% 25.00/25.24 18258 [hyper,17988,11] {-} midp($c4,$c4,$c7).
% 25.00/25.24 18419 [hyper,18258,128] {-} para($c4,$c4,$c7,$c7).
% 25.00/25.24 18564 [hyper,18258,69] {-} cong($c4,$c4,$c4,$c7).
% 25.00/25.24 19618 [hyper,17233,9,303] {-} para($c7,$c5,$c7,$c9).
% 25.00/25.24 21289 [hyper,17432,4] {-} para($c5,$c9,$c9,$c5).
% 25.00/25.24 21862 [hyper,17493,4] {-} para($c4,$c5,$c5,$c4).
% 25.00/25.24 22819 [hyper,18419,6,17398] {-} para($c4,$c4,$c5,$c5).
% 25.00/25.24 22829 [hyper,18564,25,18257] {-} cong($c4,$c7,$c4,$c7).
% 25.00/25.24 38817 [hyper,22829,68,1971] {-} midp($c4,$c7,$c7).
% 25.00/25.24 38825 [hyper,38817,129,17490] {-} midp($c4,$c4,$c4).
% 25.00/25.24 39301 [hyper,38825,46,17494,1969] {-} midp($c7,$c4,$c7).
% 25.00/25.24 41136 [hyper,39301,46,19618,4438] {-} midp($c5,$c4,$c9).
% 25.00/25.24 42799 [hyper,41136,46,21289,4274] {-} midp($c9,$c4,$c5).
% 25.00/25.24 43268 [hyper,42799,65,21862,22819] {-} midp($c9,$c5,$c4).
% 25.00/25.24 43749 [hyper,43268,69] {-} cong($c9,$c5,$c9,$c4).
% 25.00/25.24 43750 [binary,43749.1,113.1] {-} $F.
% 25.00/25.24
% 25.00/25.24 % SZS output end Refutation
% 25.00/25.24 ------------ end of proof -------------
% 25.00/25.24
% 25.00/25.24
% 25.00/25.24 Search stopped by max_proofs option.
% 25.00/25.24
% 25.00/25.24
% 25.00/25.24 Search stopped by max_proofs option.
% 25.00/25.24
% 25.00/25.24 ============ end of search ============
% 25.00/25.24
% 25.00/25.24 That finishes the proof of the theorem.
% 25.00/25.24
% 25.00/25.24 Process 9333 finished Fri Jun 17 23:11:34 2022
%------------------------------------------------------------------------------