TSTP Solution File: GEO546+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO546+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n028.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 32.65s 32.86s
% Output : Refutation 32.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO546+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 15:07:59 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.36 ----- Otter 3.2, August 2001 -----
% 0.13/0.36 The process was started by sandbox2 on n028.cluster.edu,
% 0.13/0.36 Sat Jun 18 15:07:59 2022
% 0.13/0.36 The command was "./sos". The process ID is 30794.
% 0.13/0.36
% 0.13/0.36 set(prolog_style_variables).
% 0.13/0.36 set(auto).
% 0.13/0.36 dependent: set(auto1).
% 0.13/0.36 dependent: set(process_input).
% 0.13/0.36 dependent: clear(print_kept).
% 0.13/0.36 dependent: clear(print_new_demod).
% 0.13/0.36 dependent: clear(print_back_demod).
% 0.13/0.36 dependent: clear(print_back_sub).
% 0.13/0.36 dependent: set(control_memory).
% 0.13/0.36 dependent: assign(max_mem, 12000).
% 0.13/0.36 dependent: assign(pick_given_ratio, 4).
% 0.13/0.36 dependent: assign(stats_level, 1).
% 0.13/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36 dependent: assign(sos_limit, 5000).
% 0.13/0.36 dependent: assign(max_weight, 60).
% 0.13/0.36 clear(print_given).
% 0.13/0.36
% 0.13/0.36 formula_list(usable).
% 0.13/0.36
% 0.13/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.36
% 0.13/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.36 clauses in usable.
% 0.13/0.36
% 0.13/0.36 dependent: set(knuth_bendix).
% 0.13/0.36 dependent: set(para_from).
% 0.13/0.36 dependent: set(para_into).
% 0.13/0.36 dependent: clear(para_from_right).
% 0.13/0.36 dependent: clear(para_into_right).
% 0.13/0.36 dependent: set(para_from_vars).
% 0.13/0.36 dependent: set(eq_units_both_ways).
% 0.13/0.36 dependent: set(dynamic_demod_all).
% 0.13/0.36 dependent: set(dynamic_demod).
% 0.13/0.36 dependent: set(order_eq).
% 0.13/0.36 dependent: set(back_demod).
% 0.13/0.36 dependent: set(lrpo).
% 0.13/0.36 dependent: set(hyper_res).
% 0.13/0.36 dependent: set(unit_deletion).
% 0.13/0.36 dependent: set(factor).
% 0.13/0.36
% 0.13/0.36 ------------> process usable:
% 0.13/0.36 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).
% 0.13/0.36
% 0.13/0.36 ------------> process sos:
% 0.13/0.36 Following clause subsumed by 165 during input processing: 0 [copy,165,flip.1] {-} A=A.
% 0.13/0.36 165 back subsumes 146.
% 0.13/0.36 165 back subsumes 145.
% 0.13/0.36 165 back subsumes 144.
% 0.13/0.36 165 back subsumes 143.
% 0.13/0.36
% 0.13/0.36 ======= end of input processing =======
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 Failed to model usable list: disabling FINDER
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 -------------- Softie stats --------------
% 0.18/0.42
% 0.18/0.42 UPDATE_STOP: 300
% 0.18/0.42 SFINDER_TIME_LIMIT: 2
% 0.18/0.42 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.42 number of clauses in intial UL: 154
% 0.18/0.42 number of clauses initially in problem: 161
% 0.18/0.42 percentage of clauses intially in UL: 95
% 0.18/0.42 percentage of distinct symbols occuring in initial UL: 94
% 0.18/0.42 percent of all initial clauses that are short: 100
% 0.18/0.42 absolute distinct symbol count: 38
% 0.18/0.42 distinct predicate count: 12
% 0.18/0.42 distinct function count: 20
% 0.18/0.42 distinct constant count: 6
% 0.18/0.42
% 0.18/0.42 ---------- no more Softie stats ----------
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 =========== start of search ===========
% 7.18/7.37
% 7.18/7.37
% 7.18/7.37 Changing weight limit from 60 to 58.
% 7.18/7.37
% 7.18/7.37 Resetting weight limit to 58 after 250 givens.
% 7.18/7.37
% 8.25/8.46
% 8.25/8.46
% 8.25/8.46 Changing weight limit from 58 to 57.
% 8.25/8.46
% 8.25/8.46 Resetting weight limit to 57 after 255 givens.
% 8.25/8.46
% 8.71/8.90
% 8.71/8.90
% 8.71/8.90 Changing weight limit from 57 to 56.
% 8.71/8.90
% 8.71/8.90 Resetting weight limit to 56 after 260 givens.
% 8.71/8.90
% 12.56/12.74
% 12.56/12.74
% 12.56/12.74 Changing weight limit from 56 to 55.
% 12.56/12.74
% 12.56/12.74 Resetting weight limit to 55 after 280 givens.
% 12.56/12.74
% 13.68/13.90
% 13.68/13.90
% 13.68/13.90 Changing weight limit from 55 to 54.
% 13.68/13.90
% 13.68/13.90 Resetting weight limit to 54 after 285 givens.
% 13.68/13.90
% 15.24/15.43
% 15.24/15.43
% 15.24/15.43 Changing weight limit from 54 to 52.
% 15.24/15.43
% 15.24/15.43 Resetting weight limit to 52 after 290 givens.
% 15.24/15.43
% 16.55/16.74
% 16.55/16.74
% 16.55/16.74 Changing weight limit from 52 to 51.
% 16.55/16.74
% 16.55/16.74 Resetting weight limit to 51 after 295 givens.
% 16.55/16.74
% 18.91/19.11
% 18.91/19.11
% 18.91/19.11 Changing weight limit from 51 to 50.
% 18.91/19.11
% 18.91/19.11 Modelling stopped after 300 given clauses and 0.00 seconds
% 18.91/19.11
% 18.91/19.11
% 18.91/19.11 Resetting weight limit to 50 after 305 givens.
% 18.91/19.11
% 20.81/21.01
% 20.81/21.01
% 20.81/21.01 Changing weight limit from 50 to 49.
% 20.81/21.01
% 20.81/21.01 Resetting weight limit to 49 after 320 givens.
% 20.81/21.01
% 21.71/21.91
% 21.71/21.91
% 21.71/21.91 Changing weight limit from 49 to 46.
% 21.71/21.91
% 21.71/21.91 Resetting weight limit to 46 after 335 givens.
% 21.71/21.91
% 22.34/22.52
% 22.34/22.52
% 22.34/22.52 Changing weight limit from 46 to 45.
% 22.34/22.52
% 22.34/22.52 Resetting weight limit to 45 after 345 givens.
% 22.34/22.52
% 22.66/22.84
% 22.66/22.84
% 22.66/22.84 Changing weight limit from 45 to 44.
% 22.66/22.84
% 22.66/22.84 Resetting weight limit to 44 after 350 givens.
% 22.66/22.84
% 22.75/22.96
% 22.75/22.96
% 22.75/22.96 Changing weight limit from 44 to 35.
% 22.75/22.96
% 22.75/22.96 Resetting weight limit to 35 after 355 givens.
% 22.75/22.96
% 22.87/23.06
% 22.87/23.06
% 22.87/23.06 Changing weight limit from 35 to 34.
% 22.87/23.06
% 22.87/23.06 Resetting weight limit to 34 after 360 givens.
% 22.87/23.06
% 22.94/23.15
% 22.94/23.15
% 22.94/23.15 Changing weight limit from 34 to 31.
% 22.94/23.15
% 22.94/23.15 Resetting weight limit to 31 after 365 givens.
% 22.94/23.15
% 23.57/23.79
% 23.57/23.79
% 23.57/23.79 Changing weight limit from 31 to 30.
% 23.57/23.79
% 23.57/23.79 Resetting weight limit to 30 after 400 givens.
% 23.57/23.79
% 25.44/25.62
% 25.44/25.62
% 25.44/25.62 Changing weight limit from 30 to 29.
% 25.44/25.62
% 25.44/25.62 Resetting weight limit to 29 after 510 givens.
% 25.44/25.62
% 25.97/26.20
% 25.97/26.20
% 25.97/26.20 Changing weight limit from 29 to 11.
% 25.97/26.20
% 25.97/26.20 Resetting weight limit to 11 after 555 givens.
% 25.97/26.20
% 26.19/26.40
% 26.19/26.40
% 26.19/26.40 Changing weight limit from 11 to 10.
% 26.19/26.40
% 26.19/26.40 Resetting weight limit to 10 after 670 givens.
% 26.19/26.40
% 27.46/27.67
% 27.46/27.67
% 27.46/27.67 Changing weight limit from 10 to 9.
% 27.46/27.67
% 27.46/27.67 Resetting weight limit to 9 after 935 givens.
% 27.46/27.67
% 32.65/32.86
% 32.65/32.86 -- HEY sandbox2, WE HAVE A PROOF!! --
% 32.65/32.86
% 32.65/32.86 ----> UNIT CONFLICT at 32.22 sec ----> 79730 [binary,79729.1,113.1] {-} $F.
% 32.65/32.86
% 32.65/32.86 Length of proof is 96. Level of proof is 18.
% 32.65/32.86
% 32.65/32.86 ---------------- PROOF ----------------
% 32.65/32.86 % SZS status Theorem
% 32.65/32.86 % SZS output start Refutation
% 32.65/32.86
% 32.65/32.86 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 32.65/32.86 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 32.65/32.86 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 32.65/32.86 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 32.65/32.86 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 32.65/32.86 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 32.65/32.86 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 32.65/32.86 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 32.65/32.86 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 32.65/32.86 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 32.65/32.86 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 32.65/32.86 16 [] {+} -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 32.65/32.86 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 32.65/32.86 19 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(C,D,A,B,G,H,E,F).
% 32.65/32.86 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 32.65/32.86 39 [] {+} -eqangle(A,B,C,D,E,F,C,D)|para(A,B,E,F).
% 32.65/32.86 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 32.65/32.86 41 [] {+} -cyclic(A,B,C,D)|eqangle(C,A,C,B,D,A,D,B).
% 32.65/32.86 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 32.65/32.86 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).
% 32.65/32.86 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 32.65/32.86 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 32.65/32.86 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 32.65/32.86 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 32.65/32.86 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 32.65/32.86 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 32.65/32.86 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 32.65/32.86 113 [] {+} -perp($c5,$c1,$c6,$c4).
% 32.65/32.86 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 32.65/32.86 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 32.65/32.86 123 [factor,44.2.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,E)|cong(A,B,D,E).
% 32.65/32.86 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 32.65/32.86 159 [] {-} perp($c3,$c4,$c6,$c5).
% 32.65/32.86 160 [] {-} coll($c3,$c6,$c5).
% 32.65/32.86 161 [] {-} perp($c2,$c6,$c5,$c4).
% 32.65/32.86 162 [] {-} coll($c2,$c5,$c4).
% 32.65/32.86 163 [] {-} coll($c1,$c4,$c3).
% 32.65/32.86 166 [hyper,159,8] {-} perp($c6,$c5,$c3,$c4).
% 32.65/32.86 167 [hyper,159,7] {-} perp($c3,$c4,$c5,$c6).
% 32.65/32.86 184 [hyper,160,114] {-} coll($c5,$c5,$c3).
% 32.65/32.86 199 [hyper,162,114] {-} coll($c4,$c4,$c2).
% 32.65/32.86 200 [hyper,162,2] {-} coll($c5,$c2,$c4).
% 32.65/32.86 201 [hyper,162,1] {-} coll($c2,$c4,$c5).
% 32.65/32.86 214 [hyper,163,114] {-} coll($c3,$c3,$c1).
% 32.65/32.86 215 [hyper,163,2] {-} coll($c4,$c1,$c3).
% 32.65/32.86 216 [hyper,163,1] {-} coll($c1,$c3,$c4).
% 32.65/32.86 229 [hyper,161,8] {-} perp($c5,$c4,$c2,$c6).
% 32.65/32.86 230 [hyper,161,7] {-} perp($c2,$c6,$c4,$c5).
% 32.65/32.86 263 [hyper,184,1] {-} coll($c5,$c3,$c5).
% 32.65/32.86 304 [hyper,166,9,159] {-} para($c3,$c4,$c3,$c4).
% 32.65/32.86 306 [hyper,166,7] {-} perp($c6,$c5,$c4,$c3).
% 32.65/32.86 324 [hyper,199,1] {-} coll($c4,$c2,$c4).
% 32.65/32.86 337 [hyper,200,114] {-} coll($c4,$c4,$c5).
% 32.65/32.86 352 [hyper,201,2] {-} coll($c4,$c2,$c5).
% 32.65/32.86 365 [hyper,214,114] {-} coll($c1,$c1,$c3).
% 32.65/32.86 366 [hyper,214,1] {-} coll($c3,$c1,$c3).
% 32.65/32.86 380 [hyper,167,8] {-} perp($c5,$c6,$c3,$c4).
% 32.65/32.86 397 [hyper,215,114] {-} coll($c3,$c3,$c4).
% 32.65/32.86 412 [hyper,216,2] {-} coll($c3,$c1,$c4).
% 32.65/32.86 582 [hyper,263,114] {-} coll($c5,$c5,$c5).
% 32.65/32.86 865 [hyper,324,114] {-} coll($c4,$c4,$c4).
% 32.65/32.86 879 [hyper,337,114] {-} coll($c5,$c5,$c4).
% 32.65/32.86 1024 [hyper,352,3,324] {-} coll($c5,$c4,$c4).
% 32.65/32.86 1037 [hyper,365,1] {-} coll($c1,$c3,$c1).
% 32.65/32.86 1050 [hyper,366,114] {-} coll($c3,$c3,$c3).
% 32.65/32.86 1064 [hyper,397,114] {-} coll($c4,$c4,$c3).
% 32.65/32.86 1067 [hyper,397,1] {-} coll($c3,$c4,$c3).
% 32.65/32.86 1191 [hyper,412,3,366] {-} coll($c4,$c3,$c3).
% 32.65/32.86 1914 [hyper,879,3,582] {-} coll($c5,$c4,$c5).
% 32.65/32.86 2223 [hyper,1064,3,865] {-} coll($c4,$c3,$c4).
% 32.65/32.86 5906 [hyper,230,9,229] {-} para($c5,$c4,$c4,$c5).
% 32.65/32.86 5907 [hyper,230,8] {-} perp($c4,$c5,$c2,$c6).
% 32.65/32.86 6002 [hyper,304,40] {-} eqangle($c3,$c4,A,B,$c3,$c4,A,B).
% 32.65/32.86 6003 [hyper,304,4] {-} para($c3,$c4,$c4,$c3).
% 32.65/32.86 6155 [hyper,306,8] {-} perp($c4,$c3,$c6,$c5).
% 32.65/32.86 6268 [hyper,380,9,167] {-} para($c5,$c6,$c5,$c6).
% 32.65/32.86 6573 [hyper,5906,5] {-} para($c4,$c5,$c5,$c4).
% 32.65/32.86 6590 [hyper,5907,9,230] {-} para($c4,$c5,$c4,$c5).
% 32.65/32.86 6687 [hyper,6003,5] {-} para($c4,$c3,$c3,$c4).
% 32.65/32.86 6704 [hyper,6155,9,306] {-} para($c4,$c3,$c4,$c3).
% 32.65/32.86 7872 [hyper,6002,43,1050] {-} cyclic($c4,$c3,$c3,$c3).
% 32.65/32.86 7874 [hyper,6002,43,397] {-} cyclic($c4,$c4,$c3,$c3).
% 32.65/32.86 7876 [hyper,6002,43,214] {-} cyclic($c4,$c1,$c3,$c3).
% 32.65/32.86 7878 [hyper,6002,19] {-} eqangle(A,B,$c3,$c4,A,B,$c3,$c4).
% 32.65/32.86 7951 [hyper,7874,15] {-} cyclic($c4,$c3,$c4,$c3).
% 32.65/32.86 7987 [hyper,7876,120] {-} cyclic($c1,$c3,$c3,$c3).
% 32.65/32.86 7989 [hyper,7876,15] {-} cyclic($c4,$c3,$c1,$c3).
% 32.65/32.86 8150 [hyper,7951,14] {-} cyclic($c4,$c3,$c3,$c4).
% 32.65/32.86 8221 [hyper,7987,41] {-} eqangle($c3,$c1,$c3,$c3,$c3,$c1,$c3,$c3).
% 32.65/32.86 8222 [hyper,7987,16] {-} cyclic($c3,$c1,$c3,$c3).
% 32.65/32.86 8258 [hyper,7989,14] {-} cyclic($c4,$c3,$c3,$c1).
% 32.65/32.86 8462 [hyper,8150,123,7872,6002] {-} cong($c4,$c3,$c4,$c3).
% 32.65/32.86 8567 [hyper,8222,15] {-} cyclic($c3,$c3,$c1,$c3).
% 32.65/32.86 8621 [hyper,8258,120] {-} cyclic($c3,$c3,$c1,$c1).
% 32.65/32.86 8950 [hyper,8462,68,1191] {-} midp($c4,$c3,$c3).
% 32.65/32.86 8975 [hyper,8950,129,304] {-} midp($c4,$c4,$c4).
% 32.65/32.86 8978 [hyper,8950,46,6687,397] {-} midp($c3,$c3,$c4).
% 32.65/32.86 8997 [hyper,8975,129,6590] {-} midp($c4,$c5,$c5).
% 32.65/32.86 9005 [hyper,8975,69] {-} cong($c4,$c4,$c4,$c4).
% 32.65/32.86 9006 [hyper,8975,46,6704,1067] {-} midp($c3,$c4,$c3).
% 32.65/32.86 9007 [hyper,8975,46,6590,1914] {-} midp($c5,$c4,$c5).
% 32.65/32.86 9050 [hyper,8978,69] {-} cong($c3,$c3,$c3,$c4).
% 32.65/32.86 9074 [hyper,8997,129,6268] {-} midp($c4,$c6,$c6).
% 32.65/32.86 9099 [hyper,8997,46,6573,879] {-} midp($c5,$c5,$c4).
% 32.65/32.86 9159 [hyper,9006,69] {-} cong($c3,$c4,$c3,$c3).
% 32.65/32.86 9229 [hyper,9007,69] {-} cong($c5,$c4,$c5,$c5).
% 32.65/32.86 9302 [hyper,9074,69] {-} cong($c4,$c6,$c4,$c6).
% 32.65/32.86 9395 [hyper,9099,69] {-} cong($c5,$c5,$c5,$c4).
% 32.65/32.86 10278 [hyper,8621,17,8567] {-} cyclic($c3,$c1,$c3,$c1).
% 32.65/32.86 11647 [hyper,9159,25,9050] {-} cong($c3,$c3,$c3,$c3).
% 32.65/32.86 11849 [hyper,9302,57,9005] {-} perp($c4,$c4,$c6,$c4).
% 32.65/32.86 12306 [hyper,9395,25,9229] {-} cong($c5,$c4,$c5,$c4).
% 32.65/32.86 14001 [hyper,10278,17,8222] {-} cyclic($c1,$c3,$c3,$c1).
% 32.65/32.86 16625 [hyper,11647,68,1050] {-} midp($c3,$c3,$c3).
% 32.65/32.86 16633 [hyper,16625,129,304] {-} midp($c3,$c4,$c4).
% 32.65/32.86 16722 [hyper,16625,46,304,2223] {-} midp($c4,$c3,$c4).
% 32.65/32.86 19564 [hyper,12306,68,1024] {-} midp($c5,$c4,$c4).
% 32.65/32.86 19758 [hyper,19564,45,16633] {-} para($c5,$c3,$c4,$c4).
% 32.65/32.86 28750 [hyper,7878,39] {-} para(A,B,A,B).
% 32.65/32.86 28784 [hyper,8221,123,14001,7987] {-} cong($c1,$c3,$c1,$c3).
% 32.65/32.86 40166 [hyper,19758,10,11849] {-} perp($c5,$c3,$c6,$c4).
% 32.65/32.86 47116 [hyper,28750,67] {-} coll(A,B,B).
% 32.65/32.86 47190 [hyper,28750,46,16722,1037] {-} midp($c1,$c3,$c1).
% 32.65/32.86 48473 [hyper,47116,114] {-} coll(A,A,B).
% 32.65/32.86 50044 [hyper,48473,3,48473] {-} coll(A,B,C).
% 32.65/32.86 51548 [hyper,50044,46,47190,28750] {-} midp(A,$c3,A).
% 32.65/32.86 53341 [hyper,28784,68,50044] {-} midp($c1,$c3,$c3).
% 32.65/32.86 53530 [hyper,53341,45,51548] {-} para(A,$c1,A,$c3).
% 32.65/32.86 79729 [hyper,53530,10,40166] {-} perp($c5,$c1,$c6,$c4).
% 32.65/32.86 79730 [binary,79729.1,113.1] {-} $F.
% 32.65/32.86
% 32.65/32.86 % SZS output end Refutation
% 32.65/32.86 ------------ end of proof -------------
% 32.65/32.86
% 32.65/32.86
% 32.65/32.86 Search stopped by max_proofs option.
% 32.65/32.86
% 32.65/32.86
% 32.65/32.86 Search stopped by max_proofs option.
% 32.65/32.86
% 32.65/32.86 ============ end of search ============
% 32.65/32.86
% 32.65/32.86 That finishes the proof of the theorem.
% 32.65/32.86
% 32.65/32.86 Process 30794 finished Sat Jun 18 15:08:31 2022
%------------------------------------------------------------------------------