%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO210+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n021.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 06:19:12 EDT 2022
% Result : Theorem 22.46s 22.68s
% Output : Refutation 22.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO210+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n021.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 : Fri Jun 17 18:07:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 ----- Otter 3.2, August 2001 -----
% 0.12/0.35 The process was started by sandbox on n021.cluster.edu,
% 0.12/0.35 Fri Jun 17 18:07:01 2022
% 0.12/0.35 The command was "./sos". The process ID is 1338.
% 0.12/0.35
% 0.12/0.35 set(prolog_style_variables).
% 0.12/0.35 set(auto).
% 0.12/0.35 dependent: set(auto1).
% 0.12/0.35 dependent: set(process_input).
% 0.12/0.35 dependent: clear(print_kept).
% 0.12/0.35 dependent: clear(print_new_demod).
% 0.12/0.35 dependent: clear(print_back_demod).
% 0.12/0.35 dependent: clear(print_back_sub).
% 0.12/0.35 dependent: set(control_memory).
% 0.12/0.35 dependent: assign(max_mem, 12000).
% 0.12/0.35 dependent: assign(pick_given_ratio, 4).
% 0.12/0.35 dependent: assign(stats_level, 1).
% 0.12/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35 dependent: assign(sos_limit, 5000).
% 0.12/0.35 dependent: assign(max_weight, 60).
% 0.12/0.35 clear(print_given).
% 0.12/0.35
% 0.12/0.35 formula_list(usable).
% 0.12/0.35
% 0.12/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.12/0.35
% 0.12/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.35 clauses in usable.
% 0.12/0.35
% 0.12/0.35 dependent: set(knuth_bendix).
% 0.12/0.35 dependent: set(para_from).
% 0.12/0.35 dependent: set(para_into).
% 0.12/0.35 dependent: clear(para_from_right).
% 0.12/0.35 dependent: clear(para_into_right).
% 0.12/0.35 dependent: set(para_from_vars).
% 0.12/0.35 dependent: set(eq_units_both_ways).
% 0.12/0.35 dependent: set(dynamic_demod_all).
% 0.12/0.35 dependent: set(dynamic_demod).
% 0.12/0.35 dependent: set(order_eq).
% 0.12/0.35 dependent: set(back_demod).
% 0.12/0.35 dependent: set(lrpo).
% 0.12/0.35 dependent: set(hyper_res).
% 0.12/0.35 dependent: set(unit_deletion).
% 0.12/0.35 dependent: set(factor).
% 0.12/0.35
% 0.12/0.35 ------------> process usable:
% 0.12/0.35 Following clause subsumed by 15 during input processing: 0 [] {-} -distinct_lines(A,B)|apart_point_and_line(C,A)|apart_point_and_line(C,B)|convergent_lines(A,B).
% 0.12/0.35 Following clause subsumed by 6 during input processing: 0 [] {-} -convergent_lines(A,B)| -unorthogonal_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 0.12/0.35 28 back subsumes 27.
% 0.12/0.35
% 0.12/0.35 ------------> process sos:
% 0.12/0.35 Following clause subsumed by 40 during input processing: 0 [] {-} convergent_lines(A,B)|unorthogonal_lines(A,B).
% 0.12/0.35
% 0.12/0.35 ======= end of input processing =======
% 0.20/0.39
% 0.20/0.39 Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.39
% 0.20/0.39 Stopped by limit on number of solutions
% 0.20/0.39
% 0.20/0.39
% 0.20/0.39 -------------- Softie stats --------------
% 0.20/0.39
% 0.20/0.39 UPDATE_STOP: 300
% 0.20/0.39 SFINDER_TIME_LIMIT: 2
% 0.20/0.39 SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.39 number of clauses in intial UL: 37
% 0.20/0.39 number of clauses initially in problem: 45
% 0.20/0.39 percentage of clauses intially in UL: 82
% 0.20/0.39 percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.39 percent of all initial clauses that are short: 100
% 0.20/0.39 absolute distinct symbol count: 19
% 0.20/0.39 distinct predicate count: 12
% 0.20/0.39 distinct function count: 4
% 0.20/0.39 distinct constant count: 3
% 0.20/0.39
% 0.20/0.39 ---------- no more Softie stats ----------
% 0.20/0.39
% 0.20/0.39
% 0.20/0.39
% 0.20/0.39 Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.39
% 0.20/0.39 Stopped by limit on number of solutions
% 0.20/0.39
% 0.20/0.39 =========== start of search ===========
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 3 [ 3 0 315 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 4 [ 3 1 357 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 5 [ 4 0 1052 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Model 6 (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on number of solutions
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 7 [ 13 0 280 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 8 [ 14 0 807 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 9 [ 14 1 505 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 10 [ 14 0 1071 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 11 [ 15 1 999 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 12 [ 2 0 928 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 13 [ 19 0 680 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 14 [ 3 1 377 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 15 [ 19 1 1004 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 16 [ 32 1 1162 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 17 [ 26 1 655 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 18 [ 14 0 795 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 19 [ 55 1 518 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 20 [ 52 1 579 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 21 [ 52 0 507 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 22 [ 23 0 1268 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 23 [ 94 1 239 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 24 [ 14 0 700 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 25 [ 86 0 258 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 26 [ 27 1 309 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 27 [ 101 1 435 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 28 [ 28 1 431 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 29 [ 31 1 899 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 30 [ 108 0 2068 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 31 [ 16 0 1237 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 32 [ 103 0 1224 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 33 [ 33 0 1577 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 34 [ 112 0 255 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 35 [ 35 1 1644 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 36 [ 19 0 376 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 37 [ 119 0 445 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 38 [ 27 0 967 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 39 [ 126 0 509 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 40 [ 122 0 429 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 41 [ 92 0 1008 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 42 [ 133 1 815 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 43 [ 54 1 222 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 44 [ 139 1 248 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 45 [ 137 1 815 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 46 [ 80 1 695 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 47 [ 173 0 241 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 48 [ 145 0 407 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 10.08/10.31 Stopped by limit on insertions
% 10.08/10.31
% 10.08/10.31 Model 49 [ 94 1 331 ] (0.00 seconds, 250000 Inserts)
% 10.08/10.31
% 20.12/20.31 Stopped by lim
% 20.12/20.31
% 20.12/20.31 Changing weight limit from 60 to 27.
% 20.12/20.31 it on insertions
% 20.12/20.31
% 20.12/20.31 Model 50 [ 155 0 627 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 51 [ 161 1 820 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 52 [ 191 1 861 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 53 [ 97 0 931 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 54 [ 209 1 1066 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 55 [ 216 1 862 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 56 [ 141 1 480 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 57 [ 235 1 238 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 58 [ 264 1 1962 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 59 [ 280 1 635 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 60 [ 283 1 783 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 61 [ 245 1 641 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 62 [ 164 1 152 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 63 [ 242 1 1167 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 64 [ 154 0 1202 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 65 [ 288 1 288 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 66 [ 181 1 755 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 67 [ 337 1 156 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 68 [ 199 1 1271 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 69 [ 171 42 198052 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 70 [ 357 1 238 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 71 [ 203 1 899 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Stopped by limit on insertions
% 20.12/20.31
% 20.12/20.31 Model 72 [ 343 2 11568 ] (0.00 seconds, 250000 Inserts)
% 20.12/20.31
% 20.12/20.31 Resetting weight limit to 27 after 220 givens.
% 20.12/20.31
% 22.46/22.67
% 22.46/22.67
% 22.46/22.67 Changing weight limit from 27 to 25.
% 22.46/22.67
% 22.46/22.67 Stopped by limit on insertions
% 22.46/22.67
% 22.46/22.67 Stopped by limit on insertions
% 22.46/22.67
% 22.46/22.67 Model 73 [ 215 1 1221 ] (0.00 seconds, 250000 Inserts)
% 22.46/22.67
% 22.46/22.67 Stopped by limit on insertions
% 22.46/22.67
% 22.46/22.67 Model 74 [ 433 1 704 ] (0.00 seconds, 250000 Inserts)
% 22.46/22.67
% 22.46/22.67 Resetting weight limit to 25 after 225 givens.
% 22.46/22.67
% 22.46/22.68
% 22.46/22.68 -- HEY sandbox, WE HAVE A PROOF!! --
% 22.46/22.68
% 22.46/22.68 -----> EMPTY CLAUSE at 22.29 sec ----> 4480 [hyper,136,37,85,unit_del,21,2] {-} $F.
% 22.46/22.68
% 22.46/22.68 Length of proof is 7. Level of proof is 4.
% 22.46/22.68
% 22.46/22.68 ---------------- PROOF ----------------
% 22.46/22.68 % SZS status Theorem
% 22.46/22.68 % SZS output start Refutation
% 22.46/22.68
% 22.46/22.68 2 [] {+} -distinct_lines(A,A).
% 22.46/22.68 15 [] {+} -distinct_lines(A,B)|convergent_lines(A,B).
% 22.46/22.68 20 [] {+} -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|unorthogonal_lines(B,C).
% 22.46/22.68 21 [] {+} -unorthogonal_lines(orthogonal_through_point(A,B),A).
% 22.46/22.68 28 [] {+} unorthogonal_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C).
% 22.46/22.68 37 [] {+} -orthogonal_lines(A,B)| -unorthogonal_lines(A,B).
% 22.46/22.68 38 [] {-} -equal_lines($c2,orthogonal_through_point($c1,$c3)).
% 22.46/22.68 39 [copy,38,flip.1] {+} -equal_lines(orthogonal_through_point($c1,$c3),$c2).
% 22.46/22.68 40 [] {+} convergent_lines(A,B)|unorthogonal_lines(A,B).
% 22.46/22.68 42 [] {-} equal_lines(A,B)|distinct_lines(A,B).
% 22.46/22.68 47 [] {+} orthogonal_lines($c2,$c1).
% 22.46/22.68 49 [hyper,47,37,40] {+} convergent_lines($c2,$c1).
% 22.46/22.68 50 [hyper,49,28] {+} unorthogonal_lines(A,$c2)|unorthogonal_lines(A,$c1).
% 22.46/22.68 78 [hyper,42,39] {-} distinct_lines(orthogonal_through_point($c1,$c3),$c2).
% 22.46/22.68 85 [para_from,42.1.1,47.1.1] {+} orthogonal_lines(A,$c1)|distinct_lines($c2,A).
% 22.46/22.68 101 [hyper,78,15] {-} convergent_lines(orthogonal_through_point($c1,$c3),$c2).
% 22.46/22.68 136 [hyper,50,20,101,unit_del,21] {+} unorthogonal_lines(orthogonal_through_point($c1,$c3),A)|unorthogonal_lines($c2,A).
% 22.46/22.68 4480 [hyper,136,37,85,unit_del,21,2] {-} $F.
% 22.46/22.68
% 22.46/22.68 % SZS output end Refutation
% 22.46/22.68 ------------ end of proof -------------
% 22.46/22.68
% 22.46/22.68
% 22.46/22.68 Search stopped by max_proofs option.
% 22.46/22.68
% 22.46/22.68
% 22.46/22.68 Search stopped by max_proofs option.
% 22.46/22.68
% 22.46/22.68 ============ end of search ============
% 22.46/22.68
% 22.46/22.68 ----------- soft-scott stats ----------
% 22.46/22.68
% 22.46/22.68 true clauses given 53 (23.5%)
% 22.46/22.68 false clauses given 173
% 22.46/22.68
% 22.46/22.68 FALSE TRUE
% 22.46/22.68 5 4 0
% 22.46/22.68 7 1 1
% 22.46/22.68 8 130 40
% 22.46/22.68 9 177 39
% 22.46/22.68 10 417 71
% 22.46/22.68 11 270 81
% 22.46/22.68 12 23 21
% 22.46/22.68 13 20 23
% 22.46/22.68 14 21 72
% 22.46/22.68 15 49 51
% 22.46/22.68 16 28 30
% 22.46/22.68 17 89 127
% 22.46/22.68 18 122 13
% 22.46/22.68 19 184 114
% 22.46/22.68 20 187 13
% 22.46/22.68 21 60 0
% 22.46/22.68 22 169 2
% 22.46/22.68 23 285 13
% 22.46/22.68 24 164 0
% 22.46/22.68 25 68 0
% 22.46/22.68 tot: 2468 711 (22.4% true)
% 22.46/22.68
% 22.46/22.68
% 22.46/22.68 Model 74 [ 433 1 704 ] (0.00 seconds, 250000 Inserts)
% 22.46/22.68
% 22.46/22.68 That finishes the proof of the theorem.
% 22.46/22.68
% 22.46/22.68 Process 1338 finished Fri Jun 17 18:07:23 2022
%------------------------------------------------------------------------------