TSTP Solution File: GEO177+3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO177+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n003.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 06:18:44 EDT 2022
% Result : Theorem 160.34s 160.53s
% Output : Refutation 160.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO177+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n003.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 : Sat Jun 18 03:27:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.36 ----- Otter 3.2, August 2001 -----
% 0.19/0.36 The process was started by sandbox2 on n003.cluster.edu,
% 0.19/0.36 Sat Jun 18 03:27:28 2022
% 0.19/0.36 The command was "./sos". The process ID is 21886.
% 0.19/0.36
% 0.19/0.36 set(prolog_style_variables).
% 0.19/0.36 set(auto).
% 0.19/0.36 dependent: set(auto1).
% 0.19/0.36 dependent: set(process_input).
% 0.19/0.36 dependent: clear(print_kept).
% 0.19/0.36 dependent: clear(print_new_demod).
% 0.19/0.36 dependent: clear(print_back_demod).
% 0.19/0.36 dependent: clear(print_back_sub).
% 0.19/0.36 dependent: set(control_memory).
% 0.19/0.36 dependent: assign(max_mem, 12000).
% 0.19/0.36 dependent: assign(pick_given_ratio, 4).
% 0.19/0.36 dependent: assign(stats_level, 1).
% 0.19/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.36 dependent: assign(sos_limit, 5000).
% 0.19/0.36 dependent: assign(max_weight, 60).
% 0.19/0.36 clear(print_given).
% 0.19/0.36
% 0.19/0.36 formula_list(usable).
% 0.19/0.36
% 0.19/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.19/0.36
% 0.19/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.36 clauses in usable.
% 0.19/0.36
% 0.19/0.36 dependent: set(knuth_bendix).
% 0.19/0.36 dependent: set(para_from).
% 0.19/0.36 dependent: set(para_into).
% 0.19/0.36 dependent: clear(para_from_right).
% 0.19/0.36 dependent: clear(para_into_right).
% 0.19/0.36 dependent: set(para_from_vars).
% 0.19/0.36 dependent: set(eq_units_both_ways).
% 0.19/0.36 dependent: set(dynamic_demod_all).
% 0.19/0.36 dependent: set(dynamic_demod).
% 0.19/0.36 dependent: set(order_eq).
% 0.19/0.36 dependent: set(back_demod).
% 0.19/0.36 dependent: set(lrpo).
% 0.19/0.36 dependent: set(hyper_res).
% 0.19/0.36 dependent: set(unit_deletion).
% 0.19/0.36 dependent: set(factor).
% 0.19/0.36
% 0.19/0.36 ------------> process usable:
% 0.19/0.36 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).
% 0.19/0.36 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).
% 0.19/0.36 28 back subsumes 27.
% 0.19/0.36
% 0.19/0.36 ------------> process sos:
% 0.19/0.36 Following clause subsumed by 40 during input processing: 0 [] {-} convergent_lines(A,B)|unorthogonal_lines(A,B).
% 0.19/0.36
% 0.19/0.36 ======= end of input processing =======
% 0.19/0.41
% 0.19/0.41 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.41
% 0.19/0.41 Stopped by limit on number of solutions
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 -------------- Softie stats --------------
% 0.19/0.41
% 0.19/0.41 UPDATE_STOP: 300
% 0.19/0.41 SFINDER_TIME_LIMIT: 2
% 0.19/0.41 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.41 number of clauses in intial UL: 38
% 0.19/0.41 number of clauses initially in problem: 47
% 0.19/0.41 percentage of clauses intially in UL: 80
% 0.19/0.41 percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.41 percent of all initial clauses that are short: 100
% 0.19/0.41 absolute distinct symbol count: 20
% 0.19/0.41 distinct predicate count: 12
% 0.19/0.41 distinct function count: 4
% 0.19/0.41 distinct constant count: 4
% 0.19/0.41
% 0.19/0.41 ---------- no more Softie stats ----------
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.41
% 0.19/0.41 Stopped by limit on number of solutions
% 0.19/0.41
% 0.19/0.41 =========== start of search ===========
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 3 [ 3 0 338 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 4 [ 3 0 594 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 5 [ 2 0 760 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 6 [ 14 0 615 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 7 [ 12 0 747 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 8 [ 12 0 392 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 9 [ 12 0 350 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 10 [ 2 2 56561 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 11 [ 12 1 435 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 12 [ 18 1 164 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 13 [ 14 0 418 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 14 [ 11 1 630 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 15 [ 15 0 516 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 16 [ 23 0 1028 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 17 [ 17 0 289 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 18 [ 17 0 521 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 19 [ 35 0 947 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 20 [ 27 0 643 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 21 [ 18 0 584 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 22 [ 47 0 155 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 23 [ 32 0 642 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 24 [ 19 1 834 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 25 [ 62 0 325 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 26 [ 26 1 616 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 27 [ 69 1 647 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 28 [ 37 0 577 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 29 [ 192 1 1610 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 30 [ 95 0 233 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 31 [ 105 1 255 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 32 [ 128 1 154 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 33 [ 90 0 667 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 34 [ 129 1 411 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 35 [ 105 0 855 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 36 [ 120 1 455 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 37 [ 111 0 356 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 38 [ 111 0 851 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 39 [ 102 1 901 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 40 [ 177 1 891 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 41 [ 124 0 621 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 42 [ 138 1 581 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 43 [ 165 0 260 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 44 [ 165 1 165 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 45 [ 139 1 870 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 46 [ 180 1 577 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 47 [ 132 0 233 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 48 [ 222 0 586 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 11.96/12.18 Stopped by limit on insertions
% 11.96/12.18
% 11.96/12.18 Model 49 [ 135 0 906 ] (0.00 seconds, 250000 Inserts)
% 11.96/12.18
% 20.21/20.44 Stopped b
% 20.21/20.44
% 20.21/20.44 Changing weight limit from 60 to 24.
% 20.21/20.44 y limit on insertions
% 20.21/20.44
% 20.21/20.44 Model 50 [ 300 1 165 ] (0.00 seconds, 250000 Inserts)
% 20.21/20.44
% 20.21/20.44 Stopped by limit on insertions
% 20.21/20.44
% 20.21/20.44 Model 51 [ 231 0 159 ] (0.00 seconds, 250000 Inserts)
% 20.21/20.44
% 20.21/20.44 Stopped by limit on insertions
% 20.21/20.44
% 20.21/20.44 Model 52 [ 191 1 529 ] (0.00 seconds, 250000 Inserts)
% 20.21/20.44
% 20.21/20.44 Stopped by limit on insertions
% 20.21/20.44
% 20.21/20.44 Model 53 [ 270 1 584 ] (0.00 seconds, 250000 Inserts)
% 20.21/20.44
% 20.21/20.44 Stopped by limit on insertions
% 20.21/20.44
% 20.21/20.44 Model 54 [ 291 0 303 ] (0.00 seconds, 250000 Inserts)
% 20.21/20.44
% 20.21/20.44 Stopped by limit on insertions
% 20.21/20.44
% 20.21/20.44 Model 55 [ 273 1 385 ] (0.00 seconds, 250000 Inserts)
% 20.21/20.44
% 20.21/20.44 Stopped by limit on insertions
% 20.21/20.44
% 20.21/20.44 Stopped by limit on insertions
% 20.21/20.44
% 20.21/20.44 Model 56 [ 303 0 442 ] (0.00 seconds, 250000 Inserts)
% 20.21/20.44
% 20.21/20.44 Stopped by limit on insertions
% 20.21/20.44
% 20.21/20.44 Model 57 [ 378 1 152 ] (0.00 seconds, 250000 Inserts)
% 20.21/20.44
% 20.21/20.44 Stopped by limit on insertions
% 20.21/20.44
% 20.21/20.44 Model 58 [ 279 1 1202 ] (0.00 seconds, 250000 Inserts)
% 20.21/20.44
% 20.21/20.44 Stopped by limit on insertions
% 20.21/20.44
% 20.21/20.44 Model 59 [ 333 1 1903 ] (0.00 seconds, 250000 Inserts)
% 20.21/20.44
% 20.21/20.44 Stopped by limit on insertions
% 20.21/20.44
% 20.21/20.44 Model 60 [ 282 1 1273 ] (0.00 seconds, 250000 Inserts)
% 20.21/20.44
% 20.21/20.44 Resetting weight limit to 24 after 180 givens.
% 20.21/20.44
% 20.34/20.53
% 20.34/20.53
% 20.34/20.53 Changing weight limit from 24 to 23.
% 20.34/20.53
% 20.34/20.53 Resetting weight limit to 23 after 185 givens.
% 20.34/20.53
% 20.60/20.81
% 20.60/20.81
% 20.60/20.81 Changing weight limit from 23 to 22.
% 20.60/20.81
% 20.60/20.81 Resetting weight limit to 22 after 200 givens.
% 20.60/20.81
% 21.56/21.74
% 21.56/21.74
% 21.56/21.74 Changing weight limit from 22 to 21.
% 21.56/21.74
% 21.56/21.74 Resetting weight limit to 21 after 235 givens.
% 21.56/21.74
% 30.54/30.75
% 30.54/30.75
% 30.54/30.75 Changing weight limit from 21 to 20.
% 30.54/30.75
% 30.54/30.75 Stopped by limit on insertions
% 30.54/30.75
% 30.54/30.75 Model 61 [ 370 2 269 ] (0.00 seconds, 250000 Inserts)
% 30.54/30.75
% 30.54/30.75 Stopped by limit on insertions
% 30.54/30.75
% 30.54/30.75 Model 62 [ 312 1 236 ] (0.00 seconds, 250000 Inserts)
% 30.54/30.75
% 30.54/30.75 Stopped by limit on insertions
% 30.54/30.75
% 30.54/30.75 Model 63 [ 379 4 10412 ] (0.00 seconds, 250000 Inserts)
% 30.54/30.75
% 30.54/30.75 Stopped by limit on insertions
% 30.54/30.75
% 30.54/30.75 Model 64 [ 315 1 453 ] (0.00 seconds, 250000 Inserts)
% 30.54/30.75
% 30.54/30.75 Resetting weight limit to 20 after 360 givens.
% 30.54/30.75
% 37.03/37.24
% 37.03/37.24
% 37.03/37.24 Changing weight limit from 20 to 19.
% 37.03/37.24
% 37.03/37.24 Stopped by limit on insertions
% 37.03/37.24
% 37.03/37.24 Model 65 [ 422 2 1236 ] (0.00 seconds, 250000 Inserts)
% 37.03/37.24
% 37.03/37.24 Stopped by limit on insertions
% 37.03/37.24
% 37.03/37.24 Model 66 [ 343 1 1448 ] (0.00 seconds, 250000 Inserts)
% 37.03/37.24
% 37.03/37.24 Stopped by limit on insertions
% 37.03/37.24
% 37.03/37.24 Model 67 [ 391 1 2794 ] (0.00 seconds, 250000 Inserts)
% 37.03/37.24
% 37.03/37.24 Stopped by limit on insertions
% 37.03/37.24
% 37.03/37.24 Model 68 [ 355 1 1357 ] (0.00 seconds, 250000 Inserts)
% 37.03/37.24
% 37.03/37.24 Modelling stopped after 300 given clauses and 0.00 seconds
% 37.03/37.24
% 37.03/37.24
% 37.03/37.24 Resetting weight limit to 19 after 415 givens.
% 37.03/37.24
% 38.73/38.90
% 38.73/38.90
% 38.73/38.90 Changing weight limit from 19 to 18.
% 38.73/38.90
% 38.73/38.90 Resetting weight limit to 18 after 465 givens.
% 38.73/38.90
% 39.01/39.19
% 39.01/39.19
% 39.01/39.19 Changing weight limit from 18 to 17.
% 39.01/39.19
% 39.01/39.19 Resetting weight limit to 17 after 480 givens.
% 39.01/39.19
% 40.23/40.43
% 40.23/40.43
% 40.23/40.43 Changing weight limit from 17 to 16.
% 40.23/40.43
% 40.23/40.43 Resetting weight limit to 16 after 520 givens.
% 40.23/40.43
% 41.51/41.69
% 41.51/41.69
% 41.51/41.69 Changing weight limit from 16 to 15.
% 41.51/41.69
% 41.51/41.69 Resetting weight limit to 15 after 625 givens.
% 41.51/41.69
% 43.05/43.26
% 43.05/43.26
% 43.05/43.26 Changing weight limit from 15 to 14.
% 43.05/43.26
% 43.05/43.26 Resetting weight limit to 14 after 745 givens.
% 43.05/43.26
% 49.73/49.96
% 49.73/49.96
% 49.73/49.96 Changing weight limit from 14 to 13.
% 49.73/49.96
% 49.73/49.96 Resetting weight limit to 13 after 1370 givens.
% 49.73/49.96
% 50.85/51.03
% 50.85/51.03
% 50.85/51.03 Changing weight limit from 13 to 12.
% 50.85/51.03
% 50.85/51.03 Resetting weight limit to 12 after 1475 givens.
% 50.85/51.03
% 160.34/160.53
% 160.34/160.53 -- HEY sandbox2, WE HAVE A PROOF!! --
% 160.34/160.53
% 160.34/160.53 ----> UNIT CONFLICT at 156.49 sec ----> 40781 [binary,40780.1,16.1] {-} $F.
% 160.34/160.53
% 160.34/160.53 Length of proof is 6. Level of proof is 6.
% 160.34/160.53
% 160.34/160.53 ---------------- PROOF ----------------
% 160.34/160.53 % SZS status Theorem
% 160.34/160.53 % SZS output start Refutation
% 160.34/160.53
% 160.34/160.53 15 [] {+} -distinct_lines(A,B)|convergent_lines(A,B).
% 160.34/160.53 16 [] {+} -convergent_lines(parallel_through_point(A,B),A).
% 160.34/160.53 17 [] {+} -apart_point_and_line(A,parallel_through_point(B,A)).
% 160.34/160.53 42 [] {+} equal_lines(A,B)|distinct_lines(A,B).
% 160.34/160.53 48 [] {-} apart_point_and_line($c4,line_connecting($c2,$c1))|apart_point_and_line($c3,line_connecting($c2,$c1)).
% 160.34/160.53 94 [para_from,42.1.1,17.1.2] {+} -apart_point_and_line(A,B)|distinct_lines(parallel_through_point(C,A),B).
% 160.34/160.53 3955 [hyper,94,48] {-} distinct_lines(parallel_through_point(A,$c3),line_connecting($c2,$c1))|apart_point_and_line($c4,line_connecting($c2,$c1)).
% 160.34/160.53 32285 [hyper,3955,15] {-} apart_point_and_line($c4,line_connecting($c2,$c1))|convergent_lines(parallel_through_point(A,$c3),line_connecting($c2,$c1)).
% 160.34/160.53 40335 [hyper,32285,16] {-} apart_point_and_line($c4,line_connecting($c2,$c1)).
% 160.34/160.53 40560 [hyper,40335,94] {-} distinct_lines(parallel_through_point(A,$c4),line_connecting($c2,$c1)).
% 160.34/160.53 40780 [hyper,40560,15] {-} convergent_lines(parallel_through_point(A,$c4),line_connecting($c2,$c1)).
% 160.34/160.53 40781 [binary,40780.1,16.1] {-} $F.
% 160.34/160.53
% 160.34/160.53 % SZS output end Refutation
% 160.34/160.53 ------------ end of proof -------------
% 160.34/160.53
% 160.34/160.53
% 160.34/160.53 Search stopped by max_proofs option.
% 160.34/160.53
% 160.34/160.53
% 160.34/160.53 Search stopped by max_proofs option.
% 160.34/160.53
% 160.34/160.53 ============ end of search ============
% 160.34/160.53
% 160.34/160.53 ----------- soft-scott stats ----------
% 160.34/160.53
% 160.34/160.53 true clauses given 2313 (32.8%)
% 160.34/160.53 false clauses given 4740
% 160.34/160.53
% 160.34/160.53 FALSE TRUE
% 160.34/160.53 7 5 2
% 160.34/160.53 8 8 0
% 160.34/160.53 9 4 4
% 160.34/160.53 10 44 36
% 160.34/160.53 11 11 1674
% 160.34/160.53 12 1445 954
% 160.34/160.53 tot: 1517 2670 (63.8% true)
% 160.34/160.53
% 160.34/160.53
% 160.34/160.53 Model 68 [ 355 -123 1357 ] (0.01 seconds, 250000 Inserts)
% 160.34/160.53
% 160.34/160.53 That finishes the proof of the theorem.
% 160.34/160.53
% 160.34/160.53 Process 21886 finished Sat Jun 18 03:30:08 2022
%------------------------------------------------------------------------------