TSTP Solution File: GEO176+3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO176+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n023.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 06:18:43 EDT 2022
% Result : Theorem 37.32s 37.51s
% Output : Refutation 37.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO176+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n023.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 : Fri Jun 17 22:59:19 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.35 ----- Otter 3.2, August 2001 -----
% 0.13/0.35 The process was started by sandbox2 on n023.cluster.edu,
% 0.13/0.35 Fri Jun 17 22:59:19 2022
% 0.13/0.35 The command was "./sos". The process ID is 20909.
% 0.13/0.35
% 0.13/0.35 set(prolog_style_variables).
% 0.13/0.35 set(auto).
% 0.13/0.35 dependent: set(auto1).
% 0.13/0.35 dependent: set(process_input).
% 0.13/0.35 dependent: clear(print_kept).
% 0.13/0.35 dependent: clear(print_new_demod).
% 0.13/0.35 dependent: clear(print_back_demod).
% 0.13/0.35 dependent: clear(print_back_sub).
% 0.13/0.35 dependent: set(control_memory).
% 0.13/0.35 dependent: assign(max_mem, 12000).
% 0.13/0.35 dependent: assign(pick_given_ratio, 4).
% 0.13/0.35 dependent: assign(stats_level, 1).
% 0.13/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35 dependent: assign(sos_limit, 5000).
% 0.13/0.35 dependent: assign(max_weight, 60).
% 0.13/0.35 clear(print_given).
% 0.13/0.35
% 0.13/0.35 formula_list(usable).
% 0.13/0.35
% 0.13/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.13/0.35
% 0.13/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.35 clauses in usable.
% 0.13/0.35
% 0.13/0.35 dependent: set(knuth_bendix).
% 0.13/0.35 dependent: set(para_from).
% 0.13/0.35 dependent: set(para_into).
% 0.13/0.35 dependent: clear(para_from_right).
% 0.13/0.35 dependent: clear(para_into_right).
% 0.13/0.35 dependent: set(para_from_vars).
% 0.13/0.35 dependent: set(eq_units_both_ways).
% 0.13/0.35 dependent: set(dynamic_demod_all).
% 0.13/0.35 dependent: set(dynamic_demod).
% 0.13/0.35 dependent: set(order_eq).
% 0.13/0.35 dependent: set(back_demod).
% 0.13/0.35 dependent: set(lrpo).
% 0.13/0.35 dependent: set(hyper_res).
% 0.13/0.35 dependent: set(unit_deletion).
% 0.13/0.35 dependent: set(factor).
% 0.13/0.35
% 0.13/0.35 ------------> process usable:
% 0.13/0.35 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).
% 0.13/0.35 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).
% 0.13/0.35 28 back subsumes 27.
% 0.13/0.35
% 0.13/0.35 ------------> process sos:
% 0.13/0.35 Following clause subsumed by 39 during input processing: 0 [] {-} convergent_lines(A,B)|unorthogonal_lines(A,B).
% 0.13/0.35
% 0.13/0.35 ======= end of input processing =======
% 0.19/0.40
% 0.19/0.40 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.40
% 0.19/0.40 Stopped by limit on number of solutions
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 -------------- Softie stats --------------
% 0.19/0.40
% 0.19/0.40 UPDATE_STOP: 300
% 0.19/0.40 SFINDER_TIME_LIMIT: 2
% 0.19/0.40 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.40 number of clauses in intial UL: 37
% 0.19/0.40 number of clauses initially in problem: 46
% 0.19/0.40 percentage of clauses intially in UL: 80
% 0.19/0.40 percentage of distinct symbols occuring in initial UL: 95
% 0.19/0.40 percent of all initial clauses that are short: 100
% 0.19/0.40 absolute distinct symbol count: 20
% 0.19/0.40 distinct predicate count: 12
% 0.19/0.40 distinct function count: 4
% 0.19/0.40 distinct constant count: 4
% 0.19/0.40
% 0.19/0.40 ---------- no more Softie stats ----------
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.40
% 0.19/0.40 Stopped by limit on number of solutions
% 0.19/0.40
% 0.19/0.40 =========== start of search ===========
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 3 [ 3 1 280 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 4 [ 4 1 712 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 5 [ 1 0 239 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 6 [ 13 1 478 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 7 [ 13 0 369 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 8 [ 13 0 485 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 9 [ 13 1 415 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 10 [ 14 0 685 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 11 [ 13 0 384 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 12 [ 5 0 152 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 13 [ 19 0 547 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 14 [ 26 0 237 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 15 [ 7 0 1008 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 16 [ 31 1 162 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 17 [ 26 0 886 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 18 [ 30 1 532 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 19 [ 12 0 819 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 20 [ 43 1 162 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 21 [ 33 0 350 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 22 [ 14 0 661 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 23 [ 47 0 174 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 24 [ 47 1 421 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 25 [ 46 0 3054 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 26 [ 50 0 560 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 27 [ 27 1 1296 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 28 [ 74 0 391 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 29 [ 66 0 646 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 30 [ 69 0 174 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 31 [ 106 1 583 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 32 [ 78 0 326 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 33 [ 73 0 644 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 34 [ 75 1 889 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 35 [ 112 0 173 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 36 [ 79 0 579 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 37 [ 117 1 899 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 38 [ 123 0 753 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 39 [ 90 0 467 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 40 [ 96 1 5877 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 41 [ 121 0 590 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 42 [ 102 1 446 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 43 [ 90 1 309 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 44 [ 131 0 610 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 45 [ 107 2 5766 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 46 [ 163 1 586 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 47 [ 85 8 29806 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 48 [ 102 1 184 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 14.92/15.15 Stopped by limit on insertions
% 14.92/15.15
% 14.92/15.15 Model 49 [ 194 1 923 ] (0.00 seconds, 250000 Inserts)
% 14.92/15.15
% 21.92/22.12 Stopped by limi
% 21.92/22.12
% 21.92/22.12 Changing weight limit from 60 to 25.
% 21.92/22.12 t on insertions
% 21.92/22.12
% 21.92/22.12 Model 50 [ 194 0 607 ] (0.00 seconds, 250000 Inserts)
% 21.92/22.12
% 21.92/22.12 Stopped by limit on insertions
% 21.92/22.12
% 21.92/22.12 Model 51 [ 105 1 1656 ] (0.00 seconds, 250000 Inserts)
% 21.92/22.12
% 21.92/22.12 Stopped by limit on insertions
% 21.92/22.12
% 21.92/22.12 Model 52 [ 219 2 6483 ] (0.00 seconds, 250000 Inserts)
% 21.92/22.12
% 21.92/22.12 Stopped by limit on insertions
% 21.92/22.12
% 21.92/22.12 Model 53 [ 247 1 606 ] (0.00 seconds, 250000 Inserts)
% 21.92/22.12
% 21.92/22.12 Stopped by limit on insertions
% 21.92/22.12
% 21.92/22.12 Model 54 [ 224 15 59152 ] (0.00 seconds, 250000 Inserts)
% 21.92/22.12
% 21.92/22.12 Stopped by limit on insertions
% 21.92/22.12
% 21.92/22.12 Model 55 [ 159 1 873 ] (0.00 seconds, 250000 Inserts)
% 21.92/22.12
% 21.92/22.12 Stopped by limit on insertions
% 21.92/22.12
% 21.92/22.12 Model 56 [ 236 1 715 ] (0.00 seconds, 250000 Inserts)
% 21.92/22.12
% 21.92/22.12 Stopped by limit on insertions
% 21.92/22.12
% 21.92/22.12 Model 57 [ 307 1 1383 ] (0.00 seconds, 250000 Inserts)
% 21.92/22.12
% 21.92/22.12 Stopped by limit on insertions
% 21.92/22.12
% 21.92/22.12 Model 58 [ 189 1 172 ] (0.00 seconds, 250000 Inserts)
% 21.92/22.12
% 21.92/22.12 Resetting weight limit to 25 after 185 givens.
% 21.92/22.12
% 22.01/22.25
% 22.01/22.25
% 22.01/22.25 Changing weight limit from 25 to 24.
% 22.01/22.25
% 22.01/22.25 Resetting weight limit to 24 after 190 givens.
% 22.01/22.25
% 22.01/22.26
% 22.01/22.26
% 22.01/22.26 Changing weight limit from 24 to 23.
% 22.01/22.26
% 22.01/22.26 Resetting weight limit to 23 after 195 givens.
% 22.01/22.26
% 22.51/22.74
% 22.51/22.74
% 22.51/22.74 Changing weight limit from 23 to 22.
% 22.51/22.74
% 22.51/22.74 Resetting weight limit to 22 after 215 givens.
% 22.51/22.74
% 22.81/23.08
% 22.81/23.08
% 22.81/23.08 Changing weight limit from 22 to 21.
% 22.81/23.08
% 22.81/23.08 Resetting weight limit to 21 after 225 givens.
% 22.81/23.08
% 25.04/25.24
% 25.04/25.24
% 25.04/25.24 Changing weight limit from 21 to 20.
% 25.04/25.24
% 25.04/25.24 Stopped by limit on insertions
% 25.04/25.24
% 25.04/25.24 Model 59 [ 226 0 657 ] (0.00 seconds, 250000 Inserts)
% 25.04/25.24
% 25.04/25.24 Resetting weight limit to 20 after 270 givens.
% 25.04/25.24
% 36.73/36.95
% 36.73/36.95
% 36.73/36.95 Changing weight limit from 20 to 19.
% 36.73/36.95
% 36.73/36.95 Stopped by limit on insertions
% 36.73/36.95
% 36.73/36.95 Model 60 [ 216 1 893 ] (0.00 seconds, 250000 Inserts)
% 36.73/36.95
% 36.73/36.95 Stopped by limit on insertions
% 36.73/36.95
% 36.73/36.95 Model 61 [ 227 0 703 ] (0.00 seconds, 250000 Inserts)
% 36.73/36.95
% 36.73/36.95 Stopped by limit on insertions
% 36.73/36.95
% 36.73/36.95 Model 62 [ 255 1 160 ] (0.00 seconds, 250000 Inserts)
% 36.73/36.95
% 36.73/36.95 Stopped by limit on insertions
% 36.73/36.95
% 36.73/36.95 Model 63 [ 370 6 20034 ] (0.00 seconds, 250000 Inserts)
% 36.73/36.95
% 36.73/36.95 Stopped by limit on insertions
% 36.73/36.95
% 36.73/36.95 Model 64 [ 258 1 1206 ] (0.00 seconds, 250000 Inserts)
% 36.73/36.95
% 36.73/36.95 Stopped by limit on insertions
% 36.73/36.95
% 36.73/36.95 Model 65 [ 425 1 370 ] (0.00 seconds, 250000 Inserts)
% 36.73/36.95
% 36.73/36.95 Stopped by limit on insertions
% 36.73/36.95
% 36.73/36.95 Model 66 [ 285 1 557 ] (0.00 seconds, 250000 Inserts)
% 36.73/36.95
% 36.73/36.95 Stopped by limit on insertions
% 36.73/36.95
% 36.73/36.95 Stopped by limit on insertions
% 36.73/36.95
% 36.73/36.95 Model 67 [ 431 1 275 ] (0.00 seconds, 250000 Inserts)
% 36.73/36.95
% 36.73/36.95 Stopped by limit on insertions
% 36.73/36.95
% 36.73/36.95 Model 68 [ 291 1 1048 ] (0.00 seconds, 250000 Inserts)
% 36.73/36.95
% 36.73/36.95 Modelling stopped after 300 given clauses and 0.00 seconds
% 36.73/36.95
% 36.73/36.95
% 36.73/36.95 Resetting weight limit to 19 after 445 givens.
% 36.73/36.95
% 36.94/37.18
% 36.94/37.18
% 36.94/37.18 Changing weight limit from 19 to 18.
% 36.94/37.18
% 36.94/37.18 Resetting weight limit to 18 after 470 givens.
% 36.94/37.18
% 37.02/37.26
% 37.02/37.26
% 37.02/37.26 Changing weight limit from 18 to 17.
% 37.02/37.26
% 37.02/37.26 Resetting weight limit to 17 after 480 givens.
% 37.02/37.26
% 37.32/37.51
% 37.32/37.51 -- HEY sandbox2, WE HAVE A PROOF!! --
% 37.32/37.51
% 37.32/37.51 ----> UNIT CONFLICT at 37.07 sec ----> 16313 [binary,16312.1,16.1] {-} $F.
% 37.32/37.51
% 37.32/37.51 Length of proof is 10. Level of proof is 5.
% 37.32/37.51
% 37.32/37.51 ---------------- PROOF ----------------
% 37.32/37.51 % SZS status Theorem
% 37.32/37.51 % SZS output start Refutation
% 37.32/37.51
% 37.32/37.51 2 [] {+} -distinct_lines(A,A).
% 37.32/37.51 3 [] {+} -convergent_lines(A,A).
% 37.32/37.51 9 [] {+} -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),A).
% 37.32/37.51 12 [] {+} -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 37.32/37.51 15 [] {+} -distinct_lines(A,B)|convergent_lines(A,B).
% 37.32/37.51 16 [] {+} -convergent_lines(parallel_through_point(A,B),A).
% 37.32/37.51 17 [] {+} -apart_point_and_line(A,parallel_through_point(B,A)).
% 37.32/37.51 38 [] {+} -distinct_points($c4,intersection_point($c2,$c1)).
% 37.32/37.51 41 [] {+} equal_lines(A,B)|distinct_lines(A,B).
% 37.32/37.51 46 [] {+} convergent_lines($c2,$c1).
% 37.32/37.51 47 [] {-} apart_point_and_line($c4,$c2)|apart_point_and_line($c4,$c1).
% 37.32/37.51 79 [para_from,41.1.1,46.1.1] {+} convergent_lines(A,$c1)|distinct_lines($c2,A).
% 37.32/37.51 82 [para_from,41.1.1,38.1.1] {+} -distinct_points(A,intersection_point($c2,$c1))|distinct_lines($c4,A).
% 37.32/37.51 87 [para_from,41.1.1,17.1.2] {+} -apart_point_and_line(A,B)|distinct_lines(parallel_through_point(C,A),B).
% 37.32/37.51 92 [para_from,41.1.1,9.2.1] {+} -convergent_lines(A,B)| -apart_point_and_line(C,A)|distinct_lines(intersection_point(A,B),C).
% 37.32/37.51 107 [hyper,47,12] {-} apart_point_and_line($c4,$c1)|distinct_points($c4,A)|apart_point_and_line(A,$c2).
% 37.32/37.51 583 [hyper,79,15] {+} convergent_lines(A,$c1)|convergent_lines($c2,A).
% 37.32/37.51 6079 [hyper,107,82,unit_del,2] {-} apart_point_and_line($c4,$c1)|apart_point_and_line(intersection_point($c2,$c1),$c2).
% 37.32/37.51 15938 [hyper,6079,92,583,unit_del,2,3] {-} apart_point_and_line($c4,$c1).
% 37.32/37.51 16104 [hyper,15938,87] {-} distinct_lines(parallel_through_point(A,$c4),$c1).
% 37.32/37.51 16312 [hyper,16104,15] {-} convergent_lines(parallel_through_point(A,$c4),$c1).
% 37.32/37.51 16313 [binary,16312.1,16.1] {-} $F.
% 37.32/37.51
% 37.32/37.51 % SZS output end Refutation
% 37.32/37.51 ------------ end of proof -------------
% 37.32/37.51
% 37.32/37.52
% 37.32/37.52 Search stopped by max_proofs option.
% 37.32/37.52
% 37.32/37.52
% 37.32/37.52 Search stopped by max_proofs option.
% 37.32/37.52
% 37.32/37.52 ============ end of search ============
% 37.32/37.52
% 37.32/37.52 ----------- soft-scott stats ----------
% 37.32/37.52
% 37.32/37.52 true clauses given 135 (27.4%)
% 37.32/37.52 false clauses given 357
% 37.32/37.52
% 37.32/37.52 FALSE TRUE
% 37.32/37.52 5 8 3
% 37.32/37.52 6 5 0
% 37.32/37.52 7 12 4
% 37.32/37.52 8 80 197
% 37.32/37.52 9 205 263
% 37.32/37.52 10 486 471
% 37.32/37.52 11 990 409
% 37.32/37.52 12 123 611
% 37.32/37.52 13 0 226
% 37.32/37.52 14 53 254
% 37.32/37.52 15 42 0
% 37.32/37.52 16 71 0
% 37.32/37.52 17 28 0
% 37.32/37.52 tot: 2103 2438 (53.7% true)
% 37.32/37.52
% 37.32/37.52
% 37.32/37.52 Model 68 [ 291 1 1048 ] (0.00 seconds, 250000 Inserts)
% 37.32/37.52
% 37.32/37.52 That finishes the proof of the theorem.
% 37.32/37.52
% 37.32/37.52 Process 20909 finished Fri Jun 17 22:59:56 2022
%------------------------------------------------------------------------------