%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO175+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n008.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 43.32s 43.50s
% Output : Refutation 43.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO175+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 12:30:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.36 ----- Otter 3.2, August 2001 -----
% 0.12/0.36 The process was started by sandbox on n008.cluster.edu,
% 0.12/0.36 Sat Jun 18 12:30:22 2022
% 0.12/0.36 The command was "./sos". The process ID is 1207.
% 0.12/0.36
% 0.12/0.36 set(prolog_style_variables).
% 0.12/0.36 set(auto).
% 0.12/0.36 dependent: set(auto1).
% 0.12/0.36 dependent: set(process_input).
% 0.12/0.36 dependent: clear(print_kept).
% 0.12/0.36 dependent: clear(print_new_demod).
% 0.12/0.36 dependent: clear(print_back_demod).
% 0.12/0.36 dependent: clear(print_back_sub).
% 0.12/0.36 dependent: set(control_memory).
% 0.12/0.36 dependent: assign(max_mem, 12000).
% 0.12/0.36 dependent: assign(pick_given_ratio, 4).
% 0.12/0.36 dependent: assign(stats_level, 1).
% 0.12/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36 dependent: assign(sos_limit, 5000).
% 0.12/0.36 dependent: assign(max_weight, 60).
% 0.12/0.36 clear(print_given).
% 0.12/0.36
% 0.12/0.36 formula_list(usable).
% 0.12/0.36
% 0.12/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.12/0.36
% 0.12/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.36 clauses in usable.
% 0.12/0.36
% 0.12/0.36 dependent: set(knuth_bendix).
% 0.12/0.36 dependent: set(para_from).
% 0.12/0.36 dependent: set(para_into).
% 0.12/0.36 dependent: clear(para_from_right).
% 0.12/0.36 dependent: clear(para_into_right).
% 0.12/0.36 dependent: set(para_from_vars).
% 0.12/0.36 dependent: set(eq_units_both_ways).
% 0.12/0.36 dependent: set(dynamic_demod_all).
% 0.12/0.36 dependent: set(dynamic_demod).
% 0.12/0.36 dependent: set(order_eq).
% 0.12/0.36 dependent: set(back_demod).
% 0.12/0.36 dependent: set(lrpo).
% 0.12/0.36 dependent: set(hyper_res).
% 0.12/0.36 dependent: set(unit_deletion).
% 0.12/0.36 dependent: set(factor).
% 0.12/0.36
% 0.12/0.36 ------------> process usable:
% 0.12/0.36 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).
% 0.12/0.36 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).
% 0.12/0.36 28 back subsumes 27.
% 0.12/0.36
% 0.12/0.36 ------------> process sos:
% 0.12/0.36 Following clause subsumed by 40 during input processing: 0 [] {-} convergent_lines(A,B)|unorthogonal_lines(A,B).
% 0.12/0.36
% 0.12/0.36 ======= 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: 38
% 0.19/0.40 number of clauses initially in problem: 47
% 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 ===========
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 3 [ 3 1 908 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 4 [ 4 1 695 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 5 [ 1 1 463 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 6 [ 13 0 587 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 7 [ 13 1 387 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 8 [ 13 0 501 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 9 [ 5 1 335 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 10 [ 13 0 188 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 11 [ 13 0 337 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 12 [ 1 0 595 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 13 [ 19 0 435 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 14 [ 7 0 893 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 15 [ 24 1 314 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 16 [ 11 1 895 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 17 [ 25 0 152 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 18 [ 12 0 166 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 19 [ 26 1 895 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 20 [ 15 0 152 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 21 [ 15 1 1059 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 22 [ 57 1 532 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 23 [ 58 1 514 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 24 [ 18 0 172 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 25 [ 79 1 169 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 26 [ 66 0 617 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 27 [ 32 0 571 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 28 [ 80 1 663 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 29 [ 36 0 630 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 30 [ 85 1 461 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 31 [ 44 0 592 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 32 [ 45 0 152 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 33 [ 125 0 622 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 34 [ 111 0 813 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 35 [ 127 1 578 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 36 [ 100 0 438 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 37 [ 89 0 604 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 38 [ 125 0 437 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 39 [ 172 1 176 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 40 [ 159 0 533 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 41 [ 161 0 454 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 42 [ 124 0 866 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 43 [ 126 0 621 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 44 [ 114 1 583 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 45 [ 179 1 1811 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 46 [ 140 0 614 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 47 [ 205 1 426 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 16.30/16.53 Model 48 [ 259 1 865 ] (0.00 seconds, 250000 Inserts)
% 16.30/16.53
% 16.30/16.53 Stopped by limit on insertions
% 16.30/16.53
% 18.84/19.03 Model 4
% 18.84/19.03
% 18.84/19.03 Changing weight limit from 60 to 24.
% 18.84/19.03 9 [ 167 1 1174 ] (0.00 seconds, 250000 Inserts)
% 18.84/19.03
% 18.84/19.03 Stopped by limit on insertions
% 18.84/19.03
% 18.84/19.03 Model 50 [ 240 1 165 ] (0.00 seconds, 250000 Inserts)
% 18.84/19.03
% 18.84/19.03 Stopped by limit on insertions
% 18.84/19.03
% 18.84/19.03 Model 51 [ 182 1 740 ] (0.00 seconds, 250000 Inserts)
% 18.84/19.03
% 18.84/19.03 Resetting weight limit to 24 after 170 givens.
% 18.84/19.03
% 19.05/19.25
% 19.05/19.25
% 19.05/19.25 Changing weight limit from 24 to 23.
% 19.05/19.25
% 19.05/19.25 Resetting weight limit to 23 after 175 givens.
% 19.05/19.25
% 36.42/36.65
% 36.42/36.65
% 36.42/36.65 Changing weight limit from 23 to 22.
% 36.42/36.65
% 36.42/36.65 Stopped by limit on insertions
% 36.42/36.65
% 36.42/36.65 Model 52 [ 201 1 656 ] (0.00 seconds, 250000 Inserts)
% 36.42/36.65
% 36.42/36.65 Stopped by limit on insertions
% 36.42/36.65
% 36.42/36.65 Model 53 [ 224 1 746 ] (0.00 seconds, 250000 Inserts)
% 36.42/36.65
% 36.42/36.65 Stopped by limit on insertions
% 36.42/36.65
% 36.42/36.65 Model 54 [ 195 9 40764 ] (0.00 seconds, 250000 Inserts)
% 36.42/36.65
% 36.42/36.65 Stopped by limit on insertions
% 36.42/36.65
% 36.42/36.65 Model 55 [ 364 1 573 ] (0.00 seconds, 250000 Inserts)
% 36.42/36.65
% 36.42/36.65 Stopped by limit on insertions
% 36.42/36.65
% 36.42/36.65 Model 56 [ 233 1 958 ] (0.00 seconds, 250000 Inserts)
% 36.42/36.65
% 36.42/36.65 Stopped by limit on insertions
% 36.42/36.65
% 36.42/36.65 Model 57 [ 230 1 534 ] (0.00 seconds, 250000 Inserts)
% 36.42/36.65
% 36.42/36.65 Stopped by limit on insertions
% 36.42/36.65
% 36.42/36.65 Model 58 [ 272 1 154 ] (0.00 seconds, 250000 Inserts)
% 36.42/36.65
% 36.42/36.65 Stopped by limit on insertions
% 36.42/36.65
% 36.42/36.65 Stopped by limit on insertions
% 36.42/36.65
% 36.42/36.65 Model 59 [ 316 1 158 ] (0.00 seconds, 250000 Inserts)
% 36.42/36.65
% 36.42/36.65 Stopped by limit on insertions
% 36.42/36.65
% 36.42/36.65 Model 60 [ 278 1 976 ] (0.00 seconds, 250000 Inserts)
% 36.42/36.65
% 36.42/36.65 Stopped by limit on insertions
% 36.42/36.65
% 36.42/36.65 Model 61 [ 343 1 1029 ] (0.00 seconds, 250000 Inserts)
% 36.42/36.65
% 36.42/36.65 Stopped by limit on insertions
% 36.42/36.65
% 36.42/36.65 Model 62 [ 281 1 969 ] (0.00 seconds, 250000 Inserts)
% 36.42/36.65
% 36.42/36.65 Stopped by limit on insertions
% 36.42/36.65
% 36.42/36.65 Model 63 [ 318 1 338 ] (0.00 seconds, 250000 Inserts)
% 36.42/36.65
% 36.42/36.65 Stopped by limit on insertions
% 36.42/36.65
% 36.42/36.65 Model 64 [ 284 1 896 ] (0.00 seconds, 250000 Inserts)
% 36.42/36.65
% 36.42/36.65 Resetting weight limit to 22 after 320 givens.
% 36.42/36.65
% 36.64/36.84
% 36.64/36.84
% 36.64/36.84 Changing weight limit from 22 to 21.
% 36.64/36.84
% 36.64/36.84 Resetting weight limit to 21 after 325 givens.
% 36.64/36.84
% 36.81/37.01
% 36.81/37.01
% 36.81/37.01 Changing weight limit from 21 to 20.
% 36.81/37.01
% 36.81/37.01 Resetting weight limit to 20 after 335 givens.
% 36.81/37.01
% 42.01/42.24
% 42.01/42.24
% 42.01/42.24 Changing weight limit from 20 to 19.
% 42.01/42.24
% 42.01/42.24 Stopped by limit on insertions
% 42.01/42.24
% 42.01/42.24 Model 65 [ 370 2 2711 ] (0.00 seconds, 250000 Inserts)
% 42.01/42.24
% 42.01/42.24 Stopped by limit on insertions
% 42.01/42.24
% 42.01/42.24 Model 66 [ 312 2 1042 ] (0.00 seconds, 250000 Inserts)
% 42.01/42.24
% 42.01/42.24 Modelling stopped after 300 given clauses and 0.00 seconds
% 42.01/42.24
% 42.01/42.24
% 42.01/42.24 Resetting weight limit to 19 after 415 givens.
% 42.01/42.24
% 42.61/42.87
% 42.61/42.87
% 42.61/42.87 Changing weight limit from 19 to 17.
% 42.61/42.87
% 42.61/42.87 Resetting weight limit to 17 after 425 givens.
% 42.61/42.87
% 42.90/43.12
% 42.90/43.12
% 42.90/43.12 Changing weight limit from 17 to 16.
% 42.90/43.12
% 42.90/43.12 Resetting weight limit to 16 after 445 givens.
% 42.90/43.12
% 43.03/43.26
% 43.03/43.26
% 43.03/43.26 Changing weight limit from 16 to 15.
% 43.03/43.26
% 43.03/43.26 Resetting weight limit to 15 after 460 givens.
% 43.03/43.26
% 43.32/43.50
% 43.32/43.50 -- HEY sandbox, WE HAVE A PROOF!! --
% 43.32/43.50
% 43.32/43.50 ----> UNIT CONFLICT at 43.07 sec ----> 19267 [binary,19266.1,16.1] {-} $F.
% 43.32/43.50
% 43.32/43.50 Length of proof is 15. Level of proof is 12.
% 43.32/43.50
% 43.32/43.50 ---------------- PROOF ----------------
% 43.32/43.50 % SZS status Theorem
% 43.32/43.50 % SZS output start Refutation
% 43.32/43.50
% 43.32/43.50 1 [] {+} -distinct_points(A,A).
% 43.32/43.50 4 [] {+} -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 43.32/43.50 11 [] {+} -distinct_points(A,B)| -distinct_lines(C,D)|apart_point_and_line(A,C)|apart_point_and_line(A,D)|apart_point_and_line(B,C)|apart_point_and_line(B,D).
% 43.32/43.50 15 [] {+} -distinct_lines(A,B)|convergent_lines(A,B).
% 43.32/43.50 16 [] {+} -convergent_lines(parallel_through_point(A,B),A).
% 43.32/43.50 17 [] {+} -apart_point_and_line(A,parallel_through_point(B,A)).
% 43.32/43.50 21 [] {+} -unorthogonal_lines(orthogonal_through_point(A,B),A).
% 43.32/43.50 28 [] {+} unorthogonal_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C).
% 43.32/43.50 38 [] {+} -apart_point_and_line($c4,$c2).
% 43.32/43.50 39 [] {+} -apart_point_and_line($c4,$c1).
% 43.32/43.50 41 [] {+} equal_points(A,B)|distinct_points(A,B).
% 43.32/43.50 42 [] {+} equal_lines(A,B)|distinct_lines(A,B).
% 43.32/43.50 46 [] {+} distinct_points($c4,$c3).
% 43.32/43.50 47 [] {+} convergent_lines($c2,$c1).
% 43.32/43.50 50 [hyper,46,4] {+} distinct_points($c4,A)|distinct_points($c3,A).
% 43.32/43.50 51 [hyper,47,28] {+} unorthogonal_lines(A,$c2)|unorthogonal_lines(A,$c1).
% 43.32/43.50 96 [para_from,42.1.1,17.1.2] {+} -apart_point_and_line(A,B)|distinct_lines(parallel_through_point(C,A),B).
% 43.32/43.50 116 [hyper,50,1] {+} distinct_points($c3,$c4).
% 43.32/43.50 139 [para_into,51.1.2,41.1.1] {-} unorthogonal_lines(A,B)|unorthogonal_lines(A,$c1)|distinct_points($c2,B).
% 43.32/43.50 143 [factor,139.1.2] {+} unorthogonal_lines(A,$c1)|distinct_points($c2,$c1).
% 43.32/43.50 335 [hyper,143,21] {+} distinct_points($c2,$c1).
% 43.32/43.50 359 [para_into,335.1.1,42.1.1] {-} distinct_points(A,$c1)|distinct_lines($c2,A).
% 43.32/43.50 731 [hyper,359,1] {+} distinct_lines($c2,$c1).
% 43.32/43.50 754 [hyper,731,11,116,unit_del,38,39] {-} apart_point_and_line($c3,$c2)|apart_point_and_line($c3,$c1).
% 43.32/43.50 2684 [hyper,96,754] {-} distinct_lines(parallel_through_point(A,$c3),$c1)|apart_point_and_line($c3,$c2).
% 43.32/43.50 14705 [hyper,2684,15] {-} apart_point_and_line($c3,$c2)|convergent_lines(parallel_through_point(A,$c3),$c1).
% 43.32/43.50 18875 [hyper,14705,16] {-} apart_point_and_line($c3,$c2).
% 43.32/43.50 19065 [hyper,18875,96] {-} distinct_lines(parallel_through_point(A,$c3),$c2).
% 43.32/43.50 19266 [hyper,19065,15] {-} convergent_lines(parallel_through_point(A,$c3),$c2).
% 43.32/43.50 19267 [binary,19266.1,16.1] {-} $F.
% 43.32/43.50
% 43.32/43.50 % SZS output end Refutation
% 43.32/43.50 ------------ end of proof -------------
% 43.32/43.50
% 43.32/43.50
% 43.32/43.50 Search stopped by max_proofs option.
% 43.32/43.50
% 43.32/43.50
% 43.32/43.50 Search stopped by max_proofs option.
% 43.32/43.50
% 43.32/43.50 ============ end of search ============
% 43.32/43.50
% 43.32/43.50 ----------- soft-scott stats ----------
% 43.32/43.50
% 43.32/43.50 true clauses given 117 (24.4%)
% 43.32/43.50 false clauses given 362
% 43.32/43.50
% 43.32/43.50 FALSE TRUE
% 43.32/43.50 5 8 3
% 43.32/43.50 6 5 0
% 43.32/43.50 7 12 4
% 43.32/43.50 8 46 152
% 43.32/43.50 9 181 247
% 43.32/43.50 10 514 273
% 43.32/43.50 11 1202 236
% 43.32/43.50 12 137 582
% 43.32/43.50 13 32 243
% 43.32/43.50 14 25 209
% 43.32/43.50 15 0 454
% 43.32/43.50 tot: 2162 2403 (52.6% true)
% 43.32/43.50
% 43.32/43.50
% 43.32/43.50 Model 66 [ 312 -121 1042 ] (0.00 seconds, 250000 Inserts)
% 43.32/43.50
% 43.32/43.50 That finishes the proof of the theorem.
% 43.32/43.50
% 43.32/43.50 Process 1207 finished Sat Jun 18 12:31:05 2022
%------------------------------------------------------------------------------