TSTP Solution File: GEO170+3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO170+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n029.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 06:18:39 EDT 2022
% Result : Theorem 59.69s 59.92s
% Output : Refutation 59.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO170+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : sos-script %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 15:55:14 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.38 ----- Otter 3.2, August 2001 -----
% 0.14/0.38 The process was started by sandbox2 on n029.cluster.edu,
% 0.14/0.38 Sat Jun 18 15:55:14 2022
% 0.14/0.38 The command was "./sos". The process ID is 328.
% 0.14/0.38
% 0.14/0.38 set(prolog_style_variables).
% 0.14/0.38 set(auto).
% 0.14/0.38 dependent: set(auto1).
% 0.14/0.38 dependent: set(process_input).
% 0.14/0.38 dependent: clear(print_kept).
% 0.14/0.38 dependent: clear(print_new_demod).
% 0.14/0.38 dependent: clear(print_back_demod).
% 0.14/0.38 dependent: clear(print_back_sub).
% 0.14/0.38 dependent: set(control_memory).
% 0.14/0.38 dependent: assign(max_mem, 12000).
% 0.14/0.38 dependent: assign(pick_given_ratio, 4).
% 0.14/0.38 dependent: assign(stats_level, 1).
% 0.14/0.38 dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.38 dependent: assign(sos_limit, 5000).
% 0.14/0.38 dependent: assign(max_weight, 60).
% 0.14/0.38 clear(print_given).
% 0.14/0.38
% 0.14/0.38 formula_list(usable).
% 0.14/0.38
% 0.14/0.38 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.14/0.38
% 0.14/0.38 This ia a non-Horn set with equality. The strategy will be
% 0.14/0.38 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.14/0.38 unit deletion, with positive clauses in sos and nonpositive
% 0.14/0.38 clauses in usable.
% 0.14/0.38
% 0.14/0.38 dependent: set(knuth_bendix).
% 0.14/0.38 dependent: set(para_from).
% 0.14/0.38 dependent: set(para_into).
% 0.14/0.38 dependent: clear(para_from_right).
% 0.14/0.38 dependent: clear(para_into_right).
% 0.14/0.38 dependent: set(para_from_vars).
% 0.14/0.38 dependent: set(eq_units_both_ways).
% 0.14/0.38 dependent: set(dynamic_demod_all).
% 0.14/0.38 dependent: set(dynamic_demod).
% 0.14/0.38 dependent: set(order_eq).
% 0.14/0.38 dependent: set(back_demod).
% 0.14/0.38 dependent: set(lrpo).
% 0.14/0.38 dependent: set(hyper_res).
% 0.14/0.38 dependent: set(unit_deletion).
% 0.14/0.38 dependent: set(factor).
% 0.14/0.38
% 0.14/0.38 ------------> process usable:
% 0.14/0.38 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).
% 0.14/0.38 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).
% 0.14/0.38 28 back subsumes 27.
% 0.14/0.38
% 0.14/0.38 ------------> process sos:
% 0.14/0.38 Following clause subsumed by 40 during input processing: 0 [] {-} convergent_lines(A,B)|unorthogonal_lines(A,B).
% 0.14/0.38
% 0.14/0.38 ======= end of input processing =======
% 0.20/0.42
% 0.20/0.42 Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.42
% 0.20/0.42 Stopped by limit on number of solutions
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 -------------- Softie stats --------------
% 0.20/0.42
% 0.20/0.42 UPDATE_STOP: 300
% 0.20/0.42 SFINDER_TIME_LIMIT: 2
% 0.20/0.42 SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.42 number of clauses in intial UL: 37
% 0.20/0.42 number of clauses initially in problem: 46
% 0.20/0.42 percentage of clauses intially in UL: 80
% 0.20/0.42 percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.42 percent of all initial clauses that are short: 100
% 0.20/0.42 absolute distinct symbol count: 19
% 0.20/0.42 distinct predicate count: 12
% 0.20/0.42 distinct function count: 4
% 0.20/0.42 distinct constant count: 3
% 0.20/0.42
% 0.20/0.42 ---------- no more Softie stats ----------
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.42
% 0.20/0.42 Stopped by limit on number of solutions
% 0.20/0.42
% 0.20/0.42 =========== start of search ===========
% 12.99/13.26
% 12.99/13.26
% 12.99/13.26 Changing weight limit from 60 to 27.
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Model 3 [ 3 1 310 ] (0.00 seconds, 250000 Inserts)
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Model 4 [ 1 1 764 ] (0.00 seconds, 250000 Inserts)
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Model 5 [ 12 0 567 ] (0.00 seconds, 250000 Inserts)
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Model 6 [ 12 0 337 ] (0.00 seconds, 250000 Inserts)
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Model 7 [ 2 1 688 ] (0.00 seconds, 250000 Inserts)
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Model 8 [ 20 5 66959 ] (0.00 seconds, 250000 Inserts)
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Model 9 [ 15 1 676 ] (0.00 seconds, 250000 Inserts)
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Stopped by limit on insertions
% 12.99/13.26
% 12.99/13.26 Resetting weight limit to 27 after 195 givens.
% 12.99/13.26
% 32.28/32.49
% 32.28/32.49
% 32.28/32.49 Changing weight limit from 27 to 25.
% 32.28/32.49
% 32.28/32.49 Stopped by limit on insertions
% 32.28/32.49
% 32.28/32.49 Stopped by limit on insertions
% 32.28/32.49
% 32.28/32.49 Stopped by limit on insertions
% 32.28/32.49
% 32.28/32.49 Stopped by limit on insertions
% 32.28/32.49
% 32.28/32.49 Stopped by limit on insertions
% 32.28/32.49
% 32.28/32.49 Stopped by limit on insertions
% 32.28/32.49
% 32.28/32.49 Stopped by limit on insertions
% 32.28/32.49
% 32.28/32.49 Resetting weight limit to 25 after 350 givens.
% 32.28/32.49
% 32.53/32.76
% 32.53/32.76
% 32.53/32.76 Changing weight limit from 25 to 24.
% 32.53/32.76
% 32.53/32.76 Resetting weight limit to 24 after 355 givens.
% 32.53/32.76
% 34.81/35.03
% 34.81/35.03
% 34.81/35.03 Changing weight limit from 24 to 22.
% 34.81/35.03
% 34.81/35.03 Stopped by limit on insertions
% 34.81/35.03
% 34.81/35.03 Stopped by limit on insertions
% 34.81/35.03
% 34.81/35.03 Resetting weight limit to 22 after 375 givens.
% 34.81/35.03
% 35.36/35.61
% 35.36/35.61
% 35.36/35.61 Changing weight limit from 22 to 21.
% 35.36/35.61
% 35.36/35.61 Stopped by limit on insertions
% 35.36/35.61
% 35.36/35.61 Resetting weight limit to 21 after 380 givens.
% 35.36/35.61
% 35.58/35.78
% 35.58/35.78
% 35.58/35.78 Changing weight limit from 21 to 20.
% 35.58/35.78
% 35.58/35.78 Resetting weight limit to 20 after 390 givens.
% 35.58/35.78
% 38.27/38.47
% 38.27/38.47
% 38.27/38.47 Changing weight limit from 20 to 19.
% 38.27/38.47
% 38.27/38.47 Stopped by limit on insertions
% 38.27/38.47
% 38.27/38.47 Stopped by limit on insertions
% 38.27/38.47
% 38.27/38.47 Stopped by limit on insertions
% 38.27/38.47
% 38.27/38.47 Resetting weight limit to 19 after 435 givens.
% 38.27/38.47
% 39.50/39.73
% 39.50/39.73
% 39.50/39.73 Changing weight limit from 19 to 18.
% 39.50/39.73
% 39.50/39.73 Modelling stopped after 300 given clauses and 0.00 seconds
% 39.50/39.73
% 39.50/39.73
% 39.50/39.73 Resetting weight limit to 18 after 500 givens.
% 39.50/39.73
% 41.61/41.80
% 41.61/41.80
% 41.61/41.80 Changing weight limit from 18 to 17.
% 41.61/41.80
% 41.61/41.80 Resetting weight limit to 17 after 630 givens.
% 41.61/41.80
% 43.63/43.88
% 43.63/43.88
% 43.63/43.88 Changing weight limit from 17 to 16.
% 43.63/43.88
% 43.63/43.88 Resetting weight limit to 16 after 870 givens.
% 43.63/43.88
% 47.81/48.04
% 47.81/48.04
% 47.81/48.04 Changing weight limit from 16 to 15.
% 47.81/48.04
% 47.81/48.04 Resetting weight limit to 15 after 1170 givens.
% 47.81/48.04
% 49.44/49.64
% 49.44/49.64
% 49.44/49.64 Changing weight limit from 15 to 14.
% 49.44/49.64
% 49.44/49.64 Resetting weight limit to 14 after 1270 givens.
% 49.44/49.64
% 55.92/56.13
% 55.92/56.13
% 55.92/56.13 Changing weight limit from 14 to 13.
% 55.92/56.13
% 55.92/56.13 Resetting weight limit to 13 after 1660 givens.
% 55.92/56.13
% 59.69/59.92
% 59.69/59.92 -- HEY sandbox2, WE HAVE A PROOF!! --
% 59.69/59.92
% 59.69/59.92 -----> EMPTY CLAUSE at 59.16 sec ----> 37865 [hyper,35352,36,671,unit_del,1,1] {-} $F.
% 59.69/59.92
% 59.69/59.92 Length of proof is 22. Level of proof is 10.
% 59.69/59.92
% 59.69/59.92 ---------------- PROOF ----------------
% 59.69/59.92 % SZS status Theorem
% 59.69/59.92 % SZS output start Refutation
% 59.69/59.92
% 59.69/59.92 1 [] {+} -distinct_points(A,A).
% 59.69/59.92 2 [] {+} -distinct_lines(A,A).
% 59.69/59.92 7 [] {+} -distinct_points(A,B)| -apart_point_and_line(A,line_connecting(A,B)).
% 59.69/59.92 8 [] {+} -distinct_points(A,B)| -apart_point_and_line(B,line_connecting(A,B)).
% 59.69/59.92 11 [] {+} -distinct_points(A,B)| -distinct_lines(C,D)|apart_point_and_line(A,C)|apart_point_and_line(A,D)|apart_point_and_line(B,C)|apart_point_and_line(B,D).
% 59.69/59.92 15 [] {+} -distinct_lines(A,B)|convergent_lines(A,B).
% 59.69/59.92 16 [] {+} -convergent_lines(parallel_through_point(A,B),A).
% 59.69/59.92 36 [] {+} -incident_point_and_line(A,B)| -apart_point_and_line(A,B).
% 59.69/59.92 38 [] {-} -equal_lines($c1,line_connecting($c3,$c2)).
% 59.69/59.92 39 [copy,38,flip.1] {+} -equal_lines(line_connecting($c3,$c2),$c1).
% 59.69/59.92 41 [] {+} equal_points(A,B)|distinct_points(A,B).
% 59.69/59.92 42 [] {-} equal_lines(A,B)|distinct_lines(A,B).
% 59.69/59.92 46 [] {+} distinct_points($c3,$c2).
% 59.69/59.92 47 [] {+} incident_point_and_line($c3,$c1).
% 59.69/59.92 48 [] {+} incident_point_and_line($c2,$c1).
% 59.69/59.92 64 [para_from,41.1.1,16.1.1] {-} -convergent_lines(A,B)|distinct_points(parallel_through_point(B,C),A).
% 59.69/59.92 73 [hyper,42,39] {-} distinct_lines(line_connecting($c3,$c2),$c1).
% 59.69/59.92 75 [para_from,42.1.1,46.1.2] {-} distinct_points($c3,A)|distinct_lines($c2,A).
% 59.69/59.92 77 [para_from,42.1.1,47.1.1] {+} incident_point_and_line(A,$c1)|distinct_lines($c3,A).
% 59.69/59.92 78 [para_from,42.1.1,46.1.1] {-} distinct_points(A,$c2)|distinct_lines($c3,A).
% 59.69/59.92 92 [para_from,42.1.1,8.2.2] {+} -distinct_points(A,B)| -apart_point_and_line(B,C)|distinct_lines(line_connecting(A,B),C).
% 59.69/59.92 93 [para_from,42.1.1,7.2.2] {+} -distinct_points(A,B)| -apart_point_and_line(A,C)|distinct_lines(line_connecting(A,B),C).
% 59.69/59.92 96 [hyper,73,11,46] {-} apart_point_and_line($c3,line_connecting($c3,$c2))|apart_point_and_line($c3,$c1)|apart_point_and_line($c2,line_connecting($c3,$c2))|apart_point_and_line($c2,$c1).
% 59.69/59.92 116 [para_into,48.1.1,41.1.1] {+} incident_point_and_line(A,$c1)|distinct_points($c2,A).
% 59.69/59.92 137 [hyper,75,1] {+} distinct_lines($c2,$c3).
% 59.69/59.92 150 [hyper,137,15] {+} convergent_lines($c2,$c3).
% 59.69/59.92 393 [hyper,64,150] {-} distinct_points(parallel_through_point($c3,A),$c2).
% 59.69/59.92 415 [para_into,393.1.1,42.1.1] {-} distinct_points(A,$c2)|distinct_lines(parallel_through_point($c3,B),A).
% 59.69/59.92 460 [para_into,77.1.2,42.1.1] {+} incident_point_and_line(A,B)|distinct_lines($c3,A)|distinct_lines($c1,B).
% 59.69/59.92 671 [para_into,116.1.2,41.1.1] {+} incident_point_and_line(A,B)|distinct_points($c2,A)|distinct_points($c1,B).
% 59.69/59.92 953 [hyper,415,1] {+} distinct_lines(parallel_through_point($c3,A),$c2).
% 59.69/59.92 1165 [hyper,953,15] {+} convergent_lines(parallel_through_point($c3,A),$c2).
% 59.69/59.92 1378 [para_into,1165.1.1.1,41.1.1] {-} convergent_lines(parallel_through_point(A,B),$c2)|distinct_points($c3,A).
% 59.69/59.92 2561 [hyper,96,93,78,unit_del,2,2] {-} apart_point_and_line($c3,$c1)|apart_point_and_line($c2,line_connecting($c3,$c2))|apart_point_and_line($c2,$c1).
% 59.69/59.92 34881 [hyper,2561,92,1378,unit_del,2,16] {-} apart_point_and_line($c3,$c1)|apart_point_and_line($c2,$c1).
% 59.69/59.92 35352 [hyper,34881,36,460,unit_del,2,2] {-} apart_point_and_line($c2,$c1).
% 59.69/59.92 37865 [hyper,35352,36,671,unit_del,1,1] {-} $F.
% 59.69/59.92
% 59.69/59.92 % SZS output end Refutation
% 59.69/59.92 ------------ end of proof -------------
% 59.69/59.92
% 59.69/59.92
% 59.69/59.92 Search stopped by max_proofs option.
% 59.69/59.92
% 59.69/59.92
% 59.69/59.92 Search stopped by max_proofs option.
% 59.69/59.92
% 59.69/59.92 ============ end of search ============
% 59.69/59.92
% 59.69/59.92 ----------- soft-scott stats ----------
% 59.69/59.92
% 59.69/59.92 true clauses given 539 (28.2%)
% 59.69/59.92 false clauses given 1371
% 59.69/59.92
% 59.69/59.92 FALSE TRUE
% 59.69/59.92 3 1 0
% 59.69/59.92 9 0 74
% 59.69/59.92 10 0 465
% 59.69/59.92 11 1370 1094
% 59.69/59.92 12 1129 631
% 59.69/59.92 13 0 236
% 59.69/59.92 tot: 2500 2500 (50.0% true)
% 59.69/59.92
% 59.69/59.92
% 59.69/59.92 Model 9 [ 15 -3477 676 ] (0.00 seconds, 250000 Inserts)
% 59.69/59.92
% 59.69/59.92 That finishes the proof of the theorem.
% 59.69/59.92
% 59.69/59.92 Process 328 finished Sat Jun 18 15:56:13 2022
%------------------------------------------------------------------------------