TSTP Solution File: GEO218+3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO218+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n017.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 06:19:19 EDT 2022
% Result : Theorem 9.11s 9.33s
% Output : Refutation 9.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO218+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n017.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 03:47:12 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 sandbox2 on n017.cluster.edu,
% 0.12/0.36 Sat Jun 18 03:47:12 2022
% 0.12/0.36 The command was "./sos". The process ID is 23642.
% 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 39 during input processing: 0 [] {-} convergent_lines(A,B)|unorthogonal_lines(A,B).
% 0.12/0.36
% 0.12/0.36 ======= end of input processing =======
% 0.12/0.40
% 0.12/0.40 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.40
% 0.12/0.40 Stopped by limit on number of solutions
% 0.12/0.40
% 0.12/0.40
% 0.12/0.40 -------------- Softie stats --------------
% 0.12/0.40
% 0.12/0.40 UPDATE_STOP: 300
% 0.12/0.40 SFINDER_TIME_LIMIT: 2
% 0.12/0.40 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.40 number of clauses in intial UL: 37
% 0.12/0.40 number of clauses initially in problem: 45
% 0.12/0.40 percentage of clauses intially in UL: 82
% 0.12/0.40 percentage of distinct symbols occuring in initial UL: 94
% 0.12/0.40 percent of all initial clauses that are short: 100
% 0.12/0.40 absolute distinct symbol count: 19
% 0.12/0.40 distinct predicate count: 12
% 0.12/0.40 distinct function count: 4
% 0.12/0.40 distinct constant count: 3
% 0.12/0.40
% 0.12/0.40 ---------- no more Softie stats ----------
% 0.12/0.40
% 0.12/0.40
% 0.12/0.40
% 0.12/0.40 Model 2 (0.00 seconds, 0 Inserts)
% 0.12/0.40
% 0.12/0.40 Stopped by limit on number of solutions
% 0.12/0.40
% 0.12/0.40 =========== start of search ===========
% 9.11/9.33
% 9.11/9.33 -------- PROOF --------
% 9.11/9.33 % SZS status Theorem
% 9.11/9.33 % SZS output start Refutation
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 3 [ 3 1 844 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Model 4 (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on number of solutions
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 5 [ 5 1 269 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 6 [ 1 0 1043 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 7 [ 13 0 451 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 8 [ 13 0 851 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 9 [ 13 1 435 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 10 [ 5 1 358 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 11 [ 13 1 389 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 12 [ 14 0 357 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 13 [ 15 1 329 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 14 [ 13 0 242 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 15 [ 5 1 168 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 16 [ 17 0 244 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 17 [ 3 0 662 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 18 [ 21 0 318 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 19 [ 20 1 433 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 20 [ 29 0 1281 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 21 [ 36 0 436 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 22 [ 11 1 819 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 23 [ 63 0 283 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 24 [ 47 1 463 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 25 [ 63 0 276 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 26 [ 62 1 460 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 27 [ 16 0 1215 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 28 [ 96 0 163 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 29 [ 20 1 239 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 30 [ 105 0 285 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 31 [ 91 1 761 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 32 [ 108 1 316 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 33 [ 104 0 322 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 34 [ 108 1 280 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 35 [ 106 1 357 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 36 [ 113 1 272 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 37 [ 93 0 727 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 38 [ 112 1 162 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 39 [ 48 1 1293 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 40 [ 46 1 169 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 41 [ 34 1 1037 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 42 [ 31 0 1294 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 Stopped by limit on insertions
% 9.11/9.33
% 9.11/9.33 Model 43 [ 124 1 691 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 ----> UNIT CONFLICT at 8.94 sec ----> 598 [binary,597.1,2.1] {-} $F.
% 9.11/9.33
% 9.11/9.33 Length of proof is 6. Level of proof is 4.
% 9.11/9.33
% 9.11/9.33 ---------------- PROOF ----------------
% 9.11/9.33 % SZS status Theorem
% 9.11/9.33 % SZS output start Refutation
% 9.11/9.33
% 9.11/9.33 1 [] {+} -distinct_points(A,A).
% 9.11/9.33 2 [] {+} -distinct_lines(A,A).
% 9.11/9.33 15 [] {+} -distinct_lines(A,B)|convergent_lines(A,B).
% 9.11/9.33 35 [] {+} -parallel_lines(A,B)| -convergent_lines(A,B).
% 9.11/9.33 38 [] {+} -orthogonal_lines($c2,$c1).
% 9.11/9.33 40 [] {+} equal_points(A,B)|distinct_points(A,B).
% 9.11/9.33 41 [] {+} equal_lines(A,B)|distinct_lines(A,B).
% 9.11/9.33 45 [] {+} parallel_lines($c3,$c2).
% 9.11/9.33 46 [] {+} orthogonal_lines($c3,$c1).
% 9.11/9.33 60 [para_from,40.1.1,38.1.2] {+} -orthogonal_lines($c2,A)|distinct_points($c1,A).
% 9.11/9.33 77 [para_from,41.1.1,46.1.1] {+} orthogonal_lines(A,$c1)|distinct_lines($c3,A).
% 9.11/9.33 78 [para_from,41.1.1,45.1.1] {+} parallel_lines(A,$c2)|distinct_lines($c3,A).
% 9.11/9.33 542 [hyper,77,60,unit_del,1] {+} distinct_lines($c3,$c2).
% 9.11/9.33 554 [hyper,542,15] {+} convergent_lines($c3,$c2).
% 9.11/9.33 597 [hyper,554,35,78] {-} distinct_lines($c3,$c3).
% 9.11/9.33 598 [binary,597.1,2.1] {-} $F.
% 9.11/9.33
% 9.11/9.33 % SZS output end Refutation
% 9.11/9.33 ------------ end of proof -------------
% 9.11/9.33
% 9.11/9.33
% 9.11/9.33 Search stopped by max_proofs option.
% 9.11/9.33
% 9.11/9.33
% 9.11/9.33 Search stopped by max_proofs option.
% 9.11/9.33
% 9.11/9.33 ============ end of search ============
% 9.11/9.33
% 9.11/9.33 ----------- soft-scott stats ----------
% 9.11/9.33
% 9.11/9.33 true clauses given 6 (11.5%)
% 9.11/9.33 false clauses given 46
% 9.11/9.33
% 9.11/9.33 FALSE TRUE
% 9.11/9.33 3 1 0
% 9.11/9.33 5 1 1
% 9.11/9.33 6 33 9
% 9.11/9.33 7 6 0
% 9.11/9.33 8 73 13
% 9.11/9.33 9 55 16
% 9.11/9.33 10 4 1
% 9.11/9.33 11 27 17
% 9.11/9.33 12 3 14
% 9.11/9.33 13 8 9
% 9.11/9.33 14 10 4
% 9.11/9.33 15 19 5
% 9.11/9.33 16 19 7
% 9.11/9.33 17 4 0
% 9.11/9.33 18 9 0
% 9.11/9.33 19 15 0
% 9.11/9.33 20 7 0
% 9.11/9.33 21 6 0
% 9.11/9.33 22 2 0
% 9.11/9.33 23 1 0
% 9.11/9.33 24 1 0
% 9.11/9.33 25 1 0
% 9.11/9.33 tot: 305 96 (23.9% true)
% 9.11/9.33
% 9.11/9.33
% 9.11/9.33 Model 43 [ 124 1 691 ] (0.00 seconds, 250000 Inserts)
% 9.11/9.33
% 9.11/9.33 That finishes the proof of the theorem.
% 9.11/9.33
% 9.11/9.33 Process 23642 finished Sat Jun 18 03:47:21 2022
%------------------------------------------------------------------------------