TSTP Solution File: GEO178+3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO178+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n018.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 06:18:45 EDT 2022
% Result : Theorem 16.45s 16.63s
% Output : Refutation 16.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO178+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 18:51:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 ----- Otter 3.2, August 2001 -----
% 0.12/0.35 The process was started by sandbox2 on n018.cluster.edu,
% 0.12/0.35 Fri Jun 17 18:51:32 2022
% 0.12/0.35 The command was "./sos". The process ID is 414.
% 0.12/0.35
% 0.12/0.35 set(prolog_style_variables).
% 0.12/0.35 set(auto).
% 0.12/0.35 dependent: set(auto1).
% 0.12/0.35 dependent: set(process_input).
% 0.12/0.35 dependent: clear(print_kept).
% 0.12/0.35 dependent: clear(print_new_demod).
% 0.12/0.35 dependent: clear(print_back_demod).
% 0.12/0.35 dependent: clear(print_back_sub).
% 0.12/0.35 dependent: set(control_memory).
% 0.12/0.35 dependent: assign(max_mem, 12000).
% 0.12/0.35 dependent: assign(pick_given_ratio, 4).
% 0.12/0.35 dependent: assign(stats_level, 1).
% 0.12/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35 dependent: assign(sos_limit, 5000).
% 0.12/0.35 dependent: assign(max_weight, 60).
% 0.12/0.35 clear(print_given).
% 0.12/0.35
% 0.12/0.35 formula_list(usable).
% 0.12/0.35
% 0.12/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.12/0.35
% 0.12/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.35 clauses in usable.
% 0.12/0.35
% 0.12/0.35 dependent: set(knuth_bendix).
% 0.12/0.35 dependent: set(para_from).
% 0.12/0.35 dependent: set(para_into).
% 0.12/0.35 dependent: clear(para_from_right).
% 0.12/0.35 dependent: clear(para_into_right).
% 0.12/0.35 dependent: set(para_from_vars).
% 0.12/0.35 dependent: set(eq_units_both_ways).
% 0.12/0.35 dependent: set(dynamic_demod_all).
% 0.12/0.35 dependent: set(dynamic_demod).
% 0.12/0.35 dependent: set(order_eq).
% 0.12/0.35 dependent: set(back_demod).
% 0.12/0.35 dependent: set(lrpo).
% 0.12/0.35 dependent: set(hyper_res).
% 0.12/0.35 dependent: set(unit_deletion).
% 0.12/0.35 dependent: set(factor).
% 0.12/0.35
% 0.12/0.35 ------------> process usable:
% 0.12/0.35 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).
% 0.12/0.35 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).
% 0.12/0.35 28 back subsumes 27.
% 0.12/0.35
% 0.12/0.35 ------------> process sos:
% 0.12/0.35 Following clause subsumed by 39 during input processing: 0 [] {-} convergent_lines(A,B)|unorthogonal_lines(A,B).
% 0.12/0.35
% 0.12/0.35 ======= end of input processing =======
% 0.12/0.39
% 0.12/0.39 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.39
% 0.12/0.39 Stopped by limit on number of solutions
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39 -------------- Softie stats --------------
% 0.12/0.39
% 0.12/0.39 UPDATE_STOP: 300
% 0.12/0.39 SFINDER_TIME_LIMIT: 2
% 0.12/0.39 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.39 number of clauses in intial UL: 37
% 0.12/0.39 number of clauses initially in problem: 45
% 0.12/0.39 percentage of clauses intially in UL: 82
% 0.12/0.39 percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.39 percent of all initial clauses that are short: 100
% 0.12/0.39 absolute distinct symbol count: 19
% 0.12/0.39 distinct predicate count: 12
% 0.12/0.39 distinct function count: 4
% 0.12/0.39 distinct constant count: 3
% 0.12/0.39
% 0.12/0.39 ---------- no more Softie stats ----------
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39 Model 2 (0.00 seconds, 0 Inserts)
% 0.12/0.39
% 0.12/0.39 Stopped by limit on number of solutions
% 0.12/0.39
% 0.12/0.39 =========== start of search ===========
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 3 [ 3 1 303 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 4 [ 1 0 762 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 5 [ 12 1 723 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 6 [ 12 1 629 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 7 [ 12 0 762 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 8 [ 1 0 285 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 9 [ 5 1 220 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 10 [ 12 1 295 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 11 [ 17 0 153 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 12 [ 14 1 316 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 13 [ 6 1 151 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 14 [ 15 0 370 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 15 [ 9 1 619 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 16 [ 21 0 157 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 17 [ 17 1 919 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 18 [ 40 0 532 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 19 [ 46 0 400 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 20 [ 65 1 896 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 21 [ 114 0 297 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 22 [ 67 1 318 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 23 [ 67 1 422 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 24 [ 99 0 295 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 25 [ 61 0 537 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 26 [ 61 1 3651 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 27 [ 125 1 566 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 28 [ 73 1 751 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 29 [ 153 0 570 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 30 [ 83 0 1434 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 31 [ 74 1 2602 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 32 [ 110 1 855 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 33 [ 160 1 478 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 34 [ 233 1 575 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 35 [ 137 1 916 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 36 [ 199 0 670 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 37 [ 156 1 2405 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 38 [ 152 1 152 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 39 [ 136 1 622 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 40 [ 222 8 30866 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 41 [ 194 0 249 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 42 [ 225 0 833 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 43 [ 227 1 1760 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 44 [ 233 0 1000 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 45 [ 331 0 441 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 46 [ 266 2 3168 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 47 [ 393 1 432 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 Stopped by limit on insertions
% 16.45/16.63
% 16.45/16.63 Model 48 [ 239 1 1178 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 ----> UNIT CONFLICT at 16
% 16.45/16.63 -- HEY sandbox2, WE HAVE A PROOF!! --
% 16.45/16.63 .24 sec ----> 3293 [binary,3292.1,16.1] {-} $F.
% 16.45/16.63
% 16.45/16.63 Length of proof is 3. Level of proof is 3.
% 16.45/16.63
% 16.45/16.63 ---------------- PROOF ----------------
% 16.45/16.63 % SZS status Theorem
% 16.45/16.63 % SZS output start Refutation
% 16.45/16.63
% 16.45/16.63 15 [] {+} -distinct_lines(A,B)|convergent_lines(A,B).
% 16.45/16.63 16 [] {+} -convergent_lines(parallel_through_point(A,B),A).
% 16.45/16.63 17 [] {+} -apart_point_and_line(A,parallel_through_point(B,A)).
% 16.45/16.63 41 [] {+} equal_lines(A,B)|distinct_lines(A,B).
% 16.45/16.63 46 [] {-} apart_point_and_line($c1,line_connecting($c3,$c2)).
% 16.45/16.63 89 [para_from,41.1.1,17.1.2] {+} -apart_point_and_line(A,B)|distinct_lines(parallel_through_point(C,A),B).
% 16.45/16.63 3288 [hyper,89,46] {-} distinct_lines(parallel_through_point(A,$c1),line_connecting($c3,$c2)).
% 16.45/16.63 3292 [hyper,3288,15] {-} convergent_lines(parallel_through_point(A,$c1),line_connecting($c3,$c2)).
% 16.45/16.63 3293 [binary,3292.1,16.1] {-} $F.
% 16.45/16.63
% 16.45/16.63 % SZS output end Refutation
% 16.45/16.63 ------------ end of proof -------------
% 16.45/16.63
% 16.45/16.63
% 16.45/16.63 Search stopped by max_proofs option.
% 16.45/16.63
% 16.45/16.63
% 16.45/16.63 Search stopped by max_proofs option.
% 16.45/16.63
% 16.45/16.63 ============ end of search ============
% 16.45/16.63
% 16.45/16.63 ----------- soft-scott stats ----------
% 16.45/16.63
% 16.45/16.63 true clauses given 35 (24.6%)
% 16.45/16.63 false clauses given 107
% 16.45/16.63
% 16.45/16.63 FALSE TRUE
% 16.45/16.63 5 0 2
% 16.45/16.63 8 56 61
% 16.45/16.63 9 81 79
% 16.45/16.63 10 190 93
% 16.45/16.63 11 253 109
% 16.45/16.63 12 60 106
% 16.45/16.63 13 275 148
% 16.45/16.63 14 6 48
% 16.45/16.63 15 29 30
% 16.45/16.63 16 10 34
% 16.45/16.63 17 25 57
% 16.45/16.63 18 99 10
% 16.45/16.63 19 102 34
% 16.45/16.63 20 156 2
% 16.45/16.63 21 62 8
% 16.45/16.63 22 188 0
% 16.45/16.63 23 153 0
% 16.45/16.63 24 122 0
% 16.45/16.63 25 68 3
% 16.45/16.63 26 42 0
% 16.45/16.63 27 63 1
% 16.45/16.63 28 17 0
% 16.45/16.63 29 8 1
% 16.45/16.63 32 1 0
% 16.45/16.63 tot: 2066 826 (28.6% true)
% 16.45/16.63
% 16.45/16.63
% 16.45/16.63 Model 48 [ 239 1 1178 ] (0.00 seconds, 250000 Inserts)
% 16.45/16.63
% 16.45/16.63 That finishes the proof of the theorem.
% 16.45/16.63
% 16.45/16.63 Process 414 finished Fri Jun 17 18:51:48 2022
%------------------------------------------------------------------------------