TSTP Solution File: GEO179+3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO179+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n027.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 06:18:46 EDT 2022
% Result : Theorem 14.39s 14.56s
% Output : Refutation 14.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO179+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % Command : sos-script %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jun 17 19:35:52 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.38 ----- Otter 3.2, August 2001 -----
% 0.21/0.38 The process was started by sandbox on n027.cluster.edu,
% 0.21/0.38 Fri Jun 17 19:35:52 2022
% 0.21/0.38 The command was "./sos". The process ID is 25701.
% 0.21/0.38
% 0.21/0.38 set(prolog_style_variables).
% 0.21/0.38 set(auto).
% 0.21/0.38 dependent: set(auto1).
% 0.21/0.38 dependent: set(process_input).
% 0.21/0.38 dependent: clear(print_kept).
% 0.21/0.38 dependent: clear(print_new_demod).
% 0.21/0.38 dependent: clear(print_back_demod).
% 0.21/0.38 dependent: clear(print_back_sub).
% 0.21/0.38 dependent: set(control_memory).
% 0.21/0.38 dependent: assign(max_mem, 12000).
% 0.21/0.38 dependent: assign(pick_given_ratio, 4).
% 0.21/0.38 dependent: assign(stats_level, 1).
% 0.21/0.38 dependent: assign(pick_semantic_ratio, 3).
% 0.21/0.38 dependent: assign(sos_limit, 5000).
% 0.21/0.38 dependent: assign(max_weight, 60).
% 0.21/0.38 clear(print_given).
% 0.21/0.38
% 0.21/0.38 formula_list(usable).
% 0.21/0.38
% 0.21/0.38 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.21/0.38
% 0.21/0.38 This ia a non-Horn set with equality. The strategy will be
% 0.21/0.38 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.21/0.38 unit deletion, with positive clauses in sos and nonpositive
% 0.21/0.38 clauses in usable.
% 0.21/0.38
% 0.21/0.38 dependent: set(knuth_bendix).
% 0.21/0.38 dependent: set(para_from).
% 0.21/0.38 dependent: set(para_into).
% 0.21/0.38 dependent: clear(para_from_right).
% 0.21/0.38 dependent: clear(para_into_right).
% 0.21/0.38 dependent: set(para_from_vars).
% 0.21/0.38 dependent: set(eq_units_both_ways).
% 0.21/0.38 dependent: set(dynamic_demod_all).
% 0.21/0.38 dependent: set(dynamic_demod).
% 0.21/0.38 dependent: set(order_eq).
% 0.21/0.38 dependent: set(back_demod).
% 0.21/0.38 dependent: set(lrpo).
% 0.21/0.38 dependent: set(hyper_res).
% 0.21/0.38 dependent: set(unit_deletion).
% 0.21/0.38 dependent: set(factor).
% 0.21/0.38
% 0.21/0.38 ------------> process usable:
% 0.21/0.38 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).
% 0.21/0.38 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).
% 0.21/0.38 28 back subsumes 27.
% 0.21/0.38
% 0.21/0.38 ------------> process sos:
% 0.21/0.38 Following clause subsumed by 39 during input processing: 0 [] {-} convergent_lines(A,B)|unorthogonal_lines(A,B).
% 0.21/0.38
% 0.21/0.38 ======= end of input processing =======
% 0.21/0.42
% 0.21/0.42 Model 1 (0.00 seconds, 0 Inserts)
% 0.21/0.42
% 0.21/0.42 Stopped by limit on number of solutions
% 0.21/0.42
% 0.21/0.42
% 0.21/0.42 -------------- Softie stats --------------
% 0.21/0.42
% 0.21/0.42 UPDATE_STOP: 300
% 0.21/0.42 SFINDER_TIME_LIMIT: 2
% 0.21/0.42 SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.42 number of clauses in intial UL: 37
% 0.21/0.42 number of clauses initially in problem: 45
% 0.21/0.42 percentage of clauses intially in UL: 82
% 0.21/0.42 percentage of distinct symbols occuring in initial UL: 100
% 0.21/0.42 percent of all initial clauses that are short: 100
% 0.21/0.42 absolute distinct symbol count: 19
% 0.21/0.42 distinct predicate count: 12
% 0.21/0.42 distinct function count: 4
% 0.21/0.42 distinct constant count: 3
% 0.21/0.42
% 0.21/0.42 ---------- no more Softie stats ----------
% 0.21/0.42
% 0.21/0.42
% 0.21/0.42
% 0.21/0.42 Model 2 (0.00 seconds, 0 Inserts)
% 0.21/0.42
% 0.21/0.42 Stopped by limit on number of solutions
% 0.21/0.42
% 0.21/0.42 =========== start of search ===========
% 11.57/11.76
% 11.57/11.76
% 11.57/11.76 Changing weight limit from 60 to 29.
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 3 [ 3 0 308 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 4 [ 1 1 151 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 5 [ 1 0 571 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 6 [ 12 0 904 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 7 [ 12 0 388 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 8 [ 12 0 616 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 9 [ 13 0 184 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 10 [ 12 1 566 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 11 [ 18 0 651 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 12 [ 14 0 462 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 13 [ 18 0 606 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 14 [ 15 1 749 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 15 [ 9 0 192 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 16 [ 21 1 350 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 17 [ 30 0 287 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 18 [ 17 0 912 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 19 [ 79 0 674 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 20 [ 73 1 756 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 21 [ 95 0 915 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 22 [ 85 0 231 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 23 [ 73 1 586 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 24 [ 79 1 521 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 25 [ 66 0 636 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 26 [ 154 1 180 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 27 [ 82 0 249 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 28 [ 131 1 323 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 29 [ 137 1 692 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 30 [ 83 1 656 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 31 [ 140 0 970 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 32 [ 110 0 153 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 33 [ 139 1 335 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 34 [ 222 0 684 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 35 [ 137 1 1148 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 36 [ 186 0 783 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 37 [ 152 1 226 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 38 [ 136 1 714 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 39 [ 194 1 153 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 40 [ 139 0 677 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 41 [ 203 0 585 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 42 [ 157 1 526 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 43 [ 242 0 735 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 44 [ 233 0 638 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 45 [ 245 1 782 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 46 [ 248 1 442 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Stopped by limit on insertions
% 11.57/11.76
% 11.57/11.76 Model 47 [ 248 1 769 ] (0.00 seconds, 250000 Inserts)
% 11.57/11.76
% 11.57/11.76 Resetting weight limit to 29 after 185 givens.
% 11.57/11.76
% 12.78/12.99
% 12.78/12.99
% 12.78/12.99 Changing weight limit from 29 to 28.
% 12.78/12.99
% 12.78/12.99 Stopped by limit on insertions
% 12.78/12.99
% 12.78/12.99 Model 48 [ 361 0 157 ] (0.00 seconds, 250000 Inserts)
% 12.78/12.99
% 12.78/12.99 Resetting weight limit to 28 after 205 givens.
% 12.78/12.99
% 14.39/14.56
% 14.39/14.56 -- HEY sandbox, WE HAVE A PROOF!! --
% 14.39/14.56
% 14.39/14.56 Stopped by limit on insertions
% 14.39/14.56
% 14.39/14.56 Model 49 [ 308 1 1541 ] (0.00 seconds, 250000 Inserts)
% 14.39/14.56
% 14.39/14.56 Stopped by limit on insertions
% 14.39/14.56
% 14.39/14.56 Model 50 [ 278 1 779 ] (0.00 seconds, 250000 Inserts)
% 14.39/14.56
% 14.39/14.56 ----> UNIT CONFLICT at 14.15 sec ----> 4902 [binary,4901.1,16.1] {-} $F.
% 14.39/14.56
% 14.39/14.56 Length of proof is 3. Level of proof is 3.
% 14.39/14.56
% 14.39/14.56 ---------------- PROOF ----------------
% 14.39/14.56 % SZS status Theorem
% 14.39/14.56 % SZS output start Refutation
% 14.39/14.56
% 14.39/14.56 15 [] {+} -distinct_lines(A,B)|convergent_lines(A,B).
% 14.39/14.56 16 [] {+} -convergent_lines(parallel_through_point(A,B),A).
% 14.39/14.56 17 [] {+} -apart_point_and_line(A,parallel_through_point(B,A)).
% 14.39/14.56 41 [] {+} equal_lines(A,B)|distinct_lines(A,B).
% 14.39/14.56 46 [] {-} apart_point_and_line($c1,line_connecting($c3,$c2)).
% 14.39/14.56 107 [para_from,41.1.1,17.1.2] {+} -apart_point_and_line(A,B)|distinct_lines(parallel_through_point(C,A),B).
% 14.39/14.56 4897 [hyper,107,46] {-} distinct_lines(parallel_through_point(A,$c1),line_connecting($c3,$c2)).
% 14.39/14.56 4901 [hyper,4897,15] {-} convergent_lines(parallel_through_point(A,$c1),line_connecting($c3,$c2)).
% 14.39/14.56 4902 [binary,4901.1,16.1] {-} $F.
% 14.39/14.56
% 14.39/14.56 % SZS output end Refutation
% 14.39/14.56 ------------ end of proof -------------
% 14.39/14.56
% 14.39/14.56
% 14.39/14.56 Search stopped by max_proofs option.
% 14.39/14.56
% 14.39/14.56
% 14.39/14.56 Search stopped by max_proofs option.
% 14.39/14.56
% 14.39/14.56 ============ end of search ============
% 14.39/14.56
% 14.39/14.56 ----------- soft-scott stats ----------
% 14.39/14.56
% 14.39/14.56 true clauses given 52 (24.3%)
% 14.39/14.56 false clauses given 162
% 14.39/14.56
% 14.39/14.56 FALSE TRUE
% 14.39/14.56 8 0 51
% 14.39/14.56 9 73 77
% 14.39/14.56 10 149 52
% 14.39/14.56 11 391 48
% 14.39/14.56 12 87 60
% 14.39/14.56 13 38 53
% 14.39/14.56 14 18 73
% 14.39/14.56 15 62 85
% 14.39/14.56 16 30 55
% 14.39/14.56 17 84 162
% 14.39/14.56 18 139 25
% 14.39/14.56 19 146 90
% 14.39/14.56 20 330 285
% 14.39/14.56 21 260 52
% 14.39/14.56 22 411 0
% 14.39/14.56 23 258 0
% 14.39/14.56 24 32 0
% 14.39/14.56 25 60 0
% 14.39/14.56 26 45 0
% 14.39/14.56 27 34 0
% 14.39/14.56 28 12 0
% 14.39/14.56 tot: 2659 1168 (30.5% true)
% 14.39/14.56
% 14.39/14.56
% 14.39/14.56 Model 50 [ 278 1 779 ] (0.00 seconds, 250000 Inserts)
% 14.39/14.56
% 14.39/14.56 That finishes the proof of the theorem.
% 14.39/14.56
% 14.39/14.56 Process 25701 finished Fri Jun 17 19:36:06 2022
%------------------------------------------------------------------------------