TSTP Solution File: GEO198+2 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO198+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n015.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 06:19:02 EDT 2022
% Result : Theorem 12.39s 12.56s
% Output : Refutation 12.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO198+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : sos-script %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 07:20:58 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.36 ----- Otter 3.2, August 2001 -----
% 0.14/0.36 The process was started by sandbox2 on n015.cluster.edu,
% 0.14/0.36 Sat Jun 18 07:20:58 2022
% 0.14/0.36 The command was "./sos". The process ID is 18864.
% 0.14/0.36
% 0.14/0.36 set(prolog_style_variables).
% 0.14/0.36 set(auto).
% 0.14/0.36 dependent: set(auto1).
% 0.14/0.36 dependent: set(process_input).
% 0.14/0.36 dependent: clear(print_kept).
% 0.14/0.36 dependent: clear(print_new_demod).
% 0.14/0.36 dependent: clear(print_back_demod).
% 0.14/0.36 dependent: clear(print_back_sub).
% 0.14/0.36 dependent: set(control_memory).
% 0.14/0.36 dependent: assign(max_mem, 12000).
% 0.14/0.36 dependent: assign(pick_given_ratio, 4).
% 0.14/0.36 dependent: assign(stats_level, 1).
% 0.14/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.36 dependent: assign(sos_limit, 5000).
% 0.14/0.36 dependent: assign(max_weight, 60).
% 0.14/0.36 clear(print_given).
% 0.14/0.36
% 0.14/0.36 formula_list(usable).
% 0.14/0.36
% 0.14/0.36 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 0.14/0.36
% 0.14/0.36 This is a non-Horn set without equality. The strategy
% 0.14/0.36 will be ordered hyper_res, ur_res, unit deletion, and
% 0.14/0.36 factoring, with satellites in sos and nuclei in usable.
% 0.14/0.36
% 0.14/0.36 dependent: set(hyper_res).
% 0.14/0.36 dependent: set(factor).
% 0.14/0.36 dependent: set(unit_deletion).
% 0.14/0.36
% 0.14/0.36 ------------> process usable:
% 0.14/0.36
% 0.14/0.36 ------------> process sos:
% 0.14/0.36
% 0.14/0.36 ======= end of input processing =======
% 0.20/0.40
% 0.20/0.40 Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.40
% 0.20/0.40 Stopped by limit on number of solutions
% 0.20/0.40
% 0.20/0.40
% 0.20/0.40 -------------- Softie stats --------------
% 0.20/0.40
% 0.20/0.40 UPDATE_STOP: 300
% 0.20/0.40 SFINDER_TIME_LIMIT: 2
% 0.20/0.40 SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.40 number of clauses in intial UL: 15
% 0.20/0.40 number of clauses initially in problem: 19
% 0.20/0.40 percentage of clauses intially in UL: 78
% 0.20/0.40 percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.40 percent of all initial clauses that are short: 100
% 0.20/0.40 absolute distinct symbol count: 9
% 0.20/0.40 distinct predicate count: 4
% 0.20/0.40 distinct function count: 2
% 0.20/0.40 distinct constant count: 3
% 0.20/0.40
% 0.20/0.40 ---------- no more Softie stats ----------
% 0.20/0.40
% 0.20/0.40
% 0.20/0.40
% 0.20/0.40 Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.40
% 0.20/0.40 Stopped by limit on number of solutions
% 0.20/0.40
% 0.20/0.40 =========== start of search ===========
% 12.39/12.56
% 12.39/12.56 -- HEY sandbox2, WE HAVE A PROOF!! --
% 12.39/12.56
% 12.39/12.56 Model 3 (0.00 seconds, 0 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on number of solutions
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 4 [ 1 0 89 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 5 [ 1 0 63 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 6 [ 3 0 63 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 7 [ 1 0 119 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 8 [ 2 0 114 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 9 [ 3 0 119 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 10 [ 3 0 121 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 11 [ 3 0 71 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 12 [ 15 0 126 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 13 [ 4 0 63 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 14 [ 4 0 76 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 15 [ 5 0 128 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 16 [ 5 1 68 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 17 [ 5 0 84 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 18 [ 4 0 65 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 19 [ 6 1 63 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 20 [ 4 1 67 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 21 [ 7 1 121 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 22 [ 7 1 68 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 23 [ 7 1 117 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 24 [ 8 0 63 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 25 [ 7 0 80 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 26 [ 8 0 123 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 27 [ 9 0 117 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 28 [ 9 1 68 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 29 [ 9 1 121 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 30 [ 10 0 74 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 31 [ 10 1 155 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 32 [ 10 0 454 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 33 [ 11 1 160 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 34 [ 11 0 152 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 35 [ 50 1 63 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 36 [ 12 0 84 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 37 [ 12 0 81 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 38 [ 13 0 116 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 39 [ 52 0 77 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 40 [ 13 0 68 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 41 [ 14 0 122 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 42 [ 14 1 125 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 43 [ 61 0 78 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 44 [ 15 1 124 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 45 [ 15 1 63 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 Stopped by limit on insertions
% 12.39/12.56
% 12.39/12.56 Model 46 [ 64 1 343 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 -----> EMPTY CLAUSE at 12.17 sec ----> 2462 [hyper,2422,9,465,unit_del,1,3] {-} $F.
% 12.39/12.56
% 12.39/12.56 Length of proof is 18. Level of proof is 6.
% 12.39/12.56
% 12.39/12.56 ---------------- PROOF ----------------
% 12.39/12.56 % SZS status Theorem
% 12.39/12.56 % SZS output start Refutation
% 12.39/12.56
% 12.39/12.56 1 [] {+} -distinct_points(A,A).
% 12.39/12.56 3 [] {+} -convergent_lines(A,A).
% 12.39/12.56 6 [] {+} -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 12.39/12.56 9 [] {+} -convergent_lines(A,B)| -apart_point_and_line(C,A)|distinct_points(C,intersection_point(A,B)).
% 12.39/12.56 10 [] {+} -convergent_lines(A,B)| -apart_point_and_line(C,B)|distinct_points(C,intersection_point(A,B)).
% 12.39/12.56 11 [] {+} -distinct_points(A,B)| -distinct_lines(C,D)|apart_point_and_line(A,C)|apart_point_and_line(A,D)|apart_point_and_line(B,C)|apart_point_and_line(B,D).
% 12.39/12.56 14 [] {+} -convergent_lines(A,B)|distinct_lines(A,B).
% 12.39/12.56 15 [] {+} -apart_point_and_line(intersection_point($c3,$c2),$c1).
% 12.39/12.56 16 [] {+} convergent_lines($c3,$c2).
% 12.39/12.56 18 [] {+} convergent_lines($c3,$c1).
% 12.39/12.56 19 [] {+} apart_point_and_line(intersection_point($c3,$c1),$c2).
% 12.39/12.56 21 [hyper,16,6] {+} convergent_lines($c3,A)|convergent_lines($c2,A).
% 12.39/12.56 23 [hyper,18,6] {+} convergent_lines($c3,A)|convergent_lines($c1,A).
% 12.39/12.56 31 [hyper,19,10,16] {-} distinct_points(intersection_point($c3,$c1),intersection_point($c3,$c2)).
% 12.39/12.56 34 [hyper,21,6] {-} convergent_lines($c2,A)|convergent_lines($c3,B)|convergent_lines(A,B).
% 12.39/12.56 48 [hyper,23,6] {-} convergent_lines($c1,A)|convergent_lines($c3,B)|convergent_lines(A,B).
% 12.39/12.56 49 [hyper,23,3] {+} convergent_lines($c1,$c3).
% 12.39/12.56 54 [hyper,49,14] {+} distinct_lines($c1,$c3).
% 12.39/12.56 72 [hyper,48,3] {+} convergent_lines($c1,A)|convergent_lines(A,$c3).
% 12.39/12.56 74 [hyper,48,6] {+} convergent_lines($c1,A)|convergent_lines($c3,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 12.39/12.56 75 [factor,74.1.3,unit_del,3] {+} convergent_lines($c3,A)|convergent_lines(A,$c1).
% 12.39/12.56 77 [hyper,72,6] {-} convergent_lines(A,$c3)|convergent_lines($c1,B)|convergent_lines(A,B).
% 12.39/12.56 98 [hyper,31,11,54,unit_del,15] {-} apart_point_and_line(intersection_point($c3,$c1),$c1)|apart_point_and_line(intersection_point($c3,$c1),$c3)|apart_point_and_line(intersection_point($c3,$c2),$c3).
% 12.39/12.56 133 [hyper,34,3] {+} convergent_lines($c2,A)|convergent_lines(A,$c3).
% 12.39/12.56 139 [hyper,133,6] {-} convergent_lines(A,$c3)|convergent_lines($c2,B)|convergent_lines(A,B).
% 12.39/12.56 426 [hyper,77,3] {+} convergent_lines(A,$c3)|convergent_lines(A,$c1).
% 12.39/12.56 465 [hyper,139,3] {+} convergent_lines(A,$c3)|convergent_lines(A,$c2).
% 12.39/12.56 2366 [hyper,98,10,75,unit_del,1,3] {-} apart_point_and_line(intersection_point($c3,$c1),$c3)|apart_point_and_line(intersection_point($c3,$c2),$c3).
% 12.39/12.56 2422 [hyper,2366,9,426,unit_del,1,3] {+} apart_point_and_line(intersection_point($c3,$c2),$c3).
% 12.39/12.56 2462 [hyper,2422,9,465,unit_del,1,3] {-} $F.
% 12.39/12.56
% 12.39/12.56 % SZS output end Refutation
% 12.39/12.56 ------------ end of proof -------------
% 12.39/12.56
% 12.39/12.56
% 12.39/12.56 Search stopped by max_proofs option.
% 12.39/12.56
% 12.39/12.56
% 12.39/12.56 Search stopped by max_proofs option.
% 12.39/12.56
% 12.39/12.56 ============ end of search ============
% 12.39/12.56
% 12.39/12.56 ----------- soft-scott stats ----------
% 12.39/12.56
% 12.39/12.56 true clauses given 29 (16.8%)
% 12.39/12.56 false clauses given 144
% 12.39/12.56
% 12.39/12.56 FALSE TRUE
% 12.39/12.56 5 0 1
% 12.39/12.56 9 20 2
% 12.39/12.56 12 80 10
% 12.39/12.56 13 24 0
% 12.39/12.56 14 0 5
% 12.39/12.56 15 11 9
% 12.39/12.56 18 4 2
% 12.39/12.56 19 4 4
% 12.39/12.56 20 0 1
% 12.39/12.56 21 8 8
% 12.39/12.56 22 8 9
% 12.39/12.56 23 14 21
% 12.39/12.56 24 28 48
% 12.39/12.56 25 0 39
% 12.39/12.56 26 121 116
% 12.39/12.56 27 121 162
% 12.39/12.56 28 0 39
% 12.39/12.56 29 128 155
% 12.39/12.56 30 0 91
% 12.39/12.56 31 0 10
% 12.39/12.56 32 0 80
% 12.39/12.56 39 0 1
% 12.39/12.56 40 0 4
% 12.39/12.56 41 0 2
% 12.39/12.56 tot: 571 819 (58.9% true)
% 12.39/12.56
% 12.39/12.56
% 12.39/12.56 Model 46 [ 64 1 343 ] (0.00 seconds, 250000 Inserts)
% 12.39/12.56
% 12.39/12.56 That finishes the proof of the theorem.
% 12.39/12.56
% 12.39/12.56 Process 18864 finished Sat Jun 18 07:21:10 2022
%------------------------------------------------------------------------------