TSTP Solution File: GEO184+3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO184+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n007.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 06:18:50 EDT 2022
% Result : Theorem 48.60s 48.80s
% Output : Refutation 48.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO184+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 15:09:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.36 ----- Otter 3.2, August 2001 -----
% 0.19/0.36 The process was started by sandbox on n007.cluster.edu,
% 0.19/0.36 Sat Jun 18 15:09:13 2022
% 0.19/0.36 The command was "./sos". The process ID is 5838.
% 0.19/0.36
% 0.19/0.36 set(prolog_style_variables).
% 0.19/0.36 set(auto).
% 0.19/0.36 dependent: set(auto1).
% 0.19/0.36 dependent: set(process_input).
% 0.19/0.36 dependent: clear(print_kept).
% 0.19/0.36 dependent: clear(print_new_demod).
% 0.19/0.36 dependent: clear(print_back_demod).
% 0.19/0.36 dependent: clear(print_back_sub).
% 0.19/0.36 dependent: set(control_memory).
% 0.19/0.36 dependent: assign(max_mem, 12000).
% 0.19/0.36 dependent: assign(pick_given_ratio, 4).
% 0.19/0.36 dependent: assign(stats_level, 1).
% 0.19/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.36 dependent: assign(sos_limit, 5000).
% 0.19/0.36 dependent: assign(max_weight, 60).
% 0.19/0.36 clear(print_given).
% 0.19/0.36
% 0.19/0.36 formula_list(usable).
% 0.19/0.36
% 0.19/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.19/0.36
% 0.19/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.36 clauses in usable.
% 0.19/0.36
% 0.19/0.36 dependent: set(knuth_bendix).
% 0.19/0.36 dependent: set(para_from).
% 0.19/0.36 dependent: set(para_into).
% 0.19/0.36 dependent: clear(para_from_right).
% 0.19/0.36 dependent: clear(para_into_right).
% 0.19/0.36 dependent: set(para_from_vars).
% 0.19/0.36 dependent: set(eq_units_both_ways).
% 0.19/0.36 dependent: set(dynamic_demod_all).
% 0.19/0.36 dependent: set(dynamic_demod).
% 0.19/0.36 dependent: set(order_eq).
% 0.19/0.36 dependent: set(back_demod).
% 0.19/0.36 dependent: set(lrpo).
% 0.19/0.36 dependent: set(hyper_res).
% 0.19/0.36 dependent: set(unit_deletion).
% 0.19/0.36 dependent: set(factor).
% 0.19/0.36
% 0.19/0.36 ------------> process usable:
% 0.19/0.36 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).
% 0.19/0.36 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).
% 0.19/0.36 28 back subsumes 27.
% 0.19/0.36
% 0.19/0.36 ------------> process sos:
% 0.19/0.36 Following clause subsumed by 40 during input processing: 0 [] {-} convergent_lines(A,B)|unorthogonal_lines(A,B).
% 0.19/0.36
% 0.19/0.36 ======= end of input processing =======
% 0.19/0.40
% 0.19/0.40 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.40
% 0.19/0.40 Stopped by limit on number of solutions
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 -------------- Softie stats --------------
% 0.19/0.40
% 0.19/0.40 UPDATE_STOP: 300
% 0.19/0.40 SFINDER_TIME_LIMIT: 2
% 0.19/0.40 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.40 number of clauses in intial UL: 37
% 0.19/0.40 number of clauses initially in problem: 47
% 0.19/0.40 percentage of clauses intially in UL: 78
% 0.19/0.40 percentage of distinct symbols occuring in initial UL: 95
% 0.19/0.40 percent of all initial clauses that are short: 100
% 0.19/0.40 absolute distinct symbol count: 20
% 0.19/0.40 distinct predicate count: 12
% 0.19/0.40 distinct function count: 4
% 0.19/0.40 distinct constant count: 4
% 0.19/0.40
% 0.19/0.40 ---------- no more Softie stats ----------
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.40
% 0.19/0.40 Stopped by limit on number of solutions
% 0.19/0.40
% 0.19/0.40 =========== start of search ===========
% 24.95/25.15
% 24.95/25.15
% 24.95/25.15 Changing weight limit from 60 to 23.
% 24.95/25.15
% 24.95/25.15 Stopped by limit on insertions
% 24.95/25.15
% 24.95/25.15 Model 3 [ 3 1 504 ] (0.00 seconds, 250000 Inserts)
% 24.95/25.15
% 24.95/25.15 Stopped by limit on insertions
% 24.95/25.15
% 24.95/25.15 Model 4 [ 1 1 155 ] (0.00 seconds, 250000 Inserts)
% 24.95/25.15
% 24.95/25.15 Stopped by limit on insertions
% 24.95/25.15
% 24.95/25.15 Model 5 [ 4 0 510 ] (0.00 seconds, 250000 Inserts)
% 24.95/25.15
% 24.95/25.15 Stopped by limit on insertions
% 24.95/25.15
% 24.95/25.15 Model 6 [ 2 0 874 ] (0.00 seconds, 250000 Inserts)
% 24.95/25.15
% 24.95/25.15 Stopped by limit on insertions
% 24.95/25.15
% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
% 24.95/25.15
% 24.95/25.15 Model 7 [ 5 0 152 ] (0.00 seconds, 250000 Inserts)
% 24.95/25.15
% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
% 24.95/25.15
% 24.95/25.15 Stopped by limit on insertions
% 24.95/25.15
% 24.95/25.15 Model 8 [ 113 0 160 ] (0.00 seconds, 250000 Inserts)
% 24.95/25.15
% 24.95/25.15 Stopped by limit on insertions
% 24.95/25.15
% 24.95/25.15 Model 9 [ 116 1 185 ] (0.00 seconds, 250000 Inserts)
% 24.95/25.15
% 24.95/25.15 Stopped by limit on insertions
% 24.95/25.15
% 24.95/25.15 Stopped by limit on insertions
% 24.95/25.15
% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
% 24.95/25.15
% 24.95/25.15 Stopped by limit on insertions
% 24.95/25.15
% 24.95/25.15 Model 10 [ 144 1 154 ] (0.00 seconds, 250000 Inserts)
% 24.95/25.15
% 24.95/25.15 Stopped by limit on insertions
% 24.95/25.15
% 24.95/25.15 Model 11 [ 119 0 156 ] (0.00 seconds, 250000 Inserts)
% 24.95/25.15
% 24.95/25.15 Stopped by limit on insertions
% 24.95/25.15
% 24.95/25.15 Stopped by limit on insertions
% 24.95/25.15
% 24.95/25.15 Model 12 [ 121 0 206 ] (0.00 seconds, 250000 Inserts)
% 24.95/25.15
% 24.95/25.15 Stopped by limit on insertions
% 24.95/25.15
% 24.95/25.15 Stopped by limit on insertions
% 24.95/25.15
% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
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% 24.95/25.15 Stopped by limit on insertions
% 24.95/25.15
% 24.95/25.15 Stopped by limit on insertions
% 24.95/25.15
% 24.95/25.15 Stopped by limit on insertions
% 24.95/25.15
% 24.95/25.15 Resetting weight limit to 23 after 190 givens.
% 24.95/25.15
% 33.50/33.71
% 33.50/33.71
% 33.50/33.71 Changing weight limit from 23 to 22.
% 33.50/33.71
% 33.50/33.71 Stopped by limit on insertions
% 33.50/33.71
% 33.50/33.71 Stopped by limit on insertions
% 33.50/33.71
% 33.50/33.71 Stopped by limit on insertions
% 33.50/33.71
% 33.50/33.71 Resetting weight limit to 22 after 340 givens.
% 33.50/33.71
% 33.69/33.92
% 33.69/33.92
% 33.69/33.92 Changing weight limit from 22 to 21.
% 33.69/33.92
% 33.69/33.92 Resetting weight limit to 21 after 345 givens.
% 33.69/33.92
% 33.93/34.11
% 33.93/34.11
% 33.93/34.11 Changing weight limit from 21 to 20.
% 33.93/34.11
% 33.93/34.11 Resetting weight limit to 20 after 355 givens.
% 33.93/34.11
% 38.16/38.40
% 38.16/38.40
% 38.16/38.40 Changing weight limit from 20 to 19.
% 38.16/38.40
% 38.16/38.40 Stopped by limit on insertions
% 38.16/38.40
% 38.16/38.40 Stopped by limit on insertions
% 38.16/38.40
% 38.16/38.40 Model 13 [ 347 1 880 ] (0.00 seconds, 250000 Inserts)
% 38.16/38.40
% 38.16/38.40 Stopped by limit on insertions
% 38.16/38.40
% 38.16/38.40 Model 14 [ 320 1 1402 ] (0.00 seconds, 250000 Inserts)
% 38.16/38.40
% 38.16/38.40 Stopped by limit on insertions
% 38.16/38.40
% 38.16/38.40 Resetting weight limit to 19 after 420 givens.
% 38.16/38.40
% 39.61/39.79
% 39.61/39.79
% 39.61/39.79 Changing weight limit from 19 to 18.
% 39.61/39.79
% 39.61/39.79 Stopped by limit on insertions
% 39.61/39.79
% 39.61/39.79 Modelling stopped after 300 given clauses and 0.00 seconds
% 39.61/39.79
% 39.61/39.79
% 39.61/39.79 Resetting weight limit to 18 after 450 givens.
% 39.61/39.79
% 39.61/39.83
% 39.61/39.83
% 39.61/39.83 Changing weight limit from 18 to 17.
% 39.61/39.83
% 39.61/39.83 Resetting weight limit to 17 after 455 givens.
% 39.61/39.83
% 40.30/40.47
% 40.30/40.47
% 40.30/40.47 Changing weight limit from 17 to 16.
% 40.30/40.47
% 40.30/40.47 Resetting weight limit to 16 after 490 givens.
% 40.30/40.47
% 41.80/41.99
% 41.80/41.99
% 41.80/41.99 Changing weight limit from 16 to 15.
% 41.80/41.99
% 41.80/41.99 Resetting weight limit to 15 after 550 givens.
% 41.80/41.99
% 44.07/44.27
% 44.07/44.27
% 44.07/44.27 Changing weight limit from 15 to 14.
% 44.07/44.27
% 44.07/44.27 Resetting weight limit to 14 after 730 givens.
% 44.07/44.27
% 48.07/48.27
% 48.07/48.27
% 48.07/48.27 Changing weight limit from 14 to 13.
% 48.07/48.27
% 48.07/48.27 Resetting weight limit to 13 after 1040 givens.
% 48.07/48.27
% 48.60/48.80
% 48.60/48.80
% 48.60/48.80 Changing weight limit from 13 to 12.
% 48.60/48.80
% 48.60/48.80 Resetting weight limit to 12 after 1070 givens.
% 48.60/48.80
% 48.60/48.80
% 48.60/48.80 -- HEY sandbox, WE HAVE A PROOF!! --
% 48.60/48.80
% 48.60/48.80 ----> UNIT CONFLICT at 48.27 sec ----> 25729 [binary,25728.1,16.1] {+} $F.
% 48.60/48.80
% 48.60/48.80 Length of proof is 22. Level of proof is 14.
% 48.60/48.80
% 48.60/48.80 ---------------- PROOF ----------------
% 48.60/48.80 % SZS status Theorem
% 48.60/48.80 % SZS output start Refutation
% 48.60/48.80
% 48.60/48.80 1 [] {+} -distinct_points(A,A).
% 48.60/48.80 2 [] {+} -distinct_lines(A,A).
% 48.60/48.80 4 [] {+} -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 48.60/48.80 11 [] {+} -distinct_points(A,B)| -distinct_lines(C,D)|apart_point_and_line(A,C)|apart_point_and_line(A,D)|apart_point_and_line(B,C)|apart_point_and_line(B,D).
% 48.60/48.80 15 [] {+} -distinct_lines(A,B)|convergent_lines(A,B).
% 48.60/48.80 16 [] {+} -convergent_lines(parallel_through_point(A,B),A).
% 48.60/48.80 17 [] {+} -apart_point_and_line(A,parallel_through_point(B,A)).
% 48.60/48.80 21 [] {+} -unorthogonal_lines(orthogonal_through_point(A,B),A).
% 48.60/48.80 28 [] {+} unorthogonal_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C).
% 48.60/48.80 36 [] {+} -incident_point_and_line(A,B)| -apart_point_and_line(A,B).
% 48.60/48.80 37 [] {+} -orthogonal_lines(A,B)| -unorthogonal_lines(A,B).
% 48.60/48.80 41 [] {+} equal_points(A,B)|distinct_points(A,B).
% 48.60/48.80 42 [] {-} equal_lines(A,B)|distinct_lines(A,B).
% 48.60/48.80 45 [] {-} orthogonal_lines(A,B)|unorthogonal_lines(A,B).
% 48.60/48.80 46 [] {+} distinct_points($c4,$c3).
% 48.60/48.80 47 [] {+} convergent_lines($c2,$c1).
% 48.60/48.80 48 [] {+} incident_point_and_line($c4,$c2).
% 48.60/48.80 49 [] {+} incident_point_and_line($c3,$c2).
% 48.60/48.80 51 [hyper,46,4] {-} distinct_points($c4,A)|distinct_points($c3,A).
% 48.60/48.80 52 [hyper,47,28] {+} unorthogonal_lines(A,$c2)|unorthogonal_lines(A,$c1).
% 48.60/48.80 57 [para_from,41.1.1,49.1.1] {+} incident_point_and_line(A,$c2)|distinct_points($c3,A).
% 48.60/48.80 86 [para_from,42.1.1,48.1.1] {+} incident_point_and_line(A,$c2)|distinct_lines($c4,A).
% 48.60/48.80 96 [para_from,42.1.1,17.1.2] {+} -apart_point_and_line(A,B)|distinct_lines(parallel_through_point(C,A),B).
% 48.60/48.80 122 [hyper,45,21] {+} orthogonal_lines(orthogonal_through_point(A,B),A).
% 48.60/48.80 130 [hyper,51,1] {-} distinct_points($c3,$c4).
% 48.60/48.80 151 [para_into,52.1.2,41.1.1] {-} unorthogonal_lines(A,B)|unorthogonal_lines(A,$c1)|distinct_points($c2,B).
% 48.60/48.80 155 [factor,151.1.2] {-} unorthogonal_lines(A,$c1)|distinct_points($c2,$c1).
% 48.60/48.80 284 [hyper,155,37,122] {-} distinct_points($c2,$c1).
% 48.60/48.80 295 [para_into,284.1.1,42.1.1] {-} distinct_points(A,$c1)|distinct_lines($c2,A).
% 48.60/48.80 315 [para_into,57.1.2,41.1.1] {+} incident_point_and_line(A,B)|distinct_points($c3,A)|distinct_points($c2,B).
% 48.60/48.80 362 [hyper,295,1] {+} distinct_lines($c2,$c1).
% 48.60/48.80 424 [hyper,362,11,130] {-} apart_point_and_line($c3,$c2)|apart_point_and_line($c3,$c1)|apart_point_and_line($c4,$c2)|apart_point_and_line($c4,$c1).
% 48.60/48.80 602 [para_into,86.1.2,42.1.1] {+} incident_point_and_line(A,B)|distinct_lines($c4,A)|distinct_lines($c2,B).
% 48.60/48.80 19290 [hyper,424,36,315,unit_del,1,1] {-} apart_point_and_line($c3,$c1)|apart_point_and_line($c4,$c2)|apart_point_and_line($c4,$c1).
% 48.60/48.80 22472 [hyper,19290,36,602,unit_del,2,2] {-} apart_point_and_line($c3,$c1)|apart_point_and_line($c4,$c1).
% 48.60/48.80 23048 [hyper,22472,96] {-} apart_point_and_line($c4,$c1)|distinct_lines(parallel_through_point(A,$c3),$c1).
% 48.60/48.80 24471 [hyper,23048,15] {-} apart_point_and_line($c4,$c1)|convergent_lines(parallel_through_point(A,$c3),$c1).
% 48.60/48.80 24758 [hyper,24471,16] {-} apart_point_and_line($c4,$c1).
% 48.60/48.80 25225 [hyper,24758,96] {-} distinct_lines(parallel_through_point(A,$c4),$c1).
% 48.60/48.80 25728 [hyper,25225,15] {-} convergent_lines(parallel_through_point(A,$c4),$c1).
% 48.60/48.80 25729 [binary,25728.1,16.1] {+} $F.
% 48.60/48.80
% 48.60/48.80 % SZS output end Refutation
% 48.60/48.80 ------------ end of proof -------------
% 48.60/48.80
% 48.60/48.80
% 48.60/48.80 Search stopped by max_proofs option.
% 48.60/48.80
% 48.60/48.80
% 48.60/48.80 Search stopped by max_proofs option.
% 48.60/48.80
% 48.60/48.80 ============ end of search ============
% 48.60/48.80
% 48.60/48.80 ----------- soft-scott stats ----------
% 48.60/48.80
% 48.60/48.80 true clauses given 297 (27.8%)
% 48.60/48.80 false clauses given 773
% 48.60/48.80
% 48.60/48.80 FALSE TRUE
% 48.60/48.80 5 8 3
% 48.60/48.80 6 4 0
% 48.60/48.80 7 12 4
% 48.60/48.80 8 63 67
% 48.60/48.80 9 28 232
% 48.60/48.80 10 681 444
% 48.60/48.80 11 1704 1139
% 48.60/48.80 12 0 611
% 48.60/48.80 tot: 2500 2500 (50.0% true)
% 48.60/48.80
% 48.60/48.80
% 48.60/48.80 Model 14 [ 320 -228 1402 ] (0.00 seconds, 250000 Inserts)
% 48.60/48.80
% 48.60/48.80 That finishes the proof of the theorem.
% 48.60/48.80
% 48.60/48.80 Process 5838 finished Sat Jun 18 15:10:01 2022
%------------------------------------------------------------------------------