TSTP Solution File: GRP130-3.003 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP130-3.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n019.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 11:41:47 EDT 2022
% Result : Unsatisfiable 21.76s 22.02s
% Output : Refutation 21.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP130-3.003 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n019.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 : Mon Jun 13 18:15:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36 ----- Otter 3.2, August 2001 -----
% 0.13/0.36 The process was started by sandbox2 on n019.cluster.edu,
% 0.13/0.36 Mon Jun 13 18:15:39 2022
% 0.13/0.36 The command was "./sos". The process ID is 12114.
% 0.13/0.36
% 0.13/0.36 set(prolog_style_variables).
% 0.13/0.36 set(auto).
% 0.13/0.36 dependent: set(auto1).
% 0.13/0.36 dependent: set(process_input).
% 0.13/0.36 dependent: clear(print_kept).
% 0.13/0.36 dependent: clear(print_new_demod).
% 0.13/0.36 dependent: clear(print_back_demod).
% 0.13/0.36 dependent: clear(print_back_sub).
% 0.13/0.36 dependent: set(control_memory).
% 0.13/0.36 dependent: assign(max_mem, 12000).
% 0.13/0.36 dependent: assign(pick_given_ratio, 4).
% 0.13/0.36 dependent: assign(stats_level, 1).
% 0.13/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36 dependent: assign(sos_limit, 5000).
% 0.13/0.36 dependent: assign(max_weight, 60).
% 0.13/0.36 clear(print_given).
% 0.13/0.36
% 0.13/0.36 list(usable).
% 0.13/0.36
% 0.13/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.13/0.36
% 0.13/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.36 clauses in usable.
% 0.13/0.36
% 0.13/0.36 dependent: set(knuth_bendix).
% 0.13/0.36 dependent: set(para_from).
% 0.13/0.36 dependent: set(para_into).
% 0.13/0.36 dependent: clear(para_from_right).
% 0.13/0.36 dependent: clear(para_into_right).
% 0.13/0.36 dependent: set(para_from_vars).
% 0.13/0.36 dependent: set(eq_units_both_ways).
% 0.13/0.36 dependent: set(dynamic_demod_all).
% 0.13/0.36 dependent: set(dynamic_demod).
% 0.13/0.36 dependent: set(order_eq).
% 0.13/0.36 dependent: set(back_demod).
% 0.13/0.36 dependent: set(lrpo).
% 0.13/0.36 dependent: set(hyper_res).
% 0.13/0.36 dependent: set(unit_deletion).
% 0.13/0.36 dependent: set(factor).
% 0.13/0.36
% 0.13/0.36 ------------> process usable:
% 0.13/0.36 Following clause subsumed by 8 during input processing: 0 [] {-} -equalish(e_2,e_1).
% 0.13/0.36 Following clause subsumed by 10 during input processing: 0 [] {-} -equalish(e_3,e_1).
% 0.13/0.36 Following clause subsumed by 12 during input processing: 0 [] {-} -equalish(e_3,e_2).
% 0.13/0.36
% 0.13/0.36 ------------> process sos:
% 0.13/0.36
% 0.13/0.36 ======= 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: 31
% 0.19/0.40 number of clauses initially in problem: 44
% 0.19/0.40 percentage of clauses intially in UL: 70
% 0.19/0.40 percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.40 percent of all initial clauses that are short: 100
% 0.19/0.40 absolute distinct symbol count: 10
% 0.19/0.40 distinct predicate count: 6
% 0.19/0.40 distinct function count: 0
% 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 ===========
% 3.28/3.54
% 3.28/3.54
% 3.28/3.54 Changing weight limit from 60 to 29.
% 3.28/3.54
% 3.28/3.54 Stopped by limit on insertions
% 3.28/3.54
% 3.28/3.54 Stopped by limit on insertions
% 3.28/3.54
% 3.28/3.54 Model 3 [ 1 1 267 ] (0.00 seconds, 250000 Inserts)
% 3.28/3.54
% 3.28/3.54 Stopped by limit on insertions
% 3.28/3.54
% 3.28/3.54 Model 4 [ 2 0 397 ] (0.00 seconds, 250000 Inserts)
% 3.28/3.54
% 3.28/3.54 Stopped by limit on insertions
% 3.28/3.54
% 3.28/3.54 Model 5 [ 2 1 172 ] (0.00 seconds, 250000 Inserts)
% 3.28/3.54
% 3.28/3.54 Stopped by limit on insertions
% 3.28/3.54
% 3.28/3.54 Model 6 [ 2 1 272 ] (0.00 seconds, 250000 Inserts)
% 3.28/3.54
% 3.28/3.54 Stopped by limit on insertions
% 3.28/3.54
% 3.28/3.54 Model 7 [ 2 0 391 ] (0.00 seconds, 250000 Inserts)
% 3.28/3.54
% 3.28/3.54 Stopped by limit on insertions
% 3.28/3.54
% 3.28/3.54 Model 8 [ 2 0 2274 ] (0.00 seconds, 250000 Inserts)
% 3.28/3.54
% 3.28/3.54 Stopped by limit on insertions
% 3.28/3.54
% 3.28/3.54 Model 9 [ 3 0 193 ] (0.00 seconds, 250000 Inserts)
% 3.28/3.54
% 3.28/3.54 Stopped by limit on insertions
% 3.28/3.54
% 3.28/3.54 Model 10 [ 3 1 284 ] (0.00 seconds, 250000 Inserts)
% 3.28/3.54
% 3.28/3.54 Stopped by limit on insertions
% 3.28/3.54
% 3.28/3.54 Model 11 [ 3 1 4883 ] (0.00 seconds, 250000 Inserts)
% 3.28/3.54
% 3.28/3.54 Stopped by limit on insertions
% 3.28/3.54
% 3.28/3.54 Model 12 [ 3 0 291 ] (0.00 seconds, 250000 Inserts)
% 3.28/3.54
% 3.28/3.54 Resetting weight limit to 29 after 75 givens.
% 3.28/3.54
% 3.70/3.93
% 3.70/3.93
% 3.70/3.93 Changing weight limit from 29 to 25.
% 3.70/3.93
% 3.70/3.93 Resetting weight limit to 25 after 80 givens.
% 3.70/3.93
% 3.99/4.21
% 3.99/4.21
% 3.99/4.21 Changing weight limit from 25 to 24.
% 3.99/4.21
% 3.99/4.21 Resetting weight limit to 24 after 85 givens.
% 3.99/4.21
% 4.47/4.71
% 4.47/4.71
% 4.47/4.71 Changing weight limit from 24 to 23.
% 4.47/4.71
% 4.47/4.71 Resetting weight limit to 23 after 90 givens.
% 4.47/4.71
% 4.69/4.91
% 4.69/4.91
% 4.69/4.91 Changing weight limit from 23 to 21.
% 4.69/4.91
% 4.69/4.91 Resetting weight limit to 21 after 95 givens.
% 4.69/4.91
% 5.20/5.41
% 5.20/5.41
% 5.20/5.41 Changing weight limit from 21 to 20.
% 5.20/5.41
% 5.20/5.41 Resetting weight limit to 20 after 105 givens.
% 5.20/5.41
% 8.39/8.60
% 8.39/8.60
% 8.39/8.60 Changing weight limit from 20 to 21.
% 8.39/8.60
% 8.39/8.60 Resetting weight limit to 21 after 185 givens.
% 8.39/8.60
% 8.70/8.92
% 8.70/8.92
% 8.70/8.92 Changing weight limit from 21 to 20.
% 8.70/8.92
% 8.70/8.92 Stopped by limit on insertions
% 8.70/8.92
% 8.70/8.92 Model 13 [ 3 1 286 ] (0.00 seconds, 250000 Inserts)
% 8.70/8.92
% 8.70/8.92 Resetting weight limit to 20 after 190 givens.
% 8.70/8.92
% 9.00/9.18
% 9.00/9.18
% 9.00/9.18 Changing weight limit from 20 to 21.
% 9.00/9.18
% 9.00/9.18 Stopped by limit on insertions
% 9.00/9.18
% 9.00/9.18 Model 14 [ 4 1 8427 ] (0.00 seconds, 250000 Inserts)
% 9.00/9.18
% 9.00/9.18 Resetting weight limit to 21 after 195 givens.
% 9.00/9.18
% 9.14/9.32
% 9.14/9.32
% 9.14/9.32 Changing weight limit from 21 to 22.
% 9.14/9.32
% 9.14/9.32 Resetting weight limit to 22 after 200 givens.
% 9.14/9.32
% 9.24/9.46
% 9.24/9.46
% 9.24/9.46 Changing weight limit from 22 to 23.
% 9.24/9.46
% 9.24/9.46 Resetting weight limit to 23 after 205 givens.
% 9.24/9.46
% 9.48/9.69
% 9.48/9.69
% 9.48/9.69 Changing weight limit from 23 to 24.
% 9.48/9.69
% 9.48/9.69 Resetting weight limit to 24 after 210 givens.
% 9.48/9.69
% 9.70/9.90
% 9.70/9.90
% 9.70/9.90 Changing weight limit from 24 to 25.
% 9.70/9.90
% 9.70/9.90 Resetting weight limit to 25 after 215 givens.
% 9.70/9.90
% 10.01/10.24
% 10.01/10.24
% 10.01/10.24 Changing weight limit from 25 to 24.
% 10.01/10.24
% 10.01/10.24 Resetting weight limit to 24 after 220 givens.
% 10.01/10.24
% 20.84/21.05
% 20.84/21.05
% 20.84/21.05 Changing weight limit from 24 to 20.
% 20.84/21.05
% 20.84/21.05 Stopped by limit on insertions
% 20.84/21.05
% 20.84/21.05 Model 15 [ 5 1 43445 ] (0.00 seconds, 250000 Inserts)
% 20.84/21.05
% 20.84/21.05 Stopped by limit on insertions
% 20.84/21.05
% 20.84/21.05 Model 16 [ 6 0 140 ] (0.00 seconds, 250000 Inserts)
% 20.84/21.05
% 20.84/21.05 Stopped by limit on insertions
% 20.84/21.05
% 20.84/21.05 Model 17 [ 2 3 55638 ] (0.00 seconds, 250000 Inserts)
% 20.84/21.05
% 20.84/21.05 Stopped by limit on insertions
% 20.84/21.05
% 20.84/21.05 Model 18 [ 4 1 5442 ] (0.00 seconds, 250000 Inserts)
% 20.84/21.05
% 20.84/21.05 Resetting weight limit to 20 after 315 givens.
% 20.84/21.05
% 21.68/21.87
% 21.68/21.87
% 21.68/21.87 Changing weight limit from 20 to 21.
% 21.68/21.87
% 21.68/21.87 Stopped by limit on insertions
% 21.68/21.87
% 21.68/21.87 Model 19 [ 8 0 11749 ] (0.00 seconds, 250000 Inserts)
% 21.68/21.87
% 21.68/21.87 Stopped by limit on insertions
% 21.68/21.87
% 21.68/21.87 Model 20 [ 6 1 3238 ] (0.00 seconds, 250000 Inserts)
% 21.68/21.87
% 21.68/21.87 Stopped by limit on insertions
% 21.68/21.87
% 21.68/21.87 Model 21 [ 4 1 14590 ] (0.00 seconds, 250000 Inserts)
% 21.68/21.87
% 21.68/21.87 Resetting weight limit to 21 after 320 givens.
% 21.68/21.87
% 21.76/22.02
% 21.76/22.02 -- HEY sandbox2, WE HAVE A PROOF!! --
% 21.76/22.02
% 21.76/22.02 Stopped by limit on insertions
% 21.76/22.02
% 21.76/22.02 Model 22 [ 4 3 145324 ] (0.00 seconds, 250000 Inserts)
% 21.76/22.02
% 21.76/22.02 ----> UNIT CONFLICT at 21.61 sec ----> 12497 [binary,12495.1,10.1] {+} $F.
% 21.76/22.02
% 21.76/22.02 Length of proof is 30. Level of proof is 11.
% 21.76/22.02
% 21.76/22.02 ---------------- PROOF ----------------
% 21.76/22.02 % SZS status Unsatisfiable
% 21.76/22.02 % SZS output start Refutation
% 21.76/22.02
% 21.76/22.02 2 [] {+} -group_element(A)|cycle(A,e_0)|cycle(A,e_1)|cycle(A,e_2).
% 21.76/22.02 3 [] {+} -cycle(A,B)| -cycle(C,D)| -next(A,C)| -greater(B,e_0)| -next(D,E)|equalish(B,E).
% 21.76/22.02 4 [] {+} -cycle(A,B)| -cycle(C,e_0)| -cycle(D,E)| -next(C,D)| -greater(C,A)| -greater(B,E).
% 21.76/22.02 5 [] {+} -cycle(A,e_0)| -product(A,e_1,B)| -greater(B,A).
% 21.76/22.02 6 [] {+} -cycle(A,B)| -product(A,e_1,C)| -greater(B,e_0)| -next(A,D)|equalish(C,D).
% 21.76/22.02 7 [] {-} -equalish(e_1,e_2).
% 21.76/22.02 8 [copy,7,flip.1] {+} -equalish(e_2,e_1).
% 21.76/22.02 9 [] {-} -equalish(e_1,e_3).
% 21.76/22.02 10 [copy,9,flip.1] {+} -equalish(e_3,e_1).
% 21.76/22.02 11 [] {-} -equalish(e_2,e_3).
% 21.76/22.02 12 [copy,11,flip.1] {+} -equalish(e_3,e_2).
% 21.76/22.02 13 [] {+} -group_element(A)| -group_element(B)|product(A,B,e_1)|product(A,B,e_2)|product(A,B,e_3).
% 21.76/22.02 15 [] {+} -product(A,B,C)| -product(A,D,C)|equalish(B,D).
% 21.76/22.02 16 [] {+} -product(A,B,C)| -product(D,B,C)|equalish(A,D).
% 21.76/22.02 17 [] {+} -product(A,B,C)| -product(A,C,D)|product(D,B,A).
% 21.76/22.02 20 [factor,3.3.5] {+} -cycle(A,B)| -cycle(C,A)| -next(A,C)| -greater(B,e_0)|equalish(B,C).
% 21.76/22.02 29 [factor,17.1.2] {+} -product(A,B,B)|product(B,B,A).
% 21.76/22.02 35 [] {+} next(e_0,e_1).
% 21.76/22.02 36 [] {+} next(e_1,e_2).
% 21.76/22.02 37 [] {+} next(e_2,e_3).
% 21.76/22.02 38 [] {+} greater(e_1,e_0).
% 21.76/22.02 39 [] {+} greater(e_2,e_0).
% 21.76/22.02 41 [] {+} greater(e_2,e_1).
% 21.76/22.02 42 [] {+} greater(e_3,e_1).
% 21.76/22.02 44 [] {+} cycle(e_3,e_0).
% 21.76/22.02 45 [] {-} group_element(e_1).
% 21.76/22.02 46 [] {+} group_element(e_2).
% 21.76/22.02 47 [] {+} group_element(e_3).
% 21.76/22.02 65 [hyper,45,2] {+} cycle(e_1,e_0)|cycle(e_1,e_1)|cycle(e_1,e_2).
% 21.76/22.02 76 [hyper,46,13,45] {-} product(e_2,e_1,e_1)|product(e_2,e_1,e_2)|product(e_2,e_1,e_3).
% 21.76/22.02 77 [hyper,46,2] {+} cycle(e_2,e_0)|cycle(e_2,e_1)|cycle(e_2,e_2).
% 21.76/22.02 87 [hyper,47,13,46] {-} product(e_2,e_3,e_1)|product(e_2,e_3,e_2)|product(e_2,e_3,e_3).
% 21.76/22.02 90 [hyper,47,13,45] {-} product(e_3,e_1,e_1)|product(e_3,e_1,e_2)|product(e_3,e_1,e_3).
% 21.76/22.02 1731 [hyper,77,3,44,37,39,35,unit_del,8] {+} cycle(e_2,e_0)|cycle(e_2,e_1).
% 21.76/22.02 1884 [hyper,1731,4,65,44,37,41,39] {+} cycle(e_2,e_1)|cycle(e_1,e_0)|cycle(e_1,e_1).
% 21.76/22.02 2736 [hyper,76,29] {-} product(e_2,e_1,e_2)|product(e_2,e_1,e_3)|product(e_1,e_1,e_2).
% 21.76/22.02 3730 [hyper,87,29] {-} product(e_2,e_3,e_1)|product(e_2,e_3,e_2)|product(e_3,e_3,e_2).
% 21.76/22.02 4811 [hyper,90,29] {-} product(e_3,e_1,e_2)|product(e_3,e_1,e_3)|product(e_1,e_1,e_3).
% 21.76/22.02 5811 [hyper,1884,4,1731,44,37,41,38,factor_simp] {+} cycle(e_2,e_1)|cycle(e_1,e_0).
% 21.76/22.02 5929 [hyper,5811,20,65,36,38,unit_del,8,factor_simp] {+} cycle(e_1,e_0)|cycle(e_1,e_2).
% 21.76/22.02 5934 [hyper,5811,5,2736,41] {-} cycle(e_2,e_1)|product(e_2,e_1,e_2)|product(e_2,e_1,e_3).
% 21.76/22.02 6078 [hyper,5934,6,76,38,37,unit_del,10,factor_simp,factor_simp] {-} product(e_2,e_1,e_2)|product(e_2,e_1,e_3).
% 21.76/22.02 6085 [hyper,6078,17,3730,factor_simp] {-} product(e_2,e_1,e_3)|product(e_2,e_3,e_2)|product(e_3,e_3,e_2).
% 21.76/22.02 8836 [hyper,4811,5,5929,42] {-} product(e_3,e_1,e_2)|product(e_3,e_1,e_3)|cycle(e_1,e_2).
% 21.76/22.02 9218 [hyper,8836,6,4811,39,36,unit_del,12,factor_simp,factor_simp] {-} product(e_3,e_1,e_2)|product(e_3,e_1,e_3).
% 21.76/22.02 9236 [hyper,9218,16,6078,unit_del,12] {-} product(e_3,e_1,e_3)|product(e_2,e_1,e_3).
% 21.76/22.02 12036 [hyper,6085,17,3730,factor_simp,factor_simp,factor_simp] {+} product(e_2,e_3,e_2)|product(e_3,e_3,e_2).
% 21.76/22.02 12054 [hyper,6085,15,6078,unit_del,10,factor_simp] {-} product(e_2,e_1,e_3)|product(e_3,e_3,e_2).
% 21.76/22.02 12167 [hyper,12036,17,6078,factor_simp] {-} product(e_3,e_3,e_2)|product(e_2,e_1,e_2).
% 21.76/22.02 12324 [hyper,12054,17,9236,factor_simp,factor_simp] {+} product(e_2,e_1,e_3).
% 21.76/22.02 12352 [hyper,12324,16,9218,unit_del,12] {+} product(e_3,e_1,e_2).
% 21.76/22.02 12433 [hyper,12167,15,12036,unit_del,10,factor_simp] {+} product(e_3,e_3,e_2).
% 21.76/22.02 12495 [hyper,12352,15,12433] {-} equalish(e_3,e_1).
% 21.76/22.02 12497 [binary,12495.1,10.1] {+} $F.
% 21.76/22.02
% 21.76/22.02 % SZS output end Refutation
% 21.76/22.02 ------------ end of proof -------------
% 21.76/22.02
% 21.76/22.02
% 21.76/22.02 Search stopped by max_proofs option.
% 21.76/22.02
% 21.76/22.02
% 21.76/22.02 Search stopped by max_proofs option.
% 21.76/22.02
% 21.76/22.02 ============ end of search ============
% 21.76/22.02
% 21.76/22.02 ----------- soft-scott stats ----------
% 21.76/22.02
% 21.76/22.02 true clauses given 119 (37.0%)
% 21.76/22.02 false clauses given 203
% 21.76/22.02
% 21.76/22.02 FALSE TRUE
% 21.76/22.02 3 0 2
% 21.76/22.02 8 6 3
% 21.76/22.02 9 0 2
% 21.76/22.02 10 1 5
% 21.76/22.02 11 1 57
% 21.76/22.02 12 31 78
% 21.76/22.02 13 1 61
% 21.76/22.02 14 34 127
% 21.76/22.02 15 16 1114
% 21.76/22.02 16 26 284
% 21.76/22.02 17 1 20
% 21.76/22.02 18 9 6
% 21.76/22.02 19 18 0
% 21.76/22.02 20 3 15
% 21.76/22.02 21 0 2
% 21.76/22.02 tot: 147 1776 (92.4% true)
% 21.76/22.02
% 21.76/22.02
% 21.76/22.02 Model 22 [ 4 3 145324 ] (0.00 seconds, 250000 Inserts)
% 21.76/22.02
% 21.76/22.02 That finishes the proof of the theorem.
% 21.76/22.02
% 21.76/22.02 Process 12114 finished Mon Jun 13 18:16:01 2022
%------------------------------------------------------------------------------