TSTP Solution File: GRP123-3.003 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP123-3.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n006.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 11:41:28 EDT 2022
% Result : Unsatisfiable 22.45s 22.69s
% Output : Refutation 22.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP123-3.003 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n006.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 16:42:41 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 sandbox on n006.cluster.edu,
% 0.13/0.36 Mon Jun 13 16:42:41 2022
% 0.13/0.36 The command was "./sos". The process ID is 17655.
% 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 =======
% 0.13/0.39
% 0.13/0.39 Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.39
% 0.13/0.39 Stopped by limit on number of solutions
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 -------------- Softie stats --------------
% 0.13/0.39
% 0.13/0.39 UPDATE_STOP: 300
% 0.13/0.39 SFINDER_TIME_LIMIT: 2
% 0.13/0.39 SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.39 number of clauses in intial UL: 35
% 0.13/0.39 number of clauses initially in problem: 49
% 0.13/0.39 percentage of clauses intially in UL: 71
% 0.13/0.39 percentage of distinct symbols occuring in initial UL: 100
% 0.13/0.39 percent of all initial clauses that are short: 100
% 0.13/0.39 absolute distinct symbol count: 10
% 0.13/0.39 distinct predicate count: 6
% 0.13/0.39 distinct function count: 0
% 0.13/0.39 distinct constant count: 4
% 0.13/0.39
% 0.13/0.39 ---------- no more Softie stats ----------
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 =========== start of search ===========
% 7.32/7.55
% 7.32/7.55
% 7.32/7.55 Changing weight limit from 60 to 31.
% 7.32/7.55
% 7.32/7.55 Model 2 (0.00 seconds, 0 Inserts)
% 7.32/7.55
% 7.32/7.55 Stopped by limit on number of solutions
% 7.32/7.55
% 7.32/7.55 Stopped by limit on insertions
% 7.32/7.55
% 7.32/7.55 Stopped by limit on insertions
% 7.32/7.55
% 7.32/7.55 Model 3 [ 2 1 410 ] (0.00 seconds, 250000 Inserts)
% 7.32/7.55
% 7.32/7.55 Stopped by limit on insertions
% 7.32/7.55
% 7.32/7.55 Model 4 [ 3 1 333 ] (0.00 seconds, 250000 Inserts)
% 7.32/7.55
% 7.32/7.55 Stopped by limit on insertions
% 7.32/7.55
% 7.32/7.55 Model 5 [ 2 1 93 ] (0.00 seconds, 250000 Inserts)
% 7.32/7.55
% 7.32/7.55 Stopped by limit on insertions
% 7.32/7.55
% 7.32/7.55 Model 6 [ 3 0 186 ] (0.00 seconds, 250000 Inserts)
% 7.32/7.55
% 7.32/7.55 Stopped by limit on insertions
% 7.32/7.55
% 7.32/7.55 Stopped by limit on insertions
% 7.32/7.55
% 7.32/7.55 Model 7 [ 2 0 4233 ] (0.00 seconds, 250000 Inserts)
% 7.32/7.55
% 7.32/7.55 Stopped by limit on insertions
% 7.32/7.55
% 7.32/7.55 Stopped by limit on insertions
% 7.32/7.55
% 7.32/7.55 Model 8 [ 3 0 337 ] (0.00 seconds, 250000 Inserts)
% 7.32/7.55
% 7.32/7.55 Stopped by limit on insertions
% 7.32/7.55
% 7.32/7.55 Model 9 [ 3 1 1049 ] (0.00 seconds, 250000 Inserts)
% 7.32/7.55
% 7.32/7.55 Stopped by limit on insertions
% 7.32/7.55
% 7.32/7.55 Model 10 [ 4 4 110118 ] (0.00 seconds, 250000 Inserts)
% 7.32/7.55
% 7.32/7.55 Stopped by limit on insertions
% 7.32/7.55
% 7.32/7.55 Model 11 [ 3 1 22271 ] (0.00 seconds, 250000 Inserts)
% 7.32/7.55
% 7.32/7.55 Stopped by limit on insertions
% 7.32/7.55
% 7.32/7.55 Model 12 [ 4 1 3312 ] (0.00 seconds, 250000 Inserts)
% 7.32/7.55
% 7.32/7.55 Stopped by limit on insertions
% 7.32/7.55
% 7.32/7.55 Model 13 [ 6 3 94142 ] (0.00 seconds, 250000 Inserts)
% 7.32/7.55
% 7.32/7.55 Stopped by limit on insertions
% 7.32/7.55
% 7.32/7.55 Model 14 [ 5 7 237041 ] (0.00 seconds, 250000 Inserts)
% 7.32/7.55
% 7.32/7.55 Stopped by limit on insertions
% 7.32/7.55
% 7.32/7.55 Model 15 [ 6 7 196356 ] (0.00 seconds, 250000 Inserts)
% 7.32/7.55
% 7.32/7.55 Stopped by limit on insertions
% 7.32/7.55
% 7.32/7.55 Model 16 [ 8 1 11177 ] (0.00 seconds, 250000 Inserts)
% 7.32/7.55
% 7.32/7.55 Resetting weight limit to 31 after 45 givens.
% 7.32/7.55
% 9.04/9.22
% 9.04/9.22
% 9.04/9.22 Changing weight limit from 31 to 27.
% 9.04/9.22
% 9.04/9.22 Stopped by limit on insertions
% 9.04/9.22
% 9.04/9.22 Model 17 [ 6 4 167233 ] (0.00 seconds, 250000 Inserts)
% 9.04/9.22
% 9.04/9.22 Stopped by limit on insertions
% 9.04/9.22
% 9.04/9.22 Model 18 [ 5 2 40094 ] (0.00 seconds, 250000 Inserts)
% 9.04/9.22
% 9.04/9.22 Stopped by limit on insertions
% 9.04/9.22
% 9.04/9.22 Model 19 [ 7 1 49072 ] (0.00 seconds, 250000 Inserts)
% 9.04/9.22
% 9.04/9.22 Resetting weight limit to 27 after 50 givens.
% 9.04/9.22
% 13.62/13.84
% 13.62/13.84
% 13.62/13.84 Changing weight limit from 27 to 25.
% 13.62/13.84
% 13.62/13.84 Stopped by limit on insertions
% 13.62/13.84
% 13.62/13.84 Model 20 [ 6 3 50516 ] (0.00 seconds, 250000 Inserts)
% 13.62/13.84
% 13.62/13.84 Stopped by limit on insertions
% 13.62/13.84
% 13.62/13.84 Model 21 [ 5 2 61766 ] (0.00 seconds, 250000 Inserts)
% 13.62/13.84
% 13.62/13.84 Stopped by limit on insertions
% 13.62/13.84
% 13.62/13.84 Model 22 [ 5 1 268 ] (0.00 seconds, 250000 Inserts)
% 13.62/13.84
% 13.62/13.84 Resetting weight limit to 25 after 70 givens.
% 13.62/13.84
% 14.85/15.07
% 14.85/15.07
% 14.85/15.07 Changing weight limit from 25 to 21.
% 14.85/15.07
% 14.85/15.07 Stopped by limit on insertions
% 14.85/15.07
% 14.85/15.07 Model 23 [ 16 7 195221 ] (0.00 seconds, 250000 Inserts)
% 14.85/15.07
% 14.85/15.07 Stopped by limit on insertions
% 14.85/15.07
% 14.85/15.07 Model 24 [ 7 0 757 ] (0.00 seconds, 250000 Inserts)
% 14.85/15.07
% 14.85/15.07 Stopped by limit on insertions
% 14.85/15.07
% 14.85/15.07 Stopped by limit on insertions
% 14.85/15.07
% 14.85/15.07 Model 25 [ 5 6 115050 ] (0.00 seconds, 250000 Inserts)
% 14.85/15.07
% 14.85/15.07 Resetting weight limit to 21 after 75 givens.
% 14.85/15.07
% 15.13/15.33
% 15.13/15.33
% 15.13/15.33 Changing weight limit from 21 to 22.
% 15.13/15.33
% 15.13/15.33 Stopped by limit on insertions
% 15.13/15.33
% 15.13/15.33 Model 26 [ 8 2 30894 ] (0.00 seconds, 250000 Inserts)
% 15.13/15.33
% 15.13/15.33 Resetting weight limit to 22 after 80 givens.
% 15.13/15.33
% 15.55/15.78
% 15.55/15.78
% 15.55/15.78 Changing weight limit from 22 to 23.
% 15.55/15.78
% 15.55/15.78 Stopped by limit on insertions
% 15.55/15.78
% 15.55/15.78 Model 27 [ 8 1 327 ] (0.00 seconds, 250000 Inserts)
% 15.55/15.78
% 15.55/15.78 Resetting weight limit to 23 after 85 givens.
% 15.55/15.78
% 16.34/16.56
% 16.34/16.56
% 16.34/16.56 Changing weight limit from 23 to 22.
% 16.34/16.56
% 16.34/16.56 Stopped by limit on insertions
% 16.34/16.56
% 16.34/16.56 Model 28 [ 10 0 182 ] (0.00 seconds, 250000 Inserts)
% 16.34/16.56
% 16.34/16.56 Resetting weight limit to 22 after 90 givens.
% 16.34/16.56
% 18.35/18.56
% 18.35/18.56
% 18.35/18.56 Changing weight limit from 22 to 19.
% 18.35/18.56
% 18.35/18.56 Stopped by limit on insertions
% 18.35/18.56
% 18.35/18.56 Model 29 [ 6 1 6596 ] (0.00 seconds, 250000 Inserts)
% 18.35/18.56
% 18.35/18.56 Stopped by limit on insertions
% 18.35/18.56
% 18.35/18.56 Model 30 [ 10 1 24052 ] (0.00 seconds, 250000 Inserts)
% 18.35/18.56
% 18.35/18.56 Stopped by limit on insertions
% 18.35/18.56
% 18.35/18.56 Model 31 [ 18 1 3322 ] (0.00 seconds, 250000 Inserts)
% 18.35/18.56
% 18.35/18.56 Stopped by limit on insertions
% 18.35/18.56
% 18.35/18.56 Model 32 [ 8 1 878 ] (0.00 seconds, 250000 Inserts)
% 18.35/18.56
% 18.35/18.56 Stopped by limit on insertions
% 18.35/18.56
% 18.35/18.56 Model 33 [ 10 34 239975 ] (0.00 seconds, 250000 Inserts)
% 18.35/18.56
% 18.35/18.56 Resetting weight limit to 19 after 110 givens.
% 18.35/18.56
% 19.11/19.37
% 19.11/19.37
% 19.11/19.37 Changing weight limit from 19 to 20.
% 19.11/19.37
% 19.11/19.37 Stopped by limit on insertions
% 19.11/19.37
% 19.11/19.37 Model 34 [ 10 2 74472 ] (0.00 seconds, 250000 Inserts)
% 19.11/19.37
% 19.11/19.37 Resetting weight limit to 20 after 130 givens.
% 19.11/19.37
% 20.09/20.28
% 20.09/20.28
% 20.09/20.28 Changing weight limit from 20 to 21.
% 20.09/20.28
% 20.09/20.28 Stopped by limit on insertions
% 20.09/20.28
% 20.09/20.28 Model 35 [ 11 9 71481 ] (0.00 seconds, 250000 Inserts)
% 20.09/20.28
% 20.09/20.28 Stopped by limit on insertions
% 20.09/20.28
% 20.09/20.28 Resetting weight limit to 21 after 135 givens.
% 20.09/20.28
% 21.13/21.40
% 21.13/21.40
% 21.13/21.40 Changing weight limit from 21 to 20.
% 21.13/21.40
% 21.13/21.40 Stopped by limit on insertions
% 21.13/21.40
% 21.13/21.40 Model 36 [ 9 1 452 ] (0.00 seconds, 250000 Inserts)
% 21.13/21.40
% 21.13/21.40 Stopped by limit on insertions
% 21.13/21.40
% 21.13/21.40 Model 37 [ 13 1 480 ] (0.00 seconds, 250000 Inserts)
% 21.13/21.40
% 21.13/21.40 Resetting weight limit to 20 after 145 givens.
% 21.13/21.40
% 21.75/21.94
% 21.75/21.94
% 21.75/21.94 Changing weight limit from 20 to 19.
% 21.75/21.94
% 21.75/21.94 Stopped by limit on insertions
% 21.75/21.94
% 21.75/21.94 Model 38 [ 9 3 51705 ] (0.00 seconds, 250000 Inserts)
% 21.75/21.94
% 21.75/21.94 Resetting weight limit to 19 after 150 givens.
% 21.75/21.94
% 22.45/22.68
% 22.45/22.68
% 22.45/22.68 Changing weight limit from 19 to 20.
% 22.45/22.68
% 22.45/22.68 Stopped by limit on insertions
% 22.45/22.68
% 22.45/22.68 Model 39 [ 11 0 1176 ] (0.00 seconds, 250000 Inserts)
% 22.45/22.68
% 22.45/22.68 Resetting weight limit to 20 after 165 givens.
% 22.45/22.68
% 22.45/22.69
% 22.45/22.69 -- HEY sandbox, WE HAVE A PROOF!! --
% 22.45/22.69
% 22.45/22.69 ----> UNIT CONFLICT at 22.29 sec ----> 7457 [binary,7455.1,10.1] {+} $F.
% 22.45/22.69
% 22.45/22.69 Length of proof is 10. Level of proof is 5.
% 22.45/22.69
% 22.45/22.69 ---------------- PROOF ----------------
% 22.45/22.69 % SZS status Unsatisfiable
% 22.45/22.69 % SZS output start Refutation
% 22.45/22.69
% 22.45/22.69 9 [] {-} -equalish(e_1,e_3).
% 22.45/22.69 10 [copy,9,flip.1] {+} -equalish(e_3,e_1).
% 22.45/22.69 11 [] {-} -equalish(e_2,e_3).
% 22.45/22.69 12 [copy,11,flip.1] {+} -equalish(e_3,e_2).
% 22.45/22.69 13 [] {+} -group_element(A)| -group_element(B)|product(A,B,e_1)|product(A,B,e_2)|product(A,B,e_3).
% 22.45/22.69 16 [] {+} -product(A,B,C)| -product(D,B,C)|equalish(A,D).
% 22.45/22.69 18 [] {+} -product(A,B,C)| -product(D,E,C)| -product(F,B,A)| -product(F,E,D)|equalish(B,E).
% 22.45/22.69 33 [factor,18.2.4] {+} -product(A,B,C)| -product(C,D,C)| -product(C,B,A)|equalish(B,D).
% 22.45/22.69 49 [] {+} group_element(e_1).
% 22.45/22.69 50 [] {-} group_element(e_2).
% 22.45/22.69 51 [] {+} group_element(e_3).
% 22.45/22.69 52 [] {+} product(A,A,A).
% 22.45/22.69 113 [hyper,51,13,50] {-} product(e_2,e_3,e_1)|product(e_2,e_3,e_2)|product(e_2,e_3,e_3).
% 22.45/22.69 114 [hyper,51,13,49] {-} product(e_1,e_3,e_1)|product(e_1,e_3,e_2)|product(e_1,e_3,e_3).
% 22.45/22.69 6617 [hyper,113,33,113,52,unit_del,12,factor_simp,factor_simp] {-} product(e_2,e_3,e_1)|product(e_2,e_3,e_3).
% 22.45/22.69 6623 [hyper,6617,16,52,unit_del,12] {+} product(e_2,e_3,e_1).
% 22.45/22.69 7440 [hyper,114,33,114,52,unit_del,10,factor_simp,factor_simp] {-} product(e_1,e_3,e_2)|product(e_1,e_3,e_3).
% 22.45/22.69 7449 [hyper,7440,33,6623,52,unit_del,10] {+} product(e_1,e_3,e_3).
% 22.45/22.69 7455 [hyper,7449,16,52] {-} equalish(e_3,e_1).
% 22.45/22.69 7457 [binary,7455.1,10.1] {+} $F.
% 22.45/22.69
% 22.45/22.69 % SZS output end Refutation
% 22.45/22.69 ------------ end of proof -------------
% 22.45/22.69
% 22.45/22.69
% 22.45/22.69 Search stopped by max_proofs option.
% 22.45/22.69
% 22.45/22.69
% 22.45/22.69 Search stopped by max_proofs option.
% 22.45/22.69
% 22.45/22.69 ============ end of search ============
% 22.45/22.69
% 22.45/22.69 ----------- soft-scott stats ----------
% 22.45/22.69
% 22.45/22.69 true clauses given 53 (32.1%)
% 22.45/22.69 false clauses given 112
% 22.45/22.69
% 22.45/22.69 FALSE TRUE
% 22.45/22.69 4 1 0
% 22.45/22.69 7 1 12
% 22.45/22.69 9 3 16
% 22.45/22.69 10 6 25
% 22.45/22.69 11 50 185
% 22.45/22.69 12 44 99
% 22.45/22.69 13 25 104
% 22.45/22.69 14 8 112
% 22.45/22.69 15 428 769
% 22.45/22.69 16 55 163
% 22.45/22.69 17 132 150
% 22.45/22.69 18 53 274
% 22.45/22.69 19 28 22
% 22.45/22.69 tot: 834 1931 (69.8% true)
% 22.45/22.69
% 22.45/22.69
% 22.45/22.69 Model 39 [ 11 0 1176 ] (0.00 seconds, 250000 Inserts)
% 22.45/22.69
% 22.45/22.69 That finishes the proof of the theorem.
% 22.45/22.69
% 22.45/22.69 Process 17655 finished Mon Jun 13 16:43:04 2022
%------------------------------------------------------------------------------