%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : FLD028-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n029.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 02:27:42 EDT 2022
% Result : Unsatisfiable 19.05s 19.23s
% Output : Refutation 19.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD028-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n029.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 6 16:23:19 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 sandbox2 on n029.cluster.edu,
% 0.19/0.36 Mon Jun 6 16:23:19 2022
% 0.19/0.36 The command was "./sos". The process ID is 9377.
% 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 list(usable).
% 0.19/0.36
% 0.19/0.36 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 0.19/0.36
% 0.19/0.36 This is a non-Horn set without equality. The strategy
% 0.19/0.36 will be ordered hyper_res, ur_res, unit deletion, and
% 0.19/0.36 factoring, with satellites in sos and nuclei in usable.
% 0.19/0.36
% 0.19/0.36 dependent: set(hyper_res).
% 0.19/0.36 dependent: set(factor).
% 0.19/0.36 dependent: set(unit_deletion).
% 0.19/0.36
% 0.19/0.36 ------------> process usable:
% 0.19/0.36
% 0.19/0.36 ------------> process sos:
% 0.19/0.36
% 0.19/0.36 ======= end of input processing =======
% 0.19/0.43
% 0.19/0.43 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.43
% 0.19/0.43 Stopped by limit on number of solutions
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 -------------- Softie stats --------------
% 0.19/0.43
% 0.19/0.43 UPDATE_STOP: 300
% 0.19/0.43 SFINDER_TIME_LIMIT: 2
% 0.19/0.43 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.43 number of clauses in intial UL: 49
% 0.19/0.43 number of clauses initially in problem: 57
% 0.19/0.43 percentage of clauses intially in UL: 85
% 0.19/0.43 percentage of distinct symbols occuring in initial UL: 92
% 0.19/0.43 percent of all initial clauses that are short: 100
% 0.19/0.43 absolute distinct symbol count: 14
% 0.19/0.43 distinct predicate count: 4
% 0.19/0.43 distinct function count: 4
% 0.19/0.43 distinct constant count: 6
% 0.19/0.43
% 0.19/0.43 ---------- no more Softie stats ----------
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.43
% 0.19/0.43 Stopped by limit on number of solutions
% 0.19/0.43
% 0.19/0.43 =========== start of search ===========
% 3.36/3.54
% 3.36/3.54
% 3.36/3.54 Changing weight limit from 60 to 14.
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 3 [ 2 1 283 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 4 [ 2 1 211 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 5 [ 3 1 226 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 6 [ 3 2 389 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 7 [ 3 1 490 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 8 [ 3 3 97955 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 9 [ 3 1 146 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 10 [ 5 1 428 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 11 [ 3 2 298 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 12 [ 3 1 122 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 13 [ 5 2 348 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 14 [ 4 2 449 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 15 [ 15 1 144 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 16 [ 4 2 469 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 17 [ 4 1 654 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 18 [ 17 2 105 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 19 [ 5 1 141 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 20 [ 3 2 3908 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 21 [ 4 1 639 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 22 [ 5 2 11723 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 23 [ 4 3 40382 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 24 [ 6 2 1131 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 25 [ 8 2 549 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 26 [ 4 2 111 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 27 [ 25 2 202 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 28 [ 7 1 133 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 29 [ 25 1 440 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 30 [ 23 1 188 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 31 [ 11 9 206516 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Stopped by limit on insertions
% 3.36/3.54
% 3.36/3.54 Model 32 [ 8 8 133870 ] (0.00 seconds, 250000 Inserts)
% 3.36/3.54
% 3.36/3.54 Resetting weight limit to 14 after 40 givens.
% 3.36/3.54
% 4.91/5.10
% 4.91/5.10
% 4.91/5.10 Changing weight limit from 14 to 12.
% 4.91/5.10
% 4.91/5.10 Stopped by limit on insertions
% 4.91/5.10
% 4.91/5.10 Model 33 [ 31 2 108 ] (0.00 seconds, 250000 Inserts)
% 4.91/5.10
% 4.91/5.10 Stopped by limit on insertions
% 4.91/5.10
% 4.91/5.10 Model 34 [ 28 2 164 ] (0.00 seconds, 250000 Inserts)
% 4.91/5.10
% 4.91/5.10 Stopped by limit on insertions
% 4.91/5.10
% 4.91/5.10 Model 35 [ 11 2 8643 ] (0.00 seconds, 250000 Inserts)
% 4.91/5.10
% 4.91/5.10 Stopped by limit on insertions
% 4.91/5.10
% 4.91/5.10 Model 36 [ 7 1 175 ] (0.00 seconds, 250000 Inserts)
% 4.91/5.10
% 4.91/5.10 Stopped by limit on insertions
% 4.91/5.10
% 4.91/5.10 Model 37 [ 29 2 108 ] (0.00 seconds, 250000 Inserts)
% 4.91/5.10
% 4.91/5.10 Stopped by limit on insertions
% 4.91/5.10
% 4.91/5.10 Model 38 [ 7 1 573 ] (0.00 seconds, 250000 Inserts)
% 4.91/5.10
% 4.91/5.10 Stopped by limit on insertions
% 4.91/5.10
% 4.91/5.10 Model 39 [ 32 1 189 ] (0.00 seconds, 250000 Inserts)
% 4.91/5.10
% 4.91/5.10 Stopped by limit on insertions
% 4.91/5.10
% 4.91/5.10 Model 40 [ 9 1 329 ] (0.00 seconds, 250000 Inserts)
% 4.91/5.10
% 4.91/5.10 Stopped by limit on insertions
% 4.91/5.10
% 4.91/5.10 Model 41 [ 7 1 114 ] (0.00 seconds, 250000 Inserts)
% 4.91/5.10
% 4.91/5.10 Resetting weight limit to 12 after 50 givens.
% 4.91/5.10
% 19.05/19.23
% 19.05/19.23 -- HEY sandbox2, WE HAVE A PROOF!! --
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 42 [ 6 1 117 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 43 [ 5 1 498 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 44 [ 8 2 158 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 45 [ 35 1 426 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 46 [ 16 1 341 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 47 [ 6 1 988 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 48 [ 41 1 255 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 49 [ 45 1 106 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 50 [ 38 2 220 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 51 [ 8 1 188 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 52 [ 7 2 157 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 53 [ 11 1 167 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 54 [ 44 1 152 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 55 [ 39 1 1300 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 56 [ 17 2 516 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 57 [ 9 29 202794 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 58 [ 7 1 112 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 59 [ 9 4 20827 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 60 [ 47 2 18831 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 61 [ 18 2 104 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 62 [ 57 1 196 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 63 [ 11 3 10802 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 64 [ 57 1 137 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 65 [ 19 3 12479 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 66 [ 10 7 43558 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 67 [ 54 1 325 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 68 [ 15 32 196066 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 69 [ 15 21 128661 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 70 [ 10 2 168 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 71 [ 15 2 203 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 72 [ 48 1 253 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 73 [ 13 1 412 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 74 [ 11 1 111 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 75 [ 66 1 189 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 76 [ 58 3 9271 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 77 [ 22 12 88920 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 78 [ 14 8 36426 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 79 [ 63 1 963 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 80 [ 65 1 237 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 81 [ 23 44 219236 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 82 [ 49 1 104 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 83 [ 21 23 96287 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 84 [ 15 1 147 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 85 [ 13 2 570 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 Stopped by limit on insertions
% 19.05/19.23
% 19.05/19.23 Model 86 [ 83 1 168 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 ----> UNIT CONFLICT at 18.79 sec ----> 10941 [binary,10940.1,26.1] {-} $F.
% 19.05/19.23
% 19.05/19.23 Length of proof is 7. Level of proof is 4.
% 19.05/19.23
% 19.05/19.23 ---------------- PROOF ----------------
% 19.05/19.23 % SZS status Unsatisfiable
% 19.05/19.23 % SZS output start Refutation
% 19.05/19.23
% 19.05/19.23 6 [] {+} product(A,B,C)| -product(A,D,E)| -product(D,F,B)| -product(E,F,C).
% 19.05/19.23 7 [] {+} product(A,B,C)| -product(D,E,A)| -product(E,B,F)| -product(D,F,C).
% 19.05/19.23 8 [] {+} product(multiplicative_identity,A,A)| -defined(A).
% 19.05/19.23 9 [] {+} product(multiplicative_inverse(A),A,multiplicative_identity)|sum(additive_identity,A,additive_identity)| -defined(A).
% 19.05/19.23 25 [] {+} -sum(additive_identity,a,additive_identity).
% 19.05/19.23 26 [] {+} -product(multiplicative_identity,u,v).
% 19.05/19.23 51 [] {-} defined(multiplicative_identity).
% 19.05/19.23 52 [] {-} defined(a).
% 19.05/19.23 54 [] {+} defined(u).
% 19.05/19.23 55 [] {+} defined(v).
% 19.05/19.23 56 [] {+} product(a,u,b).
% 19.05/19.23 57 [] {+} product(a,v,b).
% 19.05/19.23 86 [hyper,51,8] {+} product(multiplicative_identity,multiplicative_identity,multiplicative_identity).
% 19.05/19.23 114 [hyper,52,9,unit_del,25] {+} product(multiplicative_inverse(a),a,multiplicative_identity).
% 19.05/19.23 200 [hyper,55,8] {+} product(multiplicative_identity,v,v).
% 19.05/19.23 256 [hyper,54,8] {+} product(multiplicative_identity,u,u).
% 19.05/19.23 4850 [hyper,114,6,56,256] {-} product(multiplicative_inverse(a),b,u).
% 19.05/19.23 10936 [hyper,4850,7,114,57] {+} product(multiplicative_identity,v,u).
% 19.05/19.23 10940 [hyper,10936,6,86,200] {-} product(multiplicative_identity,u,v).
% 19.05/19.23 10941 [binary,10940.1,26.1] {-} $F.
% 19.05/19.23
% 19.05/19.23 % SZS output end Refutation
% 19.05/19.23 ------------ end of proof -------------
% 19.05/19.23
% 19.05/19.23
% 19.05/19.23 Search stopped by max_proofs option.
% 19.05/19.23
% 19.05/19.23
% 19.05/19.23 Search stopped by max_proofs option.
% 19.05/19.23
% 19.05/19.23 ============ end of search ============
% 19.05/19.23
% 19.05/19.23 ----------- soft-scott stats ----------
% 19.05/19.23
% 19.05/19.23 true clauses given 15 (14.3%)
% 19.05/19.23 false clauses given 90
% 19.05/19.23
% 19.05/19.23 FALSE TRUE
% 19.05/19.23 4 41 0
% 19.05/19.23 5 235 1
% 19.05/19.23 6 1246 6
% 19.05/19.23 7 978 4
% 19.05/19.23 8 0 11
% 19.05/19.23 9 0 1
% 19.05/19.23 10 0 23
% 19.05/19.23 12 0 41
% 19.05/19.23 tot: 2500 87 (3.4% true)
% 19.05/19.23
% 19.05/19.23
% 19.05/19.23 Model 86 [ 83 1 168 ] (0.00 seconds, 250000 Inserts)
% 19.05/19.23
% 19.05/19.23 That finishes the proof of the theorem.
% 19.05/19.23
% 19.05/19.23 Process 9377 finished Mon Jun 6 16:23:38 2022
%------------------------------------------------------------------------------