TSTP Solution File: FLD027-3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : FLD027-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n021.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 02:27:41 EDT 2022
% Result : Unsatisfiable 29.70s 29.93s
% Output : Refutation 29.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD027-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 6 21:36:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 ----- Otter 3.2, August 2001 -----
% 0.12/0.35 The process was started by sandbox2 on n021.cluster.edu,
% 0.12/0.35 Mon Jun 6 21:36:35 2022
% 0.12/0.35 The command was "./sos". The process ID is 709.
% 0.12/0.35
% 0.12/0.35 set(prolog_style_variables).
% 0.12/0.35 set(auto).
% 0.12/0.35 dependent: set(auto1).
% 0.12/0.35 dependent: set(process_input).
% 0.12/0.35 dependent: clear(print_kept).
% 0.12/0.35 dependent: clear(print_new_demod).
% 0.12/0.35 dependent: clear(print_back_demod).
% 0.12/0.35 dependent: clear(print_back_sub).
% 0.12/0.35 dependent: set(control_memory).
% 0.12/0.35 dependent: assign(max_mem, 12000).
% 0.12/0.35 dependent: assign(pick_given_ratio, 4).
% 0.12/0.35 dependent: assign(stats_level, 1).
% 0.12/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35 dependent: assign(sos_limit, 5000).
% 0.12/0.35 dependent: assign(max_weight, 60).
% 0.12/0.35 clear(print_given).
% 0.12/0.35
% 0.12/0.35 list(usable).
% 0.12/0.35
% 0.12/0.35 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 0.12/0.35
% 0.12/0.35 This is a non-Horn set without equality. The strategy
% 0.12/0.35 will be ordered hyper_res, ur_res, unit deletion, and
% 0.12/0.35 factoring, with satellites in sos and nuclei in usable.
% 0.12/0.35
% 0.18/0.35 dependent: set(hyper_res).
% 0.18/0.35 dependent: set(factor).
% 0.18/0.35 dependent: set(unit_deletion).
% 0.18/0.35
% 0.18/0.35 ------------> process usable:
% 0.18/0.35
% 0.18/0.35 ------------> process sos:
% 0.18/0.35
% 0.18/0.35 ======= end of input processing =======
% 0.18/0.43
% 0.18/0.43 Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.43
% 0.18/0.43 Stopped by limit on number of solutions
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 -------------- Softie stats --------------
% 0.18/0.43
% 0.18/0.43 UPDATE_STOP: 300
% 0.18/0.43 SFINDER_TIME_LIMIT: 2
% 0.18/0.43 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.43 number of clauses in intial UL: 50
% 0.18/0.43 number of clauses initially in problem: 55
% 0.18/0.43 percentage of clauses intially in UL: 90
% 0.18/0.43 percentage of distinct symbols occuring in initial UL: 100
% 0.18/0.43 percent of all initial clauses that are short: 100
% 0.18/0.43 absolute distinct symbol count: 12
% 0.18/0.43 distinct predicate count: 4
% 0.18/0.43 distinct function count: 4
% 0.18/0.43 distinct constant count: 4
% 0.18/0.43
% 0.18/0.43 ---------- no more Softie stats ----------
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.43
% 0.18/0.43 Stopped by limit on number of solutions
% 0.18/0.43
% 0.18/0.43 =========== start of search ===========
% 4.94/5.12
% 4.94/5.12
% 4.94/5.12 Changing weight limit from 60 to 15.
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 3 [ 3 2 142 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 4 [ 3 1 500 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 5 [ 3 1 417 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 6 [ 7 2 265 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 7 [ 7 1 236 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 8 [ 3 1 444 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 9 [ 3 2 483 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 10 [ 3 2 529 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 11 [ 3 2 702 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 12 [ 3 2 256 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 13 [ 4 2 569 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 14 [ 3 1 799 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 15 [ 4 2 2838 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 16 [ 4 1 316 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 17 [ 18 1 174 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 18 [ 3 1 2823 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 19 [ 7 1 380 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 20 [ 22 1 106 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 21 [ 7 1 895 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 22 [ 5 1 954 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 23 [ 5 7 210056 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 24 [ 7 1 597 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Stopped by limit on insertions
% 4.94/5.12
% 4.94/5.12 Model 25 [ 6 8 134708 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.12
% 4.94/5.12 Resetting weight limit to 15 after 40 givens.
% 4.94/5.12
% 6.15/6.42
% 6.15/6.42
% 6.15/6.42 Changing weight limit from 15 to 12.
% 6.15/6.42
% 6.15/6.42 Stopped by limit on insertions
% 6.15/6.42
% 6.15/6.42 Model 26 [ 9 4 38221 ] (0.00 seconds, 250000 Inserts)
% 6.15/6.42
% 6.15/6.42 Stopped by limit on insertions
% 6.15/6.42
% 6.15/6.42 Model 27 [ 6 1 275 ] (0.00 seconds, 250000 Inserts)
% 6.15/6.42
% 6.15/6.42 Stopped by limit on insertions
% 6.15/6.42
% 6.15/6.42 Model 28 [ 27 1 1718 ] (0.00 seconds, 250000 Inserts)
% 6.15/6.42
% 6.15/6.42 Stopped by limit on insertions
% 6.15/6.42
% 6.15/6.42 Model 29 [ 8 8 113936 ] (0.00 seconds, 250000 Inserts)
% 6.15/6.42
% 6.15/6.42 Stopped by limit on insertions
% 6.15/6.42
% 6.15/6.42 Model 30 [ 7 2 440 ] (0.00 seconds, 250000 Inserts)
% 6.15/6.42
% 6.15/6.42 Resetting weight limit to 12 after 45 givens.
% 6.15/6.42
% 9.96/10.16
% 9.96/10.16
% 9.96/10.16 Changing weight limit from 12 to 10.
% 9.96/10.16
% 9.96/10.16 Stopped by limit on insertions
% 9.96/10.16
% 9.96/10.16 Model 31 [ 32 1 844 ] (0.00 seconds, 250000 Inserts)
% 9.96/10.16
% 9.96/10.16 Stopped by limit on insertions
% 9.96/10.16
% 9.96/10.16 Model 32 [ 8 3 18661 ] (0.00 seconds, 250000 Inserts)
% 9.96/10.16
% 9.96/10.16 Stopped by limit on insertions
% 9.96/10.16
% 9.96/10.16 Model 33 [ 11 1 105 ] (0.00 seconds, 250000 Inserts)
% 9.96/10.16
% 9.96/10.16 Stopped by limit on insertions
% 9.96/10.16
% 9.96/10.16 Model 34 [ 10 1 557 ] (0.00 seconds, 250000 Inserts)
% 9.96/10.16
% 9.96/10.16 Stopped by limit on insertions
% 9.96/10.16
% 9.96/10.16 Model 35 [ 33 2 166 ] (0.00 seconds, 250000 Inserts)
% 9.96/10.16
% 9.96/10.16 Stopped by limit on insertions
% 9.96/10.16
% 9.96/10.16 Model 36 [ 11 10 147062 ] (0.00 seconds, 250000 Inserts)
% 9.96/10.16
% 9.96/10.16 Stopped by limit on insertions
% 9.96/10.16
% 9.96/10.16 Model 37 [ 13 2 13374 ] (0.00 seconds, 250000 Inserts)
% 9.96/10.16
% 9.96/10.16 Stopped by limit on insertions
% 9.96/10.16
% 9.96/10.16 Stopped by limit on insertions
% 9.96/10.16
% 9.96/10.16 Model 38 [ 11 2 475 ] (0.00 seconds, 250000 Inserts)
% 9.96/10.16
% 9.96/10.16 Stopped by limit on insertions
% 9.96/10.16
% 9.96/10.16 Model 39 [ 44 1 104 ] (0.00 seconds, 250000 Inserts)
% 9.96/10.16
% 9.96/10.16 Stopped by limit on insertions
% 9.96/10.16
% 9.96/10.16 Model 40 [ 37 1 276 ] (0.00 seconds, 250000 Inserts)
% 9.96/10.16
% 9.96/10.16 Stopped by limit on insertions
% 9.96/10.16
% 9.96/10.16 Model 41 [ 14 1 211 ] (0.00 seconds, 250000 Inserts)
% 9.96/10.16
% 9.96/10.16 Stopped by limit on insertions
% 9.96/10.16
% 9.96/10.16 Model 42 [ 11 2 311 ] (0.00 seconds, 250000 Inserts)
% 9.96/10.16
% 9.96/10.16 Stopped by limit on insertions
% 9.96/10.16
% 9.96/10.16 Model 43 [ 16 2 709 ] (0.00 seconds, 250000 Inserts)
% 9.96/10.16
% 9.96/10.16 Stopped by limit on insertions
% 9.96/10.16
% 9.96/10.16 Model 44 [ 11 1 147 ] (0.00 seconds, 250000 Inserts)
% 9.96/10.16
% 9.96/10.16 Resetting weight limit to 10 after 65 givens.
% 9.96/10.16
% 17.93/18.13
% 17.93/18.13
% 17.93/18.13 Changing weight limit from 10 to 11.
% 17.93/18.13
% 17.93/18.13 Stopped by limit on insertions
% 17.93/18.13
% 17.93/18.13 Model 45 [ 46 2 199 ] (0.00 seconds, 250000 Inserts)
% 17.93/18.13
% 17.93/18.13 Stopped by limit on insertions
% 17.93/18.13
% 17.93/18.13 Model 46 [ 22 10 71784 ] (0.00 seconds, 250000 Inserts)
% 17.93/18.13
% 17.93/18.13 Stopped by limit on insertions
% 17.93/18.13
% 17.93/18.13 Model 47 [ 17 2 221 ] (0.00 seconds, 250000 Inserts)
% 17.93/18.13
% 17.93/18.13 Stopped by limit on insertions
% 17.93/18.13
% 17.93/18.13 Model 48 [ 12 5 24817 ] (0.00 seconds, 250000 Inserts)
% 17.93/18.13
% 17.93/18.13 Stopped by limit on insertions
% 17.93/18.13
% 17.93/18.13 Model 49 [ 49 1 453 ] (0.00 seconds, 250000 Inserts)
% 17.93/18.13
% 17.93/18.13 Stopped by limit on insertions
% 17.93/18.13
% 17.93/18.13 Model 50 [ 45 1 106 ] (0.00 seconds, 250000 Inserts)
% 17.93/18.13
% 17.93/18.13 Stopped by limit on insertions
% 17.93/18.13
% 17.93/18.13 Stopped by limit on insertions
% 17.93/18.13
% 17.93/18.13 Model 51 [ 17 1 102 ] (0.00 seconds, 250000 Inserts)
% 17.93/18.13
% 17.93/18.13 Stopped by limit on insertions
% 17.93/18.13
% 17.93/18.13 Model 52 [ 14 2 342 ] (0.00 seconds, 250000 Inserts)
% 17.93/18.13
% 17.93/18.13 Stopped by limit on insertions
% 17.93/18.13
% 17.93/18.13 Model 53 [ 51 1 209 ] (0.00 seconds, 250000 Inserts)
% 17.93/18.13
% 17.93/18.13 Stopped by limit on insertions
% 17.93/18.13
% 17.93/18.13 Model 54 [ 15 11 72561 ] (0.00 seconds, 250000 Inserts)
% 17.93/18.13
% 17.93/18.13 Stopped by limit on insertions
% 17.93/18.13
% 17.93/18.13 Model 55 [ 52 10 41766 ] (0.00 seconds, 250000 Inserts)
% 17.93/18.13
% 17.93/18.13 Stopped by limit on insertions
% 17.93/18.13
% 17.93/18.13 Model 56 [ 22 1 823 ] (0.00 seconds, 250000 Inserts)
% 17.93/18.13
% 17.93/18.13 Stopped by limit on insertions
% 17.93/18.13
% 17.93/18.13 Model 57 [ 18 9 53414 ] (0.00 seconds, 250000 Inserts)
% 17.93/18.13
% 17.93/18.13 Stopped by limit on insertions
% 17.93/18.13
% 17.93/18.13 Stopped by limit on insertions
% 17.93/18.13
% 17.93/18.13 Model 58 [ 57 1 103 ] (0.00 seconds, 250000 Inserts)
% 17.93/18.13
% 17.93/18.13 Stopped by limit on insertions
% 17.93/18.13
% 17.93/18.13 Model 59 [ 19 4 93776 ] (0.00 seconds, 250000 Inserts)
% 17.93/18.13
% 17.93/18.13 Stopped by limit on insertions
% 17.93/18.13
% 17.93/18.13 Model 60 [ 16 2 602 ] (0.00 seconds, 250000 Inserts)
% 17.93/18.13
% 17.93/18.13 Stopped by limit on insertions
% 17.93/18.13
% 17.93/18.13 Stopped by limit on insertions
% 17.93/18.13
% 17.93/18.13 Model 61 [ 61 5 16766 ] (0.00 seconds, 250000 Inserts)
% 17.93/18.13
% 17.93/18.13 Stopped by limit on insertions
% 17.93/18.13
% 17.93/18.13 Model 62 [ 52 41 148108 ] (0.00 seconds, 250000 Inserts)
% 17.93/18.13
% 17.93/18.13 Resetting weight limit to 11 after 95 givens.
% 17.93/18.13
% 18.23/18.46
% 18.23/18.46
% 18.23/18.46 Changing weight limit from 11 to 10.
% 18.23/18.46
% 18.23/18.46 Stopped by limit on insertions
% 18.23/18.46
% 18.23/18.46 Resetting weight limit to 10 after 100 givens.
% 18.23/18.46
% 29.70/29.93
% 29.70/29.93 -- HEY sandbox2, WE HAVE A PROOF!! --
% 29.70/29.93
% 29.70/29.93 Stopped by limit on insertions
% 29.70/29.93
% 29.70/29.93 Stopped by limit on insertions
% 29.70/29.93
% 29.70/29.93 Model 63 [ 25 2 355 ] (0.00 seconds, 250000 Inserts)
% 29.70/29.93
% 29.70/29.93 Stopped by limit on insertions
% 29.70/29.93
% 29.70/29.93 Model 64 [ 59 61 229078 ] (0.00 seconds, 250000 Inserts)
% 29.70/29.93
% 29.70/29.93 Stopped by limit on insertions
% 29.70/29.93
% 29.70/29.93 Model 65 [ 18 1 247 ] (0.00 seconds, 250000 Inserts)
% 29.70/29.93
% 29.70/29.93 Stopped by limit on insertions
% 29.70/29.93
% 29.70/29.93 Model 66 [ 32 2 188 ] (0.00 seconds, 250000 Inserts)
% 29.70/29.93
% 29.70/29.93 Stopped by limit on insertions
% 29.70/29.93
% 29.70/29.93 Model 67 [ 26 3 4201 ] (0.00 seconds, 250000 Inserts)
% 29.70/29.93
% 29.70/29.93 Stopped by limit on insertions
% 29.70/29.93
% 29.70/29.93 Model 68 [ 58 2 119 ] (0.00 seconds, 250000 Inserts)
% 29.70/29.93
% 29.70/29.93 Stopped by limit on insertions
% 29.70/29.93
% 29.70/29.93 Model 69 [ 24 2 112 ] (0.00 seconds, 250000 Inserts)
% 29.70/29.93
% 29.70/29.93 Stopped by limit on insertions
% 29.70/29.93
% 29.70/29.93 Model 70 [ 62 40 140872 ] (0.00 seconds, 250000 Inserts)
% 29.70/29.93
% 29.70/29.93 Stopped by limit on insertions
% 29.70/29.93
% 29.70/29.93 Model 71 [ 59 1 195 ] (0.00 seconds, 250000 Inserts)
% 29.70/29.93
% 29.70/29.93 Stopped by limit on insertions
% 29.70/29.93
% 29.70/29.93 Model 72 [ 27 5 10587 ] (0.00 seconds, 250000 Inserts)
% 29.70/29.93
% 29.70/29.93 Stopped by limit on insertions
% 29.70/29.93
% 29.70/29.93 Model 73 [ 61 2 109 ] (0.00 seconds, 250000 Inserts)
% 29.70/29.93
% 29.70/29.93 Stopped by limit on insertions
% 29.70/29.93
% 29.70/29.93 Model 74 [ 69 83 229762 ] (0.00 seconds, 250000 Inserts)
% 29.70/29.93
% 29.70/29.93 Stopped by limit on insertions
% 29.70/29.93
% 29.70/29.93 Model 75 [ 29 32 227890 ] (0.00 seconds, 250000 Inserts)
% 29.70/29.93
% 29.70/29.93 Stopped by limit on insertions
% 29.70/29.93
% 29.70/29.93 Model 76 [ 79 2 234 ] (0.00 seconds, 250000 Inserts)
% 29.70/29.93
% 29.70/29.93 Stopped by limit on insertions
% 29.70/29.93
% 29.70/29.93 Model 77 [ 24 17 70314 ] (0.00 seconds, 250000 Inserts)
% 29.70/29.93
% 29.70/29.93 Stopped by limit on insertions
% 29.70/29.93
% 29.70/29.93 Model 78 [ 70 2 174 ] (0.00 seconds, 250000 Inserts)
% 29.70/29.93
% 29.70/29.93 Stopped by limit on insertions
% 29.70/29.93
% 29.70/29.93 Model 79 [ 29 7 29597 ] (0.00 seconds, 250000 Inserts)
% 29.70/29.93
% 29.70/29.93 Stopped by limit on insertions
% 29.70/29.93
% 29.70/29.93 ----> UNIT CONFLICT at 29.49 sec ----> 20134 [binary,20133.1,27.1] {+} $F.
% 29.70/29.93
% 29.70/29.93 Length of proof is 8. Level of proof is 3.
% 29.70/29.93
% 29.70/29.93 ---------------- PROOF ----------------
% 29.70/29.93 % SZS status Unsatisfiable
% 29.70/29.93 % SZS output start Refutation
% 29.70/29.93
% 29.70/29.93 7 [] {+} product(A,B,C)| -product(D,E,A)| -product(E,B,F)| -product(D,F,C).
% 29.70/29.93 8 [] {+} product(multiplicative_identity,A,A)| -defined(A).
% 29.70/29.93 9 [] {+} product(multiplicative_inverse(A),A,multiplicative_identity)|sum(additive_identity,A,additive_identity)| -defined(A).
% 29.70/29.93 10 [] {+} product(A,B,C)| -product(B,A,C).
% 29.70/29.93 25 [] {+} -sum(additive_identity,a,additive_identity).
% 29.70/29.93 26 [] {+} -sum(additive_identity,b,additive_identity).
% 29.70/29.93 27 [] {+} -product(multiplicative_identity,a,b).
% 29.70/29.93 52 [] {-} defined(multiplicative_identity).
% 29.70/29.93 53 [] {-} defined(a).
% 29.70/29.93 54 [] {-} defined(b).
% 29.70/29.93 55 [] {-} product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(b)).
% 29.70/29.93 84 [hyper,52,8] {+} product(multiplicative_identity,multiplicative_identity,multiplicative_identity).
% 29.70/29.93 112 [hyper,53,9,unit_del,25] {+} product(multiplicative_inverse(a),a,multiplicative_identity).
% 29.70/29.93 150 [hyper,54,9,unit_del,26] {+} product(multiplicative_inverse(b),b,multiplicative_identity).
% 29.70/29.93 151 [hyper,54,8] {+} product(multiplicative_identity,b,b).
% 29.70/29.93 2380 [hyper,151,10] {+} product(b,multiplicative_identity,b).
% 29.70/29.93 4691 [hyper,112,7,55,84] {-} product(multiplicative_inverse(b),a,multiplicative_identity).
% 29.70/29.93 6101 [hyper,150,10] {-} product(b,multiplicative_inverse(b),multiplicative_identity).
% 29.70/29.93 20133 [hyper,6101,7,4691,2380] {-} product(multiplicative_identity,a,b).
% 29.70/29.93 20134 [binary,20133.1,27.1] {+} $F.
% 29.70/29.93
% 29.70/29.93 % SZS output end Refutation
% 29.70/29.93 ------------ end of proof -------------
% 29.70/29.93
% 29.70/29.93
% 29.70/29.93 Search stopped by max_proofs option.
% 29.70/29.93
% 29.70/29.93
% 29.70/29.93 Search stopped by max_proofs option.
% 29.70/29.93
% 29.70/29.93 ============ end of search ============
% 29.70/29.93
% 29.70/29.93 ----------- soft-scott stats ----------
% 29.70/29.93
% 29.70/29.93 true clauses given 27 (17.6%)
% 29.70/29.93 false clauses given 126
% 29.70/29.93
% 29.70/29.93 FALSE TRUE
% 29.70/29.93 5 7 103
% 29.70/29.93 6 56 771
% 29.70/29.93 7 27 1658
% 29.70/29.93 8 60 50
% 29.70/29.93 9 0 310
% 29.70/29.93 10 3 339
% 29.70/29.93 tot: 153 3231 (95.5% true)
% 29.70/29.93
% 29.70/29.93
% 29.70/29.93 Model 79 [ 29 -50 29597 ] (0.00 seconds, 250000 Inserts)
% 29.70/29.93
% 29.70/29.93 That finishes the proof of the theorem.
% 29.70/29.93
% 29.70/29.93 Process 709 finished Mon Jun 6 21:37:05 2022
%------------------------------------------------------------------------------