TSTP Solution File: FLD002-3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : FLD002-3 : 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 02:27:32 EDT 2022
% Result : Unsatisfiable 14.20s 14.39s
% Output : Refutation 14.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : FLD002-3 : 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 12:27:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.35 ----- Otter 3.2, August 2001 -----
% 0.18/0.35 The process was started by sandbox2 on n021.cluster.edu,
% 0.18/0.35 Mon Jun 6 12:27:35 2022
% 0.18/0.35 The command was "./sos". The process ID is 21374.
% 0.18/0.35
% 0.18/0.35 set(prolog_style_variables).
% 0.18/0.35 set(auto).
% 0.18/0.35 dependent: set(auto1).
% 0.18/0.35 dependent: set(process_input).
% 0.18/0.35 dependent: clear(print_kept).
% 0.18/0.35 dependent: clear(print_new_demod).
% 0.18/0.35 dependent: clear(print_back_demod).
% 0.18/0.35 dependent: clear(print_back_sub).
% 0.18/0.35 dependent: set(control_memory).
% 0.18/0.35 dependent: assign(max_mem, 12000).
% 0.18/0.35 dependent: assign(pick_given_ratio, 4).
% 0.18/0.35 dependent: assign(stats_level, 1).
% 0.18/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.35 dependent: assign(sos_limit, 5000).
% 0.18/0.35 dependent: assign(max_weight, 60).
% 0.18/0.35 clear(print_given).
% 0.18/0.35
% 0.18/0.35 list(usable).
% 0.18/0.35
% 0.18/0.35 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 0.18/0.35
% 0.18/0.35 This is a non-Horn set without equality. The strategy
% 0.18/0.35 will be ordered hyper_res, ur_res, unit deletion, and
% 0.18/0.35 factoring, with satellites in sos and nuclei in usable.
% 0.18/0.35
% 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: 48
% 0.18/0.43 number of clauses initially in problem: 53
% 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 ===========
% 4.94/5.20
% 4.94/5.20
% 4.94/5.20 Changing weight limit from 60 to 14.
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 3 [ 1 2 250 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 4 [ 2 1 106 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 5 [ 2 2 400 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 6 [ 2 2 1250 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 7 [ 2 1 106 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 8 [ 4 1 446 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 9 [ 8 1 142 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 10 [ 5 1 103 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 11 [ 3 1 512 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 12 [ 5 2 104 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 13 [ 2 1 835 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 14 [ 6 1 110 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 15 [ 6 1 2785 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 16 [ 6 1 474 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 17 [ 5 2 137 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 18 [ 16 1 253 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 19 [ 6 1 249 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 20 [ 8 1 516 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 21 [ 7 1 107 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 22 [ 6 2 104 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 23 [ 18 1 187 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 24 [ 23 1 256 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 25 [ 3 2 384 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 26 [ 3 1 126 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 27 [ 20 2 115 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 28 [ 13 8 124956 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 29 [ 7 1 108 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 30 [ 20 1 224 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 31 [ 10 2 108 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 32 [ 28 1 279 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 33 [ 9 2 23827 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 34 [ 12 2 251 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 35 [ 5 1 122 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 36 [ 29 2 194 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 37 [ 10 1 435 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 38 [ 32 1 170 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 39 [ 11 1 1963 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 40 [ 10 2 20481 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Stopped by limit on insertions
% 4.94/5.20
% 4.94/5.20 Model 41 [ 7 1 707 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.20
% 4.94/5.20 Resetting weight limit to 14 after 50 givens.
% 4.94/5.20
% 6.02/6.20
% 6.02/6.20
% 6.02/6.20 Changing weight limit from 14 to 12.
% 6.02/6.20
% 6.02/6.20 Stopped by limit on insertions
% 6.02/6.20
% 6.02/6.20 Model 42 [ 36 1 189 ] (0.00 seconds, 250000 Inserts)
% 6.02/6.20
% 6.02/6.20 Stopped by limit on insertions
% 6.02/6.20
% 6.02/6.20 Model 43 [ 14 18 182781 ] (0.00 seconds, 250000 Inserts)
% 6.02/6.20
% 6.02/6.20 Stopped by limit on insertions
% 6.02/6.20
% 6.02/6.20 Model 44 [ 8 7 150282 ] (0.00 seconds, 250000 Inserts)
% 6.02/6.20
% 6.02/6.20 Stopped by limit on insertions
% 6.02/6.20
% 6.02/6.20 Model 45 [ 5 2 1024 ] (0.00 seconds, 250000 Inserts)
% 6.02/6.20
% 6.02/6.20 Resetting weight limit to 12 after 55 givens.
% 6.02/6.20
% 8.10/8.34
% 8.10/8.34
% 8.10/8.34 Changing weight limit from 12 to 10.
% 8.10/8.34
% 8.10/8.34 Stopped by limit on insertions
% 8.10/8.34
% 8.10/8.34 Model 46 [ 38 1 426 ] (0.00 seconds, 250000 Inserts)
% 8.10/8.34
% 8.10/8.34 Stopped by limit on insertions
% 8.10/8.34
% 8.10/8.34 Model 47 [ 12 1 105 ] (0.00 seconds, 250000 Inserts)
% 8.10/8.34
% 8.10/8.34 Stopped by limit on insertions
% 8.10/8.34
% 8.10/8.34 Model 48 [ 7 1 137 ] (0.00 seconds, 250000 Inserts)
% 8.10/8.34
% 8.10/8.34 Stopped by limit on insertions
% 8.10/8.34
% 8.10/8.34 Model 49 [ 16 2 10046 ] (0.00 seconds, 250000 Inserts)
% 8.10/8.34
% 8.10/8.34 Stopped by limit on insertions
% 8.10/8.34
% 8.10/8.34 Model 50 [ 49 2 111 ] (0.00 seconds, 250000 Inserts)
% 8.10/8.34
% 8.10/8.34 Stopped by limit on insertions
% 8.10/8.34
% 8.10/8.34 Model 51 [ 10 6 40056 ] (0.00 seconds, 250000 Inserts)
% 8.10/8.34
% 8.10/8.34 Stopped by limit on insertions
% 8.10/8.34
% 8.10/8.34 Model 52 [ 14 2 126 ] (0.00 seconds, 250000 Inserts)
% 8.10/8.34
% 8.10/8.34 Stopped by limit on insertions
% 8.10/8.34
% 8.10/8.34 Model 53 [ 10 1 111 ] (0.00 seconds, 250000 Inserts)
% 8.10/8.34
% 8.10/8.34 Resetting weight limit to 10 after 65 givens.
% 8.10/8.34
% 9.70/9.88
% 9.70/9.88
% 9.70/9.88 Changing weight limit from 10 to 8.
% 9.70/9.88
% 9.70/9.88 Stopped by limit on insertions
% 9.70/9.88
% 9.70/9.88 Model 54 [ 13 2 185 ] (0.00 seconds, 250000 Inserts)
% 9.70/9.88
% 9.70/9.88 Stopped by limit on insertions
% 9.70/9.88
% 9.70/9.88 Model 55 [ 24 1 515 ] (0.00 seconds, 250000 Inserts)
% 9.70/9.88
% 9.70/9.88 Stopped by limit on insertions
% 9.70/9.88
% 9.70/9.88 Model 56 [ 16 2 736 ] (0.00 seconds, 250000 Inserts)
% 9.70/9.88
% 9.70/9.88 Stopped by limit on insertions
% 9.70/9.88
% 9.70/9.88 Model 57 [ 9 2 587 ] (0.00 seconds, 250000 Inserts)
% 9.70/9.88
% 9.70/9.88 Stopped by limit on insertions
% 9.70/9.88
% 9.70/9.88 Model 58 [ 16 1 104 ] (0.00 seconds, 250000 Inserts)
% 9.70/9.88
% 9.70/9.88 Resetting weight limit to 8 after 70 givens.
% 9.70/9.88
% 14.20/14.39
% 14.20/14.39 -- HEY sandbox2, WE HAVE A PROOF!! --
% 14.20/14.39
% 14.20/14.39 Stopped by limit on insertions
% 14.20/14.39
% 14.20/14.39 Model 59 [ 50 1 200 ] (0.00 seconds, 250000 Inserts)
% 14.20/14.39
% 14.20/14.39 Stopped by limit on insertions
% 14.20/14.39
% 14.20/14.39 Model 60 [ 10 2 190 ] (0.00 seconds, 250000 Inserts)
% 14.20/14.39
% 14.20/14.39 Stopped by limit on insertions
% 14.20/14.39
% 14.20/14.39 Model 61 [ 16 1 699 ] (0.00 seconds, 250000 Inserts)
% 14.20/14.39
% 14.20/14.39 Stopped by limit on insertions
% 14.20/14.39
% 14.20/14.39 Model 62 [ 15 1 133 ] (0.00 seconds, 250000 Inserts)
% 14.20/14.39
% 14.20/14.39 Stopped by limit on insertions
% 14.20/14.39
% 14.20/14.39 Stopped by limit on insertions
% 14.20/14.39
% 14.20/14.39 Model 63 [ 12 1 648 ] (0.00 seconds, 250000 Inserts)
% 14.20/14.39
% 14.20/14.39 Stopped by limit on insertions
% 14.20/14.39
% 14.20/14.39 Model 64 [ 19 2 163 ] (0.00 seconds, 250000 Inserts)
% 14.20/14.39
% 14.20/14.39 Stopped by limit on insertions
% 14.20/14.39
% 14.20/14.39 Model 65 [ 17 8 43440 ] (0.00 seconds, 250000 Inserts)
% 14.20/14.39
% 14.20/14.39 Stopped by limit on insertions
% 14.20/14.39
% 14.20/14.39 Model 66 [ 55 2 236 ] (0.00 seconds, 250000 Inserts)
% 14.20/14.39
% 14.20/14.39 Stopped by limit on insertions
% 14.20/14.39
% 14.20/14.39 Model 67 [ 20 13 62516 ] (0.00 seconds, 250000 Inserts)
% 14.20/14.39
% 14.20/14.39 Stopped by limit on insertions
% 14.20/14.39
% 14.20/14.39 Model 68 [ 19 1 692 ] (0.00 seconds, 250000 Inserts)
% 14.20/14.39
% 14.20/14.39 Stopped by limit on insertions
% 14.20/14.39
% 14.20/14.39 Model 69 [ 13 1 173 ] (0.00 seconds, 250000 Inserts)
% 14.20/14.39
% 14.20/14.39 ----> UNIT CONFLICT at 13.98 sec ----> 6782 [binary,6781.1,25.1] {+} $F.
% 14.20/14.39
% 14.20/14.39 Length of proof is 7. Level of proof is 3.
% 14.20/14.39
% 14.20/14.39 ---------------- PROOF ----------------
% 14.20/14.39 % SZS status Unsatisfiable
% 14.20/14.39 % SZS output start Refutation
% 14.20/14.39
% 14.20/14.39 3 [] {+} sum(additive_identity,A,A)| -defined(A).
% 14.20/14.39 8 [] {+} product(multiplicative_identity,A,A)| -defined(A).
% 14.20/14.39 10 [] {+} product(A,B,C)| -product(B,A,C).
% 14.20/14.39 11 [] {+} sum(A,B,C)| -sum(D,E,F)| -product(F,G,C)| -product(D,G,A)| -product(E,G,B).
% 14.20/14.39 25 [] {+} -sum(additive_identity,a,b).
% 14.20/14.39 49 [] {+} defined(additive_identity).
% 14.20/14.39 51 [] {+} defined(a).
% 14.20/14.39 53 [] {+} product(multiplicative_identity,a,b).
% 14.20/14.39 62 [hyper,49,8] {+} product(multiplicative_identity,additive_identity,additive_identity).
% 14.20/14.39 149 [hyper,51,8] {+} product(multiplicative_identity,a,a).
% 14.20/14.39 151 [hyper,51,3] {+} sum(additive_identity,a,a).
% 14.20/14.39 152 [hyper,53,10] {+} product(a,multiplicative_identity,b).
% 14.20/14.39 1472 [hyper,62,10] {+} product(additive_identity,multiplicative_identity,additive_identity).
% 14.20/14.39 1641 [hyper,149,10] {+} product(a,multiplicative_identity,a).
% 14.20/14.39 6781 [hyper,1472,11,151,152,1641] {-} sum(additive_identity,a,b).
% 14.20/14.39 6782 [binary,6781.1,25.1] {+} $F.
% 14.20/14.39
% 14.20/14.39 % SZS output end Refutation
% 14.20/14.39 ------------ end of proof -------------
% 14.20/14.39
% 14.20/14.39
% 14.20/14.39 Search stopped by max_proofs option.
% 14.20/14.39
% 14.20/14.39
% 14.20/14.39 Search stopped by max_proofs option.
% 14.20/14.39
% 14.20/14.39 ============ end of search ============
% 14.20/14.39
% 14.20/14.39 ----------- soft-scott stats ----------
% 14.20/14.39
% 14.20/14.39 true clauses given 21 (21.6%)
% 14.20/14.39 false clauses given 76
% 14.20/14.39
% 14.20/14.39 FALSE TRUE
% 14.20/14.39 5 10 98
% 14.20/14.39 6 114 585
% 14.20/14.39 7 18 743
% 14.20/14.39 8 46 1111
% 14.20/14.39 tot: 188 2537 (93.1% true)
% 14.20/14.39
% 14.20/14.39
% 14.20/14.39 Model 69 [ 13 1 173 ] (0.00 seconds, 250000 Inserts)
% 14.20/14.39
% 14.20/14.39 That finishes the proof of the theorem.
% 14.20/14.39
% 14.20/14.39 Process 21374 finished Mon Jun 6 12:27:49 2022
%------------------------------------------------------------------------------