TSTP Solution File: SET411-6 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET411-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n010.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 : Tue Jul 19 05:18:00 EDT 2022
% Result : Unsatisfiable 13.64s 13.84s
% Output : Refutation 13.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SET411-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : sos-script %s
% 0.12/0.35 % Computer : n010.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 600
% 0.12/0.35 % DateTime : Sat Jul 9 22:45:15 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.12/0.37 ----- Otter 3.2, August 2001 -----
% 0.12/0.37 The process was started by sandbox2 on n010.cluster.edu,
% 0.12/0.37 Sat Jul 9 22:45:16 2022
% 0.12/0.37 The command was "./sos". The process ID is 19515.
% 0.12/0.37
% 0.12/0.37 set(prolog_style_variables).
% 0.12/0.37 set(auto).
% 0.12/0.37 dependent: set(auto1).
% 0.12/0.37 dependent: set(process_input).
% 0.12/0.37 dependent: clear(print_kept).
% 0.12/0.37 dependent: clear(print_new_demod).
% 0.12/0.37 dependent: clear(print_back_demod).
% 0.12/0.37 dependent: clear(print_back_sub).
% 0.12/0.37 dependent: set(control_memory).
% 0.12/0.37 dependent: assign(max_mem, 12000).
% 0.12/0.37 dependent: assign(pick_given_ratio, 4).
% 0.12/0.37 dependent: assign(stats_level, 1).
% 0.12/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.37 dependent: assign(sos_limit, 5000).
% 0.12/0.37 dependent: assign(max_weight, 60).
% 0.12/0.37 clear(print_given).
% 0.12/0.37
% 0.12/0.37 list(usable).
% 0.12/0.37
% 0.12/0.37 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.12/0.37
% 0.12/0.37 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.37 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.37 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.37 clauses in usable.
% 0.12/0.37
% 0.12/0.37 dependent: set(knuth_bendix).
% 0.12/0.37 dependent: set(para_from).
% 0.12/0.37 dependent: set(para_into).
% 0.12/0.37 dependent: clear(para_from_right).
% 0.12/0.37 dependent: clear(para_into_right).
% 0.12/0.37 dependent: set(para_from_vars).
% 0.12/0.37 dependent: set(eq_units_both_ways).
% 0.12/0.37 dependent: set(dynamic_demod_all).
% 0.12/0.37 dependent: set(dynamic_demod).
% 0.12/0.37 dependent: set(order_eq).
% 0.12/0.37 dependent: set(back_demod).
% 0.12/0.37 dependent: set(lrpo).
% 0.12/0.37 dependent: set(hyper_res).
% 0.12/0.37 dependent: set(unit_deletion).
% 0.12/0.37 dependent: set(factor).
% 0.12/0.37
% 0.12/0.37 ------------> process usable:
% 0.12/0.37
% 0.12/0.37 ------------> process sos:
% 0.12/0.37 Following clause subsumed by 164 during input processing: 0 [copy,164,flip.1] {-} A=A.
% 0.12/0.37 164 back subsumes 74.
% 0.12/0.37
% 0.12/0.37 ======= end of input processing =======
% 0.58/0.84
% 0.58/0.84 Model 1 (0.00 seconds, 0 Inserts)
% 0.58/0.84
% 0.58/0.84 Stopped by limit on number of solutions
% 0.58/0.84
% 0.58/0.84
% 0.58/0.84 -------------- Softie stats --------------
% 0.58/0.84
% 0.58/0.84 UPDATE_STOP: 300
% 0.58/0.84 SFINDER_TIME_LIMIT: 2
% 0.58/0.84 SHORT_CLAUSE_CUTOFF: 4
% 0.58/0.84 number of clauses in intial UL: 60
% 0.58/0.84 number of clauses initially in problem: 145
% 0.58/0.84 percentage of clauses intially in UL: 41
% 0.58/0.84 percentage of distinct symbols occuring in initial UL: 62
% 0.58/0.84 percent of all initial clauses that are short: 100
% 0.58/0.84 absolute distinct symbol count: 59
% 0.58/0.84 distinct predicate count: 11
% 0.58/0.84 distinct function count: 34
% 0.58/0.84 distinct constant count: 14
% 0.58/0.84
% 0.58/0.84 ---------- no more Softie stats ----------
% 0.58/0.84
% 0.58/0.84
% 0.58/0.84
% 0.58/0.84 Stopped by limit on insertions
% 0.58/0.84
% 0.58/0.84 =========== start of search ===========
% 13.64/13.84
% 13.64/13.84 -- HEY sandbox2, WE HAVE A PROOF!! --
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Model 2 [ 7 2 16126 ] (0.00 seconds, 250000 Inserts)
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Model 3 [ 20 1 13265 ] (0.00 seconds, 250000 Inserts)
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Model 4 [ 18 2 16730 ] (0.00 seconds, 250000 Inserts)
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Model 5 [ 14 1 5901 ] (0.00 seconds, 250000 Inserts)
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Model 6 [ 17 2 18637 ] (0.00 seconds, 250000 Inserts)
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Model 7 [ 33 1 9436 ] (0.00 seconds, 250000 Inserts)
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Model 8 [ 41 2 4583 ] (0.00 seconds, 250000 Inserts)
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Model 9 [ 45 2 19724 ] (0.00 seconds, 250000 Inserts)
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Model 10 [ 42 1 2385 ] (0.00 seconds, 250000 Inserts)
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Model 11 [ 28 1 4568 ] (0.00 seconds, 250000 Inserts)
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Model 12 [ 58 1 9495 ] (0.00 seconds, 250000 Inserts)
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Model 13 [ 66 1 1277 ] (0.00 seconds, 250000 Inserts)
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Model 14 [ 56 1 9219 ] (0.00 seconds, 250000 Inserts)
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Model 15 [ 37 2 10152 ] (0.00 seconds, 250000 Inserts)
% 13.64/13.84
% 13.64/13.84 Stopped by limit on insertions
% 13.64/13.84
% 13.64/13.84 Model 16 [ 64 1 2268 ] (0.00 seconds, 250000 Inserts)
% 13.64/13.84
% 13.64/13.84 ----> UNIT CONFLICT at 13.43 sec ----> 10618 [binary,10617.1,73.1] {-} $F.
% 13.64/13.84
% 13.64/13.84 Length of proof is 4. Level of proof is 4.
% 13.64/13.84
% 13.64/13.84 ---------------- PROOF ----------------
% 13.64/13.84 % SZS status Unsatisfiable
% 13.64/13.84 % SZS output start Refutation
% 13.64/13.84
% 13.64/13.84 1 [] {+} -subclass(A,B)| -member(C,A)|member(C,B).
% 13.64/13.84 13 [] {+} -member(ordered_pair(A,B),element_relation)|member(A,B).
% 13.64/13.84 16 [] {+} -member(A,intersection(B,C))|member(A,C).
% 13.64/13.84 73 [] {+} -member(x,universal_class).
% 13.64/13.84 83 [] {-} subclass(A,universal_class).
% 13.64/13.84 160 [] {-} intersection(complement(compose(element_relation,complement(identity_relation))),element_relation)=singleton_relation.
% 13.64/13.84 163 [] {-} member(ordered_pair(x,y),singleton_relation).
% 13.64/13.84 10263 [para_from,160.1.1,16.1.2] {+} -member(A,singleton_relation)|member(A,element_relation).
% 13.64/13.84 10267 [hyper,10263,163] {-} member(ordered_pair(x,y),element_relation).
% 13.64/13.84 10297 [hyper,10267,13] {+} member(x,y).
% 13.64/13.84 10617 [hyper,10297,1,83] {-} member(x,universal_class).
% 13.64/13.84 10618 [binary,10617.1,73.1] {-} $F.
% 13.64/13.84
% 13.64/13.84 % SZS output end Refutation
% 13.64/13.84 ------------ end of proof -------------
% 13.64/13.84
% 13.64/13.84
% 13.64/13.84 Search stopped by max_proofs option.
% 13.64/13.84
% 13.64/13.84
% 13.64/13.84 Search stopped by max_proofs option.
% 13.64/13.84
% 13.64/13.84 ============ end of search ============
% 13.64/13.84
% 13.64/13.84 ----------- soft-scott stats ----------
% 13.64/13.84
% 13.64/13.84 true clauses given 12 (9.3%)
% 13.64/13.84 false clauses given 117
% 13.64/13.84
% 13.64/13.84 FALSE TRUE
% 13.64/13.84 7 51 18
% 13.64/13.84 8 71 32
% 13.64/13.84 9 367 104
% 13.64/13.84 10 252 156
% 13.64/13.84 11 1069 274
% 13.64/13.84 12 535 342
% 13.64/13.84 13 229 199
% 13.64/13.84 14 28 141
% 13.64/13.84 15 38 193
% 13.64/13.84 16 6 43
% 13.64/13.84 17 11 99
% 13.64/13.84 18 2 43
% 13.64/13.84 19 1 66
% 13.64/13.84 20 0 29
% 13.64/13.84 21 0 18
% 13.64/13.84 22 0 13
% 13.64/13.84 23 2 40
% 13.64/13.84 24 0 15
% 13.64/13.84 25 2 5
% 13.64/13.84 26 0 16
% 13.64/13.84 27 0 24
% 13.64/13.84 28 0 9
% 13.64/13.84 29 0 32
% 13.64/13.84 30 0 17
% 13.64/13.84 31 0 20
% 13.64/13.84 32 2 25
% 13.64/13.84 33 0 14
% 13.64/13.84 34 1 19
% 13.64/13.84 35 1 5
% 13.64/13.84 36 0 11
% 13.64/13.84 37 0 1
% 13.64/13.84 38 0 5
% 13.64/13.84 39 0 2
% 13.64/13.84 41 0 1
% 13.64/13.84 42 0 2
% 13.64/13.84 46 0 4
% 13.64/13.84 48 0 6
% 13.64/13.84 50 0 6
% 13.64/13.84 52 0 2
% 13.64/13.84 55 0 1
% 13.64/13.84 57 0 3
% 13.64/13.84 59 0 3
% 13.64/13.84 60 0 1
% 13.64/13.84 tot: 2668 2059 (43.6% true)
% 13.64/13.84
% 13.64/13.84
% 13.64/13.84 Model 16 [ 64 1 2268 ] (0.00 seconds, 250000 Inserts)
% 13.64/13.84
% 13.64/13.84 That finishes the proof of the theorem.
% 13.64/13.84
% 13.64/13.84 Process 19515 finished Sat Jul 9 22:45:29 2022
%------------------------------------------------------------------------------