TSTP Solution File: SET236-6 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET236-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n013.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 05:16:59 EDT 2022
% Result : Unsatisfiable 10.66s 10.86s
% Output : Refutation 10.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET236-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n013.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 Jul 11 09:42:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36 ----- Otter 3.2, August 2001 -----
% 0.12/0.36 The process was started by sandbox on n013.cluster.edu,
% 0.12/0.36 Mon Jul 11 09:42:44 2022
% 0.12/0.36 The command was "./sos". The process ID is 23274.
% 0.12/0.36
% 0.12/0.36 set(prolog_style_variables).
% 0.12/0.36 set(auto).
% 0.12/0.36 dependent: set(auto1).
% 0.12/0.36 dependent: set(process_input).
% 0.12/0.36 dependent: clear(print_kept).
% 0.12/0.36 dependent: clear(print_new_demod).
% 0.12/0.36 dependent: clear(print_back_demod).
% 0.12/0.36 dependent: clear(print_back_sub).
% 0.12/0.36 dependent: set(control_memory).
% 0.12/0.36 dependent: assign(max_mem, 12000).
% 0.12/0.36 dependent: assign(pick_given_ratio, 4).
% 0.12/0.36 dependent: assign(stats_level, 1).
% 0.12/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36 dependent: assign(sos_limit, 5000).
% 0.12/0.36 dependent: assign(max_weight, 60).
% 0.12/0.36 clear(print_given).
% 0.12/0.36
% 0.12/0.36 list(usable).
% 0.12/0.36
% 0.12/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.12/0.36
% 0.12/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.36 clauses in usable.
% 0.12/0.36
% 0.12/0.36 dependent: set(knuth_bendix).
% 0.12/0.36 dependent: set(para_from).
% 0.12/0.36 dependent: set(para_into).
% 0.12/0.36 dependent: clear(para_from_right).
% 0.12/0.36 dependent: clear(para_into_right).
% 0.12/0.36 dependent: set(para_from_vars).
% 0.12/0.36 dependent: set(eq_units_both_ways).
% 0.12/0.36 dependent: set(dynamic_demod_all).
% 0.12/0.36 dependent: set(dynamic_demod).
% 0.12/0.36 dependent: set(order_eq).
% 0.12/0.36 dependent: set(back_demod).
% 0.12/0.36 dependent: set(lrpo).
% 0.12/0.36 dependent: set(hyper_res).
% 0.12/0.36 dependent: set(unit_deletion).
% 0.12/0.36 dependent: set(factor).
% 0.12/0.36
% 0.12/0.36 ------------> process usable:
% 0.12/0.36
% 0.12/0.36 ------------> process sos:
% 0.12/0.36 Following clause subsumed by 165 during input processing: 0 [copy,165,flip.1] {-} A=A.
% 0.12/0.36 165 back subsumes 74.
% 0.12/0.36
% 0.12/0.36 ======= end of input processing =======
% 0.85/1.07
% 0.85/1.07 Model 1 (0.00 seconds, 0 Inserts)
% 0.85/1.07
% 0.85/1.07 Stopped by limit on number of solutions
% 0.85/1.07
% 0.85/1.07
% 0.85/1.07 -------------- Softie stats --------------
% 0.85/1.07
% 0.85/1.07 UPDATE_STOP: 300
% 0.85/1.07 SFINDER_TIME_LIMIT: 2
% 0.85/1.07 SHORT_CLAUSE_CUTOFF: 4
% 0.85/1.07 number of clauses in intial UL: 60
% 0.85/1.07 number of clauses initially in problem: 146
% 0.85/1.07 percentage of clauses intially in UL: 41
% 0.85/1.07 percentage of distinct symbols occuring in initial UL: 64
% 0.85/1.07 percent of all initial clauses that are short: 100
% 0.85/1.07 absolute distinct symbol count: 59
% 0.85/1.07 distinct predicate count: 11
% 0.85/1.07 distinct function count: 34
% 0.85/1.07 distinct constant count: 14
% 0.85/1.07
% 0.85/1.07 ---------- no more Softie stats ----------
% 0.85/1.07
% 0.85/1.07
% 0.85/1.07
% 0.85/1.07 Stopped by limit on insertions
% 0.85/1.07
% 0.85/1.07 =========== start of search ===========
% 10.66/10.86
% 10.66/10.86 -- HEY sandbox, WE HAVE A PROOF!! --
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Model 2 [ 5 4 47732 ] (0.00 seconds, 250000 Inserts)
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Model 3 [ 3 1 5080 ] (0.00 seconds, 250000 Inserts)
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Model 4 [ 14 2 19163 ] (0.00 seconds, 250000 Inserts)
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Model 5 [ 13 1 8962 ] (0.00 seconds, 250000 Inserts)
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Model 6 [ 14 2 18990 ] (0.00 seconds, 250000 Inserts)
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Model 7 [ 11 1 8693 ] (0.00 seconds, 250000 Inserts)
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Model 8 [ 34 3 26895 ] (0.00 seconds, 250000 Inserts)
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Model 9 [ 37 2 13891 ] (0.00 seconds, 250000 Inserts)
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Model 10 [ 18 1 14011 ] (0.00 seconds, 250000 Inserts)
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Model 11 [ 56 1 2415 ] (0.00 seconds, 250000 Inserts)
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Model 12 [ 48 1 3456 ] (0.00 seconds, 250000 Inserts)
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 Stopped by limit on insertions
% 10.66/10.86
% 10.66/10.86 ----> UNIT CONFLICT at 10.48 sec ----> 5665 [binary,5664.1,73.1] {+} $F.
% 10.66/10.86
% 10.66/10.86 Length of proof is 5. Level of proof is 5.
% 10.66/10.86
% 10.66/10.86 ---------------- PROOF ----------------
% 10.66/10.86 % SZS status Unsatisfiable
% 10.66/10.86 % SZS output start Refutation
% 10.66/10.86
% 10.66/10.86 1 [] {+} -subclass(A,B)| -member(C,A)|member(C,B).
% 10.66/10.86 2 [] {+} -member(not_subclass_element(A,B),B)|subclass(A,B).
% 10.66/10.86 12 [] {+} -member(A,cross_product(B,C))|ordered_pair(first(A),second(A))=A.
% 10.66/10.86 73 [] {+} -subclass(x,y).
% 10.66/10.86 82 [] {-} member(not_subclass_element(A,B),A)|subclass(A,B).
% 10.66/10.86 163 [] {+} subclass(x,cross_product(universal_class,universal_class)).
% 10.66/10.86 164 [] {-} member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),y).
% 10.66/10.86 186 [hyper,82,73] {-} member(not_subclass_element(x,y),x).
% 10.66/10.86 704 [hyper,163,1,186] {-} member(not_subclass_element(x,y),cross_product(universal_class,universal_class)).
% 10.66/10.86 4936,4935 [hyper,704,12] {+} ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y)))=not_subclass_element(x,y).
% 10.66/10.86 5032 [back_demod,164,demod,4936] {-} member(not_subclass_element(x,y),y).
% 10.66/10.86 5664 [hyper,5032,2] {-} subclass(x,y).
% 10.66/10.86 5665 [binary,5664.1,73.1] {+} $F.
% 10.66/10.86
% 10.66/10.86 % SZS output end Refutation
% 10.66/10.86 ------------ end of proof -------------
% 10.66/10.86
% 10.66/10.86
% 10.66/10.86 Search stopped by max_proofs option.
% 10.66/10.86
% 10.66/10.86
% 10.66/10.86 Search stopped by max_proofs option.
% 10.66/10.86
% 10.66/10.86 ============ end of search ============
% 10.66/10.86
% 10.66/10.86 ----------- soft-scott stats ----------
% 10.66/10.86
% 10.66/10.86 true clauses given 8 (8.7%)
% 10.66/10.86 false clauses given 84
% 10.66/10.86
% 10.66/10.86 FALSE TRUE
% 10.66/10.86 7 34 16
% 10.66/10.86 8 49 20
% 10.66/10.86 9 231 63
% 10.66/10.86 10 107 113
% 10.66/10.86 11 581 165
% 10.66/10.86 12 100 202
% 10.66/10.86 13 1100 214
% 10.66/10.86 14 188 106
% 10.66/10.86 15 272 155
% 10.66/10.86 16 1 57
% 10.66/10.86 17 9 61
% 10.66/10.86 18 3 36
% 10.66/10.86 19 3 52
% 10.66/10.86 20 3 35
% 10.66/10.86 21 1 17
% 10.66/10.86 22 1 21
% 10.66/10.86 23 0 30
% 10.66/10.86 24 0 17
% 10.66/10.86 25 0 11
% 10.66/10.86 26 0 15
% 10.66/10.86 27 0 26
% 10.66/10.86 28 0 9
% 10.66/10.86 29 0 35
% 10.66/10.86 30 0 19
% 10.66/10.86 31 0 22
% 10.66/10.86 32 0 28
% 10.66/10.86 33 0 15
% 10.66/10.86 34 0 21
% 10.66/10.86 35 0 8
% 10.66/10.86 36 0 11
% 10.66/10.86 37 0 1
% 10.66/10.86 38 0 1
% 10.66/10.86 39 0 2
% 10.66/10.86 41 0 1
% 10.66/10.86 42 0 1
% 10.66/10.86 46 0 3
% 10.66/10.86 48 0 6
% 10.66/10.86 50 0 6
% 10.66/10.86 52 0 2
% 10.66/10.86 55 0 1
% 10.66/10.86 57 0 3
% 10.66/10.86 59 0 3
% 10.66/10.86 60 0 1
% 10.66/10.86 tot: 2683 1631 (37.8% true)
% 10.66/10.86
% 10.66/10.86
% 10.66/10.86 Model 12 [ 48 -220 3456 ] (0.00 seconds, 250000 Inserts)
% 10.66/10.86
% 10.66/10.86 That finishes the proof of the theorem.
% 10.66/10.86
% 10.66/10.86 Process 23274 finished Mon Jul 11 09:42:55 2022
%------------------------------------------------------------------------------