TSTP Solution File: SET053-6 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET053-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n020.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 05:14:55 EDT 2022
% Result : Unsatisfiable 7.39s 7.62s
% Output : Refutation 7.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET053-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n020.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 : Sat Jul 9 19:36:28 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 sandbox on n020.cluster.edu,
% 0.18/0.35 Sat Jul 9 19:36:28 2022
% 0.18/0.35 The command was "./sos". The process ID is 17331.
% 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=1, symmetry=0, max_lits=5.
% 0.18/0.35
% 0.18/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.35 clauses in usable.
% 0.18/0.35
% 0.18/0.35 dependent: set(knuth_bendix).
% 0.18/0.35 dependent: set(para_from).
% 0.18/0.35 dependent: set(para_into).
% 0.18/0.35 dependent: clear(para_from_right).
% 0.18/0.35 dependent: clear(para_into_right).
% 0.18/0.35 dependent: set(para_from_vars).
% 0.18/0.35 dependent: set(eq_units_both_ways).
% 0.18/0.35 dependent: set(dynamic_demod_all).
% 0.18/0.35 dependent: set(dynamic_demod).
% 0.18/0.35 dependent: set(order_eq).
% 0.18/0.35 dependent: set(back_demod).
% 0.18/0.35 dependent: set(lrpo).
% 0.18/0.35 dependent: set(hyper_res).
% 0.18/0.35 dependent: set(unit_deletion).
% 0.18/0.35 dependent: set(factor).
% 0.18/0.35
% 0.18/0.35 ------------> process usable:
% 0.18/0.35
% 0.18/0.35 ------------> process sos:
% 0.18/0.35 Following clause subsumed by 136 during input processing: 0 [copy,136,flip.1] {-} A=A.
% 0.18/0.35 136 back subsumes 61.
% 0.18/0.35
% 0.18/0.35 ======= end of input processing =======
% 0.59/0.85
% 0.59/0.85 Model 1 (0.00 seconds, 0 Inserts)
% 0.59/0.85
% 0.59/0.85 Stopped by limit on number of solutions
% 0.59/0.85
% 0.59/0.85
% 0.59/0.85 -------------- Softie stats --------------
% 0.59/0.85
% 0.59/0.85 UPDATE_STOP: 300
% 0.59/0.85 SFINDER_TIME_LIMIT: 2
% 0.59/0.85 SHORT_CLAUSE_CUTOFF: 4
% 0.59/0.85 number of clauses in intial UL: 49
% 0.59/0.85 number of clauses initially in problem: 120
% 0.59/0.85 percentage of clauses intially in UL: 40
% 0.59/0.85 percentage of distinct symbols occuring in initial UL: 59
% 0.59/0.85 percent of all initial clauses that are short: 100
% 0.59/0.85 absolute distinct symbol count: 52
% 0.59/0.85 distinct predicate count: 10
% 0.59/0.85 distinct function count: 30
% 0.59/0.85 distinct constant count: 12
% 0.59/0.85
% 0.59/0.85 ---------- no more Softie stats ----------
% 0.59/0.85
% 0.59/0.85
% 0.59/0.85
% 0.59/0.85 Stopped by limit on insertions
% 0.59/0.85
% 0.59/0.85 =========== start of search ===========
% 7.39/7.62
% 7.39/7.62 -------- PROOF --------
% 7.39/7.62 % SZS status Unsatisfiable
% 7.39/7.62 % SZS output start Refutation
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Model 2 [ 2 1 7574 ] (0.00 seconds, 250000 Inserts)
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Model 3 [ 12 1 13682 ] (0.00 seconds, 250000 Inserts)
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Model 4 [ 13 1 4941 ] (0.00 seconds, 250000 Inserts)
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Model 5 [ 7 2 8824 ] (0.00 seconds, 250000 Inserts)
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Model 6 [ 27 0 476 ] (0.00 seconds, 250000 Inserts)
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Model 7 [ 26 1 3641 ] (0.00 seconds, 250000 Inserts)
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Model 8 [ 35 1 4242 ] (0.00 seconds, 250000 Inserts)
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Model 9 [ 37 16 72251 ] (0.00 seconds, 250000 Inserts)
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Model 10 [ 27 2 10040 ] (0.00 seconds, 250000 Inserts)
% 7.39/7.62
% 7.39/7.62 Stopped by limit on insertions
% 7.39/7.62
% 7.39/7.62 Model 11 [ 51 2 9950 ] (0.00 seconds, 250000 Inserts)
% 7.39/7.62
% 7.39/7.62 ----> UNIT CONFLICT at 7.24 sec ----> 1583 [binary,1582.1,60.1] {+} $F.
% 7.39/7.62
% 7.39/7.62 Length of proof is 2. Level of proof is 2.
% 7.39/7.62
% 7.39/7.62 ---------------- PROOF ----------------
% 7.39/7.62 % SZS status Unsatisfiable
% 7.39/7.62 % SZS output start Refutation
% 7.39/7.62
% 7.39/7.62 1 [] {+} -subclass(A,B)| -member(C,A)|member(C,B).
% 7.39/7.62 10 [] {+} -member(ordered_pair(A,B),cross_product(C,D))|member(B,D).
% 7.39/7.62 60 [] {+} -member(v,universal_class).
% 7.39/7.62 70 [] {-} subclass(A,universal_class).
% 7.39/7.62 135 [] {-} member(ordered_pair(u,v),cross_product(x,y)).
% 7.39/7.62 1507 [hyper,135,10] {+} member(v,y).
% 7.39/7.62 1582 [hyper,1507,1,70] {-} member(v,universal_class).
% 7.39/7.62 1583 [binary,1582.1,60.1] {+} $F.
% 7.39/7.62
% 7.39/7.62 % SZS output end Refutation
% 7.39/7.62 ------------ end of proof -------------
% 7.39/7.62
% 7.39/7.62
% 7.39/7.62 Search stopped by max_proofs option.
% 7.39/7.62
% 7.39/7.62
% 7.39/7.62 Search stopped by max_proofs option.
% 7.39/7.62
% 7.39/7.62 ============ end of search ============
% 7.39/7.62
% 7.39/7.62 ----------- soft-scott stats ----------
% 7.39/7.62
% 7.39/7.62 true clauses given 7 (15.6%)
% 7.39/7.62 false clauses given 38
% 7.39/7.62
% 7.39/7.62 FALSE TRUE
% 7.39/7.62 3 1 0
% 7.39/7.62 4 1 0
% 7.39/7.62 6 4 0
% 7.39/7.62 7 58 4
% 7.39/7.62 8 34 12
% 7.39/7.62 9 173 17
% 7.39/7.62 10 34 66
% 7.39/7.62 11 225 57
% 7.39/7.62 12 23 26
% 7.39/7.62 13 89 118
% 7.39/7.62 14 23 46
% 7.39/7.62 15 26 52
% 7.39/7.62 16 10 18
% 7.39/7.62 17 14 31
% 7.39/7.62 18 9 10
% 7.39/7.62 19 11 11
% 7.39/7.62 20 12 8
% 7.39/7.62 21 10 4
% 7.39/7.62 22 6 7
% 7.39/7.62 23 9 4
% 7.39/7.62 24 0 5
% 7.39/7.62 25 2 0
% 7.39/7.62 26 4 2
% 7.39/7.62 27 2 22
% 7.39/7.62 28 0 2
% 7.39/7.62 29 0 11
% 7.39/7.62 30 0 6
% 7.39/7.62 31 2 10
% 7.39/7.62 32 0 11
% 7.39/7.62 33 0 3
% 7.39/7.62 34 2 7
% 7.39/7.62 36 0 1
% 7.39/7.62 37 0 1
% 7.39/7.62 39 1 0
% 7.39/7.62 46 0 2
% 7.39/7.62 48 0 4
% 7.39/7.62 50 0 2
% 7.39/7.62 55 0 1
% 7.39/7.62 57 0 2
% 7.39/7.62 59 0 1
% 7.39/7.62 tot: 785 584 (42.7% true)
% 7.39/7.62
% 7.39/7.62
% 7.39/7.62 Model 11 [ 51 2 9950 ] (0.00 seconds, 250000 Inserts)
% 7.39/7.62
% 7.39/7.62 That finishes the proof of the theorem.
% 7.39/7.62
% 7.39/7.62 Process 17331 finished Sat Jul 9 19:36:35 2022
%------------------------------------------------------------------------------