%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET051-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n003.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 5.84s 6.04s
% Output : Refutation 5.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET051-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n003.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 16:13:58 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 n003.cluster.edu,
% 0.18/0.35 Sat Jul 9 16:13:58 2022
% 0.18/0.35 The command was "./sos". The process ID is 23683.
% 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 =======
% 0.84/1.04
% 0.84/1.04 Model 1 (0.00 seconds, 0 Inserts)
% 0.84/1.04
% 0.84/1.04 Stopped by limit on number of solutions
% 0.84/1.04
% 0.84/1.04
% 0.84/1.04 -------------- Softie stats --------------
% 0.84/1.04
% 0.84/1.04 UPDATE_STOP: 300
% 0.84/1.04 SFINDER_TIME_LIMIT: 2
% 0.84/1.04 SHORT_CLAUSE_CUTOFF: 4
% 0.84/1.04 number of clauses in intial UL: 49
% 0.84/1.04 number of clauses initially in problem: 120
% 0.84/1.04 percentage of clauses intially in UL: 40
% 0.84/1.04 percentage of distinct symbols occuring in initial UL: 61
% 0.84/1.04 percent of all initial clauses that are short: 100
% 0.84/1.04 absolute distinct symbol count: 52
% 0.84/1.04 distinct predicate count: 10
% 0.84/1.04 distinct function count: 30
% 0.84/1.04 distinct constant count: 12
% 0.84/1.04
% 0.84/1.04 ---------- no more Softie stats ----------
% 0.84/1.04
% 0.84/1.04
% 0.84/1.04
% 0.84/1.04 Stopped by limit on insertions
% 0.84/1.04
% 0.84/1.04 =========== start of search ===========
% 5.84/6.04
% 5.84/6.04 -------- PROOF --------
% 5.84/6.04 % SZS status Unsatisfiable
% 5.84/6.04 % SZS output start Refutation
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Model 2 [ 14 1 7910 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Model 3 [ 13 1 5536 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Model 4 [ 9 2 13230 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Model 5 [ 15 1 8448 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Model 6 [ 9 2 17885 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Model 7 [ 20 0 529 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Model 8 [ 12 2 18305 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 Model 9 [ 37 1 3545 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.04
% 5.84/6.04 Stopped by limit on insertions
% 5.84/6.04
% 5.84/6.04 ----> UNIT CONFLICT at 5.66 sec ----> 1344 [binary,1343.1,60.1] {-} $F.
% 5.84/6.04
% 5.84/6.04 Length of proof is 3. Level of proof is 3.
% 5.84/6.04
% 5.84/6.04 ---------------- PROOF ----------------
% 5.84/6.04 % SZS status Unsatisfiable
% 5.84/6.04 % SZS output start Refutation
% 5.84/6.04
% 5.84/6.04 1 [] {+} -subclass(A,B)| -member(C,A)|member(C,B).
% 5.84/6.04 8 [] {+} -member(A,universal_class)|member(A,unordered_pair(B,A)).
% 5.84/6.04 10 [] {+} -member(ordered_pair(A,B),cross_product(C,D))|member(B,D).
% 5.84/6.04 60 [] {+} -member(y,unordered_pair(x,y)).
% 5.84/6.04 70 [] {-} subclass(A,universal_class).
% 5.84/6.04 135 [] {-} member(ordered_pair(x,y),cross_product(u,v)).
% 5.84/6.04 1203 [hyper,135,10] {+} member(y,v).
% 5.84/6.04 1290 [hyper,1203,1,70] {-} member(y,universal_class).
% 5.84/6.04 1343 [hyper,1290,8] {-} member(y,unordered_pair(A,y)).
% 5.84/6.04 1344 [binary,1343.1,60.1] {-} $F.
% 5.84/6.04
% 5.84/6.04 % SZS output end Refutation
% 5.84/6.04 ------------ end of proof -------------
% 5.84/6.04
% 5.84/6.04
% 5.84/6.04 Search stopped by max_proofs option.
% 5.84/6.04
% 5.84/6.04
% 5.84/6.04 Search stopped by max_proofs option.
% 5.84/6.04
% 5.84/6.04 ============ end of search ============
% 5.84/6.04
% 5.84/6.04 ----------- soft-scott stats ----------
% 5.84/6.04
% 5.84/6.04 true clauses given 5 (13.2%)
% 5.84/6.04 false clauses given 33
% 5.84/6.04
% 5.84/6.04 FALSE TRUE
% 5.84/6.04 3 0 1
% 5.84/6.04 5 3 1
% 5.84/6.04 6 3 0
% 5.84/6.04 7 42 18
% 5.84/6.04 8 26 21
% 5.84/6.04 9 130 37
% 5.84/6.04 10 8 76
% 5.84/6.04 11 138 63
% 5.84/6.04 12 12 29
% 5.84/6.04 13 77 92
% 5.84/6.04 14 13 31
% 5.84/6.04 15 14 60
% 5.84/6.04 16 10 6
% 5.84/6.04 17 7 35
% 5.84/6.04 18 3 11
% 5.84/6.04 19 10 10
% 5.84/6.04 20 7 8
% 5.84/6.04 21 5 9
% 5.84/6.04 22 8 3
% 5.84/6.04 23 4 9
% 5.84/6.04 24 0 4
% 5.84/6.04 25 0 2
% 5.84/6.04 26 2 4
% 5.84/6.04 27 1 23
% 5.84/6.04 28 0 2
% 5.84/6.04 29 0 11
% 5.84/6.04 30 0 6
% 5.84/6.04 31 2 10
% 5.84/6.04 32 0 11
% 5.84/6.04 33 0 3
% 5.84/6.04 34 1 8
% 5.84/6.04 36 0 1
% 5.84/6.04 37 0 1
% 5.84/6.04 39 0 1
% 5.84/6.04 46 0 2
% 5.84/6.04 48 0 4
% 5.84/6.04 50 0 2
% 5.84/6.04 55 0 1
% 5.84/6.04 57 0 2
% 5.84/6.04 59 0 1
% 5.84/6.04 tot: 526 619 (54.1% true)
% 5.84/6.04
% 5.84/6.04
% 5.84/6.04 Model 9 [ 37 -10 3545 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.04
% 5.84/6.04 That finishes the proof of the theorem.
% 5.84/6.04
% 5.84/6.04 Process 23683 finished Sat Jul 9 16:14:04 2022
%------------------------------------------------------------------------------