TSTP Solution File: SET050-6 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET050-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n029.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 05:14:54 EDT 2022
% Result : Unsatisfiable 6.87s 7.07s
% Output : Refutation 6.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET050-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 03:19:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.36 ----- Otter 3.2, August 2001 -----
% 0.20/0.36 The process was started by sandbox on n029.cluster.edu,
% 0.20/0.36 Sun Jul 10 03:19:46 2022
% 0.20/0.36 The command was "./sos". The process ID is 9948.
% 0.20/0.36
% 0.20/0.36 set(prolog_style_variables).
% 0.20/0.36 set(auto).
% 0.20/0.36 dependent: set(auto1).
% 0.20/0.36 dependent: set(process_input).
% 0.20/0.36 dependent: clear(print_kept).
% 0.20/0.36 dependent: clear(print_new_demod).
% 0.20/0.36 dependent: clear(print_back_demod).
% 0.20/0.36 dependent: clear(print_back_sub).
% 0.20/0.36 dependent: set(control_memory).
% 0.20/0.36 dependent: assign(max_mem, 12000).
% 0.20/0.36 dependent: assign(pick_given_ratio, 4).
% 0.20/0.36 dependent: assign(stats_level, 1).
% 0.20/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.36 dependent: assign(sos_limit, 5000).
% 0.20/0.36 dependent: assign(max_weight, 60).
% 0.20/0.36 clear(print_given).
% 0.20/0.36
% 0.20/0.36 list(usable).
% 0.20/0.36
% 0.20/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.20/0.36
% 0.20/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.20/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.20/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.20/0.36 clauses in usable.
% 0.20/0.36
% 0.20/0.36 dependent: set(knuth_bendix).
% 0.20/0.36 dependent: set(para_from).
% 0.20/0.36 dependent: set(para_into).
% 0.20/0.36 dependent: clear(para_from_right).
% 0.20/0.36 dependent: clear(para_into_right).
% 0.20/0.36 dependent: set(para_from_vars).
% 0.20/0.37 dependent: set(eq_units_both_ways).
% 0.20/0.37 dependent: set(dynamic_demod_all).
% 0.20/0.37 dependent: set(dynamic_demod).
% 0.20/0.37 dependent: set(order_eq).
% 0.20/0.37 dependent: set(back_demod).
% 0.20/0.37 dependent: set(lrpo).
% 0.20/0.37 dependent: set(hyper_res).
% 0.20/0.37 dependent: set(unit_deletion).
% 0.20/0.37 dependent: set(factor).
% 0.20/0.37
% 0.20/0.37 ------------> process usable:
% 0.20/0.37
% 0.20/0.37 ------------> process sos:
% 0.20/0.37 Following clause subsumed by 136 during input processing: 0 [copy,136,flip.1] {-} A=A.
% 0.20/0.37 136 back subsumes 61.
% 0.20/0.37
% 0.20/0.37 ======= end of input processing =======
% 0.40/0.62
% 0.40/0.62 Model 1 (0.00 seconds, 0 Inserts)
% 0.40/0.62
% 0.40/0.62 Stopped by limit on number of solutions
% 0.40/0.62
% 0.40/0.62
% 0.40/0.62 -------------- Softie stats --------------
% 0.40/0.62
% 0.40/0.62 UPDATE_STOP: 300
% 0.40/0.62 SFINDER_TIME_LIMIT: 2
% 0.40/0.62 SHORT_CLAUSE_CUTOFF: 4
% 0.40/0.62 number of clauses in intial UL: 49
% 0.40/0.62 number of clauses initially in problem: 120
% 0.40/0.62 percentage of clauses intially in UL: 40
% 0.40/0.62 percentage of distinct symbols occuring in initial UL: 61
% 0.40/0.62 percent of all initial clauses that are short: 100
% 0.40/0.62 absolute distinct symbol count: 52
% 0.40/0.62 distinct predicate count: 10
% 0.40/0.62 distinct function count: 30
% 0.40/0.62 distinct constant count: 12
% 0.40/0.62
% 0.40/0.62 ---------- no more Softie stats ----------
% 0.40/0.62
% 0.40/0.62
% 0.40/0.62
% 0.40/0.62 Stopped by limit on insertions
% 0.40/0.62
% 0.40/0.62 =========== start of search ===========
% 6.87/7.07
% 6.87/7.07 -------- PROOF --------
% 6.87/7.07 % SZS status Unsatisfiable
% 6.87/7.07 % SZS output start Refutation
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Model 2 [ 3 2 5489 ] (0.00 seconds, 250000 Inserts)
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Model 3 [ 14 1 8726 ] (0.00 seconds, 250000 Inserts)
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Model 4 [ 9 2 17864 ] (0.00 seconds, 250000 Inserts)
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Model 5 [ 20 1 7094 ] (0.00 seconds, 250000 Inserts)
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Model 6 [ 9 1 11744 ] (0.00 seconds, 250000 Inserts)
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Model 7 [ 21 1 5431 ] (0.00 seconds, 250000 Inserts)
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Model 8 [ 19 2 16388 ] (0.00 seconds, 250000 Inserts)
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Model 9 [ 35 2 15983 ] (0.00 seconds, 250000 Inserts)
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 Stopped by limit on insertions
% 6.87/7.07
% 6.87/7.07 ----> UNIT CONFLICT at 6.67 sec ----> 1610 [binary,1609.1,60.1] {-} $F.
% 6.87/7.07
% 6.87/7.07 Length of proof is 3. Level of proof is 3.
% 6.87/7.07
% 6.87/7.07 ---------------- PROOF ----------------
% 6.87/7.07 % SZS status Unsatisfiable
% 6.87/7.07 % SZS output start Refutation
% 6.87/7.07
% 6.87/7.07 1 [] {+} -subclass(A,B)| -member(C,A)|member(C,B).
% 6.87/7.07 7 [] {+} -member(A,universal_class)|member(A,unordered_pair(A,B)).
% 6.87/7.07 9 [] {+} -member(ordered_pair(A,B),cross_product(C,D))|member(A,C).
% 6.87/7.07 60 [] {+} -member(x,unordered_pair(x,y)).
% 6.87/7.07 70 [] {-} subclass(A,universal_class).
% 6.87/7.07 135 [] {-} member(ordered_pair(x,y),cross_product(u,v)).
% 6.87/7.07 1472 [hyper,135,9] {-} member(x,u).
% 6.87/7.07 1548 [hyper,1472,1,70] {-} member(x,universal_class).
% 6.87/7.07 1609 [hyper,1548,7] {-} member(x,unordered_pair(x,A)).
% 6.87/7.07 1610 [binary,1609.1,60.1] {-} $F.
% 6.87/7.07
% 6.87/7.07 % SZS output end Refutation
% 6.87/7.07 ------------ end of proof -------------
% 6.87/7.07
% 6.87/7.07
% 6.87/7.07 Search stopped by max_proofs option.
% 6.87/7.07
% 6.87/7.07
% 6.87/7.07 Search stopped by max_proofs option.
% 6.87/7.07
% 6.87/7.07 ============ end of search ============
% 6.87/7.07
% 6.87/7.07 ----------- soft-scott stats ----------
% 6.87/7.07
% 6.87/7.07 true clauses given 7 (15.9%)
% 6.87/7.07 false clauses given 37
% 6.87/7.07
% 6.87/7.07 FALSE TRUE
% 6.87/7.07 3 0 1
% 6.87/7.07 5 1 0
% 6.87/7.07 6 0 4
% 6.87/7.07 7 56 13
% 6.87/7.07 8 24 23
% 6.87/7.07 9 182 32
% 6.87/7.07 10 11 85
% 6.87/7.07 11 227 60
% 6.87/7.07 12 19 31
% 6.87/7.07 13 111 98
% 6.87/7.07 14 19 31
% 6.87/7.07 15 29 52
% 6.87/7.07 16 12 17
% 6.87/7.07 17 13 32
% 6.87/7.07 18 5 14
% 6.87/7.07 19 7 15
% 6.87/7.07 20 8 12
% 6.87/7.07 21 7 7
% 6.87/7.07 22 10 3
% 6.87/7.07 23 4 9
% 6.87/7.07 24 0 5
% 6.87/7.07 25 0 2
% 6.87/7.07 26 0 6
% 6.87/7.07 27 1 23
% 6.87/7.07 28 0 2
% 6.87/7.07 29 0 11
% 6.87/7.07 30 0 6
% 6.87/7.07 31 2 10
% 6.87/7.07 32 0 11
% 6.87/7.07 33 0 3
% 6.87/7.07 34 1 8
% 6.87/7.07 36 0 1
% 6.87/7.07 37 0 1
% 6.87/7.07 39 0 1
% 6.87/7.07 46 0 2
% 6.87/7.07 48 0 4
% 6.87/7.07 50 0 2
% 6.87/7.07 55 0 1
% 6.87/7.07 57 0 2
% 6.87/7.07 59 0 1
% 6.87/7.07 tot: 749 641 (46.1% true)
% 6.87/7.07
% 6.87/7.07
% 6.87/7.07 Model 9 [ 35 -153 15983 ] (0.00 seconds, 250000 Inserts)
% 6.87/7.07
% 6.87/7.07 That finishes the proof of the theorem.
% 6.87/7.07
% 6.87/7.07 Process 9948 finished Sun Jul 10 03:19:52 2022
%------------------------------------------------------------------------------