TSTP Solution File: SET108-6 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET108-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n024.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 05:15:55 EDT 2022
% Result : Unsatisfiable 4.30s 4.50s
% Output : Refutation 4.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET108-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n024.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 18:22:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.37 ----- Otter 3.2, August 2001 -----
% 0.13/0.37 The process was started by sandbox on n024.cluster.edu,
% 0.13/0.37 Sun Jul 10 18:22:13 2022
% 0.13/0.37 The command was "./sos". The process ID is 24041.
% 0.13/0.37
% 0.13/0.37 set(prolog_style_variables).
% 0.13/0.37 set(auto).
% 0.13/0.37 dependent: set(auto1).
% 0.13/0.37 dependent: set(process_input).
% 0.13/0.37 dependent: clear(print_kept).
% 0.13/0.37 dependent: clear(print_new_demod).
% 0.13/0.37 dependent: clear(print_back_demod).
% 0.13/0.37 dependent: clear(print_back_sub).
% 0.13/0.37 dependent: set(control_memory).
% 0.13/0.37 dependent: assign(max_mem, 12000).
% 0.13/0.37 dependent: assign(pick_given_ratio, 4).
% 0.13/0.37 dependent: assign(stats_level, 1).
% 0.13/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37 dependent: assign(sos_limit, 5000).
% 0.13/0.37 dependent: assign(max_weight, 60).
% 0.13/0.37 clear(print_given).
% 0.13/0.37
% 0.13/0.37 list(usable).
% 0.13/0.37
% 0.13/0.37 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.37
% 0.13/0.37 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.37 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.37 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.37 clauses in usable.
% 0.13/0.37
% 0.13/0.37 dependent: set(knuth_bendix).
% 0.13/0.37 dependent: set(para_from).
% 0.13/0.37 dependent: set(para_into).
% 0.13/0.37 dependent: clear(para_from_right).
% 0.13/0.37 dependent: clear(para_into_right).
% 0.13/0.37 dependent: set(para_from_vars).
% 0.13/0.37 dependent: set(eq_units_both_ways).
% 0.13/0.37 dependent: set(dynamic_demod_all).
% 0.13/0.37 dependent: set(dynamic_demod).
% 0.13/0.37 dependent: set(order_eq).
% 0.13/0.37 dependent: set(back_demod).
% 0.13/0.37 dependent: set(lrpo).
% 0.13/0.37 dependent: set(hyper_res).
% 0.13/0.37 dependent: set(unit_deletion).
% 0.13/0.37 dependent: set(factor).
% 0.13/0.37
% 0.13/0.37 ------------> process usable:
% 0.13/0.37
% 0.13/0.37 ------------> process sos:
% 0.13/0.37 Following clause subsumed by 136 during input processing: 0 [copy,136,flip.1] {-} A=A.
% 0.13/0.37 136 back subsumes 61.
% 0.13/0.37
% 0.13/0.37 ======= end of input processing =======
% 0.59/0.80
% 0.59/0.80 Model 1 (0.00 seconds, 0 Inserts)
% 0.59/0.80
% 0.59/0.80 Stopped by limit on number of solutions
% 0.59/0.80
% 0.59/0.80
% 0.59/0.80 -------------- Softie stats --------------
% 0.59/0.80
% 0.59/0.80 UPDATE_STOP: 300
% 0.59/0.80 SFINDER_TIME_LIMIT: 2
% 0.59/0.80 SHORT_CLAUSE_CUTOFF: 4
% 0.59/0.80 number of clauses in intial UL: 49
% 0.59/0.80 number of clauses initially in problem: 120
% 0.59/0.80 percentage of clauses intially in UL: 40
% 0.59/0.80 percentage of distinct symbols occuring in initial UL: 64
% 0.59/0.80 percent of all initial clauses that are short: 100
% 0.59/0.80 absolute distinct symbol count: 50
% 0.59/0.80 distinct predicate count: 10
% 0.59/0.80 distinct function count: 30
% 0.59/0.80 distinct constant count: 10
% 0.59/0.80
% 0.59/0.80 ---------- no more Softie stats ----------
% 0.59/0.80
% 0.59/0.80
% 0.59/0.80
% 0.59/0.80 Stopped by limit on insertions
% 0.59/0.80
% 0.59/0.80 =========== start of search ===========
% 4.30/4.50
% 4.30/4.50 -------- PROOF --------
% 4.30/4.50 % SZS status Unsatisfiable
% 4.30/4.50 % SZS output start Refutation
% 4.30/4.50
% 4.30/4.50 Stopped by limit on insertions
% 4.30/4.50
% 4.30/4.50 Model 2 [ 1 2 10806 ] (0.00 seconds, 250000 Inserts)
% 4.30/4.50
% 4.30/4.50 Stopped by limit on insertions
% 4.30/4.50
% 4.30/4.50 Model 3 [ 4 1 3514 ] (0.00 seconds, 250000 Inserts)
% 4.30/4.50
% 4.30/4.50 Stopped by limit on insertions
% 4.30/4.50
% 4.30/4.50 Stopped by limit on insertions
% 4.30/4.50
% 4.30/4.50 Stopped by limit on insertions
% 4.30/4.50
% 4.30/4.50 Stopped by limit on insertions
% 4.30/4.50
% 4.30/4.50 Stopped by limit on insertions
% 4.30/4.50
% 4.30/4.50 Stopped by limit on insertions
% 4.30/4.50
% 4.30/4.50 Stopped by limit on insertions
% 4.30/4.50
% 4.30/4.50 Model 4 [ 15 1 5537 ] (0.00 seconds, 250000 Inserts)
% 4.30/4.50
% 4.30/4.50 Stopped by limit on insertions
% 4.30/4.50
% 4.30/4.50 Stopped by limit on insertions
% 4.30/4.50
% 4.30/4.50 Stopped by limit on insertions
% 4.30/4.50
% 4.30/4.50 Stopped by limit on insertions
% 4.30/4.50
% 4.30/4.50 Stopped by limit on insertions
% 4.30/4.50
% 4.30/4.50 Model 5 [ 7 2 5675 ] (0.00 seconds, 250000 Inserts)
% 4.30/4.50
% 4.30/4.50 Stopped by limit on insertions
% 4.30/4.50
% 4.30/4.50 Stopped by limit on insertions
% 4.30/4.50
% 4.30/4.50 Stopped by limit on insertions
% 4.30/4.50
% 4.30/4.50 Stopped by limit on insertions
% 4.30/4.50
% 4.30/4.50 ----> UNIT CONFLICT at 4.10 sec ----> 1024 [binary,1023.1,135.1] {+} $F.
% 4.30/4.50
% 4.30/4.50 Length of proof is 2. Level of proof is 2.
% 4.30/4.50
% 4.30/4.50 ---------------- PROOF ----------------
% 4.30/4.50 % SZS status Unsatisfiable
% 4.30/4.50 % SZS output start Refutation
% 4.30/4.50
% 4.30/4.50 12 [] {+} -member(A,cross_product(B,C))|ordered_pair(first(A),second(A))=A.
% 4.30/4.50 60 [] {+} -member(ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))),cross_product(universal_class,universal_class)).
% 4.30/4.51 135 [] {-} member(ordered_pair(y,z),cross_product(universal_class,universal_class)).
% 4.30/4.51 993,992 [hyper,135,12] {-} ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z)))=ordered_pair(y,z).
% 4.30/4.51 1023 [back_demod,60,demod,993] {-} -member(ordered_pair(y,z),cross_product(universal_class,universal_class)).
% 4.30/4.51 1024 [binary,1023.1,135.1] {+} $F.
% 4.30/4.51
% 4.30/4.51 % SZS output end Refutation
% 4.30/4.51 ------------ end of proof -------------
% 4.30/4.51
% 4.30/4.51
% 4.30/4.51 Search stopped by max_proofs option.
% 4.30/4.51
% 4.30/4.51
% 4.30/4.51 Search stopped by max_proofs option.
% 4.30/4.51
% 4.30/4.51 ============ end of search ============
% 4.30/4.51
% 4.30/4.51 ----------- soft-scott stats ----------
% 4.30/4.51
% 4.30/4.51 true clauses given 5 (16.7%)
% 4.30/4.51 false clauses given 25
% 4.30/4.51
% 4.30/4.51 FALSE TRUE
% 4.30/4.51 5 0 7
% 4.30/4.51 6 0 4
% 4.30/4.51 7 7 30
% 4.30/4.51 8 10 29
% 4.30/4.51 9 30 69
% 4.30/4.51 10 10 57
% 4.30/4.51 11 48 71
% 4.30/4.51 12 11 21
% 4.30/4.51 13 29 80
% 4.30/4.51 14 17 17
% 4.30/4.51 15 20 27
% 4.30/4.51 16 9 7
% 4.30/4.51 17 11 29
% 4.30/4.51 18 8 5
% 4.30/4.51 19 9 10
% 4.30/4.51 20 11 2
% 4.30/4.51 21 9 5
% 4.30/4.51 22 9 1
% 4.30/4.51 23 11 2
% 4.30/4.51 24 3 1
% 4.30/4.51 25 3 0
% 4.30/4.51 26 2 4
% 4.30/4.51 27 1 23
% 4.30/4.51 28 0 2
% 4.30/4.51 29 1 10
% 4.30/4.51 30 0 6
% 4.30/4.51 31 2 10
% 4.30/4.51 32 0 11
% 4.30/4.51 33 0 3
% 4.30/4.51 34 0 9
% 4.30/4.51 36 0 1
% 4.30/4.51 37 0 1
% 4.30/4.51 39 0 1
% 4.30/4.51 46 0 2
% 4.30/4.51 48 0 4
% 4.30/4.51 50 0 2
% 4.30/4.51 55 0 1
% 4.30/4.51 57 0 2
% 4.30/4.51 59 0 1
% 4.30/4.51 tot: 271 567 (67.7% true)
% 4.30/4.51
% 4.30/4.51
% 4.30/4.51 Model 5 [ 7 -90 5675 ] (0.00 seconds, 250000 Inserts)
% 4.30/4.51
% 4.30/4.51 That finishes the proof of the theorem.
% 4.30/4.51
% 4.30/4.51 Process 24041 finished Sun Jul 10 18:22:17 2022
%------------------------------------------------------------------------------