TSTP Solution File: SET203-6 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET203-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n009.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 05:16:49 EDT 2022
% Result : Unsatisfiable 2.66s 2.93s
% Output : Refutation 2.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET203-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : sos-script %s
% 0.13/0.32 % Computer : n009.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Sun Jul 10 05:56:52 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.13/0.35 ----- Otter 3.2, August 2001 -----
% 0.13/0.35 The process was started by sandbox2 on n009.cluster.edu,
% 0.13/0.35 Sun Jul 10 05:56:52 2022
% 0.13/0.35 The command was "./sos". The process ID is 27533.
% 0.13/0.35
% 0.13/0.35 set(prolog_style_variables).
% 0.13/0.35 set(auto).
% 0.13/0.35 dependent: set(auto1).
% 0.13/0.35 dependent: set(process_input).
% 0.13/0.35 dependent: clear(print_kept).
% 0.13/0.35 dependent: clear(print_new_demod).
% 0.13/0.35 dependent: clear(print_back_demod).
% 0.13/0.35 dependent: clear(print_back_sub).
% 0.13/0.35 dependent: set(control_memory).
% 0.13/0.35 dependent: assign(max_mem, 12000).
% 0.13/0.35 dependent: assign(pick_given_ratio, 4).
% 0.13/0.35 dependent: assign(stats_level, 1).
% 0.13/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35 dependent: assign(sos_limit, 5000).
% 0.13/0.35 dependent: assign(max_weight, 60).
% 0.13/0.35 clear(print_given).
% 0.13/0.35
% 0.13/0.35 list(usable).
% 0.13/0.35
% 0.13/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.35
% 0.13/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.35 clauses in usable.
% 0.13/0.35
% 0.13/0.35 dependent: set(knuth_bendix).
% 0.13/0.35 dependent: set(para_from).
% 0.13/0.35 dependent: set(para_into).
% 0.13/0.35 dependent: clear(para_from_right).
% 0.13/0.35 dependent: clear(para_into_right).
% 0.13/0.35 dependent: set(para_from_vars).
% 0.13/0.35 dependent: set(eq_units_both_ways).
% 0.13/0.35 dependent: set(dynamic_demod_all).
% 0.13/0.35 dependent: set(dynamic_demod).
% 0.13/0.35 dependent: set(order_eq).
% 0.13/0.35 dependent: set(back_demod).
% 0.13/0.35 dependent: set(lrpo).
% 0.13/0.35 dependent: set(hyper_res).
% 0.13/0.35 dependent: set(unit_deletion).
% 0.13/0.35 dependent: set(factor).
% 0.13/0.35
% 0.13/0.35 ------------> process usable:
% 0.13/0.35
% 0.13/0.35 ------------> process sos:
% 0.13/0.35 Following clause subsumed by 165 during input processing: 0 [copy,165,flip.1] {-} A=A.
% 0.13/0.35 165 back subsumes 74.
% 0.13/0.35
% 0.13/0.35 ======= end of input processing =======
% 0.78/1.02
% 0.78/1.02 Model 1 (0.00 seconds, 0 Inserts)
% 0.78/1.02
% 0.78/1.02 Stopped by limit on number of solutions
% 0.78/1.02
% 0.78/1.02
% 0.78/1.02 -------------- Softie stats --------------
% 0.78/1.02
% 0.78/1.02 UPDATE_STOP: 300
% 0.78/1.02 SFINDER_TIME_LIMIT: 2
% 0.78/1.02 SHORT_CLAUSE_CUTOFF: 4
% 0.78/1.02 number of clauses in intial UL: 60
% 0.78/1.02 number of clauses initially in problem: 146
% 0.78/1.02 percentage of clauses intially in UL: 41
% 0.78/1.02 percentage of distinct symbols occuring in initial UL: 62
% 0.78/1.02 percent of all initial clauses that are short: 100
% 0.78/1.02 absolute distinct symbol count: 61
% 0.78/1.02 distinct predicate count: 11
% 0.78/1.02 distinct function count: 34
% 0.78/1.02 distinct constant count: 16
% 0.78/1.02
% 0.78/1.02 ---------- no more Softie stats ----------
% 0.78/1.02
% 0.78/1.02
% 0.78/1.02
% 0.78/1.02 Stopped by limit on insertions
% 0.78/1.02
% 0.78/1.02 =========== start of search ===========
% 2.66/2.93
% 2.66/2.93 -------- PROOF --------
% 2.66/2.93 % SZS status Unsatisfiable
% 2.66/2.93 % SZS output start Refutation
% 2.66/2.93
% 2.66/2.93 Stopped by limit on insertions
% 2.66/2.93
% 2.66/2.93 Stopped by limit on insertions
% 2.66/2.93
% 2.66/2.93 Model 2 [ 4 1 1986 ] (0.00 seconds, 250000 Inserts)
% 2.66/2.93
% 2.66/2.93 Stopped by limit on insertions
% 2.66/2.93
% 2.66/2.93 Stopped by limit on insertions
% 2.66/2.93
% 2.66/2.93 Stopped by limit on insertions
% 2.66/2.93
% 2.66/2.93 Stopped by limit on insertions
% 2.66/2.93
% 2.66/2.93 Stopped by limit on insertions
% 2.66/2.93
% 2.66/2.93 Stopped by limit on insertions
% 2.66/2.93
% 2.66/2.93 Stopped by limit on insertions
% 2.66/2.93
% 2.66/2.93 Stopped by limit on insertions
% 2.66/2.93
% 2.66/2.93 ----> UNIT CONFLICT at 2.56 sec ----> 356 [binary,355.1,73.1] {-} $F.
% 2.66/2.93
% 2.66/2.93 Length of proof is 3. Level of proof is 2.
% 2.66/2.93
% 2.66/2.93 ---------------- PROOF ----------------
% 2.66/2.93 % SZS status Unsatisfiable
% 2.66/2.93 % SZS output start Refutation
% 2.66/2.93
% 2.66/2.93 1 [] {+} -subclass(A,B)| -member(C,A)|member(C,B).
% 2.66/2.93 11 [] {+} -member(A,B)| -member(C,D)|member(ordered_pair(A,C),cross_product(B,D)).
% 2.66/2.93 73 [] {+} -member(ordered_pair(u,v),cross_product(universal_class,universal_class)).
% 2.66/2.93 83 [] {-} subclass(A,universal_class).
% 2.66/2.93 163 [] {-} member(u,x).
% 2.66/2.93 164 [] {-} member(v,y).
% 2.66/2.93 260 [hyper,163,1,83] {-} member(u,universal_class).
% 2.66/2.93 280 [hyper,164,1,83] {-} member(v,universal_class).
% 2.66/2.93 355 [hyper,280,11,260] {-} member(ordered_pair(u,v),cross_product(universal_class,universal_class)).
% 2.66/2.93 356 [binary,355.1,73.1] {-} $F.
% 2.66/2.93
% 2.66/2.93 % SZS output end Refutation
% 2.66/2.93 ------------ end of proof -------------
% 2.66/2.93
% 2.66/2.93
% 2.66/2.93 Search stopped by max_proofs option.
% 2.66/2.93
% 2.66/2.93
% 2.66/2.93 Search stopped by max_proofs option.
% 2.66/2.93
% 2.66/2.93 ============ end of search ============
% 2.66/2.93
% 2.66/2.93 ----------- soft-scott stats ----------
% 2.66/2.93
% 2.66/2.93 true clauses given 0 (0.0%)
% 2.66/2.93 false clauses given 12
% 2.66/2.93
% 2.66/2.93 FALSE TRUE
% 2.66/2.93 3 1 2
% 2.66/2.93 5 16 2
% 2.66/2.93 6 5 1
% 2.66/2.93 7 32 5
% 2.66/2.93 8 20 14
% 2.66/2.93 9 23 1
% 2.66/2.93 10 5 10
% 2.66/2.93 11 3 29
% 2.66/2.93 12 1 5
% 2.66/2.93 13 7 4
% 2.66/2.93 14 4 1
% 2.66/2.93 15 1 3
% 2.66/2.93 16 1 2
% 2.66/2.93 17 1 2
% 2.66/2.93 18 0 2
% 2.66/2.93 19 0 1
% 2.66/2.93 20 0 1
% 2.66/2.93 22 1 0
% 2.66/2.93 23 0 1
% 2.66/2.93 24 1 0
% 2.66/2.93 42 1 0
% 2.66/2.93 tot: 123 86 (41.1% true)
% 2.66/2.93
% 2.66/2.93
% 2.66/2.93 Model 2 [ 4 -155 1986 ] (0.00 seconds, 250000 Inserts)
% 2.66/2.93
% 2.66/2.93 That finishes the proof of the theorem.
% 2.66/2.93
% 2.66/2.93 Process 27533 finished Sun Jul 10 05:56:54 2022
%------------------------------------------------------------------------------