TSTP Solution File: SET235-6 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET235-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n018.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 05:16:59 EDT 2022
% Result : Unsatisfiable 10.41s 10.61s
% Output : Refutation 10.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET235-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n018.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 : Mon Jul 11 03:06:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 ----- Otter 3.2, August 2001 -----
% 0.12/0.35 The process was started by sandbox2 on n018.cluster.edu,
% 0.12/0.35 Mon Jul 11 03:06:13 2022
% 0.12/0.35 The command was "./sos". The process ID is 2695.
% 0.12/0.35
% 0.12/0.35 set(prolog_style_variables).
% 0.12/0.35 set(auto).
% 0.12/0.35 dependent: set(auto1).
% 0.12/0.35 dependent: set(process_input).
% 0.12/0.35 dependent: clear(print_kept).
% 0.12/0.35 dependent: clear(print_new_demod).
% 0.12/0.35 dependent: clear(print_back_demod).
% 0.12/0.35 dependent: clear(print_back_sub).
% 0.12/0.35 dependent: set(control_memory).
% 0.12/0.35 dependent: assign(max_mem, 12000).
% 0.12/0.35 dependent: assign(pick_given_ratio, 4).
% 0.12/0.35 dependent: assign(stats_level, 1).
% 0.12/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35 dependent: assign(sos_limit, 5000).
% 0.12/0.35 dependent: assign(max_weight, 60).
% 0.12/0.35 clear(print_given).
% 0.12/0.35
% 0.12/0.35 list(usable).
% 0.12/0.35
% 0.12/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.12/0.35
% 0.12/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.35 clauses in usable.
% 0.12/0.35
% 0.12/0.35 dependent: set(knuth_bendix).
% 0.12/0.35 dependent: set(para_from).
% 0.12/0.35 dependent: set(para_into).
% 0.12/0.35 dependent: clear(para_from_right).
% 0.12/0.35 dependent: clear(para_into_right).
% 0.12/0.35 dependent: set(para_from_vars).
% 0.12/0.35 dependent: set(eq_units_both_ways).
% 0.12/0.35 dependent: set(dynamic_demod_all).
% 0.12/0.35 dependent: set(dynamic_demod).
% 0.12/0.35 dependent: set(order_eq).
% 0.12/0.35 dependent: set(back_demod).
% 0.12/0.35 dependent: set(lrpo).
% 0.12/0.35 dependent: set(hyper_res).
% 0.12/0.35 dependent: set(unit_deletion).
% 0.12/0.35 dependent: set(factor).
% 0.12/0.35
% 0.12/0.35 ------------> process usable:
% 0.12/0.35
% 0.12/0.35 ------------> process sos:
% 0.12/0.35 Following clause subsumed by 165 during input processing: 0 [copy,165,flip.1] {-} A=A.
% 0.12/0.35 165 back subsumes 75.
% 0.12/0.35
% 0.12/0.35 ======= end of input processing =======
% 0.94/1.13
% 0.94/1.13 Model 1 (0.00 seconds, 0 Inserts)
% 0.94/1.13
% 0.94/1.13 Stopped by limit on number of solutions
% 0.94/1.13
% 0.94/1.13
% 0.94/1.13 -------------- Softie stats --------------
% 0.94/1.13
% 0.94/1.13 UPDATE_STOP: 300
% 0.94/1.13 SFINDER_TIME_LIMIT: 2
% 0.94/1.13 SHORT_CLAUSE_CUTOFF: 4
% 0.94/1.13 number of clauses in intial UL: 61
% 0.94/1.13 number of clauses initially in problem: 146
% 0.94/1.13 percentage of clauses intially in UL: 41
% 0.94/1.13 percentage of distinct symbols occuring in initial UL: 64
% 0.94/1.13 percent of all initial clauses that are short: 100
% 0.94/1.13 absolute distinct symbol count: 59
% 0.94/1.13 distinct predicate count: 11
% 0.94/1.13 distinct function count: 34
% 0.94/1.13 distinct constant count: 14
% 0.94/1.13
% 0.94/1.13 ---------- no more Softie stats ----------
% 0.94/1.13
% 0.94/1.13
% 0.94/1.13
% 0.94/1.13 Stopped by limit on insertions
% 0.94/1.13
% 0.94/1.13 =========== start of search ===========
% 10.41/10.61
% 10.41/10.61 -- HEY sandbox2, WE HAVE A PROOF!! --
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Model 2 [ 2 1 11487 ] (0.00 seconds, 250000 Inserts)
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Model 3 [ 18 1 4690 ] (0.00 seconds, 250000 Inserts)
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Model 4 [ 43 1 4652 ] (0.00 seconds, 250000 Inserts)
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Model 5 [ 42 10 107162 ] (0.00 seconds, 250000 Inserts)
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Model 6 [ 60 2 11812 ] (0.00 seconds, 250000 Inserts)
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Model 7 [ 49 3 25425 ] (0.00 seconds, 250000 Inserts)
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Model 8 [ 45 2 8118 ] (0.00 seconds, 250000 Inserts)
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Model 9 [ 54 2 6653 ] (0.00 seconds, 250000 Inserts)
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 Stopped by limit on insertions
% 10.41/10.61
% 10.41/10.61 ----> UNIT CONFLICT at 10.22 sec ----> 9796 [binary,9795.1,186.1] {-} $F.
% 10.41/10.61
% 10.41/10.61 Length of proof is 4. Level of proof is 4.
% 10.41/10.61
% 10.41/10.61 ---------------- PROOF ----------------
% 10.41/10.61 % SZS status Unsatisfiable
% 10.41/10.61 % SZS output start Refutation
% 10.41/10.61
% 10.41/10.61 1 [] {+} -subclass(A,B)| -member(C,A)|member(C,B).
% 10.41/10.61 12 [] {+} -member(A,cross_product(B,C))|ordered_pair(first(A),second(A))=A.
% 10.41/10.61 73 [] {+} -member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),x).
% 10.41/10.61 74 [] {+} -subclass(x,y).
% 10.41/10.61 83 [] {-} member(not_subclass_element(A,B),A)|subclass(A,B).
% 10.41/10.61 164 [] {+} subclass(x,cross_product(universal_class,universal_class)).
% 10.41/10.61 186 [hyper,83,74] {-} member(not_subclass_element(x,y),x).
% 10.41/10.61 1295 [hyper,164,1,186] {-} member(not_subclass_element(x,y),cross_product(universal_class,universal_class)).
% 10.41/10.61 9651,9650 [hyper,1295,12] {-} ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y)))=not_subclass_element(x,y).
% 10.41/10.61 9795 [back_demod,73,demod,9651] {-} -member(not_subclass_element(x,y),x).
% 10.41/10.61 9796 [binary,9795.1,186.1] {-} $F.
% 10.41/10.61
% 10.41/10.61 % SZS output end Refutation
% 10.41/10.61 ------------ end of proof -------------
% 10.41/10.61
% 10.41/10.61
% 10.41/10.61 Search stopped by max_proofs option.
% 10.41/10.61
% 10.41/10.61
% 10.41/10.61 Search stopped by max_proofs option.
% 10.41/10.61
% 10.41/10.61 ============ end of search ============
% 10.41/10.61
% 10.41/10.61 ----------- soft-scott stats ----------
% 10.41/10.61
% 10.41/10.61 true clauses given 14 (11.9%)
% 10.41/10.61 false clauses given 104
% 10.41/10.61
% 10.41/10.61 FALSE TRUE
% 10.41/10.61 7 14 23
% 10.41/10.61 8 47 21
% 10.41/10.61 9 329 77
% 10.41/10.61 10 158 106
% 10.41/10.61 11 981 217
% 10.41/10.61 12 238 220
% 10.41/10.61 13 853 281
% 10.41/10.61 14 10 113
% 10.41/10.61 15 189 396
% 10.41/10.61 16 0 47
% 10.41/10.61 17 5 154
% 10.41/10.61 18 0 36
% 10.41/10.61 19 0 105
% 10.41/10.61 20 1 35
% 10.41/10.61 21 0 20
% 10.41/10.61 22 0 17
% 10.41/10.61 23 0 42
% 10.41/10.61 24 0 18
% 10.41/10.61 25 0 6
% 10.41/10.61 26 0 10
% 10.41/10.61 27 0 39
% 10.41/10.61 28 0 14
% 10.41/10.61 29 0 32
% 10.41/10.61 30 0 19
% 10.41/10.61 31 0 20
% 10.41/10.61 32 0 27
% 10.41/10.61 33 0 14
% 10.41/10.61 34 0 19
% 10.41/10.61 35 0 6
% 10.41/10.61 36 0 11
% 10.41/10.61 37 0 1
% 10.41/10.61 38 0 1
% 10.41/10.61 39 0 2
% 10.41/10.61 41 0 1
% 10.41/10.61 42 0 2
% 10.41/10.61 46 0 4
% 10.41/10.61 48 0 6
% 10.41/10.61 50 0 6
% 10.41/10.61 52 0 2
% 10.41/10.61 55 0 1
% 10.41/10.61 57 0 3
% 10.41/10.61 59 0 3
% 10.41/10.61 60 0 2
% 10.41/10.61 tot: 2825 2179 (43.5% true)
% 10.41/10.61
% 10.41/10.61
% 10.41/10.61 Model 9 [ 54 -96 6653 ] (0.00 seconds, 250000 Inserts)
% 10.41/10.61
% 10.41/10.61 That finishes the proof of the theorem.
% 10.41/10.61
% 10.41/10.61 Process 2695 finished Mon Jul 11 03:06:23 2022
%------------------------------------------------------------------------------