TSTP Solution File: NUM009-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : NUM009-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n028.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 : Mon Jul 18 14:15:45 EDT 2022
% Result : Unsatisfiable 6.24s 6.47s
% Output : Refutation 6.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM009-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : sos-script %s
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jul 7 12:16:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.38 ----- Otter 3.2, August 2001 -----
% 0.12/0.38 The process was started by sandbox on n028.cluster.edu,
% 0.12/0.38 Thu Jul 7 12:16:38 2022
% 0.12/0.38 The command was "./sos". The process ID is 23630.
% 0.12/0.38
% 0.12/0.38 set(prolog_style_variables).
% 0.12/0.38 set(auto).
% 0.12/0.38 dependent: set(auto1).
% 0.12/0.38 dependent: set(process_input).
% 0.12/0.38 dependent: clear(print_kept).
% 0.12/0.38 dependent: clear(print_new_demod).
% 0.12/0.38 dependent: clear(print_back_demod).
% 0.12/0.38 dependent: clear(print_back_sub).
% 0.12/0.38 dependent: set(control_memory).
% 0.12/0.38 dependent: assign(max_mem, 12000).
% 0.12/0.38 dependent: assign(pick_given_ratio, 4).
% 0.12/0.38 dependent: assign(stats_level, 1).
% 0.12/0.38 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.38 dependent: assign(sos_limit, 5000).
% 0.12/0.38 dependent: assign(max_weight, 60).
% 0.12/0.38 clear(print_given).
% 0.12/0.38
% 0.12/0.38 list(usable).
% 0.12/0.38
% 0.12/0.38 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.12/0.38
% 0.12/0.38 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.38 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.38 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.38 clauses in usable.
% 0.12/0.38
% 0.12/0.38 dependent: set(knuth_bendix).
% 0.12/0.38 dependent: set(para_from).
% 0.12/0.38 dependent: set(para_into).
% 0.12/0.38 dependent: clear(para_from_right).
% 0.12/0.38 dependent: clear(para_into_right).
% 0.12/0.38 dependent: set(para_from_vars).
% 0.12/0.38 dependent: set(eq_units_both_ways).
% 0.12/0.38 dependent: set(dynamic_demod_all).
% 0.12/0.38 dependent: set(dynamic_demod).
% 0.12/0.38 dependent: set(order_eq).
% 0.12/0.38 dependent: set(back_demod).
% 0.12/0.38 dependent: set(lrpo).
% 0.12/0.38 dependent: set(hyper_res).
% 0.12/0.38 dependent: set(unit_deletion).
% 0.12/0.38 dependent: set(factor).
% 0.12/0.38
% 0.12/0.38 ------------> process usable:
% 0.12/0.38
% 0.12/0.38 ------------> process sos:
% 0.12/0.38 Following clause subsumed by 322 during input processing: 0 [copy,322,flip.1] {-} A=A.
% 0.12/0.38 322 back subsumes 244.
% 0.12/0.38 322 back subsumes 205.
% 0.12/0.38
% 0.12/0.38 ======= end of input processing =======
% 0.76/0.93
% 0.76/0.93 Model 1 (0.00 seconds, 0 Inserts)
% 0.76/0.93
% 0.76/0.93 Stopped by limit on number of solutions
% 0.76/0.93
% 0.76/0.93
% 0.76/0.93 -------------- Softie stats --------------
% 0.76/0.93
% 0.76/0.93 UPDATE_STOP: 300
% 0.76/0.93 SFINDER_TIME_LIMIT: 2
% 0.76/0.93 SHORT_CLAUSE_CUTOFF: 4
% 0.76/0.93 number of clauses in intial UL: 158
% 0.76/0.93 number of clauses initially in problem: 282
% 0.76/0.93 percentage of clauses intially in UL: 56
% 0.76/0.93 percentage of distinct symbols occuring in initial UL: 89
% 0.76/0.93 percent of all initial clauses that are short: 100
% 0.76/0.93 absolute distinct symbol count: 111
% 0.76/0.93 distinct predicate count: 20
% 0.76/0.93 distinct function count: 79
% 0.76/0.93 distinct constant count: 12
% 0.76/0.93
% 0.76/0.93 ---------- no more Softie stats ----------
% 0.76/0.93
% 0.76/0.93
% 0.76/0.93
% 0.76/0.93 Model 2 (0.00 seconds, 0 Inserts)
% 0.76/0.93
% 0.76/0.93 Stopped by limit on number of solutions
% 0.76/0.93
% 0.76/0.94 =========== start of search ===========
% 6.24/6.47
% 6.24/6.47 -------- PROOF --------
% 6.24/6.47 % SZS status Unsatisfiable
% 6.24/6.47 % SZS output start Refutation
% 6.24/6.47
% 6.24/6.47 Model 3 (0.00 seconds, 0 Inserts)
% 6.24/6.47
% 6.24/6.47 Stopped by limit on number of solutions
% 6.24/6.47
% 6.24/6.47 Stopped by limit on insertions
% 6.24/6.47
% 6.24/6.47 Stopped by limit on insertions
% 6.24/6.47
% 6.24/6.47 Model 4 [ 1 2 11340 ] (0.00 seconds, 250000 Inserts)
% 6.24/6.47
% 6.24/6.47 Stopped by limit on insertions
% 6.24/6.47
% 6.24/6.47 Model 5 [ 4 30 230928 ] (0.00 seconds, 250000 Inserts)
% 6.24/6.47
% 6.24/6.47 Stopped by limit on insertions
% 6.24/6.47
% 6.24/6.47 Stopped by limit on insertions
% 6.24/6.47
% 6.24/6.47 Stopped by limit on insertions
% 6.24/6.47
% 6.24/6.47 Model 6 [ 6 34 234690 ] (0.00 seconds, 250000 Inserts)
% 6.24/6.47
% 6.24/6.47 Stopped by limit on insertions
% 6.24/6.47
% 6.24/6.47 ----> UNIT CONFLICT at 6.08 sec ----> 1576 [binary,1575.1,204.1] {+} $F.
% 6.24/6.47
% 6.24/6.47 Length of proof is 3. Level of proof is 3.
% 6.24/6.47
% 6.24/6.47 ---------------- PROOF ----------------
% 6.24/6.47 % SZS status Unsatisfiable
% 6.24/6.47 % SZS output start Refutation
% 6.24/6.47
% 6.24/6.47 1 [] {+} -member(A,B)|little_set(A).
% 6.24/6.47 153 [] {+} member(A,natural_numbers)| -little_set(A)|member(empty_set,f44(A)).
% 6.24/6.47 155 [] {+} member(A,natural_numbers)| -member(A,f44(A)).
% 6.24/6.47 204 [] {+} -member(empty_set,natural_numbers).
% 6.24/6.47 297 [] {-} member(empty_set,infinity).
% 6.24/6.47 1330 [hyper,297,1] {-} little_set(empty_set).
% 6.24/6.47 1361 [hyper,1330,153,unit_del,204] {-} member(empty_set,f44(empty_set)).
% 6.24/6.47 1575 [hyper,1361,155] {-} member(empty_set,natural_numbers).
% 6.24/6.47 1576 [binary,1575.1,204.1] {+} $F.
% 6.24/6.47
% 6.24/6.47 % SZS output end Refutation
% 6.24/6.47 ------------ end of proof -------------
% 6.24/6.47
% 6.24/6.47
% 6.24/6.47 Search stopped by max_proofs option.
% 6.24/6.47
% 6.24/6.47
% 6.24/6.47 Search stopped by max_proofs option.
% 6.24/6.47
% 6.24/6.47 ============ end of search ============
% 6.24/6.47
% 6.24/6.47 ----------- soft-scott stats ----------
% 6.24/6.47
% 6.24/6.47 true clauses given 0 (0.0%)
% 6.24/6.47 false clauses given 14
% 6.24/6.47
% 6.24/6.47 FALSE TRUE
% 6.24/6.47 3 0 4
% 6.24/6.47 4 7 5
% 6.24/6.47 5 12 1
% 6.24/6.47 6 7 7
% 6.24/6.47 7 7 18
% 6.24/6.47 8 24 32
% 6.24/6.47 9 13 14
% 6.24/6.47 10 6 29
% 6.24/6.47 11 10 25
% 6.24/6.47 12 20 51
% 6.24/6.47 13 16 24
% 6.24/6.47 14 12 17
% 6.24/6.47 15 11 24
% 6.24/6.47 16 9 26
% 6.24/6.47 17 23 32
% 6.24/6.47 18 8 16
% 6.24/6.47 19 9 33
% 6.24/6.47 20 17 27
% 6.24/6.47 21 19 38
% 6.24/6.47 22 27 70
% 6.24/6.47 23 9 17
% 6.24/6.47 24 3 18
% 6.24/6.47 25 2 14
% 6.24/6.47 26 11 12
% 6.24/6.47 27 20 14
% 6.24/6.47 28 15 25
% 6.24/6.47 29 19 38
% 6.24/6.47 30 32 13
% 6.24/6.47 31 3 29
% 6.24/6.47 32 0 16
% 6.24/6.47 33 20 8
% 6.24/6.47 34 5 6
% 6.24/6.47 35 0 18
% 6.24/6.47 36 22 15
% 6.24/6.47 37 1 0
% 6.24/6.47 38 0 22
% 6.24/6.47 39 6 6
% 6.24/6.47 40 3 14
% 6.24/6.47 41 0 2
% 6.24/6.47 42 0 2
% 6.24/6.47 43 2 1
% 6.24/6.47 44 2 5
% 6.24/6.47 45 0 10
% 6.24/6.47 46 3 3
% 6.24/6.47 47 0 3
% 6.24/6.47 48 0 3
% 6.24/6.47 49 1 0
% 6.24/6.47 52 0 4
% 6.24/6.47 53 0 2
% 6.24/6.47 54 1 0
% 6.24/6.47 55 0 6
% 6.24/6.47 56 0 1
% 6.24/6.47 59 0 4
% 6.24/6.47 tot: 437 824 (65.3% true)
% 6.24/6.47
% 6.24/6.47
% 6.24/6.47 Model 6 [ 6 -183 234690 ] (0.00 seconds, 250000 Inserts)
% 6.24/6.47
% 6.24/6.47 That finishes the proof of the theorem.
% 6.24/6.47
% 6.24/6.47 Process 23630 finished Thu Jul 7 12:16:44 2022
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