TSTP Solution File: SET873+1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET873+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n023.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 05:21:30 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET873+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n023.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 : Sat Jul 9 20:28:40 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 n023.cluster.edu,
% 0.12/0.35 Sat Jul 9 20:28:40 2022
% 0.12/0.35 The command was "./sos". The process ID is 18157.
% 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 formula_list(usable).
% 0.12/0.35
% 0.12/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 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 11 during input processing: 0 [copy,11,flip.1] {-} set_union2(A,B)=set_union2(B,A).
% 0.12/0.35 Following clause subsumed by 19 during input processing: 0 [copy,19,flip.1] {-} A=A.
% 0.12/0.35
% 0.12/0.35 ======= end of input processing =======
% 0.18/0.44
% 0.18/0.44 Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.44
% 0.18/0.44 Stopped by limit on number of solutions
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 -------------- Softie stats --------------
% 0.18/0.44
% 0.18/0.44 UPDATE_STOP: 300
% 0.18/0.44 SFINDER_TIME_LIMIT: 2
% 0.18/0.44 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.44 number of clauses in intial UL: 10
% 0.18/0.44 number of clauses initially in problem: 19
% 0.18/0.44 percentage of clauses intially in UL: 52
% 0.18/0.44 percentage of distinct symbols occuring in initial UL: 90
% 0.18/0.44 percent of all initial clauses that are short: 100
% 0.18/0.44 absolute distinct symbol count: 11
% 0.18/0.44 distinct predicate count: 4
% 0.18/0.44 distinct function count: 3
% 0.18/0.44 distinct constant count: 4
% 0.18/0.44
% 0.18/0.44 ---------- no more Softie stats ----------
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 =========== start of search ===========
% 0.18/0.50
% 0.18/0.50 -------- PROOF --------
% 0.18/0.50 % SZS status Theorem
% 0.18/0.50 % SZS output start Refutation
% 0.18/0.50
% 0.18/0.50 Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.50
% 0.18/0.50 Stopped by limit on number of solutions
% 0.18/0.50
% 0.18/0.50 Model 3 (0.00 seconds, 0 Inserts)
% 0.18/0.50
% 0.18/0.50 Stopped by limit on number of solutions
% 0.18/0.50
% 0.18/0.50 Model 4 (0.00 seconds, 0 Inserts)
% 0.18/0.50
% 0.18/0.50 Stopped by limit on number of solutions
% 0.18/0.50
% 0.18/0.50 Model 5 [ 1 0 62 ] (0.00 seconds, 1105 Inserts)
% 0.18/0.50
% 0.18/0.50 ----> UNIT CONFLICT at 0.05 sec ----> 141 [binary,139.1,9.1] {-} $F.
% 0.18/0.50
% 0.18/0.50 Length of proof is 3. Level of proof is 3.
% 0.18/0.50
% 0.18/0.50 ---------------- PROOF ----------------
% 0.18/0.50 % SZS status Theorem
% 0.18/0.50 % SZS output start Refutation
% 0.18/0.50
% 0.18/0.50 2 [] {+} A!=singleton(B)| -in(C,A)|C=B.
% 0.18/0.50 7 [] {+} -subset(set_union2(singleton(A),B),B)|in(A,B).
% 0.18/0.50 9 [] {+} $c4!=$c3.
% 0.18/0.50 11 [] {+} set_union2(A,B)=set_union2(B,A).
% 0.18/0.50 16 [] {+} subset(A,A).
% 0.18/0.50 17 [] {-} set_union2(singleton($c4),singleton($c3))=singleton($c4).
% 0.18/0.50 19 [] {+} A=A.
% 0.18/0.50 69 [para_into,17.1.1,11.1.1] {-} set_union2(singleton($c3),singleton($c4))=singleton($c4).
% 0.18/0.50 138 [para_from,69.1.1,7.1.1,unit_del,16] {-} in($c3,singleton($c4)).
% 0.18/0.50 139 [hyper,138,2,19,flip.1] {-} $c4=$c3.
% 0.18/0.50 141 [binary,139.1,9.1] {-} $F.
% 0.18/0.50
% 0.18/0.50 % SZS output end Refutation
% 0.18/0.50 ------------ end of proof -------------
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 Search stopped by max_proofs option.
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 Search stopped by max_proofs option.
% 0.18/0.50
% 0.18/0.50 ============ end of search ============
% 0.18/0.50
% 0.18/0.50 ----------- soft-scott stats ----------
% 0.18/0.50
% 0.18/0.50 true clauses given 4 (30.8%)
% 0.18/0.50 false clauses given 9
% 0.18/0.50
% 0.18/0.50 FALSE TRUE
% 0.18/0.50 9 0 3
% 0.18/0.50 10 0 1
% 0.18/0.50 11 0 1
% 0.18/0.50 13 5 2
% 0.18/0.50 14 1 3
% 0.18/0.50 15 8 3
% 0.18/0.50 17 4 4
% 0.18/0.50 19 6 6
% 0.18/0.50 21 6 7
% 0.18/0.50 22 2 3
% 0.18/0.50 23 2 4
% 0.18/0.50 24 0 1
% 0.18/0.50 25 1 5
% 0.18/0.50 26 0 2
% 0.18/0.50 29 3 12
% 0.18/0.50 32 0 1
% 0.18/0.50 34 0 3
% 0.18/0.50 35 0 2
% 0.18/0.50 37 1 5
% 0.18/0.50 39 0 1
% 0.18/0.50 41 1 3
% 0.18/0.50 tot: 40 72 (64.3% true)
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 Model 5 [ 1 -2 62 ] (0.00 seconds, 1105 Inserts)
% 0.18/0.50
% 0.18/0.50 That finishes the proof of the theorem.
% 0.18/0.50
% 0.18/0.50 Process 18157 finished Sat Jul 9 20:28:40 2022
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