TSTP Solution File: SET002-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n005.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 05:13:56 EDT 2022
% Result : Unsatisfiable 1.50s 1.70s
% Output : Refutation 1.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 10:04:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.36 ----- Otter 3.2, August 2001 -----
% 0.12/0.36 The process was started by sandbox on n005.cluster.edu,
% 0.12/0.36 Mon Jul 11 10:04:22 2022
% 0.12/0.36 The command was "./sos". The process ID is 12514.
% 0.12/0.36
% 0.12/0.36 set(prolog_style_variables).
% 0.12/0.36 set(auto).
% 0.12/0.36 dependent: set(auto1).
% 0.12/0.36 dependent: set(process_input).
% 0.12/0.36 dependent: clear(print_kept).
% 0.12/0.36 dependent: clear(print_new_demod).
% 0.12/0.36 dependent: clear(print_back_demod).
% 0.12/0.36 dependent: clear(print_back_sub).
% 0.12/0.36 dependent: set(control_memory).
% 0.12/0.36 dependent: assign(max_mem, 12000).
% 0.12/0.36 dependent: assign(pick_given_ratio, 4).
% 0.12/0.36 dependent: assign(stats_level, 1).
% 0.12/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36 dependent: assign(sos_limit, 5000).
% 0.12/0.36 dependent: assign(max_weight, 60).
% 0.12/0.36 clear(print_given).
% 0.12/0.36
% 0.12/0.36 list(usable).
% 0.12/0.36
% 0.12/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.12/0.36
% 0.12/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.36 clauses in usable.
% 0.12/0.36
% 0.12/0.36 dependent: set(knuth_bendix).
% 0.12/0.36 dependent: set(para_from).
% 0.12/0.36 dependent: set(para_into).
% 0.12/0.36 dependent: clear(para_from_right).
% 0.12/0.36 dependent: clear(para_into_right).
% 0.12/0.36 dependent: set(para_from_vars).
% 0.12/0.36 dependent: set(eq_units_both_ways).
% 0.12/0.36 dependent: set(dynamic_demod_all).
% 0.12/0.36 dependent: set(dynamic_demod).
% 0.12/0.36 dependent: set(order_eq).
% 0.12/0.36 dependent: set(back_demod).
% 0.12/0.36 dependent: set(lrpo).
% 0.12/0.36 dependent: set(hyper_res).
% 0.12/0.36 dependent: set(unit_deletion).
% 0.12/0.36 dependent: set(factor).
% 0.12/0.36
% 0.12/0.36 ------------> process usable:
% 0.12/0.36
% 0.12/0.36 ------------> process sos:
% 0.12/0.36
% 0.12/0.36 ======= end of input processing =======
% 0.12/0.40
% 0.12/0.40 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.40
% 0.12/0.40 Stopped by limit on number of solutions
% 0.12/0.40
% 0.12/0.40
% 0.12/0.40 -------------- Softie stats --------------
% 0.12/0.40
% 0.12/0.40 UPDATE_STOP: 300
% 0.12/0.40 SFINDER_TIME_LIMIT: 2
% 0.12/0.40 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.40 number of clauses in intial UL: 15
% 0.12/0.40 number of clauses initially in problem: 22
% 0.12/0.40 percentage of clauses intially in UL: 68
% 0.12/0.40 percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.40 percent of all initial clauses that are short: 100
% 0.12/0.40 absolute distinct symbol count: 8
% 0.12/0.40 distinct predicate count: 4
% 0.12/0.40 distinct function count: 2
% 0.12/0.40 distinct constant count: 2
% 0.12/0.40
% 0.12/0.40 ---------- no more Softie stats ----------
% 0.12/0.40
% 0.12/0.40
% 0.12/0.40
% 0.12/0.40 Model 2 (0.00 seconds, 0 Inserts)
% 0.12/0.40
% 0.12/0.40 Stopped by limit on number of solutions
% 0.12/0.40
% 0.12/0.40 =========== start of search ===========
% 1.50/1.70
% 1.50/1.70 -------- PROOF --------
% 1.50/1.70 % SZS status Unsatisfiable
% 1.50/1.70 % SZS output start Refutation
% 1.50/1.70
% 1.50/1.70 Stopped by limit on insertions
% 1.50/1.70
% 1.50/1.70 Model 3 [ 1 1 327 ] (0.00 seconds, 250000 Inserts)
% 1.50/1.70
% 1.50/1.70 Stopped by limit on insertions
% 1.50/1.70
% 1.50/1.70 Model 4 [ 1 1 106 ] (0.00 seconds, 250000 Inserts)
% 1.50/1.70
% 1.50/1.70 Stopped by limit on insertions
% 1.50/1.70
% 1.50/1.70 Model 5 [ 1 1 308 ] (0.00 seconds, 250000 Inserts)
% 1.50/1.70
% 1.50/1.70 Stopped by limit on insertions
% 1.50/1.70
% 1.50/1.70 Model 6 [ 3 0 98 ] (0.00 seconds, 250000 Inserts)
% 1.50/1.70
% 1.50/1.70 Stopped by limit on insertions
% 1.50/1.70
% 1.50/1.70 Model 7 [ 1 1 524 ] (0.00 seconds, 250000 Inserts)
% 1.50/1.70
% 1.50/1.70 Stopped by limit on insertions
% 1.50/1.70
% 1.50/1.70 Model 8 [ 2 1 955 ] (0.00 seconds, 250000 Inserts)
% 1.50/1.70
% 1.50/1.70 Stopped by limit on insertions
% 1.50/1.70
% 1.50/1.70 Model 9 [ 2 0 192 ] (0.00 seconds, 250000 Inserts)
% 1.50/1.70
% 1.50/1.70 Stopped by limit on insertions
% 1.50/1.70
% 1.50/1.70 Model 10 [ 8 1 102 ] (0.00 seconds, 250000 Inserts)
% 1.50/1.70
% 1.50/1.70 Stopped by limit on insertions
% 1.50/1.70
% 1.50/1.70 Model 11 [ 2 0 700 ] (0.00 seconds, 250000 Inserts)
% 1.50/1.70
% 1.50/1.70 Stopped by limit on insertions
% 1.50/1.70
% 1.50/1.70 Model 12 [ 9 1 98 ] (0.00 seconds, 250000 Inserts)
% 1.50/1.70
% 1.50/1.70 Stopped by limit on insertions
% 1.50/1.70
% 1.50/1.70 Model 13 [ 10 1 154 ] (0.00 seconds, 250000 Inserts)
% 1.50/1.70
% 1.50/1.70 Stopped by limit on insertions
% 1.50/1.70
% 1.50/1.70 Model 14 [ 10 5 193285 ] (0.00 seconds, 250000 Inserts)
% 1.50/1.70
% 1.50/1.70 Stopped by limit on insertions
% 1.50/1.70
% 1.50/1.70 Model 15 [ 6 0 104 ] (0.00 seconds, 250000 Inserts)
% 1.50/1.70
% 1.50/1.70 Stopped by limit on insertions
% 1.50/1.70
% 1.50/1.70 Model 16 [ 18 0 118 ] (0.00 seconds, 250000 Inserts)
% 1.50/1.70
% 1.50/1.70 Stopped by limit on insertions
% 1.50/1.70
% 1.50/1.70 Model 17 [ 11 1 300 ] (0.00 seconds, 250000 Inserts)
% 1.50/1.70
% 1.50/1.70 Stopped by limit on insertions
% 1.50/1.70
% 1.50/1.70 Model 18 [ 9 0 98 ] (0.00 seconds, 250000 Inserts)
% 1.50/1.70
% 1.50/1.70 ----> UNIT CONFLICT at 1.32 sec ----> 535 [binary,533.1,11.1] {+} $F.
% 1.50/1.70
% 1.50/1.70 Length of proof is 16. Level of proof is 10.
% 1.50/1.70
% 1.50/1.70 ---------------- PROOF ----------------
% 1.50/1.70 % SZS status Unsatisfiable
% 1.50/1.70 % SZS output start Refutation
% 1.50/1.70
% 1.50/1.70 2 [] {+} -member(member_of_1_not_of_2(A,B),B)|subset(A,B).
% 1.50/1.70 5 [] {+} -subset(A,B)| -subset(B,A)|equal_sets(B,A).
% 1.50/1.70 6 [] {+} -union(A,B,C)| -member(D,C)|member(D,A)|member(D,B).
% 1.50/1.70 8 [] {+} -union(A,B,C)| -member(D,B)|member(D,C).
% 1.50/1.70 9 [] {+} -member(g(A,B,C),A)| -member(g(A,B,C),C)|union(A,B,C).
% 1.50/1.70 11 [] {+} -equal_sets(aUa,a).
% 1.50/1.70 13 [factor,6.3.4] {+} -union(A,A,B)| -member(C,B)|member(C,A).
% 1.50/1.70 14 [factor,9.1.2] {+} -member(g(A,B,A),A)|union(A,B,A).
% 1.50/1.70 16 [] {+} subset(A,B)|member(member_of_1_not_of_2(A,B),A).
% 1.50/1.70 17 [] {-} union(A,B,C)|member(g(A,B,C),A)|member(g(A,B,C),B)|member(g(A,B,C),C).
% 1.50/1.70 18 [] {+} union(a,a,aUa).
% 1.50/1.70 24 [hyper,16,5,16] {-} member(member_of_1_not_of_2(A,B),A)|equal_sets(A,B)|member(member_of_1_not_of_2(B,A),B).
% 1.50/1.70 39 [hyper,17,8,18] {-} union(A,a,B)|member(g(A,a,B),A)|member(g(A,a,B),B)|member(g(A,a,B),aUa).
% 1.50/1.70 56 [factor,39.2.3] {+} union(A,a,A)|member(g(A,a,A),A)|member(g(A,a,A),aUa).
% 1.50/1.70 75 [factor,56.2.3] {-} union(aUa,a,aUa)|member(g(aUa,a,aUa),aUa).
% 1.50/1.70 117 [hyper,24,13,18] {-} equal_sets(aUa,A)|member(member_of_1_not_of_2(A,aUa),A)|member(member_of_1_not_of_2(aUa,A),a).
% 1.50/1.70 164 [hyper,117,2,unit_del,11] {-} member(member_of_1_not_of_2(a,aUa),a)|subset(aUa,a).
% 1.50/1.70 203 [hyper,75,14,factor_simp] {+} union(aUa,a,aUa).
% 1.50/1.70 218 [hyper,164,5,16,unit_del,11,factor_simp] {+} member(member_of_1_not_of_2(a,aUa),a).
% 1.50/1.70 219 [hyper,218,8,203] {+} member(member_of_1_not_of_2(a,aUa),aUa).
% 1.50/1.70 229 [hyper,219,2] {+} subset(a,aUa).
% 1.50/1.70 332 [hyper,229,5,16,unit_del,11] {+} member(member_of_1_not_of_2(aUa,a),aUa).
% 1.50/1.70 404 [hyper,332,13,18] {+} member(member_of_1_not_of_2(aUa,a),a).
% 1.50/1.70 415 [hyper,404,2] {+} subset(aUa,a).
% 1.50/1.70 533 [hyper,415,5,229] {-} equal_sets(aUa,a).
% 1.50/1.70 535 [binary,533.1,11.1] {+} $F.
% 1.50/1.70
% 1.50/1.70 % SZS output end Refutation
% 1.50/1.70 ------------ end of proof -------------
% 1.50/1.70
% 1.50/1.70
% 1.50/1.70 Search stopped by max_proofs option.
% 1.50/1.70
% 1.50/1.70
% 1.50/1.70 Search stopped by max_proofs option.
% 1.50/1.70
% 1.50/1.70 ============ end of search ============
% 1.50/1.70
% 1.50/1.70 ----------- soft-scott stats ----------
% 1.50/1.70
% 1.50/1.70 true clauses given 7 (16.3%)
% 1.50/1.70 false clauses given 36
% 1.50/1.70
% 1.50/1.70 FALSE TRUE
% 1.50/1.70 9 0 1
% 1.50/1.70 10 4 17
% 1.50/1.70 11 3 9
% 1.50/1.70 13 5 7
% 1.50/1.70 14 0 28
% 1.50/1.70 15 9 26
% 1.50/1.70 16 3 33
% 1.50/1.70 18 4 0
% 1.50/1.70 19 6 7
% 1.50/1.70 20 0 31
% 1.50/1.70 21 16 39
% 1.50/1.70 22 5 19
% 1.50/1.70 23 6 1
% 1.50/1.70 24 2 0
% 1.50/1.70 25 4 5
% 1.50/1.70 26 6 30
% 1.50/1.70 27 13 7
% 1.50/1.70 28 4 6
% 1.50/1.70 29 1 3
% 1.50/1.70 30 3 2
% 1.50/1.70 31 6 3
% 1.50/1.70 32 9 21
% 1.50/1.70 35 2 5
% 1.50/1.70 36 3 0
% 1.50/1.70 37 1 2
% 1.50/1.70 38 6 3
% 1.50/1.70 41 1 3
% 1.50/1.70 43 3 0
% 1.50/1.70 tot: 125 308 (71.1% true)
% 1.50/1.70
% 1.50/1.70
% 1.50/1.70 Model 18 [ 9 0 98 ] (0.00 seconds, 250000 Inserts)
% 1.50/1.70
% 1.50/1.70 That finishes the proof of the theorem.
% 1.50/1.70
% 1.50/1.70 Process 12514 finished Mon Jul 11 10:04:23 2022
%------------------------------------------------------------------------------