TSTP Solution File: SET204-6 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET204-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n011.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 8.72s 8.99s
% Output : Refutation 8.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET204-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 03:34:57 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.37 ----- Otter 3.2, August 2001 -----
% 0.19/0.37 The process was started by sandbox on n011.cluster.edu,
% 0.19/0.37 Mon Jul 11 03:34:57 2022
% 0.19/0.37 The command was "./sos". The process ID is 15035.
% 0.19/0.37
% 0.19/0.37 set(prolog_style_variables).
% 0.19/0.37 set(auto).
% 0.19/0.37 dependent: set(auto1).
% 0.19/0.37 dependent: set(process_input).
% 0.19/0.37 dependent: clear(print_kept).
% 0.19/0.37 dependent: clear(print_new_demod).
% 0.19/0.37 dependent: clear(print_back_demod).
% 0.19/0.37 dependent: clear(print_back_sub).
% 0.19/0.37 dependent: set(control_memory).
% 0.19/0.37 dependent: assign(max_mem, 12000).
% 0.19/0.37 dependent: assign(pick_given_ratio, 4).
% 0.19/0.37 dependent: assign(stats_level, 1).
% 0.19/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.37 dependent: assign(sos_limit, 5000).
% 0.19/0.37 dependent: assign(max_weight, 60).
% 0.19/0.37 clear(print_given).
% 0.19/0.37
% 0.19/0.37 list(usable).
% 0.19/0.37
% 0.19/0.37 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.19/0.37
% 0.19/0.37 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.37 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.37 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.37 clauses in usable.
% 0.19/0.37
% 0.19/0.37 dependent: set(knuth_bendix).
% 0.19/0.37 dependent: set(para_from).
% 0.19/0.37 dependent: set(para_into).
% 0.19/0.37 dependent: clear(para_from_right).
% 0.19/0.37 dependent: clear(para_into_right).
% 0.19/0.37 dependent: set(para_from_vars).
% 0.19/0.37 dependent: set(eq_units_both_ways).
% 0.19/0.37 dependent: set(dynamic_demod_all).
% 0.19/0.37 dependent: set(dynamic_demod).
% 0.19/0.37 dependent: set(order_eq).
% 0.19/0.37 dependent: set(back_demod).
% 0.19/0.37 dependent: set(lrpo).
% 0.19/0.37 dependent: set(hyper_res).
% 0.19/0.37 dependent: set(unit_deletion).
% 0.19/0.37 dependent: set(factor).
% 0.19/0.37
% 0.19/0.37 ------------> process usable:
% 0.19/0.37
% 0.19/0.37 ------------> process sos:
% 0.19/0.37 Following clause subsumed by 164 during input processing: 0 [copy,164,flip.1] {-} A=A.
% 0.19/0.37 164 back subsumes 74.
% 0.19/0.37
% 0.19/0.37 ======= end of input processing =======
% 0.89/1.08
% 0.89/1.08 Model 1 (0.00 seconds, 0 Inserts)
% 0.89/1.08
% 0.89/1.08 Stopped by limit on number of solutions
% 0.89/1.08
% 0.89/1.08
% 0.89/1.08 -------------- Softie stats --------------
% 0.89/1.08
% 0.89/1.08 UPDATE_STOP: 300
% 0.89/1.08 SFINDER_TIME_LIMIT: 2
% 0.89/1.08 SHORT_CLAUSE_CUTOFF: 4
% 0.89/1.08 number of clauses in intial UL: 60
% 0.89/1.08 number of clauses initially in problem: 145
% 0.89/1.08 percentage of clauses intially in UL: 41
% 0.89/1.08 percentage of distinct symbols occuring in initial UL: 65
% 0.89/1.08 percent of all initial clauses that are short: 100
% 0.89/1.08 absolute distinct symbol count: 61
% 0.89/1.08 distinct predicate count: 11
% 0.89/1.08 distinct function count: 34
% 0.89/1.08 distinct constant count: 16
% 0.89/1.08
% 0.89/1.08 ---------- no more Softie stats ----------
% 0.89/1.08
% 0.89/1.08
% 0.89/1.08
% 0.89/1.08 Stopped by limit on insertions
% 0.89/1.08
% 0.89/1.08 =========== start of search ===========
% 8.72/8.99
% 8.72/8.99 -------- PROOF --------
% 8.72/8.99 % SZS status Unsatisfiable
% 8.72/8.99 % SZS output start Refutation
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Model 2 [ 4 1 1986 ] (0.00 seconds, 250000 Inserts)
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Model 3 [ 13 1 4460 ] (0.00 seconds, 250000 Inserts)
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Model 4 [ 16 3 35574 ] (0.00 seconds, 250000 Inserts)
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Model 5 [ 39 3 18775 ] (0.00 seconds, 250000 Inserts)
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Model 6 [ 41 1 6142 ] (0.00 seconds, 250000 Inserts)
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 Stopped by limit on insertions
% 8.72/8.99
% 8.72/8.99 ----> UNIT CONFLICT at 8.59 sec ----> 1882 [binary,1881.1,73.1] {-} $F.
% 8.72/8.99
% 8.72/8.99 Length of proof is 3. Level of proof is 2.
% 8.72/8.99
% 8.72/8.99 ---------------- PROOF ----------------
% 8.72/8.99 % SZS status Unsatisfiable
% 8.72/8.99 % SZS output start Refutation
% 8.72/8.99
% 8.72/8.99 9 [] {+} -member(ordered_pair(A,B),cross_product(C,D))|member(A,C).
% 8.72/8.99 10 [] {+} -member(ordered_pair(A,B),cross_product(C,D))|member(B,D).
% 8.72/8.99 11 [] {+} -member(A,B)| -member(C,D)|member(ordered_pair(A,C),cross_product(B,D)).
% 8.72/8.99 73 [] {+} -member(ordered_pair(v,u),cross_product(y,x)).
% 8.72/8.99 163 [] {-} member(ordered_pair(u,v),cross_product(x,y)).
% 8.72/8.99 1784 [hyper,163,10] {-} member(v,y).
% 8.72/8.99 1785 [hyper,163,9] {-} member(u,x).
% 8.72/8.99 1881 [hyper,1785,11,1784] {-} member(ordered_pair(v,u),cross_product(y,x)).
% 8.72/8.99 1882 [binary,1881.1,73.1] {-} $F.
% 8.72/8.99
% 8.72/8.99 % SZS output end Refutation
% 8.72/8.99 ------------ end of proof -------------
% 8.72/8.99
% 8.72/8.99
% 8.72/8.99 Search stopped by max_proofs option.
% 8.72/8.99
% 8.72/8.99
% 8.72/8.99 Search stopped by max_proofs option.
% 8.72/8.99
% 8.72/8.99 ============ end of search ============
% 8.72/8.99
% 8.72/8.99 ----------- soft-scott stats ----------
% 8.72/8.99
% 8.72/8.99 true clauses given 8 (16.0%)
% 8.72/8.99 false clauses given 42
% 8.72/8.99
% 8.72/8.99 FALSE TRUE
% 8.72/8.99 3 1 0
% 8.72/8.99 5 1 0
% 8.72/8.99 6 0 3
% 8.72/8.99 7 60 13
% 8.72/8.99 8 36 23
% 8.72/8.99 9 187 40
% 8.72/8.99 10 33 93
% 8.72/8.99 11 232 88
% 8.72/8.99 12 78 31
% 8.72/8.99 13 139 96
% 8.72/8.99 14 57 43
% 8.72/8.99 15 46 48
% 8.72/8.99 16 11 28
% 8.72/8.99 17 12 41
% 8.72/8.99 18 7 17
% 8.72/8.99 19 8 15
% 8.72/8.99 20 9 16
% 8.72/8.99 21 6 8
% 8.72/8.99 22 10 8
% 8.72/8.99 23 7 7
% 8.72/8.99 24 0 10
% 8.72/8.99 25 2 0
% 8.72/8.99 26 0 7
% 8.72/8.99 27 1 23
% 8.72/8.99 28 0 6
% 8.72/8.99 29 0 12
% 8.72/8.99 30 0 9
% 8.72/8.99 31 0 12
% 8.72/8.99 32 0 14
% 8.72/8.99 33 0 3
% 8.72/8.99 34 0 10
% 8.72/8.99 36 0 1
% 8.72/8.99 37 0 1
% 8.72/8.99 39 0 1
% 8.72/8.99 42 1 0
% 8.72/8.99 46 0 2
% 8.72/8.99 48 0 4
% 8.72/8.99 50 0 2
% 8.72/8.99 55 0 1
% 8.72/8.99 57 0 2
% 8.72/8.99 59 0 1
% 8.72/8.99 tot: 944 739 (43.9% true)
% 8.72/8.99
% 8.72/8.99
% 8.72/8.99 Model 6 [ 41 -101 6142 ] (0.00 seconds, 250000 Inserts)
% 8.72/8.99
% 8.72/8.99 That finishes the proof of the theorem.
% 8.72/8.99
% 8.72/8.99 Process 15035 finished Mon Jul 11 03:35:05 2022
%------------------------------------------------------------------------------