TSTP Solution File: GEO001-2 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO001-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n027.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 : Sat Jul 16 06:17:13 EDT 2022
% Result : Unsatisfiable 8.10s 8.28s
% Output : Refutation 8.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.06 % Problem : GEO001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.05/0.07 % Command : sos-script %s
% 0.07/0.25 % Computer : n027.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 600
% 0.07/0.25 % DateTime : Sat Jun 18 13:36:07 EDT 2022
% 0.07/0.25 % CPUTime :
% 0.07/0.26 ----- Otter 3.2, August 2001 -----
% 0.07/0.26 The process was started by sandbox on n027.cluster.edu,
% 0.07/0.26 Sat Jun 18 13:36:07 2022
% 0.07/0.26 The command was "./sos". The process ID is 29223.
% 0.07/0.26
% 0.07/0.26 set(prolog_style_variables).
% 0.07/0.26 set(auto).
% 0.07/0.26 dependent: set(auto1).
% 0.07/0.26 dependent: set(process_input).
% 0.07/0.26 dependent: clear(print_kept).
% 0.07/0.26 dependent: clear(print_new_demod).
% 0.07/0.26 dependent: clear(print_back_demod).
% 0.07/0.26 dependent: clear(print_back_sub).
% 0.07/0.26 dependent: set(control_memory).
% 0.07/0.26 dependent: assign(max_mem, 12000).
% 0.07/0.26 dependent: assign(pick_given_ratio, 4).
% 0.07/0.26 dependent: assign(stats_level, 1).
% 0.07/0.26 dependent: assign(pick_semantic_ratio, 3).
% 0.07/0.26 dependent: assign(sos_limit, 5000).
% 0.07/0.26 dependent: assign(max_weight, 60).
% 0.07/0.26 clear(print_given).
% 0.07/0.26
% 0.07/0.26 list(usable).
% 0.07/0.26
% 0.07/0.26 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.07/0.26
% 0.07/0.26 This ia a non-Horn set with equality. The strategy will be
% 0.07/0.26 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.07/0.26 unit deletion, with positive clauses in sos and nonpositive
% 0.07/0.26 clauses in usable.
% 0.07/0.26
% 0.07/0.26 dependent: set(knuth_bendix).
% 0.07/0.26 dependent: set(para_from).
% 0.07/0.26 dependent: set(para_into).
% 0.07/0.26 dependent: clear(para_from_right).
% 0.07/0.26 dependent: clear(para_into_right).
% 0.07/0.26 dependent: set(para_from_vars).
% 0.07/0.26 dependent: set(eq_units_both_ways).
% 0.07/0.26 dependent: set(dynamic_demod_all).
% 0.07/0.26 dependent: set(dynamic_demod).
% 0.07/0.26 dependent: set(order_eq).
% 0.07/0.26 dependent: set(back_demod).
% 0.07/0.26 dependent: set(lrpo).
% 0.07/0.26 dependent: set(hyper_res).
% 0.07/0.26 dependent: set(unit_deletion).
% 0.07/0.26 dependent: set(factor).
% 0.07/0.26
% 0.07/0.26 ------------> process usable:
% 0.07/0.26
% 0.07/0.26 ------------> process sos:
% 0.07/0.26 35 back subsumes 32.
% 0.07/0.26 Following clause subsumed by 39 during input processing: 0 [copy,39,flip.1] {-} A=A.
% 0.07/0.26
% 0.07/0.26 ======= end of input processing =======
% 0.10/0.33
% 0.10/0.33 Model 1 (0.00 seconds, 0 Inserts)
% 0.10/0.33
% 0.10/0.33 Stopped by limit on number of solutions
% 0.10/0.33
% 0.10/0.33
% 0.10/0.33 -------------- Softie stats --------------
% 0.10/0.33
% 0.10/0.33 UPDATE_STOP: 300
% 0.10/0.33 SFINDER_TIME_LIMIT: 2
% 0.10/0.33 SHORT_CLAUSE_CUTOFF: 4
% 0.10/0.33 number of clauses in intial UL: 33
% 0.10/0.33 number of clauses initially in problem: 38
% 0.10/0.33 percentage of clauses intially in UL: 86
% 0.10/0.33 percentage of distinct symbols occuring in initial UL: 92
% 0.10/0.33 percent of all initial clauses that are short: 100
% 0.10/0.33 absolute distinct symbol count: 14
% 0.10/0.33 distinct predicate count: 3
% 0.10/0.33 distinct function count: 5
% 0.10/0.33 distinct constant count: 6
% 0.10/0.33
% 0.10/0.33 ---------- no more Softie stats ----------
% 0.10/0.33
% 0.10/0.33
% 0.10/0.33
% 0.10/0.33 Model 2 (0.00 seconds, 0 Inserts)
% 0.10/0.33
% 0.10/0.33 Stopped by limit on number of solutions
% 0.10/0.33
% 0.10/0.33 =========== start of search ===========
% 8.10/8.28
% 8.10/8.28 -------- PROOF --------
% 8.10/8.28 % SZS status Unsatisfiable
% 8.10/8.28 % SZS output start Refutation
% 8.10/8.28
% 8.10/8.28 Model 3 (0.00 seconds, 0 Inserts)
% 8.10/8.28
% 8.10/8.28 Stopped by limit on number of solutions
% 8.10/8.28
% 8.10/8.28 Stopped by limit on insertions
% 8.10/8.28
% 8.10/8.28 Model 4 [ 5 25 79629 ] (0.00 seconds, 250000 Inserts)
% 8.10/8.28
% 8.10/8.28 Stopped by limit on insertions
% 8.10/8.28
% 8.10/8.28 Model 5 [ 64 13 43449 ] (0.00 seconds, 250000 Inserts)
% 8.10/8.28
% 8.10/8.28 Stopped by limit on insertions
% 8.10/8.28
% 8.10/8.28 Model 6 [ 45 40 127761 ] (0.00 seconds, 250000 Inserts)
% 8.10/8.28
% 8.10/8.28 Stopped by limit on insertions
% 8.10/8.28
% 8.10/8.28 Model 7 [ 65 25 99712 ] (0.00 seconds, 250000 Inserts)
% 8.10/8.28
% 8.10/8.28 Stopped by limit on insertions
% 8.10/8.28
% 8.10/8.28 Model 8 [ 42 36 136229 ] (0.00 seconds, 250000 Inserts)
% 8.10/8.28
% 8.10/8.28 Stopped by limit on insertions
% 8.10/8.28
% 8.10/8.28 Model 9 [ 57 60 205824 ] (0.00 seconds, 250000 Inserts)
% 8.10/8.28
% 8.10/8.28 Stopped by limit on insertions
% 8.10/8.28
% 8.10/8.28 Model 10 [ 51 42 169270 ] (0.00 seconds, 250000 Inserts)
% 8.10/8.28
% 8.10/8.28 Stopped by limit on insertions
% 8.10/8.28
% 8.10/8.28 Model 11 [ 80 44 162963 ] (0.00 seconds, 250000 Inserts)
% 8.10/8.28
% 8.10/8.28 Stopped by limit on insertions
% 8.10/8.28
% 8.10/8.28 Model 12 [ 75 50 167072 ] (0.00 seconds, 250000 Inserts)
% 8.10/8.28
% 8.10/8.28 -----> EMPTY CLAUSE at 7.98 sec ----> 2750 [para_from,2345.1.1,5.3.2,unit_del,369,38,16] {-} $F.
% 8.10/8.28
% 8.10/8.28 Length of proof is 5. Level of proof is 4.
% 8.10/8.28
% 8.10/8.28 ---------------- PROOF ----------------
% 8.10/8.28 % SZS status Unsatisfiable
% 8.10/8.28 % SZS output start Refutation
% 8.10/8.28
% 8.10/8.28 2 [] {+} -equidistant(A,B,C,C)|A=B.
% 8.10/8.28 4 [] {+} -between(A,B,A)|A=B.
% 8.10/8.28 5 [] {+} -between(A,B,C)| -between(D,E,C)|between(B,inner_pasch(A,B,C,E,D),D).
% 8.10/8.28 6 [] {+} -between(A,B,C)| -between(D,E,C)|between(E,inner_pasch(A,B,C,E,D),A).
% 8.10/8.28 16 [] {+} -between(c,b,a).
% 8.10/8.28 36 [] {+} between(A,B,extension(A,B,C,D)).
% 8.10/8.28 37 [] {+} equidistant(A,extension(B,A,C,D),C,D).
% 8.10/8.28 38 [] {+} between(a,b,c).
% 8.10/8.28 142,141 [hyper,37,2,flip.1] {+} extension(A,B,C,C)=B.
% 8.10/8.28 365 [para_into,141.1.1,4.2.1,demod,142,142] {+} A=B| -between(B,A,B).
% 8.10/8.28 369 [para_from,141.1.1,36.1.3] {+} between(A,B,B).
% 8.10/8.28 410 [hyper,369,6,38] {-} between(b,inner_pasch(A,c,c,b,a),A).
% 8.10/8.28 2345 [hyper,410,365] {-} inner_pasch(b,c,c,b,a)=b.
% 8.10/8.28 2750 [para_from,2345.1.1,5.3.2,unit_del,369,38,16] {-} $F.
% 8.10/8.28
% 8.10/8.28 % SZS output end Refutation
% 8.10/8.28 ------------ end of proof -------------
% 8.10/8.28
% 8.10/8.28
% 8.10/8.28 Search stopped by max_proofs option.
% 8.10/8.28
% 8.10/8.28
% 8.10/8.28 Search stopped by max_proofs option.
% 8.10/8.28
% 8.10/8.28 ============ end of search ============
% 8.10/8.28
% 8.10/8.28 ----------- soft-scott stats ----------
% 8.10/8.28
% 8.10/8.28 true clauses given 12 (31.6%)
% 8.10/8.28 false clauses given 26
% 8.10/8.28
% 8.10/8.28 FALSE TRUE
% 8.10/8.28 8 0 27
% 8.10/8.28 9 8 41
% 8.10/8.28 10 0 6
% 8.10/8.28 11 0 2
% 8.10/8.28 12 38 9
% 8.10/8.28 13 86 42
% 8.10/8.28 14 49 28
% 8.10/8.28 15 0 6
% 8.10/8.28 16 7 33
% 8.10/8.28 17 9 47
% 8.10/8.28 18 2 23
% 8.10/8.28 19 3 16
% 8.10/8.28 20 8 6
% 8.10/8.28 21 33 105
% 8.10/8.28 22 32 97
% 8.10/8.28 23 3 43
% 8.10/8.28 24 9 17
% 8.10/8.28 25 49 47
% 8.10/8.28 26 74 47
% 8.10/8.28 27 53 64
% 8.10/8.28 28 15 18
% 8.10/8.28 29 3 39
% 8.10/8.28 30 26 75
% 8.10/8.28 31 61 38
% 8.10/8.28 32 31 25
% 8.10/8.28 33 4 27
% 8.10/8.28 34 20 57
% 8.10/8.28 35 34 54
% 8.10/8.28 36 40 50
% 8.10/8.28 37 11 43
% 8.10/8.28 38 3 12
% 8.10/8.28 39 24 38
% 8.10/8.28 40 22 35
% 8.10/8.28 41 30 22
% 8.10/8.28 42 24 11
% 8.10/8.28 43 3 2
% 8.10/8.28 44 17 28
% 8.10/8.28 45 21 31
% 8.10/8.28 46 4 19
% 8.10/8.28 47 5 3
% 8.10/8.28 49 13 8
% 8.10/8.28 50 18 27
% 8.10/8.28 51 2 8
% 8.10/8.28 52 6 10
% 8.10/8.28 53 0 1
% 8.10/8.28 54 4 3
% 8.10/8.28 55 10 16
% 8.10/8.28 56 0 2
% 8.10/8.28 59 5 0
% 8.10/8.28 60 3 8
% 8.10/8.28 tot: 922 1416 (60.6% true)
% 8.10/8.28
% 8.10/8.28
% 8.10/8.28 Model 12 [ 75 50 167072 ] (0.00 seconds, 250000 Inserts)
% 8.10/8.28
% 8.10/8.28 That finishes the proof of the theorem.
% 8.10/8.28
% 8.10/8.28 Process 29223 finished Sat Jun 18 13:36:15 2022
%------------------------------------------------------------------------------