TSTP Solution File: GEO049-2 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO049-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n007.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 06:17:42 EDT 2022
% Result : Unsatisfiable 64.50s 64.70s
% Output : Refutation 64.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO049-2 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n007.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 Jun 18 10:09:58 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 n007.cluster.edu,
% 0.12/0.36 Sat Jun 18 10:09:58 2022
% 0.12/0.36 The command was "./sos". The process ID is 4369.
% 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=8.
% 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 35 back subsumes 32.
% 0.12/0.36 Following clause subsumed by 42 during input processing: 0 [copy,42,flip.1] {-} A=A.
% 0.12/0.36
% 0.12/0.36 ======= end of input processing =======
% 1.05/1.25
% 1.05/1.25 Model 1 (0.00 seconds, 0 Inserts)
% 1.05/1.25
% 1.05/1.25 Stopped by limit on number of solutions
% 1.05/1.25
% 1.05/1.25
% 1.05/1.25 -------------- Softie stats --------------
% 1.05/1.25
% 1.05/1.25 UPDATE_STOP: 300
% 1.05/1.25 SFINDER_TIME_LIMIT: 2
% 1.05/1.25 SHORT_CLAUSE_CUTOFF: 4
% 1.05/1.25 number of clauses in intial UL: 33
% 1.05/1.25 number of clauses initially in problem: 41
% 1.05/1.25 percentage of clauses intially in UL: 80
% 1.05/1.25 percentage of distinct symbols occuring in initial UL: 76
% 1.05/1.25 percent of all initial clauses that are short: 100
% 1.05/1.25 absolute distinct symbol count: 17
% 1.05/1.25 distinct predicate count: 3
% 1.05/1.25 distinct function count: 5
% 1.05/1.25 distinct constant count: 9
% 1.05/1.25
% 1.05/1.25 ---------- no more Softie stats ----------
% 1.05/1.25
% 1.05/1.25
% 1.05/1.25
% 1.05/1.25 Stopped by limit on insertions
% 1.05/1.25
% 1.05/1.25 =========== start of search ===========
% 10.03/10.25
% 10.03/10.25
% 10.03/10.25 Changing weight limit from 60 to 59.
% 10.03/10.25
% 10.03/10.25 Stopped by limit on insertions
% 10.03/10.25
% 10.03/10.25 Model 2 [ 1 68 244682 ] (0.00 seconds, 250000 Inserts)
% 10.03/10.25
% 10.03/10.25 Stopped by limit on insertions
% 10.03/10.25
% 10.03/10.25 Model 3 [ 3 53 192595 ] (0.00 seconds, 250000 Inserts)
% 10.03/10.25
% 10.03/10.25 Model 4 (0.00 seconds, 250000 Inserts)
% 10.03/10.25
% 10.03/10.25 Stopped by limit on number of solutions
% 10.03/10.25
% 10.03/10.25 Stopped by limit on insertions
% 10.03/10.25
% 10.03/10.25 Model 5 [ 36 42 153687 ] (0.00 seconds, 250000 Inserts)
% 10.03/10.25
% 10.03/10.25 Resetting weight limit to 59 after 45 givens.
% 10.03/10.25
% 33.02/33.23
% 33.02/33.23
% 33.02/33.23 Changing weight limit from 59 to 38.
% 33.02/33.23
% 33.02/33.23 Resetting weight limit to 38 after 85 givens.
% 33.02/33.23
% 35.28/35.50
% 35.28/35.50
% 35.28/35.50 Changing weight limit from 38 to 31.
% 35.28/35.50
% 35.28/35.50 Resetting weight limit to 31 after 90 givens.
% 35.28/35.50
% 35.97/36.16
% 35.97/36.16
% 35.97/36.16 Changing weight limit from 31 to 28.
% 35.97/36.16
% 35.97/36.16 Resetting weight limit to 28 after 95 givens.
% 35.97/36.16
% 37.02/37.21
% 37.02/37.21
% 37.02/37.21 Changing weight limit from 28 to 27.
% 37.02/37.21
% 37.02/37.21 Resetting weight limit to 27 after 105 givens.
% 37.02/37.21
% 38.30/38.53
% 38.30/38.53
% 38.30/38.53 Changing weight limit from 27 to 26.
% 38.30/38.53
% 38.30/38.53 Resetting weight limit to 26 after 120 givens.
% 38.30/38.53
% 40.45/40.74
% 40.45/40.74
% 40.45/40.74 Changing weight limit from 26 to 24.
% 40.45/40.74
% 40.45/40.74 Resetting weight limit to 24 after 160 givens.
% 40.45/40.74
% 40.69/40.95
% 40.69/40.95
% 40.69/40.95 Changing weight limit from 24 to 23.
% 40.69/40.95
% 40.69/40.95 Resetting weight limit to 23 after 165 givens.
% 40.69/40.95
% 41.10/41.32
% 41.10/41.32
% 41.10/41.32 Changing weight limit from 23 to 22.
% 41.10/41.32
% 41.10/41.32 Resetting weight limit to 22 after 180 givens.
% 41.10/41.32
% 43.78/43.96
% 43.78/43.96
% 43.78/43.96 Changing weight limit from 22 to 21.
% 43.78/43.96
% 43.78/43.96 Resetting weight limit to 21 after 270 givens.
% 43.78/43.96
% 46.12/46.35
% 46.12/46.35
% 46.12/46.35 Changing weight limit from 21 to 20.
% 46.12/46.35
% 46.12/46.35 Stopped by limit on insertions
% 46.12/46.35
% 46.12/46.35 Model 6 [ 47 69 248537 ] (0.00 seconds, 250000 Inserts)
% 46.12/46.35
% 46.12/46.35 Resetting weight limit to 20 after 325 givens.
% 46.12/46.35
% 60.17/60.36
% 60.17/60.36
% 60.17/60.36 Changing weight limit from 20 to 19.
% 60.17/60.36
% 60.17/60.36 Stopped by limit on insertions
% 60.17/60.36
% 60.17/60.36 Model 7 [ 58 50 181089 ] (0.00 seconds, 250000 Inserts)
% 60.17/60.36
% 60.17/60.36 Stopped by limit on insertions
% 60.17/60.36
% 60.17/60.36 Model 8 [ 164 99 231310 ] (0.00 seconds, 250000 Inserts)
% 60.17/60.36
% 60.17/60.36 Stopped by limit on insertions
% 60.17/60.36
% 60.17/60.36 Model 9 [ 184 48 173194 ] (0.00 seconds, 250000 Inserts)
% 60.17/60.36
% 60.17/60.36 Stopped by limit on insertions
% 60.17/60.36
% 60.17/60.36 Model 10 [ 202 74 184764 ] (0.00 seconds, 250000 Inserts)
% 60.17/60.36
% 60.17/60.36 Stopped by limit on insertions
% 60.17/60.36
% 60.17/60.36 Model 11 [ 332 9 39130 ] (0.00 seconds, 250000 Inserts)
% 60.17/60.36
% 60.17/60.36 Stopped by limit on insertions
% 60.17/60.36
% 60.17/60.36 Model 12 [ 175 24 110990 ] (0.00 seconds, 250000 Inserts)
% 60.17/60.36
% 60.17/60.36 Stopped by limit on insertions
% 60.17/60.36
% 60.17/60.36 Model 13 [ 359 6 11977 ] (0.00 seconds, 250000 Inserts)
% 60.17/60.36
% 60.17/60.36 Stopped by limit on insertions
% 60.17/60.36
% 60.17/60.36 Model 14 [ 184 37 148698 ] (0.00 seconds, 250000 Inserts)
% 60.17/60.36
% 60.17/60.36 Stopped by limit on insertions
% 60.17/60.36
% 60.17/60.36 Model 15 [ 393 9 20580 ] (0.00 seconds, 250000 Inserts)
% 60.17/60.36
% 60.17/60.36 Modelling stopped after 300 given clauses and 0.00 seconds
% 60.17/60.36
% 60.17/60.36
% 60.17/60.36 Resetting weight limit to 19 after 540 givens.
% 60.17/60.36
% 60.22/60.42
% 60.22/60.42
% 60.22/60.42 Changing weight limit from 19 to 18.
% 60.22/60.42
% 60.22/60.42 Resetting weight limit to 18 after 545 givens.
% 60.22/60.42
% 60.27/60.48
% 60.27/60.48
% 60.27/60.48 Changing weight limit from 18 to 17.
% 60.27/60.48
% 60.27/60.48 Resetting weight limit to 17 after 550 givens.
% 60.27/60.48
% 60.36/60.54
% 60.36/60.54
% 60.36/60.54 Changing weight limit from 17 to 15.
% 60.36/60.54
% 60.36/60.54 Resetting weight limit to 15 after 555 givens.
% 60.36/60.54
% 60.56/60.74
% 60.56/60.74
% 60.56/60.74 Changing weight limit from 15 to 14.
% 60.56/60.74
% 60.56/60.74 Resetting weight limit to 14 after 570 givens.
% 60.56/60.74
% 64.50/64.70
% 64.50/64.70 -- HEY sandbox, WE HAVE A PROOF!! --
% 64.50/64.70
% 64.50/64.70 ----> UNIT CONFLICT at 64.23 sec ----> 27568 [binary,27567.1,16.1] {+} $F.
% 64.50/64.70
% 64.50/64.70 Length of proof is 20. Level of proof is 9.
% 64.50/64.70
% 64.50/64.70 ---------------- PROOF ----------------
% 64.50/64.70 % SZS status Unsatisfiable
% 64.50/64.70 % SZS output start Refutation
% 64.50/64.70
% 64.50/64.70 1 [] {+} -equidistant(A,B,C,D)| -equidistant(A,B,E,F)|equidistant(C,D,E,F).
% 64.50/64.70 2 [] {+} -equidistant(A,B,C,C)|A=B.
% 64.50/64.70 3 [] {+} -equidistant(A,B,C,D)| -equidistant(B,E,D,F)| -equidistant(A,G,C,H)| -equidistant(B,G,D,H)| -between(A,B,E)| -between(C,D,F)|A=B|equidistant(E,G,F,H).
% 64.50/64.70 4 [] {+} -between(A,B,A)|A=B.
% 64.50/64.70 5 [] {+} -between(A,B,C)| -between(D,E,C)|between(B,inner_pasch(A,B,C,E,D),D).
% 64.50/64.70 6 [] {+} -between(A,B,C)| -between(D,E,C)|between(E,inner_pasch(A,B,C,E,D),A).
% 64.50/64.70 16 [] {+} -between(u1,v1,w1).
% 64.50/64.70 17 [factor,1.1.2] {+} -equidistant(A,B,C,D)|equidistant(C,D,C,D).
% 64.50/64.70 35 [] {-} equidistant(A,B,B,A).
% 64.50/64.70 36 [] {+} between(A,B,extension(A,B,C,D)).
% 64.50/64.70 37 [] {+} equidistant(A,extension(B,A,C,D),C,D).
% 64.50/64.70 38 [] {-} equidistant(u,v,u1,v1).
% 64.50/64.70 39 [] {-} equidistant(v,w,v1,w1).
% 64.50/64.70 40 [] {-} equidistant(u,w,u1,w1).
% 64.50/64.70 41 [] {+} between(u,v,w).
% 64.50/64.70 43 [hyper,35,17] {+} equidistant(A,B,A,B).
% 64.50/64.70 269 [para_into,36.1.3,2.2.1] {+} between(A,B,C)| -equidistant(extension(A,B,D,E),C,F,F).
% 64.50/64.70 347 [hyper,43,1,40] {-} equidistant(u1,w1,u,w).
% 64.50/64.70 348 [hyper,43,1,39] {-} equidistant(v1,w1,v,w).
% 64.50/64.70 349 [hyper,43,1,38] {+} equidistant(u1,v1,u,v).
% 64.50/64.70 496,495 [hyper,37,2,flip.1] {+} extension(A,B,C,C)=B.
% 64.50/64.70 2015 [hyper,349,3,37,347,348,36,41,flip.1] {-} v1=u1|equidistant(extension(u1,v1,v,w),w1,w,w).
% 64.50/64.70 4854 [para_into,495.1.1,4.2.1,demod,496,496] {+} A=B| -between(B,A,B).
% 64.50/64.70 4858 [para_from,495.1.1,36.1.3] {+} between(A,B,B).
% 64.50/64.70 5343 [hyper,4858,6,4858] {-} between(A,inner_pasch(B,A,A,A,C),B).
% 64.50/64.70 7033 [para_from,4854.1.1,16.1.1] {+} -between(A,v1,w1)| -between(A,u1,A).
% 64.50/64.70 11181 [para_into,7033.1.2,4.2.1] {+} -between(A,B,w1)| -between(A,u1,A)| -between(v1,B,v1).
% 64.50/64.70 11220 [factor,11181.2.3] {+} -between(v1,u1,w1)| -between(v1,u1,v1).
% 64.50/64.70 15244 [para_into,11220.1.1,4.2.1] {+} -between(A,u1,w1)| -between(v1,u1,v1)| -between(v1,A,v1).
% 64.50/64.70 15275 [factor,15244.2.3] {+} -between(u1,u1,w1)| -between(v1,u1,v1).
% 64.50/64.70 20708 [hyper,5343,4854] {-} inner_pasch(A,A,A,A,B)=A.
% 64.50/64.70 20743 [para_from,20708.1.1,5.3.2,unit_del,4858,4858] {-} between(A,A,B).
% 64.50/64.70 26799 [para_from,2015.1.1,15275.2.3,unit_del,20743,4858] {-} equidistant(extension(u1,v1,v,w),w1,w,w).
% 64.50/64.70 27567 [hyper,26799,269] {-} between(u1,v1,w1).
% 64.50/64.70 27568 [binary,27567.1,16.1] {+} $F.
% 64.50/64.70
% 64.50/64.70 % SZS output end Refutation
% 64.50/64.70 ------------ end of proof -------------
% 64.50/64.70
% 64.50/64.70
% 64.50/64.70 Search stopped by max_proofs option.
% 64.50/64.70
% 64.50/64.70
% 64.50/64.70 Search stopped by max_proofs option.
% 64.50/64.70
% 64.50/64.70 ============ end of search ============
% 64.50/64.70
% 64.50/64.70 ----------- soft-scott stats ----------
% 64.50/64.70
% 64.50/64.70 true clauses given 203 (25.4%)
% 64.50/64.70 false clauses given 597
% 64.50/64.70
% 64.50/64.70 FALSE TRUE
% 64.50/64.70 9 4 166
% 64.50/64.70 10 141 89
% 64.50/64.70 11 4 5
% 64.50/64.70 12 122 579
% 64.50/64.70 13 2135 1661
% 64.50/64.70 14 94 0
% 64.50/64.70 tot: 2500 2500 (50.0% true)
% 64.50/64.70
% 64.50/64.70
% 64.50/64.70 Model 15 [ 393 9 20580 ] (0.00 seconds, 250000 Inserts)
% 64.50/64.70
% 64.50/64.70 That finishes the proof of the theorem.
% 64.50/64.70
% 64.50/64.70 Process 4369 finished Sat Jun 18 10:11:02 2022
%------------------------------------------------------------------------------