TSTP Solution File: GEO025-2 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO025-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n025.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 06:17:29 EDT 2022
% Result : Unsatisfiable 68.10s 68.35s
% Output : Refutation 68.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO025-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n025.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 14:14:13 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 sandbox on n025.cluster.edu,
% 0.12/0.35 Sat Jun 18 14:14:13 2022
% 0.12/0.35 The command was "./sos". The process ID is 416.
% 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 list(usable).
% 0.12/0.35
% 0.12/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 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 35 back subsumes 32.
% 0.12/0.35 Following clause subsumed by 42 during input processing: 0 [copy,42,flip.1] {-} A=A.
% 0.12/0.35
% 0.12/0.35 ======= end of input processing =======
% 0.68/0.88
% 0.68/0.88 Model 1 (0.00 seconds, 0 Inserts)
% 0.68/0.88
% 0.68/0.88 Stopped by limit on number of solutions
% 0.68/0.88
% 0.68/0.88
% 0.68/0.88 -------------- Softie stats --------------
% 0.68/0.88
% 0.68/0.88 UPDATE_STOP: 300
% 0.68/0.88 SFINDER_TIME_LIMIT: 2
% 0.68/0.88 SHORT_CLAUSE_CUTOFF: 4
% 0.68/0.88 number of clauses in intial UL: 33
% 0.68/0.88 number of clauses initially in problem: 41
% 0.68/0.88 percentage of clauses intially in UL: 80
% 0.68/0.88 percentage of distinct symbols occuring in initial UL: 82
% 0.68/0.88 percent of all initial clauses that are short: 100
% 0.68/0.88 absolute distinct symbol count: 17
% 0.68/0.88 distinct predicate count: 3
% 0.68/0.88 distinct function count: 5
% 0.68/0.88 distinct constant count: 9
% 0.68/0.88
% 0.68/0.88 ---------- no more Softie stats ----------
% 0.68/0.88
% 0.68/0.88
% 0.68/0.88
% 0.68/0.88 Model 2 (0.00 seconds, 0 Inserts)
% 0.68/0.88
% 0.68/0.88 Stopped by limit on number of solutions
% 0.68/0.88
% 0.68/0.88 =========== start of search ===========
% 8.21/8.45
% 8.21/8.45
% 8.21/8.45 Changing weight limit from 60 to 59.
% 8.21/8.45
% 8.21/8.45 Model 3 (0.00 seconds, 0 Inserts)
% 8.21/8.45
% 8.21/8.45 Stopped by limit on number of solutions
% 8.21/8.45
% 8.21/8.45 Stopped by limit on insertions
% 8.21/8.45
% 8.21/8.45 Model 4 [ 1 60 226755 ] (0.00 seconds, 250000 Inserts)
% 8.21/8.45
% 8.21/8.45 Stopped by limit on insertions
% 8.21/8.45
% 8.21/8.45 Model 5 [ 1 56 211956 ] (0.00 seconds, 250000 Inserts)
% 8.21/8.45
% 8.21/8.45 Stopped by limit on insertions
% 8.21/8.45
% 8.21/8.45 Model 6 [ 85 3 8066 ] (0.00 seconds, 250000 Inserts)
% 8.21/8.45
% 8.21/8.45 Stopped by limit on insertions
% 8.21/8.45
% 8.21/8.45 Model 7 [ 36 48 172152 ] (0.00 seconds, 250000 Inserts)
% 8.21/8.45
% 8.21/8.45 Resetting weight limit to 59 after 40 givens.
% 8.21/8.45
% 37.55/37.74
% 37.55/37.74
% 37.55/37.74 Changing weight limit from 59 to 42.
% 37.55/37.74
% 37.55/37.74 Resetting weight limit to 42 after 100 givens.
% 37.55/37.74
% 41.72/41.95
% 41.72/41.95
% 41.72/41.95 Changing weight limit from 42 to 32.
% 41.72/41.95
% 41.72/41.95 Resetting weight limit to 32 after 110 givens.
% 41.72/41.95
% 42.46/42.66
% 42.46/42.66
% 42.46/42.66 Changing weight limit from 32 to 31.
% 42.46/42.66
% 42.46/42.66 Resetting weight limit to 31 after 115 givens.
% 42.46/42.66
% 43.35/43.54
% 43.35/43.54
% 43.35/43.54 Changing weight limit from 31 to 28.
% 43.35/43.54
% 43.35/43.54 Resetting weight limit to 28 after 125 givens.
% 43.35/43.54
% 45.02/45.25
% 45.02/45.25
% 45.02/45.25 Changing weight limit from 28 to 27.
% 45.02/45.25
% 45.02/45.25 Resetting weight limit to 27 after 140 givens.
% 45.02/45.25
% 45.60/45.82
% 45.60/45.82
% 45.60/45.82 Changing weight limit from 27 to 26.
% 45.60/45.82
% 45.60/45.82 Resetting weight limit to 26 after 145 givens.
% 45.60/45.82
% 48.60/48.79
% 48.60/48.79
% 48.60/48.79 Changing weight limit from 26 to 24.
% 48.60/48.79
% 48.60/48.79 Resetting weight limit to 24 after 195 givens.
% 48.60/48.79
% 48.76/48.99
% 48.76/48.99
% 48.76/48.99 Changing weight limit from 24 to 23.
% 48.76/48.99
% 48.76/48.99 Resetting weight limit to 23 after 200 givens.
% 48.76/48.99
% 48.90/49.08
% 48.90/49.08
% 48.90/49.08 Changing weight limit from 23 to 22.
% 48.90/49.08
% 48.90/49.08 Resetting weight limit to 22 after 205 givens.
% 48.90/49.08
% 50.23/50.45
% 50.23/50.45
% 50.23/50.45 Changing weight limit from 22 to 21.
% 50.23/50.45
% 50.23/50.45 Resetting weight limit to 21 after 240 givens.
% 50.23/50.45
% 66.26/66.49
% 66.26/66.49
% 66.26/66.49 Changing weight limit from 21 to 19.
% 66.26/66.49
% 66.26/66.49 Stopped by limit on insertions
% 66.26/66.49
% 66.26/66.49 Model 8 [ 46 69 238621 ] (0.00 seconds, 250000 Inserts)
% 66.26/66.49
% 66.26/66.49 Stopped by limit on insertions
% 66.26/66.49
% 66.26/66.49 Model 9 [ 127 50 129279 ] (0.00 seconds, 250000 Inserts)
% 66.26/66.49
% 66.26/66.49 Stopped by limit on insertions
% 66.26/66.49
% 66.26/66.49 Model 10 [ 192 11 46457 ] (0.00 seconds, 250000 Inserts)
% 66.26/66.49
% 66.26/66.49 Stopped by limit on insertions
% 66.26/66.49
% 66.26/66.49 Model 11 [ 168 21 47634 ] (0.00 seconds, 250000 Inserts)
% 66.26/66.49
% 66.26/66.49 Stopped by limit on insertions
% 66.26/66.49
% 66.26/66.49 Model 12 [ 145 36 146588 ] (0.00 seconds, 250000 Inserts)
% 66.26/66.49
% 66.26/66.49 Stopped by limit on insertions
% 66.26/66.49
% 66.26/66.49 Model 13 [ 363 34 81494 ] (0.00 seconds, 250000 Inserts)
% 66.26/66.49
% 66.26/66.49 Stopped by limit on insertions
% 66.26/66.49
% 66.26/66.49 Stopped by limit on insertions
% 66.26/66.49
% 66.26/66.49 Model 14 [ 207 45 129824 ] (0.00 seconds, 250000 Inserts)
% 66.26/66.49
% 66.26/66.49 Stopped by limit on insertions
% 66.26/66.49
% 66.26/66.49 Model 15 [ 164 38 176586 ] (0.00 seconds, 250000 Inserts)
% 66.26/66.49
% 66.26/66.49 Stopped by limit on insertions
% 66.26/66.49
% 66.26/66.49 Model 16 [ 396 30 72973 ] (0.00 seconds, 250000 Inserts)
% 66.26/66.49
% 66.26/66.49 Stopped by limit on insertions
% 66.26/66.49
% 66.26/66.49 Model 17 [ 222 52 208886 ] (0.00 seconds, 250000 Inserts)
% 66.26/66.49
% 66.26/66.49 Modelling stopped after 300 given clauses and 0.00 seconds
% 66.26/66.49
% 66.26/66.49
% 66.26/66.49 Resetting weight limit to 19 after 455 givens.
% 66.26/66.49
% 66.39/66.58
% 66.39/66.58
% 66.39/66.58 Changing weight limit from 19 to 18.
% 66.39/66.58
% 66.39/66.58 Resetting weight limit to 18 after 460 givens.
% 66.39/66.58
% 66.94/67.15
% 66.94/67.15
% 66.94/67.15 Changing weight limit from 18 to 17.
% 66.94/67.15
% 66.94/67.15 Resetting weight limit to 17 after 485 givens.
% 66.94/67.15
% 67.02/67.23
% 67.02/67.23
% 67.02/67.23 Changing weight limit from 17 to 16.
% 67.02/67.23
% 67.02/67.23 Resetting weight limit to 16 after 490 givens.
% 67.02/67.23
% 67.14/67.32
% 67.14/67.32
% 67.14/67.32 Changing weight limit from 16 to 14.
% 67.14/67.32
% 67.14/67.32 Resetting weight limit to 14 after 495 givens.
% 67.14/67.32
% 68.10/68.35
% 68.10/68.35 -- HEY sandbox, WE HAVE A PROOF!! --
% 68.10/68.35
% 68.10/68.35 ----> UNIT CONFLICT at 67.93 sec ----> 26382 [binary,26381.1,16.1] {-} $F.
% 68.10/68.35
% 68.10/68.35 Length of proof is 24. Level of proof is 8.
% 68.10/68.35
% 68.10/68.35 ---------------- PROOF ----------------
% 68.10/68.35 % SZS status Unsatisfiable
% 68.10/68.35 % SZS output start Refutation
% 68.10/68.35
% 68.10/68.35 1 [] {+} -equidistant(A,B,C,D)| -equidistant(A,B,E,F)|equidistant(C,D,E,F).
% 68.10/68.35 2 [] {+} -equidistant(A,B,C,C)|A=B.
% 68.10/68.35 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).
% 68.10/68.35 4 [] {+} -between(A,B,A)|A=B.
% 68.10/68.35 5 [] {+} -between(A,B,C)| -between(D,E,C)|between(B,inner_pasch(A,B,C,E,D),D).
% 68.10/68.35 6 [] {+} -between(A,B,C)| -between(D,E,C)|between(E,inner_pasch(A,B,C,E,D),A).
% 68.10/68.35 16 [] {+} -equidistant(u,w,u1,w1).
% 68.10/68.35 17 [factor,1.1.2] {+} -equidistant(A,B,C,D)|equidistant(C,D,C,D).
% 68.10/68.35 35 [] {+} equidistant(A,B,B,A).
% 68.10/68.35 36 [] {+} between(A,B,extension(A,B,C,D)).
% 68.10/68.35 37 [] {+} equidistant(A,extension(B,A,C,D),C,D).
% 68.10/68.35 38 [] {-} equidistant(u,v,u1,v1).
% 68.10/68.35 39 [] {-} equidistant(v,w,v1,w1).
% 68.10/68.35 40 [] {+} between(u,v,w).
% 68.10/68.35 41 [] {+} between(u1,v1,w1).
% 68.10/68.35 43 [hyper,35,17] {+} equidistant(A,B,A,B).
% 68.10/68.35 103 [hyper,38,1,35] {-} equidistant(u1,v1,v,u).
% 68.10/68.35 173 [hyper,39,1,35] {+} equidistant(v1,w1,w,v).
% 68.10/68.35 342 [hyper,43,1,38] {-} equidistant(u1,v1,u,v).
% 68.10/68.35 411 [hyper,103,1,35] {-} equidistant(v,u,v1,u1).
% 68.10/68.35 490,489 [hyper,37,2,flip.1] {+} extension(A,B,C,C)=B.
% 68.10/68.35 2357 [hyper,173,1,35] {+} equidistant(w,v,w1,v1).
% 68.10/68.35 4297 [para_into,2357.1.4,4.2.1] {-} equidistant(w,v,w1,A)| -between(v1,A,v1).
% 68.10/68.35 5934 [para_into,489.1.1,4.2.1,demod,490,490] {+} A=B| -between(B,A,B).
% 68.10/68.35 5936 [para_into,489.1.1,2.2.1,demod,490] {+} A=B| -equidistant(B,A,C,C).
% 68.10/68.35 5937 [para_from,489.1.1,37.1.2] {+} equidistant(A,A,B,B).
% 68.10/68.35 5938 [para_from,489.1.1,36.1.3] {+} between(A,B,B).
% 68.10/68.35 6872 [hyper,5938,6,5938] {-} between(A,inner_pasch(B,A,A,A,C),B).
% 68.10/68.35 7343 [hyper,5937,3,38,39,411,40,41,flip.1] {+} v=u|equidistant(w,u,w1,u1).
% 68.10/68.35 12480 [para_from,7343.1.1,342.1.4] {-} equidistant(u1,v1,u,u)|equidistant(w,u,w1,u1).
% 68.10/68.35 19385 [hyper,12480,5936] {-} equidistant(w,u,w1,u1)|v1=u1.
% 68.10/68.35 20338 [hyper,6872,5934] {+} inner_pasch(A,A,A,A,B)=A.
% 68.10/68.35 20563 [para_from,20338.1.1,5.3.2,unit_del,5938,5938] {+} between(A,A,B).
% 68.10/68.35 22301 [para_into,4297.1.2,7343.1.1] {-} equidistant(w,u,w1,A)| -between(v1,A,v1)|equidistant(w,u,w1,u1).
% 68.10/68.35 22327 [factor,22301.1.3] {-} equidistant(w,u,w1,u1)| -between(v1,u1,v1).
% 68.10/68.35 26301 [para_into,22327.2.1,19385.2.1,unit_del,20563,factor_simp] {-} equidistant(w,u,w1,u1).
% 68.10/68.35 26313 [hyper,26301,1,35] {-} equidistant(w1,u1,u,w).
% 68.10/68.35 26381 [hyper,26313,1,35] {-} equidistant(u,w,u1,w1).
% 68.10/68.35 26382 [binary,26381.1,16.1] {-} $F.
% 68.10/68.35
% 68.10/68.35 % SZS output end Refutation
% 68.10/68.35 ------------ end of proof -------------
% 68.10/68.35
% 68.10/68.35
% 68.10/68.35 Search stopped by max_proofs option.
% 68.10/68.35
% 68.10/68.35
% 68.10/68.35 Search stopped by max_proofs option.
% 68.10/68.35
% 68.10/68.35 ============ end of search ============
% 68.10/68.35
% 68.10/68.35 ----------- soft-scott stats ----------
% 68.10/68.35
% 68.10/68.35 true clauses given 168 (29.6%)
% 68.10/68.35 false clauses given 400
% 68.10/68.35
% 68.10/68.35 FALSE TRUE
% 68.10/68.35 5 2 0
% 68.10/68.35 8 0 1
% 68.10/68.35 9 40 195
% 68.10/68.35 10 52 129
% 68.10/68.35 11 3 6
% 68.10/68.35 12 26 461
% 68.10/68.35 13 1559 1239
% 68.10/68.35 14 496 286
% 68.10/68.35 tot: 2178 2317 (51.5% true)
% 68.10/68.35
% 68.10/68.35
% 68.10/68.35 Model 17 [ 222 52 208886 ] (0.00 seconds, 250000 Inserts)
% 68.10/68.35
% 68.10/68.35 That finishes the proof of the theorem.
% 68.10/68.35
% 68.10/68.35 Process 416 finished Sat Jun 18 14:15:21 2022
%------------------------------------------------------------------------------