TSTP Solution File: GEO067-2 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO067-2 : 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 : Sat Jul 16 06:17:51 EDT 2022
% Result : Unsatisfiable 7.81s 7.98s
% Output : Refutation 7.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO067-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : sos-script %s
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 15:57:38 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.36 ----- Otter 3.2, August 2001 -----
% 0.14/0.36 The process was started by sandbox2 on n005.cluster.edu,
% 0.14/0.36 Sat Jun 18 15:57:38 2022
% 0.14/0.36 The command was "./sos". The process ID is 32296.
% 0.14/0.36
% 0.14/0.36 set(prolog_style_variables).
% 0.14/0.36 set(auto).
% 0.14/0.36 dependent: set(auto1).
% 0.14/0.36 dependent: set(process_input).
% 0.14/0.36 dependent: clear(print_kept).
% 0.14/0.36 dependent: clear(print_new_demod).
% 0.14/0.36 dependent: clear(print_back_demod).
% 0.14/0.36 dependent: clear(print_back_sub).
% 0.14/0.36 dependent: set(control_memory).
% 0.14/0.36 dependent: assign(max_mem, 12000).
% 0.14/0.36 dependent: assign(pick_given_ratio, 4).
% 0.14/0.36 dependent: assign(stats_level, 1).
% 0.14/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.36 dependent: assign(sos_limit, 5000).
% 0.14/0.36 dependent: assign(max_weight, 60).
% 0.14/0.36 clear(print_given).
% 0.14/0.36
% 0.14/0.36 list(usable).
% 0.14/0.36
% 0.14/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.14/0.36
% 0.14/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.14/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.14/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.14/0.36 clauses in usable.
% 0.14/0.36
% 0.14/0.36 dependent: set(knuth_bendix).
% 0.14/0.36 dependent: set(para_from).
% 0.14/0.36 dependent: set(para_into).
% 0.14/0.36 dependent: clear(para_from_right).
% 0.14/0.36 dependent: clear(para_into_right).
% 0.14/0.36 dependent: set(para_from_vars).
% 0.14/0.36 dependent: set(eq_units_both_ways).
% 0.14/0.36 dependent: set(dynamic_demod_all).
% 0.14/0.36 dependent: set(dynamic_demod).
% 0.14/0.36 dependent: set(order_eq).
% 0.14/0.36 dependent: set(back_demod).
% 0.14/0.36 dependent: set(lrpo).
% 0.14/0.36 dependent: set(hyper_res).
% 0.14/0.36 dependent: set(unit_deletion).
% 0.14/0.36 dependent: set(factor).
% 0.14/0.36
% 0.14/0.36 ------------> process usable:
% 0.14/0.36
% 0.14/0.36 ------------> process sos:
% 0.14/0.36 42 back subsumes 39.
% 0.14/0.36 Following clause subsumed by 45 during input processing: 0 [copy,45,flip.1] {-} A=A.
% 0.14/0.36
% 0.14/0.36 ======= end of input processing =======
% 1.06/1.28
% 1.06/1.28 Model 1 (0.00 seconds, 0 Inserts)
% 1.06/1.28
% 1.06/1.28 Stopped by limit on number of solutions
% 1.06/1.28
% 1.06/1.28
% 1.06/1.28 -------------- Softie stats --------------
% 1.06/1.28
% 1.06/1.28 UPDATE_STOP: 300
% 1.06/1.28 SFINDER_TIME_LIMIT: 2
% 1.06/1.28 SHORT_CLAUSE_CUTOFF: 4
% 1.06/1.28 number of clauses in intial UL: 39
% 1.06/1.28 number of clauses initially in problem: 43
% 1.06/1.28 percentage of clauses intially in UL: 90
% 1.06/1.28 percentage of distinct symbols occuring in initial UL: 93
% 1.06/1.28 percent of all initial clauses that are short: 100
% 1.06/1.28 absolute distinct symbol count: 15
% 1.06/1.28 distinct predicate count: 4
% 1.06/1.28 distinct function count: 5
% 1.06/1.28 distinct constant count: 6
% 1.06/1.28
% 1.06/1.28 ---------- no more Softie stats ----------
% 1.06/1.28
% 1.06/1.28
% 1.06/1.28
% 1.06/1.28 Model 2 (0.00 seconds, 0 Inserts)
% 1.06/1.28
% 1.06/1.28 Stopped by limit on number of solutions
% 1.06/1.28
% 1.06/1.28 =========== start of search ===========
% 7.81/7.98
% 7.81/7.98 -------- PROOF --------
% 7.81/7.98 % SZS status Unsatisfiable
% 7.81/7.98 % SZS output start Refutation
% 7.81/7.98
% 7.81/7.98 Stopped by limit on insertions
% 7.81/7.98
% 7.81/7.98 Stopped by limit on insertions
% 7.81/7.98
% 7.81/7.98 Stopped by limit on insertions
% 7.81/7.98
% 7.81/7.98 Model 3 [ 21 70 231053 ] (0.00 seconds, 250000 Inserts)
% 7.81/7.98
% 7.81/7.98 Stopped by limit on insertions
% 7.81/7.98
% 7.81/7.98 Model 4 [ 80 81 245299 ] (0.00 seconds, 250000 Inserts)
% 7.81/7.98
% 7.81/7.98 Stopped by limit on insertions
% 7.81/7.98
% 7.81/7.98 Model 5 [ 60 42 153174 ] (0.00 seconds, 250000 Inserts)
% 7.81/7.98
% 7.81/7.98 Stopped by limit on insertions
% 7.81/7.98
% 7.81/7.98 Model 6 [ 56 72 245379 ] (0.00 seconds, 250000 Inserts)
% 7.81/7.98
% 7.81/7.98 Stopped by limit on insertions
% 7.81/7.98
% 7.81/7.98 Model 7 [ 83 57 196121 ] (0.00 seconds, 250000 Inserts)
% 7.81/7.98
% 7.81/7.98 Stopped by limit on insertions
% 7.81/7.98
% 7.81/7.98 -----> EMPTY CLAUSE at 7.58 sec ----> 223 [back_demod,22,demod,222,222,222,222,unit_del,169,169,169,172] {-} $F.
% 7.81/7.98
% 7.81/7.98 Length of proof is 9. Level of proof is 3.
% 7.81/7.98
% 7.81/7.98 ---------------- PROOF ----------------
% 7.81/7.98 % SZS status Unsatisfiable
% 7.81/7.98 % SZS output start Refutation
% 7.81/7.98
% 7.81/7.98 2 [] {+} -equidistant(A,B,C,C)|A=B.
% 7.81/7.98 16 [] {+} -between(A,B,C)|colinear(A,B,C).
% 7.81/7.98 17 [] {+} -between(A,B,C)|colinear(C,A,B).
% 7.81/7.98 18 [] {+} -between(A,B,C)|colinear(B,C,A).
% 7.81/7.98 20 [] {-} -colinear(x,x,y)| -colinear(x,y,x)| -colinear(y,x,x)|x=y.
% 7.81/7.98 21 [copy,20,flip.4] {+} -colinear(x,x,y)| -colinear(x,y,x)| -colinear(y,x,x)|y=x.
% 7.81/7.98 22 [] {+} -colinear(x,x,y)| -colinear(x,y,x)| -colinear(y,x,x)| -colinear(x,z,y).
% 7.81/7.98 43 [] {-} between(A,B,extension(A,B,C,D)).
% 7.81/7.98 44 [] {+} equidistant(A,extension(B,A,C,D),C,D).
% 7.81/7.98 51 [hyper,43,18] {-} colinear(A,extension(B,A,C,D),B).
% 7.81/7.98 52 [hyper,43,17] {+} colinear(extension(A,B,C,D),A,B).
% 7.81/7.98 53 [hyper,43,16] {+} colinear(A,B,extension(A,B,C,D)).
% 7.81/7.98 110 [hyper,44,2,flip.1] {+} extension(A,B,C,C)=B.
% 7.81/7.98 169 [para_from,110.1.1,51.1.2] {-} colinear(A,A,B).
% 7.81/7.98 171 [para_from,110.1.1,53.1.3] {-} colinear(A,B,B).
% 7.81/7.98 172 [para_from,110.1.1,52.1.1] {-} colinear(A,B,A).
% 7.81/7.98 222,221 [hyper,172,21,169,171] {-} y=x.
% 7.81/7.98 223 [back_demod,22,demod,222,222,222,222,unit_del,169,169,169,172] {-} $F.
% 7.81/7.98
% 7.81/7.98 % SZS output end Refutation
% 7.81/7.98 ------------ end of proof -------------
% 7.81/7.98
% 7.81/7.98
% 7.81/7.98 Search stopped by max_proofs option.
% 7.81/7.98
% 7.81/7.98
% 7.81/7.98 Search stopped by max_proofs option.
% 7.81/7.98
% 7.81/7.98 ============ end of search ============
% 7.81/7.98
% 7.81/7.98 ----------- soft-scott stats ----------
% 7.81/7.98
% 7.81/7.98 true clauses given 1 (7.7%)
% 7.81/7.98 false clauses given 12
% 7.81/7.98
% 7.81/7.98 FALSE TRUE
% 7.81/7.98 4 1 0
% 7.81/7.98 5 1 0
% 7.81/7.98 7 0 1
% 7.81/7.98 8 0 1
% 7.81/7.98 9 4 0
% 7.81/7.98 12 0 1
% 7.81/7.98 13 4 3
% 7.81/7.98 14 2 0
% 7.81/7.98 15 1 0
% 7.81/7.98 16 4 2
% 7.81/7.98 17 1 0
% 7.81/7.98 18 2 0
% 7.81/7.98 19 1 0
% 7.81/7.98 20 2 2
% 7.81/7.98 21 1 1
% 7.81/7.98 22 1 1
% 7.81/7.98 24 1 0
% 7.81/7.98 25 0 1
% 7.81/7.98 26 1 0
% 7.81/7.98 30 2 1
% 7.81/7.98 31 0 2
% 7.81/7.98 33 12 0
% 7.81/7.98 34 5 0
% 7.81/7.98 35 1 4
% 7.81/7.98 36 3 2
% 7.81/7.98 37 5 0
% 7.81/7.98 38 8 0
% 7.81/7.98 39 3 0
% 7.81/7.98 40 0 6
% 7.81/7.98 41 0 1
% 7.81/7.98 42 1 4
% 7.81/7.98 43 10 0
% 7.81/7.98 44 2 0
% 7.81/7.98 45 1 1
% 7.81/7.98 47 0 1
% 7.81/7.98 48 3 0
% 7.81/7.98 49 0 4
% 7.81/7.98 50 1 1
% 7.81/7.98 53 2 0
% 7.81/7.98 54 0 2
% 7.81/7.98 55 2 0
% 7.81/7.98 56 1 0
% 7.81/7.98 57 1 0
% 7.81/7.98 58 0 1
% 7.81/7.98 tot: 90 43 (32.3% true)
% 7.81/7.98
% 7.81/7.98
% 7.81/7.98 Model 7 [ 83 -126 196121 ] (0.00 seconds, 250000 Inserts)
% 7.81/7.98
% 7.81/7.98 That finishes the proof of the theorem.
% 7.81/7.98
% 7.81/7.98 Process 32296 finished Sat Jun 18 15:57:46 2022
%------------------------------------------------------------------------------