TSTP Solution File: GEO187+2 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO187+2 : TPTP v8.1.0. Released v3.3.0.
% 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 06:18:53 EDT 2022
% Result : Theorem 35.30s 35.48s
% Output : Refutation 35.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO187+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % 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 17:02:58 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 sandbox2 on n025.cluster.edu,
% 0.12/0.35 Sat Jun 18 17:02:58 2022
% 0.12/0.35 The command was "./sos". The process ID is 1072.
% 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 formula_list(usable).
% 0.12/0.35
% 0.12/0.35 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 0.12/0.35
% 0.12/0.35 This is a non-Horn set without equality. The strategy
% 0.12/0.35 will be ordered hyper_res, ur_res, unit deletion, and
% 0.12/0.35 factoring, with satellites in sos and nuclei in usable.
% 0.12/0.35
% 0.12/0.35 dependent: set(hyper_res).
% 0.12/0.35 dependent: set(factor).
% 0.12/0.35 dependent: set(unit_deletion).
% 0.12/0.35
% 0.12/0.35 ------------> process usable:
% 0.12/0.35
% 0.12/0.35 ------------> process sos:
% 0.12/0.35
% 0.12/0.35 ======= end of input processing =======
% 0.12/0.38
% 0.12/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.38
% 0.12/0.38 Stopped by limit on number of solutions
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 -------------- Softie stats --------------
% 0.12/0.38
% 0.12/0.38 UPDATE_STOP: 300
% 0.12/0.38 SFINDER_TIME_LIMIT: 2
% 0.12/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.38 number of clauses in intial UL: 16
% 0.12/0.38 number of clauses initially in problem: 19
% 0.12/0.38 percentage of clauses intially in UL: 84
% 0.12/0.38 percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.38 percent of all initial clauses that are short: 100
% 0.12/0.38 absolute distinct symbol count: 10
% 0.12/0.38 distinct predicate count: 4
% 0.12/0.38 distinct function count: 2
% 0.12/0.38 distinct constant count: 4
% 0.12/0.38
% 0.12/0.38 ---------- no more Softie stats ----------
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 Model 2 (0.00 seconds, 0 Inserts)
% 0.12/0.38
% 0.12/0.38 Stopped by limit on number of solutions
% 0.12/0.38
% 0.12/0.38 =========== start of search ===========
% 35.30/35.48
% 35.30/35.48 -- HEY sandbox2, WE HAVE A PROOF!! --
% 35.30/35.48
% 35.30/35.48 Model 3 (0.00 seconds, 0 Inserts)
% 35.30/35.48
% 35.30/35.48 Stopped by limit on number of solutions
% 35.30/35.48
% 35.30/35.48 Model 4 (0.00 seconds, 0 Inserts)
% 35.30/35.48
% 35.30/35.48 Stopped by limit on number of solutions
% 35.30/35.48
% 35.30/35.48 Stopped by limit on insertions
% 35.30/35.48
% 35.30/35.48 Model 5 [ 1 1 67 ] (0.00 seconds, 250000 Inserts)
% 35.30/35.48
% 35.30/35.48 Stopped by limit on insertions
% 35.30/35.48
% 35.30/35.48 Model 6 [ 1 0 70 ] (0.00 seconds, 250000 Inserts)
% 35.30/35.48
% 35.30/35.48 Model 7 (0.00 seconds, 250000 Inserts)
% 35.30/35.48
% 35.30/35.48 Stopped by limit on number of solutions
% 35.30/35.48
% 35.30/35.48 Stopped by limit on insertions
% 35.30/35.48
% 35.30/35.48 Model 8 [ 2 1 129 ] (0.00 seconds, 250000 Inserts)
% 35.30/35.48
% 35.30/35.48 Stopped by limit on insertions
% 35.30/35.48
% 35.30/35.48 Model 9 [ 1 0 489 ] (0.00 seconds, 250000 Inserts)
% 35.30/35.48
% 35.30/35.48 ----> UNIT CONFLICT at 35.09 sec ----> 2623 [binary,2622.1,1.1] {-} $F.
% 35.30/35.48
% 35.30/35.48 Length of proof is 20. Level of proof is 11.
% 35.30/35.48
% 35.30/35.48 ---------------- PROOF ----------------
% 35.30/35.48 % SZS status Theorem
% 35.30/35.48 % SZS output start Refutation
% 35.30/35.48
% 35.30/35.48 1 [] {+} -distinct_points(A,A).
% 35.30/35.48 4 [] {+} -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 35.30/35.48 7 [] {+} -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,A).
% 35.30/35.48 8 [] {+} -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,B).
% 35.30/35.48 11 [] {+} -distinct_points(A,B)| -distinct_lines(C,D)|apart_point_and_line(A,C)|apart_point_and_line(A,D)|apart_point_and_line(B,C)|apart_point_and_line(B,D).
% 35.30/35.48 13 [] {+} -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 35.30/35.48 15 [] {+} -apart_point_and_line($c4,line_connecting($c2,$c1)).
% 35.30/35.48 16 [] {+} -apart_point_and_line($c3,line_connecting($c2,$c1)).
% 35.30/35.48 17 [] {+} distinct_points($c4,$c3).
% 35.30/35.48 18 [] {+} distinct_points($c2,$c1).
% 35.30/35.48 19 [] {-} apart_point_and_line($c2,line_connecting($c4,$c3))|apart_point_and_line($c1,line_connecting($c4,$c3)).
% 35.30/35.48 20 [hyper,17,4] {+} distinct_points($c4,A)|distinct_points($c3,A).
% 35.30/35.48 22 [hyper,19,13] {-} apart_point_and_line($c1,line_connecting($c4,$c3))|distinct_lines(line_connecting($c4,$c3),A)|apart_point_and_line($c2,A).
% 35.30/35.48 32 [hyper,20,4] {+} distinct_points($c3,A)|distinct_points($c4,B)|distinct_points(A,B).
% 35.30/35.48 33 [hyper,20,1] {+} distinct_points($c3,$c4).
% 35.30/35.48 42 [hyper,22,11,33] {-} apart_point_and_line($c1,line_connecting($c4,$c3))|apart_point_and_line($c2,A)|apart_point_and_line($c3,line_connecting($c4,$c3))|apart_point_and_line($c3,A)|apart_point_and_line($c4,line_connecting($c4,$c3))|apart_point_and_line($c4,A).
% 35.30/35.48 72 [hyper,32,1] {+} distinct_points($c3,A)|distinct_points(A,$c4).
% 35.30/35.48 75 [hyper,32,4] {+} distinct_points($c3,A)|distinct_points($c4,B)|distinct_points(A,C)|distinct_points(B,C).
% 35.30/35.48 84 [factor,75.1.3,unit_del,1] {+} distinct_points($c4,A)|distinct_points(A,$c3).
% 35.30/35.48 93 [hyper,72,4] {+} distinct_points(A,$c4)|distinct_points($c3,B)|distinct_points(A,B).
% 35.30/35.48 192 [hyper,42,7,18,unit_del,16,15,1] {-} apart_point_and_line($c1,line_connecting($c4,$c3))|apart_point_and_line($c3,line_connecting($c4,$c3))|apart_point_and_line($c4,line_connecting($c4,$c3)).
% 35.30/35.48 210 [hyper,192,8,84,unit_del,1,1] {-} apart_point_and_line($c1,line_connecting($c4,$c3))|apart_point_and_line($c4,line_connecting($c4,$c3)).
% 35.30/35.48 222 [hyper,210,7,84,unit_del,1,1] {-} apart_point_and_line($c1,line_connecting($c4,$c3)).
% 35.30/35.48 223 [hyper,222,13] {-} distinct_lines(line_connecting($c4,$c3),A)|apart_point_and_line($c1,A).
% 35.30/35.48 272 [hyper,223,11,33] {-} apart_point_and_line($c1,A)|apart_point_and_line($c3,line_connecting($c4,$c3))|apart_point_and_line($c3,A)|apart_point_and_line($c4,line_connecting($c4,$c3))|apart_point_and_line($c4,A).
% 35.30/35.48 495 [hyper,93,4] {-} distinct_points(A,$c4)|distinct_points(A,B)|distinct_points($c3,C)|distinct_points(B,C).
% 35.30/35.48 1168 [hyper,495,1] {-} distinct_points(A,$c4)|distinct_points(A,B)|distinct_points(B,$c3).
% 35.30/35.48 1198 [hyper,1168,4] {-} distinct_points(A,$c4)|distinct_points(B,$c3)|distinct_points(A,C)|distinct_points(B,C).
% 35.30/35.48 2570 [hyper,272,8,18,unit_del,16,15,1] {-} apart_point_and_line($c3,line_connecting($c4,$c3))|apart_point_and_line($c4,line_connecting($c4,$c3)).
% 35.30/35.48 2605 [hyper,2570,8,1168,unit_del,1,1,1] {+} apart_point_and_line($c4,line_connecting($c4,$c3)).
% 35.30/35.48 2622 [hyper,2605,7,1198,unit_del,1,1,factor_simp] {-} distinct_points(A,$c3).
% 35.30/35.48 2623 [binary,2622.1,1.1] {-} $F.
% 35.30/35.48
% 35.30/35.48 % SZS output end Refutation
% 35.30/35.48 ------------ end of proof -------------
% 35.30/35.48
% 35.30/35.48
% 35.30/35.48 Search stopped by max_proofs option.
% 35.30/35.48
% 35.30/35.48
% 35.30/35.48 Search stopped by max_proofs option.
% 35.30/35.48
% 35.30/35.48 ============ end of search ============
% 35.30/35.48
% 35.30/35.48 ----------- soft-scott stats ----------
% 35.30/35.48
% 35.30/35.48 true clauses given 47 (29.6%)
% 35.30/35.48 false clauses given 112
% 35.30/35.48
% 35.30/35.48 FALSE TRUE
% 35.30/35.48 5 0 1
% 35.30/35.48 9 0 9
% 35.30/35.48 11 0 2
% 35.30/35.48 12 0 12
% 35.30/35.48 15 16 17
% 35.30/35.48 17 0 16
% 35.30/35.48 18 16 13
% 35.30/35.48 20 0 4
% 35.30/35.48 23 0 39
% 35.30/35.48 25 0 8
% 35.30/35.48 26 0 134
% 35.30/35.48 28 0 43
% 35.30/35.48 29 0 254
% 35.30/35.48 31 0 88
% 35.30/35.48 32 0 366
% 35.30/35.48 34 0 102
% 35.30/35.48 35 0 243
% 35.30/35.48 36 0 4
% 35.30/35.48 37 0 36
% 35.30/35.48 39 0 6
% 35.30/35.48 42 0 10
% 35.30/35.48 45 0 12
% 35.30/35.48 tot: 32 1419 (97.8% true)
% 35.30/35.48
% 35.30/35.48
% 35.30/35.48 Model 9 [ 1 0 489 ] (0.00 seconds, 250000 Inserts)
% 35.30/35.48
% 35.30/35.48 That finishes the proof of the theorem.
% 35.30/35.48
% 35.30/35.48 Process 1072 finished Sat Jun 18 17:03:33 2022
%------------------------------------------------------------------------------