TSTP Solution File: GEO223+2 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO223+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n010.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 06:19:23 EDT 2022
% Result : Theorem 104.69s 104.91s
% Output : Refutation 104.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO223+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 06:22:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36 ----- Otter 3.2, August 2001 -----
% 0.13/0.36 The process was started by sandbox on n010.cluster.edu,
% 0.13/0.36 Sat Jun 18 06:22:53 2022
% 0.13/0.36 The command was "./sos". The process ID is 12202.
% 0.13/0.36
% 0.13/0.36 set(prolog_style_variables).
% 0.13/0.36 set(auto).
% 0.13/0.36 dependent: set(auto1).
% 0.13/0.36 dependent: set(process_input).
% 0.13/0.36 dependent: clear(print_kept).
% 0.13/0.36 dependent: clear(print_new_demod).
% 0.13/0.36 dependent: clear(print_back_demod).
% 0.13/0.36 dependent: clear(print_back_sub).
% 0.13/0.36 dependent: set(control_memory).
% 0.13/0.36 dependent: assign(max_mem, 12000).
% 0.13/0.36 dependent: assign(pick_given_ratio, 4).
% 0.13/0.36 dependent: assign(stats_level, 1).
% 0.13/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36 dependent: assign(sos_limit, 5000).
% 0.13/0.36 dependent: assign(max_weight, 60).
% 0.13/0.36 clear(print_given).
% 0.13/0.36
% 0.13/0.36 formula_list(usable).
% 0.13/0.36
% 0.13/0.36 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 0.13/0.36
% 0.13/0.36 This is a non-Horn set without equality. The strategy
% 0.13/0.36 will be ordered hyper_res, ur_res, unit deletion, and
% 0.13/0.36 factoring, with satellites in sos and nuclei in usable.
% 0.13/0.36
% 0.13/0.36 dependent: set(hyper_res).
% 0.13/0.36 dependent: set(factor).
% 0.13/0.36 dependent: set(unit_deletion).
% 0.13/0.36
% 0.13/0.36 ------------> process usable:
% 0.13/0.36 Following clause subsumed by 6 during input processing: 0 [] {-} -convergent_lines(A,B)| -unorthogonal_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 0.13/0.36
% 0.13/0.36 ------------> process sos:
% 0.13/0.36
% 0.13/0.36 ======= end of input processing =======
% 0.19/0.41
% 0.19/0.41 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.41
% 0.19/0.41 Stopped by limit on number of solutions
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 -------------- Softie stats --------------
% 0.19/0.41
% 0.19/0.41 UPDATE_STOP: 300
% 0.19/0.41 SFINDER_TIME_LIMIT: 2
% 0.19/0.41 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.41 number of clauses in intial UL: 23
% 0.19/0.41 number of clauses initially in problem: 25
% 0.19/0.41 percentage of clauses intially in UL: 92
% 0.19/0.41 percentage of distinct symbols occuring in initial UL: 81
% 0.19/0.41 percent of all initial clauses that are short: 100
% 0.19/0.41 absolute distinct symbol count: 11
% 0.19/0.41 distinct predicate count: 5
% 0.19/0.41 distinct function count: 4
% 0.19/0.41 distinct constant count: 2
% 0.19/0.41
% 0.19/0.41 ---------- no more Softie stats ----------
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.41
% 0.19/0.41 Stopped by limit on number of solutions
% 0.19/0.41
% 0.19/0.41 =========== start of search ===========
% 27.62/27.83
% 27.62/27.83
% 27.62/27.83 Changing weight limit from 60 to 54.
% 27.62/27.83
% 27.62/27.83 Model 3 (0.00 seconds, 0 Inserts)
% 27.62/27.83
% 27.62/27.83 Stopped by limit on number of solutions
% 27.62/27.83
% 27.62/27.83 Resetting weight limit to 54 after 175 givens.
% 27.62/27.83
% 32.91/33.10
% 32.91/33.10
% 32.91/33.10 Changing weight limit from 54 to 53.
% 32.91/33.10
% 32.91/33.10 Resetting weight limit to 53 after 180 givens.
% 32.91/33.10
% 34.91/35.18
% 34.91/35.18
% 34.91/35.18 Changing weight limit from 53 to 51.
% 34.91/35.18
% 34.91/35.18 Resetting weight limit to 51 after 185 givens.
% 34.91/35.18
% 43.64/43.83
% 43.64/43.83
% 43.64/43.83 Changing weight limit from 51 to 48.
% 43.64/43.83
% 43.64/43.83 Resetting weight limit to 48 after 195 givens.
% 43.64/43.83
% 56.25/56.45
% 56.25/56.45
% 56.25/56.45 Changing weight limit from 48 to 45.
% 56.25/56.45
% 56.25/56.45 Resetting weight limit to 45 after 210 givens.
% 56.25/56.45
% 58.62/58.81
% 58.62/58.81
% 58.62/58.81 Changing weight limit from 45 to 44.
% 58.62/58.81
% 58.62/58.81 Resetting weight limit to 44 after 215 givens.
% 58.62/58.81
% 68.71/68.95
% 68.71/68.95
% 68.71/68.95 Changing weight limit from 44 to 43.
% 68.71/68.95
% 68.71/68.95 Resetting weight limit to 43 after 230 givens.
% 68.71/68.95
% 72.84/73.11
% 72.84/73.11
% 72.84/73.11 Changing weight limit from 43 to 42.
% 72.84/73.11
% 72.84/73.11 Resetting weight limit to 42 after 240 givens.
% 72.84/73.11
% 75.25/75.44
% 75.25/75.44
% 75.25/75.44 Changing weight limit from 42 to 41.
% 75.25/75.44
% 75.25/75.44 Resetting weight limit to 41 after 250 givens.
% 75.25/75.44
% 76.51/76.76
% 76.51/76.76
% 76.51/76.76 Changing weight limit from 41 to 40.
% 76.51/76.76
% 76.51/76.76 Resetting weight limit to 40 after 255 givens.
% 76.51/76.76
% 82.43/82.63
% 82.43/82.63
% 82.43/82.63 Changing weight limit from 40 to 39.
% 82.43/82.63
% 82.43/82.63 Resetting weight limit to 39 after 270 givens.
% 82.43/82.63
% 100.29/100.57
% 100.29/100.57
% 100.29/100.57 Changing weight limit from 39 to 38.
% 100.29/100.57
% 100.29/100.57 Resetting weight limit to 38 after 305 givens.
% 100.29/100.57
% 104.69/104.91
% 104.69/104.91 -- HEY sandbox, WE HAVE A PROOF!! --
% 104.69/104.91
% 104.69/104.91 ----> UNIT CONFLICT at 104.50 sec ----> 15047 [binary,15046.1,22.1] {+} $F.
% 104.69/104.91
% 104.69/104.91 Length of proof is 14. Level of proof is 11.
% 104.69/104.91
% 104.69/104.91 ---------------- PROOF ----------------
% 104.69/104.91 % SZS status Theorem
% 104.69/104.91 % SZS output start Refutation
% 104.69/104.91
% 104.69/104.91 3 [] {+} -convergent_lines(A,A).
% 104.69/104.91 6 [] {+} -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 104.69/104.91 15 [] {+} -convergent_lines(parallel_through_point(A,B),A).
% 104.69/104.91 16 [] {+} -apart_point_and_line(A,parallel_through_point(B,A)).
% 104.69/104.91 18 [] {+} -convergent_lines(A,B)| -unorthogonal_lines(A,B)|convergent_lines(A,C)|unorthogonal_lines(B,C).
% 104.69/104.91 19 [] {+} -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|convergent_lines(B,C).
% 104.69/104.91 21 [] {+} -unorthogonal_lines(orthogonal_through_point(A,B),A).
% 104.69/104.91 22 [] {+} -apart_point_and_line(A,orthogonal_through_point(B,A)).
% 104.69/104.91 23 [] {+} -distinct_lines(A,B)|apart_point_and_line(C,A)|apart_point_and_line(C,B)|unorthogonal_lines(A,D)|unorthogonal_lines(B,D).
% 104.69/104.91 24 [] {+} convergent_lines(A,B)|unorthogonal_lines(A,B).
% 104.69/104.91 25 [] {-} distinct_lines(parallel_through_point($c1,$c2),orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2)).
% 104.69/104.91 26 [hyper,24,21] {+} convergent_lines(orthogonal_through_point(A,B),A).
% 104.69/104.91 27 [hyper,25,23] {-} apart_point_and_line(A,parallel_through_point($c1,$c2))|apart_point_and_line(A,orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2))|unorthogonal_lines(parallel_through_point($c1,$c2),B)|unorthogonal_lines(orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2),B).
% 104.69/104.91 39 [hyper,26,6] {+} convergent_lines(orthogonal_through_point(A,B),C)|convergent_lines(A,C).
% 104.69/104.91 75 [hyper,39,6] {+} convergent_lines(A,B)|convergent_lines(orthogonal_through_point(A,C),D)|convergent_lines(B,D).
% 104.69/104.91 1110 [hyper,75,6] {+} convergent_lines(A,B)|convergent_lines(orthogonal_through_point(A,C),D)|convergent_lines(B,E)|convergent_lines(D,E).
% 104.69/104.91 1153 [factor,1110.1.3,unit_del,3] {+} convergent_lines(orthogonal_through_point(A,B),C)|convergent_lines(C,A).
% 104.69/104.91 3341 [hyper,1153,19,27] {-} convergent_lines(A,orthogonal_through_point($c1,$c2))|unorthogonal_lines(orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2),B)|convergent_lines(A,B)|apart_point_and_line(C,parallel_through_point($c1,$c2))|apart_point_and_line(C,orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2))|unorthogonal_lines(parallel_through_point($c1,$c2),A).
% 104.69/104.91 3454 [hyper,1153,15] {+} convergent_lines(orthogonal_through_point(A,B),parallel_through_point(A,C)).
% 104.69/104.91 3486 [factor,3341.1.3,unit_del,21] {-} convergent_lines(A,orthogonal_through_point($c1,$c2))|apart_point_and_line(B,parallel_through_point($c1,$c2))|apart_point_and_line(B,orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2))|unorthogonal_lines(parallel_through_point($c1,$c2),A).
% 104.69/104.91 3691 [hyper,3454,6] {+} convergent_lines(orthogonal_through_point(A,B),C)|convergent_lines(parallel_through_point(A,D),C).
% 104.69/104.91 14881 [hyper,3691,18,3486] {-} convergent_lines(orthogonal_through_point($c1,A),B)|convergent_lines(parallel_through_point($c1,$c2),C)|unorthogonal_lines(B,C)|convergent_lines(B,orthogonal_through_point($c1,$c2))|apart_point_and_line(D,parallel_through_point($c1,$c2))|apart_point_and_line(D,orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2)).
% 104.69/104.91 14924 [factor,14881.1.4,unit_del,3] {-} convergent_lines(parallel_through_point($c1,$c2),A)|unorthogonal_lines(orthogonal_through_point($c1,$c2),A)|apart_point_and_line(B,parallel_through_point($c1,$c2))|apart_point_and_line(B,orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2)).
% 104.69/104.91 14948 [hyper,14924,21,unit_del,15] {-} apart_point_and_line(A,parallel_through_point($c1,$c2))|apart_point_and_line(A,orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2)).
% 104.69/104.91 15046 [hyper,14948,16] {-} apart_point_and_line($c2,orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2)).
% 104.69/104.91 15047 [binary,15046.1,22.1] {+} $F.
% 104.69/104.91
% 104.69/104.91 % SZS output end Refutation
% 104.69/104.91 ------------ end of proof -------------
% 104.69/104.91
% 104.69/104.91
% 104.69/104.91 Search stopped by max_proofs option.
% 104.69/104.91
% 104.69/104.91
% 104.69/104.91 Search stopped by max_proofs option.
% 104.69/104.91
% 104.69/104.91 ============ end of search ============
% 104.69/104.91
% 104.69/104.91 ----------- soft-scott stats ----------
% 104.69/104.91
% 104.69/104.91 true clauses given 73 (23.2%)
% 104.69/104.91 false clauses given 241
% 104.69/104.91
% 104.69/104.91 FALSE TRUE
% 104.69/104.91 7 0 1
% 104.69/104.91 10 0 9
% 104.69/104.91 11 0 17
% 104.69/104.91 12 0 24
% 104.69/104.91 13 0 37
% 104.69/104.91 14 0 5
% 104.69/104.91 15 0 7
% 104.69/104.91 17 0 6
% 104.69/104.91 18 0 22
% 104.69/104.91 19 0 13
% 104.69/104.91 20 0 36
% 104.69/104.91 21 0 62
% 104.69/104.91 22 0 41
% 104.69/104.91 23 0 51
% 104.69/104.91 24 104 89
% 104.69/104.91 25 25 101
% 104.69/104.91 26 96 130
% 104.69/104.91 27 123 216
% 104.69/104.91 28 56 130
% 104.69/104.91 29 76 172
% 104.69/104.91 30 144 281
% 104.69/104.91 31 109 167
% 104.69/104.91 32 165 214
% 104.69/104.91 33 195 475
% 104.69/104.91 34 219 94
% 104.69/104.91 35 229 0
% 104.69/104.91 36 395 7
% 104.69/104.91 37 278 12
% 104.69/104.91 38 196 2
% 104.69/104.91 tot: 2410 2421 (50.1% true)
% 104.69/104.91
% 104.69/104.91
% 104.69/104.91 Model 3 (0.01 seconds, 0 Inserts)
% 104.69/104.91
% 104.69/104.91 That finishes the proof of the theorem.
% 104.69/104.91
% 104.69/104.91 Process 12202 finished Sat Jun 18 06:24:37 2022
%------------------------------------------------------------------------------