%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO223+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n026.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 200.52s 200.74s
% Output : Refutation 200.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO223+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 18:46:40 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 sandbox2 on n026.cluster.edu,
% 0.12/0.36 Sat Jun 18 18:46:40 2022
% 0.12/0.36 The command was "./sos". The process ID is 14079.
% 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 formula_list(usable).
% 0.12/0.36
% 0.12/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 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 Following clause subsumed by 15 during input processing: 0 [] {-} -distinct_lines(A,B)|apart_point_and_line(C,A)|apart_point_and_line(C,B)|convergent_lines(A,B).
% 0.12/0.36 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).
% 0.12/0.36 28 back subsumes 27.
% 0.12/0.36
% 0.12/0.36 ------------> process sos:
% 0.12/0.36 Following clause subsumed by 39 during input processing: 0 [] {-} convergent_lines(A,B)|unorthogonal_lines(A,B).
% 0.12/0.36
% 0.12/0.36 ======= end of input processing =======
% 0.12/0.40
% 0.12/0.40 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.40
% 0.12/0.40 Stopped by limit on number of solutions
% 0.12/0.40
% 0.12/0.40
% 0.12/0.40 -------------- Softie stats --------------
% 0.12/0.40
% 0.12/0.40 UPDATE_STOP: 300
% 0.12/0.40 SFINDER_TIME_LIMIT: 2
% 0.12/0.40 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.40 number of clauses in intial UL: 37
% 0.12/0.40 number of clauses initially in problem: 43
% 0.12/0.40 percentage of clauses intially in UL: 86
% 0.12/0.40 percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.40 percent of all initial clauses that are short: 100
% 0.12/0.40 absolute distinct symbol count: 18
% 0.12/0.40 distinct predicate count: 12
% 0.12/0.40 distinct function count: 4
% 0.12/0.40 distinct constant count: 2
% 0.12/0.40
% 0.12/0.40 ---------- no more Softie stats ----------
% 0.12/0.40
% 0.12/0.40
% 0.12/0.40
% 0.12/0.40 Model 2 (0.00 seconds, 0 Inserts)
% 0.12/0.40
% 0.12/0.40 Stopped by limit on number of solutions
% 0.12/0.40
% 0.12/0.40 =========== start of search ===========
% 200.52/200.74
% 200.52/200.74 -- HEY sandbox2, WE HAVE A PROOF!! --
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Model 3 [ 3 1 789 ] (0.00 seconds, 250000 Inserts)
% 200.52/200.74
% 200.52/200.74 Model 4 (0.00 seconds, 250000 Inserts)
% 200.52/200.74
% 200.52/200.74 Stopped by limit on number of solutions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Model 5 [ 13 2 45561 ] (0.00 seconds, 250000 Inserts)
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Model 6 [ 130 1 1435 ] (0.00 seconds, 250000 Inserts)
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Model 7 [ 1261 16 3676 ] (0.00 seconds, 250000 Inserts)
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 Stopped by limit on insertions
% 200.52/200.74
% 200.52/200.74 ----> UNIT CONFLICT at 200.36 sec ----> 1334 [binary,1333.1,16.1] {-} $F.
% 200.52/200.74
% 200.52/200.74 Length of proof is 22. Level of proof is 12.
% 200.52/200.74
% 200.52/200.74 ---------------- PROOF ----------------
% 200.52/200.74 % SZS status Theorem
% 200.52/200.74 % SZS output start Refutation
% 200.52/200.74
% 200.52/200.74 6 [] {+} -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 200.52/200.74 15 [] {+} -distinct_lines(A,B)|convergent_lines(A,B).
% 200.52/200.74 16 [] {+} -convergent_lines(parallel_through_point(A,B),A).
% 200.52/200.74 19 [] {+} -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|convergent_lines(B,C).
% 200.52/200.74 20 [] {+} -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|unorthogonal_lines(B,C).
% 200.52/200.74 21 [] {+} -unorthogonal_lines(orthogonal_through_point(A,B),A).
% 200.52/200.74 26 [] {+} unorthogonal_lines(A,B)|convergent_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 200.52/200.74 28 [] {+} unorthogonal_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C).
% 200.52/200.74 37 [] {+} -orthogonal_lines(A,B)| -unorthogonal_lines(A,B).
% 200.52/200.74 38 [] {+} -equal_lines(parallel_through_point($c1,$c2),orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2)).
% 200.52/200.74 39 [] {+} convergent_lines(A,B)|unorthogonal_lines(A,B).
% 200.52/200.74 41 [] {-} equal_lines(A,B)|distinct_lines(A,B).
% 200.52/200.74 44 [] {-} orthogonal_lines(A,B)|unorthogonal_lines(A,B).
% 200.52/200.74 45 [hyper,39,21] {+} convergent_lines(orthogonal_through_point(A,B),A).
% 200.52/200.74 61 [hyper,45,28] {-} unorthogonal_lines(A,orthogonal_through_point(B,C))|unorthogonal_lines(A,B).
% 200.52/200.74 63 [hyper,45,6] {-} convergent_lines(orthogonal_through_point(A,B),C)|convergent_lines(A,C).
% 200.52/200.74 65 [hyper,41,38] {-} distinct_lines(parallel_through_point($c1,$c2),orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2)).
% 200.52/200.74 70 [para_from,41.1.1,45.1.1] {-} convergent_lines(A,B)|distinct_lines(orthogonal_through_point(B,C),A).
% 200.52/200.74 75 [para_from,41.1.1,16.1.1] {+} -convergent_lines(A,B)|distinct_lines(parallel_through_point(B,C),A).
% 200.52/200.74 160 [hyper,63,26,44] {-} convergent_lines(orthogonal_through_point(A,B),C)|unorthogonal_lines(D,A)|convergent_lines(D,C)|orthogonal_lines(A,C).
% 200.52/200.74 196 [factor,160.1.3,unit_del,21] {-} convergent_lines(orthogonal_through_point(A,B),C)|orthogonal_lines(A,C).
% 200.52/200.74 271 [hyper,70,15] {-} convergent_lines(A,B)|convergent_lines(orthogonal_through_point(B,C),A).
% 200.52/200.74 389 [hyper,271,19,44] {-} convergent_lines(A,B)|unorthogonal_lines(orthogonal_through_point(B,C),D)|convergent_lines(A,D)|orthogonal_lines(orthogonal_through_point(B,C),A).
% 200.52/200.74 402 [factor,389.1.3,unit_del,21] {-} convergent_lines(A,B)|orthogonal_lines(orthogonal_through_point(B,C),A).
% 200.52/200.74 504 [hyper,65,15] {-} convergent_lines(parallel_through_point($c1,$c2),orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2)).
% 200.52/200.74 825 [hyper,504,20,61] {-} unorthogonal_lines(parallel_through_point($c1,$c2),A)|unorthogonal_lines(orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2),A)|unorthogonal_lines(parallel_through_point($c1,$c2),orthogonal_through_point($c1,$c2)).
% 200.52/200.74 834 [factor,825.1.3,unit_del,21] {+} unorthogonal_lines(parallel_through_point($c1,$c2),orthogonal_through_point($c1,$c2)).
% 200.52/200.74 874 [hyper,834,37,196] {-} convergent_lines(orthogonal_through_point(parallel_through_point($c1,$c2),A),orthogonal_through_point($c1,$c2)).
% 200.52/200.74 1118 [hyper,874,20,61] {-} unorthogonal_lines(orthogonal_through_point(parallel_through_point($c1,$c2),A),B)|unorthogonal_lines(orthogonal_through_point($c1,$c2),B)|unorthogonal_lines(orthogonal_through_point(parallel_through_point($c1,$c2),A),$c1).
% 200.52/200.74 1127 [factor,1118.1.3,unit_del,21] {+} unorthogonal_lines(orthogonal_through_point(parallel_through_point($c1,$c2),A),$c1).
% 200.52/200.74 1259 [hyper,1127,37,402] {-} convergent_lines($c1,parallel_through_point($c1,$c2)).
% 200.52/200.74 1278 [hyper,1259,75] {-} distinct_lines(parallel_through_point(parallel_through_point($c1,$c2),A),$c1).
% 200.52/200.74 1326 [para_into,1278.1.1.1,41.1.1] {-} distinct_lines(parallel_through_point(A,B),$c1)|distinct_lines(parallel_through_point($c1,$c2),A).
% 200.52/200.74 1331 [factor,1326.1.2] {-} distinct_lines(parallel_through_point($c1,$c2),$c1).
% 200.52/200.74 1333 [hyper,1331,15] {-} convergent_lines(parallel_through_point($c1,$c2),$c1).
% 200.52/200.74 1334 [binary,1333.1,16.1] {-} $F.
% 200.52/200.74
% 200.52/200.74 % SZS output end Refutation
% 200.52/200.74 ------------ end of proof -------------
% 200.52/200.74
% 200.52/200.74
% 200.52/200.74 Search stopped by max_proofs option.
% 200.52/200.74
% 200.52/200.74
% 200.52/200.74 Search stopped by max_proofs option.
% 200.52/200.74
% 200.52/200.74 ============ end of search ============
% 200.52/200.74
% 200.52/200.74 ----------- soft-scott stats ----------
% 200.52/200.74
% 200.52/200.74 true clauses given 27 (23.9%)
% 200.52/200.74 false clauses given 86
% 200.52/200.74
% 200.52/200.74 FALSE TRUE
% 200.52/200.74 7 1 2
% 200.52/200.74 8 9 1
% 200.52/200.74 9 6 4
% 200.52/200.74 10 91 26
% 200.52/200.74 11 93 22
% 200.52/200.74 12 213 9
% 200.52/200.74 13 5 8
% 200.52/200.74 14 1 22
% 200.52/200.74 15 9 27
% 200.52/200.74 16 6 5
% 200.52/200.74 17 25 14
% 200.52/200.74 18 5 2
% 200.52/200.74 19 15 14
% 200.52/200.74 20 1 8
% 200.52/200.74 21 26 44
% 200.52/200.74 22 4 1
% 200.52/200.74 23 18 55
% 200.52/200.74 24 25 10
% 200.52/200.74 25 16 0
% 200.52/200.74 26 24 0
% 200.52/200.74 27 26 0
% 200.52/200.74 28 16 0
% 200.52/200.74 29 20 0
% 200.52/200.74 31 52 0
% 200.52/200.74 32 24 0
% 200.52/200.74 36 24 0
% 200.52/200.74 tot: 755 274 (26.6% true)
% 200.52/200.74
% 200.52/200.74
% 200.52/200.74 Model 7 [ 1261 -15398 3676 ] (0.00 seconds, 250000 Inserts)
% 200.52/200.74
% 200.52/200.74 That finishes the proof of the theorem.
% 200.52/200.74
% 200.52/200.74 Process 14079 finished Sat Jun 18 18:50:00 2022
%------------------------------------------------------------------------------