%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO188+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n019.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 06:18:54 EDT 2022
% Result : Theorem 201.37s 201.70s
% Output : Refutation 201.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO188+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n019.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 04:01:24 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 sandbox2 on n019.cluster.edu,
% 0.13/0.36 Sat Jun 18 04:01:24 2022
% 0.13/0.36 The command was "./sos". The process ID is 25592.
% 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=1, symmetry=0, max_lits=6.
% 0.13/0.36
% 0.13/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.36 clauses in usable.
% 0.13/0.36
% 0.13/0.36 dependent: set(knuth_bendix).
% 0.13/0.36 dependent: set(para_from).
% 0.13/0.36 dependent: set(para_into).
% 0.13/0.36 dependent: clear(para_from_right).
% 0.13/0.36 dependent: clear(para_into_right).
% 0.13/0.36 dependent: set(para_from_vars).
% 0.13/0.36 dependent: set(eq_units_both_ways).
% 0.13/0.36 dependent: set(dynamic_demod_all).
% 0.13/0.36 dependent: set(dynamic_demod).
% 0.13/0.36 dependent: set(order_eq).
% 0.13/0.36 dependent: set(back_demod).
% 0.13/0.36 dependent: set(lrpo).
% 0.13/0.36 dependent: set(hyper_res).
% 0.13/0.36 dependent: set(unit_deletion).
% 0.13/0.36 dependent: set(factor).
% 0.13/0.36
% 0.13/0.36 ------------> process usable:
% 0.13/0.36 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).
% 0.13/0.36 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 28 back subsumes 27.
% 0.13/0.36
% 0.13/0.36 ------------> process sos:
% 0.13/0.36 Following clause subsumed by 39 during input processing: 0 [] {-} convergent_lines(A,B)|unorthogonal_lines(A,B).
% 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: 37
% 0.19/0.41 number of clauses initially in problem: 47
% 0.19/0.41 percentage of clauses intially in UL: 78
% 0.19/0.41 percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.41 percent of all initial clauses that are short: 100
% 0.19/0.41 absolute distinct symbol count: 19
% 0.19/0.41 distinct predicate count: 12
% 0.19/0.41 distinct function count: 4
% 0.19/0.41 distinct constant count: 3
% 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 ===========
% 197.86/198.20
% 197.86/198.20
% 197.86/198.20 Changing weight limit from 60 to 25.
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Model 3 [ 3 1 154 ] (0.00 seconds, 250000 Inserts)
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Model 4 [ 3 1 516 ] (0.00 seconds, 250000 Inserts)
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Model 5 [ 4 0 302 ] (0.00 seconds, 250000 Inserts)
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Model 6 [ 6 1 623 ] (0.00 seconds, 250000 Inserts)
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Model 7 [ 3 1 845 ] (0.00 seconds, 250000 Inserts)
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Model 8 [ 13 1 842 ] (0.00 seconds, 250000 Inserts)
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Model 9 [ 3 1 391 ] (0.00 seconds, 250000 Inserts)
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Model 10 [ 16 0 3016 ] (0.00 seconds, 250000 Inserts)
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Model 11 [ 21 5 103517 ] (0.00 seconds, 250000 Inserts)
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Model 12 [ 25 0 2385 ] (0.00 seconds, 250000 Inserts)
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Model 13 [ 30 1 1043 ] (0.00 seconds, 250000 Inserts)
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Stopped by limit on insertions
% 197.86/198.20
% 197.86/198.20 Resetting weight limit to 25 after 180 givens.
% 197.86/198.20
% 201.37/201.70
% 201.37/201.70 -- HEY sandbox2, WE HAVE A PROOF!! --
% 201.37/201.70
% 201.37/201.70 Stopped by limit on insertions
% 201.37/201.70
% 201.37/201.70 ----> UNIT CONFLICT at 201.15 sec ----> 4192 [binary,4191.1,16.1] {-} $F.
% 201.37/201.70
% 201.37/201.70 Length of proof is 4. Level of proof is 3.
% 201.37/201.70
% 201.37/201.70 ---------------- PROOF ----------------
% 201.37/201.70 % SZS status Theorem
% 201.37/201.70 % SZS output start Refutation
% 201.37/201.70
% 201.37/201.70 15 [] {+} -distinct_lines(A,B)|convergent_lines(A,B).
% 201.37/201.70 16 [] {+} -convergent_lines(parallel_through_point(A,B),A).
% 201.37/201.70 17 [] {+} -apart_point_and_line(A,parallel_through_point(B,A)).
% 201.37/201.70 38 [] {+} -incident_point_and_line($c3,line_connecting($c1,$c2)).
% 201.37/201.70 41 [] {+} equal_lines(A,B)|distinct_lines(A,B).
% 201.37/201.70 43 [] {-} incident_point_and_line(A,B)|apart_point_and_line(A,B).
% 201.37/201.70 98 [para_from,41.1.1,17.1.2] {+} -apart_point_and_line(A,B)|distinct_lines(parallel_through_point(C,A),B).
% 201.37/201.70 107 [hyper,43,38] {-} apart_point_and_line($c3,line_connecting($c1,$c2)).
% 201.37/201.70 4131 [hyper,98,107] {-} distinct_lines(parallel_through_point(A,$c3),line_connecting($c1,$c2)).
% 201.37/201.70 4191 [hyper,4131,15] {-} convergent_lines(parallel_through_point(A,$c3),line_connecting($c1,$c2)).
% 201.37/201.70 4192 [binary,4191.1,16.1] {-} $F.
% 201.37/201.70
% 201.37/201.70 % SZS output end Refutation
% 201.37/201.70 ------------ end of proof -------------
% 201.37/201.70
% 201.37/201.70
% 201.37/201.70 Search stopped by max_proofs option.
% 201.37/201.70
% 201.37/201.70
% 201.37/201.70 Search stopped by max_proofs option.
% 201.37/201.70
% 201.37/201.70 ============ end of search ============
% 201.37/201.70
% 201.37/201.70 ----------- soft-scott stats ----------
% 201.37/201.70
% 201.37/201.70 true clauses given 53 (26.8%)
% 201.37/201.70 false clauses given 145
% 201.37/201.70
% 201.37/201.70 FALSE TRUE
% 201.37/201.70 6 0 16
% 201.37/201.70 7 0 11
% 201.37/201.70 8 93 32
% 201.37/201.70 9 256 110
% 201.37/201.70 10 227 10
% 201.37/201.70 11 183 126
% 201.37/201.70 12 26 72
% 201.37/201.70 13 14 31
% 201.37/201.70 14 13 54
% 201.37/201.70 15 226 83
% 201.37/201.70 16 36 50
% 201.37/201.70 17 44 31
% 201.37/201.70 18 667 13
% 201.37/201.70 19 240 44
% 201.37/201.70 20 270 0
% 201.37/201.70 21 41 0
% 201.37/201.70 22 160 0
% 201.37/201.70 23 16 0
% 201.37/201.70 24 1 0
% 201.37/201.70 25 0 3
% 201.37/201.70 tot: 2513 686 (21.4% true)
% 201.37/201.70
% 201.37/201.70
% 201.37/201.70 Model 13 [ 30 -17272 1043 ] (0.00 seconds, 250000 Inserts)
% 201.37/201.70
% 201.37/201.70 That finishes the proof of the theorem.
% 201.37/201.70
% 201.37/201.70 Process 25592 finished Sat Jun 18 04:04:46 2022
%------------------------------------------------------------------------------