%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO195+1 : TPTP v8.1.0. Released v3.3.0.
% 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 06:18:59 EDT 2022
% Result : Theorem 45.12s 45.32s
% Output : Refutation 45.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO195+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n026.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 05:56:54 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 n026.cluster.edu,
% 0.12/0.35 Sat Jun 18 05:56:54 2022
% 0.12/0.35 The command was "./sos". The process ID is 16579.
% 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 =======
% 0.18/0.38
% 0.18/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.38
% 0.18/0.38 Stopped by limit on number of solutions
% 0.18/0.38
% 0.18/0.38
% 0.18/0.38 -------------- Softie stats --------------
% 0.18/0.38
% 0.18/0.38 UPDATE_STOP: 300
% 0.18/0.38 SFINDER_TIME_LIMIT: 2
% 0.18/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.38 number of clauses in intial UL: 15
% 0.18/0.38 number of clauses initially in problem: 19
% 0.18/0.38 percentage of clauses intially in UL: 78
% 0.18/0.38 percentage of distinct symbols occuring in initial UL: 100
% 0.18/0.38 percent of all initial clauses that are short: 100
% 0.18/0.38 absolute distinct symbol count: 9
% 0.18/0.38 distinct predicate count: 4
% 0.18/0.38 distinct function count: 2
% 0.18/0.38 distinct constant count: 3
% 0.18/0.38
% 0.18/0.38 ---------- no more Softie stats ----------
% 0.18/0.38
% 0.18/0.38
% 0.18/0.38
% 0.18/0.38 Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.38
% 0.18/0.38 Stopped by limit on number of solutions
% 0.18/0.38
% 0.18/0.38 =========== start of search ===========
% 42.66/42.85
% 42.66/42.85
% 42.66/42.85 Changing weight limit from 60 to 42.
% 42.66/42.85
% 42.66/42.85 Model 3 (0.00 seconds, 0 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on number of solutions
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 4 [ 1 0 89 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 5 [ 1 0 63 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 6 [ 1 1 155 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 7 [ 2 0 121 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 8 [ 2 0 107 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 9 [ 2 1 126 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 10 [ 3 1 63 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 11 [ 3 0 72 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 12 [ 3 0 117 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 13 [ 4 0 124 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 14 [ 4 0 72 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 15 [ 4 1 3848 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 16 [ 5 1 125 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 17 [ 5 1 419 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 18 [ 6 0 63 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 19 [ 6 1 93 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 20 [ 6 1 5310 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 21 [ 7 0 145 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 22 [ 35 0 73 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 23 [ 37 0 77 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 24 [ 8 1 127 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 25 [ 8 1 85 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 26 [ 42 1 63 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 27 [ 8 0 164 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 28 [ 9 1 63 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 29 [ 9 0 100 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 30 [ 10 0 77 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 31 [ 10 0 68 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 32 [ 11 1 63 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 33 [ 10 0 80 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 34 [ 11 1 121 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 35 [ 11 1 67 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 36 [ 12 0 115 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 37 [ 58 0 75 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 38 [ 12 0 168 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 39 [ 59 0 76 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 40 [ 13 0 739 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 41 [ 14 0 64 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 42 [ 14 0 63 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Stopped by limit on insertions
% 42.66/42.85
% 42.66/42.85 Model 43 [ 15 0 157 ] (0.00 seconds, 250000 Inserts)
% 42.66/42.85
% 42.66/42.85 Resetting weight limit to 42 after 305 givens.
% 42.66/42.85
% 45.12/45.32
% 45.12/45.32 -- HEY sandbox2, WE HAVE A PROOF!! --
% 45.12/45.32
% 45.12/45.32 Stopped by limit on insertions
% 45.12/45.32
% 45.12/45.32 Model 44 [ 28 1 65 ] (0.00 seconds, 250000 Inserts)
% 45.12/45.32
% 45.12/45.32 ----> UNIT CONFLICT at 44.95 sec ----> 3427 [binary,3426.1,3.1] {-} $F.
% 45.12/45.32
% 45.12/45.32 Length of proof is 21. Level of proof is 10.
% 45.12/45.32
% 45.12/45.32 ---------------- PROOF ----------------
% 45.12/45.32 % SZS status Theorem
% 45.12/45.32 % SZS output start Refutation
% 45.12/45.32
% 45.12/45.32 3 [] {+} -convergent_lines(A,A).
% 45.12/45.32 6 [] {+} -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 45.12/45.32 9 [] {+} -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),A).
% 45.12/45.32 10 [] {+} -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),B).
% 45.12/45.32 11 [] {+} -distinct_points(A,B)| -distinct_lines(C,D)|apart_point_and_line(A,C)|apart_point_and_line(A,D)|apart_point_and_line(B,C)|apart_point_and_line(B,D).
% 45.12/45.32 12 [] {+} -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 45.12/45.32 14 [] {+} -convergent_lines(A,B)|distinct_lines(B,C)|convergent_lines(A,C).
% 45.12/45.32 15 [] {+} -apart_point_and_line(intersection_point($c2,$c3),$c1).
% 45.12/45.32 16 [] {+} convergent_lines($c3,$c2).
% 45.12/45.32 19 [] {-} apart_point_and_line(intersection_point($c3,$c2),$c1).
% 45.12/45.32 21 [hyper,16,6] {+} convergent_lines($c3,A)|convergent_lines($c2,A).
% 45.12/45.32 27 [hyper,19,12] {-} distinct_points(intersection_point($c3,$c2),A)|apart_point_and_line(A,$c1).
% 45.12/45.32 32 [hyper,21,6] {-} convergent_lines($c2,A)|convergent_lines($c3,B)|convergent_lines(A,B).
% 45.12/45.32 74 [hyper,32,3] {-} convergent_lines($c2,A)|convergent_lines(A,$c3).
% 45.12/45.32 76 [hyper,32,6] {-} convergent_lines($c2,A)|convergent_lines($c3,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 45.12/45.32 77 [factor,76.1.3,unit_del,3] {+} convergent_lines($c3,A)|convergent_lines(A,$c2).
% 45.12/45.32 79 [hyper,74,6] {-} convergent_lines(A,$c3)|convergent_lines($c2,B)|convergent_lines(A,B).
% 45.12/45.32 80 [hyper,74,14] {-} convergent_lines($c2,A)|distinct_lines($c3,B)|convergent_lines(A,B).
% 45.12/45.32 81 [factor,80.1.3,unit_del,3] {+} distinct_lines($c3,$c2).
% 45.12/45.32 85 [hyper,81,11,27] {-} apart_point_and_line(intersection_point($c3,$c2),$c3)|apart_point_and_line(intersection_point($c3,$c2),$c2)|apart_point_and_line(A,$c3)|apart_point_and_line(A,$c2)|apart_point_and_line(A,$c1).
% 45.12/45.32 88 [hyper,77,6] {-} convergent_lines(A,$c2)|convergent_lines($c3,B)|convergent_lines(A,B).
% 45.12/45.32 155 [hyper,79,6] {-} convergent_lines(A,$c3)|convergent_lines(A,B)|convergent_lines($c2,C)|convergent_lines(B,C).
% 45.12/45.32 175 [hyper,88,6] {-} convergent_lines(A,$c2)|convergent_lines(A,B)|convergent_lines($c3,C)|convergent_lines(B,C).
% 45.12/45.32 461 [hyper,76,6] {-} convergent_lines($c2,A)|convergent_lines($c3,B)|convergent_lines(B,C)|convergent_lines(A,D)|convergent_lines(C,D).
% 45.12/45.32 464 [factor,461.1.4,unit_del,3] {-} convergent_lines($c3,A)|convergent_lines(A,B)|convergent_lines(B,$c2).
% 45.12/45.32 545 [hyper,85,9,464,unit_del,3,3] {-} apart_point_and_line(intersection_point($c3,$c2),$c2)|apart_point_and_line(A,$c3)|apart_point_and_line(A,$c2)|apart_point_and_line(A,$c1).
% 45.12/45.32 871 [hyper,155,3] {-} convergent_lines(A,$c3)|convergent_lines(A,B)|convergent_lines(B,$c2).
% 45.12/45.32 928 [hyper,175,3] {-} convergent_lines(A,$c2)|convergent_lines(A,B)|convergent_lines(B,$c3).
% 45.12/45.32 3053 [hyper,545,10,871,unit_del,3,3] {-} apart_point_and_line(A,$c3)|apart_point_and_line(A,$c2)|apart_point_and_line(A,$c1).
% 45.12/45.32 3266 [hyper,3053,10,74,unit_del,15,3] {+} apart_point_and_line(intersection_point($c2,$c3),$c2).
% 45.12/45.32 3426 [hyper,3266,9,928,factor_simp] {-} convergent_lines(A,$c2).
% 45.12/45.32 3427 [binary,3426.1,3.1] {-} $F.
% 45.12/45.32
% 45.12/45.32 % SZS output end Refutation
% 45.12/45.32 ------------ end of proof -------------
% 45.12/45.32
% 45.12/45.32
% 45.12/45.32 Search stopped by max_proofs option.
% 45.12/45.32
% 45.12/45.32
% 45.12/45.32 Search stopped by max_proofs option.
% 45.12/45.32
% 45.12/45.32 ============ end of search ============
% 45.12/45.32
% 45.12/45.32 ----------- soft-scott stats ----------
% 45.12/45.32
% 45.12/45.32 true clauses given 52 (16.9%)
% 45.12/45.32 false clauses given 255
% 45.12/45.32
% 45.12/45.32 FALSE TRUE
% 45.12/45.32 5 0 1
% 45.12/45.32 10 8 0
% 45.12/45.32 12 6 84
% 45.12/45.32 13 22 2
% 45.12/45.32 14 4 0
% 45.12/45.32 15 158 68
% 45.12/45.32 16 36 4
% 45.12/45.32 17 8 0
% 45.12/45.32 19 34 4
% 45.12/45.32 22 6 0
% 45.12/45.32 23 29 0
% 45.12/45.32 25 74 0
% 45.12/45.32 26 196 0
% 45.12/45.32 28 293 0
% 45.12/45.32 29 478 0
% 45.12/45.32 31 372 0
% 45.12/45.32 32 379 0
% 45.12/45.32 33 11 0
% 45.12/45.32 34 247 0
% 45.12/45.32 36 45 0
% 45.12/45.32 39 60 0
% 45.12/45.32 41 3 0
% 45.12/45.32 42 4 0
% 45.12/45.32 tot: 2473 163 (6.2% true)
% 45.12/45.32
% 45.12/45.32
% 45.12/45.32 Model 44 [ 28 1 65 ] (0.00 seconds, 250000 Inserts)
% 45.12/45.32
% 45.12/45.32 That finishes the proof of the theorem.
% 45.12/45.32
% 45.12/45.32 Process 16579 finished Sat Jun 18 05:57:39 2022
%------------------------------------------------------------------------------