TSTP Solution File: GEO222+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO222+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n004.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 06:19:22 EDT 2022
% Result : Theorem 3.01s 3.24s
% Output : Refutation 3.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO222+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n004.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 : Fri Jun 17 20:56:23 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 sandbox on n004.cluster.edu,
% 0.12/0.36 Fri Jun 17 20:56:23 2022
% 0.12/0.36 The command was "./sos". The process ID is 5893.
% 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=0, symmetry=0, max_lits=6.
% 0.12/0.36
% 0.12/0.36 This is a non-Horn set without equality. The strategy
% 0.12/0.36 will be ordered hyper_res, ur_res, unit deletion, and
% 0.12/0.36 factoring, with satellites in sos and nuclei in usable.
% 0.12/0.36
% 0.12/0.36 dependent: set(hyper_res).
% 0.12/0.36 dependent: set(factor).
% 0.12/0.36 dependent: set(unit_deletion).
% 0.12/0.36
% 0.12/0.36 ------------> process usable:
% 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
% 0.12/0.36 ------------> process sos:
% 0.12/0.36
% 0.12/0.36 ======= end of input processing =======
% 0.12/0.39
% 0.12/0.39 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.39
% 0.12/0.39 Stopped by limit on number of solutions
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39 -------------- Softie stats --------------
% 0.12/0.39
% 0.12/0.39 UPDATE_STOP: 300
% 0.12/0.39 SFINDER_TIME_LIMIT: 2
% 0.12/0.39 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.39 number of clauses in intial UL: 23
% 0.12/0.39 number of clauses initially in problem: 25
% 0.12/0.39 percentage of clauses intially in UL: 92
% 0.12/0.39 percentage of distinct symbols occuring in initial UL: 81
% 0.12/0.39 percent of all initial clauses that are short: 100
% 0.12/0.39 absolute distinct symbol count: 11
% 0.12/0.39 distinct predicate count: 5
% 0.12/0.39 distinct function count: 4
% 0.12/0.39 distinct constant count: 2
% 0.12/0.39
% 0.12/0.39 ---------- no more Softie stats ----------
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39 Model 2 (0.00 seconds, 0 Inserts)
% 0.12/0.39
% 0.12/0.39 Stopped by limit on number of solutions
% 0.12/0.39
% 0.12/0.39 =========== start of search ===========
% 3.01/3.24
% 3.01/3.24 -------- PROOF --------
% 3.01/3.24 % SZS status Theorem
% 3.01/3.24 % SZS output start Refutation
% 3.01/3.24
% 3.01/3.24 Model 3 (0.00 seconds, 0 Inserts)
% 3.01/3.24
% 3.01/3.24 Stopped by limit on number of solutions
% 3.01/3.24
% 3.01/3.24 ----> UNIT CONFLICT at 2.85 sec ----> 1613 [binary,1612.1,15.1] {-} $F.
% 3.01/3.24
% 3.01/3.24 Length of proof is 17. Level of proof is 8.
% 3.01/3.24
% 3.01/3.24 ---------------- PROOF ----------------
% 3.01/3.24 % SZS status Theorem
% 3.01/3.24 % SZS output start Refutation
% 3.01/3.24
% 3.01/3.24 3 [] {+} -convergent_lines(A,A).
% 3.01/3.24 6 [] {+} -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 3.01/3.24 9 [] {+} -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),A).
% 3.01/3.24 10 [] {+} -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),B).
% 3.01/3.24 14 [] {+} -convergent_lines(A,B)|distinct_lines(B,C)|convergent_lines(A,C).
% 3.01/3.24 15 [] {+} -convergent_lines(parallel_through_point(A,B),A).
% 3.01/3.24 18 [] {+} -convergent_lines(A,B)| -unorthogonal_lines(A,B)|convergent_lines(A,C)|unorthogonal_lines(B,C).
% 3.01/3.24 21 [] {+} -unorthogonal_lines(orthogonal_through_point(A,B),A).
% 3.01/3.24 23 [] {+} -distinct_lines(A,B)|apart_point_and_line(C,A)|apart_point_and_line(C,B)|unorthogonal_lines(A,D)|unorthogonal_lines(B,D).
% 3.01/3.24 24 [] {+} convergent_lines(A,B)|unorthogonal_lines(A,B).
% 3.01/3.24 25 [] {-} convergent_lines($c1,orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2)).
% 3.01/3.24 26 [hyper,24,21] {+} convergent_lines(orthogonal_through_point(A,B),A).
% 3.01/3.24 27 [hyper,25,14] {-} distinct_lines(orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2),A)|convergent_lines($c1,A).
% 3.01/3.24 28 [hyper,25,6] {-} convergent_lines($c1,A)|convergent_lines(orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2),A).
% 3.01/3.24 29 [hyper,27,23] {-} convergent_lines($c1,A)|apart_point_and_line(B,orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2))|apart_point_and_line(B,A)|unorthogonal_lines(orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2),C)|unorthogonal_lines(A,C).
% 3.01/3.24 32 [hyper,28,6] {-} convergent_lines(orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2),A)|convergent_lines($c1,B)|convergent_lines(A,B).
% 3.01/3.24 37 [hyper,26,6] {+} convergent_lines(orthogonal_through_point(A,B),C)|convergent_lines(A,C).
% 3.01/3.24 38 [hyper,29,21] {-} convergent_lines($c1,A)|apart_point_and_line(B,orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2))|apart_point_and_line(B,A)|unorthogonal_lines(A,orthogonal_through_point($c1,$c2)).
% 3.01/3.24 76 [hyper,37,6] {+} convergent_lines(A,B)|convergent_lines(orthogonal_through_point(A,C),D)|convergent_lines(B,D).
% 3.01/3.24 102 [hyper,32,3] {-} convergent_lines(orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2),A)|convergent_lines(A,$c1).
% 3.01/3.24 124 [hyper,102,6] {-} convergent_lines(A,$c1)|convergent_lines(orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2),B)|convergent_lines(A,B).
% 3.01/3.24 777 [hyper,124,3] {-} convergent_lines(A,$c1)|convergent_lines(A,orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2)).
% 3.01/3.24 778 [hyper,124,15] {-} convergent_lines(parallel_through_point(A,B),$c1)|convergent_lines(orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2),A).
% 3.01/3.24 1134 [hyper,76,3] {+} convergent_lines(A,B)|convergent_lines(B,orthogonal_through_point(A,C)).
% 3.01/3.24 1431 [hyper,1134,18,38,factor_simp] {-} convergent_lines($c1,A)|convergent_lines(A,B)|unorthogonal_lines(orthogonal_through_point($c1,$c2),B)|apart_point_and_line(C,orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2))|apart_point_and_line(C,A).
% 3.01/3.24 1485 [factor,1431.1.2,unit_del,3,21] {-} apart_point_and_line(A,orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2))|apart_point_and_line(A,$c1).
% 3.01/3.24 1543 [hyper,1485,9,777,unit_del,3] {-} apart_point_and_line(intersection_point(orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2),$c1),$c1).
% 3.01/3.24 1612 [hyper,1543,10,778] {-} convergent_lines(parallel_through_point($c1,A),$c1).
% 3.01/3.24 1613 [binary,1612.1,15.1] {-} $F.
% 3.01/3.24
% 3.01/3.24 % SZS output end Refutation
% 3.01/3.24 ------------ end of proof -------------
% 3.01/3.24
% 3.01/3.24
% 3.01/3.24 Search stopped by max_proofs option.
% 3.01/3.24
% 3.01/3.24
% 3.01/3.24 Search stopped by max_proofs option.
% 3.01/3.24
% 3.01/3.24 ============ end of search ============
% 3.01/3.24
% 3.01/3.24 ----------- soft-scott stats ----------
% 3.01/3.24
% 3.01/3.24 true clauses given 29 (32.2%)
% 3.01/3.24 false clauses given 61
% 3.01/3.24
% 3.01/3.24 FALSE TRUE
% 3.01/3.24 6 0 2
% 3.01/3.24 7 0 1
% 3.01/3.24 8 0 2
% 3.01/3.24 9 0 1
% 3.01/3.24 10 0 1
% 3.01/3.24 11 1 11
% 3.01/3.24 12 3 4
% 3.01/3.24 13 1 13
% 3.01/3.24 14 5 18
% 3.01/3.24 15 27 4
% 3.01/3.24 16 35 13
% 3.01/3.24 17 2 10
% 3.01/3.24 18 19 6
% 3.01/3.24 19 5 11
% 3.01/3.24 20 0 7
% 3.01/3.24 21 6 7
% 3.01/3.24 22 10 6
% 3.01/3.24 23 1 7
% 3.01/3.24 24 1 1
% 3.01/3.24 25 2 4
% 3.01/3.24 26 4 11
% 3.01/3.24 27 1 0
% 3.01/3.24 28 1 3
% 3.01/3.24 29 1 22
% 3.01/3.24 30 3 14
% 3.01/3.24 31 7 32
% 3.01/3.24 32 3 45
% 3.01/3.24 33 5 43
% 3.01/3.24 34 8 74
% 3.01/3.24 35 9 39
% 3.01/3.24 36 5 56
% 3.01/3.24 37 4 90
% 3.01/3.24 38 11 52
% 3.01/3.24 39 5 41
% 3.01/3.24 40 2 40
% 3.01/3.24 41 2 43
% 3.01/3.24 42 2 6
% 3.01/3.24 43 0 7
% 3.01/3.24 44 2 55
% 3.01/3.24 45 0 9
% 3.01/3.24 47 0 25
% 3.01/3.24 48 0 4
% 3.01/3.24 50 0 18
% 3.01/3.24 51 2 1
% 3.01/3.24 53 0 1
% 3.01/3.24 tot: 195 860 (81.5% true)
% 3.01/3.24
% 3.01/3.24
% 3.01/3.24 Model 3 (0.00 seconds, 0 Inserts)
% 3.01/3.24
% 3.01/3.24 That finishes the proof of the theorem.
% 3.01/3.24
% 3.01/3.24 Process 5893 finished Fri Jun 17 20:56:26 2022
%------------------------------------------------------------------------------