TSTP Solution File: GEO222+3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO222+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n017.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 1.46s 1.67s
% Output   : Refutation 1.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO222+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n017.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 10:19:12 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 n017.cluster.edu,
% 0.12/0.36  Sat Jun 18 10:19:12 2022
% 0.12/0.36  The command was "./sos".  The process ID is 31450.
% 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 =======
% 0.19/0.41  
% 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: 43
% 0.19/0.41  percentage of clauses intially in UL: 86
% 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: 18
% 0.19/0.41     distinct predicate count: 12
% 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 ===========
% 1.46/1.67  
% 1.46/1.67  -------- PROOF -------- 
% 1.46/1.67  % SZS status Theorem
% 1.46/1.67  % SZS output start Refutation
% 1.46/1.67  
% 1.46/1.67  Stopped by limit on insertions
% 1.46/1.67  
% 1.46/1.67  Model 3 [ 3 1 611 ] (0.00 seconds, 250000 Inserts)
% 1.46/1.67  
% 1.46/1.67  Model 4 (0.00 seconds, 250000 Inserts)
% 1.46/1.67  
% 1.46/1.67  Stopped by limit on number of solutions
% 1.46/1.67  
% 1.46/1.67  Stopped by limit on insertions
% 1.46/1.67  
% 1.46/1.67  Model 5 [ 12 1 566 ] (0.00 seconds, 250000 Inserts)
% 1.46/1.67  
% 1.46/1.67  Stopped by limit on insertions
% 1.46/1.67  
% 1.46/1.67  Stopped by limit on insertions
% 1.46/1.67  
% 1.46/1.67  Stopped by limit on insertions
% 1.46/1.67  
% 1.46/1.67  Model 6 [ 13 0 669 ] (0.00 seconds, 250000 Inserts)
% 1.46/1.67  
% 1.46/1.67  Stopped by limit on insertions
% 1.46/1.67  
% 1.46/1.67  Stopped by limit on insertions
% 1.46/1.67  
% 1.46/1.67  Stopped by limit on insertions
% 1.46/1.67  
% 1.46/1.67  Model 7 [ 1 5 156689 ] (0.00 seconds, 250000 Inserts)
% 1.46/1.67  
% 1.46/1.67  Stopped by limit on insertions
% 1.46/1.67  
% 1.46/1.67  Model 8 [ 13 1 31838 ] (0.00 seconds, 250000 Inserts)
% 1.46/1.67  
% 1.46/1.67  Stopped by limit on insertions
% 1.46/1.67  
% 1.46/1.67  Stopped by limit on insertions
% 1.46/1.67  
% 1.46/1.67  Model 9 [ 16 2 15350 ] (0.00 seconds, 250000 Inserts)
% 1.46/1.67  
% 1.46/1.67  ----> UNIT CONFLICT at   1.28 sec ----> 262 [binary,261.1,3.1] {-} $F.
% 1.46/1.67  
% 1.46/1.67  Length of proof is 8.  Level of proof is 6.
% 1.46/1.67  
% 1.46/1.67  ---------------- PROOF ----------------
% 1.46/1.67  % SZS status Theorem
% 1.46/1.67  % SZS output start Refutation
% 1.46/1.67  
% 1.46/1.67  3 [] {+} -convergent_lines(A,A).
% 1.46/1.67  6 [] {+} -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.46/1.67  20 [] {+} -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|unorthogonal_lines(B,C).
% 1.46/1.67  21 [] {+} -unorthogonal_lines(orthogonal_through_point(A,B),A).
% 1.46/1.67  26 [] {+} unorthogonal_lines(A,B)|convergent_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 1.46/1.67  28 [] {+} unorthogonal_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C).
% 1.46/1.67  38 [] {+} -parallel_lines($c1,orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2)).
% 1.46/1.67  39 [] {+} convergent_lines(A,B)|unorthogonal_lines(A,B).
% 1.46/1.67  42 [] {-} parallel_lines(A,B)|convergent_lines(A,B).
% 1.46/1.67  45 [hyper,39,21] {+} convergent_lines(orthogonal_through_point(A,B),A).
% 1.46/1.67  64 [hyper,45,28] {-} unorthogonal_lines(A,orthogonal_through_point(B,C))|unorthogonal_lines(A,B).
% 1.46/1.67  66 [hyper,45,6] {+} convergent_lines(orthogonal_through_point(A,B),C)|convergent_lines(A,C).
% 1.46/1.67  87 [hyper,42,38] {-} convergent_lines($c1,orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2)).
% 1.46/1.67  118 [hyper,64,20,87] {-} unorthogonal_lines($c1,orthogonal_through_point($c1,$c2))|unorthogonal_lines($c1,A)|unorthogonal_lines(orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2),A).
% 1.46/1.67  128 [factor,118.1.2,unit_del,21] {+} unorthogonal_lines($c1,orthogonal_through_point($c1,$c2)).
% 1.46/1.67  219 [hyper,66,26,128] {-} convergent_lines(orthogonal_through_point($c1,A),orthogonal_through_point($c1,$c2))|unorthogonal_lines(B,$c1)|convergent_lines(B,orthogonal_through_point($c1,$c2)).
% 1.46/1.67  261 [factor,219.1.3,unit_del,21] {-} convergent_lines(orthogonal_through_point($c1,A),orthogonal_through_point($c1,$c2)).
% 1.46/1.67  262 [binary,261.1,3.1] {-} $F.
% 1.46/1.67  
% 1.46/1.67  % SZS output end Refutation
% 1.46/1.67  ------------ end of proof -------------
% 1.46/1.67  
% 1.46/1.67  
% 1.46/1.67  Search stopped by max_proofs option.
% 1.46/1.67  
% 1.46/1.67  
% 1.46/1.67  Search stopped by max_proofs option.
% 1.46/1.67  
% 1.46/1.67  ============ end of search ============
% 1.46/1.67  
% 1.46/1.67  ----------- soft-scott stats ----------
% 1.46/1.67  
% 1.46/1.67  true clauses given           5      (26.3%)
% 1.46/1.67  false clauses given         14
% 1.46/1.67  
% 1.46/1.67        FALSE     TRUE
% 1.46/1.67     5  1         0
% 1.46/1.67     8  12        9
% 1.46/1.67     9  2         0
% 1.46/1.67    10  31        11
% 1.46/1.67    11  4         15
% 1.46/1.67    13  15        8
% 1.46/1.67    14  1         3
% 1.46/1.67    17  2         5
% 1.46/1.67    19  2         3
% 1.46/1.67    22  1         0
% 1.46/1.67    25  1         0
% 1.46/1.67  tot:  72        54      (42.9% true)
% 1.46/1.67  
% 1.46/1.67  
% 1.46/1.67  Model 9 [ 16 2 15350 ] (0.00 seconds, 250000 Inserts)
% 1.46/1.67  
% 1.46/1.67  That finishes the proof of the theorem.
% 1.46/1.67  
% 1.46/1.67  Process 31450 finished Sat Jun 18 10:19:14 2022
%------------------------------------------------------------------------------