↑ Up

SOS---2.0.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO260+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n011.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 06:19:44 EDT 2022

% Result   : Theorem 0.83s 1.03s
% Output   : Refutation 0.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO260+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n011.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 14:05:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.36  ----- Otter 3.2, August 2001 -----
% 0.19/0.36  The process was started by sandbox on n011.cluster.edu,
% 0.19/0.36  Sat Jun 18 14:05:08 2022
% 0.19/0.36  The command was "./sos".  The process ID is 28288.
% 0.19/0.36  
% 0.19/0.36  set(prolog_style_variables).
% 0.19/0.36  set(auto).
% 0.19/0.36     dependent: set(auto1).
% 0.19/0.36     dependent: set(process_input).
% 0.19/0.36     dependent: clear(print_kept).
% 0.19/0.36     dependent: clear(print_new_demod).
% 0.19/0.36     dependent: clear(print_back_demod).
% 0.19/0.36     dependent: clear(print_back_sub).
% 0.19/0.36     dependent: set(control_memory).
% 0.19/0.36     dependent: assign(max_mem, 12000).
% 0.19/0.36     dependent: assign(pick_given_ratio, 4).
% 0.19/0.36     dependent: assign(stats_level, 1).
% 0.19/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.36     dependent: assign(sos_limit, 5000).
% 0.19/0.36     dependent: assign(max_weight, 60).
% 0.19/0.36  clear(print_given).
% 0.19/0.36  
% 0.19/0.36  formula_list(usable).
% 0.19/0.36  
% 0.19/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 0.19/0.36  
% 0.19/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.19/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.36  clauses in usable.
% 0.19/0.36  
% 0.19/0.36     dependent: set(knuth_bendix).
% 0.19/0.36     dependent: set(para_from).
% 0.19/0.36     dependent: set(para_into).
% 0.19/0.36     dependent: clear(para_from_right).
% 0.19/0.36     dependent: clear(para_into_right).
% 0.19/0.36     dependent: set(para_from_vars).
% 0.19/0.36     dependent: set(eq_units_both_ways).
% 0.19/0.36     dependent: set(dynamic_demod_all).
% 0.19/0.36     dependent: set(dynamic_demod).
% 0.19/0.36     dependent: set(order_eq).
% 0.19/0.36     dependent: set(back_demod).
% 0.19/0.36     dependent: set(lrpo).
% 0.19/0.36     dependent: set(hyper_res).
% 0.19/0.36     dependent: set(unit_deletion).
% 0.19/0.36     dependent: set(factor).
% 0.19/0.36  
% 0.19/0.36  ------------> process usable:
% 0.19/0.36    Following clause subsumed by 36 during input processing: 0 [] {-} -unequally_directed_lines(A,B)| -unequally_directed_lines(A,reverse_line(B))|unequally_directed_lines(A,C)|unequally_directed_lines(B,C).
% 0.19/0.36    Following clause subsumed by 36 during input processing: 0 [] {-} -unequally_directed_lines(A,B)| -unequally_directed_lines(A,reverse_line(B))|unequally_directed_lines(A,reverse_line(C))|unequally_directed_lines(B,reverse_line(C)).
% 0.19/0.36    Following clause subsumed by 40 during input processing: 0 [] {-} -left_apart_point(A,reverse_line(B)).
% 0.19/0.36    Following clause subsumed by 41 during input processing: 0 [] {-} -left_convergent_lines(A,reverse_line(B)).
% 0.19/0.36    Following clause subsumed by 40 during input processing: 0 [unit_del,40,41] {-} -distinct_points(A,B)| -left_apart_point(A,C).
% 0.19/0.36    Following clause subsumed by 40 during input processing: 0 [unit_del,40] {-} -left_apart_point(A,B)|distinct_points(A,C).
% 0.19/0.36    Following clause subsumed by 40 during input processing: 0 [unit_del,40] {-} -left_apart_point(A,B)| -unequally_directed_lines(B,C)|distinct_lines(B,C).
% 0.19/0.36    Following clause subsumed by 41 during input processing: 0 [unit_del,41] {-} -left_convergent_lines(A,B)|unequally_directed_lines(B,C).
% 0.19/0.36  40 back subsumes 20.
% 0.19/0.36  40 back subsumes 19.
% 0.19/0.36  40 back subsumes 10.
% 0.19/0.36  40 back subsumes 4.
% 0.19/0.36  41 back subsumes 6.
% 0.19/0.36  
% 0.19/0.36  ------------> process sos:
% 0.19/0.36    Following clause subsumed by 66 during input processing: 0 [copy,66,flip.1] {-} equally_directed_lines(A,A).
% 0.19/0.36  72 back subsumes 49.
% 0.19/0.36  72 back subsumes 48.
% 0.19/0.36  72 back subsumes 47.
% 0.19/0.36  72 back subsumes 46.
% 0.19/0.36  72 back subsumes 9.
% 0.19/0.36  
% 0.19/0.36  ======= 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: 49
% 0.19/0.41  number of clauses initially in problem: 58
% 0.19/0.41  percentage of clauses intially in UL: 84
% 0.19/0.41  percentage of distinct symbols occuring in initial UL: 80
% 0.19/0.41  percent of all initial clauses that are short: 100
% 0.19/0.41  absolute distinct symbol count: 26
% 0.19/0.41     distinct predicate count: 18
% 0.19/0.41     distinct function count: 4
% 0.19/0.41     distinct constant count: 4
% 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 ===========
% 0.83/1.03  
% 0.83/1.03  -------- PROOF -------- 
% 0.83/1.03  % SZS status Theorem
% 0.83/1.03  % SZS output start Refutation
% 0.83/1.03  
% 0.83/1.03  Model 3 (0.00 seconds, 0 Inserts)
% 0.83/1.03  
% 0.83/1.03  Stopped by limit on number of solutions
% 0.83/1.03  
% 0.83/1.03  Model 4 (0.00 seconds, 0 Inserts)
% 0.83/1.03  
% 0.83/1.03  Stopped by limit on number of solutions
% 0.83/1.03  
% 0.83/1.03  Stopped by limit on insertions
% 0.83/1.03  
% 0.83/1.03  Model 5 (0.00 seconds, 0 Inserts)
% 0.83/1.03  
% 0.83/1.03  Stopped by limit on number of solutions
% 0.83/1.03  
% 0.83/1.03  Model 6 [ 4 2 9380 ] (0.00 seconds, 10196 Inserts)
% 0.83/1.03  
% 0.83/1.03  Model 7 [ 9 1 4752 ] (0.00 seconds, 5771 Inserts)
% 0.83/1.03  
% 0.83/1.03  Stopped by limit on insertions
% 0.83/1.03  
% 0.83/1.03  Model 8 [ 8 1 4836 ] (0.00 seconds, 250000 Inserts)
% 0.83/1.03  
% 0.83/1.03  Stopped by limit on insertions
% 0.83/1.03  
% 0.83/1.03  -----> EMPTY CLAUSE at   0.65 sec ----> 405 [hyper,390,39,211,demod,403,403,403,403,403,unit_del,41,41] {-} $F.
% 0.83/1.03  
% 0.83/1.03  Length of proof is 12.  Level of proof is 7.
% 0.83/1.03  
% 0.83/1.03  ---------------- PROOF ----------------
% 0.83/1.03  % SZS status Theorem
% 0.83/1.03  % SZS output start Refutation
% 0.83/1.03  
% 0.83/1.03  1 [] {+} -unequally_directed_opposite_lines(A,B)|unequally_directed_lines(A,reverse_line(B)).
% 0.83/1.03  7 [] {+} -equally_directed_lines(A,B)| -unequally_directed_lines(A,B).
% 0.83/1.03  13 [] {+} -convergent_lines(A,B)|unequally_directed_opposite_lines(A,B).
% 0.83/1.03  14 [] {+} convergent_lines(A,B)| -unequally_directed_lines(A,B)| -unequally_directed_opposite_lines(A,B).
% 0.83/1.03  36 [] {+} -unequally_directed_lines(A,B)|unequally_directed_lines(A,C)|unequally_directed_lines(B,C).
% 0.83/1.03  39 [] {+} -unequally_directed_lines(A,B)| -unequally_directed_lines(A,reverse_line(B))|left_convergent_lines(A,B)|left_convergent_lines(A,reverse_line(B)).
% 0.83/1.03  41 [] {+} -left_convergent_lines(A,B).
% 0.83/1.03  62 [factor,36.2.3] {+} -unequally_directed_lines(A,A)|unequally_directed_lines(A,B).
% 0.83/1.03  64 [] {+} equally_directed_lines(A,B)|unequally_directed_lines(A,B).
% 0.83/1.03  65 [] {-} equally_directed_opposite_lines(A,B)|unequally_directed_opposite_lines(A,B).
% 0.83/1.03  67 [] {+} unequally_directed_lines(A,B)|unequally_directed_lines(A,reverse_line(B)).
% 0.83/1.03  69,68 [] {+} equally_directed_lines(parallel_through_point(A,B),A).
% 0.83/1.03  74 [hyper,64,36] {+} equally_directed_lines(A,B)|unequally_directed_lines(A,C)|unequally_directed_lines(B,C).
% 0.83/1.03  97 [para_into,68.1.1,64.1.1,demod,69] {+} equally_directed_lines(A,B)|unequally_directed_lines(B,A).
% 0.83/1.03  117 [para_from,65.1.1,68.1.1,demod,69] {+} equally_directed_lines(A,B)|unequally_directed_opposite_lines(B,A).
% 0.83/1.03  183 [hyper,97,14,117,factor_simp] {-} equally_directed_lines(A,B)|convergent_lines(B,A).
% 0.83/1.03  211 [hyper,67,62,factor_simp] {+} unequally_directed_lines(A,reverse_line(A)).
% 0.83/1.03  300 [hyper,183,7,211] {-} convergent_lines(reverse_line(A),A).
% 0.83/1.03  332 [hyper,300,13] {-} unequally_directed_opposite_lines(reverse_line(A),A).
% 0.83/1.03  386 [para_from,74.1.1,1.2.2] {+} -unequally_directed_opposite_lines(A,B)|unequally_directed_lines(A,C)|unequally_directed_lines(reverse_line(B),D)|unequally_directed_lines(C,D).
% 0.83/1.03  389 [factor,386.2.3,unit_del,332] {-} unequally_directed_lines(reverse_line(A),B)|unequally_directed_lines(B,B).
% 0.83/1.03  390 [factor,389.1.2] {-} unequally_directed_lines(reverse_line(A),reverse_line(A)).
% 0.83/1.03  403,402 [hyper,390,39,97,unit_del,41,41,flip.1] {-} equally_directed_lines(reverse_line(A),A).
% 0.83/1.03  405 [hyper,390,39,211,demod,403,403,403,403,403,unit_del,41,41] {-} $F.
% 0.83/1.03  
% 0.83/1.03  % SZS output end Refutation
% 0.83/1.03  ------------ end of proof -------------
% 0.83/1.03  
% 0.83/1.03  
% 0.83/1.03  Search stopped by max_proofs option.
% 0.83/1.03  
% 0.83/1.03  
% 0.83/1.03  Search stopped by max_proofs option.
% 0.83/1.03  
% 0.83/1.03  ============ end of search ============
% 0.83/1.03  
% 0.83/1.03  ----------- soft-scott stats ----------
% 0.83/1.03  
% 0.83/1.03  true clauses given           5      (26.3%)
% 0.83/1.03  false clauses given         14
% 0.83/1.03  
% 0.83/1.03        FALSE     TRUE
% 0.83/1.03     4  0         1
% 0.83/1.03     5  0         1
% 0.83/1.03     6  1         1
% 0.83/1.03     7  20        27
% 0.83/1.03     8  51        16
% 0.83/1.03     9  18        6
% 0.83/1.03    10  14        27
% 0.83/1.03    11  8         24
% 0.83/1.03    12  0         7
% 0.83/1.03    13  0         14
% 0.83/1.03    14  0         16
% 0.83/1.03    15  0         6
% 0.83/1.03    16  0         5
% 0.83/1.03    17  0         13
% 0.83/1.03    18  0         9
% 0.83/1.03    19  0         2
% 0.83/1.03    20  0         2
% 0.83/1.03    21  0         1
% 0.83/1.03  tot:  112       178      (61.4% true)
% 0.83/1.03  
% 0.83/1.03  
% 0.83/1.03  Model 8 [ 8 -34 4836 ] (0.00 seconds, 250000 Inserts)
% 0.83/1.03  
% 0.83/1.03  That finishes the proof of the theorem.
% 0.83/1.03  
% 0.83/1.03  Process 28288 finished Sat Jun 18 14:05:08 2022
%------------------------------------------------------------------------------