TSTP Solution File: SWV007-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SWV007-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n021.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 : Wed Jul 20 21:36:43 EDT 2022

% Result   : Unsatisfiable 6.70s 6.87s
% Output   : Refutation 6.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SWV007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14  % Command  : sos-script %s
% 0.15/0.36  % Computer : n021.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Wed Jun 15 09:51:13 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.38  ----- Otter 3.2, August 2001 -----
% 0.22/0.38  The process was started by sandbox on n021.cluster.edu,
% 0.22/0.38  Wed Jun 15 09:51:13 2022
% 0.22/0.38  The command was "./sos".  The process ID is 32435.
% 0.22/0.38  
% 0.22/0.38  set(prolog_style_variables).
% 0.22/0.38  set(auto).
% 0.22/0.38     dependent: set(auto1).
% 0.22/0.38     dependent: set(process_input).
% 0.22/0.38     dependent: clear(print_kept).
% 0.22/0.38     dependent: clear(print_new_demod).
% 0.22/0.38     dependent: clear(print_back_demod).
% 0.22/0.38     dependent: clear(print_back_sub).
% 0.22/0.38     dependent: set(control_memory).
% 0.22/0.38     dependent: assign(max_mem, 12000).
% 0.22/0.38     dependent: assign(pick_given_ratio, 4).
% 0.22/0.38     dependent: assign(stats_level, 1).
% 0.22/0.38     dependent: assign(pick_semantic_ratio, 3).
% 0.22/0.38     dependent: assign(sos_limit, 5000).
% 0.22/0.38     dependent: assign(max_weight, 60).
% 0.22/0.38  clear(print_given).
% 0.22/0.38  
% 0.22/0.38  list(usable).
% 0.22/0.38  
% 0.22/0.38  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.22/0.38  
% 0.22/0.38  This ia a non-Horn set with equality.  The strategy will be
% 0.22/0.38  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.22/0.38  unit deletion, with positive clauses in sos and nonpositive
% 0.22/0.38  clauses in usable.
% 0.22/0.38  
% 0.22/0.38     dependent: set(knuth_bendix).
% 0.22/0.38     dependent: set(para_from).
% 0.22/0.38     dependent: set(para_into).
% 0.22/0.38     dependent: clear(para_from_right).
% 0.22/0.38     dependent: clear(para_into_right).
% 0.22/0.38     dependent: set(para_from_vars).
% 0.22/0.38     dependent: set(eq_units_both_ways).
% 0.22/0.38     dependent: set(dynamic_demod_all).
% 0.22/0.38     dependent: set(dynamic_demod).
% 0.22/0.38     dependent: set(order_eq).
% 0.22/0.38     dependent: set(back_demod).
% 0.22/0.38     dependent: set(lrpo).
% 0.22/0.38     dependent: set(hyper_res).
% 0.22/0.38     dependent: set(unit_deletion).
% 0.22/0.38     dependent: set(factor).
% 0.22/0.38  
% 0.22/0.38  ------------> process usable:
% 0.22/0.38  
% 0.22/0.38  ------------> process sos:
% 0.22/0.38    Following clause subsumed by 27 during input processing: 0 [copy,27,flip.1] {-} A=A.
% 0.22/0.38  
% 0.22/0.38  ======= end of input processing =======
% 0.22/0.42  
% 0.22/0.42  Model 1 (0.00 seconds, 0 Inserts)
% 0.22/0.42  
% 0.22/0.42  Stopped by limit on number of solutions
% 0.22/0.42  
% 0.22/0.42  
% 0.22/0.42  -------------- Softie stats --------------
% 0.22/0.42  
% 0.22/0.42  UPDATE_STOP: 300
% 0.22/0.42  SFINDER_TIME_LIMIT: 2
% 0.22/0.42  SHORT_CLAUSE_CUTOFF: 4
% 0.22/0.42  number of clauses in intial UL: 15
% 0.22/0.42  number of clauses initially in problem: 26
% 0.22/0.42  percentage of clauses intially in UL: 57
% 0.22/0.42  percentage of distinct symbols occuring in initial UL: 100
% 0.22/0.42  percent of all initial clauses that are short: 100
% 0.22/0.42  absolute distinct symbol count: 10
% 0.22/0.42     distinct predicate count: 2
% 0.22/0.42     distinct function count: 3
% 0.22/0.42     distinct constant count: 5
% 0.22/0.42  
% 0.22/0.42  ---------- no more Softie stats ----------
% 0.22/0.42  
% 0.22/0.42  
% 0.22/0.42  
% 0.22/0.42  Model 2 (0.00 seconds, 0 Inserts)
% 0.22/0.42  
% 0.22/0.42  Stopped by limit on number of solutions
% 0.22/0.42  
% 0.22/0.42  =========== start of search ===========
% 2.12/2.34  
% 2.12/2.34  
% 2.12/2.34  Changing weight limit from 60 to 35.
% 2.12/2.34  
% 2.12/2.34  Model 3 (0.00 seconds, 0 Inserts)
% 2.12/2.34  
% 2.12/2.34  Stopped by limit on number of solutions
% 2.12/2.34  
% 2.12/2.34  Model 4 [ 2 1 63 ] (0.00 seconds, 95 Inserts)
% 2.12/2.34  
% 2.12/2.34  Model 5 [ 3 1 2039 ] (0.00 seconds, 4680 Inserts)
% 2.12/2.34  
% 2.12/2.34  Model 6 [ 3 1 1565 ] (0.00 seconds, 3767 Inserts)
% 2.12/2.34  
% 2.12/2.34  Model 7 [ 4 1 501 ] (0.00 seconds, 2760 Inserts)
% 2.12/2.34  
% 2.12/2.34  Resetting weight limit to 35 after 215 givens.
% 2.12/2.34  
% 2.72/2.94  
% 2.72/2.94  
% 2.72/2.94  Changing weight limit from 35 to 28.
% 2.72/2.94  
% 2.72/2.94  Resetting weight limit to 28 after 220 givens.
% 2.72/2.94  
% 2.87/3.06  
% 2.87/3.06  
% 2.87/3.06  Changing weight limit from 28 to 27.
% 2.87/3.06  
% 2.87/3.06  Resetting weight limit to 27 after 225 givens.
% 2.87/3.06  
% 2.97/3.17  
% 2.97/3.17  
% 2.97/3.17  Changing weight limit from 27 to 26.
% 2.97/3.17  
% 2.97/3.17  Resetting weight limit to 26 after 230 givens.
% 2.97/3.17  
% 3.99/4.20  
% 3.99/4.20  
% 3.99/4.20  Changing weight limit from 26 to 25.
% 3.99/4.20  
% 3.99/4.20  Resetting weight limit to 25 after 260 givens.
% 3.99/4.20  
% 4.38/4.60  
% 4.38/4.60  
% 4.38/4.60  Changing weight limit from 25 to 24.
% 4.38/4.60  
% 4.38/4.60  Resetting weight limit to 24 after 270 givens.
% 4.38/4.60  
% 4.91/5.11  
% 4.91/5.11  
% 4.91/5.11  Changing weight limit from 24 to 23.
% 4.91/5.11  
% 4.91/5.11  Resetting weight limit to 23 after 280 givens.
% 4.91/5.11  
% 5.11/5.31  
% 5.11/5.31  
% 5.11/5.31  Changing weight limit from 23 to 22.
% 5.11/5.31  
% 5.11/5.31  Resetting weight limit to 22 after 285 givens.
% 5.11/5.31  
% 5.52/5.72  
% 5.52/5.72  
% 5.52/5.72  Changing weight limit from 22 to 21.
% 5.52/5.72  
% 5.52/5.72  Model 8 [ 67 1 110 ] (0.00 seconds, 28781 Inserts)
% 5.52/5.72  
% 5.52/5.72  Resetting weight limit to 21 after 290 givens.
% 5.52/5.72  
% 6.70/6.87  
% 6.70/6.87  -------- PROOF -------- 
% 6.70/6.87  % SZS status Unsatisfiable
% 6.70/6.87  % SZS output start Refutation
% 6.70/6.87  
% 6.70/6.87  Model 9 [ 70 1 117 ] (0.00 seconds, 11230 Inserts)
% 6.70/6.87  
% 6.70/6.87  Model 10 [ 57 1 15032 ] (0.00 seconds, 20500 Inserts)
% 6.70/6.87  
% 6.70/6.87  ----> UNIT CONFLICT at   6.44 sec ----> 10329 [binary,10328.1,10022.1] {-} $F.
% 6.70/6.87  
% 6.70/6.87  Length of proof is 9.  Level of proof is 6.
% 6.70/6.87  
% 6.70/6.87  ---------------- PROOF ----------------
% 6.70/6.87  % SZS status Unsatisfiable
% 6.70/6.87  % SZS output start Refutation
% 6.70/6.87  
% 6.70/6.87  1 [] {+} A=B|predecessor(A)!=predecessor(B).
% 6.70/6.87  2 [] {+} A=B|successor(A)!=successor(B).
% 6.70/6.87  3 [] {+} less_than(A,B)| -less_than(A,C)| -less_than(C,B).
% 6.70/6.87  5 [] {+} -less_than(A,B)| -less_than(B,A).
% 6.70/6.87  10 [] {+} -less_than(n,m).
% 6.70/6.87  16 [] {+} less_than(A,i)| -less_than(A,successor(n))| -less_than(a(A),a(k)).
% 6.70/6.87  18,17 [] {+} predecessor(successor(A))=A.
% 6.70/6.87  22 [] {-} less_than(A,successor(A)).
% 6.70/6.87  23 [] {+} less_than(A,B)|less_than(B,A)|A=B.
% 6.70/6.87  25 [] {+} less_than(i,m).
% 6.70/6.87  26 [] {-} less_than(a(m),a(k)).
% 6.70/6.87  29 [para_into,17.1.1.1,1.1.1,demod,18] {+} predecessor(A)=B|B!=predecessor(A).
% 6.70/6.87  104 [hyper,23,3,22] {+} less_than(A,successor(B))|successor(B)=A|less_than(B,A).
% 6.70/6.87  355 [para_into,29.1.1,17.1.1,demod,18] {+} A=B|B!=A.
% 6.70/6.87  3153 [para_from,355.1.1,10.1.2] {+} -less_than(n,A)|A!=m.
% 6.70/6.87  6271 [para_into,3153.1.1,2.1.1] {+} -less_than(A,B)|B!=m|successor(n)!=successor(A).
% 6.70/6.87  8666 [hyper,104,16,26,unit_del,10] {-} successor(n)=m|less_than(m,i).
% 6.70/6.87  10023,10022 [hyper,8666,5,25] {-} successor(n)=m.
% 6.70/6.87  10138 [back_demod,6271,demod,10023,flip.3] {-} -less_than(A,B)|B!=m|successor(A)!=m.
% 6.70/6.87  10328 [factor,10138.2.3,unit_del,22] {-} successor(A)!=m.
% 6.70/6.87  10329 [binary,10328.1,10022.1] {-} $F.
% 6.70/6.87  
% 6.70/6.87  % SZS output end Refutation
% 6.70/6.87  ------------ end of proof -------------
% 6.70/6.87  
% 6.70/6.87  
% 6.70/6.87  Search stopped by max_proofs option.
% 6.70/6.87  
% 6.70/6.87  
% 6.70/6.87  Search stopped by max_proofs option.
% 6.70/6.87  
% 6.70/6.87  ============ end of search ============
% 6.70/6.87  
% 6.70/6.87  ----------- soft-scott stats ----------
% 6.70/6.87  
% 6.70/6.87  true clauses given         110      (36.7%)
% 6.70/6.87  false clauses given        190
% 6.70/6.87  
% 6.70/6.87        FALSE     TRUE
% 6.70/6.87     6  0         5
% 6.70/6.87     7  1         64
% 6.70/6.87     8  1         93
% 6.70/6.87     9  124       235
% 6.70/6.87    10  285       152
% 6.70/6.87    11  881       443
% 6.70/6.87    12  302       345
% 6.70/6.87    13  849       346
% 6.70/6.87    14  0         180
% 6.70/6.87    15  0         124
% 6.70/6.87    16  0         54
% 6.70/6.87    17  0         54
% 6.70/6.87    18  0         17
% 6.70/6.87    19  0         11
% 6.70/6.87    20  0         17
% 6.70/6.87    21  0         20
% 6.70/6.87  tot:  2443      2160      (46.9% true)
% 6.70/6.87  
% 6.70/6.87  
% 6.70/6.87  Model 10 [ 57 1 15032 ] (0.00 seconds, 20500 Inserts)
% 6.70/6.87  
% 6.70/6.87  That finishes the proof of the theorem.
% 6.70/6.87  
% 6.70/6.87  Process 32435 finished Wed Jun 15 09:51:20 2022
%------------------------------------------------------------------------------