TSTP Solution File: SWV006-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SWV006-1 : 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 21:36:42 EDT 2022

% Result   : Unsatisfiable 0.19s 0.45s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWV006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14  % Command  : sos-script %s
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jun 14 19:29:28 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.36  ----- Otter 3.2, August 2001 -----
% 0.14/0.36  The process was started by sandbox on n021.cluster.edu,
% 0.14/0.36  Tue Jun 14 19:29:28 2022
% 0.14/0.36  The command was "./sos".  The process ID is 7015.
% 0.14/0.36  
% 0.14/0.36  set(prolog_style_variables).
% 0.14/0.36  set(auto).
% 0.14/0.36     dependent: set(auto1).
% 0.14/0.36     dependent: set(process_input).
% 0.14/0.36     dependent: clear(print_kept).
% 0.14/0.36     dependent: clear(print_new_demod).
% 0.14/0.36     dependent: clear(print_back_demod).
% 0.14/0.36     dependent: clear(print_back_sub).
% 0.14/0.36     dependent: set(control_memory).
% 0.14/0.36     dependent: assign(max_mem, 12000).
% 0.14/0.36     dependent: assign(pick_given_ratio, 4).
% 0.14/0.36     dependent: assign(stats_level, 1).
% 0.14/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.36     dependent: assign(sos_limit, 5000).
% 0.14/0.36     dependent: assign(max_weight, 60).
% 0.14/0.36  clear(print_given).
% 0.14/0.36  
% 0.14/0.36  list(usable).
% 0.14/0.36  
% 0.14/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.14/0.36  
% 0.14/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.14/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.14/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.14/0.36  clauses in usable.
% 0.14/0.36  
% 0.14/0.36     dependent: set(knuth_bendix).
% 0.14/0.36     dependent: set(para_from).
% 0.14/0.36     dependent: set(para_into).
% 0.14/0.36     dependent: clear(para_from_right).
% 0.14/0.36     dependent: clear(para_into_right).
% 0.14/0.36     dependent: set(para_from_vars).
% 0.14/0.36     dependent: set(eq_units_both_ways).
% 0.14/0.36     dependent: set(dynamic_demod_all).
% 0.14/0.36     dependent: set(dynamic_demod).
% 0.14/0.36     dependent: set(order_eq).
% 0.14/0.36     dependent: set(back_demod).
% 0.14/0.36     dependent: set(lrpo).
% 0.14/0.36     dependent: set(hyper_res).
% 0.14/0.36     dependent: set(unit_deletion).
% 0.14/0.36     dependent: set(factor).
% 0.14/0.36  
% 0.14/0.36  ------------> process usable:
% 0.14/0.36  
% 0.14/0.36  ------------> process sos:
% 0.14/0.36    Following clause subsumed by 23 during input processing: 0 [copy,23,flip.1] {-} A=A.
% 0.14/0.36  
% 0.14/0.36  ======= end of input processing =======
% 0.14/0.39  
% 0.14/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.14/0.39  
% 0.14/0.39  Stopped by limit on number of solutions
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  -------------- Softie stats --------------
% 0.14/0.39  
% 0.14/0.39  UPDATE_STOP: 300
% 0.14/0.39  SFINDER_TIME_LIMIT: 2
% 0.14/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.14/0.39  number of clauses in intial UL: 12
% 0.14/0.39  number of clauses initially in problem: 23
% 0.14/0.39  percentage of clauses intially in UL: 52
% 0.14/0.39  percentage of distinct symbols occuring in initial UL: 100
% 0.14/0.39  percent of all initial clauses that are short: 100
% 0.14/0.39  absolute distinct symbol count: 9
% 0.14/0.39     distinct predicate count: 2
% 0.14/0.39     distinct function count: 3
% 0.14/0.39     distinct constant count: 4
% 0.14/0.39  
% 0.14/0.39  ---------- no more Softie stats ----------
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  Model 2 (0.00 seconds, 0 Inserts)
% 0.14/0.39  
% 0.14/0.39  Stopped by limit on number of solutions
% 0.14/0.39  
% 0.14/0.39  =========== start of search ===========
% 0.19/0.45  
% 0.19/0.45  -------- PROOF -------- 
% 0.19/0.45  % SZS status Unsatisfiable
% 0.19/0.45  % SZS output start Refutation
% 0.19/0.45  
% 0.19/0.45  Model 3 (0.00 seconds, 0 Inserts)
% 0.19/0.45  
% 0.19/0.45  Stopped by limit on number of solutions
% 0.19/0.45  
% 0.19/0.45  Model 4 [ 2 1 1085 ] (0.00 seconds, 1123 Inserts)
% 0.19/0.45  
% 0.19/0.45  Model 5 [ 3 0 45 ] (0.00 seconds, 1848 Inserts)
% 0.19/0.45  
% 0.19/0.45  Model 6 [ 3 0 2016 ] (0.00 seconds, 3799 Inserts)
% 0.19/0.45  
% 0.19/0.45  -----> EMPTY CLAUSE at   0.06 sec ----> 172 [factor,145.1.5,unit_del,4,44,22,4] {-} $F.
% 0.19/0.45  
% 0.19/0.45  Length of proof is 2.  Level of proof is 1.
% 0.19/0.45  
% 0.19/0.45  ---------------- PROOF ----------------
% 0.19/0.45  % SZS status Unsatisfiable
% 0.19/0.45  % SZS output start Refutation
% 0.19/0.45  
% 0.19/0.45  3 [] {+} less_than(A,B)| -less_than(A,C)| -less_than(C,B).
% 0.19/0.45  4 [] {+} -less_than(A,A).
% 0.19/0.45  10 [] {+} less_than(A,i)| -less_than(A,successor(n))| -less_than(a(A),a(m)).
% 0.19/0.45  18 [] {-} less_than(A,successor(A)).
% 0.19/0.45  19 [] {+} less_than(A,B)|less_than(B,A)|A=B.
% 0.19/0.45  21 [] {+} less_than(i,n).
% 0.19/0.45  22 [] {-} less_than(a(i),a(m)).
% 0.19/0.45  44 [hyper,21,3,18] {+} less_than(i,successor(n)).
% 0.19/0.45  145 [para_from,19.3.1,10.1.2] {-} less_than(A,B)| -less_than(A,successor(n))| -less_than(a(A),a(m))|less_than(i,B)|less_than(B,i).
% 0.19/0.45  172 [factor,145.1.5,unit_del,4,44,22,4] {-} $F.
% 0.19/0.45  
% 0.19/0.45  % SZS output end Refutation
% 0.19/0.45  ------------ end of proof -------------
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  Search stopped by max_proofs option.
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  Search stopped by max_proofs option.
% 0.19/0.45  
% 0.19/0.45  ============ end of search ============
% 0.19/0.45  
% 0.19/0.45  ----------- soft-scott stats ----------
% 0.19/0.45  
% 0.19/0.45  true clauses given           4      (36.4%)
% 0.19/0.45  false clauses given          7
% 0.19/0.45  
% 0.19/0.45        FALSE     TRUE
% 0.19/0.45     4  0         1
% 0.19/0.45     5  7         2
% 0.19/0.45     7  2         3
% 0.19/0.45     8  8         6
% 0.19/0.45     9  2         15
% 0.19/0.45    10  0         2
% 0.19/0.45    14  0         1
% 0.19/0.45  tot:  19        30      (61.2% true)
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  Model 6 [ 3 0 2016 ] (0.00 seconds, 3799 Inserts)
% 0.19/0.45  
% 0.19/0.45  That finishes the proof of the theorem.
% 0.19/0.45  
% 0.19/0.45  Process 7015 finished Tue Jun 14 19:29:28 2022
%------------------------------------------------------------------------------