TSTP Solution File: GRP188-2 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GRP188-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : Sat Jul 16 11:42:12 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : GRP188-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.09/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 13 04:37:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.35  ----- Otter 3.2, August 2001 -----
% 0.12/0.35  The process was started by sandbox on n021.cluster.edu,
% 0.12/0.35  Mon Jun 13 04:37:41 2022
% 0.12/0.35  The command was "./sos".  The process ID is 8987.
% 0.12/0.35  
% 0.12/0.35  set(prolog_style_variables).
% 0.12/0.35  set(auto).
% 0.12/0.35     dependent: set(auto1).
% 0.12/0.35     dependent: set(process_input).
% 0.12/0.35     dependent: clear(print_kept).
% 0.12/0.35     dependent: clear(print_new_demod).
% 0.12/0.35     dependent: clear(print_back_demod).
% 0.12/0.35     dependent: clear(print_back_sub).
% 0.12/0.35     dependent: set(control_memory).
% 0.12/0.35     dependent: assign(max_mem, 12000).
% 0.12/0.35     dependent: assign(pick_given_ratio, 4).
% 0.12/0.35     dependent: assign(stats_level, 1).
% 0.12/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35     dependent: assign(sos_limit, 5000).
% 0.12/0.35     dependent: assign(max_weight, 60).
% 0.12/0.35  clear(print_given).
% 0.12/0.35  
% 0.12/0.35  list(usable).
% 0.12/0.35  
% 0.12/0.35  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 0.12/0.35  
% 0.12/0.35  All clauses are units, and equality is present; the
% 0.12/0.35  strategy will be Knuth-Bendix with positive clauses in sos.
% 0.12/0.35  
% 0.12/0.35     dependent: set(knuth_bendix).
% 0.12/0.35     dependent: set(para_from).
% 0.12/0.35     dependent: set(para_into).
% 0.12/0.35     dependent: clear(para_from_right).
% 0.12/0.35     dependent: clear(para_into_right).
% 0.12/0.35     dependent: set(para_from_vars).
% 0.12/0.35     dependent: set(eq_units_both_ways).
% 0.12/0.35     dependent: set(dynamic_demod_all).
% 0.12/0.35     dependent: set(dynamic_demod).
% 0.12/0.35     dependent: set(order_eq).
% 0.12/0.35     dependent: set(back_demod).
% 0.12/0.35     dependent: set(lrpo).
% 0.12/0.35  
% 0.12/0.35  ------------> process usable:
% 0.12/0.35  
% 0.12/0.35  ------------> process sos:
% 0.12/0.35    Following clause subsumed by 8 during input processing: 0 [copy,8,flip.1] {-} greatest_lower_bound(A,B)=greatest_lower_bound(B,A).
% 0.12/0.35    Following clause subsumed by 9 during input processing: 0 [copy,9,flip.1] {-} least_upper_bound(A,B)=least_upper_bound(B,A).
% 0.12/0.35    Following clause subsumed by 38 during input processing: 0 [copy,38,flip.1] {-} A=A.
% 0.12/0.35  
% 0.12/0.35  ======= end of input processing =======
% 0.12/0.38  
% 0.12/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.38  
% 0.12/0.38  Stopped by limit on number of solutions
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  -------------- Softie stats --------------
% 0.12/0.38  
% 0.12/0.38  UPDATE_STOP: 300
% 0.12/0.38  SFINDER_TIME_LIMIT: 2
% 0.12/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.38  number of clauses in intial UL: 1
% 0.12/0.38  number of clauses initially in problem: 36
% 0.12/0.38  percentage of clauses intially in UL: 2
% 0.12/0.38  percentage of distinct symbols occuring in initial UL: 50
% 0.12/0.38  percent of all initial clauses that are short: 100
% 0.12/0.38  absolute distinct symbol count: 8
% 0.12/0.38     distinct predicate count: 1
% 0.12/0.38     distinct function count: 4
% 0.12/0.38     distinct constant count: 3
% 0.12/0.38  
% 0.12/0.38  ---------- no more Softie stats ----------
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  Model 2 (0.00 seconds, 0 Inserts)
% 0.12/0.38  
% 0.12/0.38  Stopped by limit on number of solutions
% 0.12/0.38  
% 0.12/0.38  =========== start of search ===========
% 0.18/0.51  
% 0.18/0.51  -------- PROOF -------- 
% 0.18/0.51  % SZS status Unsatisfiable
% 0.18/0.51  % SZS output start Refutation
% 0.18/0.51  
% 0.18/0.51  Model 3 (0.00 seconds, 0 Inserts)
% 0.18/0.51  
% 0.18/0.51  Stopped by limit on number of solutions
% 0.18/0.51  
% 0.18/0.51  Model 4 (0.00 seconds, 0 Inserts)
% 0.18/0.51  
% 0.18/0.51  Stopped by limit on number of solutions
% 0.18/0.51  
% 0.18/0.51  Model 5 (0.00 seconds, 0 Inserts)
% 0.18/0.51  
% 0.18/0.51  Stopped by limit on number of solutions
% 0.18/0.51  
% 0.18/0.51  Stopped by limit on insertions
% 0.18/0.51  
% 0.18/0.51  Model 6 [ 4 0 88 ] (0.00 seconds, 250000 Inserts)
% 0.18/0.51  
% 0.18/0.51  Stopped by limit on insertions
% 0.18/0.51  
% 0.18/0.51  Model 7 [ 1 1 71391 ] (0.00 seconds, 250000 Inserts)
% 0.18/0.51  
% 0.18/0.51  Model 8 (0.00 seconds, 250000 Inserts)
% 0.18/0.51  
% 0.18/0.51  Stopped by limit on number of solutions
% 0.18/0.51  
% 0.18/0.51  Model 9 (0.00 seconds, 250000 Inserts)
% 0.18/0.51  
% 0.18/0.51  Stopped by limit on number of solutions
% 0.18/0.51  
% 0.18/0.51  ----> UNIT CONFLICT at   0.14 sec ----> 42 [binary,41.1,38.1] {-} $F.
% 0.18/0.51  
% 0.18/0.51  Length of proof is 2.  Level of proof is 2.
% 0.18/0.51  
% 0.18/0.51  ---------------- PROOF ----------------
% 0.18/0.51  % SZS status Unsatisfiable
% 0.18/0.51  % SZS output start Refutation
% 0.18/0.51  
% 0.18/0.51  1 [] {+} least_upper_bound(b,least_upper_bound(a,b))!=least_upper_bound(a,b).
% 0.18/0.51  9 [] {+} least_upper_bound(A,B)=least_upper_bound(B,A).
% 0.18/0.51  13 [] {-} least_upper_bound(A,least_upper_bound(B,C))=least_upper_bound(least_upper_bound(A,B),C).
% 0.18/0.51  15,14 [copy,13,flip.1] {-} least_upper_bound(least_upper_bound(A,B),C)=least_upper_bound(A,least_upper_bound(B,C)).
% 0.18/0.51  17,16 [] {+} least_upper_bound(A,A)=A.
% 0.18/0.51  38 [] {+} A=A.
% 0.18/0.51  41 [para_from,9.1.1,1.1.1,demod,15,17] {-} least_upper_bound(a,b)!=least_upper_bound(a,b).
% 0.18/0.51  42 [binary,41.1,38.1] {-} $F.
% 0.18/0.51  
% 0.18/0.51  % SZS output end Refutation
% 0.18/0.51  ------------ end of proof -------------
% 0.18/0.51  
% 0.18/0.51  
% 0.18/0.51  Search stopped by max_proofs option.
% 0.18/0.51  
% 0.18/0.51  
% 0.18/0.51  Search stopped by max_proofs option.
% 0.18/0.51  
% 0.18/0.51  ============ end of search ============
% 0.18/0.51  
% 0.18/0.51  ----------- soft-scott stats ----------
% 0.18/0.51  
% 0.18/0.51  true clauses given           2      (20.0%)
% 0.18/0.51  false clauses given          8
% 0.18/0.51  
% 0.18/0.51        FALSE     TRUE
% 0.18/0.51     7  2         0
% 0.18/0.51    10  1         0
% 0.18/0.51    11  3         0
% 0.18/0.51    13  4         0
% 0.18/0.51  tot:  10        0      (0.0% true)
% 0.18/0.51  
% 0.18/0.51  
% 0.18/0.51  Model 9 (0.00 seconds, 250000 Inserts)
% 0.18/0.51  
% 0.18/0.51  That finishes the proof of the theorem.
% 0.18/0.51  
% 0.18/0.51  Process 8987 finished Mon Jun 13 04:37:42 2022
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