TSTP Solution File: SET080-7 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET080-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n023.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 : Tue Jul 19 05:15:28 EDT 2022

% Result   : Unsatisfiable 2.20s 2.39s
% Output   : Refutation 2.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET080-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12  % Command  : sos-script %s
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jul  9 23:05:10 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.36  ----- Otter 3.2, August 2001 -----
% 0.13/0.36  The process was started by sandbox on n023.cluster.edu,
% 0.13/0.36  Sat Jul  9 23:05:10 2022
% 0.13/0.36  The command was "./sos".  The process ID is 25089.
% 0.13/0.36  
% 0.13/0.36  set(prolog_style_variables).
% 0.13/0.36  set(auto).
% 0.13/0.36     dependent: set(auto1).
% 0.13/0.36     dependent: set(process_input).
% 0.13/0.36     dependent: clear(print_kept).
% 0.13/0.36     dependent: clear(print_new_demod).
% 0.13/0.36     dependent: clear(print_back_demod).
% 0.13/0.36     dependent: clear(print_back_sub).
% 0.13/0.36     dependent: set(control_memory).
% 0.13/0.36     dependent: assign(max_mem, 12000).
% 0.13/0.36     dependent: assign(pick_given_ratio, 4).
% 0.13/0.36     dependent: assign(stats_level, 1).
% 0.13/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36     dependent: assign(sos_limit, 5000).
% 0.13/0.36     dependent: assign(max_weight, 60).
% 0.13/0.36  clear(print_given).
% 0.13/0.36  
% 0.13/0.36  list(usable).
% 0.13/0.36  
% 0.13/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.36  
% 0.13/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.13/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.36  clauses in usable.
% 0.13/0.36  
% 0.13/0.36     dependent: set(knuth_bendix).
% 0.13/0.36     dependent: set(para_from).
% 0.13/0.36     dependent: set(para_into).
% 0.13/0.36     dependent: clear(para_from_right).
% 0.13/0.36     dependent: clear(para_into_right).
% 0.13/0.36     dependent: set(para_from_vars).
% 0.13/0.36     dependent: set(eq_units_both_ways).
% 0.13/0.36     dependent: set(dynamic_demod_all).
% 0.13/0.36     dependent: set(dynamic_demod).
% 0.13/0.36     dependent: set(order_eq).
% 0.13/0.36     dependent: set(back_demod).
% 0.13/0.36     dependent: set(lrpo).
% 0.13/0.36     dependent: set(hyper_res).
% 0.13/0.36     dependent: set(unit_deletion).
% 0.13/0.36     dependent: set(factor).
% 0.13/0.36  
% 0.13/0.36  ------------> process usable:
% 0.13/0.36  
% 0.13/0.36  ------------> process sos:
% 0.13/0.36    Following clause subsumed by 92 during input processing: 0 [demod,95] {-} member(unordered_pair(A,A),universal_class).
% 0.13/0.36    Following clause subsumed by 161 during input processing: 0 [copy,161,flip.1] {-} unordered_pair(A,B)=unordered_pair(B,A).
% 0.13/0.36    Following clause subsumed by 173 during input processing: 0 [copy,173,flip.1] {-} A=A.
% 0.13/0.36  173 back subsumes 88.
% 0.13/0.36  173 back subsumes 80.
% 0.13/0.36  
% 0.13/0.36  ======= end of input processing =======
% 0.60/0.78  
% 0.60/0.78  Model 1 (0.00 seconds, 0 Inserts)
% 0.60/0.78  
% 0.60/0.78  Stopped by limit on number of solutions
% 0.60/0.78  
% 0.60/0.78  
% 0.60/0.78  -------------- Softie stats --------------
% 0.60/0.78  
% 0.60/0.78  UPDATE_STOP: 300
% 0.60/0.78  SFINDER_TIME_LIMIT: 2
% 0.60/0.78  SHORT_CLAUSE_CUTOFF: 4
% 0.60/0.78  number of clauses in intial UL: 66
% 0.60/0.78  number of clauses initially in problem: 150
% 0.60/0.78  percentage of clauses intially in UL: 44
% 0.60/0.78  percentage of distinct symbols occuring in initial UL: 62
% 0.60/0.78  percent of all initial clauses that are short: 100
% 0.60/0.78  absolute distinct symbol count: 48
% 0.60/0.78     distinct predicate count: 10
% 0.60/0.78     distinct function count: 30
% 0.60/0.78     distinct constant count: 8
% 0.60/0.78  
% 0.60/0.78  ---------- no more Softie stats ----------
% 0.60/0.78  
% 0.60/0.78  
% 0.60/0.78  
% 0.60/0.78  Stopped by limit on insertions
% 0.60/0.78  
% 0.60/0.78  =========== start of search ===========
% 2.20/2.39  
% 2.20/2.39  -------- PROOF -------- 
% 2.20/2.39  % SZS status Unsatisfiable
% 2.20/2.39  % SZS output start Refutation
% 2.20/2.39  
% 2.20/2.39  Stopped by limit on insertions
% 2.20/2.39  
% 2.20/2.39  Stopped by limit on insertions
% 2.20/2.39  
% 2.20/2.39  Stopped by limit on insertions
% 2.20/2.39  
% 2.20/2.39  Stopped by limit on insertions
% 2.20/2.39  
% 2.20/2.39  Stopped by limit on insertions
% 2.20/2.39  
% 2.20/2.39  Stopped by limit on insertions
% 2.20/2.39  
% 2.20/2.39  Model 2 [ 6 3 35666 ] (0.00 seconds, 250000 Inserts)
% 2.20/2.39  
% 2.20/2.39  Stopped by limit on insertions
% 2.20/2.39  
% 2.20/2.39  ----> UNIT CONFLICT at   2.02 sec ----> 313 [binary,312.1,174.1] {+} $F.
% 2.20/2.39  
% 2.20/2.39  Length of proof is 3.  Level of proof is 2.
% 2.20/2.39  
% 2.20/2.39  ---------------- PROOF ----------------
% 2.20/2.39  % SZS status Unsatisfiable
% 2.20/2.39  % SZS output start Refutation
% 2.20/2.39  
% 2.20/2.39  8 [] {+} -member(A,universal_class)|member(A,unordered_pair(B,A)).
% 2.20/2.39  79 [] {-} -member(null_class,singleton(null_class)).
% 2.20/2.39  93 [] {-} unordered_pair(A,A)=singleton(A).
% 2.20/2.39  95,94 [copy,93,flip.1] {-} singleton(A)=unordered_pair(A,A).
% 2.20/2.39  160 [] {-} member(null_class,universal_class).
% 2.20/2.39  174 [back_demod,79,demod,95] {+} -member(null_class,unordered_pair(null_class,null_class)).
% 2.20/2.39  312 [hyper,160,8] {-} member(null_class,unordered_pair(A,null_class)).
% 2.20/2.39  313 [binary,312.1,174.1] {+} $F.
% 2.20/2.39  
% 2.20/2.39  % SZS output end Refutation
% 2.20/2.39  ------------ end of proof -------------
% 2.20/2.39  
% 2.20/2.39  
% 2.20/2.39  Search stopped by max_proofs option.
% 2.20/2.39  
% 2.20/2.39  
% 2.20/2.39  Search stopped by max_proofs option.
% 2.20/2.39  
% 2.20/2.39  ============ end of search ============
% 2.20/2.39  
% 2.20/2.39  ----------- soft-scott stats ----------
% 2.20/2.39  
% 2.20/2.39  true clauses given           0      (0.0%)
% 2.20/2.39  false clauses given          8
% 2.20/2.39  
% 2.20/2.39        FALSE     TRUE
% 2.20/2.39     3  1         3
% 2.20/2.39     5  0         11
% 2.20/2.39     6  1         3
% 2.20/2.39     7  3         9
% 2.20/2.39     8  8         17
% 2.20/2.39     9  7         1
% 2.20/2.39    10  8         8
% 2.20/2.39    11  4         11
% 2.20/2.39    12  2         8
% 2.20/2.39    13  6         10
% 2.20/2.39    14  3         2
% 2.20/2.39    15  0         5
% 2.20/2.39    16  3         4
% 2.20/2.39    17  1         7
% 2.20/2.39    18  0         2
% 2.20/2.39    19  0         4
% 2.20/2.39    20  0         2
% 2.20/2.39    21  0         1
% 2.20/2.39    22  1         1
% 2.20/2.39    23  1         0
% 2.20/2.39    24  1         3
% 2.20/2.39  tot:  50        112      (69.1% true)
% 2.20/2.39  
% 2.20/2.39  
% 2.20/2.39  Model 2 [ 6 -17 35666 ] (0.00 seconds, 250000 Inserts)
% 2.20/2.39  
% 2.20/2.39  That finishes the proof of the theorem.
% 2.20/2.39  
% 2.20/2.39  Process 25089 finished Sat Jul  9 23:05:12 2022
%------------------------------------------------------------------------------