TSTP Solution File: SET080-6 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET080-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n009.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 05:15:27 EDT 2022

% Result   : Unsatisfiable 1.93s 2.17s
% Output   : Refutation 1.93s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SET080-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13  % Command  : sos-script %s
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jul 10 11:24:37 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.38  ----- Otter 3.2, August 2001 -----
% 0.13/0.38  The process was started by sandbox on n009.cluster.edu,
% 0.13/0.38  Sun Jul 10 11:24:37 2022
% 0.13/0.38  The command was "./sos".  The process ID is 1123.
% 0.13/0.38  
% 0.13/0.38  set(prolog_style_variables).
% 0.13/0.38  set(auto).
% 0.13/0.38     dependent: set(auto1).
% 0.13/0.38     dependent: set(process_input).
% 0.13/0.38     dependent: clear(print_kept).
% 0.13/0.38     dependent: clear(print_new_demod).
% 0.13/0.38     dependent: clear(print_back_demod).
% 0.13/0.38     dependent: clear(print_back_sub).
% 0.13/0.38     dependent: set(control_memory).
% 0.13/0.38     dependent: assign(max_mem, 12000).
% 0.13/0.38     dependent: assign(pick_given_ratio, 4).
% 0.13/0.38     dependent: assign(stats_level, 1).
% 0.13/0.38     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.38     dependent: assign(sos_limit, 5000).
% 0.13/0.38     dependent: assign(max_weight, 60).
% 0.13/0.38  clear(print_given).
% 0.13/0.38  
% 0.13/0.38  list(usable).
% 0.13/0.38  
% 0.13/0.38  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.38  
% 0.13/0.38  This ia a non-Horn set with equality.  The strategy will be
% 0.13/0.38  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.38  unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.38  clauses in usable.
% 0.13/0.38  
% 0.13/0.38     dependent: set(knuth_bendix).
% 0.13/0.38     dependent: set(para_from).
% 0.13/0.38     dependent: set(para_into).
% 0.13/0.38     dependent: clear(para_from_right).
% 0.13/0.38     dependent: clear(para_into_right).
% 0.13/0.38     dependent: set(para_from_vars).
% 0.13/0.38     dependent: set(eq_units_both_ways).
% 0.13/0.38     dependent: set(dynamic_demod_all).
% 0.13/0.38     dependent: set(dynamic_demod).
% 0.13/0.38     dependent: set(order_eq).
% 0.13/0.38     dependent: set(back_demod).
% 0.13/0.38     dependent: set(lrpo).
% 0.13/0.38     dependent: set(hyper_res).
% 0.13/0.38     dependent: set(unit_deletion).
% 0.13/0.38     dependent: set(factor).
% 0.13/0.38  
% 0.13/0.38  ------------> process usable:
% 0.13/0.38  
% 0.13/0.38  ------------> process sos:
% 0.13/0.38    Following clause subsumed by 135 during input processing: 0 [copy,135,flip.1] {-} A=A.
% 0.13/0.38  135 back subsumes 61.
% 0.13/0.38  
% 0.13/0.38  ======= end of input processing =======
% 0.58/0.79  
% 0.58/0.79  Model 1 (0.00 seconds, 0 Inserts)
% 0.58/0.79  
% 0.58/0.79  Stopped by limit on number of solutions
% 0.58/0.79  
% 0.58/0.79  
% 0.58/0.79  -------------- Softie stats --------------
% 0.58/0.79  
% 0.58/0.79  UPDATE_STOP: 300
% 0.58/0.79  SFINDER_TIME_LIMIT: 2
% 0.58/0.79  SHORT_CLAUSE_CUTOFF: 4
% 0.58/0.79  number of clauses in intial UL: 48
% 0.58/0.79  number of clauses initially in problem: 119
% 0.58/0.79  percentage of clauses intially in UL: 40
% 0.58/0.79  percentage of distinct symbols occuring in initial UL: 62
% 0.58/0.79  percent of all initial clauses that are short: 100
% 0.58/0.79  absolute distinct symbol count: 48
% 0.58/0.79     distinct predicate count: 10
% 0.58/0.79     distinct function count: 30
% 0.58/0.79     distinct constant count: 8
% 0.58/0.79  
% 0.58/0.79  ---------- no more Softie stats ----------
% 0.58/0.79  
% 0.58/0.79  
% 0.58/0.79  
% 0.58/0.79  Stopped by limit on insertions
% 0.58/0.79  
% 0.58/0.79  =========== start of search ===========
% 1.93/2.17  
% 1.93/2.17  -------- PROOF -------- 
% 1.93/2.17  % SZS status Unsatisfiable
% 1.93/2.17  % SZS output start Refutation
% 1.93/2.17  
% 1.93/2.17  Stopped by limit on insertions
% 1.93/2.17  
% 1.93/2.17  Model 2 [ 1 1 3074 ] (0.00 seconds, 250000 Inserts)
% 1.93/2.17  
% 1.93/2.17  Stopped by limit on insertions
% 1.93/2.17  
% 1.93/2.17  Stopped by limit on insertions
% 1.93/2.17  
% 1.93/2.17  Stopped by limit on insertions
% 1.93/2.17  
% 1.93/2.17  Stopped by limit on insertions
% 1.93/2.17  
% 1.93/2.17  Stopped by limit on insertions
% 1.93/2.17  
% 1.93/2.17  Model 3 [ 14 0 2065 ] (0.00 seconds, 250000 Inserts)
% 1.93/2.17  
% 1.93/2.17  Stopped by limit on insertions
% 1.93/2.17  
% 1.93/2.17  Stopped by limit on insertions
% 1.93/2.17  
% 1.93/2.17  Model 4 [ 9 2 31911 ] (0.00 seconds, 250000 Inserts)
% 1.93/2.17  
% 1.93/2.17  ----> UNIT CONFLICT at   1.77 sec ----> 273 [binary,272.1,136.1] {-} $F.
% 1.93/2.17  
% 1.93/2.17  Length of proof is 5.  Level of proof is 3.
% 1.93/2.17  
% 1.93/2.17  ---------------- PROOF ----------------
% 1.93/2.17  % SZS status Unsatisfiable
% 1.93/2.17  % SZS output start Refutation
% 1.93/2.17  
% 1.93/2.17  1 [] {+} -subclass(A,B)| -member(C,A)|member(C,B).
% 1.93/2.17  8 [] {+} -member(A,universal_class)|member(A,unordered_pair(B,A)).
% 1.93/2.17  28 [] {+} -inductive(A)|member(null_class,A).
% 1.93/2.17  60 [] {-} -member(null_class,singleton(null_class)).
% 1.93/2.17  70 [] {-} subclass(A,universal_class).
% 1.93/2.17  72 [] {-} unordered_pair(A,A)=singleton(A).
% 1.93/2.17  74,73 [copy,72,flip.1] {-} singleton(A)=unordered_pair(A,A).
% 1.93/2.17  109 [] {+} inductive(omega).
% 1.93/2.17  136 [back_demod,60,demod,74] {-} -member(null_class,unordered_pair(null_class,null_class)).
% 1.93/2.17  163 [hyper,109,28] {-} member(null_class,omega).
% 1.93/2.17  248 [hyper,163,1,70] {+} member(null_class,universal_class).
% 1.93/2.17  272 [hyper,248,8] {-} member(null_class,unordered_pair(A,null_class)).
% 1.93/2.17  273 [binary,272.1,136.1] {-} $F.
% 1.93/2.17  
% 1.93/2.17  % SZS output end Refutation
% 1.93/2.17  ------------ end of proof -------------
% 1.93/2.17  
% 1.93/2.17  
% 1.93/2.17  Search stopped by max_proofs option.
% 1.93/2.17  
% 1.93/2.17  
% 1.93/2.17  Search stopped by max_proofs option.
% 1.93/2.17  
% 1.93/2.17  ============ end of search ============
% 1.93/2.17  
% 1.93/2.17  ----------- soft-scott stats ----------
% 1.93/2.17  
% 1.93/2.17  true clauses given           0      (0.0%)
% 1.93/2.17  false clauses given          9
% 1.93/2.17  
% 1.93/2.17        FALSE     TRUE
% 1.93/2.17     3  0         2
% 1.93/2.17     5  6         3
% 1.93/2.17     6  3         0
% 1.93/2.17     7  9         3
% 1.93/2.17     8  14        10
% 1.93/2.17     9  10        2
% 1.93/2.17    10  6         12
% 1.93/2.17    11  2         16
% 1.93/2.17    12  2         2
% 1.93/2.17    13  5         14
% 1.93/2.17    14  4         2
% 1.93/2.17    15  0         5
% 1.93/2.17    16  2         1
% 1.93/2.17    17  1         1
% 1.93/2.17    18  0         2
% 1.93/2.17    19  0         1
% 1.93/2.17    20  0         1
% 1.93/2.17    22  1         0
% 1.93/2.17    23  1         0
% 1.93/2.17    24  0         1
% 1.93/2.17  tot:  66        78      (54.2% true)
% 1.93/2.17  
% 1.93/2.17  
% 1.93/2.17  Model 4 [ 9 2 31911 ] (0.00 seconds, 250000 Inserts)
% 1.93/2.17  
% 1.93/2.17  That finishes the proof of the theorem.
% 1.93/2.17  
% 1.93/2.17  Process 1123 finished Sun Jul 10 11:24:39 2022
%------------------------------------------------------------------------------