TSTP Solution File: SET947+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET947+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n018.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 05:22:02 EDT 2022

% Result   : Theorem 0.38s 0.56s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET947+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 01:18:13 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  ----- Otter 3.2, August 2001 -----
% 0.13/0.36  The process was started by sandbox on n018.cluster.edu,
% 0.13/0.36  Mon Jul 11 01:18:13 2022
% 0.13/0.36  The command was "./sos".  The process ID is 17000.
% 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  formula_list(usable).
% 0.13/0.36  
% 0.13/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 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 15 during input processing: 0 [copy,15,flip.1] {-} A=A.
% 0.13/0.36  
% 0.13/0.36  ======= end of input processing =======
% 0.13/0.38  
% 0.13/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.38  
% 0.13/0.38  Stopped by limit on number of solutions
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  -------------- Softie stats --------------
% 0.13/0.38  
% 0.13/0.38  UPDATE_STOP: 300
% 0.13/0.38  SFINDER_TIME_LIMIT: 2
% 0.13/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.38  number of clauses in intial UL: 10
% 0.13/0.38  number of clauses initially in problem: 15
% 0.13/0.38  percentage of clauses intially in UL: 66
% 0.13/0.38  percentage of distinct symbols occuring in initial UL: 90
% 0.13/0.38  percent of all initial clauses that are short: 100
% 0.13/0.38  absolute distinct symbol count: 11
% 0.13/0.38     distinct predicate count: 4
% 0.13/0.38     distinct function count: 4
% 0.13/0.38     distinct constant count: 3
% 0.13/0.38  
% 0.13/0.38  ---------- no more Softie stats ----------
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  =========== start of search ===========
% 0.38/0.56  
% 0.38/0.56  -------- PROOF -------- 
% 0.38/0.56  % SZS status Theorem
% 0.38/0.56  % SZS output start Refutation
% 0.38/0.56  
% 0.38/0.56  Model 2 [ 9 0 73 ] (0.00 seconds, 1121 Inserts)
% 0.38/0.56  
% 0.38/0.56  ----> UNIT CONFLICT at   0.19 sec ----> 706 [binary,705.1,9.1] {-} $F.
% 0.38/0.56  
% 0.38/0.56  Length of proof is 4.  Level of proof is 4.
% 0.38/0.56  
% 0.38/0.56  ---------------- PROOF ----------------
% 0.38/0.56  % SZS status Theorem
% 0.38/0.56  % SZS output start Refutation
% 0.38/0.56  
% 0.38/0.56  3 [] {+} A!=powerset(B)|in(C,A)| -subset(C,B).
% 0.38/0.56  6 [] {+} subset(A,B)| -in($f2(A,B),B).
% 0.38/0.56  7 [] {+} -in(A,B)|subset(A,union(B)).
% 0.38/0.56  9 [] {+} -subset($c3,powerset(union($c3))).
% 0.38/0.56  12 [] {-} subset(A,B)|in($f2(A,B),A).
% 0.38/0.56  15 [] {+} A=A.
% 0.38/0.56  29 [hyper,12,9] {-} in($f2($c3,powerset(union($c3))),$c3).
% 0.38/0.56  32 [hyper,29,7] {-} subset($f2($c3,powerset(union($c3))),union($c3)).
% 0.38/0.57  162 [hyper,32,3,15] {-} in($f2($c3,powerset(union($c3))),powerset(union($c3))).
% 0.38/0.57  705 [hyper,162,6] {-} subset($c3,powerset(union($c3))).
% 0.38/0.57  706 [binary,705.1,9.1] {-} $F.
% 0.38/0.57  
% 0.38/0.57  % SZS output end Refutation
% 0.38/0.57  ------------ end of proof -------------
% 0.38/0.57  
% 0.38/0.57  
% 0.38/0.57  Search stopped by max_proofs option.
% 0.38/0.57  
% 0.38/0.57  
% 0.38/0.57  Search stopped by max_proofs option.
% 0.38/0.57  
% 0.38/0.57  ============ end of search ============
% 0.38/0.57  
% 0.38/0.57  ----------- soft-scott stats ----------
% 0.38/0.57  
% 0.38/0.57  true clauses given           3      (11.1%)
% 0.38/0.57  false clauses given         24
% 0.38/0.57  
% 0.38/0.57        FALSE     TRUE
% 0.38/0.57     8  0         1
% 0.38/0.57     9  6         1
% 0.38/0.57    10  10        1
% 0.38/0.57    11  5         2
% 0.38/0.57    12  11        0
% 0.38/0.57    13  10        2
% 0.38/0.57    14  1         3
% 0.38/0.57    15  4         0
% 0.38/0.57    16  1         2
% 0.38/0.57    17  7         0
% 0.38/0.57    18  8         7
% 0.38/0.57    19  11        3
% 0.38/0.57    20  16        5
% 0.38/0.57    21  17        1
% 0.38/0.57    22  11        2
% 0.38/0.57    23  19        2
% 0.38/0.57    24  10        2
% 0.38/0.57    25  10        0
% 0.38/0.57    26  5         1
% 0.38/0.57    27  12        1
% 0.38/0.57    28  7         6
% 0.38/0.57    29  11        1
% 0.38/0.57    30  4         0
% 0.38/0.57    31  2         8
% 0.38/0.57    33  7         6
% 0.38/0.57    34  12        6
% 0.38/0.57    35  11        11
% 0.38/0.57    36  13        0
% 0.38/0.57    37  22        4
% 0.38/0.57    38  23        5
% 0.38/0.57    39  12        10
% 0.38/0.57    40  15        0
% 0.38/0.57    41  8         4
% 0.38/0.57    42  36        4
% 0.38/0.57    43  9         7
% 0.38/0.57    44  39        5
% 0.38/0.57    45  14        0
% 0.38/0.57    46  20        0
% 0.38/0.57    48  17        7
% 0.38/0.57    49  10        4
% 0.38/0.57    50  20        4
% 0.38/0.57    51  0         4
% 0.38/0.57    54  20        2
% 0.38/0.57    55  3         1
% 0.38/0.57    59  13        3
% 0.38/0.57    60  1         3
% 0.38/0.57  tot:  523       141      (21.2% true)
% 0.38/0.57  
% 0.38/0.57  
% 0.38/0.57  Model 2 [ 9 0 73 ] (0.00 seconds, 1121 Inserts)
% 0.38/0.57  
% 0.38/0.57  That finishes the proof of the theorem.
% 0.38/0.57  
% 0.38/0.57  Process 17000 finished Mon Jul 11 01:18:13 2022
%------------------------------------------------------------------------------