TSTP Solution File: SET941+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET941+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n020.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 05:22:00 EDT 2022

% Result   : Theorem 0.42s 0.61s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SET941+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n020.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 : Sat Jul  9 19:14:13 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.35  ----- Otter 3.2, August 2001 -----
% 0.19/0.35  The process was started by sandbox on n020.cluster.edu,
% 0.19/0.35  Sat Jul  9 19:14:13 2022
% 0.19/0.35  The command was "./sos".  The process ID is 28024.
% 0.19/0.35  
% 0.19/0.35  set(prolog_style_variables).
% 0.19/0.35  set(auto).
% 0.19/0.35     dependent: set(auto1).
% 0.19/0.35     dependent: set(process_input).
% 0.19/0.35     dependent: clear(print_kept).
% 0.19/0.35     dependent: clear(print_new_demod).
% 0.19/0.35     dependent: clear(print_back_demod).
% 0.19/0.35     dependent: clear(print_back_sub).
% 0.19/0.35     dependent: set(control_memory).
% 0.19/0.35     dependent: assign(max_mem, 12000).
% 0.19/0.35     dependent: assign(pick_given_ratio, 4).
% 0.19/0.35     dependent: assign(stats_level, 1).
% 0.19/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.35     dependent: assign(sos_limit, 5000).
% 0.19/0.35     dependent: assign(max_weight, 60).
% 0.19/0.35  clear(print_given).
% 0.19/0.35  
% 0.19/0.35  formula_list(usable).
% 0.19/0.35  
% 0.19/0.35  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.19/0.35  
% 0.19/0.35  This ia a non-Horn set with equality.  The strategy will be
% 0.19/0.35  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.35  unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.35  clauses in usable.
% 0.19/0.35  
% 0.19/0.35     dependent: set(knuth_bendix).
% 0.19/0.35     dependent: set(para_from).
% 0.19/0.35     dependent: set(para_into).
% 0.19/0.35     dependent: clear(para_from_right).
% 0.19/0.35     dependent: clear(para_into_right).
% 0.19/0.35     dependent: set(para_from_vars).
% 0.19/0.35     dependent: set(eq_units_both_ways).
% 0.19/0.35     dependent: set(dynamic_demod_all).
% 0.19/0.35     dependent: set(dynamic_demod).
% 0.19/0.35     dependent: set(order_eq).
% 0.19/0.35     dependent: set(back_demod).
% 0.19/0.35     dependent: set(lrpo).
% 0.19/0.35     dependent: set(hyper_res).
% 0.19/0.35     dependent: set(unit_deletion).
% 0.19/0.35     dependent: set(factor).
% 0.19/0.35  
% 0.19/0.35  ------------> process usable:
% 0.19/0.35  
% 0.19/0.35  ------------> process sos:
% 0.19/0.35    Following clause subsumed by 18 during input processing: 0 [copy,18,flip.1] {-} A=A.
% 0.19/0.35  
% 0.19/0.35  ======= end of input processing =======
% 0.19/0.39  
% 0.19/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.39  
% 0.19/0.39  Stopped by limit on number of solutions
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  -------------- Softie stats --------------
% 0.19/0.39  
% 0.19/0.39  UPDATE_STOP: 300
% 0.19/0.39  SFINDER_TIME_LIMIT: 2
% 0.19/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.39  number of clauses in intial UL: 12
% 0.19/0.39  number of clauses initially in problem: 18
% 0.19/0.39  percentage of clauses intially in UL: 66
% 0.19/0.39  percentage of distinct symbols occuring in initial UL: 84
% 0.19/0.39  percent of all initial clauses that are short: 100
% 0.19/0.39  absolute distinct symbol count: 13
% 0.19/0.39     distinct predicate count: 4
% 0.19/0.39     distinct function count: 5
% 0.19/0.39     distinct constant count: 4
% 0.19/0.39  
% 0.19/0.39  ---------- no more Softie stats ----------
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  =========== start of search ===========
% 0.42/0.61  
% 0.42/0.61  -------- PROOF -------- 
% 0.42/0.61  % SZS status Theorem
% 0.42/0.61  % SZS output start Refutation
% 0.42/0.61  
% 0.42/0.61  Stopped by limit on insertions
% 0.42/0.61  
% 0.42/0.61  Model 2 [ 1 1 747 ] (0.00 seconds, 250000 Inserts)
% 0.42/0.61  
% 0.42/0.61  ----> UNIT CONFLICT at   0.24 sec ----> 625 [binary,624.1,10.1] {-} $F.
% 0.42/0.61  
% 0.42/0.61  Length of proof is 6.  Level of proof is 5.
% 0.42/0.61  
% 0.42/0.61  ---------------- PROOF ----------------
% 0.42/0.61  % SZS status Theorem
% 0.42/0.61  % SZS output start Refutation
% 0.42/0.61  
% 0.42/0.61  2 [] {+} -subset(A,B)| -in(C,A)|in(C,B).
% 0.42/0.61  3 [] {+} subset(A,B)| -in($f1(A,B),B).
% 0.42/0.61  4 [] {+} A!=union(B)| -in(C,A)|in(C,$f2(B,A,C)).
% 0.42/0.61  5 [] {+} A!=union(B)| -in(C,A)|in($f2(B,A,C),B).
% 0.42/0.61  9 [] {+} -in(A,$c4)|subset(A,$c3).
% 0.42/0.61  10 [] {+} -subset(union($c4),$c3).
% 0.42/0.61  13 [] {-} subset(A,B)|in($f1(A,B),A).
% 0.42/0.61  18 [] {+} A=A.
% 0.42/0.61  19 [hyper,13,10] {-} in($f1(union($c4),$c3),union($c4)).
% 0.42/0.61  244 [hyper,18,5,19] {-} in($f2($c4,union($c4),$f1(union($c4),$c3)),$c4).
% 0.42/0.61  251 [hyper,18,4,19] {-} in($f1(union($c4),$c3),$f2($c4,union($c4),$f1(union($c4),$c3))).
% 0.42/0.61  258 [hyper,244,9] {+} subset($f2($c4,union($c4),$f1(union($c4),$c3)),$c3).
% 0.42/0.61  567 [hyper,251,2,258] {-} in($f1(union($c4),$c3),$c3).
% 0.42/0.61  624 [hyper,567,3] {-} subset(union($c4),$c3).
% 0.42/0.61  625 [binary,624.1,10.1] {-} $F.
% 0.42/0.61  
% 0.42/0.61  % SZS output end Refutation
% 0.42/0.61  ------------ end of proof -------------
% 0.42/0.61  
% 0.42/0.61  
% 0.42/0.61  Search stopped by max_proofs option.
% 0.42/0.61  
% 0.42/0.61  
% 0.42/0.61  Search stopped by max_proofs option.
% 0.42/0.61  
% 0.42/0.61  ============ end of search ============
% 0.42/0.61  
% 0.42/0.61  ----------- soft-scott stats ----------
% 0.42/0.61  
% 0.42/0.61  true clauses given           6      (31.6%)
% 0.42/0.61  false clauses given         13
% 0.42/0.61  
% 0.42/0.61        FALSE     TRUE
% 0.42/0.61    13  0         2
% 0.42/0.61    14  1         1
% 0.42/0.61    15  6         0
% 0.42/0.61    16  3         4
% 0.42/0.61    17  3         2
% 0.42/0.61    18  9         2
% 0.42/0.61    19  5         16
% 0.42/0.61    20  8         3
% 0.42/0.61    21  15        14
% 0.42/0.61    22  3         27
% 0.42/0.61    23  22        8
% 0.42/0.61    24  30        31
% 0.42/0.61    25  5         7
% 0.42/0.61    26  40        16
% 0.42/0.61    27  11        29
% 0.42/0.61    28  6         5
% 0.42/0.61    29  16        16
% 0.42/0.61    30  10        7
% 0.42/0.61    31  10        7
% 0.42/0.61    32  14        6
% 0.42/0.61    33  3         8
% 0.42/0.61    34  4         10
% 0.42/0.61    35  11        5
% 0.42/0.61    36  10        8
% 0.42/0.61    37  0         3
% 0.42/0.61    38  1         4
% 0.42/0.61    39  0         9
% 0.42/0.61    40  0         5
% 0.42/0.61    41  2         5
% 0.42/0.61    42  1         5
% 0.42/0.61    43  0         4
% 0.42/0.61    44  5         6
% 0.42/0.61    45  3         12
% 0.42/0.61    46  0         6
% 0.42/0.61    47  1         3
% 0.42/0.61    48  0         3
% 0.42/0.61    49  0         3
% 0.42/0.61    50  0         1
% 0.42/0.61    51  0         9
% 0.42/0.61    52  0         2
% 0.42/0.61    53  0         3
% 0.42/0.61    54  0         2
% 0.42/0.61    56  1         2
% 0.42/0.61    57  1         0
% 0.42/0.61    58  0         1
% 0.42/0.61  tot:  260       322      (55.3% true)
% 0.42/0.61  
% 0.42/0.61  
% 0.42/0.61  Model 2 [ 1 1 747 ] (0.00 seconds, 250000 Inserts)
% 0.42/0.61  
% 0.42/0.61  That finishes the proof of the theorem.
% 0.42/0.61  
% 0.42/0.61  Process 28024 finished Sat Jul  9 19:14:13 2022
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