TSTP Solution File: NUM533+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : NUM533+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n007.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 : Mon Jul 18 14:19:13 EDT 2022

% Result   : Theorem 0.46s 0.67s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM533+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jul  6 15:11:43 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.36  ----- Otter 3.2, August 2001 -----
% 0.12/0.36  The process was started by sandbox2 on n007.cluster.edu,
% 0.12/0.36  Wed Jul  6 15:11:43 2022
% 0.12/0.36  The command was "./sos".  The process ID is 18767.
% 0.12/0.36  
% 0.12/0.36  set(prolog_style_variables).
% 0.12/0.36  set(auto).
% 0.12/0.36     dependent: set(auto1).
% 0.12/0.36     dependent: set(process_input).
% 0.12/0.36     dependent: clear(print_kept).
% 0.12/0.36     dependent: clear(print_new_demod).
% 0.12/0.36     dependent: clear(print_back_demod).
% 0.12/0.36     dependent: clear(print_back_sub).
% 0.12/0.36     dependent: set(control_memory).
% 0.12/0.36     dependent: assign(max_mem, 12000).
% 0.12/0.36     dependent: assign(pick_given_ratio, 4).
% 0.12/0.36     dependent: assign(stats_level, 1).
% 0.12/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36     dependent: assign(sos_limit, 5000).
% 0.12/0.36     dependent: assign(max_weight, 60).
% 0.12/0.36  clear(print_given).
% 0.12/0.36  
% 0.12/0.36  formula_list(usable).
% 0.12/0.36  
% 0.12/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.12/0.36  
% 0.12/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.12/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.36  clauses in usable.
% 0.12/0.36  
% 0.12/0.36     dependent: set(knuth_bendix).
% 0.12/0.36     dependent: set(para_from).
% 0.12/0.36     dependent: set(para_into).
% 0.12/0.36     dependent: clear(para_from_right).
% 0.12/0.36     dependent: clear(para_into_right).
% 0.12/0.36     dependent: set(para_from_vars).
% 0.12/0.36     dependent: set(eq_units_both_ways).
% 0.12/0.36     dependent: set(dynamic_demod_all).
% 0.12/0.36     dependent: set(dynamic_demod).
% 0.12/0.36     dependent: set(order_eq).
% 0.12/0.36     dependent: set(back_demod).
% 0.12/0.36     dependent: set(lrpo).
% 0.12/0.36     dependent: set(hyper_res).
% 0.12/0.36     dependent: set(unit_deletion).
% 0.12/0.36     dependent: set(factor).
% 0.12/0.36  
% 0.12/0.36  ------------> process usable:
% 0.12/0.36  
% 0.12/0.36  ------------> process sos:
% 0.12/0.36    Following clause subsumed by 22 during input processing: 0 [copy,22,flip.1] {-} A=A.
% 0.12/0.36  22 back subsumes 15.
% 0.12/0.36  
% 0.12/0.36  ======= end of input processing =======
% 0.12/0.39  
% 0.12/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.39  
% 0.12/0.39  Stopped by limit on number of solutions
% 0.12/0.39  
% 0.12/0.39  
% 0.12/0.39  -------------- Softie stats --------------
% 0.12/0.39  
% 0.12/0.39  UPDATE_STOP: 300
% 0.12/0.39  SFINDER_TIME_LIMIT: 2
% 0.12/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.39  number of clauses in intial UL: 14
% 0.12/0.39  number of clauses initially in problem: 21
% 0.12/0.39  percentage of clauses intially in UL: 66
% 0.12/0.39  percentage of distinct symbols occuring in initial UL: 92
% 0.12/0.39  percent of all initial clauses that are short: 100
% 0.12/0.39  absolute distinct symbol count: 13
% 0.12/0.39     distinct predicate count: 7
% 0.12/0.39     distinct function count: 2
% 0.12/0.39     distinct constant count: 4
% 0.12/0.39  
% 0.12/0.39  ---------- no more Softie stats ----------
% 0.12/0.39  
% 0.12/0.39  
% 0.12/0.39  
% 0.12/0.39  Model 2 (0.00 seconds, 0 Inserts)
% 0.12/0.39  
% 0.12/0.39  Stopped by limit on number of solutions
% 0.12/0.39  
% 0.12/0.39  =========== start of search ===========
% 0.46/0.67  
% 0.46/0.67  -------- PROOF -------- 
% 0.46/0.67  % SZS status Theorem
% 0.46/0.67  % SZS output start Refutation
% 0.46/0.67  
% 0.46/0.67  Model 3 (0.00 seconds, 0 Inserts)
% 0.46/0.67  
% 0.46/0.67  Stopped by limit on number of solutions
% 0.46/0.67  
% 0.46/0.67  Model 4 (0.00 seconds, 0 Inserts)
% 0.46/0.67  
% 0.46/0.67  Stopped by limit on number of solutions
% 0.46/0.67  
% 0.46/0.67  Stopped by limit on insertions
% 0.46/0.67  
% 0.46/0.67  Model 5 [ 1 1 105 ] (0.00 seconds, 250000 Inserts)
% 0.46/0.67  
% 0.46/0.67  Stopped by limit on insertions
% 0.46/0.67  
% 0.46/0.67  Model 6 [ 2 0 67 ] (0.00 seconds, 250000 Inserts)
% 0.46/0.67  
% 0.46/0.67  Stopped by limit on insertions
% 0.46/0.67  
% 0.46/0.67  Model 7 [ 1 0 104 ] (0.00 seconds, 250000 Inserts)
% 0.46/0.67  
% 0.46/0.67  Stopped by limit on insertions
% 0.46/0.67  
% 0.46/0.67  Model 8 [ 2 1 64 ] (0.00 seconds, 250000 Inserts)
% 0.46/0.67  
% 0.46/0.67  ----> UNIT CONFLICT at   0.29 sec ----> 275 [binary,274.1,14.1] {-} $F.
% 0.46/0.67  
% 0.46/0.67  Length of proof is 4.  Level of proof is 4.
% 0.46/0.67  
% 0.46/0.67  ---------------- PROOF ----------------
% 0.46/0.67  % SZS status Theorem
% 0.46/0.67  % SZS output start Refutation
% 0.46/0.67  
% 0.46/0.67  8 [] {+} -aSet0(A)| -aSubsetOf0(B,A)| -aElementOf0(C,B)|aElementOf0(C,A).
% 0.46/0.67  9 [] {+} -aSet0(A)|aSubsetOf0(B,A)| -aSet0(B)|aElementOf0($f2(A,B),B).
% 0.46/0.67  10 [] {+} -aSet0(A)|aSubsetOf0(B,A)| -aSet0(B)| -aElementOf0($f2(A,B),A).
% 0.46/0.67  14 [] {+} -aSubsetOf0(xA,xC).
% 0.46/0.67  17 [] {+} aSet0(xA).
% 0.46/0.67  18 [] {+} aSet0(xB).
% 0.46/0.67  19 [] {+} aSet0(xC).
% 0.46/0.67  20 [] {+} aSubsetOf0(xA,xB).
% 0.46/0.67  21 [] {+} aSubsetOf0(xB,xC).
% 0.46/0.67  37 [hyper,19,9,17,unit_del,14] {+} aElementOf0($f2(xC,xA),xA).
% 0.46/0.67  252 [hyper,37,8,18,20] {-} aElementOf0($f2(xC,xA),xB).
% 0.46/0.67  264 [hyper,252,8,19,21] {+} aElementOf0($f2(xC,xA),xC).
% 0.46/0.67  274 [hyper,264,10,19,17] {-} aSubsetOf0(xA,xC).
% 0.46/0.67  275 [binary,274.1,14.1] {-} $F.
% 0.46/0.67  
% 0.46/0.67  % SZS output end Refutation
% 0.46/0.67  ------------ end of proof -------------
% 0.46/0.67  
% 0.46/0.67  
% 0.46/0.67  Search stopped by max_proofs option.
% 0.46/0.67  
% 0.46/0.67  
% 0.46/0.67  Search stopped by max_proofs option.
% 0.46/0.67  
% 0.46/0.67  ============ end of search ============
% 0.46/0.67  
% 0.46/0.67  ----------- soft-scott stats ----------
% 0.46/0.67  
% 0.46/0.67  true clauses given          11      (31.4%)
% 0.46/0.67  false clauses given         24
% 0.46/0.67  
% 0.46/0.67        FALSE     TRUE
% 0.46/0.67     4  1         0
% 0.46/0.67     6  0         1
% 0.46/0.67     7  0         16
% 0.46/0.67     8  2         9
% 0.46/0.67     9  7         10
% 0.46/0.67    10  0         7
% 0.46/0.67    11  0         5
% 0.46/0.67    13  4         2
% 0.46/0.67    14  0         11
% 0.46/0.67    15  5         47
% 0.46/0.67    16  0         2
% 0.46/0.67    17  0         2
% 0.46/0.67    18  0         10
% 0.46/0.67    19  2         18
% 0.46/0.67    20  0         2
% 0.46/0.67    21  0         2
% 0.46/0.67    22  0         9
% 0.46/0.67    23  0         7
% 0.46/0.67    24  0         3
% 0.46/0.67    25  0         1
% 0.46/0.67    26  0         2
% 0.46/0.67    27  0         2
% 0.46/0.67    28  0         1
% 0.46/0.67  tot:  21        169      (88.9% true)
% 0.46/0.67  
% 0.46/0.67  
% 0.46/0.67  Model 8 [ 2 1 64 ] (0.00 seconds, 250000 Inserts)
% 0.46/0.67  
% 0.46/0.67  That finishes the proof of the theorem.
% 0.46/0.67  
% 0.46/0.67  Process 18767 finished Wed Jul  6 15:11:44 2022
%------------------------------------------------------------------------------