TSTP Solution File: SWV251-2 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SWV251-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n028.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 : Wed Jul 20 21:37:31 EDT 2022

% Result   : Unsatisfiable 2.06s 2.26s
% Output   : Refutation 2.06s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWV251-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14  % Command  : sos-script %s
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Wed Jun 15 03:58:25 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.38  ----- Otter 3.2, August 2001 -----
% 0.21/0.38  The process was started by sandbox2 on n028.cluster.edu,
% 0.21/0.38  Wed Jun 15 03:58:25 2022
% 0.21/0.38  The command was "./sos".  The process ID is 23692.
% 0.21/0.38  
% 0.21/0.38  set(prolog_style_variables).
% 0.21/0.38  set(auto).
% 0.21/0.38     dependent: set(auto1).
% 0.21/0.38     dependent: set(process_input).
% 0.21/0.38     dependent: clear(print_kept).
% 0.21/0.38     dependent: clear(print_new_demod).
% 0.21/0.38     dependent: clear(print_back_demod).
% 0.21/0.38     dependent: clear(print_back_sub).
% 0.21/0.38     dependent: set(control_memory).
% 0.21/0.38     dependent: assign(max_mem, 12000).
% 0.21/0.38     dependent: assign(pick_given_ratio, 4).
% 0.21/0.38     dependent: assign(stats_level, 1).
% 0.21/0.38     dependent: assign(pick_semantic_ratio, 3).
% 0.21/0.38     dependent: assign(sos_limit, 5000).
% 0.21/0.38     dependent: assign(max_weight, 60).
% 0.21/0.38  clear(print_given).
% 0.21/0.38  
% 0.21/0.38  list(usable).
% 0.21/0.38  
% 0.21/0.38  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.21/0.38  
% 0.21/0.38  This is a Horn set with equality.  The strategy will be
% 0.21/0.38  Knuth-Bendix and hyper_res, with positive clauses in
% 0.21/0.38  sos and nonpositive clauses in usable.
% 0.21/0.38  
% 0.21/0.38     dependent: set(knuth_bendix).
% 0.21/0.38     dependent: set(para_from).
% 0.21/0.38     dependent: set(para_into).
% 0.21/0.38     dependent: clear(para_from_right).
% 0.21/0.38     dependent: clear(para_into_right).
% 0.21/0.38     dependent: set(para_from_vars).
% 0.21/0.38     dependent: set(eq_units_both_ways).
% 0.21/0.38     dependent: set(dynamic_demod_all).
% 0.21/0.38     dependent: set(dynamic_demod).
% 0.21/0.38     dependent: set(order_eq).
% 0.21/0.38     dependent: set(back_demod).
% 0.21/0.38     dependent: set(lrpo).
% 0.21/0.38     dependent: set(hyper_res).
% 0.21/0.38     dependent: clear(order_hyper).
% 0.21/0.38  
% 0.21/0.38  ------------> process usable:
% 0.21/0.38  
% 0.21/0.38  ------------> process sos:
% 0.21/0.38    Following clause subsumed by 16 during input processing: 0 [copy,16,flip.1] {-} A=A.
% 0.21/0.38  
% 0.21/0.38  ======= end of input processing =======
% 0.21/0.40  
% 0.21/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.21/0.40  
% 0.21/0.40  Stopped by limit on number of solutions
% 0.21/0.40  
% 0.21/0.40  
% 0.21/0.40  -------------- Softie stats --------------
% 0.21/0.40  
% 0.21/0.40  UPDATE_STOP: 300
% 0.21/0.40  SFINDER_TIME_LIMIT: 2
% 0.21/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.40  number of clauses in intial UL: 8
% 0.21/0.40  number of clauses initially in problem: 16
% 0.21/0.40  percentage of clauses intially in UL: 50
% 0.21/0.40  percentage of distinct symbols occuring in initial UL: 92
% 0.21/0.40  percent of all initial clauses that are short: 100
% 0.21/0.40  absolute distinct symbol count: 14
% 0.21/0.40     distinct predicate count: 3
% 0.21/0.40     distinct function count: 6
% 0.21/0.40     distinct constant count: 5
% 0.21/0.40  
% 0.21/0.40  ---------- no more Softie stats ----------
% 0.21/0.40  
% 0.21/0.40  
% 0.21/0.40  
% 0.21/0.40  =========== start of search ===========
% 2.06/2.26  
% 2.06/2.26  -------- PROOF -------- 
% 2.06/2.26  % SZS status Unsatisfiable
% 2.06/2.26  % SZS output start Refutation
% 2.06/2.26  
% 2.06/2.26  Stopped by limit on insertions
% 2.06/2.26  
% 2.06/2.26  Model 2 (0.00 seconds, 0 Inserts)
% 2.06/2.26  
% 2.06/2.26  Stopped by limit on number of solutions
% 2.06/2.26  
% 2.06/2.26  Stopped by limit on insertions
% 2.06/2.26  
% 2.06/2.26  Model 3 (0.00 seconds, 0 Inserts)
% 2.06/2.26  
% 2.06/2.26  Stopped by limit on number of solutions
% 2.06/2.26  
% 2.06/2.26  Stopped by limit on insertions
% 2.06/2.26  
% 2.06/2.26  Model 4 (0.00 seconds, 0 Inserts)
% 2.06/2.26  
% 2.06/2.26  Stopped by limit on number of solutions
% 2.06/2.26  
% 2.06/2.26  Stopped by limit on insertions
% 2.06/2.26  
% 2.06/2.26  Model 5 [ 26 1 3898 ] (0.00 seconds, 250000 Inserts)
% 2.06/2.26  
% 2.06/2.26  Model 6 (0.00 seconds, 250000 Inserts)
% 2.06/2.26  
% 2.06/2.26  Stopped by limit on number of solutions
% 2.06/2.26  
% 2.06/2.26  ----> UNIT CONFLICT at   1.85 sec ----> 2919 [binary,2918.1,8.1] {-} $F.
% 2.06/2.26  
% 2.06/2.26  Length of proof is 6.  Level of proof is 5.
% 2.06/2.26  
% 2.06/2.26  ---------------- PROOF ----------------
% 2.06/2.26  % SZS status Unsatisfiable
% 2.06/2.26  % SZS output start Refutation
% 2.06/2.26  
% 2.06/2.26  1 [] {+} -c_lessequals(A,B,tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Oanalz(A),c_Message_Oanalz(B),tc_set(tc_Message_Omsg)).
% 2.06/2.26  3 [] {+} -c_lessequals(c_union(A,B,C),D,tc_set(C))|c_lessequals(B,D,tc_set(C)).
% 2.06/2.26  5 [] {+} -c_in(A,B,C)|c_minus(c_insert(A,D,C),B,tc_set(C))=c_minus(D,B,tc_set(C)).
% 2.06/2.26  6 [] {+} -c_in(A,B,C)| -c_lessequals(B,D,tc_set(C))|c_in(A,D,C).
% 2.06/2.26  8 [] {+} -c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg).
% 2.06/2.26  12,11 [] {-} c_union(A,c_minus(B,A,tc_set(C)),C)=c_union(A,B,C).
% 2.06/2.26  13 [] {-} c_lessequals(A,A,tc_set(B)).
% 2.06/2.26  14 [] {-} c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg).
% 2.06/2.26  15 [] {-} c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg).
% 2.06/2.26  23 [hyper,13,3] {+} c_lessequals(A,c_union(B,A,C),tc_set(C)).
% 2.06/2.26  41 [para_into,11.1.1.2,5.2.1,demod,12,flip.1] {-} c_union(A,c_insert(B,C,D),D)=c_union(A,C,D)| -c_in(B,A,D).
% 2.06/2.26  72 [hyper,23,1] {+} c_lessequals(c_Message_Oanalz(A),c_Message_Oanalz(c_union(B,A,tc_Message_Omsg)),tc_set(tc_Message_Omsg)).
% 2.06/2.26  281 [hyper,72,6,15] {-} c_in(v_x,c_Message_Oanalz(c_union(A,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg).
% 2.06/2.26  2875 [para_from,41.1.1,281.1.2.1] {-} c_in(v_x,c_Message_Oanalz(c_union(A,v_H,tc_Message_Omsg)),tc_Message_Omsg)| -c_in(v_X,A,tc_Message_Omsg).
% 2.06/2.26  2918 [hyper,2875,14] {-} c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg).
% 2.06/2.26  2919 [binary,2918.1,8.1] {-} $F.
% 2.06/2.26  
% 2.06/2.26  % SZS output end Refutation
% 2.06/2.26  ------------ end of proof -------------
% 2.06/2.26  
% 2.06/2.26  
% 2.06/2.26  Search stopped by max_proofs option.
% 2.06/2.26  
% 2.06/2.26  
% 2.06/2.26  Search stopped by max_proofs option.
% 2.06/2.26  
% 2.06/2.26  ============ end of search ============
% 2.06/2.26  
% 2.06/2.26  ----------- soft-scott stats ----------
% 2.06/2.26  
% 2.06/2.26  true clauses given          29      (29.0%)
% 2.06/2.26  false clauses given         71
% 2.06/2.26  
% 2.06/2.26        FALSE     TRUE
% 2.06/2.26    12  0         1
% 2.06/2.26    13  0         7
% 2.06/2.26    14  0         34
% 2.06/2.26    15  4         22
% 2.06/2.26    16  6         27
% 2.06/2.26    17  35        40
% 2.06/2.26    18  39        63
% 2.06/2.26    19  26        40
% 2.06/2.26    20  59        45
% 2.06/2.26    21  61        113
% 2.06/2.26    22  72        97
% 2.06/2.26    23  13        36
% 2.06/2.26    24  100       60
% 2.06/2.26    25  8         113
% 2.06/2.26    26  24        71
% 2.06/2.26    27  31        63
% 2.06/2.26    28  27        75
% 2.06/2.26    29  28        51
% 2.06/2.26    30  55        68
% 2.06/2.26    31  49        46
% 2.06/2.26    32  27        89
% 2.06/2.26    33  107       61
% 2.06/2.26    34  25        130
% 2.06/2.26    35  28        64
% 2.06/2.26    36  24        59
% 2.06/2.26    37  26        23
% 2.06/2.26    38  15        20
% 2.06/2.26    39  22        31
% 2.06/2.26    40  22        8
% 2.06/2.26    41  8         16
% 2.06/2.26    42  10        21
% 2.06/2.26    43  12        4
% 2.06/2.26    44  10        3
% 2.06/2.26    45  10        13
% 2.06/2.26    46  2         0
% 2.06/2.26    47  11        0
% 2.06/2.26    48  8         1
% 2.06/2.26    49  3         0
% 2.06/2.26    50  5         1
% 2.06/2.26    51  3         0
% 2.06/2.26    52  0         5
% 2.06/2.26    53  0         1
% 2.06/2.26    54  0         3
% 2.06/2.26    55  2         1
% 2.06/2.26    56  2         1
% 2.06/2.26    57  9         1
% 2.06/2.26    59  1         0
% 2.06/2.26    60  2         0
% 2.06/2.26  tot:  1031      1628      (61.2% true)
% 2.06/2.26  
% 2.06/2.26  
% 2.06/2.26  Model 6 (0.00 seconds, 250000 Inserts)
% 2.06/2.26  
% 2.06/2.26  That finishes the proof of the theorem.
% 2.06/2.26  
% 2.06/2.26  Process 23692 finished Wed Jun 15 03:58:26 2022
%------------------------------------------------------------------------------