TSTP Solution File: LCL384-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL384-1 : TPTP v8.1.0. Released v2.3.0.
% 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 : Sun Jul 17 14:29:50 EDT 2022

% Result   : Unsatisfiable 5.70s 5.93s
% Output   : Refutation 5.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL384-1 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.13  % Command  : sos-script %s
% 0.14/0.33  % Computer : n018.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Sun Jul  3 12:35:50 EDT 2022
% 0.14/0.33  % CPUTime  : 
% 0.14/0.35  ----- Otter 3.2, August 2001 -----
% 0.14/0.35  The process was started by sandbox on n018.cluster.edu,
% 0.14/0.35  Sun Jul  3 12:35:50 2022
% 0.14/0.35  The command was "./sos".  The process ID is 786.
% 0.14/0.35  
% 0.14/0.35  set(prolog_style_variables).
% 0.14/0.35  set(auto).
% 0.14/0.35     dependent: set(auto1).
% 0.14/0.35     dependent: set(process_input).
% 0.14/0.35     dependent: clear(print_kept).
% 0.14/0.35     dependent: clear(print_new_demod).
% 0.14/0.35     dependent: clear(print_back_demod).
% 0.14/0.35     dependent: clear(print_back_sub).
% 0.14/0.35     dependent: set(control_memory).
% 0.14/0.35     dependent: assign(max_mem, 12000).
% 0.14/0.35     dependent: assign(pick_given_ratio, 4).
% 0.14/0.35     dependent: assign(stats_level, 1).
% 0.14/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.35     dependent: assign(sos_limit, 5000).
% 0.14/0.35     dependent: assign(max_weight, 60).
% 0.14/0.35  clear(print_given).
% 0.14/0.35  
% 0.14/0.35  list(usable).
% 0.14/0.35  
% 0.14/0.35  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.14/0.35  
% 0.14/0.35  This is a Horn set without equality.  The strategy will
% 0.14/0.35  be hyperresolution, with satellites in sos and nuclei
% 0.14/0.35  in usable.
% 0.14/0.35  
% 0.14/0.35     dependent: set(hyper_res).
% 0.14/0.35     dependent: clear(order_hyper).
% 0.14/0.35  
% 0.14/0.35  ------------> process usable:
% 0.14/0.35  
% 0.14/0.35  ------------> process sos:
% 0.14/0.35  
% 0.14/0.35  ======= end of input processing =======
% 0.14/0.38  
% 0.14/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.14/0.38  
% 0.14/0.38  Stopped by limit on number of solutions
% 0.14/0.38  
% 0.14/0.38  
% 0.14/0.38  -------------- Softie stats --------------
% 0.14/0.38  
% 0.14/0.38  UPDATE_STOP: 300
% 0.14/0.38  SFINDER_TIME_LIMIT: 2
% 0.14/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.14/0.38  number of clauses in intial UL: 2
% 0.14/0.38  number of clauses initially in problem: 5
% 0.14/0.38  percentage of clauses intially in UL: 40
% 0.14/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.14/0.38  percent of all initial clauses that are short: 100
% 0.14/0.38  absolute distinct symbol count: 6
% 0.14/0.38     distinct predicate count: 1
% 0.14/0.38     distinct function count: 2
% 0.14/0.38     distinct constant count: 3
% 0.14/0.38  
% 0.14/0.38  ---------- no more Softie stats ----------
% 0.14/0.38  
% 0.14/0.38  
% 0.14/0.38  
% 0.14/0.38  =========== start of search ===========
% 5.70/5.93  
% 5.70/5.93  -------- PROOF -------- 
% 5.70/5.93  % SZS status Unsatisfiable
% 5.70/5.93  % SZS output start Refutation
% 5.70/5.93  
% 5.70/5.93  Model 2 (0.00 seconds, 0 Inserts)
% 5.70/5.93  
% 5.70/5.93  Stopped by limit on number of solutions
% 5.70/5.93  
% 5.70/5.93  Model 3 (0.00 seconds, 0 Inserts)
% 5.70/5.93  
% 5.70/5.93  Stopped by limit on number of solutions
% 5.70/5.93  
% 5.70/5.93  Model 4 (0.00 seconds, 0 Inserts)
% 5.70/5.93  
% 5.70/5.93  Stopped by limit on number of solutions
% 5.70/5.93  
% 5.70/5.93  Stopped by limit on insertions
% 5.70/5.93  
% 5.70/5.93  Model 5 [ 1 1 29 ] (0.00 seconds, 250000 Inserts)
% 5.70/5.93  
% 5.70/5.93  Stopped by limit on insertions
% 5.70/5.93  
% 5.70/5.93  Model 6 [ 1 0 352 ] (0.00 seconds, 250000 Inserts)
% 5.70/5.93  
% 5.70/5.93  ----> UNIT CONFLICT at   5.55 sec ----> 1462 [binary,1461.1,2.1] {-} $F.
% 5.70/5.93  
% 5.70/5.93  Length of proof is 18.  Level of proof is 14.
% 5.70/5.93  
% 5.70/5.93  ---------------- PROOF ----------------
% 5.70/5.93  % SZS status Unsatisfiable
% 5.70/5.93  % SZS output start Refutation
% 5.70/5.93  
% 5.70/5.93  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 5.70/5.93  2 [] {+} -is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(not(z),y),implies(x,z)))).
% 5.70/5.93  3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 5.70/5.93  4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 5.70/5.93  5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 5.70/5.93  6 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 5.70/5.93  7 [hyper,4,1,3] {+} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 5.70/5.93  9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 5.70/5.93  15 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 5.70/5.93  18 [hyper,6,1,6] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(A,implies(D,C))))).
% 5.70/5.93  21 [hyper,6,1,9] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 5.70/5.93  24 [hyper,21,1,9] {+} is_a_theorem(implies(A,implies(B,implies(not(A),C)))).
% 5.70/5.93  55 [hyper,24,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 5.70/5.93  71 [hyper,55,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(not(A),B),C),implies(D,C)))).
% 5.70/5.93  85 [hyper,71,1,15] {-} is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))).
% 5.70/5.93  111 [hyper,85,1,4] {+} is_a_theorem(implies(A,implies(B,B))).
% 5.70/5.93  162 [hyper,111,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))).
% 5.70/5.93  203 [hyper,162,1,7] {+} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 5.70/5.93  437 [hyper,203,1,18] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))).
% 5.70/5.93  929 [hyper,437,1,437] {-} is_a_theorem(implies(A,implies(implies(B,implies(not(C),C)),implies(B,C)))).
% 5.70/5.93  1371 [hyper,929,1,929] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(A,B))).
% 5.70/5.93  1418 [hyper,1371,1,6] {-} is_a_theorem(implies(implies(not(A),B),implies(implies(B,A),A))).
% 5.70/5.93  1461 [hyper,1418,1,18] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(not(C),B),implies(A,C)))).
% 5.70/5.93  1462 [binary,1461.1,2.1] {-} $F.
% 5.70/5.93  
% 5.70/5.93  % SZS output end Refutation
% 5.70/5.93  ------------ end of proof -------------
% 5.70/5.93  
% 5.70/5.93  
% 5.70/5.93  Search stopped by max_proofs option.
% 5.70/5.93  
% 5.70/5.93  
% 5.70/5.93  Search stopped by max_proofs option.
% 5.70/5.93  
% 5.70/5.93  ============ end of search ============
% 5.70/5.93  
% 5.70/5.93  ----------- soft-scott stats ----------
% 5.70/5.93  
% 5.70/5.93  true clauses given          27      (27.0%)
% 5.70/5.93  false clauses given         73
% 5.70/5.93  
% 5.70/5.93        FALSE     TRUE
% 5.70/5.93    10  0         3
% 5.70/5.93    11  1         17
% 5.70/5.93    12  1         27
% 5.70/5.93    13  11        37
% 5.70/5.93    14  18        48
% 5.70/5.93    15  38        63
% 5.70/5.93    16  34        72
% 5.70/5.93    17  47        82
% 5.70/5.93    18  31        79
% 5.70/5.93    19  47        69
% 5.70/5.93    20  31        61
% 5.70/5.93    21  38        42
% 5.70/5.93    22  24        43
% 5.70/5.93    23  17        35
% 5.70/5.93    24  12        29
% 5.70/5.93    25  20        24
% 5.70/5.93    26  5         18
% 5.70/5.93    27  15        6
% 5.70/5.93    28  7         16
% 5.70/5.93    29  15        6
% 5.70/5.93    30  6         7
% 5.70/5.93    31  19        10
% 5.70/5.93    32  5         7
% 5.70/5.93    33  4         9
% 5.70/5.93    34  8         12
% 5.70/5.93    35  1         4
% 5.70/5.93    36  1         9
% 5.70/5.93    37  4         5
% 5.70/5.93    38  0         4
% 5.70/5.93    39  2         2
% 5.70/5.93    40  1         5
% 5.70/5.93    42  0         3
% 5.70/5.93    43  0         1
% 5.70/5.93    45  0         1
% 5.70/5.93    46  0         1
% 5.70/5.93    48  0         1
% 5.70/5.93  tot:  463       858      (65.0% true)
% 5.70/5.93  
% 5.70/5.93  
% 5.70/5.93  Model 6 [ 1 0 352 ] (0.00 seconds, 250000 Inserts)
% 5.70/5.93  
% 5.70/5.93  That finishes the proof of the theorem.
% 5.70/5.93  
% 5.70/5.93  Process 786 finished Sun Jul  3 12:35:55 2022
%------------------------------------------------------------------------------