TSTP Solution File: LCL069-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL069-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n012.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 14:27:42 EDT 2022

% Result   : Unsatisfiable 6.14s 6.39s
% Output   : Refutation 6.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL069-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n012.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 : Sat Jul  2 23:34:32 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  ----- Otter 3.2, August 2001 -----
% 0.13/0.35  The process was started by sandbox on n012.cluster.edu,
% 0.13/0.35  Sat Jul  2 23:34:32 2022
% 0.13/0.35  The command was "./sos".  The process ID is 32192.
% 0.13/0.35  
% 0.13/0.35  set(prolog_style_variables).
% 0.13/0.35  set(auto).
% 0.13/0.35     dependent: set(auto1).
% 0.13/0.35     dependent: set(process_input).
% 0.13/0.35     dependent: clear(print_kept).
% 0.13/0.35     dependent: clear(print_new_demod).
% 0.13/0.35     dependent: clear(print_back_demod).
% 0.13/0.35     dependent: clear(print_back_sub).
% 0.13/0.35     dependent: set(control_memory).
% 0.13/0.35     dependent: assign(max_mem, 12000).
% 0.13/0.35     dependent: assign(pick_given_ratio, 4).
% 0.13/0.35     dependent: assign(stats_level, 1).
% 0.13/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35     dependent: assign(sos_limit, 5000).
% 0.13/0.35     dependent: assign(max_weight, 60).
% 0.13/0.35  clear(print_given).
% 0.13/0.35  
% 0.13/0.35  list(usable).
% 0.13/0.35  
% 0.13/0.35  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.13/0.35  
% 0.13/0.35  This is a Horn set without equality.  The strategy will
% 0.13/0.35  be hyperresolution, with satellites in sos and nuclei
% 0.13/0.35  in usable.
% 0.13/0.35  
% 0.13/0.35     dependent: set(hyper_res).
% 0.13/0.35     dependent: clear(order_hyper).
% 0.13/0.35  
% 0.13/0.35  ------------> process usable:
% 0.13/0.35  
% 0.13/0.35  ------------> process sos:
% 0.13/0.35  
% 0.13/0.35  ======= 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: 2
% 0.13/0.38  number of clauses initially in problem: 5
% 0.13/0.38  percentage of clauses intially in UL: 40
% 0.13/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.13/0.38  percent of all initial clauses that are short: 100
% 0.13/0.38  absolute distinct symbol count: 5
% 0.13/0.38     distinct predicate count: 1
% 0.13/0.38     distinct function count: 2
% 0.13/0.38     distinct constant count: 2
% 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 ===========
% 6.14/6.39  
% 6.14/6.39  -------- PROOF -------- 
% 6.14/6.39  % SZS status Unsatisfiable
% 6.14/6.39  % SZS output start Refutation
% 6.14/6.39  
% 6.14/6.39  Model 2 (0.00 seconds, 0 Inserts)
% 6.14/6.39  
% 6.14/6.39  Stopped by limit on number of solutions
% 6.14/6.39  
% 6.14/6.39  Model 3 (0.00 seconds, 0 Inserts)
% 6.14/6.39  
% 6.14/6.39  Stopped by limit on number of solutions
% 6.14/6.39  
% 6.14/6.39  Stopped by limit on insertions
% 6.14/6.39  
% 6.14/6.39  Model 4 [ 1 1 468 ] (0.00 seconds, 250000 Inserts)
% 6.14/6.39  
% 6.14/6.39  Stopped by limit on insertions
% 6.14/6.39  
% 6.14/6.39  Model 5 [ 1 0 296 ] (0.00 seconds, 250000 Inserts)
% 6.14/6.39  
% 6.14/6.39  Stopped by limit on insertions
% 6.14/6.39  
% 6.14/6.39  Model 6 [ 1 0 86 ] (0.00 seconds, 250000 Inserts)
% 6.14/6.39  
% 6.14/6.39  Model 7 [ 1 1 33 ] (0.00 seconds, 212944 Inserts)
% 6.14/6.39  
% 6.14/6.39  Stopped by limit on insertions
% 6.14/6.39  
% 6.14/6.39  Model 8 [ 1 1 196 ] (0.00 seconds, 250000 Inserts)
% 6.14/6.39  
% 6.14/6.39  ----> UNIT CONFLICT at   6.00 sec ----> 410 [binary,409.1,2.1] {-} $F.
% 6.14/6.39  
% 6.14/6.39  Length of proof is 10.  Level of proof is 8.
% 6.14/6.39  
% 6.14/6.39  ---------------- PROOF ----------------
% 6.14/6.39  % SZS status Unsatisfiable
% 6.14/6.39  % SZS output start Refutation
% 6.14/6.39  
% 6.14/6.39  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 6.14/6.39  2 [] {+} -is_a_theorem(implies(a,implies(not(a),b))).
% 6.14/6.39  3 [] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 6.14/6.39  4 [] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(not(A),C))).
% 6.14/6.39  5 [] {-} is_a_theorem(implies(implies(not(A),B),implies(implies(C,B),implies(implies(A,C),B)))).
% 6.14/6.39  6 [hyper,3,1,3] {+} is_a_theorem(implies(A,implies(B,A))).
% 6.14/6.39  12 [hyper,4,1,6] {-} is_a_theorem(implies(not(A),implies(B,implies(A,C)))).
% 6.14/6.39  18 [hyper,5,1,12] {-} is_a_theorem(implies(implies(A,implies(B,implies(C,D))),implies(implies(C,A),implies(B,implies(C,D))))).
% 6.14/6.39  82 [hyper,18,1,6] {-} is_a_theorem(implies(implies(A,implies(A,B)),implies(C,implies(A,B)))).
% 6.14/6.39  96 [hyper,82,1,12] {-} is_a_theorem(implies(A,implies(not(B),implies(B,C)))).
% 6.14/6.39  97 [hyper,82,1,6] {+} is_a_theorem(implies(A,implies(B,B))).
% 6.14/6.39  99 [hyper,97,1,97] {+} is_a_theorem(implies(A,A)).
% 6.14/6.39  103 [hyper,96,1,96] {+} is_a_theorem(implies(not(A),implies(A,B))).
% 6.14/6.39  118 [hyper,103,1,18] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 6.14/6.39  409 [hyper,118,1,99] {-} is_a_theorem(implies(A,implies(not(A),B))).
% 6.14/6.39  410 [binary,409.1,2.1] {-} $F.
% 6.14/6.39  
% 6.14/6.39  % SZS output end Refutation
% 6.14/6.39  ------------ end of proof -------------
% 6.14/6.39  
% 6.14/6.39  
% 6.14/6.39  Search stopped by max_proofs option.
% 6.14/6.39  
% 6.14/6.39  
% 6.14/6.39  Search stopped by max_proofs option.
% 6.14/6.39  
% 6.14/6.39  ============ end of search ============
% 6.14/6.39  
% 6.14/6.39  ----------- soft-scott stats ----------
% 6.14/6.39  
% 6.14/6.39  true clauses given          12      (20.3%)
% 6.14/6.39  false clauses given         47
% 6.14/6.39  
% 6.14/6.39        FALSE     TRUE
% 6.14/6.39     8  0         5
% 6.14/6.39     9  0         3
% 6.14/6.39    10  0         11
% 6.14/6.39    11  12        3
% 6.14/6.39    12  16        24
% 6.14/6.39    13  29        4
% 6.14/6.39    14  18        26
% 6.14/6.39    15  26        0
% 6.14/6.39    16  17        16
% 6.14/6.39    17  11        1
% 6.14/6.39    18  7         17
% 6.14/6.39    19  5         3
% 6.14/6.39    20  10        10
% 6.14/6.39    21  1         2
% 6.14/6.39    22  13        9
% 6.14/6.39    23  0         1
% 6.14/6.39    24  8         5
% 6.14/6.39    26  6         2
% 6.14/6.39    27  0         1
% 6.14/6.39    28  4         0
% 6.14/6.39    30  3         0
% 6.14/6.39    32  1         0
% 6.14/6.39    34  2         0
% 6.14/6.39    36  1         0
% 6.14/6.39    38  2         0
% 6.14/6.39    42  1         0
% 6.14/6.39  tot:  193       143      (42.6% true)
% 6.14/6.39  
% 6.14/6.39  
% 6.14/6.39  Model 8 [ 1 1 196 ] (0.00 seconds, 250000 Inserts)
% 6.14/6.39  
% 6.14/6.39  That finishes the proof of the theorem.
% 6.14/6.39  
% 6.14/6.39  Process 32192 finished Sat Jul  2 23:34:38 2022
%------------------------------------------------------------------------------