TSTP Solution File: LCL075-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL075-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n013.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 14:27:44 EDT 2022

% Result   : Unsatisfiable 0.59s 0.80s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : LCL075-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.14  % Command  : sos-script %s
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jul  3 15:59:59 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.37  ----- Otter 3.2, August 2001 -----
% 0.13/0.37  The process was started by sandbox on n013.cluster.edu,
% 0.13/0.37  Sun Jul  3 15:59:59 2022
% 0.13/0.37  The command was "./sos".  The process ID is 8560.
% 0.13/0.37  
% 0.13/0.37  set(prolog_style_variables).
% 0.13/0.37  set(auto).
% 0.13/0.37     dependent: set(auto1).
% 0.13/0.37     dependent: set(process_input).
% 0.13/0.37     dependent: clear(print_kept).
% 0.13/0.37     dependent: clear(print_new_demod).
% 0.13/0.37     dependent: clear(print_back_demod).
% 0.13/0.37     dependent: clear(print_back_sub).
% 0.13/0.37     dependent: set(control_memory).
% 0.13/0.37     dependent: assign(max_mem, 12000).
% 0.13/0.37     dependent: assign(pick_given_ratio, 4).
% 0.13/0.37     dependent: assign(stats_level, 1).
% 0.13/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37     dependent: assign(sos_limit, 5000).
% 0.13/0.37     dependent: assign(max_weight, 60).
% 0.13/0.37  clear(print_given).
% 0.13/0.37  
% 0.13/0.37  list(usable).
% 0.13/0.37  
% 0.13/0.37  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.13/0.37  
% 0.13/0.37  This is a Horn set without equality.  The strategy will
% 0.13/0.37  be hyperresolution, with satellites in sos and nuclei
% 0.13/0.37  in usable.
% 0.13/0.37  
% 0.13/0.37     dependent: set(hyper_res).
% 0.13/0.37     dependent: clear(order_hyper).
% 0.13/0.37  
% 0.13/0.37  ------------> process usable:
% 0.13/0.37  
% 0.13/0.37  ------------> process sos:
% 0.13/0.37  
% 0.13/0.37  ======= end of input processing =======
% 0.21/0.39  
% 0.21/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.21/0.39  
% 0.21/0.39  Stopped by limit on number of solutions
% 0.21/0.39  
% 0.21/0.39  
% 0.21/0.39  -------------- Softie stats --------------
% 0.21/0.39  
% 0.21/0.39  UPDATE_STOP: 300
% 0.21/0.39  SFINDER_TIME_LIMIT: 2
% 0.21/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.39  number of clauses in intial UL: 2
% 0.21/0.39  number of clauses initially in problem: 3
% 0.21/0.39  percentage of clauses intially in UL: 66
% 0.21/0.39  percentage of distinct symbols occuring in initial UL: 100
% 0.21/0.39  percent of all initial clauses that are short: 100
% 0.21/0.39  absolute distinct symbol count: 5
% 0.21/0.39     distinct predicate count: 1
% 0.21/0.39     distinct function count: 2
% 0.21/0.39     distinct constant count: 2
% 0.21/0.39  
% 0.21/0.39  ---------- no more Softie stats ----------
% 0.21/0.39  
% 0.21/0.39  
% 0.21/0.39  
% 0.21/0.39  =========== start of search ===========
% 0.59/0.80  
% 0.59/0.80  -------- PROOF -------- 
% 0.59/0.80  % SZS status Unsatisfiable
% 0.59/0.80  % SZS output start Refutation
% 0.59/0.80  
% 0.59/0.80  Model 2 (0.00 seconds, 0 Inserts)
% 0.59/0.80  
% 0.59/0.80  Stopped by limit on number of solutions
% 0.59/0.80  
% 0.59/0.80  Model 3 (0.00 seconds, 0 Inserts)
% 0.59/0.80  
% 0.59/0.80  Stopped by limit on number of solutions
% 0.59/0.80  
% 0.59/0.80  Model 4 (0.00 seconds, 0 Inserts)
% 0.59/0.80  
% 0.59/0.80  Stopped by limit on number of solutions
% 0.59/0.80  
% 0.59/0.80  Model 5 (0.00 seconds, 0 Inserts)
% 0.59/0.80  
% 0.59/0.80  Stopped by limit on number of solutions
% 0.59/0.80  
% 0.59/0.80  ----> UNIT CONFLICT at   0.41 sec ----> 675 [binary,674.1,2.1] {-} $F.
% 0.59/0.80  
% 0.59/0.80  Length of proof is 8.  Level of proof is 8.
% 0.59/0.80  
% 0.59/0.80  ---------------- PROOF ----------------
% 0.59/0.80  % SZS status Unsatisfiable
% 0.59/0.80  % SZS output start Refutation
% 0.59/0.80  
% 0.59/0.80  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 0.59/0.80  2 [] {+} -is_a_theorem(implies(a,implies(not(a),b))).
% 0.59/0.80  3 [] {-} is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(not(C),not(D))),C),E),implies(implies(E,A),implies(D,A)))).
% 0.59/0.80  4 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),implies(B,D)),implies(E,implies(B,D)))).
% 0.59/0.80  6 [hyper,4,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 0.59/0.80  15 [hyper,6,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))).
% 0.59/0.80  35 [hyper,15,1,15] {+} is_a_theorem(implies(A,implies(B,implies(C,C)))).
% 0.59/0.80  47 [hyper,35,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,B)),C),implies(D,C))).
% 0.59/0.80  88 [hyper,47,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 0.59/0.80  97 [hyper,88,1,3] {-} is_a_theorem(implies(implies(implies(implies(not(A),not(B)),A),C),implies(B,C))).
% 0.59/0.80  674 [hyper,97,1,88] {-} is_a_theorem(implies(A,implies(not(A),B))).
% 0.59/0.80  675 [binary,674.1,2.1] {-} $F.
% 0.59/0.80  
% 0.59/0.80  % SZS output end Refutation
% 0.59/0.80  ------------ end of proof -------------
% 0.59/0.80  
% 0.59/0.80  
% 0.59/0.80  Search stopped by max_proofs option.
% 0.59/0.80  
% 0.59/0.80  
% 0.59/0.80  Search stopped by max_proofs option.
% 0.59/0.80  
% 0.59/0.80  ============ end of search ============
% 0.59/0.80  
% 0.59/0.80  ----------- soft-scott stats ----------
% 0.59/0.80  
% 0.59/0.80  true clauses given           9      (17.3%)
% 0.59/0.80  false clauses given         43
% 0.59/0.80  
% 0.59/0.80        FALSE     TRUE
% 0.59/0.80    11  0         2
% 0.59/0.80    12  0         6
% 0.59/0.80    13  0         6
% 0.59/0.80    14  11        6
% 0.59/0.80    15  22        11
% 0.59/0.80    16  26        10
% 0.59/0.80    17  34        15
% 0.59/0.80    18  40        9
% 0.59/0.80    19  52        16
% 0.59/0.80    20  45        7
% 0.59/0.80    21  49        2
% 0.59/0.80    22  53        0
% 0.59/0.81    23  20        3
% 0.59/0.81    24  13        0
% 0.59/0.81    25  9         1
% 0.59/0.81    26  4         0
% 0.59/0.81    27  17        4
% 0.59/0.81    28  6         0
% 0.59/0.81    29  9         1
% 0.59/0.81    30  5         0
% 0.59/0.81    31  15        0
% 0.59/0.81    32  9         0
% 0.59/0.81    33  12        0
% 0.59/0.81    35  2         0
% 0.59/0.81    37  2         0
% 0.59/0.81    43  2         0
% 0.59/0.81    51  1         0
% 0.59/0.81    53  2         0
% 0.59/0.81  tot:  460       99      (17.7% true)
% 0.59/0.81  
% 0.59/0.81  
% 0.59/0.81  Model 5 (0.00 seconds, 0 Inserts)
% 0.59/0.81  
% 0.59/0.81  That finishes the proof of the theorem.
% 0.59/0.81  
% 0.59/0.81  Process 8560 finished Sun Jul  3 16:00:00 2022
%------------------------------------------------------------------------------