TSTP Solution File: LCL059-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL059-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n004.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 14:27:38 EDT 2022

% Result   : Unsatisfiable 10.39s 10.61s
% Output   : Refutation 10.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : LCL059-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jul  3 04:49:23 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  ----- Otter 3.2, August 2001 -----
% 0.14/0.36  The process was started by sandbox2 on n004.cluster.edu,
% 0.14/0.36  Sun Jul  3 04:49:23 2022
% 0.14/0.36  The command was "./sos".  The process ID is 27239.
% 0.14/0.36  
% 0.14/0.36  set(prolog_style_variables).
% 0.14/0.36  set(auto).
% 0.14/0.36     dependent: set(auto1).
% 0.14/0.36     dependent: set(process_input).
% 0.14/0.36     dependent: clear(print_kept).
% 0.14/0.36     dependent: clear(print_new_demod).
% 0.14/0.36     dependent: clear(print_back_demod).
% 0.14/0.36     dependent: clear(print_back_sub).
% 0.14/0.36     dependent: set(control_memory).
% 0.14/0.36     dependent: assign(max_mem, 12000).
% 0.14/0.36     dependent: assign(pick_given_ratio, 4).
% 0.14/0.36     dependent: assign(stats_level, 1).
% 0.14/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.36     dependent: assign(sos_limit, 5000).
% 0.14/0.36     dependent: assign(max_weight, 60).
% 0.14/0.36  clear(print_given).
% 0.14/0.36  
% 0.14/0.36  list(usable).
% 0.14/0.36  
% 0.14/0.36  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.14/0.36  
% 0.14/0.36  This is a Horn set without equality.  The strategy will
% 0.14/0.36  be hyperresolution, with satellites in sos and nuclei
% 0.14/0.36  in usable.
% 0.14/0.36  
% 0.14/0.36     dependent: set(hyper_res).
% 0.14/0.36     dependent: clear(order_hyper).
% 0.14/0.36  
% 0.14/0.36  ------------> process usable:
% 0.14/0.36  
% 0.14/0.36  ------------> process sos:
% 0.14/0.36  
% 0.14/0.36  ======= end of input processing =======
% 0.20/0.39  
% 0.20/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.39  
% 0.20/0.39  Stopped by limit on number of solutions
% 0.20/0.39  
% 0.20/0.39  
% 0.20/0.39  -------------- Softie stats --------------
% 0.20/0.39  
% 0.20/0.39  UPDATE_STOP: 300
% 0.20/0.39  SFINDER_TIME_LIMIT: 2
% 0.20/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.39  number of clauses in intial UL: 2
% 0.20/0.39  number of clauses initially in problem: 5
% 0.20/0.39  percentage of clauses intially in UL: 40
% 0.20/0.39  percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.39  percent of all initial clauses that are short: 100
% 0.20/0.39  absolute distinct symbol count: 5
% 0.20/0.39     distinct predicate count: 1
% 0.20/0.39     distinct function count: 2
% 0.20/0.39     distinct constant count: 2
% 0.20/0.39  
% 0.20/0.39  ---------- no more Softie stats ----------
% 0.20/0.39  
% 0.20/0.39  
% 0.20/0.39  
% 0.20/0.39  =========== start of search ===========
% 9.98/10.20  
% 9.98/10.20  
% 9.98/10.20  Changing weight limit from 60 to 52.
% 9.98/10.20  
% 9.98/10.20  Model 2 (0.00 seconds, 0 Inserts)
% 9.98/10.20  
% 9.98/10.20  Stopped by limit on number of solutions
% 9.98/10.20  
% 9.98/10.20  Model 3 (0.00 seconds, 0 Inserts)
% 9.98/10.20  
% 9.98/10.20  Stopped by limit on number of solutions
% 9.98/10.20  
% 9.98/10.20  Model 4 (0.00 seconds, 0 Inserts)
% 9.98/10.20  
% 9.98/10.20  Stopped by limit on number of solutions
% 9.98/10.20  
% 9.98/10.20  Stopped by limit on insertions
% 9.98/10.20  
% 9.98/10.20  Model 5 [ 1 1 71 ] (0.00 seconds, 250000 Inserts)
% 9.98/10.20  
% 9.98/10.20  Stopped by limit on insertions
% 9.98/10.20  
% 9.98/10.20  Model 6 [ 1 1 51 ] (0.00 seconds, 250000 Inserts)
% 9.98/10.20  
% 9.98/10.20  Resetting weight limit to 52 after 145 givens.
% 9.98/10.20  
% 10.39/10.61  
% 10.39/10.61  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 10.39/10.61  
% 10.39/10.61  ----> UNIT CONFLICT at  10.19 sec ----> 4522 [binary,4521.1,2.1] {-} $F.
% 10.39/10.61  
% 10.39/10.61  Length of proof is 17.  Level of proof is 12.
% 10.39/10.61  
% 10.39/10.61  ---------------- PROOF ----------------
% 10.39/10.61  % SZS status Unsatisfiable
% 10.39/10.61  % SZS output start Refutation
% 10.39/10.61  
% 10.39/10.61  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 10.39/10.61  2 [] {+} -is_a_theorem(implies(implies(not(a),not(b)),implies(b,a))).
% 10.39/10.61  3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 10.39/10.61  4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 10.39/10.61  5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 10.39/10.61  6 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 10.39/10.61  7 [hyper,4,1,3] {-} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 10.39/10.61  9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 10.39/10.61  12 [hyper,7,1,7] {+} is_a_theorem(implies(implies(not(implies(A,B)),implies(A,B)),implies(implies(not(A),A),B))).
% 10.39/10.61  29 [hyper,9,1,6] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 10.39/10.61  34 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 10.39/10.61  40 [hyper,29,1,9] {+} is_a_theorem(implies(A,implies(B,implies(not(A),C)))).
% 10.39/10.61  43 [hyper,29,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(implies(B,not(A)),D))).
% 10.39/10.61  57 [hyper,40,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 10.39/10.61  73 [hyper,57,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(not(A),B),C),implies(D,C)))).
% 10.39/10.61  85 [hyper,73,1,34] {-} is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))).
% 10.39/10.61  138 [hyper,12,1,85] {+} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 10.39/10.61  249 [hyper,138,1,3] {-} is_a_theorem(implies(implies(implies(implies(not(A),A),A),B),implies(C,B))).
% 10.39/10.61  281 [hyper,249,1,6] {+} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))).
% 10.39/10.61  4376 [hyper,281,1,43] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(C,implies(B,A)))).
% 10.39/10.61  4448 [hyper,4376,1,281] {-} is_a_theorem(implies(A,implies(implies(not(B),not(C)),implies(C,B)))).
% 10.39/10.61  4521 [hyper,4448,1,4448] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))).
% 10.39/10.61  4522 [binary,4521.1,2.1] {-} $F.
% 10.39/10.61  
% 10.39/10.61  % SZS output end Refutation
% 10.39/10.61  ------------ end of proof -------------
% 10.39/10.61  
% 10.39/10.61  
% 10.39/10.61  Search stopped by max_proofs option.
% 10.39/10.61  
% 10.39/10.61  
% 10.39/10.61  Search stopped by max_proofs option.
% 10.39/10.61  
% 10.39/10.61  ============ end of search ============
% 10.39/10.61  
% 10.39/10.61  ----------- soft-scott stats ----------
% 10.39/10.61  
% 10.39/10.61  true clauses given          39      (22.9%)
% 10.39/10.61  false clauses given        131
% 10.39/10.61  
% 10.39/10.61        FALSE     TRUE
% 10.39/10.61     8  0         1
% 10.39/10.61    10  0         1
% 10.39/10.61    11  0         1
% 10.39/10.61    12  0         3
% 10.39/10.61    13  6         7
% 10.39/10.61    14  55        25
% 10.39/10.61    15  131       18
% 10.39/10.61    16  184       45
% 10.39/10.61    17  296       16
% 10.39/10.61    18  327       23
% 10.39/10.61    19  354       18
% 10.39/10.61    20  409       39
% 10.39/10.61    21  437       24
% 10.39/10.61    22  301       9
% 10.39/10.61    23  0         11
% 10.39/10.61    24  0         19
% 10.39/10.61    25  0         9
% 10.39/10.61    26  0         7
% 10.39/10.61    27  0         5
% 10.39/10.61    28  0         4
% 10.39/10.61    29  0         9
% 10.39/10.61    30  0         3
% 10.39/10.61    31  0         6
% 10.39/10.61    32  0         2
% 10.39/10.61    33  0         1
% 10.39/10.61    35  0         2
% 10.39/10.61    37  0         1
% 10.39/10.61    39  0         1
% 10.39/10.61    40  0         1
% 10.39/10.61    49  0         1
% 10.39/10.61    52  0         1
% 10.39/10.61  tot:  2500      313      (11.1% true)
% 10.39/10.61  
% 10.39/10.61  
% 10.39/10.61  Model 6 [ 1 1 51 ] (0.00 seconds, 250000 Inserts)
% 10.39/10.61  
% 10.39/10.61  That finishes the proof of the theorem.
% 10.39/10.61  
% 10.39/10.61  Process 27239 finished Sun Jul  3 04:49:33 2022
%------------------------------------------------------------------------------