TSTP Solution File: LCL066-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL066-1 : 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 14:27:41 EDT 2022

% Result   : Unsatisfiable 8.44s 8.67s
% Output   : Refutation 8.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : LCL066-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.14  % Command  : sos-script %s
% 0.14/0.35  % Computer : n004.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 : Sat Jul  2 13:48:23 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.37  ----- Otter 3.2, August 2001 -----
% 0.14/0.37  The process was started by sandbox on n004.cluster.edu,
% 0.14/0.37  Sat Jul  2 13:48:23 2022
% 0.14/0.37  The command was "./sos".  The process ID is 21448.
% 0.14/0.37  
% 0.14/0.37  set(prolog_style_variables).
% 0.14/0.37  set(auto).
% 0.14/0.37     dependent: set(auto1).
% 0.14/0.37     dependent: set(process_input).
% 0.14/0.37     dependent: clear(print_kept).
% 0.14/0.37     dependent: clear(print_new_demod).
% 0.14/0.37     dependent: clear(print_back_demod).
% 0.14/0.37     dependent: clear(print_back_sub).
% 0.14/0.37     dependent: set(control_memory).
% 0.14/0.37     dependent: assign(max_mem, 12000).
% 0.14/0.37     dependent: assign(pick_given_ratio, 4).
% 0.14/0.37     dependent: assign(stats_level, 1).
% 0.14/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.37     dependent: assign(sos_limit, 5000).
% 0.14/0.37     dependent: assign(max_weight, 60).
% 0.14/0.37  clear(print_given).
% 0.14/0.37  
% 0.14/0.37  list(usable).
% 0.14/0.37  
% 0.14/0.37  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.14/0.37  
% 0.14/0.37  This is a Horn set without equality.  The strategy will
% 0.14/0.37  be hyperresolution, with satellites in sos and nuclei
% 0.14/0.37  in usable.
% 0.14/0.37  
% 0.14/0.37     dependent: set(hyper_res).
% 0.14/0.37     dependent: clear(order_hyper).
% 0.14/0.37  
% 0.14/0.37  ------------> process usable:
% 0.14/0.37  
% 0.14/0.37  ------------> process sos:
% 0.14/0.37  
% 0.14/0.37  ======= end of input processing =======
% 0.14/0.40  
% 0.14/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.14/0.40  
% 0.14/0.40  Stopped by limit on number of solutions
% 0.14/0.40  
% 0.14/0.40  
% 0.14/0.40  -------------- Softie stats --------------
% 0.14/0.40  
% 0.14/0.40  UPDATE_STOP: 300
% 0.14/0.40  SFINDER_TIME_LIMIT: 2
% 0.14/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.14/0.40  number of clauses in intial UL: 2
% 0.14/0.40  number of clauses initially in problem: 5
% 0.14/0.40  percentage of clauses intially in UL: 40
% 0.14/0.40  percentage of distinct symbols occuring in initial UL: 100
% 0.14/0.40  percent of all initial clauses that are short: 100
% 0.14/0.40  absolute distinct symbol count: 5
% 0.14/0.40     distinct predicate count: 1
% 0.14/0.40     distinct function count: 2
% 0.14/0.40     distinct constant count: 2
% 0.14/0.40  
% 0.14/0.40  ---------- no more Softie stats ----------
% 0.14/0.40  
% 0.14/0.40  
% 0.14/0.40  
% 0.14/0.40  Model 2 (0.00 seconds, 0 Inserts)
% 0.14/0.40  
% 0.14/0.40  Stopped by limit on number of solutions
% 0.14/0.40  
% 0.14/0.40  =========== start of search ===========
% 8.44/8.67  
% 8.44/8.67  -------- PROOF -------- 
% 8.44/8.67  % SZS status Unsatisfiable
% 8.44/8.67  % SZS output start Refutation
% 8.44/8.67  
% 8.44/8.67  Model 3 (0.00 seconds, 0 Inserts)
% 8.44/8.67  
% 8.44/8.67  Stopped by limit on number of solutions
% 8.44/8.67  
% 8.44/8.67  Stopped by limit on insertions
% 8.44/8.67  
% 8.44/8.67  Model 4 [ 1 1 468 ] (0.00 seconds, 250000 Inserts)
% 8.44/8.67  
% 8.44/8.67  Model 5 (0.00 seconds, 250000 Inserts)
% 8.44/8.67  
% 8.44/8.67  Stopped by limit on number of solutions
% 8.44/8.67  
% 8.44/8.67  Stopped by limit on insertions
% 8.44/8.67  
% 8.44/8.67  Model 6 [ 1 0 170 ] (0.00 seconds, 250000 Inserts)
% 8.44/8.67  
% 8.44/8.67  Model 7 [ 1 0 236 ] (0.00 seconds, 213395 Inserts)
% 8.44/8.67  
% 8.44/8.67  Model 8 [ 1 1 34 ] (0.00 seconds, 207067 Inserts)
% 8.44/8.67  
% 8.44/8.67  Model 9 [ 1 211 223742 ] (0.00 seconds, 228406 Inserts)
% 8.44/8.67  
% 8.44/8.67  ----> UNIT CONFLICT at   8.27 sec ----> 288 [binary,287.1,2.1] {-} $F.
% 8.44/8.67  
% 8.44/8.67  Length of proof is 14.  Level of proof is 7.
% 8.44/8.67  
% 8.44/8.67  ---------------- PROOF ----------------
% 8.44/8.67  % SZS status Unsatisfiable
% 8.44/8.67  % SZS output start Refutation
% 8.44/8.67  
% 8.44/8.67  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 8.44/8.67  2 [] {+} -is_a_theorem(implies(a,implies(not(a),b))).
% 8.44/8.67  3 [] {+} is_a_theorem(implies(A,implies(B,A))).
% 8.44/8.67  4 [] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))).
% 8.44/8.67  5 [] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))).
% 8.44/8.67  7 [hyper,5,1,3] {-} is_a_theorem(implies(A,implies(implies(not(B),not(C)),implies(C,B)))).
% 8.44/8.67  9 [hyper,4,1,4] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(A,B)),implies(implies(A,implies(B,C)),implies(A,C)))).
% 8.44/8.67  11 [hyper,4,1,7] {-} is_a_theorem(implies(implies(A,implies(not(B),not(C))),implies(A,implies(C,B)))).
% 8.44/8.67  13 [hyper,4,1,3] {+} is_a_theorem(implies(implies(A,B),implies(A,A))).
% 8.44/8.67  16 [hyper,13,1,7] {+} is_a_theorem(implies(A,A)).
% 8.44/8.67  24 [hyper,11,1,3] {+} is_a_theorem(implies(not(A),implies(A,B))).
% 8.44/8.67  26 [hyper,16,1,3] {+} is_a_theorem(implies(A,implies(B,B))).
% 8.44/8.67  27 [hyper,24,1,11] {+} is_a_theorem(implies(not(not(A)),implies(B,A))).
% 8.44/8.67  29 [hyper,24,1,3] {-} is_a_theorem(implies(A,implies(not(B),implies(B,C)))).
% 8.44/8.67  45 [hyper,26,1,9] {+} is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))).
% 8.44/8.67  76 [hyper,29,1,4] {-} is_a_theorem(implies(implies(A,not(B)),implies(A,implies(B,C)))).
% 8.44/8.67  279 [hyper,45,1,27] {+} is_a_theorem(implies(not(not(A)),A)).
% 8.44/8.67  283 [hyper,279,1,5] {+} is_a_theorem(implies(A,not(not(A)))).
% 8.44/8.67  287 [hyper,283,1,76] {-} is_a_theorem(implies(A,implies(not(A),B))).
% 8.44/8.67  288 [binary,287.1,2.1] {-} $F.
% 8.44/8.67  
% 8.44/8.67  % SZS output end Refutation
% 8.44/8.67  ------------ end of proof -------------
% 8.44/8.67  
% 8.44/8.67  
% 8.44/8.67  Search stopped by max_proofs option.
% 8.44/8.67  
% 8.44/8.67  
% 8.44/8.67  Search stopped by max_proofs option.
% 8.44/8.67  
% 8.44/8.67  ============ end of search ============
% 8.44/8.67  
% 8.44/8.67  ----------- soft-scott stats ----------
% 8.44/8.67  
% 8.44/8.67  true clauses given          11      (20.0%)
% 8.44/8.67  false clauses given         44
% 8.44/8.67  
% 8.44/8.67        FALSE     TRUE
% 8.44/8.67     6  0         1
% 8.44/8.67     7  0         1
% 8.44/8.67     8  0         2
% 8.44/8.67    10  0         8
% 8.44/8.67    11  6         3
% 8.44/8.67    12  12        20
% 8.44/8.67    13  23        8
% 8.44/8.67    14  10        14
% 8.44/8.67    15  15        2
% 8.44/8.67    16  8         7
% 8.44/8.67    17  5         1
% 8.44/8.67    18  13        6
% 8.44/8.67    19  4         0
% 8.44/8.67    20  9         5
% 8.44/8.67    22  1         2
% 8.44/8.67    23  2         1
% 8.44/8.67    24  6         5
% 8.44/8.67    26  5         1
% 8.44/8.67    30  1         0
% 8.44/8.67    32  2         2
% 8.44/8.67    34  0         3
% 8.44/8.67    36  1         0
% 8.44/8.67    46  0         1
% 8.44/8.67    50  0         1
% 8.44/8.67  tot:  123       94      (43.3% true)
% 8.44/8.67  
% 8.44/8.67  
% 8.44/8.67  Model 9 [ 1 211 223742 ] (0.00 seconds, 228406 Inserts)
% 8.44/8.67  
% 8.44/8.67  That finishes the proof of the theorem.
% 8.44/8.67  
% 8.44/8.67  Process 21448 finished Sat Jul  2 13:48:31 2022
%------------------------------------------------------------------------------