TSTP Solution File: LCL025-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL025-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n006.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 14:27:26 EDT 2022

% Result   : Unsatisfiable 20.08s 20.34s
% Output   : Refutation 20.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL025-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n006.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 16:58:52 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  ----- Otter 3.2, August 2001 -----
% 0.13/0.36  The process was started by sandbox on n006.cluster.edu,
% 0.13/0.36  Sat Jul  2 16:58:52 2022
% 0.13/0.36  The command was "./sos".  The process ID is 10231.
% 0.13/0.36  
% 0.13/0.36  set(prolog_style_variables).
% 0.13/0.36  set(auto).
% 0.13/0.36     dependent: set(auto1).
% 0.13/0.36     dependent: set(process_input).
% 0.13/0.36     dependent: clear(print_kept).
% 0.13/0.36     dependent: clear(print_new_demod).
% 0.13/0.36     dependent: clear(print_back_demod).
% 0.13/0.36     dependent: clear(print_back_sub).
% 0.13/0.36     dependent: set(control_memory).
% 0.13/0.36     dependent: assign(max_mem, 12000).
% 0.13/0.36     dependent: assign(pick_given_ratio, 4).
% 0.13/0.36     dependent: assign(stats_level, 1).
% 0.13/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36     dependent: assign(sos_limit, 5000).
% 0.13/0.36     dependent: assign(max_weight, 60).
% 0.13/0.36  clear(print_given).
% 0.13/0.36  
% 0.13/0.36  list(usable).
% 0.13/0.36  
% 0.13/0.36  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.13/0.36  
% 0.13/0.36  This is a Horn set without equality.  The strategy will
% 0.13/0.36  be hyperresolution, with satellites in sos and nuclei
% 0.13/0.36  in usable.
% 0.13/0.36  
% 0.13/0.36     dependent: set(hyper_res).
% 0.13/0.36     dependent: clear(order_hyper).
% 0.13/0.36  
% 0.13/0.36  ------------> process usable:
% 0.13/0.36  
% 0.13/0.36  ------------> process sos:
% 0.13/0.36  
% 0.13/0.36  ======= end of input processing =======
% 0.20/0.40  
% 0.20/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.40  
% 0.20/0.40  Stopped by limit on number of solutions
% 0.20/0.40  
% 0.20/0.40  
% 0.20/0.40  -------------- Softie stats --------------
% 0.20/0.40  
% 0.20/0.40  UPDATE_STOP: 300
% 0.20/0.40  SFINDER_TIME_LIMIT: 2
% 0.20/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.40  number of clauses in intial UL: 2
% 0.20/0.40  number of clauses initially in problem: 5
% 0.20/0.40  percentage of clauses intially in UL: 40
% 0.20/0.40  percentage of distinct symbols occuring in initial UL: 83
% 0.20/0.40  percent of all initial clauses that are short: 100
% 0.20/0.40  absolute distinct symbol count: 6
% 0.20/0.40     distinct predicate count: 1
% 0.20/0.40     distinct function count: 1
% 0.20/0.40     distinct constant count: 4
% 0.20/0.40  
% 0.20/0.40  ---------- no more Softie stats ----------
% 0.20/0.40  
% 0.20/0.40  
% 0.20/0.40  
% 0.20/0.40  Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.40  
% 0.20/0.40  Stopped by limit on number of solutions
% 0.20/0.40  
% 0.20/0.40  =========== start of search ===========
% 20.08/20.34  
% 20.08/20.34  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 20.08/20.34  
% 20.08/20.34  Model 3 (0.00 seconds, 0 Inserts)
% 20.08/20.34  
% 20.08/20.34  Stopped by limit on number of solutions
% 20.08/20.34  
% 20.08/20.34  Model 4 (0.00 seconds, 0 Inserts)
% 20.08/20.34  
% 20.08/20.34  Stopped by limit on number of solutions
% 20.08/20.34  
% 20.08/20.34  Model 5 [ 1 368 196181 ] (0.00 seconds, 201689 Inserts)
% 20.08/20.34  
% 20.08/20.34  Model 6 [ 2 394 189155 ] (0.00 seconds, 191596 Inserts)
% 20.08/20.34  
% 20.08/20.34  Model 7 [ 2 1 2294 ] (0.00 seconds, 191574 Inserts)
% 20.08/20.34  
% 20.08/20.34  Model 8 [ 3 393 189499 ] (0.00 seconds, 191895 Inserts)
% 20.08/20.34  
% 20.08/20.34  Model 9 [ 4 399 187661 ] (0.00 seconds, 192056 Inserts)
% 20.08/20.34  
% 20.08/20.34  ----> UNIT CONFLICT at  19.95 sec ----> 3062 [binary,3061.1,2.1] {-} $F.
% 20.08/20.34  
% 20.08/20.34  Length of proof is 11.  Level of proof is 7.
% 20.08/20.34  
% 20.08/20.34  ---------------- PROOF ----------------
% 20.08/20.34  % SZS status Unsatisfiable
% 20.08/20.34  % SZS output start Refutation
% 20.08/20.34  
% 20.08/20.34  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 20.08/20.34  2 [] {+} -is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))).
% 20.08/20.34  3 [] {+} is_a_theorem(implies(A,implies(B,A))).
% 20.08/20.34  5 [] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))).
% 20.08/20.34  6 [hyper,3,1,3] {+} is_a_theorem(implies(A,implies(B,implies(C,B)))).
% 20.08/20.34  12 [hyper,5,1,5] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(A,B)),implies(implies(A,implies(B,C)),implies(A,C)))).
% 20.08/20.34  13 [hyper,5,1,3] {-} is_a_theorem(implies(A,implies(implies(B,implies(C,D)),implies(implies(B,C),implies(B,D))))).
% 20.08/20.34  45 [hyper,12,1,6] {-} is_a_theorem(implies(implies(A,implies(implies(B,A),C)),implies(A,C))).
% 20.08/20.34  52 [hyper,45,1,3] {-} is_a_theorem(implies(A,implies(implies(B,implies(implies(C,B),D)),implies(B,D)))).
% 20.08/20.34  59 [hyper,13,1,45] {-} is_a_theorem(implies(implies(A,B),implies(implies(C,A),implies(C,B)))).
% 20.08/20.34  60 [hyper,13,1,12] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(implies(implies(A,B),implies(A,C)),D)),implies(implies(A,implies(B,C)),D))).
% 20.08/20.34  1064 [hyper,52,1,45] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 20.08/20.34  1081 [hyper,1064,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),D),implies(C,D)))).
% 20.08/20.34  2474 [hyper,1081,1,60] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))).
% 20.08/20.34  3061 [hyper,2474,1,59] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 20.08/20.34  3062 [binary,3061.1,2.1] {-} $F.
% 20.08/20.34  
% 20.08/20.34  % SZS output end Refutation
% 20.08/20.34  ------------ end of proof -------------
% 20.08/20.34  
% 20.08/20.34  
% 20.08/20.34  Search stopped by max_proofs option.
% 20.08/20.34  
% 20.08/20.34  
% 20.08/20.34  Search stopped by max_proofs option.
% 20.08/20.34  
% 20.08/20.34  ============ end of search ============
% 20.08/20.34  
% 20.08/20.34  ----------- soft-scott stats ----------
% 20.08/20.34  
% 20.08/20.34  true clauses given          31      (16.9%)
% 20.08/20.34  false clauses given        152
% 20.08/20.34  
% 20.08/20.34        FALSE     TRUE
% 20.08/20.34    12  0         57
% 20.08/20.34    14  167       155
% 20.08/20.34    16  375       261
% 20.08/20.34    18  430       221
% 20.08/20.34    20  274       115
% 20.08/20.34    22  124       92
% 20.08/20.34    24  58        58
% 20.08/20.34    26  52        48
% 20.08/20.34    28  46        30
% 20.08/20.34    30  17        19
% 20.08/20.34    32  16        23
% 20.08/20.34    34  12        18
% 20.08/20.34    36  8         15
% 20.08/20.34    38  7         6
% 20.08/20.34    40  1         3
% 20.08/20.34    42  0         3
% 20.08/20.34    44  1         3
% 20.08/20.34    46  2         2
% 20.08/20.34    48  0         3
% 20.08/20.34    50  1         2
% 20.08/20.34  tot:  1591      1134      (41.6% true)
% 20.08/20.34  
% 20.08/20.34  
% 20.08/20.34  Model 9 [ 4 399 187661 ] (0.00 seconds, 192056 Inserts)
% 20.08/20.34  
% 20.08/20.34  That finishes the proof of the theorem.
% 20.08/20.34  
% 20.08/20.34  Process 10231 finished Sat Jul  2 16:59:12 2022
%------------------------------------------------------------------------------