TSTP Solution File: LCL127-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL127-1 : 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 14:28:06 EDT 2022

% Result   : Unsatisfiable 45.86s 46.06s
% Output   : Refutation 45.86s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : LCL127-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.14  % Command  : sos-script %s
% 0.13/0.34  % Computer : n004.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 : Sun Jul  3 08:26:23 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.36  ----- Otter 3.2, August 2001 -----
% 0.20/0.36  The process was started by sandbox2 on n004.cluster.edu,
% 0.20/0.36  Sun Jul  3 08:26:23 2022
% 0.20/0.36  The command was "./sos".  The process ID is 20742.
% 0.20/0.36  
% 0.20/0.36  set(prolog_style_variables).
% 0.20/0.36  set(auto).
% 0.20/0.36     dependent: set(auto1).
% 0.20/0.36     dependent: set(process_input).
% 0.20/0.36     dependent: clear(print_kept).
% 0.20/0.36     dependent: clear(print_new_demod).
% 0.20/0.36     dependent: clear(print_back_demod).
% 0.20/0.36     dependent: clear(print_back_sub).
% 0.20/0.36     dependent: set(control_memory).
% 0.20/0.36     dependent: assign(max_mem, 12000).
% 0.20/0.36     dependent: assign(pick_given_ratio, 4).
% 0.20/0.36     dependent: assign(stats_level, 1).
% 0.20/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.36     dependent: assign(sos_limit, 5000).
% 0.20/0.36     dependent: assign(max_weight, 60).
% 0.20/0.36  clear(print_given).
% 0.20/0.36  
% 0.20/0.36  list(usable).
% 0.20/0.36  
% 0.20/0.36  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.20/0.36  
% 0.20/0.36  This is a Horn set without equality.  The strategy will
% 0.20/0.36  be hyperresolution, with satellites in sos and nuclei
% 0.20/0.36  in usable.
% 0.20/0.36  
% 0.20/0.36     dependent: set(hyper_res).
% 0.20/0.36     dependent: clear(order_hyper).
% 0.20/0.36  
% 0.20/0.36  ------------> process usable:
% 0.20/0.36  
% 0.20/0.36  ------------> process sos:
% 0.20/0.36  
% 0.20/0.36  ======= 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: 3
% 0.20/0.39  percentage of clauses intially in UL: 66
% 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: 6
% 0.20/0.39     distinct predicate count: 1
% 0.20/0.39     distinct function count: 1
% 0.20/0.39     distinct constant count: 4
% 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 ===========
% 5.10/5.27  
% 5.10/5.27  
% 5.10/5.27  Changing weight limit from 60 to 52.
% 5.10/5.27  
% 5.10/5.27  Model 2 (0.00 seconds, 0 Inserts)
% 5.10/5.27  
% 5.10/5.27  Stopped by limit on number of solutions
% 5.10/5.27  
% 5.10/5.27  Model 3 (0.00 seconds, 0 Inserts)
% 5.10/5.27  
% 5.10/5.27  Stopped by limit on number of solutions
% 5.10/5.27  
% 5.10/5.27  Resetting weight limit to 52 after 90 givens.
% 5.10/5.27  
% 31.03/31.19  
% 31.03/31.19  
% 31.03/31.19  Changing weight limit from 52 to 48.
% 31.03/31.19  
% 31.03/31.19  Modelling stopped after 300 given clauses and 0.00 seconds
% 31.03/31.19  
% 31.03/31.19  
% 31.03/31.19  Resetting weight limit to 48 after 325 givens.
% 31.03/31.19  
% 32.49/32.70  
% 32.49/32.70  
% 32.49/32.70  Changing weight limit from 48 to 32.
% 32.49/32.70  
% 32.49/32.70  Resetting weight limit to 32 after 330 givens.
% 32.49/32.70  
% 32.72/32.90  
% 32.72/32.90  
% 32.72/32.90  Changing weight limit from 32 to 28.
% 32.72/32.90  
% 32.72/32.90  Resetting weight limit to 28 after 335 givens.
% 32.72/32.90  
% 45.69/45.87  
% 45.69/45.87  
% 45.69/45.87  Changing weight limit from 28 to 24.
% 45.69/45.87  
% 45.69/45.87  Resetting weight limit to 24 after 630 givens.
% 45.69/45.87  
% 45.86/46.06  
% 45.86/46.06  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 45.86/46.06  
% 45.86/46.06  ----> UNIT CONFLICT at  45.51 sec ----> 118890 [binary,118889.1,2.1] {-} $F.
% 45.86/46.06  
% 45.86/46.06  Length of proof is 33.  Level of proof is 19.
% 45.86/46.06  
% 45.86/46.06  ---------------- PROOF ----------------
% 45.86/46.06  % SZS status Unsatisfiable
% 45.86/46.06  % SZS output start Refutation
% 45.86/46.06  
% 45.86/46.06  1 [] {+} -is_a_theorem(equivalent(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 45.86/46.06  2 [] {+} -is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))).
% 45.86/46.06  3 [] {-} is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(A,equivalent(equivalent(B,D),equivalent(C,D))))).
% 45.86/46.06  4 [hyper,3,1,3] {-} is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(A,D),equivalent(equivalent(equivalent(B,E),equivalent(C,E)),D)))).
% 45.86/46.06  7 [hyper,4,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),D),equivalent(equivalent(equivalent(A,E),equivalent(equivalent(equivalent(B,F),equivalent(C,F)),E)),D))).
% 45.86/46.06  18 [hyper,7,1,4] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,D),equivalent(E,D)),B)),equivalent(equivalent(A,F),equivalent(equivalent(equivalent(C,G),equivalent(E,G)),F)))).
% 45.86/46.06  19 [hyper,7,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,D),equivalent(E,D)),B)),equivalent(A,equivalent(equivalent(C,F),equivalent(E,F))))).
% 45.86/46.06  72 [hyper,18,1,19] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,B)),equivalent(equivalent(A,D),equivalent(C,D)))).
% 45.86/46.06  73 [hyper,18,1,18] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(C,B)),D),equivalent(equivalent(equivalent(A,E),equivalent(C,E)),D))).
% 45.86/46.06  102 [hyper,72,1,72] {+} is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(equivalent(A,B),C))).
% 45.86/46.06  119 [hyper,102,1,4] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),C),D),equivalent(equivalent(equivalent(equivalent(A,B),E),equivalent(C,E)),D))).
% 45.86/46.06  120 [hyper,102,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(equivalent(equivalent(A,B),D),equivalent(C,D)))).
% 45.86/46.06  130 [hyper,120,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),D),equivalent(equivalent(A,equivalent(equivalent(B,E),equivalent(C,E))),D))).
% 45.86/46.06  149 [hyper,73,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,B)),equivalent(equivalent(A,D),equivalent(equivalent(C,E),equivalent(D,E))))).
% 45.86/46.06  196 [hyper,119,1,102] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),C),equivalent(D,C)),equivalent(equivalent(A,B),D))).
% 45.86/46.06  217 [hyper,196,1,102] {+} is_a_theorem(equivalent(equivalent(A,B),equivalent(A,B))).
% 45.86/46.06  332 [hyper,217,1,149] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,C),equivalent(B,C)))).
% 45.86/46.06  333 [hyper,217,1,130] {-} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(D,C))),equivalent(A,equivalent(B,D)))).
% 45.86/46.06  365 [hyper,332,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(A,C),D),equivalent(equivalent(B,C),D)))).
% 45.86/46.06  366 [hyper,333,1,333] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,D),equivalent(B,D))),equivalent(A,C))).
% 45.86/46.06  380 [hyper,333,1,217] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,B)),equivalent(A,C))).
% 45.86/46.06  387 [hyper,333,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(D,B)),equivalent(A,equivalent(D,C)))).
% 45.86/46.06  388 [hyper,380,1,332] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(C,B)),D),equivalent(equivalent(A,C),D))).
% 45.86/46.06  395 [hyper,380,1,217] {+} is_a_theorem(equivalent(A,A)).
% 45.86/46.06  486 [hyper,366,1,3] {+} is_a_theorem(equivalent(equivalent(A,equivalent(B,B)),A)).
% 45.86/46.06  546 [hyper,486,1,332] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,B)),C),equivalent(A,C))).
% 45.86/46.06  608 [hyper,546,1,395] {+} is_a_theorem(equivalent(A,equivalent(A,equivalent(B,B)))).
% 45.86/46.06  629 [hyper,608,1,332] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,equivalent(C,C)),B))).
% 45.86/46.06  874 [hyper,629,1,333] {-} is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,C))),equivalent(A,B))).
% 45.86/46.06  1148 [hyper,387,1,874] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(C,B)),A)).
% 45.86/46.06  1182 [hyper,1148,1,365] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(C,B)),D),E),equivalent(equivalent(A,D),E))).
% 45.86/46.06  1185 [hyper,1148,1,332] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(C,B)),D),equivalent(A,D))).
% 45.86/46.06  1202 [hyper,1148,1,7] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(B,C)),D),equivalent(equivalent(equivalent(C,E),equivalent(B,E)),D)),A)).
% 45.86/46.06  9601 [hyper,1185,1,388] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),D),equivalent(A,equivalent(D,equivalent(C,B))))).
% 45.86/46.06  118800 [hyper,1202,1,1182] {-} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(D,C)),equivalent(B,D))),A)).
% 45.86/46.06  118889 [hyper,118800,1,9601] {-} is_a_theorem(equivalent(A,equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(B,D),equivalent(C,D)))))).
% 45.86/46.06  118890 [binary,118889.1,2.1] {-} $F.
% 45.86/46.06  
% 45.86/46.06  % SZS output end Refutation
% 45.86/46.06  ------------ end of proof -------------
% 45.86/46.06  
% 45.86/46.06  
% 45.86/46.06  Search stopped by max_proofs option.
% 45.86/46.06  
% 45.86/46.06  
% 45.86/46.06  Search stopped by max_proofs option.
% 45.86/46.06  
% 45.86/46.06  ============ end of search ============
% 45.86/46.06  
% 45.86/46.06  ----------- soft-scott stats ----------
% 45.86/46.06  
% 45.86/46.06  true clauses given          61      (9.5%)
% 45.86/46.06  false clauses given        578
% 45.86/46.06  
% 45.86/46.06        FALSE     TRUE
% 45.86/46.06    16  0         43
% 45.86/46.06    20  2532      457
% 45.86/46.06    24  559       2018
% 45.86/46.06  tot:  3091      2518      (44.9% true)
% 45.86/46.06  
% 45.86/46.06  
% 45.86/46.06  Model 3 (0.00 seconds, 0 Inserts)
% 45.86/46.06  
% 45.86/46.06  That finishes the proof of the theorem.
% 45.86/46.06  
% 45.86/46.06  Process 20742 finished Sun Jul  3 08:27:08 2022
%------------------------------------------------------------------------------