TSTP Solution File: LCL257-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL257-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n020.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 14:29:11 EDT 2022

% Result   : Unsatisfiable 21.35s 21.54s
% Output   : Refutation 21.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL257-1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.14/0.34  % Computer : n020.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 : Sat Jul  2 16:43:30 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.36  ----- Otter 3.2, August 2001 -----
% 0.14/0.36  The process was started by sandbox2 on n020.cluster.edu,
% 0.14/0.36  Sat Jul  2 16:43:30 2022
% 0.14/0.36  The command was "./sos".  The process ID is 14981.
% 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 =======
% 0.14/0.38  
% 0.14/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.14/0.38  
% 0.14/0.38  Stopped by limit on number of solutions
% 0.14/0.38  
% 0.14/0.38  
% 0.14/0.38  -------------- Softie stats --------------
% 0.14/0.38  
% 0.14/0.38  UPDATE_STOP: 300
% 0.14/0.38  SFINDER_TIME_LIMIT: 2
% 0.14/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.14/0.38  number of clauses in intial UL: 2
% 0.14/0.38  number of clauses initially in problem: 3
% 0.14/0.38  percentage of clauses intially in UL: 66
% 0.14/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.14/0.38  percent of all initial clauses that are short: 100
% 0.14/0.38  absolute distinct symbol count: 5
% 0.14/0.38     distinct predicate count: 1
% 0.14/0.38     distinct function count: 1
% 0.14/0.38     distinct constant count: 3
% 0.14/0.38  
% 0.14/0.38  ---------- no more Softie stats ----------
% 0.14/0.38  
% 0.14/0.38  
% 0.14/0.38  
% 0.14/0.38  =========== start of search ===========
% 21.35/21.54  
% 21.35/21.54  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 21.35/21.54  
% 21.35/21.54  Model 2 (0.00 seconds, 0 Inserts)
% 21.35/21.54  
% 21.35/21.54  Stopped by limit on number of solutions
% 21.35/21.54  
% 21.35/21.54  Model 3 [ 1 425 220289 ] (0.00 seconds, 222688 Inserts)
% 21.35/21.54  
% 21.35/21.54  Model 4 [ 1 0 1016 ] (0.00 seconds, 217728 Inserts)
% 21.35/21.54  
% 21.35/21.54  Model 5 [ 3 0 678 ] (0.00 seconds, 214928 Inserts)
% 21.35/21.54  
% 21.35/21.54  ----> UNIT CONFLICT at  21.15 sec ----> 98 [binary,97.1,2.1] {+} $F.
% 21.35/21.54  
% 21.35/21.54  Length of proof is 8.  Level of proof is 6.
% 21.35/21.54  
% 21.35/21.54  ---------------- PROOF ----------------
% 21.35/21.54  % SZS status Unsatisfiable
% 21.35/21.54  % SZS output start Refutation
% 21.35/21.54  
% 21.35/21.54  1 [] {+} -is_a_theorem(equivalent(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 21.35/21.54  2 [] {+} -is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))).
% 21.35/21.54  3 [] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,B),equivalent(A,C)))).
% 21.35/21.54  4 [hyper,3,1,3] {-} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(D,B))),equivalent(equivalent(D,C),A))).
% 21.35/21.54  7 [hyper,4,1,3] {+} is_a_theorem(equivalent(equivalent(A,B),equivalent(A,B))).
% 21.35/21.54  8 [hyper,7,1,3] {-} is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(B,C),A))).
% 21.35/21.54  10 [hyper,8,1,4] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,C),equivalent(C,B)))).
% 21.35/21.54  12 [hyper,8,1,4] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(C,equivalent(equivalent(D,B),equivalent(A,D))))).
% 21.35/21.54  13 [hyper,8,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,A)),equivalent(C,B))).
% 21.35/21.54  37 [hyper,13,1,10] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),A),B)).
% 21.35/21.54  97 [hyper,12,1,37] {-} is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,A),B)))).
% 21.35/21.54  98 [binary,97.1,2.1] {+} $F.
% 21.35/21.54  
% 21.35/21.54  % SZS output end Refutation
% 21.35/21.54  ------------ end of proof -------------
% 21.35/21.54  
% 21.35/21.54  
% 21.35/21.54  Search stopped by max_proofs option.
% 21.35/21.54  
% 21.35/21.54  
% 21.35/21.54  Search stopped by max_proofs option.
% 21.35/21.54  
% 21.35/21.54  ============ end of search ============
% 21.35/21.54  
% 21.35/21.54  ----------- soft-scott stats ----------
% 21.35/21.54  
% 21.35/21.54  true clauses given           1      (6.2%)
% 21.35/21.54  false clauses given         15
% 21.35/21.54  
% 21.35/21.54        FALSE     TRUE
% 21.35/21.54     8  1         2
% 21.35/21.54    12  16        4
% 21.35/21.54    16  19        0
% 21.35/21.54    20  14        0
% 21.35/21.54    24  6         0
% 21.35/21.54    28  1         0
% 21.35/21.54  tot:  57        6      (9.5% true)
% 21.35/21.54  
% 21.35/21.54  
% 21.35/21.54  Model 5 [ 3 0 678 ] (0.00 seconds, 214928 Inserts)
% 21.35/21.54  
% 21.35/21.54  That finishes the proof of the theorem.
% 21.35/21.54  
% 21.35/21.54  Process 14981 finished Sat Jul  2 16:43:51 2022
%------------------------------------------------------------------------------