TSTP Solution File: LCL023-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL023-1 : TPTP v8.1.0. Released v1.0.0.
% 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 14:27:25 EDT 2022

% Result   : Unsatisfiable 38.04s 38.28s
% Output   : Refutation 38.04s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL023-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13  % Command  : sos-script %s
% 0.14/0.35  % Computer : n020.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 19:03:30 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 n020.cluster.edu,
% 0.14/0.37  Sat Jul  2 19:03:30 2022
% 0.14/0.37  The command was "./sos".  The process ID is 13991.
% 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 =======
% 0.14/0.39  
% 0.14/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.14/0.39  
% 0.14/0.39  Stopped by limit on number of solutions
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  -------------- Softie stats --------------
% 0.14/0.39  
% 0.14/0.39  UPDATE_STOP: 300
% 0.14/0.39  SFINDER_TIME_LIMIT: 2
% 0.14/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.14/0.39  number of clauses in intial UL: 2
% 0.14/0.39  number of clauses initially in problem: 3
% 0.14/0.39  percentage of clauses intially in UL: 66
% 0.14/0.39  percentage of distinct symbols occuring in initial UL: 100
% 0.14/0.39  percent of all initial clauses that are short: 100
% 0.14/0.39  absolute distinct symbol count: 5
% 0.14/0.39     distinct predicate count: 1
% 0.14/0.39     distinct function count: 1
% 0.14/0.39     distinct constant count: 3
% 0.14/0.39  
% 0.14/0.39  ---------- no more Softie stats ----------
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  =========== start of search ===========
% 38.04/38.28  
% 38.04/38.28  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 38.04/38.28  
% 38.04/38.28  Model 2 (0.00 seconds, 0 Inserts)
% 38.04/38.28  
% 38.04/38.28  Stopped by limit on number of solutions
% 38.04/38.28  
% 38.04/38.28  Model 3 [ 1 347 183134 ] (0.00 seconds, 185228 Inserts)
% 38.04/38.28  
% 38.04/38.28  Model 4 [ 1 1 571 ] (0.00 seconds, 164312 Inserts)
% 38.04/38.28  
% 38.04/38.28  Model 5 [ 3 1 1110 ] (0.00 seconds, 159354 Inserts)
% 38.04/38.28  
% 38.04/38.28  Model 6 [ 3 0 124 ] (0.00 seconds, 169889 Inserts)
% 38.04/38.28  
% 38.04/38.28  Model 7 [ 4 0 450 ] (0.00 seconds, 161400 Inserts)
% 38.04/38.28  
% 38.04/38.28  Model 8 [ 4 1 690 ] (0.00 seconds, 185341 Inserts)
% 38.04/38.28  
% 38.04/38.28  Model 9 [ 14 1 367 ] (0.00 seconds, 168099 Inserts)
% 38.04/38.28  
% 38.04/38.28  Model 10 [ 5 351 182969 ] (0.00 seconds, 185255 Inserts)
% 38.04/38.28  
% 38.04/38.28  Model 11 [ 14 352 168709 ] (0.00 seconds, 170117 Inserts)
% 38.04/38.28  
% 38.04/38.28  ----> UNIT CONFLICT at  37.89 sec ----> 987 [binary,986.1,2.1] {-} $F.
% 38.04/38.28  
% 38.04/38.28  Length of proof is 13.  Level of proof is 10.
% 38.04/38.28  
% 38.04/38.28  ---------------- PROOF ----------------
% 38.04/38.28  % SZS status Unsatisfiable
% 38.04/38.28  % SZS output start Refutation
% 38.04/38.28  
% 38.04/38.28  1 [] {+} -is_a_theorem(equivalent(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 38.04/38.28  2 [] {+} -is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))).
% 38.04/38.28  3 [] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,B),equivalent(A,C)))).
% 38.04/38.28  4 [hyper,3,1,3] {-} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(D,B))),equivalent(equivalent(D,C),A))).
% 38.04/38.28  7 [hyper,4,1,3] {+} is_a_theorem(equivalent(equivalent(A,B),equivalent(A,B))).
% 38.04/38.28  8 [hyper,7,1,3] {-} is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(B,C),A))).
% 38.04/38.28  9 [hyper,8,1,8] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(C,equivalent(A,B)))).
% 38.04/38.28  10 [hyper,8,1,4] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,C),equivalent(C,B)))).
% 38.04/38.28  13 [hyper,8,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,A)),equivalent(C,B))).
% 38.04/38.28  37 [hyper,13,1,10] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),A),B)).
% 38.04/38.28  38 [hyper,13,1,9] {+} is_a_theorem(equivalent(A,A)).
% 38.04/38.28  40 [hyper,38,1,10] {+} is_a_theorem(equivalent(equivalent(A,B),equivalent(B,A))).
% 38.04/38.28  60 [hyper,40,1,37] {-} is_a_theorem(equivalent(A,equivalent(equivalent(B,A),B))).
% 38.04/38.28  66 [hyper,60,1,13] {+} is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),B)).
% 38.04/38.28  88 [hyper,66,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,equivalent(C,B)),A))).
% 38.04/38.28  986 [hyper,88,1,4] {-} is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(A,B),C))).
% 38.04/38.28  987 [binary,986.1,2.1] {-} $F.
% 38.04/38.28  
% 38.04/38.28  % SZS output end Refutation
% 38.04/38.28  ------------ end of proof -------------
% 38.04/38.28  
% 38.04/38.28  
% 38.04/38.28  Search stopped by max_proofs option.
% 38.04/38.28  
% 38.04/38.28  
% 38.04/38.28  Search stopped by max_proofs option.
% 38.04/38.28  
% 38.04/38.28  ============ end of search ============
% 38.04/38.28  
% 38.04/38.28  ----------- soft-scott stats ----------
% 38.04/38.28  
% 38.04/38.28  true clauses given           4      (8.3%)
% 38.04/38.28  false clauses given         44
% 38.04/38.28  
% 38.04/38.28        FALSE     TRUE
% 38.04/38.28    12  179       45
% 38.04/38.28    16  350       0
% 38.04/38.28    20  164       0
% 38.04/38.28    24  118       0
% 38.04/38.28    28  40        0
% 38.04/38.28    32  8         0
% 38.04/38.28    36  4         0
% 38.04/38.28  tot:  863       45      (5.0% true)
% 38.04/38.28  
% 38.04/38.28  
% 38.04/38.28  Model 11 [ 14 352 168709 ] (0.00 seconds, 170117 Inserts)
% 38.04/38.28  
% 38.04/38.28  That finishes the proof of the theorem.
% 38.04/38.28  
% 38.04/38.28  Process 13991 finished Sat Jul  2 19:04:08 2022
%------------------------------------------------------------------------------