TSTP Solution File: LCL398-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL398-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n011.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 14:29:55 EDT 2022

% Result   : Unsatisfiable 1.04s 1.25s
% Output   : Refutation 1.04s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL398-1 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jul  2 23:06:20 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  ----- Otter 3.2, August 2001 -----
% 0.12/0.35  The process was started by sandbox on n011.cluster.edu,
% 0.12/0.35  Sat Jul  2 23:06:20 2022
% 0.12/0.35  The command was "./sos".  The process ID is 4004.
% 0.12/0.35  
% 0.12/0.35  set(prolog_style_variables).
% 0.12/0.35  set(auto).
% 0.12/0.35     dependent: set(auto1).
% 0.12/0.35     dependent: set(process_input).
% 0.12/0.35     dependent: clear(print_kept).
% 0.12/0.35     dependent: clear(print_new_demod).
% 0.12/0.35     dependent: clear(print_back_demod).
% 0.12/0.35     dependent: clear(print_back_sub).
% 0.12/0.35     dependent: set(control_memory).
% 0.12/0.35     dependent: assign(max_mem, 12000).
% 0.12/0.35     dependent: assign(pick_given_ratio, 4).
% 0.12/0.35     dependent: assign(stats_level, 1).
% 0.12/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35     dependent: assign(sos_limit, 5000).
% 0.12/0.35     dependent: assign(max_weight, 60).
% 0.12/0.35  clear(print_given).
% 0.12/0.35  
% 0.12/0.35  list(usable).
% 0.12/0.35  
% 0.12/0.35  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.12/0.35  
% 0.12/0.35  This is a Horn set without equality.  The strategy will
% 0.12/0.35  be hyperresolution, with satellites in sos and nuclei
% 0.12/0.35  in usable.
% 0.12/0.35  
% 0.12/0.35     dependent: set(hyper_res).
% 0.12/0.35     dependent: clear(order_hyper).
% 0.12/0.35  
% 0.12/0.35  ------------> process usable:
% 0.12/0.35  
% 0.12/0.35  ------------> process sos:
% 0.12/0.35  
% 0.12/0.35  ======= end of input processing =======
% 0.19/0.39  
% 0.19/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.39  
% 0.19/0.39  Stopped by limit on number of solutions
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  -------------- Softie stats --------------
% 0.19/0.39  
% 0.19/0.39  UPDATE_STOP: 300
% 0.19/0.39  SFINDER_TIME_LIMIT: 2
% 0.19/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.39  number of clauses in intial UL: 2
% 0.19/0.39  number of clauses initially in problem: 5
% 0.19/0.39  percentage of clauses intially in UL: 40
% 0.19/0.39  percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.39  percent of all initial clauses that are short: 100
% 0.19/0.39  absolute distinct symbol count: 5
% 0.19/0.39     distinct predicate count: 1
% 0.19/0.39     distinct function count: 2
% 0.19/0.39     distinct constant count: 2
% 0.19/0.39  
% 0.19/0.39  ---------- no more Softie stats ----------
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  =========== start of search ===========
% 1.04/1.25  
% 1.04/1.25  -------- PROOF -------- 
% 1.04/1.25  % SZS status Unsatisfiable
% 1.04/1.25  % SZS output start Refutation
% 1.04/1.25  
% 1.04/1.25  Model 2 (0.00 seconds, 0 Inserts)
% 1.04/1.25  
% 1.04/1.25  Stopped by limit on number of solutions
% 1.04/1.25  
% 1.04/1.25  Model 3 (0.00 seconds, 0 Inserts)
% 1.04/1.25  
% 1.04/1.25  Stopped by limit on number of solutions
% 1.04/1.25  
% 1.04/1.25  Stopped by limit on insertions
% 1.04/1.25  
% 1.04/1.25  Model 4 [ 1 1 67 ] (0.00 seconds, 250000 Inserts)
% 1.04/1.25  
% 1.04/1.25  ----> UNIT CONFLICT at   0.85 sec ----> 37 [binary,36.1,2.1] {-} $F.
% 1.04/1.25  
% 1.04/1.25  Length of proof is 3.  Level of proof is 3.
% 1.04/1.25  
% 1.04/1.25  ---------------- PROOF ----------------
% 1.04/1.25  % SZS status Unsatisfiable
% 1.04/1.25  % SZS output start Refutation
% 1.04/1.25  
% 1.04/1.25  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 1.04/1.25  2 [] {+} -is_a_theorem(implies(not(implies(x,x)),y)).
% 1.04/1.25  3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 1.04/1.25  4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 1.04/1.25  5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 1.04/1.25  9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 1.04/1.25  34 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 1.04/1.25  36 [hyper,34,1,5] {-} is_a_theorem(implies(not(implies(A,A)),B)).
% 1.04/1.25  37 [binary,36.1,2.1] {-} $F.
% 1.04/1.25  
% 1.04/1.25  % SZS output end Refutation
% 1.04/1.25  ------------ end of proof -------------
% 1.04/1.25  
% 1.04/1.25  
% 1.04/1.25  Search stopped by max_proofs option.
% 1.04/1.25  
% 1.04/1.25  
% 1.04/1.25  Search stopped by max_proofs option.
% 1.04/1.25  
% 1.04/1.25  ============ end of search ============
% 1.04/1.25  
% 1.04/1.25  ----------- soft-scott stats ----------
% 1.04/1.25  
% 1.04/1.25  true clauses given           1      (12.5%)
% 1.04/1.25  false clauses given          7
% 1.04/1.25  
% 1.04/1.25        FALSE     TRUE
% 1.04/1.25    10  3         0
% 1.04/1.25    11  3         0
% 1.04/1.25    13  1         1
% 1.04/1.25    14  3         0
% 1.04/1.25    15  3         1
% 1.04/1.25    16  2         1
% 1.04/1.25    17  2         0
% 1.04/1.25    19  3         0
% 1.04/1.25    20  1         0
% 1.04/1.25    27  1         0
% 1.04/1.25  tot:  22        3      (12.0% true)
% 1.04/1.25  
% 1.04/1.25  
% 1.04/1.25  Model 4 [ 1 1 67 ] (0.00 seconds, 250000 Inserts)
% 1.04/1.25  
% 1.04/1.25  That finishes the proof of the theorem.
% 1.04/1.25  
% 1.04/1.25  Process 4004 finished Sat Jul  2 23:06:21 2022
%------------------------------------------------------------------------------