TSTP Solution File: LCL110-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL110-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n026.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 14:27:59 EDT 2022

% Result   : Unsatisfiable 0.19s 0.41s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : LCL110-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul  3 18:41:06 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.36  ----- Otter 3.2, August 2001 -----
% 0.12/0.36  The process was started by sandbox2 on n026.cluster.edu,
% 0.12/0.36  Sun Jul  3 18:41:06 2022
% 0.12/0.36  The command was "./sos".  The process ID is 19861.
% 0.12/0.36  
% 0.12/0.36  set(prolog_style_variables).
% 0.12/0.36  set(auto).
% 0.12/0.36     dependent: set(auto1).
% 0.12/0.36     dependent: set(process_input).
% 0.12/0.36     dependent: clear(print_kept).
% 0.12/0.36     dependent: clear(print_new_demod).
% 0.12/0.36     dependent: clear(print_back_demod).
% 0.12/0.36     dependent: clear(print_back_sub).
% 0.12/0.36     dependent: set(control_memory).
% 0.12/0.36     dependent: assign(max_mem, 12000).
% 0.12/0.36     dependent: assign(pick_given_ratio, 4).
% 0.12/0.36     dependent: assign(stats_level, 1).
% 0.12/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36     dependent: assign(sos_limit, 5000).
% 0.12/0.36     dependent: assign(max_weight, 60).
% 0.12/0.36  clear(print_given).
% 0.12/0.36  
% 0.12/0.36  list(usable).
% 0.12/0.36  
% 0.12/0.36  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.12/0.36  
% 0.12/0.36  This is a Horn set without equality.  The strategy will
% 0.12/0.36  be hyperresolution, with satellites in sos and nuclei
% 0.12/0.36  in usable.
% 0.12/0.36  
% 0.12/0.36     dependent: set(hyper_res).
% 0.12/0.36     dependent: clear(order_hyper).
% 0.12/0.36  
% 0.12/0.36  ------------> process usable:
% 0.12/0.36  
% 0.12/0.36  ------------> process sos:
% 0.12/0.36  
% 0.12/0.36  ======= 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: 6
% 0.19/0.39  percentage of clauses intially in UL: 33
% 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: 4
% 0.19/0.39     distinct predicate count: 1
% 0.19/0.39     distinct function count: 2
% 0.19/0.39     distinct constant count: 1
% 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  Model 2 (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  =========== start of search ===========
% 0.19/0.41  
% 0.19/0.41  -------- PROOF -------- 
% 0.19/0.41  % SZS status Unsatisfiable
% 0.19/0.41  % SZS output start Refutation
% 0.19/0.41  
% 0.19/0.41  Model 3 (0.00 seconds, 0 Inserts)
% 0.19/0.41  
% 0.19/0.41  Stopped by limit on number of solutions
% 0.19/0.41  
% 0.19/0.41  ----> UNIT CONFLICT at   0.03 sec ----> 143 [binary,142.1,2.1] {-} $F.
% 0.19/0.41  
% 0.19/0.41  Length of proof is 8.  Level of proof is 5.
% 0.19/0.41  
% 0.19/0.41  ---------------- PROOF ----------------
% 0.19/0.41  % SZS status Unsatisfiable
% 0.19/0.41  % SZS output start Refutation
% 0.19/0.41  
% 0.19/0.41  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 0.19/0.41  2 [] {+} -is_a_theorem(implies(not(not(a)),a)).
% 0.19/0.41  3 [] {+} is_a_theorem(implies(A,implies(B,A))).
% 0.19/0.41  4 [] {+} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 0.19/0.41  5 [] {+} is_a_theorem(implies(implies(implies(A,B),B),implies(implies(B,A),A))).
% 0.19/0.41  6 [] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))).
% 0.19/0.41  17 [hyper,4,1,6] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(not(B),not(A)),C))).
% 0.19/0.41  18 [hyper,4,1,3] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 0.19/0.41  22 [hyper,17,1,6] {-} is_a_theorem(implies(implies(not(not(A)),not(not(B))),implies(A,B))).
% 0.19/0.41  47 [hyper,18,1,22] {-} is_a_theorem(implies(not(not(A)),implies(B,A))).
% 0.19/0.41  49 [hyper,18,1,5] {+} is_a_theorem(implies(A,implies(implies(A,B),B))).
% 0.19/0.41  54 [hyper,47,1,4] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(not(not(B)),C))).
% 0.19/0.41  65 [hyper,49,1,47] {-} is_a_theorem(implies(implies(implies(not(not(A)),implies(B,A)),C),C)).
% 0.19/0.41  142 [hyper,65,1,54] {-} is_a_theorem(implies(not(not(A)),A)).
% 0.19/0.41  143 [binary,142.1,2.1] {-} $F.
% 0.19/0.41  
% 0.19/0.41  % SZS output end Refutation
% 0.19/0.41  ------------ end of proof -------------
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  Search stopped by max_proofs option.
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  Search stopped by max_proofs option.
% 0.19/0.41  
% 0.19/0.41  ============ end of search ============
% 0.19/0.41  
% 0.19/0.41  ----------- soft-scott stats ----------
% 0.19/0.41  
% 0.19/0.41  true clauses given           9      (33.3%)
% 0.19/0.41  false clauses given         18
% 0.19/0.41  
% 0.19/0.41        FALSE     TRUE
% 0.19/0.41     9  0         4
% 0.19/0.41    10  0         6
% 0.19/0.41    11  0         5
% 0.19/0.41    12  7         10
% 0.19/0.41    14  26        7
% 0.19/0.41    16  21        6
% 0.19/0.41    18  10        4
% 0.19/0.41    20  3         3
% 0.19/0.41  tot:  67        45      (40.2% true)
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  Model 3 (0.00 seconds, 0 Inserts)
% 0.19/0.41  
% 0.19/0.41  That finishes the proof of the theorem.
% 0.19/0.41  
% 0.19/0.41  Process 19861 finished Sun Jul  3 18:41:06 2022
%------------------------------------------------------------------------------