TSTP Solution File: LCL077-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL077-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n027.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 14:27:45 EDT 2022

% Result   : Unsatisfiable 0.10s 0.37s
% Output   : Refutation 0.10s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : LCL077-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.11  % Command  : sos-script %s
% 0.10/0.31  % Computer : n027.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 600
% 0.10/0.31  % DateTime : Sun Jul  3 12:52:55 EDT 2022
% 0.10/0.31  % CPUTime  : 
% 0.10/0.33  ----- Otter 3.2, August 2001 -----
% 0.10/0.33  The process was started by sandbox on n027.cluster.edu,
% 0.10/0.33  Sun Jul  3 12:52:55 2022
% 0.10/0.33  The command was "./sos".  The process ID is 5224.
% 0.10/0.33  
% 0.10/0.33  set(prolog_style_variables).
% 0.10/0.33  set(auto).
% 0.10/0.33     dependent: set(auto1).
% 0.10/0.33     dependent: set(process_input).
% 0.10/0.33     dependent: clear(print_kept).
% 0.10/0.33     dependent: clear(print_new_demod).
% 0.10/0.33     dependent: clear(print_back_demod).
% 0.10/0.33     dependent: clear(print_back_sub).
% 0.10/0.33     dependent: set(control_memory).
% 0.10/0.33     dependent: assign(max_mem, 12000).
% 0.10/0.33     dependent: assign(pick_given_ratio, 4).
% 0.10/0.33     dependent: assign(stats_level, 1).
% 0.10/0.33     dependent: assign(pick_semantic_ratio, 3).
% 0.10/0.33     dependent: assign(sos_limit, 5000).
% 0.10/0.33     dependent: assign(max_weight, 60).
% 0.10/0.33  clear(print_given).
% 0.10/0.33  
% 0.10/0.33  list(usable).
% 0.10/0.33  
% 0.10/0.33  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.10/0.33  
% 0.10/0.33  This is a Horn set without equality.  The strategy will
% 0.10/0.33  be hyperresolution, with satellites in sos and nuclei
% 0.10/0.33  in usable.
% 0.10/0.33  
% 0.10/0.33     dependent: set(hyper_res).
% 0.10/0.33     dependent: clear(order_hyper).
% 0.10/0.33  
% 0.10/0.33  ------------> process usable:
% 0.10/0.33  
% 0.10/0.33  ------------> process sos:
% 0.10/0.33  
% 0.10/0.33  ======= end of input processing =======
% 0.10/0.36  
% 0.10/0.36  Model 1 (0.00 seconds, 0 Inserts)
% 0.10/0.36  
% 0.10/0.36  Stopped by limit on number of solutions
% 0.10/0.36  
% 0.10/0.36  
% 0.10/0.36  -------------- Softie stats --------------
% 0.10/0.36  
% 0.10/0.36  UPDATE_STOP: 300
% 0.10/0.36  SFINDER_TIME_LIMIT: 2
% 0.10/0.36  SHORT_CLAUSE_CUTOFF: 4
% 0.10/0.36  number of clauses in intial UL: 2
% 0.10/0.36  number of clauses initially in problem: 5
% 0.10/0.36  percentage of clauses intially in UL: 40
% 0.10/0.36  percentage of distinct symbols occuring in initial UL: 100
% 0.10/0.36  percent of all initial clauses that are short: 100
% 0.10/0.36  absolute distinct symbol count: 4
% 0.10/0.36     distinct predicate count: 1
% 0.10/0.36     distinct function count: 2
% 0.10/0.36     distinct constant count: 1
% 0.10/0.36  
% 0.10/0.36  ---------- no more Softie stats ----------
% 0.10/0.36  
% 0.10/0.36  
% 0.10/0.36  
% 0.10/0.36  Model 2 (0.00 seconds, 0 Inserts)
% 0.10/0.36  
% 0.10/0.36  Stopped by limit on number of solutions
% 0.10/0.36  
% 0.10/0.36  =========== start of search ===========
% 0.10/0.37  
% 0.10/0.37  -------- PROOF -------- 
% 0.10/0.37  % SZS status Unsatisfiable
% 0.10/0.37  % SZS output start Refutation
% 0.10/0.37  
% 0.10/0.37  Model 3 (0.00 seconds, 0 Inserts)
% 0.10/0.37  
% 0.10/0.37  Stopped by limit on number of solutions
% 0.10/0.37  
% 0.10/0.37  ----> UNIT CONFLICT at   0.01 sec ----> 41 [binary,40.1,2.1] {+} $F.
% 0.10/0.37  
% 0.10/0.37  Length of proof is 7.  Level of proof is 6.
% 0.10/0.37  
% 0.10/0.37  ---------------- PROOF ----------------
% 0.10/0.37  % SZS status Unsatisfiable
% 0.10/0.37  % SZS output start Refutation
% 0.10/0.37  
% 0.10/0.37  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 0.10/0.37  2 [] {+} -is_a_theorem(implies(not(not(a)),a)).
% 0.10/0.37  3 [] {+} is_a_theorem(implies(A,implies(B,A))).
% 0.10/0.37  4 [] {+} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))).
% 0.10/0.37  5 [] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))).
% 0.10/0.37  7 [hyper,5,1,3] {-} is_a_theorem(implies(A,implies(implies(not(B),not(C)),implies(C,B)))).
% 0.10/0.37  13 [hyper,4,1,7] {-} is_a_theorem(implies(implies(A,implies(not(B),not(C))),implies(A,implies(C,B)))).
% 0.10/0.37  20 [hyper,13,1,3] {+} is_a_theorem(implies(not(A),implies(A,B))).
% 0.10/0.37  21 [hyper,20,1,13] {-} is_a_theorem(implies(not(not(A)),implies(B,A))).
% 0.10/0.37  25 [hyper,21,1,4] {-} is_a_theorem(implies(implies(not(not(A)),B),implies(not(not(A)),A))).
% 0.10/0.37  26 [hyper,21,1,3] {-} is_a_theorem(implies(A,implies(not(not(B)),implies(C,B)))).
% 0.10/0.37  40 [hyper,25,1,26] {-} is_a_theorem(implies(not(not(A)),A)).
% 0.10/0.37  41 [binary,40.1,2.1] {+} $F.
% 0.10/0.37  
% 0.10/0.37  % SZS output end Refutation
% 0.10/0.37  ------------ end of proof -------------
% 0.10/0.37  
% 0.10/0.37  
% 0.10/0.37  Search stopped by max_proofs option.
% 0.10/0.37  
% 0.10/0.37  
% 0.10/0.37  Search stopped by max_proofs option.
% 0.10/0.37  
% 0.10/0.37  ============ end of search ============
% 0.10/0.37  
% 0.10/0.37  ----------- soft-scott stats ----------
% 0.10/0.37  
% 0.10/0.37  true clauses given           3      (21.4%)
% 0.10/0.37  false clauses given         11
% 0.10/0.37  
% 0.10/0.37        FALSE     TRUE
% 0.10/0.37     4  0         1
% 0.10/0.37     9  0         3
% 0.10/0.37    10  0         4
% 0.10/0.37    12  2         0
% 0.10/0.37    14  2         0
% 0.10/0.37    16  2         1
% 0.10/0.37    18  1         0
% 0.10/0.37    20  1         1
% 0.10/0.37    22  1         0
% 0.10/0.37  tot:  9         10      (52.6% true)
% 0.10/0.37  
% 0.10/0.37  
% 0.10/0.37  Model 3 (0.00 seconds, 0 Inserts)
% 0.10/0.37  
% 0.10/0.37  That finishes the proof of the theorem.
% 0.10/0.37  
% 0.10/0.37  Process 5224 finished Sun Jul  3 12:52:55 2022
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