TSTP Solution File: LCL258-3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL258-3 : TPTP v8.1.0. Released v2.3.0.
% 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 14:29:11 EDT 2022

% Result   : Unsatisfiable 5.54s 5.75s
% Output   : Refutation 5.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : LCL258-3 : TPTP v8.1.0. Released v2.3.0.
% 0.13/0.14  % Command  : sos-script %s
% 0.14/0.35  % Computer : n026.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
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Mon Jul  4 08:32:21 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.38  ----- Otter 3.2, August 2001 -----
% 0.14/0.38  The process was started by sandbox2 on n026.cluster.edu,
% 0.14/0.38  Mon Jul  4 08:32:22 2022
% 0.14/0.38  The command was "./sos".  The process ID is 4970.
% 0.14/0.38  
% 0.14/0.38  set(prolog_style_variables).
% 0.14/0.38  set(auto).
% 0.14/0.38     dependent: set(auto1).
% 0.14/0.38     dependent: set(process_input).
% 0.14/0.38     dependent: clear(print_kept).
% 0.14/0.38     dependent: clear(print_new_demod).
% 0.14/0.38     dependent: clear(print_back_demod).
% 0.14/0.38     dependent: clear(print_back_sub).
% 0.14/0.38     dependent: set(control_memory).
% 0.14/0.38     dependent: assign(max_mem, 12000).
% 0.14/0.38     dependent: assign(pick_given_ratio, 4).
% 0.14/0.38     dependent: assign(stats_level, 1).
% 0.14/0.38     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.38     dependent: assign(sos_limit, 5000).
% 0.14/0.38     dependent: assign(max_weight, 60).
% 0.14/0.38  clear(print_given).
% 0.14/0.38  
% 0.14/0.38  list(usable).
% 0.14/0.38  
% 0.14/0.38  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.14/0.38  
% 0.14/0.38  This is a Horn set with equality.  The strategy will be
% 0.14/0.38  Knuth-Bendix and hyper_res, with positive clauses in
% 0.14/0.38  sos and nonpositive clauses in usable.
% 0.14/0.38  
% 0.14/0.38     dependent: set(knuth_bendix).
% 0.14/0.38     dependent: set(para_from).
% 0.14/0.38     dependent: set(para_into).
% 0.14/0.38     dependent: clear(para_from_right).
% 0.14/0.38     dependent: clear(para_into_right).
% 0.14/0.38     dependent: set(para_from_vars).
% 0.14/0.38     dependent: set(eq_units_both_ways).
% 0.14/0.38     dependent: set(dynamic_demod_all).
% 0.14/0.38     dependent: set(dynamic_demod).
% 0.14/0.38     dependent: set(order_eq).
% 0.14/0.38     dependent: set(back_demod).
% 0.14/0.38     dependent: set(lrpo).
% 0.14/0.38     dependent: set(hyper_res).
% 0.14/0.38     dependent: clear(order_hyper).
% 0.14/0.38  
% 0.14/0.38  ------------> process usable:
% 0.14/0.38  
% 0.14/0.38  ------------> process sos:
% 0.14/0.38    Following clause subsumed by 12 during input processing: 0 [copy,12,flip.1] {-} A=A.
% 0.14/0.38  
% 0.14/0.38  ======= end of input processing =======
% 0.14/0.41  
% 0.14/0.41  Model 1 (0.00 seconds, 0 Inserts)
% 0.14/0.41  
% 0.14/0.41  Stopped by limit on number of solutions
% 0.14/0.41  
% 0.14/0.41  
% 0.14/0.41  -------------- Softie stats --------------
% 0.14/0.41  
% 0.14/0.41  UPDATE_STOP: 300
% 0.14/0.41  SFINDER_TIME_LIMIT: 2
% 0.14/0.41  SHORT_CLAUSE_CUTOFF: 4
% 0.14/0.41  number of clauses in intial UL: 3
% 0.14/0.41  number of clauses initially in problem: 11
% 0.14/0.41  percentage of clauses intially in UL: 27
% 0.14/0.41  percentage of distinct symbols occuring in initial UL: 62
% 0.14/0.41  percent of all initial clauses that are short: 100
% 0.14/0.41  absolute distinct symbol count: 8
% 0.14/0.41     distinct predicate count: 3
% 0.14/0.41     distinct function count: 3
% 0.14/0.41     distinct constant count: 2
% 0.14/0.41  
% 0.14/0.41  ---------- no more Softie stats ----------
% 0.14/0.41  
% 0.14/0.41  
% 0.14/0.41  
% 0.14/0.41  Model 2 (0.00 seconds, 0 Inserts)
% 0.14/0.41  
% 0.14/0.41  Stopped by limit on number of solutions
% 0.14/0.41  
% 0.14/0.41  =========== start of search ===========
% 5.54/5.75  
% 5.54/5.75  -------- PROOF -------- 
% 5.54/5.75  % SZS status Unsatisfiable
% 5.54/5.75  % SZS output start Refutation
% 5.54/5.75  
% 5.54/5.75  Model 3 (0.00 seconds, 0 Inserts)
% 5.54/5.75  
% 5.54/5.75  Stopped by limit on number of solutions
% 5.54/5.75  
% 5.54/5.75  Stopped by limit on insertions
% 5.54/5.75  
% 5.54/5.75  Model 4 [ 2 1 102 ] (0.00 seconds, 250000 Inserts)
% 5.54/5.75  
% 5.54/5.75  Stopped by limit on insertions
% 5.54/5.75  
% 5.54/5.75  Model 5 [ 21 0 155 ] (0.00 seconds, 250000 Inserts)
% 5.54/5.75  
% 5.54/5.75  Stopped by limit on insertions
% 5.54/5.75  
% 5.54/5.75  Model 6 [ 21 7 143044 ] (0.00 seconds, 250000 Inserts)
% 5.54/5.75  
% 5.54/5.75  Model 7 [ 1 3 26073 ] (0.00 seconds, 145959 Inserts)
% 5.54/5.75  
% 5.54/5.75  Stopped by limit on insertions
% 5.54/5.75  
% 5.54/5.75  Model 8 [ 1 1 14700 ] (0.00 seconds, 250000 Inserts)
% 5.54/5.75  
% 5.54/5.75  Model 9 [ 1 1 493 ] (0.00 seconds, 127995 Inserts)
% 5.54/5.75  
% 5.54/5.75  Stopped by limit on insertions
% 5.54/5.75  
% 5.54/5.75  Model 10 [ 1 1 108 ] (0.00 seconds, 88914 Inserts)
% 5.54/5.75  
% 5.54/5.75  Stopped by limit on insertions
% 5.54/5.75  
% 5.54/5.75  Model 11 [ 1 2 23376 ] (0.00 seconds, 250000 Inserts)
% 5.54/5.75  
% 5.54/5.75  Stopped by limit on insertions
% 5.54/5.75  
% 5.54/5.75  Model 12 [ 1 3 21795 ] (0.00 seconds, 250000 Inserts)
% 5.54/5.75  
% 5.54/5.75  Stopped by limit on insertions
% 5.54/5.75  
% 5.54/5.75  Model 13 [ 1 1 80 ] (0.00 seconds, 250000 Inserts)
% 5.54/5.75  
% 5.54/5.75  Stopped by limit on insertions
% 5.54/5.75  
% 5.54/5.75  Model 14 [ 3 0 696 ] (0.00 seconds, 250000 Inserts)
% 5.54/5.75  
% 5.54/5.75  Stopped by limit on insertions
% 5.54/5.75  
% 5.54/5.75  Model 15 [ 19 30 164853 ] (0.00 seconds, 250000 Inserts)
% 5.54/5.75  
% 5.54/5.75  Stopped by limit on insertions
% 5.54/5.75  
% 5.54/5.75  Model 16 [ 2 1 173 ] (0.00 seconds, 250000 Inserts)
% 5.54/5.75  
% 5.54/5.75  Stopped by limit on insertions
% 5.54/5.75  
% 5.54/5.75  Stopped by limit on insertions
% 5.54/5.75  
% 5.54/5.75  Model 17 [ 43 5 19523 ] (0.00 seconds, 250000 Inserts)
% 5.54/5.75  
% 5.54/5.75  ----> UNIT CONFLICT at   5.34 sec ----> 631 [binary,630.1,3.1] {+} $F.
% 5.54/5.75  
% 5.54/5.75  Length of proof is 9.  Level of proof is 6.
% 5.54/5.75  
% 5.54/5.75  ---------------- PROOF ----------------
% 5.54/5.75  % SZS status Unsatisfiable
% 5.54/5.75  % SZS output start Refutation
% 5.54/5.75  
% 5.54/5.75  1 [] {+} theorem(A)| -axiom(A).
% 5.54/5.75  2 [] {+} theorem(A)| -theorem(implies(B,A))| -theorem(B).
% 5.54/5.75  3 [] {+} -theorem(implies(p,implies(implies(p,q),q))).
% 5.54/5.75  4 [] {+} axiom(implies(or(A,A),A)).
% 5.54/5.75  5 [] {+} axiom(implies(A,or(B,A))).
% 5.54/5.75  7 [] {-} axiom(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 5.54/5.75  9 [] {-} implies(A,B)=or(not(A),B).
% 5.54/5.75  11,10 [copy,9,flip.1] {+} or(not(A),B)=implies(A,B).
% 5.54/5.75  13 [hyper,4,1] {+} theorem(implies(or(A,A),A)).
% 5.54/5.75  14 [hyper,5,1] {+} theorem(implies(A,or(B,A))).
% 5.54/5.75  17 [hyper,7,1] {+} theorem(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 5.54/5.75  74 [para_into,17.1.1.1,10.1.1,demod,11] {-} theorem(implies(implies(A,or(B,C)),or(B,implies(A,C)))).
% 5.54/5.75  491 [hyper,74,2,14] {+} theorem(or(A,implies(B,B))).
% 5.54/5.75  510 [hyper,491,2,13] {+} theorem(implies(A,A)).
% 5.54/5.75  611 [hyper,510,2,74] {+} theorem(or(A,implies(or(A,B),B))).
% 5.54/5.75  630 [para_into,611.1.1.2.1,10.1.1,demod,11] {-} theorem(implies(A,implies(implies(A,B),B))).
% 5.54/5.75  631 [binary,630.1,3.1] {+} $F.
% 5.54/5.75  
% 5.54/5.75  % SZS output end Refutation
% 5.54/5.75  ------------ end of proof -------------
% 5.54/5.75  
% 5.54/5.75  
% 5.54/5.75  Search stopped by max_proofs option.
% 5.54/5.75  
% 5.54/5.75  
% 5.54/5.75  Search stopped by max_proofs option.
% 5.54/5.75  
% 5.54/5.75  ============ end of search ============
% 5.54/5.75  
% 5.54/5.75  ----------- soft-scott stats ----------
% 5.54/5.75  
% 5.54/5.75  true clauses given          27      (31.0%)
% 5.54/5.75  false clauses given         60
% 5.54/5.75  
% 5.54/5.75        FALSE     TRUE
% 5.54/5.75     5  0         1
% 5.54/5.75     6  0         2
% 5.54/5.75     7  0         1
% 5.54/5.75     8  6         2
% 5.54/5.75     9  9         14
% 5.54/5.75    10  34        18
% 5.54/5.75    11  44        44
% 5.54/5.75    12  59        33
% 5.54/5.75    13  45        25
% 5.54/5.75    14  46        24
% 5.54/5.75    15  23        6
% 5.54/5.75    16  10        11
% 5.54/5.75    17  3         0
% 5.54/5.75    18  0         16
% 5.54/5.75    20  0         17
% 5.54/5.75    22  0         17
% 5.54/5.75    24  0         5
% 5.54/5.75    26  0         3
% 5.54/5.75  tot:  279       239      (46.1% true)
% 5.54/5.75  
% 5.54/5.75  
% 5.54/5.75  Model 17 [ 43 5 19523 ] (0.00 seconds, 250000 Inserts)
% 5.54/5.75  
% 5.54/5.75  That finishes the proof of the theorem.
% 5.54/5.75  
% 5.54/5.75  Process 4970 finished Mon Jul  4 08:32:27 2022
%------------------------------------------------------------------------------