TSTP Solution File: PUZ018-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : PUZ018-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n021.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 : Mon Jul 18 18:26:59 EDT 2022

% Result   : Unsatisfiable 1.74s 1.94s
% Output   : Refutation 1.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : PUZ018-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.11/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun May 29 00:25:42 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  ----- Otter 3.2, August 2001 -----
% 0.13/0.35  The process was started by sandbox2 on n021.cluster.edu,
% 0.13/0.35  Sun May 29 00:25:42 2022
% 0.13/0.35  The command was "./sos".  The process ID is 14502.
% 0.13/0.35  
% 0.13/0.35  set(prolog_style_variables).
% 0.13/0.35  set(auto).
% 0.13/0.35     dependent: set(auto1).
% 0.13/0.35     dependent: set(process_input).
% 0.13/0.35     dependent: clear(print_kept).
% 0.13/0.35     dependent: clear(print_new_demod).
% 0.13/0.35     dependent: clear(print_back_demod).
% 0.13/0.35     dependent: clear(print_back_sub).
% 0.13/0.35     dependent: set(control_memory).
% 0.13/0.35     dependent: assign(max_mem, 12000).
% 0.13/0.35     dependent: assign(pick_given_ratio, 4).
% 0.13/0.35     dependent: assign(stats_level, 1).
% 0.13/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35     dependent: assign(sos_limit, 5000).
% 0.13/0.35     dependent: assign(max_weight, 60).
% 0.13/0.35  clear(print_given).
% 0.13/0.35  
% 0.13/0.35  list(usable).
% 0.13/0.35  
% 0.13/0.35  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=7.
% 0.13/0.35  
% 0.13/0.35  This is a non-Horn set without equality.  The strategy
% 0.13/0.35  will be ordered hyper_res, ur_res, unit deletion, and
% 0.13/0.35  factoring, with satellites in sos and nuclei in usable.
% 0.13/0.35  
% 0.13/0.35     dependent: set(hyper_res).
% 0.13/0.35     dependent: set(factor).
% 0.13/0.35     dependent: set(unit_deletion).
% 0.13/0.35  
% 0.13/0.35  ------------> process usable:
% 0.13/0.35  
% 0.13/0.35  ------------> process sos:
% 0.13/0.35  49 back subsumes 38.
% 0.13/0.35  
% 0.13/0.35  ======= end of input processing =======
% 0.13/0.40  
% 0.13/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.40  
% 0.13/0.40  Stopped by limit on number of solutions
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  -------------- Softie stats --------------
% 0.13/0.40  
% 0.13/0.40  UPDATE_STOP: 300
% 0.13/0.40  SFINDER_TIME_LIMIT: 2
% 0.13/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.40  number of clauses in intial UL: 39
% 0.13/0.40  number of clauses initially in problem: 50
% 0.13/0.40  percentage of clauses intially in UL: 78
% 0.13/0.40  percentage of distinct symbols occuring in initial UL: 100
% 0.13/0.40  percent of all initial clauses that are short: 100
% 0.13/0.40  absolute distinct symbol count: 15
% 0.13/0.40     distinct predicate count: 5
% 0.13/0.40     distinct function count: 0
% 0.13/0.40     distinct constant count: 10
% 0.13/0.40  
% 0.13/0.40  ---------- no more Softie stats ----------
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.40  
% 0.13/0.40  Stopped by limit on number of solutions
% 0.13/0.40  
% 0.13/0.40  =========== start of search ===========
% 1.74/1.94  
% 1.74/1.94  -------- PROOF -------- 
% 1.74/1.94  % SZS status Unsatisfiable
% 1.74/1.94  % SZS output start Refutation
% 1.74/1.94  
% 1.74/1.94  Model 3 (0.00 seconds, 0 Inserts)
% 1.74/1.94  
% 1.74/1.94  Stopped by limit on number of solutions
% 1.74/1.94  
% 1.74/1.94  Model 4 (0.00 seconds, 0 Inserts)
% 1.74/1.94  
% 1.74/1.94  Stopped by limit on number of solutions
% 1.74/1.94  
% 1.74/1.94  Model 5 (0.00 seconds, 0 Inserts)
% 1.74/1.94  
% 1.74/1.94  Stopped by limit on number of solutions
% 1.74/1.94  
% 1.74/1.94  Stopped by limit on insertions
% 1.74/1.94  
% 1.74/1.94  Stopped by limit on insertions
% 1.74/1.94  
% 1.74/1.94  Model 6 [ 2 0 73 ] (0.00 seconds, 250000 Inserts)
% 1.74/1.94  
% 1.74/1.94  Stopped by limit on insertions
% 1.74/1.94  
% 1.74/1.94  Model 7 [ 3 15 198210 ] (0.00 seconds, 250000 Inserts)
% 1.74/1.94  
% 1.74/1.94  Stopped by limit on insertions
% 1.74/1.94  
% 1.74/1.94  Model 8 [ 3 9 209051 ] (0.00 seconds, 250000 Inserts)
% 1.74/1.94  
% 1.74/1.94  Stopped by limit on insertions
% 1.74/1.94  
% 1.74/1.94  Model 9 [ 3 3 90896 ] (0.00 seconds, 250000 Inserts)
% 1.74/1.94  
% 1.74/1.94  Stopped by limit on insertions
% 1.74/1.94  
% 1.74/1.94  Model 10 [ 3 19 225313 ] (0.00 seconds, 250000 Inserts)
% 1.74/1.94  
% 1.74/1.94  Stopped by limit on insertions
% 1.74/1.94  
% 1.74/1.94  Model 11 [ 6 0 1358 ] (0.00 seconds, 250000 Inserts)
% 1.74/1.94  
% 1.74/1.94  Stopped by limit on insertions
% 1.74/1.94  
% 1.74/1.94  Model 12 [ 7 0 54 ] (0.00 seconds, 250000 Inserts)
% 1.74/1.94  
% 1.74/1.94  Stopped by limit on insertions
% 1.74/1.94  
% 1.74/1.94  Model 13 [ 8 1 16870 ] (0.00 seconds, 250000 Inserts)
% 1.74/1.94  
% 1.74/1.94  Stopped by limit on insertions
% 1.74/1.94  
% 1.74/1.94  -----> EMPTY CLAUSE at   1.55 sec ----> 170 [hyper,168,30,42,43,44,167,154] {-} $F.
% 1.74/1.94  
% 1.74/1.94  Length of proof is 17.  Level of proof is 8.
% 1.74/1.94  
% 1.74/1.94  ---------------- PROOF ----------------
% 1.74/1.94  % SZS status Unsatisfiable
% 1.74/1.94  % SZS output start Refutation
% 1.74/1.94  
% 1.74/1.94  1 [] {+} -all_on(A)|on(a,A).
% 1.74/1.94  2 [] {+} -all_on(A)|on(b,A).
% 1.74/1.94  3 [] {+} -all_on(A)|on(c,A).
% 1.74/1.94  6 [] {+} -same_person(a,b).
% 1.74/1.94  7 [] {+} -same_person(a,c).
% 1.74/1.94  10 [] {+} -same_day(sunday,tuesday).
% 1.74/1.94  12 [] {+} -same_day(sunday,thursday).
% 1.74/1.94  21 [] {+} -same_day(tuesday,thursday).
% 1.74/1.94  30 [] {+} -consecutive(A,B)| -consecutive(B,C)| -consecutive(C,D)| -on(E,A)| -on(E,B)| -on(E,C).
% 1.74/1.94  31 [] {+} -on(a,sunday).
% 1.74/1.94  32 [] {+} -on(a,tuesday).
% 1.74/1.94  33 [] {+} -on(a,thursday).
% 1.74/1.94  34 [] {+} -on(b,thursday).
% 1.74/1.94  35 [] {+} -on(b,saturday).
% 1.74/1.94  36 [] {+} -on(c,sunday).
% 1.74/1.94  37 [] {+} -all_on(friday).
% 1.74/1.94  41 [] {+} consecutive(sunday,monday).
% 1.74/1.94  42 [] {+} consecutive(monday,tuesday).
% 1.74/1.94  43 [] {+} consecutive(tuesday,wednesday).
% 1.74/1.94  44 [] {+} consecutive(wednesday,thursday).
% 1.74/1.94  45 [] {+} consecutive(thursday,friday).
% 1.74/1.94  50 [] {-} all_on(sunday)|all_on(monday)|all_on(tuesday)|all_on(wednesday)|all_on(thursday)|all_on(friday)|all_on(saturday).
% 1.74/1.94  51 [copy,50,unit_del,37] {-} all_on(sunday)|all_on(monday)|all_on(tuesday)|all_on(wednesday)|all_on(thursday)|all_on(saturday).
% 1.74/1.94  52 [] {-} on(A,B)|on(A,C)|on(D,B)|on(D,C)|same_person(A,D)|same_day(B,C).
% 1.74/1.94  53 [hyper,51,3,unit_del,36] {-} all_on(monday)|all_on(tuesday)|all_on(wednesday)|all_on(thursday)|all_on(saturday).
% 1.74/1.94  72 [hyper,53,1,unit_del,32] {-} all_on(monday)|all_on(wednesday)|all_on(thursday)|all_on(saturday).
% 1.74/1.94  87 [hyper,72,2,unit_del,34] {-} all_on(monday)|all_on(wednesday)|all_on(saturday).
% 1.74/1.94  97 [hyper,87,2,unit_del,35] {+} all_on(monday)|all_on(wednesday).
% 1.74/1.94  98 [hyper,97,3] {+} all_on(wednesday)|on(c,monday).
% 1.74/1.94  99 [hyper,97,2] {+} all_on(wednesday)|on(b,monday).
% 1.74/1.94  105 [hyper,52,7] {-} on(a,A)|on(a,B)|on(c,A)|on(c,B)|same_day(A,B).
% 1.74/1.94  106 [hyper,52,6] {-} on(a,A)|on(a,B)|on(b,A)|on(b,B)|same_day(A,B).
% 1.74/1.94  107 [hyper,98,3] {+} on(c,monday)|on(c,wednesday).
% 1.74/1.94  110 [hyper,99,3] {+} on(b,monday)|on(c,wednesday).
% 1.74/1.94  152 [hyper,105,12,unit_del,31,33,36] {+} on(c,thursday).
% 1.74/1.94  154 [hyper,105,10,unit_del,31,32,36] {+} on(c,tuesday).
% 1.74/1.94  162 [hyper,106,21,unit_del,32,33,34] {+} on(b,tuesday).
% 1.74/1.94  164 [hyper,106,12,unit_del,31,33,34] {+} on(b,sunday).
% 1.74/1.94  167 [hyper,107,30,43,44,45,154,152] {+} on(c,monday).
% 1.74/1.94  168 [hyper,110,30,41,42,43,164,162] {-} on(c,wednesday).
% 1.74/1.94  170 [hyper,168,30,42,43,44,167,154] {-} $F.
% 1.74/1.94  
% 1.74/1.94  % SZS output end Refutation
% 1.74/1.94  ------------ end of proof -------------
% 1.74/1.94  
% 1.74/1.94  
% 1.74/1.94  Search stopped by max_proofs option.
% 1.74/1.94  
% 1.74/1.94  
% 1.74/1.94  Search stopped by max_proofs option.
% 1.74/1.94  
% 1.74/1.94  ============ end of search ============
% 1.74/1.94  
% 1.74/1.94  ----------- soft-scott stats ----------
% 1.74/1.94  
% 1.74/1.94  true clauses given          13      (27.7%)
% 1.74/1.94  false clauses given         34
% 1.74/1.94  
% 1.74/1.94        FALSE     TRUE
% 1.74/1.94     3  0         1
% 1.74/1.94  tot:  0         1      (100.0% true)
% 1.74/1.94  
% 1.74/1.94  
% 1.74/1.94  Model 13 [ 8 -6 16870 ] (0.00 seconds, 250000 Inserts)
% 1.74/1.94  
% 1.74/1.94  That finishes the proof of the theorem.
% 1.74/1.94  
% 1.74/1.94  Process 14502 finished Sun May 29 00:25:44 2022
%------------------------------------------------------------------------------