TSTP Solution File: PUZ030-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : PUZ030-1 : 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 : Mon Jul 18 18:27:00 EDT 2022

% Result   : Unsatisfiable 0.75s 0.95s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ030-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n027.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 May 28 19:55:59 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  ----- Otter 3.2, August 2001 -----
% 0.12/0.34  The process was started by sandbox on n027.cluster.edu,
% 0.12/0.34  Sat May 28 19:55:59 2022
% 0.12/0.34  The command was "./sos".  The process ID is 24376.
% 0.12/0.34  
% 0.12/0.34  set(prolog_style_variables).
% 0.12/0.34  set(auto).
% 0.12/0.34     dependent: set(auto1).
% 0.12/0.34     dependent: set(process_input).
% 0.12/0.34     dependent: clear(print_kept).
% 0.12/0.34     dependent: clear(print_new_demod).
% 0.12/0.34     dependent: clear(print_back_demod).
% 0.12/0.34     dependent: clear(print_back_sub).
% 0.12/0.34     dependent: set(control_memory).
% 0.12/0.34     dependent: assign(max_mem, 12000).
% 0.12/0.34     dependent: assign(pick_given_ratio, 4).
% 0.12/0.34     dependent: assign(stats_level, 1).
% 0.12/0.34     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.34     dependent: assign(sos_limit, 5000).
% 0.12/0.34     dependent: assign(max_weight, 60).
% 0.12/0.34  clear(print_given).
% 0.12/0.34  
% 0.12/0.34  list(usable).
% 0.12/0.34  
% 0.12/0.34  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=7.
% 0.12/0.34  
% 0.12/0.34  This is a non-Horn set without equality.  The strategy
% 0.12/0.34  will be ordered hyper_res, ur_res, unit deletion, and
% 0.12/0.34  factoring, with satellites in sos and nuclei in usable.
% 0.12/0.34  
% 0.12/0.34     dependent: set(hyper_res).
% 0.12/0.34     dependent: set(factor).
% 0.12/0.34     dependent: set(unit_deletion).
% 0.12/0.34  
% 0.12/0.34  ------------> process usable:
% 0.12/0.34  
% 0.12/0.34  ------------> process sos:
% 0.12/0.34  
% 0.12/0.34  ======= end of input processing =======
% 0.12/0.38  
% 0.12/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.38  
% 0.12/0.38  Stopped by limit on number of solutions
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  -------------- Softie stats --------------
% 0.12/0.38  
% 0.12/0.38  UPDATE_STOP: 300
% 0.12/0.38  SFINDER_TIME_LIMIT: 2
% 0.12/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.38  number of clauses in intial UL: 41
% 0.12/0.38  number of clauses initially in problem: 43
% 0.12/0.38  percentage of clauses intially in UL: 95
% 0.12/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.38  percent of all initial clauses that are short: 100
% 0.12/0.38  absolute distinct symbol count: 10
% 0.12/0.38     distinct predicate count: 5
% 0.12/0.38     distinct function count: 0
% 0.12/0.38     distinct constant count: 5
% 0.12/0.38  
% 0.12/0.38  ---------- no more Softie stats ----------
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  =========== start of search ===========
% 0.75/0.95  
% 0.75/0.95  -------- PROOF -------- 
% 0.75/0.95  % SZS status Unsatisfiable
% 0.75/0.95  % SZS output start Refutation
% 0.75/0.95  
% 0.75/0.95  Model 2 [ 1 0 394 ] (0.00 seconds, 1493 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 3 [ 5 0 326 ] (0.00 seconds, 2613 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 4 [ 5 1 1204 ] (0.00 seconds, 2592 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 5 [ 5 1 548 ] (0.00 seconds, 2682 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 6 [ 6 0 944 ] (0.00 seconds, 3383 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 7 [ 6 0 389 ] (0.00 seconds, 2483 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 8 [ 7 1 1048 ] (0.00 seconds, 3291 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 9 [ 7 1 545 ] (0.00 seconds, 1943 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 10 [ 11 0 1027 ] (0.00 seconds, 1903 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 11 [ 12 1 970 ] (0.00 seconds, 2443 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 12 [ 14 1 496 ] (0.00 seconds, 2768 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 13 [ 13 1 928 ] (0.00 seconds, 2146 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 14 [ 15 1 817 ] (0.00 seconds, 2481 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 15 [ 14 0 805 ] (0.00 seconds, 3348 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 16 [ 16 0 280 ] (0.00 seconds, 2851 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 17 [ 15 1 1019 ] (0.00 seconds, 3548 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 18 [ 17 0 222 ] (0.00 seconds, 1597 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 19 [ 17 1 977 ] (0.00 seconds, 2454 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 20 [ 19 0 251 ] (0.00 seconds, 3238 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 21 [ 18 1 846 ] (0.00 seconds, 3632 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 22 [ 20 1 399 ] (0.00 seconds, 2212 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 23 [ 19 1 569 ] (0.00 seconds, 2085 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 24 [ 21 1 403 ] (0.00 seconds, 1228 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 25 [ 20 0 419 ] (0.00 seconds, 1524 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 26 [ 22 1 298 ] (0.00 seconds, 1574 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 27 [ 32 1 549 ] (0.00 seconds, 859 Inserts)
% 0.75/0.95  
% 0.75/0.95  Model 28 [ 23 0 131 ] (0.00 seconds, 1678 Inserts)
% 0.75/0.95  
% 0.75/0.95  -----> EMPTY CLAUSE at   0.58 sec ----> 544 [hyper,543,5,535] {-} $F.
% 0.75/0.95  
% 0.75/0.95  Length of proof is 89.  Level of proof is 40.
% 0.75/0.95  
% 0.75/0.95  ---------------- PROOF ----------------
% 0.75/0.95  % SZS status Unsatisfiable
% 0.75/0.95  % SZS output start Refutation
% 0.75/0.95  
% 0.75/0.95  1 [] {+} -both(A)|salt(A).
% 0.75/0.95  2 [] {+} -both(A)|mustard(A).
% 0.75/0.95  3 [] {+} -salt(A)| -mustard(A)|both(A).
% 0.75/0.95  4 [] {+} -oneof(A)|salt(A)|mustard(A).
% 0.75/0.95  5 [] {+} -oneof(A)| -both(A).
% 0.75/0.95  6 [] {+} -oneof(A)| -neither(A).
% 0.75/0.95  7 [] {+} -oneof(A)| -salt(A)| -mustard(A).
% 0.75/0.95  9 [] {+} -neither(A)| -salt(A).
% 0.75/0.95  10 [] {+} -neither(A)| -mustard(A).
% 0.75/0.95  11 [] {+} -salt(barry)|oneof(cole)|oneof(lang).
% 0.75/0.95  12 [] {+} -oneof(cole)|salt(barry).
% 0.75/0.95  13 [] {+} -oneof(lang)|salt(barry).
% 0.75/0.95  14 [] {+} -mustard(barry)|neither(dix)|both(mill).
% 0.75/0.95  15 [] {+} -neither(dix)|mustard(barry).
% 0.75/0.95  17 [] {+} -salt(cole)|oneof(barry)|neither(mill).
% 0.75/0.95  20 [] {+} -mustard(cole)|both(dix)|both(lang).
% 0.75/0.95  22 [] {+} -both(lang)|mustard(cole).
% 0.75/0.95  23 [] {+} -salt(dix)|neither(barry)|both(cole).
% 0.75/0.95  26 [] {+} -mustard(dix)|neither(lang)|neither(mill).
% 0.75/0.95  27 [] {+} -neither(lang)|mustard(dix).
% 0.75/0.95  29 [] {+} -salt(lang)|oneof(barry)|oneof(dix).
% 0.75/0.95  30 [] {+} -oneof(barry)|salt(lang).
% 0.75/0.95  31 [] {+} -oneof(dix)|salt(lang).
% 0.75/0.95  32 [] {+} -mustard(lang)|neither(cole)|neither(mill).
% 0.75/0.95  33 [] {+} -neither(cole)|mustard(lang).
% 0.75/0.95  34 [] {+} -neither(mill)|mustard(lang).
% 0.75/0.95  35 [] {+} -salt(mill)|both(barry)|both(lang).
% 0.75/0.95  36 [] {+} -both(barry)|salt(mill).
% 0.75/0.95  37 [] {+} -both(lang)|mustard(mill).
% 0.75/0.95  38 [] {+} -mustard(mill)|oneof(cole)|oneof(dix).
% 0.75/0.95  39 [] {+} -oneof(cole)|mustard(mill).
% 0.75/0.95  40 [] {+} -oneof(dix)|mustard(mill).
% 0.75/0.95  41 [] {+} -neither(cole)| -neither(dix)| -both(barry)| -oneof(lang)| -salt(mill)| -mustard(lang)| -oneof(mill).
% 0.75/0.95  42 [] {-} both(A)|neither(A)|oneof(A).
% 0.75/0.95  43 [] {+} salt(A)|mustard(A)|neither(A).
% 0.75/0.95  45 [hyper,42,39] {+} both(cole)|neither(cole)|mustard(mill).
% 0.75/0.95  46 [hyper,42,31] {+} both(dix)|neither(dix)|salt(lang).
% 0.75/0.95  47 [hyper,42,30] {+} both(barry)|neither(barry)|salt(lang).
% 0.75/0.95  49 [hyper,42,13] {-} both(lang)|neither(lang)|salt(barry).
% 0.75/0.95  50 [hyper,42,12] {+} both(cole)|neither(cole)|salt(barry).
% 0.75/0.95  51 [hyper,43,35] {+} mustard(mill)|neither(mill)|both(barry)|both(lang).
% 0.75/0.95  52 [hyper,43,29] {+} mustard(lang)|neither(lang)|oneof(barry)|oneof(dix).
% 0.75/0.95  53 [hyper,43,23] {+} mustard(dix)|neither(dix)|neither(barry)|both(cole).
% 0.75/0.95  54 [hyper,43,17] {+} mustard(cole)|neither(cole)|oneof(barry)|neither(mill).
% 0.75/0.95  57 [hyper,45,33] {+} both(cole)|mustard(mill)|mustard(lang).
% 0.75/0.95  62 [hyper,51,34] {+} mustard(mill)|both(barry)|both(lang)|mustard(lang).
% 0.75/0.95  65 [hyper,57,38] {+} both(cole)|mustard(lang)|oneof(cole)|oneof(dix).
% 0.75/0.95  69 [hyper,52,40] {+} mustard(lang)|neither(lang)|oneof(barry)|mustard(mill).
% 0.75/0.95  70 [hyper,52,4] {+} mustard(lang)|neither(lang)|oneof(barry)|salt(dix)|mustard(dix).
% 0.75/0.95  71 [hyper,53,15] {+} mustard(dix)|neither(barry)|both(cole)|mustard(barry).
% 0.75/0.95  73 [hyper,53,9,50,factor_simp] {+} mustard(dix)|neither(dix)|both(cole)|neither(cole).
% 0.75/0.95  92 [hyper,62,3,47,factor_simp,factor_simp] {+} mustard(mill)|both(barry)|both(lang)|neither(barry).
% 0.75/0.95  98 [hyper,65,31] {+} both(cole)|mustard(lang)|oneof(cole)|salt(lang).
% 0.75/0.95  105 [hyper,71,9,50,factor_simp] {+} mustard(dix)|both(cole)|mustard(barry)|neither(cole).
% 0.75/0.95  110 [hyper,73,33] {+} mustard(dix)|neither(dix)|both(cole)|mustard(lang).
% 0.75/0.95  115 [hyper,92,9,49,factor_simp] {-} mustard(mill)|both(barry)|both(lang)|neither(lang).
% 0.75/0.95  117 [hyper,115,10,62,factor_simp,factor_simp,factor_simp] {-} mustard(mill)|both(barry)|both(lang).
% 0.75/0.95  118 [hyper,117,38] {-} both(barry)|both(lang)|oneof(cole)|oneof(dix).
% 0.75/0.95  122 [hyper,118,31] {-} both(barry)|both(lang)|oneof(cole)|salt(lang).
% 0.75/0.95  134 [hyper,105,33] {+} mustard(dix)|both(cole)|mustard(barry)|mustard(lang).
% 0.75/0.95  135 [hyper,110,9,70,factor_simp,factor_simp] {+} mustard(dix)|both(cole)|mustard(lang)|neither(lang)|oneof(barry).
% 0.75/0.95  137 [hyper,110,6,65,factor_simp,factor_simp] {+} mustard(dix)|both(cole)|mustard(lang)|oneof(cole).
% 0.75/0.95  155 [hyper,137,12] {+} mustard(dix)|both(cole)|mustard(lang)|salt(barry).
% 0.75/0.95  191 [hyper,135,7,155,134,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] {+} mustard(dix)|both(cole)|mustard(lang)|neither(lang).
% 0.75/0.95  193 [hyper,191,27,factor_simp] {+} mustard(dix)|both(cole)|mustard(lang).
% 0.75/0.95  194 [hyper,193,26] {+} both(cole)|mustard(lang)|neither(lang)|neither(mill).
% 0.75/0.95  201 [hyper,194,34,factor_simp] {+} both(cole)|mustard(lang)|neither(lang).
% 0.75/0.95  203 [hyper,201,9,98,factor_simp,factor_simp] {+} both(cole)|mustard(lang)|oneof(cole).
% 0.75/0.95  204 [hyper,201,9,47] {+} both(cole)|mustard(lang)|both(barry)|neither(barry).
% 0.75/0.95  205 [hyper,201,9,46] {+} both(cole)|mustard(lang)|both(dix)|neither(dix).
% 0.75/0.95  208 [hyper,203,12] {+} both(cole)|mustard(lang)|salt(barry).
% 0.75/0.95  218 [hyper,204,9,208,factor_simp,factor_simp] {+} both(cole)|mustard(lang)|both(barry).
% 0.75/0.95  219 [hyper,218,32] {+} both(cole)|both(barry)|neither(cole)|neither(mill).
% 0.75/0.95  226 [hyper,218,3,122,factor_simp,factor_simp] {+} both(cole)|both(barry)|both(lang)|oneof(cole).
% 0.75/0.95  230 [hyper,205,10,193,factor_simp,factor_simp] {+} both(cole)|mustard(lang)|both(dix).
% 0.75/0.95  231 [hyper,230,32] {+} both(cole)|both(dix)|neither(cole)|neither(mill).
% 0.75/0.95  248 [hyper,219,10,117,factor_simp] {+} both(cole)|both(barry)|neither(cole)|both(lang).
% 0.75/0.95  278 [hyper,248,6,226,factor_simp,factor_simp,factor_simp] {+} both(cole)|both(barry)|both(lang).
% 0.75/0.95  285 [hyper,278,5,118,factor_simp,factor_simp] {-} both(barry)|both(lang)|oneof(dix).
% 0.75/0.95  287 [hyper,278,2] {+} both(barry)|both(lang)|mustard(cole).
% 0.75/0.95  296 [hyper,278,37] {+} both(cole)|both(barry)|mustard(mill).
% 0.75/0.95  303 [hyper,287,20,factor_simp] {+} both(barry)|both(lang)|both(dix).
% 0.75/0.95  317 [hyper,296,10,219,factor_simp,factor_simp] {-} both(cole)|both(barry)|neither(cole).
% 0.75/0.95  334 [hyper,303,5,285,factor_simp,factor_simp] {-} both(barry)|both(lang).
% 0.75/0.95  343 [hyper,334,37] {+} both(barry)|mustard(mill).
% 0.75/0.95  344 [hyper,334,22] {+} both(barry)|mustard(cole).
% 0.75/0.95  347 [hyper,334,2] {+} both(barry)|mustard(lang).
% 0.75/0.95  356 [hyper,347,32] {+} both(barry)|neither(cole)|neither(mill).
% 0.75/0.95  360 [hyper,317,10,344,factor_simp] {+} both(cole)|both(barry).
% 0.75/0.95  364 [hyper,360,36] {+} both(cole)|salt(mill).
% 0.75/0.95  389 [hyper,364,9,231,factor_simp] {-} both(cole)|both(dix)|neither(cole).
% 0.75/0.95  396 [hyper,356,10,343,factor_simp] {+} both(barry)|neither(cole).
% 0.75/0.95  397 [hyper,396,10,344,factor_simp] {-} both(barry).
% 0.75/0.95  400 [hyper,397,36] {-} salt(mill).
% 0.75/0.95  404 [hyper,397,5,69] {+} mustard(lang)|neither(lang)|mustard(mill).
% 0.75/0.95  405 [hyper,397,5,54] {-} mustard(cole)|neither(cole)|neither(mill).
% 0.75/0.95  407 [hyper,397,2] {+} mustard(barry).
% 0.75/0.95  408 [hyper,397,1] {+} salt(barry).
% 0.75/0.95  409 [hyper,408,11] {+} oneof(cole)|oneof(lang).
% 0.75/0.95  410 [hyper,407,14] {+} neither(dix)|both(mill).
% 0.75/0.95  416 [hyper,409,39] {+} oneof(lang)|mustard(mill).
% 0.75/0.95  443 [hyper,405,9,400] {+} mustard(cole)|neither(cole).
% 0.75/0.95  444 [hyper,443,33] {+} mustard(cole)|mustard(lang).
% 0.75/0.95  445 [hyper,443,6,409] {+} mustard(cole)|oneof(lang).
% 0.75/0.95  454 [hyper,445,41,443,410,397,400,444,42,factor_simp,factor_simp,factor_simp] {+} mustard(cole)|both(mill)|neither(mill).
% 0.75/0.95  455 [hyper,445,7,46,444,factor_simp] {+} mustard(cole)|both(dix)|neither(dix).
% 0.75/0.95  457 [hyper,404,6,416,factor_simp] {+} mustard(lang)|mustard(mill).
% 0.75/0.95  461 [hyper,457,3,400] {+} mustard(lang)|both(mill).
% 0.75/0.95  463 [hyper,461,32] {-} both(mill)|neither(cole)|neither(mill).
% 0.75/0.95  476 [hyper,454,9,400] {+} mustard(cole)|both(mill).
% 0.75/0.95  488 [hyper,463,10,476,factor_simp] {+} both(mill)|neither(mill).
% 0.75/0.95  494 [hyper,488,9,400] {-} both(mill).
% 0.75/0.95  496 [hyper,494,2] {+} mustard(mill).
% 0.75/0.95  497 [hyper,496,38] {+} oneof(cole)|oneof(dix).
% 0.75/0.95  498 [hyper,497,6,443] {+} oneof(dix)|mustard(cole).
% 0.75/0.95  508 [hyper,498,6,455,factor_simp] {+} mustard(cole)|both(dix).
% 0.75/0.95  513 [hyper,508,20,factor_simp] {+} both(dix)|both(lang).
% 0.75/0.95  514 [hyper,508,10,389,factor_simp] {+} both(dix)|both(cole).
% 0.75/0.95  522 [hyper,513,5,409] {+} both(dix)|oneof(cole).
% 0.75/0.95  534 [hyper,522,5,514,factor_simp] {+} both(dix).
% 0.75/0.95  535 [hyper,534,5,497] {+} oneof(cole).
% 0.75/0.95  538 [hyper,534,1] {+} salt(dix).
% 0.75/0.95  540 [hyper,538,23] {+} neither(barry)|both(cole).
% 0.75/0.95  543 [hyper,540,10,407] {+} both(cole).
% 0.75/0.95  544 [hyper,543,5,535] {-} $F.
% 0.75/0.95  
% 0.75/0.95  % SZS output end Refutation
% 0.75/0.95  ------------ end of proof -------------
% 0.75/0.95  
% 0.75/0.95  
% 0.75/0.95  Search stopped by max_proofs option.
% 0.75/0.95  
% 0.75/0.95  
% 0.75/0.95  Search stopped by max_proofs option.
% 0.75/0.95  
% 0.75/0.95  ============ end of search ============
% 0.75/0.95  
% 0.75/0.95  ----------- soft-scott stats ----------
% 0.75/0.95  
% 0.75/0.95  true clauses given         153      (72.9%)
% 0.75/0.95  false clauses given         57
% 0.75/0.95  
% 0.75/0.95        FALSE     TRUE
% 0.75/0.95  tot:  0         0      (-nan% true)
% 0.75/0.95  
% 0.75/0.95  
% 0.75/0.95  Model 28 [ 23 0 131 ] (0.00 seconds, 1678 Inserts)
% 0.75/0.95  
% 0.75/0.95  That finishes the proof of the theorem.
% 0.75/0.95  
% 0.75/0.95  Process 24376 finished Sat May 28 19:56:00 2022
%------------------------------------------------------------------------------