TSTP Solution File: LAT005-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LAT005-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n028.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 06:45:12 EDT 2022

% Result   : Unsatisfiable 0.85s 1.04s
% Output   : Refutation 0.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Thu Jun 30 03:19:29 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.36  ----- Otter 3.2, August 2001 -----
% 0.14/0.36  The process was started by sandbox on n028.cluster.edu,
% 0.14/0.36  Thu Jun 30 03:19:29 2022
% 0.14/0.36  The command was "./sos".  The process ID is 3529.
% 0.14/0.36  
% 0.14/0.36  set(prolog_style_variables).
% 0.14/0.36  set(auto).
% 0.14/0.36     dependent: set(auto1).
% 0.14/0.36     dependent: set(process_input).
% 0.14/0.36     dependent: clear(print_kept).
% 0.14/0.36     dependent: clear(print_new_demod).
% 0.14/0.36     dependent: clear(print_back_demod).
% 0.14/0.36     dependent: clear(print_back_sub).
% 0.14/0.36     dependent: set(control_memory).
% 0.14/0.36     dependent: assign(max_mem, 12000).
% 0.14/0.36     dependent: assign(pick_given_ratio, 4).
% 0.14/0.36     dependent: assign(stats_level, 1).
% 0.14/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.36     dependent: assign(sos_limit, 5000).
% 0.14/0.36     dependent: assign(max_weight, 60).
% 0.14/0.36  clear(print_given).
% 0.14/0.36  
% 0.14/0.36  list(usable).
% 0.14/0.36  
% 0.14/0.36  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 0.14/0.36  
% 0.14/0.36  This is a Horn set without equality.  The strategy will
% 0.14/0.36  be hyperresolution, with satellites in sos and nuclei
% 0.14/0.36  in usable.
% 0.14/0.36  
% 0.14/0.36     dependent: set(hyper_res).
% 0.14/0.36     dependent: clear(order_hyper).
% 0.14/0.36  
% 0.14/0.36  ------------> process usable:
% 0.14/0.36  
% 0.14/0.36  ------------> process sos:
% 0.14/0.36  
% 0.14/0.36  ======= end of input processing =======
% 0.20/0.42  
% 0.20/0.42  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.42  
% 0.20/0.42  Stopped by limit on number of solutions
% 0.20/0.42  
% 0.20/0.42  
% 0.20/0.42  -------------- Softie stats --------------
% 0.20/0.42  
% 0.20/0.42  UPDATE_STOP: 300
% 0.20/0.42  SFINDER_TIME_LIMIT: 2
% 0.20/0.42  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.42  number of clauses in intial UL: 13
% 0.20/0.42  number of clauses initially in problem: 29
% 0.20/0.42  percentage of clauses intially in UL: 44
% 0.20/0.42  percentage of distinct symbols occuring in initial UL: 35
% 0.20/0.42  percent of all initial clauses that are short: 100
% 0.20/0.42  absolute distinct symbol count: 14
% 0.20/0.42     distinct predicate count: 2
% 0.20/0.42     distinct function count: 0
% 0.20/0.42     distinct constant count: 12
% 0.20/0.42  
% 0.20/0.42  ---------- no more Softie stats ----------
% 0.20/0.42  
% 0.20/0.42  
% 0.20/0.42  
% 0.20/0.42  Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.42  
% 0.20/0.42  Stopped by limit on number of solutions
% 0.20/0.42  
% 0.20/0.42  =========== start of search ===========
% 0.85/1.04  
% 0.85/1.04  -------- PROOF -------- 
% 0.85/1.04  % SZS status Unsatisfiable
% 0.85/1.04  % SZS output start Refutation
% 0.85/1.04  
% 0.85/1.04  Model 3 (0.00 seconds, 0 Inserts)
% 0.85/1.04  
% 0.85/1.04  Stopped by limit on number of solutions
% 0.85/1.04  
% 0.85/1.04  Model 4 (0.00 seconds, 0 Inserts)
% 0.85/1.04  
% 0.85/1.04  Stopped by limit on number of solutions
% 0.85/1.04  
% 0.85/1.04  Model 5 (0.00 seconds, 0 Inserts)
% 0.85/1.04  
% 0.85/1.04  Stopped by limit on number of solutions
% 0.85/1.04  
% 0.85/1.04  Model 6 (0.00 seconds, 0 Inserts)
% 0.85/1.04  
% 0.85/1.04  Stopped by limit on number of solutions
% 0.85/1.04  
% 0.85/1.04  Model 7 (0.00 seconds, 0 Inserts)
% 0.85/1.04  
% 0.85/1.04  Stopped by limit on number of solutions
% 0.85/1.04  
% 0.85/1.04  Model 8 (0.00 seconds, 0 Inserts)
% 0.85/1.04  
% 0.85/1.04  Stopped by limit on number of solutions
% 0.85/1.04  
% 0.85/1.04  Model 9 (0.00 seconds, 0 Inserts)
% 0.85/1.04  
% 0.85/1.04  Stopped by limit on number of solutions
% 0.85/1.04  
% 0.85/1.04  Model 10 (0.00 seconds, 0 Inserts)
% 0.85/1.04  
% 0.85/1.04  Stopped by limit on number of solutions
% 0.85/1.04  
% 0.85/1.04  Model 11 (0.00 seconds, 0 Inserts)
% 0.85/1.04  
% 0.85/1.04  Stopped by limit on number of solutions
% 0.85/1.04  
% 0.85/1.04  Model 12 (0.00 seconds, 0 Inserts)
% 0.85/1.04  
% 0.85/1.04  Stopped by limit on number of solutions
% 0.85/1.04  
% 0.85/1.04  Model 13 [ 1 2 901 ] (0.00 seconds, 4674 Inserts)
% 0.85/1.04  
% 0.85/1.04  Model 14 [ 1 1 537 ] (0.00 seconds, 4717 Inserts)
% 0.85/1.04  
% 0.85/1.04  Model 15 [ 1 1 561 ] (0.00 seconds, 4159 Inserts)
% 0.85/1.04  
% 0.85/1.04  Model 16 [ 1 1 174 ] (0.00 seconds, 4575 Inserts)
% 0.85/1.04  
% 0.85/1.04  Model 17 [ 1 2 149 ] (0.00 seconds, 4479 Inserts)
% 0.85/1.04  
% 0.85/1.04  Model 18 [ 1 2 671 ] (0.00 seconds, 4988 Inserts)
% 0.85/1.04  
% 0.85/1.04  Model 19 [ 2 1 168 ] (0.00 seconds, 10714 Inserts)
% 0.85/1.04  
% 0.85/1.04  Model 20 [ 2 1 104 ] (0.00 seconds, 10560 Inserts)
% 0.85/1.04  
% 0.85/1.04  Model 21 [ 2 1 118 ] (0.00 seconds, 10526 Inserts)
% 0.85/1.04  
% 0.85/1.04  Model 22 [ 2 2 6426 ] (0.00 seconds, 16517 Inserts)
% 0.85/1.04  
% 0.85/1.04  Model 23 [ 2 2 3536 ] (0.00 seconds, 13531 Inserts)
% 0.85/1.04  
% 0.85/1.04  Model 24 [ 2 1 185 ] (0.00 seconds, 10175 Inserts)
% 0.85/1.04  
% 0.85/1.04  Model 25 [ 2 2 2497 ] (0.00 seconds, 9693 Inserts)
% 0.85/1.04  
% 0.85/1.04  Model 26 [ 3 1 9661 ] (0.00 seconds, 25468 Inserts)
% 0.85/1.04  
% 0.85/1.04  Model 27 [ 3 1 711 ] (0.00 seconds, 13577 Inserts)
% 0.85/1.04  
% 0.85/1.04  Model 28 [ 3 1 4138 ] (0.00 seconds, 16033 Inserts)
% 0.85/1.04  
% 0.85/1.04  Model 29 [ 3 1 117 ] (0.00 seconds, 12429 Inserts)
% 0.85/1.04  
% 0.85/1.04  Model 30 [ 3 1 688 ] (0.00 seconds, 6367 Inserts)
% 0.85/1.04  
% 0.85/1.04  Model 31 [ 3 1 3403 ] (0.00 seconds, 7565 Inserts)
% 0.85/1.04  
% 0.85/1.04  Model 32 [ 4 1 247 ] (0.00 seconds, 10815 Inserts)
% 0.85/1.04  
% 0.85/1.04  ----> UNIT CONFLICT at   0.66 sec ----> 170 [binary,169.1,13.1] {-} $F.
% 0.85/1.04  
% 0.85/1.04  Length of proof is 22.  Level of proof is 6.
% 0.85/1.04  
% 0.85/1.04  ---------------- PROOF ----------------
% 0.85/1.04  % SZS status Unsatisfiable
% 0.85/1.04  % SZS output start Refutation
% 0.85/1.04  
% 0.85/1.04  1 [] {+} -meet(A,B,C)|meet(B,A,C).
% 0.85/1.04  2 [] {+} -join(A,B,C)|join(B,A,C).
% 0.85/1.04  4 [] {+} -join(A,B,C)|meet(A,C,A).
% 0.85/1.04  5 [] {+} -meet(A,B,C)| -meet(B,D,E)| -meet(A,E,F)|meet(C,D,F).
% 0.85/1.04  6 [] {+} -meet(A,B,C)| -meet(B,D,E)| -meet(C,D,F)|meet(A,E,F).
% 0.85/1.04  8 [] {+} -join(A,B,C)| -join(B,D,E)| -join(C,D,F)|join(A,E,F).
% 0.85/1.04  10 [] {+} -meet(A,B,A)| -join(A,C,D)| -meet(C,B,E)| -join(A,E,F)|meet(B,D,F).
% 0.85/1.04  13 [] {+} -meet(a2,b2,r1).
% 0.85/1.04  15 [] {+} join(A,A,A).
% 0.85/1.04  16 [] {+} join(n0,A,A).
% 0.85/1.04  18 [] {+} meet(A,A,A).
% 0.85/1.04  20 [] {+} meet(a,b,c).
% 0.85/1.04  22 [] {+} meet(c,r2,n0).
% 0.85/1.04  23 [] {+} meet(r2,b,e).
% 0.85/1.04  24 [] {+} join(a,b,c2).
% 0.85/1.04  26 [] {+} meet(c2,r1,n0).
% 0.85/1.04  27 [] {+} meet(r2,a,d).
% 0.85/1.04  28 [] {+} join(r1,e,a2).
% 0.85/1.04  29 [] {+} join(r1,d,b2).
% 0.85/1.04  33 [hyper,16,2] {+} join(A,n0,A).
% 0.85/1.04  34 [hyper,22,1] {+} meet(r2,c,n0).
% 0.85/1.04  36 [hyper,20,1] {+} meet(b,a,c).
% 0.85/1.04  38 [hyper,23,1] {+} meet(b,r2,e).
% 0.85/1.04  39 [hyper,26,1] {+} meet(r1,c2,n0).
% 0.85/1.04  42 [hyper,24,4] {+} meet(a,c2,a).
% 0.85/1.04  43 [hyper,24,2] {+} join(b,a,c2).
% 0.85/1.04  46 [hyper,28,4] {+} meet(r1,a2,r1).
% 0.85/1.04  56 [hyper,29,8,15,29] {+} join(r1,b2,b2).
% 0.85/1.04  59 [hyper,29,4] {+} meet(r1,b2,r1).
% 0.85/1.04  60 [hyper,29,2] {+} join(d,r1,b2).
% 0.85/1.04  68 [hyper,18,5,23,23] {+} meet(e,b,e).
% 0.85/1.04  75 [hyper,38,5,38,18] {+} meet(e,r2,e).
% 0.85/1.04  80 [hyper,36,5,23,34] {+} meet(e,a,n0).
% 0.85/1.04  94 [hyper,42,5,27,27] {+} meet(d,c2,d).
% 0.85/1.04  96 [hyper,43,4] {+} meet(b,c2,b).
% 0.85/1.04  110 [hyper,80,6,75,27] {+} meet(e,d,n0).
% 0.85/1.04  124 [hyper,94,10,60,39,33] {+} meet(c2,b2,d).
% 0.85/1.04  132 [hyper,96,5,68,68] {+} meet(e,c2,e).
% 0.85/1.04  149 [hyper,132,5,124,110] {+} meet(e,b2,n0).
% 0.85/1.04  164 [hyper,149,10,59,28,33] {-} meet(b2,a2,r1).
% 0.85/1.04  169 [hyper,164,10,46,56,15] {-} meet(a2,b2,r1).
% 0.85/1.04  170 [binary,169.1,13.1] {-} $F.
% 0.85/1.04  
% 0.85/1.04  % SZS output end Refutation
% 0.85/1.04  ------------ end of proof -------------
% 0.85/1.04  
% 0.85/1.04  
% 0.85/1.04  Search stopped by max_proofs option.
% 0.85/1.04  
% 0.85/1.04  
% 0.85/1.04  Search stopped by max_proofs option.
% 0.85/1.04  
% 0.85/1.04  ============ end of search ============
% 0.85/1.04  
% 0.85/1.04  ----------- soft-scott stats ----------
% 0.85/1.04  
% 0.85/1.04  true clauses given         102      (76.1%)
% 0.85/1.04  false clauses given         32
% 0.85/1.04  
% 0.85/1.04        FALSE     TRUE
% 0.85/1.04     4  0         19
% 0.85/1.04  tot:  0         19      (100.0% true)
% 0.85/1.04  
% 0.85/1.04  
% 0.85/1.04  Model 32 [ 4 -1 247 ] (0.00 seconds, 10815 Inserts)
% 0.85/1.04  
% 0.85/1.04  That finishes the proof of the theorem.
% 0.85/1.04  
% 0.85/1.04  Process 3529 finished Thu Jun 30 03:19:29 2022
%------------------------------------------------------------------------------