TSTP Solution File: NUN076+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : NUN076+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n022.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 16:38:32 EDT 2022

% Result   : Theorem 4.55s 4.78s
% Output   : Refutation 4.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : NUN076+1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.14  % Command  : sos-script %s
% 0.14/0.36  % Computer : n022.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % 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 : Thu Jun  2 08:54:21 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 sandbox on n022.cluster.edu,
% 0.14/0.38  Thu Jun  2 08:54:22 2022
% 0.14/0.38  The command was "./sos".  The process ID is 8930.
% 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  formula_list(usable).
% 0.14/0.38  
% 0.14/0.38  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=7.
% 0.14/0.38  
% 0.14/0.38  This is a non-Horn set without equality.  The strategy
% 0.14/0.38  will be ordered hyper_res, ur_res, unit deletion, and
% 0.14/0.38  factoring, with satellites in sos and nuclei in usable.
% 0.14/0.38  
% 0.14/0.38     dependent: set(hyper_res).
% 0.14/0.38     dependent: set(factor).
% 0.14/0.38     dependent: set(unit_deletion).
% 0.14/0.38  
% 0.14/0.38  ------------> process usable:
% 0.14/0.38  
% 0.14/0.38  ------------> process sos:
% 0.14/0.38  44 back subsumes 36.
% 0.14/0.38  
% 0.14/0.38  ======= end of input processing =======
% 0.22/0.44  
% 0.22/0.44  Model 1 (0.00 seconds, 0 Inserts)
% 0.22/0.44  
% 0.22/0.44  Stopped by limit on number of solutions
% 0.22/0.44  
% 0.22/0.44  
% 0.22/0.44  -------------- Softie stats --------------
% 0.22/0.44  
% 0.22/0.44  UPDATE_STOP: 300
% 0.22/0.44  SFINDER_TIME_LIMIT: 2
% 0.22/0.44  SHORT_CLAUSE_CUTOFF: 4
% 0.22/0.44  number of clauses in intial UL: 42
% 0.22/0.44  number of clauses initially in problem: 64
% 0.22/0.44  percentage of clauses intially in UL: 65
% 0.22/0.44  percentage of distinct symbols occuring in initial UL: 36
% 0.22/0.44  percent of all initial clauses that are short: 100
% 0.22/0.44  absolute distinct symbol count: 25
% 0.22/0.44     distinct predicate count: 5
% 0.22/0.44     distinct function count: 19
% 0.22/0.44     distinct constant count: 1
% 0.22/0.44  
% 0.22/0.44  ---------- no more Softie stats ----------
% 0.22/0.44  
% 0.22/0.44  
% 0.22/0.44  
% 0.22/0.44  =========== start of search ===========
% 4.55/4.78  
% 4.55/4.78  -------- PROOF -------- 
% 4.55/4.78  % SZS status Theorem
% 4.55/4.78  % SZS output start Refutation
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Model 2 [ 1 1 502 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  Model 3 [ 1 0 258 ] (0.00 seconds, 958 Inserts)
% 4.55/4.78  
% 4.55/4.78  Model 4 [ 1 0 345 ] (0.00 seconds, 951 Inserts)
% 4.55/4.78  
% 4.55/4.78  Model 5 [ 1 1 3391 ] (0.00 seconds, 3800 Inserts)
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Model 6 [ 17 2 3045 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Model 7 [ 25 1 1774 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Model 8 [ 29 1 1762 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Model 9 [ 33 0 300 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Model 10 [ 50 0 588 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Model 11 [ 52 1 1168 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Model 12 [ 41 1 1210 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Model 13 [ 48 1 1861 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Model 14 [ 69 1 241 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Model 15 [ 46 1 268 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Model 16 [ 79 1 993 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Model 17 [ 45 1 1535 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Model 18 [ 86 0 296 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Model 19 [ 90 1 1253 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Model 20 [ 83 1 260 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Model 21 [ 47 0 397 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Model 22 [ 121 1 2517 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Model 23 [ 108 1 472 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Model 24 [ 59 1 267 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Stopped by limit on insertions
% 4.55/4.78  
% 4.55/4.78  Model 25 [ 81 3 34248 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  -----> EMPTY CLAUSE at   4.36 sec ----> 4224 [hyper,59,21,285,88,142,387,71,2892] {-} $F.
% 4.55/4.78  
% 4.55/4.78  Length of proof is 14.  Level of proof is 3.
% 4.55/4.78  
% 4.55/4.78  ---------------- PROOF ----------------
% 4.55/4.78  % SZS status Theorem
% 4.55/4.78  % SZS output start Refutation
% 4.55/4.78  
% 4.55/4.78  1 [] {+} id(A,$c1)| -r1(A).
% 4.55/4.78  4 [] {+} r2(A,B)| -id(B,$f1(A)).
% 4.55/4.78  9 [] {+} -id(A,B)|id(B,A).
% 4.55/4.78  10 [] {+} -id(A,B)|id(A,C)| -id(B,C).
% 4.55/4.78  12 [] {+} -id(A,B)| -r1(B)|r1(A).
% 4.55/4.78  13 [] {+} -id(A,B)| -id(C,D)| -r2(A,C)|r2(B,D).
% 4.55/4.78  14 [] {+} -id(A,B)| -id(C,D)| -r2(B,D)|r2(A,C).
% 4.55/4.78  15 [] {+} -id(A,B)| -id(C,D)| -id(E,F)| -r3(A,C,E)|r3(B,D,F).
% 4.55/4.78  16 [] {+} -id(A,B)| -id(C,D)| -id(E,F)| -r3(B,D,F)|r3(A,C,E).
% 4.55/4.78  21 [] {+} -id(A,B)| -r4(C,D,A)| -r2(E,C)| -r1(F)| -r2(F,E)| -id(G,B)| -r3(D,H,G).
% 4.55/4.78  28 [factor,16.1.3] {+} -id(A,B)| -id(C,D)| -r3(B,D,B)|r3(A,C,A).
% 4.55/4.78  44 [] {-} id(A,A).
% 4.55/4.78  55 [] {-} id($f13(A),A).
% 4.55/4.78  56 [] {+} r1($f12(A)).
% 4.55/4.78  57 [] {+} r3(A,$f12(A),$f13(A)).
% 4.55/4.78  58 [] {+} r1($f14(A)).
% 4.55/4.78  59 [] {+} r4(A,$f14(A),$f16(A)).
% 4.55/4.78  60 [] {+} id($f16(A),$f15(A)).
% 4.55/4.78  61 [] {+} r1($f15(A)).
% 4.55/4.78  68 [hyper,44,4] {-} r2(A,$f1(A)).
% 4.55/4.78  70 [hyper,56,1] {+} id($f12(A),$c1).
% 4.55/4.78  71 [hyper,58,1] {+} id($f14(A),$c1).
% 4.55/4.78  78 [hyper,55,10,55] {-} id($f13($f13(A)),A).
% 4.55/4.78  80 [hyper,55,9] {-} id(A,$f13(A)).
% 4.55/4.78  83 [hyper,55,4] {-} r2(A,$f13($f1(A))).
% 4.55/4.78  88 [hyper,68,13,55,44] {-} r2(A,$f1($f13(A))).
% 4.55/4.78  93 [hyper,80,10,80] {-} id(A,$f13($f13(A))).
% 4.55/4.78  142 [hyper,60,12,61] {+} r1($f16(A)).
% 4.55/4.78  285 [hyper,142,1] {+} id($f16(A),$c1).
% 4.55/4.78  387 [hyper,285,14,80,83] {+} r2($f16(A),$f1($c1)).
% 4.55/4.78  2594 [hyper,57,15,55,70,78] {-} r3(A,$c1,A).
% 4.55/4.78  2892 [hyper,2594,28,93,285] {-} r3(A,$f16(B),A).
% 4.55/4.78  4224 [hyper,59,21,285,88,142,387,71,2892] {-} $F.
% 4.55/4.78  
% 4.55/4.78  % SZS output end Refutation
% 4.55/4.78  ------------ end of proof -------------
% 4.55/4.78  
% 4.55/4.78  
% 4.55/4.78  Search stopped by max_proofs option.
% 4.55/4.78  
% 4.55/4.78  
% 4.55/4.78  Search stopped by max_proofs option.
% 4.55/4.78  
% 4.55/4.78  ============ end of search ============
% 4.55/4.78  
% 4.55/4.78  ----------- soft-scott stats ----------
% 4.55/4.78  
% 4.55/4.78  true clauses given           7      (15.2%)
% 4.55/4.78  false clauses given         39
% 4.55/4.78  
% 4.55/4.78        FALSE     TRUE
% 4.55/4.78     4  4         0
% 4.55/4.78     5  36        10
% 4.55/4.78     6  145       36
% 4.55/4.78     7  214       136
% 4.55/4.78     8  319       221
% 4.55/4.78     9  358       284
% 4.55/4.78    10  327       276
% 4.55/4.78    11  264       262
% 4.55/4.78    12  197       185
% 4.55/4.78    13  130       135
% 4.55/4.78    14  64        73
% 4.55/4.78    15  30        36
% 4.55/4.78    16  30        35
% 4.55/4.78    17  8         16
% 4.55/4.78    18  4         8
% 4.55/4.78  tot:  2130      1713      (44.6% true)
% 4.55/4.78  
% 4.55/4.78  
% 4.55/4.78  Model 25 [ 81 3 34248 ] (0.00 seconds, 250000 Inserts)
% 4.55/4.78  
% 4.55/4.78  That finishes the proof of the theorem.
% 4.55/4.78  
% 4.55/4.78  Process 8930 finished Thu Jun  2 08:54:26 2022
%------------------------------------------------------------------------------