TSTP Solution File: KRS107+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : KRS107+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n025.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 03:29:47 EDT 2022

% Result   : Unsatisfiable 1.06s 1.32s
% Output   : Refutation 1.06s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS107+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n025.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 : Tue Jun  7 10:00:33 EDT 2022
% 0.19/0.34  % CPUTime  : 
% 0.19/0.36  ----- Otter 3.2, August 2001 -----
% 0.19/0.36  The process was started by sandbox on n025.cluster.edu,
% 0.19/0.36  Tue Jun  7 10:00:33 2022
% 0.19/0.36  The command was "./sos".  The process ID is 26551.
% 0.19/0.36  
% 0.19/0.36  set(prolog_style_variables).
% 0.19/0.36  set(auto).
% 0.19/0.36     dependent: set(auto1).
% 0.19/0.36     dependent: set(process_input).
% 0.19/0.36     dependent: clear(print_kept).
% 0.19/0.36     dependent: clear(print_new_demod).
% 0.19/0.36     dependent: clear(print_back_demod).
% 0.19/0.36     dependent: clear(print_back_sub).
% 0.19/0.36     dependent: set(control_memory).
% 0.19/0.36     dependent: assign(max_mem, 12000).
% 0.19/0.36     dependent: assign(pick_given_ratio, 4).
% 0.19/0.36     dependent: assign(stats_level, 1).
% 0.19/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.36     dependent: assign(sos_limit, 5000).
% 0.19/0.36     dependent: assign(max_weight, 60).
% 0.19/0.36  clear(print_given).
% 0.19/0.36  
% 0.19/0.36  formula_list(usable).
% 0.19/0.36  
% 0.19/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.19/0.36  
% 0.19/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.19/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.36  clauses in usable.
% 0.19/0.36  
% 0.19/0.36     dependent: set(knuth_bendix).
% 0.19/0.36     dependent: set(para_from).
% 0.19/0.36     dependent: set(para_into).
% 0.19/0.36     dependent: clear(para_from_right).
% 0.19/0.36     dependent: clear(para_into_right).
% 0.19/0.36     dependent: set(para_from_vars).
% 0.19/0.36     dependent: set(eq_units_both_ways).
% 0.19/0.36     dependent: set(dynamic_demod_all).
% 0.19/0.36     dependent: set(dynamic_demod).
% 0.19/0.36     dependent: set(order_eq).
% 0.19/0.36     dependent: set(back_demod).
% 0.19/0.36     dependent: set(lrpo).
% 0.19/0.36     dependent: set(hyper_res).
% 0.19/0.36     dependent: set(unit_deletion).
% 0.19/0.36     dependent: set(factor).
% 0.19/0.36  
% 0.19/0.36  ------------> process usable:
% 0.19/0.36  33 back subsumes 7.
% 0.19/0.36  
% 0.19/0.36  ------------> process sos:
% 0.19/0.36  68 back subsumes 8.
% 0.19/0.36    Following clause subsumed by 72 during input processing: 0 [copy,72,flip.1] {-} A=A.
% 0.19/0.36  72 back subsumes 67.
% 0.19/0.36  72 back subsumes 66.
% 0.19/0.36  72 back subsumes 65.
% 0.19/0.36  72 back subsumes 64.
% 0.19/0.36  72 back subsumes 63.
% 0.19/0.36  
% 0.19/0.36  ======= end of input processing =======
% 0.19/0.40  
% 0.19/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.40  
% 0.19/0.40  Stopped by limit on number of solutions
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  -------------- Softie stats --------------
% 0.19/0.40  
% 0.19/0.40  UPDATE_STOP: 300
% 0.19/0.40  SFINDER_TIME_LIMIT: 2
% 0.19/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.40  number of clauses in intial UL: 60
% 0.19/0.40  number of clauses initially in problem: 65
% 0.19/0.40  percentage of clauses intially in UL: 92
% 0.19/0.40  percentage of distinct symbols occuring in initial UL: 89
% 0.19/0.40  percent of all initial clauses that are short: 100
% 0.19/0.40  absolute distinct symbol count: 28
% 0.19/0.40     distinct predicate count: 22
% 0.19/0.40     distinct function count: 5
% 0.19/0.40     distinct constant count: 1
% 0.19/0.40  
% 0.19/0.40  ---------- no more Softie stats ----------
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.40  
% 0.19/0.40  Stopped by limit on number of solutions
% 0.19/0.40  
% 0.19/0.40  =========== start of search ===========
% 1.06/1.32  
% 1.06/1.32  -------- PROOF -------- 
% 1.06/1.32  % SZS status Theorem
% 1.06/1.32  % SZS output start Refutation
% 1.06/1.32  
% 1.06/1.32  Stopped by limit on insertions
% 1.06/1.32  
% 1.06/1.32  Model 3 [ 1 1 416 ] (0.00 seconds, 250000 Inserts)
% 1.06/1.32  
% 1.06/1.32  Stopped by limit on insertions
% 1.06/1.32  
% 1.06/1.32  Model 4 [ 2 1 268 ] (0.00 seconds, 250000 Inserts)
% 1.06/1.32  
% 1.06/1.32  Model 5 [ 1 1 350 ] (0.00 seconds, 40272 Inserts)
% 1.06/1.32  
% 1.06/1.32  Model 6 [ 1 1 643 ] (0.00 seconds, 840 Inserts)
% 1.06/1.32  
% 1.06/1.32  Stopped by limit on insertions
% 1.06/1.32  
% 1.06/1.32  Model 7 [ 4 0 290 ] (0.00 seconds, 250000 Inserts)
% 1.06/1.32  
% 1.06/1.32  Stopped by limit on insertions
% 1.06/1.32  
% 1.06/1.32  Model 8 [ 6 0 293 ] (0.00 seconds, 250000 Inserts)
% 1.06/1.32  
% 1.06/1.32  Stopped by limit on insertions
% 1.06/1.32  
% 1.06/1.32  Model 9 [ 4 1 27427 ] (0.00 seconds, 250000 Inserts)
% 1.06/1.32  
% 1.06/1.32  Stopped by limit on insertions
% 1.06/1.32  
% 1.06/1.32  Model 10 [ 3 2 157832 ] (0.00 seconds, 250000 Inserts)
% 1.06/1.32  
% 1.06/1.32  Stopped by limit on insertions
% 1.06/1.32  
% 1.06/1.32  Model 11 [ 4 0 288 ] (0.00 seconds, 250000 Inserts)
% 1.06/1.32  
% 1.06/1.32  Stopped by limit on insertions
% 1.06/1.32  
% 1.06/1.32  Model 12 [ 4 0 279 ] (0.00 seconds, 250000 Inserts)
% 1.06/1.32  
% 1.06/1.32  Stopped by limit on insertions
% 1.06/1.32  
% 1.06/1.32  Model 13 [ 6 1 376 ] (0.00 seconds, 250000 Inserts)
% 1.06/1.32  
% 1.06/1.32  Stopped by limit on insertions
% 1.06/1.32  
% 1.06/1.32  Model 14 [ 5 0 3775 ] (0.00 seconds, 250000 Inserts)
% 1.06/1.32  
% 1.06/1.32  Model 15 [ 1 0 446 ] (0.00 seconds, 638 Inserts)
% 1.06/1.32  
% 1.06/1.32  Stopped by limit on insertions
% 1.06/1.32  
% 1.06/1.32  Model 16 [ 6 0 1074 ] (0.00 seconds, 250000 Inserts)
% 1.06/1.32  
% 1.06/1.32  Stopped by limit on insertions
% 1.06/1.32  
% 1.06/1.32  Model 17 [ 3 0 751 ] (0.00 seconds, 250000 Inserts)
% 1.06/1.32  
% 1.06/1.32  -----> EMPTY CLAUSE at   0.94 sec ----> 332 [hyper,316,49,130] {-} $F.
% 1.06/1.32  
% 1.06/1.32  Length of proof is 13.  Level of proof is 6.
% 1.06/1.32  
% 1.06/1.32  ---------------- PROOF ----------------
% 1.06/1.32  % SZS status Theorem
% 1.06/1.32  % SZS output start Refutation
% 1.06/1.32  
% 1.06/1.32  35 [] {+} -cUnsatisfiable(A)|rrx3(A,$f1(A)).
% 1.06/1.32  36 [] {+} -cUnsatisfiable(A)|cc1($f1(A)).
% 1.06/1.32  37 [] {+} -cUnsatisfiable(A)|rrx4(A,$f2(A)).
% 1.06/1.32  38 [] {+} -cUnsatisfiable(A)|cc2($f2(A)).
% 1.06/1.32  39 [] {+} -cUnsatisfiable(A)|ca_Cx1(A).
% 1.06/1.32  43 [] {+} ca_Ax2(A)| -cc2(A)| -cc1(A).
% 1.06/1.32  44 [] {+} -ca_Cx1(A)|ra_Px1(A,$f3(A)).
% 1.06/1.32  48 [] {+} ca_Cx1xcomp(A)| -rrx3(A,B)| -ca_Ax2(B).
% 1.06/1.32  49 [] {+} -ca_Cx1xcomp(A)| -ra_Px1(A,B).
% 1.06/1.32  50 [] {+} -rrx(A,B)| -rrx(A,C)|B=C.
% 1.06/1.32  59 [] {+} -rrx4(A,B)|rrx(A,B).
% 1.06/1.32  62 [] {+} -rrx3(A,B)|rrx(A,B).
% 1.06/1.32  70 [] {+} ca_Cx1xcomp(A)|ra_Px1(A,$f5(A)).
% 1.06/1.32  71 [] {-} cUnsatisfiable(i2003_11_14_17_21_01226).
% 1.06/1.32  73 [hyper,71,39] {+} ca_Cx1(i2003_11_14_17_21_01226).
% 1.06/1.32  74 [hyper,71,38] {+} cc2($f2(i2003_11_14_17_21_01226)).
% 1.06/1.32  75 [hyper,71,37] {+} rrx4(i2003_11_14_17_21_01226,$f2(i2003_11_14_17_21_01226)).
% 1.06/1.32  76 [hyper,71,36] {+} cc1($f1(i2003_11_14_17_21_01226)).
% 1.06/1.32  77 [hyper,71,35] {+} rrx3(i2003_11_14_17_21_01226,$f1(i2003_11_14_17_21_01226)).
% 1.06/1.32  83 [hyper,75,59] {+} rrx(i2003_11_14_17_21_01226,$f2(i2003_11_14_17_21_01226)).
% 1.06/1.32  100 [hyper,73,44] {+} ra_Px1(i2003_11_14_17_21_01226,$f3(i2003_11_14_17_21_01226)).
% 1.06/1.32  113 [hyper,77,62] {+} rrx(i2003_11_14_17_21_01226,$f1(i2003_11_14_17_21_01226)).
% 1.06/1.32  130 [hyper,100,49,70] {+} ra_Px1(i2003_11_14_17_21_01226,$f5(i2003_11_14_17_21_01226)).
% 1.06/1.32  212,211 [hyper,113,50,83] {-} $f2(i2003_11_14_17_21_01226)=$f1(i2003_11_14_17_21_01226).
% 1.06/1.32  250 [back_demod,74,demod,212] {-} cc2($f1(i2003_11_14_17_21_01226)).
% 1.06/1.32  261 [hyper,250,43,76] {+} ca_Ax2($f1(i2003_11_14_17_21_01226)).
% 1.06/1.32  316 [hyper,261,48,77] {-} ca_Cx1xcomp(i2003_11_14_17_21_01226).
% 1.06/1.32  332 [hyper,316,49,130] {-} $F.
% 1.06/1.32  
% 1.06/1.32  % SZS output end Refutation
% 1.06/1.32  ------------ end of proof -------------
% 1.06/1.32  
% 1.06/1.32  
% 1.06/1.32  Search stopped by max_proofs option.
% 1.06/1.32  
% 1.06/1.32  
% 1.06/1.32  Search stopped by max_proofs option.
% 1.06/1.32  
% 1.06/1.32  ============ end of search ============
% 1.06/1.32  
% 1.06/1.32  ----------- soft-scott stats ----------
% 1.06/1.32  
% 1.06/1.32  true clauses given           6      (22.2%)
% 1.06/1.32  false clauses given         21
% 1.06/1.32  
% 1.06/1.32        FALSE     TRUE
% 1.06/1.32     4  0         1
% 1.06/1.32     6  0         5
% 1.06/1.32     7  0         4
% 1.06/1.32     8  1         7
% 1.06/1.32     9  2         38
% 1.06/1.32    10  16        119
% 1.06/1.32    11  0         5
% 1.06/1.32    12  3         2
% 1.06/1.32    13  0         10
% 1.06/1.32    14  0         30
% 1.06/1.32  tot:  22        221      (90.9% true)
% 1.06/1.32  
% 1.06/1.32  
% 1.06/1.32  Model 17 [ 3 0 751 ] (0.00 seconds, 250000 Inserts)
% 1.06/1.32  
% 1.06/1.32  That finishes the proof of the theorem.
% 1.06/1.32  
% 1.06/1.32  Process 26551 finished Tue Jun  7 10:00:34 2022
%------------------------------------------------------------------------------