TSTP Solution File: KRS095+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : KRS095+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n019.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 03:29:45 EDT 2022

% Result   : Unsatisfiable 0.18s 0.45s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS095+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n019.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 : Tue Jun  7 06:16:55 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  ----- Otter 3.2, August 2001 -----
% 0.12/0.35  The process was started by sandbox2 on n019.cluster.edu,
% 0.12/0.35  Tue Jun  7 06:16:55 2022
% 0.12/0.35  The command was "./sos".  The process ID is 17602.
% 0.12/0.35  
% 0.12/0.35  set(prolog_style_variables).
% 0.12/0.35  set(auto).
% 0.12/0.35     dependent: set(auto1).
% 0.12/0.35     dependent: set(process_input).
% 0.12/0.35     dependent: clear(print_kept).
% 0.12/0.35     dependent: clear(print_new_demod).
% 0.12/0.35     dependent: clear(print_back_demod).
% 0.12/0.35     dependent: clear(print_back_sub).
% 0.12/0.35     dependent: set(control_memory).
% 0.12/0.35     dependent: assign(max_mem, 12000).
% 0.12/0.35     dependent: assign(pick_given_ratio, 4).
% 0.12/0.35     dependent: assign(stats_level, 1).
% 0.12/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35     dependent: assign(sos_limit, 5000).
% 0.12/0.35     dependent: assign(max_weight, 60).
% 0.12/0.35  clear(print_given).
% 0.12/0.35  
% 0.12/0.35  formula_list(usable).
% 0.12/0.35  
% 0.12/0.35  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.12/0.35  
% 0.12/0.35  This ia a non-Horn set with equality.  The strategy will be
% 0.12/0.35  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.35  unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.35  clauses in usable.
% 0.12/0.35  
% 0.12/0.35     dependent: set(knuth_bendix).
% 0.12/0.35     dependent: set(para_from).
% 0.12/0.35     dependent: set(para_into).
% 0.12/0.35     dependent: clear(para_from_right).
% 0.12/0.35     dependent: clear(para_into_right).
% 0.12/0.35     dependent: set(para_from_vars).
% 0.12/0.35     dependent: set(eq_units_both_ways).
% 0.12/0.35     dependent: set(dynamic_demod_all).
% 0.12/0.35     dependent: set(dynamic_demod).
% 0.12/0.35     dependent: set(order_eq).
% 0.12/0.35     dependent: set(back_demod).
% 0.12/0.35     dependent: set(lrpo).
% 0.12/0.35     dependent: set(hyper_res).
% 0.12/0.35     dependent: set(unit_deletion).
% 0.12/0.35     dependent: set(factor).
% 0.12/0.35  
% 0.12/0.35  ------------> process usable:
% 0.12/0.35  10 back subsumes 4.
% 0.12/0.35  
% 0.12/0.35  ------------> process sos:
% 0.12/0.35  24 back subsumes 5.
% 0.12/0.35    Following clause subsumed by 27 during input processing: 0 [copy,27,flip.1] {-} A=A.
% 0.12/0.35  27 back subsumes 23.
% 0.12/0.35  27 back subsumes 22.
% 0.12/0.35  27 back subsumes 21.
% 0.12/0.35  27 back subsumes 20.
% 0.12/0.35  
% 0.12/0.35  ======= end of input processing =======
% 0.12/0.39  
% 0.12/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.39  
% 0.12/0.39  Stopped by limit on number of solutions
% 0.12/0.39  
% 0.12/0.39  
% 0.12/0.39  -------------- Softie stats --------------
% 0.12/0.39  
% 0.12/0.39  UPDATE_STOP: 300
% 0.12/0.39  SFINDER_TIME_LIMIT: 2
% 0.12/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.39  number of clauses in intial UL: 17
% 0.12/0.39  number of clauses initially in problem: 21
% 0.12/0.39  percentage of clauses intially in UL: 80
% 0.12/0.39  percentage of distinct symbols occuring in initial UL: 85
% 0.12/0.39  percent of all initial clauses that are short: 100
% 0.12/0.39  absolute distinct symbol count: 14
% 0.12/0.39     distinct predicate count: 9
% 0.12/0.39     distinct function count: 4
% 0.12/0.39     distinct constant count: 1
% 0.12/0.39  
% 0.12/0.39  ---------- no more Softie stats ----------
% 0.12/0.39  
% 0.12/0.39  
% 0.12/0.39  
% 0.12/0.39  Model 2 (0.00 seconds, 0 Inserts)
% 0.12/0.39  
% 0.12/0.39  Stopped by limit on number of solutions
% 0.12/0.39  
% 0.12/0.39  =========== start of search ===========
% 0.18/0.45  
% 0.18/0.45  -------- PROOF -------- 
% 0.18/0.45  % SZS status Theorem
% 0.18/0.45  % SZS output start Refutation
% 0.18/0.45  
% 0.18/0.45  Model 3 [ 1 1 106 ] (0.00 seconds, 482 Inserts)
% 0.18/0.45  
% 0.18/0.45  Model 4 [ 1 1 112 ] (0.00 seconds, 530 Inserts)
% 0.18/0.45  
% 0.18/0.45  Model 5 [ 1 0 110 ] (0.00 seconds, 553 Inserts)
% 0.18/0.45  
% 0.18/0.45  -----> EMPTY CLAUSE at   0.07 sec ----> 107 [hyper,49,14,26] {-} $F.
% 0.18/0.45  
% 0.18/0.45  Length of proof is 3.  Level of proof is 2.
% 0.18/0.45  
% 0.18/0.45  ---------------- PROOF ----------------
% 0.18/0.45  % SZS status Theorem
% 0.18/0.45  % SZS output start Refutation
% 0.18/0.45  
% 0.18/0.45  12 [] {+} -cUnsatisfiable(A)|rr(A,$f2(A)).
% 0.18/0.45  13 [] {+} -cUnsatisfiable(A)|rr(A,$f1(A)).
% 0.18/0.45  14 [] {+} -cUnsatisfiable(A)|$f2(A)!=$f1(A).
% 0.18/0.45  15 [] {+} -cUnsatisfiable(A)| -rr(A,B)| -rr(A,C)|B=C.
% 0.18/0.45  26 [] {-} cUnsatisfiable(i2003_11_14_17_20_14253).
% 0.18/0.45  28 [hyper,26,13] {+} rr(i2003_11_14_17_20_14253,$f1(i2003_11_14_17_20_14253)).
% 0.18/0.45  29 [hyper,26,12] {+} rr(i2003_11_14_17_20_14253,$f2(i2003_11_14_17_20_14253)).
% 0.18/0.45  49 [hyper,28,15,26,29] {+} $f2(i2003_11_14_17_20_14253)=$f1(i2003_11_14_17_20_14253).
% 0.18/0.45  107 [hyper,49,14,26] {-} $F.
% 0.18/0.45  
% 0.18/0.45  % SZS output end Refutation
% 0.18/0.45  ------------ end of proof -------------
% 0.18/0.45  
% 0.18/0.45  
% 0.18/0.45  Search stopped by max_proofs option.
% 0.18/0.45  
% 0.18/0.45  
% 0.18/0.45  Search stopped by max_proofs option.
% 0.18/0.45  
% 0.18/0.45  ============ end of search ============
% 0.18/0.45  
% 0.18/0.45  ----------- soft-scott stats ----------
% 0.18/0.45  
% 0.18/0.45  true clauses given           2      (22.2%)
% 0.18/0.45  false clauses given          7
% 0.18/0.45  
% 0.18/0.45        FALSE     TRUE
% 0.18/0.45    10  0         1
% 0.18/0.45    12  0         8
% 0.18/0.45    13  0         1
% 0.18/0.45    15  0         1
% 0.18/0.45    16  0         12
% 0.18/0.45    17  0         6
% 0.18/0.45    20  0         4
% 0.18/0.45    22  0         4
% 0.18/0.45    24  0         16
% 0.18/0.45    25  0         8
% 0.18/0.45    26  4         4
% 0.18/0.45    27  0         4
% 0.18/0.45  tot:  4         69      (94.5% true)
% 0.18/0.45  
% 0.18/0.45  
% 0.18/0.45  Model 5 [ 1 0 110 ] (0.00 seconds, 553 Inserts)
% 0.18/0.45  
% 0.18/0.45  That finishes the proof of the theorem.
% 0.18/0.45  
% 0.18/0.45  Process 17602 finished Tue Jun  7 06:16:55 2022
%------------------------------------------------------------------------------