TSTP Solution File: KRS001-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : KRS001-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n021.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 03:29:26 EDT 2022

% Result   : Unsatisfiable 0.36s 0.56s
% Output   : Refutation 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : KRS001-1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12  % Command  : sos-script %s
% 0.11/0.33  % Computer : n021.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Tue Jun  7 15:45:06 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.11/0.34  ----- Otter 3.2, August 2001 -----
% 0.11/0.34  The process was started by sandbox on n021.cluster.edu,
% 0.11/0.34  Tue Jun  7 15:45:06 2022
% 0.11/0.34  The command was "./sos".  The process ID is 31240.
% 0.11/0.34  
% 0.11/0.34  set(prolog_style_variables).
% 0.11/0.34  set(auto).
% 0.11/0.34     dependent: set(auto1).
% 0.11/0.34     dependent: set(process_input).
% 0.11/0.34     dependent: clear(print_kept).
% 0.11/0.34     dependent: clear(print_new_demod).
% 0.11/0.34     dependent: clear(print_back_demod).
% 0.11/0.34     dependent: clear(print_back_sub).
% 0.11/0.34     dependent: set(control_memory).
% 0.11/0.34     dependent: assign(max_mem, 12000).
% 0.11/0.34     dependent: assign(pick_given_ratio, 4).
% 0.11/0.34     dependent: assign(stats_level, 1).
% 0.11/0.34     dependent: assign(pick_semantic_ratio, 3).
% 0.11/0.34     dependent: assign(sos_limit, 5000).
% 0.11/0.34     dependent: assign(max_weight, 60).
% 0.11/0.34  clear(print_given).
% 0.11/0.34  
% 0.11/0.34  list(usable).
% 0.11/0.34  
% 0.11/0.34  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.11/0.34  
% 0.11/0.34  This ia a non-Horn set with equality.  The strategy will be
% 0.11/0.34  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.11/0.34  unit deletion, with positive clauses in sos and nonpositive
% 0.11/0.34  clauses in usable.
% 0.11/0.34  
% 0.11/0.34     dependent: set(knuth_bendix).
% 0.11/0.34     dependent: set(para_from).
% 0.11/0.34     dependent: set(para_into).
% 0.11/0.34     dependent: clear(para_from_right).
% 0.11/0.34     dependent: clear(para_into_right).
% 0.11/0.34     dependent: set(para_from_vars).
% 0.11/0.34     dependent: set(eq_units_both_ways).
% 0.11/0.34     dependent: set(dynamic_demod_all).
% 0.11/0.34     dependent: set(dynamic_demod).
% 0.11/0.34     dependent: set(order_eq).
% 0.11/0.34     dependent: set(back_demod).
% 0.11/0.34     dependent: set(lrpo).
% 0.11/0.34     dependent: set(hyper_res).
% 0.11/0.34     dependent: set(unit_deletion).
% 0.11/0.34     dependent: set(factor).
% 0.11/0.34  
% 0.11/0.34  ------------> process usable:
% 0.11/0.34  
% 0.11/0.34  ------------> process sos:
% 0.11/0.34  
% 0.11/0.34  ======= end of input processing =======
% 0.11/0.38  
% 0.11/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.11/0.38  
% 0.11/0.38  Stopped by limit on number of solutions
% 0.11/0.38  
% 0.11/0.38  
% 0.11/0.38  -------------- Softie stats --------------
% 0.11/0.38  
% 0.11/0.38  UPDATE_STOP: 300
% 0.11/0.38  SFINDER_TIME_LIMIT: 2
% 0.11/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.11/0.38  number of clauses in intial UL: 15
% 0.11/0.38  number of clauses initially in problem: 18
% 0.11/0.38  percentage of clauses intially in UL: 83
% 0.11/0.38  percentage of distinct symbols occuring in initial UL: 91
% 0.11/0.38  percent of all initial clauses that are short: 100
% 0.11/0.38  absolute distinct symbol count: 12
% 0.11/0.38     distinct predicate count: 7
% 0.11/0.38     distinct function count: 4
% 0.11/0.38     distinct constant count: 1
% 0.11/0.38  
% 0.11/0.38  ---------- no more Softie stats ----------
% 0.11/0.38  
% 0.11/0.38  
% 0.11/0.38  
% 0.11/0.38  =========== start of search ===========
% 0.36/0.56  
% 0.36/0.56  -------- PROOF -------- 
% 0.36/0.56  % SZS status Unsatisfiable
% 0.36/0.56  % SZS output start Refutation
% 0.36/0.56  
% 0.36/0.56  Model 2 [ 1 0 57 ] (0.00 seconds, 9080 Inserts)
% 0.36/0.56  
% 0.36/0.56  Model 3 [ 2 0 76 ] (0.00 seconds, 2102 Inserts)
% 0.36/0.56  
% 0.36/0.56  Model 4 [ 2 0 59 ] (0.00 seconds, 16534 Inserts)
% 0.36/0.56  
% 0.36/0.56  Model 5 [ 3 1 63 ] (0.00 seconds, 3365 Inserts)
% 0.36/0.56  
% 0.36/0.56  Model 6 [ 3 1 113 ] (0.00 seconds, 2993 Inserts)
% 0.36/0.56  
% 0.36/0.56  Stopped by limit on insertions
% 0.36/0.56  
% 0.36/0.56  Model 7 [ 4 1 109 ] (0.00 seconds, 250000 Inserts)
% 0.36/0.56  
% 0.36/0.56  Model 8 [ 3 1 93 ] (0.00 seconds, 23489 Inserts)
% 0.36/0.56  
% 0.36/0.56  Model 9 [ 3 1 214 ] (0.00 seconds, 23365 Inserts)
% 0.36/0.56  
% 0.36/0.56  -----> EMPTY CLAUSE at   0.19 sec ----> 60 [hyper,50,3,23] {-} $F.
% 0.36/0.56  
% 0.36/0.56  Length of proof is 7.  Level of proof is 4.
% 0.36/0.56  
% 0.36/0.56  ---------------- PROOF ----------------
% 0.36/0.56  % SZS status Unsatisfiable
% 0.36/0.56  % SZS output start Refutation
% 0.36/0.56  
% 0.36/0.56  1 [] {+} r2least(A)| -c(A).
% 0.36/0.56  3 [] {+} -r2least(A)| -equalish(u1r2(A),u1r1(A)).
% 0.36/0.56  4 [] {+} r(A,u1r1(A))| -r2least(A).
% 0.36/0.56  5 [] {+} r(A,u1r2(A))| -r2least(A).
% 0.36/0.56  7 [] {+} r1most(A)| -d(A).
% 0.36/0.56  9 [] {+} equalish(A,B)| -r1most(C)| -r(C,A)| -r(C,B).
% 0.36/0.56  11 [] {+} d(A)| -e(A).
% 0.36/0.56  12 [] {+} c(A)| -e(A).
% 0.36/0.56  16 [] {-} e(exist).
% 0.36/0.56  19 [hyper,16,12] {+} c(exist).
% 0.36/0.56  20 [hyper,16,11] {+} d(exist).
% 0.36/0.56  23 [hyper,19,1] {+} r2least(exist).
% 0.36/0.56  26 [hyper,20,7] {+} r1most(exist).
% 0.36/0.56  29 [hyper,23,5] {+} r(exist,u1r2(exist)).
% 0.36/0.56  30 [hyper,23,4] {+} r(exist,u1r1(exist)).
% 0.36/0.56  50 [hyper,30,9,26,29] {-} equalish(u1r2(exist),u1r1(exist)).
% 0.36/0.56  60 [hyper,50,3,23] {-} $F.
% 0.36/0.56  
% 0.36/0.56  % SZS output end Refutation
% 0.36/0.56  ------------ end of proof -------------
% 0.36/0.56  
% 0.36/0.56  
% 0.36/0.56  Search stopped by max_proofs option.
% 0.36/0.56  
% 0.36/0.56  
% 0.36/0.56  Search stopped by max_proofs option.
% 0.36/0.56  
% 0.36/0.56  ============ end of search ============
% 0.36/0.56  
% 0.36/0.56  ----------- soft-scott stats ----------
% 0.36/0.56  
% 0.36/0.56  true clauses given           2      (15.4%)
% 0.36/0.56  false clauses given         11
% 0.36/0.56  
% 0.36/0.56        FALSE     TRUE
% 0.36/0.56     6  0         2
% 0.36/0.56     8  0         1
% 0.36/0.56    10  0         9
% 0.36/0.56    12  0         12
% 0.36/0.56    14  0         4
% 0.36/0.56    18  0         2
% 0.36/0.56  tot:  0         30      (100.0% true)
% 0.36/0.56  
% 0.36/0.56  
% 0.36/0.56  Model 9 [ 3 1 214 ] (0.00 seconds, 23365 Inserts)
% 0.36/0.56  
% 0.36/0.56  That finishes the proof of the theorem.
% 0.36/0.56  
% 0.36/0.56  Process 31240 finished Tue Jun  7 15:45:06 2022
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