TSTP Solution File: KRS003-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : KRS003-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n017.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 0.55s 0.76s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS003-1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n017.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 18:18:02 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.36  ----- Otter 3.2, August 2001 -----
% 0.20/0.36  The process was started by sandbox on n017.cluster.edu,
% 0.20/0.36  Tue Jun  7 18:18:02 2022
% 0.20/0.36  The command was "./sos".  The process ID is 3596.
% 0.20/0.36  
% 0.20/0.36  set(prolog_style_variables).
% 0.20/0.36  set(auto).
% 0.20/0.36     dependent: set(auto1).
% 0.20/0.36     dependent: set(process_input).
% 0.20/0.36     dependent: clear(print_kept).
% 0.20/0.36     dependent: clear(print_new_demod).
% 0.20/0.36     dependent: clear(print_back_demod).
% 0.20/0.36     dependent: clear(print_back_sub).
% 0.20/0.36     dependent: set(control_memory).
% 0.20/0.36     dependent: assign(max_mem, 12000).
% 0.20/0.36     dependent: assign(pick_given_ratio, 4).
% 0.20/0.36     dependent: assign(stats_level, 1).
% 0.20/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.36     dependent: assign(sos_limit, 5000).
% 0.20/0.36     dependent: assign(max_weight, 60).
% 0.20/0.36  clear(print_given).
% 0.20/0.36  
% 0.20/0.36  list(usable).
% 0.20/0.36  
% 0.20/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.20/0.36  
% 0.20/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.20/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.20/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.20/0.36  clauses in usable.
% 0.20/0.36  
% 0.20/0.36     dependent: set(knuth_bendix).
% 0.20/0.36     dependent: set(para_from).
% 0.20/0.36     dependent: set(para_into).
% 0.20/0.36     dependent: clear(para_from_right).
% 0.20/0.36     dependent: clear(para_into_right).
% 0.20/0.36     dependent: set(para_from_vars).
% 0.20/0.36     dependent: set(eq_units_both_ways).
% 0.20/0.36     dependent: set(dynamic_demod_all).
% 0.20/0.36     dependent: set(dynamic_demod).
% 0.20/0.36     dependent: set(order_eq).
% 0.20/0.36     dependent: set(back_demod).
% 0.20/0.36     dependent: set(lrpo).
% 0.20/0.36     dependent: set(hyper_res).
% 0.20/0.36     dependent: set(unit_deletion).
% 0.20/0.36     dependent: set(factor).
% 0.20/0.36  
% 0.20/0.36  ------------> process usable:
% 0.20/0.36  
% 0.20/0.36  ------------> process sos:
% 0.20/0.36  
% 0.20/0.36  ======= end of input processing =======
% 0.20/0.39  
% 0.20/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.39  
% 0.20/0.39  Stopped by limit on number of solutions
% 0.20/0.39  
% 0.20/0.39  
% 0.20/0.39  -------------- Softie stats --------------
% 0.20/0.39  
% 0.20/0.39  UPDATE_STOP: 300
% 0.20/0.39  SFINDER_TIME_LIMIT: 2
% 0.20/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.39  number of clauses in intial UL: 14
% 0.20/0.39  number of clauses initially in problem: 18
% 0.20/0.39  percentage of clauses intially in UL: 77
% 0.20/0.39  percentage of distinct symbols occuring in initial UL: 92
% 0.20/0.39  percent of all initial clauses that are short: 100
% 0.20/0.39  absolute distinct symbol count: 13
% 0.20/0.39     distinct predicate count: 8
% 0.20/0.39     distinct function count: 4
% 0.20/0.39     distinct constant count: 1
% 0.20/0.39  
% 0.20/0.39  ---------- no more Softie stats ----------
% 0.20/0.39  
% 0.20/0.39  
% 0.20/0.39  
% 0.20/0.39  =========== start of search ===========
% 0.55/0.76  
% 0.55/0.76  -------- PROOF -------- 
% 0.55/0.76  % SZS status Unsatisfiable
% 0.55/0.76  % SZS output start Refutation
% 0.55/0.76  
% 0.55/0.76  Model 2 (0.00 seconds, 0 Inserts)
% 0.55/0.76  
% 0.55/0.76  Stopped by limit on number of solutions
% 0.55/0.76  
% 0.55/0.76  Model 3 [ 1 0 61 ] (0.00 seconds, 43979 Inserts)
% 0.55/0.76  
% 0.55/0.76  Model 4 [ 1 1 61 ] (0.00 seconds, 12155 Inserts)
% 0.55/0.76  
% 0.55/0.76  Model 5 [ 2 0 61 ] (0.00 seconds, 7429 Inserts)
% 0.55/0.76  
% 0.55/0.76  Model 6 [ 2 1 63 ] (0.00 seconds, 50554 Inserts)
% 0.55/0.76  
% 0.55/0.76  Model 7 [ 2 1 84 ] (0.00 seconds, 36702 Inserts)
% 0.55/0.76  
% 0.55/0.76  Model 8 [ 2 0 83 ] (0.00 seconds, 15997 Inserts)
% 0.55/0.76  
% 0.55/0.76  Model 9 [ 2 0 124 ] (0.00 seconds, 67712 Inserts)
% 0.55/0.76  
% 0.55/0.76  Stopped by limit on insertions
% 0.55/0.76  
% 0.55/0.76  Model 10 [ 4 0 61 ] (0.00 seconds, 250000 Inserts)
% 0.55/0.76  
% 0.55/0.76  Stopped by limit on insertions
% 0.55/0.76  
% 0.55/0.76  Model 11 [ 5 1 25618 ] (0.00 seconds, 250000 Inserts)
% 0.55/0.76  
% 0.55/0.76  -----> EMPTY CLAUSE at   0.37 sec ----> 57 [hyper,50,3,25] {-} $F.
% 0.55/0.76  
% 0.55/0.76  Length of proof is 7.  Level of proof is 4.
% 0.55/0.76  
% 0.55/0.76  ---------------- PROOF ----------------
% 0.55/0.76  % SZS status Unsatisfiable
% 0.55/0.76  % SZS output start Refutation
% 0.55/0.76  
% 0.55/0.76  1 [] {+} s2least(A)| -c(A).
% 0.55/0.76  3 [] {+} -s2least(A)| -equalish(u1r2(A),u1r1(A)).
% 0.55/0.76  4 [] {+} s(A,u1r1(A))| -s2least(A).
% 0.55/0.76  5 [] {+} s(A,u1r2(A))| -s2least(A).
% 0.55/0.76  7 [] {+} s1most(A)| -d(A).
% 0.55/0.76  9 [] {+} equalish(A,B)| -s1most(C)| -s(C,A)| -s(C,B).
% 0.55/0.76  11 [] {+} c(A)| -e(A).
% 0.55/0.76  12 [] {+} d(A)| -f(A).
% 0.55/0.76  15 [] {+} e(exist).
% 0.55/0.76  16 [] {+} f(exist).
% 0.55/0.76  19 [hyper,15,11] {+} c(exist).
% 0.55/0.76  22 [hyper,16,12] {+} d(exist).
% 0.55/0.76  25 [hyper,19,1] {+} s2least(exist).
% 0.55/0.76  28 [hyper,22,7] {+} s1most(exist).
% 0.55/0.76  31 [hyper,25,5] {+} s(exist,u1r2(exist)).
% 0.55/0.76  32 [hyper,25,4] {+} s(exist,u1r1(exist)).
% 0.55/0.76  50 [hyper,31,9,28,32,flip.1] {+} equalish(u1r2(exist),u1r1(exist)).
% 0.55/0.76  57 [hyper,50,3,25] {-} $F.
% 0.55/0.76  
% 0.55/0.76  % SZS output end Refutation
% 0.55/0.76  ------------ end of proof -------------
% 0.55/0.76  
% 0.55/0.76  
% 0.55/0.76  Search stopped by max_proofs option.
% 0.55/0.76  
% 0.55/0.76  
% 0.55/0.76  Search stopped by max_proofs option.
% 0.55/0.76  
% 0.55/0.76  ============ end of search ============
% 0.55/0.76  
% 0.55/0.76  ----------- soft-scott stats ----------
% 0.55/0.76  
% 0.55/0.76  true clauses given           3      (23.1%)
% 0.55/0.76  false clauses given         10
% 0.55/0.76  
% 0.55/0.76        FALSE     TRUE
% 0.55/0.76     5  0         1
% 0.55/0.76     6  1         1
% 0.55/0.76     8  0         1
% 0.55/0.76     9  0         1
% 0.55/0.76    10  0         11
% 0.55/0.76    12  1         5
% 0.55/0.76    14  0         4
% 0.55/0.76    18  0         2
% 0.55/0.76  tot:  2         26      (92.9% true)
% 0.55/0.76  
% 0.55/0.76  
% 0.55/0.76  Model 11 [ 5 1 25618 ] (0.00 seconds, 250000 Inserts)
% 0.55/0.76  
% 0.55/0.76  That finishes the proof of the theorem.
% 0.55/0.76  
% 0.55/0.76  Process 3596 finished Tue Jun  7 18:18:03 2022
%------------------------------------------------------------------------------