TSTP Solution File: KRS088+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : KRS088+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n027.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 03:29:44 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : KRS088+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n027.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 19:51:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.35  ----- Otter 3.2, August 2001 -----
% 0.12/0.35  The process was started by sandbox2 on n027.cluster.edu,
% 0.12/0.35  Tue Jun  7 19:51:26 2022
% 0.12/0.35  The command was "./sos".  The process ID is 2418.
% 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  15 back subsumes 2.
% 0.12/0.35  
% 0.12/0.35  ------------> process sos:
% 0.12/0.35  30 back subsumes 3.
% 0.12/0.35    Following clause subsumed by 33 during input processing: 0 [copy,33,flip.1] {-} A=A.
% 0.12/0.35  33 back subsumes 29.
% 0.12/0.35  
% 0.12/0.35  ======= end of input processing =======
% 0.19/0.39  
% 0.19/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.39  
% 0.19/0.39  Stopped by limit on number of solutions
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  -------------- Softie stats --------------
% 0.19/0.39  
% 0.19/0.39  UPDATE_STOP: 300
% 0.19/0.39  SFINDER_TIME_LIMIT: 2
% 0.19/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.39  number of clauses in intial UL: 26
% 0.19/0.39  number of clauses initially in problem: 30
% 0.19/0.39  percentage of clauses intially in UL: 86
% 0.19/0.39  percentage of distinct symbols occuring in initial UL: 86
% 0.19/0.39  percent of all initial clauses that are short: 100
% 0.19/0.39  absolute distinct symbol count: 15
% 0.19/0.39     distinct predicate count: 11
% 0.19/0.39     distinct function count: 3
% 0.19/0.39     distinct constant count: 1
% 0.19/0.39  
% 0.19/0.39  ---------- no more Softie stats ----------
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.39  
% 0.19/0.39  Stopped by limit on number of solutions
% 0.19/0.39  
% 0.19/0.39  =========== start of search ===========
% 0.19/0.50  
% 0.19/0.50  -------- PROOF -------- 
% 0.19/0.50  % SZS status Theorem
% 0.19/0.50  % SZS output start Refutation
% 0.19/0.50  
% 0.19/0.50  Model 3 [ 1 1 887 ] (0.00 seconds, 1346 Inserts)
% 0.19/0.50  
% 0.19/0.50  Model 4 [ 1 1 1442 ] (0.00 seconds, 1899 Inserts)
% 0.19/0.50  
% 0.19/0.50  Model 5 [ 1 1 1621 ] (0.00 seconds, 2142 Inserts)
% 0.19/0.50  
% 0.19/0.50  Stopped by limit on insertions
% 0.19/0.50  
% 0.19/0.50  Model 6 [ 1 2 50347 ] (0.00 seconds, 250000 Inserts)
% 0.19/0.50  
% 0.19/0.50  -----> EMPTY CLAUSE at   0.12 sec ----> 67 [hyper,65,48,56] {-} $F.
% 0.19/0.50  
% 0.19/0.50  Length of proof is 8.  Level of proof is 5.
% 0.19/0.50  
% 0.19/0.50  ---------------- PROOF ----------------
% 0.19/0.50  % SZS status Theorem
% 0.19/0.50  % SZS output start Refutation
% 0.19/0.50  
% 0.19/0.50  17 [] {+} -cUnsatisfiable(A)|rf(A,$f2(A)).
% 0.19/0.50  18 [] {+} -cUnsatisfiable(A)| -rinvF($f2(A),B)|rf(B,$f1(A,B)).
% 0.19/0.50  19 [] {+} -cUnsatisfiable(A)| -rinvF($f2(A),B)| -cp1($f1(A,B)).
% 0.19/0.50  20 [] {+} -cUnsatisfiable(A)|cp1($f2(A)).
% 0.19/0.50  23 [] {+} -rf(A,B)| -rf(A,C)|B=C.
% 0.19/0.50  25 [] {+} rinvF(A,B)| -rf(B,A).
% 0.19/0.50  32 [] {-} cUnsatisfiable(i2003_11_14_17_19_49673).
% 0.19/0.50  34 [hyper,32,20] {+} cp1($f2(i2003_11_14_17_19_49673)).
% 0.19/0.50  35 [hyper,32,17] {+} rf(i2003_11_14_17_19_49673,$f2(i2003_11_14_17_19_49673)).
% 0.19/0.50  40 [hyper,35,25] {+} rinvF($f2(i2003_11_14_17_19_49673),i2003_11_14_17_19_49673).
% 0.19/0.50  44 [hyper,40,18,32] {+} rf(i2003_11_14_17_19_49673,$f1(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673)).
% 0.19/0.50  48 [hyper,44,25] {+} rinvF($f1(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673),i2003_11_14_17_19_49673).
% 0.19/0.50  50,49 [hyper,44,23,35] {+} $f2(i2003_11_14_17_19_49673)=$f1(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673).
% 0.19/0.50  56 [back_demod,34,demod,50] {+} cp1($f1(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673)).
% 0.19/0.50  65 [para_from,49.1.1,19.2.1,unit_del,32] {-} -rinvF($f1(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673),A)| -cp1($f1(i2003_11_14_17_19_49673,A)).
% 0.19/0.50  67 [hyper,65,48,56] {-} $F.
% 0.19/0.50  
% 0.19/0.50  % SZS output end Refutation
% 0.19/0.50  ------------ end of proof -------------
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  Search stopped by max_proofs option.
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  Search stopped by max_proofs option.
% 0.19/0.50  
% 0.19/0.50  ============ end of search ============
% 0.19/0.50  
% 0.19/0.50  ----------- soft-scott stats ----------
% 0.19/0.50  
% 0.19/0.50  true clauses given           7      (50.0%)
% 0.19/0.50  false clauses given          7
% 0.19/0.50  
% 0.19/0.50        FALSE     TRUE
% 0.19/0.50     9  0         2
% 0.19/0.50    10  0         10
% 0.19/0.50    11  0         8
% 0.19/0.50    12  0         1
% 0.19/0.50    20  0         1
% 0.19/0.50  tot:  0         22      (100.0% true)
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  Model 6 [ 1 2 50347 ] (0.00 seconds, 250000 Inserts)
% 0.19/0.50  
% 0.19/0.50  That finishes the proof of the theorem.
% 0.19/0.50  
% 0.19/0.50  Process 2418 finished Tue Jun  7 19:51:26 2022
%------------------------------------------------------------------------------