TSTP Solution File: KLE022+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : KLE022+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n004.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 02:27:10 EDT 2022

% Result   : Theorem 0.77s 1.00s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KLE022+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n004.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 : Thu Jun 16 16:16:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.36  ----- Otter 3.2, August 2001 -----
% 0.19/0.36  The process was started by sandbox on n004.cluster.edu,
% 0.19/0.36  Thu Jun 16 16:16:08 2022
% 0.19/0.36  The command was "./sos".  The process ID is 10311.
% 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=4.
% 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  
% 0.19/0.36  ------------> process sos:
% 0.19/0.36    Following clause subsumed by 14 during input processing: 0 [copy,14,flip.1] {-} addition(A,B)=addition(B,A).
% 0.19/0.36    Following clause subsumed by 39 during input processing: 0 [copy,39,flip.1] {-} A=A.
% 0.19/0.36  
% 0.19/0.36  ======= 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: 11
% 0.19/0.39  number of clauses initially in problem: 36
% 0.19/0.39  percentage of clauses intially in UL: 30
% 0.19/0.39  percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.39  percent of all initial clauses that are short: 100
% 0.19/0.39  absolute distinct symbol count: 12
% 0.19/0.39     distinct predicate count: 4
% 0.19/0.39     distinct function count: 4
% 0.19/0.39     distinct constant count: 4
% 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 ===========
% 0.77/1.00  
% 0.77/1.00  -------- PROOF -------- 
% 0.77/1.00  % SZS status Theorem
% 0.77/1.00  % SZS output start Refutation
% 0.77/1.00  
% 0.77/1.00  Model 3 (0.00 seconds, 0 Inserts)
% 0.77/1.00  
% 0.77/1.00  Stopped by limit on number of solutions
% 0.77/1.00  
% 0.77/1.00  Model 4 (0.00 seconds, 0 Inserts)
% 0.77/1.00  
% 0.77/1.00  Stopped by limit on number of solutions
% 0.77/1.00  
% 0.77/1.00  Model 5 (0.00 seconds, 0 Inserts)
% 0.77/1.00  
% 0.77/1.00  Stopped by limit on number of solutions
% 0.77/1.00  
% 0.77/1.00  Model 6 (0.00 seconds, 0 Inserts)
% 0.77/1.00  
% 0.77/1.00  Stopped by limit on number of solutions
% 0.77/1.00  
% 0.77/1.00  Model 7 (0.00 seconds, 0 Inserts)
% 0.77/1.00  
% 0.77/1.00  Stopped by limit on number of solutions
% 0.77/1.00  
% 0.77/1.00  Stopped by limit on insertions
% 0.77/1.00  
% 0.77/1.00  Model 8 [ 1 6 196345 ] (0.00 seconds, 250000 Inserts)
% 0.77/1.00  
% 0.77/1.00  Model 9 [ 1 1 31889 ] (0.00 seconds, 145871 Inserts)
% 0.77/1.00  
% 0.77/1.00  Stopped by limit on insertions
% 0.77/1.00  
% 0.77/1.00  Model 10 [ 1 2 29686 ] (0.00 seconds, 250000 Inserts)
% 0.77/1.00  
% 0.77/1.00  Stopped by limit on insertions
% 0.77/1.00  
% 0.77/1.00  Model 11 [ 2 2 45870 ] (0.00 seconds, 250000 Inserts)
% 0.77/1.00  
% 0.77/1.00  Model 12 [ 1 3 77042 ] (0.00 seconds, 105830 Inserts)
% 0.77/1.00  
% 0.77/1.00  Model 13 [ 1 2 130424 ] (0.00 seconds, 135214 Inserts)
% 0.77/1.00  
% 0.77/1.00  Model 14 [ 2 3 136055 ] (0.00 seconds, 146675 Inserts)
% 0.77/1.00  
% 0.77/1.00  Model 15 [ 2 2 58805 ] (0.00 seconds, 80899 Inserts)
% 0.77/1.00  
% 0.77/1.00  ----> UNIT CONFLICT at   0.62 sec ----> 151 [binary,149.1,43.1] {+} $F.
% 0.77/1.00  
% 0.77/1.00  Length of proof is 5.  Level of proof is 2.
% 0.77/1.00  
% 0.77/1.00  ---------------- PROOF ----------------
% 0.77/1.00  % SZS status Theorem
% 0.77/1.00  % SZS output start Refutation
% 0.77/1.00  
% 0.77/1.00  7 [] {+} -complement(A,B)|addition(B,A)=one.
% 0.77/1.00  9 [] {+} -test(A)|c(A)!=B|complement(A,B).
% 0.77/1.00  11 [] {-} $c2!=addition(multiplication($c2,$c1),multiplication($c2,c($c1))).
% 0.77/1.00  12 [copy,11,flip.1] {+} addition(multiplication($c2,$c1),multiplication($c2,c($c1)))!=$c2.
% 0.77/1.00  14 [] {+} addition(A,B)=addition(B,A).
% 0.77/1.00  26,25 [] {+} multiplication(A,one)=A.
% 0.77/1.00  29 [] {-} multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 0.77/1.00  38 [] {+} test($c1).
% 0.77/1.00  39 [] {+} A=A.
% 0.77/1.00  43 [para_from,14.1.1,12.1.1] {+} addition(multiplication($c2,c($c1)),multiplication($c2,$c1))!=$c2.
% 0.77/1.00  59 [hyper,39,9,38] {+} complement($c1,c($c1)).
% 0.77/1.00  100 [para_into,29.1.1.2,7.2.1,demod,26,flip.1] {-} addition(multiplication(A,B),multiplication(A,C))=A| -complement(C,B).
% 0.77/1.00  149 [hyper,59,100] {-} addition(multiplication(A,c($c1)),multiplication(A,$c1))=A.
% 0.77/1.00  151 [binary,149.1,43.1] {+} $F.
% 0.77/1.00  
% 0.77/1.00  % SZS output end Refutation
% 0.77/1.00  ------------ end of proof -------------
% 0.77/1.00  
% 0.77/1.00  
% 0.77/1.00  Search stopped by max_proofs option.
% 0.77/1.00  
% 0.77/1.00  
% 0.77/1.00  Search stopped by max_proofs option.
% 0.77/1.00  
% 0.77/1.00  ============ end of search ============
% 0.77/1.00  
% 0.77/1.00  ----------- soft-scott stats ----------
% 0.77/1.00  
% 0.77/1.00  true clauses given           5      (21.7%)
% 0.77/1.00  false clauses given         18
% 0.77/1.00  
% 0.77/1.00        FALSE     TRUE
% 0.77/1.00     3  0         3
% 0.77/1.00     4  0         2
% 0.77/1.00     6  1         18
% 0.77/1.00     8  2         10
% 0.77/1.00     9  1         1
% 0.77/1.00    10  1         6
% 0.77/1.00    11  3         8
% 0.77/1.00    12  6         3
% 0.77/1.00    13  2         0
% 0.77/1.00    14  2         4
% 0.77/1.00    15  1         1
% 0.77/1.00    16  1         0
% 0.77/1.00    18  3         2
% 0.77/1.00    19  0         2
% 0.77/1.00    22  1         1
% 0.77/1.00    26  0         2
% 0.77/1.00    30  0         2
% 0.77/1.00    31  2         1
% 0.77/1.00  tot:  26        66      (71.7% true)
% 0.77/1.00  
% 0.77/1.00  
% 0.77/1.00  Model 15 [ 2 2 58805 ] (0.00 seconds, 80899 Inserts)
% 0.77/1.00  
% 0.77/1.00  That finishes the proof of the theorem.
% 0.77/1.00  
% 0.77/1.00  Process 10311 finished Thu Jun 16 16:16:09 2022
%------------------------------------------------------------------------------