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SOS---2.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : MGT013+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 22:25:48 EDT 2022

% Result   : Theorem 0.59s 0.83s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : MGT013+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n021.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 : Thu Jun  9 09:26:38 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 sandbox on n021.cluster.edu,
% 0.12/0.35  Thu Jun  9 09:26:38 2022
% 0.12/0.35  The command was "./sos".  The process ID is 21479.
% 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=7.
% 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  
% 0.12/0.35  ------------> process sos:
% 0.12/0.35    Following clause subsumed by 24 during input processing: 0 [copy,24,flip.1] {-} A=A.
% 0.12/0.35  24 back subsumes 12.
% 0.12/0.35  24 back subsumes 10.
% 0.12/0.35  
% 0.12/0.35  ======= end of input processing =======
% 0.12/0.37  
% 0.12/0.37  Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.37  
% 0.12/0.37  Stopped by limit on number of solutions
% 0.12/0.37  
% 0.12/0.37  
% 0.12/0.37  -------------- Softie stats --------------
% 0.12/0.37  
% 0.12/0.37  UPDATE_STOP: 300
% 0.12/0.37  SFINDER_TIME_LIMIT: 2
% 0.12/0.37  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.37  number of clauses in intial UL: 12
% 0.12/0.37  number of clauses initially in problem: 22
% 0.12/0.37  percentage of clauses intially in UL: 54
% 0.12/0.37  percentage of distinct symbols occuring in initial UL: 50
% 0.12/0.37  percent of all initial clauses that are short: 100
% 0.12/0.37  absolute distinct symbol count: 14
% 0.12/0.37     distinct predicate count: 7
% 0.12/0.37     distinct function count: 0
% 0.12/0.37     distinct constant count: 7
% 0.12/0.37  
% 0.12/0.37  ---------- no more Softie stats ----------
% 0.12/0.37  
% 0.12/0.37  
% 0.12/0.37  
% 0.12/0.37  =========== start of search ===========
% 0.59/0.83  
% 0.59/0.83  -------- PROOF -------- 
% 0.59/0.83  % SZS status Theorem
% 0.59/0.83  % SZS output start Refutation
% 0.59/0.83  
% 0.59/0.83  Model 2 (0.00 seconds, 0 Inserts)
% 0.59/0.83  
% 0.59/0.83  Stopped by limit on number of solutions
% 0.59/0.83  
% 0.59/0.83  Model 3 (0.00 seconds, 0 Inserts)
% 0.59/0.83  
% 0.59/0.83  Stopped by limit on number of solutions
% 0.59/0.83  
% 0.59/0.83  Model 4 (0.00 seconds, 0 Inserts)
% 0.59/0.83  
% 0.59/0.83  Stopped by limit on number of solutions
% 0.59/0.83  
% 0.59/0.83  Stopped by limit on insertions
% 0.59/0.83  
% 0.59/0.83  Model 5 [ 1 0 657 ] (0.00 seconds, 250000 Inserts)
% 0.59/0.83  
% 0.59/0.83  Model 6 (0.00 seconds, 250000 Inserts)
% 0.59/0.83  
% 0.59/0.83  Stopped by limit on number of solutions
% 0.59/0.83  
% 0.59/0.83  Model 7 (0.00 seconds, 250000 Inserts)
% 0.59/0.83  
% 0.59/0.83  Stopped by limit on number of solutions
% 0.59/0.83  
% 0.59/0.83  Stopped by limit on insertions
% 0.59/0.83  
% 0.59/0.83  Model 8 [ 1 0 477 ] (0.00 seconds, 250000 Inserts)
% 0.59/0.83  
% 0.59/0.83  Stopped by limit on insertions
% 0.59/0.83  
% 0.59/0.83  Model 9 [ 1 0 690 ] (0.00 seconds, 250000 Inserts)
% 0.59/0.83  
% 0.59/0.83  Stopped by limit on insertions
% 0.59/0.83  
% 0.59/0.83  Model 10 [ 1 1 816 ] (0.00 seconds, 250000 Inserts)
% 0.59/0.83  
% 0.59/0.83  -----> EMPTY CLAUSE at   0.46 sec ----> 337 [hyper,144,275,16,16,19,24] {-} $F.
% 0.59/0.83  
% 0.59/0.83  Length of proof is 14.  Level of proof is 6.
% 0.59/0.83  
% 0.59/0.83  ---------------- PROOF ----------------
% 0.59/0.83  % SZS status Theorem
% 0.59/0.83  % SZS output start Refutation
% 0.59/0.83  
% 0.59/0.83  2 [] {+} -greater(A,B)| -greater(B,A).
% 0.59/0.83  3 [] {+} -organization(A,B)|time(B).
% 0.59/0.83  4 [] {+} -time(A)| -time(B)|greater(A,B)|A=B|greater(B,A).
% 0.59/0.83  5 [] {+} -reorganization_free(A,B,C)|reorganization_free(A,C,B).
% 0.59/0.83  6 [] {+} -organization(A,B)| -organization(A,C)| -complexity(A,D,B)| -complexity(A,E,C)|B!=C|D=E.
% 0.59/0.83  7 [] {+} -organization(A,B)| -organization(A,C)| -reorganization_free(A,B,C)| -size(A,D,B)| -size(A,E,C)| -greater(C,B)| -greater(D,E).
% 0.59/0.83  8 [] {+} -organization(A,B)| -organization(A,C)| -reorganization_free(A,B,C)| -complexity(A,D,B)| -complexity(A,E,C)| -greater(C,B)| -greater(D,E).
% 0.59/0.83  9 [factor,2.1.2] {+} -greater(A,A).
% 0.59/0.83  11 [factor,6.1.2] {+} -organization(A,B)| -complexity(A,C,B)| -complexity(A,D,B)|B!=B|C=D.
% 0.59/0.83  15 [] {+} organization($c7,$c2).
% 0.59/0.83  16 [] {+} organization($c7,$c1).
% 0.59/0.83  17 [] {+} reorganization_free($c7,$c2,$c1).
% 0.59/0.83  18 [] {+} complexity($c7,$c6,$c2).
% 0.59/0.83  19 [] {+} complexity($c7,$c5,$c1).
% 0.59/0.83  20 [] {+} size($c7,$c4,$c2).
% 0.59/0.83  21 [] {+} size($c7,$c3,$c1).
% 0.59/0.83  22 [] {+} greater($c5,$c6).
% 0.59/0.83  23 [] {+} greater($c4,$c3).
% 0.59/0.83  24 [] {+} A=A.
% 0.59/0.83  25 [hyper,15,3] {+} time($c2).
% 0.59/0.83  40 [hyper,16,3] {+} time($c1).
% 0.59/0.83  47 [hyper,40,4,25] {-} greater($c2,$c1)|$c2=$c1|greater($c1,$c2).
% 0.59/0.83  50 [hyper,17,5] {+} reorganization_free($c7,$c1,$c2).
% 0.59/0.83  69 [para_into,22.1.1,11.5.1,unit_del,24] {-} greater(A,$c6)| -organization(B,C)| -complexity(B,$c5,C)| -complexity(B,A,C).
% 0.59/0.83  111 [hyper,47,8,16,15,50,19,18,22] {+} $c2=$c1|greater($c1,$c2).
% 0.59/0.83  114,113 [hyper,111,7,15,16,17,20,21,23] {+} $c2=$c1.
% 0.59/0.83  144 [back_demod,18,demod,114] {+} complexity($c7,$c6,$c1).
% 0.59/0.83  259 [para_into,69.1.2,11.5.1,unit_del,24] {-} greater(A,B)| -organization(C,D)| -complexity(C,$c5,D)| -complexity(C,A,D)| -organization(E,F)| -complexity(E,$c6,F)| -complexity(E,B,F).
% 0.59/0.83  268 [factor,259.4.7,unit_del,9,factor_simp,factor_simp] {-} -organization(A,B)| -complexity(A,$c5,B)| -complexity(A,$c6,B).
% 0.59/0.83  273 [para_into,268.2.2,6.6.1] {-} -organization(A,B)| -complexity(A,C,B)| -complexity(A,$c6,B)| -organization(D,E)| -organization(D,F)| -complexity(D,$c5,E)| -complexity(D,C,F)|E!=F.
% 0.59/0.83  275 [factor,273.1.5,factor_simp,factor_simp] {-} -organization(A,B)| -complexity(A,$c6,B)| -organization(A,C)| -complexity(A,$c5,C)|C!=B.
% 0.59/0.83  337 [hyper,144,275,16,16,19,24] {-} $F.
% 0.59/0.83  
% 0.59/0.83  % SZS output end Refutation
% 0.59/0.83  ------------ end of proof -------------
% 0.59/0.83  
% 0.59/0.83  
% 0.59/0.83  Search stopped by max_proofs option.
% 0.59/0.83  
% 0.59/0.83  
% 0.59/0.83  Search stopped by max_proofs option.
% 0.59/0.83  
% 0.59/0.83  ============ end of search ============
% 0.59/0.83  
% 0.59/0.83  ----------- soft-scott stats ----------
% 0.59/0.83  
% 0.59/0.83  true clauses given          13      (39.4%)
% 0.59/0.83  false clauses given         20
% 0.59/0.83  
% 0.59/0.83        FALSE     TRUE
% 0.59/0.83     6  0         1
% 0.59/0.83    11  0         5
% 0.59/0.83    12  0         13
% 0.59/0.83    13  0         7
% 0.59/0.83    14  0         21
% 0.59/0.83    15  0         27
% 0.59/0.83    18  0         3
% 0.59/0.83    19  0         4
% 0.59/0.83    20  17        10
% 0.59/0.83    21  0         30
% 0.59/0.83    22  4         9
% 0.59/0.83    23  0         21
% 0.59/0.83    24  0         17
% 0.59/0.83    25  3         8
% 0.59/0.83    27  3         4
% 0.59/0.83    28  4         6
% 0.59/0.83    29  0         20
% 0.59/0.83    30  1         11
% 0.59/0.83    31  8         11
% 0.59/0.83    34  5         6
% 0.59/0.83    37  2         2
% 0.59/0.83  tot:  47        236      (83.4% true)
% 0.59/0.83  
% 0.59/0.83  
% 0.59/0.83  Model 10 [ 1 1 816 ] (0.00 seconds, 250000 Inserts)
% 0.59/0.83  
% 0.59/0.83  That finishes the proof of the theorem.
% 0.59/0.83  
% 0.59/0.83  Process 21479 finished Thu Jun  9 09:26:38 2022
%------------------------------------------------------------------------------