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SOS---2.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : MGT037+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n028.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 22:25:56 EDT 2022

% Result   : Theorem 16.87s 17.07s
% Output   : Refutation 16.87s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : MGT037+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13  % Command  : sos-script %s
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jun  9 09:02:32 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  ----- Otter 3.2, August 2001 -----
% 0.13/0.35  The process was started by sandbox on n028.cluster.edu,
% 0.13/0.35  Thu Jun  9 09:02:32 2022
% 0.13/0.35  The command was "./sos".  The process ID is 24172.
% 0.13/0.35  
% 0.13/0.35  set(prolog_style_variables).
% 0.13/0.35  set(auto).
% 0.13/0.35     dependent: set(auto1).
% 0.13/0.35     dependent: set(process_input).
% 0.13/0.35     dependent: clear(print_kept).
% 0.13/0.35     dependent: clear(print_new_demod).
% 0.13/0.35     dependent: clear(print_back_demod).
% 0.13/0.35     dependent: clear(print_back_sub).
% 0.13/0.35     dependent: set(control_memory).
% 0.13/0.35     dependent: assign(max_mem, 12000).
% 0.13/0.35     dependent: assign(pick_given_ratio, 4).
% 0.13/0.35     dependent: assign(stats_level, 1).
% 0.13/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35     dependent: assign(sos_limit, 5000).
% 0.13/0.35     dependent: assign(max_weight, 60).
% 0.13/0.35  clear(print_given).
% 0.13/0.35  
% 0.13/0.35  formula_list(usable).
% 0.13/0.35  
% 0.13/0.35  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.35  
% 0.13/0.35  This ia a non-Horn set with equality.  The strategy will be
% 0.13/0.35  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.35  unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.35  clauses in usable.
% 0.13/0.35  
% 0.13/0.35     dependent: set(knuth_bendix).
% 0.13/0.35     dependent: set(para_from).
% 0.13/0.35     dependent: set(para_into).
% 0.13/0.35     dependent: clear(para_from_right).
% 0.13/0.35     dependent: clear(para_into_right).
% 0.13/0.35     dependent: set(para_from_vars).
% 0.13/0.35     dependent: set(eq_units_both_ways).
% 0.13/0.35     dependent: set(dynamic_demod_all).
% 0.13/0.35     dependent: set(dynamic_demod).
% 0.13/0.35     dependent: set(order_eq).
% 0.13/0.35     dependent: set(back_demod).
% 0.13/0.35     dependent: set(lrpo).
% 0.13/0.35     dependent: set(hyper_res).
% 0.13/0.35     dependent: set(unit_deletion).
% 0.13/0.35     dependent: set(factor).
% 0.13/0.35  
% 0.13/0.35  ------------> process usable:
% 0.13/0.35  
% 0.13/0.35  ------------> process sos:
% 0.13/0.35    Following clause subsumed by 28 during input processing: 0 [copy,28,flip.1] {-} A=A.
% 0.13/0.35  
% 0.13/0.35  ======= end of input processing =======
% 0.19/0.57  
% 0.19/0.57  Stopped by limit on insertions
% 0.19/0.57  
% 0.19/0.57  
% 0.19/0.57  Failed to model usable list: disabling FINDER
% 0.19/0.57  
% 0.19/0.57  
% 0.19/0.57  
% 0.19/0.57  -------------- Softie stats --------------
% 0.19/0.57  
% 0.19/0.57  UPDATE_STOP: 300
% 0.19/0.57  SFINDER_TIME_LIMIT: 2
% 0.19/0.57  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.57  number of clauses in intial UL: 23
% 0.19/0.57  number of clauses initially in problem: 28
% 0.19/0.57  percentage of clauses intially in UL: 82
% 0.19/0.57  percentage of distinct symbols occuring in initial UL: 95
% 0.19/0.57  percent of all initial clauses that are short: 96
% 0.19/0.57  absolute distinct symbol count: 23
% 0.19/0.57     distinct predicate count: 8
% 0.19/0.57     distinct function count: 9
% 0.19/0.57     distinct constant count: 6
% 0.19/0.57  
% 0.19/0.57  ---------- no more Softie stats ----------
% 0.19/0.57  
% 0.19/0.57  
% 0.19/0.57  
% 0.19/0.57  =========== start of search ===========
% 5.01/5.18  
% 5.01/5.18  
% 5.01/5.18  Changing weight limit from 60 to 37.
% 5.01/5.18  
% 5.01/5.18  Resetting weight limit to 37 after 155 givens.
% 5.01/5.18  
% 6.52/6.72  
% 6.52/6.72  
% 6.52/6.72  Changing weight limit from 37 to 35.
% 6.52/6.72  
% 6.52/6.72  Resetting weight limit to 35 after 160 givens.
% 6.52/6.72  
% 7.86/8.11  
% 7.86/8.11  
% 7.86/8.11  Changing weight limit from 35 to 34.
% 7.86/8.11  
% 7.86/8.11  Resetting weight limit to 34 after 165 givens.
% 7.86/8.11  
% 8.92/9.13  
% 8.92/9.13  
% 8.92/9.13  Changing weight limit from 34 to 33.
% 8.92/9.13  
% 8.92/9.13  Resetting weight limit to 33 after 170 givens.
% 8.92/9.13  
% 10.89/11.06  
% 10.89/11.06  
% 10.89/11.06  Changing weight limit from 33 to 32.
% 10.89/11.06  
% 10.89/11.06  Resetting weight limit to 32 after 185 givens.
% 10.89/11.06  
% 14.51/14.73  
% 14.51/14.73  
% 14.51/14.73  Changing weight limit from 32 to 31.
% 14.51/14.73  
% 14.51/14.73  Resetting weight limit to 31 after 245 givens.
% 14.51/14.73  
% 16.87/17.07  
% 16.87/17.07  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 16.87/17.07  
% 16.87/17.07  -----> EMPTY CLAUSE at  16.69 sec ----> 9268 [hyper,9211,19,25,67,9191] {-} $F.
% 16.87/17.07  
% 16.87/17.07  Length of proof is 29.  Level of proof is 16.
% 16.87/17.07  
% 16.87/17.07  ---------------- PROOF ----------------
% 16.87/17.07  % SZS status Theorem
% 16.87/17.07  % SZS output start Refutation
% 16.87/17.07  
% 16.87/17.07  2 [] {+} -environment(A)| -greater_or_equal(B,appear(efficient_producers,A))|cardinality_at_time(efficient_producers,B)!=zero|in_environment(A,$f1(A,B)).
% 16.87/17.07  4 [] {+} -environment(A)| -greater_or_equal(B,appear(efficient_producers,A))|cardinality_at_time(efficient_producers,B)!=zero|greater(zero,growth_rate(efficient_producers,$f1(A,B))).
% 16.87/17.07  5 [] {+} -environment(A)| -in_environment(A,B)| -greater(appear(an_organisation,A),B)|number_of_organizations(A,B)=zero.
% 16.87/17.07  6 [] {+} -environment(A)| -in_environment(A,B)|decreases(number_of_organizations(A,B))|subpopulation($f2(A,B),A,B).
% 16.87/17.07  7 [] {+} -environment(A)| -in_environment(A,B)|decreases(number_of_organizations(A,B))|greater(cardinality_at_time($f2(A,B),B),zero).
% 16.87/17.07  8 [] {+} -environment(A)| -in_environment(A,B)|decreases(number_of_organizations(A,B))| -greater(zero,growth_rate($f2(A,B),B)).
% 16.87/17.07  9 [] {+} -environment(A)| -in_environment(A,B)|number_of_organizations(A,B)!=zero| -subpopulation(C,A,B)|cardinality_at_time(C,B)=zero.
% 16.87/17.07  11 [] {+} -environment(A)| -in_environment(A,B)|subpopulation(efficient_producers,A,B).
% 16.87/17.07  12 [] {+} cardinality_at_time(A,B)!=zero| -greater(zero,growth_rate(A,B)).
% 16.87/17.07  13 [] {+} -environment(A)| -in_environment(A,B)|cardinality_at_time(efficient_producers,B)=zero|greater(cardinality_at_time(efficient_producers,B),zero).
% 16.87/17.07  14 [] {+} -constant(A)| -decreases(A).
% 16.87/17.07  15 [] {+} -environment(A)| -in_environment(A,B)|greater_or_equal(B,appear(an_organisation,A))|greater(appear(an_organisation,A),B).
% 16.87/17.07  16 [] {+} -environment(A)| -in_environment(A,B)| -greater(number_of_organizations(A,B),zero)| -greater(equilibrium(A),B)|decreases(resources(A,B)).
% 16.87/17.07  17 [] {+} -environment(A)| -in_environment(A,B)| -greater(number_of_organizations(A,B),zero)|greater(equilibrium(A),B)|constant(resources(A,B)).
% 16.87/17.07  18 [] {+} -environment(A)| -in_environment(A,B)| -greater_or_equal(B,appear(an_organisation,A))|greater(number_of_organizations(A,B),zero).
% 16.87/17.07  19 [] {+} -environment(A)| -in_environment(A,B)| -decreases(resources(A,B))| -decreases(number_of_organizations(A,B)).
% 16.87/17.07  20 [] {+} -environment(A)| -in_environment(A,B)| -constant(resources(A,B))|constant(number_of_organizations(A,B)).
% 16.87/17.07  21 [] {+} -environment(A)| -in_environment(A,B)|greater(zero,growth_rate(C,B))| -greater(resilience(D),resilience(C))| -greater(zero,growth_rate(D,B)).
% 16.87/17.07  22 [] {+} -environment(A)| -subpopulation(B,A,C)| -greater(cardinality_at_time(B,C),zero)|B=efficient_producers|B=first_movers.
% 16.87/17.07  23 [] {+} -greater(cardinality_at_time(efficient_producers,$c1),zero).
% 16.87/17.07  24 [] {-} greater(resilience(efficient_producers),resilience(first_movers)).
% 16.87/17.07  25 [] {-} environment($c2).
% 16.87/17.07  26 [] {-} in_environment($c2,$c1).
% 16.87/17.07  27 [] {-} greater_or_equal($c1,appear(efficient_producers,$c2)).
% 16.87/17.07  28 [] {-} A=A.
% 16.87/17.07  37,36 [hyper,26,13,25,unit_del,23] {-} cardinality_at_time(efficient_producers,$c1)=zero.
% 16.87/17.07  42 [back_demod,23,demod,37] {-} -greater(zero,zero).
% 16.87/17.07  65 [hyper,36,4,25,27] {-} greater(zero,growth_rate(efficient_producers,$f1($c2,$c1))).
% 16.87/17.07  67 [hyper,36,2,25,27] {-} in_environment($c2,$f1($c2,$c1)).
% 16.87/17.07  101 [hyper,67,15,25] {-} greater_or_equal($f1($c2,$c1),appear(an_organisation,$c2))|greater(appear(an_organisation,$c2),$f1($c2,$c1)).
% 16.87/17.07  102 [hyper,67,13,25] {-} cardinality_at_time(efficient_producers,$f1($c2,$c1))=zero|greater(cardinality_at_time(efficient_producers,$f1($c2,$c1)),zero).
% 16.87/17.07  103 [hyper,67,11,25] {-} subpopulation(efficient_producers,$c2,$f1($c2,$c1)).
% 16.87/17.07  105 [hyper,67,7,25] {-} decreases(number_of_organizations($c2,$f1($c2,$c1)))|greater(cardinality_at_time($f2($c2,$f1($c2,$c1)),$f1($c2,$c1)),zero).
% 16.87/17.07  106 [hyper,67,6,25] {-} decreases(number_of_organizations($c2,$f1($c2,$c1)))|subpopulation($f2($c2,$f1($c2,$c1)),$c2,$f1($c2,$c1)).
% 16.87/17.07  153 [hyper,65,21,25,67,24] {-} greater(zero,growth_rate(first_movers,$f1($c2,$c1))).
% 16.87/17.07  907 [hyper,101,18,25,67] {-} greater(appear(an_organisation,$c2),$f1($c2,$c1))|greater(number_of_organizations($c2,$f1($c2,$c1)),zero).
% 16.87/17.07  1042 [para_from,102.1.1,12.1.1,unit_del,28,65] {-} greater(cardinality_at_time(efficient_producers,$f1($c2,$c1)),zero).
% 16.87/17.07  1054 [para_into,1042.1.1,9.5.1,unit_del,42] {-} -environment(A)| -in_environment(A,$f1($c2,$c1))|number_of_organizations(A,$f1($c2,$c1))!=zero| -subpopulation(efficient_producers,A,$f1($c2,$c1)).
% 16.87/17.07  1889 [hyper,907,5,25,67] {-} greater(number_of_organizations($c2,$f1($c2,$c1)),zero)|number_of_organizations($c2,$f1($c2,$c1))=zero.
% 16.87/17.07  2124 [hyper,1889,17,25,67] {-} number_of_organizations($c2,$f1($c2,$c1))=zero|greater(equilibrium($c2),$f1($c2,$c1))|constant(resources($c2,$f1($c2,$c1))).
% 16.87/17.07  8111 [hyper,2124,20,25,67] {-} number_of_organizations($c2,$f1($c2,$c1))=zero|greater(equilibrium($c2),$f1($c2,$c1))|constant(number_of_organizations($c2,$f1($c2,$c1))).
% 16.87/17.07  8775 [para_into,1054.3.1,8111.1.1,unit_del,25,67,28,103] {-} greater(equilibrium($c2),$f1($c2,$c1))|constant(number_of_organizations($c2,$f1($c2,$c1))).
% 16.87/17.07  8778 [para_into,1054.3.1,1889.2.1,unit_del,25,67,28,103] {-} greater(number_of_organizations($c2,$f1($c2,$c1)),zero).
% 16.87/17.07  8869 [hyper,8775,14,106] {-} greater(equilibrium($c2),$f1($c2,$c1))|subpopulation($f2($c2,$f1($c2,$c1)),$c2,$f1($c2,$c1)).
% 16.87/17.07  8870 [hyper,8775,14,105] {-} greater(equilibrium($c2),$f1($c2,$c1))|greater(cardinality_at_time($f2($c2,$f1($c2,$c1)),$f1($c2,$c1)),zero).
% 16.87/17.07  8939 [hyper,8869,16,25,67,8778] {-} subpopulation($f2($c2,$f1($c2,$c1)),$c2,$f1($c2,$c1))|decreases(resources($c2,$f1($c2,$c1))).
% 16.87/17.07  8958 [hyper,8939,19,25,67,106,factor_simp] {-} subpopulation($f2($c2,$f1($c2,$c1)),$c2,$f1($c2,$c1)).
% 16.87/17.07  9031 [hyper,8870,16,25,67,8778] {-} greater(cardinality_at_time($f2($c2,$f1($c2,$c1)),$f1($c2,$c1)),zero)|decreases(resources($c2,$f1($c2,$c1))).
% 16.87/17.07  9058 [hyper,9031,19,25,67,105,factor_simp] {-} greater(cardinality_at_time($f2($c2,$f1($c2,$c1)),$f1($c2,$c1)),zero).
% 16.87/17.07  9059 [hyper,9058,22,25,8958] {-} $f2($c2,$f1($c2,$c1))=efficient_producers|$f2($c2,$f1($c2,$c1))=first_movers.
% 16.87/17.07  9154 [para_from,9059.1.1,8.4.2.1,unit_del,25,67,65] {-} decreases(number_of_organizations($c2,$f1($c2,$c1)))|$f2($c2,$f1($c2,$c1))=first_movers.
% 16.87/17.07  9191 [para_from,9154.2.1,8.4.2.1,unit_del,25,67,153,factor_simp] {-} decreases(number_of_organizations($c2,$f1($c2,$c1))).
% 16.87/17.07  9192 [hyper,9191,14,8775] {-} greater(equilibrium($c2),$f1($c2,$c1)).
% 16.87/17.07  9211 [hyper,9192,16,25,67,8778] {-} decreases(resources($c2,$f1($c2,$c1))).
% 16.87/17.07  9268 [hyper,9211,19,25,67,9191] {-} $F.
% 16.87/17.07  
% 16.87/17.07  % SZS output end Refutation
% 16.87/17.07  ------------ end of proof -------------
% 16.87/17.07  
% 16.87/17.07  
% 16.87/17.07  Search stopped by max_proofs option.
% 16.87/17.07  
% 16.87/17.07  
% 16.87/17.07  Search stopped by max_proofs option.
% 16.87/17.07  
% 16.87/17.07  ============ end of search ============
% 16.87/17.07  
% 16.87/17.07  That finishes the proof of the theorem.
% 16.87/17.07  
% 16.87/17.07  Process 24172 finished Thu Jun  9 09:02:49 2022
%------------------------------------------------------------------------------