TSTP Solution File: MGT037-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : MGT037-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n022.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 : Unsatisfiable 18.93s 19.16s
% Output : Refutation 18.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT037-1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n022.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 9 08:17:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36 ----- Otter 3.2, August 2001 -----
% 0.13/0.36 The process was started by sandbox on n022.cluster.edu,
% 0.13/0.36 Thu Jun 9 08:17:49 2022
% 0.13/0.36 The command was "./sos". The process ID is 25551.
% 0.13/0.36
% 0.13/0.36 set(prolog_style_variables).
% 0.13/0.36 set(auto).
% 0.13/0.36 dependent: set(auto1).
% 0.13/0.36 dependent: set(process_input).
% 0.13/0.36 dependent: clear(print_kept).
% 0.13/0.36 dependent: clear(print_new_demod).
% 0.13/0.36 dependent: clear(print_back_demod).
% 0.13/0.36 dependent: clear(print_back_sub).
% 0.13/0.36 dependent: set(control_memory).
% 0.13/0.36 dependent: assign(max_mem, 12000).
% 0.13/0.36 dependent: assign(pick_given_ratio, 4).
% 0.13/0.36 dependent: assign(stats_level, 1).
% 0.13/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36 dependent: assign(sos_limit, 5000).
% 0.13/0.36 dependent: assign(max_weight, 60).
% 0.13/0.36 clear(print_given).
% 0.13/0.36
% 0.13/0.36 list(usable).
% 0.13/0.36
% 0.13/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.36
% 0.13/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.36 clauses in usable.
% 0.13/0.36
% 0.13/0.36 dependent: set(knuth_bendix).
% 0.13/0.36 dependent: set(para_from).
% 0.13/0.36 dependent: set(para_into).
% 0.13/0.36 dependent: clear(para_from_right).
% 0.13/0.36 dependent: clear(para_into_right).
% 0.13/0.36 dependent: set(para_from_vars).
% 0.13/0.36 dependent: set(eq_units_both_ways).
% 0.13/0.36 dependent: set(dynamic_demod_all).
% 0.13/0.36 dependent: set(dynamic_demod).
% 0.13/0.36 dependent: set(order_eq).
% 0.13/0.36 dependent: set(back_demod).
% 0.13/0.36 dependent: set(lrpo).
% 0.13/0.36 dependent: set(hyper_res).
% 0.13/0.36 dependent: set(unit_deletion).
% 0.13/0.36 dependent: set(factor).
% 0.13/0.36
% 0.13/0.36 ------------> process usable:
% 0.13/0.36
% 0.13/0.36 ------------> process sos:
% 0.13/0.36 Following clause subsumed by 28 during input processing: 0 [copy,28,flip.1] {-} A=A.
% 0.13/0.36
% 0.13/0.36 ======= end of input processing =======
% 0.41/0.61
% 0.41/0.61 Stopped by limit on insertions
% 0.41/0.61
% 0.41/0.61
% 0.41/0.61 Failed to model usable list: disabling FINDER
% 0.41/0.61
% 0.41/0.61
% 0.41/0.61
% 0.41/0.61 -------------- Softie stats --------------
% 0.41/0.61
% 0.41/0.61 UPDATE_STOP: 300
% 0.41/0.61 SFINDER_TIME_LIMIT: 2
% 0.41/0.61 SHORT_CLAUSE_CUTOFF: 4
% 0.41/0.61 number of clauses in intial UL: 23
% 0.41/0.61 number of clauses initially in problem: 28
% 0.41/0.61 percentage of clauses intially in UL: 82
% 0.41/0.61 percentage of distinct symbols occuring in initial UL: 95
% 0.41/0.61 percent of all initial clauses that are short: 96
% 0.41/0.61 absolute distinct symbol count: 23
% 0.41/0.61 distinct predicate count: 8
% 0.41/0.61 distinct function count: 9
% 0.41/0.61 distinct constant count: 6
% 0.41/0.61
% 0.41/0.61 ---------- no more Softie stats ----------
% 0.41/0.61
% 0.41/0.61
% 0.41/0.61
% 0.41/0.61 =========== start of search ===========
% 3.49/3.66
% 3.49/3.66
% 3.49/3.66 Changing weight limit from 60 to 39.
% 3.49/3.66
% 3.49/3.66 Resetting weight limit to 39 after 120 givens.
% 3.49/3.66
% 4.76/5.00
% 4.76/5.00
% 4.76/5.00 Changing weight limit from 39 to 32.
% 4.76/5.00
% 4.76/5.00 Resetting weight limit to 32 after 125 givens.
% 4.76/5.00
% 6.25/6.48
% 6.25/6.48
% 6.25/6.48 Changing weight limit from 32 to 31.
% 6.25/6.48
% 6.25/6.48 Resetting weight limit to 31 after 135 givens.
% 6.25/6.48
% 7.07/7.29
% 7.07/7.29
% 7.07/7.29 Changing weight limit from 31 to 30.
% 7.07/7.29
% 7.07/7.29 Resetting weight limit to 30 after 140 givens.
% 7.07/7.29
% 8.13/8.34
% 8.13/8.34
% 8.13/8.34 Changing weight limit from 30 to 29.
% 8.13/8.34
% 8.13/8.34 Resetting weight limit to 29 after 150 givens.
% 8.13/8.34
% 10.85/11.06
% 10.85/11.06
% 10.85/11.06 Changing weight limit from 29 to 28.
% 10.85/11.06
% 10.85/11.06 Resetting weight limit to 28 after 195 givens.
% 10.85/11.06
% 17.95/18.15
% 17.95/18.15
% 17.95/18.15 Changing weight limit from 28 to 27.
% 17.95/18.15
% 17.95/18.15 Modelling stopped after 300 given clauses and 0.00 seconds
% 17.95/18.15
% 17.95/18.15
% 17.95/18.15 Resetting weight limit to 27 after 330 givens.
% 17.95/18.15
% 18.93/19.16
% 18.93/19.16 -- HEY sandbox, WE HAVE A PROOF!! --
% 18.93/19.16
% 18.93/19.16 -----> EMPTY CLAUSE at 18.78 sec ----> 12412 [hyper,12302,19,25,67,12201] {-} $F.
% 18.93/19.16
% 18.93/19.16 Length of proof is 29. Level of proof is 16.
% 18.93/19.16
% 18.93/19.16 ---------------- PROOF ----------------
% 18.93/19.16 % SZS status Unsatisfiable
% 18.93/19.16 % SZS output start Refutation
% 18.93/19.16
% 18.93/19.16 2 [] {+} -environment(A)| -greater_or_equal(B,appear(efficient_producers,A))|cardinality_at_time(efficient_producers,B)!=zero|in_environment(A,sk1(B,A)).
% 18.93/19.16 4 [] {+} -environment(A)| -greater_or_equal(B,appear(efficient_producers,A))|cardinality_at_time(efficient_producers,B)!=zero|greater(zero,growth_rate(efficient_producers,sk1(B,A))).
% 18.93/19.16 5 [] {+} -environment(A)| -in_environment(A,B)| -greater(appear(an_organisation,A),B)|number_of_organizations(A,B)=zero.
% 18.93/19.16 6 [] {+} -environment(A)| -in_environment(A,B)|decreases(number_of_organizations(A,B))|subpopulation(sk2(B,A),A,B).
% 18.93/19.16 7 [] {+} -environment(A)| -in_environment(A,B)|decreases(number_of_organizations(A,B))|greater(cardinality_at_time(sk2(B,A),B),zero).
% 18.93/19.16 8 [] {+} -environment(A)| -in_environment(A,B)|decreases(number_of_organizations(A,B))| -greater(zero,growth_rate(sk2(B,A),B)).
% 18.93/19.16 9 [] {+} -environment(A)| -in_environment(A,B)|number_of_organizations(A,B)!=zero| -subpopulation(C,A,B)|cardinality_at_time(C,B)=zero.
% 18.93/19.16 11 [] {+} -environment(A)| -in_environment(A,B)|subpopulation(efficient_producers,A,B).
% 18.93/19.16 12 [] {+} cardinality_at_time(A,B)!=zero| -greater(zero,growth_rate(A,B)).
% 18.93/19.16 13 [] {+} -environment(A)| -in_environment(A,B)|cardinality_at_time(efficient_producers,B)=zero|greater(cardinality_at_time(efficient_producers,B),zero).
% 18.93/19.16 14 [] {+} -constant(A)| -decreases(A).
% 18.93/19.16 15 [] {+} -environment(A)| -in_environment(A,B)|greater_or_equal(B,appear(an_organisation,A))|greater(appear(an_organisation,A),B).
% 18.93/19.16 16 [] {+} -environment(A)| -in_environment(A,B)| -greater(number_of_organizations(A,B),zero)| -greater(equilibrium(A),B)|decreases(resources(A,B)).
% 18.93/19.16 17 [] {+} -environment(A)| -in_environment(A,B)| -greater(number_of_organizations(A,B),zero)|greater(equilibrium(A),B)|constant(resources(A,B)).
% 18.93/19.16 18 [] {+} -environment(A)| -in_environment(A,B)| -greater_or_equal(B,appear(an_organisation,A))|greater(number_of_organizations(A,B),zero).
% 18.93/19.16 19 [] {+} -environment(A)| -in_environment(A,B)| -decreases(resources(A,B))| -decreases(number_of_organizations(A,B)).
% 18.93/19.16 20 [] {+} -environment(A)| -in_environment(A,B)| -constant(resources(A,B))|constant(number_of_organizations(A,B)).
% 18.93/19.16 21 [] {+} -environment(A)| -in_environment(A,B)|greater(zero,growth_rate(C,B))| -greater(resilience(D),resilience(C))| -greater(zero,growth_rate(D,B)).
% 18.93/19.16 22 [] {+} -environment(A)| -subpopulation(B,A,C)| -greater(cardinality_at_time(B,C),zero)|B=efficient_producers|B=first_movers.
% 18.93/19.16 23 [] {+} -greater(cardinality_at_time(efficient_producers,sk4),zero).
% 18.93/19.16 24 [] {-} greater(resilience(efficient_producers),resilience(first_movers)).
% 18.93/19.16 25 [] {-} environment(sk3).
% 18.93/19.16 26 [] {-} in_environment(sk3,sk4).
% 18.93/19.16 27 [] {-} greater_or_equal(sk4,appear(efficient_producers,sk3)).
% 18.93/19.16 28 [] {-} A=A.
% 18.93/19.16 37,36 [hyper,26,13,25,unit_del,23] {-} cardinality_at_time(efficient_producers,sk4)=zero.
% 18.93/19.16 42 [back_demod,23,demod,37] {-} -greater(zero,zero).
% 18.93/19.16 65 [hyper,36,4,25,27] {-} greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))).
% 18.93/19.16 67 [hyper,36,2,25,27] {-} in_environment(sk3,sk1(sk4,sk3)).
% 18.93/19.16 101 [hyper,67,15,25] {-} greater_or_equal(sk1(sk4,sk3),appear(an_organisation,sk3))|greater(appear(an_organisation,sk3),sk1(sk4,sk3)).
% 18.93/19.16 102 [hyper,67,13,25] {-} cardinality_at_time(efficient_producers,sk1(sk4,sk3))=zero|greater(cardinality_at_time(efficient_producers,sk1(sk4,sk3)),zero).
% 18.93/19.16 103 [hyper,67,11,25] {-} subpopulation(efficient_producers,sk3,sk1(sk4,sk3)).
% 18.93/19.16 105 [hyper,67,7,25] {-} decreases(number_of_organizations(sk3,sk1(sk4,sk3)))|greater(cardinality_at_time(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)),zero).
% 18.93/19.16 106 [hyper,67,6,25] {-} decreases(number_of_organizations(sk3,sk1(sk4,sk3)))|subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3)).
% 18.93/19.16 153 [hyper,65,21,25,67,24] {-} greater(zero,growth_rate(first_movers,sk1(sk4,sk3))).
% 18.93/19.16 979 [hyper,101,18,25,67] {-} greater(appear(an_organisation,sk3),sk1(sk4,sk3))|greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero).
% 18.93/19.16 1152 [para_from,102.1.1,12.1.1,unit_del,28,65] {-} greater(cardinality_at_time(efficient_producers,sk1(sk4,sk3)),zero).
% 18.93/19.16 1166 [para_into,1152.1.1,9.5.1,unit_del,42] {-} -environment(A)| -in_environment(A,sk1(sk4,sk3))|number_of_organizations(A,sk1(sk4,sk3))!=zero| -subpopulation(efficient_producers,A,sk1(sk4,sk3)).
% 18.93/19.16 2301 [hyper,979,5,25,67] {-} greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero)|number_of_organizations(sk3,sk1(sk4,sk3))=zero.
% 18.93/19.16 2694 [hyper,2301,17,25,67] {-} number_of_organizations(sk3,sk1(sk4,sk3))=zero|greater(equilibrium(sk3),sk1(sk4,sk3))|constant(resources(sk3,sk1(sk4,sk3))).
% 18.93/19.16 10557 [hyper,2694,20,25,67] {-} number_of_organizations(sk3,sk1(sk4,sk3))=zero|greater(equilibrium(sk3),sk1(sk4,sk3))|constant(number_of_organizations(sk3,sk1(sk4,sk3))).
% 18.93/19.16 11490 [para_into,1166.3.1,10557.1.1,unit_del,25,67,28,103] {-} greater(equilibrium(sk3),sk1(sk4,sk3))|constant(number_of_organizations(sk3,sk1(sk4,sk3))).
% 18.93/19.16 11493 [para_into,1166.3.1,2301.2.1,unit_del,25,67,28,103] {-} greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero).
% 18.93/19.16 11713 [hyper,11490,14,106] {-} greater(equilibrium(sk3),sk1(sk4,sk3))|subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3)).
% 18.93/19.16 11714 [hyper,11490,14,105] {-} greater(equilibrium(sk3),sk1(sk4,sk3))|greater(cardinality_at_time(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)),zero).
% 18.93/19.16 11827 [hyper,11713,16,25,67,11493] {-} subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3))|decreases(resources(sk3,sk1(sk4,sk3))).
% 18.93/19.16 11828 [hyper,11827,19,25,67,106,factor_simp] {-} subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3)).
% 18.93/19.16 12022 [hyper,11714,16,25,67,11493] {-} greater(cardinality_at_time(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)),zero)|decreases(resources(sk3,sk1(sk4,sk3))).
% 18.93/19.16 12024 [hyper,12022,19,25,67,105,factor_simp] {-} greater(cardinality_at_time(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)),zero).
% 18.93/19.16 12025 [hyper,12024,22,25,11828] {-} sk2(sk1(sk4,sk3),sk3)=efficient_producers|sk2(sk1(sk4,sk3),sk3)=first_movers.
% 18.93/19.16 12164 [para_from,12025.1.1,8.4.2.1,unit_del,25,67,65] {-} decreases(number_of_organizations(sk3,sk1(sk4,sk3)))|sk2(sk1(sk4,sk3),sk3)=first_movers.
% 18.93/19.16 12201 [para_from,12164.2.1,8.4.2.1,unit_del,25,67,153,factor_simp] {-} decreases(number_of_organizations(sk3,sk1(sk4,sk3))).
% 18.93/19.16 12202 [hyper,12201,14,11490] {-} greater(equilibrium(sk3),sk1(sk4,sk3)).
% 18.93/19.16 12302 [hyper,12202,16,25,67,11493] {-} decreases(resources(sk3,sk1(sk4,sk3))).
% 18.93/19.16 12412 [hyper,12302,19,25,67,12201] {-} $F.
% 18.93/19.16
% 18.93/19.16 % SZS output end Refutation
% 18.93/19.16 ------------ end of proof -------------
% 18.93/19.16
% 18.93/19.16
% 18.93/19.16 Search stopped by max_proofs option.
% 18.93/19.16
% 18.93/19.16
% 18.93/19.16 Search stopped by max_proofs option.
% 18.93/19.16
% 18.93/19.16 ============ end of search ============
% 18.93/19.16
% 18.93/19.16 That finishes the proof of the theorem.
% 18.93/19.16
% 18.93/19.16 Process 25551 finished Thu Jun 9 08:18:08 2022
%------------------------------------------------------------------------------