TSTP Solution File: MGT023-2 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : MGT023-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n029.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 22:25:51 EDT 2022
% Result : Unsatisfiable 16.02s 16.27s
% Output : Refutation 16.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : MGT023-2 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % Command : sos-script %s
% 0.14/0.33 % Computer : n029.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Thu Jun 9 09:57:06 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.35 ----- Otter 3.2, August 2001 -----
% 0.20/0.35 The process was started by sandbox2 on n029.cluster.edu,
% 0.20/0.35 Thu Jun 9 09:57:06 2022
% 0.20/0.35 The command was "./sos". The process ID is 10931.
% 0.20/0.35
% 0.20/0.35 set(prolog_style_variables).
% 0.20/0.35 set(auto).
% 0.20/0.35 dependent: set(auto1).
% 0.20/0.35 dependent: set(process_input).
% 0.20/0.35 dependent: clear(print_kept).
% 0.20/0.35 dependent: clear(print_new_demod).
% 0.20/0.35 dependent: clear(print_back_demod).
% 0.20/0.35 dependent: clear(print_back_sub).
% 0.20/0.35 dependent: set(control_memory).
% 0.20/0.35 dependent: assign(max_mem, 12000).
% 0.20/0.35 dependent: assign(pick_given_ratio, 4).
% 0.20/0.35 dependent: assign(stats_level, 1).
% 0.20/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.35 dependent: assign(sos_limit, 5000).
% 0.20/0.35 dependent: assign(max_weight, 60).
% 0.20/0.35 clear(print_given).
% 0.20/0.35
% 0.20/0.35 list(usable).
% 0.20/0.35
% 0.20/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.20/0.35
% 0.20/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.20/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.20/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.20/0.35 clauses in usable.
% 0.20/0.35
% 0.20/0.35 dependent: set(knuth_bendix).
% 0.20/0.35 dependent: set(para_from).
% 0.20/0.35 dependent: set(para_into).
% 0.20/0.35 dependent: clear(para_from_right).
% 0.20/0.35 dependent: clear(para_into_right).
% 0.20/0.35 dependent: set(para_from_vars).
% 0.20/0.35 dependent: set(eq_units_both_ways).
% 0.20/0.35 dependent: set(dynamic_demod_all).
% 0.20/0.35 dependent: set(dynamic_demod).
% 0.20/0.35 dependent: set(order_eq).
% 0.20/0.35 dependent: set(back_demod).
% 0.20/0.35 dependent: set(lrpo).
% 0.20/0.35 dependent: set(hyper_res).
% 0.20/0.35 dependent: set(unit_deletion).
% 0.20/0.35 dependent: set(factor).
% 0.20/0.35
% 0.20/0.35 ------------> process usable:
% 0.20/0.35
% 0.20/0.35 ------------> process sos:
% 0.20/0.35 Following clause subsumed by 18 during input processing: 0 [copy,18,flip.1] {-} A=A.
% 0.20/0.35
% 0.20/0.35 ======= end of input processing =======
% 0.20/0.53
% 0.20/0.53 Stopped by limit on insertions
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 Failed to model usable list: disabling FINDER
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 -------------- Softie stats --------------
% 0.20/0.53
% 0.20/0.53 UPDATE_STOP: 300
% 0.20/0.53 SFINDER_TIME_LIMIT: 2
% 0.20/0.53 SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.53 number of clauses in intial UL: 15
% 0.20/0.53 number of clauses initially in problem: 18
% 0.20/0.53 percentage of clauses intially in UL: 83
% 0.20/0.53 percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.53 percent of all initial clauses that are short: 94
% 0.20/0.53 absolute distinct symbol count: 16
% 0.20/0.53 distinct predicate count: 7
% 0.20/0.53 distinct function count: 6
% 0.20/0.53 distinct constant count: 3
% 0.20/0.53
% 0.20/0.53 ---------- no more Softie stats ----------
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 =========== start of search ===========
% 7.05/7.25
% 7.05/7.25
% 7.05/7.25 Changing weight limit from 60 to 59.
% 7.05/7.25
% 7.05/7.25 Resetting weight limit to 59 after 110 givens.
% 7.05/7.25
% 8.56/8.75
% 8.56/8.75
% 8.56/8.75 Changing weight limit from 59 to 58.
% 8.56/8.75
% 8.56/8.75 Resetting weight limit to 58 after 115 givens.
% 8.56/8.75
% 10.31/10.47
% 10.31/10.47
% 10.31/10.47 Changing weight limit from 58 to 56.
% 10.31/10.47
% 10.31/10.47 Resetting weight limit to 56 after 120 givens.
% 10.31/10.47
% 11.58/11.77
% 11.58/11.77
% 11.58/11.77 Changing weight limit from 56 to 55.
% 11.58/11.77
% 11.58/11.77 Resetting weight limit to 55 after 125 givens.
% 11.58/11.77
% 14.48/14.65
% 14.48/14.65
% 14.48/14.65 Changing weight limit from 55 to 54.
% 14.48/14.65
% 14.48/14.65 Resetting weight limit to 54 after 145 givens.
% 14.48/14.65
% 16.02/16.27
% 16.02/16.27 -- HEY sandbox2, WE HAVE A PROOF!! --
% 16.02/16.27
% 16.02/16.27 -----> EMPTY CLAUSE at 15.89 sec ----> 7983 [hyper,7967,8,16,22,7946] {-} $F.
% 16.02/16.27
% 16.02/16.27 Length of proof is 44. Level of proof is 27.
% 16.02/16.27
% 16.02/16.27 ---------------- PROOF ----------------
% 16.02/16.27 % SZS status Unsatisfiable
% 16.02/16.27 % SZS output start Refutation
% 16.02/16.27
% 16.02/16.27 1 [] {+} -environment(A)| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk1(B,A))|in_environment(A,sk2(A)).
% 16.02/16.27 2 [] {+} -environment(A)| -in_environment(A,B)|greater_or_equal(sk1(B,A),B)|in_environment(A,sk2(A)).
% 16.02/16.27 3 [] {+} -environment(A)| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk1(B,A))| -greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))).
% 16.02/16.27 4 [] {+} -environment(A)| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk1(B,A))| -subpopulations(first_movers,efficient_producers,A,C)| -greater(C,sk2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)).
% 16.02/16.27 5 [] {+} -environment(A)| -in_environment(A,B)|greater_or_equal(sk1(B,A),B)| -greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))).
% 16.02/16.27 6 [] {+} -environment(A)| -in_environment(A,B)|greater_or_equal(sk1(B,A),B)| -subpopulations(first_movers,efficient_producers,A,C)| -greater(C,sk2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)).
% 16.02/16.27 7 [] {+} -environment(A)| -in_environment(A,B)| -greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))|in_environment(A,sk2(A)).
% 16.02/16.27 8 [] {+} -environment(A)| -in_environment(A,B)| -greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))| -greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))).
% 16.02/16.27 9 [] {+} -environment(A)| -in_environment(A,B)| -greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))| -subpopulations(first_movers,efficient_producers,A,C)| -greater(C,sk2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)).
% 16.02/16.27 10 [] {+} -environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk3(B,A))|B=critical_point(A).
% 16.02/16.27 11 [] {+} -environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))| -in_environment(A,B)|greater(sk3(B,A),B)|B=critical_point(A).
% 16.02/16.27 12 [] {+} -environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))| -in_environment(A,B)| -greater(growth_rate(efficient_producers,sk3(B,A)),growth_rate(first_movers,sk3(B,A)))|B=critical_point(A).
% 16.02/16.27 13 [] {+} -environment(A)| -stable(A)|in_environment(A,sk4(A)).
% 16.02/16.27 14 [] {+} -environment(A)| -stable(A)| -subpopulations(first_movers,efficient_producers,A,B)| -greater_or_equal(B,sk4(A))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)).
% 16.02/16.27 15 [] {+} -in_environment(sk5,critical_point(sk5)).
% 16.02/16.27 16 [] {-} environment(sk5).
% 16.02/16.27 17 [] {-} stable(sk5).
% 16.02/16.27 22 [hyper,17,13,16] {-} in_environment(sk5,sk4(sk5)).
% 16.02/16.27 28 [hyper,22,2,16] {-} greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))|in_environment(sk5,sk2(sk5)).
% 16.02/16.27 29 [hyper,22,1,16] {-} subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))|in_environment(sk5,sk2(sk5)).
% 16.02/16.27 39 [hyper,28,11,16] {-} greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))|greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|greater(sk3(sk2(sk5),sk5),sk2(sk5))|sk2(sk5)=critical_point(sk5).
% 16.02/16.27 40 [hyper,28,10,16] {-} greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))|greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))|sk2(sk5)=critical_point(sk5).
% 16.02/16.27 65 [para_into,28.2.2,12.5.1] {-} greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))|in_environment(sk5,critical_point(A))| -environment(A)|greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))| -in_environment(A,sk2(sk5))| -greater(growth_rate(efficient_producers,sk3(sk2(sk5),A)),growth_rate(first_movers,sk3(sk2(sk5),A))).
% 16.02/16.27 136 [hyper,29,11,16] {-} subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))|greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|greater(sk3(sk2(sk5),sk5),sk2(sk5))|sk2(sk5)=critical_point(sk5).
% 16.02/16.27 137 [hyper,29,10,16] {-} subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))|greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))|sk2(sk5)=critical_point(sk5).
% 16.02/16.27 1265 [para_from,39.4.1,28.2.2,unit_del,15,factor_simp] {-} greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))|greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|greater(sk3(sk2(sk5),sk5),sk2(sk5)).
% 16.02/16.27 1382 [para_from,40.4.1,28.2.2,unit_del,15,factor_simp] {-} greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))|greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)).
% 16.02/16.27 1910 [hyper,136,3,16,22,factor_simp] {-} subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))|greater(sk3(sk2(sk5),sk5),sk2(sk5))|sk2(sk5)=critical_point(sk5).
% 16.02/16.27 1965 [para_from,1910.3.1,29.2.2,unit_del,15,factor_simp] {-} subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))|greater(sk3(sk2(sk5),sk5),sk2(sk5)).
% 16.02/16.27 2635 [hyper,137,3,16,22,factor_simp] {-} subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))|subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))|sk2(sk5)=critical_point(sk5).
% 16.02/16.27 2771 [para_from,2635.3.1,29.2.2,unit_del,15,factor_simp] {-} subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))|subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)).
% 16.02/16.27 2772 [hyper,2771,14,16,17,1382,factor_simp] {-} subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))|greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))|greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))).
% 16.02/16.27 2776 [hyper,2771,4,16,22,1965,factor_simp,factor_simp] {-} subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))|greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))).
% 16.02/16.27 2816 [hyper,2776,12,16,29,factor_simp] {-} subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))|greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|sk2(sk5)=critical_point(sk5).
% 16.02/16.27 2869 [hyper,2816,3,16,22,factor_simp] {-} subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))|sk2(sk5)=critical_point(sk5).
% 16.02/16.27 2989 [para_from,2869.2.1,29.2.2,unit_del,15,factor_simp] {-} subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)).
% 16.02/16.27 2990 [hyper,2989,14,16,17,1265] {-} greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))|greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|greater(sk3(sk2(sk5),sk5),sk2(sk5)).
% 16.02/16.27 4125 [hyper,2990,7,16,22] {-} greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|greater(sk3(sk2(sk5),sk5),sk2(sk5))|in_environment(sk5,sk2(sk5)).
% 16.02/16.27 4229 [para_into,4125.3.2,11.5.1,factor_simp] {-} greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|greater(sk3(sk2(sk5),sk5),sk2(sk5))|in_environment(sk5,critical_point(A))| -environment(A)| -in_environment(A,sk2(sk5))|greater(sk3(sk2(sk5),A),sk2(sk5)).
% 16.02/16.27 4231 [factor,4229.2.6,unit_del,15,16] {-} greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|greater(sk3(sk2(sk5),sk5),sk2(sk5))| -in_environment(sk5,sk2(sk5)).
% 16.02/16.27 4232 [hyper,4231,4125,factor_simp,factor_simp] {-} greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|greater(sk3(sk2(sk5),sk5),sk2(sk5)).
% 16.02/16.27 4234 [hyper,4232,5,16,22] {-} greater(sk3(sk2(sk5),sk5),sk2(sk5))|greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)).
% 16.02/16.27 4329 [hyper,4234,14,16,17,2989] {-} greater(sk3(sk2(sk5),sk5),sk2(sk5))|greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))).
% 16.02/16.27 4357 [hyper,4329,8,16,22,4232,factor_simp] {-} greater(sk3(sk2(sk5),sk5),sk2(sk5)).
% 16.02/16.27 7163 [hyper,2772,7,16,22] {-} subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))|greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|in_environment(sk5,sk2(sk5)).
% 16.02/16.27 7272 [para_into,7163.3.2,10.5.1,factor_simp] {-} subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))|greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|in_environment(sk5,critical_point(A))| -environment(A)| -in_environment(A,sk2(sk5))|subpopulations(first_movers,efficient_producers,A,sk3(sk2(sk5),A)).
% 16.02/16.27 7273 [factor,7272.1.6,unit_del,15,16] {-} subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))|greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))| -in_environment(sk5,sk2(sk5)).
% 16.02/16.27 7274 [hyper,7273,7163,factor_simp,factor_simp] {-} subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))|greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))).
% 16.02/16.27 7276 [hyper,7274,5,16,22] {-} subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))|greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)).
% 16.02/16.27 7316 [hyper,7276,14,16,17,2989] {-} subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))|greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))).
% 16.02/16.27 7390 [hyper,7316,8,16,22,7274,factor_simp] {-} subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)).
% 16.02/16.27 7392 [hyper,7390,6,16,22,4357] {-} greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))|greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))).
% 16.02/16.27 7411 [hyper,7392,14,16,17,2989] {-} greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))|greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))).
% 16.02/16.27 7785 [hyper,7411,9,16,22,7390,4357,factor_simp] {-} greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))).
% 16.02/16.27 7786 [hyper,7785,65,16,28,unit_del,15,factor_simp] {-} greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))|greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))).
% 16.02/16.27 7815 [hyper,7786,14,16,17,2989] {-} greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))).
% 16.02/16.27 7851 [hyper,7815,7,16,22] {-} greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|in_environment(sk5,sk2(sk5)).
% 16.02/16.27 7892 [hyper,7851,12,16,7785,factor_simp] {-} greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|sk2(sk5)=critical_point(sk5).
% 16.02/16.27 7946 [para_from,7892.2.1,7851.2.2,unit_del,15,factor_simp] {-} greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))).
% 16.02/16.27 7948 [hyper,7946,5,16,22] {-} greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)).
% 16.02/16.27 7967 [hyper,7948,14,16,17,2989] {-} greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))).
% 16.02/16.27 7983 [hyper,7967,8,16,22,7946] {-} $F.
% 16.02/16.27
% 16.02/16.27 % SZS output end Refutation
% 16.02/16.27 ------------ end of proof -------------
% 16.02/16.27
% 16.02/16.27
% 16.02/16.27 Search stopped by max_proofs option.
% 16.02/16.27
% 16.02/16.27
% 16.02/16.27 Search stopped by max_proofs option.
% 16.02/16.27
% 16.02/16.27 ============ end of search ============
% 16.02/16.27
% 16.02/16.27 That finishes the proof of the theorem.
% 16.02/16.27
% 16.02/16.27 Process 10931 finished Thu Jun 9 09:57:22 2022
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