%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : MGT030-1 : 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 22:25:53 EDT 2022
% Result : Unsatisfiable 0.59s 0.85s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : MGT030-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.09 % Command : sos-script %s
% 0.09/0.28 % Computer : n029.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Thu Jun 9 11:22:37 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.09/0.29 ----- Otter 3.2, August 2001 -----
% 0.09/0.29 The process was started by sandbox2 on n029.cluster.edu,
% 0.09/0.29 Thu Jun 9 11:22:37 2022
% 0.09/0.29 The command was "./sos". The process ID is 24594.
% 0.09/0.29
% 0.09/0.29 set(prolog_style_variables).
% 0.09/0.29 set(auto).
% 0.09/0.29 dependent: set(auto1).
% 0.09/0.29 dependent: set(process_input).
% 0.09/0.29 dependent: clear(print_kept).
% 0.09/0.29 dependent: clear(print_new_demod).
% 0.09/0.29 dependent: clear(print_back_demod).
% 0.09/0.29 dependent: clear(print_back_sub).
% 0.09/0.29 dependent: set(control_memory).
% 0.09/0.29 dependent: assign(max_mem, 12000).
% 0.09/0.29 dependent: assign(pick_given_ratio, 4).
% 0.09/0.29 dependent: assign(stats_level, 1).
% 0.09/0.29 dependent: assign(pick_semantic_ratio, 3).
% 0.09/0.29 dependent: assign(sos_limit, 5000).
% 0.09/0.29 dependent: assign(max_weight, 60).
% 0.09/0.29 clear(print_given).
% 0.09/0.29
% 0.09/0.29 list(usable).
% 0.09/0.29
% 0.09/0.29 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 0.09/0.29
% 0.09/0.29 This is a non-Horn set without equality. The strategy
% 0.09/0.29 will be ordered hyper_res, ur_res, unit deletion, and
% 0.09/0.29 factoring, with satellites in sos and nuclei in usable.
% 0.09/0.29
% 0.09/0.29 dependent: set(hyper_res).
% 0.09/0.29 dependent: set(factor).
% 0.09/0.29 dependent: set(unit_deletion).
% 0.09/0.29
% 0.09/0.29 ------------> process usable:
% 0.09/0.29
% 0.09/0.29 ------------> process sos:
% 0.09/0.29
% 0.09/0.29 ======= end of input processing =======
% 0.13/0.50
% 0.13/0.50 Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.50
% 0.13/0.50 Stopped by limit on number of solutions
% 0.13/0.50
% 0.13/0.50
% 0.13/0.50 -------------- Softie stats --------------
% 0.13/0.50
% 0.13/0.50 UPDATE_STOP: 300
% 0.13/0.50 SFINDER_TIME_LIMIT: 2
% 0.13/0.50 SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.50 number of clauses in intial UL: 14
% 0.13/0.50 number of clauses initially in problem: 16
% 0.13/0.50 percentage of clauses intially in UL: 87
% 0.13/0.50 percentage of distinct symbols occuring in initial UL: 100
% 0.13/0.50 percent of all initial clauses that are short: 93
% 0.13/0.50 absolute distinct symbol count: 14
% 0.13/0.50 distinct predicate count: 6
% 0.13/0.50 distinct function count: 5
% 0.13/0.50 distinct constant count: 3
% 0.13/0.50
% 0.13/0.50 ---------- no more Softie stats ----------
% 0.13/0.50
% 0.13/0.50
% 0.13/0.50
% 0.13/0.50 Stopped by limit on insertions
% 0.13/0.50
% 0.13/0.50 =========== start of search ===========
% 0.59/0.85
% 0.59/0.85 -------- PROOF --------
% 0.59/0.85 % SZS status Unsatisfiable
% 0.59/0.85 % SZS output start Refutation
% 0.59/0.85
% 0.59/0.85 Stopped by limit on insertions
% 0.59/0.85
% 0.59/0.85 Stopped by limit on insertions
% 0.59/0.85
% 0.59/0.85 Model 2 [ 1 1 17491 ] (0.00 seconds, 250000 Inserts)
% 0.59/0.85
% 0.59/0.85 Stopped by limit on insertions
% 0.59/0.85
% 0.59/0.85 -----> EMPTY CLAUSE at 0.53 sec ----> 76 [hyper,73,8,15,17,72] {-} $F.
% 0.59/0.85
% 0.59/0.85 Length of proof is 33. Level of proof is 19.
% 0.59/0.85
% 0.59/0.85 ---------------- PROOF ----------------
% 0.59/0.85 % SZS status Unsatisfiable
% 0.59/0.85 % SZS output start Refutation
% 0.59/0.85
% 0.59/0.85 1 [] {+} -environment(A)| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk1(B,A))|in_environment(A,sk2(A)).
% 0.59/0.85 2 [] {+} -environment(A)| -in_environment(A,B)|greater_or_equal(sk1(B,A),B)|in_environment(A,sk2(A)).
% 0.59/0.85 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))).
% 0.59/0.85 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)).
% 0.59/0.85 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))).
% 0.59/0.85 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)).
% 0.59/0.85 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)).
% 0.59/0.85 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))).
% 0.59/0.85 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)).
% 0.59/0.85 10 [] {+} -environment(A)| -stable(A)|in_environment(A,sk3(A)).
% 0.59/0.85 11 [] {+} -environment(A)| -stable(A)| -subpopulations(first_movers,efficient_producers,A,B)| -greater_or_equal(B,sk3(A))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)).
% 0.59/0.85 12 [] {+} -in_environment(sk4,A)|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))|subpopulations(first_movers,efficient_producers,sk4,sk5(A)).
% 0.59/0.85 13 [] {+} -in_environment(sk4,A)|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))|greater(sk5(A),A).
% 0.59/0.85 14 [] {+} -in_environment(sk4,A)|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))| -greater(growth_rate(efficient_producers,sk5(A)),growth_rate(first_movers,sk5(A))).
% 0.59/0.85 15 [] {-} environment(sk4).
% 0.59/0.85 16 [] {-} stable(sk4).
% 0.59/0.85 17 [hyper,16,10,15] {+} in_environment(sk4,sk3(sk4)).
% 0.59/0.85 20 [hyper,17,2,15] {-} greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))|in_environment(sk4,sk2(sk4)).
% 0.59/0.85 21 [hyper,17,1,15] {-} subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|in_environment(sk4,sk2(sk4)).
% 0.59/0.85 22 [hyper,20,13] {+} greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))|greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))|greater(sk5(sk2(sk4)),sk2(sk4)).
% 0.59/0.85 23 [hyper,20,12] {+} greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))|greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))|subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))).
% 0.59/0.85 24 [hyper,21,13] {+} subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))|greater(sk5(sk2(sk4)),sk2(sk4)).
% 0.59/0.85 25 [hyper,21,12] {+} subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))|subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))).
% 0.59/0.85 29 [hyper,24,3,15,17,factor_simp] {+} subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|greater(sk5(sk2(sk4)),sk2(sk4)).
% 0.59/0.85 33 [hyper,25,3,15,17,factor_simp] {-} subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))).
% 0.59/0.85 34 [hyper,33,11,15,16,23,factor_simp] {+} subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))|greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))|greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))).
% 0.59/0.85 38 [hyper,29,4,15,17,33,factor_simp,factor_simp] {-} subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))).
% 0.59/0.85 39 [hyper,38,14,21,factor_simp] {+} subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))).
% 0.59/0.85 43 [hyper,39,3,15,17,factor_simp] {-} subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)).
% 0.59/0.85 44 [hyper,34,7,15,17] {+} subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))|greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))|in_environment(sk4,sk2(sk4)).
% 0.59/0.85 47 [hyper,43,11,15,16,22] {+} greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))|greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))|greater(sk5(sk2(sk4)),sk2(sk4)).
% 0.59/0.85 49 [hyper,44,12,factor_simp,factor_simp] {+} subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))|greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))).
% 0.59/0.85 51 [hyper,49,5,15,17] {-} subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))|greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)).
% 0.59/0.85 52 [hyper,51,11,15,16,43] {+} subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))|greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))).
% 0.59/0.85 53 [hyper,47,7,15,17] {+} greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))|greater(sk5(sk2(sk4)),sk2(sk4))|in_environment(sk4,sk2(sk4)).
% 0.59/0.85 56 [hyper,53,13,factor_simp,factor_simp] {+} greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))|greater(sk5(sk2(sk4)),sk2(sk4)).
% 0.59/0.85 58 [hyper,56,5,15,17] {+} greater(sk5(sk2(sk4)),sk2(sk4))|greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)).
% 0.59/0.85 59 [hyper,58,11,15,16,43] {+} greater(sk5(sk2(sk4)),sk2(sk4))|greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))).
% 0.59/0.85 60 [hyper,59,8,15,17,56,factor_simp] {+} greater(sk5(sk2(sk4)),sk2(sk4)).
% 0.59/0.85 61 [hyper,52,8,15,17,49,factor_simp] {-} subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))).
% 0.59/0.85 63 [hyper,60,6,15,17,61] {-} greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))|greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))).
% 0.59/0.85 64 [hyper,63,11,15,16,43] {+} greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))|greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))).
% 0.59/0.85 65 [hyper,64,14,20] {+} greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))|greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))|greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)).
% 0.59/0.85 66 [hyper,64,9,15,17,61,60,factor_simp] {-} greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))).
% 0.59/0.85 67 [hyper,65,11,15,16,43,factor_simp] {+} greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))|greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))).
% 0.59/0.85 69 [hyper,67,7,15,17] {+} greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))|in_environment(sk4,sk2(sk4)).
% 0.59/0.85 71 [hyper,67,5,15,17] {+} greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))|greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)).
% 0.59/0.85 72 [hyper,69,14,66,factor_simp] {+} greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))).
% 0.59/0.85 73 [hyper,71,11,15,16,43,factor_simp] {+} greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))).
% 0.59/0.85 76 [hyper,73,8,15,17,72] {-} $F.
% 0.59/0.85
% 0.59/0.85 % SZS output end Refutation
% 0.59/0.85 ------------ end of proof -------------
% 0.59/0.85
% 0.59/0.85
% 0.59/0.85 Search stopped by max_proofs option.
% 0.59/0.85
% 0.59/0.85
% 0.59/0.85 Search stopped by max_proofs option.
% 0.59/0.85
% 0.59/0.85 ============ end of search ============
% 0.59/0.85
% 0.59/0.85 ----------- soft-scott stats ----------
% 0.59/0.85
% 0.59/0.85 true clauses given 26 (66.7%)
% 0.59/0.85 false clauses given 13
% 0.59/0.85
% 0.59/0.85 FALSE TRUE
% 0.59/0.85 tot: 0 0 (-nan% true)
% 0.59/0.85
% 0.59/0.85
% 0.59/0.85 Model 2 [ 1 -11 17491 ] (0.00 seconds, 250000 Inserts)
% 0.59/0.85
% 0.59/0.85 That finishes the proof of the theorem.
% 0.59/0.85
% 0.59/0.85 Process 24594 finished Thu Jun 9 11:22:37 2022
%------------------------------------------------------------------------------