%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : MGT036-3 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:01:48 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.45s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT036-3 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 17:22:21 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.45 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.11/0.45
% 0.11/0.45 % SZS status Unsatisfiable
% 0.11/0.45
% 0.11/0.45 % SZS output start Proof
% 0.11/0.45 Axiom 1 (a13_star_5): environment(sk1) = true.
% 0.11/0.45 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.11/0.45 Axiom 3 (a13_star_6): subpopulations(first_movers, efficient_producers, sk1, sk2) = true.
% 0.11/0.45 Axiom 4 (a13_star_7): greater_or_equal(growth_rate(first_movers, sk2), zero) = true.
% 0.11/0.45 Axiom 5 (a13_star_8): greater(zero, growth_rate(efficient_producers, sk2)) = true.
% 0.11/0.45 Axiom 6 (mp_symmetry_of_subpopulations_1): ifeq(subpopulations(X, Y, Z, W), true, ifeq(environment(Z), true, subpopulations(Y, X, Z, W), true), true) = true.
% 0.11/0.45 Axiom 7 (d2_2): ifeq(greater(zero, growth_rate(X, Y)), true, ifeq(greater_or_equal(growth_rate(Z, Y), zero), true, ifeq(subpopulations(X, Z, W, Y), true, ifeq(environment(W), true, outcompetes(Z, X, Y), true), true), true), true) = true.
% 0.11/0.45
% 0.11/0.45 Goal 1 (prove_t5_star_9): tuple(environment(X), subpopulations(first_movers, efficient_producers, X, Y), outcompetes(first_movers, efficient_producers, Y)) = tuple(true, true, true).
% 0.11/0.45 The goal is true when:
% 0.11/0.45 X = sk1
% 0.11/0.45 Y = sk2
% 0.11/0.45
% 0.11/0.45 Proof:
% 0.11/0.45 tuple(environment(sk1), subpopulations(first_movers, efficient_producers, sk1, sk2), outcompetes(first_movers, efficient_producers, sk2))
% 0.11/0.45 = { by axiom 3 (a13_star_6) }
% 0.11/0.45 tuple(environment(sk1), true, outcompetes(first_movers, efficient_producers, sk2))
% 0.11/0.45 = { by axiom 1 (a13_star_5) }
% 0.11/0.45 tuple(true, true, outcompetes(first_movers, efficient_producers, sk2))
% 0.11/0.45 = { by axiom 2 (ifeq_axiom) R->L }
% 0.11/0.45 tuple(true, true, ifeq(true, true, outcompetes(first_movers, efficient_producers, sk2), true))
% 0.11/0.45 = { by axiom 1 (a13_star_5) R->L }
% 0.11/0.45 tuple(true, true, ifeq(environment(sk1), true, outcompetes(first_movers, efficient_producers, sk2), true))
% 0.11/0.45 = { by axiom 2 (ifeq_axiom) R->L }
% 0.11/0.45 tuple(true, true, ifeq(true, true, ifeq(environment(sk1), true, outcompetes(first_movers, efficient_producers, sk2), true), true))
% 0.11/0.45 = { by axiom 2 (ifeq_axiom) R->L }
% 0.11/0.45 tuple(true, true, ifeq(true, true, ifeq(true, true, ifeq(environment(sk1), true, outcompetes(first_movers, efficient_producers, sk2), true), true), true))
% 0.11/0.45 = { by axiom 4 (a13_star_7) R->L }
% 0.11/0.45 tuple(true, true, ifeq(greater_or_equal(growth_rate(first_movers, sk2), zero), true, ifeq(true, true, ifeq(environment(sk1), true, outcompetes(first_movers, efficient_producers, sk2), true), true), true))
% 0.11/0.45 = { by axiom 2 (ifeq_axiom) R->L }
% 0.11/0.45 tuple(true, true, ifeq(true, true, ifeq(greater_or_equal(growth_rate(first_movers, sk2), zero), true, ifeq(true, true, ifeq(environment(sk1), true, outcompetes(first_movers, efficient_producers, sk2), true), true), true), true))
% 0.11/0.45 = { by axiom 5 (a13_star_8) R->L }
% 0.11/0.46 tuple(true, true, ifeq(greater(zero, growth_rate(efficient_producers, sk2)), true, ifeq(greater_or_equal(growth_rate(first_movers, sk2), zero), true, ifeq(true, true, ifeq(environment(sk1), true, outcompetes(first_movers, efficient_producers, sk2), true), true), true), true))
% 0.11/0.46 = { by axiom 6 (mp_symmetry_of_subpopulations_1) R->L }
% 0.11/0.46 tuple(true, true, ifeq(greater(zero, growth_rate(efficient_producers, sk2)), true, ifeq(greater_or_equal(growth_rate(first_movers, sk2), zero), true, ifeq(ifeq(subpopulations(first_movers, efficient_producers, sk1, sk2), true, ifeq(environment(sk1), true, subpopulations(efficient_producers, first_movers, sk1, sk2), true), true), true, ifeq(environment(sk1), true, outcompetes(first_movers, efficient_producers, sk2), true), true), true), true))
% 0.11/0.46 = { by axiom 3 (a13_star_6) }
% 0.11/0.46 tuple(true, true, ifeq(greater(zero, growth_rate(efficient_producers, sk2)), true, ifeq(greater_or_equal(growth_rate(first_movers, sk2), zero), true, ifeq(ifeq(true, true, ifeq(environment(sk1), true, subpopulations(efficient_producers, first_movers, sk1, sk2), true), true), true, ifeq(environment(sk1), true, outcompetes(first_movers, efficient_producers, sk2), true), true), true), true))
% 0.11/0.46 = { by axiom 2 (ifeq_axiom) }
% 0.11/0.46 tuple(true, true, ifeq(greater(zero, growth_rate(efficient_producers, sk2)), true, ifeq(greater_or_equal(growth_rate(first_movers, sk2), zero), true, ifeq(ifeq(environment(sk1), true, subpopulations(efficient_producers, first_movers, sk1, sk2), true), true, ifeq(environment(sk1), true, outcompetes(first_movers, efficient_producers, sk2), true), true), true), true))
% 0.11/0.46 = { by axiom 1 (a13_star_5) }
% 0.11/0.46 tuple(true, true, ifeq(greater(zero, growth_rate(efficient_producers, sk2)), true, ifeq(greater_or_equal(growth_rate(first_movers, sk2), zero), true, ifeq(ifeq(true, true, subpopulations(efficient_producers, first_movers, sk1, sk2), true), true, ifeq(environment(sk1), true, outcompetes(first_movers, efficient_producers, sk2), true), true), true), true))
% 0.11/0.46 = { by axiom 2 (ifeq_axiom) }
% 0.11/0.46 tuple(true, true, ifeq(greater(zero, growth_rate(efficient_producers, sk2)), true, ifeq(greater_or_equal(growth_rate(first_movers, sk2), zero), true, ifeq(subpopulations(efficient_producers, first_movers, sk1, sk2), true, ifeq(environment(sk1), true, outcompetes(first_movers, efficient_producers, sk2), true), true), true), true))
% 0.11/0.46 = { by axiom 7 (d2_2) }
% 0.11/0.46 tuple(true, true, true)
% 0.11/0.46 % SZS output end Proof
% 0.11/0.46
% 0.11/0.46 RESULT: Unsatisfiable (the axioms are contradictory).
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