%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : MGT036-1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n008.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 8 06:13:18 AM UTC 2026 % Result : Unsatisfiable 0.14s 0.38s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT036-1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.08/0.35 % Computer : n008.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Mon Sep 7 12:40:53 UTC 2026 % 0.08/0.35 % CPUTime : % 0.14/0.38 % SZS status Unsatisfiable % 0.14/0.38 % SZS output begin IncompleteProof % 0.14/0.38 cnf(c0, axiom, % 0.14/0.38 environment(sk1)). % 0.14/0.38 cnf(c1, plain, % 0.14/0.38 environment(sk1), % 0.14/0.38 inference(start, [], [c0])). % 0.14/0.38 % 0.14/0.38 cnf(c2, axiom, % 0.14/0.38 ~greater(zero,growth_rate(X0,X1)) | ~greater(resilience(X0),resilience(X2)) | greater(zero,growth_rate(X2,X1)) | ~in_environment(X3,X1) | ~environment(X3)). % 0.14/0.38 cnf(a0, assumption, % 0.14/0.38 sk1 = X3). % 0.14/0.38 cnf(c3, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.14/0.38 cnf(c4, plain, % 0.14/0.38 ~greater(zero,growth_rate(X0,X1)) | ~greater(resilience(X0),resilience(X2)) | greater(zero,growth_rate(X2,X1)) | ~in_environment(X3,X1), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.14/0.38 % 0.14/0.38 cnf(c5, axiom, % 0.14/0.38 greater(zero,growth_rate(X4,X5)) | ~outcompetes(X6,X4,X5) | ~subpopulations(X4,X6,X7,X5) | ~environment(X7)). % 0.14/0.38 cnf(a1, assumption, % 0.14/0.38 zero = zero). % 0.14/0.38 cnf(a2, assumption, % 0.14/0.38 growth_rate(X0,X1) = growth_rate(X4,X5)). % 0.14/0.38 cnf(c6, plain, % 0.14/0.38 ~greater(resilience(X0),resilience(X2)) | greater(zero,growth_rate(X2,X1)) | ~in_environment(X3,X1), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a1, a2])], [c4, c5])). % 0.14/0.38 cnf(c7, plain, % 0.14/0.38 ~outcompetes(X6,X4,X5) | ~subpopulations(X4,X6,X7,X5) | ~environment(X7), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a1, a2])], [c4, c5])). % 0.14/0.38 % 0.14/0.38 cnf(c8, axiom, % 0.14/0.38 outcompetes(first_movers,efficient_producers,sk2)). % 0.14/0.38 cnf(a3, assumption, % 0.14/0.38 X6 = first_movers). % 0.14/0.38 cnf(a4, assumption, % 0.14/0.38 X4 = efficient_producers). % 0.14/0.38 cnf(a5, assumption, % 0.14/0.38 X5 = sk2). % 0.14/0.38 cnf(c9, plain, % 0.14/0.38 ~subpopulations(X4,X6,X7,X5) | ~environment(X7), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c7, c8])). % 0.14/0.38 cnf(c10, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c7, c8])). % 0.14/0.38 % 0.14/0.38 cnf(c11, axiom, % 0.14/0.38 subpopulations(efficient_producers,first_movers,X8,X9) | ~subpopulations(first_movers,efficient_producers,X8,X9) | ~environment(X8)). % 0.14/0.38 cnf(a6, assumption, % 0.14/0.38 X4 = efficient_producers). % 0.14/0.38 cnf(a7, assumption, % 0.14/0.38 X6 = first_movers). % 0.14/0.38 cnf(a8, assumption, % 0.14/0.38 X7 = X8). % 0.14/0.38 cnf(a9, assumption, % 0.14/0.38 X5 = X9). % 0.14/0.38 cnf(c12, plain, % 0.14/0.38 ~environment(X7), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a6, a7, a8, a9])], [c9, c11])). % 0.14/0.38 cnf(c13, plain, % 0.14/0.38 ~subpopulations(first_movers,efficient_producers,X8,X9) | ~environment(X8), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a6, a7, a8, a9])], [c9, c11])). % 0.14/0.38 % 0.14/0.38 cnf(c14, axiom, % 0.14/0.38 subpopulations(first_movers,efficient_producers,sk1,sk2)). % 0.14/0.38 cnf(a10, assumption, % 0.14/0.38 first_movers = first_movers). % 0.14/0.38 cnf(a11, assumption, % 0.14/0.38 efficient_producers = efficient_producers). % 0.14/0.38 cnf(a12, assumption, % 0.14/0.38 X8 = sk1). % 0.14/0.38 cnf(a13, assumption, % 0.14/0.38 X9 = sk2). % 0.14/0.38 cnf(c15, plain, % 0.14/0.38 ~environment(X8), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a10, a11, a12, a13])], [c13, c14])). % 0.14/0.38 cnf(c16, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a10, a11, a12, a13])], [c13, c14])). % 0.14/0.38 % 0.14/0.38 cnf(c17, plain, % 0.14/0.38 environment(sk1)). % 0.14/0.38 cnf(a14, assumption, % 0.14/0.38 X8 = sk1). % 0.14/0.38 cnf(c18, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(predicate_reduction, [assumptions([a14])], [c15, c17])). % 0.14/0.38 % 0.14/0.38 cnf(c19, plain, % 0.14/0.38 environment(sk1)). % 0.14/0.38 cnf(a15, assumption, % 0.14/0.38 X7 = sk1). % 0.14/0.38 cnf(c20, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(predicate_reduction, [assumptions([a15])], [c12, c19])). % 0.14/0.38 % 0.14/0.38 cnf(c21, axiom, % 0.14/0.38 greater(resilience(efficient_producers),resilience(first_movers))). % 0.14/0.38 cnf(a16, assumption, % 0.14/0.38 resilience(X0) = resilience(efficient_producers)). % 0.14/0.38 cnf(a17, assumption, % 0.14/0.38 resilience(X2) = resilience(first_movers)). % 0.14/0.38 cnf(c22, plain, % 0.14/0.38 greater(zero,growth_rate(X2,X1)) | ~in_environment(X3,X1), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a16, a17])], [c6, c21])). % 0.14/0.38 cnf(c23, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a16, a17])], [c6, c21])). % 0.14/0.38 % 0.14/0.38 cnf(c24, axiom, % 0.14/0.38 ~greater(zero,growth_rate(X10,X11)) | ~greater_or_equal(growth_rate(X10,X11),zero)). % 0.14/0.38 cnf(a18, assumption, % 0.14/0.38 zero = zero). % 0.14/0.38 cnf(a19, assumption, % 0.14/0.38 growth_rate(X2,X1) = growth_rate(X10,X11)). % 0.14/0.38 cnf(c25, plain, % 0.14/0.38 ~in_environment(X3,X1), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a18, a19])], [c22, c24])). % 0.14/0.38 cnf(c26, plain, % 0.14/0.38 ~greater_or_equal(growth_rate(X10,X11),zero), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a18, a19])], [c22, c24])). % 0.14/0.38 % 0.14/0.38 cnf(c27, axiom, % 0.14/0.38 greater_or_equal(growth_rate(X12,X13),zero) | ~outcompetes(X12,X14,X13) | ~subpopulations(X14,X12,X15,X13) | ~environment(X15)). % 0.14/0.38 cnf(a20, assumption, % 0.14/0.38 growth_rate(X10,X11) = growth_rate(X12,X13)). % 0.14/0.38 cnf(a21, assumption, % 0.14/0.38 zero = zero). % 0.14/0.38 cnf(c28, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a20, a21])], [c26, c27])). % 0.14/0.38 cnf(c29, plain, % 0.14/0.38 ~outcompetes(X12,X14,X13) | ~subpopulations(X14,X12,X15,X13) | ~environment(X15), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a20, a21])], [c26, c27])). % 0.14/0.38 % 0.14/0.38 cnf(c30, plain, % 0.14/0.38 outcompetes(X6,X4,X5)). % 0.14/0.38 cnf(a22, assumption, % 0.14/0.38 X12 = X6). % 0.14/0.38 cnf(a23, assumption, % 0.14/0.38 X14 = X4). % 0.14/0.38 cnf(a24, assumption, % 0.14/0.38 X13 = X5). % 0.14/0.38 cnf(c31, plain, % 0.14/0.38 ~subpopulations(X14,X12,X15,X13) | ~environment(X15), % 0.14/0.38 inference(predicate_reduction, [assumptions([a22, a23, a24])], [c29, c30])). % 0.14/0.38 % 0.14/0.38 cnf(c32, plain, % 0.14/0.38 subpopulations(X4,X6,X7,X5)). % 0.14/0.38 cnf(a25, assumption, % 0.14/0.38 X14 = X4). % 0.14/0.38 cnf(a26, assumption, % 0.14/0.38 X12 = X6). % 0.14/0.38 cnf(a27, assumption, % 0.14/0.38 X15 = X7). % 0.14/0.38 cnf(a28, assumption, % 0.14/0.38 X13 = X5). % 0.14/0.38 cnf(c33, plain, % 0.14/0.38 ~environment(X15), % 0.14/0.38 inference(predicate_reduction, [assumptions([a25, a26, a27, a28])], [c31, c32])). % 0.14/0.38 % 0.14/0.38 cnf(c34, plain, % 0.14/0.38 environment(sk1)). % 0.14/0.38 cnf(a29, assumption, % 0.14/0.38 X15 = sk1). % 0.14/0.38 cnf(c35, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(predicate_reduction, [assumptions([a29])], [c33, c34])). % 0.14/0.38 % 0.14/0.38 cnf(c36, axiom, % 0.14/0.38 in_environment(X16,X17) | ~subpopulations(first_movers,efficient_producers,X16,X17) | ~environment(X16)). % 0.14/0.38 cnf(a30, assumption, % 0.14/0.38 X3 = X16). % 0.14/0.38 cnf(a31, assumption, % 0.14/0.38 X1 = X17). % 0.14/0.38 cnf(c37, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a30, a31])], [c25, c36])). % 0.14/0.38 cnf(c38, plain, % 0.14/0.38 ~subpopulations(first_movers,efficient_producers,X16,X17) | ~environment(X16), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a30, a31])], [c25, c36])). % 0.14/0.38 % 0.14/0.38 cnf(c39, plain, % 0.14/0.38 subpopulations(first_movers,efficient_producers,X8,X9)). % 0.14/0.38 cnf(a32, assumption, % 0.14/0.38 first_movers = first_movers). % 0.14/0.38 cnf(a33, assumption, % 0.14/0.38 efficient_producers = efficient_producers). % 0.14/0.38 cnf(a34, assumption, % 0.14/0.38 X16 = X8). % 0.14/0.38 cnf(a35, assumption, % 0.14/0.38 X17 = X9). % 0.14/0.38 cnf(c40, plain, % 0.14/0.38 ~environment(X16), % 0.14/0.38 inference(predicate_reduction, [assumptions([a32, a33, a34, a35])], [c38, c39])). % 0.14/0.38 % 0.14/0.38 cnf(c41, plain, % 0.14/0.38 environment(sk1)). % 0.14/0.38 cnf(a36, assumption, % 0.14/0.38 X16 = sk1). % 0.14/0.38 cnf(c42, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(predicate_reduction, [assumptions([a36])], [c40, c41])). % 0.14/0.38 % 0.14/0.38 cnf(c43, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(constraint_solving, [ % 0.14/0.38 bind(X0, efficient_producers), % 0.14/0.38 bind(X1, sk2), % 0.14/0.38 bind(X2, first_movers), % 0.14/0.38 bind(X3, sk1), % 0.14/0.38 bind(X4, efficient_producers), % 0.14/0.38 bind(X5, sk2), % 0.14/0.38 bind(X6, first_movers), % 0.14/0.38 bind(X7, sk1), % 0.14/0.38 bind(X8, sk1), % 0.14/0.38 bind(X9, sk2), % 0.14/0.38 bind(X10, first_movers), % 0.14/0.38 bind(X11, sk2), % 0.14/0.38 bind(X12, first_movers), % 0.14/0.38 bind(X13, sk2), % 0.14/0.38 bind(X14, efficient_producers), % 0.14/0.38 bind(X15, sk1), % 0.14/0.38 bind(X16, sk1), % 0.14/0.38 bind(X17, sk2) % 0.14/0.38 ], % 0.14/0.38 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27, a28, a29, a30, a31, a32, a33, a34, a35, a36])). % 0.14/0.38 % 0.14/0.38 % SZS output end IncompleteProof %------------------------------------------------------------------------------