%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : MGT036-3 : 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 : n012.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 0.02s 0.30s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : MGT036-3 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.02 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.02/0.29 % Computer : n012.cluster.edu % 0.02/0.29 % Model : x86_64 x86_64 % 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.02/0.29 % Memory : 8046.5625MB % 0.02/0.29 % OS : Linux 6.8.0-71-generic % 0.02/0.29 % CPULimit : 300 % 0.02/0.29 % WCLimit : 300 % 0.02/0.29 % DateTime : Mon Sep 7 12:42:26 UTC 2026 % 0.02/0.29 % CPUTime : % 0.02/0.30 % SZS status Unsatisfiable % 0.02/0.30 % SZS output begin IncompleteProof % 0.02/0.30 cnf(c0, axiom, % 0.02/0.30 ~outcompetes(first_movers,efficient_producers,X0) | ~subpopulations(first_movers,efficient_producers,X1,X0) | ~environment(X1)). % 0.02/0.30 cnf(c1, plain, % 0.02/0.30 ~outcompetes(first_movers,efficient_producers,X0) | ~subpopulations(first_movers,efficient_producers,X1,X0) | ~environment(X1), % 0.02/0.30 inference(start, [], [c0])). % 0.02/0.30 % 0.02/0.30 cnf(c2, axiom, % 0.02/0.30 outcompetes(X2,X3,X4) | ~greater(zero,growth_rate(X3,X4)) | ~greater_or_equal(growth_rate(X2,X4),zero) | ~subpopulations(X3,X2,X5,X4) | ~environment(X5)). % 0.02/0.30 cnf(a0, assumption, % 0.02/0.30 first_movers = X2). % 0.02/0.30 cnf(a1, assumption, % 0.02/0.30 efficient_producers = X3). % 0.02/0.30 cnf(a2, assumption, % 0.02/0.30 X0 = X4). % 0.02/0.30 cnf(c3, plain, % 0.02/0.30 ~subpopulations(first_movers,efficient_producers,X1,X0) | ~environment(X1), % 0.02/0.30 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.02/0.30 cnf(c4, plain, % 0.02/0.30 ~greater(zero,growth_rate(X3,X4)) | ~greater_or_equal(growth_rate(X2,X4),zero) | ~subpopulations(X3,X2,X5,X4) | ~environment(X5), % 0.02/0.30 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.02/0.30 % 0.02/0.30 cnf(c5, axiom, % 0.02/0.30 greater(zero,growth_rate(efficient_producers,sk2))). % 0.02/0.30 cnf(a3, assumption, % 0.02/0.30 zero = zero). % 0.02/0.30 cnf(a4, assumption, % 0.02/0.30 growth_rate(X3,X4) = growth_rate(efficient_producers,sk2)). % 0.02/0.30 cnf(c6, plain, % 0.02/0.30 ~greater_or_equal(growth_rate(X2,X4),zero) | ~subpopulations(X3,X2,X5,X4) | ~environment(X5), % 0.02/0.30 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 0.02/0.30 cnf(c7, plain, % 0.02/0.30 $false, % 0.02/0.30 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 0.02/0.30 % 0.02/0.30 cnf(c8, axiom, % 0.02/0.30 greater_or_equal(growth_rate(first_movers,sk2),zero)). % 0.02/0.30 cnf(a5, assumption, % 0.02/0.30 growth_rate(X2,X4) = growth_rate(first_movers,sk2)). % 0.02/0.30 cnf(a6, assumption, % 0.02/0.30 zero = zero). % 0.02/0.30 cnf(c9, plain, % 0.02/0.30 ~subpopulations(X3,X2,X5,X4) | ~environment(X5), % 0.02/0.30 inference(strict_predicate_extension, [assumptions([a5, a6])], [c6, c8])). % 0.02/0.30 cnf(c10, plain, % 0.02/0.30 $false, % 0.02/0.30 inference(strict_predicate_extension, [assumptions([a5, a6])], [c6, c8])). % 0.02/0.30 % 0.02/0.30 cnf(c11, axiom, % 0.02/0.30 subpopulations(X6,X7,X8,X9) | ~subpopulations(X7,X6,X8,X9) | ~environment(X8)). % 0.02/0.30 cnf(a7, assumption, % 0.02/0.30 X3 = X6). % 0.02/0.30 cnf(a8, assumption, % 0.02/0.30 X2 = X7). % 0.02/0.30 cnf(a9, assumption, % 0.02/0.30 X5 = X8). % 0.02/0.30 cnf(a10, assumption, % 0.02/0.30 X4 = X9). % 0.02/0.30 cnf(c12, plain, % 0.02/0.30 ~environment(X5), % 0.02/0.30 inference(strict_predicate_extension, [assumptions([a7, a8, a9, a10])], [c9, c11])). % 0.02/0.30 cnf(c13, plain, % 0.02/0.30 ~subpopulations(X7,X6,X8,X9) | ~environment(X8), % 0.02/0.30 inference(strict_predicate_extension, [assumptions([a7, a8, a9, a10])], [c9, c11])). % 0.02/0.30 % 0.02/0.30 cnf(c14, axiom, % 0.02/0.30 subpopulations(first_movers,efficient_producers,sk1,sk2)). % 0.02/0.30 cnf(a11, assumption, % 0.02/0.30 X7 = first_movers). % 0.02/0.30 cnf(a12, assumption, % 0.02/0.30 X6 = efficient_producers). % 0.02/0.30 cnf(a13, assumption, % 0.02/0.30 X8 = sk1). % 0.02/0.30 cnf(a14, assumption, % 0.02/0.30 X9 = sk2). % 0.02/0.30 cnf(c15, plain, % 0.02/0.30 ~environment(X8), % 0.02/0.30 inference(strict_predicate_extension, [assumptions([a11, a12, a13, a14])], [c13, c14])). % 0.02/0.30 cnf(c16, plain, % 0.02/0.30 $false, % 0.02/0.30 inference(strict_predicate_extension, [assumptions([a11, a12, a13, a14])], [c13, c14])). % 0.02/0.30 % 0.02/0.30 cnf(c17, axiom, % 0.02/0.30 environment(sk1)). % 0.02/0.30 cnf(a15, assumption, % 0.02/0.30 X8 = sk1). % 0.02/0.30 cnf(c18, plain, % 0.02/0.30 $false, % 0.02/0.30 inference(strict_predicate_extension, [assumptions([a15])], [c15, c17])). % 0.02/0.30 cnf(c19, plain, % 0.02/0.30 $false, % 0.02/0.30 inference(strict_predicate_extension, [assumptions([a15])], [c15, c17])). % 0.02/0.30 % 0.02/0.30 cnf(c20, plain, % 0.02/0.30 environment(X8)). % 0.02/0.30 cnf(a16, assumption, % 0.02/0.30 X5 = X8). % 0.02/0.30 cnf(c21, plain, % 0.02/0.30 $false, % 0.02/0.30 inference(predicate_reduction, [assumptions([a16])], [c12, c20])). % 0.02/0.30 % 0.02/0.30 cnf(c22, plain, % 0.02/0.30 subpopulations(X7,X6,X8,X9)). % 0.02/0.30 cnf(a17, assumption, % 0.02/0.30 first_movers = X7). % 0.02/0.30 cnf(a18, assumption, % 0.02/0.30 efficient_producers = X6). % 0.02/0.30 cnf(a19, assumption, % 0.02/0.30 X1 = X8). % 0.02/0.30 cnf(a20, assumption, % 0.02/0.30 X0 = X9). % 0.02/0.30 cnf(c23, plain, % 0.02/0.30 ~environment(X1), % 0.02/0.30 inference(predicate_reduction, [assumptions([a17, a18, a19, a20])], [c3, c22])). % 0.02/0.30 % 0.02/0.30 cnf(c24, plain, % 0.02/0.30 environment(X8)). % 0.02/0.30 cnf(a21, assumption, % 0.02/0.30 X1 = X8). % 0.02/0.30 cnf(c25, plain, % 0.02/0.30 $false, % 0.02/0.30 inference(predicate_reduction, [assumptions([a21])], [c23, c24])). % 0.02/0.30 % 0.02/0.30 cnf(c26, plain, % 0.02/0.30 $false, % 0.02/0.30 inference(constraint_solving, [ % 0.02/0.30 bind(X0, sk2), % 0.02/0.30 bind(X1, sk1), % 0.02/0.30 bind(X2, first_movers), % 0.02/0.30 bind(X3, efficient_producers), % 0.02/0.30 bind(X4, sk2), % 0.02/0.30 bind(X5, sk1), % 0.02/0.30 bind(X6, efficient_producers), % 0.02/0.30 bind(X7, first_movers), % 0.02/0.30 bind(X8, sk1), % 0.02/0.30 bind(X9, sk2) % 0.02/0.30 ], % 0.02/0.30 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21])). % 0.02/0.30 % 0.02/0.30 % SZS output end IncompleteProof %------------------------------------------------------------------------------