%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : MGT032-2 : 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 : n003.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 06:13:17 AM UTC 2026 % Result : Unsatisfiable 0.11s 0.38s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT032-2 : 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 % 0.11/0.37 % Computer : n003.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 : Mon Sep 7 12:24:09 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.38 % SZS status Unsatisfiable % 0.11/0.38 % SZS output begin IncompleteProof % 0.11/0.38 cnf(c0, axiom, % 0.11/0.38 stable(sk2)). % 0.11/0.38 cnf(c1, plain, % 0.11/0.38 stable(sk2), % 0.11/0.38 inference(start, [], [c0])). % 0.11/0.38 % 0.11/0.38 cnf(c2, axiom, % 0.11/0.38 in_environment(X0,sk1(X0)) | ~stable(X0) | ~environment(X0)). % 0.11/0.38 cnf(a0, assumption, % 0.11/0.38 sk2 = X0). % 0.11/0.38 cnf(c3, plain, % 0.11/0.38 $false, % 0.11/0.38 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.11/0.38 cnf(c4, plain, % 0.11/0.38 in_environment(X0,sk1(X0)) | ~environment(X0), % 0.11/0.38 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.11/0.38 % 0.11/0.38 cnf(c5, axiom, % 0.11/0.38 subpopulations(first_movers,efficient_producers,sk2,sk3(X1)) | ~in_environment(sk2,X1)). % 0.11/0.38 cnf(a1, assumption, % 0.11/0.38 X0 = sk2). % 0.11/0.38 cnf(a2, assumption, % 0.11/0.38 sk1(X0) = X1). % 0.11/0.38 cnf(c6, plain, % 0.11/0.38 ~environment(X0), % 0.11/0.38 inference(strict_predicate_extension, [assumptions([a1, a2])], [c4, c5])). % 0.11/0.38 cnf(c7, plain, % 0.11/0.38 subpopulations(first_movers,efficient_producers,sk2,sk3(X1)), % 0.11/0.38 inference(strict_predicate_extension, [assumptions([a1, a2])], [c4, c5])). % 0.11/0.38 % 0.11/0.38 cnf(c8, axiom, % 0.11/0.38 greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) | ~greater_or_equal(X2,sk1(X3)) | ~subpopulations(first_movers,efficient_producers,X3,X2) | ~stable(X3) | ~environment(X3)). % 0.11/0.38 cnf(a3, assumption, % 0.11/0.38 first_movers = first_movers). % 0.11/0.38 cnf(a4, assumption, % 0.11/0.38 efficient_producers = efficient_producers). % 0.11/0.38 cnf(a5, assumption, % 0.11/0.38 sk2 = X3). % 0.11/0.38 cnf(a6, assumption, % 0.11/0.38 sk3(X1) = X2). % 0.11/0.38 cnf(c9, plain, % 0.11/0.38 $false, % 0.11/0.38 inference(strict_predicate_extension, [assumptions([a3, a4, a5, a6])], [c7, c8])). % 0.11/0.38 cnf(c10, plain, % 0.11/0.38 greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) | ~greater_or_equal(X2,sk1(X3)) | ~stable(X3) | ~environment(X3), % 0.11/0.38 inference(strict_predicate_extension, [assumptions([a3, a4, a5, a6])], [c7, c8])). % 0.11/0.38 % 0.11/0.38 cnf(c11, axiom, % 0.11/0.38 selection_favors(X4,X5,X6) | ~greater(growth_rate(X4,X6),growth_rate(X5,X6)) | ~subpopulations(X5,X4,X7,X6) | ~environment(X7)). % 0.11/0.38 cnf(a7, assumption, % 0.11/0.38 growth_rate(efficient_producers,X2) = growth_rate(X4,X6)). % 0.11/0.38 cnf(a8, assumption, % 0.11/0.38 growth_rate(first_movers,X2) = growth_rate(X5,X6)). % 0.11/0.38 cnf(c12, plain, % 0.11/0.38 ~greater_or_equal(X2,sk1(X3)) | ~stable(X3) | ~environment(X3), % 0.11/0.38 inference(strict_predicate_extension, [assumptions([a7, a8])], [c10, c11])). % 0.11/0.38 cnf(c13, plain, % 0.11/0.38 selection_favors(X4,X5,X6) | ~subpopulations(X5,X4,X7,X6) | ~environment(X7), % 0.11/0.38 inference(strict_predicate_extension, [assumptions([a7, a8])], [c10, c11])). % 0.11/0.38 % 0.11/0.38 cnf(c14, axiom, % 0.11/0.38 ~selection_favors(efficient_producers,first_movers,sk3(X8)) | ~in_environment(sk2,X8)). % 0.11/0.38 cnf(a9, assumption, % 0.11/0.38 X4 = efficient_producers). % 0.11/0.38 cnf(a10, assumption, % 0.11/0.38 X5 = first_movers). % 0.11/0.38 cnf(a11, assumption, % 0.11/0.38 X6 = sk3(X8)). % 0.11/0.38 cnf(c15, plain, % 0.11/0.38 ~subpopulations(X5,X4,X7,X6) | ~environment(X7), % 0.11/0.38 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c13, c14])). % 0.11/0.38 cnf(c16, plain, % 0.11/0.38 ~in_environment(sk2,X8), % 0.11/0.38 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c13, c14])). % 0.11/0.38 % 0.11/0.38 cnf(c17, plain, % 0.11/0.38 in_environment(X0,sk1(X0))). % 0.11/0.38 cnf(a12, assumption, % 0.11/0.38 sk2 = X0). % 0.11/0.38 cnf(a13, assumption, % 0.11/0.38 X8 = sk1(X0)). % 0.11/0.38 cnf(c18, plain, % 0.11/0.38 $false, % 0.11/0.38 inference(predicate_reduction, [assumptions([a12, a13])], [c16, c17])). % 0.11/0.38 % 0.11/0.38 cnf(c19, plain, % 0.11/0.38 subpopulations(first_movers,efficient_producers,sk2,sk3(X1))). % 0.11/0.38 cnf(a14, assumption, % 0.11/0.38 X5 = first_movers). % 0.11/0.38 cnf(a15, assumption, % 0.11/0.38 X4 = efficient_producers). % 0.11/0.38 cnf(a16, assumption, % 0.11/0.38 X7 = sk2). % 0.11/0.38 cnf(a17, assumption, % 0.11/0.38 X6 = sk3(X1)). % 0.11/0.38 cnf(c20, plain, % 0.11/0.38 ~environment(X7), % 0.11/0.38 inference(predicate_reduction, [assumptions([a14, a15, a16, a17])], [c15, c19])). % 0.11/0.38 % 0.11/0.38 cnf(c21, axiom, % 0.11/0.38 environment(sk2)). % 0.11/0.38 cnf(a18, assumption, % 0.11/0.38 X7 = sk2). % 0.11/0.38 cnf(c22, plain, % 0.11/0.38 $false, % 0.11/0.38 inference(strict_predicate_extension, [assumptions([a18])], [c20, c21])). % 0.11/0.38 cnf(c23, plain, % 0.11/0.38 $false, % 0.11/0.38 inference(strict_predicate_extension, [assumptions([a18])], [c20, c21])). % 0.11/0.38 % 0.11/0.38 cnf(c24, axiom, % 0.11/0.38 greater_or_equal(sk3(X9),X9) | ~in_environment(sk2,X9)). % 0.11/0.38 cnf(a19, assumption, % 0.11/0.38 X2 = sk3(X9)). % 0.11/0.38 cnf(a20, assumption, % 0.11/0.38 sk1(X3) = X9). % 0.11/0.38 cnf(c25, plain, % 0.11/0.38 ~stable(X3) | ~environment(X3), % 0.11/0.38 inference(strict_predicate_extension, [assumptions([a19, a20])], [c12, c24])). % 0.11/0.38 cnf(c26, plain, % 0.11/0.38 ~in_environment(sk2,X9), % 0.11/0.38 inference(strict_predicate_extension, [assumptions([a19, a20])], [c12, c24])). % 0.11/0.38 % 0.11/0.38 cnf(c27, plain, % 0.11/0.38 in_environment(X0,sk1(X0))). % 0.11/0.38 cnf(a21, assumption, % 0.11/0.38 sk2 = X0). % 0.11/0.38 cnf(a22, assumption, % 0.11/0.38 X9 = sk1(X0)). % 0.11/0.38 cnf(c28, plain, % 0.11/0.38 $false, % 0.11/0.38 inference(predicate_reduction, [assumptions([a21, a22])], [c26, c27])). % 0.11/0.38 % 0.11/0.38 cnf(c29, plain, % 0.11/0.38 stable(sk2)). % 0.11/0.38 cnf(a23, assumption, % 0.11/0.38 X3 = sk2). % 0.11/0.38 cnf(c30, plain, % 0.11/0.38 ~environment(X3), % 0.11/0.38 inference(predicate_reduction, [assumptions([a23])], [c25, c29])). % 0.11/0.38 % 0.11/0.38 cnf(c31, plain, % 0.11/0.38 environment(X7)). % 0.11/0.38 cnf(a24, assumption, % 0.11/0.38 X3 = X7). % 0.11/0.38 cnf(c32, plain, % 0.11/0.38 $false, % 0.11/0.38 inference(predicate_reduction, [assumptions([a24])], [c30, c31])). % 0.11/0.38 % 0.11/0.38 cnf(c33, plain, % 0.11/0.38 environment(X7)). % 0.11/0.38 cnf(a25, assumption, % 0.11/0.38 X0 = X7). % 0.11/0.38 cnf(c34, plain, % 0.11/0.38 $false, % 0.11/0.38 inference(predicate_reduction, [assumptions([a25])], [c6, c33])). % 0.11/0.38 % 0.11/0.38 cnf(c35, plain, % 0.11/0.38 $false, % 0.11/0.38 inference(constraint_solving, [ % 0.11/0.38 bind(X0, sk2), % 0.11/0.38 bind(X1, sk1(X0)), % 0.11/0.38 bind(X2, sk3(X1)), % 0.11/0.38 bind(X3, sk2), % 0.11/0.38 bind(X4, efficient_producers), % 0.11/0.38 bind(X5, first_movers), % 0.11/0.38 bind(X6, sk3(X1)), % 0.11/0.38 bind(X7, sk2), % 0.11/0.38 bind(X8, sk1(X0)), % 0.11/0.38 bind(X9, sk1(X0)) % 0.11/0.38 ], % 0.11/0.38 [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])). % 0.11/0.38 % 0.11/0.38 % SZS output end IncompleteProof %------------------------------------------------------------------------------