%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : MGT023-1 : 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 : n002.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 06:13:16 AM UTC 2026 % Result : Unsatisfiable 112.19s 14.67s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT023-1 : 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 % 0.11/0.36 % Computer : n002.cluster.edu % 0.11/0.36 % Model : x86_64 x86_64 % 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.36 % Memory : 8046.5625MB % 0.11/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Mon Sep 7 12:09:07 UTC 2026 % 0.11/0.37 % CPUTime : % 112.19/14.67 % SZS status Unsatisfiable % 112.19/14.67 % SZS output begin IncompleteProof % 112.19/14.67 cnf(c0, axiom, % 112.19/14.67 environment(sk3)). % 112.19/14.67 cnf(c1, plain, % 112.19/14.67 environment(sk3), % 112.19/14.67 inference(start, [], [c0])). % 112.19/14.67 % 112.19/14.67 cnf(c2, axiom, % 112.19/14.67 in_environment(X0,sk2(X0)) | ~stable(X0) | ~environment(X0)). % 112.19/14.67 cnf(a0, assumption, % 112.19/14.67 sk3 = X0). % 112.19/14.67 cnf(c3, plain, % 112.19/14.67 $false, % 112.19/14.67 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 112.19/14.67 cnf(c4, plain, % 112.19/14.67 in_environment(X0,sk2(X0)) | ~stable(X0), % 112.19/14.67 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 112.19/14.67 % 112.19/14.67 cnf(c5, axiom, % 112.19/14.67 critical_point(X1) = X2 | subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1)) | ~in_environment(X1,X2) | greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) | ~environment(X1)). % 112.19/14.67 cnf(a1, assumption, % 112.19/14.67 X0 = X1). % 112.19/14.67 cnf(a2, assumption, % 112.19/14.67 sk2(X0) = X2). % 112.19/14.67 cnf(c6, plain, % 112.19/14.67 ~stable(X0), % 112.19/14.67 inference(strict_predicate_extension, [assumptions([a1, a2])], [c4, c5])). % 112.19/14.67 cnf(c7, plain, % 112.19/14.67 critical_point(X1) = X2 | subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1)) | greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) | ~environment(X1), % 112.19/14.67 inference(strict_predicate_extension, [assumptions([a1, a2])], [c4, c5])). % 112.19/14.67 % 112.19/14.67 cnf(c8, plain, % 112.19/14.67 in_environment(X0,sk2(X0))). % 112.19/14.67 cnf(a3, assumption, % 112.19/14.67 sk2(X0) = X2). % 112.19/14.67 cnf(a4, assumption, % 112.19/14.67 critical_point(X1) = X3). % 112.19/14.67 cnf(c9, plain, % 112.19/14.67 subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1)) | greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) | ~environment(X1), % 112.19/14.67 inference(subterm_reduction, [assumptions([a3, a4])], [c7, c8])). % 112.19/14.67 cnf(c10, plain, % 112.19/14.67 in_environment(X0,X3), % 112.19/14.67 inference(subterm_reduction, [assumptions([a3, a4])], [c7, c8])). % 112.19/14.67 % 112.19/14.67 cnf(c11, axiom, % 112.19/14.67 ~in_environment(sk3,critical_point(sk3))). % 112.19/14.67 cnf(a5, assumption, % 112.19/14.67 X0 = sk3). % 112.19/14.67 cnf(a6, assumption, % 112.19/14.67 X3 = critical_point(sk3)). % 112.19/14.67 cnf(c12, plain, % 112.19/14.67 $false, % 112.19/14.67 inference(strict_predicate_extension, [assumptions([a5, a6])], [c10, c11])). % 112.19/14.67 cnf(c13, plain, % 112.19/14.67 $false, % 112.19/14.67 inference(strict_predicate_extension, [assumptions([a5, a6])], [c10, c11])). % 112.19/14.67 % 112.19/14.67 cnf(c14, axiom, % 112.19/14.67 greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4)) | ~greater(X4,sk2(X5)) | ~subpopulations(first_movers,efficient_producers,X5,X4) | ~stable(X5) | ~environment(X5)). % 112.19/14.67 cnf(a7, assumption, % 112.19/14.67 first_movers = first_movers). % 112.19/14.67 cnf(a8, assumption, % 112.19/14.67 efficient_producers = efficient_producers). % 112.19/14.67 cnf(a9, assumption, % 112.19/14.67 X1 = X5). % 112.19/14.67 cnf(a10, assumption, % 112.19/14.67 sk1(X2,X1) = X4). % 112.19/14.67 cnf(c15, plain, % 112.19/14.67 greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) | ~environment(X1), % 112.19/14.67 inference(strict_predicate_extension, [assumptions([a7, a8, a9, a10])], [c9, c14])). % 112.19/14.67 cnf(c16, plain, % 112.19/14.67 greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4)) | ~greater(X4,sk2(X5)) | ~stable(X5) | ~environment(X5), % 112.19/14.67 inference(strict_predicate_extension, [assumptions([a7, a8, a9, a10])], [c9, c14])). % 112.19/14.67 % 112.19/14.67 cnf(c17, axiom, % 112.19/14.67 critical_point(X6) = X7 | ~greater(growth_rate(efficient_producers,sk1(X7,X6)),growth_rate(first_movers,sk1(X7,X6))) | ~in_environment(X6,X7) | greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7)) | ~environment(X6)). % 112.19/14.67 cnf(a11, assumption, % 112.19/14.67 growth_rate(efficient_producers,X4) = growth_rate(efficient_producers,sk1(X7,X6))). % 112.19/14.67 cnf(a12, assumption, % 112.19/14.67 growth_rate(first_movers,X4) = growth_rate(first_movers,sk1(X7,X6))). % 112.19/14.67 cnf(c18, plain, % 112.19/14.67 ~greater(X4,sk2(X5)) | ~stable(X5) | ~environment(X5), % 112.19/14.67 inference(strict_predicate_extension, [assumptions([a11, a12])], [c16, c17])). % 112.19/14.67 cnf(c19, plain, % 112.19/14.67 critical_point(X6) = X7 | ~in_environment(X6,X7) | greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7)) | ~environment(X6), % 112.19/14.67 inference(strict_predicate_extension, [assumptions([a11, a12])], [c16, c17])). % 112.19/14.67 % 112.19/14.67 cnf(c20, plain, % 112.19/14.67 in_environment(X0,sk2(X0))). % 112.19/14.67 cnf(a13, assumption, % 112.19/14.67 sk2(X0) = X7). % 112.19/14.67 cnf(a14, assumption, % 112.19/14.67 critical_point(X6) = X8). % 112.19/14.67 cnf(c21, plain, % 112.19/14.67 ~in_environment(X6,X7) | greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7)) | ~environment(X6), % 112.19/14.67 inference(subterm_reduction, [assumptions([a13, a14])], [c19, c20])). % 112.19/14.67 cnf(c22, plain, % 112.19/14.67 in_environment(X0,X8), % 112.19/14.67 inference(subterm_reduction, [assumptions([a13, a14])], [c19, c20])). % 112.19/14.67 % 112.19/14.67 cnf(c23, plain, % 112.19/14.67 ~in_environment(X0,X3)). % 112.19/14.67 cnf(a15, assumption, % 112.19/14.67 X0 = X0). % 112.19/14.67 cnf(a16, assumption, % 112.19/14.67 X8 = X3). % 112.19/14.67 cnf(c24, plain, % 112.19/14.67 $false, % 112.19/14.67 inference(predicate_reduction, [assumptions([a15, a16])], [c22, c23])). % 112.19/14.67 % 112.19/14.67 cnf(c25, plain, % 112.19/14.67 in_environment(X0,sk2(X0))). % 112.19/14.67 cnf(a17, assumption, % 112.19/14.67 X6 = X0). % 112.19/14.67 cnf(a18, assumption, % 112.19/14.67 X7 = sk2(X0)). % 112.19/14.67 cnf(c26, plain, % 112.19/14.67 greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7)) | ~environment(X6), % 112.19/14.67 inference(predicate_reduction, [assumptions([a17, a18])], [c21, c25])). % 112.19/14.67 % 112.19/14.67 cnf(c27, axiom, % 112.19/14.67 ~greater(growth_rate(efficient_producers,sk2(X9)),growth_rate(first_movers,sk2(X9))) | ~stable(X9) | ~environment(X9)). % 112.19/14.67 cnf(a19, assumption, % 112.19/14.67 growth_rate(efficient_producers,X7) = growth_rate(efficient_producers,sk2(X9))). % 112.19/14.67 cnf(a20, assumption, % 112.19/14.67 growth_rate(first_movers,X7) = growth_rate(first_movers,sk2(X9))). % 112.19/14.67 cnf(c28, plain, % 112.19/14.67 ~environment(X6), % 112.19/14.67 inference(strict_predicate_extension, [assumptions([a19, a20])], [c26, c27])). % 112.19/14.67 cnf(c29, plain, % 112.19/14.67 ~stable(X9) | ~environment(X9), % 112.19/14.67 inference(strict_predicate_extension, [assumptions([a19, a20])], [c26, c27])). % 112.19/14.67 % 112.19/14.67 cnf(c30, axiom, % 112.19/14.67 stable(sk3)). % 112.19/14.67 cnf(a21, assumption, % 112.19/14.67 X9 = sk3). % 112.19/14.67 cnf(c31, plain, % 112.19/14.67 ~environment(X9), % 112.19/14.67 inference(strict_predicate_extension, [assumptions([a21])], [c29, c30])). % 112.19/14.67 cnf(c32, plain, % 112.19/14.67 $false, % 112.19/14.67 inference(strict_predicate_extension, [assumptions([a21])], [c29, c30])). % 112.19/14.67 % 112.19/14.67 cnf(c33, plain, % 112.19/14.67 environment(sk3)). % 112.19/14.67 cnf(a22, assumption, % 112.19/14.67 X9 = sk3). % 112.19/14.67 cnf(c34, plain, % 112.19/14.67 $false, % 112.19/14.67 inference(predicate_reduction, [assumptions([a22])], [c31, c33])). % 112.19/14.67 % 112.19/14.67 cnf(c35, plain, % 112.19/14.67 environment(sk3)). % 112.19/14.67 cnf(a23, assumption, % 112.19/14.67 X6 = sk3). % 112.19/14.67 cnf(c36, plain, % 112.19/14.67 $false, % 112.19/14.67 inference(predicate_reduction, [assumptions([a23])], [c28, c35])). % 112.19/14.67 % 112.19/14.67 cnf(c37, axiom, % 112.19/14.67 critical_point(X10) = X11 | greater(sk1(X11,X10),X11) | ~in_environment(X10,X11) | greater(growth_rate(efficient_producers,X11),growth_rate(first_movers,X11)) | ~environment(X10)). % 112.19/14.67 cnf(a24, assumption, % 112.19/14.67 X4 = sk1(X11,X10)). % 112.19/14.67 cnf(a25, assumption, % 112.19/14.67 sk2(X5) = X11). % 112.19/14.67 cnf(c38, plain, % 112.19/14.67 ~stable(X5) | ~environment(X5), % 112.19/14.67 inference(strict_predicate_extension, [assumptions([a24, a25])], [c18, c37])). % 112.19/14.67 cnf(c39, plain, % 112.19/14.67 critical_point(X10) = X11 | ~in_environment(X10,X11) | greater(growth_rate(efficient_producers,X11),growth_rate(first_movers,X11)) | ~environment(X10), % 112.19/14.67 inference(strict_predicate_extension, [assumptions([a24, a25])], [c18, c37])). % 112.19/14.67 % 112.19/14.67 cnf(c40, plain, % 112.19/14.67 in_environment(X0,sk2(X0))). % 112.19/14.67 cnf(a26, assumption, % 112.19/14.67 sk2(X0) = X11). % 112.19/14.67 cnf(a27, assumption, % 112.19/14.67 critical_point(X10) = X12). % 112.19/14.67 cnf(c41, plain, % 112.19/14.67 ~in_environment(X10,X11) | greater(growth_rate(efficient_producers,X11),growth_rate(first_movers,X11)) | ~environment(X10), % 112.19/14.67 inference(subterm_reduction, [assumptions([a26, a27])], [c39, c40])). % 112.19/14.67 cnf(c42, plain, % 112.19/14.67 in_environment(X0,X12), % 112.19/14.67 inference(subterm_reduction, [assumptions([a26, a27])], [c39, c40])). % 112.19/14.67 % 112.19/14.67 cnf(c43, plain, % 112.19/14.67 ~in_environment(X0,X3)). % 112.19/14.67 cnf(a28, assumption, % 112.19/14.67 X0 = X0). % 112.19/14.67 cnf(a29, assumption, % 112.19/14.67 X12 = X3). % 112.19/14.67 cnf(c44, plain, % 112.19/14.67 $false, % 112.19/14.67 inference(predicate_reduction, [assumptions([a28, a29])], [c42, c43])). % 112.19/14.67 % 112.19/14.67 cnf(c45, plain, % 112.19/14.67 in_environment(X0,sk2(X0))). % 112.19/14.67 cnf(a30, assumption, % 112.19/14.67 X10 = X0). % 112.19/14.67 cnf(a31, assumption, % 112.19/14.67 X11 = sk2(X0)). % 112.19/14.67 cnf(c46, plain, % 112.19/14.67 greater(growth_rate(efficient_producers,X11),growth_rate(first_movers,X11)) | ~environment(X10), % 112.19/14.67 inference(predicate_reduction, [assumptions([a30, a31])], [c41, c45])). % 112.19/14.67 % 112.19/14.67 cnf(c47, plain, % 112.19/14.67 ~greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7))). % 112.19/14.67 cnf(a32, assumption, % 112.19/14.67 growth_rate(efficient_producers,X11) = growth_rate(efficient_producers,X7)). % 112.19/14.67 cnf(a33, assumption, % 112.19/14.67 growth_rate(first_movers,X11) = growth_rate(first_movers,X7)). % 112.19/14.67 cnf(c48, plain, % 112.19/14.67 ~environment(X10), % 112.19/14.67 inference(predicate_reduction, [assumptions([a32, a33])], [c46, c47])). % 112.19/14.67 % 112.19/14.67 cnf(c49, plain, % 112.19/14.67 environment(sk3)). % 112.19/14.67 cnf(a34, assumption, % 112.19/14.67 X10 = sk3). % 112.19/14.67 cnf(c50, plain, % 112.19/14.67 $false, % 112.19/14.67 inference(predicate_reduction, [assumptions([a34])], [c48, c49])). % 112.19/14.67 % 112.19/14.67 cnf(c51, plain, % 112.19/14.67 stable(X9)). % 112.19/14.67 cnf(a35, assumption, % 112.19/14.67 X5 = X9). % 112.19/14.67 cnf(c52, plain, % 112.19/14.67 ~environment(X5), % 112.19/14.67 inference(predicate_reduction, [assumptions([a35])], [c38, c51])). % 112.19/14.67 % 112.19/14.67 cnf(c53, plain, % 112.19/14.67 environment(sk3)). % 112.19/14.67 cnf(a36, assumption, % 112.19/14.67 X5 = sk3). % 112.19/14.67 cnf(c54, plain, % 112.19/14.67 $false, % 112.19/14.67 inference(predicate_reduction, [assumptions([a36])], [c52, c53])). % 112.19/14.67 % 112.19/14.67 cnf(c55, plain, % 112.19/14.67 ~greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7))). % 112.19/14.67 cnf(a37, assumption, % 112.19/14.67 growth_rate(efficient_producers,X2) = growth_rate(efficient_producers,X7)). % 112.19/14.67 cnf(a38, assumption, % 112.19/14.67 growth_rate(first_movers,X2) = growth_rate(first_movers,X7)). % 112.19/14.67 cnf(c56, plain, % 112.19/14.67 ~environment(X1), % 112.19/14.67 inference(predicate_reduction, [assumptions([a37, a38])], [c15, c55])). % 112.19/14.67 % 112.19/14.67 cnf(c57, plain, % 112.19/14.67 environment(sk3)). % 112.19/14.67 cnf(a39, assumption, % 112.19/14.67 X1 = sk3). % 112.19/14.67 cnf(c58, plain, % 112.19/14.67 $false, % 112.19/14.67 inference(predicate_reduction, [assumptions([a39])], [c56, c57])). % 112.19/14.67 % 112.19/14.67 cnf(c59, plain, % 112.19/14.67 stable(X9)). % 112.19/14.67 cnf(a40, assumption, % 112.19/14.67 X0 = X9). % 112.19/14.67 cnf(c60, plain, % 112.19/14.67 $false, % 112.19/14.67 inference(predicate_reduction, [assumptions([a40])], [c6, c59])). % 112.19/14.67 % 112.19/14.67 cnf(c61, plain, % 112.19/14.67 $false, % 112.19/14.67 inference(constraint_solving, [ % 112.19/14.67 bind(X0, sk3), % 112.19/14.67 bind(X1, sk3), % 112.19/14.67 bind(X2, sk2(X0)), % 112.19/14.67 bind(X3, critical_point(X1)), % 112.19/14.67 bind(X4, sk1(X2,X1)), % 112.19/14.67 bind(X5, sk3), % 112.19/14.67 bind(X6, sk3), % 112.19/14.67 bind(X7, sk2(X0)), % 112.19/14.67 bind(X8, critical_point(X6)), % 112.19/14.67 bind(X9, sk3), % 112.19/14.67 bind(X10, sk3), % 112.19/14.67 bind(X11, sk2(X0)), % 112.19/14.67 bind(X12, critical_point(X10)) % 112.19/14.67 ], % 112.19/14.67 [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, a37, a38, a39, a40])). % 112.19/14.67 % 112.19/14.67 % SZS output end IncompleteProof %------------------------------------------------------------------------------