%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : MGT023+2 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n031.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 : Theorem 24.06s 3.45s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT023+2 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.04 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.09/0.35 % Computer : n031.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Mon Sep 7 12:09:56 UTC 2026 % 0.09/0.36 % CPUTime : % 24.06/3.45 % SZS status Theorem % 24.06/3.45 % SZS output begin IncompleteProof % 24.06/3.45 cnf(c0, axiom, % 24.06/3.45 environment(sK7)). % 24.06/3.45 cnf(c1, plain, % 24.06/3.45 environment(sK7), % 24.06/3.45 inference(start, [], [c0])). % 24.06/3.45 % 24.06/3.45 cnf(c2, axiom, % 24.06/3.45 sP1(X0) | sP0(X1,X0) | ~in_environment(X0,X1) | ~environment(X0)). % 24.06/3.45 cnf(a0, assumption, % 24.06/3.45 sK7 = X0). % 24.06/3.45 cnf(c3, plain, % 24.06/3.45 $false, % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 24.06/3.45 cnf(c4, plain, % 24.06/3.45 sP1(X0) | sP0(X1,X0) | ~in_environment(X0,X1), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 24.06/3.45 % 24.06/3.45 cnf(c5, axiom, % 24.06/3.45 in_environment(X2,sK3(X2)) | ~sP1(X2)). % 24.06/3.45 cnf(a1, assumption, % 24.06/3.45 X0 = X2). % 24.06/3.45 cnf(c6, plain, % 24.06/3.45 sP0(X1,X0) | ~in_environment(X0,X1), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 24.06/3.45 cnf(c7, plain, % 24.06/3.45 in_environment(X2,sK3(X2)), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 24.06/3.45 % 24.06/3.45 cnf(c8, axiom, % 24.06/3.45 critical_point(X3) = X4 | sP2(X4,X3) | ~in_environment(X3,X4) | greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4)) | ~environment(X3)). % 24.06/3.45 cnf(a2, assumption, % 24.06/3.45 X2 = X3). % 24.06/3.45 cnf(a3, assumption, % 24.06/3.45 sK3(X2) = X4). % 24.06/3.45 cnf(c9, plain, % 24.06/3.45 $false, % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a2, a3])], [c7, c8])). % 24.06/3.45 cnf(c10, plain, % 24.06/3.45 critical_point(X3) = X4 | sP2(X4,X3) | greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4)) | ~environment(X3), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a2, a3])], [c7, c8])). % 24.06/3.45 % 24.06/3.45 cnf(c11, axiom, % 24.06/3.45 ~in_environment(sK7,critical_point(sK7))). % 24.06/3.45 cnf(a4, assumption, % 24.06/3.45 critical_point(sK7) = critical_point(X3)). % 24.06/3.45 cnf(c12, plain, % 24.06/3.45 sP2(X4,X3) | greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4)) | ~environment(X3), % 24.06/3.45 inference(strict_subterm_extension, [assumptions([a4])], [c10, c11])). % 24.06/3.45 cnf(c13, plain, % 24.06/3.45 $false, % 24.06/3.45 inference(strict_subterm_extension, [assumptions([a4])], [c10, c11])). % 24.06/3.45 cnf(c14, plain, % 24.06/3.45 ~in_environment(sK7,X4), % 24.06/3.45 inference(strict_subterm_extension, [assumptions([a4])], [c10, c11])). % 24.06/3.45 % 24.06/3.45 cnf(c15, plain, % 24.06/3.45 in_environment(X2,sK3(X2))). % 24.06/3.45 cnf(a5, assumption, % 24.06/3.45 sK7 = X2). % 24.06/3.45 cnf(a6, assumption, % 24.06/3.45 X4 = sK3(X2)). % 24.06/3.45 cnf(c16, plain, % 24.06/3.45 $false, % 24.06/3.45 inference(predicate_reduction, [assumptions([a5, a6])], [c14, c15])). % 24.06/3.45 % 24.06/3.45 cnf(c17, axiom, % 24.06/3.45 ~greater(growth_rate(efficient_producers,sK5(X5,X6)),growth_rate(first_movers,sK5(X5,X6))) | ~sP2(X5,X6)). % 24.06/3.45 cnf(a7, assumption, % 24.06/3.45 X4 = X5). % 24.06/3.45 cnf(a8, assumption, % 24.06/3.45 X3 = X6). % 24.06/3.45 cnf(c18, plain, % 24.06/3.45 greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4)) | ~environment(X3), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a7, a8])], [c12, c17])). % 24.06/3.45 cnf(c19, plain, % 24.06/3.45 ~greater(growth_rate(efficient_producers,sK5(X5,X6)),growth_rate(first_movers,sK5(X5,X6))), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a7, a8])], [c12, c17])). % 24.06/3.45 % 24.06/3.45 cnf(c20, axiom, % 24.06/3.45 greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7)) | ~greater(X7,sK3(X8)) | ~subpopulations(first_movers,efficient_producers,X8,X7) | ~sP1(X8)). % 24.06/3.45 cnf(a9, assumption, % 24.06/3.45 growth_rate(efficient_producers,sK5(X5,X6)) = growth_rate(efficient_producers,X7)). % 24.06/3.45 cnf(a10, assumption, % 24.06/3.45 growth_rate(first_movers,sK5(X5,X6)) = growth_rate(first_movers,X7)). % 24.06/3.45 cnf(c21, plain, % 24.06/3.45 $false, % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a9, a10])], [c19, c20])). % 24.06/3.45 cnf(c22, plain, % 24.06/3.45 ~greater(X7,sK3(X8)) | ~subpopulations(first_movers,efficient_producers,X8,X7) | ~sP1(X8), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a9, a10])], [c19, c20])). % 24.06/3.45 % 24.06/3.45 cnf(c23, axiom, % 24.06/3.45 greater(sK5(X9,X10),X9) | ~sP2(X9,X10)). % 24.06/3.45 cnf(a11, assumption, % 24.06/3.45 X7 = sK5(X9,X10)). % 24.06/3.45 cnf(a12, assumption, % 24.06/3.45 sK3(X8) = X9). % 24.06/3.45 cnf(c24, plain, % 24.06/3.45 ~subpopulations(first_movers,efficient_producers,X8,X7) | ~sP1(X8), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a11, a12])], [c22, c23])). % 24.06/3.45 cnf(c25, plain, % 24.06/3.45 ~sP2(X9,X10), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a11, a12])], [c22, c23])). % 24.06/3.45 % 24.06/3.45 cnf(c26, plain, % 24.06/3.45 sP2(X4,X3)). % 24.06/3.45 cnf(a13, assumption, % 24.06/3.45 X9 = X4). % 24.06/3.45 cnf(a14, assumption, % 24.06/3.45 X10 = X3). % 24.06/3.45 cnf(c27, plain, % 24.06/3.45 $false, % 24.06/3.45 inference(predicate_reduction, [assumptions([a13, a14])], [c25, c26])). % 24.06/3.45 % 24.06/3.45 cnf(c28, axiom, % 24.06/3.45 subpopulations(first_movers,efficient_producers,X11,sK5(X12,X11)) | ~sP2(X12,X11)). % 24.06/3.45 cnf(a15, assumption, % 24.06/3.45 first_movers = first_movers). % 24.06/3.45 cnf(a16, assumption, % 24.06/3.45 efficient_producers = efficient_producers). % 24.06/3.45 cnf(a17, assumption, % 24.06/3.45 X8 = X11). % 24.06/3.45 cnf(a18, assumption, % 24.06/3.45 X7 = sK5(X12,X11)). % 24.06/3.45 cnf(c29, plain, % 24.06/3.45 ~sP1(X8), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a15, a16, a17, a18])], [c24, c28])). % 24.06/3.45 cnf(c30, plain, % 24.06/3.45 ~sP2(X12,X11), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a15, a16, a17, a18])], [c24, c28])). % 24.06/3.45 % 24.06/3.45 cnf(c31, plain, % 24.06/3.45 sP2(X4,X3)). % 24.06/3.45 cnf(a19, assumption, % 24.06/3.45 X12 = X4). % 24.06/3.45 cnf(a20, assumption, % 24.06/3.45 X11 = X3). % 24.06/3.45 cnf(c32, plain, % 24.06/3.45 $false, % 24.06/3.45 inference(predicate_reduction, [assumptions([a19, a20])], [c30, c31])). % 24.06/3.45 % 24.06/3.45 cnf(c33, plain, % 24.06/3.45 sP1(X0)). % 24.06/3.45 cnf(a21, assumption, % 24.06/3.45 X8 = X0). % 24.06/3.45 cnf(c34, plain, % 24.06/3.45 $false, % 24.06/3.45 inference(predicate_reduction, [assumptions([a21])], [c29, c33])). % 24.06/3.45 % 24.06/3.45 cnf(c35, axiom, % 24.06/3.45 ~greater(growth_rate(efficient_producers,sK3(X13)),growth_rate(first_movers,sK3(X13))) | ~sP1(X13)). % 24.06/3.45 cnf(a22, assumption, % 24.06/3.45 growth_rate(efficient_producers,X4) = growth_rate(efficient_producers,sK3(X13))). % 24.06/3.45 cnf(a23, assumption, % 24.06/3.45 growth_rate(first_movers,X4) = growth_rate(first_movers,sK3(X13))). % 24.06/3.45 cnf(c36, plain, % 24.06/3.45 ~environment(X3), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a22, a23])], [c18, c35])). % 24.06/3.45 cnf(c37, plain, % 24.06/3.45 ~sP1(X13), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a22, a23])], [c18, c35])). % 24.06/3.45 % 24.06/3.45 cnf(c38, plain, % 24.06/3.45 sP1(X0)). % 24.06/3.45 cnf(a24, assumption, % 24.06/3.45 X13 = X0). % 24.06/3.45 cnf(c39, plain, % 24.06/3.45 $false, % 24.06/3.45 inference(predicate_reduction, [assumptions([a24])], [c37, c38])). % 24.06/3.45 % 24.06/3.45 cnf(c40, plain, % 24.06/3.45 environment(sK7)). % 24.06/3.45 cnf(a25, assumption, % 24.06/3.45 X3 = sK7). % 24.06/3.45 cnf(c41, plain, % 24.06/3.45 $false, % 24.06/3.45 inference(predicate_reduction, [assumptions([a25])], [c36, c40])). % 24.06/3.45 % 24.06/3.45 cnf(c42, axiom, % 24.06/3.45 subpopulations(first_movers,efficient_producers,X14,sK4(X15,X14)) | ~sP0(X15,X14)). % 24.06/3.45 cnf(a26, assumption, % 24.06/3.45 X1 = X15). % 24.06/3.45 cnf(a27, assumption, % 24.06/3.45 X0 = X14). % 24.06/3.45 cnf(c43, plain, % 24.06/3.45 ~in_environment(X0,X1), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a26, a27])], [c6, c42])). % 24.06/3.45 cnf(c44, plain, % 24.06/3.45 subpopulations(first_movers,efficient_producers,X14,sK4(X15,X14)), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a26, a27])], [c6, c42])). % 24.06/3.45 % 24.06/3.45 cnf(c45, axiom, % 24.06/3.45 greater(growth_rate(efficient_producers,X16),growth_rate(first_movers,X16)) | ~greater_or_equal(X16,sK6(X17)) | ~subpopulations(first_movers,efficient_producers,X17,X16) | ~stable(X17) | ~environment(X17)). % 24.06/3.45 cnf(a28, assumption, % 24.06/3.45 first_movers = first_movers). % 24.06/3.45 cnf(a29, assumption, % 24.06/3.45 efficient_producers = efficient_producers). % 24.06/3.45 cnf(a30, assumption, % 24.06/3.45 X14 = X17). % 24.06/3.45 cnf(a31, assumption, % 24.06/3.45 sK4(X15,X14) = X16). % 24.06/3.45 cnf(c46, plain, % 24.06/3.45 $false, % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a28, a29, a30, a31])], [c44, c45])). % 24.06/3.45 cnf(c47, plain, % 24.06/3.45 greater(growth_rate(efficient_producers,X16),growth_rate(first_movers,X16)) | ~greater_or_equal(X16,sK6(X17)) | ~stable(X17) | ~environment(X17), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a28, a29, a30, a31])], [c44, c45])). % 24.06/3.45 % 24.06/3.45 cnf(c48, axiom, % 24.06/3.45 ~greater(growth_rate(efficient_producers,sK4(X18,X19)),growth_rate(first_movers,sK4(X18,X19))) | ~sP0(X18,X19)). % 24.06/3.45 cnf(a32, assumption, % 24.06/3.45 growth_rate(efficient_producers,X16) = growth_rate(efficient_producers,sK4(X18,X19))). % 24.06/3.45 cnf(a33, assumption, % 24.06/3.45 growth_rate(first_movers,X16) = growth_rate(first_movers,sK4(X18,X19))). % 24.06/3.45 cnf(c49, plain, % 24.06/3.45 ~greater_or_equal(X16,sK6(X17)) | ~stable(X17) | ~environment(X17), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a32, a33])], [c47, c48])). % 24.06/3.45 cnf(c50, plain, % 24.06/3.45 ~sP0(X18,X19), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a32, a33])], [c47, c48])). % 24.06/3.45 % 24.06/3.45 cnf(c51, plain, % 24.06/3.45 sP0(X1,X0)). % 24.06/3.45 cnf(a34, assumption, % 24.06/3.45 X18 = X1). % 24.06/3.45 cnf(a35, assumption, % 24.06/3.45 X19 = X0). % 24.06/3.45 cnf(c52, plain, % 24.06/3.45 $false, % 24.06/3.45 inference(predicate_reduction, [assumptions([a34, a35])], [c50, c51])). % 24.06/3.45 % 24.06/3.45 cnf(c53, axiom, % 24.06/3.45 greater_or_equal(sK4(X20,X21),X20) | ~sP0(X20,X21)). % 24.06/3.45 cnf(a36, assumption, % 24.06/3.45 X16 = sK4(X20,X21)). % 24.06/3.45 cnf(a37, assumption, % 24.06/3.45 sK6(X17) = X20). % 24.06/3.45 cnf(c54, plain, % 24.06/3.45 ~stable(X17) | ~environment(X17), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a36, a37])], [c49, c53])). % 24.06/3.45 cnf(c55, plain, % 24.06/3.45 ~sP0(X20,X21), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a36, a37])], [c49, c53])). % 24.06/3.45 % 24.06/3.45 cnf(c56, plain, % 24.06/3.45 sP0(X1,X0)). % 24.06/3.45 cnf(a38, assumption, % 24.06/3.45 X20 = X1). % 24.06/3.45 cnf(a39, assumption, % 24.06/3.45 X21 = X0). % 24.06/3.45 cnf(c57, plain, % 24.06/3.45 $false, % 24.06/3.45 inference(predicate_reduction, [assumptions([a38, a39])], [c55, c56])). % 24.06/3.45 % 24.06/3.45 cnf(c58, axiom, % 24.06/3.45 stable(sK7)). % 24.06/3.45 cnf(a40, assumption, % 24.06/3.45 X17 = sK7). % 24.06/3.45 cnf(c59, plain, % 24.06/3.45 ~environment(X17), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a40])], [c54, c58])). % 24.06/3.45 cnf(c60, plain, % 24.06/3.45 $false, % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a40])], [c54, c58])). % 24.06/3.45 % 24.06/3.45 cnf(c61, plain, % 24.06/3.45 environment(sK7)). % 24.06/3.45 cnf(a41, assumption, % 24.06/3.45 X17 = sK7). % 24.06/3.45 cnf(c62, plain, % 24.06/3.45 $false, % 24.06/3.45 inference(predicate_reduction, [assumptions([a41])], [c59, c61])). % 24.06/3.45 % 24.06/3.45 cnf(c63, axiom, % 24.06/3.45 in_environment(X22,sK6(X22)) | ~stable(X22) | ~environment(X22)). % 24.06/3.45 cnf(a42, assumption, % 24.06/3.45 X0 = X22). % 24.06/3.45 cnf(a43, assumption, % 24.06/3.45 X1 = sK6(X22)). % 24.06/3.45 cnf(c64, plain, % 24.06/3.45 $false, % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a42, a43])], [c43, c63])). % 24.06/3.45 cnf(c65, plain, % 24.06/3.45 ~stable(X22) | ~environment(X22), % 24.06/3.45 inference(strict_predicate_extension, [assumptions([a42, a43])], [c43, c63])). % 24.06/3.45 % 24.06/3.45 cnf(c66, plain, % 24.06/3.45 stable(X17)). % 24.06/3.45 cnf(a44, assumption, % 24.06/3.45 X22 = X17). % 24.06/3.45 cnf(c67, plain, % 24.06/3.45 ~environment(X22), % 24.06/3.45 inference(predicate_reduction, [assumptions([a44])], [c65, c66])). % 24.06/3.45 % 24.06/3.45 cnf(c68, plain, % 24.06/3.45 environment(sK7)). % 24.06/3.45 cnf(a45, assumption, % 24.06/3.45 X22 = sK7). % 24.06/3.45 cnf(c69, plain, % 24.06/3.45 $false, % 24.06/3.45 inference(predicate_reduction, [assumptions([a45])], [c67, c68])). % 24.06/3.45 % 24.06/3.45 cnf(c70, plain, % 24.06/3.45 $false, % 24.06/3.45 inference(constraint_solving, [ % 24.06/3.45 bind(X0, sK7), % 24.06/3.45 bind(X1, sK6(X17)), % 24.06/3.45 bind(X2, sK7), % 24.06/3.45 bind(X3, sK7), % 24.06/3.45 bind(X4, sK3(X2)), % 24.06/3.45 bind(X5, sK3(X2)), % 24.06/3.45 bind(X6, sK7), % 24.06/3.45 bind(X7, sK5(X5,X6)), % 24.06/3.45 bind(X8, sK7), % 24.06/3.45 bind(X9, sK3(X2)), % 24.06/3.45 bind(X10, sK7), % 24.06/3.45 bind(X11, sK7), % 24.06/3.45 bind(X12, sK3(X2)), % 24.06/3.45 bind(X13, sK7), % 24.06/3.45 bind(X14, sK7), % 24.06/3.45 bind(X15, sK6(X17)), % 24.06/3.45 bind(X16, sK4(X15,X14)), % 24.06/3.45 bind(X17, sK7), % 24.06/3.45 bind(X18, sK6(X17)), % 24.06/3.45 bind(X19, sK7), % 24.06/3.45 bind(X20, sK6(X17)), % 24.06/3.45 bind(X21, sK7), % 24.06/3.45 bind(X22, sK7) % 24.06/3.45 ], % 24.06/3.45 [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, a41, a42, a43, a44, a45])). % 24.06/3.45 % 24.06/3.45 % SZS output end IncompleteProof %------------------------------------------------------------------------------