%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : MGT030+1 : 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 : 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 : Theorem 0.15s 0.40s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT030+1 : 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 % 0.10/0.37 % Computer : n003.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Mon Sep 7 12:19:08 UTC 2026 % 0.10/0.37 % CPUTime : % 0.15/0.40 % SZS status Theorem % 0.15/0.40 % SZS output begin IncompleteProof % 0.15/0.40 cnf(c0, axiom, % 0.15/0.40 stable(sK7)). % 0.15/0.40 cnf(c1, plain, % 0.15/0.40 stable(sK7), % 0.15/0.40 inference(start, [], [c0])). % 0.15/0.40 % 0.15/0.40 cnf(c2, axiom, % 0.15/0.40 greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) | ~greater_or_equal(X0,sK5(X1)) | ~subpopulations(first_movers,efficient_producers,X1,X0) | ~stable(X1) | ~environment(X1)). % 0.15/0.40 cnf(a0, assumption, % 0.15/0.40 sK7 = X1). % 0.15/0.40 cnf(c3, plain, % 0.15/0.40 $false, % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.15/0.40 cnf(c4, plain, % 0.15/0.40 greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) | ~greater_or_equal(X0,sK5(X1)) | ~subpopulations(first_movers,efficient_producers,X1,X0) | ~environment(X1), % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.15/0.40 % 0.15/0.40 cnf(c5, axiom, % 0.15/0.40 ~greater(growth_rate(efficient_producers,sK4(X2,X3)),growth_rate(first_movers,sK4(X2,X3))) | ~sP0(X2,X3)). % 0.15/0.40 cnf(a1, assumption, % 0.15/0.40 growth_rate(efficient_producers,X0) = growth_rate(efficient_producers,sK4(X2,X3))). % 0.15/0.40 cnf(a2, assumption, % 0.15/0.40 growth_rate(first_movers,X0) = growth_rate(first_movers,sK4(X2,X3))). % 0.15/0.40 cnf(c6, plain, % 0.15/0.40 ~greater_or_equal(X0,sK5(X1)) | ~subpopulations(first_movers,efficient_producers,X1,X0) | ~environment(X1), % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a1, a2])], [c4, c5])). % 0.15/0.40 cnf(c7, plain, % 0.15/0.40 ~sP0(X2,X3), % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a1, a2])], [c4, c5])). % 0.15/0.40 % 0.15/0.40 cnf(c8, axiom, % 0.15/0.40 sP1(X4) | sP0(X5,X4) | ~in_environment(X4,X5) | ~environment(X4)). % 0.15/0.40 cnf(a3, assumption, % 0.15/0.40 X2 = X5). % 0.15/0.40 cnf(a4, assumption, % 0.15/0.40 X3 = X4). % 0.15/0.40 cnf(c9, plain, % 0.15/0.40 $false, % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a3, a4])], [c7, c8])). % 0.15/0.40 cnf(c10, plain, % 0.15/0.40 sP1(X4) | ~in_environment(X4,X5) | ~environment(X4), % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a3, a4])], [c7, c8])). % 0.15/0.40 % 0.15/0.40 cnf(c11, axiom, % 0.15/0.40 in_environment(X6,sK3(X6)) | ~sP1(X6)). % 0.15/0.40 cnf(a5, assumption, % 0.15/0.40 X4 = X6). % 0.15/0.40 cnf(c12, plain, % 0.15/0.40 ~in_environment(X4,X5) | ~environment(X4), % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a5])], [c10, c11])). % 0.15/0.40 cnf(c13, plain, % 0.15/0.40 in_environment(X6,sK3(X6)), % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a5])], [c10, c11])). % 0.15/0.40 % 0.15/0.40 cnf(c14, axiom, % 0.15/0.40 sP2(X7,sK7) | greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7)) | ~in_environment(sK7,X7)). % 0.15/0.40 cnf(a6, assumption, % 0.15/0.40 X6 = sK7). % 0.15/0.40 cnf(a7, assumption, % 0.15/0.40 sK3(X6) = X7). % 0.15/0.40 cnf(c15, plain, % 0.15/0.40 $false, % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a6, a7])], [c13, c14])). % 0.15/0.40 cnf(c16, plain, % 0.15/0.40 sP2(X7,sK7) | greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7)), % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a6, a7])], [c13, c14])). % 0.15/0.40 % 0.15/0.40 cnf(c17, axiom, % 0.15/0.40 greater(sK6(X8,X9),X8) | ~sP2(X8,X9)). % 0.15/0.40 cnf(a8, assumption, % 0.15/0.40 X7 = X8). % 0.15/0.40 cnf(a9, assumption, % 0.15/0.40 sK7 = X9). % 0.15/0.40 cnf(c18, plain, % 0.15/0.40 greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7)), % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a8, a9])], [c16, c17])). % 0.15/0.40 cnf(c19, plain, % 0.15/0.40 greater(sK6(X8,X9),X8), % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a8, a9])], [c16, c17])). % 0.15/0.40 % 0.15/0.40 cnf(c20, axiom, % 0.15/0.40 greater(growth_rate(efficient_producers,X10),growth_rate(first_movers,X10)) | ~greater(X10,sK3(X11)) | ~subpopulations(first_movers,efficient_producers,X11,X10) | ~sP1(X11)). % 0.15/0.40 cnf(a10, assumption, % 0.15/0.40 sK6(X8,X9) = X10). % 0.15/0.40 cnf(a11, assumption, % 0.15/0.40 X8 = sK3(X11)). % 0.15/0.40 cnf(c21, plain, % 0.15/0.40 $false, % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a10, a11])], [c19, c20])). % 0.15/0.40 cnf(c22, plain, % 0.15/0.40 greater(growth_rate(efficient_producers,X10),growth_rate(first_movers,X10)) | ~subpopulations(first_movers,efficient_producers,X11,X10) | ~sP1(X11), % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a10, a11])], [c19, c20])). % 0.15/0.40 % 0.15/0.40 cnf(c23, axiom, % 0.15/0.40 ~greater(growth_rate(efficient_producers,sK6(X12,X13)),growth_rate(first_movers,sK6(X12,X13))) | ~sP2(X12,X13)). % 0.15/0.40 cnf(a12, assumption, % 0.15/0.40 growth_rate(efficient_producers,X10) = growth_rate(efficient_producers,sK6(X12,X13))). % 0.15/0.40 cnf(a13, assumption, % 0.15/0.40 growth_rate(first_movers,X10) = growth_rate(first_movers,sK6(X12,X13))). % 0.15/0.40 cnf(c24, plain, % 0.15/0.40 ~subpopulations(first_movers,efficient_producers,X11,X10) | ~sP1(X11), % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a12, a13])], [c22, c23])). % 0.15/0.40 cnf(c25, plain, % 0.15/0.40 ~sP2(X12,X13), % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a12, a13])], [c22, c23])). % 0.15/0.40 % 0.15/0.40 cnf(c26, plain, % 0.15/0.40 sP2(X7,sK7)). % 0.15/0.40 cnf(a14, assumption, % 0.15/0.40 X12 = X7). % 0.15/0.40 cnf(a15, assumption, % 0.15/0.40 X13 = sK7). % 0.15/0.40 cnf(c27, plain, % 0.15/0.40 $false, % 0.15/0.40 inference(predicate_reduction, [assumptions([a14, a15])], [c25, c26])). % 0.15/0.40 % 0.15/0.40 cnf(c28, axiom, % 0.15/0.40 subpopulations(first_movers,efficient_producers,X14,sK6(X15,X14)) | ~sP2(X15,X14)). % 0.15/0.40 cnf(a16, assumption, % 0.15/0.40 first_movers = first_movers). % 0.15/0.40 cnf(a17, assumption, % 0.15/0.40 efficient_producers = efficient_producers). % 0.15/0.40 cnf(a18, assumption, % 0.15/0.40 X11 = X14). % 0.15/0.40 cnf(a19, assumption, % 0.15/0.40 X10 = sK6(X15,X14)). % 0.15/0.40 cnf(c29, plain, % 0.15/0.40 ~sP1(X11), % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a16, a17, a18, a19])], [c24, c28])). % 0.15/0.40 cnf(c30, plain, % 0.15/0.40 ~sP2(X15,X14), % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a16, a17, a18, a19])], [c24, c28])). % 0.15/0.40 % 0.15/0.40 cnf(c31, plain, % 0.15/0.40 sP2(X7,sK7)). % 0.15/0.40 cnf(a20, assumption, % 0.15/0.40 X15 = X7). % 0.15/0.40 cnf(a21, assumption, % 0.15/0.40 X14 = sK7). % 0.15/0.40 cnf(c32, plain, % 0.15/0.40 $false, % 0.15/0.40 inference(predicate_reduction, [assumptions([a20, a21])], [c30, c31])). % 0.15/0.40 % 0.15/0.40 cnf(c33, plain, % 0.15/0.40 sP1(X4)). % 0.15/0.40 cnf(a22, assumption, % 0.15/0.40 X11 = X4). % 0.15/0.40 cnf(c34, plain, % 0.15/0.40 $false, % 0.15/0.40 inference(predicate_reduction, [assumptions([a22])], [c29, c33])). % 0.15/0.40 % 0.15/0.40 cnf(c35, axiom, % 0.15/0.40 ~greater(growth_rate(efficient_producers,sK3(X16)),growth_rate(first_movers,sK3(X16))) | ~sP1(X16)). % 0.15/0.40 cnf(a23, assumption, % 0.15/0.40 growth_rate(efficient_producers,X7) = growth_rate(efficient_producers,sK3(X16))). % 0.15/0.40 cnf(a24, assumption, % 0.15/0.40 growth_rate(first_movers,X7) = growth_rate(first_movers,sK3(X16))). % 0.15/0.40 cnf(c36, plain, % 0.15/0.40 $false, % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a23, a24])], [c18, c35])). % 0.15/0.40 cnf(c37, plain, % 0.15/0.40 ~sP1(X16), % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a23, a24])], [c18, c35])). % 0.15/0.40 % 0.15/0.40 cnf(c38, plain, % 0.15/0.40 sP1(X4)). % 0.15/0.40 cnf(a25, assumption, % 0.15/0.40 X16 = X4). % 0.15/0.40 cnf(c39, plain, % 0.15/0.40 $false, % 0.15/0.40 inference(predicate_reduction, [assumptions([a25])], [c37, c38])). % 0.15/0.40 % 0.15/0.40 cnf(c40, axiom, % 0.15/0.40 in_environment(X17,sK5(X17)) | ~stable(X17) | ~environment(X17)). % 0.15/0.40 cnf(a26, assumption, % 0.15/0.40 X4 = X17). % 0.15/0.40 cnf(a27, assumption, % 0.15/0.40 X5 = sK5(X17)). % 0.15/0.40 cnf(c41, plain, % 0.15/0.40 ~environment(X4), % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a26, a27])], [c12, c40])). % 0.15/0.40 cnf(c42, plain, % 0.15/0.40 ~stable(X17) | ~environment(X17), % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a26, a27])], [c12, c40])). % 0.15/0.40 % 0.15/0.40 cnf(c43, plain, % 0.15/0.40 stable(sK7)). % 0.15/0.40 cnf(a28, assumption, % 0.15/0.40 X17 = sK7). % 0.15/0.40 cnf(c44, plain, % 0.15/0.40 ~environment(X17), % 0.15/0.40 inference(predicate_reduction, [assumptions([a28])], [c42, c43])). % 0.15/0.40 % 0.15/0.40 cnf(c45, axiom, % 0.15/0.40 environment(sK7)). % 0.15/0.40 cnf(a29, assumption, % 0.15/0.40 X17 = sK7). % 0.15/0.40 cnf(c46, plain, % 0.15/0.40 $false, % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a29])], [c44, c45])). % 0.15/0.40 cnf(c47, plain, % 0.15/0.40 $false, % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a29])], [c44, c45])). % 0.15/0.40 % 0.15/0.40 cnf(c48, plain, % 0.15/0.40 environment(X17)). % 0.15/0.40 cnf(a30, assumption, % 0.15/0.40 X4 = X17). % 0.15/0.40 cnf(c49, plain, % 0.15/0.40 $false, % 0.15/0.40 inference(predicate_reduction, [assumptions([a30])], [c41, c48])). % 0.15/0.40 % 0.15/0.40 cnf(c50, axiom, % 0.15/0.40 greater_or_equal(sK4(X18,X19),X18) | ~sP0(X18,X19)). % 0.15/0.40 cnf(a31, assumption, % 0.15/0.40 X0 = sK4(X18,X19)). % 0.15/0.40 cnf(a32, assumption, % 0.15/0.40 sK5(X1) = X18). % 0.15/0.40 cnf(c51, plain, % 0.15/0.40 ~subpopulations(first_movers,efficient_producers,X1,X0) | ~environment(X1), % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a31, a32])], [c6, c50])). % 0.15/0.40 cnf(c52, plain, % 0.15/0.40 ~sP0(X18,X19), % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a31, a32])], [c6, c50])). % 0.15/0.40 % 0.15/0.40 cnf(c53, plain, % 0.15/0.40 sP0(X2,X3)). % 0.15/0.40 cnf(a33, assumption, % 0.15/0.40 X18 = X2). % 0.15/0.40 cnf(a34, assumption, % 0.15/0.40 X19 = X3). % 0.15/0.40 cnf(c54, plain, % 0.15/0.40 $false, % 0.15/0.40 inference(predicate_reduction, [assumptions([a33, a34])], [c52, c53])). % 0.15/0.40 % 0.15/0.40 cnf(c55, axiom, % 0.15/0.40 subpopulations(first_movers,efficient_producers,X20,sK4(X21,X20)) | ~sP0(X21,X20)). % 0.15/0.40 cnf(a35, assumption, % 0.15/0.40 first_movers = first_movers). % 0.15/0.40 cnf(a36, assumption, % 0.15/0.40 efficient_producers = efficient_producers). % 0.15/0.40 cnf(a37, assumption, % 0.15/0.40 X1 = X20). % 0.15/0.40 cnf(a38, assumption, % 0.15/0.40 X0 = sK4(X21,X20)). % 0.15/0.40 cnf(c56, plain, % 0.15/0.40 ~environment(X1), % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a35, a36, a37, a38])], [c51, c55])). % 0.15/0.40 cnf(c57, plain, % 0.15/0.40 ~sP0(X21,X20), % 0.15/0.40 inference(strict_predicate_extension, [assumptions([a35, a36, a37, a38])], [c51, c55])). % 0.15/0.40 % 0.15/0.40 cnf(c58, plain, % 0.15/0.40 sP0(X2,X3)). % 0.15/0.40 cnf(a39, assumption, % 0.15/0.40 X21 = X2). % 0.15/0.40 cnf(a40, assumption, % 0.15/0.40 X20 = X3). % 0.15/0.40 cnf(c59, plain, % 0.15/0.40 $false, % 0.15/0.40 inference(predicate_reduction, [assumptions([a39, a40])], [c57, c58])). % 0.15/0.40 % 0.15/0.40 cnf(c60, plain, % 0.15/0.40 environment(X17)). % 0.15/0.40 cnf(a41, assumption, % 0.15/0.40 X1 = X17). % 0.15/0.40 cnf(c61, plain, % 0.15/0.40 $false, % 0.15/0.40 inference(predicate_reduction, [assumptions([a41])], [c56, c60])). % 0.15/0.40 % 0.15/0.40 cnf(c62, plain, % 0.15/0.40 $false, % 0.15/0.40 inference(constraint_solving, [ % 0.15/0.40 bind(X0, sK4(X2,X3)), % 0.15/0.40 bind(X1, sK7), % 0.15/0.40 bind(X2, sK5(X17)), % 0.15/0.40 bind(X3, sK7), % 0.15/0.40 bind(X4, sK7), % 0.15/0.40 bind(X5, sK5(X17)), % 0.15/0.40 bind(X6, sK7), % 0.15/0.40 bind(X7, sK3(X6)), % 0.15/0.40 bind(X8, sK3(X6)), % 0.15/0.40 bind(X9, sK7), % 0.15/0.40 bind(X10, sK6(X8,X9)), % 0.15/0.40 bind(X11, sK7), % 0.15/0.40 bind(X12, sK3(X6)), % 0.15/0.40 bind(X13, sK7), % 0.15/0.40 bind(X14, sK7), % 0.15/0.40 bind(X15, sK3(X6)), % 0.15/0.40 bind(X16, sK7), % 0.15/0.40 bind(X17, sK7), % 0.15/0.40 bind(X18, sK5(X17)), % 0.15/0.40 bind(X19, sK7), % 0.15/0.40 bind(X20, sK7), % 0.15/0.40 bind(X21, sK5(X17)) % 0.15/0.40 ], % 0.15/0.40 [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])). % 0.15/0.40 % 0.15/0.40 % SZS output end IncompleteProof %------------------------------------------------------------------------------