%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : MGT036+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 : n007.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 : Theorem 0.14s 0.39s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT036+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 % 0.10/0.36 % Computer : n007.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Mon Sep 7 12:38:41 UTC 2026 % 0.10/0.36 % CPUTime : % 0.14/0.39 % SZS status Theorem % 0.14/0.39 % SZS output begin IncompleteProof % 0.14/0.39 cnf(c0, axiom, % 0.14/0.39 environment(sK2)). % 0.14/0.39 cnf(c1, plain, % 0.14/0.39 environment(sK2), % 0.14/0.39 inference(start, [], [c0])). % 0.14/0.39 % 0.14/0.39 cnf(c2, axiom, % 0.14/0.39 sP1(X0,X1,X2) | ~subpopulations(X1,X2,X3,X0) | ~environment(X3)). % 0.14/0.39 cnf(a0, assumption, % 0.14/0.39 sK2 = X3). % 0.14/0.39 cnf(c3, plain, % 0.14/0.39 $false, % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.14/0.39 cnf(c4, plain, % 0.14/0.39 sP1(X0,X1,X2) | ~subpopulations(X1,X2,X3,X0), % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.14/0.39 % 0.14/0.39 cnf(c5, axiom, % 0.14/0.39 sP0(X4,X5,X6) | ~outcompetes(X6,X5,X4) | ~sP1(X4,X5,X6)). % 0.14/0.39 cnf(a1, assumption, % 0.14/0.39 X0 = X4). % 0.14/0.39 cnf(a2, assumption, % 0.14/0.39 X1 = X5). % 0.14/0.39 cnf(a3, assumption, % 0.14/0.39 X2 = X6). % 0.14/0.39 cnf(c6, plain, % 0.14/0.39 ~subpopulations(X1,X2,X3,X0), % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a1, a2, a3])], [c4, c5])). % 0.14/0.39 cnf(c7, plain, % 0.14/0.39 sP0(X4,X5,X6) | ~outcompetes(X6,X5,X4), % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a1, a2, a3])], [c4, c5])). % 0.14/0.39 % 0.14/0.39 cnf(c8, axiom, % 0.14/0.39 greater_or_equal(growth_rate(X7,X8),zero) | ~sP0(X8,X9,X7)). % 0.14/0.39 cnf(a4, assumption, % 0.14/0.39 X4 = X8). % 0.14/0.39 cnf(a5, assumption, % 0.14/0.39 X5 = X9). % 0.14/0.39 cnf(a6, assumption, % 0.14/0.39 X6 = X7). % 0.14/0.39 cnf(c9, plain, % 0.14/0.39 ~outcompetes(X6,X5,X4), % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c7, c8])). % 0.14/0.39 cnf(c10, plain, % 0.14/0.39 greater_or_equal(growth_rate(X7,X8),zero), % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c7, c8])). % 0.14/0.39 % 0.14/0.39 cnf(c11, axiom, % 0.14/0.39 ~greater(zero,growth_rate(X10,X11)) | ~greater_or_equal(growth_rate(X10,X11),zero)). % 0.14/0.39 cnf(a7, assumption, % 0.14/0.39 growth_rate(X7,X8) = growth_rate(X10,X11)). % 0.14/0.39 cnf(a8, assumption, % 0.14/0.39 zero = zero). % 0.14/0.39 cnf(c12, plain, % 0.14/0.39 $false, % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a7, a8])], [c10, c11])). % 0.14/0.39 cnf(c13, plain, % 0.14/0.39 ~greater(zero,growth_rate(X10,X11)), % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a7, a8])], [c10, c11])). % 0.14/0.39 % 0.14/0.39 cnf(c14, axiom, % 0.14/0.39 ~greater(zero,growth_rate(X12,X13)) | ~greater(resilience(X12),resilience(X14)) | greater(zero,growth_rate(X14,X13)) | ~in_environment(X15,X13) | ~environment(X15)). % 0.14/0.39 cnf(a9, assumption, % 0.14/0.39 zero = zero). % 0.14/0.39 cnf(a10, assumption, % 0.14/0.39 growth_rate(X10,X11) = growth_rate(X14,X13)). % 0.14/0.39 cnf(c15, plain, % 0.14/0.39 $false, % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a9, a10])], [c13, c14])). % 0.14/0.39 cnf(c16, plain, % 0.14/0.39 ~greater(zero,growth_rate(X12,X13)) | ~greater(resilience(X12),resilience(X14)) | ~in_environment(X15,X13) | ~environment(X15), % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a9, a10])], [c13, c14])). % 0.14/0.39 % 0.14/0.39 cnf(c17, axiom, % 0.14/0.39 greater(zero,growth_rate(X16,X17)) | ~sP0(X17,X16,X18)). % 0.14/0.39 cnf(a11, assumption, % 0.14/0.39 zero = zero). % 0.14/0.39 cnf(a12, assumption, % 0.14/0.39 growth_rate(X12,X13) = growth_rate(X16,X17)). % 0.14/0.39 cnf(c18, plain, % 0.14/0.39 ~greater(resilience(X12),resilience(X14)) | ~in_environment(X15,X13) | ~environment(X15), % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a11, a12])], [c16, c17])). % 0.14/0.39 cnf(c19, plain, % 0.14/0.39 ~sP0(X17,X16,X18), % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a11, a12])], [c16, c17])). % 0.14/0.39 % 0.14/0.39 cnf(c20, plain, % 0.14/0.39 sP0(X4,X5,X6)). % 0.14/0.39 cnf(a13, assumption, % 0.14/0.39 X17 = X4). % 0.14/0.39 cnf(a14, assumption, % 0.14/0.39 X16 = X5). % 0.14/0.39 cnf(a15, assumption, % 0.14/0.39 X18 = X6). % 0.14/0.39 cnf(c21, plain, % 0.14/0.39 $false, % 0.14/0.39 inference(predicate_reduction, [assumptions([a13, a14, a15])], [c19, c20])). % 0.14/0.39 % 0.14/0.39 cnf(c22, axiom, % 0.14/0.39 greater(resilience(efficient_producers),resilience(first_movers))). % 0.14/0.39 cnf(a16, assumption, % 0.14/0.39 resilience(X12) = resilience(efficient_producers)). % 0.14/0.39 cnf(a17, assumption, % 0.14/0.39 resilience(X14) = resilience(first_movers)). % 0.14/0.39 cnf(c23, plain, % 0.14/0.39 ~in_environment(X15,X13) | ~environment(X15), % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a16, a17])], [c18, c22])). % 0.14/0.39 cnf(c24, plain, % 0.14/0.39 $false, % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a16, a17])], [c18, c22])). % 0.14/0.39 % 0.14/0.39 cnf(c25, axiom, % 0.14/0.39 in_environment(X19,X20) | ~subpopulations(first_movers,efficient_producers,X19,X20) | ~environment(X19)). % 0.14/0.39 cnf(a18, assumption, % 0.14/0.39 X15 = X19). % 0.14/0.39 cnf(a19, assumption, % 0.14/0.39 X13 = X20). % 0.14/0.39 cnf(c26, plain, % 0.14/0.39 ~environment(X15), % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a18, a19])], [c23, c25])). % 0.14/0.39 cnf(c27, plain, % 0.14/0.39 ~subpopulations(first_movers,efficient_producers,X19,X20) | ~environment(X19), % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a18, a19])], [c23, c25])). % 0.14/0.39 % 0.14/0.39 cnf(c28, axiom, % 0.14/0.39 subpopulations(first_movers,efficient_producers,sK2,sK3)). % 0.14/0.39 cnf(a20, assumption, % 0.14/0.39 first_movers = first_movers). % 0.14/0.39 cnf(a21, assumption, % 0.14/0.39 efficient_producers = efficient_producers). % 0.14/0.39 cnf(a22, assumption, % 0.14/0.39 X19 = sK2). % 0.14/0.39 cnf(a23, assumption, % 0.14/0.39 X20 = sK3). % 0.14/0.39 cnf(c29, plain, % 0.14/0.39 ~environment(X19), % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a20, a21, a22, a23])], [c27, c28])). % 0.14/0.39 cnf(c30, plain, % 0.14/0.39 $false, % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a20, a21, a22, a23])], [c27, c28])). % 0.14/0.39 % 0.14/0.39 cnf(c31, plain, % 0.14/0.39 environment(sK2)). % 0.14/0.39 cnf(a24, assumption, % 0.14/0.39 X19 = sK2). % 0.14/0.39 cnf(c32, plain, % 0.14/0.39 $false, % 0.14/0.39 inference(predicate_reduction, [assumptions([a24])], [c29, c31])). % 0.14/0.39 % 0.14/0.39 cnf(c33, plain, % 0.14/0.39 environment(sK2)). % 0.14/0.39 cnf(a25, assumption, % 0.14/0.39 X15 = sK2). % 0.14/0.39 cnf(c34, plain, % 0.14/0.39 $false, % 0.14/0.39 inference(predicate_reduction, [assumptions([a25])], [c26, c33])). % 0.14/0.39 % 0.14/0.39 cnf(c35, axiom, % 0.14/0.39 outcompetes(first_movers,efficient_producers,sK3)). % 0.14/0.39 cnf(a26, assumption, % 0.14/0.39 X6 = first_movers). % 0.14/0.39 cnf(a27, assumption, % 0.14/0.39 X5 = efficient_producers). % 0.14/0.39 cnf(a28, assumption, % 0.14/0.39 X4 = sK3). % 0.14/0.39 cnf(c36, plain, % 0.14/0.39 $false, % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a26, a27, a28])], [c9, c35])). % 0.14/0.39 cnf(c37, plain, % 0.14/0.39 $false, % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a26, a27, a28])], [c9, c35])). % 0.14/0.39 % 0.14/0.39 cnf(c38, axiom, % 0.14/0.39 subpopulations(X21,X22,X23,X24) | ~subpopulations(X22,X21,X23,X24) | ~environment(X23)). % 0.14/0.39 cnf(a29, assumption, % 0.14/0.39 X1 = X21). % 0.14/0.39 cnf(a30, assumption, % 0.14/0.39 X2 = X22). % 0.14/0.39 cnf(a31, assumption, % 0.14/0.39 X3 = X23). % 0.14/0.39 cnf(a32, assumption, % 0.14/0.39 X0 = X24). % 0.14/0.39 cnf(c39, plain, % 0.14/0.39 $false, % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a29, a30, a31, a32])], [c6, c38])). % 0.14/0.39 cnf(c40, plain, % 0.14/0.39 ~subpopulations(X22,X21,X23,X24) | ~environment(X23), % 0.14/0.39 inference(strict_predicate_extension, [assumptions([a29, a30, a31, a32])], [c6, c38])). % 0.14/0.39 % 0.14/0.39 cnf(c41, plain, % 0.14/0.39 subpopulations(first_movers,efficient_producers,X19,X20)). % 0.14/0.39 cnf(a33, assumption, % 0.14/0.39 X22 = first_movers). % 0.14/0.39 cnf(a34, assumption, % 0.14/0.39 X21 = efficient_producers). % 0.14/0.39 cnf(a35, assumption, % 0.14/0.39 X23 = X19). % 0.14/0.39 cnf(a36, assumption, % 0.14/0.39 X24 = X20). % 0.14/0.39 cnf(c42, plain, % 0.14/0.39 ~environment(X23), % 0.14/0.39 inference(predicate_reduction, [assumptions([a33, a34, a35, a36])], [c40, c41])). % 0.14/0.39 % 0.14/0.39 cnf(c43, plain, % 0.14/0.39 environment(sK2)). % 0.14/0.39 cnf(a37, assumption, % 0.14/0.39 X23 = sK2). % 0.14/0.39 cnf(c44, plain, % 0.14/0.39 $false, % 0.14/0.39 inference(predicate_reduction, [assumptions([a37])], [c42, c43])). % 0.14/0.39 % 0.14/0.39 cnf(c45, plain, % 0.14/0.39 $false, % 0.14/0.39 inference(constraint_solving, [ % 0.14/0.39 bind(X0, sK3), % 0.14/0.39 bind(X1, efficient_producers), % 0.14/0.39 bind(X2, first_movers), % 0.14/0.39 bind(X3, sK2), % 0.14/0.39 bind(X4, sK3), % 0.14/0.39 bind(X5, efficient_producers), % 0.14/0.39 bind(X6, first_movers), % 0.14/0.39 bind(X7, first_movers), % 0.14/0.39 bind(X8, sK3), % 0.14/0.39 bind(X9, efficient_producers), % 0.14/0.39 bind(X10, first_movers), % 0.14/0.39 bind(X11, sK3), % 0.14/0.39 bind(X12, efficient_producers), % 0.14/0.39 bind(X13, sK3), % 0.14/0.39 bind(X14, first_movers), % 0.14/0.39 bind(X15, sK2), % 0.14/0.39 bind(X16, efficient_producers), % 0.14/0.39 bind(X17, sK3), % 0.14/0.39 bind(X18, first_movers), % 0.14/0.39 bind(X19, sK2), % 0.14/0.39 bind(X20, sK3), % 0.14/0.39 bind(X21, efficient_producers), % 0.14/0.39 bind(X22, first_movers), % 0.14/0.39 bind(X23, sK2), % 0.14/0.39 bind(X24, sK3) % 0.14/0.39 ], % 0.14/0.39 [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])). % 0.14/0.39 % 0.14/0.39 % SZS output end IncompleteProof %------------------------------------------------------------------------------