%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : MGT022+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 : n005.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 0.09s 0.35s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT022+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 % 0.09/0.33 % Computer : n005.cluster.edu % 0.09/0.33 % Model : x86_64 x86_64 % 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.33 % Memory : 8046.5625MB % 0.09/0.33 % OS : Linux 6.8.0-71-generic % 0.09/0.33 % CPULimit : 300 % 0.09/0.33 % WCLimit : 300 % 0.09/0.33 % DateTime : Mon Sep 7 12:05:20 UTC 2026 % 0.09/0.34 % CPUTime : % 0.09/0.35 % SZS status Theorem % 0.09/0.35 % SZS output begin IncompleteProof % 0.09/0.35 cnf(c0, axiom, % 0.09/0.35 subpopulations(first_movers,efficient_producers,sK1,sK2)). % 0.09/0.35 cnf(c1, plain, % 0.09/0.35 subpopulations(first_movers,efficient_producers,sK1,sK2), % 0.09/0.35 inference(start, [], [c0])). % 0.09/0.35 % 0.09/0.35 cnf(c2, axiom, % 0.09/0.35 increases(difference(disbanding_rate(X0,X1),disbanding_rate(X2,X1))) | ~decreases(resources(X3,X1)) | ~greater(resilience(X2),resilience(X0)) | ~subpopulations(X0,X2,X3,X1) | ~environment(X3)). % 0.09/0.35 cnf(a0, assumption, % 0.09/0.35 first_movers = X0). % 0.09/0.35 cnf(a1, assumption, % 0.09/0.35 efficient_producers = X2). % 0.09/0.35 cnf(a2, assumption, % 0.09/0.35 sK1 = X3). % 0.09/0.35 cnf(a3, assumption, % 0.09/0.35 sK2 = X1). % 0.09/0.35 cnf(c3, plain, % 0.09/0.35 $false, % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2, a3])], [c1, c2])). % 0.09/0.35 cnf(c4, plain, % 0.09/0.35 increases(difference(disbanding_rate(X0,X1),disbanding_rate(X2,X1))) | ~decreases(resources(X3,X1)) | ~greater(resilience(X2),resilience(X0)) | ~environment(X3), % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2, a3])], [c1, c2])). % 0.09/0.35 % 0.09/0.35 cnf(c5, axiom, % 0.09/0.35 ~increases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) | ~sP0(X4,X5)). % 0.09/0.35 cnf(a4, assumption, % 0.09/0.35 difference(disbanding_rate(X0,X1),disbanding_rate(X2,X1)) = difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))). % 0.09/0.35 cnf(c6, plain, % 0.09/0.35 ~decreases(resources(X3,X1)) | ~greater(resilience(X2),resilience(X0)) | ~environment(X3), % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a4])], [c4, c5])). % 0.09/0.35 cnf(c7, plain, % 0.09/0.35 ~sP0(X4,X5), % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a4])], [c4, c5])). % 0.09/0.35 % 0.09/0.35 cnf(c8, axiom, % 0.09/0.35 constant(resources(sK1,sK2)) | sP0(sK2,sK1)). % 0.09/0.35 cnf(a5, assumption, % 0.09/0.35 X4 = sK2). % 0.09/0.35 cnf(a6, assumption, % 0.09/0.35 X5 = sK1). % 0.09/0.35 cnf(c9, plain, % 0.09/0.35 $false, % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a5, a6])], [c7, c8])). % 0.09/0.35 cnf(c10, plain, % 0.09/0.35 constant(resources(sK1,sK2)), % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a5, a6])], [c7, c8])). % 0.09/0.35 % 0.09/0.35 cnf(c11, axiom, % 0.09/0.35 constant(difference(disbanding_rate(X6,X7),disbanding_rate(X8,X7))) | ~constant(resources(X9,X7)) | ~greater(resilience(X8),resilience(X6)) | ~subpopulations(X6,X8,X9,X7) | ~environment(X9)). % 0.09/0.35 cnf(a7, assumption, % 0.09/0.35 resources(sK1,sK2) = resources(X9,X7)). % 0.09/0.35 cnf(c12, plain, % 0.09/0.35 $false, % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a7])], [c10, c11])). % 0.09/0.35 cnf(c13, plain, % 0.09/0.35 constant(difference(disbanding_rate(X6,X7),disbanding_rate(X8,X7))) | ~greater(resilience(X8),resilience(X6)) | ~subpopulations(X6,X8,X9,X7) | ~environment(X9), % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a7])], [c10, c11])). % 0.09/0.35 % 0.09/0.35 cnf(c14, axiom, % 0.09/0.35 ~decreases(X10) | ~constant(X10)). % 0.09/0.35 cnf(a8, assumption, % 0.09/0.35 difference(disbanding_rate(X6,X7),disbanding_rate(X8,X7)) = X10). % 0.09/0.35 cnf(c15, plain, % 0.09/0.35 ~greater(resilience(X8),resilience(X6)) | ~subpopulations(X6,X8,X9,X7) | ~environment(X9), % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a8])], [c13, c14])). % 0.09/0.35 cnf(c16, plain, % 0.09/0.35 ~decreases(X10), % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a8])], [c13, c14])). % 0.09/0.35 % 0.09/0.35 cnf(c17, axiom, % 0.09/0.35 decreases(difference(disbanding_rate(first_movers,sK2),disbanding_rate(efficient_producers,sK2))) | sP0(sK2,sK1)). % 0.09/0.35 cnf(a9, assumption, % 0.09/0.35 X10 = difference(disbanding_rate(first_movers,sK2),disbanding_rate(efficient_producers,sK2))). % 0.09/0.35 cnf(c18, plain, % 0.09/0.35 $false, % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a9])], [c16, c17])). % 0.09/0.35 cnf(c19, plain, % 0.09/0.35 sP0(sK2,sK1), % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a9])], [c16, c17])). % 0.09/0.35 % 0.09/0.35 cnf(c20, plain, % 0.09/0.35 ~sP0(X4,X5)). % 0.09/0.35 cnf(a10, assumption, % 0.09/0.35 sK2 = X4). % 0.09/0.35 cnf(a11, assumption, % 0.09/0.35 sK1 = X5). % 0.09/0.35 cnf(c21, plain, % 0.09/0.35 $false, % 0.09/0.35 inference(predicate_reduction, [assumptions([a10, a11])], [c19, c20])). % 0.09/0.35 % 0.09/0.35 cnf(c22, axiom, % 0.09/0.35 greater(resilience(efficient_producers),resilience(first_movers))). % 0.09/0.35 cnf(a12, assumption, % 0.09/0.35 resilience(X8) = resilience(efficient_producers)). % 0.09/0.35 cnf(a13, assumption, % 0.09/0.35 resilience(X6) = resilience(first_movers)). % 0.09/0.35 cnf(c23, plain, % 0.09/0.35 ~subpopulations(X6,X8,X9,X7) | ~environment(X9), % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a12, a13])], [c15, c22])). % 0.09/0.35 cnf(c24, plain, % 0.09/0.35 $false, % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a12, a13])], [c15, c22])). % 0.09/0.35 % 0.09/0.35 cnf(c25, plain, % 0.09/0.35 subpopulations(first_movers,efficient_producers,sK1,sK2)). % 0.09/0.35 cnf(a14, assumption, % 0.09/0.35 X6 = first_movers). % 0.09/0.35 cnf(a15, assumption, % 0.09/0.35 X8 = efficient_producers). % 0.09/0.35 cnf(a16, assumption, % 0.09/0.35 X9 = sK1). % 0.09/0.35 cnf(a17, assumption, % 0.09/0.35 X7 = sK2). % 0.09/0.35 cnf(c26, plain, % 0.09/0.35 ~environment(X9), % 0.09/0.35 inference(predicate_reduction, [assumptions([a14, a15, a16, a17])], [c23, c25])). % 0.09/0.35 % 0.09/0.35 cnf(c27, axiom, % 0.09/0.35 environment(sK1)). % 0.09/0.35 cnf(a18, assumption, % 0.09/0.35 X9 = sK1). % 0.09/0.35 cnf(c28, plain, % 0.09/0.35 $false, % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a18])], [c26, c27])). % 0.09/0.35 cnf(c29, plain, % 0.09/0.35 $false, % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a18])], [c26, c27])). % 0.09/0.35 % 0.09/0.35 cnf(c30, axiom, % 0.09/0.35 decreases(resources(X11,X12)) | ~sP0(X12,X11)). % 0.09/0.35 cnf(a19, assumption, % 0.09/0.35 resources(X3,X1) = resources(X11,X12)). % 0.09/0.35 cnf(c31, plain, % 0.09/0.35 ~greater(resilience(X2),resilience(X0)) | ~environment(X3), % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a19])], [c6, c30])). % 0.09/0.35 cnf(c32, plain, % 0.09/0.35 ~sP0(X12,X11), % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a19])], [c6, c30])). % 0.09/0.35 % 0.09/0.35 cnf(c33, plain, % 0.09/0.35 sP0(X4,X5)). % 0.09/0.35 cnf(a20, assumption, % 0.09/0.35 X12 = X4). % 0.09/0.35 cnf(a21, assumption, % 0.09/0.35 X11 = X5). % 0.09/0.35 cnf(c34, plain, % 0.09/0.35 $false, % 0.09/0.35 inference(predicate_reduction, [assumptions([a20, a21])], [c32, c33])). % 0.09/0.35 % 0.09/0.35 cnf(c35, plain, % 0.09/0.35 greater(resilience(X8),resilience(X6))). % 0.09/0.35 cnf(a22, assumption, % 0.09/0.35 resilience(X2) = resilience(X8)). % 0.09/0.35 cnf(a23, assumption, % 0.09/0.35 resilience(X0) = resilience(X6)). % 0.09/0.35 cnf(c36, plain, % 0.09/0.35 ~environment(X3), % 0.09/0.35 inference(predicate_reduction, [assumptions([a22, a23])], [c31, c35])). % 0.09/0.35 % 0.09/0.35 cnf(c37, plain, % 0.09/0.35 environment(X9)). % 0.09/0.35 cnf(a24, assumption, % 0.09/0.35 X3 = X9). % 0.09/0.35 cnf(c38, plain, % 0.09/0.35 $false, % 0.09/0.35 inference(predicate_reduction, [assumptions([a24])], [c36, c37])). % 0.09/0.35 % 0.09/0.35 cnf(c39, plain, % 0.09/0.35 $false, % 0.09/0.35 inference(constraint_solving, [ % 0.09/0.35 bind(X0, first_movers), % 0.09/0.35 bind(X1, sK2), % 0.09/0.35 bind(X2, efficient_producers), % 0.09/0.35 bind(X3, sK1), % 0.09/0.35 bind(X4, sK2), % 0.09/0.35 bind(X5, sK1), % 0.09/0.35 bind(X6, first_movers), % 0.09/0.35 bind(X7, sK2), % 0.09/0.35 bind(X8, efficient_producers), % 0.09/0.35 bind(X9, sK1), % 0.09/0.35 bind(X10, difference(disbanding_rate(X6,X7),disbanding_rate(X8,X7))), % 0.09/0.35 bind(X11, sK1), % 0.09/0.35 bind(X12, sK2) % 0.09/0.35 ], % 0.09/0.35 [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])). % 0.09/0.35 % 0.09/0.35 % SZS output end IncompleteProof 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