%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : MGT021+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 : n015.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 22.36s 3.23s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT021+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 % 0.10/0.36 % Computer : n015.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 12:05:00 UTC 2026 % 0.10/0.37 % CPUTime : % 22.36/3.23 % SZS status Theorem % 22.36/3.23 % SZS output begin IncompleteProof % 22.36/3.23 cnf(c0, axiom, % 22.36/3.23 subpopulations(first_movers,efficient_producers,sK0,sK1)). % 22.36/3.23 cnf(c1, plain, % 22.36/3.23 subpopulations(first_movers,efficient_producers,sK0,sK1), % 22.36/3.23 inference(start, [], [c0])). % 22.36/3.23 % 22.36/3.23 cnf(c2, axiom, % 22.36/3.23 greater(number_of_organizations(X0,X1),zero) | ~subpopulations(first_movers,efficient_producers,X0,X1) | ~environment(X0)). % 22.36/3.23 cnf(a0, assumption, % 22.36/3.23 first_movers = first_movers). % 22.36/3.23 cnf(a1, assumption, % 22.36/3.23 efficient_producers = efficient_producers). % 22.36/3.23 cnf(a2, assumption, % 22.36/3.23 sK0 = X0). % 22.36/3.23 cnf(a3, assumption, % 22.36/3.23 sK1 = X1). % 22.36/3.23 cnf(c3, plain, % 22.36/3.23 $false, % 22.36/3.23 inference(strict_predicate_extension, [assumptions([a0, a1, a2, a3])], [c1, c2])). % 22.36/3.23 cnf(c4, plain, % 22.36/3.23 greater(number_of_organizations(X0,X1),zero) | ~environment(X0), % 22.36/3.23 inference(strict_predicate_extension, [assumptions([a0, a1, a2, a3])], [c1, c2])). % 22.36/3.23 % 22.36/3.23 cnf(c5, axiom, % 22.36/3.23 decreases(resources(X2,X3)) | ~greater(equilibrium(X2),X3) | ~greater(number_of_organizations(X2,X3),zero) | ~in_environment(X2,X3) | ~environment(X2)). % 22.36/3.23 cnf(a4, assumption, % 22.36/3.23 number_of_organizations(X0,X1) = number_of_organizations(X2,X3)). % 22.36/3.23 cnf(a5, assumption, % 22.36/3.23 zero = zero). % 22.36/3.23 cnf(c6, plain, % 22.36/3.23 ~environment(X0), % 22.36/3.23 inference(strict_predicate_extension, [assumptions([a4, a5])], [c4, c5])). % 22.36/3.23 cnf(c7, plain, % 22.36/3.23 decreases(resources(X2,X3)) | ~greater(equilibrium(X2),X3) | ~in_environment(X2,X3) | ~environment(X2), % 22.36/3.23 inference(strict_predicate_extension, [assumptions([a4, a5])], [c4, c5])). % 22.36/3.23 % 22.36/3.23 cnf(c8, axiom, % 22.36/3.23 increases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) | ~decreases(resources(X5,X4)) | ~subpopulations(first_movers,efficient_producers,X5,X4) | ~environment(X5)). % 22.36/3.23 cnf(a6, assumption, % 22.36/3.23 resources(X2,X3) = resources(X5,X4)). % 22.36/3.23 cnf(c9, plain, % 22.36/3.23 ~greater(equilibrium(X2),X3) | ~in_environment(X2,X3) | ~environment(X2), % 22.36/3.23 inference(strict_predicate_extension, [assumptions([a6])], [c7, c8])). % 22.36/3.23 cnf(c10, plain, % 22.36/3.23 increases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) | ~subpopulations(first_movers,efficient_producers,X5,X4) | ~environment(X5), % 22.36/3.23 inference(strict_predicate_extension, [assumptions([a6])], [c7, c8])). % 22.36/3.23 % 22.36/3.23 cnf(c11, axiom, % 22.36/3.23 ~decreases(X6) | ~increases(X6)). % 22.36/3.23 cnf(a7, assumption, % 22.36/3.23 difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4)) = X6). % 22.36/3.23 cnf(c12, plain, % 22.36/3.23 ~subpopulations(first_movers,efficient_producers,X5,X4) | ~environment(X5), % 22.36/3.23 inference(strict_predicate_extension, [assumptions([a7])], [c10, c11])). % 22.36/3.23 cnf(c13, plain, % 22.36/3.23 ~decreases(X6), % 22.36/3.23 inference(strict_predicate_extension, [assumptions([a7])], [c10, c11])). % 22.36/3.23 % 22.36/3.23 cnf(c14, axiom, % 22.36/3.23 decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))). % 22.36/3.23 cnf(a8, assumption, % 22.36/3.23 X6 = difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))). % 22.36/3.23 cnf(c15, plain, % 22.36/3.23 $false, % 22.36/3.23 inference(strict_predicate_extension, [assumptions([a8])], [c13, c14])). % 22.36/3.23 cnf(c16, plain, % 22.36/3.23 $false, % 22.36/3.23 inference(strict_predicate_extension, [assumptions([a8])], [c13, c14])). % 22.36/3.23 % 22.36/3.23 cnf(c17, plain, % 22.36/3.23 subpopulations(first_movers,efficient_producers,sK0,sK1)). % 22.36/3.23 cnf(a9, assumption, % 22.36/3.23 first_movers = first_movers). % 22.36/3.23 cnf(a10, assumption, % 22.36/3.23 efficient_producers = efficient_producers). % 22.36/3.23 cnf(a11, assumption, % 22.36/3.23 X5 = sK0). % 22.36/3.23 cnf(a12, assumption, % 22.36/3.23 X4 = sK1). % 22.36/3.23 cnf(c18, plain, % 22.36/3.23 ~environment(X5), % 22.36/3.23 inference(predicate_reduction, [assumptions([a9, a10, a11, a12])], [c12, c17])). % 22.36/3.23 % 22.36/3.23 cnf(c19, axiom, % 22.36/3.23 environment(sK0)). % 22.36/3.23 cnf(a13, assumption, % 22.36/3.23 X5 = sK0). % 22.36/3.23 cnf(c20, plain, % 22.36/3.23 $false, % 22.36/3.23 inference(strict_predicate_extension, [assumptions([a13])], [c18, c19])). % 22.36/3.23 cnf(c21, plain, % 22.36/3.23 $false, % 22.36/3.23 inference(strict_predicate_extension, [assumptions([a13])], [c18, c19])). % 22.36/3.23 % 22.36/3.23 cnf(c22, axiom, % 22.36/3.23 constant(resources(X7,X8)) | greater(equilibrium(X7),X8) | ~greater(number_of_organizations(X7,X8),zero) | ~in_environment(X7,X8) | ~environment(X7)). % 22.36/3.23 cnf(a14, assumption, % 22.36/3.23 equilibrium(X2) = equilibrium(X7)). % 22.36/3.23 cnf(a15, assumption, % 22.36/3.23 X3 = X8). % 22.36/3.23 cnf(c23, plain, % 22.36/3.23 ~in_environment(X2,X3) | ~environment(X2), % 22.36/3.23 inference(strict_predicate_extension, [assumptions([a14, a15])], [c9, c22])). % 22.36/3.23 cnf(c24, plain, % 22.36/3.23 constant(resources(X7,X8)) | ~greater(number_of_organizations(X7,X8),zero) | ~in_environment(X7,X8) | ~environment(X7), % 22.36/3.23 inference(strict_predicate_extension, [assumptions([a14, a15])], [c9, c22])). % 22.36/3.23 % 22.36/3.23 cnf(c25, axiom, % 22.36/3.23 ~decreases(difference(disbanding_rate(first_movers,X9),disbanding_rate(efficient_producers,X9))) | ~constant(resources(X10,X9)) | ~subpopulations(first_movers,efficient_producers,X10,X9) | ~environment(X10)). % 22.36/3.23 cnf(a16, assumption, % 22.36/3.23 resources(X7,X8) = resources(X10,X9)). % 22.36/3.23 cnf(c26, plain, % 22.36/3.23 ~greater(number_of_organizations(X7,X8),zero) | ~in_environment(X7,X8) | ~environment(X7), % 22.36/3.23 inference(strict_predicate_extension, [assumptions([a16])], [c24, c25])). % 22.36/3.23 cnf(c27, plain, % 22.36/3.23 ~decreases(difference(disbanding_rate(first_movers,X9),disbanding_rate(efficient_producers,X9))) | ~subpopulations(first_movers,efficient_producers,X10,X9) | ~environment(X10), % 22.36/3.23 inference(strict_predicate_extension, [assumptions([a16])], [c24, c25])). % 22.36/3.23 % 22.36/3.23 cnf(c28, plain, % 22.36/3.23 decreases(X6)). % 22.36/3.23 cnf(a17, assumption, % 22.36/3.23 difference(disbanding_rate(first_movers,X9),disbanding_rate(efficient_producers,X9)) = X6). % 22.36/3.23 cnf(c29, plain, % 22.36/3.23 ~subpopulations(first_movers,efficient_producers,X10,X9) | ~environment(X10), % 22.36/3.23 inference(predicate_reduction, [assumptions([a17])], [c27, c28])). % 22.36/3.23 % 22.36/3.23 cnf(c30, plain, % 22.36/3.23 subpopulations(first_movers,efficient_producers,sK0,sK1)). % 22.36/3.23 cnf(a18, assumption, % 22.36/3.23 first_movers = first_movers). % 22.36/3.23 cnf(a19, assumption, % 22.36/3.23 efficient_producers = efficient_producers). % 22.36/3.23 cnf(a20, assumption, % 22.36/3.23 X10 = sK0). % 22.36/3.23 cnf(a21, assumption, % 22.36/3.23 X9 = sK1). % 22.36/3.23 cnf(c31, plain, % 22.36/3.23 ~environment(X10), % 22.36/3.23 inference(predicate_reduction, [assumptions([a18, a19, a20, a21])], [c29, c30])). % 22.36/3.23 % 22.36/3.23 cnf(c32, plain, % 22.36/3.23 environment(X5)). % 22.36/3.23 cnf(a22, assumption, % 22.36/3.23 X10 = X5). % 22.36/3.23 cnf(c33, plain, % 22.36/3.23 $false, % 22.36/3.23 inference(predicate_reduction, [assumptions([a22])], [c31, c32])). % 22.36/3.23 % 22.36/3.23 cnf(c34, plain, % 22.36/3.23 greater(number_of_organizations(X0,X1),zero)). % 22.36/3.23 cnf(a23, assumption, % 22.36/3.23 number_of_organizations(X7,X8) = number_of_organizations(X0,X1)). % 22.36/3.23 cnf(a24, assumption, % 22.36/3.23 zero = zero). % 22.36/3.23 cnf(c35, plain, % 22.36/3.23 ~in_environment(X7,X8) | ~environment(X7), % 22.36/3.23 inference(predicate_reduction, [assumptions([a23, a24])], [c26, c34])). % 22.36/3.23 % 22.36/3.23 cnf(c36, axiom, % 22.36/3.23 in_environment(X11,X12) | ~subpopulations(first_movers,efficient_producers,X11,X12) | ~environment(X11)). % 22.36/3.23 cnf(a25, assumption, % 22.36/3.23 X7 = X11). % 22.36/3.23 cnf(a26, assumption, % 22.36/3.23 X8 = X12). % 22.36/3.23 cnf(c37, plain, % 22.36/3.23 ~environment(X7), % 22.36/3.23 inference(strict_predicate_extension, [assumptions([a25, a26])], [c35, c36])). % 22.36/3.23 cnf(c38, plain, % 22.36/3.23 ~subpopulations(first_movers,efficient_producers,X11,X12) | ~environment(X11), % 22.36/3.23 inference(strict_predicate_extension, [assumptions([a25, a26])], [c35, c36])). % 22.36/3.23 % 22.36/3.23 cnf(c39, plain, % 22.36/3.23 subpopulations(first_movers,efficient_producers,sK0,sK1)). % 22.36/3.23 cnf(a27, assumption, % 22.36/3.23 first_movers = first_movers). % 22.36/3.23 cnf(a28, assumption, % 22.36/3.23 efficient_producers = efficient_producers). % 22.36/3.23 cnf(a29, assumption, % 22.36/3.23 X11 = sK0). % 22.36/3.23 cnf(a30, assumption, % 22.36/3.23 X12 = sK1). % 22.36/3.23 cnf(c40, plain, % 22.36/3.23 ~environment(X11), % 22.36/3.23 inference(predicate_reduction, [assumptions([a27, a28, a29, a30])], [c38, c39])). % 22.36/3.23 % 22.36/3.23 cnf(c41, plain, % 22.36/3.23 environment(X5)). % 22.36/3.23 cnf(a31, assumption, % 22.36/3.23 X11 = X5). % 22.36/3.23 cnf(c42, plain, % 22.36/3.23 $false, % 22.36/3.23 inference(predicate_reduction, [assumptions([a31])], [c40, c41])). % 22.36/3.23 % 22.36/3.23 cnf(c43, plain, % 22.36/3.23 environment(X5)). % 22.36/3.23 cnf(a32, assumption, % 22.36/3.23 X7 = X5). % 22.36/3.23 cnf(c44, plain, % 22.36/3.23 $false, % 22.36/3.23 inference(predicate_reduction, [assumptions([a32])], [c37, c43])). % 22.36/3.23 % 22.36/3.23 cnf(c45, plain, % 22.36/3.23 in_environment(X7,X8)). % 22.36/3.23 cnf(a33, assumption, % 22.36/3.23 X2 = X7). % 22.36/3.23 cnf(a34, assumption, % 22.36/3.23 X3 = X8). % 22.36/3.23 cnf(c46, plain, % 22.36/3.23 ~environment(X2), % 22.36/3.23 inference(predicate_reduction, [assumptions([a33, a34])], [c23, c45])). % 22.36/3.23 % 22.36/3.23 cnf(c47, plain, % 22.36/3.23 environment(X5)). % 22.36/3.23 cnf(a35, assumption, % 22.36/3.23 X2 = X5). % 22.36/3.23 cnf(c48, plain, % 22.36/3.23 $false, % 22.36/3.23 inference(predicate_reduction, [assumptions([a35])], [c46, c47])). % 22.36/3.23 % 22.36/3.23 cnf(c49, plain, % 22.36/3.23 environment(X5)). % 22.36/3.23 cnf(a36, assumption, % 22.36/3.23 X0 = X5). % 22.36/3.23 cnf(c50, plain, % 22.36/3.23 $false, % 22.36/3.23 inference(predicate_reduction, [assumptions([a36])], [c6, c49])). % 22.36/3.23 % 22.36/3.23 cnf(c51, plain, % 22.36/3.23 $false, % 22.36/3.23 inference(constraint_solving, [ % 22.36/3.23 bind(X0, sK0), % 22.36/3.23 bind(X1, sK1), % 22.36/3.23 bind(X2, sK0), % 22.36/3.23 bind(X3, sK1), % 22.36/3.23 bind(X4, sK1), % 22.36/3.23 bind(X5, sK0), % 22.36/3.23 bind(X6, difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))), % 22.36/3.23 bind(X7, sK0), % 22.36/3.23 bind(X8, sK1), % 22.36/3.23 bind(X9, sK1), % 22.36/3.23 bind(X10, sK0), % 22.36/3.23 bind(X11, sK0), % 22.36/3.23 bind(X12, sK1) % 22.36/3.23 ], % 22.36/3.23 [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])). % 22.36/3.23 % 22.36/3.23 % SZS output end IncompleteProof %------------------------------------------------------------------------------