%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : MGT036+3 : 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 0.09s 0.37s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT036+3 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.03 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.09/0.36 % Computer : n007.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Mon Sep 7 12:39:56 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.37 % SZS status Theorem % 0.09/0.37 % SZS output begin IncompleteProof % 0.09/0.37 cnf(c0, axiom, % 0.09/0.37 ~outcompetes(first_movers,efficient_producers,X0) | ~subpopulations(first_movers,efficient_producers,X1,X0) | ~environment(X1)). % 0.09/0.37 cnf(c1, plain, % 0.09/0.37 ~outcompetes(first_movers,efficient_producers,X0) | ~subpopulations(first_movers,efficient_producers,X1,X0) | ~environment(X1), % 0.09/0.37 inference(start, [], [c0])). % 0.09/0.37 % 0.09/0.37 cnf(c2, axiom, % 0.09/0.37 outcompetes(X2,X3,X4) | ~sP0(X4,X3,X2) | ~sP1(X4,X3,X2)). % 0.09/0.37 cnf(a0, assumption, % 0.09/0.37 first_movers = X2). % 0.09/0.37 cnf(a1, assumption, % 0.09/0.37 efficient_producers = X3). % 0.09/0.37 cnf(a2, assumption, % 0.09/0.37 X0 = X4). % 0.09/0.37 cnf(c3, plain, % 0.09/0.37 ~subpopulations(first_movers,efficient_producers,X1,X0) | ~environment(X1), % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.09/0.37 cnf(c4, plain, % 0.09/0.37 ~sP0(X4,X3,X2) | ~sP1(X4,X3,X2), % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.09/0.37 % 0.09/0.37 cnf(c5, axiom, % 0.09/0.37 sP0(X5,X6,X7) | ~greater(zero,growth_rate(X6,X5)) | ~greater_or_equal(growth_rate(X7,X5),zero)). % 0.09/0.37 cnf(a3, assumption, % 0.09/0.37 X4 = X5). % 0.09/0.37 cnf(a4, assumption, % 0.09/0.37 X3 = X6). % 0.09/0.37 cnf(a5, assumption, % 0.09/0.37 X2 = X7). % 0.09/0.37 cnf(c6, plain, % 0.09/0.37 ~sP1(X4,X3,X2), % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.09/0.37 cnf(c7, plain, % 0.09/0.37 ~greater(zero,growth_rate(X6,X5)) | ~greater_or_equal(growth_rate(X7,X5),zero), % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.09/0.37 % 0.09/0.37 cnf(c8, axiom, % 0.09/0.37 greater(zero,growth_rate(efficient_producers,sK3))). % 0.09/0.37 cnf(a6, assumption, % 0.09/0.37 zero = zero). % 0.09/0.37 cnf(a7, assumption, % 0.09/0.37 growth_rate(X6,X5) = growth_rate(efficient_producers,sK3)). % 0.09/0.37 cnf(c9, plain, % 0.09/0.37 ~greater_or_equal(growth_rate(X7,X5),zero), % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a6, a7])], [c7, c8])). % 0.09/0.37 cnf(c10, plain, % 0.09/0.37 $false, % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a6, a7])], [c7, c8])). % 0.09/0.37 % 0.09/0.37 cnf(c11, axiom, % 0.09/0.37 greater_or_equal(growth_rate(first_movers,sK3),zero)). % 0.09/0.37 cnf(a8, assumption, % 0.09/0.37 growth_rate(X7,X5) = growth_rate(first_movers,sK3)). % 0.09/0.37 cnf(a9, assumption, % 0.09/0.37 zero = zero). % 0.09/0.37 cnf(c12, plain, % 0.09/0.37 $false, % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a8, a9])], [c9, c11])). % 0.09/0.37 cnf(c13, plain, % 0.09/0.37 $false, % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a8, a9])], [c9, c11])). % 0.09/0.37 % 0.09/0.37 cnf(c14, axiom, % 0.09/0.37 sP1(X8,X9,X10) | ~subpopulations(X9,X10,X11,X8) | ~environment(X11)). % 0.09/0.37 cnf(a10, assumption, % 0.09/0.37 X4 = X8). % 0.09/0.37 cnf(a11, assumption, % 0.09/0.37 X3 = X9). % 0.09/0.37 cnf(a12, assumption, % 0.09/0.37 X2 = X10). % 0.09/0.37 cnf(c15, plain, % 0.09/0.37 $false, % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c6, c14])). % 0.09/0.37 cnf(c16, plain, % 0.09/0.37 ~subpopulations(X9,X10,X11,X8) | ~environment(X11), % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c6, c14])). % 0.09/0.37 % 0.09/0.37 cnf(c17, axiom, % 0.09/0.37 subpopulations(X12,X13,X14,X15) | ~subpopulations(X13,X12,X14,X15) | ~environment(X14)). % 0.09/0.37 cnf(a13, assumption, % 0.09/0.37 X9 = X12). % 0.09/0.37 cnf(a14, assumption, % 0.09/0.37 X10 = X13). % 0.09/0.37 cnf(a15, assumption, % 0.09/0.37 X11 = X14). % 0.09/0.37 cnf(a16, assumption, % 0.09/0.37 X8 = X15). % 0.09/0.37 cnf(c18, plain, % 0.09/0.37 ~environment(X11), % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a13, a14, a15, a16])], [c16, c17])). % 0.09/0.37 cnf(c19, plain, % 0.09/0.37 ~subpopulations(X13,X12,X14,X15) | ~environment(X14), % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a13, a14, a15, a16])], [c16, c17])). % 0.09/0.37 % 0.09/0.37 cnf(c20, axiom, % 0.09/0.37 subpopulations(first_movers,efficient_producers,sK2,sK3)). % 0.09/0.37 cnf(a17, assumption, % 0.09/0.37 X13 = first_movers). % 0.09/0.37 cnf(a18, assumption, % 0.09/0.37 X12 = efficient_producers). % 0.09/0.37 cnf(a19, assumption, % 0.09/0.37 X14 = sK2). % 0.09/0.37 cnf(a20, assumption, % 0.09/0.37 X15 = sK3). % 0.09/0.37 cnf(c21, plain, % 0.09/0.37 ~environment(X14), % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a17, a18, a19, a20])], [c19, c20])). % 0.09/0.37 cnf(c22, plain, % 0.09/0.37 $false, % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a17, a18, a19, a20])], [c19, c20])). % 0.09/0.37 % 0.09/0.37 cnf(c23, axiom, % 0.09/0.37 environment(sK2)). % 0.09/0.37 cnf(a21, assumption, % 0.09/0.37 X14 = sK2). % 0.09/0.37 cnf(c24, plain, % 0.09/0.37 $false, % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a21])], [c21, c23])). % 0.09/0.37 cnf(c25, plain, % 0.09/0.37 $false, % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a21])], [c21, c23])). % 0.09/0.37 % 0.09/0.37 cnf(c26, plain, % 0.09/0.37 environment(X14)). % 0.09/0.37 cnf(a22, assumption, % 0.09/0.37 X11 = X14). % 0.09/0.37 cnf(c27, plain, % 0.09/0.37 $false, % 0.09/0.37 inference(predicate_reduction, [assumptions([a22])], [c18, c26])). % 0.09/0.37 % 0.09/0.37 cnf(c28, plain, % 0.09/0.37 subpopulations(X13,X12,X14,X15)). % 0.09/0.37 cnf(a23, assumption, % 0.09/0.37 first_movers = X13). % 0.09/0.37 cnf(a24, assumption, % 0.09/0.37 efficient_producers = X12). % 0.09/0.37 cnf(a25, assumption, % 0.09/0.37 X1 = X14). % 0.09/0.37 cnf(a26, assumption, % 0.09/0.37 X0 = X15). % 0.09/0.37 cnf(c29, plain, % 0.09/0.37 ~environment(X1), % 0.09/0.37 inference(predicate_reduction, [assumptions([a23, a24, a25, a26])], [c3, c28])). % 0.09/0.37 % 0.09/0.37 cnf(c30, plain, % 0.09/0.37 environment(X14)). % 0.09/0.37 cnf(a27, assumption, % 0.09/0.37 X1 = X14). % 0.09/0.37 cnf(c31, plain, % 0.09/0.37 $false, % 0.09/0.37 inference(predicate_reduction, [assumptions([a27])], [c29, c30])). % 0.09/0.37 % 0.09/0.37 cnf(c32, plain, % 0.09/0.37 $false, % 0.09/0.37 inference(constraint_solving, [ % 0.09/0.37 bind(X0, sK3), % 0.09/0.37 bind(X1, sK2), % 0.09/0.37 bind(X2, first_movers), % 0.09/0.37 bind(X3, efficient_producers), % 0.09/0.37 bind(X4, sK3), % 0.09/0.37 bind(X5, sK3), % 0.09/0.37 bind(X6, efficient_producers), % 0.09/0.37 bind(X7, first_movers), % 0.09/0.37 bind(X8, sK3), % 0.09/0.37 bind(X9, efficient_producers), % 0.09/0.37 bind(X10, first_movers), % 0.09/0.37 bind(X11, sK2), % 0.09/0.37 bind(X12, efficient_producers), % 0.09/0.37 bind(X13, first_movers), % 0.09/0.37 bind(X14, sK2), % 0.09/0.37 bind(X15, sK3) % 0.09/0.37 ], % 0.09/0.37 [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])). % 0.09/0.37 % 0.09/0.37 % SZS output end IncompleteProof %------------------------------------------------------------------------------