%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : MGT023+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 : n004.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 0.14s 0.38s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT023+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 % 0.08/0.35 % Computer : n004.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Mon Sep 7 12:05:45 UTC 2026 % 0.08/0.36 % CPUTime : % 0.14/0.38 % SZS status Theorem % 0.14/0.38 % SZS output begin IncompleteProof % 0.14/0.38 cnf(c0, axiom, % 0.14/0.38 environment(sK4)). % 0.14/0.38 cnf(c1, plain, % 0.14/0.38 environment(sK4), % 0.14/0.38 inference(start, [], [c0])). % 0.14/0.38 % 0.14/0.38 cnf(c2, axiom, % 0.14/0.38 sP1(X0) | ~stable(X0) | ~environment(X0)). % 0.14/0.38 cnf(a0, assumption, % 0.14/0.38 sK4 = X0). % 0.14/0.38 cnf(c3, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.14/0.38 cnf(c4, plain, % 0.14/0.38 sP1(X0) | ~stable(X0), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.14/0.38 % 0.14/0.38 cnf(c5, axiom, % 0.14/0.38 in_environment(X1,sK3(X1)) | ~sP1(X1)). % 0.14/0.38 cnf(a1, assumption, % 0.14/0.38 X0 = X1). % 0.14/0.38 cnf(c6, plain, % 0.14/0.38 ~stable(X0), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.14/0.38 cnf(c7, plain, % 0.14/0.38 in_environment(X1,sK3(X1)), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.14/0.38 % 0.14/0.38 cnf(c8, axiom, % 0.14/0.38 critical_point(X2) = X3 | sP0(X3,X2) | ~in_environment(X2,X3) | greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) | ~environment(X2)). % 0.14/0.38 cnf(a2, assumption, % 0.14/0.38 X1 = X2). % 0.14/0.38 cnf(a3, assumption, % 0.14/0.38 sK3(X1) = X3). % 0.14/0.38 cnf(c9, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a2, a3])], [c7, c8])). % 0.14/0.38 cnf(c10, plain, % 0.14/0.38 critical_point(X2) = X3 | sP0(X3,X2) | greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) | ~environment(X2), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a2, a3])], [c7, c8])). % 0.14/0.38 % 0.14/0.38 cnf(c11, plain, % 0.14/0.38 in_environment(X1,sK3(X1))). % 0.14/0.38 cnf(a4, assumption, % 0.14/0.38 sK3(X1) = X3). % 0.14/0.38 cnf(a5, assumption, % 0.14/0.38 critical_point(X2) = X4). % 0.14/0.38 cnf(c12, plain, % 0.14/0.38 sP0(X3,X2) | greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) | ~environment(X2), % 0.14/0.38 inference(subterm_reduction, [assumptions([a4, a5])], [c10, c11])). % 0.14/0.38 cnf(c13, plain, % 0.14/0.38 in_environment(X1,X4), % 0.14/0.38 inference(subterm_reduction, [assumptions([a4, a5])], [c10, c11])). % 0.14/0.38 % 0.14/0.38 cnf(c14, axiom, % 0.14/0.38 ~in_environment(sK4,critical_point(sK4))). % 0.14/0.38 cnf(a6, assumption, % 0.14/0.38 X1 = sK4). % 0.14/0.38 cnf(a7, assumption, % 0.14/0.38 X4 = critical_point(sK4)). % 0.14/0.38 cnf(c15, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a6, a7])], [c13, c14])). % 0.14/0.38 cnf(c16, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a6, a7])], [c13, c14])). % 0.14/0.38 % 0.14/0.38 cnf(c17, axiom, % 0.14/0.38 subpopulations(first_movers,efficient_producers,X5,sK2(X6,X5)) | ~sP0(X6,X5)). % 0.14/0.38 cnf(a8, assumption, % 0.14/0.38 X3 = X6). % 0.14/0.38 cnf(a9, assumption, % 0.14/0.38 X2 = X5). % 0.14/0.38 cnf(c18, plain, % 0.14/0.38 greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) | ~environment(X2), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c17])). % 0.14/0.38 cnf(c19, plain, % 0.14/0.38 subpopulations(first_movers,efficient_producers,X5,sK2(X6,X5)), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c17])). % 0.14/0.38 % 0.14/0.38 cnf(c20, axiom, % 0.14/0.38 greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7)) | ~greater(X7,sK3(X8)) | ~subpopulations(first_movers,efficient_producers,X8,X7) | ~sP1(X8)). % 0.14/0.38 cnf(a10, assumption, % 0.14/0.38 first_movers = first_movers). % 0.14/0.38 cnf(a11, assumption, % 0.14/0.38 efficient_producers = efficient_producers). % 0.14/0.38 cnf(a12, assumption, % 0.14/0.38 X5 = X8). % 0.14/0.38 cnf(a13, assumption, % 0.14/0.38 sK2(X6,X5) = X7). % 0.14/0.38 cnf(c21, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a10, a11, a12, a13])], [c19, c20])). % 0.14/0.38 cnf(c22, plain, % 0.14/0.38 greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7)) | ~greater(X7,sK3(X8)) | ~sP1(X8), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a10, a11, a12, a13])], [c19, c20])). % 0.14/0.38 % 0.14/0.38 cnf(c23, axiom, % 0.14/0.38 ~greater(growth_rate(efficient_producers,sK2(X9,X10)),growth_rate(first_movers,sK2(X9,X10))) | ~sP0(X9,X10)). % 0.14/0.38 cnf(a14, assumption, % 0.14/0.38 growth_rate(efficient_producers,X7) = growth_rate(efficient_producers,sK2(X9,X10))). % 0.14/0.38 cnf(a15, assumption, % 0.14/0.38 growth_rate(first_movers,X7) = growth_rate(first_movers,sK2(X9,X10))). % 0.14/0.38 cnf(c24, plain, % 0.14/0.38 ~greater(X7,sK3(X8)) | ~sP1(X8), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])). % 0.14/0.38 cnf(c25, plain, % 0.14/0.38 ~sP0(X9,X10), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])). % 0.14/0.38 % 0.14/0.38 cnf(c26, plain, % 0.14/0.38 sP0(X3,X2)). % 0.14/0.38 cnf(a16, assumption, % 0.14/0.38 X9 = X3). % 0.14/0.38 cnf(a17, assumption, % 0.14/0.38 X10 = X2). % 0.14/0.38 cnf(c27, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(predicate_reduction, [assumptions([a16, a17])], [c25, c26])). % 0.14/0.38 % 0.14/0.38 cnf(c28, axiom, % 0.14/0.38 greater(sK2(X11,X12),X11) | ~sP0(X11,X12)). % 0.14/0.38 cnf(a18, assumption, % 0.14/0.38 X7 = sK2(X11,X12)). % 0.14/0.38 cnf(a19, assumption, % 0.14/0.38 sK3(X8) = X11). % 0.14/0.38 cnf(c29, plain, % 0.14/0.38 ~sP1(X8), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a18, a19])], [c24, c28])). % 0.14/0.38 cnf(c30, plain, % 0.14/0.38 ~sP0(X11,X12), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a18, a19])], [c24, c28])). % 0.14/0.38 % 0.14/0.38 cnf(c31, plain, % 0.14/0.38 sP0(X3,X2)). % 0.14/0.38 cnf(a20, assumption, % 0.14/0.38 X11 = X3). % 0.14/0.38 cnf(a21, assumption, % 0.14/0.38 X12 = X2). % 0.14/0.38 cnf(c32, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(predicate_reduction, [assumptions([a20, a21])], [c30, c31])). % 0.14/0.38 % 0.14/0.38 cnf(c33, plain, % 0.14/0.38 sP1(X0)). % 0.14/0.38 cnf(a22, assumption, % 0.14/0.38 X8 = X0). % 0.14/0.38 cnf(c34, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(predicate_reduction, [assumptions([a22])], [c29, c33])). % 0.14/0.38 % 0.14/0.38 cnf(c35, axiom, % 0.14/0.38 ~greater(growth_rate(efficient_producers,sK3(X13)),growth_rate(first_movers,sK3(X13))) | ~sP1(X13)). % 0.14/0.38 cnf(a23, assumption, % 0.14/0.38 growth_rate(efficient_producers,X3) = growth_rate(efficient_producers,sK3(X13))). % 0.14/0.38 cnf(a24, assumption, % 0.14/0.38 growth_rate(first_movers,X3) = growth_rate(first_movers,sK3(X13))). % 0.14/0.38 cnf(c36, plain, % 0.14/0.38 ~environment(X2), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a23, a24])], [c18, c35])). % 0.14/0.38 cnf(c37, plain, % 0.14/0.38 ~sP1(X13), % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a23, a24])], [c18, c35])). % 0.14/0.38 % 0.14/0.38 cnf(c38, plain, % 0.14/0.38 sP1(X0)). % 0.14/0.38 cnf(a25, assumption, % 0.14/0.38 X13 = X0). % 0.14/0.38 cnf(c39, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(predicate_reduction, [assumptions([a25])], [c37, c38])). % 0.14/0.38 % 0.14/0.38 cnf(c40, plain, % 0.14/0.38 environment(sK4)). % 0.14/0.38 cnf(a26, assumption, % 0.14/0.38 X2 = sK4). % 0.14/0.38 cnf(c41, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(predicate_reduction, [assumptions([a26])], [c36, c40])). % 0.14/0.38 % 0.14/0.38 cnf(c42, axiom, % 0.14/0.38 stable(sK4)). % 0.14/0.38 cnf(a27, assumption, % 0.14/0.38 X0 = sK4). % 0.14/0.38 cnf(c43, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a27])], [c6, c42])). % 0.14/0.38 cnf(c44, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(strict_predicate_extension, [assumptions([a27])], [c6, c42])). % 0.14/0.38 % 0.14/0.38 cnf(c45, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(constraint_solving, [ % 0.14/0.38 bind(X0, sK4), % 0.14/0.38 bind(X1, sK4), % 0.14/0.38 bind(X2, sK4), % 0.14/0.38 bind(X3, sK3(X1)), % 0.14/0.38 bind(X4, critical_point(X2)), % 0.14/0.38 bind(X5, sK4), % 0.14/0.38 bind(X6, sK3(X1)), % 0.14/0.38 bind(X7, sK2(X6,X5)), % 0.14/0.38 bind(X8, sK4), % 0.14/0.38 bind(X9, sK3(X1)), % 0.14/0.38 bind(X10, sK4), % 0.14/0.38 bind(X11, sK3(X1)), % 0.14/0.38 bind(X12, sK4), % 0.14/0.38 bind(X13, sK4) % 0.14/0.38 ], % 0.14/0.38 [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])). % 0.14/0.38 % 0.14/0.38 % SZS output end IncompleteProof %------------------------------------------------------------------------------