%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : ANA004-4 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 14 19:08:22 EDT 2022 % Result : Unsatisfiable 120.26s 15.56s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : ANA004-4 : TPTP v8.1.0. Released v1.0.0. % 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n028.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Fri Jul 8 07:06:54 EDT 2022 % 0.13/0.34 % CPUTime : % 120.26/15.56 % SZS status Unsatisfiable % 120.26/15.56 % SZS output begin IncompleteProof % 120.26/15.56 cnf(c0, axiom, % 120.26/15.56 ~less_or_equal(absolute(add(add(f(xs(X0)),negate(f(a_real_number))),add(g(xs(X0)),negate(g(a_real_number))))),epsilon_0) | less_or_equal(X0,n0)). % 120.26/15.56 cnf(c1, plain, % 120.26/15.56 ~less_or_equal(absolute(add(add(f(xs(X0)),negate(f(a_real_number))),add(g(xs(X0)),negate(g(a_real_number))))),epsilon_0) | less_or_equal(X0,n0), % 120.26/15.56 inference(start, [], [c0])). % 120.26/15.56 % 120.26/15.56 cnf(c2, axiom, % 120.26/15.56 less_or_equal(absolute(add(X1,X2)),X3) | ~less_or_equal(add(absolute(X1),absolute(X2)),X3)). % 120.26/15.56 cnf(a0, assumption, % 120.26/15.56 absolute(add(add(f(xs(X0)),negate(f(a_real_number))),add(g(xs(X0)),negate(g(a_real_number))))) = absolute(add(X1,X2))). % 120.26/15.56 cnf(a1, assumption, % 120.26/15.56 epsilon_0 = X3). % 120.26/15.56 cnf(c3, plain, % 120.26/15.56 less_or_equal(X0,n0), % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 120.26/15.56 cnf(c4, plain, % 120.26/15.56 ~less_or_equal(add(absolute(X1),absolute(X2)),X3), % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 120.26/15.56 % 120.26/15.56 cnf(c5, axiom, % 120.26/15.56 less_or_equal(add(X4,X5),X6) | ~less_or_equal(X5,half(X6)) | ~less_or_equal(X4,half(X6))). % 120.26/15.56 cnf(a2, assumption, % 120.26/15.56 add(absolute(X1),absolute(X2)) = add(X4,X5)). % 120.26/15.56 cnf(a3, assumption, % 120.26/15.56 X3 = X6). % 120.26/15.56 cnf(c6, plain, % 120.26/15.56 $false, % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 120.26/15.56 cnf(c7, plain, % 120.26/15.56 ~less_or_equal(X5,half(X6)) | ~less_or_equal(X4,half(X6)), % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 120.26/15.56 % 120.26/15.56 cnf(c8, axiom, % 120.26/15.56 less_or_equal(absolute(add(g(X7),negate(g(a_real_number)))),X8) | ~less_or_equal(absolute(add(X7,negate(a_real_number))),delta_2(X8)) | less_or_equal(X8,n0)). % 120.26/15.56 cnf(a4, assumption, % 120.26/15.56 X5 = absolute(add(g(X7),negate(g(a_real_number))))). % 120.26/15.56 cnf(a5, assumption, % 120.26/15.56 half(X6) = X8). % 120.26/15.56 cnf(c9, plain, % 120.26/15.56 ~less_or_equal(X4,half(X6)), % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 120.26/15.56 cnf(c10, plain, % 120.26/15.56 ~less_or_equal(absolute(add(X7,negate(a_real_number))),delta_2(X8)) | less_or_equal(X8,n0), % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 120.26/15.56 % 120.26/15.56 cnf(c11, axiom, % 120.26/15.56 less_or_equal(X9,X10) | ~less_or_equal(X9,minimum(X11,X10))). % 120.26/15.56 cnf(a6, assumption, % 120.26/15.56 absolute(add(X7,negate(a_real_number))) = X9). % 120.26/15.56 cnf(a7, assumption, % 120.26/15.56 delta_2(X8) = X10). % 120.26/15.56 cnf(c12, plain, % 120.26/15.56 less_or_equal(X8,n0), % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])). % 120.26/15.56 cnf(c13, plain, % 120.26/15.56 ~less_or_equal(X9,minimum(X11,X10)), % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])). % 120.26/15.56 % 120.26/15.56 cnf(c14, axiom, % 120.26/15.56 less_or_equal(absolute(add(xs(X12),negate(a_real_number))),X12) | less_or_equal(X12,n0)). % 120.26/15.56 cnf(a8, assumption, % 120.26/15.56 X9 = absolute(add(xs(X12),negate(a_real_number)))). % 120.26/15.56 cnf(a9, assumption, % 120.26/15.56 minimum(X11,X10) = X12). % 120.26/15.56 cnf(c15, plain, % 120.26/15.56 $false, % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])). % 120.26/15.56 cnf(c16, plain, % 120.26/15.56 less_or_equal(X12,n0), % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])). % 120.26/15.56 % 120.26/15.56 cnf(c17, axiom, % 120.26/15.56 ~less_or_equal(minimum(X13,X14),n0) | less_or_equal(X14,n0) | less_or_equal(X13,n0)). % 120.26/15.56 cnf(a10, assumption, % 120.26/15.56 X12 = minimum(X13,X14)). % 120.26/15.56 cnf(a11, assumption, % 120.26/15.56 n0 = n0). % 120.26/15.56 cnf(c18, plain, % 120.26/15.56 $false, % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])). % 120.26/15.56 cnf(c19, plain, % 120.26/15.56 less_or_equal(X14,n0) | less_or_equal(X13,n0), % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])). % 120.26/15.56 % 120.26/15.56 cnf(c20, axiom, % 120.26/15.56 ~less_or_equal(delta_2(X15),n0) | less_or_equal(X15,n0)). % 120.26/15.56 cnf(a12, assumption, % 120.26/15.56 X14 = delta_2(X15)). % 120.26/15.56 cnf(a13, assumption, % 120.26/15.56 n0 = n0). % 120.26/15.56 cnf(c21, plain, % 120.26/15.56 less_or_equal(X13,n0), % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])). % 120.26/15.56 cnf(c22, plain, % 120.26/15.56 less_or_equal(X15,n0), % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])). % 120.26/15.56 % 120.26/15.56 cnf(c23, axiom, % 120.26/15.56 ~less_or_equal(half(X16),n0) | less_or_equal(X16,n0)). % 120.26/15.56 cnf(a14, assumption, % 120.26/15.56 X15 = half(X16)). % 120.26/15.56 cnf(a15, assumption, % 120.26/15.56 n0 = n0). % 120.26/15.56 cnf(c24, plain, % 120.26/15.56 $false, % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])). % 120.26/15.56 cnf(c25, plain, % 120.26/15.56 less_or_equal(X16,n0), % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])). % 120.26/15.56 % 120.26/15.56 cnf(c26, axiom, % 120.26/15.56 ~less_or_equal(epsilon_0,n0)). % 120.26/15.56 cnf(a16, assumption, % 120.26/15.56 X16 = epsilon_0). % 120.26/15.56 cnf(a17, assumption, % 120.26/15.56 n0 = n0). % 120.26/15.56 cnf(c27, plain, % 120.26/15.56 $false, % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a16, a17])], [c25, c26])). % 120.26/15.56 cnf(c28, plain, % 120.26/15.56 $false, % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a16, a17])], [c25, c26])). % 120.26/15.56 % 120.26/15.56 cnf(c29, axiom, % 120.26/15.56 ~less_or_equal(delta_1(X17),n0) | less_or_equal(X17,n0)). % 120.26/15.56 cnf(a18, assumption, % 120.26/15.56 X13 = delta_1(X17)). % 120.26/15.56 cnf(a19, assumption, % 120.26/15.56 n0 = n0). % 120.26/15.56 cnf(c30, plain, % 120.26/15.56 $false, % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a18, a19])], [c21, c29])). % 120.26/15.56 cnf(c31, plain, % 120.26/15.56 less_or_equal(X17,n0), % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a18, a19])], [c21, c29])). % 120.26/15.56 % 120.26/15.56 cnf(c32, plain, % 120.26/15.56 ~less_or_equal(X15,n0)). % 120.26/15.56 cnf(a20, assumption, % 120.26/15.56 X17 = X15). % 120.26/15.56 cnf(a21, assumption, % 120.26/15.56 n0 = n0). % 120.26/15.56 cnf(c33, plain, % 120.26/15.56 $false, % 120.26/15.56 inference(predicate_reduction, [assumptions([a20, a21])], [c31, c32])). % 120.26/15.56 % 120.26/15.56 cnf(c34, plain, % 120.26/15.56 ~less_or_equal(X15,n0)). % 120.26/15.56 cnf(a22, assumption, % 120.26/15.56 X8 = X15). % 120.26/15.56 cnf(a23, assumption, % 120.26/15.56 n0 = n0). % 120.26/15.56 cnf(c35, plain, % 120.26/15.56 $false, % 120.26/15.56 inference(predicate_reduction, [assumptions([a22, a23])], [c12, c34])). % 120.26/15.56 % 120.26/15.56 cnf(c36, axiom, % 120.26/15.56 less_or_equal(absolute(add(f(X18),negate(f(a_real_number)))),X19) | ~less_or_equal(absolute(add(X18,negate(a_real_number))),delta_1(X19)) | less_or_equal(X19,n0)). % 120.26/15.56 cnf(a24, assumption, % 120.26/15.56 X4 = absolute(add(f(X18),negate(f(a_real_number))))). % 120.26/15.56 cnf(a25, assumption, % 120.26/15.56 half(X6) = X19). % 120.26/15.56 cnf(c37, plain, % 120.26/15.56 $false, % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a24, a25])], [c9, c36])). % 120.26/15.56 cnf(c38, plain, % 120.26/15.56 ~less_or_equal(absolute(add(X18,negate(a_real_number))),delta_1(X19)) | less_or_equal(X19,n0), % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a24, a25])], [c9, c36])). % 120.26/15.56 % 120.26/15.56 cnf(c39, axiom, % 120.26/15.56 less_or_equal(X20,X21) | ~less_or_equal(X20,minimum(X21,X22))). % 120.26/15.56 cnf(a26, assumption, % 120.26/15.56 absolute(add(X18,negate(a_real_number))) = X20). % 120.26/15.56 cnf(a27, assumption, % 120.26/15.56 delta_1(X19) = X21). % 120.26/15.56 cnf(c40, plain, % 120.26/15.56 less_or_equal(X19,n0), % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a26, a27])], [c38, c39])). % 120.26/15.56 cnf(c41, plain, % 120.26/15.56 ~less_or_equal(X20,minimum(X21,X22)), % 120.26/15.56 inference(strict_predicate_extension, [assumptions([a26, a27])], [c38, c39])). % 120.26/15.56 % 120.26/15.56 cnf(c42, plain, % 120.26/15.56 less_or_equal(X9,minimum(X11,X10))). % 120.26/15.56 cnf(a28, assumption, % 120.26/15.56 X20 = X9). % 120.26/15.56 cnf(a29, assumption, % 120.26/15.56 minimum(X21,X22) = minimum(X11,X10)). % 120.26/15.56 cnf(c43, plain, % 120.26/15.56 $false, % 120.26/15.56 inference(predicate_reduction, [assumptions([a28, a29])], [c41, c42])). % 120.26/15.56 % 120.26/15.56 cnf(c44, plain, % 120.26/15.56 ~less_or_equal(X15,n0)). % 120.26/15.56 cnf(a30, assumption, % 120.26/15.56 X19 = X15). % 120.26/15.56 cnf(a31, assumption, % 120.26/15.56 n0 = n0). % 120.26/15.56 cnf(c45, plain, % 120.26/15.56 $false, % 120.26/15.56 inference(predicate_reduction, [assumptions([a30, a31])], [c40, c44])). % 120.26/15.56 % 120.26/15.56 cnf(c46, plain, % 120.26/15.56 ~less_or_equal(X12,n0)). % 120.26/15.56 cnf(a32, assumption, % 120.26/15.56 X0 = X12). % 120.26/15.56 cnf(a33, assumption, % 120.26/15.56 n0 = n0). % 120.26/15.56 cnf(c47, plain, % 120.26/15.56 $false, % 120.26/15.56 inference(predicate_reduction, [assumptions([a32, a33])], [c3, c46])). % 120.26/15.56 % 120.26/15.56 cnf(c48, plain, % 120.26/15.56 $false, % 120.26/15.56 inference(constraint_solving, [ % 120.26/15.56 bind(X0, minimum(X11,X10)), % 120.26/15.56 bind(X1, add(f(xs(X0)),negate(f(a_real_number)))), % 120.26/15.56 bind(X2, add(g(xs(X0)),negate(g(a_real_number)))), % 120.26/15.56 bind(X3, epsilon_0), % 120.26/15.56 bind(X4, absolute(X1)), % 120.26/15.56 bind(X5, absolute(X2)), % 120.26/15.56 bind(X6, epsilon_0), % 120.26/15.56 bind(X7, xs(X0)), % 120.26/15.56 bind(X8, half(X6)), % 120.26/15.56 bind(X9, absolute(add(X7,negate(a_real_number)))), % 120.26/15.56 bind(X10, delta_2(X8)), % 120.26/15.56 bind(X11, delta_1(X17)), % 120.26/15.56 bind(X12, minimum(X11,X10)), % 120.26/15.56 bind(X13, delta_1(X17)), % 120.26/15.56 bind(X14, delta_2(X8)), % 120.26/15.56 bind(X15, half(X6)), % 120.26/15.56 bind(X16, epsilon_0), % 120.26/15.56 bind(X17, half(X6)), % 120.26/15.56 bind(X18, xs(X0)), % 120.26/15.56 bind(X19, half(X6)), % 120.26/15.56 bind(X20, absolute(add(X18,negate(a_real_number)))), % 120.26/15.56 bind(X21, delta_1(X19)), % 120.26/15.56 bind(X22, delta_2(X8)) % 120.26/15.56 ], % 120.26/15.56 [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])). % 120.26/15.56 % 120.26/15.56 % SZS output end IncompleteProof %------------------------------------------------------------------------------