%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : NUM317+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n021.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 : Mon Jul 18 11:32:07 EDT 2022 % Result : Theorem 5.27s 1.12s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM317+1 : TPTP v8.1.0. Released v3.1.0. % 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.34 % Computer : n021.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Wed Jul 6 12:48:48 EDT 2022 % 0.12/0.34 % CPUTime : % 5.27/1.12 % SZS status Theorem % 5.27/1.12 % SZS output begin IncompleteProof % 5.27/1.12 cnf(c0, axiom, % 5.27/1.12 ~sum(n5,nn2,n3)). % 5.27/1.12 cnf(c1, plain, % 5.27/1.12 ~sum(n5,nn2,n3), % 5.27/1.12 inference(start, [], [c0])). % 5.27/1.12 % 5.27/1.12 cnf(c2, axiom, % 5.27/1.12 sum(X0,X1,X2) | ~rdn_translate(X2,rdn_pos(X3)) | ~rdn_add_with_carry(rdnn(n0),X4,X3,X5) | ~rdn_positive_less(X4,X5) | ~rdn_translate(X1,rdn_neg(X4)) | ~rdn_translate(X0,rdn_pos(X5))). % 5.27/1.12 cnf(a0, assumption, % 5.27/1.12 n5 = X0). % 5.27/1.12 cnf(a1, assumption, % 5.27/1.12 nn2 = X1). % 5.27/1.12 cnf(a2, assumption, % 5.27/1.12 n3 = X2). % 5.27/1.12 cnf(c3, plain, % 5.27/1.12 $false, % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 5.27/1.12 cnf(c4, plain, % 5.27/1.12 ~rdn_translate(X2,rdn_pos(X3)) | ~rdn_add_with_carry(rdnn(n0),X4,X3,X5) | ~rdn_positive_less(X4,X5) | ~rdn_translate(X1,rdn_neg(X4)) | ~rdn_translate(X0,rdn_pos(X5)), % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 5.27/1.12 % 5.27/1.12 cnf(c5, axiom, % 5.27/1.12 rdn_translate(n3,rdn_pos(rdnn(n3)))). % 5.27/1.12 cnf(a3, assumption, % 5.27/1.12 X2 = n3). % 5.27/1.12 cnf(a4, assumption, % 5.27/1.12 rdn_pos(X3) = rdn_pos(rdnn(n3))). % 5.27/1.12 cnf(c6, plain, % 5.27/1.12 ~rdn_add_with_carry(rdnn(n0),X4,X3,X5) | ~rdn_positive_less(X4,X5) | ~rdn_translate(X1,rdn_neg(X4)) | ~rdn_translate(X0,rdn_pos(X5)), % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 5.27/1.12 cnf(c7, plain, % 5.27/1.12 $false, % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 5.27/1.12 % 5.27/1.12 cnf(c8, axiom, % 5.27/1.12 rdn_add_with_carry(rdnn(X6),rdnn(X7),rdnn(X8),rdnn(X9)) | ~rdn_digit_add(rdnn(X10),rdnn(X6),rdnn(X9),rdnn(n0)) | ~rdn_digit_add(rdnn(X7),rdnn(X8),rdnn(X10),rdnn(n0))). % 5.27/1.12 cnf(a5, assumption, % 5.27/1.12 rdnn(n0) = rdnn(X6)). % 5.27/1.12 cnf(a6, assumption, % 5.27/1.12 X4 = rdnn(X7)). % 5.27/1.12 cnf(a7, assumption, % 5.27/1.12 X3 = rdnn(X8)). % 5.27/1.12 cnf(a8, assumption, % 5.27/1.12 X5 = rdnn(X9)). % 5.27/1.12 cnf(c9, plain, % 5.27/1.12 ~rdn_positive_less(X4,X5) | ~rdn_translate(X1,rdn_neg(X4)) | ~rdn_translate(X0,rdn_pos(X5)), % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a5, a6, a7, a8])], [c6, c8])). % 5.27/1.12 cnf(c10, plain, % 5.27/1.12 ~rdn_digit_add(rdnn(X10),rdnn(X6),rdnn(X9),rdnn(n0)) | ~rdn_digit_add(rdnn(X7),rdnn(X8),rdnn(X10),rdnn(n0)), % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a5, a6, a7, a8])], [c6, c8])). % 5.27/1.12 % 5.27/1.12 cnf(c11, axiom, % 5.27/1.12 rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0))). % 5.27/1.12 cnf(a9, assumption, % 5.27/1.12 rdnn(X10) = rdnn(n5)). % 5.27/1.12 cnf(a10, assumption, % 5.27/1.12 rdnn(X6) = rdnn(n0)). % 5.27/1.12 cnf(a11, assumption, % 5.27/1.12 rdnn(X9) = rdnn(n5)). % 5.27/1.12 cnf(a12, assumption, % 5.27/1.12 rdnn(n0) = rdnn(n0)). % 5.27/1.12 cnf(c12, plain, % 5.27/1.12 ~rdn_digit_add(rdnn(X7),rdnn(X8),rdnn(X10),rdnn(n0)), % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a9, a10, a11, a12])], [c10, c11])). % 5.27/1.12 cnf(c13, plain, % 5.27/1.12 $false, % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a9, a10, a11, a12])], [c10, c11])). % 5.27/1.12 % 5.27/1.12 cnf(c14, axiom, % 5.27/1.12 rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0))). % 5.27/1.12 cnf(a13, assumption, % 5.27/1.12 rdnn(X7) = rdnn(n2)). % 5.27/1.12 cnf(a14, assumption, % 5.27/1.12 rdnn(X8) = rdnn(n3)). % 5.27/1.12 cnf(a15, assumption, % 5.27/1.12 rdnn(X10) = rdnn(n5)). % 5.27/1.12 cnf(a16, assumption, % 5.27/1.12 rdnn(n0) = rdnn(n0)). % 5.27/1.12 cnf(c15, plain, % 5.27/1.12 $false, % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a13, a14, a15, a16])], [c12, c14])). % 5.27/1.12 cnf(c16, plain, % 5.27/1.12 $false, % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a13, a14, a15, a16])], [c12, c14])). % 5.27/1.12 % 5.27/1.12 cnf(c17, axiom, % 5.27/1.12 rdn_positive_less(rdnn(X11),rdnn(X12)) | ~rdn_positive_less(rdnn(X13),rdnn(X12)) | ~rdn_positive_less(rdnn(X11),rdnn(X13))). % 5.27/1.12 cnf(a17, assumption, % 5.27/1.12 X4 = rdnn(X11)). % 5.27/1.12 cnf(a18, assumption, % 5.27/1.12 X5 = rdnn(X12)). % 5.27/1.12 cnf(c18, plain, % 5.27/1.12 ~rdn_translate(X1,rdn_neg(X4)) | ~rdn_translate(X0,rdn_pos(X5)), % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a17, a18])], [c9, c17])). % 5.27/1.12 cnf(c19, plain, % 5.27/1.12 ~rdn_positive_less(rdnn(X13),rdnn(X12)) | ~rdn_positive_less(rdnn(X11),rdnn(X13)), % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a17, a18])], [c9, c17])). % 5.27/1.12 % 5.27/1.12 cnf(c20, axiom, % 5.27/1.12 rdn_positive_less(rdnn(X14),rdnn(X15)) | ~rdn_positive_less(rdnn(X16),rdnn(X15)) | ~rdn_positive_less(rdnn(X14),rdnn(X16))). % 5.27/1.12 cnf(a19, assumption, % 5.27/1.12 rdnn(X13) = rdnn(X14)). % 5.27/1.12 cnf(a20, assumption, % 5.27/1.12 rdnn(X12) = rdnn(X15)). % 5.27/1.12 cnf(c21, plain, % 5.27/1.12 ~rdn_positive_less(rdnn(X11),rdnn(X13)), % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a19, a20])], [c19, c20])). % 5.27/1.12 cnf(c22, plain, % 5.27/1.12 ~rdn_positive_less(rdnn(X16),rdnn(X15)) | ~rdn_positive_less(rdnn(X14),rdnn(X16)), % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a19, a20])], [c19, c20])). % 5.27/1.12 % 5.27/1.12 cnf(c23, axiom, % 5.27/1.12 rdn_positive_less(rdnn(n4),rdnn(n5))). % 5.27/1.12 cnf(a21, assumption, % 5.27/1.12 rdnn(X16) = rdnn(n4)). % 5.27/1.12 cnf(a22, assumption, % 5.27/1.12 rdnn(X15) = rdnn(n5)). % 5.27/1.12 cnf(c24, plain, % 5.27/1.12 ~rdn_positive_less(rdnn(X14),rdnn(X16)), % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a21, a22])], [c22, c23])). % 5.27/1.12 cnf(c25, plain, % 5.27/1.12 $false, % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a21, a22])], [c22, c23])). % 5.27/1.12 % 5.27/1.12 cnf(c26, axiom, % 5.27/1.12 rdn_positive_less(rdnn(n3),rdnn(n4))). % 5.27/1.12 cnf(a23, assumption, % 5.27/1.12 rdnn(X14) = rdnn(n3)). % 5.27/1.12 cnf(a24, assumption, % 5.27/1.12 rdnn(X16) = rdnn(n4)). % 5.27/1.12 cnf(c27, plain, % 5.27/1.12 $false, % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a23, a24])], [c24, c26])). % 5.27/1.12 cnf(c28, plain, % 5.27/1.12 $false, % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a23, a24])], [c24, c26])). % 5.27/1.12 % 5.27/1.12 cnf(c29, axiom, % 5.27/1.12 rdn_positive_less(rdnn(n2),rdnn(n3))). % 5.27/1.12 cnf(a25, assumption, % 5.27/1.12 rdnn(X11) = rdnn(n2)). % 5.27/1.12 cnf(a26, assumption, % 5.27/1.12 rdnn(X13) = rdnn(n3)). % 5.27/1.12 cnf(c30, plain, % 5.27/1.12 $false, % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a25, a26])], [c21, c29])). % 5.27/1.12 cnf(c31, plain, % 5.27/1.12 $false, % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a25, a26])], [c21, c29])). % 5.27/1.12 % 5.27/1.12 cnf(c32, axiom, % 5.27/1.12 rdn_translate(nn2,rdn_neg(rdnn(n2)))). % 5.27/1.12 cnf(a27, assumption, % 5.27/1.12 X1 = nn2). % 5.27/1.12 cnf(a28, assumption, % 5.27/1.12 rdn_neg(X4) = rdn_neg(rdnn(n2))). % 5.27/1.12 cnf(c33, plain, % 5.27/1.12 ~rdn_translate(X0,rdn_pos(X5)), % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a27, a28])], [c18, c32])). % 5.27/1.12 cnf(c34, plain, % 5.27/1.12 $false, % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a27, a28])], [c18, c32])). % 5.27/1.12 % 5.27/1.12 cnf(c35, axiom, % 5.27/1.12 rdn_translate(n5,rdn_pos(rdnn(n5)))). % 5.27/1.12 cnf(a29, assumption, % 5.27/1.12 X0 = n5). % 5.27/1.12 cnf(a30, assumption, % 5.27/1.12 rdn_pos(X5) = rdn_pos(rdnn(n5))). % 5.27/1.12 cnf(c36, plain, % 5.27/1.12 $false, % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a29, a30])], [c33, c35])). % 5.27/1.12 cnf(c37, plain, % 5.27/1.12 $false, % 5.27/1.12 inference(strict_predicate_extension, [assumptions([a29, a30])], [c33, c35])). % 5.27/1.12 % 5.27/1.12 cnf(c38, plain, % 5.27/1.12 $false, % 5.27/1.12 inference(constraint_solving, [ % 5.27/1.12 bind(X0, n5), % 5.27/1.12 bind(X1, nn2), % 5.27/1.12 bind(X2, n3), % 5.27/1.12 bind(X3, rdnn(n3)), % 5.27/1.12 bind(X4, rdnn(X7)), % 5.27/1.12 bind(X5, rdnn(X9)), % 5.27/1.12 bind(X6, n0), % 5.27/1.12 bind(X7, n2), % 5.27/1.12 bind(X8, n3), % 5.27/1.12 bind(X9, n5), % 5.27/1.12 bind(X10, n5), % 5.27/1.12 bind(X11, n2), % 5.27/1.12 bind(X12, n5), % 5.27/1.12 bind(X13, n3), % 5.27/1.12 bind(X14, n3), % 5.27/1.12 bind(X15, n5), % 5.27/1.12 bind(X16, n4) % 5.27/1.12 ], % 5.27/1.12 [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])). % 5.27/1.12 % 5.27/1.12 % SZS output end IncompleteProof %------------------------------------------------------------------------------