%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : KRS013-1 : TPTP v8.1.0. 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 : n026.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 : Sun Jul 17 03:12:48 EDT 2022 % Result : Unsatisfiable 0.19s 0.42s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : KRS013-1 : TPTP v8.1.0. Released v2.0.0. % 0.11/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n026.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jun 7 17:27:46 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.42 % SZS status Unsatisfiable % 0.19/0.42 % SZS output begin IncompleteProof % 0.19/0.42 cnf(c0, axiom, % 0.19/0.42 e(exist)). % 0.19/0.42 cnf(c1, plain, % 0.19/0.42 e(exist), % 0.19/0.42 inference(start, [], [c0])). % 0.19/0.42 % 0.19/0.42 cnf(c2, axiom, % 0.19/0.42 ~s2least(X0) | ~r(X1,X0) | ~e(X1) | c(X0)). % 0.19/0.42 cnf(a0, assumption, % 0.19/0.42 exist = X1). % 0.19/0.42 cnf(c3, plain, % 0.19/0.42 $false, % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.19/0.42 cnf(c4, plain, % 0.19/0.42 ~s2least(X0) | ~r(X1,X0) | c(X0), % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.19/0.42 % 0.19/0.42 cnf(c5, axiom, % 0.19/0.42 ~s(X2,X3) | ~s(X2,X4) | equalish(X4,X3) | s2least(X2)). % 0.19/0.42 cnf(a1, assumption, % 0.19/0.42 X0 = X2). % 0.19/0.42 cnf(c6, plain, % 0.19/0.42 ~r(X1,X0) | c(X0), % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.19/0.42 cnf(c7, plain, % 0.19/0.42 ~s(X2,X3) | ~s(X2,X4) | equalish(X4,X3), % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.19/0.42 % 0.19/0.42 cnf(c8, axiom, % 0.19/0.42 s(X5,u7r1(X5)) | s1most(X5)). % 0.19/0.42 cnf(a2, assumption, % 0.19/0.42 X2 = X5). % 0.19/0.42 cnf(a3, assumption, % 0.19/0.42 X3 = u7r1(X5)). % 0.19/0.42 cnf(c9, plain, % 0.19/0.42 ~s(X2,X4) | equalish(X4,X3), % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a2, a3])], [c7, c8])). % 0.19/0.42 cnf(c10, plain, % 0.19/0.42 s1most(X5), % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a2, a3])], [c7, c8])). % 0.19/0.42 % 0.19/0.42 cnf(c11, axiom, % 0.19/0.42 ~s1most(u6r1(X6)) | f(X6)). % 0.19/0.42 cnf(a4, assumption, % 0.19/0.42 X5 = u6r1(X6)). % 0.19/0.42 cnf(c12, plain, % 0.19/0.42 $false, % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a4])], [c10, c11])). % 0.19/0.42 cnf(c13, plain, % 0.19/0.42 f(X6), % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a4])], [c10, c11])). % 0.19/0.42 % 0.19/0.42 cnf(c14, axiom, % 0.19/0.42 ~f(exist)). % 0.19/0.42 cnf(a5, assumption, % 0.19/0.42 X6 = exist). % 0.19/0.42 cnf(c15, plain, % 0.19/0.42 $false, % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a5])], [c13, c14])). % 0.19/0.42 cnf(c16, plain, % 0.19/0.42 $false, % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a5])], [c13, c14])). % 0.19/0.42 % 0.19/0.42 cnf(c17, axiom, % 0.19/0.42 s(X7,u7r2(X7)) | s1most(X7)). % 0.19/0.42 cnf(a6, assumption, % 0.19/0.42 X2 = X7). % 0.19/0.42 cnf(a7, assumption, % 0.19/0.42 X4 = u7r2(X7)). % 0.19/0.42 cnf(c18, plain, % 0.19/0.42 equalish(X4,X3), % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c17])). % 0.19/0.42 cnf(c19, plain, % 0.19/0.42 s1most(X7), % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c17])). % 0.19/0.42 % 0.19/0.42 cnf(c20, plain, % 0.19/0.42 ~s1most(X5)). % 0.19/0.42 cnf(a8, assumption, % 0.19/0.42 X7 = X5). % 0.19/0.42 cnf(c21, plain, % 0.19/0.42 $false, % 0.19/0.42 inference(predicate_reduction, [assumptions([a8])], [c19, c20])). % 0.19/0.42 % 0.19/0.42 cnf(c22, axiom, % 0.19/0.42 ~equalish(u7r2(X8),u7r1(X8)) | s1most(X8)). % 0.19/0.42 cnf(a9, assumption, % 0.19/0.42 X4 = u7r2(X8)). % 0.19/0.42 cnf(a10, assumption, % 0.19/0.42 X3 = u7r1(X8)). % 0.19/0.42 cnf(c23, plain, % 0.19/0.42 $false, % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a9, a10])], [c18, c22])). % 0.19/0.42 cnf(c24, plain, % 0.19/0.42 s1most(X8), % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a9, a10])], [c18, c22])). % 0.19/0.42 % 0.19/0.42 cnf(c25, plain, % 0.19/0.42 ~s1most(X5)). % 0.19/0.42 cnf(a11, assumption, % 0.19/0.42 X8 = X5). % 0.19/0.42 cnf(c26, plain, % 0.19/0.42 $false, % 0.19/0.42 inference(predicate_reduction, [assumptions([a11])], [c24, c25])). % 0.19/0.42 % 0.19/0.42 cnf(c27, axiom, % 0.19/0.42 r(X9,u6r1(X9)) | f(X9)). % 0.19/0.42 cnf(a12, assumption, % 0.19/0.42 X1 = X9). % 0.19/0.42 cnf(a13, assumption, % 0.19/0.42 X0 = u6r1(X9)). % 0.19/0.42 cnf(c28, plain, % 0.19/0.42 c(X0), % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a12, a13])], [c6, c27])). % 0.19/0.42 cnf(c29, plain, % 0.19/0.42 f(X9), % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a12, a13])], [c6, c27])). % 0.19/0.42 % 0.19/0.42 cnf(c30, plain, % 0.19/0.42 ~f(X6)). % 0.19/0.42 cnf(a14, assumption, % 0.19/0.42 X9 = X6). % 0.19/0.42 cnf(c31, plain, % 0.19/0.42 $false, % 0.19/0.42 inference(predicate_reduction, [assumptions([a14])], [c29, c30])). % 0.19/0.42 % 0.19/0.42 cnf(c32, axiom, % 0.19/0.42 ~c(X10) | t2least(X10)). % 0.19/0.42 cnf(a15, assumption, % 0.19/0.42 X0 = X10). % 0.19/0.42 cnf(c33, plain, % 0.19/0.42 $false, % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a15])], [c28, c32])). % 0.19/0.42 cnf(c34, plain, % 0.19/0.42 t2least(X10), % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a15])], [c28, c32])). % 0.19/0.42 % 0.19/0.42 cnf(c35, axiom, % 0.19/0.42 ~t2least(X11) | t(X11,u1r1(X11))). % 0.19/0.42 cnf(a16, assumption, % 0.19/0.42 X10 = X11). % 0.19/0.42 cnf(c36, plain, % 0.19/0.42 $false, % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a16])], [c34, c35])). % 0.19/0.42 cnf(c37, plain, % 0.19/0.42 t(X11,u1r1(X11)), % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a16])], [c34, c35])). % 0.19/0.42 % 0.19/0.42 cnf(c38, axiom, % 0.19/0.42 ~t(X12,X13) | ~t(X12,X14) | ~t1most(X12) | equalish(X14,X13)). % 0.19/0.42 cnf(a17, assumption, % 0.19/0.42 X11 = X12). % 0.19/0.42 cnf(a18, assumption, % 0.19/0.42 u1r1(X11) = X13). % 0.19/0.42 cnf(c39, plain, % 0.19/0.42 $false, % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a17, a18])], [c37, c38])). % 0.19/0.42 cnf(c40, plain, % 0.19/0.42 ~t(X12,X14) | ~t1most(X12) | equalish(X14,X13), % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a17, a18])], [c37, c38])). % 0.19/0.42 % 0.19/0.42 cnf(c41, axiom, % 0.19/0.42 ~t2least(X15) | t(X15,u1r2(X15))). % 0.19/0.42 cnf(a19, assumption, % 0.19/0.42 X12 = X15). % 0.19/0.42 cnf(a20, assumption, % 0.19/0.42 X14 = u1r2(X15)). % 0.19/0.42 cnf(c42, plain, % 0.19/0.42 ~t1most(X12) | equalish(X14,X13), % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a19, a20])], [c40, c41])). % 0.19/0.42 cnf(c43, plain, % 0.19/0.42 ~t2least(X15), % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a19, a20])], [c40, c41])). % 0.19/0.42 % 0.19/0.42 cnf(c44, plain, % 0.19/0.42 t2least(X10)). % 0.19/0.42 cnf(a21, assumption, % 0.19/0.42 X15 = X10). % 0.19/0.42 cnf(c45, plain, % 0.19/0.42 $false, % 0.19/0.42 inference(predicate_reduction, [assumptions([a21])], [c43, c44])). % 0.19/0.42 % 0.19/0.42 cnf(c46, axiom, % 0.19/0.42 ~d(X16) | t1most(X16)). % 0.19/0.42 cnf(a22, assumption, % 0.19/0.42 X12 = X16). % 0.19/0.42 cnf(c47, plain, % 0.19/0.42 equalish(X14,X13), % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a22])], [c42, c46])). % 0.19/0.42 cnf(c48, plain, % 0.19/0.42 ~d(X16), % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a22])], [c42, c46])). % 0.19/0.42 % 0.19/0.42 cnf(c49, axiom, % 0.19/0.42 ~r(X17,X18) | ~e(X17) | d(X18)). % 0.19/0.42 cnf(a23, assumption, % 0.19/0.42 X16 = X18). % 0.19/0.42 cnf(c50, plain, % 0.19/0.42 $false, % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a23])], [c48, c49])). % 0.19/0.42 cnf(c51, plain, % 0.19/0.42 ~r(X17,X18) | ~e(X17), % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a23])], [c48, c49])). % 0.19/0.42 % 0.19/0.42 cnf(c52, plain, % 0.19/0.42 r(X1,X0)). % 0.19/0.42 cnf(a24, assumption, % 0.19/0.42 X17 = X1). % 0.19/0.42 cnf(a25, assumption, % 0.19/0.42 X18 = X0). % 0.19/0.42 cnf(c53, plain, % 0.19/0.42 ~e(X17), % 0.19/0.42 inference(predicate_reduction, [assumptions([a24, a25])], [c51, c52])). % 0.19/0.42 % 0.19/0.42 cnf(c54, plain, % 0.19/0.42 e(exist)). % 0.19/0.42 cnf(a26, assumption, % 0.19/0.42 X17 = exist). % 0.19/0.42 cnf(c55, plain, % 0.19/0.42 $false, % 0.19/0.42 inference(predicate_reduction, [assumptions([a26])], [c53, c54])). % 0.19/0.42 % 0.19/0.42 cnf(c56, axiom, % 0.19/0.42 ~equalish(u1r2(X19),u1r1(X19)) | ~t2least(X19)). % 0.19/0.42 cnf(a27, assumption, % 0.19/0.42 X14 = u1r2(X19)). % 0.19/0.42 cnf(a28, assumption, % 0.19/0.42 X13 = u1r1(X19)). % 0.19/0.42 cnf(c57, plain, % 0.19/0.42 $false, % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a27, a28])], [c47, c56])). % 0.19/0.42 cnf(c58, plain, % 0.19/0.42 ~t2least(X19), % 0.19/0.42 inference(strict_predicate_extension, [assumptions([a27, a28])], [c47, c56])). % 0.19/0.42 % 0.19/0.42 cnf(c59, plain, % 0.19/0.42 t2least(X10)). % 0.19/0.42 cnf(a29, assumption, % 0.19/0.42 X19 = X10). % 0.19/0.42 cnf(c60, plain, % 0.19/0.42 $false, % 0.19/0.42 inference(predicate_reduction, [assumptions([a29])], [c58, c59])). % 0.19/0.42 % 0.19/0.42 cnf(c61, plain, % 0.19/0.42 $false, % 0.19/0.42 inference(constraint_solving, [ % 0.19/0.42 bind(X0, u6r1(X6)), % 0.19/0.42 bind(X1, exist), % 0.19/0.42 bind(X2, u6r1(X6)), % 0.19/0.42 bind(X3, u7r1(X5)), % 0.19/0.42 bind(X4, u7r2(X7)), % 0.19/0.42 bind(X5, u6r1(X6)), % 0.19/0.42 bind(X6, exist), % 0.19/0.42 bind(X7, u6r1(X6)), % 0.19/0.42 bind(X8, u6r1(X6)), % 0.19/0.42 bind(X9, exist), % 0.19/0.42 bind(X10, u6r1(X6)), % 0.19/0.42 bind(X11, u6r1(X6)), % 0.19/0.42 bind(X12, u6r1(X6)), % 0.19/0.42 bind(X13, u1r1(X11)), % 0.19/0.42 bind(X14, u1r2(X15)), % 0.19/0.42 bind(X15, u6r1(X6)), % 0.19/0.42 bind(X16, u6r1(X6)), % 0.19/0.42 bind(X17, exist), % 0.19/0.42 bind(X18, u6r1(X6)), % 0.19/0.42 bind(X19, u6r1(X6)) % 0.19/0.42 ], % 0.19/0.42 [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])). % 0.19/0.42 % 0.19/0.42 % SZS output end IncompleteProof %------------------------------------------------------------------------------