%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET047-5 : 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 : n006.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 : Tue Jul 19 02:43:00 EDT 2022 % Result : Unsatisfiable 0.21s 0.52s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SET047-5 : TPTP v8.1.0. Released v1.0.0. % 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.35 % Computer : n006.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Sun Jul 10 00:39:06 EDT 2022 % 0.13/0.35 % CPUTime : % 0.21/0.52 % SZS status Unsatisfiable % 0.21/0.52 % SZS output begin IncompleteProof % 0.21/0.52 cnf(c0, axiom, % 0.21/0.52 set_equal(b,a) | set_equal(a,b)). % 0.21/0.52 cnf(c1, plain, % 0.21/0.52 set_equal(b,a) | set_equal(a,b), % 0.21/0.52 inference(start, [], [c0])). % 0.21/0.52 % 0.21/0.52 cnf(c2, axiom, % 0.21/0.52 ~set_equal(a,b) | ~set_equal(b,a)). % 0.21/0.52 cnf(a0, assumption, % 0.21/0.52 b = b). % 0.21/0.52 cnf(a1, assumption, % 0.21/0.52 a = a). % 0.21/0.52 cnf(c3, plain, % 0.21/0.52 set_equal(a,b), % 0.21/0.52 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 0.21/0.52 cnf(c4, plain, % 0.21/0.52 ~set_equal(a,b), % 0.21/0.52 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 0.21/0.52 % 0.21/0.52 cnf(c5, axiom, % 0.21/0.52 set_equal(X0,X1) | ~element(f(X0,X1),X0) | ~element(f(X0,X1),X1)). % 0.21/0.52 cnf(a2, assumption, % 0.21/0.52 a = X0). % 0.21/0.52 cnf(a3, assumption, % 0.21/0.52 b = X1). % 0.21/0.52 cnf(c6, plain, % 0.21/0.52 $false, % 0.21/0.52 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 0.21/0.52 cnf(c7, plain, % 0.21/0.52 ~element(f(X0,X1),X0) | ~element(f(X0,X1),X1), % 0.21/0.52 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 0.21/0.52 % 0.21/0.52 cnf(c8, axiom, % 0.21/0.52 element(X2,X3) | ~element(X2,X4) | ~set_equal(X4,X3)). % 0.21/0.52 cnf(a4, assumption, % 0.21/0.52 f(X0,X1) = X2). % 0.21/0.52 cnf(a5, assumption, % 0.21/0.52 X0 = X3). % 0.21/0.52 cnf(c9, plain, % 0.21/0.52 ~element(f(X0,X1),X1), % 0.21/0.52 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 0.21/0.52 cnf(c10, plain, % 0.21/0.52 ~element(X2,X4) | ~set_equal(X4,X3), % 0.21/0.52 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 0.21/0.52 % 0.21/0.52 cnf(c11, axiom, % 0.21/0.52 set_equal(X5,X6) | element(f(X5,X6),X6) | element(f(X5,X6),X5)). % 0.21/0.52 cnf(a6, assumption, % 0.21/0.52 X2 = f(X5,X6)). % 0.21/0.52 cnf(a7, assumption, % 0.21/0.52 X4 = X6). % 0.21/0.52 cnf(c12, plain, % 0.21/0.52 ~set_equal(X4,X3), % 0.21/0.52 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])). % 0.21/0.52 cnf(c13, plain, % 0.21/0.52 set_equal(X5,X6) | element(f(X5,X6),X5), % 0.21/0.52 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])). % 0.21/0.52 % 0.21/0.52 cnf(c14, plain, % 0.21/0.52 ~set_equal(a,b)). % 0.21/0.52 cnf(a8, assumption, % 0.21/0.52 X5 = a). % 0.21/0.52 cnf(a9, assumption, % 0.21/0.52 X6 = b). % 0.21/0.52 cnf(c15, plain, % 0.21/0.52 element(f(X5,X6),X5), % 0.21/0.52 inference(predicate_reduction, [assumptions([a8, a9])], [c13, c14])). % 0.21/0.52 % 0.21/0.52 cnf(c16, plain, % 0.21/0.52 ~element(f(X0,X1),X0)). % 0.21/0.52 cnf(a10, assumption, % 0.21/0.52 f(X5,X6) = f(X0,X1)). % 0.21/0.52 cnf(a11, assumption, % 0.21/0.52 X5 = X0). % 0.21/0.52 cnf(c17, plain, % 0.21/0.52 $false, % 0.21/0.52 inference(predicate_reduction, [assumptions([a10, a11])], [c15, c16])). % 0.21/0.52 % 0.21/0.52 cnf(c18, plain, % 0.21/0.52 set_equal(b,a)). % 0.21/0.52 cnf(a12, assumption, % 0.21/0.52 X4 = b). % 0.21/0.52 cnf(a13, assumption, % 0.21/0.52 X3 = a). % 0.21/0.52 cnf(c19, plain, % 0.21/0.52 $false, % 0.21/0.52 inference(predicate_reduction, [assumptions([a12, a13])], [c12, c18])). % 0.21/0.52 % 0.21/0.52 cnf(c20, axiom, % 0.21/0.52 element(X7,X8) | ~element(X7,X9) | ~set_equal(X8,X9)). % 0.21/0.52 cnf(a14, assumption, % 0.21/0.52 f(X0,X1) = X7). % 0.21/0.52 cnf(a15, assumption, % 0.21/0.52 X1 = X8). % 0.21/0.52 cnf(c21, plain, % 0.21/0.52 $false, % 0.21/0.52 inference(strict_predicate_extension, [assumptions([a14, a15])], [c9, c20])). % 0.21/0.52 cnf(c22, plain, % 0.21/0.52 ~element(X7,X9) | ~set_equal(X8,X9), % 0.21/0.52 inference(strict_predicate_extension, [assumptions([a14, a15])], [c9, c20])). % 0.21/0.52 % 0.21/0.52 cnf(c23, plain, % 0.21/0.52 element(f(X0,X1),X0)). % 0.21/0.52 cnf(a16, assumption, % 0.21/0.52 X7 = f(X0,X1)). % 0.21/0.52 cnf(a17, assumption, % 0.21/0.52 X9 = X0). % 0.21/0.52 cnf(c24, plain, % 0.21/0.52 ~set_equal(X8,X9), % 0.21/0.52 inference(predicate_reduction, [assumptions([a16, a17])], [c22, c23])). % 0.21/0.52 % 0.21/0.52 cnf(c25, plain, % 0.21/0.52 set_equal(b,a)). % 0.21/0.52 cnf(a18, assumption, % 0.21/0.52 X8 = b). % 0.21/0.52 cnf(a19, assumption, % 0.21/0.52 X9 = a). % 0.21/0.52 cnf(c26, plain, % 0.21/0.52 $false, % 0.21/0.52 inference(predicate_reduction, [assumptions([a18, a19])], [c24, c25])). % 0.21/0.52 % 0.21/0.52 cnf(c27, axiom, % 0.21/0.52 element(X10,X11) | ~element(X10,X12) | ~set_equal(X11,X12)). % 0.21/0.52 cnf(a20, assumption, % 0.21/0.52 a = X11). % 0.21/0.52 cnf(a21, assumption, % 0.21/0.52 b = X12). % 0.21/0.52 cnf(c28, plain, % 0.21/0.52 $false, % 0.21/0.52 inference(strict_predicate_extension, [assumptions([a20, a21])], [c3, c27])). % 0.21/0.52 cnf(c29, plain, % 0.21/0.52 element(X10,X11) | ~element(X10,X12), % 0.21/0.52 inference(strict_predicate_extension, [assumptions([a20, a21])], [c3, c27])). % 0.21/0.52 % 0.21/0.52 cnf(c30, axiom, % 0.21/0.52 set_equal(X13,X14) | ~element(f(X13,X14),X13) | ~element(f(X13,X14),X14)). % 0.21/0.52 cnf(a22, assumption, % 0.21/0.52 X10 = f(X13,X14)). % 0.21/0.52 cnf(a23, assumption, % 0.21/0.52 X11 = X14). % 0.21/0.52 cnf(c31, plain, % 0.21/0.52 ~element(X10,X12), % 0.21/0.52 inference(strict_predicate_extension, [assumptions([a22, a23])], [c29, c30])). % 0.21/0.52 cnf(c32, plain, % 0.21/0.52 set_equal(X13,X14) | ~element(f(X13,X14),X13), % 0.21/0.52 inference(strict_predicate_extension, [assumptions([a22, a23])], [c29, c30])). % 0.21/0.52 % 0.21/0.52 cnf(c33, plain, % 0.21/0.52 ~set_equal(b,a)). % 0.21/0.52 cnf(a24, assumption, % 0.21/0.52 X13 = b). % 0.21/0.52 cnf(a25, assumption, % 0.21/0.52 X14 = a). % 0.21/0.52 cnf(c34, plain, % 0.21/0.52 ~element(f(X13,X14),X13), % 0.21/0.52 inference(predicate_reduction, [assumptions([a24, a25])], [c32, c33])). % 0.21/0.52 % 0.21/0.52 cnf(c35, axiom, % 0.21/0.52 element(X15,X16) | ~element(X15,X17) | ~set_equal(X17,X16)). % 0.21/0.52 cnf(a26, assumption, % 0.21/0.52 f(X13,X14) = X15). % 0.21/0.52 cnf(a27, assumption, % 0.21/0.52 X13 = X16). % 0.21/0.52 cnf(c36, plain, % 0.21/0.52 $false, % 0.21/0.52 inference(strict_predicate_extension, [assumptions([a26, a27])], [c34, c35])). % 0.21/0.52 cnf(c37, plain, % 0.21/0.52 ~element(X15,X17) | ~set_equal(X17,X16), % 0.21/0.52 inference(strict_predicate_extension, [assumptions([a26, a27])], [c34, c35])). % 0.21/0.52 % 0.21/0.52 cnf(c38, plain, % 0.21/0.52 element(X10,X11)). % 0.21/0.52 cnf(a28, assumption, % 0.21/0.52 X15 = X10). % 0.21/0.52 cnf(a29, assumption, % 0.21/0.52 X17 = X11). % 0.21/0.52 cnf(c39, plain, % 0.21/0.52 ~set_equal(X17,X16), % 0.21/0.52 inference(predicate_reduction, [assumptions([a28, a29])], [c37, c38])). % 0.21/0.52 % 0.21/0.52 cnf(c40, plain, % 0.21/0.52 set_equal(a,b)). % 0.21/0.52 cnf(a30, assumption, % 0.21/0.52 X17 = a). % 0.21/0.52 cnf(a31, assumption, % 0.21/0.52 X16 = b). % 0.21/0.52 cnf(c41, plain, % 0.21/0.52 $false, % 0.21/0.52 inference(predicate_reduction, [assumptions([a30, a31])], [c39, c40])). % 0.21/0.52 % 0.21/0.52 cnf(c42, axiom, % 0.21/0.52 set_equal(X18,X19) | element(f(X18,X19),X19) | element(f(X18,X19),X18)). % 0.21/0.52 cnf(a32, assumption, % 0.21/0.52 X10 = f(X18,X19)). % 0.21/0.52 cnf(a33, assumption, % 0.21/0.52 X12 = X18). % 0.21/0.52 cnf(c43, plain, % 0.21/0.52 $false, % 0.21/0.52 inference(strict_predicate_extension, [assumptions([a32, a33])], [c31, c42])). % 0.21/0.52 cnf(c44, plain, % 0.21/0.52 set_equal(X18,X19) | element(f(X18,X19),X19), % 0.21/0.52 inference(strict_predicate_extension, [assumptions([a32, a33])], [c31, c42])). % 0.21/0.52 % 0.21/0.52 cnf(c45, plain, % 0.21/0.52 ~set_equal(b,a)). % 0.21/0.52 cnf(a34, assumption, % 0.21/0.52 X18 = b). % 0.21/0.52 cnf(a35, assumption, % 0.21/0.52 X19 = a). % 0.21/0.52 cnf(c46, plain, % 0.21/0.52 element(f(X18,X19),X19), % 0.21/0.52 inference(predicate_reduction, [assumptions([a34, a35])], [c44, c45])). % 0.21/0.52 % 0.21/0.52 cnf(c47, plain, % 0.21/0.52 ~element(X10,X11)). % 0.21/0.52 cnf(a36, assumption, % 0.21/0.52 f(X18,X19) = X10). % 0.21/0.52 cnf(a37, assumption, % 0.21/0.52 X19 = X11). % 0.21/0.52 cnf(c48, plain, % 0.21/0.52 $false, % 0.21/0.52 inference(predicate_reduction, [assumptions([a36, a37])], [c46, c47])). % 0.21/0.52 % 0.21/0.52 cnf(c49, plain, % 0.21/0.52 $false, % 0.21/0.52 inference(constraint_solving, [ % 0.21/0.52 bind(X0, a), % 0.21/0.52 bind(X1, b), % 0.21/0.52 bind(X2, f(X0,X1)), % 0.21/0.52 bind(X3, a), % 0.21/0.52 bind(X4, b), % 0.21/0.52 bind(X5, a), % 0.21/0.52 bind(X6, b), % 0.21/0.52 bind(X7, f(X0,X1)), % 0.21/0.52 bind(X8, b), % 0.21/0.52 bind(X9, a), % 0.21/0.52 bind(X10, f(X13,X14)), % 0.21/0.52 bind(X11, a), % 0.21/0.52 bind(X12, b), % 0.21/0.52 bind(X13, b), % 0.21/0.52 bind(X14, a), % 0.21/0.52 bind(X15, f(X13,X14)), % 0.21/0.52 bind(X16, b), % 0.21/0.52 bind(X17, a), % 0.21/0.52 bind(X18, b), % 0.21/0.52 bind(X19, a) % 0.21/0.52 ], % 0.21/0.52 [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, a34, a35, a36, a37])). % 0.21/0.52 % 0.21/0.52 % SZS output end IncompleteProof %------------------------------------------------------------------------------