%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : ALG040+1 : TPTP v8.1.0. Released v2.7.0. % 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 17:20:26 EDT 2022 % Result : Theorem 220.91s 28.43s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : ALG040+1 : TPTP v8.1.0. Released v2.7.0. % 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 : n028.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 : Wed Jun 8 01:49:00 EDT 2022 % 0.12/0.33 % CPUTime : % 220.91/28.43 % SZS status Theorem % 220.91/28.43 % SZS output begin IncompleteProof % 220.91/28.43 cnf(c0, axiom, % 220.91/28.43 h(j(X0)) = X0 | ~sorti2(X0)). % 220.91/28.43 cnf(c1, plain, % 220.91/28.43 h(j(X0)) = X0 | ~sorti2(X0), % 220.91/28.43 inference(start, [], [c0])). % 220.91/28.43 % 220.91/28.43 cnf(c2, axiom, % 220.91/28.43 j(op2(X1,X2)) = op1(j(X1),j(X2)) | ~sorti2(X2) | ~sorti2(X1)). % 220.91/28.43 cnf(a0, assumption, % 220.91/28.43 j(X0) = j(op2(X1,X2))). % 220.91/28.43 cnf(c3, plain, % 220.91/28.43 ~sorti2(X0), % 220.91/28.43 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 220.91/28.43 cnf(c4, plain, % 220.91/28.43 ~sorti2(X2) | ~sorti2(X1), % 220.91/28.43 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 220.91/28.43 cnf(c5, plain, % 220.91/28.43 X3 != op1(j(X1),j(X2)) | h(X3) = X0, % 220.91/28.43 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 220.91/28.43 % 220.91/28.43 cnf(c6, axiom, % 220.91/28.43 op1(X4,X4) = sK0 | ~sorti1(X4)). % 220.91/28.43 cnf(a1, assumption, % 220.91/28.43 op1(j(X1),j(X2)) = op1(X4,X4)). % 220.91/28.43 cnf(c7, plain, % 220.91/28.43 h(X3) = X0, % 220.91/28.43 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 220.91/28.43 cnf(c8, plain, % 220.91/28.43 ~sorti1(X4), % 220.91/28.43 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 220.91/28.43 cnf(c9, plain, % 220.91/28.43 X5 != sK0 | X3 != X5, % 220.91/28.43 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 220.91/28.43 % 220.91/28.43 cnf(a2, assumption, % 220.91/28.43 X5 = sK0). % 220.91/28.43 cnf(c10, plain, % 220.91/28.43 X3 != X5, % 220.91/28.43 inference(reflexivity, [assumptions([a2])], [c9])). % 220.91/28.43 % 220.91/28.43 cnf(a3, assumption, % 220.91/28.43 X3 = X5). % 220.91/28.43 cnf(c11, plain, % 220.91/28.43 $false, % 220.91/28.43 inference(reflexivity, [assumptions([a3])], [c10])). % 220.91/28.43 % 220.91/28.43 cnf(c12, axiom, % 220.91/28.43 sorti1(j(X6)) | ~sorti2(X6)). % 220.91/28.43 cnf(a4, assumption, % 220.91/28.43 X4 = j(X6)). % 220.91/28.43 cnf(c13, plain, % 220.91/28.43 $false, % 220.91/28.43 inference(strict_predicate_extension, [assumptions([a4])], [c8, c12])). % 220.91/28.43 cnf(c14, plain, % 220.91/28.43 ~sorti2(X6), % 220.91/28.43 inference(strict_predicate_extension, [assumptions([a4])], [c8, c12])). % 220.91/28.43 % 220.91/28.43 cnf(c15, axiom, % 220.91/28.43 sorti2(sK1(X7)) | ~sorti2(X7)). % 220.91/28.43 cnf(a5, assumption, % 220.91/28.43 X6 = sK1(X7)). % 220.91/28.43 cnf(c16, plain, % 220.91/28.43 $false, % 220.91/28.43 inference(strict_predicate_extension, [assumptions([a5])], [c14, c15])). % 220.91/28.43 cnf(c17, plain, % 220.91/28.43 ~sorti2(X7), % 220.91/28.43 inference(strict_predicate_extension, [assumptions([a5])], [c14, c15])). % 220.91/28.43 % 220.91/28.43 cnf(c18, axiom, % 220.91/28.43 sorti2(h(X8)) | ~sorti1(X8)). % 220.91/28.43 cnf(a6, assumption, % 220.91/28.43 X7 = h(X8)). % 220.91/28.43 cnf(c19, plain, % 220.91/28.43 $false, % 220.91/28.43 inference(strict_predicate_extension, [assumptions([a6])], [c17, c18])). % 220.91/28.43 cnf(c20, plain, % 220.91/28.43 ~sorti1(X8), % 220.91/28.43 inference(strict_predicate_extension, [assumptions([a6])], [c17, c18])). % 220.91/28.43 % 220.91/28.43 cnf(c21, axiom, % 220.91/28.43 sorti1(sK0)). % 220.91/28.43 cnf(a7, assumption, % 220.91/28.43 X8 = sK0). % 220.91/28.43 cnf(c22, plain, % 220.91/28.43 $false, % 220.91/28.43 inference(strict_predicate_extension, [assumptions([a7])], [c20, c21])). % 220.91/28.43 cnf(c23, plain, % 220.91/28.43 $false, % 220.91/28.43 inference(strict_predicate_extension, [assumptions([a7])], [c20, c21])). % 220.91/28.43 % 220.91/28.43 cnf(c24, axiom, % 220.91/28.43 op2(sK1(X9),sK1(X9)) != X9 | ~sorti2(X9)). % 220.91/28.43 cnf(a8, assumption, % 220.91/28.43 op2(sK1(X9),sK1(X9)) = X0). % 220.91/28.43 cnf(a9, assumption, % 220.91/28.43 h(X3) = X10). % 220.91/28.43 cnf(c25, plain, % 220.91/28.43 $false, % 220.91/28.43 inference(strict_subterm_extension, [assumptions([a8, a9])], [c7, c24])). % 220.91/28.43 cnf(c26, plain, % 220.91/28.43 ~sorti2(X9), % 220.91/28.43 inference(strict_subterm_extension, [assumptions([a8, a9])], [c7, c24])). % 220.91/28.43 cnf(c27, plain, % 220.91/28.43 X10 != X9, % 220.91/28.43 inference(strict_subterm_extension, [assumptions([a8, a9])], [c7, c24])). % 220.91/28.43 % 220.91/28.43 cnf(a10, assumption, % 220.91/28.43 X10 = X9). % 220.91/28.43 cnf(c28, plain, % 220.91/28.43 $false, % 220.91/28.43 inference(reflexivity, [assumptions([a10])], [c27])). % 220.91/28.43 % 220.91/28.43 cnf(c29, plain, % 220.91/28.43 sorti2(X7)). % 220.91/28.43 cnf(a11, assumption, % 220.91/28.43 X9 = X7). % 220.91/28.43 cnf(c30, plain, % 220.91/28.43 $false, % 220.91/28.43 inference(predicate_reduction, [assumptions([a11])], [c26, c29])). % 220.91/28.43 % 220.91/28.43 cnf(c31, plain, % 220.91/28.43 sorti2(X6)). % 220.91/28.43 cnf(a12, assumption, % 220.91/28.43 X2 = X6). % 220.91/28.43 cnf(c32, plain, % 220.91/28.43 ~sorti2(X1), % 220.91/28.43 inference(predicate_reduction, [assumptions([a12])], [c4, c31])). % 220.91/28.43 % 220.91/28.43 cnf(c33, plain, % 220.91/28.43 sorti2(X6)). % 220.91/28.43 cnf(a13, assumption, % 220.91/28.43 X1 = X6). % 220.91/28.43 cnf(c34, plain, % 220.91/28.43 $false, % 220.91/28.43 inference(predicate_reduction, [assumptions([a13])], [c32, c33])). % 220.91/28.43 % 220.91/28.43 cnf(c35, axiom, % 220.91/28.43 sorti2(op2(X11,X12)) | ~sorti2(X12) | ~sorti2(X11)). % 220.91/28.43 cnf(a14, assumption, % 220.91/28.43 X0 = op2(X11,X12)). % 220.91/28.43 cnf(c36, plain, % 220.91/28.43 $false, % 220.91/28.43 inference(strict_predicate_extension, [assumptions([a14])], [c3, c35])). % 220.91/28.43 cnf(c37, plain, % 220.91/28.43 ~sorti2(X12) | ~sorti2(X11), % 220.91/28.43 inference(strict_predicate_extension, [assumptions([a14])], [c3, c35])). % 220.91/28.43 % 220.91/28.43 cnf(c38, plain, % 220.91/28.43 sorti2(X6)). % 220.91/28.43 cnf(a15, assumption, % 220.91/28.43 X12 = X6). % 220.91/28.43 cnf(c39, plain, % 220.91/28.43 ~sorti2(X11), % 220.91/28.43 inference(predicate_reduction, [assumptions([a15])], [c37, c38])). % 220.91/28.43 % 220.91/28.43 cnf(c40, plain, % 220.91/28.43 sorti2(X6)). % 220.91/28.43 cnf(a16, assumption, % 220.91/28.43 X11 = X6). % 220.91/28.43 cnf(c41, plain, % 220.91/28.43 $false, % 220.91/28.43 inference(predicate_reduction, [assumptions([a16])], [c39, c40])). % 220.91/28.43 % 220.91/28.43 cnf(c42, plain, % 220.91/28.43 $false, % 220.91/28.43 inference(constraint_solving, [ % 220.91/28.43 bind(X0, op2(X1,X2)), % 220.91/28.43 bind(X1, sK1(X7)), % 220.91/28.43 bind(X2, sK1(X7)), % 220.91/28.43 bind(X3, sK0), % 220.91/28.43 bind(X4, j(X1)), % 220.91/28.43 bind(X5, sK0), % 220.91/28.43 bind(X6, sK1(X7)), % 220.91/28.43 bind(X7, h(X8)), % 220.91/28.43 bind(X8, sK0), % 220.91/28.43 bind(X9, h(X8)), % 220.91/28.43 bind(X10, h(X3)), % 220.91/28.43 bind(X11, sK1(X7)), % 220.91/28.43 bind(X12, sK1(X7)) % 220.91/28.43 ], % 220.91/28.43 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16])). % 220.91/28.43 % 220.91/28.43 % SZS output end IncompleteProof %------------------------------------------------------------------------------