%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GRP148-1 : TPTP v8.1.0. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n016.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 : Sat Jul 16 10:09:22 EDT 2022 % Result : Unsatisfiable 48.86s 6.59s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : GRP148-1 : TPTP v8.1.0. Bugfixed v1.2.1. % 0.06/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n016.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 : Mon Jun 13 06:16:29 EDT 2022 % 0.12/0.34 % CPUTime : % 48.86/6.59 % SZS status Unsatisfiable % 48.86/6.59 % SZS output begin IncompleteProof % 48.86/6.59 cnf(c0, axiom, % 48.86/6.59 least_upper_bound(a,b) != greatest_lower_bound(least_upper_bound(a,b),c)). % 48.86/6.59 cnf(c1, plain, % 48.86/6.59 least_upper_bound(a,b) != greatest_lower_bound(least_upper_bound(a,b),c), % 48.86/6.59 inference(start, [], [c0])). % 48.86/6.59 % 48.86/6.59 cnf(c2, axiom, % 48.86/6.59 greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0). % 48.86/6.59 cnf(a0, assumption, % 48.86/6.59 greatest_lower_bound(X2,X3) = greatest_lower_bound(least_upper_bound(a,b),c)). % 48.86/6.59 cnf(c3, plain, % 48.86/6.59 $false, % 48.86/6.59 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])). % 48.86/6.59 cnf(c4, plain, % 48.86/6.59 $false, % 48.86/6.59 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])). % 48.86/6.59 cnf(c5, plain, % 48.86/6.59 X2 != X0 | X3 != least_upper_bound(X0,X1) | X4 != X0 | least_upper_bound(a,b) != X4, % 48.86/6.59 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])). % 48.86/6.59 % 48.86/6.59 cnf(a1, assumption, % 48.86/6.59 X2 = X0). % 48.86/6.59 cnf(c6, plain, % 48.86/6.59 X3 != least_upper_bound(X0,X1) | X4 != X0 | least_upper_bound(a,b) != X4, % 48.86/6.59 inference(reflexivity, [assumptions([a1])], [c5])). % 48.86/6.59 % 48.86/6.59 cnf(c7, axiom, % 48.86/6.59 least_upper_bound(X5,least_upper_bound(X6,X7)) = least_upper_bound(least_upper_bound(X5,X6),X7)). % 48.86/6.59 cnf(a2, assumption, % 48.86/6.59 least_upper_bound(X0,X1) = least_upper_bound(least_upper_bound(X5,X6),X7)). % 48.86/6.59 cnf(c8, plain, % 48.86/6.59 X4 != X0 | least_upper_bound(a,b) != X4, % 48.86/6.59 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 48.86/6.59 cnf(c9, plain, % 48.86/6.59 $false, % 48.86/6.59 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 48.86/6.59 cnf(c10, plain, % 48.86/6.59 X8 != least_upper_bound(X5,least_upper_bound(X6,X7)) | X3 != X8, % 48.86/6.59 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 48.86/6.59 % 48.86/6.59 cnf(c11, axiom, % 48.86/6.59 c = least_upper_bound(b,c)). % 48.86/6.59 cnf(a3, assumption, % 48.86/6.59 least_upper_bound(X6,X7) = least_upper_bound(b,c)). % 48.86/6.59 cnf(c12, plain, % 48.86/6.59 X3 != X8, % 48.86/6.59 inference(strict_function_extension, [assumptions([a3])], [c10, c11])). % 48.86/6.59 cnf(c13, plain, % 48.86/6.59 $false, % 48.86/6.59 inference(strict_function_extension, [assumptions([a3])], [c10, c11])). % 48.86/6.59 cnf(c14, plain, % 48.86/6.59 X9 != c | X8 != least_upper_bound(X5,X9), % 48.86/6.59 inference(strict_function_extension, [assumptions([a3])], [c10, c11])). % 48.86/6.59 % 48.86/6.59 cnf(a4, assumption, % 48.86/6.59 X9 = c). % 48.86/6.59 cnf(c15, plain, % 48.86/6.59 X8 != least_upper_bound(X5,X9), % 48.86/6.59 inference(reflexivity, [assumptions([a4])], [c14])). % 48.86/6.59 % 48.86/6.59 cnf(c16, axiom, % 48.86/6.59 c = least_upper_bound(a,c)). % 48.86/6.59 cnf(a5, assumption, % 48.86/6.59 least_upper_bound(X5,X9) = least_upper_bound(a,c)). % 48.86/6.59 cnf(c17, plain, % 48.86/6.59 $false, % 48.86/6.59 inference(strict_function_extension, [assumptions([a5])], [c15, c16])). % 48.86/6.59 cnf(c18, plain, % 48.86/6.59 $false, % 48.86/6.59 inference(strict_function_extension, [assumptions([a5])], [c15, c16])). % 48.86/6.59 cnf(c19, plain, % 48.86/6.59 X10 != c | X8 != X10, % 48.86/6.59 inference(strict_function_extension, [assumptions([a5])], [c15, c16])). % 48.86/6.59 % 48.86/6.59 cnf(a6, assumption, % 48.86/6.59 X10 = c). % 48.86/6.59 cnf(c20, plain, % 48.86/6.59 X8 != X10, % 48.86/6.59 inference(reflexivity, [assumptions([a6])], [c19])). % 48.86/6.59 % 48.86/6.59 cnf(a7, assumption, % 48.86/6.59 X8 = X10). % 48.86/6.59 cnf(c21, plain, % 48.86/6.59 $false, % 48.86/6.59 inference(reflexivity, [assumptions([a7])], [c20])). % 48.86/6.59 % 48.86/6.59 cnf(a8, assumption, % 48.86/6.59 X3 = X8). % 48.86/6.59 cnf(c22, plain, % 48.86/6.59 $false, % 48.86/6.59 inference(reflexivity, [assumptions([a8])], [c12])). % 48.86/6.59 % 48.86/6.59 cnf(a9, assumption, % 48.86/6.59 X4 = X0). % 48.86/6.59 cnf(c23, plain, % 48.86/6.59 least_upper_bound(a,b) != X4, % 48.86/6.59 inference(reflexivity, [assumptions([a9])], [c8])). % 48.86/6.59 % 48.86/6.59 cnf(a10, assumption, % 48.86/6.59 least_upper_bound(a,b) = X4). % 48.86/6.59 cnf(c24, plain, % 48.86/6.59 $false, % 48.86/6.59 inference(reflexivity, [assumptions([a10])], [c23])). % 48.86/6.59 % 48.86/6.59 cnf(c25, plain, % 48.86/6.59 $false, % 48.86/6.59 inference(constraint_solving, [ % 48.86/6.59 bind(X0, least_upper_bound(a,b)), % 48.86/6.59 bind(X1, c), % 48.86/6.59 bind(X4, least_upper_bound(a,b)), % 48.86/6.59 bind(X2, least_upper_bound(a,b)), % 48.86/6.59 bind(X3, c), % 48.86/6.59 bind(X5, a), % 48.86/6.59 bind(X6, b), % 48.86/6.59 bind(X7, c), % 48.86/6.59 bind(X8, c), % 48.86/6.59 bind(X9, c), % 48.86/6.59 bind(X10, c) % 48.86/6.59 ], % 48.86/6.59 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10])). % 48.86/6.59 % 48.86/6.59 % SZS output end IncompleteProof %------------------------------------------------------------------------------