%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET849-2 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n019.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 02:48:40 EDT 2022 % Result : Unsatisfiable 0.13s 0.35s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SET849-2 : TPTP v8.1.0. Released v3.2.0. % 0.04/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n019.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sun Jul 10 14:45:23 EDT 2022 % 0.13/0.34 % CPUTime : % 0.13/0.35 % SZS status Unsatisfiable % 0.13/0.35 % SZS output begin IncompleteProof % 0.13/0.35 cnf(c0, axiom, % 0.13/0.35 c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a)). % 0.13/0.35 cnf(c1, plain, % 0.13/0.35 c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a), % 0.13/0.35 inference(start, [], [c0])). % 0.13/0.35 % 0.13/0.35 cnf(c2, axiom, % 0.13/0.35 c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) = c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1) | ~c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1)))). % 0.13/0.35 cnf(a0, assumption, % 0.13/0.35 c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) = c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1)). % 0.13/0.35 cnf(c3, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.35 cnf(c4, plain, % 0.13/0.35 ~c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))), % 0.13/0.35 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.35 cnf(c5, plain, % 0.13/0.35 X2 != c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) | c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != X2, % 0.13/0.35 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.35 % 0.13/0.35 cnf(a1, assumption, % 0.13/0.35 X2 = c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1))). % 0.13/0.35 cnf(c6, plain, % 0.13/0.35 c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != X2, % 0.13/0.35 inference(reflexivity, [assumptions([a1])], [c5])). % 0.13/0.35 % 0.13/0.35 cnf(a2, assumption, % 0.13/0.35 c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) = X2). % 0.13/0.35 cnf(c7, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(reflexivity, [assumptions([a2])], [c6])). % 0.13/0.35 % 0.13/0.35 cnf(c8, axiom, % 0.13/0.35 c_in(c_Union(X3,tc_set(X4)),c_Zorn_OTFin(X5,X4),tc_set(tc_set(X4))) | ~c_lessequals(X3,c_Zorn_OTFin(X5,X4),tc_set(tc_set(tc_set(X4))))). % 0.13/0.35 cnf(a3, assumption, % 0.13/0.35 c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) = c_Union(X3,tc_set(X4))). % 0.13/0.35 cnf(a4, assumption, % 0.13/0.35 c_Zorn_OTFin(X0,X1) = c_Zorn_OTFin(X5,X4)). % 0.13/0.35 cnf(a5, assumption, % 0.13/0.35 tc_set(tc_set(X1)) = tc_set(tc_set(X4))). % 0.13/0.35 cnf(c9, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])). % 0.13/0.35 cnf(c10, plain, % 0.13/0.35 ~c_lessequals(X3,c_Zorn_OTFin(X5,X4),tc_set(tc_set(tc_set(X4)))), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])). % 0.13/0.35 % 0.13/0.35 cnf(c11, axiom, % 0.13/0.35 c_lessequals(X6,X6,tc_set(X7))). % 0.13/0.35 cnf(a6, assumption, % 0.13/0.35 X3 = X6). % 0.13/0.35 cnf(a7, assumption, % 0.13/0.35 c_Zorn_OTFin(X5,X4) = X6). % 0.13/0.35 cnf(a8, assumption, % 0.13/0.35 tc_set(tc_set(tc_set(X4))) = tc_set(X7)). % 0.13/0.35 cnf(c12, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c10, c11])). % 0.13/0.35 cnf(c13, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c10, c11])). % 0.13/0.35 % 0.13/0.35 cnf(c14, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(constraint_solving, [ % 0.13/0.35 bind(X0, v_S), % 0.13/0.35 bind(X1, t_a), % 0.13/0.35 bind(X2, c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1))), % 0.13/0.35 bind(X3, c_Zorn_OTFin(X0,X1)), % 0.13/0.35 bind(X4, t_a), % 0.13/0.35 bind(X5, v_S), % 0.13/0.35 bind(X6, c_Zorn_OTFin(X0,X1)), % 0.13/0.35 bind(X7, tc_set(tc_set(X4))) % 0.13/0.35 ], % 0.13/0.35 [a0, a1, a2, a3, a4, a5, a6, a7, a8])). % 0.13/0.35 % 0.13/0.35 % SZS output end IncompleteProof %------------------------------------------------------------------------------