%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET859-1 : 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 : n029.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 02:48:47 EDT 2022 % Result : Unsatisfiable 0.21s 0.44s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SET859-1 : TPTP v8.1.0. Released v3.2.0. % 0.04/0.14 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.14/0.36 % Computer : n029.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Mon Jul 11 10:32:47 EDT 2022 % 0.14/0.36 % CPUTime : % 0.21/0.44 % SZS status Unsatisfiable % 0.21/0.44 % SZS output begin IncompleteProof % 0.21/0.44 cnf(c0, axiom, % 0.21/0.44 c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))). % 0.21/0.44 cnf(c1, plain, % 0.21/0.44 c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))), % 0.21/0.44 inference(start, [], [c0])). % 0.21/0.44 % 0.21/0.44 cnf(c2, axiom, % 0.21/0.44 c_lessequals(X0,X1,tc_set(X2)) | ~c_lessequals(X0,X3,tc_set(X2)) | ~c_lessequals(X3,X1,tc_set(X2))). % 0.21/0.44 cnf(a0, assumption, % 0.21/0.44 c_Zorn_Osucc(v_S,v_n,t_a) = X3). % 0.21/0.44 cnf(a1, assumption, % 0.21/0.44 v_m = X1). % 0.21/0.44 cnf(a2, assumption, % 0.21/0.44 tc_set(tc_set(t_a)) = tc_set(X2)). % 0.21/0.44 cnf(c3, plain, % 0.21/0.44 $false, % 0.21/0.44 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.21/0.44 cnf(c4, plain, % 0.21/0.44 c_lessequals(X0,X1,tc_set(X2)) | ~c_lessequals(X0,X3,tc_set(X2)), % 0.21/0.44 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.21/0.44 % 0.21/0.44 cnf(c5, axiom, % 0.21/0.44 ~c_lessequals(v_n,v_m,tc_set(tc_set(t_a)))). % 0.21/0.44 cnf(a3, assumption, % 0.21/0.44 X0 = v_n). % 0.21/0.44 cnf(a4, assumption, % 0.21/0.44 X1 = v_m). % 0.21/0.44 cnf(a5, assumption, % 0.21/0.44 tc_set(X2) = tc_set(tc_set(t_a))). % 0.21/0.44 cnf(c6, plain, % 0.21/0.44 ~c_lessequals(X0,X3,tc_set(X2)), % 0.21/0.44 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.21/0.44 cnf(c7, plain, % 0.21/0.44 $false, % 0.21/0.44 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.21/0.44 % 0.21/0.44 cnf(c8, axiom, % 0.21/0.44 c_lessequals(X4,c_Zorn_Osucc(X5,X4,X6),tc_set(tc_set(X6)))). % 0.21/0.44 cnf(a6, assumption, % 0.21/0.44 X0 = X4). % 0.21/0.44 cnf(a7, assumption, % 0.21/0.44 X3 = c_Zorn_Osucc(X5,X4,X6)). % 0.21/0.44 cnf(a8, assumption, % 0.21/0.44 tc_set(X2) = tc_set(tc_set(X6))). % 0.21/0.44 cnf(c9, plain, % 0.21/0.44 $false, % 0.21/0.44 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])). % 0.21/0.44 cnf(c10, plain, % 0.21/0.44 $false, % 0.21/0.44 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])). % 0.21/0.44 % 0.21/0.44 cnf(c11, plain, % 0.21/0.44 $false, % 0.21/0.44 inference(constraint_solving, [ % 0.21/0.44 bind(X0, v_n), % 0.21/0.44 bind(X1, v_m), % 0.21/0.44 bind(X2, tc_set(t_a)), % 0.21/0.44 bind(X3, c_Zorn_Osucc(v_S,v_n,t_a)), % 0.21/0.44 bind(X4, v_n), % 0.21/0.44 bind(X5, v_S), % 0.21/0.44 bind(X6, t_a) % 0.21/0.44 ], % 0.21/0.44 [a0, a1, a2, a3, a4, a5, a6, a7, a8])). % 0.21/0.44 % 0.21/0.44 % SZS output end IncompleteProof %------------------------------------------------------------------------------