%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET841-2 : 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 : n017.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 02:48:35 EDT 2022 % Result : Unsatisfiable 0.12s 0.35s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SET841-2 : TPTP v8.1.0. Released v3.2.0. % 0.06/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.34 % Computer : n017.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Sun Jul 10 00:38:47 EDT 2022 % 0.12/0.34 % CPUTime : % 0.12/0.35 % SZS status Unsatisfiable % 0.12/0.35 % SZS output begin IncompleteProof % 0.12/0.35 cnf(c0, axiom, % 0.12/0.35 c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))). % 0.12/0.35 cnf(c1, plain, % 0.12/0.35 c_lessequals(v_x,v_m,tc_set(tc_set(t_a))), % 0.12/0.35 inference(start, [], [c0])). % 0.12/0.35 % 0.12/0.35 cnf(c2, axiom, % 0.12/0.35 X0 = X1 | c_lessequals(c_Zorn_Osucc(X2,X0,X3),X1,tc_set(tc_set(X3))) | ~c_lessequals(X0,X1,tc_set(tc_set(X3))) | ~c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) | ~c_in(X0,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))). % 0.12/0.35 cnf(a0, assumption, % 0.12/0.35 v_x = X0). % 0.12/0.35 cnf(a1, assumption, % 0.12/0.35 v_m = X1). % 0.12/0.35 cnf(a2, assumption, % 0.12/0.35 tc_set(tc_set(t_a)) = tc_set(tc_set(X3))). % 0.12/0.35 cnf(c3, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.12/0.35 cnf(c4, plain, % 0.12/0.35 X0 = X1 | c_lessequals(c_Zorn_Osucc(X2,X0,X3),X1,tc_set(tc_set(X3))) | ~c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) | ~c_in(X0,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.12/0.35 % 0.12/0.35 cnf(c5, axiom, % 0.12/0.35 ~c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a)))). % 0.12/0.35 cnf(a3, assumption, % 0.12/0.35 v_x = X0). % 0.12/0.35 cnf(c6, plain, % 0.12/0.35 c_lessequals(c_Zorn_Osucc(X2,X0,X3),X1,tc_set(tc_set(X3))) | ~c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) | ~c_in(X0,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))), % 0.12/0.35 inference(strict_subterm_extension, [assumptions([a3])], [c4, c5])). % 0.12/0.35 cnf(c7, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_subterm_extension, [assumptions([a3])], [c4, c5])). % 0.12/0.35 cnf(c8, plain, % 0.12/0.35 ~c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),v_m,tc_set(tc_set(t_a))), % 0.12/0.35 inference(strict_subterm_extension, [assumptions([a3])], [c4, c5])). % 0.12/0.35 % 0.12/0.35 cnf(c9, axiom, % 0.12/0.35 v_m = c_Zorn_Osucc(v_S,v_m,t_a)). % 0.12/0.35 cnf(a4, assumption, % 0.12/0.35 c_Zorn_Osucc(v_S,X1,t_a) = c_Zorn_Osucc(v_S,v_m,t_a)). % 0.12/0.35 cnf(c10, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_function_extension, [assumptions([a4])], [c8, c9])). % 0.12/0.35 cnf(c11, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_function_extension, [assumptions([a4])], [c8, c9])). % 0.12/0.35 cnf(c12, plain, % 0.12/0.35 X4 != v_m | ~c_lessequals(X4,v_m,tc_set(tc_set(t_a))), % 0.12/0.35 inference(strict_function_extension, [assumptions([a4])], [c8, c9])). % 0.12/0.35 % 0.12/0.35 cnf(a5, assumption, % 0.12/0.35 X4 = v_m). % 0.12/0.35 cnf(c13, plain, % 0.12/0.35 ~c_lessequals(X4,v_m,tc_set(tc_set(t_a))), % 0.12/0.35 inference(reflexivity, [assumptions([a5])], [c12])). % 0.12/0.35 % 0.12/0.35 cnf(c14, axiom, % 0.12/0.35 c_lessequals(X5,X5,tc_set(X6))). % 0.12/0.35 cnf(a6, assumption, % 0.12/0.35 X4 = X5). % 0.12/0.35 cnf(a7, assumption, % 0.12/0.35 v_m = X5). % 0.12/0.35 cnf(a8, assumption, % 0.12/0.35 tc_set(tc_set(t_a)) = tc_set(X6)). % 0.12/0.35 cnf(c15, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c13, c14])). % 0.12/0.35 cnf(c16, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c13, c14])). % 0.12/0.35 % 0.12/0.35 cnf(c17, axiom, % 0.12/0.35 ~c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a)))). % 0.12/0.35 cnf(a9, assumption, % 0.12/0.35 c_Zorn_Osucc(X2,X0,X3) = c_Zorn_Osucc(v_S,v_x,t_a)). % 0.12/0.35 cnf(a10, assumption, % 0.12/0.35 X1 = v_m). % 0.12/0.35 cnf(a11, assumption, % 0.12/0.35 tc_set(tc_set(X3)) = tc_set(tc_set(t_a))). % 0.12/0.35 cnf(c18, plain, % 0.12/0.35 ~c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) | ~c_in(X0,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c6, c17])). % 0.12/0.35 cnf(c19, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c6, c17])). % 0.12/0.35 % 0.12/0.35 cnf(c20, axiom, % 0.12/0.35 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))). % 0.12/0.35 cnf(a12, assumption, % 0.12/0.35 X1 = v_m). % 0.12/0.35 cnf(a13, assumption, % 0.12/0.35 c_Zorn_OTFin(X2,X3) = c_Zorn_OTFin(v_S,t_a)). % 0.12/0.35 cnf(a14, assumption, % 0.12/0.35 tc_set(tc_set(X3)) = tc_set(tc_set(t_a))). % 0.12/0.35 cnf(c21, plain, % 0.12/0.35 ~c_in(X0,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c18, c20])). % 0.12/0.35 cnf(c22, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c18, c20])). % 0.12/0.35 % 0.12/0.35 cnf(c23, axiom, % 0.12/0.35 c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))). % 0.12/0.35 cnf(a15, assumption, % 0.12/0.35 X0 = v_x). % 0.12/0.35 cnf(a16, assumption, % 0.12/0.35 c_Zorn_OTFin(X2,X3) = c_Zorn_OTFin(v_S,t_a)). % 0.12/0.35 cnf(a17, assumption, % 0.12/0.35 tc_set(tc_set(X3)) = tc_set(tc_set(t_a))). % 0.12/0.35 cnf(c24, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c21, c23])). % 0.12/0.35 cnf(c25, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c21, c23])). % 0.12/0.35 % 0.12/0.35 cnf(c26, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(constraint_solving, [ % 0.12/0.35 bind(X0, v_x), % 0.12/0.35 bind(X1, v_m), % 0.12/0.35 bind(X2, v_S), % 0.12/0.35 bind(X3, t_a), % 0.12/0.35 bind(X4, v_m), % 0.12/0.35 bind(X5, v_m), % 0.12/0.35 bind(X6, tc_set(t_a)) % 0.12/0.35 ], % 0.12/0.35 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17])). % 0.12/0.35 % 0.12/0.35 % SZS output end IncompleteProof %------------------------------------------------------------------------------