%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET848-2 : 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 : n008.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 % 0.07/0.12 % Problem : SET848-2 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n008.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 06:58:53 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_Zorn_Osucc(X0,X1,X2) != X1 | ~c_in(X1,c_minus(c_Zorn_Ochain(X0,X2),c_Zorn_Omaxchain(X0,X2),tc_set(tc_set(tc_set(X2)))),tc_set(tc_set(X2)))). % 0.13/0.35 cnf(a0, assumption, % 0.13/0.35 c_Zorn_Osucc(X0,X1,X2) = 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(a1, assumption, % 0.13/0.35 c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) = X3). % 0.13/0.35 cnf(c3, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 0.13/0.35 cnf(c4, plain, % 0.13/0.35 ~c_in(X1,c_minus(c_Zorn_Ochain(X0,X2),c_Zorn_Omaxchain(X0,X2),tc_set(tc_set(tc_set(X2)))),tc_set(tc_set(X2))), % 0.13/0.35 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 0.13/0.35 cnf(c5, plain, % 0.13/0.35 X3 != X1, % 0.13/0.35 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 0.13/0.35 % 0.13/0.35 cnf(a2, assumption, % 0.13/0.35 X3 = X1). % 0.13/0.35 cnf(c6, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(reflexivity, [assumptions([a2])], [c5])). % 0.13/0.35 % 0.13/0.35 cnf(c7, axiom, % 0.13/0.35 c_in(X4,c_minus(X5,X6,tc_set(X7)),X7) | c_in(X4,X6,X7) | ~c_in(X4,X5,X7)). % 0.13/0.35 cnf(a3, assumption, % 0.13/0.35 X1 = X4). % 0.13/0.35 cnf(a4, assumption, % 0.13/0.35 c_minus(c_Zorn_Ochain(X0,X2),c_Zorn_Omaxchain(X0,X2),tc_set(tc_set(tc_set(X2)))) = c_minus(X5,X6,tc_set(X7))). % 0.13/0.35 cnf(a5, assumption, % 0.13/0.35 tc_set(tc_set(X2)) = X7). % 0.13/0.35 cnf(c8, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c7])). % 0.13/0.35 cnf(c9, plain, % 0.13/0.35 c_in(X4,X6,X7) | ~c_in(X4,X5,X7), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c7])). % 0.13/0.35 % 0.13/0.35 cnf(c10, axiom, % 0.13/0.35 ~c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))). % 0.13/0.35 cnf(a6, assumption, % 0.13/0.35 X4 = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))). % 0.13/0.35 cnf(a7, assumption, % 0.13/0.35 X6 = c_Zorn_Omaxchain(v_S,t_a)). % 0.13/0.35 cnf(a8, assumption, % 0.13/0.35 X7 = tc_set(tc_set(t_a))). % 0.13/0.35 cnf(c11, plain, % 0.13/0.35 ~c_in(X4,X5,X7), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c9, c10])). % 0.13/0.35 cnf(c12, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c9, c10])). % 0.13/0.35 % 0.13/0.35 cnf(c13, axiom, % 0.13/0.35 c_in(X8,c_Zorn_Ochain(X9,X10),tc_set(tc_set(X10))) | ~c_in(X8,c_Zorn_OTFin(X9,X10),tc_set(tc_set(X10)))). % 0.13/0.35 cnf(a9, assumption, % 0.13/0.35 X4 = X8). % 0.13/0.35 cnf(a10, assumption, % 0.13/0.35 X5 = c_Zorn_Ochain(X9,X10)). % 0.13/0.35 cnf(a11, assumption, % 0.13/0.35 X7 = tc_set(tc_set(X10))). % 0.13/0.35 cnf(c14, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c11, c13])). % 0.13/0.35 cnf(c15, plain, % 0.13/0.35 ~c_in(X8,c_Zorn_OTFin(X9,X10),tc_set(tc_set(X10))), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c11, c13])). % 0.13/0.35 % 0.13/0.35 cnf(c16, axiom, % 0.13/0.35 c_in(c_Union(X11,tc_set(X12)),c_Zorn_OTFin(X13,X12),tc_set(tc_set(X12))) | ~c_lessequals(X11,c_Zorn_OTFin(X13,X12),tc_set(tc_set(tc_set(X12))))). % 0.13/0.35 cnf(a12, assumption, % 0.13/0.35 X8 = c_Union(X11,tc_set(X12))). % 0.13/0.35 cnf(a13, assumption, % 0.13/0.35 c_Zorn_OTFin(X9,X10) = c_Zorn_OTFin(X13,X12)). % 0.13/0.35 cnf(a14, assumption, % 0.13/0.35 tc_set(tc_set(X10)) = tc_set(tc_set(X12))). % 0.13/0.35 cnf(c17, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c15, c16])). % 0.13/0.35 cnf(c18, plain, % 0.13/0.35 ~c_lessequals(X11,c_Zorn_OTFin(X13,X12),tc_set(tc_set(tc_set(X12)))), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c15, c16])). % 0.13/0.35 % 0.13/0.35 cnf(c19, axiom, % 0.13/0.35 c_lessequals(X14,X14,tc_set(X15))). % 0.13/0.35 cnf(a15, assumption, % 0.13/0.35 X11 = X14). % 0.13/0.35 cnf(a16, assumption, % 0.13/0.35 c_Zorn_OTFin(X13,X12) = X14). % 0.13/0.35 cnf(a17, assumption, % 0.13/0.35 tc_set(tc_set(tc_set(X12))) = tc_set(X15)). % 0.13/0.35 cnf(c20, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c18, c19])). % 0.13/0.35 cnf(c21, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c18, c19])). % 0.13/0.35 % 0.13/0.35 cnf(c22, 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, c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))), % 0.13/0.35 bind(X2, t_a), % 0.13/0.35 bind(X3, c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))), % 0.13/0.35 bind(X4, c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))), % 0.13/0.35 bind(X5, c_Zorn_Ochain(X0,X2)), % 0.13/0.35 bind(X6, c_Zorn_Omaxchain(X0,X2)), % 0.13/0.35 bind(X7, tc_set(tc_set(X2))), % 0.13/0.35 bind(X8, c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))), % 0.13/0.35 bind(X9, v_S), % 0.13/0.35 bind(X10, t_a), % 0.13/0.35 bind(X11, c_Zorn_OTFin(v_S,t_a)), % 0.13/0.35 bind(X12, t_a), % 0.13/0.35 bind(X13, v_S), % 0.13/0.35 bind(X14, c_Zorn_OTFin(v_S,t_a)), % 0.13/0.35 bind(X15, tc_set(tc_set(X12))) % 0.13/0.35 ], % 0.13/0.35 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17])). % 0.13/0.35 % 0.13/0.35 % SZS output end IncompleteProof %------------------------------------------------------------------------------