%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET847-2 : 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 : n003.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 02:48:39 EDT 2022 % Result : Unsatisfiable 0.12s 0.37s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET847-2 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n003.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 : Sat Jul 9 21:45:13 EDT 2022 % 0.12/0.33 % CPUTime : % 0.12/0.37 % SZS status Unsatisfiable % 0.12/0.37 % SZS output begin IncompleteProof % 0.12/0.37 cnf(c0, axiom, % 0.12/0.37 ~c_in(X0,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))). % 0.12/0.37 cnf(c1, plain, % 0.12/0.37 ~c_in(X0,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))), % 0.12/0.37 inference(start, [], [c0])). % 0.12/0.37 % 0.12/0.37 cnf(c2, axiom, % 0.12/0.37 c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) | c_in(X1,X3,X4) | ~c_in(X1,X2,X4)). % 0.12/0.37 cnf(a0, assumption, % 0.12/0.37 X0 = X1). % 0.12/0.37 cnf(a1, assumption, % 0.12/0.37 c_Zorn_Omaxchain(v_S,t_a) = X3). % 0.12/0.37 cnf(a2, assumption, % 0.12/0.37 tc_set(tc_set(t_a)) = X4). % 0.12/0.37 cnf(c3, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.12/0.37 cnf(c4, plain, % 0.12/0.37 c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) | ~c_in(X1,X2,X4), % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.12/0.37 % 0.12/0.37 cnf(c5, axiom, % 0.12/0.37 c_Zorn_Osucc(X5,X6,X7) != X6 | ~c_in(X6,c_minus(c_Zorn_Ochain(X5,X7),c_Zorn_Omaxchain(X5,X7),tc_set(tc_set(tc_set(X7)))),tc_set(tc_set(X7)))). % 0.12/0.37 cnf(a3, assumption, % 0.12/0.37 X1 = X6). % 0.12/0.37 cnf(a4, assumption, % 0.12/0.37 c_minus(X2,X3,tc_set(X4)) = c_minus(c_Zorn_Ochain(X5,X7),c_Zorn_Omaxchain(X5,X7),tc_set(tc_set(tc_set(X7))))). % 0.12/0.37 cnf(a5, assumption, % 0.12/0.37 X4 = tc_set(tc_set(X7))). % 0.12/0.37 cnf(c6, plain, % 0.12/0.37 ~c_in(X1,X2,X4), % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.12/0.37 cnf(c7, plain, % 0.12/0.37 c_Zorn_Osucc(X5,X6,X7) != X6, % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.12/0.37 % 0.12/0.37 cnf(c8, axiom, % 0.12/0.37 c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9)) = c_Zorn_Osucc(X8,c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9)),X9) | ~c_in(c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9)),c_Zorn_OTFin(X8,X9),tc_set(tc_set(X9)))). % 0.12/0.37 cnf(a6, assumption, % 0.12/0.37 c_Zorn_Osucc(X5,X6,X7) = c_Zorn_Osucc(X8,c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9)),X9)). % 0.12/0.37 cnf(c9, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(strict_function_extension, [assumptions([a6])], [c7, c8])). % 0.12/0.37 cnf(c10, plain, % 0.12/0.37 ~c_in(c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9)),c_Zorn_OTFin(X8,X9),tc_set(tc_set(X9))), % 0.12/0.37 inference(strict_function_extension, [assumptions([a6])], [c7, c8])). % 0.12/0.37 cnf(c11, plain, % 0.12/0.37 X10 != c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9)) | X10 != X6, % 0.12/0.37 inference(strict_function_extension, [assumptions([a6])], [c7, c8])). % 0.12/0.37 % 0.12/0.37 cnf(a7, assumption, % 0.12/0.37 X10 = c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9))). % 0.12/0.37 cnf(c12, plain, % 0.12/0.37 X10 != X6, % 0.12/0.37 inference(reflexivity, [assumptions([a7])], [c11])). % 0.12/0.37 % 0.12/0.37 cnf(a8, assumption, % 0.12/0.37 X10 = X6). % 0.12/0.37 cnf(c13, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(reflexivity, [assumptions([a8])], [c12])). % 0.12/0.37 % 0.12/0.37 cnf(c14, axiom, % 0.12/0.37 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))))). % 0.12/0.37 cnf(a9, assumption, % 0.12/0.37 c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9)) = c_Union(X11,tc_set(X12))). % 0.12/0.37 cnf(a10, assumption, % 0.12/0.37 c_Zorn_OTFin(X8,X9) = c_Zorn_OTFin(X13,X12)). % 0.12/0.37 cnf(a11, assumption, % 0.12/0.37 tc_set(tc_set(X9)) = tc_set(tc_set(X12))). % 0.12/0.37 cnf(c15, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c14])). % 0.12/0.37 cnf(c16, plain, % 0.12/0.37 ~c_lessequals(X11,c_Zorn_OTFin(X13,X12),tc_set(tc_set(tc_set(X12)))), % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c14])). % 0.12/0.37 % 0.12/0.37 cnf(c17, axiom, % 0.12/0.37 c_lessequals(X14,X14,tc_set(X15))). % 0.12/0.37 cnf(a12, assumption, % 0.12/0.37 X11 = X14). % 0.12/0.37 cnf(a13, assumption, % 0.12/0.37 c_Zorn_OTFin(X13,X12) = X14). % 0.12/0.37 cnf(a14, assumption, % 0.12/0.37 tc_set(tc_set(tc_set(X12))) = tc_set(X15)). % 0.12/0.37 cnf(c18, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c16, c17])). % 0.12/0.37 cnf(c19, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c16, c17])). % 0.12/0.37 % 0.12/0.37 cnf(c20, axiom, % 0.12/0.37 c_in(X16,c_Zorn_Ochain(X17,X18),tc_set(tc_set(X18))) | ~c_in(X16,c_Zorn_OTFin(X17,X18),tc_set(tc_set(X18)))). % 0.12/0.37 cnf(a15, assumption, % 0.12/0.37 X1 = X16). % 0.12/0.37 cnf(a16, assumption, % 0.12/0.37 X2 = c_Zorn_Ochain(X17,X18)). % 0.12/0.37 cnf(a17, assumption, % 0.12/0.37 X4 = tc_set(tc_set(X18))). % 0.12/0.37 cnf(c21, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c6, c20])). % 0.12/0.37 cnf(c22, plain, % 0.12/0.37 ~c_in(X16,c_Zorn_OTFin(X17,X18),tc_set(tc_set(X18))), % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c6, c20])). % 0.12/0.37 % 0.12/0.37 cnf(c23, plain, % 0.12/0.37 c_in(c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9)),c_Zorn_OTFin(X8,X9),tc_set(tc_set(X9)))). % 0.12/0.37 cnf(a18, assumption, % 0.12/0.37 X16 = c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9))). % 0.12/0.37 cnf(a19, assumption, % 0.12/0.37 c_Zorn_OTFin(X17,X18) = c_Zorn_OTFin(X8,X9)). % 0.12/0.37 cnf(a20, assumption, % 0.12/0.37 tc_set(tc_set(X18)) = tc_set(tc_set(X9))). % 0.12/0.37 cnf(c24, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(predicate_reduction, [assumptions([a18, a19, a20])], [c22, c23])). % 0.12/0.37 % 0.12/0.37 cnf(c25, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(constraint_solving, [ % 0.12/0.37 bind(X0, c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9))), % 0.12/0.37 bind(X1, c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9))), % 0.12/0.37 bind(X2, c_Zorn_Ochain(X5,X7)), % 0.12/0.37 bind(X3, c_Zorn_Omaxchain(v_S,t_a)), % 0.12/0.37 bind(X4, tc_set(tc_set(t_a))), % 0.12/0.37 bind(X5, v_S), % 0.12/0.37 bind(X6, c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9))), % 0.12/0.37 bind(X7, t_a), % 0.12/0.37 bind(X8, v_S), % 0.12/0.37 bind(X9, t_a), % 0.12/0.37 bind(X10, c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9))), % 0.12/0.37 bind(X11, c_Zorn_OTFin(X8,X9)), % 0.12/0.37 bind(X12, t_a), % 0.12/0.37 bind(X13, v_S), % 0.12/0.37 bind(X14, c_Zorn_OTFin(X8,X9)), % 0.12/0.37 bind(X15, tc_set(tc_set(X12))), % 0.12/0.37 bind(X16, c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9))), % 0.12/0.37 bind(X17, v_S), % 0.12/0.37 bind(X18, t_a) % 0.12/0.37 ], % 0.12/0.37 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20])). % 0.12/0.37 % 0.12/0.37 % SZS output end IncompleteProof %------------------------------------------------------------------------------