%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LAT263-2 : 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 : n005.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 : Sun Jul 17 05:38:43 EDT 2022 % Result : Unsatisfiable 0.12s 0.34s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : LAT263-2 : TPTP v8.1.0. Released v3.2.0. % 0.06/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n005.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 : Wed Jun 29 05:43:38 EDT 2022 % 0.12/0.33 % CPUTime : % 0.12/0.34 % SZS status Unsatisfiable % 0.12/0.34 % SZS output begin IncompleteProof % 0.12/0.34 cnf(c0, axiom, % 0.12/0.34 ~c_in(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a)). % 0.12/0.34 cnf(c1, plain, % 0.12/0.34 ~c_in(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a), % 0.12/0.34 inference(start, [], [c0])). % 0.12/0.34 % 0.12/0.34 cnf(c2, axiom, % 0.12/0.34 c_in(c_Tarski_Olub(X0,X1,X2),c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),X2) | ~c_lessequals(X0,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2)) | ~c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)) | ~c_in(X1,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))). % 0.12/0.34 cnf(a0, assumption, % 0.12/0.34 X3 = c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a)). % 0.12/0.34 cnf(a1, assumption, % 0.12/0.34 X4 = v_A). % 0.12/0.34 cnf(a2, assumption, % 0.12/0.34 X5 = t_a). % 0.12/0.34 cnf(c3, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(lazy_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.12/0.34 cnf(c4, plain, % 0.12/0.34 ~c_lessequals(X0,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2)) | ~c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)) | ~c_in(X1,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)), % 0.12/0.34 inference(lazy_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.12/0.34 cnf(c5, plain, % 0.12/0.34 c_Tarski_Olub(X0,X1,X2) != X3 | c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit) != X4 | X2 != X5, % 0.12/0.34 inference(lazy_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.12/0.34 % 0.12/0.34 cnf(a3, assumption, % 0.12/0.34 c_Tarski_Olub(X0,X1,X2) = X3). % 0.12/0.34 cnf(c6, plain, % 0.12/0.34 c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit) != X4 | X2 != X5, % 0.12/0.34 inference(reflexivity, [assumptions([a3])], [c5])). % 0.12/0.34 % 0.12/0.34 cnf(c7, axiom, % 0.12/0.34 c_Tarski_Opotype_Opset(X6,X7,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(c_Tarski_Odual(X6,X7),X7,tc_Product__Type_Ounit)). % 0.12/0.34 cnf(a4, assumption, % 0.12/0.34 c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(c_Tarski_Odual(X6,X7),X7,tc_Product__Type_Ounit)). % 0.12/0.34 cnf(c8, plain, % 0.12/0.34 X2 != X5, % 0.12/0.34 inference(strict_function_extension, [assumptions([a4])], [c6, c7])). % 0.12/0.34 cnf(c9, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_function_extension, [assumptions([a4])], [c6, c7])). % 0.12/0.34 cnf(c10, plain, % 0.12/0.34 X8 != c_Tarski_Opotype_Opset(X6,X7,tc_Product__Type_Ounit) | X8 != X4, % 0.12/0.34 inference(strict_function_extension, [assumptions([a4])], [c6, c7])). % 0.12/0.34 % 0.12/0.34 cnf(c11, axiom, % 0.12/0.34 v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)). % 0.12/0.34 cnf(a5, assumption, % 0.12/0.34 c_Tarski_Opotype_Opset(X6,X7,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)). % 0.12/0.34 cnf(c12, plain, % 0.12/0.34 X8 != X4, % 0.12/0.34 inference(strict_function_extension, [assumptions([a5])], [c10, c11])). % 0.12/0.34 cnf(c13, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_function_extension, [assumptions([a5])], [c10, c11])). % 0.12/0.34 cnf(c14, plain, % 0.12/0.34 X9 != v_A | X8 != X9, % 0.12/0.34 inference(strict_function_extension, [assumptions([a5])], [c10, c11])). % 0.12/0.34 % 0.12/0.34 cnf(a6, assumption, % 0.12/0.34 X9 = v_A). % 0.12/0.34 cnf(c15, plain, % 0.12/0.34 X8 != X9, % 0.12/0.34 inference(reflexivity, [assumptions([a6])], [c14])). % 0.12/0.34 % 0.12/0.34 cnf(a7, assumption, % 0.12/0.34 X8 = X9). % 0.12/0.34 cnf(c16, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(reflexivity, [assumptions([a7])], [c15])). % 0.12/0.34 % 0.12/0.34 cnf(a8, assumption, % 0.12/0.34 X8 = X4). % 0.12/0.34 cnf(c17, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(reflexivity, [assumptions([a8])], [c12])). % 0.12/0.34 % 0.12/0.34 cnf(a9, assumption, % 0.12/0.34 X2 = X5). % 0.12/0.34 cnf(c18, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(reflexivity, [assumptions([a9])], [c8])). % 0.12/0.34 % 0.12/0.34 cnf(c19, plain, % 0.12/0.34 c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit) = X4). % 0.12/0.34 cnf(a10, assumption, % 0.12/0.34 c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit)). % 0.12/0.34 cnf(c20, plain, % 0.12/0.34 ~c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)) | ~c_in(X1,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)), % 0.12/0.34 inference(equality_reduction, [assumptions([a10])], [c4, c19])). % 0.12/0.34 cnf(c21, plain, % 0.12/0.34 ~c_lessequals(X0,X4,tc_set(X2)), % 0.12/0.34 inference(equality_reduction, [assumptions([a10])], [c4, c19])). % 0.12/0.34 % 0.12/0.34 cnf(c22, axiom, % 0.12/0.34 c_lessequals(v_S,v_A,tc_set(t_a))). % 0.12/0.34 cnf(a11, assumption, % 0.12/0.34 X0 = v_S). % 0.12/0.34 cnf(a12, assumption, % 0.12/0.34 X4 = v_A). % 0.12/0.34 cnf(a13, assumption, % 0.12/0.34 tc_set(X2) = tc_set(t_a)). % 0.12/0.34 cnf(c23, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c21, c22])). % 0.12/0.34 cnf(c24, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c21, c22])). % 0.12/0.34 % 0.12/0.34 cnf(c25, axiom, % 0.12/0.34 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))). % 0.12/0.34 cnf(a14, assumption, % 0.12/0.34 X1 = c_Tarski_Odual(v_cl,t_a)). % 0.12/0.34 cnf(a15, assumption, % 0.12/0.34 c_Tarski_OPartialOrder = c_Tarski_OPartialOrder). % 0.12/0.34 cnf(a16, assumption, % 0.12/0.34 tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit) = tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)). % 0.12/0.34 cnf(c26, plain, % 0.12/0.34 ~c_in(X1,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c20, c25])). % 0.12/0.34 cnf(c27, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c20, c25])). % 0.12/0.34 % 0.12/0.34 cnf(c28, axiom, % 0.12/0.34 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))). % 0.12/0.34 cnf(a17, assumption, % 0.12/0.34 X1 = c_Tarski_Odual(v_cl,t_a)). % 0.12/0.34 cnf(a18, assumption, % 0.12/0.34 c_Tarski_OCompleteLattice = c_Tarski_OCompleteLattice). % 0.12/0.34 cnf(a19, assumption, % 0.12/0.34 tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit) = tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)). % 0.12/0.34 cnf(c29, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a17, a18, a19])], [c26, c28])). % 0.12/0.34 cnf(c30, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a17, a18, a19])], [c26, c28])). % 0.12/0.34 % 0.12/0.34 cnf(c31, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(constraint_solving, [ % 0.12/0.34 bind(X0, v_S), % 0.12/0.34 bind(X1, c_Tarski_Odual(v_cl,t_a)), % 0.12/0.34 bind(X2, t_a), % 0.12/0.34 bind(X3, c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a)), % 0.12/0.34 bind(X4, v_A), % 0.12/0.34 bind(X5, t_a), % 0.12/0.34 bind(X6, v_cl), % 0.12/0.34 bind(X7, t_a), % 0.12/0.34 bind(X8, v_A), % 0.12/0.34 bind(X9, v_A) % 0.12/0.34 ], % 0.12/0.34 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19])). % 0.12/0.34 % 0.12/0.34 % SZS output end IncompleteProof %------------------------------------------------------------------------------