%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LAT268-2 : 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 : n014.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 05:38:47 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 : LAT268-2 : 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 : n014.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 : Wed Jun 29 00:20:27 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_in(v_x,v_S,t_a)). % 0.13/0.35 cnf(c1, plain, % 0.13/0.35 c_in(v_x,v_S,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_in(c_Pair(X0,c_Tarski_Olub(X1,X2,X3),X3,X3),c_Tarski_Opotype_Oorder(X2,X3,tc_Product__Type_Ounit),tc_prod(X3,X3)) | ~c_lessequals(X1,c_Tarski_Opotype_Opset(X2,X3,tc_Product__Type_Ounit),tc_set(X3)) | ~c_in(X2,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)) | ~c_in(X2,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)) | ~c_in(X0,X1,X3)). % 0.13/0.35 cnf(a0, assumption, % 0.13/0.35 v_x = X0). % 0.13/0.35 cnf(a1, assumption, % 0.13/0.35 v_S = X1). % 0.13/0.35 cnf(a2, assumption, % 0.13/0.35 t_a = X3). % 0.13/0.35 cnf(c3, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.13/0.35 cnf(c4, plain, % 0.13/0.35 c_in(c_Pair(X0,c_Tarski_Olub(X1,X2,X3),X3,X3),c_Tarski_Opotype_Oorder(X2,X3,tc_Product__Type_Ounit),tc_prod(X3,X3)) | ~c_lessequals(X1,c_Tarski_Opotype_Opset(X2,X3,tc_Product__Type_Ounit),tc_set(X3)) | ~c_in(X2,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)) | ~c_in(X2,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.13/0.35 % 0.13/0.35 cnf(c5, axiom, % 0.13/0.35 c_in(c_Pair(X4,X5,X6,X6),c_Tarski_Opotype_Oorder(X7,X6,tc_Product__Type_Ounit),tc_prod(X6,X6)) | ~c_in(c_Pair(X5,X4,X6,X6),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X7,X6),X6,tc_Product__Type_Ounit),tc_prod(X6,X6))). % 0.13/0.35 cnf(a3, assumption, % 0.13/0.35 c_Pair(X0,c_Tarski_Olub(X1,X2,X3),X3,X3) = c_Pair(X5,X4,X6,X6)). % 0.13/0.35 cnf(a4, assumption, % 0.13/0.35 c_Tarski_Opotype_Oorder(X2,X3,tc_Product__Type_Ounit) = c_Tarski_Opotype_Oorder(c_Tarski_Odual(X7,X6),X6,tc_Product__Type_Ounit)). % 0.13/0.35 cnf(a5, assumption, % 0.13/0.35 tc_prod(X3,X3) = tc_prod(X6,X6)). % 0.13/0.35 cnf(c6, plain, % 0.13/0.35 ~c_lessequals(X1,c_Tarski_Opotype_Opset(X2,X3,tc_Product__Type_Ounit),tc_set(X3)) | ~c_in(X2,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)) | ~c_in(X2,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.13/0.35 cnf(c7, plain, % 0.13/0.35 c_in(c_Pair(X4,X5,X6,X6),c_Tarski_Opotype_Oorder(X7,X6,tc_Product__Type_Ounit),tc_prod(X6,X6)), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.13/0.35 % 0.13/0.35 cnf(c8, axiom, % 0.13/0.35 v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)). % 0.13/0.35 cnf(a6, assumption, % 0.13/0.35 c_Tarski_Opotype_Oorder(X7,X6,tc_Product__Type_Ounit) = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)). % 0.13/0.35 cnf(c9, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_function_extension, [assumptions([a6])], [c7, c8])). % 0.13/0.35 cnf(c10, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_function_extension, [assumptions([a6])], [c7, c8])). % 0.13/0.35 cnf(c11, plain, % 0.13/0.35 X8 != v_r | c_in(c_Pair(X4,X5,X6,X6),X8,tc_prod(X6,X6)), % 0.13/0.35 inference(strict_function_extension, [assumptions([a6])], [c7, c8])). % 0.13/0.35 % 0.13/0.35 cnf(a7, assumption, % 0.13/0.35 X8 = v_r). % 0.13/0.35 cnf(c12, plain, % 0.13/0.35 c_in(c_Pair(X4,X5,X6,X6),X8,tc_prod(X6,X6)), % 0.13/0.35 inference(reflexivity, [assumptions([a7])], [c11])). % 0.13/0.35 % 0.13/0.35 cnf(c13, axiom, % 0.13/0.35 ~c_in(c_Pair(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a))). % 0.13/0.35 cnf(a8, assumption, % 0.13/0.35 c_Pair(X4,X5,X6,X6) = c_Pair(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_x,t_a,t_a)). % 0.13/0.35 cnf(a9, assumption, % 0.13/0.35 X8 = v_r). % 0.13/0.35 cnf(a10, assumption, % 0.13/0.35 tc_prod(X6,X6) = tc_prod(t_a,t_a)). % 0.13/0.35 cnf(c14, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c12, c13])). % 0.13/0.35 cnf(c15, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c12, c13])). % 0.13/0.35 % 0.13/0.35 cnf(c16, axiom, % 0.13/0.35 c_Tarski_Opotype_Opset(X9,X10,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(c_Tarski_Odual(X9,X10),X10,tc_Product__Type_Ounit)). % 0.13/0.35 cnf(a11, assumption, % 0.13/0.35 c_Tarski_Opotype_Opset(X2,X3,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(c_Tarski_Odual(X9,X10),X10,tc_Product__Type_Ounit)). % 0.13/0.35 cnf(c17, plain, % 0.13/0.35 ~c_in(X2,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)) | ~c_in(X2,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)), % 0.13/0.35 inference(strict_function_extension, [assumptions([a11])], [c6, c16])). % 0.13/0.35 cnf(c18, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_function_extension, [assumptions([a11])], [c6, c16])). % 0.13/0.35 cnf(c19, plain, % 0.13/0.35 X11 != c_Tarski_Opotype_Opset(X9,X10,tc_Product__Type_Ounit) | ~c_lessequals(X1,X11,tc_set(X3)), % 0.13/0.35 inference(strict_function_extension, [assumptions([a11])], [c6, c16])). % 0.13/0.35 % 0.13/0.35 cnf(c20, axiom, % 0.13/0.35 v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)). % 0.13/0.35 cnf(a12, assumption, % 0.13/0.35 c_Tarski_Opotype_Opset(X9,X10,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)). % 0.13/0.35 cnf(c21, plain, % 0.13/0.35 ~c_lessequals(X1,X11,tc_set(X3)), % 0.13/0.35 inference(strict_function_extension, [assumptions([a12])], [c19, c20])). % 0.13/0.35 cnf(c22, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_function_extension, [assumptions([a12])], [c19, c20])). % 0.13/0.35 cnf(c23, plain, % 0.13/0.35 X12 != v_A | X11 != X12, % 0.13/0.35 inference(strict_function_extension, [assumptions([a12])], [c19, c20])). % 0.13/0.35 % 0.13/0.35 cnf(a13, assumption, % 0.13/0.35 X12 = v_A). % 0.13/0.35 cnf(c24, plain, % 0.13/0.35 X11 != X12, % 0.13/0.35 inference(reflexivity, [assumptions([a13])], [c23])). % 0.13/0.35 % 0.13/0.35 cnf(a14, assumption, % 0.13/0.35 X11 = X12). % 0.13/0.35 cnf(c25, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(reflexivity, [assumptions([a14])], [c24])). % 0.13/0.35 % 0.13/0.35 cnf(c26, axiom, % 0.13/0.35 c_lessequals(v_S,v_A,tc_set(t_a))). % 0.13/0.35 cnf(a15, assumption, % 0.13/0.35 X1 = v_S). % 0.13/0.35 cnf(a16, assumption, % 0.13/0.35 X11 = v_A). % 0.13/0.35 cnf(a17, assumption, % 0.13/0.35 tc_set(X3) = tc_set(t_a)). % 0.13/0.35 cnf(c27, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c21, c26])). % 0.13/0.35 cnf(c28, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c21, c26])). % 0.13/0.35 % 0.13/0.35 cnf(c29, axiom, % 0.13/0.35 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))). % 0.13/0.35 cnf(a18, assumption, % 0.13/0.35 X2 = c_Tarski_Odual(v_cl,t_a)). % 0.13/0.35 cnf(a19, assumption, % 0.13/0.35 c_Tarski_OPartialOrder = c_Tarski_OPartialOrder). % 0.13/0.35 cnf(a20, assumption, % 0.13/0.35 tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit) = tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)). % 0.13/0.35 cnf(c30, plain, % 0.13/0.35 ~c_in(X2,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c17, c29])). % 0.13/0.35 cnf(c31, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c17, c29])). % 0.13/0.35 % 0.13/0.35 cnf(c32, axiom, % 0.13/0.35 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))). % 0.13/0.35 cnf(a21, assumption, % 0.13/0.35 X2 = c_Tarski_Odual(v_cl,t_a)). % 0.13/0.35 cnf(a22, assumption, % 0.13/0.35 c_Tarski_OCompleteLattice = c_Tarski_OCompleteLattice). % 0.13/0.35 cnf(a23, assumption, % 0.13/0.35 tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit) = tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)). % 0.13/0.35 cnf(c33, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c30, c32])). % 0.13/0.35 cnf(c34, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c30, c32])). % 0.13/0.35 % 0.13/0.35 cnf(c35, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(constraint_solving, [ % 0.13/0.35 bind(X0, v_x), % 0.13/0.35 bind(X1, v_S), % 0.13/0.35 bind(X2, c_Tarski_Odual(X7,X6)), % 0.13/0.35 bind(X3, t_a), % 0.13/0.35 bind(X4, c_Tarski_Olub(X1,X2,X3)), % 0.13/0.35 bind(X5, v_x), % 0.13/0.35 bind(X6, t_a), % 0.13/0.35 bind(X7, v_cl), % 0.13/0.35 bind(X8, v_r), % 0.13/0.35 bind(X9, v_cl), % 0.13/0.35 bind(X10, t_a), % 0.13/0.35 bind(X11, v_A), % 0.13/0.35 bind(X12, v_A) % 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, a18, a19, a20, a21, a22, a23])). % 0.13/0.35 % 0.13/0.35 % SZS output end IncompleteProof %------------------------------------------------------------------------------