%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LAT276-2 : 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 : n029.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 05:38:52 EDT 2022 % Result : Unsatisfiable 69.70s 9.19s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : LAT276-2 : TPTP v8.1.0. Released v3.2.0. % 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n029.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 15:26:52 EDT 2022 % 0.12/0.33 % CPUTime : % 69.70/9.19 % SZS status Unsatisfiable % 69.70/9.19 % SZS output begin IncompleteProof % 69.70/9.19 cnf(c0, axiom, % 69.70/9.19 c_lessequals(v_S,v_A,tc_set(t_a))). % 69.70/9.19 cnf(c1, plain, % 69.70/9.19 c_lessequals(v_S,v_A,tc_set(t_a)), % 69.70/9.19 inference(start, [], [c0])). % 69.70/9.19 % 69.70/9.19 cnf(c2, axiom, % 69.70/9.19 c_in(X0,X1,X2) | ~c_lessequals(X3,X1,tc_set(X2)) | ~c_in(X0,X3,X2)). % 69.70/9.19 cnf(a0, assumption, % 69.70/9.19 v_S = X3). % 69.70/9.19 cnf(a1, assumption, % 69.70/9.19 v_A = X1). % 69.70/9.19 cnf(a2, assumption, % 69.70/9.19 tc_set(t_a) = tc_set(X2)). % 69.70/9.19 cnf(c3, plain, % 69.70/9.19 $false, % 69.70/9.19 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 69.70/9.19 cnf(c4, plain, % 69.70/9.19 c_in(X0,X1,X2) | ~c_in(X0,X3,X2), % 69.70/9.19 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 69.70/9.19 % 69.70/9.19 cnf(c5, axiom, % 69.70/9.19 c_in(c_Pair(c_Tarski_Olub(X4,v_cl,t_a),X5,t_a,t_a),v_r,tc_prod(t_a,t_a)) | ~c_lessequals(X4,v_A,tc_set(t_a)) | ~c_in(c_Pair(v_sko__4mP(X5,X4,v_r),X5,t_a,t_a),v_r,tc_prod(t_a,t_a)) | ~c_in(X5,v_A,t_a)). % 69.70/9.19 cnf(a3, assumption, % 69.70/9.19 X0 = X5). % 69.70/9.19 cnf(a4, assumption, % 69.70/9.19 X1 = v_A). % 69.70/9.19 cnf(a5, assumption, % 69.70/9.19 X2 = t_a). % 69.70/9.19 cnf(c6, plain, % 69.70/9.19 ~c_in(X0,X3,X2), % 69.70/9.19 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 69.70/9.19 cnf(c7, plain, % 69.70/9.19 c_in(c_Pair(c_Tarski_Olub(X4,v_cl,t_a),X5,t_a,t_a),v_r,tc_prod(t_a,t_a)) | ~c_lessequals(X4,v_A,tc_set(t_a)) | ~c_in(c_Pair(v_sko__4mP(X5,X4,v_r),X5,t_a,t_a),v_r,tc_prod(t_a,t_a)), % 69.70/9.19 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 69.70/9.19 % 69.70/9.19 cnf(c8, axiom, % 69.70/9.19 ~c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) | ~c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))). % 69.70/9.19 cnf(a6, assumption, % 69.70/9.19 X6 = c_Pair(c_Tarski_Olub(X4,v_cl,t_a),X5,t_a,t_a)). % 69.70/9.19 cnf(a7, assumption, % 69.70/9.19 X7 = v_r). % 69.70/9.19 cnf(a8, assumption, % 69.70/9.19 X8 = tc_prod(t_a,t_a)). % 69.70/9.19 cnf(c9, plain, % 69.70/9.19 ~c_lessequals(X4,v_A,tc_set(t_a)) | ~c_in(c_Pair(v_sko__4mP(X5,X4,v_r),X5,t_a,t_a),v_r,tc_prod(t_a,t_a)), % 69.70/9.19 inference(lazy_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 69.70/9.19 cnf(c10, plain, % 69.70/9.19 ~c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)), % 69.70/9.19 inference(lazy_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 69.70/9.19 cnf(c11, plain, % 69.70/9.19 c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a) != X6 | c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) != X7 | tc_prod(t_a,t_a) != X8, % 69.70/9.19 inference(lazy_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 69.70/9.19 % 69.70/9.19 cnf(a9, assumption, % 69.70/9.19 c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a) = X6). % 69.70/9.19 cnf(c12, plain, % 69.70/9.19 c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) != X7 | tc_prod(t_a,t_a) != X8, % 69.70/9.19 inference(reflexivity, [assumptions([a9])], [c11])). % 69.70/9.19 % 69.70/9.19 cnf(c13, axiom, % 69.70/9.19 c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r). % 69.70/9.19 cnf(a10, assumption, % 69.70/9.19 c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)). % 69.70/9.19 cnf(c14, plain, % 69.70/9.19 tc_prod(t_a,t_a) != X8, % 69.70/9.19 inference(strict_function_extension, [assumptions([a10])], [c12, c13])). % 69.70/9.19 cnf(c15, plain, % 69.70/9.19 $false, % 69.70/9.19 inference(strict_function_extension, [assumptions([a10])], [c12, c13])). % 69.70/9.19 cnf(c16, plain, % 69.70/9.19 X9 != v_r | X9 != X7, % 69.70/9.19 inference(strict_function_extension, [assumptions([a10])], [c12, c13])). % 69.70/9.19 % 69.70/9.19 cnf(a11, assumption, % 69.70/9.19 X9 = v_r). % 69.70/9.19 cnf(c17, plain, % 69.70/9.19 X9 != X7, % 69.70/9.19 inference(reflexivity, [assumptions([a11])], [c16])). % 69.70/9.19 % 69.70/9.19 cnf(a12, assumption, % 69.70/9.19 X9 = X7). % 69.70/9.19 cnf(c18, plain, % 69.70/9.19 $false, % 69.70/9.19 inference(reflexivity, [assumptions([a12])], [c17])). % 69.70/9.19 % 69.70/9.19 cnf(a13, assumption, % 69.70/9.19 tc_prod(t_a,t_a) = X8). % 69.70/9.19 cnf(c19, plain, % 69.70/9.19 $false, % 69.70/9.19 inference(reflexivity, [assumptions([a13])], [c14])). % 69.70/9.19 % 69.70/9.19 cnf(c20, plain, % 69.70/9.19 c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = X7). % 69.70/9.19 cnf(a14, assumption, % 69.70/9.19 c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)). % 69.70/9.19 cnf(c21, plain, % 69.70/9.19 $false, % 69.70/9.19 inference(equality_reduction, [assumptions([a14])], [c10, c20])). % 69.70/9.19 cnf(c22, plain, % 69.70/9.19 ~c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),X7,tc_prod(t_a,t_a)), % 69.70/9.19 inference(equality_reduction, [assumptions([a14])], [c10, c20])). % 69.70/9.19 % 69.70/9.19 cnf(c23, axiom, % 69.70/9.19 c_in(c_Pair(X10,c_Tarski_Olub(X11,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) | ~c_lessequals(X11,v_A,tc_set(t_a)) | ~c_in(X10,X11,t_a)). % 69.70/9.19 cnf(a15, assumption, % 69.70/9.19 c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a) = c_Pair(X10,c_Tarski_Olub(X11,v_cl,t_a),t_a,t_a)). % 69.70/9.19 cnf(a16, assumption, % 69.70/9.19 X7 = v_r). % 69.70/9.19 cnf(a17, assumption, % 69.70/9.19 tc_prod(t_a,t_a) = tc_prod(t_a,t_a)). % 69.70/9.19 cnf(c24, plain, % 69.70/9.19 $false, % 69.70/9.19 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c22, c23])). % 69.70/9.19 cnf(c25, plain, % 69.70/9.19 ~c_lessequals(X11,v_A,tc_set(t_a)) | ~c_in(X10,X11,t_a), % 69.70/9.19 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c22, c23])). % 69.70/9.19 % 69.70/9.19 cnf(c26, plain, % 69.70/9.19 c_lessequals(v_S,v_A,tc_set(t_a))). % 69.70/9.19 cnf(a18, assumption, % 69.70/9.19 X11 = v_S). % 69.70/9.19 cnf(a19, assumption, % 69.70/9.19 v_A = v_A). % 69.70/9.19 cnf(a20, assumption, % 69.70/9.19 tc_set(t_a) = tc_set(t_a)). % 69.70/9.19 cnf(c27, plain, % 69.70/9.19 ~c_in(X10,X11,t_a), % 69.70/9.19 inference(predicate_reduction, [assumptions([a18, a19, a20])], [c25, c26])). % 69.70/9.19 % 69.70/9.19 cnf(c28, axiom, % 69.70/9.19 c_in(v_xa,v_S,t_a) | ~c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))). % 69.70/9.19 cnf(a21, assumption, % 69.70/9.19 X10 = v_xa). % 69.70/9.19 cnf(a22, assumption, % 69.70/9.19 X11 = v_S). % 69.70/9.19 cnf(a23, assumption, % 69.70/9.19 t_a = t_a). % 69.70/9.19 cnf(c29, plain, % 69.70/9.19 $false, % 69.70/9.19 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c27, c28])). % 69.70/9.19 cnf(c30, plain, % 69.70/9.19 ~c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)), % 69.70/9.19 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c27, c28])). % 69.70/9.19 % 69.70/9.19 cnf(c31, plain, % 69.70/9.19 c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))). % 69.70/9.19 cnf(a24, assumption, % 69.70/9.19 c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a) = c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a)). % 69.70/9.19 cnf(a25, assumption, % 69.70/9.19 c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)). % 69.70/9.19 cnf(a26, assumption, % 69.70/9.19 tc_prod(t_a,t_a) = tc_prod(t_a,t_a)). % 69.70/9.19 cnf(c32, plain, % 69.70/9.19 $false, % 69.70/9.19 inference(predicate_reduction, [assumptions([a24, a25, a26])], [c30, c31])). % 69.70/9.19 % 69.70/9.19 cnf(c33, plain, % 69.70/9.19 c_lessequals(v_S,v_A,tc_set(t_a))). % 69.70/9.19 cnf(a27, assumption, % 69.70/9.19 X4 = v_S). % 69.70/9.19 cnf(a28, assumption, % 69.70/9.19 v_A = v_A). % 69.70/9.19 cnf(a29, assumption, % 69.70/9.19 tc_set(t_a) = tc_set(t_a)). % 69.70/9.19 cnf(c34, plain, % 69.70/9.19 ~c_in(c_Pair(v_sko__4mP(X5,X4,v_r),X5,t_a,t_a),v_r,tc_prod(t_a,t_a)), % 69.70/9.19 inference(predicate_reduction, [assumptions([a27, a28, a29])], [c9, c33])). % 69.70/9.19 % 69.70/9.19 cnf(c35, axiom, % 69.70/9.19 ~c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) | ~c_in(X12,v_S,t_a) | c_in(c_Pair(X12,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))). % 69.70/9.19 cnf(a30, assumption, % 69.70/9.19 X13 = c_Pair(v_sko__4mP(X5,X4,v_r),X5,t_a,t_a)). % 69.70/9.19 cnf(a31, assumption, % 69.70/9.19 X14 = v_r). % 69.70/9.19 cnf(a32, assumption, % 69.70/9.19 X15 = tc_prod(t_a,t_a)). % 69.70/9.19 cnf(c36, plain, % 69.70/9.19 $false, % 69.70/9.19 inference(lazy_predicate_extension, [assumptions([a30, a31, a32])], [c34, c35])). % 69.70/9.19 cnf(c37, plain, % 69.70/9.19 ~c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) | ~c_in(X12,v_S,t_a), % 69.70/9.19 inference(lazy_predicate_extension, [assumptions([a30, a31, a32])], [c34, c35])). % 69.70/9.19 cnf(c38, plain, % 69.70/9.19 c_Pair(X12,v_xa,t_a,t_a) != X13 | c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) != X14 | tc_prod(t_a,t_a) != X15, % 69.70/9.19 inference(lazy_predicate_extension, [assumptions([a30, a31, a32])], [c34, c35])). % 69.70/9.19 % 69.70/9.19 cnf(a33, assumption, % 69.70/9.19 c_Pair(X12,v_xa,t_a,t_a) = X13). % 69.70/9.19 cnf(c39, plain, % 69.70/9.19 c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) != X14 | tc_prod(t_a,t_a) != X15, % 69.70/9.19 inference(reflexivity, [assumptions([a33])], [c38])). % 69.70/9.19 % 69.70/9.19 cnf(c40, plain, % 69.70/9.19 c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = X7). % 69.70/9.19 cnf(a34, assumption, % 69.70/9.19 c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)). % 69.70/9.19 cnf(c41, plain, % 69.70/9.19 tc_prod(t_a,t_a) != X15, % 69.70/9.19 inference(equality_reduction, [assumptions([a34])], [c39, c40])). % 69.70/9.19 cnf(c42, plain, % 69.70/9.19 X7 != X14, % 69.70/9.19 inference(equality_reduction, [assumptions([a34])], [c39, c40])). % 69.70/9.19 % 69.70/9.19 cnf(a35, assumption, % 69.70/9.19 X7 = X14). % 69.70/9.19 cnf(c43, plain, % 69.70/9.19 $false, % 69.70/9.19 inference(reflexivity, [assumptions([a35])], [c42])). % 69.70/9.19 % 69.70/9.19 cnf(a36, assumption, % 69.70/9.19 tc_prod(t_a,t_a) = X15). % 69.70/9.19 cnf(c44, plain, % 69.70/9.19 $false, % 69.70/9.19 inference(reflexivity, [assumptions([a36])], [c41])). % 69.70/9.19 % 69.70/9.19 cnf(c45, plain, % 69.70/9.19 c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = X7). % 69.70/9.19 cnf(a37, assumption, % 69.70/9.19 c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)). % 69.70/9.19 cnf(c46, plain, % 69.70/9.19 ~c_in(X12,v_S,t_a), % 69.70/9.19 inference(equality_reduction, [assumptions([a37])], [c37, c45])). % 69.70/9.19 cnf(c47, plain, % 69.70/9.19 ~c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),X7,tc_prod(t_a,t_a)), % 69.70/9.19 inference(equality_reduction, [assumptions([a37])], [c37, c45])). % 69.70/9.19 % 69.70/9.19 cnf(c48, axiom, % 69.70/9.19 c_in(c_Pair(X16,c_Tarski_Olub(X17,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) | ~c_lessequals(X17,v_A,tc_set(t_a)) | ~c_in(X16,X17,t_a)). % 69.70/9.19 cnf(a38, assumption, % 69.70/9.19 c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a) = c_Pair(X16,c_Tarski_Olub(X17,v_cl,t_a),t_a,t_a)). % 69.70/9.19 cnf(a39, assumption, % 69.70/9.19 X7 = v_r). % 69.70/9.19 cnf(a40, assumption, % 69.70/9.19 tc_prod(t_a,t_a) = tc_prod(t_a,t_a)). % 69.70/9.19 cnf(c49, plain, % 69.70/9.19 $false, % 69.70/9.19 inference(strict_predicate_extension, [assumptions([a38, a39, a40])], [c47, c48])). % 69.70/9.19 cnf(c50, plain, % 69.70/9.19 ~c_lessequals(X17,v_A,tc_set(t_a)) | ~c_in(X16,X17,t_a), % 69.70/9.19 inference(strict_predicate_extension, [assumptions([a38, a39, a40])], [c47, c48])). % 69.70/9.19 % 69.70/9.19 cnf(c51, plain, % 69.70/9.19 c_lessequals(v_S,v_A,tc_set(t_a))). % 69.70/9.19 cnf(a41, assumption, % 69.70/9.19 X17 = v_S). % 69.70/9.19 cnf(a42, assumption, % 69.70/9.19 v_A = v_A). % 69.70/9.19 cnf(a43, assumption, % 69.70/9.19 tc_set(t_a) = tc_set(t_a)). % 69.70/9.19 cnf(c52, plain, % 69.70/9.19 ~c_in(X16,X17,t_a), % 69.70/9.19 inference(predicate_reduction, [assumptions([a41, a42, a43])], [c50, c51])). % 69.70/9.19 % 69.70/9.19 cnf(c53, axiom, % 69.70/9.19 c_in(v_xa,v_S,t_a) | ~c_in(X18,v_S,t_a) | c_in(c_Pair(X18,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))). % 69.70/9.19 cnf(a44, assumption, % 69.70/9.19 X16 = v_xa). % 69.70/9.19 cnf(a45, assumption, % 69.70/9.19 X17 = v_S). % 69.70/9.19 cnf(a46, assumption, % 69.70/9.19 t_a = t_a). % 69.70/9.19 cnf(c54, plain, % 69.70/9.19 $false, % 69.70/9.19 inference(strict_predicate_extension, [assumptions([a44, a45, a46])], [c52, c53])). % 69.70/9.19 cnf(c55, plain, % 69.70/9.19 ~c_in(X18,v_S,t_a) | c_in(c_Pair(X18,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)), % 69.70/9.19 inference(strict_predicate_extension, [assumptions([a44, a45, a46])], [c52, c53])). % 69.70/9.19 % 69.70/9.19 cnf(c56, axiom, % 69.70/9.19 c_in(v_sko__4mP(X19,X20,v_r),X20,t_a) | c_in(c_Pair(c_Tarski_Olub(X20,v_cl,t_a),X19,t_a,t_a),v_r,tc_prod(t_a,t_a)) | ~c_lessequals(X20,v_A,tc_set(t_a)) | ~c_in(X19,v_A,t_a)). % 69.70/9.19 cnf(a47, assumption, % 69.70/9.19 X18 = v_sko__4mP(X19,X20,v_r)). % 69.70/9.19 cnf(a48, assumption, % 69.70/9.19 v_S = X20). % 69.70/9.19 cnf(a49, assumption, % 69.70/9.19 t_a = t_a). % 69.70/9.19 cnf(c57, plain, % 69.70/9.19 c_in(c_Pair(X18,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)), % 69.70/9.19 inference(strict_predicate_extension, [assumptions([a47, a48, a49])], [c55, c56])). % 69.70/9.19 cnf(c58, plain, % 69.70/9.19 c_in(c_Pair(c_Tarski_Olub(X20,v_cl,t_a),X19,t_a,t_a),v_r,tc_prod(t_a,t_a)) | ~c_lessequals(X20,v_A,tc_set(t_a)) | ~c_in(X19,v_A,t_a), % 69.70/9.19 inference(strict_predicate_extension, [assumptions([a47, a48, a49])], [c55, c56])). % 69.70/9.19 % 69.70/9.19 cnf(c59, plain, % 69.70/9.19 ~c_in(c_Pair(c_Tarski_Olub(X4,v_cl,t_a),X5,t_a,t_a),v_r,tc_prod(t_a,t_a))). % 69.70/9.19 cnf(a50, assumption, % 69.70/9.19 c_Pair(c_Tarski_Olub(X20,v_cl,t_a),X19,t_a,t_a) = c_Pair(c_Tarski_Olub(X4,v_cl,t_a),X5,t_a,t_a)). % 69.70/9.19 cnf(a51, assumption, % 69.70/9.19 v_r = v_r). % 69.70/9.19 cnf(a52, assumption, % 69.70/9.19 tc_prod(t_a,t_a) = tc_prod(t_a,t_a)). % 69.70/9.19 cnf(c60, plain, % 69.70/9.19 ~c_lessequals(X20,v_A,tc_set(t_a)) | ~c_in(X19,v_A,t_a), % 69.70/9.19 inference(predicate_reduction, [assumptions([a50, a51, a52])], [c58, c59])). % 69.70/9.19 % 69.70/9.19 cnf(c61, plain, % 69.70/9.19 c_lessequals(v_S,v_A,tc_set(t_a))). % 69.70/9.19 cnf(a53, assumption, % 69.70/9.19 X20 = v_S). % 69.70/9.19 cnf(a54, assumption, % 69.70/9.19 v_A = v_A). % 69.70/9.19 cnf(a55, assumption, % 69.70/9.19 tc_set(t_a) = tc_set(t_a)). % 69.70/9.19 cnf(c62, plain, % 69.70/9.19 ~c_in(X19,v_A,t_a), % 69.70/9.19 inference(predicate_reduction, [assumptions([a53, a54, a55])], [c60, c61])). % 69.70/9.19 % 69.70/9.19 cnf(c63, plain, % 69.70/9.19 c_in(X0,X1,X2)). % 69.70/9.19 cnf(a56, assumption, % 69.70/9.19 X19 = X0). % 69.70/9.19 cnf(a57, assumption, % 69.70/9.19 v_A = X1). % 69.70/9.19 cnf(a58, assumption, % 69.70/9.19 t_a = X2). % 69.70/9.19 cnf(c64, plain, % 69.70/9.19 $false, % 69.70/9.19 inference(predicate_reduction, [assumptions([a56, a57, a58])], [c62, c63])). % 69.70/9.19 % 69.70/9.19 cnf(c65, plain, % 69.70/9.19 ~c_in(c_Pair(X12,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))). % 69.70/9.19 cnf(a59, assumption, % 69.70/9.19 c_Pair(X18,v_xa,t_a,t_a) = c_Pair(X12,v_xa,t_a,t_a)). % 69.70/9.19 cnf(a60, assumption, % 69.70/9.19 c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)). % 69.70/9.19 cnf(a61, assumption, % 69.70/9.19 tc_prod(t_a,t_a) = tc_prod(t_a,t_a)). % 69.70/9.19 cnf(c66, plain, % 69.70/9.19 $false, % 69.70/9.19 inference(predicate_reduction, [assumptions([a59, a60, a61])], [c57, c65])). % 69.70/9.19 % 69.70/9.19 cnf(c67, plain, % 69.70/9.19 c_in(X18,v_S,t_a)). % 69.70/9.19 cnf(a62, assumption, % 69.70/9.19 X12 = X18). % 69.70/9.19 cnf(a63, assumption, % 69.70/9.19 v_S = v_S). % 69.70/9.19 cnf(a64, assumption, % 69.70/9.19 t_a = t_a). % 69.70/9.19 cnf(c68, plain, % 69.70/9.19 $false, % 69.70/9.19 inference(predicate_reduction, [assumptions([a62, a63, a64])], [c46, c67])). % 69.70/9.19 % 69.70/9.19 cnf(c69, axiom, % 69.70/9.19 c_in(v_xa,v_S,t_a) | c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)). % 69.70/9.19 cnf(a65, assumption, % 69.70/9.19 X0 = v_xa). % 69.70/9.19 cnf(a66, assumption, % 69.70/9.19 X3 = v_S). % 69.70/9.19 cnf(a67, assumption, % 69.70/9.19 X2 = t_a). % 69.70/9.19 cnf(c70, plain, % 69.70/9.19 $false, % 69.70/9.19 inference(strict_predicate_extension, [assumptions([a65, a66, a67])], [c6, c69])). % 69.70/9.19 cnf(c71, plain, % 69.70/9.19 c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a), % 69.70/9.19 inference(strict_predicate_extension, [assumptions([a65, a66, a67])], [c6, c69])). % 69.70/9.19 % 69.70/9.19 cnf(c72, axiom, % 69.70/9.19 v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)). % 69.70/9.19 cnf(a68, assumption, % 69.70/9.19 c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)). % 69.70/9.19 cnf(c73, plain, % 69.70/9.19 $false, % 69.70/9.19 inference(strict_function_extension, [assumptions([a68])], [c71, c72])). % 69.70/9.19 cnf(c74, plain, % 69.70/9.19 $false, % 69.70/9.19 inference(strict_function_extension, [assumptions([a68])], [c71, c72])). % 69.70/9.19 cnf(c75, plain, % 69.70/9.19 X21 != v_A | c_in(v_xa,X21,t_a), % 69.70/9.19 inference(strict_function_extension, [assumptions([a68])], [c71, c72])). % 69.70/9.19 % 69.70/9.19 cnf(a69, assumption, % 69.70/9.19 X21 = v_A). % 69.70/9.19 cnf(c76, plain, % 69.70/9.19 c_in(v_xa,X21,t_a), % 69.70/9.19 inference(reflexivity, [assumptions([a69])], [c75])). % 69.70/9.19 % 69.70/9.19 cnf(c77, plain, % 69.70/9.19 ~c_in(X0,X1,X2)). % 69.70/9.19 cnf(a70, assumption, % 69.70/9.19 v_xa = X0). % 69.70/9.19 cnf(a71, assumption, % 69.70/9.19 X21 = X1). % 69.70/9.19 cnf(a72, assumption, % 69.70/9.19 t_a = X2). % 69.70/9.19 cnf(c78, plain, % 69.70/9.19 $false, % 69.70/9.19 inference(predicate_reduction, [assumptions([a70, a71, a72])], [c76, c77])). % 69.70/9.19 % 69.70/9.19 cnf(c79, plain, % 69.70/9.19 $false, % 69.70/9.19 inference(constraint_solving, [ % 69.70/9.19 bind(X0, v_xa), % 69.70/9.19 bind(X1, v_A), % 69.70/9.19 bind(X2, t_a), % 69.70/9.19 bind(X3, v_S), % 69.70/9.19 bind(X4, v_S), % 69.70/9.19 bind(X5, v_xa), % 69.70/9.19 bind(X6, c_Pair(c_Tarski_Olub(X4,v_cl,t_a),X5,t_a,t_a)), % 69.70/9.19 bind(X7, v_r), % 69.70/9.19 bind(X8, tc_prod(t_a,t_a)), % 69.70/9.19 bind(X9, v_r), % 69.70/9.19 bind(X10, v_xa), % 69.70/9.19 bind(X11, v_S), % 69.70/9.19 bind(X12, v_sko__4mP(X5,X4,v_r)), % 69.70/9.19 bind(X13, c_Pair(v_sko__4mP(X5,X4,v_r),X5,t_a,t_a)), % 69.70/9.19 bind(X14, v_r), % 69.70/9.19 bind(X15, tc_prod(t_a,t_a)), % 69.70/9.19 bind(X16, v_xa), % 69.70/9.19 bind(X17, v_S), % 69.70/9.19 bind(X18, v_sko__4mP(X19,X20,v_r)), % 69.70/9.19 bind(X19, v_xa), % 69.70/9.19 bind(X20, v_S), % 69.70/9.19 bind(X21, v_A) % 69.70/9.19 ], % 69.70/9.19 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27, a28, a29, a30, a31, a32, a33, a34, a35, a36, a37, a38, a39, a40, a41, a42, a43, a44, a45, a46, a47, a48, a49, a50, a51, a52, a53, a54, a55, a56, a57, a58, a59, a60, a61, a62, a63, a64, a65, a66, a67, a68, a69, a70, a71, a72])). % 69.70/9.19 % 69.70/9.19 % SZS output end IncompleteProof %------------------------------------------------------------------------------