% Mizar problem: t1253_xprimes0,xprimes0,8813,7 
fof(t1253_xprimes0, conjecture,  ~ (v1_int_2(1253)) ).
fof(cc10_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_int_1(B)) ) ) ) ).
fof(cc11_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(cc1_membered, axiom,  (! [A] :  (v6_membered(A) => v5_membered(A)) ) ).
fof(cc2_membered, axiom,  (! [A] :  (v5_membered(A) => v4_membered(A)) ) ).
fof(cc3_membered, axiom,  (! [A] :  (v4_membered(A) => v3_membered(A)) ) ).
fof(cc4_membered, axiom,  (! [A] :  (v3_membered(A) => v2_membered(A)) ) ).
fof(cc5_membered, axiom,  (! [A] :  (v3_membered(A) => v1_membered(A)) ) ).
fof(cc6_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xcmplx_0(B)) ) ) ) ).
fof(cc7_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xxreal_0(B)) ) ) ) ).
fof(cc8_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xreal_0(B)) ) ) ) ).
fof(cc9_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_rat_1(B)) ) ) ) ).
fof(commutativity_k3_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k3_xcmplx_0(A, B)=k3_xcmplx_0(B, A)) ) ).
fof(d3_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_nat_d(A, B) <=>  (? [C] :  (v7_ordinal1(C) & B=k3_xcmplx_0(A, C)) ) ) ) ) ) ) ).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k4_xcmplx_0(A))) ) ).
fof(dt_k6_xcmplx_0, axiom, $true).
fof(dt_k7_xcmplx_0, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc59_membered, axiom, v7_membered(k4_ordinal1)).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1)).
fof(involutiveness_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A))=A) ) ).
fof(redefinition_r1_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (r1_nat_d(A, B) <=> r1_int_1(A, B)) ) ) ).
fof(reflexivity_r1_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => r1_int_1(A, A)) ) ).
fof(reflexivity_r1_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => r1_nat_d(A, A)) ) ).
fof(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom, k6_xcmplx_0(0, 0)=0).
fof(rqRealDiff__k6_xcmplx_0__r0_r1074_rm1074, axiom, k6_xcmplx_0(0, 1074)=k4_xcmplx_0(1074)).
fof(rqRealDiff__k6_xcmplx_0__r0_r172_rm172, axiom, k6_xcmplx_0(0, 172)=k4_xcmplx_0(172)).
fof(rqRealDiff__k6_xcmplx_0__r0_r178_rm178, axiom, k6_xcmplx_0(0, 178)=k4_xcmplx_0(178)).
fof(rqRealDiff__k6_xcmplx_0__r0_r179_rm179, axiom, k6_xcmplx_0(0, 179)=k4_xcmplx_0(179)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r6_rm6, axiom, k6_xcmplx_0(0, 6)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__r0_r7_rm7, axiom, k6_xcmplx_0(0, 7)=k4_xcmplx_0(7)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rm6_r6, axiom, k6_xcmplx_0(0, k4_xcmplx_0(6))=6).
fof(rqRealDiff__k6_xcmplx_0__r0_rm7_r7, axiom, k6_xcmplx_0(0, k4_xcmplx_0(7))=7).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d6_rnm1d6, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 6))=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d7_rnm1d7, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 7))=k7_xcmplx_0(k4_xcmplx_0(1), 7)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d6_rn1d6, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 6))=k7_xcmplx_0(1, 6)).
fof(rqRealDiff__k6_xcmplx_0__r1074_r0_r1074, axiom, k6_xcmplx_0(1074, 0)=1074).
fof(rqRealDiff__k6_xcmplx_0__r1253_r179_r1074, axiom, k6_xcmplx_0(1253, 179)=1074).
fof(rqRealDiff__k6_xcmplx_0__r1253_r1_r1252, axiom, k6_xcmplx_0(1253, 1)=1252).
fof(rqRealDiff__k6_xcmplx_0__r1253_r7_r1246, axiom, k6_xcmplx_0(1253, 7)=1246).
fof(rqRealDiff__k6_xcmplx_0__r172_r0_r172, axiom, k6_xcmplx_0(172, 0)=172).
fof(rqRealDiff__k6_xcmplx_0__r172_r172_r0, axiom, k6_xcmplx_0(172, 172)=0).
fof(rqRealDiff__k6_xcmplx_0__r178_r0_r178, axiom, k6_xcmplx_0(178, 0)=178).
fof(rqRealDiff__k6_xcmplx_0__r178_r178_r0, axiom, k6_xcmplx_0(178, 178)=0).
fof(rqRealDiff__k6_xcmplx_0__r179_r0_r179, axiom, k6_xcmplx_0(179, 0)=179).
fof(rqRealDiff__k6_xcmplx_0__r179_r178_r1, axiom, k6_xcmplx_0(179, 178)=1).
fof(rqRealDiff__k6_xcmplx_0__r179_r179_r0, axiom, k6_xcmplx_0(179, 179)=0).
fof(rqRealDiff__k6_xcmplx_0__r179_r1_r178, axiom, k6_xcmplx_0(179, 1)=178).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1253_rm1252, axiom, k6_xcmplx_0(1, 1253)=k4_xcmplx_0(1252)).
fof(rqRealDiff__k6_xcmplx_0__r1_r179_rm178, axiom, k6_xcmplx_0(1, 179)=k4_xcmplx_0(178)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r7_rm6, axiom, k6_xcmplx_0(1, 7)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm6_r7, axiom, k6_xcmplx_0(1, k4_xcmplx_0(6))=7).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d7_rn6d7, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 7))=k7_xcmplx_0(6, 7)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn6d7_rn1d7, axiom, k6_xcmplx_0(1, k7_xcmplx_0(6, 7))=k7_xcmplx_0(1, 7)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn7d6_rnm1d6, axiom, k6_xcmplx_0(1, k7_xcmplx_0(7, 6))=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d6_rn7d6, axiom, k6_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 6))=k7_xcmplx_0(7, 6)).
fof(rqRealDiff__k6_xcmplx_0__r6_r0_r6, axiom, k6_xcmplx_0(6, 0)=6).
fof(rqRealDiff__k6_xcmplx_0__r6_r6_r0, axiom, k6_xcmplx_0(6, 6)=0).
fof(rqRealDiff__k6_xcmplx_0__r6_r7_rm1, axiom, k6_xcmplx_0(6, 7)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r6_rm1_r7, axiom, k6_xcmplx_0(6, k4_xcmplx_0(1))=7).
fof(rqRealDiff__k6_xcmplx_0__r7_r0_r7, axiom, k6_xcmplx_0(7, 0)=7).
fof(rqRealDiff__k6_xcmplx_0__r7_r1253_rm1246, axiom, k6_xcmplx_0(7, 1253)=k4_xcmplx_0(1246)).
fof(rqRealDiff__k6_xcmplx_0__r7_r179_rm172, axiom, k6_xcmplx_0(7, 179)=k4_xcmplx_0(172)).
fof(rqRealDiff__k6_xcmplx_0__r7_r1_r6, axiom, k6_xcmplx_0(7, 1)=6).
fof(rqRealDiff__k6_xcmplx_0__r7_r6_r1, axiom, k6_xcmplx_0(7, 6)=1).
fof(rqRealDiff__k6_xcmplx_0__r7_r7_r0, axiom, k6_xcmplx_0(7, 7)=0).
fof(rqRealDiff__k6_xcmplx_0__rm1074_rm1074_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1074), k4_xcmplx_0(1074))=0).
fof(rqRealDiff__k6_xcmplx_0__rm172_r0_rm172, axiom, k6_xcmplx_0(k4_xcmplx_0(172), 0)=k4_xcmplx_0(172)).
fof(rqRealDiff__k6_xcmplx_0__rm172_rm172_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(172), k4_xcmplx_0(172))=0).
fof(rqRealDiff__k6_xcmplx_0__rm178_r1_rm179, axiom, k6_xcmplx_0(k4_xcmplx_0(178), 1)=k4_xcmplx_0(179)).
fof(rqRealDiff__k6_xcmplx_0__rm178_rm178_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(178), k4_xcmplx_0(178))=0).
fof(rqRealDiff__k6_xcmplx_0__rm178_rm179_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(178), k4_xcmplx_0(179))=1).
fof(rqRealDiff__k6_xcmplx_0__rm179_r0_rm179, axiom, k6_xcmplx_0(k4_xcmplx_0(179), 0)=k4_xcmplx_0(179)).
fof(rqRealDiff__k6_xcmplx_0__rm179_rm178_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(179), k4_xcmplx_0(178))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm179_rm179_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(179), k4_xcmplx_0(179))=0).
fof(rqRealDiff__k6_xcmplx_0__rm179_rm1_rm178, axiom, k6_xcmplx_0(k4_xcmplx_0(179), k4_xcmplx_0(1))=k4_xcmplx_0(178)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r6_rm7, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 6)=k4_xcmplx_0(7)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm179_r178, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(179))=178).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm7_r6, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(7))=6).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d6_rnm7d6, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 6))=k7_xcmplx_0(k4_xcmplx_0(7), 6)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d7_rnm6d7, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 7))=k7_xcmplx_0(k4_xcmplx_0(6), 7)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm6d7_rnm1d7, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(6), 7))=k7_xcmplx_0(k4_xcmplx_0(1), 7)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm7d6_rn1d6, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(7), 6))=k7_xcmplx_0(1, 6)).
fof(rqRealDiff__k6_xcmplx_0__rm6_r0_rm6, axiom, k6_xcmplx_0(k4_xcmplx_0(6), 0)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__rm6_r1_rm7, axiom, k6_xcmplx_0(k4_xcmplx_0(6), 1)=k4_xcmplx_0(7)).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm6_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(6))=0).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm7_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(7))=1).
fof(rqRealDiff__k6_xcmplx_0__rm7_r0_rm7, axiom, k6_xcmplx_0(k4_xcmplx_0(7), 0)=k4_xcmplx_0(7)).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm1_rm6, axiom, k6_xcmplx_0(k4_xcmplx_0(7), k4_xcmplx_0(1))=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm6_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(7), k4_xcmplx_0(6))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm7_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(7), k4_xcmplx_0(7))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_r0_rn1d6, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 6), 0)=k7_xcmplx_0(1, 6)).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rm1_rn7d6, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 6), k4_xcmplx_0(1))=k7_xcmplx_0(7, 6)).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rn1d6_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 6), k7_xcmplx_0(1, 6))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rn7d6_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 6), k7_xcmplx_0(7, 6))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_r0_rn1d7, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 7), 0)=k7_xcmplx_0(1, 7)).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_r1_rnm6d7, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 7), 1)=k7_xcmplx_0(k4_xcmplx_0(6), 7)).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_rn1d7_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 7), k7_xcmplx_0(1, 7))=0).
fof(rqRealDiff__k6_xcmplx_0__rn6d7_r0_rn6d7, axiom, k6_xcmplx_0(k7_xcmplx_0(6, 7), 0)=k7_xcmplx_0(6, 7)).
fof(rqRealDiff__k6_xcmplx_0__rn6d7_r1_rnm1d7, axiom, k6_xcmplx_0(k7_xcmplx_0(6, 7), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 7)).
fof(rqRealDiff__k6_xcmplx_0__rn6d7_rn6d7_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(6, 7), k7_xcmplx_0(6, 7))=0).
fof(rqRealDiff__k6_xcmplx_0__rn7d6_r1_rn1d6, axiom, k6_xcmplx_0(k7_xcmplx_0(7, 6), 1)=k7_xcmplx_0(1, 6)).
fof(rqRealDiff__k6_xcmplx_0__rn7d6_rn7d6_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(7, 6), k7_xcmplx_0(7, 6))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_r1_rnm7d6, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), 1)=k7_xcmplx_0(k4_xcmplx_0(7), 6)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rnm1d6_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), k7_xcmplx_0(k4_xcmplx_0(1), 6))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rnm7d6_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), k7_xcmplx_0(k4_xcmplx_0(7), 6))=1).
fof(rqRealDiff__k6_xcmplx_0__rnm1d7_rm1_rn6d7, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7), k4_xcmplx_0(1))=k7_xcmplx_0(6, 7)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d7_rnm1d7_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7), k7_xcmplx_0(k4_xcmplx_0(1), 7))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm6d7_rnm6d7_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6), 7), k7_xcmplx_0(k4_xcmplx_0(6), 7))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm7d6_rm1_rnm1d6, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7), 6), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealDiff__k6_xcmplx_0__rnm7d6_rnm1d6_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7), 6), k7_xcmplx_0(k4_xcmplx_0(1), 6))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm7d6_rnm7d6_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7), 6), k7_xcmplx_0(k4_xcmplx_0(7), 6))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r6_rn1d6, axiom, k7_xcmplx_0(1, 6)=k7_xcmplx_0(1, 6)).
fof(rqRealDiv__k7_xcmplx_0__r1_r7_rn1d7, axiom, k7_xcmplx_0(1, 7)=k7_xcmplx_0(1, 7)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm179_rnm1d179, axiom, k7_xcmplx_0(1, k4_xcmplx_0(179))=k7_xcmplx_0(k4_xcmplx_0(1), 179)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm1_rm1, axiom, k7_xcmplx_0(1, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm6_rnm1d6, axiom, k7_xcmplx_0(1, k4_xcmplx_0(6))=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm7_rnm1d7, axiom, k7_xcmplx_0(1, k4_xcmplx_0(7))=k7_xcmplx_0(k4_xcmplx_0(1), 7)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d6_r6, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 6))=6).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d7_r7, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 7))=7).
fof(rqRealDiv__k7_xcmplx_0__r1_rn7d6_rn6d7, axiom, k7_xcmplx_0(1, k7_xcmplx_0(7, 6))=k7_xcmplx_0(6, 7)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d6_rm6, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 6))=k4_xcmplx_0(6)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d7_rm7, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 7))=k4_xcmplx_0(7)).
fof(rqRealDiv__k7_xcmplx_0__r6_r7_rn6d7, axiom, k7_xcmplx_0(6, 7)=k7_xcmplx_0(6, 7)).
fof(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, k3_xcmplx_0(0, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r6_r0, axiom, k3_xcmplx_0(0, 6)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r7_r0, axiom, k3_xcmplx_0(0, 7)=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d6_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 6))=0).
fof(rqRealMult__k3_xcmplx_0__r172_r1_r172, axiom, k3_xcmplx_0(172, 1)=172).
fof(rqRealMult__k3_xcmplx_0__r178_r1_r178, axiom, k3_xcmplx_0(178, 1)=178).
fof(rqRealMult__k3_xcmplx_0__r178_r7_r1246, axiom, k3_xcmplx_0(178, 7)=1246).
fof(rqRealMult__k3_xcmplx_0__r179_r1_r179, axiom, k3_xcmplx_0(179, 1)=179).
fof(rqRealMult__k3_xcmplx_0__r179_r7_r1253, axiom, k3_xcmplx_0(179, 7)=1253).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r1074_r1074, axiom, k3_xcmplx_0(1, 1074)=1074).
fof(rqRealMult__k3_xcmplx_0__r1_r172_r172, axiom, k3_xcmplx_0(1, 172)=172).
fof(rqRealMult__k3_xcmplx_0__r1_r178_r178, axiom, k3_xcmplx_0(1, 178)=178).
fof(rqRealMult__k3_xcmplx_0__r1_r179_r179, axiom, k3_xcmplx_0(1, 179)=179).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r6_r6, axiom, k3_xcmplx_0(1, 6)=6).
fof(rqRealMult__k3_xcmplx_0__r1_r7_r7, axiom, k3_xcmplx_0(1, 7)=7).
fof(rqRealMult__k3_xcmplx_0__r1_rm6_rm6, axiom, k3_xcmplx_0(1, k4_xcmplx_0(6))=k4_xcmplx_0(6)).
fof(rqRealMult__k3_xcmplx_0__r1_rm7_rm7, axiom, k3_xcmplx_0(1, k4_xcmplx_0(7))=k4_xcmplx_0(7)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d6_rn1d6, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 6))=k7_xcmplx_0(1, 6)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d7_rn1d7, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 7))=k7_xcmplx_0(1, 7)).
fof(rqRealMult__k3_xcmplx_0__r1_rn7d6_rn7d6, axiom, k3_xcmplx_0(1, k7_xcmplx_0(7, 6))=k7_xcmplx_0(7, 6)).
fof(rqRealMult__k3_xcmplx_0__r6_r0_r0, axiom, k3_xcmplx_0(6, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r6_r1_r6, axiom, k3_xcmplx_0(6, 1)=6).
fof(rqRealMult__k3_xcmplx_0__r6_rm179_rm1074, axiom, k3_xcmplx_0(6, k4_xcmplx_0(179))=k4_xcmplx_0(1074)).
fof(rqRealMult__k3_xcmplx_0__r6_rn1d6_r1, axiom, k3_xcmplx_0(6, k7_xcmplx_0(1, 6))=1).
fof(rqRealMult__k3_xcmplx_0__r6_rn1d7_rn6d7, axiom, k3_xcmplx_0(6, k7_xcmplx_0(1, 7))=k7_xcmplx_0(6, 7)).
fof(rqRealMult__k3_xcmplx_0__r6_rn7d6_r7, axiom, k3_xcmplx_0(6, k7_xcmplx_0(7, 6))=7).
fof(rqRealMult__k3_xcmplx_0__r6_rnm1d6_rm1, axiom, k3_xcmplx_0(6, k7_xcmplx_0(k4_xcmplx_0(1), 6))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r6_rnm1d7_rnm6d7, axiom, k3_xcmplx_0(6, k7_xcmplx_0(k4_xcmplx_0(1), 7))=k7_xcmplx_0(k4_xcmplx_0(6), 7)).
fof(rqRealMult__k3_xcmplx_0__r7_r0_r0, axiom, k3_xcmplx_0(7, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r7_r178_r1246, axiom, k3_xcmplx_0(7, 178)=1246).
fof(rqRealMult__k3_xcmplx_0__r7_r179_r1253, axiom, k3_xcmplx_0(7, 179)=1253).
fof(rqRealMult__k3_xcmplx_0__r7_r1_r7, axiom, k3_xcmplx_0(7, 1)=7).
fof(rqRealMult__k3_xcmplx_0__r7_rn1d6_rn7d6, axiom, k3_xcmplx_0(7, k7_xcmplx_0(1, 6))=k7_xcmplx_0(7, 6)).
fof(rqRealMult__k3_xcmplx_0__r7_rn1d7_r1, axiom, k3_xcmplx_0(7, k7_xcmplx_0(1, 7))=1).
fof(rqRealMult__k3_xcmplx_0__r7_rn6d7_r6, axiom, k3_xcmplx_0(7, k7_xcmplx_0(6, 7))=6).
fof(rqRealMult__k3_xcmplx_0__r7_rnm1d6_rnm7d6, axiom, k3_xcmplx_0(7, k7_xcmplx_0(k4_xcmplx_0(1), 6))=k7_xcmplx_0(k4_xcmplx_0(7), 6)).
fof(rqRealMult__k3_xcmplx_0__r7_rnm1d7_rm1, axiom, k3_xcmplx_0(7, k7_xcmplx_0(k4_xcmplx_0(1), 7))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r7_rnm6d7_rm6, axiom, k3_xcmplx_0(7, k7_xcmplx_0(k4_xcmplx_0(6), 7))=k4_xcmplx_0(6)).
fof(rqRealMult__k3_xcmplx_0__rm178_r1_rm178, axiom, k3_xcmplx_0(k4_xcmplx_0(178), 1)=k4_xcmplx_0(178)).
fof(rqRealMult__k3_xcmplx_0__rm179_r1_rm179, axiom, k3_xcmplx_0(k4_xcmplx_0(179), 1)=k4_xcmplx_0(179)).
fof(rqRealMult__k3_xcmplx_0__rm6_r1_rm6, axiom, k3_xcmplx_0(k4_xcmplx_0(6), 1)=k4_xcmplx_0(6)).
fof(rqRealMult__k3_xcmplx_0__rm6_rn1d6_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(6), k7_xcmplx_0(1, 6))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm6_rn7d6_rm7, axiom, k3_xcmplx_0(k4_xcmplx_0(6), k7_xcmplx_0(7, 6))=k4_xcmplx_0(7)).
fof(rqRealMult__k3_xcmplx_0__rm6_rnm1d6_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(6), k7_xcmplx_0(k4_xcmplx_0(1), 6))=1).
fof(rqRealMult__k3_xcmplx_0__rm6_rnm1d7_rn6d7, axiom, k3_xcmplx_0(k4_xcmplx_0(6), k7_xcmplx_0(k4_xcmplx_0(1), 7))=k7_xcmplx_0(6, 7)).
fof(rqRealMult__k3_xcmplx_0__rm7_r1_rm7, axiom, k3_xcmplx_0(k4_xcmplx_0(7), 1)=k4_xcmplx_0(7)).
fof(rqRealMult__k3_xcmplx_0__rm7_rm179_r1253, axiom, k3_xcmplx_0(k4_xcmplx_0(7), k4_xcmplx_0(179))=1253).
fof(rqRealMult__k3_xcmplx_0__rm7_rn1d6_rnm7d6, axiom, k3_xcmplx_0(k4_xcmplx_0(7), k7_xcmplx_0(1, 6))=k7_xcmplx_0(k4_xcmplx_0(7), 6)).
fof(rqRealMult__k3_xcmplx_0__rm7_rn1d7_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(7), k7_xcmplx_0(1, 7))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm7_rn6d7_rm6, axiom, k3_xcmplx_0(k4_xcmplx_0(7), k7_xcmplx_0(6, 7))=k4_xcmplx_0(6)).
fof(rqRealMult__k3_xcmplx_0__rm7_rnm1d6_rn7d6, axiom, k3_xcmplx_0(k4_xcmplx_0(7), k7_xcmplx_0(k4_xcmplx_0(1), 6))=k7_xcmplx_0(7, 6)).
fof(rqRealMult__k3_xcmplx_0__rm7_rnm1d7_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(7), k7_xcmplx_0(k4_xcmplx_0(1), 7))=1).
fof(rqRealMult__k3_xcmplx_0__rm7_rnm6d7_r6, axiom, k3_xcmplx_0(k4_xcmplx_0(7), k7_xcmplx_0(k4_xcmplx_0(6), 7))=6).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 6), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r1_rn1d6, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 6), 1)=k7_xcmplx_0(1, 6)).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r6_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 6), 6)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r7_rn7d6, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 6), 7)=k7_xcmplx_0(7, 6)).
fof(rqRealMult__k3_xcmplx_0__rn1d6_rm6_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 6), k4_xcmplx_0(6))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn1d7_r1_rn1d7, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 7), 1)=k7_xcmplx_0(1, 7)).
fof(rqRealMult__k3_xcmplx_0__rn1d7_r6_rn6d7, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 7), 6)=k7_xcmplx_0(6, 7)).
fof(rqRealMult__k3_xcmplx_0__rn1d7_r7_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 7), 7)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d7_rm7_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 7), k4_xcmplx_0(7))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn6d7_r1_rn6d7, axiom, k3_xcmplx_0(k7_xcmplx_0(6, 7), 1)=k7_xcmplx_0(6, 7)).
fof(rqRealMult__k3_xcmplx_0__rn6d7_rn7d6_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(6, 7), k7_xcmplx_0(7, 6))=1).
fof(rqRealMult__k3_xcmplx_0__rn7d6_r1_rn7d6, axiom, k3_xcmplx_0(k7_xcmplx_0(7, 6), 1)=k7_xcmplx_0(7, 6)).
fof(rqRealMult__k3_xcmplx_0__rn7d6_r6_r7, axiom, k3_xcmplx_0(k7_xcmplx_0(7, 6), 6)=7).
fof(rqRealMult__k3_xcmplx_0__rn7d6_rn6d7_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(7, 6), k7_xcmplx_0(6, 7))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d179_rm179_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 179), k4_xcmplx_0(179))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_r1_rnm1d6, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_r6_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), 6)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_r7_rnm7d6, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), 7)=k7_xcmplx_0(k4_xcmplx_0(7), 6)).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_rm6_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), k4_xcmplx_0(6))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_rm7_rn7d6, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), k4_xcmplx_0(7))=k7_xcmplx_0(7, 6)).
fof(rqRealMult__k3_xcmplx_0__rnm1d7_r1253_rm179, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7), 1253)=k4_xcmplx_0(179)).
fof(rqRealMult__k3_xcmplx_0__rnm1d7_r1_rnm1d7, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 7)).
fof(rqRealMult__k3_xcmplx_0__rnm1d7_r6_rnm6d7, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7), 6)=k7_xcmplx_0(k4_xcmplx_0(6), 7)).
fof(rqRealMult__k3_xcmplx_0__rnm1d7_r7_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7), 7)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d7_rm6_rn6d7, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7), k4_xcmplx_0(6))=k7_xcmplx_0(6, 7)).
fof(rqRealMult__k3_xcmplx_0__rnm1d7_rm7_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7), k4_xcmplx_0(7))=1).
fof(rqRealMult__k3_xcmplx_0__rnm6d7_r1_rnm6d7, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6), 7), 1)=k7_xcmplx_0(k4_xcmplx_0(6), 7)).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r1074_rm1074, axiom, k4_xcmplx_0(1074)=k4_xcmplx_0(1074)).
fof(rqRealNeg__k4_xcmplx_0__r172_rm172, axiom, k4_xcmplx_0(172)=k4_xcmplx_0(172)).
fof(rqRealNeg__k4_xcmplx_0__r178_rm178, axiom, k4_xcmplx_0(178)=k4_xcmplx_0(178)).
fof(rqRealNeg__k4_xcmplx_0__r179_rm179, axiom, k4_xcmplx_0(179)=k4_xcmplx_0(179)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r6_rm6, axiom, k4_xcmplx_0(6)=k4_xcmplx_0(6)).
fof(rqRealNeg__k4_xcmplx_0__r7_rm7, axiom, k4_xcmplx_0(7)=k4_xcmplx_0(7)).
fof(rqRealNeg__k4_xcmplx_0__rm1074_r1074, axiom, k4_xcmplx_0(k4_xcmplx_0(1074))=1074).
fof(rqRealNeg__k4_xcmplx_0__rm1246_r1246, axiom, k4_xcmplx_0(k4_xcmplx_0(1246))=1246).
fof(rqRealNeg__k4_xcmplx_0__rm1252_r1252, axiom, k4_xcmplx_0(k4_xcmplx_0(1252))=1252).
fof(rqRealNeg__k4_xcmplx_0__rm172_r172, axiom, k4_xcmplx_0(k4_xcmplx_0(172))=172).
fof(rqRealNeg__k4_xcmplx_0__rm178_r178, axiom, k4_xcmplx_0(k4_xcmplx_0(178))=178).
fof(rqRealNeg__k4_xcmplx_0__rm179_r179, axiom, k4_xcmplx_0(k4_xcmplx_0(179))=179).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm6_r6, axiom, k4_xcmplx_0(k4_xcmplx_0(6))=6).
fof(rqRealNeg__k4_xcmplx_0__rm7_r7, axiom, k4_xcmplx_0(k4_xcmplx_0(7))=7).
fof(rqRealNeg__k4_xcmplx_0__rn1d6_rnm1d6, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 6))=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealNeg__k4_xcmplx_0__rn1d7_rnm1d7, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 7))=k7_xcmplx_0(k4_xcmplx_0(1), 7)).
fof(rqRealNeg__k4_xcmplx_0__rn6d7_rnm6d7, axiom, k4_xcmplx_0(k7_xcmplx_0(6, 7))=k7_xcmplx_0(k4_xcmplx_0(6), 7)).
fof(rqRealNeg__k4_xcmplx_0__rn7d6_rnm7d6, axiom, k4_xcmplx_0(k7_xcmplx_0(7, 6))=k7_xcmplx_0(k4_xcmplx_0(7), 6)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d6_rn1d6, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6))=k7_xcmplx_0(1, 6)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d7_rn1d7, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7))=k7_xcmplx_0(1, 7)).
fof(rqRealNeg__k4_xcmplx_0__rnm6d7_rn6d7, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6), 7))=k7_xcmplx_0(6, 7)).
fof(rqRealNeg__k4_xcmplx_0__rnm7d6_rn7d6, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7), 6))=k7_xcmplx_0(7, 6)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc1074_numerals, axiom,  (v2_xxreal_0(1074) & m1_subset_1(1074, k4_ordinal1)) ).
fof(spc1246_numerals, axiom,  (v2_xxreal_0(1246) & m1_subset_1(1246, k4_ordinal1)) ).
fof(spc1252_numerals, axiom,  (v2_xxreal_0(1252) & m1_subset_1(1252, k4_ordinal1)) ).
fof(spc1253_numerals, axiom,  (v2_xxreal_0(1253) & m1_subset_1(1253, k4_ordinal1)) ).
fof(spc172_numerals, axiom,  (v2_xxreal_0(172) & m1_subset_1(172, k4_ordinal1)) ).
fof(spc178_numerals, axiom,  (v2_xxreal_0(178) & m1_subset_1(178, k4_ordinal1)) ).
fof(spc179_numerals, axiom,  (v2_xxreal_0(179) & m1_subset_1(179, k4_ordinal1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k4_xcmplx_0(1))=k4_xcmplx_0(A)) ) ).
fof(spc4_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(A, k7_xcmplx_0(B, C))=k7_xcmplx_0(k3_xcmplx_0(A, B), C)) ) ).
fof(spc6_numerals, axiom,  (v2_xxreal_0(6) & m1_subset_1(6, k4_ordinal1)) ).
fof(spc7_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(A, k3_xcmplx_0(B, C))) ) ).
fof(spc7_numerals, axiom,  (v2_xxreal_0(7) & m1_subset_1(7, k4_ordinal1)) ).
fof(spc9_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k6_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k6_xcmplx_0(B, A)) ) ).
fof(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=A) ) ).
fof(t6_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k7_xcmplx_0(A, 1)=A) ) ).
