% Mizar problem: t432_xprimes0,xprimes0,2971,7 
fof(t432_xprimes0, conjecture,  ~ (v1_int_2(432)) ).
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_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r214_rm214, axiom, k6_xcmplx_0(0, 214)=k4_xcmplx_0(214)).
fof(rqRealDiff__k6_xcmplx_0__r0_r215_rm215, axiom, k6_xcmplx_0(0, 215)=k4_xcmplx_0(215)).
fof(rqRealDiff__k6_xcmplx_0__r0_r216_rm216, axiom, k6_xcmplx_0(0, 216)=k4_xcmplx_0(216)).
fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom, k6_xcmplx_0(0, 2)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r0_r430_rm430, axiom, k6_xcmplx_0(0, 430)=k4_xcmplx_0(430)).
fof(rqRealDiff__k6_xcmplx_0__r0_r432_rm432, axiom, k6_xcmplx_0(0, 432)=k4_xcmplx_0(432)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rm2_r2, axiom, k6_xcmplx_0(0, k4_xcmplx_0(2))=2).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r215_rm214, axiom, k6_xcmplx_0(1, 215)=k4_xcmplx_0(214)).
fof(rqRealDiff__k6_xcmplx_0__r1_r216_rm215, axiom, k6_xcmplx_0(1, 216)=k4_xcmplx_0(215)).
fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1_r431_rm430, axiom, k6_xcmplx_0(1, 431)=k4_xcmplx_0(430)).
fof(rqRealDiff__k6_xcmplx_0__r1_r432_rm431, axiom, k6_xcmplx_0(1, 432)=k4_xcmplx_0(431)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(1, k4_xcmplx_0(1))=2).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__r214_r0_r214, axiom, k6_xcmplx_0(214, 0)=214).
fof(rqRealDiff__k6_xcmplx_0__r215_r0_r215, axiom, k6_xcmplx_0(215, 0)=215).
fof(rqRealDiff__k6_xcmplx_0__r215_r1_r214, axiom, k6_xcmplx_0(215, 1)=214).
fof(rqRealDiff__k6_xcmplx_0__r215_rm215_r430, axiom, k6_xcmplx_0(215, k4_xcmplx_0(215))=430).
fof(rqRealDiff__k6_xcmplx_0__r216_r0_r216, axiom, k6_xcmplx_0(216, 0)=216).
fof(rqRealDiff__k6_xcmplx_0__r216_r1_r215, axiom, k6_xcmplx_0(216, 1)=215).
fof(rqRealDiff__k6_xcmplx_0__r216_r216_r0, axiom, k6_xcmplx_0(216, 216)=0).
fof(rqRealDiff__k6_xcmplx_0__r216_r2_r214, axiom, k6_xcmplx_0(216, 2)=214).
fof(rqRealDiff__k6_xcmplx_0__r216_rm216_r432, axiom, k6_xcmplx_0(216, k4_xcmplx_0(216))=432).
fof(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom, k6_xcmplx_0(2, 0)=2).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(2, 1)=1).
fof(rqRealDiff__k6_xcmplx_0__r2_r216_rm214, axiom, k6_xcmplx_0(2, 216)=k4_xcmplx_0(214)).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(2, 2)=0).
fof(rqRealDiff__k6_xcmplx_0__r2_r432_rm430, axiom, k6_xcmplx_0(2, 432)=k4_xcmplx_0(430)).
fof(rqRealDiff__k6_xcmplx_0__r430_r0_r430, axiom, k6_xcmplx_0(430, 0)=430).
fof(rqRealDiff__k6_xcmplx_0__r430_r215_r215, axiom, k6_xcmplx_0(430, 215)=215).
fof(rqRealDiff__k6_xcmplx_0__r430_r430_r0, axiom, k6_xcmplx_0(430, 430)=0).
fof(rqRealDiff__k6_xcmplx_0__r431_r0_r431, axiom, k6_xcmplx_0(431, 0)=431).
fof(rqRealDiff__k6_xcmplx_0__r431_r1_r430, axiom, k6_xcmplx_0(431, 1)=430).
fof(rqRealDiff__k6_xcmplx_0__r431_r431_r0, axiom, k6_xcmplx_0(431, 431)=0).
fof(rqRealDiff__k6_xcmplx_0__r432_r0_r432, axiom, k6_xcmplx_0(432, 0)=432).
fof(rqRealDiff__k6_xcmplx_0__r432_r1_r431, axiom, k6_xcmplx_0(432, 1)=431).
fof(rqRealDiff__k6_xcmplx_0__r432_r216_r216, axiom, k6_xcmplx_0(432, 216)=216).
fof(rqRealDiff__k6_xcmplx_0__r432_r2_r430, axiom, k6_xcmplx_0(432, 2)=430).
fof(rqRealDiff__k6_xcmplx_0__r432_r432_r0, axiom, k6_xcmplx_0(432, 432)=0).
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_r1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(2)).
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_rm215_r214, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(215))=214).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm216_r215, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(216))=215).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm2_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=1).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm431_r430, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(431))=430).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm432_r431, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(432))=431).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rm214_r0_rm214, axiom, k6_xcmplx_0(k4_xcmplx_0(214), 0)=k4_xcmplx_0(214)).
fof(rqRealDiff__k6_xcmplx_0__rm214_r1_rm215, axiom, k6_xcmplx_0(k4_xcmplx_0(214), 1)=k4_xcmplx_0(215)).
fof(rqRealDiff__k6_xcmplx_0__rm214_r2_rm216, axiom, k6_xcmplx_0(k4_xcmplx_0(214), 2)=k4_xcmplx_0(216)).
fof(rqRealDiff__k6_xcmplx_0__rm214_rm214_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(214), k4_xcmplx_0(214))=0).
fof(rqRealDiff__k6_xcmplx_0__rm215_r0_rm215, axiom, k6_xcmplx_0(k4_xcmplx_0(215), 0)=k4_xcmplx_0(215)).
fof(rqRealDiff__k6_xcmplx_0__rm215_r1_rm216, axiom, k6_xcmplx_0(k4_xcmplx_0(215), 1)=k4_xcmplx_0(216)).
fof(rqRealDiff__k6_xcmplx_0__rm215_r215_rm430, axiom, k6_xcmplx_0(k4_xcmplx_0(215), 215)=k4_xcmplx_0(430)).
fof(rqRealDiff__k6_xcmplx_0__rm215_rm1_rm214, axiom, k6_xcmplx_0(k4_xcmplx_0(215), k4_xcmplx_0(1))=k4_xcmplx_0(214)).
fof(rqRealDiff__k6_xcmplx_0__rm215_rm214_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(215), k4_xcmplx_0(214))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm215_rm215_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(215), k4_xcmplx_0(215))=0).
fof(rqRealDiff__k6_xcmplx_0__rm216_r0_rm216, axiom, k6_xcmplx_0(k4_xcmplx_0(216), 0)=k4_xcmplx_0(216)).
fof(rqRealDiff__k6_xcmplx_0__rm216_r216_rm432, axiom, k6_xcmplx_0(k4_xcmplx_0(216), 216)=k4_xcmplx_0(432)).
fof(rqRealDiff__k6_xcmplx_0__rm216_rm1_rm215, axiom, k6_xcmplx_0(k4_xcmplx_0(216), k4_xcmplx_0(1))=k4_xcmplx_0(215)).
fof(rqRealDiff__k6_xcmplx_0__rm216_rm214_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(216), k4_xcmplx_0(214))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm216_rm215_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(216), k4_xcmplx_0(215))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm216_rm216_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(216), k4_xcmplx_0(216))=0).
fof(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm216_r214, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(216))=214).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm2_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=0).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm432_r430, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(432))=430).
fof(rqRealDiff__k6_xcmplx_0__rm430_r0_rm430, axiom, k6_xcmplx_0(k4_xcmplx_0(430), 0)=k4_xcmplx_0(430)).
fof(rqRealDiff__k6_xcmplx_0__rm430_r1_rm431, axiom, k6_xcmplx_0(k4_xcmplx_0(430), 1)=k4_xcmplx_0(431)).
fof(rqRealDiff__k6_xcmplx_0__rm430_r2_rm432, axiom, k6_xcmplx_0(k4_xcmplx_0(430), 2)=k4_xcmplx_0(432)).
fof(rqRealDiff__k6_xcmplx_0__rm430_rm430_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(430), k4_xcmplx_0(430))=0).
fof(rqRealDiff__k6_xcmplx_0__rm431_r0_rm431, axiom, k6_xcmplx_0(k4_xcmplx_0(431), 0)=k4_xcmplx_0(431)).
fof(rqRealDiff__k6_xcmplx_0__rm431_r1_rm432, axiom, k6_xcmplx_0(k4_xcmplx_0(431), 1)=k4_xcmplx_0(432)).
fof(rqRealDiff__k6_xcmplx_0__rm431_rm1_rm430, axiom, k6_xcmplx_0(k4_xcmplx_0(431), k4_xcmplx_0(1))=k4_xcmplx_0(430)).
fof(rqRealDiff__k6_xcmplx_0__rm431_rm430_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(431), k4_xcmplx_0(430))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm431_rm431_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(431), k4_xcmplx_0(431))=0).
fof(rqRealDiff__k6_xcmplx_0__rm432_r0_rm432, axiom, k6_xcmplx_0(k4_xcmplx_0(432), 0)=k4_xcmplx_0(432)).
fof(rqRealDiff__k6_xcmplx_0__rm432_rm430_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(432), k4_xcmplx_0(430))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm432_rm431_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(432), k4_xcmplx_0(431))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm432_rm432_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(432), k4_xcmplx_0(432))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 0)=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=1).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(1))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2, axiom, k7_xcmplx_0(1, 2)=k7_xcmplx_0(1, 2)).
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_rm216_rnm1d216, axiom, k7_xcmplx_0(1, k4_xcmplx_0(216))=k7_xcmplx_0(k4_xcmplx_0(1), 216)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2, axiom, k7_xcmplx_0(1, k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm431_rnm1d431, axiom, k7_xcmplx_0(1, k4_xcmplx_0(431))=k7_xcmplx_0(k4_xcmplx_0(1), 431)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 2))=2).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(2)).
fof(rqRealDiv__k7_xcmplx_0__r2_r1_r2, axiom, k7_xcmplx_0(2, 1)=2).
fof(rqRealDiv__k7_xcmplx_0__r2_r2_r1, axiom, k7_xcmplx_0(2, 2)=1).
fof(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 2)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiv__k7_xcmplx_0__rm2_r2_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(2), 2)=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_r2_r0, axiom, k3_xcmplx_0(0, 2)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r430_r0, axiom, k3_xcmplx_0(0, 430)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r432_r0, axiom, k3_xcmplx_0(0, 432)=0).
fof(rqRealMult__k3_xcmplx_0__r0_rm2_r0, axiom, k3_xcmplx_0(0, k4_xcmplx_0(2))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d2_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 2))=0).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r214_r214, axiom, k3_xcmplx_0(1, 214)=214).
fof(rqRealMult__k3_xcmplx_0__r1_r215_r215, axiom, k3_xcmplx_0(1, 215)=215).
fof(rqRealMult__k3_xcmplx_0__r1_r216_r216, axiom, k3_xcmplx_0(1, 216)=216).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_r430_r430, axiom, k3_xcmplx_0(1, 430)=430).
fof(rqRealMult__k3_xcmplx_0__r1_r431_r431, axiom, k3_xcmplx_0(1, 431)=431).
fof(rqRealMult__k3_xcmplx_0__r1_r432_r432, axiom, k3_xcmplx_0(1, 432)=432).
fof(rqRealMult__k3_xcmplx_0__r1_rm2_rm2, axiom, k3_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d2_rn1d2, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2, axiom, k3_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__r215_r2_r430, axiom, k3_xcmplx_0(215, 2)=430).
fof(rqRealMult__k3_xcmplx_0__r216_r1_r216, axiom, k3_xcmplx_0(216, 1)=216).
fof(rqRealMult__k3_xcmplx_0__r216_r2_r432, axiom, k3_xcmplx_0(216, 2)=432).
fof(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom, k3_xcmplx_0(2, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(rqRealMult__k3_xcmplx_0__r2_r215_r430, axiom, k3_xcmplx_0(2, 215)=430).
fof(rqRealMult__k3_xcmplx_0__r2_r216_r432, axiom, k3_xcmplx_0(2, 216)=432).
fof(rqRealMult__k3_xcmplx_0__r2_rm215_rm430, axiom, k3_xcmplx_0(2, k4_xcmplx_0(215))=k4_xcmplx_0(430)).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d2_r1, axiom, k3_xcmplx_0(2, k7_xcmplx_0(1, 2))=1).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1, axiom, k3_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r430_r0_r0, axiom, k3_xcmplx_0(430, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r430_r1_r430, axiom, k3_xcmplx_0(430, 1)=430).
fof(rqRealMult__k3_xcmplx_0__r431_r1_r431, axiom, k3_xcmplx_0(431, 1)=431).
fof(rqRealMult__k3_xcmplx_0__r432_r0_r0, axiom, k3_xcmplx_0(432, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r432_r1_r432, axiom, k3_xcmplx_0(432, 1)=432).
fof(rqRealMult__k3_xcmplx_0__rm214_r1_rm214, axiom, k3_xcmplx_0(k4_xcmplx_0(214), 1)=k4_xcmplx_0(214)).
fof(rqRealMult__k3_xcmplx_0__rm216_r1_rm216, axiom, k3_xcmplx_0(k4_xcmplx_0(216), 1)=k4_xcmplx_0(216)).
fof(rqRealMult__k3_xcmplx_0__rm2_r0_r0, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rm2_r1_rm2, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rm2_rm215_r430, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(215))=430).
fof(rqRealMult__k3_xcmplx_0__rm2_rm216_r432, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(216))=432).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=1).
fof(rqRealMult__k3_xcmplx_0__rm431_r1_rm431, axiom, k3_xcmplx_0(k4_xcmplx_0(431), 1)=k4_xcmplx_0(431)).
fof(rqRealMult__k3_xcmplx_0__rm432_r1_rm432, axiom, k3_xcmplx_0(k4_xcmplx_0(432), 1)=k4_xcmplx_0(432)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 1)=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 2)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d216_rm216_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 216), k4_xcmplx_0(216))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 2)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r430_rm215, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 430)=k4_xcmplx_0(215)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r432_rm216, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 432)=k4_xcmplx_0(216)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(2))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d431_rm431_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 431), k4_xcmplx_0(431))=1).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r214_rm214, axiom, k4_xcmplx_0(214)=k4_xcmplx_0(214)).
fof(rqRealNeg__k4_xcmplx_0__r215_rm215, axiom, k4_xcmplx_0(215)=k4_xcmplx_0(215)).
fof(rqRealNeg__k4_xcmplx_0__r216_rm216, axiom, k4_xcmplx_0(216)=k4_xcmplx_0(216)).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__r430_rm430, axiom, k4_xcmplx_0(430)=k4_xcmplx_0(430)).
fof(rqRealNeg__k4_xcmplx_0__r431_rm431, axiom, k4_xcmplx_0(431)=k4_xcmplx_0(431)).
fof(rqRealNeg__k4_xcmplx_0__r432_rm432, axiom, k4_xcmplx_0(432)=k4_xcmplx_0(432)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm214_r214, axiom, k4_xcmplx_0(k4_xcmplx_0(214))=214).
fof(rqRealNeg__k4_xcmplx_0__rm215_r215, axiom, k4_xcmplx_0(k4_xcmplx_0(215))=215).
fof(rqRealNeg__k4_xcmplx_0__rm216_r216, axiom, k4_xcmplx_0(k4_xcmplx_0(216))=216).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
fof(rqRealNeg__k4_xcmplx_0__rm430_r430, axiom, k4_xcmplx_0(k4_xcmplx_0(430))=430).
fof(rqRealNeg__k4_xcmplx_0__rm431_r431, axiom, k4_xcmplx_0(k4_xcmplx_0(431))=431).
fof(rqRealNeg__k4_xcmplx_0__rm432_r432, axiom, k4_xcmplx_0(k4_xcmplx_0(432))=432).
fof(rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc214_numerals, axiom,  (v2_xxreal_0(214) & m1_subset_1(214, k4_ordinal1)) ).
fof(spc215_numerals, axiom,  (v2_xxreal_0(215) & m1_subset_1(215, k4_ordinal1)) ).
fof(spc216_numerals, axiom,  (v2_xxreal_0(216) & m1_subset_1(216, k4_ordinal1)) ).
fof(spc2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k4_xcmplx_0(1))=k4_xcmplx_0(A)) ) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc430_numerals, axiom,  (v2_xxreal_0(430) & m1_subset_1(430, k4_ordinal1)) ).
fof(spc431_numerals, axiom,  (v2_xxreal_0(431) & m1_subset_1(431, k4_ordinal1)) ).
fof(spc432_numerals, axiom,  (v2_xxreal_0(432) & m1_subset_1(432, k4_ordinal1)) ).
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(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(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) ) ).
