% Mizar problem: t456_xprimes0,xprimes0,3139,7 
fof(t456_xprimes0, conjecture,  ~ (v1_int_2(456)) ).
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_r226_rm226, axiom, k6_xcmplx_0(0, 226)=k4_xcmplx_0(226)).
fof(rqRealDiff__k6_xcmplx_0__r0_r227_rm227, axiom, k6_xcmplx_0(0, 227)=k4_xcmplx_0(227)).
fof(rqRealDiff__k6_xcmplx_0__r0_r228_rm228, axiom, k6_xcmplx_0(0, 228)=k4_xcmplx_0(228)).
fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom, k6_xcmplx_0(0, 2)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r0_r454_rm454, axiom, k6_xcmplx_0(0, 454)=k4_xcmplx_0(454)).
fof(rqRealDiff__k6_xcmplx_0__r0_r455_rm455, axiom, k6_xcmplx_0(0, 455)=k4_xcmplx_0(455)).
fof(rqRealDiff__k6_xcmplx_0__r0_r456_rm456, axiom, k6_xcmplx_0(0, 456)=k4_xcmplx_0(456)).
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_r227_rm226, axiom, k6_xcmplx_0(1, 227)=k4_xcmplx_0(226)).
fof(rqRealDiff__k6_xcmplx_0__r1_r228_rm227, axiom, k6_xcmplx_0(1, 228)=k4_xcmplx_0(227)).
fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1_r455_rm454, axiom, k6_xcmplx_0(1, 455)=k4_xcmplx_0(454)).
fof(rqRealDiff__k6_xcmplx_0__r1_r456_rm455, axiom, k6_xcmplx_0(1, 456)=k4_xcmplx_0(455)).
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__r226_r0_r226, axiom, k6_xcmplx_0(226, 0)=226).
fof(rqRealDiff__k6_xcmplx_0__r226_r226_r0, axiom, k6_xcmplx_0(226, 226)=0).
fof(rqRealDiff__k6_xcmplx_0__r226_r454_rm228, axiom, k6_xcmplx_0(226, 454)=k4_xcmplx_0(228)).
fof(rqRealDiff__k6_xcmplx_0__r227_r0_r227, axiom, k6_xcmplx_0(227, 0)=227).
fof(rqRealDiff__k6_xcmplx_0__r227_r1_r226, axiom, k6_xcmplx_0(227, 1)=226).
fof(rqRealDiff__k6_xcmplx_0__r227_r227_r0, axiom, k6_xcmplx_0(227, 227)=0).
fof(rqRealDiff__k6_xcmplx_0__r227_rm227_r454, axiom, k6_xcmplx_0(227, k4_xcmplx_0(227))=454).
fof(rqRealDiff__k6_xcmplx_0__r228_r0_r228, axiom, k6_xcmplx_0(228, 0)=228).
fof(rqRealDiff__k6_xcmplx_0__r228_r1_r227, axiom, k6_xcmplx_0(228, 1)=227).
fof(rqRealDiff__k6_xcmplx_0__r228_r227_r1, axiom, k6_xcmplx_0(228, 227)=1).
fof(rqRealDiff__k6_xcmplx_0__r228_r228_r0, axiom, k6_xcmplx_0(228, 228)=0).
fof(rqRealDiff__k6_xcmplx_0__r228_r2_r226, axiom, k6_xcmplx_0(228, 2)=226).
fof(rqRealDiff__k6_xcmplx_0__r228_r455_rm227, axiom, k6_xcmplx_0(228, 455)=k4_xcmplx_0(227)).
fof(rqRealDiff__k6_xcmplx_0__r228_r456_rm228, axiom, k6_xcmplx_0(228, 456)=k4_xcmplx_0(228)).
fof(rqRealDiff__k6_xcmplx_0__r228_rm228_r456, axiom, k6_xcmplx_0(228, k4_xcmplx_0(228))=456).
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_r228_rm226, axiom, k6_xcmplx_0(2, 228)=k4_xcmplx_0(226)).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(2, 2)=0).
fof(rqRealDiff__k6_xcmplx_0__r2_r456_rm454, axiom, k6_xcmplx_0(2, 456)=k4_xcmplx_0(454)).
fof(rqRealDiff__k6_xcmplx_0__r454_r0_r454, axiom, k6_xcmplx_0(454, 0)=454).
fof(rqRealDiff__k6_xcmplx_0__r454_r226_r228, axiom, k6_xcmplx_0(454, 226)=228).
fof(rqRealDiff__k6_xcmplx_0__r454_r227_r227, axiom, k6_xcmplx_0(454, 227)=227).
fof(rqRealDiff__k6_xcmplx_0__r455_r0_r455, axiom, k6_xcmplx_0(455, 0)=455).
fof(rqRealDiff__k6_xcmplx_0__r455_r1_r454, axiom, k6_xcmplx_0(455, 1)=454).
fof(rqRealDiff__k6_xcmplx_0__r455_r228_r227, axiom, k6_xcmplx_0(455, 228)=227).
fof(rqRealDiff__k6_xcmplx_0__r456_r0_r456, axiom, k6_xcmplx_0(456, 0)=456).
fof(rqRealDiff__k6_xcmplx_0__r456_r1_r455, axiom, k6_xcmplx_0(456, 1)=455).
fof(rqRealDiff__k6_xcmplx_0__r456_r228_r228, axiom, k6_xcmplx_0(456, 228)=228).
fof(rqRealDiff__k6_xcmplx_0__r456_r2_r454, axiom, k6_xcmplx_0(456, 2)=454).
fof(rqRealDiff__k6_xcmplx_0__r456_r456_r0, axiom, k6_xcmplx_0(456, 456)=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_rm227_r226, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(227))=226).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm228_r227, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(228))=227).
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_rm455_r454, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(455))=454).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm456_r455, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(456))=455).
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__rm226_r0_rm226, axiom, k6_xcmplx_0(k4_xcmplx_0(226), 0)=k4_xcmplx_0(226)).
fof(rqRealDiff__k6_xcmplx_0__rm226_r1_rm227, axiom, k6_xcmplx_0(k4_xcmplx_0(226), 1)=k4_xcmplx_0(227)).
fof(rqRealDiff__k6_xcmplx_0__rm226_r2_rm228, axiom, k6_xcmplx_0(k4_xcmplx_0(226), 2)=k4_xcmplx_0(228)).
fof(rqRealDiff__k6_xcmplx_0__rm226_rm226_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(226), k4_xcmplx_0(226))=0).
fof(rqRealDiff__k6_xcmplx_0__rm227_r0_rm227, axiom, k6_xcmplx_0(k4_xcmplx_0(227), 0)=k4_xcmplx_0(227)).
fof(rqRealDiff__k6_xcmplx_0__rm227_r1_rm228, axiom, k6_xcmplx_0(k4_xcmplx_0(227), 1)=k4_xcmplx_0(228)).
fof(rqRealDiff__k6_xcmplx_0__rm227_r227_rm454, axiom, k6_xcmplx_0(k4_xcmplx_0(227), 227)=k4_xcmplx_0(454)).
fof(rqRealDiff__k6_xcmplx_0__rm227_rm1_rm226, axiom, k6_xcmplx_0(k4_xcmplx_0(227), k4_xcmplx_0(1))=k4_xcmplx_0(226)).
fof(rqRealDiff__k6_xcmplx_0__rm227_rm226_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(227), k4_xcmplx_0(226))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm227_rm227_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(227), k4_xcmplx_0(227))=0).
fof(rqRealDiff__k6_xcmplx_0__rm227_rm228_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(227), k4_xcmplx_0(228))=1).
fof(rqRealDiff__k6_xcmplx_0__rm228_r0_rm228, axiom, k6_xcmplx_0(k4_xcmplx_0(228), 0)=k4_xcmplx_0(228)).
fof(rqRealDiff__k6_xcmplx_0__rm228_r227_rm455, axiom, k6_xcmplx_0(k4_xcmplx_0(228), 227)=k4_xcmplx_0(455)).
fof(rqRealDiff__k6_xcmplx_0__rm228_r228_rm456, axiom, k6_xcmplx_0(k4_xcmplx_0(228), 228)=k4_xcmplx_0(456)).
fof(rqRealDiff__k6_xcmplx_0__rm228_rm1_rm227, axiom, k6_xcmplx_0(k4_xcmplx_0(228), k4_xcmplx_0(1))=k4_xcmplx_0(227)).
fof(rqRealDiff__k6_xcmplx_0__rm228_rm226_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(228), k4_xcmplx_0(226))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm228_rm227_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(228), k4_xcmplx_0(227))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm228_rm228_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(228), k4_xcmplx_0(228))=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_rm228_r226, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(228))=226).
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_rm456_r454, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(456))=454).
fof(rqRealDiff__k6_xcmplx_0__rm454_r0_rm454, axiom, k6_xcmplx_0(k4_xcmplx_0(454), 0)=k4_xcmplx_0(454)).
fof(rqRealDiff__k6_xcmplx_0__rm454_r1_rm455, axiom, k6_xcmplx_0(k4_xcmplx_0(454), 1)=k4_xcmplx_0(455)).
fof(rqRealDiff__k6_xcmplx_0__rm454_r2_rm456, axiom, k6_xcmplx_0(k4_xcmplx_0(454), 2)=k4_xcmplx_0(456)).
fof(rqRealDiff__k6_xcmplx_0__rm454_rm454_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(454), k4_xcmplx_0(454))=0).
fof(rqRealDiff__k6_xcmplx_0__rm455_rm1_rm454, axiom, k6_xcmplx_0(k4_xcmplx_0(455), k4_xcmplx_0(1))=k4_xcmplx_0(454)).
fof(rqRealDiff__k6_xcmplx_0__rm455_rm228_rm227, axiom, k6_xcmplx_0(k4_xcmplx_0(455), k4_xcmplx_0(228))=k4_xcmplx_0(227)).
fof(rqRealDiff__k6_xcmplx_0__rm455_rm454_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(455), k4_xcmplx_0(454))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm455_rm455_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(455), k4_xcmplx_0(455))=0).
fof(rqRealDiff__k6_xcmplx_0__rm456_r0_rm456, axiom, k6_xcmplx_0(k4_xcmplx_0(456), 0)=k4_xcmplx_0(456)).
fof(rqRealDiff__k6_xcmplx_0__rm456_rm1_rm455, axiom, k6_xcmplx_0(k4_xcmplx_0(456), k4_xcmplx_0(1))=k4_xcmplx_0(455)).
fof(rqRealDiff__k6_xcmplx_0__rm456_rm228_rm228, axiom, k6_xcmplx_0(k4_xcmplx_0(456), k4_xcmplx_0(228))=k4_xcmplx_0(228)).
fof(rqRealDiff__k6_xcmplx_0__rm456_rm454_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(456), k4_xcmplx_0(454))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm456_rm456_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(456), k4_xcmplx_0(456))=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_rm226_rnm1d226, axiom, k7_xcmplx_0(1, k4_xcmplx_0(226))=k7_xcmplx_0(k4_xcmplx_0(1), 226)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm227_rnm1d227, axiom, k7_xcmplx_0(1, k4_xcmplx_0(227))=k7_xcmplx_0(k4_xcmplx_0(1), 227)).
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_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_r454_r0, axiom, k3_xcmplx_0(0, 454)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r455_r0, axiom, k3_xcmplx_0(0, 455)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r456_r0, axiom, k3_xcmplx_0(0, 456)=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_r226_r226, axiom, k3_xcmplx_0(1, 226)=226).
fof(rqRealMult__k3_xcmplx_0__r1_r227_r227, axiom, k3_xcmplx_0(1, 227)=227).
fof(rqRealMult__k3_xcmplx_0__r1_r228_r228, axiom, k3_xcmplx_0(1, 228)=228).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_r454_r454, axiom, k3_xcmplx_0(1, 454)=454).
fof(rqRealMult__k3_xcmplx_0__r1_r455_r455, axiom, k3_xcmplx_0(1, 455)=455).
fof(rqRealMult__k3_xcmplx_0__r1_r456_r456, axiom, k3_xcmplx_0(1, 456)=456).
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__r226_r1_r226, axiom, k3_xcmplx_0(226, 1)=226).
fof(rqRealMult__k3_xcmplx_0__r227_r1_r227, axiom, k3_xcmplx_0(227, 1)=227).
fof(rqRealMult__k3_xcmplx_0__r227_r2_r454, axiom, k3_xcmplx_0(227, 2)=454).
fof(rqRealMult__k3_xcmplx_0__r228_r1_r228, axiom, k3_xcmplx_0(228, 1)=228).
fof(rqRealMult__k3_xcmplx_0__r228_r2_r456, axiom, k3_xcmplx_0(228, 2)=456).
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_r227_r454, axiom, k3_xcmplx_0(2, 227)=454).
fof(rqRealMult__k3_xcmplx_0__r2_r228_r456, axiom, k3_xcmplx_0(2, 228)=456).
fof(rqRealMult__k3_xcmplx_0__r2_rm227_rm454, axiom, k3_xcmplx_0(2, k4_xcmplx_0(227))=k4_xcmplx_0(454)).
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__r454_r0_r0, axiom, k3_xcmplx_0(454, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r455_r0_r0, axiom, k3_xcmplx_0(455, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r456_r0_r0, axiom, k3_xcmplx_0(456, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r456_r1_r456, axiom, k3_xcmplx_0(456, 1)=456).
fof(rqRealMult__k3_xcmplx_0__rm226_r1_rm226, axiom, k3_xcmplx_0(k4_xcmplx_0(226), 1)=k4_xcmplx_0(226)).
fof(rqRealMult__k3_xcmplx_0__rm227_r1_rm227, axiom, k3_xcmplx_0(k4_xcmplx_0(227), 1)=k4_xcmplx_0(227)).
fof(rqRealMult__k3_xcmplx_0__rm228_r1_rm228, axiom, k3_xcmplx_0(k4_xcmplx_0(228), 1)=k4_xcmplx_0(228)).
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_rm227_r454, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(227))=454).
fof(rqRealMult__k3_xcmplx_0__rm2_rm228_r456, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(228))=456).
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__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__rnm1d226_r226_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 226), 226)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d226_rm226_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 226), k4_xcmplx_0(226))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d227_rm227_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 227), k4_xcmplx_0(227))=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_r454_rm227, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 454)=k4_xcmplx_0(227)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r456_rm228, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 456)=k4_xcmplx_0(228)).
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(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__r226_rm226, axiom, k4_xcmplx_0(226)=k4_xcmplx_0(226)).
fof(rqRealNeg__k4_xcmplx_0__r227_rm227, axiom, k4_xcmplx_0(227)=k4_xcmplx_0(227)).
fof(rqRealNeg__k4_xcmplx_0__r228_rm228, axiom, k4_xcmplx_0(228)=k4_xcmplx_0(228)).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__r454_rm454, axiom, k4_xcmplx_0(454)=k4_xcmplx_0(454)).
fof(rqRealNeg__k4_xcmplx_0__r455_rm455, axiom, k4_xcmplx_0(455)=k4_xcmplx_0(455)).
fof(rqRealNeg__k4_xcmplx_0__r456_rm456, axiom, k4_xcmplx_0(456)=k4_xcmplx_0(456)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm226_r226, axiom, k4_xcmplx_0(k4_xcmplx_0(226))=226).
fof(rqRealNeg__k4_xcmplx_0__rm227_r227, axiom, k4_xcmplx_0(k4_xcmplx_0(227))=227).
fof(rqRealNeg__k4_xcmplx_0__rm228_r228, axiom, k4_xcmplx_0(k4_xcmplx_0(228))=228).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
fof(rqRealNeg__k4_xcmplx_0__rm454_r454, axiom, k4_xcmplx_0(k4_xcmplx_0(454))=454).
fof(rqRealNeg__k4_xcmplx_0__rm455_r455, axiom, k4_xcmplx_0(k4_xcmplx_0(455))=455).
fof(rqRealNeg__k4_xcmplx_0__rm456_r456, axiom, k4_xcmplx_0(k4_xcmplx_0(456))=456).
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(spc226_numerals, axiom,  (v2_xxreal_0(226) & m1_subset_1(226, k4_ordinal1)) ).
fof(spc227_numerals, axiom,  (v2_xxreal_0(227) & m1_subset_1(227, k4_ordinal1)) ).
fof(spc228_numerals, axiom,  (v2_xxreal_0(228) & m1_subset_1(228, 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(spc454_numerals, axiom,  (v2_xxreal_0(454) & m1_subset_1(454, k4_ordinal1)) ).
fof(spc455_numerals, axiom,  (v2_xxreal_0(455) & m1_subset_1(455, k4_ordinal1)) ).
fof(spc456_numerals, axiom,  (v2_xxreal_0(456) & m1_subset_1(456, 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) ) ).
