% Mizar problem: t1147_xprimes0,xprimes0,8055,7 
fof(t1147_xprimes0, conjecture,  ~ (v1_int_2(1147)) ).
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_r1147_rm1147, axiom, k6_xcmplx_0(0, 1147)=k4_xcmplx_0(1147)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r30_rm30, axiom, k6_xcmplx_0(0, 30)=k4_xcmplx_0(30)).
fof(rqRealDiff__k6_xcmplx_0__r0_r31_rm31, axiom, k6_xcmplx_0(0, 31)=k4_xcmplx_0(31)).
fof(rqRealDiff__k6_xcmplx_0__r0_r36_rm36, axiom, k6_xcmplx_0(0, 36)=k4_xcmplx_0(36)).
fof(rqRealDiff__k6_xcmplx_0__r0_r37_rm37, axiom, k6_xcmplx_0(0, 37)=k4_xcmplx_0(37)).
fof(rqRealDiff__k6_xcmplx_0__r0_r6_rm6, axiom, k6_xcmplx_0(0, 6)=k4_xcmplx_0(6)).
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_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_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__r1147_r1_r1146, axiom, k6_xcmplx_0(1147, 1)=1146).
fof(rqRealDiff__k6_xcmplx_0__r1147_r31_r1116, axiom, k6_xcmplx_0(1147, 31)=1116).
fof(rqRealDiff__k6_xcmplx_0__r1147_r37_r1110, axiom, k6_xcmplx_0(1147, 37)=1110).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1147_rm1146, axiom, k6_xcmplx_0(1, 1147)=k4_xcmplx_0(1146)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r31_rm30, axiom, k6_xcmplx_0(1, 31)=k4_xcmplx_0(30)).
fof(rqRealDiff__k6_xcmplx_0__r1_r37_rm36, axiom, k6_xcmplx_0(1, 37)=k4_xcmplx_0(36)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm36_r37, axiom, k6_xcmplx_0(1, k4_xcmplx_0(36))=37).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d31_rn30d31, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 31))=k7_xcmplx_0(30, 31)).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d30_rn31d30, axiom, k6_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 30))=k7_xcmplx_0(31, 30)).
fof(rqRealDiff__k6_xcmplx_0__r30_r0_r30, axiom, k6_xcmplx_0(30, 0)=30).
fof(rqRealDiff__k6_xcmplx_0__r30_r30_r0, axiom, k6_xcmplx_0(30, 30)=0).
fof(rqRealDiff__k6_xcmplx_0__r30_r31_rm1, axiom, k6_xcmplx_0(30, 31)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r30_r36_rm6, axiom, k6_xcmplx_0(30, 36)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__r30_rm1_r31, axiom, k6_xcmplx_0(30, k4_xcmplx_0(1))=31).
fof(rqRealDiff__k6_xcmplx_0__r31_r0_r31, axiom, k6_xcmplx_0(31, 0)=31).
fof(rqRealDiff__k6_xcmplx_0__r31_r1147_rm1116, axiom, k6_xcmplx_0(31, 1147)=k4_xcmplx_0(1116)).
fof(rqRealDiff__k6_xcmplx_0__r31_r1_r30, axiom, k6_xcmplx_0(31, 1)=30).
fof(rqRealDiff__k6_xcmplx_0__r31_r30_r1, axiom, k6_xcmplx_0(31, 30)=1).
fof(rqRealDiff__k6_xcmplx_0__r31_r31_r0, axiom, k6_xcmplx_0(31, 31)=0).
fof(rqRealDiff__k6_xcmplx_0__r31_r37_rm6, axiom, k6_xcmplx_0(31, 37)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__r36_r0_r36, axiom, k6_xcmplx_0(36, 0)=36).
fof(rqRealDiff__k6_xcmplx_0__r36_r30_r6, axiom, k6_xcmplx_0(36, 30)=6).
fof(rqRealDiff__k6_xcmplx_0__r36_r36_r0, axiom, k6_xcmplx_0(36, 36)=0).
fof(rqRealDiff__k6_xcmplx_0__r36_r6_r30, axiom, k6_xcmplx_0(36, 6)=30).
fof(rqRealDiff__k6_xcmplx_0__r36_rm1_r37, axiom, k6_xcmplx_0(36, k4_xcmplx_0(1))=37).
fof(rqRealDiff__k6_xcmplx_0__r37_r0_r37, axiom, k6_xcmplx_0(37, 0)=37).
fof(rqRealDiff__k6_xcmplx_0__r37_r1_r36, axiom, k6_xcmplx_0(37, 1)=36).
fof(rqRealDiff__k6_xcmplx_0__r37_r31_r6, axiom, k6_xcmplx_0(37, 31)=6).
fof(rqRealDiff__k6_xcmplx_0__r37_r36_r1, axiom, k6_xcmplx_0(37, 36)=1).
fof(rqRealDiff__k6_xcmplx_0__r37_r37_r0, axiom, k6_xcmplx_0(37, 37)=0).
fof(rqRealDiff__k6_xcmplx_0__r37_r6_r31, axiom, k6_xcmplx_0(37, 6)=31).
fof(rqRealDiff__k6_xcmplx_0__r6_r0_r6, axiom, k6_xcmplx_0(6, 0)=6).
fof(rqRealDiff__k6_xcmplx_0__r6_r36_rm30, axiom, k6_xcmplx_0(6, 36)=k4_xcmplx_0(30)).
fof(rqRealDiff__k6_xcmplx_0__r6_r37_rm31, axiom, k6_xcmplx_0(6, 37)=k4_xcmplx_0(31)).
fof(rqRealDiff__k6_xcmplx_0__r6_r6_r0, axiom, k6_xcmplx_0(6, 6)=0).
fof(rqRealDiff__k6_xcmplx_0__r6_rnm1d6_rn37d6, axiom, k6_xcmplx_0(6, k7_xcmplx_0(k4_xcmplx_0(1), 6))=k7_xcmplx_0(37, 6)).
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_r30_rm31, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 30)=k4_xcmplx_0(31)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r36_rm37, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 36)=k4_xcmplx_0(37)).
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_rm31_r30, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(31))=30).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm37_r36, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(37))=36).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d30_rnm31d30, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 30))=k7_xcmplx_0(k4_xcmplx_0(31), 30)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d36_rnm37d36, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 36))=k7_xcmplx_0(k4_xcmplx_0(37), 36)).
fof(rqRealDiff__k6_xcmplx_0__rm30_r1_rm31, axiom, k6_xcmplx_0(k4_xcmplx_0(30), 1)=k4_xcmplx_0(31)).
fof(rqRealDiff__k6_xcmplx_0__rm30_r6_rm36, axiom, k6_xcmplx_0(k4_xcmplx_0(30), 6)=k4_xcmplx_0(36)).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm30_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(30), k4_xcmplx_0(30))=0).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm36_r6, axiom, k6_xcmplx_0(k4_xcmplx_0(30), k4_xcmplx_0(36))=6).
fof(rqRealDiff__k6_xcmplx_0__rm31_r0_rm31, axiom, k6_xcmplx_0(k4_xcmplx_0(31), 0)=k4_xcmplx_0(31)).
fof(rqRealDiff__k6_xcmplx_0__rm31_rm1_rm30, axiom, k6_xcmplx_0(k4_xcmplx_0(31), k4_xcmplx_0(1))=k4_xcmplx_0(30)).
fof(rqRealDiff__k6_xcmplx_0__rm31_rm30_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(31), k4_xcmplx_0(30))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm31_rm31_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(31), k4_xcmplx_0(31))=0).
fof(rqRealDiff__k6_xcmplx_0__rm31_rm37_r6, axiom, k6_xcmplx_0(k4_xcmplx_0(31), k4_xcmplx_0(37))=6).
fof(rqRealDiff__k6_xcmplx_0__rm36_r0_rm36, axiom, k6_xcmplx_0(k4_xcmplx_0(36), 0)=k4_xcmplx_0(36)).
fof(rqRealDiff__k6_xcmplx_0__rm36_r1_rm37, axiom, k6_xcmplx_0(k4_xcmplx_0(36), 1)=k4_xcmplx_0(37)).
fof(rqRealDiff__k6_xcmplx_0__rm36_rm36_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(36), k4_xcmplx_0(36))=0).
fof(rqRealDiff__k6_xcmplx_0__rm37_r0_rm37, axiom, k6_xcmplx_0(k4_xcmplx_0(37), 0)=k4_xcmplx_0(37)).
fof(rqRealDiff__k6_xcmplx_0__rm37_rm1_rm36, axiom, k6_xcmplx_0(k4_xcmplx_0(37), k4_xcmplx_0(1))=k4_xcmplx_0(36)).
fof(rqRealDiff__k6_xcmplx_0__rm37_rm31_rm6, axiom, k6_xcmplx_0(k4_xcmplx_0(37), k4_xcmplx_0(31))=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__rm37_rm36_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(37), k4_xcmplx_0(36))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm37_rm37_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(37), k4_xcmplx_0(37))=0).
fof(rqRealDiff__k6_xcmplx_0__rm37_rm6_rm31, axiom, k6_xcmplx_0(k4_xcmplx_0(37), k4_xcmplx_0(6))=k4_xcmplx_0(31)).
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_r30_rm36, axiom, k6_xcmplx_0(k4_xcmplx_0(6), 30)=k4_xcmplx_0(36)).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm36_r30, axiom, k6_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(36))=30).
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_rn1d6_rnm37d6, axiom, k6_xcmplx_0(k4_xcmplx_0(6), k7_xcmplx_0(1, 6))=k7_xcmplx_0(k4_xcmplx_0(37), 6)).
fof(rqRealDiff__k6_xcmplx_0__rn1d36_rm1_rn37d36, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 36), k4_xcmplx_0(1))=k7_xcmplx_0(37, 36)).
fof(rqRealDiff__k6_xcmplx_0__rn1d36_rn1d36_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 36), k7_xcmplx_0(1, 36))=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_rm6_rn37d6, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 6), k4_xcmplx_0(6))=k7_xcmplx_0(37, 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__rnm1d30_r1_rnm31d30, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 30), 1)=k7_xcmplx_0(k4_xcmplx_0(31), 30)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d30_rnm1d30_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 30), k7_xcmplx_0(k4_xcmplx_0(1), 30))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d36_rnm1d36_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 36), k7_xcmplx_0(k4_xcmplx_0(1), 36))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_r6_rnm37d6, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), 6)=k7_xcmplx_0(k4_xcmplx_0(37), 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__rnm31d30_rnm31d30_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(31), 30), k7_xcmplx_0(k4_xcmplx_0(31), 30))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm31d6_rnm31d6_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(31), 6), k7_xcmplx_0(k4_xcmplx_0(31), 6))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r30_rn1d30, axiom, k7_xcmplx_0(1, 30)=k7_xcmplx_0(1, 30)).
fof(rqRealDiv__k7_xcmplx_0__r1_r31_rn1d31, axiom, k7_xcmplx_0(1, 31)=k7_xcmplx_0(1, 31)).
fof(rqRealDiv__k7_xcmplx_0__r1_r36_rn1d36, axiom, k7_xcmplx_0(1, 36)=k7_xcmplx_0(1, 36)).
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_rm1_rm1, axiom, k7_xcmplx_0(1, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm31_rnm1d31, axiom, k7_xcmplx_0(1, k4_xcmplx_0(31))=k7_xcmplx_0(k4_xcmplx_0(1), 31)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm36_rnm1d36, axiom, k7_xcmplx_0(1, k4_xcmplx_0(36))=k7_xcmplx_0(k4_xcmplx_0(1), 36)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm37_rnm1d37, axiom, k7_xcmplx_0(1, k4_xcmplx_0(37))=k7_xcmplx_0(k4_xcmplx_0(1), 37)).
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_rn1d6_r6, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 6))=6).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d30_rm30, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 30))=k4_xcmplx_0(30)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d36_rm36, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 36))=k4_xcmplx_0(36)).
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__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_r30_r0, axiom, k3_xcmplx_0(0, 30)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r6_r0, axiom, k3_xcmplx_0(0, 6)=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d30_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 30))=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__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_r30_r30, axiom, k3_xcmplx_0(1, 30)=30).
fof(rqRealMult__k3_xcmplx_0__r1_r31_r31, axiom, k3_xcmplx_0(1, 31)=31).
fof(rqRealMult__k3_xcmplx_0__r1_r36_r36, axiom, k3_xcmplx_0(1, 36)=36).
fof(rqRealMult__k3_xcmplx_0__r1_r37_r37, axiom, k3_xcmplx_0(1, 37)=37).
fof(rqRealMult__k3_xcmplx_0__r1_r6_r6, axiom, k3_xcmplx_0(1, 6)=6).
fof(rqRealMult__k3_xcmplx_0__r1_rm30_rm30, axiom, k3_xcmplx_0(1, k4_xcmplx_0(30))=k4_xcmplx_0(30)).
fof(rqRealMult__k3_xcmplx_0__r1_rm36_rm36, axiom, k3_xcmplx_0(1, k4_xcmplx_0(36))=k4_xcmplx_0(36)).
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_rn1d30_rn1d30, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 30))=k7_xcmplx_0(1, 30)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d36_rn1d36, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 36))=k7_xcmplx_0(1, 36)).
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__r30_r0_r0, axiom, k3_xcmplx_0(30, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r30_r1_r30, axiom, k3_xcmplx_0(30, 1)=30).
fof(rqRealMult__k3_xcmplx_0__r30_r37_r1110, axiom, k3_xcmplx_0(30, 37)=1110).
fof(rqRealMult__k3_xcmplx_0__r30_rm37_rm1110, axiom, k3_xcmplx_0(30, k4_xcmplx_0(37))=k4_xcmplx_0(1110)).
fof(rqRealMult__k3_xcmplx_0__r30_rn1d30_r1, axiom, k3_xcmplx_0(30, k7_xcmplx_0(1, 30))=1).
fof(rqRealMult__k3_xcmplx_0__r30_rnm1d31_rnm30d31, axiom, k3_xcmplx_0(30, k7_xcmplx_0(k4_xcmplx_0(1), 31))=k7_xcmplx_0(k4_xcmplx_0(30), 31)).
fof(rqRealMult__k3_xcmplx_0__r31_r1_r31, axiom, k3_xcmplx_0(31, 1)=31).
fof(rqRealMult__k3_xcmplx_0__r31_r36_r1116, axiom, k3_xcmplx_0(31, 36)=1116).
fof(rqRealMult__k3_xcmplx_0__r31_r37_r1147, axiom, k3_xcmplx_0(31, 37)=1147).
fof(rqRealMult__k3_xcmplx_0__r31_rnm1d31_rm1, axiom, k3_xcmplx_0(31, k7_xcmplx_0(k4_xcmplx_0(1), 31))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r36_r1_r36, axiom, k3_xcmplx_0(36, 1)=36).
fof(rqRealMult__k3_xcmplx_0__r36_r31_r1116, axiom, k3_xcmplx_0(36, 31)=1116).
fof(rqRealMult__k3_xcmplx_0__r36_rn1d36_r1, axiom, k3_xcmplx_0(36, k7_xcmplx_0(1, 36))=1).
fof(rqRealMult__k3_xcmplx_0__r36_rnm1d36_rm1, axiom, k3_xcmplx_0(36, k7_xcmplx_0(k4_xcmplx_0(1), 36))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r37_r1_r37, axiom, k3_xcmplx_0(37, 1)=37).
fof(rqRealMult__k3_xcmplx_0__r37_r30_r1110, axiom, k3_xcmplx_0(37, 30)=1110).
fof(rqRealMult__k3_xcmplx_0__r37_r31_r1147, axiom, k3_xcmplx_0(37, 31)=1147).
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_r6_r36, axiom, k3_xcmplx_0(6, 6)=36).
fof(rqRealMult__k3_xcmplx_0__r6_rm6_rm36, axiom, k3_xcmplx_0(6, k4_xcmplx_0(6))=k4_xcmplx_0(36)).
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_rnm1d36_rnm1d6, axiom, k3_xcmplx_0(6, k7_xcmplx_0(k4_xcmplx_0(1), 36))=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
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__rm30_r1_rm30, axiom, k3_xcmplx_0(k4_xcmplx_0(30), 1)=k4_xcmplx_0(30)).
fof(rqRealMult__k3_xcmplx_0__rm30_rn1d30_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(30), k7_xcmplx_0(1, 30))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm30_rnm1d30_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(30), k7_xcmplx_0(k4_xcmplx_0(1), 30))=1).
fof(rqRealMult__k3_xcmplx_0__rm31_r1_rm31, axiom, k3_xcmplx_0(k4_xcmplx_0(31), 1)=k4_xcmplx_0(31)).
fof(rqRealMult__k3_xcmplx_0__rm31_rm37_r1147, axiom, k3_xcmplx_0(k4_xcmplx_0(31), k4_xcmplx_0(37))=1147).
fof(rqRealMult__k3_xcmplx_0__rm31_rnm1d31_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(31), k7_xcmplx_0(k4_xcmplx_0(1), 31))=1).
fof(rqRealMult__k3_xcmplx_0__rm36_r1_rm36, axiom, k3_xcmplx_0(k4_xcmplx_0(36), 1)=k4_xcmplx_0(36)).
fof(rqRealMult__k3_xcmplx_0__rm36_rn1d36_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(36), k7_xcmplx_0(1, 36))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm36_rnm1d36_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(36), k7_xcmplx_0(k4_xcmplx_0(1), 36))=1).
fof(rqRealMult__k3_xcmplx_0__rm37_r1_rm37, axiom, k3_xcmplx_0(k4_xcmplx_0(37), 1)=k4_xcmplx_0(37)).
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_r6_rm36, axiom, k3_xcmplx_0(k4_xcmplx_0(6), 6)=k4_xcmplx_0(36)).
fof(rqRealMult__k3_xcmplx_0__rm6_rm6_r36, axiom, k3_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(6))=36).
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_rnm1d36_rn1d6, axiom, k3_xcmplx_0(k4_xcmplx_0(6), k7_xcmplx_0(k4_xcmplx_0(1), 36))=k7_xcmplx_0(1, 6)).
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__rn1d30_r1_rn1d30, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 30), 1)=k7_xcmplx_0(1, 30)).
fof(rqRealMult__k3_xcmplx_0__rn1d30_r30_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 30), 30)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d31_r31_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 31), 31)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d36_r1_rn1d36, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 36), 1)=k7_xcmplx_0(1, 36)).
fof(rqRealMult__k3_xcmplx_0__rn1d36_r36_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 36), 36)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d36_rm36_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 36), k4_xcmplx_0(36))=k4_xcmplx_0(1)).
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_rm6_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 6), k4_xcmplx_0(6))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d30_r1_rnm1d30, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 30), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 30)).
fof(rqRealMult__k3_xcmplx_0__rnm1d31_r1147_rm37, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 31), 1147)=k4_xcmplx_0(37)).
fof(rqRealMult__k3_xcmplx_0__rnm1d31_r31_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 31), 31)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d31_rm31_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 31), k4_xcmplx_0(31))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d36_r1_rnm1d36, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 36), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 36)).
fof(rqRealMult__k3_xcmplx_0__rnm1d36_rm36_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 36), k4_xcmplx_0(36))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d37_rm37_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 37), k4_xcmplx_0(37))=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_r36_rm6, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), 36)=k4_xcmplx_0(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_rm6_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), k4_xcmplx_0(6))=1).
fof(rqRealMult__k3_xcmplx_0__rnm31d30_r1_rnm31d30, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(31), 30), 1)=k7_xcmplx_0(k4_xcmplx_0(31), 30)).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r1147_rm1147, axiom, k4_xcmplx_0(1147)=k4_xcmplx_0(1147)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r30_rm30, axiom, k4_xcmplx_0(30)=k4_xcmplx_0(30)).
fof(rqRealNeg__k4_xcmplx_0__r31_rm31, axiom, k4_xcmplx_0(31)=k4_xcmplx_0(31)).
fof(rqRealNeg__k4_xcmplx_0__r36_rm36, axiom, k4_xcmplx_0(36)=k4_xcmplx_0(36)).
fof(rqRealNeg__k4_xcmplx_0__r37_rm37, axiom, k4_xcmplx_0(37)=k4_xcmplx_0(37)).
fof(rqRealNeg__k4_xcmplx_0__r6_rm6, axiom, k4_xcmplx_0(6)=k4_xcmplx_0(6)).
fof(rqRealNeg__k4_xcmplx_0__rm1110_r1110, axiom, k4_xcmplx_0(k4_xcmplx_0(1110))=1110).
fof(rqRealNeg__k4_xcmplx_0__rm1146_r1146, axiom, k4_xcmplx_0(k4_xcmplx_0(1146))=1146).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm30_r30, axiom, k4_xcmplx_0(k4_xcmplx_0(30))=30).
fof(rqRealNeg__k4_xcmplx_0__rm31_r31, axiom, k4_xcmplx_0(k4_xcmplx_0(31))=31).
fof(rqRealNeg__k4_xcmplx_0__rm36_r36, axiom, k4_xcmplx_0(k4_xcmplx_0(36))=36).
fof(rqRealNeg__k4_xcmplx_0__rm37_r37, axiom, k4_xcmplx_0(k4_xcmplx_0(37))=37).
fof(rqRealNeg__k4_xcmplx_0__rm6_r6, axiom, k4_xcmplx_0(k4_xcmplx_0(6))=6).
fof(rqRealNeg__k4_xcmplx_0__rn1d30_rnm1d30, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 30))=k7_xcmplx_0(k4_xcmplx_0(1), 30)).
fof(rqRealNeg__k4_xcmplx_0__rn1d31_rnm1d31, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 31))=k7_xcmplx_0(k4_xcmplx_0(1), 31)).
fof(rqRealNeg__k4_xcmplx_0__rn1d36_rnm1d36, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 36))=k7_xcmplx_0(k4_xcmplx_0(1), 36)).
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__rn31d30_rnm31d30, axiom, k4_xcmplx_0(k7_xcmplx_0(31, 30))=k7_xcmplx_0(k4_xcmplx_0(31), 30)).
fof(rqRealNeg__k4_xcmplx_0__rn31d36_rnm31d36, axiom, k4_xcmplx_0(k7_xcmplx_0(31, 36))=k7_xcmplx_0(k4_xcmplx_0(31), 36)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d30_rn1d30, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 30))=k7_xcmplx_0(1, 30)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d31_rn1d31, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 31))=k7_xcmplx_0(1, 31)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d36_rn1d36, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 36))=k7_xcmplx_0(1, 36)).
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__rnm30d31_rn30d31, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(30), 31))=k7_xcmplx_0(30, 31)).
fof(rqRealNeg__k4_xcmplx_0__rnm31d30_rn31d30, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(31), 30))=k7_xcmplx_0(31, 30)).
fof(rqRealNeg__k4_xcmplx_0__rnm37d36_rn37d36, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(37), 36))=k7_xcmplx_0(37, 36)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc1110_numerals, axiom,  (v2_xxreal_0(1110) & m1_subset_1(1110, k4_ordinal1)) ).
fof(spc1116_numerals, axiom,  (v2_xxreal_0(1116) & m1_subset_1(1116, k4_ordinal1)) ).
fof(spc1146_numerals, axiom,  (v2_xxreal_0(1146) & m1_subset_1(1146, k4_ordinal1)) ).
fof(spc1147_numerals, axiom,  (v2_xxreal_0(1147) & m1_subset_1(1147, 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(spc30_numerals, axiom,  (v2_xxreal_0(30) & m1_subset_1(30, k4_ordinal1)) ).
fof(spc31_numerals, axiom,  (v2_xxreal_0(31) & m1_subset_1(31, k4_ordinal1)) ).
fof(spc36_numerals, axiom,  (v2_xxreal_0(36) & m1_subset_1(36, k4_ordinal1)) ).
fof(spc37_numerals, axiom,  (v2_xxreal_0(37) & m1_subset_1(37, 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(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(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) ) ).
