% Mizar problem: t234_xprimes0,xprimes0,1579,7 
fof(t234_xprimes0, conjecture,  ~ (v1_int_2(234)) ).
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_r115_rm115, axiom, k6_xcmplx_0(0, 115)=k4_xcmplx_0(115)).
fof(rqRealDiff__k6_xcmplx_0__r0_r116_rm116, axiom, k6_xcmplx_0(0, 116)=k4_xcmplx_0(116)).
fof(rqRealDiff__k6_xcmplx_0__r0_r117_rm117, axiom, k6_xcmplx_0(0, 117)=k4_xcmplx_0(117)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r232_rm232, axiom, k6_xcmplx_0(0, 232)=k4_xcmplx_0(232)).
fof(rqRealDiff__k6_xcmplx_0__r0_r233_rm233, axiom, k6_xcmplx_0(0, 233)=k4_xcmplx_0(233)).
fof(rqRealDiff__k6_xcmplx_0__r0_r234_rm234, axiom, k6_xcmplx_0(0, 234)=k4_xcmplx_0(234)).
fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom, k6_xcmplx_0(0, 2)=k4_xcmplx_0(2)).
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__r115_r0_r115, axiom, k6_xcmplx_0(115, 0)=115).
fof(rqRealDiff__k6_xcmplx_0__r115_r116_rm1, axiom, k6_xcmplx_0(115, 116)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r115_r117_rm2, axiom, k6_xcmplx_0(115, 117)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r115_rm1_r116, axiom, k6_xcmplx_0(115, k4_xcmplx_0(1))=116).
fof(rqRealDiff__k6_xcmplx_0__r115_rm2_r117, axiom, k6_xcmplx_0(115, k4_xcmplx_0(2))=117).
fof(rqRealDiff__k6_xcmplx_0__r116_r0_r116, axiom, k6_xcmplx_0(116, 0)=116).
fof(rqRealDiff__k6_xcmplx_0__r116_r115_r1, axiom, k6_xcmplx_0(116, 115)=1).
fof(rqRealDiff__k6_xcmplx_0__r116_r116_r0, axiom, k6_xcmplx_0(116, 116)=0).
fof(rqRealDiff__k6_xcmplx_0__r116_r117_rm1, axiom, k6_xcmplx_0(116, 117)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r116_r1_r115, axiom, k6_xcmplx_0(116, 1)=115).
fof(rqRealDiff__k6_xcmplx_0__r116_rm116_r232, axiom, k6_xcmplx_0(116, k4_xcmplx_0(116))=232).
fof(rqRealDiff__k6_xcmplx_0__r117_r0_r117, axiom, k6_xcmplx_0(117, 0)=117).
fof(rqRealDiff__k6_xcmplx_0__r117_r115_r2, axiom, k6_xcmplx_0(117, 115)=2).
fof(rqRealDiff__k6_xcmplx_0__r117_r116_r1, axiom, k6_xcmplx_0(117, 116)=1).
fof(rqRealDiff__k6_xcmplx_0__r117_r1_r116, axiom, k6_xcmplx_0(117, 1)=116).
fof(rqRealDiff__k6_xcmplx_0__r117_r2_r115, axiom, k6_xcmplx_0(117, 2)=115).
fof(rqRealDiff__k6_xcmplx_0__r117_rm117_r234, axiom, k6_xcmplx_0(117, k4_xcmplx_0(117))=234).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r116_rm115, axiom, k6_xcmplx_0(1, 116)=k4_xcmplx_0(115)).
fof(rqRealDiff__k6_xcmplx_0__r1_r117_rm116, axiom, k6_xcmplx_0(1, 117)=k4_xcmplx_0(116)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r233_rm232, axiom, k6_xcmplx_0(1, 233)=k4_xcmplx_0(232)).
fof(rqRealDiff__k6_xcmplx_0__r1_r234_rm233, axiom, k6_xcmplx_0(1, 234)=k4_xcmplx_0(233)).
fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
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__r232_r0_r232, axiom, k6_xcmplx_0(232, 0)=232).
fof(rqRealDiff__k6_xcmplx_0__r232_r116_r116, axiom, k6_xcmplx_0(232, 116)=116).
fof(rqRealDiff__k6_xcmplx_0__r232_r232_r0, axiom, k6_xcmplx_0(232, 232)=0).
fof(rqRealDiff__k6_xcmplx_0__r233_r0_r233, axiom, k6_xcmplx_0(233, 0)=233).
fof(rqRealDiff__k6_xcmplx_0__r233_r1_r232, axiom, k6_xcmplx_0(233, 1)=232).
fof(rqRealDiff__k6_xcmplx_0__r233_r232_r1, axiom, k6_xcmplx_0(233, 232)=1).
fof(rqRealDiff__k6_xcmplx_0__r233_r233_r0, axiom, k6_xcmplx_0(233, 233)=0).
fof(rqRealDiff__k6_xcmplx_0__r234_r0_r234, axiom, k6_xcmplx_0(234, 0)=234).
fof(rqRealDiff__k6_xcmplx_0__r234_r117_r117, axiom, k6_xcmplx_0(234, 117)=117).
fof(rqRealDiff__k6_xcmplx_0__r234_r1_r233, axiom, k6_xcmplx_0(234, 1)=233).
fof(rqRealDiff__k6_xcmplx_0__r234_r232_r2, axiom, k6_xcmplx_0(234, 232)=2).
fof(rqRealDiff__k6_xcmplx_0__r234_r2_r232, axiom, k6_xcmplx_0(234, 2)=232).
fof(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom, k6_xcmplx_0(2, 0)=2).
fof(rqRealDiff__k6_xcmplx_0__r2_r117_rm115, axiom, k6_xcmplx_0(2, 117)=k4_xcmplx_0(115)).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(2, 1)=1).
fof(rqRealDiff__k6_xcmplx_0__r2_r234_rm232, axiom, k6_xcmplx_0(2, 234)=k4_xcmplx_0(232)).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(2, 2)=0).
fof(rqRealDiff__k6_xcmplx_0__rm115_rm115_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(115), k4_xcmplx_0(115))=0).
fof(rqRealDiff__k6_xcmplx_0__rm115_rm116_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(115), k4_xcmplx_0(116))=1).
fof(rqRealDiff__k6_xcmplx_0__rm116_r0_rm116, axiom, k6_xcmplx_0(k4_xcmplx_0(116), 0)=k4_xcmplx_0(116)).
fof(rqRealDiff__k6_xcmplx_0__rm116_r116_rm232, axiom, k6_xcmplx_0(k4_xcmplx_0(116), 116)=k4_xcmplx_0(232)).
fof(rqRealDiff__k6_xcmplx_0__rm116_r1_rm117, axiom, k6_xcmplx_0(k4_xcmplx_0(116), 1)=k4_xcmplx_0(117)).
fof(rqRealDiff__k6_xcmplx_0__rm116_rm116_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(116), k4_xcmplx_0(116))=0).
fof(rqRealDiff__k6_xcmplx_0__rm116_rm1_rm115, axiom, k6_xcmplx_0(k4_xcmplx_0(116), k4_xcmplx_0(1))=k4_xcmplx_0(115)).
fof(rqRealDiff__k6_xcmplx_0__rm117_r0_rm117, axiom, k6_xcmplx_0(k4_xcmplx_0(117), 0)=k4_xcmplx_0(117)).
fof(rqRealDiff__k6_xcmplx_0__rm117_rm116_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(117), k4_xcmplx_0(116))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm117_rm117_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(117), k4_xcmplx_0(117))=0).
fof(rqRealDiff__k6_xcmplx_0__rm117_rm1_rm116, axiom, k6_xcmplx_0(k4_xcmplx_0(117), k4_xcmplx_0(1))=k4_xcmplx_0(116)).
fof(rqRealDiff__k6_xcmplx_0__rm117_rm2_rm115, axiom, k6_xcmplx_0(k4_xcmplx_0(117), k4_xcmplx_0(2))=k4_xcmplx_0(115)).
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_rm116_r115, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(116))=115).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm117_r116, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(117))=116).
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_rm233_r232, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(233))=232).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm234_r233, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(234))=233).
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_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__rm232_r0_rm232, axiom, k6_xcmplx_0(k4_xcmplx_0(232), 0)=k4_xcmplx_0(232)).
fof(rqRealDiff__k6_xcmplx_0__rm232_r1_rm233, axiom, k6_xcmplx_0(k4_xcmplx_0(232), 1)=k4_xcmplx_0(233)).
fof(rqRealDiff__k6_xcmplx_0__rm232_r2_rm234, axiom, k6_xcmplx_0(k4_xcmplx_0(232), 2)=k4_xcmplx_0(234)).
fof(rqRealDiff__k6_xcmplx_0__rm232_rm232_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(232), k4_xcmplx_0(232))=0).
fof(rqRealDiff__k6_xcmplx_0__rm233_r0_rm233, axiom, k6_xcmplx_0(k4_xcmplx_0(233), 0)=k4_xcmplx_0(233)).
fof(rqRealDiff__k6_xcmplx_0__rm233_r1_rm234, axiom, k6_xcmplx_0(k4_xcmplx_0(233), 1)=k4_xcmplx_0(234)).
fof(rqRealDiff__k6_xcmplx_0__rm233_rm1_rm232, axiom, k6_xcmplx_0(k4_xcmplx_0(233), k4_xcmplx_0(1))=k4_xcmplx_0(232)).
fof(rqRealDiff__k6_xcmplx_0__rm233_rm232_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(233), k4_xcmplx_0(232))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm233_rm233_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(233), k4_xcmplx_0(233))=0).
fof(rqRealDiff__k6_xcmplx_0__rm234_r0_rm234, axiom, k6_xcmplx_0(k4_xcmplx_0(234), 0)=k4_xcmplx_0(234)).
fof(rqRealDiff__k6_xcmplx_0__rm234_rm232_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(234), k4_xcmplx_0(232))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm234_rm233_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(234), k4_xcmplx_0(233))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm234_rm234_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(234), k4_xcmplx_0(234))=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_rm117_r115, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(117))=115).
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_rm234_r232, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(234))=232).
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__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_rm233_rnm1d233, axiom, k7_xcmplx_0(1, k4_xcmplx_0(233))=k7_xcmplx_0(k4_xcmplx_0(1), 233)).
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_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__r115_r1_r115, axiom, k3_xcmplx_0(115, 1)=115).
fof(rqRealMult__k3_xcmplx_0__r116_r1_r116, axiom, k3_xcmplx_0(116, 1)=116).
fof(rqRealMult__k3_xcmplx_0__r116_r2_r232, axiom, k3_xcmplx_0(116, 2)=232).
fof(rqRealMult__k3_xcmplx_0__r117_r1_r117, axiom, k3_xcmplx_0(117, 1)=117).
fof(rqRealMult__k3_xcmplx_0__r117_r2_r234, axiom, k3_xcmplx_0(117, 2)=234).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r115_r115, axiom, k3_xcmplx_0(1, 115)=115).
fof(rqRealMult__k3_xcmplx_0__r1_r116_r116, axiom, k3_xcmplx_0(1, 116)=116).
fof(rqRealMult__k3_xcmplx_0__r1_r117_r117, axiom, k3_xcmplx_0(1, 117)=117).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r232_r232, axiom, k3_xcmplx_0(1, 232)=232).
fof(rqRealMult__k3_xcmplx_0__r1_r233_r233, axiom, k3_xcmplx_0(1, 233)=233).
fof(rqRealMult__k3_xcmplx_0__r1_r234_r234, axiom, k3_xcmplx_0(1, 234)=234).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
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__r232_r1_r232, axiom, k3_xcmplx_0(232, 1)=232).
fof(rqRealMult__k3_xcmplx_0__r233_r1_r233, axiom, k3_xcmplx_0(233, 1)=233).
fof(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom, k3_xcmplx_0(2, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r2_r116_r232, axiom, k3_xcmplx_0(2, 116)=232).
fof(rqRealMult__k3_xcmplx_0__r2_r117_r234, axiom, k3_xcmplx_0(2, 117)=234).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(rqRealMult__k3_xcmplx_0__r2_rm117_rm234, axiom, k3_xcmplx_0(2, k4_xcmplx_0(117))=k4_xcmplx_0(234)).
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__rm116_r1_rm116, axiom, k3_xcmplx_0(k4_xcmplx_0(116), 1)=k4_xcmplx_0(116)).
fof(rqRealMult__k3_xcmplx_0__rm232_r1_rm232, axiom, k3_xcmplx_0(k4_xcmplx_0(232), 1)=k4_xcmplx_0(232)).
fof(rqRealMult__k3_xcmplx_0__rm233_r1_rm233, axiom, k3_xcmplx_0(k4_xcmplx_0(233), 1)=k4_xcmplx_0(233)).
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_rm116_r232, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(116))=232).
fof(rqRealMult__k3_xcmplx_0__rm2_rm117_r234, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(117))=234).
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__rnm1d233_rm233_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 233), k4_xcmplx_0(233))=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_r232_rm116, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 232)=k4_xcmplx_0(116)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r234_rm117, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 234)=k4_xcmplx_0(117)).
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_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__r115_rm115, axiom, k4_xcmplx_0(115)=k4_xcmplx_0(115)).
fof(rqRealNeg__k4_xcmplx_0__r116_rm116, axiom, k4_xcmplx_0(116)=k4_xcmplx_0(116)).
fof(rqRealNeg__k4_xcmplx_0__r117_rm117, axiom, k4_xcmplx_0(117)=k4_xcmplx_0(117)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r232_rm232, axiom, k4_xcmplx_0(232)=k4_xcmplx_0(232)).
fof(rqRealNeg__k4_xcmplx_0__r233_rm233, axiom, k4_xcmplx_0(233)=k4_xcmplx_0(233)).
fof(rqRealNeg__k4_xcmplx_0__r234_rm234, axiom, k4_xcmplx_0(234)=k4_xcmplx_0(234)).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__rm115_r115, axiom, k4_xcmplx_0(k4_xcmplx_0(115))=115).
fof(rqRealNeg__k4_xcmplx_0__rm116_r116, axiom, k4_xcmplx_0(k4_xcmplx_0(116))=116).
fof(rqRealNeg__k4_xcmplx_0__rm117_r117, axiom, k4_xcmplx_0(k4_xcmplx_0(117))=117).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm232_r232, axiom, k4_xcmplx_0(k4_xcmplx_0(232))=232).
fof(rqRealNeg__k4_xcmplx_0__rm233_r233, axiom, k4_xcmplx_0(k4_xcmplx_0(233))=233).
fof(rqRealNeg__k4_xcmplx_0__rm234_r234, axiom, k4_xcmplx_0(k4_xcmplx_0(234))=234).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
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(spc115_numerals, axiom,  (v2_xxreal_0(115) & m1_subset_1(115, k4_ordinal1)) ).
fof(spc116_numerals, axiom,  (v2_xxreal_0(116) & m1_subset_1(116, k4_ordinal1)) ).
fof(spc117_numerals, axiom,  (v2_xxreal_0(117) & m1_subset_1(117, k4_ordinal1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc232_numerals, axiom,  (v2_xxreal_0(232) & m1_subset_1(232, k4_ordinal1)) ).
fof(spc233_numerals, axiom,  (v2_xxreal_0(233) & m1_subset_1(233, k4_ordinal1)) ).
fof(spc234_numerals, axiom,  (v2_xxreal_0(234) & m1_subset_1(234, 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(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) ) ).
