% Mizar problem: t222_xprimes0,xprimes0,1507,7 
fof(t222_xprimes0, conjecture,  ~ (v1_int_2(222)) ).
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_r109_rm109, axiom, k6_xcmplx_0(0, 109)=k4_xcmplx_0(109)).
fof(rqRealDiff__k6_xcmplx_0__r0_r110_rm110, axiom, k6_xcmplx_0(0, 110)=k4_xcmplx_0(110)).
fof(rqRealDiff__k6_xcmplx_0__r0_r111_rm111, axiom, k6_xcmplx_0(0, 111)=k4_xcmplx_0(111)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r220_rm220, axiom, k6_xcmplx_0(0, 220)=k4_xcmplx_0(220)).
fof(rqRealDiff__k6_xcmplx_0__r0_r221_rm221, axiom, k6_xcmplx_0(0, 221)=k4_xcmplx_0(221)).
fof(rqRealDiff__k6_xcmplx_0__r0_r222_rm222, axiom, k6_xcmplx_0(0, 222)=k4_xcmplx_0(222)).
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__r109_r0_r109, axiom, k6_xcmplx_0(109, 0)=109).
fof(rqRealDiff__k6_xcmplx_0__r109_r109_r0, axiom, k6_xcmplx_0(109, 109)=0).
fof(rqRealDiff__k6_xcmplx_0__r109_r111_rm2, axiom, k6_xcmplx_0(109, 111)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r109_r220_rm111, axiom, k6_xcmplx_0(109, 220)=k4_xcmplx_0(111)).
fof(rqRealDiff__k6_xcmplx_0__r109_rm1_r110, axiom, k6_xcmplx_0(109, k4_xcmplx_0(1))=110).
fof(rqRealDiff__k6_xcmplx_0__r110_r0_r110, axiom, k6_xcmplx_0(110, 0)=110).
fof(rqRealDiff__k6_xcmplx_0__r110_r110_r0, axiom, k6_xcmplx_0(110, 110)=0).
fof(rqRealDiff__k6_xcmplx_0__r110_r1_r109, axiom, k6_xcmplx_0(110, 1)=109).
fof(rqRealDiff__k6_xcmplx_0__r110_rm110_r220, axiom, k6_xcmplx_0(110, k4_xcmplx_0(110))=220).
fof(rqRealDiff__k6_xcmplx_0__r111_r0_r111, axiom, k6_xcmplx_0(111, 0)=111).
fof(rqRealDiff__k6_xcmplx_0__r111_r111_r0, axiom, k6_xcmplx_0(111, 111)=0).
fof(rqRealDiff__k6_xcmplx_0__r111_r1_r110, axiom, k6_xcmplx_0(111, 1)=110).
fof(rqRealDiff__k6_xcmplx_0__r111_r220_rm109, axiom, k6_xcmplx_0(111, 220)=k4_xcmplx_0(109)).
fof(rqRealDiff__k6_xcmplx_0__r111_r2_r109, axiom, k6_xcmplx_0(111, 2)=109).
fof(rqRealDiff__k6_xcmplx_0__r111_rm111_r222, axiom, k6_xcmplx_0(111, k4_xcmplx_0(111))=222).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r110_rm109, axiom, k6_xcmplx_0(1, 110)=k4_xcmplx_0(109)).
fof(rqRealDiff__k6_xcmplx_0__r1_r111_rm110, axiom, k6_xcmplx_0(1, 111)=k4_xcmplx_0(110)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r221_rm220, axiom, k6_xcmplx_0(1, 221)=k4_xcmplx_0(220)).
fof(rqRealDiff__k6_xcmplx_0__r1_r222_rm221, axiom, k6_xcmplx_0(1, 222)=k4_xcmplx_0(221)).
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__r220_r0_r220, axiom, k6_xcmplx_0(220, 0)=220).
fof(rqRealDiff__k6_xcmplx_0__r220_r109_r111, axiom, k6_xcmplx_0(220, 109)=111).
fof(rqRealDiff__k6_xcmplx_0__r220_r110_r110, axiom, k6_xcmplx_0(220, 110)=110).
fof(rqRealDiff__k6_xcmplx_0__r221_r0_r221, axiom, k6_xcmplx_0(221, 0)=221).
fof(rqRealDiff__k6_xcmplx_0__r221_r1_r220, axiom, k6_xcmplx_0(221, 1)=220).
fof(rqRealDiff__k6_xcmplx_0__r221_r220_r1, axiom, k6_xcmplx_0(221, 220)=1).
fof(rqRealDiff__k6_xcmplx_0__r221_r221_r0, axiom, k6_xcmplx_0(221, 221)=0).
fof(rqRealDiff__k6_xcmplx_0__r222_r0_r222, axiom, k6_xcmplx_0(222, 0)=222).
fof(rqRealDiff__k6_xcmplx_0__r222_r111_r111, axiom, k6_xcmplx_0(222, 111)=111).
fof(rqRealDiff__k6_xcmplx_0__r222_r1_r221, axiom, k6_xcmplx_0(222, 1)=221).
fof(rqRealDiff__k6_xcmplx_0__r222_r220_r2, axiom, k6_xcmplx_0(222, 220)=2).
fof(rqRealDiff__k6_xcmplx_0__r222_r222_r0, axiom, k6_xcmplx_0(222, 222)=0).
fof(rqRealDiff__k6_xcmplx_0__r222_r2_r220, axiom, k6_xcmplx_0(222, 2)=220).
fof(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom, k6_xcmplx_0(2, 0)=2).
fof(rqRealDiff__k6_xcmplx_0__r2_r111_rm109, axiom, k6_xcmplx_0(2, 111)=k4_xcmplx_0(109)).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(2, 1)=1).
fof(rqRealDiff__k6_xcmplx_0__r2_r222_rm220, axiom, k6_xcmplx_0(2, 222)=k4_xcmplx_0(220)).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(2, 2)=0).
fof(rqRealDiff__k6_xcmplx_0__rm109_rm109_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(109), k4_xcmplx_0(109))=0).
fof(rqRealDiff__k6_xcmplx_0__rm109_rm220_r111, axiom, k6_xcmplx_0(k4_xcmplx_0(109), k4_xcmplx_0(220))=111).
fof(rqRealDiff__k6_xcmplx_0__rm110_r0_rm110, axiom, k6_xcmplx_0(k4_xcmplx_0(110), 0)=k4_xcmplx_0(110)).
fof(rqRealDiff__k6_xcmplx_0__rm110_r110_rm220, axiom, k6_xcmplx_0(k4_xcmplx_0(110), 110)=k4_xcmplx_0(220)).
fof(rqRealDiff__k6_xcmplx_0__rm110_r1_rm111, axiom, k6_xcmplx_0(k4_xcmplx_0(110), 1)=k4_xcmplx_0(111)).
fof(rqRealDiff__k6_xcmplx_0__rm110_rm110_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(110), k4_xcmplx_0(110))=0).
fof(rqRealDiff__k6_xcmplx_0__rm110_rm1_rm109, axiom, k6_xcmplx_0(k4_xcmplx_0(110), k4_xcmplx_0(1))=k4_xcmplx_0(109)).
fof(rqRealDiff__k6_xcmplx_0__rm111_r0_rm111, axiom, k6_xcmplx_0(k4_xcmplx_0(111), 0)=k4_xcmplx_0(111)).
fof(rqRealDiff__k6_xcmplx_0__rm111_r111_rm222, axiom, k6_xcmplx_0(k4_xcmplx_0(111), 111)=k4_xcmplx_0(222)).
fof(rqRealDiff__k6_xcmplx_0__rm111_rm110_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(111), k4_xcmplx_0(110))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm111_rm111_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(111), k4_xcmplx_0(111))=0).
fof(rqRealDiff__k6_xcmplx_0__rm111_rm1_rm110, axiom, k6_xcmplx_0(k4_xcmplx_0(111), k4_xcmplx_0(1))=k4_xcmplx_0(110)).
fof(rqRealDiff__k6_xcmplx_0__rm111_rm2_rm109, axiom, k6_xcmplx_0(k4_xcmplx_0(111), k4_xcmplx_0(2))=k4_xcmplx_0(109)).
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_r109_rm110, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 109)=k4_xcmplx_0(110)).
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_rm110_r109, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(110))=109).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm111_r110, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(111))=110).
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_rm221_r220, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(221))=220).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm222_r221, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(222))=221).
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__rm220_r0_rm220, axiom, k6_xcmplx_0(k4_xcmplx_0(220), 0)=k4_xcmplx_0(220)).
fof(rqRealDiff__k6_xcmplx_0__rm220_r1_rm221, axiom, k6_xcmplx_0(k4_xcmplx_0(220), 1)=k4_xcmplx_0(221)).
fof(rqRealDiff__k6_xcmplx_0__rm220_r2_rm222, axiom, k6_xcmplx_0(k4_xcmplx_0(220), 2)=k4_xcmplx_0(222)).
fof(rqRealDiff__k6_xcmplx_0__rm220_rm110_rm110, axiom, k6_xcmplx_0(k4_xcmplx_0(220), k4_xcmplx_0(110))=k4_xcmplx_0(110)).
fof(rqRealDiff__k6_xcmplx_0__rm220_rm220_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(220), k4_xcmplx_0(220))=0).
fof(rqRealDiff__k6_xcmplx_0__rm221_r0_rm221, axiom, k6_xcmplx_0(k4_xcmplx_0(221), 0)=k4_xcmplx_0(221)).
fof(rqRealDiff__k6_xcmplx_0__rm221_r1_rm222, axiom, k6_xcmplx_0(k4_xcmplx_0(221), 1)=k4_xcmplx_0(222)).
fof(rqRealDiff__k6_xcmplx_0__rm221_rm220_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(221), k4_xcmplx_0(220))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm221_rm221_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(221), k4_xcmplx_0(221))=0).
fof(rqRealDiff__k6_xcmplx_0__rm222_r0_rm222, axiom, k6_xcmplx_0(k4_xcmplx_0(222), 0)=k4_xcmplx_0(222)).
fof(rqRealDiff__k6_xcmplx_0__rm222_rm220_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(222), k4_xcmplx_0(220))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm222_rm221_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(222), k4_xcmplx_0(221))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm222_rm222_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(222), k4_xcmplx_0(222))=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_r109_rm111, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 109)=k4_xcmplx_0(111)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm111_r109, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(111))=109).
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_rm222_r220, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(222))=220).
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_rm109_rnm1d109, axiom, k7_xcmplx_0(1, k4_xcmplx_0(109))=k7_xcmplx_0(k4_xcmplx_0(1), 109)).
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_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_r110_r0, axiom, k3_xcmplx_0(0, 110)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r111_r0, axiom, k3_xcmplx_0(0, 111)=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__r109_r1_r109, axiom, k3_xcmplx_0(109, 1)=109).
fof(rqRealMult__k3_xcmplx_0__r110_r0_r0, axiom, k3_xcmplx_0(110, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r110_r1_r110, axiom, k3_xcmplx_0(110, 1)=110).
fof(rqRealMult__k3_xcmplx_0__r110_r2_r220, axiom, k3_xcmplx_0(110, 2)=220).
fof(rqRealMult__k3_xcmplx_0__r111_r0_r0, axiom, k3_xcmplx_0(111, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r111_r1_r111, axiom, k3_xcmplx_0(111, 1)=111).
fof(rqRealMult__k3_xcmplx_0__r111_r2_r222, axiom, k3_xcmplx_0(111, 2)=222).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r109_r109, axiom, k3_xcmplx_0(1, 109)=109).
fof(rqRealMult__k3_xcmplx_0__r1_r110_r110, axiom, k3_xcmplx_0(1, 110)=110).
fof(rqRealMult__k3_xcmplx_0__r1_r111_r111, axiom, k3_xcmplx_0(1, 111)=111).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r220_r220, axiom, k3_xcmplx_0(1, 220)=220).
fof(rqRealMult__k3_xcmplx_0__r1_r221_r221, axiom, k3_xcmplx_0(1, 221)=221).
fof(rqRealMult__k3_xcmplx_0__r1_r222_r222, axiom, k3_xcmplx_0(1, 222)=222).
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__r220_r1_r220, axiom, k3_xcmplx_0(220, 1)=220).
fof(rqRealMult__k3_xcmplx_0__r222_r1_r222, axiom, k3_xcmplx_0(222, 1)=222).
fof(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom, k3_xcmplx_0(2, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r2_r110_r220, axiom, k3_xcmplx_0(2, 110)=220).
fof(rqRealMult__k3_xcmplx_0__r2_r111_r222, axiom, k3_xcmplx_0(2, 111)=222).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(rqRealMult__k3_xcmplx_0__r2_rm111_rm222, axiom, k3_xcmplx_0(2, k4_xcmplx_0(111))=k4_xcmplx_0(222)).
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__rm109_r1_rm109, axiom, k3_xcmplx_0(k4_xcmplx_0(109), 1)=k4_xcmplx_0(109)).
fof(rqRealMult__k3_xcmplx_0__rm110_r1_rm110, axiom, k3_xcmplx_0(k4_xcmplx_0(110), 1)=k4_xcmplx_0(110)).
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_rm110_r220, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(110))=220).
fof(rqRealMult__k3_xcmplx_0__rm2_rm111_r222, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(111))=222).
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__rnm1d109_rm109_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 109), k4_xcmplx_0(109))=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_r220_rm110, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 220)=k4_xcmplx_0(110)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r222_rm111, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 222)=k4_xcmplx_0(111)).
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__r109_rm109, axiom, k4_xcmplx_0(109)=k4_xcmplx_0(109)).
fof(rqRealNeg__k4_xcmplx_0__r110_rm110, axiom, k4_xcmplx_0(110)=k4_xcmplx_0(110)).
fof(rqRealNeg__k4_xcmplx_0__r111_rm111, axiom, k4_xcmplx_0(111)=k4_xcmplx_0(111)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r220_rm220, axiom, k4_xcmplx_0(220)=k4_xcmplx_0(220)).
fof(rqRealNeg__k4_xcmplx_0__r221_rm221, axiom, k4_xcmplx_0(221)=k4_xcmplx_0(221)).
fof(rqRealNeg__k4_xcmplx_0__r222_rm222, axiom, k4_xcmplx_0(222)=k4_xcmplx_0(222)).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__rm109_r109, axiom, k4_xcmplx_0(k4_xcmplx_0(109))=109).
fof(rqRealNeg__k4_xcmplx_0__rm110_r110, axiom, k4_xcmplx_0(k4_xcmplx_0(110))=110).
fof(rqRealNeg__k4_xcmplx_0__rm111_r111, axiom, k4_xcmplx_0(k4_xcmplx_0(111))=111).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm220_r220, axiom, k4_xcmplx_0(k4_xcmplx_0(220))=220).
fof(rqRealNeg__k4_xcmplx_0__rm221_r221, axiom, k4_xcmplx_0(k4_xcmplx_0(221))=221).
fof(rqRealNeg__k4_xcmplx_0__rm222_r222, axiom, k4_xcmplx_0(k4_xcmplx_0(222))=222).
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(spc109_numerals, axiom,  (v2_xxreal_0(109) & m1_subset_1(109, k4_ordinal1)) ).
fof(spc110_numerals, axiom,  (v2_xxreal_0(110) & m1_subset_1(110, k4_ordinal1)) ).
fof(spc111_numerals, axiom,  (v2_xxreal_0(111) & m1_subset_1(111, k4_ordinal1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc220_numerals, axiom,  (v2_xxreal_0(220) & m1_subset_1(220, k4_ordinal1)) ).
fof(spc221_numerals, axiom,  (v2_xxreal_0(221) & m1_subset_1(221, k4_ordinal1)) ).
fof(spc222_numerals, axiom,  (v2_xxreal_0(222) & m1_subset_1(222, 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) ) ).
