% Mizar problem: t112_xprimes0,xprimes0,735,7 
fof(t112_xprimes0, conjecture,  ~ (v1_int_2(112)) ).
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_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_r112_rm112, axiom, k6_xcmplx_0(0, 112)=k4_xcmplx_0(112)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom, k6_xcmplx_0(0, 2)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r0_r54_rm54, axiom, k6_xcmplx_0(0, 54)=k4_xcmplx_0(54)).
fof(rqRealDiff__k6_xcmplx_0__r0_r55_rm55, axiom, k6_xcmplx_0(0, 55)=k4_xcmplx_0(55)).
fof(rqRealDiff__k6_xcmplx_0__r0_r56_rm56, axiom, k6_xcmplx_0(0, 56)=k4_xcmplx_0(56)).
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__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_r54_r56, axiom, k6_xcmplx_0(110, 54)=56).
fof(rqRealDiff__k6_xcmplx_0__r110_r55_r55, axiom, k6_xcmplx_0(110, 55)=55).
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_r112_rm1, axiom, k6_xcmplx_0(111, 112)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r111_r1_r110, axiom, k6_xcmplx_0(111, 1)=110).
fof(rqRealDiff__k6_xcmplx_0__r111_r55_r56, axiom, k6_xcmplx_0(111, 55)=56).
fof(rqRealDiff__k6_xcmplx_0__r112_r0_r112, axiom, k6_xcmplx_0(112, 0)=112).
fof(rqRealDiff__k6_xcmplx_0__r112_r111_r1, axiom, k6_xcmplx_0(112, 111)=1).
fof(rqRealDiff__k6_xcmplx_0__r112_r112_r0, axiom, k6_xcmplx_0(112, 112)=0).
fof(rqRealDiff__k6_xcmplx_0__r112_r1_r111, axiom, k6_xcmplx_0(112, 1)=111).
fof(rqRealDiff__k6_xcmplx_0__r112_r2_r110, axiom, k6_xcmplx_0(112, 2)=110).
fof(rqRealDiff__k6_xcmplx_0__r112_r56_r56, axiom, k6_xcmplx_0(112, 56)=56).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r111_rm110, axiom, k6_xcmplx_0(1, 111)=k4_xcmplx_0(110)).
fof(rqRealDiff__k6_xcmplx_0__r1_r112_rm111, axiom, k6_xcmplx_0(1, 112)=k4_xcmplx_0(111)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1_r55_rm54, axiom, k6_xcmplx_0(1, 55)=k4_xcmplx_0(54)).
fof(rqRealDiff__k6_xcmplx_0__r1_r56_rm55, axiom, k6_xcmplx_0(1, 56)=k4_xcmplx_0(55)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(1, k4_xcmplx_0(1))=2).
fof(rqRealDiff__k6_xcmplx_0__r1_rm54_r55, axiom, k6_xcmplx_0(1, k4_xcmplx_0(54))=55).
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__r2_r0_r2, axiom, k6_xcmplx_0(2, 0)=2).
fof(rqRealDiff__k6_xcmplx_0__r2_r112_rm110, axiom, k6_xcmplx_0(2, 112)=k4_xcmplx_0(110)).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(2, 1)=1).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(2, 2)=0).
fof(rqRealDiff__k6_xcmplx_0__r2_r56_rm54, axiom, k6_xcmplx_0(2, 56)=k4_xcmplx_0(54)).
fof(rqRealDiff__k6_xcmplx_0__r2_rm54_r56, axiom, k6_xcmplx_0(2, k4_xcmplx_0(54))=56).
fof(rqRealDiff__k6_xcmplx_0__r54_r0_r54, axiom, k6_xcmplx_0(54, 0)=54).
fof(rqRealDiff__k6_xcmplx_0__r54_r110_rm56, axiom, k6_xcmplx_0(54, 110)=k4_xcmplx_0(56)).
fof(rqRealDiff__k6_xcmplx_0__r54_r54_r0, axiom, k6_xcmplx_0(54, 54)=0).
fof(rqRealDiff__k6_xcmplx_0__r54_r56_rm2, axiom, k6_xcmplx_0(54, 56)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r54_rm1_r55, axiom, k6_xcmplx_0(54, k4_xcmplx_0(1))=55).
fof(rqRealDiff__k6_xcmplx_0__r55_r0_r55, axiom, k6_xcmplx_0(55, 0)=55).
fof(rqRealDiff__k6_xcmplx_0__r55_r1_r54, axiom, k6_xcmplx_0(55, 1)=54).
fof(rqRealDiff__k6_xcmplx_0__r55_r55_r0, axiom, k6_xcmplx_0(55, 55)=0).
fof(rqRealDiff__k6_xcmplx_0__r55_r56_rm1, axiom, k6_xcmplx_0(55, 56)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r55_rm1_r56, axiom, k6_xcmplx_0(55, k4_xcmplx_0(1))=56).
fof(rqRealDiff__k6_xcmplx_0__r56_r0_r56, axiom, k6_xcmplx_0(56, 0)=56).
fof(rqRealDiff__k6_xcmplx_0__r56_r110_rm54, axiom, k6_xcmplx_0(56, 110)=k4_xcmplx_0(54)).
fof(rqRealDiff__k6_xcmplx_0__r56_r112_rm56, axiom, k6_xcmplx_0(56, 112)=k4_xcmplx_0(56)).
fof(rqRealDiff__k6_xcmplx_0__r56_r1_r55, axiom, k6_xcmplx_0(56, 1)=55).
fof(rqRealDiff__k6_xcmplx_0__r56_r2_r54, axiom, k6_xcmplx_0(56, 2)=54).
fof(rqRealDiff__k6_xcmplx_0__r56_r55_r1, axiom, k6_xcmplx_0(56, 55)=1).
fof(rqRealDiff__k6_xcmplx_0__r56_r56_r0, axiom, k6_xcmplx_0(56, 56)=0).
fof(rqRealDiff__k6_xcmplx_0__r56_rm56_r112, axiom, k6_xcmplx_0(56, k4_xcmplx_0(56))=112).
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_r1_rm111, axiom, k6_xcmplx_0(k4_xcmplx_0(110), 1)=k4_xcmplx_0(111)).
fof(rqRealDiff__k6_xcmplx_0__rm110_r2_rm112, axiom, k6_xcmplx_0(k4_xcmplx_0(110), 2)=k4_xcmplx_0(112)).
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_rm54_rm56, axiom, k6_xcmplx_0(k4_xcmplx_0(110), k4_xcmplx_0(54))=k4_xcmplx_0(56)).
fof(rqRealDiff__k6_xcmplx_0__rm110_rm56_rm54, axiom, k6_xcmplx_0(k4_xcmplx_0(110), k4_xcmplx_0(56))=k4_xcmplx_0(54)).
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_r1_rm112, axiom, k6_xcmplx_0(k4_xcmplx_0(111), 1)=k4_xcmplx_0(112)).
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_rm112_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(111), k4_xcmplx_0(112))=1).
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_rm56_rm55, axiom, k6_xcmplx_0(k4_xcmplx_0(111), k4_xcmplx_0(56))=k4_xcmplx_0(55)).
fof(rqRealDiff__k6_xcmplx_0__rm112_r0_rm112, axiom, k6_xcmplx_0(k4_xcmplx_0(112), 0)=k4_xcmplx_0(112)).
fof(rqRealDiff__k6_xcmplx_0__rm112_rm110_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(112), k4_xcmplx_0(110))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm112_rm111_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(112), k4_xcmplx_0(111))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm112_rm112_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(112), k4_xcmplx_0(112))=0).
fof(rqRealDiff__k6_xcmplx_0__rm112_rm1_rm111, axiom, k6_xcmplx_0(k4_xcmplx_0(112), k4_xcmplx_0(1))=k4_xcmplx_0(111)).
fof(rqRealDiff__k6_xcmplx_0__rm112_rm56_rm56, axiom, k6_xcmplx_0(k4_xcmplx_0(112), k4_xcmplx_0(56))=k4_xcmplx_0(56)).
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_r111_rm112, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 111)=k4_xcmplx_0(112)).
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_r54_rm55, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 54)=k4_xcmplx_0(55)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r55_rm56, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 55)=k4_xcmplx_0(56)).
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_rm112_r111, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(112))=111).
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_rm2_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=1).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm55_r54, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(55))=54).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm56_r55, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(56))=55).
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__rm2_r0_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r54_rm56, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 54)=k4_xcmplx_0(56)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm112_r110, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(112))=110).
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_rm2_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=0).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm56_r54, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(56))=54).
fof(rqRealDiff__k6_xcmplx_0__rm54_r0_rm54, axiom, k6_xcmplx_0(k4_xcmplx_0(54), 0)=k4_xcmplx_0(54)).
fof(rqRealDiff__k6_xcmplx_0__rm54_r1_rm55, axiom, k6_xcmplx_0(k4_xcmplx_0(54), 1)=k4_xcmplx_0(55)).
fof(rqRealDiff__k6_xcmplx_0__rm54_r2_rm56, axiom, k6_xcmplx_0(k4_xcmplx_0(54), 2)=k4_xcmplx_0(56)).
fof(rqRealDiff__k6_xcmplx_0__rm54_r56_rm110, axiom, k6_xcmplx_0(k4_xcmplx_0(54), 56)=k4_xcmplx_0(110)).
fof(rqRealDiff__k6_xcmplx_0__rm54_rm54_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(54), k4_xcmplx_0(54))=0).
fof(rqRealDiff__k6_xcmplx_0__rm55_r1_rm56, axiom, k6_xcmplx_0(k4_xcmplx_0(55), 1)=k4_xcmplx_0(56)).
fof(rqRealDiff__k6_xcmplx_0__rm55_rm1_rm54, axiom, k6_xcmplx_0(k4_xcmplx_0(55), k4_xcmplx_0(1))=k4_xcmplx_0(54)).
fof(rqRealDiff__k6_xcmplx_0__rm55_rm54_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(55), k4_xcmplx_0(54))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm55_rm55_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(55), k4_xcmplx_0(55))=0).
fof(rqRealDiff__k6_xcmplx_0__rm55_rm56_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(55), k4_xcmplx_0(56))=1).
fof(rqRealDiff__k6_xcmplx_0__rm56_r0_rm56, axiom, k6_xcmplx_0(k4_xcmplx_0(56), 0)=k4_xcmplx_0(56)).
fof(rqRealDiff__k6_xcmplx_0__rm56_r55_rm111, axiom, k6_xcmplx_0(k4_xcmplx_0(56), 55)=k4_xcmplx_0(111)).
fof(rqRealDiff__k6_xcmplx_0__rm56_r56_rm112, axiom, k6_xcmplx_0(k4_xcmplx_0(56), 56)=k4_xcmplx_0(112)).
fof(rqRealDiff__k6_xcmplx_0__rm56_rm112_r56, axiom, k6_xcmplx_0(k4_xcmplx_0(56), k4_xcmplx_0(112))=56).
fof(rqRealDiff__k6_xcmplx_0__rm56_rm1_rm55, axiom, k6_xcmplx_0(k4_xcmplx_0(56), k4_xcmplx_0(1))=k4_xcmplx_0(55)).
fof(rqRealDiff__k6_xcmplx_0__rm56_rm54_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(56), k4_xcmplx_0(54))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm56_rm56_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(56), k4_xcmplx_0(56))=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__rn55d2_rn55d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(55, 2), k7_xcmplx_0(55, 2))=0).
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(rqRealDiff__k6_xcmplx_0__rnm55d2_rnm55d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(55), 2), k7_xcmplx_0(k4_xcmplx_0(55), 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_r54_rn1d54, axiom, k7_xcmplx_0(1, 54)=k7_xcmplx_0(1, 54)).
fof(rqRealDiv__k7_xcmplx_0__r1_r56_rn1d56, axiom, k7_xcmplx_0(1, 56)=k7_xcmplx_0(1, 56)).
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__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__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__r112_r1_r112, axiom, k3_xcmplx_0(112, 1)=112).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
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_r112_r112, axiom, k3_xcmplx_0(1, 112)=112).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_r54_r54, axiom, k3_xcmplx_0(1, 54)=54).
fof(rqRealMult__k3_xcmplx_0__r1_r55_r55, axiom, k3_xcmplx_0(1, 55)=55).
fof(rqRealMult__k3_xcmplx_0__r1_r56_r56, axiom, k3_xcmplx_0(1, 56)=56).
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_rm56_rm56, axiom, k3_xcmplx_0(1, k4_xcmplx_0(56))=k4_xcmplx_0(56)).
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_rn1d54_rn1d54, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 54))=k7_xcmplx_0(1, 54)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d56_rn1d56, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 56))=k7_xcmplx_0(1, 56)).
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__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_r55_r110, axiom, k3_xcmplx_0(2, 55)=110).
fof(rqRealMult__k3_xcmplx_0__r2_r56_r112, axiom, k3_xcmplx_0(2, 56)=112).
fof(rqRealMult__k3_xcmplx_0__r2_rm55_rm110, axiom, k3_xcmplx_0(2, k4_xcmplx_0(55))=k4_xcmplx_0(110)).
fof(rqRealMult__k3_xcmplx_0__r2_rm56_rm112, axiom, k3_xcmplx_0(2, k4_xcmplx_0(56))=k4_xcmplx_0(112)).
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__r54_r1_r54, axiom, k3_xcmplx_0(54, 1)=54).
fof(rqRealMult__k3_xcmplx_0__r55_r1_r55, axiom, k3_xcmplx_0(55, 1)=55).
fof(rqRealMult__k3_xcmplx_0__r55_r2_r110, axiom, k3_xcmplx_0(55, 2)=110).
fof(rqRealMult__k3_xcmplx_0__r56_r1_r56, axiom, k3_xcmplx_0(56, 1)=56).
fof(rqRealMult__k3_xcmplx_0__r56_r2_r112, axiom, k3_xcmplx_0(56, 2)=112).
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_rm55_r110, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(55))=110).
fof(rqRealMult__k3_xcmplx_0__rm2_rm56_r112, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(56))=112).
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__rm54_r1_rm54, axiom, k3_xcmplx_0(k4_xcmplx_0(54), 1)=k4_xcmplx_0(54)).
fof(rqRealMult__k3_xcmplx_0__rm55_r1_rm55, axiom, k3_xcmplx_0(k4_xcmplx_0(55), 1)=k4_xcmplx_0(55)).
fof(rqRealMult__k3_xcmplx_0__rm56_r1_rm56, axiom, k3_xcmplx_0(k4_xcmplx_0(56), 1)=k4_xcmplx_0(56)).
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__rn1d54_r1_rn1d54, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 54), 1)=k7_xcmplx_0(1, 54)).
fof(rqRealMult__k3_xcmplx_0__rn1d54_rm54_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 54), k4_xcmplx_0(54))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn1d56_r1_rn1d56, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 56), 1)=k7_xcmplx_0(1, 56)).
fof(rqRealMult__k3_xcmplx_0__rn55d2_r1_rn55d2, axiom, k3_xcmplx_0(k7_xcmplx_0(55, 2), 1)=k7_xcmplx_0(55, 2)).
fof(rqRealMult__k3_xcmplx_0__rn55d2_r2_r55, axiom, k3_xcmplx_0(k7_xcmplx_0(55, 2), 2)=55).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r110_rm55, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 110)=k4_xcmplx_0(55)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r112_rm56, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 112)=k4_xcmplx_0(56)).
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_rm2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(2))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d54_r1_rnm1d54, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 54), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 54)).
fof(rqRealMult__k3_xcmplx_0__rnm55d2_r1_rnm55d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(55), 2), 1)=k7_xcmplx_0(k4_xcmplx_0(55), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm55d2_r2_rm55, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(55), 2), 2)=k4_xcmplx_0(55)).
fof(rqRealMult__k3_xcmplx_0__rnm55d2_rm2_r55, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(55), 2), k4_xcmplx_0(2))=55).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
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__r112_rm112, axiom, k4_xcmplx_0(112)=k4_xcmplx_0(112)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__r54_rm54, axiom, k4_xcmplx_0(54)=k4_xcmplx_0(54)).
fof(rqRealNeg__k4_xcmplx_0__r55_rm55, axiom, k4_xcmplx_0(55)=k4_xcmplx_0(55)).
fof(rqRealNeg__k4_xcmplx_0__r56_rm56, axiom, k4_xcmplx_0(56)=k4_xcmplx_0(56)).
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__rm112_r112, axiom, k4_xcmplx_0(k4_xcmplx_0(112))=112).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
fof(rqRealNeg__k4_xcmplx_0__rm54_r54, axiom, k4_xcmplx_0(k4_xcmplx_0(54))=54).
fof(rqRealNeg__k4_xcmplx_0__rm55_r55, axiom, k4_xcmplx_0(k4_xcmplx_0(55))=55).
fof(rqRealNeg__k4_xcmplx_0__rm56_r56, axiom, k4_xcmplx_0(k4_xcmplx_0(56))=56).
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__rn1d54_rnm1d54, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 54))=k7_xcmplx_0(k4_xcmplx_0(1), 54)).
fof(rqRealNeg__k4_xcmplx_0__rn55d2_rnm55d2, axiom, k4_xcmplx_0(k7_xcmplx_0(55, 2))=k7_xcmplx_0(k4_xcmplx_0(55), 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(rqRealNeg__k4_xcmplx_0__rnm55d2_rn55d2, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(55), 2))=k7_xcmplx_0(55, 2)).
fof(spc0_numerals, axiom, m1_subset_1(0, 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(spc112_numerals, axiom,  (v2_xxreal_0(112) & m1_subset_1(112, 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(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(spc54_numerals, axiom,  (v2_xxreal_0(54) & m1_subset_1(54, k4_ordinal1)) ).
fof(spc55_numerals, axiom,  (v2_xxreal_0(55) & m1_subset_1(55, k4_ordinal1)) ).
fof(spc56_numerals, axiom,  (v2_xxreal_0(56) & m1_subset_1(56, 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) ) ).
