% Mizar problem: t126_xprimes0,xprimes0,841,7 
fof(t126_xprimes0, conjecture,  ~ (v1_int_2(126)) ).
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_r124_rm124, axiom, k6_xcmplx_0(0, 124)=k4_xcmplx_0(124)).
fof(rqRealDiff__k6_xcmplx_0__r0_r125_rm125, axiom, k6_xcmplx_0(0, 125)=k4_xcmplx_0(125)).
fof(rqRealDiff__k6_xcmplx_0__r0_r126_rm126, axiom, k6_xcmplx_0(0, 126)=k4_xcmplx_0(126)).
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_r61_rm61, axiom, k6_xcmplx_0(0, 61)=k4_xcmplx_0(61)).
fof(rqRealDiff__k6_xcmplx_0__r0_r62_rm62, axiom, k6_xcmplx_0(0, 62)=k4_xcmplx_0(62)).
fof(rqRealDiff__k6_xcmplx_0__r0_r63_rm63, axiom, k6_xcmplx_0(0, 63)=k4_xcmplx_0(63)).
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__r124_r0_r124, axiom, k6_xcmplx_0(124, 0)=124).
fof(rqRealDiff__k6_xcmplx_0__r124_r125_rm1, axiom, k6_xcmplx_0(124, 125)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r124_r61_r63, axiom, k6_xcmplx_0(124, 61)=63).
fof(rqRealDiff__k6_xcmplx_0__r124_r62_r62, axiom, k6_xcmplx_0(124, 62)=62).
fof(rqRealDiff__k6_xcmplx_0__r124_r63_r61, axiom, k6_xcmplx_0(124, 63)=61).
fof(rqRealDiff__k6_xcmplx_0__r125_r0_r125, axiom, k6_xcmplx_0(125, 0)=125).
fof(rqRealDiff__k6_xcmplx_0__r125_r124_r1, axiom, k6_xcmplx_0(125, 124)=1).
fof(rqRealDiff__k6_xcmplx_0__r125_r1_r124, axiom, k6_xcmplx_0(125, 1)=124).
fof(rqRealDiff__k6_xcmplx_0__r125_r62_r63, axiom, k6_xcmplx_0(125, 62)=63).
fof(rqRealDiff__k6_xcmplx_0__r125_r63_r62, axiom, k6_xcmplx_0(125, 63)=62).
fof(rqRealDiff__k6_xcmplx_0__r126_r0_r126, axiom, k6_xcmplx_0(126, 0)=126).
fof(rqRealDiff__k6_xcmplx_0__r126_r124_r2, axiom, k6_xcmplx_0(126, 124)=2).
fof(rqRealDiff__k6_xcmplx_0__r126_r126_r0, axiom, k6_xcmplx_0(126, 126)=0).
fof(rqRealDiff__k6_xcmplx_0__r126_r1_r125, axiom, k6_xcmplx_0(126, 1)=125).
fof(rqRealDiff__k6_xcmplx_0__r126_r2_r124, axiom, k6_xcmplx_0(126, 2)=124).
fof(rqRealDiff__k6_xcmplx_0__r126_r63_r63, axiom, k6_xcmplx_0(126, 63)=63).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r125_rm124, axiom, k6_xcmplx_0(1, 125)=k4_xcmplx_0(124)).
fof(rqRealDiff__k6_xcmplx_0__r1_r126_rm125, axiom, k6_xcmplx_0(1, 126)=k4_xcmplx_0(125)).
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_r62_rm61, axiom, k6_xcmplx_0(1, 62)=k4_xcmplx_0(61)).
fof(rqRealDiff__k6_xcmplx_0__r1_r63_rm62, axiom, k6_xcmplx_0(1, 63)=k4_xcmplx_0(62)).
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__r2_r0_r2, axiom, k6_xcmplx_0(2, 0)=2).
fof(rqRealDiff__k6_xcmplx_0__r2_r126_rm124, axiom, k6_xcmplx_0(2, 126)=k4_xcmplx_0(124)).
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_r63_rm61, axiom, k6_xcmplx_0(2, 63)=k4_xcmplx_0(61)).
fof(rqRealDiff__k6_xcmplx_0__r61_r0_r61, axiom, k6_xcmplx_0(61, 0)=61).
fof(rqRealDiff__k6_xcmplx_0__r61_r124_rm63, axiom, k6_xcmplx_0(61, 124)=k4_xcmplx_0(63)).
fof(rqRealDiff__k6_xcmplx_0__r61_r61_r0, axiom, k6_xcmplx_0(61, 61)=0).
fof(rqRealDiff__k6_xcmplx_0__r61_r63_rm2, axiom, k6_xcmplx_0(61, 63)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r61_rm1_r62, axiom, k6_xcmplx_0(61, k4_xcmplx_0(1))=62).
fof(rqRealDiff__k6_xcmplx_0__r61_rm2_r63, axiom, k6_xcmplx_0(61, k4_xcmplx_0(2))=63).
fof(rqRealDiff__k6_xcmplx_0__r62_r0_r62, axiom, k6_xcmplx_0(62, 0)=62).
fof(rqRealDiff__k6_xcmplx_0__r62_r125_rm63, axiom, k6_xcmplx_0(62, 125)=k4_xcmplx_0(63)).
fof(rqRealDiff__k6_xcmplx_0__r62_r1_r61, axiom, k6_xcmplx_0(62, 1)=61).
fof(rqRealDiff__k6_xcmplx_0__r62_r62_r0, axiom, k6_xcmplx_0(62, 62)=0).
fof(rqRealDiff__k6_xcmplx_0__r62_rm1_r63, axiom, k6_xcmplx_0(62, k4_xcmplx_0(1))=63).
fof(rqRealDiff__k6_xcmplx_0__r62_rm62_r124, axiom, k6_xcmplx_0(62, k4_xcmplx_0(62))=124).
fof(rqRealDiff__k6_xcmplx_0__r63_r0_r63, axiom, k6_xcmplx_0(63, 0)=63).
fof(rqRealDiff__k6_xcmplx_0__r63_r1_r62, axiom, k6_xcmplx_0(63, 1)=62).
fof(rqRealDiff__k6_xcmplx_0__r63_r2_r61, axiom, k6_xcmplx_0(63, 2)=61).
fof(rqRealDiff__k6_xcmplx_0__r63_r63_r0, axiom, k6_xcmplx_0(63, 63)=0).
fof(rqRealDiff__k6_xcmplx_0__r63_rm63_r126, axiom, k6_xcmplx_0(63, k4_xcmplx_0(63))=126).
fof(rqRealDiff__k6_xcmplx_0__rm124_r0_rm124, axiom, k6_xcmplx_0(k4_xcmplx_0(124), 0)=k4_xcmplx_0(124)).
fof(rqRealDiff__k6_xcmplx_0__rm124_r1_rm125, axiom, k6_xcmplx_0(k4_xcmplx_0(124), 1)=k4_xcmplx_0(125)).
fof(rqRealDiff__k6_xcmplx_0__rm124_r2_rm126, axiom, k6_xcmplx_0(k4_xcmplx_0(124), 2)=k4_xcmplx_0(126)).
fof(rqRealDiff__k6_xcmplx_0__rm124_rm124_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(124), k4_xcmplx_0(124))=0).
fof(rqRealDiff__k6_xcmplx_0__rm125_r0_rm125, axiom, k6_xcmplx_0(k4_xcmplx_0(125), 0)=k4_xcmplx_0(125)).
fof(rqRealDiff__k6_xcmplx_0__rm125_r1_rm126, axiom, k6_xcmplx_0(k4_xcmplx_0(125), 1)=k4_xcmplx_0(126)).
fof(rqRealDiff__k6_xcmplx_0__rm125_rm124_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(125), k4_xcmplx_0(124))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm125_rm125_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(125), k4_xcmplx_0(125))=0).
fof(rqRealDiff__k6_xcmplx_0__rm125_rm1_rm124, axiom, k6_xcmplx_0(k4_xcmplx_0(125), k4_xcmplx_0(1))=k4_xcmplx_0(124)).
fof(rqRealDiff__k6_xcmplx_0__rm126_r0_rm126, axiom, k6_xcmplx_0(k4_xcmplx_0(126), 0)=k4_xcmplx_0(126)).
fof(rqRealDiff__k6_xcmplx_0__rm126_rm124_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(126), k4_xcmplx_0(124))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm126_rm125_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(126), k4_xcmplx_0(125))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm126_rm126_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(126), k4_xcmplx_0(126))=0).
fof(rqRealDiff__k6_xcmplx_0__rm126_rm1_rm125, axiom, k6_xcmplx_0(k4_xcmplx_0(126), k4_xcmplx_0(1))=k4_xcmplx_0(125)).
fof(rqRealDiff__k6_xcmplx_0__rm126_rm2_rm124, axiom, k6_xcmplx_0(k4_xcmplx_0(126), k4_xcmplx_0(2))=k4_xcmplx_0(124)).
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_r61_rm62, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 61)=k4_xcmplx_0(62)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm125_r124, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(125))=124).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm126_r125, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(126))=125).
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_rm62_r61, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(62))=61).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm63_r62, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(63))=62).
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_r124_rm126, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 124)=k4_xcmplx_0(126)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r61_rm63, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 61)=k4_xcmplx_0(63)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm126_r124, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(126))=124).
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_rm63_r61, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(63))=61).
fof(rqRealDiff__k6_xcmplx_0__rm61_r1_rm62, axiom, k6_xcmplx_0(k4_xcmplx_0(61), 1)=k4_xcmplx_0(62)).
fof(rqRealDiff__k6_xcmplx_0__rm61_r2_rm63, axiom, k6_xcmplx_0(k4_xcmplx_0(61), 2)=k4_xcmplx_0(63)).
fof(rqRealDiff__k6_xcmplx_0__rm61_rm124_r63, axiom, k6_xcmplx_0(k4_xcmplx_0(61), k4_xcmplx_0(124))=63).
fof(rqRealDiff__k6_xcmplx_0__rm61_rm61_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(61), k4_xcmplx_0(61))=0).
fof(rqRealDiff__k6_xcmplx_0__rm62_r1_rm63, axiom, k6_xcmplx_0(k4_xcmplx_0(62), 1)=k4_xcmplx_0(63)).
fof(rqRealDiff__k6_xcmplx_0__rm62_r62_rm124, axiom, k6_xcmplx_0(k4_xcmplx_0(62), 62)=k4_xcmplx_0(124)).
fof(rqRealDiff__k6_xcmplx_0__rm62_rm124_r62, axiom, k6_xcmplx_0(k4_xcmplx_0(62), k4_xcmplx_0(124))=62).
fof(rqRealDiff__k6_xcmplx_0__rm62_rm125_r63, axiom, k6_xcmplx_0(k4_xcmplx_0(62), k4_xcmplx_0(125))=63).
fof(rqRealDiff__k6_xcmplx_0__rm62_rm1_rm61, axiom, k6_xcmplx_0(k4_xcmplx_0(62), k4_xcmplx_0(1))=k4_xcmplx_0(61)).
fof(rqRealDiff__k6_xcmplx_0__rm62_rm62_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(62), k4_xcmplx_0(62))=0).
fof(rqRealDiff__k6_xcmplx_0__rm63_r63_rm126, axiom, k6_xcmplx_0(k4_xcmplx_0(63), 63)=k4_xcmplx_0(126)).
fof(rqRealDiff__k6_xcmplx_0__rm63_rm1_rm62, axiom, k6_xcmplx_0(k4_xcmplx_0(63), k4_xcmplx_0(1))=k4_xcmplx_0(62)).
fof(rqRealDiff__k6_xcmplx_0__rm63_rm2_rm61, axiom, k6_xcmplx_0(k4_xcmplx_0(63), k4_xcmplx_0(2))=k4_xcmplx_0(61)).
fof(rqRealDiff__k6_xcmplx_0__rm63_rm61_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(63), k4_xcmplx_0(61))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm63_rm62_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(63), k4_xcmplx_0(62))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm63_rm63_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(63), k4_xcmplx_0(63))=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_r61_rn1d61, axiom, k7_xcmplx_0(1, 61)=k7_xcmplx_0(1, 61)).
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_rm61_rnm1d61, axiom, k7_xcmplx_0(1, k4_xcmplx_0(61))=k7_xcmplx_0(k4_xcmplx_0(1), 61)).
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_r126_r0, axiom, k3_xcmplx_0(0, 126)=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__r124_r1_r124, axiom, k3_xcmplx_0(124, 1)=124).
fof(rqRealMult__k3_xcmplx_0__r125_r1_r125, axiom, k3_xcmplx_0(125, 1)=125).
fof(rqRealMult__k3_xcmplx_0__r126_r0_r0, axiom, k3_xcmplx_0(126, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r126_r1_r126, axiom, k3_xcmplx_0(126, 1)=126).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r124_r124, axiom, k3_xcmplx_0(1, 124)=124).
fof(rqRealMult__k3_xcmplx_0__r1_r125_r125, axiom, k3_xcmplx_0(1, 125)=125).
fof(rqRealMult__k3_xcmplx_0__r1_r126_r126, axiom, k3_xcmplx_0(1, 126)=126).
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_r61_r61, axiom, k3_xcmplx_0(1, 61)=61).
fof(rqRealMult__k3_xcmplx_0__r1_r62_r62, axiom, k3_xcmplx_0(1, 62)=62).
fof(rqRealMult__k3_xcmplx_0__r1_r63_r63, axiom, k3_xcmplx_0(1, 63)=63).
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__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_r62_r124, axiom, k3_xcmplx_0(2, 62)=124).
fof(rqRealMult__k3_xcmplx_0__r2_r63_r126, axiom, k3_xcmplx_0(2, 63)=126).
fof(rqRealMult__k3_xcmplx_0__r2_rm63_rm126, axiom, k3_xcmplx_0(2, k4_xcmplx_0(63))=k4_xcmplx_0(126)).
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__r61_r1_r61, axiom, k3_xcmplx_0(61, 1)=61).
fof(rqRealMult__k3_xcmplx_0__r62_r1_r62, axiom, k3_xcmplx_0(62, 1)=62).
fof(rqRealMult__k3_xcmplx_0__r62_r2_r124, axiom, k3_xcmplx_0(62, 2)=124).
fof(rqRealMult__k3_xcmplx_0__r63_r1_r63, axiom, k3_xcmplx_0(63, 1)=63).
fof(rqRealMult__k3_xcmplx_0__r63_r2_r126, axiom, k3_xcmplx_0(63, 2)=126).
fof(rqRealMult__k3_xcmplx_0__rm124_r1_rm124, axiom, k3_xcmplx_0(k4_xcmplx_0(124), 1)=k4_xcmplx_0(124)).
fof(rqRealMult__k3_xcmplx_0__rm126_r1_rm126, axiom, k3_xcmplx_0(k4_xcmplx_0(126), 1)=k4_xcmplx_0(126)).
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_rm62_r124, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(62))=124).
fof(rqRealMult__k3_xcmplx_0__rm2_rm63_r126, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(63))=126).
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__rm61_r1_rm61, axiom, k3_xcmplx_0(k4_xcmplx_0(61), 1)=k4_xcmplx_0(61)).
fof(rqRealMult__k3_xcmplx_0__rm62_r1_rm62, axiom, k3_xcmplx_0(k4_xcmplx_0(62), 1)=k4_xcmplx_0(62)).
fof(rqRealMult__k3_xcmplx_0__rm63_r1_rm63, axiom, k3_xcmplx_0(k4_xcmplx_0(63), 1)=k4_xcmplx_0(63)).
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__rn1d61_r61_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 61), 61)=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r124_rm62, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 124)=k4_xcmplx_0(62)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r126_rm63, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 126)=k4_xcmplx_0(63)).
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__rnm1d61_rm61_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 61), k4_xcmplx_0(61))=1).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r124_rm124, axiom, k4_xcmplx_0(124)=k4_xcmplx_0(124)).
fof(rqRealNeg__k4_xcmplx_0__r125_rm125, axiom, k4_xcmplx_0(125)=k4_xcmplx_0(125)).
fof(rqRealNeg__k4_xcmplx_0__r126_rm126, axiom, k4_xcmplx_0(126)=k4_xcmplx_0(126)).
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__r61_rm61, axiom, k4_xcmplx_0(61)=k4_xcmplx_0(61)).
fof(rqRealNeg__k4_xcmplx_0__r62_rm62, axiom, k4_xcmplx_0(62)=k4_xcmplx_0(62)).
fof(rqRealNeg__k4_xcmplx_0__r63_rm63, axiom, k4_xcmplx_0(63)=k4_xcmplx_0(63)).
fof(rqRealNeg__k4_xcmplx_0__rm124_r124, axiom, k4_xcmplx_0(k4_xcmplx_0(124))=124).
fof(rqRealNeg__k4_xcmplx_0__rm125_r125, axiom, k4_xcmplx_0(k4_xcmplx_0(125))=125).
fof(rqRealNeg__k4_xcmplx_0__rm126_r126, axiom, k4_xcmplx_0(k4_xcmplx_0(126))=126).
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__rm61_r61, axiom, k4_xcmplx_0(k4_xcmplx_0(61))=61).
fof(rqRealNeg__k4_xcmplx_0__rm62_r62, axiom, k4_xcmplx_0(k4_xcmplx_0(62))=62).
fof(rqRealNeg__k4_xcmplx_0__rm63_r63, axiom, k4_xcmplx_0(k4_xcmplx_0(63))=63).
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(spc124_numerals, axiom,  (v2_xxreal_0(124) & m1_subset_1(124, k4_ordinal1)) ).
fof(spc125_numerals, axiom,  (v2_xxreal_0(125) & m1_subset_1(125, k4_ordinal1)) ).
fof(spc126_numerals, axiom,  (v2_xxreal_0(126) & m1_subset_1(126, 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(spc61_numerals, axiom,  (v2_xxreal_0(61) & m1_subset_1(61, k4_ordinal1)) ).
fof(spc62_numerals, axiom,  (v2_xxreal_0(62) & m1_subset_1(62, k4_ordinal1)) ).
fof(spc63_numerals, axiom,  (v2_xxreal_0(63) & m1_subset_1(63, 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) ) ).
