% Mizar problem: t1169_xprimes0,xprimes0,8213,7 
fof(t1169_xprimes0, conjecture,  ~ (v1_int_2(1169)) ).
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_r160_rm160, axiom, k6_xcmplx_0(0, 160)=k4_xcmplx_0(160)).
fof(rqRealDiff__k6_xcmplx_0__r0_r166_rm166, axiom, k6_xcmplx_0(0, 166)=k4_xcmplx_0(166)).
fof(rqRealDiff__k6_xcmplx_0__r0_r167_rm167, axiom, k6_xcmplx_0(0, 167)=k4_xcmplx_0(167)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r6_rm6, axiom, k6_xcmplx_0(0, 6)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__r0_r7_rm7, axiom, k6_xcmplx_0(0, 7)=k4_xcmplx_0(7)).
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_rm7_r7, axiom, k6_xcmplx_0(0, k4_xcmplx_0(7))=7).
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_rn1d7_rnm1d7, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 7))=k7_xcmplx_0(k4_xcmplx_0(1), 7)).
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__r1169_r167_r1002, axiom, k6_xcmplx_0(1169, 167)=1002).
fof(rqRealDiff__k6_xcmplx_0__r1169_r1_r1168, axiom, k6_xcmplx_0(1169, 1)=1168).
fof(rqRealDiff__k6_xcmplx_0__r1169_r7_r1162, axiom, k6_xcmplx_0(1169, 7)=1162).
fof(rqRealDiff__k6_xcmplx_0__r160_r0_r160, axiom, k6_xcmplx_0(160, 0)=160).
fof(rqRealDiff__k6_xcmplx_0__r160_r160_r0, axiom, k6_xcmplx_0(160, 160)=0).
fof(rqRealDiff__k6_xcmplx_0__r166_r0_r166, axiom, k6_xcmplx_0(166, 0)=166).
fof(rqRealDiff__k6_xcmplx_0__r166_r166_r0, axiom, k6_xcmplx_0(166, 166)=0).
fof(rqRealDiff__k6_xcmplx_0__r167_r0_r167, axiom, k6_xcmplx_0(167, 0)=167).
fof(rqRealDiff__k6_xcmplx_0__r167_r166_r1, axiom, k6_xcmplx_0(167, 166)=1).
fof(rqRealDiff__k6_xcmplx_0__r167_r167_r0, axiom, k6_xcmplx_0(167, 167)=0).
fof(rqRealDiff__k6_xcmplx_0__r167_r1_r166, axiom, k6_xcmplx_0(167, 1)=166).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1169_rm1168, axiom, k6_xcmplx_0(1, 1169)=k4_xcmplx_0(1168)).
fof(rqRealDiff__k6_xcmplx_0__r1_r167_rm166, axiom, k6_xcmplx_0(1, 167)=k4_xcmplx_0(166)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r7_rm6, axiom, k6_xcmplx_0(1, 7)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm6_r7, axiom, k6_xcmplx_0(1, k4_xcmplx_0(6))=7).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d7_rn6d7, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 7))=k7_xcmplx_0(6, 7)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn6d7_rn1d7, axiom, k6_xcmplx_0(1, k7_xcmplx_0(6, 7))=k7_xcmplx_0(1, 7)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn7d6_rnm1d6, axiom, k6_xcmplx_0(1, k7_xcmplx_0(7, 6))=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d6_rn7d6, axiom, k6_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 6))=k7_xcmplx_0(7, 6)).
fof(rqRealDiff__k6_xcmplx_0__r6_r0_r6, axiom, k6_xcmplx_0(6, 0)=6).
fof(rqRealDiff__k6_xcmplx_0__r6_r1168_rm1162, axiom, k6_xcmplx_0(6, 1168)=k4_xcmplx_0(1162)).
fof(rqRealDiff__k6_xcmplx_0__r6_r6_r0, axiom, k6_xcmplx_0(6, 6)=0).
fof(rqRealDiff__k6_xcmplx_0__r6_r7_rm1, axiom, k6_xcmplx_0(6, 7)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r6_rm1_r7, axiom, k6_xcmplx_0(6, k4_xcmplx_0(1))=7).
fof(rqRealDiff__k6_xcmplx_0__r7_r0_r7, axiom, k6_xcmplx_0(7, 0)=7).
fof(rqRealDiff__k6_xcmplx_0__r7_r1169_rm1162, axiom, k6_xcmplx_0(7, 1169)=k4_xcmplx_0(1162)).
fof(rqRealDiff__k6_xcmplx_0__r7_r167_rm160, axiom, k6_xcmplx_0(7, 167)=k4_xcmplx_0(160)).
fof(rqRealDiff__k6_xcmplx_0__r7_r1_r6, axiom, k6_xcmplx_0(7, 1)=6).
fof(rqRealDiff__k6_xcmplx_0__r7_r6_r1, axiom, k6_xcmplx_0(7, 6)=1).
fof(rqRealDiff__k6_xcmplx_0__r7_r7_r0, axiom, k6_xcmplx_0(7, 7)=0).
fof(rqRealDiff__k6_xcmplx_0__rm1002_rm1002_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1002), k4_xcmplx_0(1002))=0).
fof(rqRealDiff__k6_xcmplx_0__rm160_r0_rm160, axiom, k6_xcmplx_0(k4_xcmplx_0(160), 0)=k4_xcmplx_0(160)).
fof(rqRealDiff__k6_xcmplx_0__rm160_r6_rm166, axiom, k6_xcmplx_0(k4_xcmplx_0(160), 6)=k4_xcmplx_0(166)).
fof(rqRealDiff__k6_xcmplx_0__rm160_r7_rm167, axiom, k6_xcmplx_0(k4_xcmplx_0(160), 7)=k4_xcmplx_0(167)).
fof(rqRealDiff__k6_xcmplx_0__rm160_rm160_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(160), k4_xcmplx_0(160))=0).
fof(rqRealDiff__k6_xcmplx_0__rm166_r0_rm166, axiom, k6_xcmplx_0(k4_xcmplx_0(166), 0)=k4_xcmplx_0(166)).
fof(rqRealDiff__k6_xcmplx_0__rm166_r1_rm167, axiom, k6_xcmplx_0(k4_xcmplx_0(166), 1)=k4_xcmplx_0(167)).
fof(rqRealDiff__k6_xcmplx_0__rm166_rm160_rm6, axiom, k6_xcmplx_0(k4_xcmplx_0(166), k4_xcmplx_0(160))=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__rm166_rm166_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(166), k4_xcmplx_0(166))=0).
fof(rqRealDiff__k6_xcmplx_0__rm167_r0_rm167, axiom, k6_xcmplx_0(k4_xcmplx_0(167), 0)=k4_xcmplx_0(167)).
fof(rqRealDiff__k6_xcmplx_0__rm167_rm166_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(167), k4_xcmplx_0(166))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm167_rm167_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(167), k4_xcmplx_0(167))=0).
fof(rqRealDiff__k6_xcmplx_0__rm167_rm1_rm166, axiom, k6_xcmplx_0(k4_xcmplx_0(167), k4_xcmplx_0(1))=k4_xcmplx_0(166)).
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_r6_rm7, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 6)=k4_xcmplx_0(7)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm167_r166, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(167))=166).
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_rm7_r6, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(7))=6).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d6_rnm7d6, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 6))=k7_xcmplx_0(k4_xcmplx_0(7), 6)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d7_rnm6d7, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 7))=k7_xcmplx_0(k4_xcmplx_0(6), 7)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm6d7_rnm1d7, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(6), 7))=k7_xcmplx_0(k4_xcmplx_0(1), 7)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm7d6_rn1d6, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(7), 6))=k7_xcmplx_0(1, 6)).
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_r1_rm7, axiom, k6_xcmplx_0(k4_xcmplx_0(6), 1)=k4_xcmplx_0(7)).
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_rm7_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(7))=1).
fof(rqRealDiff__k6_xcmplx_0__rm7_r0_rm7, axiom, k6_xcmplx_0(k4_xcmplx_0(7), 0)=k4_xcmplx_0(7)).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm1_rm6, axiom, k6_xcmplx_0(k4_xcmplx_0(7), k4_xcmplx_0(1))=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm6_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(7), k4_xcmplx_0(6))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm7_rm7_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(7), k4_xcmplx_0(7))=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_rm1_rn7d6, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 6), k4_xcmplx_0(1))=k7_xcmplx_0(7, 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__rn1d6_rn7d6_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 6), k7_xcmplx_0(7, 6))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_r0_rn1d7, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 7), 0)=k7_xcmplx_0(1, 7)).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_r1_rnm6d7, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 7), 1)=k7_xcmplx_0(k4_xcmplx_0(6), 7)).
fof(rqRealDiff__k6_xcmplx_0__rn1d7_rn1d7_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 7), k7_xcmplx_0(1, 7))=0).
fof(rqRealDiff__k6_xcmplx_0__rn6d7_r0_rn6d7, axiom, k6_xcmplx_0(k7_xcmplx_0(6, 7), 0)=k7_xcmplx_0(6, 7)).
fof(rqRealDiff__k6_xcmplx_0__rn6d7_r1_rnm1d7, axiom, k6_xcmplx_0(k7_xcmplx_0(6, 7), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 7)).
fof(rqRealDiff__k6_xcmplx_0__rn6d7_rn6d7_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(6, 7), k7_xcmplx_0(6, 7))=0).
fof(rqRealDiff__k6_xcmplx_0__rn7d6_r1_rn1d6, axiom, k6_xcmplx_0(k7_xcmplx_0(7, 6), 1)=k7_xcmplx_0(1, 6)).
fof(rqRealDiff__k6_xcmplx_0__rn7d6_rn7d6_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(7, 6), k7_xcmplx_0(7, 6))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_r1_rnm7d6, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), 1)=k7_xcmplx_0(k4_xcmplx_0(7), 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__rnm1d6_rnm7d6_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), k7_xcmplx_0(k4_xcmplx_0(7), 6))=1).
fof(rqRealDiff__k6_xcmplx_0__rnm1d7_rm1_rn6d7, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7), k4_xcmplx_0(1))=k7_xcmplx_0(6, 7)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d7_rnm1d7_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7), k7_xcmplx_0(k4_xcmplx_0(1), 7))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm6d7_rnm6d7_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6), 7), k7_xcmplx_0(k4_xcmplx_0(6), 7))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm7d6_rm1_rnm1d6, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7), 6), k4_xcmplx_0(1))=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealDiff__k6_xcmplx_0__rnm7d6_rnm1d6_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7), 6), k7_xcmplx_0(k4_xcmplx_0(1), 6))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm7d6_rnm7d6_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7), 6), k7_xcmplx_0(k4_xcmplx_0(7), 6))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
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_r7_rn1d7, axiom, k7_xcmplx_0(1, 7)=k7_xcmplx_0(1, 7)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm167_rnm1d167, axiom, k7_xcmplx_0(1, k4_xcmplx_0(167))=k7_xcmplx_0(k4_xcmplx_0(1), 167)).
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_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_rm7_rnm1d7, axiom, k7_xcmplx_0(1, k4_xcmplx_0(7))=k7_xcmplx_0(k4_xcmplx_0(1), 7)).
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_rn1d7_r7, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 7))=7).
fof(rqRealDiv__k7_xcmplx_0__r1_rn7d6_rn6d7, axiom, k7_xcmplx_0(1, k7_xcmplx_0(7, 6))=k7_xcmplx_0(6, 7)).
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__r1_rnm1d7_rm7, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 7))=k4_xcmplx_0(7)).
fof(rqRealDiv__k7_xcmplx_0__r6_r7_rn6d7, axiom, k7_xcmplx_0(6, 7)=k7_xcmplx_0(6, 7)).
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_r6_r0, axiom, k3_xcmplx_0(0, 6)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r7_r0, axiom, k3_xcmplx_0(0, 7)=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__r160_r1_r160, axiom, k3_xcmplx_0(160, 1)=160).
fof(rqRealMult__k3_xcmplx_0__r166_r1_r166, axiom, k3_xcmplx_0(166, 1)=166).
fof(rqRealMult__k3_xcmplx_0__r166_r7_r1162, axiom, k3_xcmplx_0(166, 7)=1162).
fof(rqRealMult__k3_xcmplx_0__r167_r1_r167, axiom, k3_xcmplx_0(167, 1)=167).
fof(rqRealMult__k3_xcmplx_0__r167_r7_r1169, axiom, k3_xcmplx_0(167, 7)=1169).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r1002_r1002, axiom, k3_xcmplx_0(1, 1002)=1002).
fof(rqRealMult__k3_xcmplx_0__r1_r160_r160, axiom, k3_xcmplx_0(1, 160)=160).
fof(rqRealMult__k3_xcmplx_0__r1_r166_r166, axiom, k3_xcmplx_0(1, 166)=166).
fof(rqRealMult__k3_xcmplx_0__r1_r167_r167, axiom, k3_xcmplx_0(1, 167)=167).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r6_r6, axiom, k3_xcmplx_0(1, 6)=6).
fof(rqRealMult__k3_xcmplx_0__r1_r7_r7, axiom, k3_xcmplx_0(1, 7)=7).
fof(rqRealMult__k3_xcmplx_0__r1_rm166_rm166, axiom, k3_xcmplx_0(1, k4_xcmplx_0(166))=k4_xcmplx_0(166)).
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_rm7_rm7, axiom, k3_xcmplx_0(1, k4_xcmplx_0(7))=k4_xcmplx_0(7)).
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__r1_rn1d7_rn1d7, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 7))=k7_xcmplx_0(1, 7)).
fof(rqRealMult__k3_xcmplx_0__r1_rn7d6_rn7d6, axiom, k3_xcmplx_0(1, k7_xcmplx_0(7, 6))=k7_xcmplx_0(7, 6)).
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_rm167_rm1002, axiom, k3_xcmplx_0(6, k4_xcmplx_0(167))=k4_xcmplx_0(1002)).
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_rn1d7_rn6d7, axiom, k3_xcmplx_0(6, k7_xcmplx_0(1, 7))=k7_xcmplx_0(6, 7)).
fof(rqRealMult__k3_xcmplx_0__r6_rn7d6_r7, axiom, k3_xcmplx_0(6, k7_xcmplx_0(7, 6))=7).
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__r6_rnm1d7_rnm6d7, axiom, k3_xcmplx_0(6, k7_xcmplx_0(k4_xcmplx_0(1), 7))=k7_xcmplx_0(k4_xcmplx_0(6), 7)).
fof(rqRealMult__k3_xcmplx_0__r7_r0_r0, axiom, k3_xcmplx_0(7, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r7_r166_r1162, axiom, k3_xcmplx_0(7, 166)=1162).
fof(rqRealMult__k3_xcmplx_0__r7_r167_r1169, axiom, k3_xcmplx_0(7, 167)=1169).
fof(rqRealMult__k3_xcmplx_0__r7_r1_r7, axiom, k3_xcmplx_0(7, 1)=7).
fof(rqRealMult__k3_xcmplx_0__r7_rn1d6_rn7d6, axiom, k3_xcmplx_0(7, k7_xcmplx_0(1, 6))=k7_xcmplx_0(7, 6)).
fof(rqRealMult__k3_xcmplx_0__r7_rn1d7_r1, axiom, k3_xcmplx_0(7, k7_xcmplx_0(1, 7))=1).
fof(rqRealMult__k3_xcmplx_0__r7_rn6d7_r6, axiom, k3_xcmplx_0(7, k7_xcmplx_0(6, 7))=6).
fof(rqRealMult__k3_xcmplx_0__r7_rnm1d6_rnm7d6, axiom, k3_xcmplx_0(7, k7_xcmplx_0(k4_xcmplx_0(1), 6))=k7_xcmplx_0(k4_xcmplx_0(7), 6)).
fof(rqRealMult__k3_xcmplx_0__r7_rnm1d7_rm1, axiom, k3_xcmplx_0(7, k7_xcmplx_0(k4_xcmplx_0(1), 7))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r7_rnm6d7_rm6, axiom, k3_xcmplx_0(7, k7_xcmplx_0(k4_xcmplx_0(6), 7))=k4_xcmplx_0(6)).
fof(rqRealMult__k3_xcmplx_0__rm160_r1_rm160, axiom, k3_xcmplx_0(k4_xcmplx_0(160), 1)=k4_xcmplx_0(160)).
fof(rqRealMult__k3_xcmplx_0__rm166_r1_rm166, axiom, k3_xcmplx_0(k4_xcmplx_0(166), 1)=k4_xcmplx_0(166)).
fof(rqRealMult__k3_xcmplx_0__rm167_r1_rm167, axiom, k3_xcmplx_0(k4_xcmplx_0(167), 1)=k4_xcmplx_0(167)).
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_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_rn7d6_rm7, axiom, k3_xcmplx_0(k4_xcmplx_0(6), k7_xcmplx_0(7, 6))=k4_xcmplx_0(7)).
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__rm6_rnm1d7_rn6d7, axiom, k3_xcmplx_0(k4_xcmplx_0(6), k7_xcmplx_0(k4_xcmplx_0(1), 7))=k7_xcmplx_0(6, 7)).
fof(rqRealMult__k3_xcmplx_0__rm7_r1_rm7, axiom, k3_xcmplx_0(k4_xcmplx_0(7), 1)=k4_xcmplx_0(7)).
fof(rqRealMult__k3_xcmplx_0__rm7_rm167_r1169, axiom, k3_xcmplx_0(k4_xcmplx_0(7), k4_xcmplx_0(167))=1169).
fof(rqRealMult__k3_xcmplx_0__rm7_rn1d6_rnm7d6, axiom, k3_xcmplx_0(k4_xcmplx_0(7), k7_xcmplx_0(1, 6))=k7_xcmplx_0(k4_xcmplx_0(7), 6)).
fof(rqRealMult__k3_xcmplx_0__rm7_rn1d7_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(7), k7_xcmplx_0(1, 7))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm7_rn6d7_rm6, axiom, k3_xcmplx_0(k4_xcmplx_0(7), k7_xcmplx_0(6, 7))=k4_xcmplx_0(6)).
fof(rqRealMult__k3_xcmplx_0__rm7_rnm1d6_rn7d6, axiom, k3_xcmplx_0(k4_xcmplx_0(7), k7_xcmplx_0(k4_xcmplx_0(1), 6))=k7_xcmplx_0(7, 6)).
fof(rqRealMult__k3_xcmplx_0__rm7_rnm1d7_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(7), k7_xcmplx_0(k4_xcmplx_0(1), 7))=1).
fof(rqRealMult__k3_xcmplx_0__rm7_rnm6d7_r6, axiom, k3_xcmplx_0(k4_xcmplx_0(7), k7_xcmplx_0(k4_xcmplx_0(6), 7))=6).
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_r7_rn7d6, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 6), 7)=k7_xcmplx_0(7, 6)).
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__rn1d7_r1_rn1d7, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 7), 1)=k7_xcmplx_0(1, 7)).
fof(rqRealMult__k3_xcmplx_0__rn1d7_r6_rn6d7, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 7), 6)=k7_xcmplx_0(6, 7)).
fof(rqRealMult__k3_xcmplx_0__rn1d7_r7_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 7), 7)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d7_rm7_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 7), k4_xcmplx_0(7))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn6d7_r1_rn6d7, axiom, k3_xcmplx_0(k7_xcmplx_0(6, 7), 1)=k7_xcmplx_0(6, 7)).
fof(rqRealMult__k3_xcmplx_0__rn6d7_rn7d6_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(6, 7), k7_xcmplx_0(7, 6))=1).
fof(rqRealMult__k3_xcmplx_0__rn7d6_r1_rn7d6, axiom, k3_xcmplx_0(k7_xcmplx_0(7, 6), 1)=k7_xcmplx_0(7, 6)).
fof(rqRealMult__k3_xcmplx_0__rn7d6_r6_r7, axiom, k3_xcmplx_0(k7_xcmplx_0(7, 6), 6)=7).
fof(rqRealMult__k3_xcmplx_0__rn7d6_rn6d7_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(7, 6), k7_xcmplx_0(6, 7))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d167_rm167_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 167), k4_xcmplx_0(167))=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_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_r7_rnm7d6, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), 7)=k7_xcmplx_0(k4_xcmplx_0(7), 6)).
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__rnm1d6_rm7_rn7d6, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), k4_xcmplx_0(7))=k7_xcmplx_0(7, 6)).
fof(rqRealMult__k3_xcmplx_0__rnm1d7_r1169_rm167, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7), 1169)=k4_xcmplx_0(167)).
fof(rqRealMult__k3_xcmplx_0__rnm1d7_r1_rnm1d7, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 7)).
fof(rqRealMult__k3_xcmplx_0__rnm1d7_r6_rnm6d7, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7), 6)=k7_xcmplx_0(k4_xcmplx_0(6), 7)).
fof(rqRealMult__k3_xcmplx_0__rnm1d7_r7_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7), 7)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d7_rm6_rn6d7, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7), k4_xcmplx_0(6))=k7_xcmplx_0(6, 7)).
fof(rqRealMult__k3_xcmplx_0__rnm1d7_rm7_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7), k4_xcmplx_0(7))=1).
fof(rqRealMult__k3_xcmplx_0__rnm6d7_r1_rnm6d7, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6), 7), 1)=k7_xcmplx_0(k4_xcmplx_0(6), 7)).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r1002_rm1002, axiom, k4_xcmplx_0(1002)=k4_xcmplx_0(1002)).
fof(rqRealNeg__k4_xcmplx_0__r1168_rm1168, axiom, k4_xcmplx_0(1168)=k4_xcmplx_0(1168)).
fof(rqRealNeg__k4_xcmplx_0__r160_rm160, axiom, k4_xcmplx_0(160)=k4_xcmplx_0(160)).
fof(rqRealNeg__k4_xcmplx_0__r166_rm166, axiom, k4_xcmplx_0(166)=k4_xcmplx_0(166)).
fof(rqRealNeg__k4_xcmplx_0__r167_rm167, axiom, k4_xcmplx_0(167)=k4_xcmplx_0(167)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r6_rm6, axiom, k4_xcmplx_0(6)=k4_xcmplx_0(6)).
fof(rqRealNeg__k4_xcmplx_0__r7_rm7, axiom, k4_xcmplx_0(7)=k4_xcmplx_0(7)).
fof(rqRealNeg__k4_xcmplx_0__rm1002_r1002, axiom, k4_xcmplx_0(k4_xcmplx_0(1002))=1002).
fof(rqRealNeg__k4_xcmplx_0__rm1162_r1162, axiom, k4_xcmplx_0(k4_xcmplx_0(1162))=1162).
fof(rqRealNeg__k4_xcmplx_0__rm1168_r1168, axiom, k4_xcmplx_0(k4_xcmplx_0(1168))=1168).
fof(rqRealNeg__k4_xcmplx_0__rm160_r160, axiom, k4_xcmplx_0(k4_xcmplx_0(160))=160).
fof(rqRealNeg__k4_xcmplx_0__rm166_r166, axiom, k4_xcmplx_0(k4_xcmplx_0(166))=166).
fof(rqRealNeg__k4_xcmplx_0__rm167_r167, axiom, k4_xcmplx_0(k4_xcmplx_0(167))=167).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm6_r6, axiom, k4_xcmplx_0(k4_xcmplx_0(6))=6).
fof(rqRealNeg__k4_xcmplx_0__rm7_r7, axiom, k4_xcmplx_0(k4_xcmplx_0(7))=7).
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__rn1d7_rnm1d7, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 7))=k7_xcmplx_0(k4_xcmplx_0(1), 7)).
fof(rqRealNeg__k4_xcmplx_0__rn6d7_rnm6d7, axiom, k4_xcmplx_0(k7_xcmplx_0(6, 7))=k7_xcmplx_0(k4_xcmplx_0(6), 7)).
fof(rqRealNeg__k4_xcmplx_0__rn7d6_rnm7d6, axiom, k4_xcmplx_0(k7_xcmplx_0(7, 6))=k7_xcmplx_0(k4_xcmplx_0(7), 6)).
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__rnm1d7_rn1d7, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7))=k7_xcmplx_0(1, 7)).
fof(rqRealNeg__k4_xcmplx_0__rnm6d7_rn6d7, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6), 7))=k7_xcmplx_0(6, 7)).
fof(rqRealNeg__k4_xcmplx_0__rnm7d6_rn7d6, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(7), 6))=k7_xcmplx_0(7, 6)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc1002_numerals, axiom,  (v2_xxreal_0(1002) & m1_subset_1(1002, k4_ordinal1)) ).
fof(spc1162_numerals, axiom,  (v2_xxreal_0(1162) & m1_subset_1(1162, k4_ordinal1)) ).
fof(spc1168_numerals, axiom,  (v2_xxreal_0(1168) & m1_subset_1(1168, k4_ordinal1)) ).
fof(spc1169_numerals, axiom,  (v2_xxreal_0(1169) & m1_subset_1(1169, k4_ordinal1)) ).
fof(spc160_numerals, axiom,  (v2_xxreal_0(160) & m1_subset_1(160, k4_ordinal1)) ).
fof(spc166_numerals, axiom,  (v2_xxreal_0(166) & m1_subset_1(166, k4_ordinal1)) ).
fof(spc167_numerals, axiom,  (v2_xxreal_0(167) & m1_subset_1(167, 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(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(spc7_numerals, axiom,  (v2_xxreal_0(7) & m1_subset_1(7, k4_ordinal1)) ).
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) ) ).
