% Mizar problem: t1963_xprimes0,xprimes0,13935,7 
fof(t1963_xprimes0, conjecture,  ~ (v1_int_2(1963)) ).
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_r12_rm12, axiom, k6_xcmplx_0(0, 12)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r0_r138_rm138, axiom, k6_xcmplx_0(0, 138)=k4_xcmplx_0(138)).
fof(rqRealDiff__k6_xcmplx_0__r0_r13_rm13, axiom, k6_xcmplx_0(0, 13)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__r0_r150_rm150, axiom, k6_xcmplx_0(0, 150)=k4_xcmplx_0(150)).
fof(rqRealDiff__k6_xcmplx_0__r0_r151_rm151, axiom, k6_xcmplx_0(0, 151)=k4_xcmplx_0(151)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d12_rnm1d12, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 12))=k7_xcmplx_0(k4_xcmplx_0(1), 12)).
fof(rqRealDiff__k6_xcmplx_0__r12_r0_r12, axiom, k6_xcmplx_0(12, 0)=12).
fof(rqRealDiff__k6_xcmplx_0__r12_r12_r0, axiom, k6_xcmplx_0(12, 12)=0).
fof(rqRealDiff__k6_xcmplx_0__r12_r13_rm1, axiom, k6_xcmplx_0(12, 13)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r12_rm1_r13, axiom, k6_xcmplx_0(12, k4_xcmplx_0(1))=13).
fof(rqRealDiff__k6_xcmplx_0__r138_r0_r138, axiom, k6_xcmplx_0(138, 0)=138).
fof(rqRealDiff__k6_xcmplx_0__r138_r138_r0, axiom, k6_xcmplx_0(138, 138)=0).
fof(rqRealDiff__k6_xcmplx_0__r13_r0_r13, axiom, k6_xcmplx_0(13, 0)=13).
fof(rqRealDiff__k6_xcmplx_0__r13_r12_r1, axiom, k6_xcmplx_0(13, 12)=1).
fof(rqRealDiff__k6_xcmplx_0__r13_r13_r0, axiom, k6_xcmplx_0(13, 13)=0).
fof(rqRealDiff__k6_xcmplx_0__r13_r151_rm138, axiom, k6_xcmplx_0(13, 151)=k4_xcmplx_0(138)).
fof(rqRealDiff__k6_xcmplx_0__r13_r1963_rm1950, axiom, k6_xcmplx_0(13, 1963)=k4_xcmplx_0(1950)).
fof(rqRealDiff__k6_xcmplx_0__r13_r1_r12, axiom, k6_xcmplx_0(13, 1)=12).
fof(rqRealDiff__k6_xcmplx_0__r150_r0_r150, axiom, k6_xcmplx_0(150, 0)=150).
fof(rqRealDiff__k6_xcmplx_0__r150_r150_r0, axiom, k6_xcmplx_0(150, 150)=0).
fof(rqRealDiff__k6_xcmplx_0__r151_r0_r151, axiom, k6_xcmplx_0(151, 0)=151).
fof(rqRealDiff__k6_xcmplx_0__r151_r13_r138, axiom, k6_xcmplx_0(151, 13)=138).
fof(rqRealDiff__k6_xcmplx_0__r151_r151_r0, axiom, k6_xcmplx_0(151, 151)=0).
fof(rqRealDiff__k6_xcmplx_0__r151_r1_r150, axiom, k6_xcmplx_0(151, 1)=150).
fof(rqRealDiff__k6_xcmplx_0__r1963_r13_r1950, axiom, k6_xcmplx_0(1963, 13)=1950).
fof(rqRealDiff__k6_xcmplx_0__r1963_r151_r1812, axiom, k6_xcmplx_0(1963, 151)=1812).
fof(rqRealDiff__k6_xcmplx_0__r1963_r1_r1962, axiom, k6_xcmplx_0(1963, 1)=1962).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r13_rm12, axiom, k6_xcmplx_0(1, 13)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r1_r151_rm150, axiom, k6_xcmplx_0(1, 151)=k4_xcmplx_0(150)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1963_rm1962, axiom, k6_xcmplx_0(1, 1963)=k4_xcmplx_0(1962)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_rm12_r13, axiom, k6_xcmplx_0(1, k4_xcmplx_0(12))=13).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d12_rn13d12, axiom, k6_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 12))=k7_xcmplx_0(13, 12)).
fof(rqRealDiff__k6_xcmplx_0__rm12_r0_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 0)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm12_r1_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 1)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm12_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(12))=0).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm13_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(13))=1).
fof(rqRealDiff__k6_xcmplx_0__rm138_r0_rm138, axiom, k6_xcmplx_0(k4_xcmplx_0(138), 0)=k4_xcmplx_0(138)).
fof(rqRealDiff__k6_xcmplx_0__rm138_r12_rm150, axiom, k6_xcmplx_0(k4_xcmplx_0(138), 12)=k4_xcmplx_0(150)).
fof(rqRealDiff__k6_xcmplx_0__rm138_rm138_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(138), k4_xcmplx_0(138))=0).
fof(rqRealDiff__k6_xcmplx_0__rm13_r0_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(13), 0)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm12_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(12))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm13_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(13))=0).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm1_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(1))=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm150_r0_rm150, axiom, k6_xcmplx_0(k4_xcmplx_0(150), 0)=k4_xcmplx_0(150)).
fof(rqRealDiff__k6_xcmplx_0__rm150_r1_rm151, axiom, k6_xcmplx_0(k4_xcmplx_0(150), 1)=k4_xcmplx_0(151)).
fof(rqRealDiff__k6_xcmplx_0__rm150_rm138_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(150), k4_xcmplx_0(138))=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm150_rm150_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(150), k4_xcmplx_0(150))=0).
fof(rqRealDiff__k6_xcmplx_0__rm151_r0_rm151, axiom, k6_xcmplx_0(k4_xcmplx_0(151), 0)=k4_xcmplx_0(151)).
fof(rqRealDiff__k6_xcmplx_0__rm151_rm150_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(151), k4_xcmplx_0(150))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm151_rm151_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(151), k4_xcmplx_0(151))=0).
fof(rqRealDiff__k6_xcmplx_0__rm151_rm1_rm150, axiom, k6_xcmplx_0(k4_xcmplx_0(151), k4_xcmplx_0(1))=k4_xcmplx_0(150)).
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_r12_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 12)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r150_rm151, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 150)=k4_xcmplx_0(151)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm13_r12, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(13))=12).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm151_r150, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(151))=150).
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_rn1d12_rnm13d12, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 12))=k7_xcmplx_0(k4_xcmplx_0(13), 12)).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_r0_rn1d12, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 12), 0)=k7_xcmplx_0(1, 12)).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_rn1d12_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 12), k7_xcmplx_0(1, 12))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d12_r1_rnm13d12, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), 1)=k7_xcmplx_0(k4_xcmplx_0(13), 12)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d12_rnm1d12_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), k7_xcmplx_0(k4_xcmplx_0(1), 12))=0).
fof(rqRealDiv__k7_xcmplx_0__r12_r12_r1, axiom, k7_xcmplx_0(12, 12)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r12_rn1d12, axiom, k7_xcmplx_0(1, 12)=k7_xcmplx_0(1, 12)).
fof(rqRealDiv__k7_xcmplx_0__r1_r13_rn1d13, axiom, k7_xcmplx_0(1, 13)=k7_xcmplx_0(1, 13)).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_rm12_rnm1d12, axiom, k7_xcmplx_0(1, k4_xcmplx_0(12))=k7_xcmplx_0(k4_xcmplx_0(1), 12)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm13_rnm1d13, axiom, k7_xcmplx_0(1, k4_xcmplx_0(13))=k7_xcmplx_0(k4_xcmplx_0(1), 13)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm151_rnm1d151, axiom, k7_xcmplx_0(1, k4_xcmplx_0(151))=k7_xcmplx_0(k4_xcmplx_0(1), 151)).
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__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_r12_r0, axiom, k3_xcmplx_0(0, 12)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r13_r0, axiom, k3_xcmplx_0(0, 13)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d12_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 12))=0).
fof(rqRealMult__k3_xcmplx_0__r12_r0_r0, axiom, k3_xcmplx_0(12, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r12_r1_r12, axiom, k3_xcmplx_0(12, 1)=12).
fof(rqRealMult__k3_xcmplx_0__r12_rm151_rm1812, axiom, k3_xcmplx_0(12, k4_xcmplx_0(151))=k4_xcmplx_0(1812)).
fof(rqRealMult__k3_xcmplx_0__r12_rn1d12_r1, axiom, k3_xcmplx_0(12, k7_xcmplx_0(1, 12))=1).
fof(rqRealMult__k3_xcmplx_0__r12_rnm1d12_rm1, axiom, k3_xcmplx_0(12, k7_xcmplx_0(k4_xcmplx_0(1), 12))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r138_r1_r138, axiom, k3_xcmplx_0(138, 1)=138).
fof(rqRealMult__k3_xcmplx_0__r13_r0_r0, axiom, k3_xcmplx_0(13, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r13_r150_r1950, axiom, k3_xcmplx_0(13, 150)=1950).
fof(rqRealMult__k3_xcmplx_0__r13_r151_r1963, axiom, k3_xcmplx_0(13, 151)=1963).
fof(rqRealMult__k3_xcmplx_0__r13_r1_r13, axiom, k3_xcmplx_0(13, 1)=13).
fof(rqRealMult__k3_xcmplx_0__r150_r13_r1950, axiom, k3_xcmplx_0(150, 13)=1950).
fof(rqRealMult__k3_xcmplx_0__r150_r1_r150, axiom, k3_xcmplx_0(150, 1)=150).
fof(rqRealMult__k3_xcmplx_0__r151_r13_r1963, axiom, k3_xcmplx_0(151, 13)=1963).
fof(rqRealMult__k3_xcmplx_0__r151_r1_r151, axiom, k3_xcmplx_0(151, 1)=151).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r12_r12, axiom, k3_xcmplx_0(1, 12)=12).
fof(rqRealMult__k3_xcmplx_0__r1_r138_r138, axiom, k3_xcmplx_0(1, 138)=138).
fof(rqRealMult__k3_xcmplx_0__r1_r13_r13, axiom, k3_xcmplx_0(1, 13)=13).
fof(rqRealMult__k3_xcmplx_0__r1_r150_r150, axiom, k3_xcmplx_0(1, 150)=150).
fof(rqRealMult__k3_xcmplx_0__r1_r151_r151, axiom, k3_xcmplx_0(1, 151)=151).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_rm12_rm12, axiom, k3_xcmplx_0(1, k4_xcmplx_0(12))=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__r1_rm13_rm13, axiom, k3_xcmplx_0(1, k4_xcmplx_0(13))=k4_xcmplx_0(13)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d12_rn1d12, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 12))=k7_xcmplx_0(1, 12)).
fof(rqRealMult__k3_xcmplx_0__rm12_r1_rm12, axiom, k3_xcmplx_0(k4_xcmplx_0(12), 1)=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__rm12_rn1d12_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(12), k7_xcmplx_0(1, 12))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm12_rnm1d12_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(12), k7_xcmplx_0(k4_xcmplx_0(1), 12))=1).
fof(rqRealMult__k3_xcmplx_0__rm138_r1_rm138, axiom, k3_xcmplx_0(k4_xcmplx_0(138), 1)=k4_xcmplx_0(138)).
fof(rqRealMult__k3_xcmplx_0__rm13_r1_rm13, axiom, k3_xcmplx_0(k4_xcmplx_0(13), 1)=k4_xcmplx_0(13)).
fof(rqRealMult__k3_xcmplx_0__rm13_rm151_r1963, axiom, k3_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(151))=1963).
fof(rqRealMult__k3_xcmplx_0__rm150_r1_rm150, axiom, k3_xcmplx_0(k4_xcmplx_0(150), 1)=k4_xcmplx_0(150)).
fof(rqRealMult__k3_xcmplx_0__rm151_r1_rm151, axiom, k3_xcmplx_0(k4_xcmplx_0(151), 1)=k4_xcmplx_0(151)).
fof(rqRealMult__k3_xcmplx_0__rn1d12_r12_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 12), 12)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d12_r1_rn1d12, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 12), 1)=k7_xcmplx_0(1, 12)).
fof(rqRealMult__k3_xcmplx_0__rn1d12_rm12_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 12), k4_xcmplx_0(12))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn1d13_r13_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 13), 13)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d13_rm13_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 13), k4_xcmplx_0(13))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_r12_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), 12)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_r1_rnm1d12, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 12)).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_rm12_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), k4_xcmplx_0(12))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d13_r1963_rm151, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 13), 1963)=k4_xcmplx_0(151)).
fof(rqRealMult__k3_xcmplx_0__rnm1d13_rm13_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 13), k4_xcmplx_0(13))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d151_rm151_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 151), k4_xcmplx_0(151))=1).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r12_rm12, axiom, k4_xcmplx_0(12)=k4_xcmplx_0(12)).
fof(rqRealNeg__k4_xcmplx_0__r138_rm138, axiom, k4_xcmplx_0(138)=k4_xcmplx_0(138)).
fof(rqRealNeg__k4_xcmplx_0__r13_rm13, axiom, k4_xcmplx_0(13)=k4_xcmplx_0(13)).
fof(rqRealNeg__k4_xcmplx_0__r150_rm150, axiom, k4_xcmplx_0(150)=k4_xcmplx_0(150)).
fof(rqRealNeg__k4_xcmplx_0__r151_rm151, axiom, k4_xcmplx_0(151)=k4_xcmplx_0(151)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__rm12_r12, axiom, k4_xcmplx_0(k4_xcmplx_0(12))=12).
fof(rqRealNeg__k4_xcmplx_0__rm138_r138, axiom, k4_xcmplx_0(k4_xcmplx_0(138))=138).
fof(rqRealNeg__k4_xcmplx_0__rm13_r13, axiom, k4_xcmplx_0(k4_xcmplx_0(13))=13).
fof(rqRealNeg__k4_xcmplx_0__rm150_r150, axiom, k4_xcmplx_0(k4_xcmplx_0(150))=150).
fof(rqRealNeg__k4_xcmplx_0__rm151_r151, axiom, k4_xcmplx_0(k4_xcmplx_0(151))=151).
fof(rqRealNeg__k4_xcmplx_0__rm1812_r1812, axiom, k4_xcmplx_0(k4_xcmplx_0(1812))=1812).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rn12d13_rnm12d13, axiom, k4_xcmplx_0(k7_xcmplx_0(12, 13))=k7_xcmplx_0(k4_xcmplx_0(12), 13)).
fof(rqRealNeg__k4_xcmplx_0__rn1d12_rnm1d12, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 12))=k7_xcmplx_0(k4_xcmplx_0(1), 12)).
fof(rqRealNeg__k4_xcmplx_0__rnm12d13_rn12d13, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(12), 13))=k7_xcmplx_0(12, 13)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d12_rn1d12, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12))=k7_xcmplx_0(1, 12)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc12_numerals, axiom,  (v2_xxreal_0(12) & m1_subset_1(12, k4_ordinal1)) ).
fof(spc138_numerals, axiom,  (v2_xxreal_0(138) & m1_subset_1(138, k4_ordinal1)) ).
fof(spc13_numerals, axiom,  (v2_xxreal_0(13) & m1_subset_1(13, k4_ordinal1)) ).
fof(spc150_numerals, axiom,  (v2_xxreal_0(150) & m1_subset_1(150, k4_ordinal1)) ).
fof(spc151_numerals, axiom,  (v2_xxreal_0(151) & m1_subset_1(151, k4_ordinal1)) ).
fof(spc1812_numerals, axiom,  (v2_xxreal_0(1812) & m1_subset_1(1812, k4_ordinal1)) ).
fof(spc1950_numerals, axiom,  (v2_xxreal_0(1950) & m1_subset_1(1950, k4_ordinal1)) ).
fof(spc1962_numerals, axiom,  (v2_xxreal_0(1962) & m1_subset_1(1962, k4_ordinal1)) ).
fof(spc1963_numerals, axiom,  (v2_xxreal_0(1963) & m1_subset_1(1963, 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(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) ) ).
