% Mizar problem: t1141_xprimes0,xprimes0,8007,7 
fof(t1141_xprimes0, conjecture,  ~ (v1_int_2(1141)) ).
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_r156_rm156, axiom, k6_xcmplx_0(0, 156)=k4_xcmplx_0(156)).
fof(rqRealDiff__k6_xcmplx_0__r0_r162_rm162, axiom, k6_xcmplx_0(0, 162)=k4_xcmplx_0(162)).
fof(rqRealDiff__k6_xcmplx_0__r0_r163_rm163, axiom, k6_xcmplx_0(0, 163)=k4_xcmplx_0(163)).
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__r1141_r163_r978, axiom, k6_xcmplx_0(1141, 163)=978).
fof(rqRealDiff__k6_xcmplx_0__r1141_r1_r1140, axiom, k6_xcmplx_0(1141, 1)=1140).
fof(rqRealDiff__k6_xcmplx_0__r1141_r7_r1134, axiom, k6_xcmplx_0(1141, 7)=1134).
fof(rqRealDiff__k6_xcmplx_0__r156_r0_r156, axiom, k6_xcmplx_0(156, 0)=156).
fof(rqRealDiff__k6_xcmplx_0__r156_r156_r0, axiom, k6_xcmplx_0(156, 156)=0).
fof(rqRealDiff__k6_xcmplx_0__r162_r0_r162, axiom, k6_xcmplx_0(162, 0)=162).
fof(rqRealDiff__k6_xcmplx_0__r162_r162_r0, axiom, k6_xcmplx_0(162, 162)=0).
fof(rqRealDiff__k6_xcmplx_0__r162_r6_r156, axiom, k6_xcmplx_0(162, 6)=156).
fof(rqRealDiff__k6_xcmplx_0__r163_r0_r163, axiom, k6_xcmplx_0(163, 0)=163).
fof(rqRealDiff__k6_xcmplx_0__r163_r156_r7, axiom, k6_xcmplx_0(163, 156)=7).
fof(rqRealDiff__k6_xcmplx_0__r163_r163_r0, axiom, k6_xcmplx_0(163, 163)=0).
fof(rqRealDiff__k6_xcmplx_0__r163_r1_r162, axiom, k6_xcmplx_0(163, 1)=162).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1141_rm1140, axiom, k6_xcmplx_0(1, 1141)=k4_xcmplx_0(1140)).
fof(rqRealDiff__k6_xcmplx_0__r1_r163_rm162, axiom, k6_xcmplx_0(1, 163)=k4_xcmplx_0(162)).
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_r1140_rm1134, axiom, k6_xcmplx_0(6, 1140)=k4_xcmplx_0(1134)).
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_r1141_rm1134, axiom, k6_xcmplx_0(7, 1141)=k4_xcmplx_0(1134)).
fof(rqRealDiff__k6_xcmplx_0__r7_r163_rm156, axiom, k6_xcmplx_0(7, 163)=k4_xcmplx_0(156)).
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__r978_r0_r978, axiom, k6_xcmplx_0(978, 0)=978).
fof(rqRealDiff__k6_xcmplx_0__rm156_r0_rm156, axiom, k6_xcmplx_0(k4_xcmplx_0(156), 0)=k4_xcmplx_0(156)).
fof(rqRealDiff__k6_xcmplx_0__rm156_r6_rm162, axiom, k6_xcmplx_0(k4_xcmplx_0(156), 6)=k4_xcmplx_0(162)).
fof(rqRealDiff__k6_xcmplx_0__rm156_r7_rm163, axiom, k6_xcmplx_0(k4_xcmplx_0(156), 7)=k4_xcmplx_0(163)).
fof(rqRealDiff__k6_xcmplx_0__rm156_rm156_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(156), k4_xcmplx_0(156))=0).
fof(rqRealDiff__k6_xcmplx_0__rm156_rm163_r7, axiom, k6_xcmplx_0(k4_xcmplx_0(156), k4_xcmplx_0(163))=7).
fof(rqRealDiff__k6_xcmplx_0__rm162_r0_rm162, axiom, k6_xcmplx_0(k4_xcmplx_0(162), 0)=k4_xcmplx_0(162)).
fof(rqRealDiff__k6_xcmplx_0__rm162_r1_rm163, axiom, k6_xcmplx_0(k4_xcmplx_0(162), 1)=k4_xcmplx_0(163)).
fof(rqRealDiff__k6_xcmplx_0__rm162_rm156_rm6, axiom, k6_xcmplx_0(k4_xcmplx_0(162), k4_xcmplx_0(156))=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__rm162_rm162_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(162), k4_xcmplx_0(162))=0).
fof(rqRealDiff__k6_xcmplx_0__rm163_r0_rm163, axiom, k6_xcmplx_0(k4_xcmplx_0(163), 0)=k4_xcmplx_0(163)).
fof(rqRealDiff__k6_xcmplx_0__rm163_rm156_rm7, axiom, k6_xcmplx_0(k4_xcmplx_0(163), k4_xcmplx_0(156))=k4_xcmplx_0(7)).
fof(rqRealDiff__k6_xcmplx_0__rm163_rm162_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(163), k4_xcmplx_0(162))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm163_rm163_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(163), k4_xcmplx_0(163))=0).
fof(rqRealDiff__k6_xcmplx_0__rm163_rm1_rm162, axiom, k6_xcmplx_0(k4_xcmplx_0(163), k4_xcmplx_0(1))=k4_xcmplx_0(162)).
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_rm163_r162, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(163))=162).
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__rm978_rm978_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(978), k4_xcmplx_0(978))=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_rm163_rnm1d163, axiom, k7_xcmplx_0(1, k4_xcmplx_0(163))=k7_xcmplx_0(k4_xcmplx_0(1), 163)).
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__r156_r1_r156, axiom, k3_xcmplx_0(156, 1)=156).
fof(rqRealMult__k3_xcmplx_0__r162_r1_r162, axiom, k3_xcmplx_0(162, 1)=162).
fof(rqRealMult__k3_xcmplx_0__r163_r1_r163, axiom, k3_xcmplx_0(163, 1)=163).
fof(rqRealMult__k3_xcmplx_0__r163_r7_r1141, axiom, k3_xcmplx_0(163, 7)=1141).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r156_r156, axiom, k3_xcmplx_0(1, 156)=156).
fof(rqRealMult__k3_xcmplx_0__r1_r162_r162, axiom, k3_xcmplx_0(1, 162)=162).
fof(rqRealMult__k3_xcmplx_0__r1_r163_r163, axiom, k3_xcmplx_0(1, 163)=163).
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_r978_r978, axiom, k3_xcmplx_0(1, 978)=978).
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_rm163_rm978, axiom, k3_xcmplx_0(6, k4_xcmplx_0(163))=k4_xcmplx_0(978)).
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_r163_r1141, axiom, k3_xcmplx_0(7, 163)=1141).
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__rm163_r1_rm163, axiom, k3_xcmplx_0(k4_xcmplx_0(163), 1)=k4_xcmplx_0(163)).
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_rm163_r1141, axiom, k3_xcmplx_0(k4_xcmplx_0(7), k4_xcmplx_0(163))=1141).
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__rnm1d163_rm163_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 163), k4_xcmplx_0(163))=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_r1141_rm163, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 7), 1141)=k4_xcmplx_0(163)).
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__r1140_rm1140, axiom, k4_xcmplx_0(1140)=k4_xcmplx_0(1140)).
fof(rqRealNeg__k4_xcmplx_0__r156_rm156, axiom, k4_xcmplx_0(156)=k4_xcmplx_0(156)).
fof(rqRealNeg__k4_xcmplx_0__r162_rm162, axiom, k4_xcmplx_0(162)=k4_xcmplx_0(162)).
fof(rqRealNeg__k4_xcmplx_0__r163_rm163, axiom, k4_xcmplx_0(163)=k4_xcmplx_0(163)).
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__r978_rm978, axiom, k4_xcmplx_0(978)=k4_xcmplx_0(978)).
fof(rqRealNeg__k4_xcmplx_0__rm1134_r1134, axiom, k4_xcmplx_0(k4_xcmplx_0(1134))=1134).
fof(rqRealNeg__k4_xcmplx_0__rm156_r156, axiom, k4_xcmplx_0(k4_xcmplx_0(156))=156).
fof(rqRealNeg__k4_xcmplx_0__rm162_r162, axiom, k4_xcmplx_0(k4_xcmplx_0(162))=162).
fof(rqRealNeg__k4_xcmplx_0__rm163_r163, axiom, k4_xcmplx_0(k4_xcmplx_0(163))=163).
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__rm978_r978, axiom, k4_xcmplx_0(k4_xcmplx_0(978))=978).
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__rnm162d7_rn162d7, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(162), 7))=k7_xcmplx_0(162, 7)).
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(spc1134_numerals, axiom,  (v2_xxreal_0(1134) & m1_subset_1(1134, k4_ordinal1)) ).
fof(spc1140_numerals, axiom,  (v2_xxreal_0(1140) & m1_subset_1(1140, k4_ordinal1)) ).
fof(spc1141_numerals, axiom,  (v2_xxreal_0(1141) & m1_subset_1(1141, k4_ordinal1)) ).
fof(spc156_numerals, axiom,  (v2_xxreal_0(156) & m1_subset_1(156, k4_ordinal1)) ).
fof(spc162_numerals, axiom,  (v2_xxreal_0(162) & m1_subset_1(162, k4_ordinal1)) ).
fof(spc163_numerals, axiom,  (v2_xxreal_0(163) & m1_subset_1(163, 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(spc978_numerals, axiom,  (v2_xxreal_0(978) & m1_subset_1(978, 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) ) ).
