% Mizar problem: t671_xprimes0,xprimes0,4655,7 
fof(t671_xprimes0, conjecture,  ~ (v1_int_2(671)) ).
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_r10_rm10, axiom, k6_xcmplx_0(0, 10)=k4_xcmplx_0(10)).
fof(rqRealDiff__k6_xcmplx_0__r0_r11_rm11, axiom, k6_xcmplx_0(0, 11)=k4_xcmplx_0(11)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r50_rm50, axiom, k6_xcmplx_0(0, 50)=k4_xcmplx_0(50)).
fof(rqRealDiff__k6_xcmplx_0__r0_r60_rm60, axiom, k6_xcmplx_0(0, 60)=k4_xcmplx_0(60)).
fof(rqRealDiff__k6_xcmplx_0__r0_r610_rm610, axiom, k6_xcmplx_0(0, 610)=k4_xcmplx_0(610)).
fof(rqRealDiff__k6_xcmplx_0__r0_r61_rm61, axiom, k6_xcmplx_0(0, 61)=k4_xcmplx_0(61)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm10_r10, axiom, k6_xcmplx_0(0, k4_xcmplx_0(10))=10).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d10_rnm1d10, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 10))=k7_xcmplx_0(k4_xcmplx_0(1), 10)).
fof(rqRealDiff__k6_xcmplx_0__r10_r0_r10, axiom, k6_xcmplx_0(10, 0)=10).
fof(rqRealDiff__k6_xcmplx_0__r10_r10_r0, axiom, k6_xcmplx_0(10, 10)=0).
fof(rqRealDiff__k6_xcmplx_0__r10_r11_rm1, axiom, k6_xcmplx_0(10, 11)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r10_r60_rm50, axiom, k6_xcmplx_0(10, 60)=k4_xcmplx_0(50)).
fof(rqRealDiff__k6_xcmplx_0__r10_rm1_r11, axiom, k6_xcmplx_0(10, k4_xcmplx_0(1))=11).
fof(rqRealDiff__k6_xcmplx_0__r11_r0_r11, axiom, k6_xcmplx_0(11, 0)=11).
fof(rqRealDiff__k6_xcmplx_0__r11_r10_r1, axiom, k6_xcmplx_0(11, 10)=1).
fof(rqRealDiff__k6_xcmplx_0__r11_r11_r0, axiom, k6_xcmplx_0(11, 11)=0).
fof(rqRealDiff__k6_xcmplx_0__r11_r1_r10, axiom, k6_xcmplx_0(11, 1)=10).
fof(rqRealDiff__k6_xcmplx_0__r11_r61_rm50, axiom, k6_xcmplx_0(11, 61)=k4_xcmplx_0(50)).
fof(rqRealDiff__k6_xcmplx_0__r11_r671_rm660, axiom, k6_xcmplx_0(11, 671)=k4_xcmplx_0(660)).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r11_rm10, axiom, k6_xcmplx_0(1, 11)=k4_xcmplx_0(10)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r61_rm60, axiom, k6_xcmplx_0(1, 61)=k4_xcmplx_0(60)).
fof(rqRealDiff__k6_xcmplx_0__r1_r671_rm670, axiom, k6_xcmplx_0(1, 671)=k4_xcmplx_0(670)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm10_r11, axiom, k6_xcmplx_0(1, k4_xcmplx_0(10))=11).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d10_rn11d10, axiom, k6_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 10))=k7_xcmplx_0(11, 10)).
fof(rqRealDiff__k6_xcmplx_0__r50_r0_r50, axiom, k6_xcmplx_0(50, 0)=50).
fof(rqRealDiff__k6_xcmplx_0__r50_r50_r0, axiom, k6_xcmplx_0(50, 50)=0).
fof(rqRealDiff__k6_xcmplx_0__r50_r60_rm10, axiom, k6_xcmplx_0(50, 60)=k4_xcmplx_0(10)).
fof(rqRealDiff__k6_xcmplx_0__r50_r61_rm11, axiom, k6_xcmplx_0(50, 61)=k4_xcmplx_0(11)).
fof(rqRealDiff__k6_xcmplx_0__r50_r660_rm610, axiom, k6_xcmplx_0(50, 660)=k4_xcmplx_0(610)).
fof(rqRealDiff__k6_xcmplx_0__r60_r0_r60, axiom, k6_xcmplx_0(60, 0)=60).
fof(rqRealDiff__k6_xcmplx_0__r60_r10_r50, axiom, k6_xcmplx_0(60, 10)=50).
fof(rqRealDiff__k6_xcmplx_0__r60_r60_r0, axiom, k6_xcmplx_0(60, 60)=0).
fof(rqRealDiff__k6_xcmplx_0__r60_rm1_r61, axiom, k6_xcmplx_0(60, k4_xcmplx_0(1))=61).
fof(rqRealDiff__k6_xcmplx_0__r610_r0_r610, axiom, k6_xcmplx_0(610, 0)=610).
fof(rqRealDiff__k6_xcmplx_0__r61_r0_r61, axiom, k6_xcmplx_0(61, 0)=61).
fof(rqRealDiff__k6_xcmplx_0__r61_r11_r50, axiom, k6_xcmplx_0(61, 11)=50).
fof(rqRealDiff__k6_xcmplx_0__r61_r1_r60, axiom, k6_xcmplx_0(61, 1)=60).
fof(rqRealDiff__k6_xcmplx_0__r61_r50_r11, axiom, k6_xcmplx_0(61, 50)=11).
fof(rqRealDiff__k6_xcmplx_0__r61_r60_r1, axiom, k6_xcmplx_0(61, 60)=1).
fof(rqRealDiff__k6_xcmplx_0__r61_r61_r0, axiom, k6_xcmplx_0(61, 61)=0).
fof(rqRealDiff__k6_xcmplx_0__r660_r0_r660, axiom, k6_xcmplx_0(660, 0)=660).
fof(rqRealDiff__k6_xcmplx_0__r670_r10_r660, axiom, k6_xcmplx_0(670, 10)=660).
fof(rqRealDiff__k6_xcmplx_0__r670_r60_r610, axiom, k6_xcmplx_0(670, 60)=610).
fof(rqRealDiff__k6_xcmplx_0__r671_r11_r660, axiom, k6_xcmplx_0(671, 11)=660).
fof(rqRealDiff__k6_xcmplx_0__r671_r1_r670, axiom, k6_xcmplx_0(671, 1)=670).
fof(rqRealDiff__k6_xcmplx_0__r671_r61_r610, axiom, k6_xcmplx_0(671, 61)=610).
fof(rqRealDiff__k6_xcmplx_0__rm10_r0_rm10, axiom, k6_xcmplx_0(k4_xcmplx_0(10), 0)=k4_xcmplx_0(10)).
fof(rqRealDiff__k6_xcmplx_0__rm10_r1_rm11, axiom, k6_xcmplx_0(k4_xcmplx_0(10), 1)=k4_xcmplx_0(11)).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm10_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(10), k4_xcmplx_0(10))=0).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm11_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(10), k4_xcmplx_0(11))=1).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm10_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(11), k4_xcmplx_0(10))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm11_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(11), k4_xcmplx_0(11))=0).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm1_rm10, axiom, k6_xcmplx_0(k4_xcmplx_0(11), k4_xcmplx_0(1))=k4_xcmplx_0(10)).
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_r10_rm11, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 10)=k4_xcmplx_0(11)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r60_rm61, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 60)=k4_xcmplx_0(61)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm11_r10, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(11))=10).
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_rm61_r60, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(61))=60).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm671_r670, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(671))=670).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d10_rnm11d10, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 10))=k7_xcmplx_0(k4_xcmplx_0(11), 10)).
fof(rqRealDiff__k6_xcmplx_0__rm50_r0_rm50, axiom, k6_xcmplx_0(k4_xcmplx_0(50), 0)=k4_xcmplx_0(50)).
fof(rqRealDiff__k6_xcmplx_0__rm50_r10_rm60, axiom, k6_xcmplx_0(k4_xcmplx_0(50), 10)=k4_xcmplx_0(60)).
fof(rqRealDiff__k6_xcmplx_0__rm50_r11_rm61, axiom, k6_xcmplx_0(k4_xcmplx_0(50), 11)=k4_xcmplx_0(61)).
fof(rqRealDiff__k6_xcmplx_0__rm50_rm50_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(50), k4_xcmplx_0(50))=0).
fof(rqRealDiff__k6_xcmplx_0__rm50_rm61_r11, axiom, k6_xcmplx_0(k4_xcmplx_0(50), k4_xcmplx_0(61))=11).
fof(rqRealDiff__k6_xcmplx_0__rm60_r0_rm60, axiom, k6_xcmplx_0(k4_xcmplx_0(60), 0)=k4_xcmplx_0(60)).
fof(rqRealDiff__k6_xcmplx_0__rm60_r1_rm61, axiom, k6_xcmplx_0(k4_xcmplx_0(60), 1)=k4_xcmplx_0(61)).
fof(rqRealDiff__k6_xcmplx_0__rm60_rm50_rm10, axiom, k6_xcmplx_0(k4_xcmplx_0(60), k4_xcmplx_0(50))=k4_xcmplx_0(10)).
fof(rqRealDiff__k6_xcmplx_0__rm60_rm60_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(60), k4_xcmplx_0(60))=0).
fof(rqRealDiff__k6_xcmplx_0__rm610_rm610_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(610), k4_xcmplx_0(610))=0).
fof(rqRealDiff__k6_xcmplx_0__rm61_rm11_rm50, axiom, k6_xcmplx_0(k4_xcmplx_0(61), k4_xcmplx_0(11))=k4_xcmplx_0(50)).
fof(rqRealDiff__k6_xcmplx_0__rm61_rm1_rm60, axiom, k6_xcmplx_0(k4_xcmplx_0(61), k4_xcmplx_0(1))=k4_xcmplx_0(60)).
fof(rqRealDiff__k6_xcmplx_0__rm61_rm50_rm11, axiom, k6_xcmplx_0(k4_xcmplx_0(61), k4_xcmplx_0(50))=k4_xcmplx_0(11)).
fof(rqRealDiff__k6_xcmplx_0__rm61_rm60_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(61), k4_xcmplx_0(60))=k4_xcmplx_0(1)).
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__rm660_r0_rm660, axiom, k6_xcmplx_0(k4_xcmplx_0(660), 0)=k4_xcmplx_0(660)).
fof(rqRealDiff__k6_xcmplx_0__rm660_rm660_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(660), k4_xcmplx_0(660))=0).
fof(rqRealDiff__k6_xcmplx_0__rm670_rm670_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(670), k4_xcmplx_0(670))=0).
fof(rqRealDiff__k6_xcmplx_0__rm671_rm671_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(671), k4_xcmplx_0(671))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d10_r0_rn1d10, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 10), 0)=k7_xcmplx_0(1, 10)).
fof(rqRealDiff__k6_xcmplx_0__rn1d10_rm1_rn11d10, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 10), k4_xcmplx_0(1))=k7_xcmplx_0(11, 10)).
fof(rqRealDiff__k6_xcmplx_0__rn1d10_rn1d10_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 10), k7_xcmplx_0(1, 10))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d11_r1_rnm10d11, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 11), 1)=k7_xcmplx_0(k4_xcmplx_0(10), 11)).
fof(rqRealDiff__k6_xcmplx_0__rn1d11_rn1d11_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 11), k7_xcmplx_0(1, 11))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d50_rn1d50_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 50), k7_xcmplx_0(1, 50))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d10_r1_rnm11d10, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 10), 1)=k7_xcmplx_0(k4_xcmplx_0(11), 10)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d10_rnm1d10_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 10), k7_xcmplx_0(k4_xcmplx_0(1), 10))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d11_rnm1d11_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 11), k7_xcmplx_0(k4_xcmplx_0(1), 11))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d50_rnm1d50_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 50), k7_xcmplx_0(k4_xcmplx_0(1), 50))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r10_rn1d10, axiom, k7_xcmplx_0(1, 10)=k7_xcmplx_0(1, 10)).
fof(rqRealDiv__k7_xcmplx_0__r1_r11_rn1d11, axiom, k7_xcmplx_0(1, 11)=k7_xcmplx_0(1, 11)).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r60_rn1d60, axiom, k7_xcmplx_0(1, 60)=k7_xcmplx_0(1, 60)).
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_rm10_rnm1d10, axiom, k7_xcmplx_0(1, k4_xcmplx_0(10))=k7_xcmplx_0(k4_xcmplx_0(1), 10)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm11_rnm1d11, axiom, k7_xcmplx_0(1, k4_xcmplx_0(11))=k7_xcmplx_0(k4_xcmplx_0(1), 11)).
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_rm50_rnm1d50, axiom, k7_xcmplx_0(1, k4_xcmplx_0(50))=k7_xcmplx_0(k4_xcmplx_0(1), 50)).
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__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_r10_r0, axiom, k3_xcmplx_0(0, 10)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r11_r0, axiom, k3_xcmplx_0(0, 11)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r610_r0, axiom, k3_xcmplx_0(0, 610)=0).
fof(rqRealMult__k3_xcmplx_0__r10_r0_r0, axiom, k3_xcmplx_0(10, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r10_r1_r10, axiom, k3_xcmplx_0(10, 1)=10).
fof(rqRealMult__k3_xcmplx_0__r10_r61_r610, axiom, k3_xcmplx_0(10, 61)=610).
fof(rqRealMult__k3_xcmplx_0__r10_rm61_rm610, axiom, k3_xcmplx_0(10, k4_xcmplx_0(61))=k4_xcmplx_0(610)).
fof(rqRealMult__k3_xcmplx_0__r10_rn1d10_r1, axiom, k3_xcmplx_0(10, k7_xcmplx_0(1, 10))=1).
fof(rqRealMult__k3_xcmplx_0__r10_rnm1d10_rm1, axiom, k3_xcmplx_0(10, k7_xcmplx_0(k4_xcmplx_0(1), 10))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r11_r0_r0, axiom, k3_xcmplx_0(11, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r11_r1_r11, axiom, k3_xcmplx_0(11, 1)=11).
fof(rqRealMult__k3_xcmplx_0__r11_r60_r660, axiom, k3_xcmplx_0(11, 60)=660).
fof(rqRealMult__k3_xcmplx_0__r11_r61_r671, axiom, k3_xcmplx_0(11, 61)=671).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r10_r10, axiom, k3_xcmplx_0(1, 10)=10).
fof(rqRealMult__k3_xcmplx_0__r1_r11_r11, axiom, k3_xcmplx_0(1, 11)=11).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r50_r50, axiom, k3_xcmplx_0(1, 50)=50).
fof(rqRealMult__k3_xcmplx_0__r1_r60_r60, axiom, k3_xcmplx_0(1, 60)=60).
fof(rqRealMult__k3_xcmplx_0__r1_r610_r610, axiom, k3_xcmplx_0(1, 610)=610).
fof(rqRealMult__k3_xcmplx_0__r1_r61_r61, axiom, k3_xcmplx_0(1, 61)=61).
fof(rqRealMult__k3_xcmplx_0__r1_r660_r660, axiom, k3_xcmplx_0(1, 660)=660).
fof(rqRealMult__k3_xcmplx_0__r1_r670_r670, axiom, k3_xcmplx_0(1, 670)=670).
fof(rqRealMult__k3_xcmplx_0__r1_r671_r671, axiom, k3_xcmplx_0(1, 671)=671).
fof(rqRealMult__k3_xcmplx_0__r1_rm10_rm10, axiom, k3_xcmplx_0(1, k4_xcmplx_0(10))=k4_xcmplx_0(10)).
fof(rqRealMult__k3_xcmplx_0__r1_rm11_rm11, axiom, k3_xcmplx_0(1, k4_xcmplx_0(11))=k4_xcmplx_0(11)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d10_rn1d10, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 10))=k7_xcmplx_0(1, 10)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d11_rn1d11, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 11))=k7_xcmplx_0(1, 11)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d60_rn1d60, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 60))=k7_xcmplx_0(1, 60)).
fof(rqRealMult__k3_xcmplx_0__r50_r1_r50, axiom, k3_xcmplx_0(50, 1)=50).
fof(rqRealMult__k3_xcmplx_0__r50_rn1d50_r1, axiom, k3_xcmplx_0(50, k7_xcmplx_0(1, 50))=1).
fof(rqRealMult__k3_xcmplx_0__r50_rnm1d50_rm1, axiom, k3_xcmplx_0(50, k7_xcmplx_0(k4_xcmplx_0(1), 50))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r60_r11_r660, axiom, k3_xcmplx_0(60, 11)=660).
fof(rqRealMult__k3_xcmplx_0__r60_r1_r60, axiom, k3_xcmplx_0(60, 1)=60).
fof(rqRealMult__k3_xcmplx_0__r610_r0_r0, axiom, k3_xcmplx_0(610, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r61_r10_r610, axiom, k3_xcmplx_0(61, 10)=610).
fof(rqRealMult__k3_xcmplx_0__r61_r11_r671, axiom, k3_xcmplx_0(61, 11)=671).
fof(rqRealMult__k3_xcmplx_0__r61_r1_r61, axiom, k3_xcmplx_0(61, 1)=61).
fof(rqRealMult__k3_xcmplx_0__r660_r1_r660, axiom, k3_xcmplx_0(660, 1)=660).
fof(rqRealMult__k3_xcmplx_0__r670_r1_r670, axiom, k3_xcmplx_0(670, 1)=670).
fof(rqRealMult__k3_xcmplx_0__r671_r1_r671, axiom, k3_xcmplx_0(671, 1)=671).
fof(rqRealMult__k3_xcmplx_0__rm10_r1_rm10, axiom, k3_xcmplx_0(k4_xcmplx_0(10), 1)=k4_xcmplx_0(10)).
fof(rqRealMult__k3_xcmplx_0__rm10_rn1d10_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(10), k7_xcmplx_0(1, 10))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm10_rnm1d10_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(10), k7_xcmplx_0(k4_xcmplx_0(1), 10))=1).
fof(rqRealMult__k3_xcmplx_0__rm11_r1_rm11, axiom, k3_xcmplx_0(k4_xcmplx_0(11), 1)=k4_xcmplx_0(11)).
fof(rqRealMult__k3_xcmplx_0__rm11_rm61_r671, axiom, k3_xcmplx_0(k4_xcmplx_0(11), k4_xcmplx_0(61))=671).
fof(rqRealMult__k3_xcmplx_0__rm11_rn1d10_rnm11d10, axiom, k3_xcmplx_0(k4_xcmplx_0(11), k7_xcmplx_0(1, 10))=k7_xcmplx_0(k4_xcmplx_0(11), 10)).
fof(rqRealMult__k3_xcmplx_0__rm11_rnm10d11_r10, axiom, k3_xcmplx_0(k4_xcmplx_0(11), k7_xcmplx_0(k4_xcmplx_0(10), 11))=10).
fof(rqRealMult__k3_xcmplx_0__rm11_rnm1d11_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(11), k7_xcmplx_0(k4_xcmplx_0(1), 11))=1).
fof(rqRealMult__k3_xcmplx_0__rm50_r1_rm50, axiom, k3_xcmplx_0(k4_xcmplx_0(50), 1)=k4_xcmplx_0(50)).
fof(rqRealMult__k3_xcmplx_0__rm50_rn1d50_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(50), k7_xcmplx_0(1, 50))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm50_rnm1d50_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(50), k7_xcmplx_0(k4_xcmplx_0(1), 50))=1).
fof(rqRealMult__k3_xcmplx_0__rm60_r1_rm60, axiom, k3_xcmplx_0(k4_xcmplx_0(60), 1)=k4_xcmplx_0(60)).
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__rm660_r1_rm660, axiom, k3_xcmplx_0(k4_xcmplx_0(660), 1)=k4_xcmplx_0(660)).
fof(rqRealMult__k3_xcmplx_0__rm670_r1_rm670, axiom, k3_xcmplx_0(k4_xcmplx_0(670), 1)=k4_xcmplx_0(670)).
fof(rqRealMult__k3_xcmplx_0__rn11d10_r1_rn11d10, axiom, k3_xcmplx_0(k7_xcmplx_0(11, 10), 1)=k7_xcmplx_0(11, 10)).
fof(rqRealMult__k3_xcmplx_0__rn1d10_r10_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 10), 10)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d10_r1_rn1d10, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 10), 1)=k7_xcmplx_0(1, 10)).
fof(rqRealMult__k3_xcmplx_0__rn1d10_rm10_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 10), k4_xcmplx_0(10))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn1d11_r1_rn1d11, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 11), 1)=k7_xcmplx_0(1, 11)).
fof(rqRealMult__k3_xcmplx_0__rn1d50_r1_rn1d50, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 50), 1)=k7_xcmplx_0(1, 50)).
fof(rqRealMult__k3_xcmplx_0__rn1d60_r1_rn1d60, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 60), 1)=k7_xcmplx_0(1, 60)).
fof(rqRealMult__k3_xcmplx_0__rn1d61_r61_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 61), 61)=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d10_r10_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 10), 10)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d10_r1_rnm1d10, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 10), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 10)).
fof(rqRealMult__k3_xcmplx_0__rnm1d10_rm10_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 10), k4_xcmplx_0(10))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d11_r10_rnm10d11, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 11), 10)=k7_xcmplx_0(k4_xcmplx_0(10), 11)).
fof(rqRealMult__k3_xcmplx_0__rnm1d11_r11_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 11), 11)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d11_r1_rnm1d11, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 11), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 11)).
fof(rqRealMult__k3_xcmplx_0__rnm1d11_r671_rm61, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 11), 671)=k4_xcmplx_0(61)).
fof(rqRealMult__k3_xcmplx_0__rnm1d11_rm10_rn10d11, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 11), k4_xcmplx_0(10))=k7_xcmplx_0(10, 11)).
fof(rqRealMult__k3_xcmplx_0__rnm1d11_rm11_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 11), k4_xcmplx_0(11))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d50_r1_rnm1d50, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 50), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 50)).
fof(rqRealMult__k3_xcmplx_0__rnm1d50_r50_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 50), 50)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d50_rm50_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 50), k4_xcmplx_0(50))=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__r10_rm10, axiom, k4_xcmplx_0(10)=k4_xcmplx_0(10)).
fof(rqRealNeg__k4_xcmplx_0__r11_rm11, axiom, k4_xcmplx_0(11)=k4_xcmplx_0(11)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r50_rm50, axiom, k4_xcmplx_0(50)=k4_xcmplx_0(50)).
fof(rqRealNeg__k4_xcmplx_0__r60_rm60, axiom, k4_xcmplx_0(60)=k4_xcmplx_0(60)).
fof(rqRealNeg__k4_xcmplx_0__r610_rm610, axiom, k4_xcmplx_0(610)=k4_xcmplx_0(610)).
fof(rqRealNeg__k4_xcmplx_0__r61_rm61, axiom, k4_xcmplx_0(61)=k4_xcmplx_0(61)).
fof(rqRealNeg__k4_xcmplx_0__r660_rm660, axiom, k4_xcmplx_0(660)=k4_xcmplx_0(660)).
fof(rqRealNeg__k4_xcmplx_0__r670_rm670, axiom, k4_xcmplx_0(670)=k4_xcmplx_0(670)).
fof(rqRealNeg__k4_xcmplx_0__r671_rm671, axiom, k4_xcmplx_0(671)=k4_xcmplx_0(671)).
fof(rqRealNeg__k4_xcmplx_0__rm10_r10, axiom, k4_xcmplx_0(k4_xcmplx_0(10))=10).
fof(rqRealNeg__k4_xcmplx_0__rm11_r11, axiom, k4_xcmplx_0(k4_xcmplx_0(11))=11).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm50_r50, axiom, k4_xcmplx_0(k4_xcmplx_0(50))=50).
fof(rqRealNeg__k4_xcmplx_0__rm60_r60, axiom, k4_xcmplx_0(k4_xcmplx_0(60))=60).
fof(rqRealNeg__k4_xcmplx_0__rm610_r610, axiom, k4_xcmplx_0(k4_xcmplx_0(610))=610).
fof(rqRealNeg__k4_xcmplx_0__rm61_r61, axiom, k4_xcmplx_0(k4_xcmplx_0(61))=61).
fof(rqRealNeg__k4_xcmplx_0__rm660_r660, axiom, k4_xcmplx_0(k4_xcmplx_0(660))=660).
fof(rqRealNeg__k4_xcmplx_0__rm670_r670, axiom, k4_xcmplx_0(k4_xcmplx_0(670))=670).
fof(rqRealNeg__k4_xcmplx_0__rm671_r671, axiom, k4_xcmplx_0(k4_xcmplx_0(671))=671).
fof(rqRealNeg__k4_xcmplx_0__rn1d10_rnm1d10, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 10))=k7_xcmplx_0(k4_xcmplx_0(1), 10)).
fof(rqRealNeg__k4_xcmplx_0__rn1d11_rnm1d11, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 11))=k7_xcmplx_0(k4_xcmplx_0(1), 11)).
fof(rqRealNeg__k4_xcmplx_0__rn1d50_rnm1d50, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 50))=k7_xcmplx_0(k4_xcmplx_0(1), 50)).
fof(rqRealNeg__k4_xcmplx_0__rn1d60_rnm1d60, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 60))=k7_xcmplx_0(k4_xcmplx_0(1), 60)).
fof(rqRealNeg__k4_xcmplx_0__rnm11d10_rn11d10, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11), 10))=k7_xcmplx_0(11, 10)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d10_rn1d10, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 10))=k7_xcmplx_0(1, 10)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d11_rn1d11, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 11))=k7_xcmplx_0(1, 11)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d50_rn1d50, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 50))=k7_xcmplx_0(1, 50)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc10_numerals, axiom,  (v2_xxreal_0(10) & m1_subset_1(10, k4_ordinal1)) ).
fof(spc11_numerals, axiom,  (v2_xxreal_0(11) & m1_subset_1(11, 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(spc50_numerals, axiom,  (v2_xxreal_0(50) & m1_subset_1(50, k4_ordinal1)) ).
fof(spc60_numerals, axiom,  (v2_xxreal_0(60) & m1_subset_1(60, k4_ordinal1)) ).
fof(spc610_numerals, axiom,  (v2_xxreal_0(610) & m1_subset_1(610, k4_ordinal1)) ).
fof(spc61_numerals, axiom,  (v2_xxreal_0(61) & m1_subset_1(61, k4_ordinal1)) ).
fof(spc660_numerals, axiom,  (v2_xxreal_0(660) & m1_subset_1(660, k4_ordinal1)) ).
fof(spc670_numerals, axiom,  (v2_xxreal_0(670) & m1_subset_1(670, k4_ordinal1)) ).
fof(spc671_numerals, axiom,  (v2_xxreal_0(671) & m1_subset_1(671, 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) ) ).
