% Mizar problem: t1469_xprimes0,xprimes0,10373,7 
fof(t1469_xprimes0, conjecture,  ~ (v1_int_2(1469)) ).
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_r100_rm100, axiom, k6_xcmplx_0(0, 100)=k4_xcmplx_0(100)).
fof(rqRealDiff__k6_xcmplx_0__r0_r112_rm112, axiom, k6_xcmplx_0(0, 112)=k4_xcmplx_0(112)).
fof(rqRealDiff__k6_xcmplx_0__r0_r113_rm113, axiom, k6_xcmplx_0(0, 113)=k4_xcmplx_0(113)).
fof(rqRealDiff__k6_xcmplx_0__r0_r12_rm12, axiom, k6_xcmplx_0(0, 12)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r0_r13_rm13, axiom, k6_xcmplx_0(0, 13)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1468_rm1468, axiom, k6_xcmplx_0(0, 1468)=k4_xcmplx_0(1468)).
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_rn1d100_rnm1d100, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 100))=k7_xcmplx_0(k4_xcmplx_0(1), 100)).
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__r100_r0_r100, axiom, k6_xcmplx_0(100, 0)=100).
fof(rqRealDiff__k6_xcmplx_0__r100_r100_r0, axiom, k6_xcmplx_0(100, 100)=0).
fof(rqRealDiff__k6_xcmplx_0__r100_r112_rm12, axiom, k6_xcmplx_0(100, 112)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r100_r113_rm13, axiom, k6_xcmplx_0(100, 113)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__r112_r0_r112, axiom, k6_xcmplx_0(112, 0)=112).
fof(rqRealDiff__k6_xcmplx_0__r112_r100_r12, axiom, k6_xcmplx_0(112, 100)=12).
fof(rqRealDiff__k6_xcmplx_0__r112_r112_r0, axiom, k6_xcmplx_0(112, 112)=0).
fof(rqRealDiff__k6_xcmplx_0__r112_r113_rm1, axiom, k6_xcmplx_0(112, 113)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r112_r12_r100, axiom, k6_xcmplx_0(112, 12)=100).
fof(rqRealDiff__k6_xcmplx_0__r113_r0_r113, axiom, k6_xcmplx_0(113, 0)=113).
fof(rqRealDiff__k6_xcmplx_0__r113_r100_r13, axiom, k6_xcmplx_0(113, 100)=13).
fof(rqRealDiff__k6_xcmplx_0__r113_r112_r1, axiom, k6_xcmplx_0(113, 112)=1).
fof(rqRealDiff__k6_xcmplx_0__r113_r113_r0, axiom, k6_xcmplx_0(113, 113)=0).
fof(rqRealDiff__k6_xcmplx_0__r113_r13_r100, axiom, k6_xcmplx_0(113, 13)=100).
fof(rqRealDiff__k6_xcmplx_0__r113_r1_r112, axiom, k6_xcmplx_0(113, 1)=112).
fof(rqRealDiff__k6_xcmplx_0__r113_rn113d13_rn1356d13, axiom, k6_xcmplx_0(113, k7_xcmplx_0(113, 13))=k7_xcmplx_0(1356, 13)).
fof(rqRealDiff__k6_xcmplx_0__r12_r0_r12, axiom, k6_xcmplx_0(12, 0)=12).
fof(rqRealDiff__k6_xcmplx_0__r12_r112_rm100, axiom, k6_xcmplx_0(12, 112)=k4_xcmplx_0(100)).
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__r13_r0_r13, axiom, k6_xcmplx_0(13, 0)=13).
fof(rqRealDiff__k6_xcmplx_0__r13_r113_rm100, axiom, k6_xcmplx_0(13, 113)=k4_xcmplx_0(100)).
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_r1469_rm1456, axiom, k6_xcmplx_0(13, 1469)=k4_xcmplx_0(1456)).
fof(rqRealDiff__k6_xcmplx_0__r13_r1_r12, axiom, k6_xcmplx_0(13, 1)=12).
fof(rqRealDiff__k6_xcmplx_0__r13_rm100_r113, axiom, k6_xcmplx_0(13, k4_xcmplx_0(100))=113).
fof(rqRealDiff__k6_xcmplx_0__r1456_r100_r1356, axiom, k6_xcmplx_0(1456, 100)=1356).
fof(rqRealDiff__k6_xcmplx_0__r1469_r113_r1356, axiom, k6_xcmplx_0(1469, 113)=1356).
fof(rqRealDiff__k6_xcmplx_0__r1469_r13_r1456, axiom, k6_xcmplx_0(1469, 13)=1456).
fof(rqRealDiff__k6_xcmplx_0__r1469_r1_r1468, axiom, k6_xcmplx_0(1469, 1)=1468).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r113_rm112, axiom, k6_xcmplx_0(1, 113)=k4_xcmplx_0(112)).
fof(rqRealDiff__k6_xcmplx_0__r1_r13_rm12, axiom, k6_xcmplx_0(1, 13)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1469_rm1468, axiom, k6_xcmplx_0(1, 1469)=k4_xcmplx_0(1468)).
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__rm100_r0_rm100, axiom, k6_xcmplx_0(k4_xcmplx_0(100), 0)=k4_xcmplx_0(100)).
fof(rqRealDiff__k6_xcmplx_0__rm100_r12_rm112, axiom, k6_xcmplx_0(k4_xcmplx_0(100), 12)=k4_xcmplx_0(112)).
fof(rqRealDiff__k6_xcmplx_0__rm100_rm100_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(100), k4_xcmplx_0(100))=0).
fof(rqRealDiff__k6_xcmplx_0__rm100_rm112_r12, axiom, k6_xcmplx_0(k4_xcmplx_0(100), k4_xcmplx_0(112))=12).
fof(rqRealDiff__k6_xcmplx_0__rm112_r0_rm112, axiom, k6_xcmplx_0(k4_xcmplx_0(112), 0)=k4_xcmplx_0(112)).
fof(rqRealDiff__k6_xcmplx_0__rm112_r1_rm113, axiom, k6_xcmplx_0(k4_xcmplx_0(112), 1)=k4_xcmplx_0(113)).
fof(rqRealDiff__k6_xcmplx_0__rm112_rm100_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(112), k4_xcmplx_0(100))=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm112_rm112_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(112), k4_xcmplx_0(112))=0).
fof(rqRealDiff__k6_xcmplx_0__rm112_rm113_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(112), k4_xcmplx_0(113))=1).
fof(rqRealDiff__k6_xcmplx_0__rm112_rm12_rm100, axiom, k6_xcmplx_0(k4_xcmplx_0(112), k4_xcmplx_0(12))=k4_xcmplx_0(100)).
fof(rqRealDiff__k6_xcmplx_0__rm113_r0_rm113, axiom, k6_xcmplx_0(k4_xcmplx_0(113), 0)=k4_xcmplx_0(113)).
fof(rqRealDiff__k6_xcmplx_0__rm113_rm112_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(113), k4_xcmplx_0(112))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm113_rm113_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(113), k4_xcmplx_0(113))=0).
fof(rqRealDiff__k6_xcmplx_0__rm113_rm13_rm100, axiom, k6_xcmplx_0(k4_xcmplx_0(113), k4_xcmplx_0(13))=k4_xcmplx_0(100)).
fof(rqRealDiff__k6_xcmplx_0__rm113_rm1_rm112, axiom, k6_xcmplx_0(k4_xcmplx_0(113), k4_xcmplx_0(1))=k4_xcmplx_0(112)).
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_r100_rm112, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 100)=k4_xcmplx_0(112)).
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_rm112_r100, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(112))=100).
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__rm13_r0_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(13), 0)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm13_r100_rm113, axiom, k6_xcmplx_0(k4_xcmplx_0(13), 100)=k4_xcmplx_0(113)).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm113_r100, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(113))=100).
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__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_rm113_r112, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(113))=112).
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_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__rn113d13_rn113d13_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(113, 13), k7_xcmplx_0(113, 13))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d100_rn1d100_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 100), k7_xcmplx_0(1, 100))=0).
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__rnm113d13_rm113_rn1356d13, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(113), 13), k4_xcmplx_0(113))=k7_xcmplx_0(1356, 13)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d100_rnm1d100_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 100), k7_xcmplx_0(k4_xcmplx_0(1), 100))=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_r100_rn1d100, axiom, k7_xcmplx_0(1, 100)=k7_xcmplx_0(1, 100)).
fof(rqRealDiv__k7_xcmplx_0__r1_r113_rn1d113, axiom, k7_xcmplx_0(1, 113)=k7_xcmplx_0(1, 113)).
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_rm100_rnm1d100, axiom, k7_xcmplx_0(1, k4_xcmplx_0(100))=k7_xcmplx_0(k4_xcmplx_0(1), 100)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm113_rnm1d113, axiom, k7_xcmplx_0(1, k4_xcmplx_0(113))=k7_xcmplx_0(k4_xcmplx_0(1), 113)).
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_rm1_rm1, axiom, k7_xcmplx_0(1, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d100_rm100, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 100))=k4_xcmplx_0(100)).
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_r100_r0, axiom, k3_xcmplx_0(0, 100)=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__r100_r0_r0, axiom, k3_xcmplx_0(100, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r100_r1_r100, axiom, k3_xcmplx_0(100, 1)=100).
fof(rqRealMult__k3_xcmplx_0__r100_rn1d100_r1, axiom, k3_xcmplx_0(100, k7_xcmplx_0(1, 100))=1).
fof(rqRealMult__k3_xcmplx_0__r100_rnm1d100_rm1, axiom, k3_xcmplx_0(100, k7_xcmplx_0(k4_xcmplx_0(1), 100))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r112_r13_r1456, axiom, k3_xcmplx_0(112, 13)=1456).
fof(rqRealMult__k3_xcmplx_0__r112_r1_r112, axiom, k3_xcmplx_0(112, 1)=112).
fof(rqRealMult__k3_xcmplx_0__r113_r13_r1469, axiom, k3_xcmplx_0(113, 13)=1469).
fof(rqRealMult__k3_xcmplx_0__r113_r1_r113, axiom, k3_xcmplx_0(113, 1)=113).
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_rm113_rm1356, axiom, k3_xcmplx_0(12, k4_xcmplx_0(113))=k4_xcmplx_0(1356)).
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_rnm113d13_rnm1356d13, axiom, k3_xcmplx_0(12, k7_xcmplx_0(k4_xcmplx_0(113), 13))=k7_xcmplx_0(k4_xcmplx_0(1356), 13)).
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__r13_r0_r0, axiom, k3_xcmplx_0(13, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r13_r112_r1456, axiom, k3_xcmplx_0(13, 112)=1456).
fof(rqRealMult__k3_xcmplx_0__r13_r113_r1469, axiom, k3_xcmplx_0(13, 113)=1469).
fof(rqRealMult__k3_xcmplx_0__r13_r1_r13, axiom, k3_xcmplx_0(13, 1)=13).
fof(rqRealMult__k3_xcmplx_0__r13_rnm113d13_rm113, axiom, k3_xcmplx_0(13, k7_xcmplx_0(k4_xcmplx_0(113), 13))=k4_xcmplx_0(113)).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r100_r100, axiom, k3_xcmplx_0(1, 100)=100).
fof(rqRealMult__k3_xcmplx_0__r1_r112_r112, axiom, k3_xcmplx_0(1, 112)=112).
fof(rqRealMult__k3_xcmplx_0__r1_r113_r113, axiom, k3_xcmplx_0(1, 113)=113).
fof(rqRealMult__k3_xcmplx_0__r1_r12_r12, axiom, k3_xcmplx_0(1, 12)=12).
fof(rqRealMult__k3_xcmplx_0__r1_r13_r13, axiom, k3_xcmplx_0(1, 13)=13).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_rm100_rm100, axiom, k3_xcmplx_0(1, k4_xcmplx_0(100))=k4_xcmplx_0(100)).
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__rm100_r1_rm100, axiom, k3_xcmplx_0(k4_xcmplx_0(100), 1)=k4_xcmplx_0(100)).
fof(rqRealMult__k3_xcmplx_0__rm100_rn1d100_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(100), k7_xcmplx_0(1, 100))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm100_rnm1d100_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(100), k7_xcmplx_0(k4_xcmplx_0(1), 100))=1).
fof(rqRealMult__k3_xcmplx_0__rm113_r1_rm113, axiom, k3_xcmplx_0(k4_xcmplx_0(113), 1)=k4_xcmplx_0(113)).
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__rm13_r1_rm13, axiom, k3_xcmplx_0(k4_xcmplx_0(13), 1)=k4_xcmplx_0(13)).
fof(rqRealMult__k3_xcmplx_0__rm13_rm113_r1469, axiom, k3_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(113))=1469).
fof(rqRealMult__k3_xcmplx_0__rm13_rnm113d13_r113, axiom, k3_xcmplx_0(k4_xcmplx_0(13), k7_xcmplx_0(k4_xcmplx_0(113), 13))=113).
fof(rqRealMult__k3_xcmplx_0__rn1d100_r100_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 100), 100)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d100_r1_rn1d100, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 100), 1)=k7_xcmplx_0(1, 100)).
fof(rqRealMult__k3_xcmplx_0__rn1d113_r113_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 113), 113)=1).
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__rnm1d100_r100_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 100), 100)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d100_r1_rnm1d100, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 100), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 100)).
fof(rqRealMult__k3_xcmplx_0__rnm1d100_rm100_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 100), k4_xcmplx_0(100))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d113_rm113_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 113), k4_xcmplx_0(113))=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_r113_rnm113d13, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 13), 113)=k7_xcmplx_0(k4_xcmplx_0(113), 13)).
fof(rqRealMult__k3_xcmplx_0__rnm1d13_r1469_rm113, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 13), 1469)=k4_xcmplx_0(113)).
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(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r100_rm100, axiom, k4_xcmplx_0(100)=k4_xcmplx_0(100)).
fof(rqRealNeg__k4_xcmplx_0__r112_rm112, axiom, k4_xcmplx_0(112)=k4_xcmplx_0(112)).
fof(rqRealNeg__k4_xcmplx_0__r113_rm113, axiom, k4_xcmplx_0(113)=k4_xcmplx_0(113)).
fof(rqRealNeg__k4_xcmplx_0__r12_rm12, axiom, k4_xcmplx_0(12)=k4_xcmplx_0(12)).
fof(rqRealNeg__k4_xcmplx_0__r13_rm13, axiom, k4_xcmplx_0(13)=k4_xcmplx_0(13)).
fof(rqRealNeg__k4_xcmplx_0__r1456_rm1456, axiom, k4_xcmplx_0(1456)=k4_xcmplx_0(1456)).
fof(rqRealNeg__k4_xcmplx_0__r1468_rm1468, axiom, k4_xcmplx_0(1468)=k4_xcmplx_0(1468)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__rm100_r100, axiom, k4_xcmplx_0(k4_xcmplx_0(100))=100).
fof(rqRealNeg__k4_xcmplx_0__rm112_r112, axiom, k4_xcmplx_0(k4_xcmplx_0(112))=112).
fof(rqRealNeg__k4_xcmplx_0__rm113_r113, axiom, k4_xcmplx_0(k4_xcmplx_0(113))=113).
fof(rqRealNeg__k4_xcmplx_0__rm12_r12, axiom, k4_xcmplx_0(k4_xcmplx_0(12))=12).
fof(rqRealNeg__k4_xcmplx_0__rm1356_r1356, axiom, k4_xcmplx_0(k4_xcmplx_0(1356))=1356).
fof(rqRealNeg__k4_xcmplx_0__rm13_r13, axiom, k4_xcmplx_0(k4_xcmplx_0(13))=13).
fof(rqRealNeg__k4_xcmplx_0__rm1468_r1468, axiom, k4_xcmplx_0(k4_xcmplx_0(1468))=1468).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rn113d13_rnm113d13, axiom, k4_xcmplx_0(k7_xcmplx_0(113, 13))=k7_xcmplx_0(k4_xcmplx_0(113), 13)).
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__rn1d100_rnm1d100, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 100))=k7_xcmplx_0(k4_xcmplx_0(1), 100)).
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__rnm113d13_rn113d13, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(113), 13))=k7_xcmplx_0(113, 13)).
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__rnm1356d13_rn1356d13, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1356), 13))=k7_xcmplx_0(1356, 13)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d100_rn1d100, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 100))=k7_xcmplx_0(1, 100)).
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(spc100_numerals, axiom,  (v2_xxreal_0(100) & m1_subset_1(100, k4_ordinal1)) ).
fof(spc112_numerals, axiom,  (v2_xxreal_0(112) & m1_subset_1(112, k4_ordinal1)) ).
fof(spc113_numerals, axiom,  (v2_xxreal_0(113) & m1_subset_1(113, k4_ordinal1)) ).
fof(spc12_numerals, axiom,  (v2_xxreal_0(12) & m1_subset_1(12, k4_ordinal1)) ).
fof(spc1356_numerals, axiom,  (v2_xxreal_0(1356) & m1_subset_1(1356, k4_ordinal1)) ).
fof(spc13_numerals, axiom,  (v2_xxreal_0(13) & m1_subset_1(13, k4_ordinal1)) ).
fof(spc1456_numerals, axiom,  (v2_xxreal_0(1456) & m1_subset_1(1456, k4_ordinal1)) ).
fof(spc1468_numerals, axiom,  (v2_xxreal_0(1468) & m1_subset_1(1468, k4_ordinal1)) ).
fof(spc1469_numerals, axiom,  (v2_xxreal_0(1469) & m1_subset_1(1469, 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) ) ).
