% Mizar problem: t113_xprimes1,xprimes1,467,5 
fof(t113_xprimes1, conjecture, v1_int_2(113)).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc2_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(A)) ) ).
fof(cc2_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_xxreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xxreal_0(A)) ) ).
fof(cc3_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_0(A)) ) ).
fof(cc3_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(cc3_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v2_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc4_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v2_int_1(A)) ) ).
fof(cc4_nat_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v2_xxreal_0(A)) ) ) ) ).
fof(cc4_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_ordinal1(A)) ) ).
fof(cc4_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ) ).
fof(cc5_int_1, axiom,  (! [A] :  (v2_int_1(A) => v1_int_1(A)) ) ).
fof(cc5_nat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v8_ordinal1(A)) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(cc5_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v3_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) ) ) ) ).
fof(cc6_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc6_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc7_xxreal_0, axiom,  (! [A] :  ( (v8_ordinal1(A) & v1_xxreal_0(A))  =>  (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc8_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) )  =>  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(commutativity_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k1_nat_1(B, A)) ) ).
fof(commutativity_k2_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => k2_nat_1(A, B)=k2_nat_1(B, A)) ) ).
fof(commutativity_k2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, B)=k2_xcmplx_0(B, A)) ) ).
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(connectedness_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  =>  (r1_xxreal_0(A, B) | r1_xxreal_0(B, A)) ) ) ).
fof(dt_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k1_nat_1(A, B), k4_ordinal1)) ) ).
fof(dt_k2_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k2_nat_1(A, B), k4_ordinal1)) ) ).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc1_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc2_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k3_xcmplx_0(A, B))) ) ).
fof(fc3_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(A, B))) ) ) ).
fof(fc4_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(B, A))) ) ) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc7_int_1, axiom,  (! [A] :  (v2_int_1(A) => v7_ordinal1(k2_xcmplx_0(A, 1))) ) ).
fof(fc8_int_1, axiom,  (! [A, B] :  ( (v2_int_1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc1_int_1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_int_1(A)) ) ) ) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc2_int_1, axiom,  (? [A] : v1_int_1(A)) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc3_int_1, axiom,  (? [A] : v2_int_1(A)) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ).
fof(rc4_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_xxreal_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(redefinition_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k2_xcmplx_0(A, B)) ) ).
fof(redefinition_k2_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => k2_nat_1(A, B)=k3_xcmplx_0(A, B)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
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(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(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(reflexivity_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => r1_xxreal_0(A, A)) ) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_r0, axiom, r1_xxreal_0(0, 0)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r1, axiom, r1_xxreal_0(0, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r110, axiom, r1_xxreal_0(0, 110)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r111, axiom, r1_xxreal_0(0, 111)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r112, axiom, r1_xxreal_0(0, 112)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r113, axiom, r1_xxreal_0(0, 113)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r121, axiom, r1_xxreal_0(0, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r16, axiom, r1_xxreal_0(0, 16)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r2, axiom, r1_xxreal_0(0, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r22, axiom, r1_xxreal_0(0, 22)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r3, axiom, r1_xxreal_0(0, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r37, axiom, r1_xxreal_0(0, 37)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r5, axiom, r1_xxreal_0(0, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r56, axiom, r1_xxreal_0(0, 56)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r7, axiom, r1_xxreal_0(0, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r110_r0, axiom,  ~ (r1_xxreal_0(110, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r110_r1, axiom,  ~ (r1_xxreal_0(110, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r110_r110, axiom, r1_xxreal_0(110, 110)).
fof(rqLessOrEqual__r1_xxreal_0__r110_r111, axiom, r1_xxreal_0(110, 111)).
fof(rqLessOrEqual__r1_xxreal_0__r110_r112, axiom, r1_xxreal_0(110, 112)).
fof(rqLessOrEqual__r1_xxreal_0__r110_r113, axiom, r1_xxreal_0(110, 113)).
fof(rqLessOrEqual__r1_xxreal_0__r110_r121, axiom, r1_xxreal_0(110, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r110_r16, axiom,  ~ (r1_xxreal_0(110, 16)) ).
fof(rqLessOrEqual__r1_xxreal_0__r110_r2, axiom,  ~ (r1_xxreal_0(110, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r110_r22, axiom,  ~ (r1_xxreal_0(110, 22)) ).
fof(rqLessOrEqual__r1_xxreal_0__r110_r3, axiom,  ~ (r1_xxreal_0(110, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r110_r37, axiom,  ~ (r1_xxreal_0(110, 37)) ).
fof(rqLessOrEqual__r1_xxreal_0__r110_r5, axiom,  ~ (r1_xxreal_0(110, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r110_r56, axiom,  ~ (r1_xxreal_0(110, 56)) ).
fof(rqLessOrEqual__r1_xxreal_0__r110_r7, axiom,  ~ (r1_xxreal_0(110, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r111_r0, axiom,  ~ (r1_xxreal_0(111, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r111_r1, axiom,  ~ (r1_xxreal_0(111, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r111_r110, axiom,  ~ (r1_xxreal_0(111, 110)) ).
fof(rqLessOrEqual__r1_xxreal_0__r111_r111, axiom, r1_xxreal_0(111, 111)).
fof(rqLessOrEqual__r1_xxreal_0__r111_r112, axiom, r1_xxreal_0(111, 112)).
fof(rqLessOrEqual__r1_xxreal_0__r111_r113, axiom, r1_xxreal_0(111, 113)).
fof(rqLessOrEqual__r1_xxreal_0__r111_r121, axiom, r1_xxreal_0(111, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r111_r16, axiom,  ~ (r1_xxreal_0(111, 16)) ).
fof(rqLessOrEqual__r1_xxreal_0__r111_r2, axiom,  ~ (r1_xxreal_0(111, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r111_r22, axiom,  ~ (r1_xxreal_0(111, 22)) ).
fof(rqLessOrEqual__r1_xxreal_0__r111_r3, axiom,  ~ (r1_xxreal_0(111, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r111_r37, axiom,  ~ (r1_xxreal_0(111, 37)) ).
fof(rqLessOrEqual__r1_xxreal_0__r111_r5, axiom,  ~ (r1_xxreal_0(111, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r111_r56, axiom,  ~ (r1_xxreal_0(111, 56)) ).
fof(rqLessOrEqual__r1_xxreal_0__r111_r7, axiom,  ~ (r1_xxreal_0(111, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r112_r0, axiom,  ~ (r1_xxreal_0(112, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r112_r1, axiom,  ~ (r1_xxreal_0(112, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r112_r110, axiom,  ~ (r1_xxreal_0(112, 110)) ).
fof(rqLessOrEqual__r1_xxreal_0__r112_r111, axiom,  ~ (r1_xxreal_0(112, 111)) ).
fof(rqLessOrEqual__r1_xxreal_0__r112_r112, axiom, r1_xxreal_0(112, 112)).
fof(rqLessOrEqual__r1_xxreal_0__r112_r113, axiom, r1_xxreal_0(112, 113)).
fof(rqLessOrEqual__r1_xxreal_0__r112_r121, axiom, r1_xxreal_0(112, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r112_r16, axiom,  ~ (r1_xxreal_0(112, 16)) ).
fof(rqLessOrEqual__r1_xxreal_0__r112_r2, axiom,  ~ (r1_xxreal_0(112, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r112_r3, axiom,  ~ (r1_xxreal_0(112, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r112_r37, axiom,  ~ (r1_xxreal_0(112, 37)) ).
fof(rqLessOrEqual__r1_xxreal_0__r112_r5, axiom,  ~ (r1_xxreal_0(112, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r112_r56, axiom,  ~ (r1_xxreal_0(112, 56)) ).
fof(rqLessOrEqual__r1_xxreal_0__r112_r7, axiom,  ~ (r1_xxreal_0(112, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r113_r0, axiom,  ~ (r1_xxreal_0(113, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r113_r1, axiom,  ~ (r1_xxreal_0(113, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r113_r110, axiom,  ~ (r1_xxreal_0(113, 110)) ).
fof(rqLessOrEqual__r1_xxreal_0__r113_r111, axiom,  ~ (r1_xxreal_0(113, 111)) ).
fof(rqLessOrEqual__r1_xxreal_0__r113_r112, axiom,  ~ (r1_xxreal_0(113, 112)) ).
fof(rqLessOrEqual__r1_xxreal_0__r113_r113, axiom, r1_xxreal_0(113, 113)).
fof(rqLessOrEqual__r1_xxreal_0__r113_r121, axiom, r1_xxreal_0(113, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r113_r16, axiom,  ~ (r1_xxreal_0(113, 16)) ).
fof(rqLessOrEqual__r1_xxreal_0__r113_r2, axiom,  ~ (r1_xxreal_0(113, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r113_r22, axiom,  ~ (r1_xxreal_0(113, 22)) ).
fof(rqLessOrEqual__r1_xxreal_0__r113_r3, axiom,  ~ (r1_xxreal_0(113, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r113_r37, axiom,  ~ (r1_xxreal_0(113, 37)) ).
fof(rqLessOrEqual__r1_xxreal_0__r113_r5, axiom,  ~ (r1_xxreal_0(113, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r113_r56, axiom,  ~ (r1_xxreal_0(113, 56)) ).
fof(rqLessOrEqual__r1_xxreal_0__r113_r7, axiom,  ~ (r1_xxreal_0(113, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r0, axiom,  ~ (r1_xxreal_0(121, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r1, axiom,  ~ (r1_xxreal_0(121, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r111, axiom,  ~ (r1_xxreal_0(121, 111)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r112, axiom,  ~ (r1_xxreal_0(121, 112)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r113, axiom,  ~ (r1_xxreal_0(121, 113)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r121, axiom, r1_xxreal_0(121, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r121_r16, axiom,  ~ (r1_xxreal_0(121, 16)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r2, axiom,  ~ (r1_xxreal_0(121, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r3, axiom,  ~ (r1_xxreal_0(121, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r37, axiom,  ~ (r1_xxreal_0(121, 37)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r5, axiom,  ~ (r1_xxreal_0(121, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r56, axiom,  ~ (r1_xxreal_0(121, 56)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r7, axiom,  ~ (r1_xxreal_0(121, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r16_r0, axiom,  ~ (r1_xxreal_0(16, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r16_r1, axiom,  ~ (r1_xxreal_0(16, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r16_r110, axiom, r1_xxreal_0(16, 110)).
fof(rqLessOrEqual__r1_xxreal_0__r16_r111, axiom, r1_xxreal_0(16, 111)).
fof(rqLessOrEqual__r1_xxreal_0__r16_r112, axiom, r1_xxreal_0(16, 112)).
fof(rqLessOrEqual__r1_xxreal_0__r16_r113, axiom, r1_xxreal_0(16, 113)).
fof(rqLessOrEqual__r1_xxreal_0__r16_r121, axiom, r1_xxreal_0(16, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r16_r16, axiom, r1_xxreal_0(16, 16)).
fof(rqLessOrEqual__r1_xxreal_0__r16_r2, axiom,  ~ (r1_xxreal_0(16, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r16_r22, axiom, r1_xxreal_0(16, 22)).
fof(rqLessOrEqual__r1_xxreal_0__r16_r3, axiom,  ~ (r1_xxreal_0(16, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r16_r37, axiom, r1_xxreal_0(16, 37)).
fof(rqLessOrEqual__r1_xxreal_0__r16_r5, axiom,  ~ (r1_xxreal_0(16, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r16_r56, axiom, r1_xxreal_0(16, 56)).
fof(rqLessOrEqual__r1_xxreal_0__r16_r7, axiom,  ~ (r1_xxreal_0(16, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r0, axiom,  ~ (r1_xxreal_0(1, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(1, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r110, axiom, r1_xxreal_0(1, 110)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r111, axiom, r1_xxreal_0(1, 111)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r112, axiom, r1_xxreal_0(1, 112)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r113, axiom, r1_xxreal_0(1, 113)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r121, axiom, r1_xxreal_0(1, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r16, axiom, r1_xxreal_0(1, 16)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(1, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r22, axiom, r1_xxreal_0(1, 22)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r3, axiom, r1_xxreal_0(1, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r37, axiom, r1_xxreal_0(1, 37)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r5, axiom, r1_xxreal_0(1, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r56, axiom, r1_xxreal_0(1, 56)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r7, axiom, r1_xxreal_0(1, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r22_r0, axiom,  ~ (r1_xxreal_0(22, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r22_r1, axiom,  ~ (r1_xxreal_0(22, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r22_r110, axiom, r1_xxreal_0(22, 110)).
fof(rqLessOrEqual__r1_xxreal_0__r22_r111, axiom, r1_xxreal_0(22, 111)).
fof(rqLessOrEqual__r1_xxreal_0__r22_r112, axiom, r1_xxreal_0(22, 112)).
fof(rqLessOrEqual__r1_xxreal_0__r22_r113, axiom, r1_xxreal_0(22, 113)).
fof(rqLessOrEqual__r1_xxreal_0__r22_r121, axiom, r1_xxreal_0(22, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r22_r16, axiom,  ~ (r1_xxreal_0(22, 16)) ).
fof(rqLessOrEqual__r1_xxreal_0__r22_r2, axiom,  ~ (r1_xxreal_0(22, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r22_r22, axiom, r1_xxreal_0(22, 22)).
fof(rqLessOrEqual__r1_xxreal_0__r22_r3, axiom,  ~ (r1_xxreal_0(22, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r22_r37, axiom, r1_xxreal_0(22, 37)).
fof(rqLessOrEqual__r1_xxreal_0__r22_r5, axiom,  ~ (r1_xxreal_0(22, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r22_r56, axiom, r1_xxreal_0(22, 56)).
fof(rqLessOrEqual__r1_xxreal_0__r22_r7, axiom,  ~ (r1_xxreal_0(22, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r0, axiom,  ~ (r1_xxreal_0(2, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r1, axiom,  ~ (r1_xxreal_0(2, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r110, axiom, r1_xxreal_0(2, 110)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r111, axiom, r1_xxreal_0(2, 111)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r112, axiom, r1_xxreal_0(2, 112)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r113, axiom, r1_xxreal_0(2, 113)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r121, axiom, r1_xxreal_0(2, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r16, axiom, r1_xxreal_0(2, 16)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom, r1_xxreal_0(2, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r22, axiom, r1_xxreal_0(2, 22)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r3, axiom, r1_xxreal_0(2, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r37, axiom, r1_xxreal_0(2, 37)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r5, axiom, r1_xxreal_0(2, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r56, axiom, r1_xxreal_0(2, 56)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r7, axiom, r1_xxreal_0(2, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r37_r0, axiom,  ~ (r1_xxreal_0(37, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r37_r1, axiom,  ~ (r1_xxreal_0(37, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r37_r110, axiom, r1_xxreal_0(37, 110)).
fof(rqLessOrEqual__r1_xxreal_0__r37_r111, axiom, r1_xxreal_0(37, 111)).
fof(rqLessOrEqual__r1_xxreal_0__r37_r112, axiom, r1_xxreal_0(37, 112)).
fof(rqLessOrEqual__r1_xxreal_0__r37_r113, axiom, r1_xxreal_0(37, 113)).
fof(rqLessOrEqual__r1_xxreal_0__r37_r121, axiom, r1_xxreal_0(37, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r37_r16, axiom,  ~ (r1_xxreal_0(37, 16)) ).
fof(rqLessOrEqual__r1_xxreal_0__r37_r2, axiom,  ~ (r1_xxreal_0(37, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r37_r22, axiom,  ~ (r1_xxreal_0(37, 22)) ).
fof(rqLessOrEqual__r1_xxreal_0__r37_r3, axiom,  ~ (r1_xxreal_0(37, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r37_r37, axiom, r1_xxreal_0(37, 37)).
fof(rqLessOrEqual__r1_xxreal_0__r37_r5, axiom,  ~ (r1_xxreal_0(37, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r37_r56, axiom, r1_xxreal_0(37, 56)).
fof(rqLessOrEqual__r1_xxreal_0__r37_r7, axiom,  ~ (r1_xxreal_0(37, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r0, axiom,  ~ (r1_xxreal_0(3, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r1, axiom,  ~ (r1_xxreal_0(3, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r110, axiom, r1_xxreal_0(3, 110)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r111, axiom, r1_xxreal_0(3, 111)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r112, axiom, r1_xxreal_0(3, 112)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r113, axiom, r1_xxreal_0(3, 113)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r121, axiom, r1_xxreal_0(3, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r16, axiom, r1_xxreal_0(3, 16)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r2, axiom,  ~ (r1_xxreal_0(3, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r22, axiom, r1_xxreal_0(3, 22)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r3, axiom, r1_xxreal_0(3, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r37, axiom, r1_xxreal_0(3, 37)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r5, axiom, r1_xxreal_0(3, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r56, axiom, r1_xxreal_0(3, 56)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r7, axiom, r1_xxreal_0(3, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r56_r0, axiom,  ~ (r1_xxreal_0(56, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r56_r1, axiom,  ~ (r1_xxreal_0(56, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r56_r110, axiom, r1_xxreal_0(56, 110)).
fof(rqLessOrEqual__r1_xxreal_0__r56_r111, axiom, r1_xxreal_0(56, 111)).
fof(rqLessOrEqual__r1_xxreal_0__r56_r112, axiom, r1_xxreal_0(56, 112)).
fof(rqLessOrEqual__r1_xxreal_0__r56_r113, axiom, r1_xxreal_0(56, 113)).
fof(rqLessOrEqual__r1_xxreal_0__r56_r121, axiom, r1_xxreal_0(56, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r56_r16, axiom,  ~ (r1_xxreal_0(56, 16)) ).
fof(rqLessOrEqual__r1_xxreal_0__r56_r2, axiom,  ~ (r1_xxreal_0(56, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r56_r22, axiom,  ~ (r1_xxreal_0(56, 22)) ).
fof(rqLessOrEqual__r1_xxreal_0__r56_r3, axiom,  ~ (r1_xxreal_0(56, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r56_r37, axiom,  ~ (r1_xxreal_0(56, 37)) ).
fof(rqLessOrEqual__r1_xxreal_0__r56_r5, axiom,  ~ (r1_xxreal_0(56, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r56_r56, axiom, r1_xxreal_0(56, 56)).
fof(rqLessOrEqual__r1_xxreal_0__r56_r7, axiom,  ~ (r1_xxreal_0(56, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r0, axiom,  ~ (r1_xxreal_0(5, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r1, axiom,  ~ (r1_xxreal_0(5, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r110, axiom, r1_xxreal_0(5, 110)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r111, axiom, r1_xxreal_0(5, 111)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r112, axiom, r1_xxreal_0(5, 112)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r113, axiom, r1_xxreal_0(5, 113)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r121, axiom, r1_xxreal_0(5, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r16, axiom, r1_xxreal_0(5, 16)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r2, axiom,  ~ (r1_xxreal_0(5, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r22, axiom, r1_xxreal_0(5, 22)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r3, axiom,  ~ (r1_xxreal_0(5, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r37, axiom, r1_xxreal_0(5, 37)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r5, axiom, r1_xxreal_0(5, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r56, axiom, r1_xxreal_0(5, 56)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r7, axiom, r1_xxreal_0(5, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r0, axiom,  ~ (r1_xxreal_0(7, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r1, axiom,  ~ (r1_xxreal_0(7, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r110, axiom, r1_xxreal_0(7, 110)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r111, axiom, r1_xxreal_0(7, 111)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r112, axiom, r1_xxreal_0(7, 112)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r113, axiom, r1_xxreal_0(7, 113)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r121, axiom, r1_xxreal_0(7, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r16, axiom, r1_xxreal_0(7, 16)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r2, axiom,  ~ (r1_xxreal_0(7, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r22, axiom, r1_xxreal_0(7, 22)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r3, axiom,  ~ (r1_xxreal_0(7, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r37, axiom, r1_xxreal_0(7, 37)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r5, axiom,  ~ (r1_xxreal_0(7, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r56, axiom, r1_xxreal_0(7, 56)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r7, axiom, r1_xxreal_0(7, 7)).
fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, k2_xcmplx_0(0, 0)=0).
fof(rqRealAdd__k2_xcmplx_0__r0_r112_r112, axiom, k2_xcmplx_0(0, 112)=112).
fof(rqRealAdd__k2_xcmplx_0__r0_r16_r16, axiom, k2_xcmplx_0(0, 16)=16).
fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, k2_xcmplx_0(0, 1)=1).
fof(rqRealAdd__k2_xcmplx_0__r0_r22_r22, axiom, k2_xcmplx_0(0, 22)=22).
fof(rqRealAdd__k2_xcmplx_0__r0_r2_r2, axiom, k2_xcmplx_0(0, 2)=2).
fof(rqRealAdd__k2_xcmplx_0__r0_r3_r3, axiom, k2_xcmplx_0(0, 3)=3).
fof(rqRealAdd__k2_xcmplx_0__r0_r56_r56, axiom, k2_xcmplx_0(0, 56)=56).
fof(rqRealAdd__k2_xcmplx_0__r0_r5_r5, axiom, k2_xcmplx_0(0, 5)=5).
fof(rqRealAdd__k2_xcmplx_0__r0_r7_r7, axiom, k2_xcmplx_0(0, 7)=7).
fof(rqRealAdd__k2_xcmplx_0__r110_r1_r111, axiom, k2_xcmplx_0(110, 1)=111).
fof(rqRealAdd__k2_xcmplx_0__r110_r3_r113, axiom, k2_xcmplx_0(110, 3)=113).
fof(rqRealAdd__k2_xcmplx_0__r111_r1_r112, axiom, k2_xcmplx_0(111, 1)=112).
fof(rqRealAdd__k2_xcmplx_0__r111_r2_r113, axiom, k2_xcmplx_0(111, 2)=113).
fof(rqRealAdd__k2_xcmplx_0__r112_r0_r112, axiom, k2_xcmplx_0(112, 0)=112).
fof(rqRealAdd__k2_xcmplx_0__r112_r1_r113, axiom, k2_xcmplx_0(112, 1)=113).
fof(rqRealAdd__k2_xcmplx_0__r16_r0_r16, axiom, k2_xcmplx_0(16, 0)=16).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(1, 0)=1).
fof(rqRealAdd__k2_xcmplx_0__r1_r110_r111, axiom, k2_xcmplx_0(1, 110)=111).
fof(rqRealAdd__k2_xcmplx_0__r1_r111_r112, axiom, k2_xcmplx_0(1, 111)=112).
fof(rqRealAdd__k2_xcmplx_0__r1_r112_r113, axiom, k2_xcmplx_0(1, 112)=113).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(1, 1)=2).
fof(rqRealAdd__k2_xcmplx_0__r1_r2_r3, axiom, k2_xcmplx_0(1, 2)=3).
fof(rqRealAdd__k2_xcmplx_0__r22_r0_r22, axiom, k2_xcmplx_0(22, 0)=22).
fof(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom, k2_xcmplx_0(2, 0)=2).
fof(rqRealAdd__k2_xcmplx_0__r2_r110_r112, axiom, k2_xcmplx_0(2, 110)=112).
fof(rqRealAdd__k2_xcmplx_0__r2_r111_r113, axiom, k2_xcmplx_0(2, 111)=113).
fof(rqRealAdd__k2_xcmplx_0__r2_r1_r3, axiom, k2_xcmplx_0(2, 1)=3).
fof(rqRealAdd__k2_xcmplx_0__r2_r3_r5, axiom, k2_xcmplx_0(2, 3)=5).
fof(rqRealAdd__k2_xcmplx_0__r2_r5_r7, axiom, k2_xcmplx_0(2, 5)=7).
fof(rqRealAdd__k2_xcmplx_0__r3_r0_r3, axiom, k2_xcmplx_0(3, 0)=3).
fof(rqRealAdd__k2_xcmplx_0__r3_r110_r113, axiom, k2_xcmplx_0(3, 110)=113).
fof(rqRealAdd__k2_xcmplx_0__r3_r2_r5, axiom, k2_xcmplx_0(3, 2)=5).
fof(rqRealAdd__k2_xcmplx_0__r56_r0_r56, axiom, k2_xcmplx_0(56, 0)=56).
fof(rqRealAdd__k2_xcmplx_0__r56_r56_r112, axiom, k2_xcmplx_0(56, 56)=112).
fof(rqRealAdd__k2_xcmplx_0__r5_r0_r5, axiom, k2_xcmplx_0(5, 0)=5).
fof(rqRealAdd__k2_xcmplx_0__r5_r2_r7, axiom, k2_xcmplx_0(5, 2)=7).
fof(rqRealAdd__k2_xcmplx_0__r7_r0_r7, axiom, k2_xcmplx_0(7, 0)=7).
fof(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, k3_xcmplx_0(0, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r110_r0, axiom, k3_xcmplx_0(0, 110)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r111_r0, axiom, k3_xcmplx_0(0, 111)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r16_r0, axiom, k3_xcmplx_0(0, 16)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r22_r0, axiom, k3_xcmplx_0(0, 22)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r2_r0, axiom, k3_xcmplx_0(0, 2)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r3_r0, axiom, k3_xcmplx_0(0, 3)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r5_r0, axiom, k3_xcmplx_0(0, 5)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r7_r0, axiom, k3_xcmplx_0(0, 7)=0).
fof(rqRealMult__k3_xcmplx_0__r110_r0_r0, axiom, k3_xcmplx_0(110, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r110_r1_r110, axiom, k3_xcmplx_0(110, 1)=110).
fof(rqRealMult__k3_xcmplx_0__r111_r0_r0, axiom, k3_xcmplx_0(111, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r111_r1_r111, axiom, k3_xcmplx_0(111, 1)=111).
fof(rqRealMult__k3_xcmplx_0__r112_r1_r112, axiom, k3_xcmplx_0(112, 1)=112).
fof(rqRealMult__k3_xcmplx_0__r113_r1_r113, axiom, k3_xcmplx_0(113, 1)=113).
fof(rqRealMult__k3_xcmplx_0__r121_r1_r121, axiom, k3_xcmplx_0(121, 1)=121).
fof(rqRealMult__k3_xcmplx_0__r16_r0_r0, axiom, k3_xcmplx_0(16, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r16_r1_r16, axiom, k3_xcmplx_0(16, 1)=16).
fof(rqRealMult__k3_xcmplx_0__r16_r7_r112, axiom, k3_xcmplx_0(16, 7)=112).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r110_r110, axiom, k3_xcmplx_0(1, 110)=110).
fof(rqRealMult__k3_xcmplx_0__r1_r111_r111, axiom, k3_xcmplx_0(1, 111)=111).
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_r121_r121, axiom, k3_xcmplx_0(1, 121)=121).
fof(rqRealMult__k3_xcmplx_0__r1_r16_r16, axiom, k3_xcmplx_0(1, 16)=16).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r22_r22, axiom, k3_xcmplx_0(1, 22)=22).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_r37_r37, axiom, k3_xcmplx_0(1, 37)=37).
fof(rqRealMult__k3_xcmplx_0__r1_r3_r3, axiom, k3_xcmplx_0(1, 3)=3).
fof(rqRealMult__k3_xcmplx_0__r1_r56_r56, axiom, k3_xcmplx_0(1, 56)=56).
fof(rqRealMult__k3_xcmplx_0__r1_r5_r5, axiom, k3_xcmplx_0(1, 5)=5).
fof(rqRealMult__k3_xcmplx_0__r1_r7_r7, axiom, k3_xcmplx_0(1, 7)=7).
fof(rqRealMult__k3_xcmplx_0__r22_r0_r0, axiom, k3_xcmplx_0(22, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r22_r1_r22, axiom, k3_xcmplx_0(22, 1)=22).
fof(rqRealMult__k3_xcmplx_0__r22_r5_r110, axiom, k3_xcmplx_0(22, 5)=110).
fof(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom, k3_xcmplx_0(2, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(rqRealMult__k3_xcmplx_0__r2_r56_r112, axiom, k3_xcmplx_0(2, 56)=112).
fof(rqRealMult__k3_xcmplx_0__r37_r1_r37, axiom, k3_xcmplx_0(37, 1)=37).
fof(rqRealMult__k3_xcmplx_0__r37_r3_r111, axiom, k3_xcmplx_0(37, 3)=111).
fof(rqRealMult__k3_xcmplx_0__r3_r0_r0, axiom, k3_xcmplx_0(3, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r3_r1_r3, axiom, k3_xcmplx_0(3, 1)=3).
fof(rqRealMult__k3_xcmplx_0__r3_r37_r111, axiom, k3_xcmplx_0(3, 37)=111).
fof(rqRealMult__k3_xcmplx_0__r56_r1_r56, axiom, k3_xcmplx_0(56, 1)=56).
fof(rqRealMult__k3_xcmplx_0__r56_r2_r112, axiom, k3_xcmplx_0(56, 2)=112).
fof(rqRealMult__k3_xcmplx_0__r5_r0_r0, axiom, k3_xcmplx_0(5, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r5_r1_r5, axiom, k3_xcmplx_0(5, 1)=5).
fof(rqRealMult__k3_xcmplx_0__r5_r22_r110, axiom, k3_xcmplx_0(5, 22)=110).
fof(rqRealMult__k3_xcmplx_0__r7_r0_r0, axiom, k3_xcmplx_0(7, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r7_r16_r112, axiom, k3_xcmplx_0(7, 16)=112).
fof(rqRealMult__k3_xcmplx_0__r7_r1_r7, axiom, k3_xcmplx_0(7, 1)=7).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc110_numerals, axiom,  (v2_xxreal_0(110) & m1_subset_1(110, k4_ordinal1)) ).
fof(spc111_numerals, axiom,  (v2_xxreal_0(111) & m1_subset_1(111, 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(spc121_numerals, axiom,  (v2_xxreal_0(121) & m1_subset_1(121, k4_ordinal1)) ).
fof(spc16_numerals, axiom,  (v2_xxreal_0(16) & m1_subset_1(16, k4_ordinal1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc22_numerals, axiom,  (v2_xxreal_0(22) & m1_subset_1(22, k4_ordinal1)) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc37_numerals, axiom,  (v2_xxreal_0(37) & m1_subset_1(37, k4_ordinal1)) ).
fof(spc3_numerals, axiom,  (v2_xxreal_0(3) & m1_subset_1(3, k4_ordinal1)) ).
fof(spc56_numerals, axiom,  (v2_xxreal_0(56) & m1_subset_1(56, k4_ordinal1)) ).
fof(spc5_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(k3_xcmplx_0(A, C), k3_xcmplx_0(B, C))) ) ).
fof(spc5_numerals, axiom,  (v2_xxreal_0(5) & m1_subset_1(5, k4_ordinal1)) ).
fof(spc6_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k2_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(A, k2_xcmplx_0(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(spc7_numerals, axiom,  (v2_xxreal_0(7) & m1_subset_1(7, k4_ordinal1)) ).
fof(t14_nat_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_int_2(A) <=>  ( ~ (r1_xxreal_0(A, 1))  &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(B, 1))  &  (r1_xxreal_0(k2_nat_1(B, B), A) &  (v1_int_2(B) & r1_nat_d(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t1_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t1_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v2_xxreal_0(A))  => v2_xxreal_0(B)) ) ) ) ) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k5_numbers)=k5_numbers) ) ).
fof(t2_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v3_xxreal_0(B))  => v3_xxreal_0(A)) ) ) ) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=A) ) ).
fof(t3_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v3_xxreal_0(A))  & v3_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t4_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v2_xxreal_0(B))  & v2_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t5_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(B) |  (v3_xxreal_0(A) | v2_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t6_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(A) |  (v2_xxreal_0(B) | v3_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t7_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(B)) ) ) ) ) ) ) ) ).
fof(t8_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v3_xxreal_0(B))  &  ~ (v2_xxreal_0(A)) ) ) ) ) ) ) ) ).
fof(t8_xprimet1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ~ ( (r1_xxreal_0(k3_xcmplx_0(B, B), A) &  ( ~ (r1_xxreal_0(121, A))  &  ( ~ (B=2)  &  ( ~ (B=3)  &  ( ~ (B=5)  &  ~ (B=7) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_nat_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(A, C))  & r1_nat_d(A, k2_xcmplx_0(k3_xcmplx_0(A, B), C))) ) ) ) ) ) ) ) ) ).
