% Mizar problem: t1781_xprimes0,xprimes0,12611,7 
fof(t1781_xprimes0, conjecture,  ~ (v1_int_2(1781)) ).
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_r124_rm124, axiom, k6_xcmplx_0(0, 124)=k4_xcmplx_0(124)).
fof(rqRealDiff__k6_xcmplx_0__r0_r12_rm12, axiom, k6_xcmplx_0(0, 12)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r0_r136_rm136, axiom, k6_xcmplx_0(0, 136)=k4_xcmplx_0(136)).
fof(rqRealDiff__k6_xcmplx_0__r0_r137_rm137, axiom, k6_xcmplx_0(0, 137)=k4_xcmplx_0(137)).
fof(rqRealDiff__k6_xcmplx_0__r0_r13_rm13, axiom, k6_xcmplx_0(0, 13)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d12_rnm1d12, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 12))=k7_xcmplx_0(k4_xcmplx_0(1), 12)).
fof(rqRealDiff__k6_xcmplx_0__r124_r0_r124, axiom, k6_xcmplx_0(124, 0)=124).
fof(rqRealDiff__k6_xcmplx_0__r124_r136_rm12, axiom, k6_xcmplx_0(124, 136)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r12_r0_r12, axiom, k6_xcmplx_0(12, 0)=12).
fof(rqRealDiff__k6_xcmplx_0__r12_r12_r0, axiom, k6_xcmplx_0(12, 12)=0).
fof(rqRealDiff__k6_xcmplx_0__r12_r136_rm124, axiom, k6_xcmplx_0(12, 136)=k4_xcmplx_0(124)).
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__r136_r0_r136, axiom, k6_xcmplx_0(136, 0)=136).
fof(rqRealDiff__k6_xcmplx_0__r136_r12_r124, axiom, k6_xcmplx_0(136, 12)=124).
fof(rqRealDiff__k6_xcmplx_0__r136_r136_r0, axiom, k6_xcmplx_0(136, 136)=0).
fof(rqRealDiff__k6_xcmplx_0__r136_r137_rm1, axiom, k6_xcmplx_0(136, 137)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r136_rm1_r137, axiom, k6_xcmplx_0(136, k4_xcmplx_0(1))=137).
fof(rqRealDiff__k6_xcmplx_0__r137_r0_r137, axiom, k6_xcmplx_0(137, 0)=137).
fof(rqRealDiff__k6_xcmplx_0__r137_r124_r13, axiom, k6_xcmplx_0(137, 124)=13).
fof(rqRealDiff__k6_xcmplx_0__r137_r136_r1, axiom, k6_xcmplx_0(137, 136)=1).
fof(rqRealDiff__k6_xcmplx_0__r137_r137_r0, axiom, k6_xcmplx_0(137, 137)=0).
fof(rqRealDiff__k6_xcmplx_0__r137_r13_r124, axiom, k6_xcmplx_0(137, 13)=124).
fof(rqRealDiff__k6_xcmplx_0__r137_r1_r136, axiom, k6_xcmplx_0(137, 1)=136).
fof(rqRealDiff__k6_xcmplx_0__r13_r0_r13, axiom, k6_xcmplx_0(13, 0)=13).
fof(rqRealDiff__k6_xcmplx_0__r13_r12_r1, axiom, k6_xcmplx_0(13, 12)=1).
fof(rqRealDiff__k6_xcmplx_0__r13_r137_rm124, axiom, k6_xcmplx_0(13, 137)=k4_xcmplx_0(124)).
fof(rqRealDiff__k6_xcmplx_0__r13_r13_r0, axiom, k6_xcmplx_0(13, 13)=0).
fof(rqRealDiff__k6_xcmplx_0__r13_r1781_rm1768, axiom, k6_xcmplx_0(13, 1781)=k4_xcmplx_0(1768)).
fof(rqRealDiff__k6_xcmplx_0__r13_r1_r12, axiom, k6_xcmplx_0(13, 1)=12).
fof(rqRealDiff__k6_xcmplx_0__r1781_r137_r1644, axiom, k6_xcmplx_0(1781, 137)=1644).
fof(rqRealDiff__k6_xcmplx_0__r1781_r13_r1768, axiom, k6_xcmplx_0(1781, 13)=1768).
fof(rqRealDiff__k6_xcmplx_0__r1781_r1_r1780, axiom, k6_xcmplx_0(1781, 1)=1780).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r137_rm136, axiom, k6_xcmplx_0(1, 137)=k4_xcmplx_0(136)).
fof(rqRealDiff__k6_xcmplx_0__r1_r13_rm12, axiom, k6_xcmplx_0(1, 13)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1781_rm1780, axiom, k6_xcmplx_0(1, 1781)=k4_xcmplx_0(1780)).
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__rm124_r0_rm124, axiom, k6_xcmplx_0(k4_xcmplx_0(124), 0)=k4_xcmplx_0(124)).
fof(rqRealDiff__k6_xcmplx_0__rm124_rm124_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(124), k4_xcmplx_0(124))=0).
fof(rqRealDiff__k6_xcmplx_0__rm124_rm136_r12, axiom, k6_xcmplx_0(k4_xcmplx_0(124), k4_xcmplx_0(136))=12).
fof(rqRealDiff__k6_xcmplx_0__rm12_r0_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 0)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm12_r1_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 1)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm12_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(12))=0).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm136_r124, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(136))=124).
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__rm136_r0_rm136, axiom, k6_xcmplx_0(k4_xcmplx_0(136), 0)=k4_xcmplx_0(136)).
fof(rqRealDiff__k6_xcmplx_0__rm136_r1_rm137, axiom, k6_xcmplx_0(k4_xcmplx_0(136), 1)=k4_xcmplx_0(137)).
fof(rqRealDiff__k6_xcmplx_0__rm136_rm124_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(136), k4_xcmplx_0(124))=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm136_rm12_rm124, axiom, k6_xcmplx_0(k4_xcmplx_0(136), k4_xcmplx_0(12))=k4_xcmplx_0(124)).
fof(rqRealDiff__k6_xcmplx_0__rm136_rm136_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(136), k4_xcmplx_0(136))=0).
fof(rqRealDiff__k6_xcmplx_0__rm137_rm136_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(137), k4_xcmplx_0(136))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm137_rm137_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(137), k4_xcmplx_0(137))=0).
fof(rqRealDiff__k6_xcmplx_0__rm137_rm13_rm124, axiom, k6_xcmplx_0(k4_xcmplx_0(137), k4_xcmplx_0(13))=k4_xcmplx_0(124)).
fof(rqRealDiff__k6_xcmplx_0__rm137_rm1_rm136, axiom, k6_xcmplx_0(k4_xcmplx_0(137), k4_xcmplx_0(1))=k4_xcmplx_0(136)).
fof(rqRealDiff__k6_xcmplx_0__rm13_r0_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(13), 0)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm12_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(12))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm13_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(13))=0).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm1_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(1))=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__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_r136_rm137, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 136)=k4_xcmplx_0(137)).
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__rn1d12_r0_rn1d12, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 12), 0)=k7_xcmplx_0(1, 12)).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_rn1d12_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 12), k7_xcmplx_0(1, 12))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d12_r1_rnm13d12, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), 1)=k7_xcmplx_0(k4_xcmplx_0(13), 12)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d12_rnm1d12_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), k7_xcmplx_0(k4_xcmplx_0(1), 12))=0).
fof(rqRealDiv__k7_xcmplx_0__r12_r12_r1, axiom, k7_xcmplx_0(12, 12)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r12_rn1d12, axiom, k7_xcmplx_0(1, 12)=k7_xcmplx_0(1, 12)).
fof(rqRealDiv__k7_xcmplx_0__r1_r13_rn1d13, axiom, k7_xcmplx_0(1, 13)=k7_xcmplx_0(1, 13)).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_rm12_rnm1d12, axiom, k7_xcmplx_0(1, k4_xcmplx_0(12))=k7_xcmplx_0(k4_xcmplx_0(1), 12)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm137_rnm1d137, axiom, k7_xcmplx_0(1, k4_xcmplx_0(137))=k7_xcmplx_0(k4_xcmplx_0(1), 137)).
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__rm1_r1_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, k3_xcmplx_0(0, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r12_r0, axiom, k3_xcmplx_0(0, 12)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r13_r0, axiom, k3_xcmplx_0(0, 13)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d12_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 12))=0).
fof(rqRealMult__k3_xcmplx_0__r124_r1_r124, axiom, k3_xcmplx_0(124, 1)=124).
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_rm137_rm1644, axiom, k3_xcmplx_0(12, k4_xcmplx_0(137))=k4_xcmplx_0(1644)).
fof(rqRealMult__k3_xcmplx_0__r12_rn1d12_r1, axiom, k3_xcmplx_0(12, k7_xcmplx_0(1, 12))=1).
fof(rqRealMult__k3_xcmplx_0__r12_rnm1d12_rm1, axiom, k3_xcmplx_0(12, k7_xcmplx_0(k4_xcmplx_0(1), 12))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r136_r13_r1768, axiom, k3_xcmplx_0(136, 13)=1768).
fof(rqRealMult__k3_xcmplx_0__r136_r1_r136, axiom, k3_xcmplx_0(136, 1)=136).
fof(rqRealMult__k3_xcmplx_0__r137_r13_r1781, axiom, k3_xcmplx_0(137, 13)=1781).
fof(rqRealMult__k3_xcmplx_0__r137_r1_r137, axiom, k3_xcmplx_0(137, 1)=137).
fof(rqRealMult__k3_xcmplx_0__r13_r0_r0, axiom, k3_xcmplx_0(13, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r13_r136_r1768, axiom, k3_xcmplx_0(13, 136)=1768).
fof(rqRealMult__k3_xcmplx_0__r13_r137_r1781, axiom, k3_xcmplx_0(13, 137)=1781).
fof(rqRealMult__k3_xcmplx_0__r13_r1_r13, axiom, k3_xcmplx_0(13, 1)=13).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r124_r124, axiom, k3_xcmplx_0(1, 124)=124).
fof(rqRealMult__k3_xcmplx_0__r1_r12_r12, axiom, k3_xcmplx_0(1, 12)=12).
fof(rqRealMult__k3_xcmplx_0__r1_r136_r136, axiom, k3_xcmplx_0(1, 136)=136).
fof(rqRealMult__k3_xcmplx_0__r1_r137_r137, axiom, k3_xcmplx_0(1, 137)=137).
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_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__rm124_r1_rm124, axiom, k3_xcmplx_0(k4_xcmplx_0(124), 1)=k4_xcmplx_0(124)).
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__rm136_r1_rm136, axiom, k3_xcmplx_0(k4_xcmplx_0(136), 1)=k4_xcmplx_0(136)).
fof(rqRealMult__k3_xcmplx_0__rm137_r1_rm137, axiom, k3_xcmplx_0(k4_xcmplx_0(137), 1)=k4_xcmplx_0(137)).
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_rm137_r1781, axiom, k3_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(137))=1781).
fof(rqRealMult__k3_xcmplx_0__rn1d12_r12_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 12), 12)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d12_r1_rn1d12, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 12), 1)=k7_xcmplx_0(1, 12)).
fof(rqRealMult__k3_xcmplx_0__rn1d12_rm12_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 12), k4_xcmplx_0(12))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn1d13_r13_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 13), 13)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d13_rm13_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 13), k4_xcmplx_0(13))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_r12_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), 12)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_r1_rnm1d12, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 12)).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_rm12_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), k4_xcmplx_0(12))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d137_rm137_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 137), k4_xcmplx_0(137))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d13_r1781_rm137, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 13), 1781)=k4_xcmplx_0(137)).
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__r124_rm124, axiom, k4_xcmplx_0(124)=k4_xcmplx_0(124)).
fof(rqRealNeg__k4_xcmplx_0__r12_rm12, axiom, k4_xcmplx_0(12)=k4_xcmplx_0(12)).
fof(rqRealNeg__k4_xcmplx_0__r136_rm136, axiom, k4_xcmplx_0(136)=k4_xcmplx_0(136)).
fof(rqRealNeg__k4_xcmplx_0__r137_rm137, axiom, k4_xcmplx_0(137)=k4_xcmplx_0(137)).
fof(rqRealNeg__k4_xcmplx_0__r13_rm13, axiom, k4_xcmplx_0(13)=k4_xcmplx_0(13)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__rm124_r124, axiom, k4_xcmplx_0(k4_xcmplx_0(124))=124).
fof(rqRealNeg__k4_xcmplx_0__rm12_r12, axiom, k4_xcmplx_0(k4_xcmplx_0(12))=12).
fof(rqRealNeg__k4_xcmplx_0__rm136_r136, axiom, k4_xcmplx_0(k4_xcmplx_0(136))=136).
fof(rqRealNeg__k4_xcmplx_0__rm137_r137, axiom, k4_xcmplx_0(k4_xcmplx_0(137))=137).
fof(rqRealNeg__k4_xcmplx_0__rm13_r13, axiom, k4_xcmplx_0(k4_xcmplx_0(13))=13).
fof(rqRealNeg__k4_xcmplx_0__rm1644_r1644, axiom, k4_xcmplx_0(k4_xcmplx_0(1644))=1644).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rn12d13_rnm12d13, axiom, k4_xcmplx_0(k7_xcmplx_0(12, 13))=k7_xcmplx_0(k4_xcmplx_0(12), 13)).
fof(rqRealNeg__k4_xcmplx_0__rn1d12_rnm1d12, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 12))=k7_xcmplx_0(k4_xcmplx_0(1), 12)).
fof(rqRealNeg__k4_xcmplx_0__rnm12d13_rn12d13, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(12), 13))=k7_xcmplx_0(12, 13)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d12_rn1d12, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12))=k7_xcmplx_0(1, 12)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc124_numerals, axiom,  (v2_xxreal_0(124) & m1_subset_1(124, k4_ordinal1)) ).
fof(spc12_numerals, axiom,  (v2_xxreal_0(12) & m1_subset_1(12, k4_ordinal1)) ).
fof(spc136_numerals, axiom,  (v2_xxreal_0(136) & m1_subset_1(136, k4_ordinal1)) ).
fof(spc137_numerals, axiom,  (v2_xxreal_0(137) & m1_subset_1(137, k4_ordinal1)) ).
fof(spc13_numerals, axiom,  (v2_xxreal_0(13) & m1_subset_1(13, k4_ordinal1)) ).
fof(spc1644_numerals, axiom,  (v2_xxreal_0(1644) & m1_subset_1(1644, k4_ordinal1)) ).
fof(spc1768_numerals, axiom,  (v2_xxreal_0(1768) & m1_subset_1(1768, k4_ordinal1)) ).
fof(spc1780_numerals, axiom,  (v2_xxreal_0(1780) & m1_subset_1(1780, k4_ordinal1)) ).
fof(spc1781_numerals, axiom,  (v2_xxreal_0(1781) & m1_subset_1(1781, 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) ) ).
