SET007 Axioms: SET007+675.ax
%------------------------------------------------------------------------------
% File : SET007+675 : TPTP v8.2.0. Released v3.4.0.
% Domain : Set Theory
% Axioms : Again on the Order on a Special Polygon
% Version : [Urb08] axioms.
% English :
% Refs : [Mat90] Matuszewski (1990), Formalized Mathematics
% : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
% : [Urb08] Urban (2006), Email to G. Sutcliffe
% Source : [Urb08]
% Names : sprect_5 [Urb08]
% Status : Satisfiable
% Syntax : Number of formulae : 73 ( 0 unt; 0 def)
% Number of atoms : 807 ( 85 equ)
% Maximal formula atoms : 17 ( 11 avg)
% Number of connectives : 971 ( 237 ~; 4 |; 615 &)
% ( 0 <=>; 115 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 11 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 14 ( 13 usr; 0 prp; 1-2 aty)
% Number of functors : 26 ( 26 usr; 3 con; 0-4 aty)
% Number of variables : 107 ( 107 !; 0 ?)
% SPC :
% Comments : The individual reference can be found in [Mat90] by looking for
% the name provided by [Urb08].
% : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
% : These set theory axioms are used in encodings of problems in
% various domains, including ALG, CAT, GRP, LAT, SET, and TOP.
%------------------------------------------------------------------------------
fof(t1_sprect_5,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_finseq_1(B,A)
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,A)
=> ( r2_hidden(C,k2_relat_1(k16_finseq_1(A,B,k5_finseq_4(B,D))))
=> r1_xreal_0(k5_finseq_4(B,C),k5_finseq_4(B,D)) ) ) ) ) ) ).
fof(t2_sprect_5,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_finseq_1(B,A)
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,A)
=> ( ( r2_hidden(C,k2_relat_1(B))
& r2_hidden(D,k2_relat_1(B))
& r1_xreal_0(k5_finseq_4(B,C),k5_finseq_4(B,D)) )
=> k5_finseq_4(k2_finseq_5(A,B,C),D) = k2_xcmplx_0(k6_xcmplx_0(k5_finseq_4(B,D),k5_finseq_4(B,C)),np__1) ) ) ) ) ) ).
fof(t3_sprect_5,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_finseq_1(B,A)
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,A)
=> ( ( r2_hidden(C,k2_relat_1(B))
& r2_hidden(D,k2_relat_1(B))
& r1_xreal_0(k5_finseq_4(B,C),k5_finseq_4(B,D)) )
=> k5_finseq_4(k1_finseq_5(A,B,D),C) = k5_finseq_4(B,C) ) ) ) ) ) ).
fof(t4_sprect_5,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_finseq_1(B,A)
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,A)
=> ( ( r2_hidden(C,k2_relat_1(B))
& r2_hidden(D,k2_relat_1(B))
& r1_xreal_0(k5_finseq_4(B,C),k5_finseq_4(B,D)) )
=> k5_finseq_4(k1_finseq_6(A,B,C),D) = k2_xcmplx_0(k6_xcmplx_0(k5_finseq_4(B,D),k5_finseq_4(B,C)),np__1) ) ) ) ) ) ).
fof(t5_sprect_5,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_finseq_1(B,A)
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,A)
=> ! [E] :
( m1_subset_1(E,A)
=> ~ ( r2_hidden(C,k2_relat_1(B))
& r2_hidden(D,k2_relat_1(B))
& r2_hidden(E,k2_relat_1(B))
& r1_xreal_0(k5_finseq_4(B,C),k5_finseq_4(B,D))
& ~ r1_xreal_0(k5_finseq_4(B,E),k5_finseq_4(B,D))
& r1_xreal_0(k5_finseq_4(k1_finseq_6(A,B,C),E),k5_finseq_4(k1_finseq_6(A,B,C),D)) ) ) ) ) ) ) ).
fof(t6_sprect_5,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_finseq_1(B,A)
=> ! [C] :
( m1_subset_1(C,A)
=> ! [D] :
( m1_subset_1(D,A)
=> ! [E] :
( m1_subset_1(E,A)
=> ( ( r2_hidden(C,k2_relat_1(B))
& r2_hidden(D,k2_relat_1(B))
& r2_hidden(E,k2_relat_1(B))
& r1_xreal_0(k5_finseq_4(B,D),k5_finseq_4(B,E)) )
=> ( r1_xreal_0(k5_finseq_4(B,D),k5_finseq_4(B,C))
| r1_xreal_0(k5_finseq_4(k1_finseq_6(A,B,C),D),k5_finseq_4(k1_finseq_6(A,B,C),E)) ) ) ) ) ) ) ) ).
fof(t7_sprect_5,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( v1_finseq_6(B,A)
& m2_finseq_1(B,A) )
=> ! [C] :
( m1_subset_1(C,A)
=> ~ ( r2_hidden(C,k2_relat_1(B))
& ~ r1_xreal_0(k3_finseq_1(B),np__1)
& r1_xreal_0(k3_finseq_1(B),k5_finseq_4(B,C)) ) ) ) ) ).
fof(t8_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> v2_funct_1(k1_rfinseq(u1_struct_0(k15_euclid(np__2)),A,np__1)) ) ).
fof(t9_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
=> ( r2_hidden(B,k2_relat_1(A))
=> ( r1_xreal_0(k5_finseq_4(A,B),np__1)
| k5_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(np__2)),A,B),k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1)) = k6_xcmplx_0(k1_nat_1(k3_finseq_1(A),np__1),k5_finseq_4(A,B)) ) ) ) ) ).
fof(t10_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
=> ( ( r2_hidden(B,k2_relat_1(A))
& r2_hidden(C,k2_relat_1(A)) )
=> ( r1_xreal_0(k5_finseq_4(A,C),k5_finseq_4(A,B))
| k5_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(np__2)),A,C),B) = k6_xcmplx_0(k1_nat_1(k3_finseq_1(A),k5_finseq_4(A,B)),k5_finseq_4(A,C)) ) ) ) ) ) ).
fof(t11_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
=> ~ ( r2_hidden(B,k2_relat_1(A))
& r2_hidden(C,k2_relat_1(A))
& r2_hidden(D,k2_relat_1(A))
& ~ r1_xreal_0(k5_finseq_4(A,C),k5_finseq_4(A,B))
& ~ r1_xreal_0(k5_finseq_4(A,D),k5_finseq_4(A,C))
& r1_xreal_0(k5_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(np__2)),A,C),B),k5_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(np__2)),A,C),D)) ) ) ) ) ) ).
fof(t12_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
=> ~ ( r2_hidden(B,k2_relat_1(A))
& r2_hidden(C,k2_relat_1(A))
& r2_hidden(D,k2_relat_1(A))
& ~ r1_xreal_0(k5_finseq_4(A,C),k5_finseq_4(A,B))
& ~ r1_xreal_0(k5_finseq_4(A,D),k5_finseq_4(A,C))
& r1_xreal_0(k5_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(np__2)),A,D),C),k5_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(np__2)),A,D),B)) ) ) ) ) ) ).
fof(t13_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
=> ( ( r2_hidden(B,k2_relat_1(A))
& r2_hidden(C,k2_relat_1(A))
& r2_hidden(D,k2_relat_1(A))
& r1_xreal_0(k5_finseq_4(A,B),k5_finseq_4(A,C)) )
=> ( r1_xreal_0(k5_finseq_4(A,D),k5_finseq_4(A,C))
| r1_xreal_0(k5_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(np__2)),A,D),B),k5_finseq_4(k1_finseq_6(u1_struct_0(k15_euclid(np__2)),A,D),C)) ) ) ) ) ) ) ).
fof(t14_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ r1_xreal_0(k3_finseq_1(A),k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A)))) ) ).
fof(t15_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ r1_xreal_0(k3_finseq_1(A),k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A)))) ) ).
fof(t16_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ r1_xreal_0(k3_finseq_1(A),k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A)))) ) ).
fof(t17_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ r1_xreal_0(k3_finseq_1(A),k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A)))) ) ).
fof(t18_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ r1_xreal_0(k3_finseq_1(A),k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A)))) ) ).
fof(t19_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ r1_xreal_0(k3_finseq_1(A),k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A)))) ) ).
fof(t20_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ r1_xreal_0(k3_finseq_1(A),k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A)))) ) ).
fof(t21_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ r1_xreal_0(k3_finseq_1(A),k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A)))) ) ).
fof(t22_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k30_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t23_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k30_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A))),np__1) ) ) ).
fof(t24_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k30_pscomp_1(k5_topreal1(np__2,A))
& k31_pscomp_1(k5_topreal1(np__2,A)) != k32_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t25_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k30_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t26_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k30_pscomp_1(k5_topreal1(np__2,A))
& k33_pscomp_1(k5_topreal1(np__2,A)) != k34_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t27_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k30_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t28_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k30_pscomp_1(k5_topreal1(np__2,A))
& k35_pscomp_1(k5_topreal1(np__2,A)) != k36_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t29_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k30_pscomp_1(k5_topreal1(np__2,A))
& k37_pscomp_1(k5_topreal1(np__2,A)) != k30_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t30_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k36_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t31_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k36_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A))),np__1) ) ) ).
fof(t32_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k36_pscomp_1(k5_topreal1(np__2,A))
& k37_pscomp_1(k5_topreal1(np__2,A)) != k30_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t33_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k36_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t34_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k36_pscomp_1(k5_topreal1(np__2,A))
& k31_pscomp_1(k5_topreal1(np__2,A)) != k32_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t35_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k36_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t36_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k36_pscomp_1(k5_topreal1(np__2,A))
& k33_pscomp_1(k5_topreal1(np__2,A)) != k34_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t37_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k36_pscomp_1(k5_topreal1(np__2,A))
& k35_pscomp_1(k5_topreal1(np__2,A)) != k36_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t38_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k34_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t39_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k34_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A))),np__1) ) ) ).
fof(t40_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k34_pscomp_1(k5_topreal1(np__2,A))
& k36_pscomp_1(k5_topreal1(np__2,A)) != k35_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t41_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k34_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t42_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k34_pscomp_1(k5_topreal1(np__2,A))
& k37_pscomp_1(k5_topreal1(np__2,A)) != k30_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t43_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k34_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t44_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k34_pscomp_1(k5_topreal1(np__2,A))
& k31_pscomp_1(k5_topreal1(np__2,A)) != k32_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t45_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k34_pscomp_1(k5_topreal1(np__2,A))
& k33_pscomp_1(k5_topreal1(np__2,A)) != k34_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t46_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k33_pscomp_1(k5_topreal1(np__2,A))
& k33_pscomp_1(k5_topreal1(np__2,A)) != k34_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t47_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k33_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t48_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k33_pscomp_1(k5_topreal1(np__2,A))
& k35_pscomp_1(k5_topreal1(np__2,A)) != k36_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t49_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k33_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t50_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k33_pscomp_1(k5_topreal1(np__2,A))
& k37_pscomp_1(k5_topreal1(np__2,A)) != k30_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t51_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k33_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t52_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k33_pscomp_1(k5_topreal1(np__2,A))
& k32_pscomp_1(k5_topreal1(np__2,A)) != k31_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t53_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k35_pscomp_1(k5_topreal1(np__2,A))
& k35_pscomp_1(k5_topreal1(np__2,A)) != k36_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t54_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k35_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t55_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k35_pscomp_1(k5_topreal1(np__2,A))
& k37_pscomp_1(k5_topreal1(np__2,A)) != k30_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t56_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k35_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t57_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k35_pscomp_1(k5_topreal1(np__2,A))
& k31_pscomp_1(k5_topreal1(np__2,A)) != k32_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t58_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k35_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t59_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k35_pscomp_1(k5_topreal1(np__2,A))
& k34_pscomp_1(k5_topreal1(np__2,A)) != k33_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t60_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k37_pscomp_1(k5_topreal1(np__2,A))
& k37_pscomp_1(k5_topreal1(np__2,A)) != k30_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t61_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k37_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t62_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k37_pscomp_1(k5_topreal1(np__2,A))
& k31_pscomp_1(k5_topreal1(np__2,A)) != k32_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t63_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k37_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t64_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k37_pscomp_1(k5_topreal1(np__2,A))
& k33_pscomp_1(k5_topreal1(np__2,A)) != k34_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t65_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k37_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t66_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k37_pscomp_1(k5_topreal1(np__2,A))
& k36_pscomp_1(k5_topreal1(np__2,A)) != k35_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t67_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k31_pscomp_1(k5_topreal1(np__2,A))
& k31_pscomp_1(k5_topreal1(np__2,A)) != k32_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k31_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t68_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k31_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k32_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t69_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k31_pscomp_1(k5_topreal1(np__2,A))
& k33_pscomp_1(k5_topreal1(np__2,A)) != k34_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k33_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t70_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k31_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k34_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t71_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k31_pscomp_1(k5_topreal1(np__2,A))
& k35_pscomp_1(k5_topreal1(np__2,A)) != k36_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k35_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t72_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k31_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k36_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
fof(t73_sprect_5,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& ~ v5_seqm_3(A)
& v1_sprect_2(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) = k31_pscomp_1(k5_topreal1(np__2,A))
& k30_pscomp_1(k5_topreal1(np__2,A)) != k37_pscomp_1(k5_topreal1(np__2,A))
& r1_xreal_0(k5_finseq_4(A,k30_pscomp_1(k5_topreal1(np__2,A))),k5_finseq_4(A,k37_pscomp_1(k5_topreal1(np__2,A)))) ) ) ).
%------------------------------------------------------------------------------