# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_semiu_u_rings_isu_u_semiu_u_ring(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2))))=>![X3]:s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_srm(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2),s(X1,X3),s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_sr1(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2)))))=s(X1,X3)),file('i/f/semi_ring/mult__one__right', ch4s_semiu_u_rings_multu_u_oneu_u_right)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/semi_ring/mult__one__right', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/semi_ring/mult__one__right', aHLu_FALSITY)).
fof(4, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/semi_ring/mult__one__right', aHLu_BOOLu_CASES)).
fof(7, axiom,![X1]:![X2]:(p(s(t_bool,h4s_semiu_u_rings_isu_u_semiu_u_ring(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2))))<=>(![X3]:![X6]:s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_srp(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2),s(X1,X3),s(X1,X6)))=s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_srp(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2),s(X1,X6),s(X1,X3)))&(![X3]:![X6]:![X7]:s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_srp(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2),s(X1,X3),s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_srp(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2),s(X1,X6),s(X1,X7)))))=s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_srp(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2),s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_srp(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2),s(X1,X3),s(X1,X6))),s(X1,X7)))&(![X3]:![X6]:s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_srm(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2),s(X1,X3),s(X1,X6)))=s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_srm(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2),s(X1,X6),s(X1,X3)))&(![X3]:![X6]:![X7]:s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_srm(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2),s(X1,X3),s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_srm(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2),s(X1,X6),s(X1,X7)))))=s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_srm(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2),s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_srm(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2),s(X1,X3),s(X1,X6))),s(X1,X7)))&(![X3]:s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_srp(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2),s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_sr0(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2))),s(X1,X3)))=s(X1,X3)&(![X3]:s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_srm(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2),s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_sr1(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2))),s(X1,X3)))=s(X1,X3)&(![X3]:s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_srm(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2),s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_sr0(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2))),s(X1,X3)))=s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_sr0(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2)))&![X3]:![X6]:![X7]:s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_srm(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2),s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_srp(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2),s(X1,X3),s(X1,X6))),s(X1,X7)))=s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_srp(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2),s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_srm(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2),s(X1,X3),s(X1,X7))),s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_srm(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X2),s(X1,X6),s(X1,X7))))))))))))),file('i/f/semi_ring/mult__one__right', ah4s_semiu_u_rings_isu_u_semiu_u_ringu_u_def)).
# SZS output end CNFRefutation
