# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(s(t_h4s_pairs_prod(X1,X2),X5)=s(t_h4s_pairs_prod(X1,X2),happ(s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(X1,t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_pairs_u_2c),s(X1,X4))),s(X2,X3)))<=>(s(X1,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X1),h4s_pairs_fst),s(t_h4s_pairs_prod(X1,X2),X5)))=s(X1,X4)&s(X2,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X2),h4s_pairs_snd),s(t_h4s_pairs_prod(X1,X2),X5)))=s(X2,X3))),file('i/f/quantHeuristics/PAIR__EQ__EXPAND_c1', ch4s_quantHeuristicss_PAIRu_u_EQu_u_EXPANDu_c1)).
fof(41, axiom,![X1]:![X2]:![X3]:![X4]:s(X2,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X2),h4s_pairs_snd),s(t_h4s_pairs_prod(X1,X2),happ(s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(X1,t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_pairs_u_2c),s(X1,X4))),s(X2,X3)))))=s(X2,X3),file('i/f/quantHeuristics/PAIR__EQ__EXPAND_c1', ah4s_pairs_SND0)).
fof(42, axiom,![X2]:![X1]:![X3]:![X4]:s(X1,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X1),h4s_pairs_fst),s(t_h4s_pairs_prod(X1,X2),happ(s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(X1,t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_pairs_u_2c),s(X1,X4))),s(X2,X3)))))=s(X1,X4),file('i/f/quantHeuristics/PAIR__EQ__EXPAND_c1', ah4s_pairs_FST0)).
fof(43, axiom,![X1]:![X2]:![X4]:s(t_h4s_pairs_prod(X1,X2),happ(s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(X1,t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_pairs_u_2c),s(X1,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X1),h4s_pairs_fst),s(t_h4s_pairs_prod(X1,X2),X4))))),s(X2,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X2),h4s_pairs_snd),s(t_h4s_pairs_prod(X1,X2),X4)))))=s(t_h4s_pairs_prod(X1,X2),X4),file('i/f/quantHeuristics/PAIR__EQ__EXPAND_c1', ah4s_pairs_PAIR)).
# SZS output end CNFRefutation
