%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP388_1 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:26:28 AM UTC 2026 % Result : Theorem 45.55s 46.00s % Output : Proof 45.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : ITP388_1 : TPTP v9.2.1. Released v8.1.0. % 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 00:06:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.23/0.43 %----Proving TF0_ARI % 45.55/46.00 --- Run --finite-model-find --decision=internal at 45... % 45.55/46.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.55/46.00 % SZS status Theorem % 45.55/46.00 % SZS output start Proof % 45.55/46.00 ( % 45.55/46.00 (declare-sort |tptp.'A_b_prod_ell2_set_set$'| 0) % 45.55/46.00 (declare-sort |tptp.'Nat_set_set$'| 0) % 45.55/46.00 (declare-sort |tptp.'B_ell2_set_set$'| 0) % 45.55/46.00 (declare-sort |tptp.'Int_int_bool_fun_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'Int_bool_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'Int_enat_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'Int_num_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'Enat_enat_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'Enat_num_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'Num_int_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'Num_enat_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'Num_num_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'A_ell2_a_ell2_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'Enat_enat_bool_fun_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'Enat_bool_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'Num_num_bool_fun_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'Num_bool_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'Num$'| 0) % 45.55/46.00 (declare-sort |tptp.'Nat_a_b_prod_ell2_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'Nat_b_ell2_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'A_b_prod_ell2_set_a_b_prod_ell2_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'Int_set$'| 0) % 45.55/46.00 (declare-sort |tptp.'Enat$'| 0) % 45.55/46.00 (declare-sort |tptp.'Enat_set$'| 0) % 45.55/46.00 (declare-sort |tptp.'A_ell2_set$'| 0) % 45.55/46.00 (declare-sort |tptp.'A_b_prod_ell2_a_a_b_prod_prod_ell2_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'A_a_prod_ell2$'| 0) % 45.55/46.00 (declare-sort |tptp.'A_b_prod_ell2_nat_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'B_ell2_nat_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'B_ell2_a_b_prod_ell2_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'A_ell2$'| 0) % 45.55/46.00 (declare-sort |tptp.'B_ell2$'| 0) % 45.55/46.00 (declare-sort |tptp.'Nat$'| 0) % 45.55/46.00 (declare-sort |tptp.'A_b_prod_ell2$'| 0) % 45.55/46.00 (declare-sort |tptp.'Nat_bool_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'A_ell2_a_b_prod_ell2_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'Nat_nat_fun_bool_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'Nat_nat_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'Nat_set$'| 0) % 45.55/46.00 (declare-sort |tptp.'Nat_set_bool_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'A_b_prod_a_prod_ell2$'| 0) % 45.55/46.00 (declare-sort |tptp.'B_ell2_set$'| 0) % 45.55/46.00 (declare-sort |tptp.'A_b_prod_ell2_a_b_prod_a_prod_ell2_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'B_a_prod_ell2$'| 0) % 45.55/46.00 (declare-sort |tptp.'B_ell2_b_a_prod_ell2_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'Enat_int_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'B_ell2_set_a_b_prod_ell2_set_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'Int_int_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'A_b_prod_ell2_a_b_prod_ell2_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'B_ell2_b_ell2_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'A_b_prod_ell2_set_bool_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'A_b_prod_ell2_b_ell2_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'B_ell2_bool_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'A_b_prod_ell2_bool_fun$'| 0) % 45.55/46.00 (declare-sort |tptp.'A_b_prod_ell2_set$'| 0) % 45.55/46.00 (declare-sort |tptp.'Nat_set_nat_set_fun$'| 0) % 45.55/46.00 (declare-const |tptp.'plus$a'| (-> |tptp.'Enat$'| |tptp.'Enat_enat_fun$'|)) % 45.55/46.00 (declare-const |tptp.'bit1$'| |tptp.'Num_num_fun$'|) % 45.55/46.00 (declare-const |tptp.'bitM$'| |tptp.'Num_num_fun$'|) % 45.55/46.00 (declare-const |tptp.'bit0$'| |tptp.'Num_num_fun$'|) % 45.55/46.00 (declare-const |tptp.'sub$a'| (-> |tptp.'Num$'| |tptp.'Num$'| |tptp.'A_ell2$'|)) % 45.55/46.00 (declare-const |tptp.'sub$'| (-> |tptp.'Num$'| |tptp.'Num_int_fun$'|)) % 45.55/46.00 (declare-const |tptp.'dbl$a'| (-> |tptp.'A_ell2$'| |tptp.'A_ell2$'|)) % 45.55/46.00 (declare-const |tptp.'numeral$b'| (-> |tptp.'Num$'| |tptp.'A_ell2$'|)) % 45.55/46.00 (declare-const |tptp.'numeral$a'| |tptp.'Num_enat_fun$'|) % 45.55/46.00 (declare-const |tptp.'numeral$'| |tptp.'Num_int_fun$'|) % 45.55/46.00 (declare-const |tptp.'dbl_inc$a'| (-> |tptp.'A_ell2$'| |tptp.'A_ell2$'|)) % 45.55/46.00 (declare-const |tptp.'dbl_inc$'| |tptp.'Int_int_fun$'|) % 45.55/46.00 (declare-const |tptp.'dbl_dec$'| (-> |tptp.'A_ell2$'| |tptp.'A_ell2$'|)) % 45.55/46.00 (declare-const |tptp.'less_eq$f'| (-> |tptp.'A_b_prod_ell2_set_set$'| |tptp.'A_b_prod_ell2_set_set$'| Bool)) % 45.55/46.00 (declare-const |tptp.'image$h'| (-> |tptp.'B_ell2_set_a_b_prod_ell2_set_fun$'| |tptp.'B_ell2_set_set$'| |tptp.'A_b_prod_ell2_set_set$'|)) % 45.55/46.00 (declare-const |tptp.'fpow$b'| (-> |tptp.'A_b_prod_ell2_set$'| |tptp.'A_b_prod_ell2_set_set$'|)) % 45.55/46.00 (declare-const |tptp.'one$a'| |tptp.'Nat$'|) % 45.55/46.00 (declare-const |tptp.'inj_on$o'| (-> |tptp.'Nat_set_nat_set_fun$'| |tptp.'Nat_set_set$'| Bool)) % 45.55/46.00 (declare-const |tptp.'inc$'| |tptp.'Num_num_fun$'|) % 45.55/46.00 (declare-const |tptp.'fpow$a'| (-> |tptp.'Nat_set$'| |tptp.'Nat_set_set$'|)) % 45.55/46.00 (declare-const |tptp.'inj_on$n'| (-> |tptp.'B_ell2_set_a_b_prod_ell2_set_fun$'| |tptp.'B_ell2_set_set$'| Bool)) % 45.55/46.00 (declare-const |tptp.'fpow$'| (-> |tptp.'B_ell2_set$'| |tptp.'B_ell2_set_set$'|)) % 45.55/46.00 (declare-const |tptp.'eps$'| (-> |tptp.'Nat_nat_fun_bool_fun$'| |tptp.'Nat_nat_fun$'|)) % 45.55/46.00 (declare-const |tptp.'one$'| |tptp.'A_ell2$'|) % 45.55/46.00 (declare-const |tptp.'uminus$e'| (-> |tptp.'Nat_bool_fun$'| |tptp.'Nat_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'uminus$d'| (-> |tptp.'Int_set$'| |tptp.'Int_set$'|)) % 45.55/46.00 (declare-const |tptp.'uminus$c'| (-> |tptp.'A_ell2$'| |tptp.'A_ell2$'|)) % 45.55/46.00 (declare-const |tptp.'uminus$a'| (-> |tptp.'B_ell2_set$'| |tptp.'B_ell2_set$'|)) % 45.55/46.00 (declare-const |tptp.'uminus$b'| (-> |tptp.'A_b_prod_ell2_set$'| |tptp.'A_b_prod_ell2_set$'|)) % 45.55/46.00 (declare-const |tptp.'uminus$'| (-> |tptp.'Nat_set$'| |tptp.'Nat_set$'|)) % 45.55/46.00 (declare-const |tptp.'to_nat$'| |tptp.'Nat_nat_fun$'|) % 45.55/46.00 (declare-const |tptp.'minus$g'| (-> |tptp.'Nat_bool_fun$'| |tptp.'Nat_bool_fun$'| |tptp.'Nat_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'inj_on$m'| (-> |tptp.'Int_int_fun$'| |tptp.'Int_set$'| Bool)) % 45.55/46.00 (declare-const |tptp.'inj_on$l'| (-> |tptp.'Nat_a_b_prod_ell2_fun$'| |tptp.'Nat_set_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'comp$n'| (-> |tptp.'A_b_prod_ell2_nat_fun$'| |tptp.'Nat_a_b_prod_ell2_fun$'| |tptp.'Nat_nat_fun$'|)) % 45.55/46.00 (declare-const |tptp.'inj_on$k'| (-> |tptp.'A_b_prod_ell2_a_b_prod_ell2_fun$'| |tptp.'A_b_prod_ell2_set_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'inj_on$j'| (-> |tptp.'Nat_b_ell2_fun$'| |tptp.'Nat_set_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'comp$m'| (-> |tptp.'B_ell2_nat_fun$'| |tptp.'Nat_b_ell2_fun$'| |tptp.'Nat_nat_fun$'|)) % 45.55/46.00 (declare-const |tptp.'comp$l'| (-> |tptp.'Nat_nat_fun$'| |tptp.'A_b_prod_ell2_nat_fun$'| |tptp.'A_b_prod_ell2_nat_fun$'|)) % 45.55/46.00 (declare-const |tptp.'comp$k'| (-> |tptp.'Nat_nat_fun$'| |tptp.'B_ell2_nat_fun$'| |tptp.'B_ell2_nat_fun$'|)) % 45.55/46.00 (declare-const |tptp.'comp$j'| (-> |tptp.'A_b_prod_ell2_a_b_prod_ell2_fun$'| |tptp.'A_b_prod_ell2_a_b_prod_ell2_fun$'| |tptp.'A_b_prod_ell2_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'comp$i'| (-> |tptp.'A_b_prod_ell2_b_ell2_fun$'| |tptp.'A_b_prod_ell2_a_b_prod_ell2_fun$'| |tptp.'A_b_prod_ell2_b_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'comp$f'| (-> |tptp.'A_b_prod_ell2_b_ell2_fun$'| |tptp.'B_ell2_a_b_prod_ell2_fun$'| |tptp.'B_ell2_b_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'comp$e'| (-> |tptp.'B_ell2_b_ell2_fun$'| |tptp.'B_ell2_b_ell2_fun$'| |tptp.'B_ell2_b_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'top$i'| |tptp.'Enat$'|) % 45.55/46.00 (declare-const |tptp.'comp$d'| (-> |tptp.'B_ell2_a_b_prod_ell2_fun$'| |tptp.'B_ell2_b_ell2_fun$'| |tptp.'B_ell2_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'plus$'| (-> |tptp.'A_ell2$'| |tptp.'A_ell2$'| |tptp.'A_ell2$'|)) % 45.55/46.00 (declare-const |tptp.'comp$c'| (-> |tptp.'A_b_prod_ell2_a_b_prod_ell2_fun$'| |tptp.'B_ell2_a_b_prod_ell2_fun$'| |tptp.'B_ell2_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'minus$f'| (-> |tptp.'Int_set$'| |tptp.'Int_set$'| |tptp.'Int_set$'|)) % 45.55/46.00 (declare-const |tptp.'one$b'| |tptp.'Enat$'|) % 45.55/46.00 (declare-const |tptp.'fun_app$ah'| (-> |tptp.'Int_bool_fun$'| Int Bool)) % 45.55/46.00 (declare-const |tptp.'fun_app$ai'| (-> |tptp.'Int_int_bool_fun_fun$'| Int |tptp.'Int_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'fun_app$ag'| (-> |tptp.'Int_enat_fun$'| Int |tptp.'Enat$'|)) % 45.55/46.00 (declare-const |tptp.'fun_app$af'| (-> |tptp.'Int_num_fun$'| Int |tptp.'Num$'|)) % 45.55/46.00 (declare-const |tptp.'uui$'| |tptp.'A_b_prod_ell2_bool_fun$'|) % 45.55/46.00 (declare-const |tptp.'uuc$'| |tptp.'Nat_nat_fun$'|) % 45.55/46.00 (declare-const |tptp.'uum$'| (-> |tptp.'Nat_nat_fun$'| |tptp.'Nat_set$'| |tptp.'Nat_bool_fun$'| |tptp.'Nat_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'nat$'| (-> Int |tptp.'Nat$'|)) % 45.55/46.00 (declare-const |tptp.'psi$'| |tptp.'A_ell2$'|) % 45.55/46.00 (declare-const |tptp.'top$d'| |tptp.'A_b_prod_ell2_bool_fun$'|) % 45.55/46.00 (declare-const |tptp.'fun_app$p'| (-> |tptp.'B_ell2_bool_fun$'| |tptp.'B_ell2$'| Bool)) % 45.55/46.00 (declare-const |tptp.'fun_app$o'| (-> |tptp.'Nat_set_nat_set_fun$'| |tptp.'Nat_set$'| |tptp.'Nat_set$'|)) % 45.55/46.00 (declare-const |tptp.'uuj$'| (-> |tptp.'B_ell2_a_b_prod_ell2_fun$'| |tptp.'B_ell2_set$'| |tptp.'A_b_prod_ell2_bool_fun$'| |tptp.'A_b_prod_ell2_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'fun_app$n'| (-> |tptp.'B_ell2_set_a_b_prod_ell2_set_fun$'| |tptp.'B_ell2_set$'| |tptp.'A_b_prod_ell2_set$'|)) % 45.55/46.00 (declare-const |tptp.'uuh$'| |tptp.'B_ell2_bool_fun$'|) % 45.55/46.00 (declare-const |tptp.'fun_app$k'| (-> |tptp.'A_b_prod_ell2_b_ell2_fun$'| |tptp.'A_b_prod_ell2$'| |tptp.'B_ell2$'|)) % 45.55/46.00 (declare-const |tptp.'image$'| (-> |tptp.'B_ell2_a_b_prod_ell2_fun$'| |tptp.'B_ell2_set_a_b_prod_ell2_set_fun$'|)) % 45.55/46.00 (declare-const |tptp.'uu$'| (-> |tptp.'A_b_prod_ell2_a_b_prod_ell2_fun$'| |tptp.'B_ell2_a_b_prod_ell2_fun$'| |tptp.'B_ell2_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'member$c'| (-> |tptp.'A_ell2$'| |tptp.'A_ell2_set$'| Bool)) % 45.55/46.00 (declare-const |tptp.'the_inv_into$c'| (-> |tptp.'B_ell2_set$'| |tptp.'B_ell2_nat_fun$'| |tptp.'Nat_b_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'top$a'| |tptp.'B_ell2_set$'|) % 45.55/46.00 (declare-const |tptp.'member$e'| (-> Int |tptp.'Int_set$'| Bool)) % 45.55/46.00 (declare-const |tptp.'fun_app$q'| (-> |tptp.'B_ell2_nat_fun$'| |tptp.'B_ell2$'| |tptp.'Nat$'|)) % 45.55/46.00 (declare-const |tptp.'image$f'| (-> |tptp.'A_b_prod_ell2_b_ell2_fun$'| |tptp.'A_b_prod_ell2_set$'| |tptp.'B_ell2_set$'|)) % 45.55/46.00 (declare-const |tptp.'member$a'| (-> |tptp.'A_b_prod_ell2$'| |tptp.'A_b_prod_ell2_set_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'minus$h'| (-> |tptp.'Enat$'| |tptp.'Enat_enat_fun$'|)) % 45.55/46.00 (declare-const |tptp.'inj_on$b'| (-> |tptp.'B_ell2_b_ell2_fun$'| |tptp.'B_ell2_set$'| Bool)) % 45.55/46.00 (declare-const |tptp.'of_nat$'| (-> |tptp.'Nat$'| Int)) % 45.55/46.00 (declare-const |tptp.'fun_app$f'| (-> |tptp.'A_b_prod_ell2_a_b_prod_a_prod_ell2_fun$'| |tptp.'A_b_prod_ell2$'| |tptp.'A_b_prod_a_prod_ell2$'|)) % 45.55/46.00 (declare-const |tptp.'fun_app$b'| (-> |tptp.'Nat_bool_fun$'| |tptp.'Nat$'| Bool)) % 45.55/46.00 (declare-const |tptp.'fun_app$e'| (-> |tptp.'B_ell2_a_b_prod_ell2_fun$'| |tptp.'B_ell2$'| |tptp.'A_b_prod_ell2$'|)) % 45.55/46.00 (declare-const |tptp.'uud$'| (-> |tptp.'A_ell2$'| |tptp.'B_ell2_b_a_prod_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'inj_on$'| (-> |tptp.'Nat_nat_fun$'| |tptp.'Nat_set_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'image$a'| (-> |tptp.'Nat_nat_fun$'| |tptp.'Nat_set_nat_set_fun$'|)) % 45.55/46.00 (declare-const |tptp.'fun_app$d'| (-> |tptp.'A_ell2_a_b_prod_ell2_fun$'| |tptp.'A_ell2$'| |tptp.'A_b_prod_ell2$'|)) % 45.55/46.00 (declare-const |tptp.'less_eq$'| (-> |tptp.'B_ell2_set$'| |tptp.'B_ell2_set$'| Bool)) % 45.55/46.00 (declare-const |tptp.'fun_app$r'| (-> |tptp.'A_b_prod_ell2_nat_fun$'| |tptp.'A_b_prod_ell2$'| |tptp.'Nat$'|)) % 45.55/46.00 (declare-const |tptp.'fun_app$y'| (-> |tptp.'A_ell2_a_ell2_fun$'| |tptp.'A_ell2$'| |tptp.'A_ell2$'|)) % 45.55/46.00 (declare-const |tptp.'less_eq$d'| |tptp.'Enat_enat_bool_fun_fun$'|) % 45.55/46.00 (declare-const |tptp.'tensor_ell2$'| (-> |tptp.'A_ell2$'| |tptp.'B_ell2_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'uup$'| (-> |tptp.'B_ell2$'| |tptp.'B_ell2_b_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'uuq$'| (-> |tptp.'A_b_prod_ell2$'| |tptp.'A_b_prod_ell2_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'uuo$'| (-> Int |tptp.'Int_int_fun$'|)) % 45.55/46.00 (declare-const |tptp.'uuv$'| |tptp.'Nat_nat_fun_bool_fun$'|) % 45.55/46.00 (declare-const |tptp.'the_inv_into$a'| (-> |tptp.'B_ell2_set$'| |tptp.'B_ell2_a_b_prod_ell2_fun$'| |tptp.'A_b_prod_ell2_b_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'member$b'| (-> |tptp.'B_ell2$'| |tptp.'B_ell2_set$'| Bool)) % 45.55/46.00 (declare-const |tptp.'uun$'| (-> |tptp.'Nat_nat_fun$'| |tptp.'Nat_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'fun_app$m'| (-> |tptp.'A_b_prod_ell2_set_bool_fun$'| |tptp.'A_b_prod_ell2_set$'| Bool)) % 45.55/46.00 (declare-const |tptp.'image$e'| (-> |tptp.'B_ell2_b_ell2_fun$'| |tptp.'B_ell2_set$'| |tptp.'B_ell2_set$'|)) % 45.55/46.00 (declare-const |tptp.'tensor_ell2$a'| (-> |tptp.'A_b_prod_ell2$'| |tptp.'A_ell2$'| |tptp.'A_b_prod_a_prod_ell2$'|)) % 45.55/46.00 (declare-const |tptp.'collect$a'| (-> |tptp.'A_b_prod_ell2_bool_fun$'| |tptp.'A_b_prod_ell2_set$'|)) % 45.55/46.00 (declare-const |tptp.'fun_app$c'| (-> |tptp.'Nat_nat_fun$'| |tptp.'Nat$'| |tptp.'Nat$'|)) % 45.55/46.00 (declare-const |tptp.'fun_app$g'| (-> |tptp.'B_ell2_b_a_prod_ell2_fun$'| |tptp.'B_ell2$'| |tptp.'B_a_prod_ell2$'|)) % 45.55/46.00 (declare-const |tptp.'uuk$'| (-> |tptp.'B_ell2_a_b_prod_ell2_fun$'| |tptp.'B_ell2_set$'| |tptp.'A_b_prod_ell2_bool_fun$'| |tptp.'B_ell2_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'uuf$'| (-> |tptp.'B_ell2$'| |tptp.'A_ell2_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'uue$'| (-> |tptp.'A_ell2$'| |tptp.'A_b_prod_ell2_a_b_prod_a_prod_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'uut$'| (-> |tptp.'Nat_set$'| |tptp.'Nat_bool_fun$'| |tptp.'Nat_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'uul$'| (-> |tptp.'Nat_nat_fun$'| |tptp.'Nat_set$'| |tptp.'Nat_bool_fun$'| |tptp.'Nat_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'fun_app$i'| (-> |tptp.'A_b_prod_ell2_a_b_prod_ell2_fun$'| |tptp.'A_b_prod_ell2$'| |tptp.'A_b_prod_ell2$'|)) % 45.55/46.00 (declare-const |tptp.'tensor_ell2$b'| (-> |tptp.'B_ell2$'| |tptp.'A_ell2$'| |tptp.'B_a_prod_ell2$'|)) % 45.55/46.00 (declare-const |tptp.'uuw$'| (-> |tptp.'Nat$'| |tptp.'Nat_nat_fun$'|)) % 45.55/46.00 (declare-const |tptp.'uuu$'| (-> |tptp.'Nat_set$'| |tptp.'Nat_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'minus$'| (-> |tptp.'A_b_prod_ell2$'| |tptp.'A_b_prod_ell2_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'image$b'| (-> |tptp.'B_ell2_nat_fun$'| |tptp.'B_ell2_set$'| |tptp.'Nat_set$'|)) % 45.55/46.00 (declare-const |tptp.'top$'| |tptp.'Nat_set$'|) % 45.55/46.00 (declare-const |tptp.'fun_app$j'| (-> |tptp.'B_ell2_b_ell2_fun$'| |tptp.'B_ell2$'| |tptp.'B_ell2$'|)) % 45.55/46.00 (declare-const |tptp.'image$c'| (-> |tptp.'A_b_prod_ell2_nat_fun$'| |tptp.'A_b_prod_ell2_set$'| |tptp.'Nat_set$'|)) % 45.55/46.00 (declare-const |tptp.'uua$'| (-> |tptp.'B_ell2_a_b_prod_ell2_fun$'| |tptp.'B_ell2_b_ell2_fun$'| |tptp.'B_ell2_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'zero$e'| |tptp.'Enat$'|) % 45.55/46.00 (declare-const |tptp.'top$b'| |tptp.'A_b_prod_ell2_set$'|) % 45.55/46.00 (declare-const |tptp.'uus$'| (-> |tptp.'Nat_set$'| |tptp.'Nat_set$'| |tptp.'Nat_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'uur$'| (-> Int |tptp.'Int_int_fun$'|)) % 45.55/46.00 (declare-const |tptp.'zero$'| |tptp.'A_ell2$'|) % 45.55/46.00 (declare-const |tptp.'fun_app$s'| (-> |tptp.'A_b_prod_ell2_set_a_b_prod_ell2_fun$'| |tptp.'A_b_prod_ell2_set$'| |tptp.'A_b_prod_ell2$'|)) % 45.55/46.00 (declare-const |tptp.'member$'| (-> |tptp.'Nat$'| |tptp.'Nat_set_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'uub$'| (-> |tptp.'B_ell2_a_b_prod_ell2_fun$'| |tptp.'A_b_prod_ell2_b_ell2_fun$'| |tptp.'A_b_prod_ell2_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'dbl$'| |tptp.'Int_int_fun$'|) % 45.55/46.00 (declare-const |tptp.'fun_app$'| (-> |tptp.'Nat_nat_fun_bool_fun$'| |tptp.'Nat_nat_fun$'| Bool)) % 45.55/46.00 (declare-const |tptp.'top$g'| |tptp.'Int_set$'|) % 45.55/46.00 (declare-const |tptp.'comp$h'| (-> |tptp.'B_ell2_a_b_prod_ell2_fun$'| |tptp.'A_b_prod_ell2_b_ell2_fun$'| |tptp.'A_b_prod_ell2_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'uug$'| (-> |tptp.'Nat_set$'| |tptp.'Nat_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'collect$'| (-> |tptp.'B_ell2_bool_fun$'| |tptp.'B_ell2_set$'|)) % 45.55/46.00 (declare-const |tptp.'inj_on$a'| (-> |tptp.'B_ell2_a_b_prod_ell2_fun$'| |tptp.'B_ell2_set$'| Bool)) % 45.55/46.00 (declare-const |tptp.'image$d'| (-> |tptp.'A_b_prod_ell2_a_b_prod_ell2_fun$'| |tptp.'A_b_prod_ell2_set$'| |tptp.'A_b_prod_ell2_set$'|)) % 45.55/46.00 (declare-const |tptp.'zero$b'| |tptp.'A_b_prod_ell2$'|) % 45.55/46.00 (declare-const |tptp.'zero$a'| |tptp.'B_ell2$'|) % 45.55/46.00 (declare-const |tptp.'top$c'| |tptp.'B_ell2_bool_fun$'|) % 45.55/46.00 (declare-const |tptp.'dbl_dec$a'| |tptp.'Int_int_fun$'|) % 45.55/46.00 (declare-const |tptp.'zero$d'| |tptp.'Nat$'|) % 45.55/46.00 (declare-const |tptp.'fun_app$ae'| (-> |tptp.'Enat_int_fun$'| |tptp.'Enat$'| Int)) % 45.55/46.00 (declare-const |tptp.'fun_app$l'| (-> |tptp.'A_b_prod_ell2_bool_fun$'| |tptp.'A_b_prod_ell2$'| Bool)) % 45.55/46.00 (declare-const |tptp.'inj_on$c'| (-> |tptp.'B_ell2_nat_fun$'| |tptp.'B_ell2_set$'| Bool)) % 45.55/46.00 (declare-const |tptp.'less_eq$b'| (-> |tptp.'A_b_prod_ell2_set$'| |tptp.'A_b_prod_ell2_set_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'inj_on$d'| (-> |tptp.'A_b_prod_ell2_nat_fun$'| |tptp.'A_b_prod_ell2_set_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'tensor_ell2$d'| (-> |tptp.'A_ell2$'| |tptp.'A_b_prod_ell2_a_a_b_prod_prod_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'comp$g'| (-> |tptp.'B_ell2_b_ell2_fun$'| |tptp.'A_b_prod_ell2_b_ell2_fun$'| |tptp.'A_b_prod_ell2_b_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'inj_on$e'| (-> |tptp.'A_b_prod_ell2_a_a_b_prod_prod_ell2_fun$'| |tptp.'A_b_prod_ell2_set_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'inj_on$f'| (-> |tptp.'B_ell2_b_a_prod_ell2_fun$'| |tptp.'B_ell2_set$'| Bool)) % 45.55/46.00 (declare-const |tptp.'fun_app$v'| (-> |tptp.'Num_num_bool_fun_fun$'| |tptp.'Num$'| |tptp.'Num_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'inj_on$g'| (-> |tptp.'A_b_prod_ell2_a_b_prod_a_prod_ell2_fun$'| |tptp.'A_b_prod_ell2_set_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'zero$c'| |tptp.'A_a_prod_ell2$'|) % 45.55/46.00 (declare-const |tptp.'fun_app$ac'| (-> |tptp.'Enat_num_fun$'| |tptp.'Enat$'| |tptp.'Num$'|)) % 45.55/46.00 (declare-const |tptp.'top$e'| |tptp.'A_ell2_set$'|) % 45.55/46.00 (declare-const |tptp.'inj_on$h'| (-> |tptp.'A_ell2_a_b_prod_ell2_fun$'| |tptp.'A_ell2_set$'| Bool)) % 45.55/46.00 (declare-const |tptp.'fun_app$h'| (-> |tptp.'Int_int_fun$'| Int Int)) % 45.55/46.00 (declare-const |tptp.'fun_app$t'| (-> |tptp.'Nat_b_ell2_fun$'| |tptp.'Nat$'| |tptp.'B_ell2$'|)) % 45.55/46.00 (declare-const |tptp.'collect$b'| (-> |tptp.'Nat_bool_fun$'| |tptp.'Nat_set$'|)) % 45.55/46.00 (declare-const |tptp.'comp$'| (-> |tptp.'A_b_prod_ell2_nat_fun$'| |tptp.'B_ell2_a_b_prod_ell2_fun$'| |tptp.'B_ell2_nat_fun$'|)) % 45.55/46.00 (declare-const |tptp.'top$f'| |tptp.'Enat_set$'|) % 45.55/46.00 (declare-const |tptp.'member$d'| (-> |tptp.'Enat$'| |tptp.'Enat_set$'| Bool)) % 45.55/46.00 (declare-const |tptp.'the_inv_into$'| (-> |tptp.'A_b_prod_ell2_set$'| |tptp.'A_b_prod_ell2_b_ell2_fun$'| |tptp.'B_ell2_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'less_eq$e'| (-> |tptp.'Nat_bool_fun$'| |tptp.'Nat_bool_fun$'| Bool)) % 45.55/46.00 (declare-const |tptp.'inj_on$i'| (-> |tptp.'A_b_prod_ell2_b_ell2_fun$'| |tptp.'A_b_prod_ell2_set_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'fun_app$ab'| (-> |tptp.'Num_int_fun$'| |tptp.'Num$'| Int)) % 45.55/46.00 (declare-const |tptp.'the_inv_into$b'| (-> |tptp.'Nat_set$'| |tptp.'Nat_nat_fun$'| |tptp.'Nat_nat_fun$'|)) % 45.55/46.00 (declare-const |tptp.'top$h'| |tptp.'Nat_bool_fun$'|) % 45.55/46.00 (declare-const |tptp.'minus$a'| (-> |tptp.'B_ell2$'| |tptp.'B_ell2_b_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'image$g'| (-> |tptp.'Int_int_fun$'| |tptp.'Int_set$'| |tptp.'Int_set$'|)) % 45.55/46.00 (declare-const |tptp.'folding_insort_key_axioms$'| (-> |tptp.'B_ell2_set$'| |tptp.'B_ell2_a_b_prod_ell2_fun$'| Bool)) % 45.55/46.00 (declare-const |tptp.'folding_insort_key_axioms$a'| (-> |tptp.'Nat_set$'| |tptp.'Nat_nat_fun$'| Bool)) % 45.55/46.00 (declare-const |tptp.'less_eq$a'| (-> |tptp.'Nat_set$'| |tptp.'Nat_set_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'the_inv_into$d'| (-> |tptp.'A_b_prod_ell2_set$'| |tptp.'A_b_prod_ell2_nat_fun$'| |tptp.'Nat_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'comp$a'| (-> |tptp.'A_b_prod_ell2_b_ell2_fun$'| |tptp.'Nat_a_b_prod_ell2_fun$'| |tptp.'Nat_b_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'comp$b'| (-> |tptp.'Nat_nat_fun$'| |tptp.'Nat_nat_fun$'| |tptp.'Nat_nat_fun$'|)) % 45.55/46.00 (declare-const |tptp.'minus$b'| (-> |tptp.'Nat_set$'| |tptp.'Nat_set$'| |tptp.'Nat_set$'|)) % 45.55/46.00 (declare-const |tptp.'minus$d'| (-> |tptp.'A_b_prod_ell2_set$'| |tptp.'A_b_prod_ell2_set$'| |tptp.'A_b_prod_ell2_set$'|)) % 45.55/46.00 (declare-const |tptp.'minus$c'| (-> |tptp.'B_ell2_set$'| |tptp.'B_ell2_set$'| |tptp.'B_ell2_set$'|)) % 45.55/46.00 (declare-const |tptp.'fun_app$a'| (-> |tptp.'Nat_set_bool_fun$'| |tptp.'Nat_set$'| Bool)) % 45.55/46.00 (declare-const |tptp.'less_eq$c'| |tptp.'Num_num_bool_fun_fun$'|) % 45.55/46.00 (declare-const |tptp.'one$c'| |tptp.'Num$'|) % 45.55/46.00 (declare-const |tptp.'fun_app$u'| (-> |tptp.'Num_bool_fun$'| |tptp.'Num$'| Bool)) % 45.55/46.00 (declare-const |tptp.'tensor_ell2$c'| (-> |tptp.'A_ell2$'| |tptp.'A_ell2$'| |tptp.'A_a_prod_ell2$'|)) % 45.55/46.00 (declare-const |tptp.'fun_app$x'| (-> |tptp.'Enat_enat_bool_fun_fun$'| |tptp.'Enat$'| |tptp.'Enat_bool_fun$'|)) % 45.55/46.00 (declare-const |tptp.'fun_app$w'| (-> |tptp.'Enat_bool_fun$'| |tptp.'Enat$'| Bool)) % 45.55/46.00 (declare-const |tptp.'minus$e'| (-> |tptp.'A_ell2$'| |tptp.'A_ell2_a_ell2_fun$'|)) % 45.55/46.00 (declare-const |tptp.'fun_app$z'| (-> |tptp.'Num_num_fun$'| |tptp.'Num$'| |tptp.'Num$'|)) % 45.55/46.00 (declare-const |tptp.'fun_app$aa'| (-> |tptp.'Num_enat_fun$'| |tptp.'Num$'| |tptp.'Enat$'|)) % 45.55/46.00 (declare-const |tptp.'eps$a'| (-> |tptp.'Nat_bool_fun$'| |tptp.'Nat$'|)) % 45.55/46.00 (declare-const |tptp.'fun_app$ad'| (-> |tptp.'Enat_enat_fun$'| |tptp.'Enat$'| |tptp.'Enat$'|)) % 45.55/46.00 (define @t1 () (@var "A__questionmark_v0" |tptp.'Nat_nat_fun$'|)) % 45.55/46.00 (define @t2 () (|tptp.'inj_on$'| @t1)) % 45.55/46.00 (define @t3 () (|tptp.'fun_app$a'| @t2 |tptp.'top$'|)) % 45.55/46.00 (define @t4 () (@list @t1)) % 45.55/46.00 (define @t5 () (@var "A__questionmark_v1" |tptp.'Nat$'|)) % 45.55/46.00 (define @t6 () (|tptp.'fun_app$c'| @t1 @t5)) % 45.55/46.00 (define @t7 () (|tptp.'uun$'| @t1)) % 45.55/46.00 (define @t8 () (@list @t1 @t5)) % 45.55/46.00 (define @t9 () (@var "A__questionmark_v0" |tptp.'B_ell2$'|)) % 45.55/46.00 (define @t10 () (@var "A__questionmark_v1" |tptp.'A_ell2$'|)) % 45.55/46.00 (define @t11 () (|tptp.'uuf$'| @t9)) % 45.55/46.00 (define @t12 () (@var "A__questionmark_v0" |tptp.'A_ell2$'|)) % 45.55/46.00 (define @t13 () (@var "A__questionmark_v1" |tptp.'A_b_prod_ell2$'|)) % 45.55/46.00 (define @t14 () (|tptp.'uue$'| @t12)) % 45.55/46.00 (define @t15 () (@var "A__questionmark_v1" |tptp.'B_ell2$'|)) % 45.55/46.00 (define @t16 () (|tptp.'uud$'| @t12)) % 45.55/46.00 (define @t17 () (@list @t12 @t15)) % 45.55/46.00 (define @t18 () (@var "A__questionmark_v1" Int)) % 45.55/46.00 (define @t19 () (@var "A__questionmark_v0" Int)) % 45.55/46.00 (define @t20 () (- @t19 @t18)) % 45.55/46.00 (define @t21 () (|tptp.'uuo$'| @t19)) % 45.55/46.00 (define @t22 () (@list @t19 @t18)) % 45.55/46.00 (define @t23 () (@var "A__questionmark_v0" |tptp.'A_b_prod_ell2$'|)) % 45.55/46.00 (define @t24 () (|tptp.'uuq$'| @t23)) % 45.55/46.00 (define @t25 () (|tptp.'uup$'| @t9)) % 45.55/46.00 (define @t26 () (- @t18 @t19)) % 45.55/46.00 (define @t27 () (|tptp.'uur$'| @t19)) % 45.55/46.00 (define @t28 () (@var "A__questionmark_v0" |tptp.'Nat_set$'|)) % 45.55/46.00 (define @t29 () (|tptp.'member$'| @t5)) % 45.55/46.00 (define @t30 () (|tptp.'fun_app$a'| @t29 @t28)) % 45.55/46.00 (define @t31 () (|tptp.'uug$'| @t28)) % 45.55/46.00 (define @t32 () (@list @t28 @t5)) % 45.55/46.00 (define @t33 () (@var "A__questionmark_v0" |tptp.'Nat$'|)) % 45.55/46.00 (define @t34 () (|tptp.'of_nat$'| @t33)) % 45.55/46.00 (define @t35 () (|tptp.'of_nat$'| @t5)) % 45.55/46.00 (define @t36 () (- @t35 @t34)) % 45.55/46.00 (define @t37 () (|tptp.'fun_app$c'| (|tptp.'uuw$'| @t33) @t5)) % 45.55/46.00 (define @t38 () (< @t35 @t34)) % 45.55/46.00 (define @t39 () (not @t38)) % 45.55/46.00 (define @t40 () (@list @t33 @t5)) % 45.55/46.00 (define @t41 () (|tptp.'uuu$'| @t28)) % 45.55/46.00 (define @t42 () (@var "A__questionmark_v2" |tptp.'Nat$'|)) % 45.55/46.00 (define @t43 () (@var "A__questionmark_v1" |tptp.'Nat_bool_fun$'|)) % 45.55/46.00 (define @t44 () (|tptp.'member$'| @t42)) % 45.55/46.00 (define @t45 () (|tptp.'fun_app$a'| @t44 @t28)) % 45.55/46.00 (define @t46 () (|tptp.'uut$'| @t28 @t43)) % 45.55/46.00 (define @t47 () (@var "A__questionmark_v1" |tptp.'Nat_set$'|)) % 45.55/46.00 (define @t48 () (|tptp.'fun_app$a'| @t44 @t47)) % 45.55/46.00 (define @t49 () (|tptp.'uus$'| @t28 @t47)) % 45.55/46.00 (define @t50 () (@list @t28 @t47 @t42)) % 45.55/46.00 (define @t51 () (@var "A__questionmark_v2" |tptp.'B_ell2$'|)) % 45.55/46.00 (define @t52 () (@var "A__questionmark_v1" |tptp.'B_ell2_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (define @t53 () (|tptp.'fun_app$e'| @t52 @t51)) % 45.55/46.00 (define @t54 () (@var "A__questionmark_v0" |tptp.'A_b_prod_ell2_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (define @t55 () (|tptp.'uu$'| @t54 @t52)) % 45.55/46.00 (define @t56 () (@var "A__questionmark_v2" |tptp.'A_b_prod_ell2$'|)) % 45.55/46.00 (define @t57 () (@var "A__questionmark_v1" |tptp.'A_b_prod_ell2_b_ell2_fun$'|)) % 45.55/46.00 (define @t58 () (@var "A__questionmark_v0" |tptp.'B_ell2_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (define @t59 () (|tptp.'fun_app$e'| @t58 (|tptp.'fun_app$k'| @t57 @t56))) % 45.55/46.00 (define @t60 () (|tptp.'uub$'| @t58 @t57)) % 45.55/46.00 (define @t61 () (@var "A__questionmark_v1" |tptp.'B_ell2_b_ell2_fun$'|)) % 45.55/46.00 (define @t62 () (|tptp.'fun_app$j'| @t61 @t51)) % 45.55/46.00 (define @t63 () (|tptp.'uua$'| @t58 @t61)) % 45.55/46.00 (define @t64 () (@var "A__questionmark_v3" |tptp.'A_b_prod_ell2$'|)) % 45.55/46.00 (define @t65 () (@var "A__questionmark_v2" |tptp.'A_b_prod_ell2_bool_fun$'|)) % 45.55/46.00 (define @t66 () (|tptp.'fun_app$l'| @t65 @t64)) % 45.55/46.00 (define @t67 () (@var "A__questionmark_v1" |tptp.'B_ell2_set$'|)) % 45.55/46.00 (define @t68 () (|tptp.'image$'| @t58)) % 45.55/46.00 (define @t69 () (|tptp.'fun_app$n'| @t68 @t67)) % 45.55/46.00 (define @t70 () (|tptp.'fun_app$m'| (|tptp.'member$a'| @t64) @t69)) % 45.55/46.00 (define @t71 () (and @t70 @t66)) % 45.55/46.00 (define @t72 () (|tptp.'uuj$'| @t58 @t67 @t65)) % 45.55/46.00 (define @t73 () (@var "A__questionmark_v3" |tptp.'Nat$'|)) % 45.55/46.00 (define @t74 () (@var "A__questionmark_v2" |tptp.'Nat_bool_fun$'|)) % 45.55/46.00 (define @t75 () (|tptp.'fun_app$b'| @t74 @t73)) % 45.55/46.00 (define @t76 () (|tptp.'image$a'| @t1)) % 45.55/46.00 (define @t77 () (|tptp.'fun_app$o'| @t76 @t47)) % 45.55/46.00 (define @t78 () (|tptp.'member$'| @t73)) % 45.55/46.00 (define @t79 () (|tptp.'fun_app$a'| @t78 @t77)) % 45.55/46.00 (define @t80 () (and @t79 @t75)) % 45.55/46.00 (define @t81 () (|tptp.'uul$'| @t1 @t47 @t74)) % 45.55/46.00 (define @t82 () (@list @t1 @t47 @t74 @t73)) % 45.55/46.00 (define @t83 () (@var "A__questionmark_v3" |tptp.'B_ell2$'|)) % 45.55/46.00 (define @t84 () (|tptp.'fun_app$e'| @t58 @t83)) % 45.55/46.00 (define @t85 () (|tptp.'fun_app$l'| @t65 @t84)) % 45.55/46.00 (define @t86 () (|tptp.'member$b'| @t83 @t67)) % 45.55/46.00 (define @t87 () (and @t86 @t85)) % 45.55/46.00 (define @t88 () (|tptp.'uuk$'| @t58 @t67 @t65)) % 45.55/46.00 (define @t89 () (|tptp.'fun_app$c'| @t1 @t73)) % 45.55/46.00 (define @t90 () (|tptp.'fun_app$b'| @t74 @t89)) % 45.55/46.00 (define @t91 () (|tptp.'fun_app$a'| @t78 @t47)) % 45.55/46.00 (define @t92 () (and @t91 @t90)) % 45.55/46.00 (define @t93 () (|tptp.'uum$'| @t1 @t47 @t74)) % 45.55/46.00 (define @t94 () (@list @t33)) % 45.55/46.00 (define @t95 () (@list @t23)) % 45.55/46.00 (define @t96 () (@list @t9)) % 45.55/46.00 (define @t97 () (|tptp.'tensor_ell2$'| |tptp.'psi$'|)) % 45.55/46.00 (define @t98 () (|tptp.'fun_app$n'| (|tptp.'image$'| @t97) |tptp.'top$a'|)) % 45.55/46.00 (define @t99 () (|tptp.'fun_app$e'| @t97 @t15)) % 45.55/46.00 (define @t100 () (@list @t15)) % 45.55/46.00 (define @t101 () (exists @t100 (= @t99 @t23))) % 45.55/46.00 (define @t102 () (forall @t95 @t101)) % 45.55/46.00 (define @t103 () (@var "A__questionmark_v3" |tptp.'B_ell2_set$'|)) % 45.55/46.00 (define @t104 () (|tptp.'image$'| @t52)) % 45.55/46.00 (define @t105 () (|tptp.'fun_app$n'| @t104 @t103)) % 45.55/46.00 (define @t106 () (|tptp.'member$a'| @t23)) % 45.55/46.00 (define @t107 () (|tptp.'member$b'| @t51 @t103)) % 45.55/46.00 (define @t108 () (= @t23 @t53)) % 45.55/46.00 (define @t109 () (@var "A__questionmark_v3" |tptp.'Nat_set$'|)) % 45.55/46.00 (define @t110 () (@var "A__questionmark_v1" |tptp.'Nat_nat_fun$'|)) % 45.55/46.00 (define @t111 () (|tptp.'image$a'| @t110)) % 45.55/46.00 (define @t112 () (|tptp.'fun_app$o'| @t111 @t109)) % 45.55/46.00 (define @t113 () (|tptp.'member$'| @t33)) % 45.55/46.00 (define @t114 () (|tptp.'fun_app$a'| @t44 @t109)) % 45.55/46.00 (define @t115 () (|tptp.'fun_app$c'| @t110 @t42)) % 45.55/46.00 (define @t116 () (|tptp.'fun_app$a'| @t113 |tptp.'top$'|)) % 45.55/46.00 (define @t117 () (|tptp.'member$b'| @t9 |tptp.'top$a'|)) % 45.55/46.00 (define @t118 () (|tptp.'fun_app$m'| @t106 |tptp.'top$b'|)) % 45.55/46.00 (define @t119 () (@list @t51)) % 45.55/46.00 (define @t120 () (|tptp.'fun_app$n'| @t104 |tptp.'top$a'|)) % 45.55/46.00 (define @t121 () (|tptp.'fun_app$m'| @t106 @t120)) % 45.55/46.00 (define @t122 () (@var "A__questionmark_v1" |tptp.'B_ell2_nat_fun$'|)) % 45.55/46.00 (define @t123 () (= @t33 (|tptp.'fun_app$q'| @t122 @t51))) % 45.55/46.00 (define @t124 () (|tptp.'image$b'| @t122 |tptp.'top$a'|)) % 45.55/46.00 (define @t125 () (|tptp.'fun_app$a'| @t113 @t124)) % 45.55/46.00 (define @t126 () (@var "A__questionmark_v1" |tptp.'A_b_prod_ell2_nat_fun$'|)) % 45.55/46.00 (define @t127 () (= @t33 (|tptp.'fun_app$r'| @t126 @t56))) % 45.55/46.00 (define @t128 () (@list @t56)) % 45.55/46.00 (define @t129 () (|tptp.'image$c'| @t126 |tptp.'top$b'|)) % 45.55/46.00 (define @t130 () (|tptp.'fun_app$a'| @t113 @t129)) % 45.55/46.00 (define @t131 () (|tptp.'image$d'| @t54 @t120)) % 45.55/46.00 (define @t132 () (|tptp.'image$'| @t55)) % 45.55/46.00 (define @t133 () (@list @t54 @t52)) % 45.55/46.00 (define @t134 () (|tptp.'image$e'| @t61 |tptp.'top$a'|)) % 45.55/46.00 (define @t135 () (|tptp.'fun_app$n'| @t68 @t134)) % 45.55/46.00 (define @t136 () (|tptp.'image$'| @t63)) % 45.55/46.00 (define @t137 () (@list @t58 @t61)) % 45.55/46.00 (define @t138 () (|tptp.'image$f'| @t57 |tptp.'top$b'|)) % 45.55/46.00 (define @t139 () (|tptp.'fun_app$n'| @t68 @t138)) % 45.55/46.00 (define @t140 () (@list @t58 @t57)) % 45.55/46.00 (define @t141 () (@var "A__questionmark_v0" |tptp.'B_ell2_b_ell2_fun$'|)) % 45.55/46.00 (define @t142 () (= @t15 (|tptp.'fun_app$j'| @t141 @t51))) % 45.55/46.00 (define @t143 () (exists @t119 @t142)) % 45.55/46.00 (define @t144 () (= (|tptp.'image$e'| @t141 |tptp.'top$a'|) |tptp.'top$a'|)) % 45.55/46.00 (define @t145 () (@list @t141 @t15)) % 45.55/46.00 (define @t146 () (|tptp.'fun_app$e'| @t58 @t51)) % 45.55/46.00 (define @t147 () (= @t13 @t146)) % 45.55/46.00 (define @t148 () (exists @t119 @t147)) % 45.55/46.00 (define @t149 () (|tptp.'fun_app$n'| @t68 |tptp.'top$a'|)) % 45.55/46.00 (define @t150 () (= @t149 |tptp.'top$b'|)) % 45.55/46.00 (define @t151 () (@list @t58 @t13)) % 45.55/46.00 (define @t152 () (@var "A__questionmark_v0" |tptp.'A_b_prod_ell2_b_ell2_fun$'|)) % 45.55/46.00 (define @t153 () (= @t15 (|tptp.'fun_app$k'| @t152 @t56))) % 45.55/46.00 (define @t154 () (exists @t128 @t153)) % 45.55/46.00 (define @t155 () (= (|tptp.'image$f'| @t152 |tptp.'top$b'|) |tptp.'top$a'|)) % 45.55/46.00 (define @t156 () (@list @t152 @t15)) % 45.55/46.00 (define @t157 () (= @t13 (|tptp.'fun_app$i'| @t54 @t56))) % 45.55/46.00 (define @t158 () (exists @t128 @t157)) % 45.55/46.00 (define @t159 () (= (|tptp.'image$d'| @t54 |tptp.'top$b'|) |tptp.'top$b'|)) % 45.55/46.00 (define @t160 () (@list @t54 @t13)) % 45.55/46.00 (define @t161 () (@list @t141 @t61)) % 45.55/46.00 (define @t162 () (@list @t152 @t52)) % 45.55/46.00 (define @t163 () (@var "A__questionmark_v1" |tptp.'A_b_prod_ell2_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (define @t164 () (@list @t54 @t163)) % 45.55/46.00 (define @t165 () (|tptp.'fun_app$e'| @t58 @t15)) % 45.55/46.00 (define @t166 () (|tptp.'member$a'| @t165)) % 45.55/46.00 (define @t167 () (@list @t58 @t15)) % 45.55/46.00 (define @t168 () (@var "A__questionmark_v0" |tptp.'B_ell2_nat_fun$'|)) % 45.55/46.00 (define @t169 () (|tptp.'image$b'| @t168 |tptp.'top$a'|)) % 45.55/46.00 (define @t170 () (|tptp.'member$'| (|tptp.'fun_app$q'| @t168 @t15))) % 45.55/46.00 (define @t171 () (@var "A__questionmark_v0" |tptp.'A_b_prod_ell2_nat_fun$'|)) % 45.55/46.00 (define @t172 () (|tptp.'image$c'| @t171 |tptp.'top$b'|)) % 45.55/46.00 (define @t173 () (|tptp.'member$'| (|tptp.'fun_app$r'| @t171 @t13))) % 45.55/46.00 (define @t174 () (|tptp.'tensor_ell2$'| @t12)) % 45.55/46.00 (define @t175 () (@list @t12)) % 45.55/46.00 (define @t176 () (= @t51 @t83)) % 45.55/46.00 (define @t177 () (|tptp.'member$b'| @t51 @t67)) % 45.55/46.00 (define @t178 () (= @t146 @t84)) % 45.55/46.00 (define @t179 () (|tptp.'inj_on$a'| @t58 @t67)) % 45.55/46.00 (define @t180 () (@list @t58 @t67 @t51 @t83)) % 45.55/46.00 (define @t181 () (= @t42 @t73)) % 45.55/46.00 (define @t182 () (|tptp.'fun_app$c'| @t1 @t42)) % 45.55/46.00 (define @t183 () (= @t182 @t89)) % 45.55/46.00 (define @t184 () (|tptp.'fun_app$a'| @t2 @t47)) % 45.55/46.00 (define @t185 () (@list @t1 @t47 @t42 @t73)) % 45.55/46.00 (define @t186 () (@var "A__questionmark_v0" |tptp.'B_ell2_set$'|)) % 45.55/46.00 (define @t187 () (|tptp.'inj_on$a'| @t52 @t186)) % 45.55/46.00 (define @t188 () (|tptp.'fun_app$e'| @t52 @t83)) % 45.55/46.00 (define @t189 () (|tptp.'member$b'| @t83 @t186)) % 45.55/46.00 (define @t190 () (@list @t186 @t52)) % 45.55/46.00 (define @t191 () (|tptp.'inj_on$'| @t110)) % 45.55/46.00 (define @t192 () (|tptp.'fun_app$a'| @t191 @t28)) % 45.55/46.00 (define @t193 () (|tptp.'fun_app$c'| @t110 @t73)) % 45.55/46.00 (define @t194 () (|tptp.'fun_app$a'| @t78 @t28)) % 45.55/46.00 (define @t195 () (@list @t28 @t110)) % 45.55/46.00 (define @t196 () (@list @t83)) % 45.55/46.00 (define @t197 () (@list @t58 @t67)) % 45.55/46.00 (define @t198 () (@list @t73)) % 45.55/46.00 (define @t199 () (@list @t42)) % 45.55/46.00 (define @t200 () (@list @t1 @t47)) % 45.55/46.00 (define @t201 () (|tptp.'inj_on$'| |tptp.'uuc$'|)) % 45.55/46.00 (define @t202 () (@list @t28)) % 45.55/46.00 (define @t203 () (@var "A__questionmark_v2" |tptp.'B_ell2_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (define @t204 () (|tptp.'inj_on$a'| @t203 @t186)) % 45.55/46.00 (define @t205 () (|tptp.'fun_app$e'| @t203 @t83)) % 45.55/46.00 (define @t206 () (@var "A__questionmark_v2" |tptp.'Nat_nat_fun$'|)) % 45.55/46.00 (define @t207 () (|tptp.'inj_on$'| @t206)) % 45.55/46.00 (define @t208 () (|tptp.'fun_app$a'| @t207 @t28)) % 45.55/46.00 (define @t209 () (|tptp.'fun_app$c'| @t206 @t73)) % 45.55/46.00 (define @t210 () (@list @t28 @t110 @t206)) % 45.55/46.00 (define @t211 () (|tptp.'fun_app$c'| @t110 @t209)) % 45.55/46.00 (define @t212 () (= @t5 @t42)) % 45.55/46.00 (define @t213 () (= @t6 @t182)) % 45.55/46.00 (define @t214 () (forall (@list @t5 @t42) (=> @t213 @t212))) % 45.55/46.00 (define @t215 () (= @t15 @t51)) % 45.55/46.00 (define @t216 () (= @t165 @t146)) % 45.55/46.00 (define @t217 () (forall (@list @t15 @t51) (=> @t216 @t215))) % 45.55/46.00 (define @t218 () (|tptp.'inj_on$a'| @t58 |tptp.'top$a'|)) % 45.55/46.00 (define @t219 () (@list @t58)) % 45.55/46.00 (define @t220 () (@list @t1 @t5 @t42)) % 45.55/46.00 (define @t221 () (@list @t58 @t15 @t51)) % 45.55/46.00 (define @t222 () (@var "A__questionmark_v2" |tptp.'B_ell2_b_ell2_fun$'|)) % 45.55/46.00 (define @t223 () (@var "A__questionmark_v4" |tptp.'B_ell2$'|)) % 45.55/46.00 (define @t224 () (@list @t223)) % 45.55/46.00 (define @t225 () (|tptp.'image$a'| @t206)) % 45.55/46.00 (define @t226 () (@var "A__questionmark_v4" |tptp.'Nat$'|)) % 45.55/46.00 (define @t227 () (|tptp.'fun_app$a'| (|tptp.'member$'| @t226) @t28)) % 45.55/46.00 (define @t228 () (@list @t226)) % 45.55/46.00 (define @t229 () (= @t10 |tptp.'zero$'|)) % 45.55/46.00 (define @t230 () (= @t12 |tptp.'zero$'|)) % 45.55/46.00 (define @t231 () (not @t230)) % 45.55/46.00 (define @t232 () (@list @t12 @t10)) % 45.55/46.00 (define @t233 () (@var "A__questionmark_v2" |tptp.'Nat_set$'|)) % 45.55/46.00 (define @t234 () (|tptp.'fun_app$o'| @t76 @t233)) % 45.55/46.00 (define @t235 () (@var "A__questionmark_v2" |tptp.'B_ell2_set$'|)) % 45.55/46.00 (define @t236 () (|tptp.'member$b'| @t15 @t235)) % 45.55/46.00 (define @t237 () (|tptp.'fun_app$n'| @t68 @t235)) % 45.55/46.00 (define @t238 () (|tptp.'inj_on$c'| @t168 |tptp.'top$a'|)) % 45.55/46.00 (define @t239 () (@var "A__questionmark_v2" |tptp.'A_b_prod_ell2_set$'|)) % 45.55/46.00 (define @t240 () (|tptp.'member$a'| @t13)) % 45.55/46.00 (define @t241 () (|tptp.'inj_on$d'| @t171)) % 45.55/46.00 (define @t242 () (|tptp.'fun_app$m'| @t241 |tptp.'top$b'|)) % 45.55/46.00 (define @t243 () (@list @t1 @t47 @t233)) % 45.55/46.00 (define @t244 () (@list @t58 @t67 @t235)) % 45.55/46.00 (define @t245 () (= @t83 @t51)) % 45.55/46.00 (define @t246 () (|tptp.'fun_app$q'| @t168 @t51)) % 45.55/46.00 (define @t247 () (@list @t64)) % 45.55/46.00 (define @t248 () (|tptp.'fun_app$r'| @t171 @t56)) % 45.55/46.00 (define @t249 () (@list @t186)) % 45.55/46.00 (define @t250 () (@var "A__questionmark_v0" |tptp.'A_b_prod_ell2_set$'|)) % 45.55/46.00 (define @t251 () (@list @t13)) % 45.55/46.00 (define @t252 () (@list @t250)) % 45.55/46.00 (define @t253 () (@var "A__questionmark_v3" |tptp.'B_ell2_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (define @t254 () (|tptp.'fun_app$n'| (|tptp.'image$'| @t253) @t67)) % 45.55/46.00 (define @t255 () (|tptp.'member$a'| @t56)) % 45.55/46.00 (define @t256 () (|tptp.'member$b'| @t9 @t67)) % 45.55/46.00 (define @t257 () (@var "A__questionmark_v3" |tptp.'Nat_nat_fun$'|)) % 45.55/46.00 (define @t258 () (|tptp.'fun_app$a'| @t113 @t47)) % 45.55/46.00 (define @t259 () (@list @t58 @t67 @t65)) % 45.55/46.00 (define @t260 () (@list @t1 @t47 @t74)) % 45.55/46.00 (define @t261 () (|tptp.'image$'| @t203)) % 45.55/46.00 (define @t262 () (|tptp.'fun_app$n'| @t261 @t186)) % 45.55/46.00 (define @t263 () (= @t186 @t67)) % 45.55/46.00 (define @t264 () (= @t23 @t188)) % 45.55/46.00 (define @t265 () (|tptp.'member$b'| @t83 @t235)) % 45.55/46.00 (define @t266 () (|tptp.'fun_app$n'| @t104 @t235)) % 45.55/46.00 (define @t267 () (|tptp.'fun_app$m'| @t106 @t266)) % 45.55/46.00 (define @t268 () (@list @t23 @t52 @t235)) % 45.55/46.00 (define @t269 () (= @t33 @t193)) % 45.55/46.00 (define @t270 () (|tptp.'fun_app$a'| @t78 @t233)) % 45.55/46.00 (define @t271 () (|tptp.'fun_app$o'| @t111 @t233)) % 45.55/46.00 (define @t272 () (|tptp.'fun_app$a'| @t113 @t271)) % 45.55/46.00 (define @t273 () (@list @t33 @t110 @t233)) % 45.55/46.00 (define @t274 () (|tptp.'fun_app$n'| @t261 @t67)) % 45.55/46.00 (define @t275 () (|tptp.'image$d'| @t54 @t266)) % 45.55/46.00 (define @t276 () (@list @t54 @t52 @t235)) % 45.55/46.00 (define @t277 () (|tptp.'image$e'| @t61 @t235)) % 45.55/46.00 (define @t278 () (|tptp.'fun_app$n'| @t68 @t277)) % 45.55/46.00 (define @t279 () (@list @t58 @t61 @t235)) % 45.55/46.00 (define @t280 () (forall @t251 @t148)) % 45.55/46.00 (define @t281 () (= @t150 @t280)) % 45.55/46.00 (define @t282 () (forall @t219 @t281)) % 45.55/46.00 (define @t283 () (@var "A__questionmark_v1" |tptp.'A_b_prod_ell2_set$'|)) % 45.55/46.00 (define @t284 () (|tptp.'image$f'| @t152 @t283)) % 45.55/46.00 (define @t285 () (|tptp.'the_inv_into$'| @t283 @t152)) % 45.55/46.00 (define @t286 () (|tptp.'inj_on$i'| @t152)) % 45.55/46.00 (define @t287 () (|tptp.'fun_app$m'| @t286 @t283)) % 45.55/46.00 (define @t288 () (@list @t152 @t283)) % 45.55/46.00 (define @t289 () (|tptp.'the_inv_into$a'| @t67 @t58)) % 45.55/46.00 (define @t290 () (|tptp.'the_inv_into$b'| @t47 @t1)) % 45.55/46.00 (define @t291 () (@var "A__questionmark_v4" |tptp.'A_b_prod_ell2_set_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (define @t292 () (@var "A__questionmark_v5" |tptp.'B_ell2$'|)) % 45.55/46.00 (define @t293 () (@list @t1 @t47 @t42)) % 45.55/46.00 (define @t294 () (|tptp.'fun_app$k'| @t289 @t56)) % 45.55/46.00 (define @t295 () (|tptp.'fun_app$m'| @t255 @t69)) % 45.55/46.00 (define @t296 () (|tptp.'fun_app$c'| @t290 @t42)) % 45.55/46.00 (define @t297 () (|tptp.'fun_app$a'| @t44 @t77)) % 45.55/46.00 (define @t298 () (= |tptp.'zero$'| @t12)) % 45.55/46.00 (define @t299 () (@var "A__questionmark_v0" |tptp.'Enat$'|)) % 45.55/46.00 (define @t300 () (= @t299 |tptp.'zero$e'|)) % 45.55/46.00 (define @t301 () (@list @t299)) % 45.55/46.00 (define @t302 () (= @t19 0)) % 45.55/46.00 (define @t303 () (= 0 @t19)) % 45.55/46.00 (define @t304 () (@list @t19)) % 45.55/46.00 (define @t305 () (|tptp.'less_eq$a'| @t47)) % 45.55/46.00 (define @t306 () (@list @t1 @t47 @t42 @t109)) % 45.55/46.00 (define @t307 () (|tptp.'less_eq$a'| @t77)) % 45.55/46.00 (define @t308 () (|tptp.'less_eq$b'| @t69)) % 45.55/46.00 (define @t309 () (|tptp.'inj_on$a'| @t52 @t235)) % 45.55/46.00 (define @t310 () (|tptp.'comp$b'| @t1 @t110)) % 45.55/46.00 (define @t311 () (|tptp.'fun_app$a'| @t191 @t233)) % 45.55/46.00 (define @t312 () (|tptp.'fun_app$a'| @t2 @t271)) % 45.55/46.00 (define @t313 () (|tptp.'minus$b'| @t47 @t233)) % 45.55/46.00 (define @t314 () (|tptp.'minus$d'| @t69 @t237)) % 45.55/46.00 (define @t315 () (|tptp.'minus$c'| @t67 @t235)) % 45.55/46.00 (define @t316 () (|tptp.'fun_app$n'| @t68 @t315)) % 45.55/46.00 (define @t317 () (@var "A__questionmark_v0" |tptp.'Num$'|)) % 45.55/46.00 (define @t318 () (|tptp.'fun_app$v'| |tptp.'less_eq$c'| @t317)) % 45.55/46.00 (define @t319 () (@list @t317)) % 45.55/46.00 (define @t320 () (|tptp.'fun_app$x'| |tptp.'less_eq$d'| @t299)) % 45.55/46.00 (define @t321 () (|tptp.'less_eq$a'| @t28)) % 45.55/46.00 (define @t322 () (|tptp.'fun_app$a'| @t321 @t47)) % 45.55/46.00 (define @t323 () (forall @t199 (=> @t45 @t48))) % 45.55/46.00 (define @t324 () (@list @t28 @t47)) % 45.55/46.00 (define @t325 () (|tptp.'fun_app$a'| @t113 @t233)) % 45.55/46.00 (define @t326 () (and @t258 (not @t325))) % 45.55/46.00 (define @t327 () (|tptp.'fun_app$a'| @t113 @t313)) % 45.55/46.00 (define @t328 () (@list @t33 @t47 @t233)) % 45.55/46.00 (define @t329 () (|tptp.'minus$e'| @t12)) % 45.55/46.00 (define @t330 () (|tptp.'member$e'| @t19 |tptp.'top$g'|)) % 45.55/46.00 (define @t331 () (and @t330 (|tptp.'member$e'| @t18 |tptp.'top$g'|))) % 45.55/46.00 (define @t332 () (<= @t18 @t19)) % 45.55/46.00 (define @t333 () (= @t12 @t10)) % 45.55/46.00 (define @t334 () (= (|tptp.'fun_app$y'| @t329 @t10) |tptp.'zero$'|)) % 45.55/46.00 (define @t335 () (|tptp.'member$c'| @t12 |tptp.'top$e'|)) % 45.55/46.00 (define @t336 () (= @t19 @t18)) % 45.55/46.00 (define @t337 () (= @t20 0)) % 45.55/46.00 (define @t338 () (<= @t19 @t18)) % 45.55/46.00 (define @t339 () (@var "A__questionmark_v2" Int)) % 45.55/46.00 (define @t340 () (- @t19 @t339)) % 45.55/46.00 (define @t341 () (@list @t19 @t18 @t339)) % 45.55/46.00 (define @t342 () (@var "A__questionmark_v3" Int)) % 45.55/46.00 (define @t343 () (<= @t339 @t342)) % 45.55/46.00 (define @t344 () (= @t20 (- @t339 @t342))) % 45.55/46.00 (define @t345 () (@list @t19 @t18 @t339 @t342)) % 45.55/46.00 (define @t346 () (- @t18 @t339)) % 45.55/46.00 (define @t347 () (@var "A__questionmark_v1" |tptp.'Num$'|)) % 45.55/46.00 (define @t348 () (= @t347 @t317)) % 45.55/46.00 (define @t349 () (|tptp.'fun_app$v'| |tptp.'less_eq$c'| @t347)) % 45.55/46.00 (define @t350 () (|tptp.'fun_app$u'| @t349 @t317)) % 45.55/46.00 (define @t351 () (|tptp.'fun_app$u'| @t318 @t347)) % 45.55/46.00 (define @t352 () (@list @t317 @t347)) % 45.55/46.00 (define @t353 () (@var "A__questionmark_v1" |tptp.'Enat$'|)) % 45.55/46.00 (define @t354 () (= @t353 @t299)) % 45.55/46.00 (define @t355 () (|tptp.'fun_app$x'| |tptp.'less_eq$d'| @t353)) % 45.55/46.00 (define @t356 () (|tptp.'fun_app$w'| @t355 @t299)) % 45.55/46.00 (define @t357 () (|tptp.'fun_app$w'| @t320 @t353)) % 45.55/46.00 (define @t358 () (@list @t299 @t353)) % 45.55/46.00 (define @t359 () (= @t18 @t19)) % 45.55/46.00 (define @t360 () (@var "A__questionmark_v3" |tptp.'Num$'|)) % 45.55/46.00 (define @t361 () (@var "A__questionmark_v2" |tptp.'Num_num_fun$'|)) % 45.55/46.00 (define @t362 () (|tptp.'fun_app$u'| (|tptp.'fun_app$v'| |tptp.'less_eq$c'| (|tptp.'fun_app$z'| @t361 @t317)) @t360)) % 45.55/46.00 (define @t363 () (@var "A__questionmark_v5" |tptp.'Num$'|)) % 45.55/46.00 (define @t364 () (@var "A__questionmark_v4" |tptp.'Num$'|)) % 45.55/46.00 (define @t365 () (|tptp.'fun_app$u'| (|tptp.'fun_app$v'| |tptp.'less_eq$c'| @t364) @t363)) % 45.55/46.00 (define @t366 () (@list @t364 @t363)) % 45.55/46.00 (define @t367 () (forall @t366 (=> @t365 (|tptp.'fun_app$u'| (|tptp.'fun_app$v'| |tptp.'less_eq$c'| (|tptp.'fun_app$z'| @t361 @t364)) (|tptp.'fun_app$z'| @t361 @t363))))) % 45.55/46.00 (define @t368 () (|tptp.'fun_app$z'| @t361 @t347)) % 45.55/46.00 (define @t369 () (@list @t317 @t347 @t361 @t360)) % 45.55/46.00 (define @t370 () (@var "A__questionmark_v3" |tptp.'Enat$'|)) % 45.55/46.00 (define @t371 () (@var "A__questionmark_v2" |tptp.'Num_enat_fun$'|)) % 45.55/46.00 (define @t372 () (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| |tptp.'less_eq$d'| (|tptp.'fun_app$aa'| @t371 @t317)) @t370)) % 45.55/46.00 (define @t373 () (forall @t366 (=> @t365 (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| |tptp.'less_eq$d'| (|tptp.'fun_app$aa'| @t371 @t364)) (|tptp.'fun_app$aa'| @t371 @t363))))) % 45.55/46.00 (define @t374 () (|tptp.'fun_app$aa'| @t371 @t347)) % 45.55/46.00 (define @t375 () (@list @t317 @t347 @t371 @t370)) % 45.55/46.00 (define @t376 () (@var "A__questionmark_v2" |tptp.'Num_int_fun$'|)) % 45.55/46.00 (define @t377 () (<= (|tptp.'fun_app$ab'| @t376 @t317) @t342)) % 45.55/46.00 (define @t378 () (forall @t366 (=> @t365 (<= (|tptp.'fun_app$ab'| @t376 @t364) (|tptp.'fun_app$ab'| @t376 @t363))))) % 45.55/46.00 (define @t379 () (|tptp.'fun_app$ab'| @t376 @t347)) % 45.55/46.00 (define @t380 () (@list @t317 @t347 @t376 @t342)) % 45.55/46.00 (define @t381 () (@var "A__questionmark_v2" |tptp.'Enat_num_fun$'|)) % 45.55/46.00 (define @t382 () (|tptp.'fun_app$u'| (|tptp.'fun_app$v'| |tptp.'less_eq$c'| (|tptp.'fun_app$ac'| @t381 @t299)) @t360)) % 45.55/46.00 (define @t383 () (@var "A__questionmark_v5" |tptp.'Enat$'|)) % 45.55/46.00 (define @t384 () (@var "A__questionmark_v4" |tptp.'Enat$'|)) % 45.55/46.00 (define @t385 () (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| |tptp.'less_eq$d'| @t384) @t383)) % 45.55/46.00 (define @t386 () (@list @t384 @t383)) % 45.55/46.00 (define @t387 () (forall @t386 (=> @t385 (|tptp.'fun_app$u'| (|tptp.'fun_app$v'| |tptp.'less_eq$c'| (|tptp.'fun_app$ac'| @t381 @t384)) (|tptp.'fun_app$ac'| @t381 @t383))))) % 45.55/46.00 (define @t388 () (|tptp.'fun_app$ac'| @t381 @t353)) % 45.55/46.00 (define @t389 () (@list @t299 @t353 @t381 @t360)) % 45.55/46.00 (define @t390 () (@var "A__questionmark_v2" |tptp.'Enat_enat_fun$'|)) % 45.55/46.00 (define @t391 () (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| |tptp.'less_eq$d'| (|tptp.'fun_app$ad'| @t390 @t299)) @t370)) % 45.55/46.00 (define @t392 () (forall @t386 (=> @t385 (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| |tptp.'less_eq$d'| (|tptp.'fun_app$ad'| @t390 @t384)) (|tptp.'fun_app$ad'| @t390 @t383))))) % 45.55/46.00 (define @t393 () (|tptp.'fun_app$ad'| @t390 @t353)) % 45.55/46.00 (define @t394 () (@list @t299 @t353 @t390 @t370)) % 45.55/46.00 (define @t395 () (@var "A__questionmark_v2" |tptp.'Enat_int_fun$'|)) % 45.55/46.00 (define @t396 () (<= (|tptp.'fun_app$ae'| @t395 @t299) @t342)) % 45.55/46.00 (define @t397 () (forall @t386 (=> @t385 (<= (|tptp.'fun_app$ae'| @t395 @t384) (|tptp.'fun_app$ae'| @t395 @t383))))) % 45.55/46.00 (define @t398 () (|tptp.'fun_app$ae'| @t395 @t353)) % 45.55/46.00 (define @t399 () (@list @t299 @t353 @t395 @t342)) % 45.55/46.00 (define @t400 () (@var "A__questionmark_v2" |tptp.'Int_num_fun$'|)) % 45.55/46.00 (define @t401 () (|tptp.'fun_app$u'| (|tptp.'fun_app$v'| |tptp.'less_eq$c'| (|tptp.'fun_app$af'| @t400 @t19)) @t360)) % 45.55/46.00 (define @t402 () (@var "A__questionmark_v5" Int)) % 45.55/46.00 (define @t403 () (@var "A__questionmark_v4" Int)) % 45.55/46.00 (define @t404 () (<= @t403 @t402)) % 45.55/46.00 (define @t405 () (@list @t403 @t402)) % 45.55/46.00 (define @t406 () (forall @t405 (=> @t404 (|tptp.'fun_app$u'| (|tptp.'fun_app$v'| |tptp.'less_eq$c'| (|tptp.'fun_app$af'| @t400 @t403)) (|tptp.'fun_app$af'| @t400 @t402))))) % 45.55/46.00 (define @t407 () (|tptp.'fun_app$af'| @t400 @t18)) % 45.55/46.00 (define @t408 () (@list @t19 @t18 @t400 @t360)) % 45.55/46.00 (define @t409 () (@var "A__questionmark_v2" |tptp.'Int_enat_fun$'|)) % 45.55/46.00 (define @t410 () (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| |tptp.'less_eq$d'| (|tptp.'fun_app$ag'| @t409 @t19)) @t370)) % 45.55/46.00 (define @t411 () (forall @t405 (=> @t404 (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| |tptp.'less_eq$d'| (|tptp.'fun_app$ag'| @t409 @t403)) (|tptp.'fun_app$ag'| @t409 @t402))))) % 45.55/46.00 (define @t412 () (|tptp.'fun_app$ag'| @t409 @t18)) % 45.55/46.00 (define @t413 () (@list @t19 @t18 @t409 @t370)) % 45.55/46.00 (define @t414 () (@var "A__questionmark_v2" |tptp.'Int_int_fun$'|)) % 45.55/46.00 (define @t415 () (<= (|tptp.'fun_app$h'| @t414 @t19) @t342)) % 45.55/46.00 (define @t416 () (forall @t405 (=> @t404 (<= (|tptp.'fun_app$h'| @t414 @t403) (|tptp.'fun_app$h'| @t414 @t402))))) % 45.55/46.00 (define @t417 () (|tptp.'fun_app$h'| @t414 @t18)) % 45.55/46.00 (define @t418 () (@list @t19 @t18 @t414 @t342)) % 45.55/46.00 (define @t419 () (@var "A__questionmark_v1" |tptp.'Num_num_fun$'|)) % 45.55/46.00 (define @t420 () (|tptp.'fun_app$u'| @t318 (|tptp.'fun_app$z'| @t419 @t360))) % 45.55/46.00 (define @t421 () (forall @t366 (=> @t365 (|tptp.'fun_app$u'| (|tptp.'fun_app$v'| |tptp.'less_eq$c'| (|tptp.'fun_app$z'| @t419 @t364)) (|tptp.'fun_app$z'| @t419 @t363))))) % 45.55/46.00 (define @t422 () (@var "A__questionmark_v2" |tptp.'Num$'|)) % 45.55/46.00 (define @t423 () (|tptp.'fun_app$v'| |tptp.'less_eq$c'| @t422)) % 45.55/46.00 (define @t424 () (|tptp.'fun_app$u'| @t423 @t360)) % 45.55/46.00 (define @t425 () (|tptp.'fun_app$z'| @t419 @t422)) % 45.55/46.00 (define @t426 () (@list @t317 @t419 @t422 @t360)) % 45.55/46.00 (define @t427 () (@var "A__questionmark_v1" |tptp.'Num_enat_fun$'|)) % 45.55/46.00 (define @t428 () (|tptp.'fun_app$w'| @t320 (|tptp.'fun_app$aa'| @t427 @t360))) % 45.55/46.00 (define @t429 () (forall @t366 (=> @t365 (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| |tptp.'less_eq$d'| (|tptp.'fun_app$aa'| @t427 @t364)) (|tptp.'fun_app$aa'| @t427 @t363))))) % 45.55/46.00 (define @t430 () (|tptp.'fun_app$aa'| @t427 @t422)) % 45.55/46.00 (define @t431 () (@list @t299 @t427 @t422 @t360)) % 45.55/46.00 (define @t432 () (@var "A__questionmark_v1" |tptp.'Num_int_fun$'|)) % 45.55/46.00 (define @t433 () (<= @t19 (|tptp.'fun_app$ab'| @t432 @t360))) % 45.55/46.00 (define @t434 () (forall @t366 (=> @t365 (<= (|tptp.'fun_app$ab'| @t432 @t364) (|tptp.'fun_app$ab'| @t432 @t363))))) % 45.55/46.00 (define @t435 () (|tptp.'fun_app$ab'| @t432 @t422)) % 45.55/46.00 (define @t436 () (@list @t19 @t432 @t422 @t360)) % 45.55/46.00 (define @t437 () (@var "A__questionmark_v1" |tptp.'Enat_num_fun$'|)) % 45.55/46.00 (define @t438 () (|tptp.'fun_app$u'| @t318 (|tptp.'fun_app$ac'| @t437 @t370))) % 45.55/46.00 (define @t439 () (forall @t386 (=> @t385 (|tptp.'fun_app$u'| (|tptp.'fun_app$v'| |tptp.'less_eq$c'| (|tptp.'fun_app$ac'| @t437 @t384)) (|tptp.'fun_app$ac'| @t437 @t383))))) % 45.55/46.00 (define @t440 () (@var "A__questionmark_v2" |tptp.'Enat$'|)) % 45.55/46.00 (define @t441 () (|tptp.'fun_app$x'| |tptp.'less_eq$d'| @t440)) % 45.55/46.00 (define @t442 () (|tptp.'fun_app$w'| @t441 @t370)) % 45.55/46.00 (define @t443 () (|tptp.'fun_app$ac'| @t437 @t440)) % 45.55/46.00 (define @t444 () (@list @t317 @t437 @t440 @t370)) % 45.55/46.00 (define @t445 () (@var "A__questionmark_v1" |tptp.'Enat_enat_fun$'|)) % 45.55/46.00 (define @t446 () (|tptp.'fun_app$w'| @t320 (|tptp.'fun_app$ad'| @t445 @t370))) % 45.55/46.00 (define @t447 () (forall @t386 (=> @t385 (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| |tptp.'less_eq$d'| (|tptp.'fun_app$ad'| @t445 @t384)) (|tptp.'fun_app$ad'| @t445 @t383))))) % 45.55/46.00 (define @t448 () (|tptp.'fun_app$ad'| @t445 @t440)) % 45.55/46.00 (define @t449 () (@list @t299 @t445 @t440 @t370)) % 45.55/46.00 (define @t450 () (@var "A__questionmark_v1" |tptp.'Enat_int_fun$'|)) % 45.55/46.00 (define @t451 () (<= @t19 (|tptp.'fun_app$ae'| @t450 @t370))) % 45.55/46.00 (define @t452 () (forall @t386 (=> @t385 (<= (|tptp.'fun_app$ae'| @t450 @t384) (|tptp.'fun_app$ae'| @t450 @t383))))) % 45.55/46.00 (define @t453 () (|tptp.'fun_app$ae'| @t450 @t440)) % 45.55/46.00 (define @t454 () (@list @t19 @t450 @t440 @t370)) % 45.55/46.00 (define @t455 () (@var "A__questionmark_v1" |tptp.'Int_num_fun$'|)) % 45.55/46.00 (define @t456 () (|tptp.'fun_app$u'| @t318 (|tptp.'fun_app$af'| @t455 @t342))) % 45.55/46.00 (define @t457 () (forall @t405 (=> @t404 (|tptp.'fun_app$u'| (|tptp.'fun_app$v'| |tptp.'less_eq$c'| (|tptp.'fun_app$af'| @t455 @t403)) (|tptp.'fun_app$af'| @t455 @t402))))) % 45.55/46.00 (define @t458 () (|tptp.'fun_app$af'| @t455 @t339)) % 45.55/46.00 (define @t459 () (@list @t317 @t455 @t339 @t342)) % 45.55/46.00 (define @t460 () (@var "A__questionmark_v1" |tptp.'Int_enat_fun$'|)) % 45.55/46.00 (define @t461 () (|tptp.'fun_app$w'| @t320 (|tptp.'fun_app$ag'| @t460 @t342))) % 45.55/46.00 (define @t462 () (forall @t405 (=> @t404 (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| |tptp.'less_eq$d'| (|tptp.'fun_app$ag'| @t460 @t403)) (|tptp.'fun_app$ag'| @t460 @t402))))) % 45.55/46.00 (define @t463 () (|tptp.'fun_app$ag'| @t460 @t339)) % 45.55/46.00 (define @t464 () (@list @t299 @t460 @t339 @t342)) % 45.55/46.00 (define @t465 () (@var "A__questionmark_v1" |tptp.'Int_int_fun$'|)) % 45.55/46.00 (define @t466 () (<= @t19 (|tptp.'fun_app$h'| @t465 @t342))) % 45.55/46.00 (define @t467 () (forall @t405 (=> @t404 (<= (|tptp.'fun_app$h'| @t465 @t403) (|tptp.'fun_app$h'| @t465 @t402))))) % 45.55/46.00 (define @t468 () (|tptp.'fun_app$h'| @t465 @t339)) % 45.55/46.00 (define @t469 () (@list @t19 @t465 @t339 @t342)) % 45.55/46.00 (define @t470 () (= @t317 @t347)) % 45.55/46.00 (define @t471 () (= @t299 @t353)) % 45.55/46.00 (define @t472 () (and @t351 @t350)) % 45.55/46.00 (define @t473 () (and @t357 @t356)) % 45.55/46.00 (define @t474 () (and @t338 @t332)) % 45.55/46.00 (define @t475 () (|tptp.'fun_app$u'| @t423 @t347)) % 45.55/46.00 (define @t476 () (|tptp.'fun_app$u'| @t423 @t317)) % 45.55/46.00 (define @t477 () (@list @t317 @t347 @t422)) % 45.55/46.00 (define @t478 () (|tptp.'fun_app$w'| @t441 @t353)) % 45.55/46.00 (define @t479 () (|tptp.'fun_app$w'| @t441 @t299)) % 45.55/46.00 (define @t480 () (@list @t299 @t353 @t440)) % 45.55/46.00 (define @t481 () (<= @t339 @t18)) % 45.55/46.00 (define @t482 () (<= @t339 @t19)) % 45.55/46.00 (define @t483 () (@var "A__questionmark_v0" |tptp.'Num_num_bool_fun_fun$'|)) % 45.55/46.00 (define @t484 () (|tptp.'fun_app$u'| (|tptp.'fun_app$v'| @t483 @t360) @t364)) % 45.55/46.00 (define @t485 () (@list @t360 @t364)) % 45.55/46.00 (define @t486 () (@var "A__questionmark_v0" |tptp.'Enat_enat_bool_fun_fun$'|)) % 45.55/46.00 (define @t487 () (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| @t486 @t370) @t384)) % 45.55/46.00 (define @t488 () (@list @t370 @t384)) % 45.55/46.00 (define @t489 () (@var "A__questionmark_v0" |tptp.'Int_int_bool_fun_fun$'|)) % 45.55/46.00 (define @t490 () (|tptp.'fun_app$ah'| (|tptp.'fun_app$ai'| @t489 @t342) @t403)) % 45.55/46.00 (define @t491 () (@list @t342 @t403)) % 45.55/46.00 (define @t492 () (|tptp.'fun_app$u'| @t318 @t422)) % 45.55/46.00 (define @t493 () (|tptp.'fun_app$u'| @t349 @t422)) % 45.55/46.00 (define @t494 () (and @t351 @t493)) % 45.55/46.00 (define @t495 () (|tptp.'fun_app$w'| @t320 @t440)) % 45.55/46.00 (define @t496 () (|tptp.'fun_app$w'| @t355 @t440)) % 45.55/46.00 (define @t497 () (and @t357 @t496)) % 45.55/46.00 (define @t498 () (<= @t19 @t339)) % 45.55/46.00 (define @t499 () (<= @t18 @t339)) % 45.55/46.00 (define @t500 () (and @t338 @t499)) % 45.55/46.00 (define @t501 () (= @t18 @t339)) % 45.55/46.00 (define @t502 () (not @t351)) % 45.55/46.00 (define @t503 () (not @t357)) % 45.55/46.00 (define @t504 () (not @t338)) % 45.55/46.00 (define @t505 () (|tptp.'minus$b'| @t28 @t47)) % 45.55/46.00 (define @t506 () (@var "A__questionmark_v2" |tptp.'Int_set$'|)) % 45.55/46.00 (define @t507 () (@var "A__questionmark_v1" |tptp.'Int_set$'|)) % 45.55/46.00 (define @t508 () (|tptp.'image$g'| @t27 @t507)) % 45.55/46.00 (define @t509 () (|tptp.'fun_app$n'| @t68 @t103)) % 45.55/46.00 (define @t510 () (|tptp.'minus$c'| @t235 @t103)) % 45.55/46.00 (define @t511 () (|tptp.'less_eq$'| @t103 @t67)) % 45.55/46.00 (define @t512 () (@list @t58 @t67 @t235 @t103)) % 45.55/46.00 (define @t513 () (|tptp.'fun_app$o'| @t76 @t109)) % 45.55/46.00 (define @t514 () (|tptp.'minus$b'| @t233 @t109)) % 45.55/46.00 (define @t515 () (|tptp.'less_eq$a'| @t109)) % 45.55/46.00 (define @t516 () (|tptp.'fun_app$a'| @t515 @t47)) % 45.55/46.00 (define @t517 () (@list @t1 @t47 @t233 @t109)) % 45.55/46.00 (define @t518 () (@var "A__questionmark_v4" |tptp.'A_b_prod_ell2_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (define @t519 () (|tptp.'fun_app$n'| @t261 @t103)) % 45.55/46.00 (define @t520 () (|tptp.'comp$c'| @t54 @t52)) % 45.55/46.00 (define @t521 () (|tptp.'image$'| @t520)) % 45.55/46.00 (define @t522 () (|tptp.'comp$d'| @t58 @t61)) % 45.55/46.00 (define @t523 () (|tptp.'image$'| @t522)) % 45.55/46.00 (define @t524 () (@var "A__questionmark_v0" |tptp.'A_b_prod_ell2_set_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (define @t525 () (|tptp.'inj_on$a'| @t520 @t235)) % 45.55/46.00 (define @t526 () (|tptp.'inj_on$'| @t310)) % 45.55/46.00 (define @t527 () (|tptp.'fun_app$a'| @t526 @t233)) % 45.55/46.00 (define @t528 () (@list @t1 @t110 @t233)) % 45.55/46.00 (define @t529 () (|tptp.'fun_app$x'| |tptp.'less_eq$d'| |tptp.'zero$e'|)) % 45.55/46.00 (define @t530 () (= @t186 |tptp.'top$a'|)) % 45.55/46.00 (define @t531 () (|tptp.'less_eq$'| |tptp.'top$a'| @t186)) % 45.55/46.00 (define @t532 () (= @t250 |tptp.'top$b'|)) % 45.55/46.00 (define @t533 () (|tptp.'fun_app$m'| (|tptp.'less_eq$b'| |tptp.'top$b'|) @t250)) % 45.55/46.00 (define @t534 () (= @t299 |tptp.'top$i'|)) % 45.55/46.00 (define @t535 () (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| |tptp.'less_eq$d'| |tptp.'top$i'|) @t299)) % 45.55/46.00 (define @t536 () (|tptp.'less_eq$b'| @t250)) % 45.55/46.00 (define @t537 () (= @t250 @t105)) % 45.55/46.00 (define @t538 () (|tptp.'less_eq$'| @t103 @t235)) % 45.55/46.00 (define @t539 () (and @t538 @t537)) % 45.55/46.00 (define @t540 () (@list @t103)) % 45.55/46.00 (define @t541 () (|tptp.'fun_app$m'| @t536 @t266)) % 45.55/46.00 (define @t542 () (@list @t250 @t52 @t235)) % 45.55/46.00 (define @t543 () (|tptp.'fun_app$m'| @t308 @t239)) % 45.55/46.00 (define @t544 () (@list @t58 @t67 @t239)) % 45.55/46.00 (define @t545 () (|tptp.'fun_app$m'| (|tptp.'member$a'| @t188) @t239)) % 45.55/46.00 (define @t546 () (@list @t28 @t110 @t233)) % 45.55/46.00 (define @t547 () (|tptp.'less_eq$'| @t235 @t67)) % 45.55/46.00 (define @t548 () (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| @t233) @t47)) % 45.55/46.00 (define @t549 () (= @t134 |tptp.'top$a'|)) % 45.55/46.00 (define @t550 () (= @t120 |tptp.'top$b'|)) % 45.55/46.00 (define @t551 () (= @t138 |tptp.'top$a'|)) % 45.55/46.00 (define @t552 () (= (|tptp.'image$d'| @t163 |tptp.'top$b'|) |tptp.'top$b'|)) % 45.55/46.00 (define @t553 () (|tptp.'comp$k'| @t1 @t122)) % 45.55/46.00 (define @t554 () (@list @t1 @t122)) % 45.55/46.00 (define @t555 () (|tptp.'comp$l'| @t1 @t126)) % 45.55/46.00 (define @t556 () (@list @t1 @t126)) % 45.55/46.00 (define @t557 () (@var "A__questionmark_v1" |tptp.'Nat_b_ell2_fun$'|)) % 45.55/46.00 (define @t558 () (|tptp.'comp$h'| @t58 @t57)) % 45.55/46.00 (define @t559 () (@var "A__questionmark_v1" |tptp.'Nat_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (define @t560 () (|tptp.'inj_on$k'| @t54)) % 45.55/46.00 (define @t561 () (|tptp.'fun_app$m'| @t560 |tptp.'top$b'|)) % 45.55/46.00 (define @t562 () (|tptp.'inj_on$a'| (|tptp.'comp$d'| @t203 @t141) @t67)) % 45.55/46.00 (define @t563 () (|tptp.'image$e'| @t141 @t67)) % 45.55/46.00 (define @t564 () (|tptp.'inj_on$a'| @t203 @t563)) % 45.55/46.00 (define @t565 () (|tptp.'inj_on$b'| @t141 @t67)) % 45.55/46.00 (define @t566 () (@list @t141 @t67 @t203)) % 45.55/46.00 (define @t567 () (@var "A__questionmark_v2" |tptp.'A_b_prod_ell2_a_b_prod_ell2_fun$'|)) % 45.55/46.00 (define @t568 () (|tptp.'inj_on$a'| (|tptp.'comp$c'| @t567 @t58) @t67)) % 45.55/46.00 (define @t569 () (|tptp.'fun_app$m'| (|tptp.'inj_on$k'| @t567) @t69)) % 45.55/46.00 (define @t570 () (@list @t58 @t67 @t567)) % 45.55/46.00 (define @t571 () (|tptp.'fun_app$a'| (|tptp.'inj_on$'| (|tptp.'comp$b'| @t206 @t1)) @t47)) % 45.55/46.00 (define @t572 () (|tptp.'fun_app$a'| @t207 @t77)) % 45.55/46.00 (define @t573 () (@list @t1 @t47 @t206)) % 45.55/46.00 (define @t574 () (|tptp.'member$a'| @t146)) % 45.55/46.00 (define @t575 () (|tptp.'inj_on$b'| @t141 |tptp.'top$a'|)) % 45.55/46.00 (define @t576 () (|tptp.'fun_app$m'| @t286 |tptp.'top$b'|)) % 45.55/46.00 (define @t577 () (|tptp.'fun_app$n'| @t523 |tptp.'top$a'|)) % 45.55/46.00 (define @t578 () (|tptp.'fun_app$n'| @t521 |tptp.'top$a'|)) % 45.55/46.00 (define @t579 () (|tptp.'image$d'| @t558 |tptp.'top$b'|)) % 45.55/46.00 (define @t580 () (@list @t109)) % 45.55/46.00 (define @t581 () (@var "A__questionmark_v2" |tptp.'A_b_prod_ell2_set_bool_fun$'|)) % 45.55/46.00 (define @t582 () (|tptp.'fun_app$m'| @t581 @t509)) % 45.55/46.00 (define @t583 () (|tptp.'inj_on$a'| @t58 @t103)) % 45.55/46.00 (define @t584 () (@var "A__questionmark_v3" |tptp.'A_b_prod_ell2_set$'|)) % 45.55/46.00 (define @t585 () (|tptp.'fun_app$m'| @t581 @t584)) % 45.55/46.00 (define @t586 () (|tptp.'fun_app$m'| (|tptp.'less_eq$b'| @t584) @t69)) % 45.55/46.00 (define @t587 () (@list @t584)) % 45.55/46.00 (define @t588 () (@list @t58 @t67 @t581)) % 45.55/46.00 (define @t589 () (@var "A__questionmark_v2" |tptp.'Nat_set_bool_fun$'|)) % 45.55/46.00 (define @t590 () (|tptp.'fun_app$a'| @t589 @t513)) % 45.55/46.00 (define @t591 () (|tptp.'fun_app$a'| @t2 @t109)) % 45.55/46.00 (define @t592 () (|tptp.'fun_app$a'| @t589 @t109)) % 45.55/46.00 (define @t593 () (|tptp.'fun_app$a'| @t515 @t77)) % 45.55/46.00 (define @t594 () (@list @t1 @t47 @t589)) % 45.55/46.00 (define @t595 () (forall @t587 (=> @t586 @t585))) % 45.55/46.00 (define @t596 () (|tptp.'uug$'| @t47)) % 45.55/46.00 (define @t597 () (|tptp.'less_eq$e'| @t31 @t596)) % 45.55/46.00 (define @t598 () (@var "A__questionmark_v3" |tptp.'Nat_bool_fun$'|)) % 45.55/46.00 (define @t599 () (@var "A__questionmark_v0" |tptp.'B_ell2_bool_fun$'|)) % 45.55/46.00 (define @t600 () (<= 0 0)) % 45.55/46.00 (define @t601 () (|tptp.'inj_on$'| |tptp.'to_nat$'|)) % 45.55/46.00 (define @t602 () (|tptp.'uminus$'| @t47)) % 45.55/46.00 (define @t603 () (|tptp.'uminus$b'| @t69)) % 45.55/46.00 (define @t604 () (|tptp.'uminus$a'| @t67)) % 45.55/46.00 (define @t605 () (|tptp.'fun_app$n'| @t68 @t604)) % 45.55/46.00 (define @t606 () (not @t258)) % 45.55/46.00 (define @t607 () (|tptp.'fun_app$a'| @t113 @t602)) % 45.55/46.00 (define @t608 () (@list @t33 @t47)) % 45.55/46.00 (define @t609 () (= 0 0)) % 45.55/46.00 (define @t610 () (|tptp.'uminus$c'| @t12)) % 45.55/46.00 (define @t611 () (- @t19)) % 45.55/46.00 (define @t612 () (= @t610 |tptp.'zero$'|)) % 45.55/46.00 (define @t613 () (= @t612 @t230)) % 45.55/46.00 (define @t614 () (= @t611 0)) % 45.55/46.00 (define @t615 () (= @t614 @t302)) % 45.55/46.00 (define @t616 () (- @t18)) % 45.55/46.00 (define @t617 () (- @t20)) % 45.55/46.00 (define @t618 () (<= @t19 0)) % 45.55/46.00 (define @t619 () (<= 0 @t19)) % 45.55/46.00 (define @t620 () (|tptp.'uminus$'| @t28)) % 45.55/46.00 (define @t621 () (|tptp.'uminus$b'| @t283)) % 45.55/46.00 (define @t622 () (|tptp.'uminus$c'| |tptp.'one$'|)) % 45.55/46.00 (define @t623 () (- 1)) % 45.55/46.00 (define @t624 () (|tptp.'fpow$'| @t67)) % 45.55/46.00 (define @t625 () (and @t194 (|tptp.'fun_app$b'| @t43 @t73))) % 45.55/46.00 (define @t626 () (|tptp.'fun_app$x'| |tptp.'less_eq$d'| |tptp.'one$b'|)) % 45.55/46.00 (define @t627 () (|tptp.'fun_app$ab'| |tptp.'numeral$'| @t317)) % 45.55/46.00 (define @t628 () (|tptp.'fun_app$h'| |tptp.'dbl_inc$'| @t627)) % 45.55/46.00 (define @t629 () (- @t627)) % 45.55/46.00 (define @t630 () (|tptp.'fun_app$h'| |tptp.'dbl_dec$a'| @t627)) % 45.55/46.00 (define @t631 () (|tptp.'fun_app$ab'| |tptp.'numeral$'| @t347)) % 45.55/46.00 (define @t632 () (|tptp.'fun_app$aa'| |tptp.'numeral$a'| @t347)) % 45.55/46.00 (define @t633 () (|tptp.'fun_app$aa'| |tptp.'numeral$a'| @t317)) % 45.55/46.00 (define @t634 () (|tptp.'fun_app$x'| |tptp.'less_eq$d'| @t633)) % 45.55/46.00 (define @t635 () (|tptp.'fun_app$w'| @t634 @t632)) % 45.55/46.00 (define @t636 () (<= @t627 @t631)) % 45.55/46.00 (define @t637 () (- @t631)) % 45.55/46.00 (define @t638 () (|tptp.'numeral$b'| @t317)) % 45.55/46.00 (define @t639 () (|tptp.'fun_app$z'| |tptp.'inc$'| @t317)) % 45.55/46.00 (define @t640 () (|tptp.'fun_app$ab'| |tptp.'numeral$'| @t639)) % 45.55/46.00 (define @t641 () (|tptp.'fun_app$h'| |tptp.'dbl$'| @t627)) % 45.55/46.00 (define @t642 () (|tptp.'fun_app$u'| @t318 |tptp.'one$c'|)) % 45.55/46.00 (define @t643 () (= |tptp.'one$c'| @t317)) % 45.55/46.00 (define @t644 () (= @t317 |tptp.'one$c'|)) % 45.55/46.00 (define @t645 () (@var "A__questionmark_v0" |tptp.'Num_bool_fun$'|)) % 45.55/46.00 (define @t646 () (|tptp.'sub$'| |tptp.'one$c'|)) % 45.55/46.00 (define @t647 () (|tptp.'fun_app$ab'| @t646 @t317)) % 45.55/46.00 (define @t648 () (|tptp.'sub$'| @t317)) % 45.55/46.00 (define @t649 () (|tptp.'fun_app$ab'| @t648 @t347)) % 45.55/46.00 (define @t650 () (- @t627 @t631)) % 45.55/46.00 (define @t651 () (|tptp.'fun_app$ab'| @t648 |tptp.'one$c'|)) % 45.55/46.00 (define @t652 () (- 2)) % 45.55/46.00 (define @t653 () (|tptp.'fun_app$z'| |tptp.'bit0$'| @t347)) % 45.55/46.00 (define @t654 () (|tptp.'fun_app$z'| |tptp.'bit0$'| @t317)) % 45.55/46.00 (define @t655 () (|tptp.'fun_app$v'| |tptp.'less_eq$c'| @t654)) % 45.55/46.00 (define @t656 () (|tptp.'fun_app$ab'| |tptp.'numeral$'| @t654)) % 45.55/46.00 (define @t657 () (<= 0 @t34)) % 45.55/46.00 (define @t658 () (< @t34 @t34)) % 45.55/46.00 (define @t659 () (< 0 @t34)) % 45.55/46.00 (define @t660 () (and (=> @t38 (< @t35 0)) (=> @t39 (< @t35 @t36)))) % 45.55/46.00 (define @t661 () (= 0 @t34)) % 45.55/46.00 (define @t662 () (<= @t34 @t35)) % 45.55/46.00 (define @t663 () (|tptp.'minus$h'| @t299)) % 45.55/46.00 (define @t664 () (- @t34 @t35)) % 45.55/46.00 (define @t665 () (< @t34 @t35)) % 45.55/46.00 (define @t666 () (not @t665)) % 45.55/46.00 (define @t667 () (=> @t666 (= @t664 0))) % 45.55/46.00 (define @t668 () (=> @t665 @t609)) % 45.55/46.00 (define @t669 () (and @t668 @t667)) % 45.55/46.00 (define @t670 () (= @t34 @t35)) % 45.55/46.00 (define @t671 () (= @t36 0)) % 45.55/46.00 (define @t672 () (< @t34 0)) % 45.55/46.00 (define @t673 () (|tptp.'of_nat$'| @t73)) % 45.55/46.00 (define @t674 () (@var "A__questionmark_v0" |tptp.'Nat_bool_fun$'|)) % 45.55/46.00 (define @t675 () (|tptp.'fun_app$b'| @t674 @t73)) % 45.55/46.00 (define @t676 () (|tptp.'of_nat$'| @t42)) % 45.55/46.00 (define @t677 () (<= @t35 @t34)) % 45.55/46.00 (define @t678 () (- @t676 @t34)) % 45.55/46.00 (define @t679 () (- @t676 @t35)) % 45.55/46.00 (define @t680 () (< @t676 @t34)) % 45.55/46.00 (define @t681 () (not @t680)) % 45.55/46.00 (define @t682 () (< @t676 @t35)) % 45.55/46.00 (define @t683 () (and (=> @t680 @t600) (=> @t681 (<= 0 @t678)))) % 45.55/46.00 (define @t684 () (@list @t33 @t5 @t42)) % 45.55/46.00 (define @t685 () (- @t35 @t676)) % 45.55/46.00 (define @t686 () (< @t35 @t676)) % 45.55/46.00 (define @t687 () (not @t686)) % 45.55/46.00 (define @t688 () (<= @t36 0)) % 45.55/46.00 (define @t689 () (and (=> @t686 @t600) (=> @t687 (<= 0 @t685)))) % 45.55/46.00 (define @t690 () (- @t34 @t676)) % 45.55/46.00 (define @t691 () (< @t34 @t676)) % 45.55/46.00 (define @t692 () (not @t691)) % 45.55/46.00 (define @t693 () (- @t36 @t678)) % 45.55/46.00 (define @t694 () (- @t36 0)) % 45.55/46.00 (define @t695 () (- 0 @t678)) % 45.55/46.00 (define @t696 () (- 0 0)) % 45.55/46.00 (define @t697 () (and (=> @t38 (and (=> @t680 (< 0 0)) (=> @t681 (< 0 @t678)))) (=> @t39 (and (=> @t680 (< @t36 0)) (=> @t681 (< @t36 @t678)))))) % 45.55/46.00 (define @t698 () (<= @t34 @t676)) % 45.55/46.00 (define @t699 () (and @t662 @t698)) % 45.55/46.00 (define @t700 () (<= @t35 @t676)) % 45.55/46.00 (define @t701 () (= @t34 0)) % 45.55/46.00 (define @t702 () (<= @t34 0)) % 45.55/46.00 (define @t703 () (|tptp.'fun_app$z'| |tptp.'bitM$'| @t317)) % 45.55/46.00 (define @t704 () (|tptp.'fun_app$ab'| |tptp.'numeral$'| @t703)) % 45.55/46.00 (define @t705 () (|tptp.'fun_app$z'| |tptp.'bit1$'| @t347)) % 45.55/46.00 (define @t706 () (|tptp.'fun_app$z'| |tptp.'bit1$'| @t317)) % 45.55/46.00 (define @t707 () (|tptp.'fun_app$v'| |tptp.'less_eq$c'| @t706)) % 45.55/46.00 (define @t708 () (- @t690 @t35)) % 45.55/46.00 (define @t709 () (- @t664 @t676)) % 45.55/46.00 (define @t710 () (- 0 @t35)) % 45.55/46.00 (define @t711 () (and (=> @t691 (< 0 @t35)) (=> @t692 (< @t690 @t35)))) % 45.55/46.00 (define @t712 () (not @t711)) % 45.55/46.00 (define @t713 () (= @t709 0)) % 45.55/46.00 (define @t714 () (- 0 @t676)) % 45.55/46.00 (define @t715 () (= @t714 0)) % 45.55/46.00 (define @t716 () (and (=> @t665 (< 0 @t676)) (=> @t666 (< @t664 @t676)))) % 45.55/46.00 (define @t717 () (not @t716)) % 45.55/46.00 (define @t718 () (@list @t347)) % 45.55/46.00 (define @t719 () (+ @t19 @t18)) % 45.55/46.00 (define @t720 () (+ @t35 @t676)) % 45.55/46.00 (define @t721 () (- @t34 @t720)) % 45.55/46.00 (define @t722 () (< @t34 @t720)) % 45.55/46.00 (define @t723 () (not @t722)) % 45.55/46.00 (define @t724 () (|tptp.'plus$'| @t12 @t10)) % 45.55/46.00 (define @t725 () (= @t18 0)) % 45.55/46.00 (define @t726 () (+ @t676 @t35)) % 45.55/46.00 (define @t727 () (- @t726 @t34)) % 45.55/46.00 (define @t728 () (+ @t676 @t36)) % 45.55/46.00 (define @t729 () (< @t726 @t34)) % 45.55/46.00 (define @t730 () (not @t729)) % 45.55/46.00 (define @t731 () (+ @t676 0)) % 45.55/46.00 (define @t732 () (- @t720 @t34)) % 45.55/46.00 (define @t733 () (+ @t36 @t676)) % 45.55/46.00 (define @t734 () (< @t720 @t34)) % 45.55/46.00 (define @t735 () (not @t734)) % 45.55/46.00 (define @t736 () (+ 0 @t676)) % 45.55/46.00 (define @t737 () (|tptp.'of_nat$'| (|tptp.'nat$'| @t19))) % 45.55/46.00 (define @t738 () (= @t23 @t99)) % 45.55/46.00 (define @t739 () (not (forall @t100 (not @t738)))) % 45.55/46.00 (define @t740 () (forall @t95 @t739)) % 45.55/46.00 (define @t741 () (forall @t251 (not (forall @t119 (not (= @t13 (|tptp.'fun_app$e'| @t97 @t51))))))) % 45.55/46.00 (define @t742 () (= |tptp.'top$b'| @t98)) % 45.55/46.00 (define @t743 () (= @t742 @t741)) % 45.55/46.00 (assume @p1 (forall @t4 (= (|tptp.'fun_app$'| |tptp.'uuv$'| @t1) @t3))) % 45.55/46.00 (assume @p2 (forall @t8 (= (|tptp.'fun_app$b'| @t7 @t5) (= @t6 @t5)))) % 45.55/46.00 (assume @p3 (forall (@list @t9 @t10) (= (|tptp.'fun_app$d'| @t11 @t10) (|tptp.'fun_app$e'| (|tptp.'tensor_ell2$'| @t10) @t9)))) % 45.55/46.00 (assume @p4 (forall (@list @t12 @t13) (= (|tptp.'fun_app$f'| @t14 @t13) (|tptp.'tensor_ell2$a'| @t13 @t12)))) % 45.55/46.00 (assume @p5 (forall @t17 (= (|tptp.'fun_app$g'| @t16 @t15) (|tptp.'tensor_ell2$b'| @t15 @t12)))) % 45.55/46.00 (assume @p6 (forall @t22 (= (|tptp.'fun_app$h'| @t21 @t18) @t20))) % 45.55/46.00 (assume @p7 (forall (@list @t23 @t13) (= (|tptp.'fun_app$i'| @t24 @t13) (|tptp.'fun_app$i'| (|tptp.'minus$'| @t13) @t23)))) % 45.55/46.00 (assume @p8 (forall (@list @t9 @t15) (= (|tptp.'fun_app$j'| @t25 @t15) (|tptp.'fun_app$j'| (|tptp.'minus$a'| @t15) @t9)))) % 45.55/46.00 (assume @p9 (forall @t22 (= (|tptp.'fun_app$h'| @t27 @t18) @t26))) % 45.55/46.00 (assume @p10 (forall @t32 (= (|tptp.'fun_app$b'| @t31 @t5) @t30))) % 45.55/46.00 (assume @p11 (forall @t40 (and (=> @t38 (= @t37 (|tptp.'nat$'| 0))) (=> @t39 (= @t37 (|tptp.'nat$'| @t36)))))) % 45.55/46.00 (assume @p12 (forall @t32 (= (|tptp.'fun_app$b'| @t41 @t5) (not @t30)))) % 45.55/46.00 (assume @p13 (forall (@list @t28 @t43 @t42) (= (|tptp.'fun_app$b'| @t46 @t42) (and @t45 (|tptp.'fun_app$b'| @t43 @t42))))) % 45.55/46.00 (assume @p14 (forall @t50 (= (|tptp.'fun_app$b'| @t49 @t42) (and @t45 (not @t48))))) % 45.55/46.00 (assume @p15 (forall (@list @t54 @t52 @t51) (= (|tptp.'fun_app$e'| @t55 @t51) (|tptp.'fun_app$i'| @t54 @t53)))) % 45.55/46.00 (assume @p16 (forall (@list @t58 @t57 @t56) (= (|tptp.'fun_app$i'| @t60 @t56) @t59))) % 45.55/46.00 (assume @p17 (forall (@list @t58 @t61 @t51) (= (|tptp.'fun_app$e'| @t63 @t51) (|tptp.'fun_app$e'| @t58 @t62)))) % 45.55/46.00 (assume @p18 (forall (@list @t58 @t67 @t65 @t64) (= (|tptp.'fun_app$l'| @t72 @t64) @t71))) % 45.55/46.00 (assume @p19 (forall @t82 (= (|tptp.'fun_app$b'| @t81 @t73) @t80))) % 45.55/46.00 (assume @p20 (forall (@list @t58 @t67 @t65 @t83) (= (|tptp.'fun_app$p'| @t88 @t83) @t87))) % 45.55/46.00 (assume @p21 (forall @t82 (= (|tptp.'fun_app$b'| @t93 @t73) @t92))) % 45.55/46.00 (assume @p22 (forall @t94 (= (|tptp.'fun_app$c'| |tptp.'uuc$'| @t33) @t33))) % 45.55/46.00 (assume @p23 (forall @t95 (= (|tptp.'fun_app$l'| |tptp.'uui$'| @t23) true))) % 45.55/46.00 (assume @p24 (forall @t96 (= (|tptp.'fun_app$p'| |tptp.'uuh$'| @t9) true))) % 45.55/46.00 (assume @p25 (not (= @t98 |tptp.'top$b'|))) % 45.55/46.00 (assume @p26 @t102) % 45.55/46.00 (assume @p27 (not (= |tptp.'psi$'| |tptp.'zero$'|))) % 45.55/46.00 (assume @p28 (|tptp.'inj_on$a'| @t97 |tptp.'top$a'|)) % 45.55/46.00 (assume @p29 (forall (@list @t23 @t52 @t51 @t103) (=> (and @t108 @t107) (|tptp.'fun_app$m'| @t106 @t105)))) % 45.55/46.00 (assume @p30 (forall (@list @t33 @t110 @t42 @t109) (=> (and (= @t33 @t115) @t114) (|tptp.'fun_app$a'| @t113 @t112)))) % 45.55/46.00 (assume @p31 (forall @t94 @t116)) % 45.55/46.00 (assume @p32 (forall @t96 @t117)) % 45.55/46.00 (assume @p33 (forall @t95 @t118)) % 45.55/46.00 (assume @p34 (forall @t94 (= @t116 true))) % 45.55/46.00 (assume @p35 (forall @t96 (= @t117 true))) % 45.55/46.00 (assume @p36 (forall @t95 (= @t118 true))) % 45.55/46.00 (assume @p37 (forall (@list @t23 @t52) (=> (and @t121 (forall @t119 (=> @t108 false))) false))) % 45.55/46.00 (assume @p38 (forall (@list @t33 @t122) (=> (and @t125 (forall @t119 (=> @t123 false))) false))) % 45.55/46.00 (assume @p39 (forall (@list @t33 @t126) (=> (and @t130 (forall @t128 (=> @t127 false))) false))) % 45.55/46.00 (assume @p40 (forall @t133 (= (|tptp.'fun_app$n'| @t132 |tptp.'top$a'|) @t131))) % 45.55/46.00 (assume @p41 (forall @t137 (= (|tptp.'fun_app$n'| @t136 |tptp.'top$a'|) @t135))) % 45.55/46.00 (assume @p42 (forall @t140 (= (|tptp.'image$d'| @t60 |tptp.'top$b'|) @t139))) % 45.55/46.00 (assume @p43 (forall @t145 (=> @t144 @t143))) % 45.55/46.00 (assume @p44 (forall @t151 (=> @t150 @t148))) % 45.55/46.00 (assume @p45 (forall @t156 (=> @t155 @t154))) % 45.55/46.00 (assume @p46 (forall @t160 (=> @t159 @t158))) % 45.55/46.00 (assume @p47 (forall @t145 (=> (and @t144 (forall @t119 (=> @t142 false))) false))) % 45.55/46.00 (assume @p48 (forall @t151 (=> (and @t150 (forall @t119 (=> @t147 false))) false))) % 45.55/46.00 (assume @p49 (forall @t156 (=> (and @t155 (forall @t128 (=> @t153 false))) false))) % 45.55/46.00 (assume @p50 (forall @t160 (=> (and @t159 (forall @t128 (=> @t157 false))) false))) % 45.55/46.00 (assume @p51 (forall @t161 (=> (forall @t119 (= (|tptp.'fun_app$j'| @t141 @t62) @t51)) @t144))) % 45.55/46.00 (assume @p52 (forall @t140 (=> (forall @t128 (= @t59 @t56)) @t150))) % 45.55/46.00 (assume @p53 (forall @t162 (=> (forall @t119 (= (|tptp.'fun_app$k'| @t152 @t53) @t51)) @t155))) % 45.55/46.00 (assume @p54 (forall @t164 (=> (forall @t128 (= (|tptp.'fun_app$i'| @t54 (|tptp.'fun_app$i'| @t163 @t56)) @t56)) @t159))) % 45.55/46.00 (assume @p55 (forall @t167 (|tptp.'fun_app$m'| @t166 @t149))) % 45.55/46.00 (assume @p56 (forall (@list @t168 @t15) (|tptp.'fun_app$a'| @t170 @t169))) % 45.55/46.00 (assume @p57 (forall (@list @t171 @t13) (|tptp.'fun_app$a'| @t173 @t172))) % 45.55/46.00 (assume @p58 (forall @t175 (= (|tptp.'fun_app$e'| @t174 |tptp.'zero$a'|) |tptp.'zero$b'|))) % 45.55/46.00 (assume @p59 (forall @t96 (= (|tptp.'fun_app$e'| (|tptp.'tensor_ell2$'| |tptp.'zero$'|) @t9) |tptp.'zero$b'|))) % 45.55/46.00 (assume @p60 (forall @t180 (=> (and @t179 @t178 @t177 @t86) @t176))) % 45.55/46.00 (assume @p61 (forall @t185 (=> (and @t184 @t183 @t48 @t91) @t181))) % 45.55/46.00 (assume @p62 (forall @t190 (=> (forall (@list @t51 @t83) (=> (and (|tptp.'member$b'| @t51 @t186) @t189 (= @t53 @t188)) @t176)) @t187))) % 45.55/46.00 (assume @p63 (forall @t195 (=> (forall (@list @t42 @t73) (=> (and @t45 @t194 (= @t115 @t193)) @t181)) @t192))) % 45.55/46.00 (assume @p64 (forall @t197 (= @t179 (forall @t119 (=> @t177 (forall @t196 (=> (and @t86 @t178) @t176))))))) % 45.55/46.00 (assume @p65 (forall @t200 (= @t184 (forall @t199 (=> @t48 (forall @t198 (=> (and @t91 @t183) @t181))))))) % 45.55/46.00 (assume @p66 (forall @t202 (|tptp.'fun_app$a'| @t201 @t28))) % 45.55/46.00 (assume @p67 (forall (@list @t186 @t52 @t203) (=> (forall @t196 (=> @t189 (= @t188 @t205))) (= @t187 @t204)))) % 45.55/46.00 (assume @p68 (forall @t210 (=> (forall @t198 (=> @t194 (= @t193 @t209))) (= @t192 @t208)))) % 45.55/46.00 (assume @p69 (forall @t180 (=> (and @t179 @t177 @t86) (= @t178 @t176)))) % 45.55/46.00 (assume @p70 (forall @t185 (=> (and @t184 @t48 @t91) (= @t183 @t181)))) % 45.55/46.00 (assume @p71 (forall @t180 (=> (and @t179 (not @t176) @t177 @t86) (not @t178)))) % 45.55/46.00 (assume @p72 (forall @t185 (=> (and @t184 (not @t181) @t48 @t91) (not @t183)))) % 45.55/46.00 (assume @p73 (forall (@list @t186 @t57 @t203) (=> (forall @t196 (=> @t189 (= (|tptp.'fun_app$k'| @t57 @t205) @t83))) @t204))) % 45.55/46.00 (assume @p74 (forall @t210 (=> (forall @t198 (=> @t194 (= @t211 @t73))) @t208))) % 45.55/46.00 (assume @p75 (= |tptp.'top$a'| (|tptp.'collect$'| |tptp.'top$c'|))) % 45.55/46.00 (assume @p76 (= |tptp.'top$b'| (|tptp.'collect$a'| |tptp.'top$d'|))) % 45.55/46.00 (assume @p77 (forall @t4 (= @t3 @t214))) % 45.55/46.00 (assume @p78 (forall @t219 (= @t218 @t217))) % 45.55/46.00 (assume @p79 (forall @t220 (=> @t3 (= @t213 @t212)))) % 45.55/46.00 (assume @p80 (forall @t221 (=> @t218 (= @t216 @t215)))) % 45.55/46.00 (assume @p81 (forall @t4 (=> @t214 @t3))) % 45.55/46.00 (assume @p82 (forall @t219 (=> @t217 @t218))) % 45.55/46.00 (assume @p83 (forall @t220 (=> (and @t3 @t213) @t212))) % 45.55/46.00 (assume @p84 (forall @t221 (=> (and @t218 @t216) @t215))) % 45.55/46.00 (assume @p85 (forall (@list @t186 @t52 @t222) (=> (and (forall @t196 (=> @t189 (forall @t224 (=> (|tptp.'member$b'| @t223 @t186) (= (= (|tptp.'fun_app$e'| @t52 (|tptp.'fun_app$j'| @t222 @t83)) (|tptp.'fun_app$e'| @t52 (|tptp.'fun_app$j'| @t222 @t223))) (= @t188 (|tptp.'fun_app$e'| @t52 @t223))))))) (|tptp.'inj_on$b'| @t222 @t186)) (= (|tptp.'inj_on$a'| @t52 (|tptp.'image$e'| @t222 @t186)) @t187)))) % 45.55/46.00 (assume @p86 (forall @t210 (=> (and (forall @t198 (=> @t194 (forall @t228 (=> @t227 (= (= @t211 (|tptp.'fun_app$c'| @t110 (|tptp.'fun_app$c'| @t206 @t226))) (= @t193 (|tptp.'fun_app$c'| @t110 @t226))))))) @t208) (= (|tptp.'fun_app$a'| @t191 (|tptp.'fun_app$o'| @t225 @t28)) @t192)))) % 45.55/46.00 (assume @p87 (forall @t232 (=> (and @t231 (not @t229)) (not (= (|tptp.'tensor_ell2$c'| @t12 @t10) |tptp.'zero$c'|))))) % 45.55/46.00 (assume @p88 (forall @t17 (=> (and @t231 (not (= @t15 |tptp.'zero$a'|))) (not (= (|tptp.'fun_app$e'| @t174 @t15) |tptp.'zero$b'|))))) % 45.55/46.00 (assume @p89 (forall (@list @t1 @t5 @t233) (=> @t3 (= (|tptp.'fun_app$a'| (|tptp.'member$'| @t6) @t234) (|tptp.'fun_app$a'| @t29 @t233))))) % 45.55/46.00 (assume @p90 (forall (@list @t58 @t15 @t235) (=> @t218 (= (|tptp.'fun_app$m'| @t166 @t237) @t236)))) % 45.55/46.00 (assume @p91 (forall (@list @t168 @t15 @t235) (=> @t238 (= (|tptp.'fun_app$a'| @t170 (|tptp.'image$b'| @t168 @t235)) @t236)))) % 45.55/46.00 (assume @p92 (forall (@list @t171 @t13 @t239) (=> @t242 (= (|tptp.'fun_app$a'| @t173 (|tptp.'image$c'| @t171 @t239)) (|tptp.'fun_app$m'| @t240 @t239))))) % 45.55/46.00 (assume @p93 (forall @t243 (=> @t3 (= (= @t77 @t234) (= @t47 @t233))))) % 45.55/46.00 (assume @p94 (forall @t244 (=> @t218 (= (= @t69 @t237) (= @t67 @t235))))) % 45.55/46.00 (assume @p95 (forall @t8 (=> @t3 (= (|tptp.'fun_app$a'| @t29 (|tptp.'fun_app$o'| @t76 |tptp.'top$'|)) (exists @t199 (and (= @t5 @t182) (forall @t198 (=> (= @t5 @t89) (= @t73 @t42))))))))) % 45.55/46.00 (assume @p96 (forall @t151 (=> @t218 (= (|tptp.'fun_app$m'| @t240 @t149) (exists @t119 (and @t147 (forall @t196 (=> (= @t13 @t84) @t245)))))))) % 45.55/46.00 (assume @p97 (forall (@list @t168 @t5) (=> @t238 (= (|tptp.'fun_app$a'| @t29 @t169) (exists @t119 (and (= @t5 @t246) (forall @t196 (=> (= @t5 (|tptp.'fun_app$q'| @t168 @t83)) @t245)))))))) % 45.55/46.00 (assume @p98 (forall (@list @t171 @t5) (=> @t242 (= (|tptp.'fun_app$a'| @t29 @t172) (exists @t128 (and (= @t5 @t248) (forall @t247 (=> (= @t5 (|tptp.'fun_app$r'| @t171 @t64)) (= @t64 @t56))))))))) % 45.55/46.00 (assume @p99 (forall @t175 (=> @t231 (|tptp.'fun_app$m'| (|tptp.'inj_on$e'| (|tptp.'tensor_ell2$d'| @t12)) |tptp.'top$b'|)))) % 45.55/46.00 (assume @p100 (forall @t175 (=> @t231 (|tptp.'inj_on$a'| @t174 |tptp.'top$a'|)))) % 45.55/46.00 (assume @p101 (forall @t175 (=> @t231 (|tptp.'inj_on$f'| @t16 |tptp.'top$a'|)))) % 45.55/46.00 (assume @p102 (forall @t175 (=> @t231 (|tptp.'fun_app$m'| (|tptp.'inj_on$g'| @t14) |tptp.'top$b'|)))) % 45.55/46.00 (assume @p103 (forall @t96 (=> (not (= @t9 |tptp.'zero$a'|)) (|tptp.'inj_on$h'| @t11 |tptp.'top$e'|)))) % 45.55/46.00 (assume @p104 (exists @t94 @t116)) % 45.55/46.00 (assume @p105 (exists @t96 @t117)) % 45.55/46.00 (assume @p106 (exists @t95 @t118)) % 45.55/46.00 (assume @p107 (forall @t202 (=> (forall (@list @t5) @t30) (= |tptp.'top$'| @t28)))) % 45.55/46.00 (assume @p108 (forall @t249 (=> (forall @t100 (|tptp.'member$b'| @t15 @t186)) (= |tptp.'top$a'| @t186)))) % 45.55/46.00 (assume @p109 (forall @t252 (=> (forall @t251 (|tptp.'fun_app$m'| @t240 @t250)) (= |tptp.'top$b'| @t250)))) % 45.55/46.00 (assume @p110 (forall (@list @t9 @t67 @t56 @t253) (=> (and @t256 (= @t56 (|tptp.'fun_app$e'| @t253 @t9))) (|tptp.'fun_app$m'| @t255 @t254)))) % 45.55/46.00 (assume @p111 (forall (@list @t33 @t47 @t42 @t257) (=> (and @t258 (= @t42 (|tptp.'fun_app$c'| @t257 @t33))) (|tptp.'fun_app$a'| @t44 (|tptp.'fun_app$o'| (|tptp.'image$a'| @t257) @t47))))) % 45.55/46.00 (assume @p112 (forall @t259 (=> (forall @t247 (=> @t70 @t66)) (forall @t196 (=> @t86 @t85))))) % 45.55/46.00 (assume @p113 (forall @t260 (=> (forall @t198 (=> @t79 @t75)) (forall @t198 (=> @t91 @t90))))) % 45.55/46.00 (assume @p114 (forall (@list @t186 @t67 @t203 @t253) (=> (and @t263 (forall @t224 (=> (|tptp.'member$b'| @t223 @t67) (= (|tptp.'fun_app$e'| @t203 @t223) (|tptp.'fun_app$e'| @t253 @t223))))) (= @t262 @t254)))) % 45.55/46.00 (assume @p115 (forall @t259 (=> (exists @t247 @t71) (exists @t196 @t87)))) % 45.55/46.00 (assume @p116 (forall @t260 (=> (exists @t198 @t80) (exists @t198 @t92)))) % 45.55/46.00 (assume @p117 (forall @t268 (= @t267 (exists @t196 (and @t265 @t264))))) % 45.55/46.00 (assume @p118 (forall @t273 (= @t272 (exists @t198 (and @t270 @t269))))) % 45.55/46.00 (assume @p119 (forall (@list @t9 @t67 @t203) (=> @t256 (|tptp.'fun_app$m'| (|tptp.'member$a'| (|tptp.'fun_app$e'| @t203 @t9)) @t274)))) % 45.55/46.00 (assume @p120 (forall (@list @t33 @t47 @t206) (=> @t258 (|tptp.'fun_app$a'| (|tptp.'member$'| (|tptp.'fun_app$c'| @t206 @t33)) (|tptp.'fun_app$o'| @t225 @t47))))) % 45.55/46.00 (assume @p121 (forall (@list @t33 @t43) (= (|tptp.'fun_app$a'| @t113 (|tptp.'collect$b'| @t43)) (|tptp.'fun_app$b'| @t43 @t33)))) % 45.55/46.00 (assume @p122 (forall @t202 (= (|tptp.'collect$b'| @t31) @t28))) % 45.55/46.00 (assume @p123 (= |tptp.'top$a'| (|tptp.'collect$'| |tptp.'uuh$'|))) % 45.55/46.00 (assume @p124 (= |tptp.'top$b'| (|tptp.'collect$a'| |tptp.'uui$'|))) % 45.55/46.00 (assume @p125 (forall @t259 (= (|tptp.'collect$a'| @t72) (|tptp.'fun_app$n'| @t68 (|tptp.'collect$'| @t88))))) % 45.55/46.00 (assume @p126 (forall @t260 (= (|tptp.'collect$b'| @t81) (|tptp.'fun_app$o'| @t76 (|tptp.'collect$b'| @t93))))) % 45.55/46.00 (assume @p127 (forall @t276 (= @t275 (|tptp.'fun_app$n'| @t132 @t235)))) % 45.55/46.00 (assume @p128 (forall @t279 (= @t278 (|tptp.'fun_app$n'| @t136 @t235)))) % 45.55/46.00 (assume @p129 (forall @t268 (=> (and @t267 (forall @t196 (=> (and @t264 @t265) false))) false))) % 45.55/46.00 (assume @p130 (forall @t273 (=> (and @t272 (forall @t198 (=> (and @t269 @t270) false))) false))) % 45.55/46.00 (assume @p131 (forall (@list @t23 @t52 @t51) (=> @t108 @t121))) % 45.55/46.00 (assume @p132 (forall (@list @t33 @t122 @t51) (=> @t123 @t125))) % 45.55/46.00 (assume @p133 (forall (@list @t33 @t126 @t56) (=> @t127 @t130))) % 45.55/46.00 (assume @p134 (forall (@list @t141) (= @t144 (forall @t100 @t143)))) % 45.55/46.00 (assume @p135 @t282) % 45.55/46.00 (assume @p136 (forall (@list @t152) (= @t155 (forall @t100 @t154)))) % 45.55/46.00 (assume @p137 (forall (@list @t54) (= @t159 (forall @t251 @t158)))) % 45.55/46.00 (assume @p138 (|tptp.'fun_app$a'| (|tptp.'member$'| |tptp.'zero$d'|) |tptp.'top$'|)) % 45.55/46.00 (assume @p139 (|tptp.'member$c'| |tptp.'zero$'| |tptp.'top$e'|)) % 45.55/46.00 (assume @p140 (|tptp.'member$d'| |tptp.'zero$e'| |tptp.'top$f'|)) % 45.55/46.00 (assume @p141 (|tptp.'member$e'| 0 |tptp.'top$g'|)) % 45.55/46.00 (assume @p142 (|tptp.'fun_app$a'| @t201 |tptp.'top$'|)) % 45.55/46.00 (assume @p143 (forall @t4 (|tptp.'fun_app$a'| @t2 (|tptp.'collect$b'| @t7)))) % 45.55/46.00 (assume @p144 (forall @t288 (=> @t287 (= (|tptp.'fun_app$n'| (|tptp.'image$'| @t285) @t284) @t283)))) % 45.55/46.00 (assume @p145 (forall @t197 (=> @t179 (= (|tptp.'image$f'| @t289 @t69) @t67)))) % 45.55/46.00 (assume @p146 (forall @t200 (=> @t184 (= (|tptp.'fun_app$o'| (|tptp.'image$a'| @t290) @t77) @t47)))) % 45.55/46.00 (assume @p147 (forall (@list @t186 @t67 @t203 @t253 @t291) (=> (and @t263 (forall (@list @t292) (=> (|tptp.'member$b'| @t292 @t67) (= (|tptp.'fun_app$e'| @t203 @t292) (|tptp.'fun_app$e'| @t253 @t292))))) (= (|tptp.'fun_app$s'| @t291 @t262) (|tptp.'fun_app$s'| @t291 @t254))))) % 45.55/46.00 (assume @p148 (forall (@list @t58 @t67 @t51 @t64) (=> (and @t179 (= @t146 @t64) @t177) (= (|tptp.'fun_app$k'| @t289 @t64) @t51)))) % 45.55/46.00 (assume @p149 (forall @t185 (=> (and @t184 (= @t182 @t73) @t48) (= (|tptp.'fun_app$c'| @t290 @t73) @t42)))) % 45.55/46.00 (assume @p150 (forall (@list @t58 @t67 @t51) (=> (and @t179 @t177) (= (|tptp.'fun_app$k'| @t289 @t146) @t51)))) % 45.55/46.00 (assume @p151 (forall @t293 (=> (and @t184 @t48) (= (|tptp.'fun_app$c'| @t290 @t182) @t42)))) % 45.55/46.00 (assume @p152 (forall @t8 (=> @t3 (= (|tptp.'fun_app$c'| (|tptp.'the_inv_into$b'| |tptp.'top$'| @t1) @t6) @t5)))) % 45.55/46.00 (assume @p153 (forall @t167 (=> @t218 (= (|tptp.'fun_app$k'| (|tptp.'the_inv_into$a'| |tptp.'top$a'| @t58) @t165) @t15)))) % 45.55/46.00 (assume @p154 (forall @t288 (=> @t287 (|tptp.'inj_on$a'| @t285 @t284)))) % 45.55/46.00 (assume @p155 (forall @t197 (=> @t179 (|tptp.'fun_app$m'| (|tptp.'inj_on$i'| @t289) @t69)))) % 45.55/46.00 (assume @p156 (forall @t200 (=> @t184 (|tptp.'fun_app$a'| (|tptp.'inj_on$'| @t290) @t77)))) % 45.55/46.00 (assume @p157 (forall (@list @t58 @t67 @t56) (=> (and @t179 @t295) (= (|tptp.'fun_app$e'| @t58 @t294) @t56)))) % 45.55/46.00 (assume @p158 (forall @t293 (=> (and @t184 @t297) (= (|tptp.'fun_app$c'| @t1 @t296) @t42)))) % 45.55/46.00 (assume @p159 (forall @t175 (= @t298 @t230))) % 45.55/46.00 (assume @p160 (forall @t301 (= (= |tptp.'zero$e'| @t299) @t300))) % 45.55/46.00 (assume @p161 (forall @t304 (= @t303 @t302))) % 45.55/46.00 (assume @p162 (forall @t94 (= (|tptp.'fun_app$b'| |tptp.'top$h'| @t33) @t116))) % 45.55/46.00 (assume @p163 (forall @t96 (= (|tptp.'fun_app$p'| |tptp.'top$c'| @t9) @t117))) % 45.55/46.00 (assume @p164 (forall @t95 (= (|tptp.'fun_app$l'| |tptp.'top$d'| @t23) @t118))) % 45.55/46.00 (assume @p165 (forall @t190 (= (|tptp.'folding_insort_key_axioms$'| @t186 @t52) @t187))) % 45.55/46.00 (assume @p166 (forall @t195 (= (|tptp.'folding_insort_key_axioms$a'| @t28 @t110) @t192))) % 45.55/46.00 (assume @p167 (forall @t197 (=> @t179 (|tptp.'folding_insort_key_axioms$'| @t67 @t58)))) % 45.55/46.00 (assume @p168 (forall @t200 (=> @t184 (|tptp.'folding_insort_key_axioms$a'| @t47 @t1)))) % 45.55/46.00 (assume @p169 (forall (@list @t58 @t67 @t56 @t103) (=> (and @t179 @t295 (|tptp.'less_eq$'| @t67 @t103)) (|tptp.'member$b'| @t294 @t103)))) % 45.55/46.00 (assume @p170 (forall @t306 (=> (and @t184 @t297 (|tptp.'fun_app$a'| @t305 @t109)) (|tptp.'fun_app$a'| (|tptp.'member$'| @t296) @t109)))) % 45.55/46.00 (assume @p171 (forall @t243 (=> @t3 (= (|tptp.'fun_app$a'| @t307 @t234) (|tptp.'fun_app$a'| @t305 @t233))))) % 45.55/46.00 (assume @p172 (forall @t244 (=> @t218 (= (|tptp.'fun_app$m'| @t308 @t237) (|tptp.'less_eq$'| @t67 @t235))))) % 45.55/46.00 (assume @p173 (exists @t4 @t3)) % 45.55/46.00 (assume @p174 (forall (@list @t171 @t52 @t235 @t73) (=> (and (|tptp.'fun_app$m'| @t241 @t266) @t309 (|tptp.'fun_app$a'| @t78 (|tptp.'image$c'| @t171 @t266))) (= (|tptp.'fun_app$t'| (|tptp.'the_inv_into$c'| @t235 (|tptp.'comp$'| @t171 @t52)) @t73) (|tptp.'fun_app$t'| (|tptp.'comp$a'| (|tptp.'the_inv_into$a'| @t235 @t52) (|tptp.'the_inv_into$d'| @t266 @t171)) @t73))))) % 45.55/46.00 (assume @p175 (forall (@list @t1 @t110 @t233 @t73) (=> (and @t312 @t311 (|tptp.'fun_app$a'| @t78 (|tptp.'fun_app$o'| @t76 @t271))) (= (|tptp.'fun_app$c'| (|tptp.'the_inv_into$b'| @t233 @t310) @t73) (|tptp.'fun_app$c'| (|tptp.'comp$b'| (|tptp.'the_inv_into$b'| @t233 @t110) (|tptp.'the_inv_into$b'| @t271 @t1)) @t73))))) % 45.55/46.00 (assume @p176 (forall @t243 (=> @t3 (= (|tptp.'fun_app$o'| @t76 @t313) (|tptp.'minus$b'| @t77 @t234))))) % 45.55/46.00 (assume @p177 (forall @t244 (=> @t218 (= @t316 @t314)))) % 45.55/46.00 (assume @p178 (forall @t319 (|tptp.'fun_app$u'| @t318 @t317))) % 45.55/46.00 (assume @p179 (forall @t301 (|tptp.'fun_app$w'| @t320 @t299))) % 45.55/46.00 (assume @p180 (forall @t304 (<= @t19 @t19))) % 45.55/46.00 (assume @p181 (forall @t324 (=> @t323 @t322))) % 45.55/46.00 (assume @p182 (forall @t328 (= @t327 @t326))) % 45.55/46.00 (assume @p183 (forall @t328 (=> @t326 @t327))) % 45.55/46.00 (assume @p184 (forall @t301 (= (|tptp.'fun_app$w'| @t320 |tptp.'zero$e'|) @t300))) % 45.55/46.00 (assume @p185 (forall @t175 (= (|tptp.'fun_app$y'| @t329 @t12) |tptp.'zero$'|))) % 45.55/46.00 (assume @p186 (forall @t304 (= (- @t19 @t19) 0))) % 45.55/46.00 (assume @p187 (forall @t175 (= (|tptp.'fun_app$y'| @t329 |tptp.'zero$'|) @t12))) % 45.55/46.00 (assume @p188 (forall @t304 (= (- @t19 0) @t19))) % 45.55/46.00 (assume @p189 (forall @t22 (=> @t331 (|tptp.'member$e'| @t20 |tptp.'top$g'|)))) % 45.55/46.00 (assume @p190 (forall @t22 (= (<= 0 @t20) @t332))) % 45.55/46.00 (assume @p191 (forall @t232 (=> (and @t335 (|tptp.'member$c'| @t10 |tptp.'top$e'|)) (= @t334 @t333)))) % 45.55/46.00 (assume @p192 (forall @t22 (=> @t331 (= @t337 @t336)))) % 45.55/46.00 (assume @p193 (forall @t96 (= (|tptp.'image$e'| @t25 |tptp.'top$a'|) |tptp.'top$a'|))) % 45.55/46.00 (assume @p194 (forall @t95 (= (|tptp.'image$d'| @t24 |tptp.'top$b'|) |tptp.'top$b'|))) % 45.55/46.00 (assume @p195 (forall @t304 (= (|tptp.'image$g'| @t27 |tptp.'top$g'|) |tptp.'top$g'|))) % 45.55/46.00 (assume @p196 (forall @t22 (= @t338 (<= @t20 0)))) % 45.55/46.00 (assume @p197 (forall @t341 (= (- @t20 @t339) (- @t340 @t18)))) % 45.55/46.00 (assume @p198 (forall @t345 (=> @t344 (= @t338 @t343)))) % 45.55/46.00 (assume @p199 (forall @t341 (=> @t338 (<= @t340 @t346)))) % 45.55/46.00 (assume @p200 (forall @t341 (=> @t338 (<= (- @t339 @t18) (- @t339 @t19))))) % 45.55/46.00 (assume @p201 (forall @t345 (=> (and @t338 @t343) (<= (- @t19 @t342) @t346)))) % 45.55/46.00 (assume @p202 (forall @t345 (=> @t344 (= @t336 (= @t339 @t342))))) % 45.55/46.00 (assume @p203 (forall @t244 (|tptp.'fun_app$m'| (|tptp.'less_eq$b'| @t314) @t316))) % 45.55/46.00 (assume @p204 (forall @t352 (=> @t351 (= @t350 @t348)))) % 45.55/46.00 (assume @p205 (forall @t358 (=> @t357 (= @t356 @t354)))) % 45.55/46.00 (assume @p206 (forall @t22 (=> @t338 (= @t332 @t359)))) % 45.55/46.00 (assume @p207 (forall @t352 (=> (and (=> @t351 false) (=> @t350 false)) false))) % 45.55/46.00 (assume @p208 (forall @t358 (=> (and (=> @t357 false) (=> @t356 false)) false))) % 45.55/46.00 (assume @p209 (forall @t22 (=> (and (=> @t338 false) (=> @t332 false)) false))) % 45.55/46.00 (assume @p210 (forall @t369 (=> (and @t351 (= @t368 @t360) @t367) @t362))) % 45.55/46.00 (assume @p211 (forall @t375 (=> (and @t351 (= @t374 @t370) @t373) @t372))) % 45.55/46.00 (assume @p212 (forall @t380 (=> (and @t351 (= @t379 @t342) @t378) @t377))) % 45.55/46.00 (assume @p213 (forall @t389 (=> (and @t357 (= @t388 @t360) @t387) @t382))) % 45.55/46.00 (assume @p214 (forall @t394 (=> (and @t357 (= @t393 @t370) @t392) @t391))) % 45.55/46.00 (assume @p215 (forall @t399 (=> (and @t357 (= @t398 @t342) @t397) @t396))) % 45.55/46.00 (assume @p216 (forall @t408 (=> (and @t338 (= @t407 @t360) @t406) @t401))) % 45.55/46.00 (assume @p217 (forall @t413 (=> (and @t338 (= @t412 @t370) @t411) @t410))) % 45.55/46.00 (assume @p218 (forall @t418 (=> (and @t338 (= @t417 @t342) @t416) @t415))) % 45.55/46.00 (assume @p219 (forall @t426 (=> (and (= @t317 @t425) @t424 @t421) @t420))) % 45.55/46.00 (assume @p220 (forall @t431 (=> (and (= @t299 @t430) @t424 @t429) @t428))) % 45.55/46.00 (assume @p221 (forall @t436 (=> (and (= @t19 @t435) @t424 @t434) @t433))) % 45.55/46.00 (assume @p222 (forall @t444 (=> (and (= @t317 @t443) @t442 @t439) @t438))) % 45.55/46.00 (assume @p223 (forall @t449 (=> (and (= @t299 @t448) @t442 @t447) @t446))) % 45.55/46.00 (assume @p224 (forall @t454 (=> (and (= @t19 @t453) @t442 @t452) @t451))) % 45.55/46.00 (assume @p225 (forall @t459 (=> (and (= @t317 @t458) @t343 @t457) @t456))) % 45.55/46.00 (assume @p226 (forall @t464 (=> (and (= @t299 @t463) @t343 @t462) @t461))) % 45.55/46.00 (assume @p227 (forall @t469 (=> (and (= @t19 @t468) @t343 @t467) @t466))) % 45.55/46.00 (assume @p228 (forall @t352 (or @t351 @t350))) % 45.55/46.00 (assume @p229 (forall @t358 (or @t357 @t356))) % 45.55/46.00 (assume @p230 (forall @t22 (or @t338 @t332))) % 45.55/46.00 (assume @p231 (forall @t352 (=> @t470 @t351))) % 45.55/46.00 (assume @p232 (forall @t358 (=> @t471 @t357))) % 45.55/46.00 (assume @p233 (forall @t22 (=> @t336 @t338))) % 45.55/46.00 (assume @p234 (forall @t369 (=> (and @t351 (|tptp.'fun_app$u'| (|tptp.'fun_app$v'| |tptp.'less_eq$c'| @t368) @t360) @t367) @t362))) % 45.55/46.00 (assume @p235 (forall @t375 (=> (and @t351 (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| |tptp.'less_eq$d'| @t374) @t370) @t373) @t372))) % 45.55/46.00 (assume @p236 (forall @t380 (=> (and @t351 (<= @t379 @t342) @t378) @t377))) % 45.55/46.00 (assume @p237 (forall @t389 (=> (and @t357 (|tptp.'fun_app$u'| (|tptp.'fun_app$v'| |tptp.'less_eq$c'| @t388) @t360) @t387) @t382))) % 45.55/46.00 (assume @p238 (forall @t394 (=> (and @t357 (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| |tptp.'less_eq$d'| @t393) @t370) @t392) @t391))) % 45.55/46.00 (assume @p239 (forall @t399 (=> (and @t357 (<= @t398 @t342) @t397) @t396))) % 45.55/46.00 (assume @p240 (forall @t408 (=> (and @t338 (|tptp.'fun_app$u'| (|tptp.'fun_app$v'| |tptp.'less_eq$c'| @t407) @t360) @t406) @t401))) % 45.55/46.00 (assume @p241 (forall @t413 (=> (and @t338 (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| |tptp.'less_eq$d'| @t412) @t370) @t411) @t410))) % 45.55/46.00 (assume @p242 (forall @t418 (=> (and @t338 (<= @t417 @t342) @t416) @t415))) % 45.55/46.00 (assume @p243 (forall @t426 (=> (and (|tptp.'fun_app$u'| @t318 @t425) @t424 @t421) @t420))) % 45.55/46.00 (assume @p244 (forall @t444 (=> (and (|tptp.'fun_app$u'| @t318 @t443) @t442 @t439) @t438))) % 45.55/46.00 (assume @p245 (forall @t459 (=> (and (|tptp.'fun_app$u'| @t318 @t458) @t343 @t457) @t456))) % 45.55/46.00 (assume @p246 (forall @t431 (=> (and (|tptp.'fun_app$w'| @t320 @t430) @t424 @t429) @t428))) % 45.55/46.00 (assume @p247 (forall @t449 (=> (and (|tptp.'fun_app$w'| @t320 @t448) @t442 @t447) @t446))) % 45.55/46.00 (assume @p248 (forall @t464 (=> (and (|tptp.'fun_app$w'| @t320 @t463) @t343 @t462) @t461))) % 45.55/46.00 (assume @p249 (forall @t436 (=> (and (<= @t19 @t435) @t424 @t434) @t433))) % 45.55/46.00 (assume @p250 (forall @t454 (=> (and (<= @t19 @t453) @t442 @t452) @t451))) % 45.55/46.00 (assume @p251 (forall @t469 (=> (and (<= @t19 @t468) @t343 @t467) @t466))) % 45.55/46.00 (assume @p252 (forall @t352 (= @t470 @t472))) % 45.55/46.00 (assume @p253 (forall @t358 (= @t471 @t473))) % 45.55/46.00 (assume @p254 (forall @t22 (= @t336 @t474))) % 45.55/46.00 (assume @p255 (forall @t352 (=> @t472 @t470))) % 45.55/46.00 (assume @p256 (forall @t358 (=> @t473 @t471))) % 45.55/46.00 (assume @p257 (forall @t22 (=> @t474 @t336))) % 45.55/46.00 (assume @p258 (forall @t324 (= @t322 @t323))) % 45.55/46.00 (assume @p259 (forall @t50 (=> (and @t322 @t45) @t48))) % 45.55/46.00 (assume @p260 (forall @t328 (=> (and @t327 @t325) false))) % 45.55/46.00 (assume @p261 (forall @t328 (=> @t327 @t258))) % 45.55/46.00 (assume @p262 (forall @t328 (=> (and @t327 (=> @t326 false)) false))) % 45.55/46.00 (assume @p263 (forall @t477 (=> (and @t351 @t476) @t475))) % 45.55/46.00 (assume @p264 (forall @t480 (=> (and @t357 @t479) @t478))) % 45.55/46.00 (assume @p265 (forall @t341 (=> (and @t338 @t482) @t481))) % 45.55/46.00 (assume @p266 (forall @t352 (=> @t472 @t348))) % 45.55/46.00 (assume @p267 (forall @t358 (=> @t473 @t354))) % 45.55/46.00 (assume @p268 (forall @t22 (=> @t474 @t359))) % 45.55/46.00 (assume @p269 (forall @t352 (= @t470 (and @t350 @t351)))) % 45.55/46.00 (assume @p270 (forall @t358 (= @t471 (and @t356 @t357)))) % 45.55/46.00 (assume @p271 (forall @t22 (= @t336 (and @t332 @t338)))) % 45.55/46.00 (assume @p272 (forall (@list @t483 @t347 @t422) (=> (and (forall @t485 (=> (|tptp.'fun_app$u'| (|tptp.'fun_app$v'| |tptp.'less_eq$c'| @t360) @t364) @t484)) (forall @t485 (=> (|tptp.'fun_app$u'| (|tptp.'fun_app$v'| @t483 @t364) @t360) @t484))) (|tptp.'fun_app$u'| (|tptp.'fun_app$v'| @t483 @t347) @t422)))) % 45.55/46.00 (assume @p273 (forall (@list @t486 @t353 @t440) (=> (and (forall @t488 (=> (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| |tptp.'less_eq$d'| @t370) @t384) @t487)) (forall @t488 (=> (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| @t486 @t384) @t370) @t487))) (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| @t486 @t353) @t440)))) % 45.55/46.00 (assume @p274 (forall (@list @t489 @t18 @t339) (=> (and (forall @t491 (=> (<= @t342 @t403) @t490)) (forall @t491 (=> (|tptp.'fun_app$ah'| (|tptp.'fun_app$ai'| @t489 @t403) @t342) @t490))) (|tptp.'fun_app$ah'| (|tptp.'fun_app$ai'| @t489 @t18) @t339)))) % 45.55/46.00 (assume @p275 (forall @t477 (=> @t494 @t492))) % 45.55/46.00 (assume @p276 (forall @t480 (=> @t497 @t495))) % 45.55/46.00 (assume @p277 (forall @t341 (=> @t500 @t498))) % 45.55/46.00 (assume @p278 (forall @t477 (=> (and @t351 (= @t347 @t422)) @t492))) % 45.55/46.00 (assume @p279 (forall @t480 (=> (and @t357 (= @t353 @t440)) @t495))) % 45.55/46.00 (assume @p280 (forall @t341 (=> (and @t338 @t501) @t498))) % 45.55/46.00 (assume @p281 (forall @t477 (=> (and @t470 @t493) @t492))) % 45.55/46.00 (assume @p282 (forall @t480 (=> (and @t471 @t496) @t495))) % 45.55/46.00 (assume @p283 (forall @t341 (=> (and @t336 @t499) @t498))) % 45.55/46.00 (assume @p284 (forall @t477 (=> (and (=> @t494 false) (=> (and @t350 @t492) false) (=> (and @t492 @t475) false) (=> (and @t475 @t350) false) (=> (and @t493 @t476) false) (=> (and @t476 @t351) false)) false))) % 45.55/46.00 (assume @p285 (forall @t480 (=> (and (=> @t497 false) (=> (and @t356 @t495) false) (=> (and @t495 @t478) false) (=> (and @t478 @t356) false) (=> (and @t496 @t479) false) (=> (and @t479 @t357) false)) false))) % 45.55/46.00 (assume @p286 (forall @t341 (=> (and (=> @t500 false) (=> (and @t332 @t498) false) (=> (and @t498 @t481) false) (=> (and @t481 @t332) false) (=> (and @t499 @t482) false) (=> (and @t482 @t338) false)) false))) % 45.55/46.00 (assume @p287 (forall @t352 (= @t502 (and @t350 (not @t348))))) % 45.55/46.00 (assume @p288 (forall @t358 (= @t503 (and @t356 (not @t354))))) % 45.55/46.00 (assume @p289 (forall @t22 (= @t504 (and @t332 (not @t359))))) % 45.55/46.00 (assume @p290 (forall @t324 (= @t505 (|tptp.'collect$b'| @t49)))) % 45.55/46.00 (assume @p291 (forall (@list @t28 @t43) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'collect$b'| @t46)) @t28))) % 45.55/46.00 (assume @p292 (forall (@list @t19 @t507 @t506) (= (|tptp.'image$g'| @t27 (|tptp.'minus$f'| @t507 @t506)) (|tptp.'minus$f'| @t508 (|tptp.'image$g'| @t27 @t506))))) % 45.55/46.00 (assume @p293 (forall @t512 (=> (and @t179 (|tptp.'less_eq$'| @t510 @t67) @t511) (= (|tptp.'fun_app$n'| @t68 @t510) (|tptp.'minus$d'| @t237 @t509))))) % 45.55/46.00 (assume @p294 (forall @t517 (=> (and @t184 (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| @t514) @t47) @t516) (= (|tptp.'fun_app$o'| @t76 @t514) (|tptp.'minus$b'| @t234 @t513))))) % 45.55/46.00 (assume @p295 (forall (@list @t58 @t67 @t203 @t103 @t518) (=> (= @t69 @t519) (= (|tptp.'fun_app$n'| (|tptp.'image$'| (|tptp.'comp$c'| @t518 @t58)) @t67) (|tptp.'fun_app$n'| (|tptp.'image$'| (|tptp.'comp$c'| @t518 @t203)) @t103))))) % 45.55/46.00 (assume @p296 (forall @t276 (= @t275 (|tptp.'fun_app$n'| @t521 @t235)))) % 45.55/46.00 (assume @p297 (forall @t279 (= @t278 (|tptp.'fun_app$n'| @t523 @t235)))) % 45.55/46.00 (assume @p298 (forall (@list @t524 @t163 @t203 @t103) (= (|tptp.'fun_app$s'| @t524 (|tptp.'image$d'| @t163 @t519)) (|tptp.'fun_app$s'| @t524 (|tptp.'fun_app$n'| (|tptp.'image$'| (|tptp.'comp$c'| @t163 @t203)) @t103))))) % 45.55/46.00 (assume @p299 (forall (@list @t524 @t52 @t222 @t103) (= (|tptp.'fun_app$s'| @t524 (|tptp.'fun_app$n'| @t104 (|tptp.'image$e'| @t222 @t103))) (|tptp.'fun_app$s'| @t524 (|tptp.'fun_app$n'| (|tptp.'image$'| (|tptp.'comp$d'| @t52 @t222)) @t103))))) % 45.55/46.00 (assume @p300 (forall @t276 (=> @t525 @t309))) % 45.55/46.00 (assume @p301 (forall @t528 (=> @t527 @t311))) % 45.55/46.00 (assume @p302 (forall @t232 (= @t333 @t334))) % 45.55/46.00 (assume @p303 (forall @t22 (= @t336 @t337))) % 45.55/46.00 (assume @p304 (forall @t301 (|tptp.'fun_app$w'| @t529 @t299))) % 45.55/46.00 (assume @p305 (forall @t249 (=> @t531 @t530))) % 45.55/46.00 (assume @p306 (forall @t252 (=> @t533 @t532))) % 45.55/46.00 (assume @p307 (forall @t301 (=> @t535 @t534))) % 45.55/46.00 (assume @p308 (forall @t249 (= @t531 @t530))) % 45.55/46.00 (assume @p309 (forall @t252 (= @t533 @t532))) % 45.55/46.00 (assume @p310 (forall @t301 (= @t535 @t534))) % 45.55/46.00 (assume @p311 (forall @t249 (|tptp.'less_eq$'| @t186 |tptp.'top$a'|))) % 45.55/46.00 (assume @p312 (forall @t252 (|tptp.'fun_app$m'| @t536 |tptp.'top$b'|))) % 45.55/46.00 (assume @p313 (forall @t301 (|tptp.'fun_app$w'| @t320 |tptp.'top$i'|))) % 45.55/46.00 (assume @p314 (forall @t542 (= @t541 (exists @t540 @t539)))) % 45.55/46.00 (assume @p315 (forall @t544 (= @t543 (forall @t196 (=> @t86 (|tptp.'fun_app$m'| (|tptp.'member$a'| @t84) @t239)))))) % 45.55/46.00 (assume @p316 (forall @t243 (= (|tptp.'fun_app$a'| @t307 @t233) (forall @t198 (=> @t91 (|tptp.'fun_app$a'| (|tptp.'member$'| @t89) @t233)))))) % 45.55/46.00 (assume @p317 (forall @t542 (=> (and @t541 (forall @t540 (=> @t539 false))) false))) % 45.55/46.00 (assume @p318 (forall (@list @t186 @t52 @t239) (=> (forall @t196 (=> @t189 @t545)) (|tptp.'fun_app$m'| (|tptp.'less_eq$b'| (|tptp.'fun_app$n'| @t104 @t186)) @t239)))) % 45.55/46.00 (assume @p319 (forall @t546 (=> (forall @t198 (=> @t194 (|tptp.'fun_app$a'| (|tptp.'member$'| @t193) @t233))) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$o'| @t111 @t28)) @t233)))) % 45.55/46.00 (assume @p320 (forall (@list @t186 @t67 @t203) (=> (|tptp.'less_eq$'| @t186 @t67) (|tptp.'fun_app$m'| (|tptp.'less_eq$b'| @t262) @t274)))) % 45.55/46.00 (assume @p321 (forall @t244 (=> @t179 (|tptp.'inj_on$a'| @t58 @t315)))) % 45.55/46.00 (assume @p322 (forall @t243 (=> @t184 (|tptp.'fun_app$a'| @t2 @t313)))) % 45.55/46.00 (assume @p323 (forall @t244 (=> (and @t179 @t547) (|tptp.'inj_on$a'| @t58 @t235)))) % 45.55/46.00 (assume @p324 (forall @t243 (=> (and @t184 @t548) (|tptp.'fun_app$a'| @t2 @t233)))) % 45.55/46.00 (assume @p325 (forall @t161 (=> (and @t144 @t549) (= (|tptp.'image$e'| (|tptp.'comp$e'| @t61 @t141) |tptp.'top$a'|) |tptp.'top$a'|)))) % 45.55/46.00 (assume @p326 (forall (@list @t141 @t52) (=> (and @t144 @t550) (= (|tptp.'fun_app$n'| (|tptp.'image$'| (|tptp.'comp$d'| @t52 @t141)) |tptp.'top$a'|) |tptp.'top$b'|)))) % 45.55/46.00 (assume @p327 (forall @t140 (=> (and @t150 @t551) (= (|tptp.'image$e'| (|tptp.'comp$f'| @t57 @t58) |tptp.'top$a'|) |tptp.'top$a'|)))) % 45.55/46.00 (assume @p328 (forall (@list @t58 @t163) (=> (and @t150 @t552) (= (|tptp.'fun_app$n'| (|tptp.'image$'| (|tptp.'comp$c'| @t163 @t58)) |tptp.'top$a'|) |tptp.'top$b'|)))) % 45.55/46.00 (assume @p329 (forall (@list @t152 @t61) (=> (and @t155 @t549) (= (|tptp.'image$f'| (|tptp.'comp$g'| @t61 @t152) |tptp.'top$b'|) |tptp.'top$a'|)))) % 45.55/46.00 (assume @p330 (forall @t162 (=> (and @t155 @t550) (= (|tptp.'image$d'| (|tptp.'comp$h'| @t52 @t152) |tptp.'top$b'|) |tptp.'top$b'|)))) % 45.55/46.00 (assume @p331 (forall (@list @t54 @t57) (=> (and @t159 @t551) (= (|tptp.'image$f'| (|tptp.'comp$i'| @t57 @t54) |tptp.'top$b'|) |tptp.'top$a'|)))) % 45.55/46.00 (assume @p332 (forall @t164 (=> (and @t159 @t552) (= (|tptp.'image$d'| (|tptp.'comp$j'| @t163 @t54) |tptp.'top$b'|) |tptp.'top$b'|)))) % 45.55/46.00 (assume @p333 (forall (@list @t1 @t110) (=> (and @t3 (|tptp.'fun_app$a'| @t191 |tptp.'top$'|)) (|tptp.'fun_app$a'| @t526 |tptp.'top$'|)))) % 45.55/46.00 (assume @p334 (forall @t554 (=> (and @t3 (|tptp.'inj_on$c'| @t122 |tptp.'top$a'|)) (|tptp.'inj_on$c'| @t553 |tptp.'top$a'|)))) % 45.55/46.00 (assume @p335 (forall @t556 (=> (and @t3 (|tptp.'fun_app$m'| (|tptp.'inj_on$d'| @t126) |tptp.'top$b'|)) (|tptp.'fun_app$m'| (|tptp.'inj_on$d'| @t555) |tptp.'top$b'|)))) % 45.55/46.00 (assume @p336 (forall (@list @t168 @t557) (=> (and @t238 (|tptp.'fun_app$a'| (|tptp.'inj_on$j'| @t557) |tptp.'top$'|)) (|tptp.'fun_app$a'| (|tptp.'inj_on$'| (|tptp.'comp$m'| @t168 @t557)) |tptp.'top$'|)))) % 45.55/46.00 (assume @p337 (forall @t137 (=> (and @t218 (|tptp.'inj_on$b'| @t61 |tptp.'top$a'|)) (|tptp.'inj_on$a'| @t522 |tptp.'top$a'|)))) % 45.55/46.00 (assume @p338 (forall @t140 (=> (and @t218 (|tptp.'fun_app$m'| (|tptp.'inj_on$i'| @t57) |tptp.'top$b'|)) (|tptp.'fun_app$m'| (|tptp.'inj_on$k'| @t558) |tptp.'top$b'|)))) % 45.55/46.00 (assume @p339 (forall (@list @t171 @t559) (=> (and @t242 (|tptp.'fun_app$a'| (|tptp.'inj_on$l'| @t559) |tptp.'top$'|)) (|tptp.'fun_app$a'| (|tptp.'inj_on$'| (|tptp.'comp$n'| @t171 @t559)) |tptp.'top$'|)))) % 45.55/46.00 (assume @p340 (forall @t133 (=> (and @t561 (|tptp.'inj_on$a'| @t52 |tptp.'top$a'|)) (|tptp.'inj_on$a'| @t520 |tptp.'top$a'|)))) % 45.55/46.00 (assume @p341 (forall @t566 (=> (and @t565 @t564) @t562))) % 45.55/46.00 (assume @p342 (forall @t570 (=> (and @t179 @t569) @t568))) % 45.55/46.00 (assume @p343 (forall @t573 (=> (and @t184 @t572) @t571))) % 45.55/46.00 (assume @p344 (forall @t276 (=> @t525 (|tptp.'fun_app$m'| @t560 @t266)))) % 45.55/46.00 (assume @p345 (forall @t279 (=> (|tptp.'inj_on$a'| @t522 @t235) (|tptp.'inj_on$a'| @t58 @t277)))) % 45.55/46.00 (assume @p346 (forall @t528 (=> @t527 @t312))) % 45.55/46.00 (assume @p347 (forall @t566 (=> @t565 (= @t564 @t562)))) % 45.55/46.00 (assume @p348 (forall @t570 (=> @t179 (= @t569 @t568)))) % 45.55/46.00 (assume @p349 (forall @t573 (=> @t184 (= @t572 @t571)))) % 45.55/46.00 (assume @p350 (forall (@list @t58 @t283 @t51) (=> (|tptp.'fun_app$m'| (|tptp.'less_eq$b'| @t149) @t283) (|tptp.'fun_app$m'| @t574 @t283)))) % 45.55/46.00 (assume @p351 (forall (@list @t168 @t47 @t51) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| @t169) @t47) (|tptp.'fun_app$a'| (|tptp.'member$'| @t246) @t47)))) % 45.55/46.00 (assume @p352 (forall (@list @t171 @t47 @t56) (=> (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| @t172) @t47) (|tptp.'fun_app$a'| (|tptp.'member$'| @t248) @t47)))) % 45.55/46.00 (assume @p353 (forall @t512 (=> (and @t179 @t547 @t511) (= (= @t237 @t509) (= @t235 @t103))))) % 45.55/46.00 (assume @p354 (forall @t517 (=> (and @t184 @t548 @t516) (= (= @t234 @t513) (= @t233 @t109))))) % 45.55/46.00 (assume @p355 (forall (@list @t58 @t67 @t51 @t103) (=> (and @t179 @t177 @t511) (= (|tptp.'fun_app$m'| @t574 @t509) @t107)))) % 45.55/46.00 (assume @p356 (forall @t306 (=> (and @t184 @t48 @t516) (= (|tptp.'fun_app$a'| (|tptp.'member$'| @t182) @t513) @t114)))) % 45.55/46.00 (assume @p357 (forall @t96 (|tptp.'inj_on$b'| @t25 |tptp.'top$a'|))) % 45.55/46.00 (assume @p358 (forall @t95 (|tptp.'fun_app$m'| (|tptp.'inj_on$k'| @t24) |tptp.'top$b'|))) % 45.55/46.00 (assume @p359 (forall @t304 (|tptp.'inj_on$m'| @t27 |tptp.'top$g'|))) % 45.55/46.00 (assume @p360 (= |tptp.'zero$'| |tptp.'zero$'|)) % 45.55/46.00 (assume @p361 (forall @t96 (= (|tptp.'image$e'| (|tptp.'minus$a'| @t9) |tptp.'top$a'|) |tptp.'top$a'|))) % 45.55/46.00 (assume @p362 (forall @t95 (= (|tptp.'image$d'| (|tptp.'minus$'| @t23) |tptp.'top$b'|) |tptp.'top$b'|))) % 45.55/46.00 (assume @p363 (forall @t304 (= (|tptp.'image$g'| @t21 |tptp.'top$g'|) |tptp.'top$g'|))) % 45.55/46.00 (assume @p364 (forall @t554 (=> (and (= (|tptp.'image$b'| @t553 |tptp.'top$a'|) |tptp.'top$'|) @t3) (= @t124 |tptp.'top$'|)))) % 45.55/46.00 (assume @p365 (forall @t161 (=> (and (= (|tptp.'image$e'| (|tptp.'comp$e'| @t141 @t61) |tptp.'top$a'|) |tptp.'top$a'|) @t575) @t549))) % 45.55/46.00 (assume @p366 (forall @t162 (=> (and (= (|tptp.'image$e'| (|tptp.'comp$f'| @t152 @t52) |tptp.'top$a'|) |tptp.'top$a'|) @t576) @t550))) % 45.55/46.00 (assume @p367 (forall @t137 (=> (and (= @t577 |tptp.'top$b'|) @t218) @t549))) % 45.55/46.00 (assume @p368 (forall @t133 (=> (and (= @t578 |tptp.'top$b'|) @t561) @t550))) % 45.55/46.00 (assume @p369 (forall @t556 (=> (and (= (|tptp.'image$c'| @t555 |tptp.'top$b'|) |tptp.'top$'|) @t3) (= @t129 |tptp.'top$'|)))) % 45.55/46.00 (assume @p370 (forall (@list @t141 @t57) (=> (and (= (|tptp.'image$f'| (|tptp.'comp$g'| @t141 @t57) |tptp.'top$b'|) |tptp.'top$a'|) @t575) @t551))) % 45.55/46.00 (assume @p371 (forall (@list @t152 @t163) (=> (and (= (|tptp.'image$f'| (|tptp.'comp$i'| @t152 @t163) |tptp.'top$b'|) |tptp.'top$a'|) @t576) @t552))) % 45.55/46.00 (assume @p372 (forall @t140 (=> (and (= @t579 |tptp.'top$b'|) @t218) @t551))) % 45.55/46.00 (assume @p373 (forall @t164 (=> (and (= (|tptp.'image$d'| (|tptp.'comp$j'| @t54 @t163) |tptp.'top$b'|) |tptp.'top$b'|) @t561) @t552))) % 45.55/46.00 (assume @p374 (forall @t542 (= @t541 (exists @t540 (and @t538 (|tptp.'inj_on$a'| @t52 @t103) @t537))))) % 45.55/46.00 (assume @p375 (forall @t546 (= (|tptp.'fun_app$a'| @t321 @t271) (exists @t580 (and (|tptp.'fun_app$a'| @t515 @t233) (|tptp.'fun_app$a'| @t191 @t109) (= @t28 @t112)))))) % 45.55/46.00 (assume @p376 (forall @t588 (= (exists @t587 (and @t586 @t585)) (exists @t540 (and @t511 @t583 @t582))))) % 45.55/46.00 (assume @p377 (forall @t594 (= (exists @t580 (and @t593 @t592)) (exists @t580 (and @t516 @t591 @t590))))) % 45.55/46.00 (assume @p378 (forall @t588 (= @t595 (forall @t540 (=> (and @t511 @t583) @t582))))) % 45.55/46.00 (assume @p379 (forall @t594 (= (forall @t580 (=> @t593 @t592)) (forall @t580 (=> (and @t516 @t591) @t590))))) % 45.55/46.00 (assume @p380 (forall @t324 (= @t322 @t597))) % 45.55/46.00 (assume @p381 (forall @t324 (= @t597 @t322))) % 45.55/46.00 (assume @p382 (forall @t324 (= @t505 (|tptp.'collect$b'| (|tptp.'minus$g'| @t31 @t596))))) % 45.55/46.00 (assume @p383 (forall (@list @t33 @t47 @t233 @t598) (=> (and @t258 (|tptp.'fun_app$a'| @t305 (|tptp.'collect$b'| (|tptp.'uut$'| @t233 @t598)))) (|tptp.'fun_app$b'| @t598 @t33)))) % 45.55/46.00 (assume @p384 (forall (@list @t599 @t52 @t239) (=> (forall @t196 (=> (|tptp.'fun_app$p'| @t599 @t83) @t545)) (|tptp.'fun_app$m'| (|tptp.'less_eq$b'| (|tptp.'fun_app$n'| @t104 (|tptp.'collect$'| @t599))) @t239)))) % 45.55/46.00 (assume @p385 (forall @t133 (= @t578 @t131))) % 45.55/46.00 (assume @p386 (forall @t137 (= @t577 @t135))) % 45.55/46.00 (assume @p387 (forall @t140 (= @t579 @t139))) % 45.55/46.00 (assume @p388 (forall @t22 (= @t338 (<= 0 @t26)))) % 45.55/46.00 (assume @p389 (forall @t588 (= @t595 (forall @t540 (=> @t511 @t582))))) % 45.55/46.00 (assume @p390 (|tptp.'fun_app$w'| @t529 |tptp.'zero$e'|)) % 45.55/46.00 (assume @p391 @t600) % 45.55/46.00 (assume @p392 (|tptp.'fun_app$a'| @t601 |tptp.'top$'|)) % 45.55/46.00 (assume @p393 (forall (@list @t28 @t47 @t74 @t598) (=> (and @t322 (forall @t228 (=> (and @t227 (|tptp.'fun_app$b'| @t74 @t226)) (|tptp.'fun_app$b'| @t598 @t226)))) (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'collect$b'| (|tptp.'uut$'| @t28 @t74))) (|tptp.'collect$b'| (|tptp.'uut$'| @t47 @t598)))))) % 45.55/46.00 (assume @p394 (forall (@list @t28 @t47 @t74) (=> @t322 (= (|tptp.'fun_app$a'| @t321 (|tptp.'collect$b'| (|tptp.'uut$'| @t47 @t74))) (forall @t198 (=> @t194 @t75)))))) % 45.55/46.00 (assume @p395 (forall @t202 (|tptp.'fun_app$a'| @t601 @t28))) % 45.55/46.00 (assume @p396 (forall @t200 (=> @t3 (|tptp.'fun_app$a'| (|tptp.'less_eq$a'| (|tptp.'fun_app$o'| @t76 @t602)) (|tptp.'uminus$'| @t77))))) % 45.55/46.00 (assume @p397 (forall @t197 (=> @t218 (|tptp.'fun_app$m'| (|tptp.'less_eq$b'| @t605) @t603)))) % 45.55/46.00 (assume @p398 (forall @t608 (= @t607 @t606))) % 45.55/46.00 (assume @p399 (forall @t608 (=> (=> @t258 false) @t607))) % 45.55/46.00 (assume @p400 (= (|tptp.'uminus$c'| |tptp.'zero$'|) |tptp.'zero$'|)) % 45.55/46.00 (assume @p401 @t609) % 45.55/46.00 (assume @p402 (forall @t175 (= (= |tptp.'zero$'| @t610) @t298))) % 45.55/46.00 (assume @p403 (forall @t304 (= (= 0 @t611) @t303))) % 45.55/46.00 (assume @p404 (forall @t175 @t613)) % 45.55/46.00 (assume @p405 (forall @t304 @t615)) % 45.55/46.00 (assume @p406 (forall @t304 (= (= @t19 @t611) @t302))) % 45.55/46.00 (assume @p407 (forall @t304 (= (= @t611 @t19) @t302))) % 45.55/46.00 (assume @p408 (forall @t22 (= (<= @t611 @t616) @t332))) % 45.55/46.00 (assume @p409 (forall @t22 (= @t617 @t26))) % 45.55/46.00 (assume @p410 (forall @t304 (= (<= 0 @t611) @t618))) % 45.55/46.00 (assume @p411 (forall @t304 (= (<= @t611 0) @t619))) % 45.55/46.00 (assume @p412 (forall @t304 (= (<= @t19 @t611) @t618))) % 45.55/46.00 (assume @p413 (forall @t304 (= (<= @t611 @t19) @t619))) % 45.55/46.00 (assume @p414 (forall @t175 (=> @t335 @t613))) % 45.55/46.00 (assume @p415 (forall @t304 (=> @t330 @t615))) % 45.55/46.00 (assume @p416 (forall @t175 (= (|tptp.'fun_app$y'| (|tptp.'minus$e'| |tptp.'zero$'|) @t12) @t610))) % 45.55/46.00 (assume @p417 (forall @t304 (= (- 0 @t19) @t611))) % 45.55/46.00 (assume @p418 (forall @t608 (=> @t607 @t606))) % 45.55/46.00 (assume @p419 (forall @t202 (= @t620 (|tptp.'collect$b'| @t41)))) % 45.55/46.00 (assume @p420 (forall @t22 (= (- @t611 @t18) (- @t616 @t19)))) % 45.55/46.00 (assume @p421 (forall @t22 (=> @t338 (<= @t616 @t611)))) % 45.55/46.00 (assume @p422 (forall @t22 (= (<= @t611 @t18) (<= @t616 @t19)))) % 45.55/46.00 (assume @p423 (forall @t22 (= (<= @t19 @t616) (<= @t18 @t611)))) % 45.55/46.00 (assume @p424 (forall @t175 (=> (and @t335 @t231) (not @t612)))) % 45.55/46.00 (assume @p425 (forall @t304 (=> (and @t330 (not @t302)) (not @t614)))) % 45.55/46.00 (assume @p426 (forall @t249 (= (|tptp.'uminus$a'| @t186) (|tptp.'minus$c'| |tptp.'top$a'| @t186)))) % 45.55/46.00 (assume @p427 (forall @t252 (= (|tptp.'uminus$b'| @t250) (|tptp.'minus$d'| |tptp.'top$b'| @t250)))) % 45.55/46.00 (assume @p428 (forall (@list @t19 @t507) (= (|tptp.'image$g'| @t27 (|tptp.'uminus$d'| @t507)) (|tptp.'uminus$d'| @t508)))) % 45.55/46.00 (assume @p429 (forall (@list @t141 @t67) (=> @t144 (|tptp.'less_eq$'| (|tptp.'uminus$a'| @t563) (|tptp.'image$e'| @t141 @t604))))) % 45.55/46.00 (assume @p430 (forall @t197 (=> @t150 (|tptp.'fun_app$m'| (|tptp.'less_eq$b'| @t603) @t605)))) % 45.55/46.00 (assume @p431 (forall @t288 (=> @t155 (|tptp.'less_eq$'| (|tptp.'uminus$a'| @t284) (|tptp.'image$f'| @t152 @t621))))) % 45.55/46.00 (assume @p432 (forall (@list @t54 @t283) (=> @t159 (|tptp.'fun_app$m'| (|tptp.'less_eq$b'| (|tptp.'uminus$b'| (|tptp.'image$d'| @t54 @t283))) (|tptp.'image$d'| @t54 @t621))))) % 45.55/46.00 (assume @p433 (forall @t22 (= (- @t611 @t616) @t617))) % 45.55/46.00 (assume @p434 (forall @t202 (= @t620 (|tptp.'collect$b'| (|tptp.'uminus$e'| @t31))))) % 45.55/46.00 (assume @p435 (forall @t352 (or @t470 @t502 (not @t350)))) % 45.55/46.00 (assume @p436 (forall @t358 (or @t471 @t503 (not @t356)))) % 45.55/46.00 (assume @p437 (forall @t22 (or @t336 @t504 (not @t332)))) % 45.55/46.00 (assume @p438 (= (|tptp.'fun_app$y'| (|tptp.'minus$e'| @t622) @t622) |tptp.'zero$'|)) % 45.55/46.00 (assume @p439 (= (- @t623 @t623) 0)) % 45.55/46.00 (assume @p440 (= |tptp.'to_nat$'| (|tptp.'eps$'| |tptp.'uuv$'|))) % 45.55/46.00 (assume @p441 (forall @t197 (=> @t179 (|tptp.'inj_on$n'| @t68 @t624)))) % 45.55/46.00 (assume @p442 (forall @t200 (=> @t184 (|tptp.'inj_on$o'| @t76 (|tptp.'fpow$a'| @t47))))) % 45.55/46.00 (assume @p443 (|tptp.'fun_app$a'| (|tptp.'member$'| |tptp.'one$a'|) |tptp.'top$'|)) % 45.55/46.00 (assume @p444 (|tptp.'member$e'| 1 |tptp.'top$g'|)) % 45.55/46.00 (assume @p445 (= (|tptp.'fun_app$y'| (|tptp.'minus$e'| |tptp.'one$'|) |tptp.'one$'|) |tptp.'zero$'|)) % 45.55/46.00 (assume @p446 (= (- 1 1) 0)) % 45.55/46.00 (assume @p447 (not (= 1 @t623))) % 45.55/46.00 (assume @p448 (forall (@list @t28 @t43 @t74) (=> (and (exists @t198 @t625) (forall @t198 (=> @t625 @t75))) (|tptp.'fun_app$b'| @t74 (|tptp.'eps$a'| @t46))))) % 45.55/46.00 (assume @p449 (forall @t304 (= (= 1 @t19) (= @t19 1)))) % 45.55/46.00 (assume @p450 (not (= |tptp.'zero$'| |tptp.'one$'|))) % 45.55/46.00 (assume @p451 (|tptp.'fun_app$w'| @t626 |tptp.'one$b'|)) % 45.55/46.00 (assume @p452 (<= 1 1)) % 45.55/46.00 (assume @p453 (not (= @t622 |tptp.'zero$'|))) % 45.55/46.00 (assume @p454 (not (= |tptp.'zero$'| @t622))) % 45.55/46.00 (assume @p455 (not (= 0 @t623))) % 45.55/46.00 (assume @p456 (<= @t623 1)) % 45.55/46.00 (assume @p457 (not (<= 1 @t623))) % 45.55/46.00 (assume @p458 (not (<= 0 @t623))) % 45.55/46.00 (assume @p459 (<= @t623 0)) % 45.55/46.00 (assume @p460 (forall @t544 (=> @t543 (|tptp.'less_eq$f'| (|tptp.'image$h'| @t68 @t624) (|tptp.'fpow$b'| @t239))))) % 45.55/46.00 (assume @p461 (not (|tptp.'fun_app$w'| @t626 |tptp.'zero$e'|))) % 45.55/46.00 (assume @p462 (not (<= 1 0))) % 45.55/46.00 (assume @p463 (|tptp.'fun_app$w'| @t529 |tptp.'one$b'|)) % 45.55/46.00 (assume @p464 (<= 0 1)) % 45.55/46.00 (assume @p465 (not (= |tptp.'zero$e'| |tptp.'one$b'|))) % 45.55/46.00 (assume @p466 (not (= 0 1))) % 45.55/46.00 (assume @p467 (= (|tptp.'dbl_dec$'| |tptp.'zero$'|) @t622)) % 45.55/46.00 (assume @p468 (= (|tptp.'fun_app$h'| |tptp.'dbl_dec$a'| 0) @t623)) % 45.55/46.00 (assume @p469 (= (|tptp.'fun_app$h'| |tptp.'dbl_dec$a'| 1) 1)) % 45.55/46.00 (assume @p470 (= (|tptp.'fun_app$h'| |tptp.'dbl_inc$'| @t623) @t623)) % 45.55/46.00 (assume @p471 (= (|tptp.'dbl_inc$a'| |tptp.'zero$'|) |tptp.'one$'|)) % 45.55/46.00 (assume @p472 (= (|tptp.'fun_app$h'| |tptp.'dbl_inc$'| 0) 1)) % 45.55/46.00 (assume @p473 (forall @t319 (= (|tptp.'fun_app$h'| |tptp.'dbl_dec$a'| @t629) (- @t628)))) % 45.55/46.00 (assume @p474 (forall @t319 (= (|tptp.'fun_app$h'| |tptp.'dbl_inc$'| @t629) (- @t630)))) % 45.55/46.00 (assume @p475 (forall @t352 (= (= @t627 @t631) @t470))) % 45.55/46.00 (assume @p476 (forall @t352 (= (= @t633 @t632) @t470))) % 45.55/46.00 (assume @p477 (forall @t352 (= @t635 @t351))) % 45.55/46.00 (assume @p478 (forall @t352 (= @t636 @t351))) % 45.55/46.00 (assume @p479 (forall @t352 (= (= @t629 @t637) @t470))) % 45.55/46.00 (assume @p480 (forall @t352 (= (<= @t629 @t637) @t350))) % 45.55/46.00 (assume @p481 (forall @t319 (not (= @t627 @t623)))) % 45.55/46.00 (assume @p482 (forall @t319 (not (= 1 @t629)))) % 45.55/46.00 (assume @p483 (forall @t319 (not (|tptp.'fun_app$w'| @t634 |tptp.'zero$e'|)))) % 45.55/46.00 (assume @p484 (forall @t319 (not (<= @t627 0)))) % 45.55/46.00 (assume @p485 (forall @t319 (|tptp.'fun_app$w'| @t529 @t633))) % 45.55/46.00 (assume @p486 (forall @t319 (<= 0 @t627))) % 45.55/46.00 (assume @p487 (forall @t319 (not (= |tptp.'zero$'| @t638)))) % 45.55/46.00 (assume @p488 (forall @t319 (not (= 0 @t627)))) % 45.55/46.00 (assume @p489 (forall @t319 (not (= |tptp.'zero$e'| @t633)))) % 45.55/46.00 (assume @p490 (forall @t352 (not (= @t629 @t631)))) % 45.55/46.00 (assume @p491 (forall @t352 (not (= @t627 @t637)))) % 45.55/46.00 (assume @p492 (forall @t352 (<= @t629 @t631))) % 45.55/46.00 (assume @p493 (forall @t352 (not (<= @t627 @t637)))) % 45.55/46.00 (assume @p494 (forall @t319 (not (= |tptp.'zero$'| (|tptp.'uminus$c'| @t638))))) % 45.55/46.00 (assume @p495 (forall @t319 (not (= 0 @t629)))) % 45.55/46.00 (assume @p496 (forall @t319 (|tptp.'fun_app$w'| @t626 @t633))) % 45.55/46.00 (assume @p497 (forall @t319 (<= 1 @t627))) % 45.55/46.00 (assume @p498 (forall @t319 (not (<= 0 @t629)))) % 45.55/46.00 (assume @p499 (forall @t319 (<= @t629 0))) % 45.55/46.00 (assume @p500 (forall @t319 (not (<= 1 @t629)))) % 45.55/46.00 (assume @p501 (forall @t319 (not (<= @t627 @t623)))) % 45.55/46.00 (assume @p502 (forall @t319 (<= @t629 @t623))) % 45.55/46.00 (assume @p503 (forall @t319 (<= @t623 @t627))) % 45.55/46.00 (assume @p504 (forall @t319 (<= @t629 1))) % 45.55/46.00 (assume @p505 (forall @t319 (= (- @t623 @t627) (- @t640)))) % 45.55/46.00 (assume @p506 (forall @t319 (= (- @t627 @t623) @t640))) % 45.55/46.00 (assume @p507 (forall @t319 (= (|tptp.'fun_app$h'| |tptp.'dbl$'| @t629) (- @t641)))) % 45.55/46.00 (assume @p508 (forall @t319 (= (|tptp.'fun_app$w'| @t634 |tptp.'one$b'|) @t642))) % 45.55/46.00 (assume @p509 (forall @t319 (= (<= @t627 1) @t642))) % 45.55/46.00 (assume @p510 (= (|tptp.'dbl$a'| |tptp.'zero$'|) |tptp.'zero$'|)) % 45.55/46.00 (assume @p511 (= (|tptp.'fun_app$h'| |tptp.'dbl$'| 0) 0)) % 45.55/46.00 (assume @p512 (forall @t319 (= (= 1 @t627) @t643))) % 45.55/46.00 (assume @p513 (forall @t319 (= (= |tptp.'one$b'| @t633) @t643))) % 45.55/46.00 (assume @p514 (forall @t319 (= (= @t627 1) @t644))) % 45.55/46.00 (assume @p515 (forall @t319 (= (= @t633 |tptp.'one$b'|) @t644))) % 45.55/46.00 (assume @p516 (forall @t319 (= (= @t629 @t623) @t644))) % 45.55/46.00 (assume @p517 (forall @t319 (= (= @t623 @t629) @t644))) % 45.55/46.00 (assume @p518 (forall @t319 (= (not (<= @t623 @t629)) (not @t644)))) % 45.55/46.00 (assume @p519 (forall (@list @t645 @t347) (=> (and (|tptp.'fun_app$u'| @t645 |tptp.'one$c'|) (forall (@list @t422) (=> (|tptp.'fun_app$u'| @t645 @t422) (|tptp.'fun_app$u'| @t645 (|tptp.'fun_app$z'| |tptp.'inc$'| @t422))))) (|tptp.'fun_app$u'| @t645 @t347)))) % 45.55/46.00 (assume @p520 (= 1 1)) % 45.55/46.00 (assume @p521 (= (|tptp.'fun_app$aa'| |tptp.'numeral$a'| |tptp.'one$c'|) |tptp.'one$b'|)) % 45.55/46.00 (assume @p522 (forall @t319 (= @t642 @t644))) % 45.55/46.00 (assume @p523 (= @t623 @t623)) % 45.55/46.00 (assume @p524 (forall @t319 (= (|tptp.'fun_app$u'| (|tptp.'fun_app$v'| |tptp.'less_eq$c'| |tptp.'one$c'|) @t317) true))) % 45.55/46.00 (assume @p525 (forall @t319 (= (- @t629 @t623) @t647))) % 45.55/46.00 (assume @p526 (= (|tptp.'sub$a'| |tptp.'one$c'| |tptp.'one$c'|) |tptp.'zero$'|)) % 45.55/46.00 (assume @p527 (= (|tptp.'fun_app$ab'| @t646 |tptp.'one$c'|) 0)) % 45.55/46.00 (assume @p528 (forall @t352 (= @t650 @t649))) % 45.55/46.00 (assume @p529 (forall @t352 (= (- @t629 @t637) (|tptp.'fun_app$ab'| (|tptp.'sub$'| @t347) @t317)))) % 45.55/46.00 (assume @p530 (forall @t319 (= (- 1 @t627) @t647))) % 45.55/46.00 (assume @p531 (forall @t319 (= (- @t627 1) @t651))) % 45.55/46.00 (assume @p532 (forall @t319 (= (- (- @t651) 1) @t629))) % 45.55/46.00 (assume @p533 (forall @t319 (= (- @t623 @t629) @t651))) % 45.55/46.00 (assume @p534 (forall @t352 (= @t649 @t650))) % 45.55/46.00 (assume @p535 (forall @t352 (= (<= 0 @t649) @t350))) % 45.55/46.00 (assume @p536 (forall @t352 (= (<= @t649 0) @t351))) % 45.55/46.00 (assume @p537 (forall @t319 (= (|tptp.'fun_app$ab'| (|tptp.'sub$'| @t639) |tptp.'one$c'|) @t627))) % 45.55/46.00 (assume @p538 (forall @t352 (= @t635 @t636))) % 45.55/46.00 (assume @p539 (= (|tptp.'fun_app$h'| |tptp.'dbl$'| @t623) @t652)) % 45.55/46.00 (assume @p540 (forall @t352 (= (|tptp.'fun_app$u'| @t655 @t653) @t351))) % 45.55/46.00 (assume @p541 (forall @t319 (= (|tptp.'fun_app$u'| @t655 |tptp.'one$c'|) false))) % 45.55/46.00 (assume @p542 (forall @t319 (= @t641 @t656))) % 45.55/46.00 (assume @p543 (= (|tptp.'fun_app$h'| |tptp.'dbl$'| 1) 2)) % 45.55/46.00 (assume @p544 (= (- 1 @t623) 2)) % 45.55/46.00 (assume @p545 (= (- @t623 1) @t652)) % 45.55/46.00 (assume @p546 (= (|tptp.'fun_app$z'| |tptp.'inc$'| |tptp.'one$c'|) (|tptp.'fun_app$z'| |tptp.'bit0$'| |tptp.'one$c'|))) % 45.55/46.00 (assume @p547 (forall @t94 @t657)) % 45.55/46.00 (assume @p548 (forall @t94 (and (=> @t658 @t609) (=> (not @t658) (= (- @t34 @t34) 0))))) % 45.55/46.00 (assume @p549 (forall @t94 (and (=> @t659 @t609) (=> (not @t659) (= (- 0 @t34) 0))))) % 45.55/46.00 (assume @p550 (forall @t40 (=> @t662 (and (=> @t660 @t661) (=> (not @t660) (and (=> @t38 (= (- @t35 0) @t34)) (=> @t39 (= (- @t35 @t36) @t34)))))))) % 45.55/46.00 (assume @p551 (forall @t301 (= (|tptp.'fun_app$ad'| (|tptp.'minus$h'| |tptp.'zero$e'|) @t299) |tptp.'zero$e'|))) % 45.55/46.00 (assume @p552 (forall @t301 (= (|tptp.'fun_app$ad'| @t663 |tptp.'zero$e'|) @t299))) % 45.55/46.00 (assume @p553 (forall @t40 (=> @t662 @t669))) % 45.55/46.00 (assume @p554 (forall @t40 (= @t669 @t662))) % 45.55/46.00 (assume @p555 (forall @t40 (=> (and @t668 @t667 (=> @t38 @t609) (=> @t39 @t671)) @t670))) % 45.55/46.00 (assume @p556 (forall @t94 (and (=> @t672 @t661) (=> (not @t672) (= (- @t34 0) @t34))))) % 45.55/46.00 (assume @p557 (forall (@list @t674 @t5 @t42) (=> (and (|tptp.'fun_app$b'| @t674 @t5) (forall @t198 (=> @t675 (<= @t673 @t676)))) (exists @t198 (and @t675 (forall @t228 (=> (|tptp.'fun_app$b'| @t674 @t226) (<= (|tptp.'of_nat$'| @t226) @t673)))))))) % 45.55/46.00 (assume @p558 (forall @t40 (or @t662 @t677))) % 45.55/46.00 (assume @p559 (forall @t684 (=> @t662 (and (=> @t682 @t683) (=> (not @t682) (and (=> @t680 (<= @t679 0)) (=> @t681 (<= @t679 @t678)))))))) % 45.55/46.00 (assume @p560 (forall @t684 (=> (and @t662 (<= @t676 @t35)) (= (and (=> @t38 @t689) (=> @t39 (and (=> @t686 @t688) (=> @t687 (<= @t36 @t685))))) (<= @t676 @t34))))) % 45.55/46.00 (assume @p561 (forall @t40 (and (=> @t665 @t657) (=> @t666 (<= @t664 @t34))))) % 45.55/46.00 (assume @p562 (forall @t684 (=> @t662 (and (=> @t691 @t689) (=> @t692 (and (=> @t686 (<= @t690 0)) (=> @t687 (<= @t690 @t685)))))))) % 45.55/46.00 (assume @p563 (forall @t684 (=> @t699 (and (=> @t697 (and (=> @t686 @t609) (=> @t687 (= 0 @t685)))) (=> (not @t697) (and (=> @t38 (and (=> @t680 (and (=> @t686 (= @t696 0)) (=> @t687 (= @t696 @t685)))) (=> @t681 (and (=> @t686 (= @t695 0)) (=> @t687 (= @t695 @t685)))))) (=> @t39 (and (=> @t680 (and (=> @t686 (= @t694 0)) (=> @t687 (= @t694 @t685)))) (=> @t681 (and (=> @t686 (= @t693 0)) (=> @t687 (= @t693 @t685)))))))))))) % 45.55/46.00 (assume @p564 (forall @t684 (=> @t699 (= (and (=> @t38 @t683) (=> @t39 (and (=> @t680 @t688) (=> @t681 (<= @t36 @t678))))) @t700)))) % 45.55/46.00 (assume @p565 (forall @t684 (=> @t699 (= (and (=> @t38 (and (=> @t680 @t609) (=> @t681 (= 0 @t678)))) (=> @t39 (and (=> @t680 @t671) (=> @t681 (= @t36 @t678))))) (= @t35 @t676))))) % 45.55/46.00 (assume @p566 (forall @t40 (=> (and @t662 @t677) @t670))) % 45.55/46.00 (assume @p567 (forall @t40 (=> @t670 @t662))) % 45.55/46.00 (assume @p568 (forall @t684 (=> (and @t662 @t700) @t698))) % 45.55/46.00 (assume @p569 (forall @t94 (<= @t34 @t34))) % 45.55/46.00 (assume @p570 (forall @t94 (= @t702 @t701))) % 45.55/46.00 (assume @p571 (forall @t94 (=> @t702 @t701))) % 45.55/46.00 (assume @p572 (forall @t94 (= @t657 true))) % 45.55/46.00 (assume @p573 (forall @t32 (=> (forall @t199 (=> @t45 @t700)) (|tptp.'fun_app$a'| (|tptp.'inj_on$'| (|tptp.'uuw$'| @t5)) @t28)))) % 45.55/46.00 (assume @p574 (forall @t319 (= (|tptp.'fun_app$ab'| @t646 @t654) (- @t704)))) % 45.55/46.00 (assume @p575 (= (|tptp.'fun_app$h'| |tptp.'dbl_dec$a'| @t623) (- 3))) % 45.55/46.00 (assume @p576 (forall @t352 (= (|tptp.'fun_app$u'| @t707 @t705) @t351))) % 45.55/46.00 (assume @p577 (forall @t352 (= (|tptp.'fun_app$u'| @t655 @t705) @t351))) % 45.55/46.00 (assume @p578 (forall @t319 (= (|tptp.'fun_app$u'| @t707 |tptp.'one$c'|) false))) % 45.55/46.00 (assume @p579 (forall @t319 (= @t628 (|tptp.'fun_app$ab'| |tptp.'numeral$'| @t706)))) % 45.55/46.00 (assume @p580 (forall @t319 (= @t630 @t704))) % 45.55/46.00 (assume @p581 (forall @t319 (= (|tptp.'fun_app$ab'| (|tptp.'sub$'| @t706) |tptp.'one$c'|) @t656))) % 45.55/46.00 (assume @p582 (forall @t319 (= (|tptp.'fun_app$ab'| (|tptp.'sub$'| @t654) |tptp.'one$c'|) @t704))) % 45.55/46.00 (assume @p583 (= (|tptp.'fun_app$h'| |tptp.'dbl_inc$'| 1) 3)) % 45.55/46.00 (assume @p584 (forall @t319 (= (|tptp.'fun_app$ab'| @t646 @t706) (- @t656)))) % 45.55/46.00 (assume @p585 (forall @t684 (and (=> @t716 (and (=> @t711 @t609) (=> @t712 (and (=> @t691 (= 0 @t710)) (=> @t692 (= 0 @t708)))))) (=> @t717 (and (=> @t665 (and (=> @t711 @t715) (=> @t712 (and (=> @t691 (= @t714 @t710)) (=> @t692 (= @t714 @t708)))))) (=> @t666 (and (=> @t711 @t713) (=> @t712 (and (=> @t691 (= @t709 @t710)) (=> @t692 (= @t709 @t708))))))))))) % 45.55/46.00 (assume @p586 (forall @t319 (= (|tptp.'fun_app$z'| |tptp.'inc$'| @t703) @t654))) % 45.55/46.00 (assume @p587 (forall @t319 (= (|tptp.'fun_app$z'| |tptp.'bitM$'| @t639) @t706))) % 45.55/46.00 (assume @p588 (forall @t319 (=> (and (=> @t644 false) (forall @t718 (=> (= @t317 @t653) false)) (forall @t718 (=> (= @t317 @t705) false))) false))) % 45.55/46.00 (assume @p589 (forall @t319 (= (|tptp.'fun_app$z'| |tptp.'inc$'| @t706) (|tptp.'fun_app$z'| |tptp.'bit0$'| @t639)))) % 45.55/46.00 (assume @p590 (forall @t319 (= (|tptp.'fun_app$z'| |tptp.'inc$'| @t654) @t706))) % 45.55/46.00 (assume @p591 (forall @t319 (= @t704 (- @t656 1)))) % 45.55/46.00 (assume @p592 (forall @t358 (|tptp.'fun_app$w'| (|tptp.'fun_app$x'| |tptp.'less_eq$d'| (|tptp.'fun_app$ad'| @t663 @t353)) @t299))) % 45.55/46.00 (assume @p593 (forall @t319 (= (+ 1 @t629) @t647))) % 45.55/46.00 (assume @p594 (forall @t341 (= (= @t719 (+ @t339 @t18)) (= @t19 @t339)))) % 45.55/46.00 (assume @p595 (forall @t341 (= (= @t719 (+ @t19 @t339)) @t501))) % 45.55/46.00 (assume @p596 (forall @t684 (= (<= (+ @t34 @t35) (+ @t34 @t676)) @t700))) % 45.55/46.00 (assume @p597 (forall @t684 (and (=> @t716 (and (=> @t722 @t609) (=> @t723 (= 0 @t721)))) (=> @t717 (and (=> @t665 (and (=> @t722 @t715) (=> @t723 (= @t714 @t721)))) (=> @t666 (and (=> @t722 @t713) (=> @t723 (= @t709 @t721))))))))) % 45.55/46.00 (assume @p598 (forall @t175 (= (|tptp.'plus$'| @t12 |tptp.'zero$'|) @t12))) % 45.55/46.00 (assume @p599 (forall @t301 (= (|tptp.'fun_app$ad'| (|tptp.'plus$a'| @t299) |tptp.'zero$e'|) @t299))) % 45.55/46.00 (assume @p600 (forall @t304 (= (+ @t19 0) @t19))) % 45.55/46.00 (assume @p601 (forall @t304 (= (= 0 (+ @t19 @t19)) @t302))) % 45.55/46.00 (assume @p602 (forall @t232 (= (= @t724 @t10) @t230))) % 45.55/46.00 (assume @p603 (forall @t22 (= (= @t719 @t18) @t302))) % 45.55/46.00 (assume @p604 (forall @t232 (= (= @t724 @t12) @t229))) % 45.55/46.00 (assume @p605 (forall @t22 (= (= @t719 @t19) @t725))) % 45.55/46.00 (assume @p606 (forall @t232 (= (= @t12 (|tptp.'plus$'| @t10 @t12)) @t229))) % 45.55/46.00 (assume @p607 (forall @t22 (= (= @t19 (+ @t18 @t19)) @t725))) % 45.55/46.00 (assume @p608 (forall @t684 (=> @t662 (and (=> @t38 (and (=> @t729 (= @t731 0)) (=> @t730 (= @t731 @t727)))) (=> @t39 (and (=> @t729 (= @t728 0)) (=> @t730 (= @t728 @t727)))))))) % 45.55/46.00 (assume @p609 (forall @t684 (=> @t662 (and (=> @t38 (and (=> @t734 (= @t736 0)) (=> @t735 (= @t736 @t732)))) (=> @t39 (and (=> @t734 (= @t733 0)) (=> @t735 (= @t733 @t732)))))))) % 45.55/46.00 (assume @p610 (forall @t94 (= (|tptp.'nat$'| @t34) @t33))) % 45.55/46.00 (assume @p611 (forall @t304 (and (=> @t619 (= @t737 @t19)) (=> (not @t619) (= @t737 0))))) % 45.55/46.00 (assume @p612 true) % 45.55/46.00 (step @p613 :rule symm :premises (@p25)) % 45.55/46.00 (step @p614 :rule exists-elim :args ((= (exists @t100 @t738) @t739))) % 45.55/46.00 (step @p615 :rule eq-symm :args (@t99 @t23)) % 45.55/46.00 (step @p616 :rule cong :premises (@p615) :args (@t101)) % 45.55/46.00 (step @p617 :rule trans :premises (@p616 @p614)) % 45.55/46.00 (step @p618 :rule cong :premises (@p617) :args (@t102)) % 45.55/46.00 (step @p619 :rule eq_resolve :premises (@p26 @p618)) % 45.55/46.00 (step @p620 :rule alpha_equiv :args (@t740 (@list @t15 @t23) (@list @t51 @t13))) % 45.55/46.00 (step @p621 :rule equiv_elim1 :premises (@p620)) % 45.55/46.00 (step @p622 :rule chain_m_resolution :premises (@p621 @p619) :args (@t741 (@list false) (@list @t740))) % 45.55/46.00 (step @p623 :rule exists-elim :args ((= @t148 (not (forall @t119 (not @t147)))))) % 45.55/46.00 (step @p624 :rule cong :premises (@p623) :args (@t280)) % 45.55/46.00 (step @p625 :rule eq-symm :args (@t149 |tptp.'top$b'|)) % 45.55/46.00 (step @p626 :rule cong :premises (@p625 @p624) :args (@t281)) % 45.55/46.00 (step @p627 :rule cong :premises (@p626) :args (@t282)) % 45.55/46.00 (step @p628 :rule eq_resolve :premises (@p135 @p627)) % 45.55/46.00 (step @p629 :rule instantiate :premises (@p628) :args ((@list @t97))) % 45.55/46.00 (step @p630 :rule cnf_equiv_pos2 :args (@t743)) % 45.55/46.00 (step @p631 :rule reordering :premises (@p630) :args ((or @t742 (not @t741) (not @t743)))) % 45.55/46.00 (step @p632 false :rule chain_m_resolution :premises (@p631 @p629 @p622 @p613) :args (false (@list false false true) (@list @t743 @t741 @t742))) % 45.55/46.00 ) % 45.55/46.00 % SZS output end Proof % 45.55/46.00 % cvc5 exiting %------------------------------------------------------------------------------