%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP345_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 : n001.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 08:26:23 AM UTC 2026 % Result : Theorem 1.25s 1.46s % Output : Proof 1.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP345_1 : TPTP v9.2.1. Released v8.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n001.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 05:02:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.41/0.65 %----Proving TF0_ARI % 1.25/1.46 --- Run --finite-model-find --decision=internal at 45... % 1.25/1.46 % SZS status Theorem % 1.25/1.46 % SZS output start Proof % 1.25/1.46 ( % 1.25/1.46 (declare-sort |tptp.'A_n_vec_real_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'Real_real_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'Int_real_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'Real_int_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'A_n_vec_int_fun$'| 0) % 1.25/1.46 (declare-sort tptp.tlbool 0) % 1.25/1.46 (declare-sort |tptp.'Int_int_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'A_n_vec_set_set$'| 0) % 1.25/1.46 (declare-sort |tptp.'Nat_set_set$'| 0) % 1.25/1.46 (declare-sort |tptp.'A_n_vec_a_n_vec_bool_fun_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'Real_real_bool_fun_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'A_rows_vec_a_rows_vec_bool_fun_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'Real_real_real_fun_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'Real_set_nat_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'Rows$'| 0) % 1.25/1.46 (declare-sort |tptp.'Nat_real_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'A_n_vec_a_n_vec_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'A_rows_vec_a_rows_vec_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'A$'| 0) % 1.25/1.46 (declare-sort |tptp.'Real_set$'| 0) % 1.25/1.46 (declare-sort |tptp.'Int_set$'| 0) % 1.25/1.46 (declare-sort |tptp.'A_n_vec$'| 0) % 1.25/1.46 (declare-sort |tptp.'Int_bool_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'A_n_vec_set_bool_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'A_rows_vec_bool_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'A_rows_vec$'| 0) % 1.25/1.46 (declare-sort |tptp.'A_rows_vec_set$'| 0) % 1.25/1.46 (declare-sort |tptp.'Nat_set$'| 0) % 1.25/1.46 (declare-sort |tptp.'A_n_vec_set$'| 0) % 1.25/1.46 (declare-sort |tptp.'Real_bool_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'Int_int_bool_fun_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'A_a_rows_vec_a_rows_vec_fun_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'A_n_vec_bool_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'Nat_nat_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'Nat_int_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'Nat_nat_bool_fun_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'Real_set_bool_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'A_rows_vec_set_nat_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'A_n_vec_set_nat_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'Nat_set_bool_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'Nat$'| 0) % 1.25/1.46 (declare-sort |tptp.'Nat_bool_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'Int_set_bool_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'A_n_vec_rows_vec$'| 0) % 1.25/1.46 (declare-sort |tptp.'A_a_n_vec_a_n_vec_fun_fun$'| 0) % 1.25/1.46 (declare-sort |tptp.'A_rows_vec_rows_vec$'| 0) % 1.25/1.46 (declare-const tptp.tlfalse tptp.tlbool) % 1.25/1.46 (declare-const |tptp.'times$f'| (-> |tptp.'Nat_set$'| |tptp.'Nat_set$'| |tptp.'Nat_set$'|)) % 1.25/1.46 (declare-const |tptp.'times$e'| (-> |tptp.'A_n_vec_set$'| |tptp.'A_n_vec_set$'| |tptp.'A_n_vec_set$'|)) % 1.25/1.46 (declare-const |tptp.'card$b'| (-> |tptp.'Real_set$'| |tptp.'Nat$'|)) % 1.25/1.46 (declare-const |tptp.'card$a'| (-> |tptp.'Nat_set$'| |tptp.'Nat$'|)) % 1.25/1.46 (declare-const |tptp.'less$b'| (-> |tptp.'Real_set$'| |tptp.'Real_set_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'finite$b'| |tptp.'Int_set_bool_fun$'|) % 1.25/1.46 (declare-const |tptp.'less$a'| (-> |tptp.'Int_set$'| |tptp.'Int_set_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'collect$d'| (-> |tptp.'Nat_bool_fun$'| |tptp.'Nat_set$'|)) % 1.25/1.46 (declare-const |tptp.'collect$a'| (-> |tptp.'A_rows_vec_bool_fun$'| |tptp.'A_rows_vec_set$'|)) % 1.25/1.46 (declare-const |tptp.'collect$b'| (-> |tptp.'Int_bool_fun$'| |tptp.'Int_set$'|)) % 1.25/1.46 (declare-const |tptp.'null_space$a'| (-> |tptp.'A_n_vec_rows_vec$'| |tptp.'A_n_vec_set$'|)) % 1.25/1.46 (declare-const |tptp.'zero$c'| |tptp.'Nat$'|) % 1.25/1.46 (declare-const |tptp.'fun_app$q'| (-> |tptp.'Nat_nat_bool_fun_fun$'| |tptp.'Nat$'| |tptp.'Nat_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'nat$'| (-> Int |tptp.'Nat$'|)) % 1.25/1.46 (declare-const |tptp.'card$'| (-> |tptp.'A_n_vec_set$'| |tptp.'Nat$'|)) % 1.25/1.46 (declare-const |tptp.'fun_app$l'| (-> |tptp.'A_rows_vec_set_nat_fun$'| |tptp.'A_rows_vec_set$'| |tptp.'Nat$'|)) % 1.25/1.46 (declare-const |tptp.'vector_scalar_mult$a'| |tptp.'A_a_rows_vec_a_rows_vec_fun_fun$'|) % 1.25/1.46 (declare-const |tptp.'zero$a'| |tptp.'A_n_vec$'|) % 1.25/1.46 (declare-const |tptp.'is_solution$'| (-> |tptp.'A_rows_vec$'| |tptp.'A_rows_vec_rows_vec$'| |tptp.'A_rows_vec_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'solution_set$a'| (-> |tptp.'A_rows_vec_rows_vec$'| |tptp.'A_rows_vec$'| |tptp.'A_rows_vec_set$'|)) % 1.25/1.46 (declare-const |tptp.'finite$'| |tptp.'A_n_vec_set_bool_fun$'|) % 1.25/1.46 (declare-const |tptp.'finite$c'| |tptp.'Real_set_bool_fun$'|) % 1.25/1.46 (declare-const |tptp.'uuc$'| (-> |tptp.'Real_set$'| |tptp.'Real_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'fun_app$f'| (-> |tptp.'Real_set_bool_fun$'| |tptp.'Real_set$'| Bool)) % 1.25/1.46 (declare-const |tptp.'uud$'| (-> |tptp.'Nat_set$'| |tptp.'Nat_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'bot$d'| |tptp.'Nat_set$'|) % 1.25/1.46 (declare-const |tptp.'fun_app$c'| (-> |tptp.'A_n_vec_bool_fun$'| |tptp.'A_n_vec$'| Bool)) % 1.25/1.46 (declare-const |tptp.'fun_app$d'| (-> |tptp.'A_n_vec_set_bool_fun$'| |tptp.'A_n_vec_set$'| Bool)) % 1.25/1.46 (declare-const |tptp.'null_space$'| (-> |tptp.'A_rows_vec_rows_vec$'| |tptp.'A_rows_vec_set$'|)) % 1.25/1.46 (declare-const |tptp.'fun_app$n'| (-> |tptp.'A_a_rows_vec_a_rows_vec_fun_fun$'| |tptp.'A$'| |tptp.'A_rows_vec_a_rows_vec_fun$'|)) % 1.25/1.46 (declare-const |tptp.'insert$c'| (-> Int |tptp.'Int_set$'| |tptp.'Int_set$'|)) % 1.25/1.46 (declare-const |tptp.'member$a'| (-> |tptp.'A_n_vec$'| |tptp.'A_n_vec_set_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'a$'| |tptp.'A_n_vec_rows_vec$'|) % 1.25/1.46 (declare-const |tptp.'fun_app$t'| (-> |tptp.'A_rows_vec_a_rows_vec_bool_fun_fun$'| |tptp.'A_rows_vec$'| |tptp.'A_rows_vec_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'collect$c'| (-> |tptp.'Real_bool_fun$'| |tptp.'Real_set$'|)) % 1.25/1.46 (declare-const |tptp.'one$c'| |tptp.'Nat$'|) % 1.25/1.46 (declare-const |tptp.'is_solution$a'| (-> |tptp.'A_n_vec$'| |tptp.'A_n_vec_rows_vec$'| |tptp.'A_rows_vec_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'consistent$a'| (-> |tptp.'A_n_vec_rows_vec$'| |tptp.'A_rows_vec_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'member$'| (-> |tptp.'A_rows_vec$'| |tptp.'A_rows_vec_set$'| Bool)) % 1.25/1.46 (declare-const |tptp.'vector_scalar_mult$'| |tptp.'A_a_n_vec_a_n_vec_fun_fun$'|) % 1.25/1.46 (declare-const |tptp.'fun_app$p'| (-> |tptp.'A_a_n_vec_a_n_vec_fun_fun$'| |tptp.'A$'| |tptp.'A_n_vec_a_n_vec_fun$'|)) % 1.25/1.46 (declare-const |tptp.'fun_app$'| (-> |tptp.'Int_bool_fun$'| Int Bool)) % 1.25/1.46 (declare-const |tptp.'less$c'| (-> |tptp.'A_n_vec_set$'| |tptp.'A_n_vec_set_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'member$b'| (-> Real |tptp.'Real_set_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'solution_set$'| (-> |tptp.'A_n_vec_rows_vec$'| |tptp.'A_rows_vec$'| |tptp.'A_n_vec_set$'|)) % 1.25/1.46 (declare-const |tptp.'zero$b'| |tptp.'A$'|) % 1.25/1.46 (declare-const |tptp.'uua$'| (-> |tptp.'A_rows_vec_set$'| |tptp.'A_rows_vec_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'fun_app$a'| (-> |tptp.'Int_int_bool_fun_fun$'| Int |tptp.'Int_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'finite$e'| (-> |tptp.'Nat_set_set$'| Bool)) % 1.25/1.46 (declare-const |tptp.'fun_app$g'| (-> |tptp.'Nat_bool_fun$'| |tptp.'Nat$'| Bool)) % 1.25/1.46 (declare-const |tptp.'consistent$'| (-> |tptp.'A_rows_vec_rows_vec$'| |tptp.'A_rows_vec_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'uu$'| (-> |tptp.'A_n_vec_set$'| |tptp.'A_n_vec_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'of_nat$'| |tptp.'Nat_int_fun$'|) % 1.25/1.46 (declare-const |tptp.'fun_app$b'| (-> |tptp.'A_rows_vec_bool_fun$'| |tptp.'A_rows_vec$'| Bool)) % 1.25/1.46 (declare-const |tptp.'uue$'| |tptp.'Int_int_bool_fun_fun$'|) % 1.25/1.46 (declare-const |tptp.'member$d'| (-> Int |tptp.'Int_set_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'fun_app$m'| (-> |tptp.'A_rows_vec_a_rows_vec_fun$'| |tptp.'A_rows_vec$'| |tptp.'A_rows_vec$'|)) % 1.25/1.46 (declare-const |tptp.'inconsistent$'| (-> |tptp.'A_n_vec_rows_vec$'| |tptp.'A_rows_vec_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'fun_app$e'| (-> |tptp.'Real_bool_fun$'| Real Bool)) % 1.25/1.46 (declare-const |tptp.'dim$a'| (-> |tptp.'A_a_rows_vec_a_rows_vec_fun_fun$'| |tptp.'A_rows_vec_set_nat_fun$'|)) % 1.25/1.46 (declare-const |tptp.'member$c'| (-> |tptp.'Nat$'| |tptp.'Nat_set_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'finite$a'| (-> |tptp.'A_rows_vec_set$'| Bool)) % 1.25/1.46 (declare-const |tptp.'less_eq$b'| (-> |tptp.'Nat_set$'| |tptp.'Nat_set_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'fun_app$k'| (-> |tptp.'A_n_vec_set_nat_fun$'| |tptp.'A_n_vec_set$'| |tptp.'Nat$'|)) % 1.25/1.46 (declare-const |tptp.'of_nat$a'| |tptp.'Nat_nat_fun$'|) % 1.25/1.46 (declare-const |tptp.'fun_app$h'| (-> |tptp.'Nat_set_bool_fun$'| |tptp.'Nat_set$'| Bool)) % 1.25/1.46 (declare-const |tptp.'less_eq$c'| |tptp.'Nat_nat_bool_fun_fun$'|) % 1.25/1.46 (declare-const |tptp.'fun_app$o'| (-> |tptp.'A_n_vec_a_n_vec_fun$'| |tptp.'A_n_vec$'| |tptp.'A_n_vec$'|)) % 1.25/1.46 (declare-const |tptp.'fun_app$i'| (-> |tptp.'Int_set_bool_fun$'| |tptp.'Int_set$'| Bool)) % 1.25/1.46 (declare-const |tptp.'less$'| |tptp.'Nat_nat_bool_fun_fun$'|) % 1.25/1.46 (declare-const |tptp.'uub$'| (-> |tptp.'Int_set$'| |tptp.'Int_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'zero$'| |tptp.'A_rows_vec$'|) % 1.25/1.46 (declare-const |tptp.'collect$'| (-> |tptp.'A_n_vec_bool_fun$'| |tptp.'A_n_vec_set$'|)) % 1.25/1.46 (declare-const |tptp.'insert$b'| (-> |tptp.'Nat$'| |tptp.'Nat_set$'| |tptp.'Nat_set$'|)) % 1.25/1.46 (declare-const |tptp.'dim$'| (-> |tptp.'A_a_n_vec_a_n_vec_fun_fun$'| |tptp.'A_n_vec_set_nat_fun$'|)) % 1.25/1.46 (declare-const |tptp.'fun_app$j'| (-> |tptp.'Nat_int_fun$'| |tptp.'Nat$'| Int)) % 1.25/1.46 (declare-const |tptp.'less$d'| (-> |tptp.'Nat_set$'| |tptp.'Nat_set_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'finite$d'| |tptp.'Nat_set_bool_fun$'|) % 1.25/1.46 (declare-const |tptp.'zero$d'| |tptp.'A_rows_vec_set$'|) % 1.25/1.46 (declare-const |tptp.'zero$e'| |tptp.'Real_set$'|) % 1.25/1.46 (declare-const |tptp.'bot$f'| |tptp.'A_n_vec_set_set$'|) % 1.25/1.46 (declare-const |tptp.'zero$f'| |tptp.'Int_set$'|) % 1.25/1.46 (declare-const |tptp.'fun_app$r'| (-> |tptp.'Nat_nat_fun$'| |tptp.'Nat$'| |tptp.'Nat$'|)) % 1.25/1.46 (declare-const |tptp.'fun_app$ac'| (-> |tptp.'Real_set_nat_fun$'| |tptp.'Real_set$'| |tptp.'Nat$'|)) % 1.25/1.46 (declare-const |tptp.'of_nat$b'| |tptp.'Nat_real_fun$'|) % 1.25/1.46 (declare-const |tptp.'fun_app$s'| (-> |tptp.'Nat_real_fun$'| |tptp.'Nat$'| Real)) % 1.25/1.46 (declare-const |tptp.'bot$h'| |tptp.'Nat_bool_fun$'|) % 1.25/1.46 (declare-const |tptp.'bot$'| |tptp.'A_rows_vec_set$'|) % 1.25/1.46 (declare-const |tptp.'member$e'| (-> |tptp.'Nat_set$'| |tptp.'Nat_set_set$'| Bool)) % 1.25/1.46 (declare-const |tptp.'bot$a'| |tptp.'A_n_vec_set$'|) % 1.25/1.46 (declare-const |tptp.'axis$'| (-> |tptp.'Rows$'| |tptp.'A$'| |tptp.'A_rows_vec$'|)) % 1.25/1.46 (declare-const |tptp.'dim$b'| (-> |tptp.'Real_real_real_fun_fun$'| |tptp.'Real_set_nat_fun$'|)) % 1.25/1.46 (declare-const |tptp.'vec$'| (-> |tptp.'A$'| |tptp.'A_rows_vec$'|)) % 1.25/1.46 (declare-const |tptp.'of_nat$c'| (-> |tptp.'Nat$'| |tptp.'A_rows_vec$'|)) % 1.25/1.46 (declare-const |tptp.'of_nat$d'| (-> |tptp.'Nat$'| |tptp.'A$'|)) % 1.25/1.46 (declare-const |tptp.'bot$b'| |tptp.'Real_set$'|) % 1.25/1.46 (declare-const |tptp.'fun_app$u'| (-> |tptp.'Real_real_bool_fun_fun$'| Real |tptp.'Real_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'bot$c'| |tptp.'Int_set$'|) % 1.25/1.46 (declare-const |tptp.'fun_app$v'| (-> |tptp.'A_n_vec_a_n_vec_bool_fun_fun$'| |tptp.'A_n_vec$'| |tptp.'A_n_vec_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'bot$e'| |tptp.'Nat_set_set$'|) % 1.25/1.46 (declare-const |tptp.'member$f'| (-> |tptp.'A_n_vec_set$'| |tptp.'A_n_vec_set_set$'| Bool)) % 1.25/1.46 (declare-const |tptp.'finite$f'| (-> |tptp.'A_n_vec_set_set$'| Bool)) % 1.25/1.46 (declare-const |tptp.'bot$g'| |tptp.'Nat$'|) % 1.25/1.46 (declare-const |tptp.'fun_app$w'| (-> |tptp.'Int_int_fun$'| Int Int)) % 1.25/1.46 (declare-const tptp.tltrue tptp.tlbool) % 1.25/1.46 (declare-const |tptp.'arg_min_on$'| (-> |tptp.'A_n_vec_int_fun$'| |tptp.'A_n_vec_set$'| |tptp.'A_n_vec$'|)) % 1.25/1.46 (declare-const |tptp.'fun_app$x'| (-> |tptp.'A_n_vec_int_fun$'| |tptp.'A_n_vec$'| Int)) % 1.25/1.46 (declare-const |tptp.'arg_min_on$a'| (-> |tptp.'Nat_int_fun$'| |tptp.'Nat_set$'| |tptp.'Nat$'|)) % 1.25/1.46 (declare-const |tptp.'insert$'| (-> |tptp.'A_rows_vec$'| |tptp.'A_rows_vec_set$'| |tptp.'A_rows_vec_set$'|)) % 1.25/1.46 (declare-const |tptp.'insert$a'| (-> |tptp.'A_n_vec$'| |tptp.'A_n_vec_set$'| |tptp.'A_n_vec_set$'|)) % 1.25/1.46 (declare-const |tptp.'enumerate$'| (-> |tptp.'Nat_set$'| |tptp.'Nat_nat_fun$'|)) % 1.25/1.46 (declare-const |tptp.'insert$d'| (-> Real |tptp.'Real_set$'| |tptp.'Real_set$'|)) % 1.25/1.46 (declare-const |tptp.'one$'| |tptp.'A$'|) % 1.25/1.46 (declare-const |tptp.'one$a'| |tptp.'Int_set$'|) % 1.25/1.46 (declare-const |tptp.'one$b'| |tptp.'A_rows_vec$'|) % 1.25/1.46 (declare-const |tptp.'less_eq$'| (-> |tptp.'A_rows_vec_set$'| |tptp.'A_rows_vec_set$'| Bool)) % 1.25/1.46 (declare-const |tptp.'less_eq$a'| (-> |tptp.'A_n_vec_set$'| |tptp.'A_n_vec_set_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'fun_app$y'| (-> |tptp.'Real_int_fun$'| Real Int)) % 1.25/1.46 (declare-const |tptp.'fun_app$z'| (-> |tptp.'Int_real_fun$'| Int Real)) % 1.25/1.46 (declare-const |tptp.'fun_app$aa'| (-> |tptp.'Real_real_fun$'| Real Real)) % 1.25/1.46 (declare-const |tptp.'is_singleton$'| |tptp.'Nat_set_bool_fun$'|) % 1.25/1.46 (declare-const |tptp.'fun_app$ab'| (-> |tptp.'A_n_vec_real_fun$'| |tptp.'A_n_vec$'| Real)) % 1.25/1.46 (declare-const |tptp.'arg_min_on$b'| (-> |tptp.'A_n_vec_real_fun$'| |tptp.'A_n_vec_set$'| |tptp.'A_n_vec$'|)) % 1.25/1.46 (declare-const |tptp.'arg_min_on$c'| (-> |tptp.'Nat_real_fun$'| |tptp.'Nat_set$'| |tptp.'Nat$'|)) % 1.25/1.46 (declare-const |tptp.'times$b'| (-> |tptp.'Nat$'| |tptp.'Nat_nat_fun$'|)) % 1.25/1.46 (declare-const |tptp.'times$'| |tptp.'Real_real_real_fun_fun$'|) % 1.25/1.46 (declare-const |tptp.'less_eq$d'| (-> |tptp.'Real_set$'| |tptp.'Real_set_bool_fun$'|)) % 1.25/1.46 (declare-const |tptp.'times$a'| (-> Int |tptp.'Int_int_fun$'|)) % 1.25/1.46 (declare-const |tptp.'times$c'| (-> |tptp.'A_rows_vec$'| |tptp.'A_rows_vec$'| |tptp.'A_rows_vec$'|)) % 1.25/1.46 (declare-const |tptp.'fun_app$ad'| (-> |tptp.'Real_real_real_fun_fun$'| Real |tptp.'Real_real_fun$'|)) % 1.25/1.46 (declare-const |tptp.'times$d'| (-> |tptp.'A$'| |tptp.'A$'| |tptp.'A$'|)) % 1.25/1.46 (define @t1 () (@var "A__questionmark_v1" Int)) % 1.25/1.46 (define @t2 () (@var "A__questionmark_v0" Int)) % 1.25/1.46 (define @t3 () (< @t2 @t1)) % 1.25/1.46 (define @t4 () (@list @t2 @t1)) % 1.25/1.46 (define @t5 () (@var "A__questionmark_v0" |tptp.'A_rows_vec_set$'|)) % 1.25/1.46 (define @t6 () (@var "A__questionmark_v1" |tptp.'A_rows_vec$'|)) % 1.25/1.46 (define @t7 () (|tptp.'uua$'| @t5)) % 1.25/1.46 (define @t8 () (@var "A__questionmark_v0" |tptp.'A_n_vec_set$'|)) % 1.25/1.46 (define @t9 () (@var "A__questionmark_v1" |tptp.'A_n_vec$'|)) % 1.25/1.46 (define @t10 () (|tptp.'fun_app$d'| (|tptp.'member$a'| @t9) @t8)) % 1.25/1.46 (define @t11 () (|tptp.'uu$'| @t8)) % 1.25/1.46 (define @t12 () (@list @t8 @t9)) % 1.25/1.46 (define @t13 () (@var "A__questionmark_v0" |tptp.'Real_set$'|)) % 1.25/1.46 (define @t14 () (@var "A__questionmark_v1" Real)) % 1.25/1.46 (define @t15 () (|tptp.'fun_app$f'| (|tptp.'member$b'| @t14) @t13)) % 1.25/1.46 (define @t16 () (|tptp.'uuc$'| @t13)) % 1.25/1.46 (define @t17 () (@list @t13 @t14)) % 1.25/1.46 (define @t18 () (@var "A__questionmark_v0" |tptp.'Nat_set$'|)) % 1.25/1.46 (define @t19 () (@var "A__questionmark_v1" |tptp.'Nat$'|)) % 1.25/1.46 (define @t20 () (|tptp.'fun_app$h'| (|tptp.'member$c'| @t19) @t18)) % 1.25/1.46 (define @t21 () (|tptp.'uud$'| @t18)) % 1.25/1.46 (define @t22 () (@list @t18 @t19)) % 1.25/1.46 (define @t23 () (@var "A__questionmark_v0" |tptp.'Int_set$'|)) % 1.25/1.46 (define @t24 () (|tptp.'fun_app$i'| (|tptp.'member$d'| @t1) @t23)) % 1.25/1.46 (define @t25 () (|tptp.'uub$'| @t23)) % 1.25/1.46 (define @t26 () (@list @t23 @t1)) % 1.25/1.46 (define @t27 () (|tptp.'solution_set$'| |tptp.'a$'| |tptp.'zero$'|)) % 1.25/1.46 (define @t28 () (|tptp.'dim$'| |tptp.'vector_scalar_mult$'|)) % 1.25/1.46 (define @t29 () (|tptp.'fun_app$k'| @t28 @t27)) % 1.25/1.46 (define @t30 () (|tptp.'fun_app$j'| |tptp.'of_nat$'| @t29)) % 1.25/1.46 (define @t31 () (|tptp.'fun_app$d'| |tptp.'finite$'| @t27)) % 1.25/1.46 (define @t32 () (not @t31)) % 1.25/1.46 (define @t33 () (= @t32 (< 0 @t30))) % 1.25/1.46 (define @t34 () (not @t33)) % 1.25/1.46 (define @t35 () (@var "A__questionmark_v0" |tptp.'A_rows_vec_rows_vec$'|)) % 1.25/1.46 (define @t36 () (|tptp.'solution_set$a'| @t35 |tptp.'zero$'|)) % 1.25/1.46 (define @t37 () (@list @t35)) % 1.25/1.46 (define @t38 () (@var "A__questionmark_v0" |tptp.'A_n_vec_rows_vec$'|)) % 1.25/1.46 (define @t39 () (|tptp.'solution_set$'| @t38 |tptp.'zero$'|)) % 1.25/1.46 (define @t40 () (@list @t38)) % 1.25/1.46 (define @t41 () (not (|tptp.'finite$a'| @t36))) % 1.25/1.46 (define @t42 () (|tptp.'dim$a'| |tptp.'vector_scalar_mult$a'|)) % 1.25/1.46 (define @t43 () (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'fun_app$l'| @t42 @t36))) % 1.25/1.46 (define @t44 () (< 0 @t43)) % 1.25/1.46 (define @t45 () (|tptp.'fun_app$d'| |tptp.'finite$'| @t39)) % 1.25/1.46 (define @t46 () (not @t45)) % 1.25/1.46 (define @t47 () (|tptp.'fun_app$k'| @t28 @t39)) % 1.25/1.46 (define @t48 () (|tptp.'fun_app$j'| |tptp.'of_nat$'| @t47)) % 1.25/1.46 (define @t49 () (< 0 @t48)) % 1.25/1.46 (define @t50 () (=> @t49 @t46)) % 1.25/1.46 (define @t51 () (forall @t40 @t50)) % 1.25/1.46 (define @t52 () (=> @t46 @t49)) % 1.25/1.46 (define @t53 () (forall @t40 @t52)) % 1.25/1.46 (define @t54 () (= @t6 |tptp.'zero$'|)) % 1.25/1.46 (define @t55 () (@var "A__questionmark_v0" |tptp.'A$'|)) % 1.25/1.46 (define @t56 () (= @t55 |tptp.'zero$b'|)) % 1.25/1.46 (define @t57 () (|tptp.'fun_app$n'| |tptp.'vector_scalar_mult$a'| @t55)) % 1.25/1.46 (define @t58 () (|tptp.'fun_app$m'| @t57 @t6)) % 1.25/1.46 (define @t59 () (= @t9 |tptp.'zero$a'|)) % 1.25/1.46 (define @t60 () (|tptp.'fun_app$p'| |tptp.'vector_scalar_mult$'| @t55)) % 1.25/1.46 (define @t61 () (|tptp.'fun_app$o'| @t60 @t9)) % 1.25/1.46 (define @t62 () (@var "A__questionmark_v0" |tptp.'A_rows_vec$'|)) % 1.25/1.46 (define @t63 () (@list @t62)) % 1.25/1.46 (define @t64 () (@var "A__questionmark_v0" |tptp.'A_n_vec$'|)) % 1.25/1.46 (define @t65 () (@list @t64)) % 1.25/1.46 (define @t66 () (@list @t55)) % 1.25/1.46 (define @t67 () (@var "A__questionmark_v2" |tptp.'A$'|)) % 1.25/1.46 (define @t68 () (= @t55 @t67)) % 1.25/1.46 (define @t69 () (|tptp.'fun_app$n'| |tptp.'vector_scalar_mult$a'| @t67)) % 1.25/1.46 (define @t70 () (|tptp.'fun_app$p'| |tptp.'vector_scalar_mult$'| @t67)) % 1.25/1.46 (define @t71 () (@var "A__questionmark_v0" |tptp.'Nat$'|)) % 1.25/1.46 (define @t72 () (|tptp.'fun_app$j'| |tptp.'of_nat$'| @t71)) % 1.25/1.46 (define @t73 () (< 0 @t72)) % 1.25/1.46 (define @t74 () (= @t72 0)) % 1.25/1.46 (define @t75 () (not @t74)) % 1.25/1.46 (define @t76 () (@list @t71)) % 1.25/1.46 (define @t77 () (< @t72 0)) % 1.25/1.46 (define @t78 () (@var "A__questionmark_v2" |tptp.'A_rows_vec$'|)) % 1.25/1.46 (define @t79 () (= @t6 @t78)) % 1.25/1.46 (define @t80 () (|tptp.'fun_app$m'| @t57 @t78)) % 1.25/1.46 (define @t81 () (= @t58 @t80)) % 1.25/1.46 (define @t82 () (@list @t55 @t6 @t78)) % 1.25/1.46 (define @t83 () (@var "A__questionmark_v2" |tptp.'A_n_vec$'|)) % 1.25/1.46 (define @t84 () (= @t9 @t83)) % 1.25/1.46 (define @t85 () (|tptp.'fun_app$o'| @t60 @t83)) % 1.25/1.46 (define @t86 () (= @t61 @t85)) % 1.25/1.46 (define @t87 () (@list @t55 @t9 @t83)) % 1.25/1.46 (define @t88 () (=> @t74 false)) % 1.25/1.46 (define @t89 () (|tptp.'fun_app$j'| |tptp.'of_nat$'| @t19)) % 1.25/1.46 (define @t90 () (< @t89 @t72)) % 1.25/1.46 (define @t91 () (< @t72 @t89)) % 1.25/1.46 (define @t92 () (= @t72 @t89)) % 1.25/1.46 (define @t93 () (not @t92)) % 1.25/1.46 (define @t94 () (@list @t71 @t19)) % 1.25/1.46 (define @t95 () (@var "A__questionmark_v0" |tptp.'Nat_bool_fun$'|)) % 1.25/1.46 (define @t96 () (|tptp.'fun_app$g'| @t95 @t19)) % 1.25/1.46 (define @t97 () (@var "A__questionmark_v3" |tptp.'Nat$'|)) % 1.25/1.46 (define @t98 () (|tptp.'fun_app$g'| @t95 @t97)) % 1.25/1.46 (define @t99 () (@var "A__questionmark_v2" |tptp.'Nat$'|)) % 1.25/1.46 (define @t100 () (|tptp.'fun_app$j'| |tptp.'of_nat$'| @t99)) % 1.25/1.46 (define @t101 () (|tptp.'fun_app$j'| |tptp.'of_nat$'| @t97)) % 1.25/1.46 (define @t102 () (< @t101 @t100)) % 1.25/1.46 (define @t103 () (@list @t97)) % 1.25/1.46 (define @t104 () (exists @t103 (and @t102 (not @t98)))) % 1.25/1.46 (define @t105 () (|tptp.'fun_app$g'| @t95 @t99)) % 1.25/1.46 (define @t106 () (not @t105)) % 1.25/1.46 (define @t107 () (@list @t99)) % 1.25/1.46 (define @t108 () (@list @t95 @t19)) % 1.25/1.46 (define @t109 () (< @t72 @t72)) % 1.25/1.46 (define @t110 () (@var "A__questionmark_v1" |tptp.'A$'|)) % 1.25/1.46 (define @t111 () (|tptp.'fun_app$n'| |tptp.'vector_scalar_mult$a'| @t110)) % 1.25/1.46 (define @t112 () (|tptp.'fun_app$p'| |tptp.'vector_scalar_mult$'| @t110)) % 1.25/1.46 (define @t113 () (|tptp.'fun_app$o'| @t60 (|tptp.'fun_app$o'| @t112 @t83))) % 1.25/1.46 (define @t114 () (@list @t55 @t110 @t83)) % 1.25/1.46 (define @t115 () (not @t56)) % 1.25/1.46 (define @t116 () (< 0 @t100)) % 1.25/1.46 (define @t117 () (|tptp.'nat$'| 0)) % 1.25/1.46 (define @t118 () (= @t89 0)) % 1.25/1.46 (define @t119 () (= @t110 @t67)) % 1.25/1.46 (define @t120 () (= @t62 |tptp.'zero$'|)) % 1.25/1.46 (define @t121 () (not @t120)) % 1.25/1.46 (define @t122 () (= @t64 |tptp.'zero$a'|)) % 1.25/1.46 (define @t123 () (not @t122)) % 1.25/1.46 (define @t124 () (= @t71 |tptp.'zero$c'|)) % 1.25/1.46 (define @t125 () (|tptp.'fun_app$q'| |tptp.'less$'| |tptp.'zero$c'|)) % 1.25/1.46 (define @t126 () (|tptp.'fun_app$g'| @t125 @t71)) % 1.25/1.46 (define @t127 () (= @t43 0)) % 1.25/1.46 (define @t128 () (@var "A__questionmark_v3" |tptp.'A_rows_vec$'|)) % 1.25/1.46 (define @t129 () (@list @t128)) % 1.25/1.46 (define @t130 () (@list @t78)) % 1.25/1.46 (define @t131 () (exists @t130 (and (|tptp.'fun_app$b'| (|tptp.'is_solution$'| @t78 @t35) @t6) (forall @t129 (=> (|tptp.'fun_app$b'| (|tptp.'is_solution$'| @t128 @t35) @t6) (= @t128 @t78)))))) % 1.25/1.46 (define @t132 () (@list @t35 @t6)) % 1.25/1.46 (define @t133 () (= @t48 0)) % 1.25/1.46 (define @t134 () (@var "A__questionmark_v3" |tptp.'A_n_vec$'|)) % 1.25/1.46 (define @t135 () (@list @t134)) % 1.25/1.46 (define @t136 () (|tptp.'fun_app$b'| (|tptp.'is_solution$a'| @t83 @t38) @t6)) % 1.25/1.46 (define @t137 () (@list @t83)) % 1.25/1.46 (define @t138 () (exists @t137 (and @t136 (forall @t135 (=> (|tptp.'fun_app$b'| (|tptp.'is_solution$a'| @t134 @t38) @t6) (= @t134 @t83)))))) % 1.25/1.46 (define @t139 () (@list @t38 @t6)) % 1.25/1.46 (define @t140 () (|tptp.'null_space$'| @t35)) % 1.25/1.46 (define @t141 () (|tptp.'null_space$a'| @t38)) % 1.25/1.46 (define @t142 () (@var "A__questionmark_v2" Real)) % 1.25/1.46 (define @t143 () (< @t142 @t14)) % 1.25/1.46 (define @t144 () (@var "A__questionmark_v0" Real)) % 1.25/1.46 (define @t145 () (< @t142 @t144)) % 1.25/1.46 (define @t146 () (@list @t142)) % 1.25/1.46 (define @t147 () (@list @t144 @t14)) % 1.25/1.46 (define @t148 () (@var "A__questionmark_v1" |tptp.'A_n_vec_bool_fun$'|)) % 1.25/1.46 (define @t149 () (|tptp.'member$a'| @t64)) % 1.25/1.46 (define @t150 () (@var "A__questionmark_v1" |tptp.'A_rows_vec_bool_fun$'|)) % 1.25/1.46 (define @t151 () (@var "A__questionmark_v1" |tptp.'Int_bool_fun$'|)) % 1.25/1.46 (define @t152 () (|tptp.'member$d'| @t2)) % 1.25/1.46 (define @t153 () (@var "A__questionmark_v1" |tptp.'Real_bool_fun$'|)) % 1.25/1.46 (define @t154 () (|tptp.'member$b'| @t144)) % 1.25/1.46 (define @t155 () (@var "A__questionmark_v1" |tptp.'Nat_bool_fun$'|)) % 1.25/1.46 (define @t156 () (|tptp.'collect$d'| @t155)) % 1.25/1.46 (define @t157 () (|tptp.'member$c'| @t71)) % 1.25/1.46 (define @t158 () (@list @t8)) % 1.25/1.46 (define @t159 () (@list @t5)) % 1.25/1.46 (define @t160 () (@list @t23)) % 1.25/1.46 (define @t161 () (@list @t13)) % 1.25/1.46 (define @t162 () (@list @t18)) % 1.25/1.46 (define @t163 () (= @t19 |tptp.'zero$c'|)) % 1.25/1.46 (define @t164 () (|tptp.'fun_app$q'| |tptp.'less$'| @t71)) % 1.25/1.46 (define @t165 () (@var "A__questionmark_v1" |tptp.'Int_set_bool_fun$'|)) % 1.25/1.46 (define @t166 () (|tptp.'fun_app$i'| @t165 @t23)) % 1.25/1.46 (define @t167 () (@var "A__questionmark_v2" |tptp.'Int_set$'|)) % 1.25/1.46 (define @t168 () (@var "A__questionmark_v3" |tptp.'Int_set$'|)) % 1.25/1.46 (define @t169 () (|tptp.'fun_app$i'| @t165 @t168)) % 1.25/1.46 (define @t170 () (|tptp.'fun_app$i'| |tptp.'finite$b'| @t23)) % 1.25/1.46 (define @t171 () (@list @t23 @t165)) % 1.25/1.46 (define @t172 () (@var "A__questionmark_v1" |tptp.'Real_set_bool_fun$'|)) % 1.25/1.46 (define @t173 () (@var "A__questionmark_v2" |tptp.'Real_set$'|)) % 1.25/1.46 (define @t174 () (@var "A__questionmark_v3" |tptp.'Real_set$'|)) % 1.25/1.46 (define @t175 () (|tptp.'fun_app$f'| |tptp.'finite$c'| @t13)) % 1.25/1.46 (define @t176 () (@var "A__questionmark_v1" |tptp.'A_n_vec_set_bool_fun$'|)) % 1.25/1.46 (define @t177 () (|tptp.'fun_app$d'| @t176 @t8)) % 1.25/1.46 (define @t178 () (@var "A__questionmark_v2" |tptp.'A_n_vec_set$'|)) % 1.25/1.46 (define @t179 () (@var "A__questionmark_v3" |tptp.'A_n_vec_set$'|)) % 1.25/1.46 (define @t180 () (|tptp.'fun_app$d'| @t176 @t179)) % 1.25/1.46 (define @t181 () (|tptp.'fun_app$d'| |tptp.'finite$'| @t178)) % 1.25/1.46 (define @t182 () (@list @t178)) % 1.25/1.46 (define @t183 () (|tptp.'fun_app$d'| |tptp.'finite$'| @t8)) % 1.25/1.46 (define @t184 () (@list @t8 @t176)) % 1.25/1.46 (define @t185 () (@var "A__questionmark_v1" |tptp.'Nat_set_bool_fun$'|)) % 1.25/1.46 (define @t186 () (|tptp.'fun_app$h'| @t185 @t18)) % 1.25/1.46 (define @t187 () (@var "A__questionmark_v2" |tptp.'Nat_set$'|)) % 1.25/1.46 (define @t188 () (@var "A__questionmark_v3" |tptp.'Nat_set$'|)) % 1.25/1.46 (define @t189 () (|tptp.'fun_app$h'| @t185 @t188)) % 1.25/1.46 (define @t190 () (|tptp.'fun_app$h'| |tptp.'finite$d'| @t187)) % 1.25/1.46 (define @t191 () (@list @t187)) % 1.25/1.46 (define @t192 () (|tptp.'fun_app$h'| |tptp.'finite$d'| @t18)) % 1.25/1.46 (define @t193 () (@list @t18 @t185)) % 1.25/1.46 (define @t194 () (= @t2 0)) % 1.25/1.46 (define @t195 () (@list @t2)) % 1.25/1.46 (define @t196 () (= @t144 0/1)) % 1.25/1.46 (define @t197 () (@list @t144)) % 1.25/1.46 (define @t198 () (|tptp.'fun_app$b'| (|tptp.'consistent$'| @t35) @t6)) % 1.25/1.46 (define @t199 () (|tptp.'consistent$a'| @t38)) % 1.25/1.46 (define @t200 () (|tptp.'fun_app$b'| @t199 @t6)) % 1.25/1.46 (define @t201 () (and @t133 @t200)) % 1.25/1.46 (define @t202 () (< 0 0)) % 1.25/1.46 (define @t203 () (|tptp.'fun_app$r'| |tptp.'of_nat$a'| @t71)) % 1.25/1.46 (define @t204 () (|tptp.'fun_app$s'| |tptp.'of_nat$b'| @t71)) % 1.25/1.46 (define @t205 () (= @t110 |tptp.'zero$b'|)) % 1.25/1.46 (define @t206 () (@var "A__questionmark_v0" |tptp.'Rows$'|)) % 1.25/1.46 (define @t207 () (|tptp.'axis$'| @t206 @t110)) % 1.25/1.46 (define @t208 () (@var "A__questionmark_v0" |tptp.'A_a_rows_vec_a_rows_vec_fun_fun$'|)) % 1.25/1.46 (define @t209 () (|tptp.'dim$a'| @t208)) % 1.25/1.46 (define @t210 () (@var "A__questionmark_v0" |tptp.'Real_real_real_fun_fun$'|)) % 1.25/1.46 (define @t211 () (|tptp.'dim$b'| @t210)) % 1.25/1.46 (define @t212 () (@var "A__questionmark_v0" |tptp.'A_a_n_vec_a_n_vec_fun_fun$'|)) % 1.25/1.46 (define @t213 () (|tptp.'dim$'| @t212)) % 1.25/1.46 (define @t214 () (|tptp.'vec$'| |tptp.'zero$b'|)) % 1.25/1.46 (define @t215 () (exists @t137 @t136)) % 1.25/1.46 (define @t216 () (|tptp.'fun_app$b'| (|tptp.'inconsistent$'| @t38) @t6)) % 1.25/1.46 (define @t217 () (@var "A__questionmark_v1" |tptp.'Nat_set$'|)) % 1.25/1.46 (define @t218 () (|tptp.'fun_app$h'| |tptp.'finite$d'| @t217)) % 1.25/1.46 (define @t219 () (not @t218)) % 1.25/1.46 (define @t220 () (|tptp.'member$c'| @t97)) % 1.25/1.46 (define @t221 () (|tptp.'fun_app$h'| @t220 @t217)) % 1.25/1.46 (define @t222 () (< @t72 @t100)) % 1.25/1.46 (define @t223 () (@list @t71 @t217)) % 1.25/1.46 (define @t224 () (|tptp.'of_nat$c'| @t71)) % 1.25/1.46 (define @t225 () (|tptp.'fun_app$r'| |tptp.'of_nat$a'| @t19)) % 1.25/1.46 (define @t226 () (|tptp.'fun_app$s'| |tptp.'of_nat$b'| @t19)) % 1.25/1.46 (define @t227 () (|tptp.'of_nat$d'| @t71)) % 1.25/1.46 (define @t228 () (= 0 @t72)) % 1.25/1.46 (define @t229 () (|tptp.'of_nat$d'| @t117)) % 1.25/1.46 (define @t230 () (|tptp.'fun_app$q'| |tptp.'less$'| @t203)) % 1.25/1.46 (define @t231 () (|tptp.'fun_app$g'| @t230 @t225)) % 1.25/1.46 (define @t232 () (< @t204 @t226)) % 1.25/1.46 (define @t233 () (= @t5 |tptp.'bot$'|)) % 1.25/1.46 (define @t234 () (@var "A__questionmark_v1" |tptp.'A_rows_vec_a_rows_vec_bool_fun_fun$'|)) % 1.25/1.46 (define @t235 () (|tptp.'fun_app$t'| @t234 @t78)) % 1.25/1.46 (define @t236 () (|tptp.'fun_app$b'| @t235 @t128)) % 1.25/1.46 (define @t237 () (@var "A__questionmark_v4" |tptp.'A_rows_vec$'|)) % 1.25/1.46 (define @t238 () (= @t13 |tptp.'bot$b'|)) % 1.25/1.46 (define @t239 () (@var "A__questionmark_v3" Real)) % 1.25/1.46 (define @t240 () (@var "A__questionmark_v1" |tptp.'Real_real_bool_fun_fun$'|)) % 1.25/1.46 (define @t241 () (|tptp.'fun_app$u'| @t240 @t142)) % 1.25/1.46 (define @t242 () (|tptp.'fun_app$e'| @t241 @t239)) % 1.25/1.46 (define @t243 () (|tptp.'fun_app$f'| (|tptp.'member$b'| @t239) @t13)) % 1.25/1.46 (define @t244 () (@list @t239)) % 1.25/1.46 (define @t245 () (|tptp.'fun_app$f'| (|tptp.'member$b'| @t142) @t13)) % 1.25/1.46 (define @t246 () (@var "A__questionmark_v4" Real)) % 1.25/1.46 (define @t247 () (= @t23 |tptp.'bot$c'|)) % 1.25/1.46 (define @t248 () (@var "A__questionmark_v3" Int)) % 1.25/1.46 (define @t249 () (@var "A__questionmark_v2" Int)) % 1.25/1.46 (define @t250 () (@var "A__questionmark_v1" |tptp.'Int_int_bool_fun_fun$'|)) % 1.25/1.46 (define @t251 () (|tptp.'fun_app$a'| @t250 @t249)) % 1.25/1.46 (define @t252 () (|tptp.'fun_app$'| @t251 @t248)) % 1.25/1.46 (define @t253 () (|tptp.'fun_app$i'| (|tptp.'member$d'| @t248) @t23)) % 1.25/1.46 (define @t254 () (@list @t248)) % 1.25/1.46 (define @t255 () (|tptp.'fun_app$i'| (|tptp.'member$d'| @t249) @t23)) % 1.25/1.46 (define @t256 () (@list @t249)) % 1.25/1.46 (define @t257 () (@var "A__questionmark_v4" Int)) % 1.25/1.46 (define @t258 () (= @t8 |tptp.'bot$a'|)) % 1.25/1.46 (define @t259 () (@var "A__questionmark_v1" |tptp.'A_n_vec_a_n_vec_bool_fun_fun$'|)) % 1.25/1.46 (define @t260 () (|tptp.'fun_app$v'| @t259 @t83)) % 1.25/1.46 (define @t261 () (|tptp.'fun_app$c'| @t260 @t134)) % 1.25/1.46 (define @t262 () (|tptp.'member$a'| @t134)) % 1.25/1.46 (define @t263 () (|tptp.'member$a'| @t83)) % 1.25/1.46 (define @t264 () (|tptp.'fun_app$d'| @t263 @t8)) % 1.25/1.46 (define @t265 () (@var "A__questionmark_v4" |tptp.'A_n_vec$'|)) % 1.25/1.46 (define @t266 () (= @t18 |tptp.'bot$d'|)) % 1.25/1.46 (define @t267 () (@var "A__questionmark_v1" |tptp.'Nat_nat_bool_fun_fun$'|)) % 1.25/1.46 (define @t268 () (|tptp.'fun_app$q'| @t267 @t99)) % 1.25/1.46 (define @t269 () (|tptp.'fun_app$g'| @t268 @t97)) % 1.25/1.46 (define @t270 () (|tptp.'fun_app$h'| @t220 @t18)) % 1.25/1.46 (define @t271 () (|tptp.'member$c'| @t99)) % 1.25/1.46 (define @t272 () (|tptp.'fun_app$h'| @t271 @t18)) % 1.25/1.46 (define @t273 () (@var "A__questionmark_v4" |tptp.'Nat$'|)) % 1.25/1.46 (define @t274 () (not @t238)) % 1.25/1.46 (define @t275 () (not @t175)) % 1.25/1.46 (define @t276 () (not @t247)) % 1.25/1.46 (define @t277 () (not @t170)) % 1.25/1.46 (define @t278 () (not @t258)) % 1.25/1.46 (define @t279 () (not @t183)) % 1.25/1.46 (define @t280 () (not @t266)) % 1.25/1.46 (define @t281 () (not @t192)) % 1.25/1.46 (define @t282 () (@var "A__questionmark_v3" |tptp.'A$'|)) % 1.25/1.46 (define @t283 () (@var "A__questionmark_v2" |tptp.'Rows$'|)) % 1.25/1.46 (define @t284 () (< @t89 @t100)) % 1.25/1.46 (define @t285 () (@list @t19)) % 1.25/1.46 (define @t286 () (@list @t14)) % 1.25/1.46 (define @t287 () (and @t175 @t274)) % 1.25/1.46 (define @t288 () (@var "A__questionmark_v0" |tptp.'Nat_set_set$'|)) % 1.25/1.46 (define @t289 () (@var "A__questionmark_v1" |tptp.'A_n_vec_set$'|)) % 1.25/1.46 (define @t290 () (@var "A__questionmark_v0" |tptp.'A_n_vec_set_set$'|)) % 1.25/1.46 (define @t291 () (|tptp.'fun_app$q'| |tptp.'less$'| @t99)) % 1.25/1.46 (define @t292 () (and @t192 @t280)) % 1.25/1.46 (define @t293 () (< @t249 @t1)) % 1.25/1.46 (define @t294 () (@list @t1)) % 1.25/1.46 (define @t295 () (and @t170 @t276)) % 1.25/1.46 (define @t296 () (< @t14 @t142)) % 1.25/1.46 (define @t297 () (< @t1 @t249)) % 1.25/1.46 (define @t298 () (|tptp.'fun_app$h'| @t157 |tptp.'bot$d'|)) % 1.25/1.46 (define @t299 () (not @t20)) % 1.25/1.46 (define @t300 () (< @t1 @t2)) % 1.25/1.46 (define @t301 () (= @t2 @t1)) % 1.25/1.46 (define @t302 () (not @t301)) % 1.25/1.46 (define @t303 () (< @t2 @t249)) % 1.25/1.46 (define @t304 () (@list @t2 @t1 @t249)) % 1.25/1.46 (define @t305 () (= @t1 @t249)) % 1.25/1.46 (define @t306 () (= @t1 @t2)) % 1.25/1.46 (define @t307 () (not @t300)) % 1.25/1.46 (define @t308 () (not @t3)) % 1.25/1.46 (define @t309 () (=> @t300 false)) % 1.25/1.46 (define @t310 () (=> @t3 false)) % 1.25/1.46 (define @t311 () (< @t2 @t2)) % 1.25/1.46 (define @t312 () (@var "A__questionmark_v0" |tptp.'Int_int_bool_fun_fun$'|)) % 1.25/1.46 (define @t313 () (|tptp.'fun_app$'| (|tptp.'fun_app$a'| @t312 @t1) @t249)) % 1.25/1.46 (define @t314 () (|tptp.'fun_app$a'| @t312 @t248)) % 1.25/1.46 (define @t315 () (|tptp.'fun_app$'| @t314 @t257)) % 1.25/1.46 (define @t316 () (@list @t248 @t257)) % 1.25/1.46 (define @t317 () (forall @t316 (=> (|tptp.'fun_app$'| (|tptp.'fun_app$a'| @t312 @t257) @t248) @t315))) % 1.25/1.46 (define @t318 () (@list @t312 @t1 @t249)) % 1.25/1.46 (define @t319 () (< @t249 @t2)) % 1.25/1.46 (define @t320 () (not @t306)) % 1.25/1.46 (define @t321 () (@var "A__questionmark_v1" |tptp.'Int_int_fun$'|)) % 1.25/1.46 (define @t322 () (|tptp.'fun_app$w'| @t321 @t248)) % 1.25/1.46 (define @t323 () (< @t2 @t322)) % 1.25/1.46 (define @t324 () (@var "A__questionmark_v5" Int)) % 1.25/1.46 (define @t325 () (|tptp.'fun_app$w'| @t321 @t324)) % 1.25/1.46 (define @t326 () (|tptp.'fun_app$w'| @t321 @t257)) % 1.25/1.46 (define @t327 () (< @t257 @t324)) % 1.25/1.46 (define @t328 () (@list @t257 @t324)) % 1.25/1.46 (define @t329 () (forall @t328 (=> @t327 (< @t326 @t325)))) % 1.25/1.46 (define @t330 () (< @t249 @t248)) % 1.25/1.46 (define @t331 () (|tptp.'fun_app$w'| @t321 @t249)) % 1.25/1.46 (define @t332 () (= @t2 @t331)) % 1.25/1.46 (define @t333 () (@list @t2 @t321 @t249 @t248)) % 1.25/1.46 (define @t334 () (@var "A__questionmark_v2" |tptp.'Int_int_fun$'|)) % 1.25/1.46 (define @t335 () (|tptp.'fun_app$w'| @t334 @t2)) % 1.25/1.46 (define @t336 () (< @t335 @t248)) % 1.25/1.46 (define @t337 () (|tptp.'fun_app$w'| @t334 @t324)) % 1.25/1.46 (define @t338 () (|tptp.'fun_app$w'| @t334 @t257)) % 1.25/1.46 (define @t339 () (forall @t328 (=> @t327 (< @t338 @t337)))) % 1.25/1.46 (define @t340 () (|tptp.'fun_app$w'| @t334 @t1)) % 1.25/1.46 (define @t341 () (= @t340 @t248)) % 1.25/1.46 (define @t342 () (@list @t2 @t1 @t334 @t248)) % 1.25/1.46 (define @t343 () (< @t2 @t331)) % 1.25/1.46 (define @t344 () (< @t340 @t248)) % 1.25/1.46 (define @t345 () (@var "A__questionmark_v2" tptp.tlbool)) % 1.25/1.46 (define @t346 () (|tptp.'fun_app$h'| @t271 @t217)) % 1.25/1.46 (define @t347 () (@list @t18 @t217 @t99)) % 1.25/1.46 (define @t348 () (= @t71 |tptp.'bot$g'|)) % 1.25/1.46 (define @t349 () (@var "A__questionmark_v1" |tptp.'A_n_vec_int_fun$'|)) % 1.25/1.46 (define @t350 () (@var "A__questionmark_v1" |tptp.'Nat_int_fun$'|)) % 1.25/1.46 (define @t351 () (< 0 @t89)) % 1.25/1.46 (define @t352 () (= @t2 @t89)) % 1.25/1.46 (define @t353 () (< 0 @t2)) % 1.25/1.46 (define @t354 () (|tptp.'insert$'| |tptp.'zero$'| |tptp.'bot$'|)) % 1.25/1.46 (define @t355 () (|tptp.'insert$a'| |tptp.'zero$a'| |tptp.'bot$a'|)) % 1.25/1.46 (define @t356 () (|tptp.'enumerate$'| @t18)) % 1.25/1.46 (define @t357 () (|tptp.'fun_app$r'| @t356 @t99)) % 1.25/1.46 (define @t358 () (|tptp.'fun_app$r'| @t356 @t19)) % 1.25/1.46 (define @t359 () (= (|tptp.'fun_app$g'| (|tptp.'fun_app$q'| |tptp.'less$'| @t358) @t357) @t284)) % 1.25/1.46 (define @t360 () (@list @t18 @t19 @t99)) % 1.25/1.46 (define @t361 () (|tptp.'fun_app$h'| @t157 @t187)) % 1.25/1.46 (define @t362 () (= @t71 @t19)) % 1.25/1.46 (define @t363 () (|tptp.'fun_app$h'| @t157 (|tptp.'insert$b'| @t19 @t187))) % 1.25/1.46 (define @t364 () (@list @t71 @t19 @t187)) % 1.25/1.46 (define @t365 () (|tptp.'insert$b'| @t99 @t217)) % 1.25/1.46 (define @t366 () (|tptp.'fun_app$h'| @t157 @t365)) % 1.25/1.46 (define @t367 () (= @t71 @t99)) % 1.25/1.46 (define @t368 () (|tptp.'fun_app$h'| @t157 @t217)) % 1.25/1.46 (define @t369 () (not @t368)) % 1.25/1.46 (define @t370 () (@list @t71 @t217 @t99)) % 1.25/1.46 (define @t371 () (|tptp.'fun_app$d'| |tptp.'finite$'| @t289)) % 1.25/1.46 (define @t372 () (|tptp.'insert$b'| @t71 @t217)) % 1.25/1.46 (define @t373 () (not @t361)) % 1.25/1.46 (define @t374 () (|tptp.'insert$b'| @t71 @t187)) % 1.25/1.46 (define @t375 () (and (= @t217 @t374) @t373)) % 1.25/1.46 (define @t376 () (@var "A__questionmark_v4" |tptp.'Nat_set$'|)) % 1.25/1.46 (define @t377 () (|tptp.'insert$b'| @t99 @t188)) % 1.25/1.46 (define @t378 () (not (|tptp.'fun_app$h'| @t271 @t188))) % 1.25/1.46 (define @t379 () (@list @t71 @t217 @t187)) % 1.25/1.46 (define @t380 () (|tptp.'fun_app$h'| @t157 (|tptp.'insert$b'| @t19 |tptp.'bot$d'|))) % 1.25/1.46 (define @t381 () (and (= @t8 (|tptp.'insert$a'| @t83 @t289)) @t371)) % 1.25/1.46 (define @t382 () (@list @t289 @t83)) % 1.25/1.46 (define @t383 () (and (= @t18 @t365) @t218)) % 1.25/1.46 (define @t384 () (@list @t217 @t99)) % 1.25/1.46 (define @t385 () (|tptp.'insert$a'| @t83 @t179)) % 1.25/1.46 (define @t386 () (|tptp.'fun_app$d'| @t176 @t385)) % 1.25/1.46 (define @t387 () (not (|tptp.'fun_app$d'| @t263 @t179))) % 1.25/1.46 (define @t388 () (|tptp.'fun_app$d'| |tptp.'finite$'| @t179)) % 1.25/1.46 (define @t389 () (@list @t83 @t179)) % 1.25/1.46 (define @t390 () (|tptp.'fun_app$d'| @t176 |tptp.'bot$a'|)) % 1.25/1.46 (define @t391 () (|tptp.'fun_app$h'| @t185 @t377)) % 1.25/1.46 (define @t392 () (|tptp.'fun_app$h'| |tptp.'finite$d'| @t188)) % 1.25/1.46 (define @t393 () (@list @t99 @t188)) % 1.25/1.46 (define @t394 () (|tptp.'fun_app$h'| @t185 |tptp.'bot$d'|)) % 1.25/1.46 (define @t395 () (@var "A__questionmark_v0" |tptp.'A_n_vec_set_bool_fun$'|)) % 1.25/1.46 (define @t396 () (@var "A__questionmark_v0" |tptp.'Nat_set_bool_fun$'|)) % 1.25/1.46 (define @t397 () (not @t190)) % 1.25/1.46 (define @t398 () (|tptp.'fun_app$h'| (|tptp.'member$c'| @t273) @t188)) % 1.25/1.46 (define @t399 () (@list @t273)) % 1.25/1.46 (define @t400 () (|tptp.'fun_app$i'| @t165 (|tptp.'insert$c'| @t249 @t168))) % 1.25/1.46 (define @t401 () (|tptp.'fun_app$i'| (|tptp.'member$d'| @t257) @t168)) % 1.25/1.46 (define @t402 () (@list @t257)) % 1.25/1.46 (define @t403 () (|tptp.'fun_app$i'| |tptp.'finite$b'| @t168)) % 1.25/1.46 (define @t404 () (@list @t249 @t168)) % 1.25/1.46 (define @t405 () (|tptp.'fun_app$i'| @t165 |tptp.'bot$c'|)) % 1.25/1.46 (define @t406 () (|tptp.'enumerate$'| @t187)) % 1.25/1.46 (define @t407 () (= (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'fun_app$l'| @t42 @t5)) 0)) % 1.25/1.46 (define @t408 () (or @t233 (= @t5 @t354))) % 1.25/1.46 (define @t409 () (= (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'fun_app$k'| @t28 @t8)) 0)) % 1.25/1.46 (define @t410 () (or @t258 (= @t8 @t355))) % 1.25/1.46 (define @t411 () (|tptp.'insert$d'| 0/1 |tptp.'bot$b'|)) % 1.25/1.46 (define @t412 () (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'fun_app$l'| @t42 (|tptp.'insert$'| @t62 |tptp.'bot$'|)))) % 1.25/1.46 (define @t413 () (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'fun_app$k'| @t28 (|tptp.'insert$a'| @t64 |tptp.'bot$a'|)))) % 1.25/1.46 (define @t414 () (|tptp.'nat$'| 1)) % 1.25/1.46 (define @t415 () (= @t72 1)) % 1.25/1.46 (define @t416 () (= @t2 1)) % 1.25/1.46 (define @t417 () (@var "A__questionmark_v0" tptp.tlbool)) % 1.25/1.46 (define @t418 () (= @t417 tptp.tltrue)) % 1.25/1.46 (define @t419 () (not @t418)) % 1.25/1.46 (define @t420 () (= @t89 @t100)) % 1.25/1.46 (define @t421 () (< 1 @t72)) % 1.25/1.46 (define @t422 () (@var "A__questionmark_v2" |tptp.'Nat_bool_fun$'|)) % 1.25/1.46 (define @t423 () (|tptp.'fun_app$g'| @t422 @t97)) % 1.25/1.46 (define @t424 () (|tptp.'less_eq$a'| @t8)) % 1.25/1.46 (define @t425 () (|tptp.'fun_app$h'| (|tptp.'less_eq$b'| @t18) @t217)) % 1.25/1.46 (define @t426 () (forall @t107 (=> @t272 @t346))) % 1.25/1.46 (define @t427 () (@list @t18 @t217)) % 1.25/1.46 (define @t428 () (<= @t72 @t89)) % 1.25/1.46 (define @t429 () (<= @t204 @t226)) % 1.25/1.46 (define @t430 () (|tptp.'less_eq$b'| @t217)) % 1.25/1.46 (define @t431 () (|tptp.'fun_app$h'| @t430 @t187)) % 1.25/1.46 (define @t432 () (<= @t72 0)) % 1.25/1.46 (define @t433 () (<= @t1 @t2)) % 1.25/1.46 (define @t434 () (<= @t2 @t1)) % 1.25/1.46 (define @t435 () (not @t434)) % 1.25/1.46 (define @t436 () (= @t14 @t144)) % 1.25/1.46 (define @t437 () (not @t436)) % 1.25/1.46 (define @t438 () (<= @t14 @t144)) % 1.25/1.46 (define @t439 () (<= @t144 @t14)) % 1.25/1.46 (define @t440 () (not @t439)) % 1.25/1.46 (define @t441 () (<= @t249 @t2)) % 1.25/1.46 (define @t442 () (<= @t1 @t249)) % 1.25/1.46 (define @t443 () (<= @t249 @t1)) % 1.25/1.46 (define @t444 () (<= @t2 @t249)) % 1.25/1.46 (define @t445 () (and @t434 @t442)) % 1.25/1.46 (define @t446 () (<= @t142 @t144)) % 1.25/1.46 (define @t447 () (<= @t14 @t142)) % 1.25/1.46 (define @t448 () (<= @t142 @t14)) % 1.25/1.46 (define @t449 () (<= @t144 @t142)) % 1.25/1.46 (define @t450 () (and @t439 @t447)) % 1.25/1.46 (define @t451 () (@list @t144 @t14 @t142)) % 1.25/1.46 (define @t452 () (and @t434 @t433)) % 1.25/1.46 (define @t453 () (and @t439 @t438)) % 1.25/1.46 (define @t454 () (= @t144 @t14)) % 1.25/1.46 (define @t455 () (= @t14 @t142)) % 1.25/1.46 (define @t456 () (@var "A__questionmark_v0" |tptp.'Real_real_bool_fun_fun$'|)) % 1.25/1.46 (define @t457 () (|tptp.'fun_app$e'| (|tptp.'fun_app$u'| @t456 @t239) @t246)) % 1.25/1.46 (define @t458 () (@list @t239 @t246)) % 1.25/1.46 (define @t459 () (<= @t2 @t322)) % 1.25/1.46 (define @t460 () (<= @t257 @t324)) % 1.25/1.46 (define @t461 () (forall @t328 (=> @t460 (<= @t326 @t325)))) % 1.25/1.46 (define @t462 () (<= @t249 @t248)) % 1.25/1.46 (define @t463 () (<= @t2 @t331)) % 1.25/1.46 (define @t464 () (@var "A__questionmark_v1" |tptp.'Real_int_fun$'|)) % 1.25/1.46 (define @t465 () (|tptp.'fun_app$y'| @t464 @t239)) % 1.25/1.46 (define @t466 () (<= @t2 @t465)) % 1.25/1.46 (define @t467 () (@var "A__questionmark_v5" Real)) % 1.25/1.46 (define @t468 () (<= @t246 @t467)) % 1.25/1.46 (define @t469 () (@list @t246 @t467)) % 1.25/1.46 (define @t470 () (forall @t469 (=> @t468 (<= (|tptp.'fun_app$y'| @t464 @t246) (|tptp.'fun_app$y'| @t464 @t467))))) % 1.25/1.46 (define @t471 () (<= @t142 @t239)) % 1.25/1.46 (define @t472 () (|tptp.'fun_app$y'| @t464 @t142)) % 1.25/1.46 (define @t473 () (@list @t2 @t464 @t142 @t239)) % 1.25/1.46 (define @t474 () (@var "A__questionmark_v1" |tptp.'Int_real_fun$'|)) % 1.25/1.46 (define @t475 () (|tptp.'fun_app$z'| @t474 @t248)) % 1.25/1.46 (define @t476 () (<= @t144 @t475)) % 1.25/1.46 (define @t477 () (|tptp.'fun_app$z'| @t474 @t324)) % 1.25/1.46 (define @t478 () (|tptp.'fun_app$z'| @t474 @t257)) % 1.25/1.46 (define @t479 () (forall @t328 (=> @t460 (<= @t478 @t477)))) % 1.25/1.46 (define @t480 () (|tptp.'fun_app$z'| @t474 @t249)) % 1.25/1.46 (define @t481 () (<= @t144 @t480)) % 1.25/1.46 (define @t482 () (@list @t144 @t474 @t249 @t248)) % 1.25/1.46 (define @t483 () (@var "A__questionmark_v1" |tptp.'Real_real_fun$'|)) % 1.25/1.46 (define @t484 () (|tptp.'fun_app$aa'| @t483 @t239)) % 1.25/1.46 (define @t485 () (<= @t144 @t484)) % 1.25/1.46 (define @t486 () (forall @t469 (=> @t468 (<= (|tptp.'fun_app$aa'| @t483 @t246) (|tptp.'fun_app$aa'| @t483 @t467))))) % 1.25/1.46 (define @t487 () (|tptp.'fun_app$aa'| @t483 @t142)) % 1.25/1.46 (define @t488 () (@list @t144 @t483 @t142 @t239)) % 1.25/1.46 (define @t489 () (<= @t335 @t248)) % 1.25/1.46 (define @t490 () (forall @t328 (=> @t460 (<= @t338 @t337)))) % 1.25/1.46 (define @t491 () (<= @t340 @t248)) % 1.25/1.46 (define @t492 () (@var "A__questionmark_v2" |tptp.'Int_real_fun$'|)) % 1.25/1.46 (define @t493 () (|tptp.'fun_app$z'| @t492 @t2)) % 1.25/1.46 (define @t494 () (<= @t493 @t239)) % 1.25/1.46 (define @t495 () (|tptp.'fun_app$z'| @t492 @t324)) % 1.25/1.46 (define @t496 () (|tptp.'fun_app$z'| @t492 @t257)) % 1.25/1.46 (define @t497 () (forall @t328 (=> @t460 (<= @t496 @t495)))) % 1.25/1.46 (define @t498 () (|tptp.'fun_app$z'| @t492 @t1)) % 1.25/1.46 (define @t499 () (<= @t498 @t239)) % 1.25/1.46 (define @t500 () (@list @t2 @t1 @t492 @t239)) % 1.25/1.46 (define @t501 () (@var "A__questionmark_v2" |tptp.'Real_int_fun$'|)) % 1.25/1.46 (define @t502 () (|tptp.'fun_app$y'| @t501 @t144)) % 1.25/1.46 (define @t503 () (<= @t502 @t248)) % 1.25/1.46 (define @t504 () (forall @t469 (=> @t468 (<= (|tptp.'fun_app$y'| @t501 @t246) (|tptp.'fun_app$y'| @t501 @t467))))) % 1.25/1.46 (define @t505 () (|tptp.'fun_app$y'| @t501 @t14)) % 1.25/1.46 (define @t506 () (@list @t144 @t14 @t501 @t248)) % 1.25/1.46 (define @t507 () (@var "A__questionmark_v2" |tptp.'Real_real_fun$'|)) % 1.25/1.46 (define @t508 () (|tptp.'fun_app$aa'| @t507 @t144)) % 1.25/1.46 (define @t509 () (<= @t508 @t239)) % 1.25/1.46 (define @t510 () (forall @t469 (=> @t468 (<= (|tptp.'fun_app$aa'| @t507 @t246) (|tptp.'fun_app$aa'| @t507 @t467))))) % 1.25/1.46 (define @t511 () (|tptp.'fun_app$aa'| @t507 @t14)) % 1.25/1.46 (define @t512 () (@list @t144 @t14 @t507 @t239)) % 1.25/1.46 (define @t513 () (|tptp.'fun_app$d'| (|tptp.'less_eq$a'| @t289) @t8)) % 1.25/1.46 (define @t514 () (and @t183 @t513)) % 1.25/1.46 (define @t515 () (@list @t8 @t289)) % 1.25/1.46 (define @t516 () (|tptp.'fun_app$h'| @t430 @t18)) % 1.25/1.46 (define @t517 () (and @t192 @t516)) % 1.25/1.46 (define @t518 () (|tptp.'fun_app$d'| @t424 @t289)) % 1.25/1.46 (define @t519 () (= @t99 @t97)) % 1.25/1.46 (define @t520 () (|tptp.'fun_app$q'| |tptp.'less_eq$c'| @t99)) % 1.25/1.46 (define @t521 () (|tptp.'fun_app$g'| @t520 @t19)) % 1.25/1.46 (define @t522 () (and @t192 @t20)) % 1.25/1.46 (define @t523 () (= @t249 @t248)) % 1.25/1.46 (define @t524 () (and @t170 @t24)) % 1.25/1.46 (define @t525 () (= @t142 @t239)) % 1.25/1.46 (define @t526 () (<= @t239 @t142)) % 1.25/1.46 (define @t527 () (and @t175 @t15)) % 1.25/1.46 (define @t528 () (|tptp.'fun_app$g'| (|tptp.'fun_app$q'| |tptp.'less_eq$c'| @t19) @t99)) % 1.25/1.46 (define @t529 () (|tptp.'fun_app$g'| (|tptp.'fun_app$q'| |tptp.'less_eq$c'| @t71) |tptp.'bot$g'|)) % 1.25/1.46 (define @t530 () (< @t14 @t144)) % 1.25/1.46 (define @t531 () (< @t144 @t14)) % 1.25/1.46 (define @t532 () (not @t531)) % 1.25/1.46 (define @t533 () (< @t144 @t142)) % 1.25/1.46 (define @t534 () (or @t3 @t301)) % 1.25/1.46 (define @t535 () (or @t531 @t454)) % 1.25/1.46 (define @t536 () (and @t434 @t302)) % 1.25/1.46 (define @t537 () (not @t454)) % 1.25/1.46 (define @t538 () (and @t439 @t537)) % 1.25/1.46 (define @t539 () (and (< @t144 @t239) (< @t239 @t14))) % 1.25/1.46 (define @t540 () (< @t144 @t475)) % 1.25/1.46 (define @t541 () (< @t493 @t239)) % 1.25/1.46 (define @t542 () (<= 0 0)) % 1.25/1.46 (define @t543 () (<= 0 @t72)) % 1.25/1.46 (define @t544 () (= @t19 @t99)) % 1.25/1.46 (define @t545 () (@var "A__questionmark_v4" |tptp.'A_n_vec_set$'|)) % 1.25/1.46 (define @t546 () (|tptp.'insert$a'| @t134 @t545)) % 1.25/1.46 (define @t547 () (|tptp.'fun_app$d'| @t176 @t546)) % 1.25/1.46 (define @t548 () (|tptp.'fun_app$d'| @t176 @t545)) % 1.25/1.46 (define @t549 () (@var "A__questionmark_v2" |tptp.'A_n_vec_int_fun$'|)) % 1.25/1.46 (define @t550 () (@var "A__questionmark_v5" |tptp.'A_n_vec$'|)) % 1.25/1.46 (define @t551 () (|tptp.'fun_app$d'| (|tptp.'member$a'| @t550) @t545)) % 1.25/1.46 (define @t552 () (@list @t550)) % 1.25/1.46 (define @t553 () (|tptp.'fun_app$d'| |tptp.'finite$'| @t545)) % 1.25/1.46 (define @t554 () (@list @t134 @t545)) % 1.25/1.46 (define @t555 () (|tptp.'insert$b'| @t97 @t376)) % 1.25/1.46 (define @t556 () (|tptp.'fun_app$h'| @t185 @t555)) % 1.25/1.46 (define @t557 () (|tptp.'fun_app$h'| @t185 @t376)) % 1.25/1.46 (define @t558 () (@var "A__questionmark_v2" |tptp.'Nat_int_fun$'|)) % 1.25/1.46 (define @t559 () (@var "A__questionmark_v5" |tptp.'Nat$'|)) % 1.25/1.46 (define @t560 () (|tptp.'fun_app$h'| (|tptp.'member$c'| @t559) @t376)) % 1.25/1.46 (define @t561 () (@list @t559)) % 1.25/1.46 (define @t562 () (|tptp.'fun_app$h'| |tptp.'finite$d'| @t376)) % 1.25/1.46 (define @t563 () (@list @t97 @t376)) % 1.25/1.46 (define @t564 () (@var "A__questionmark_v2" |tptp.'A_n_vec_real_fun$'|)) % 1.25/1.46 (define @t565 () (@var "A__questionmark_v2" |tptp.'Nat_real_fun$'|)) % 1.25/1.46 (define @t566 () (@var "A__questionmark_v2" |tptp.'A_n_vec_set_bool_fun$'|)) % 1.25/1.46 (define @t567 () (|tptp.'fun_app$d'| @t566 @t8)) % 1.25/1.46 (define @t568 () (|tptp.'fun_app$d'| @t566 @t546)) % 1.25/1.46 (define @t569 () (|tptp.'fun_app$d'| @t566 @t545)) % 1.25/1.46 (define @t570 () (not (|tptp.'fun_app$d'| @t262 @t545))) % 1.25/1.46 (define @t571 () (|tptp.'fun_app$d'| @t262 @t289)) % 1.25/1.46 (define @t572 () (|tptp.'fun_app$d'| @t566 |tptp.'bot$a'|)) % 1.25/1.46 (define @t573 () (@list @t8 @t289 @t566)) % 1.25/1.46 (define @t574 () (@var "A__questionmark_v2" |tptp.'Nat_set_bool_fun$'|)) % 1.25/1.46 (define @t575 () (|tptp.'fun_app$h'| @t574 @t18)) % 1.25/1.46 (define @t576 () (|tptp.'fun_app$h'| @t574 @t555)) % 1.25/1.46 (define @t577 () (|tptp.'fun_app$h'| @t574 @t376)) % 1.25/1.46 (define @t578 () (not (|tptp.'fun_app$h'| @t220 @t376))) % 1.25/1.46 (define @t579 () (|tptp.'fun_app$h'| @t574 |tptp.'bot$d'|)) % 1.25/1.46 (define @t580 () (@list @t18 @t217 @t574)) % 1.25/1.46 (define @t581 () (and @t183 @t278 @t10)) % 1.25/1.46 (define @t582 () (and @t192 @t280 @t20)) % 1.25/1.46 (define @t583 () (|tptp.'dim$b'| |tptp.'times$'|)) % 1.25/1.46 (define @t584 () (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'fun_app$ac'| @t583 (|tptp.'insert$d'| @t144 |tptp.'bot$b'|)))) % 1.25/1.46 (define @t585 () (not @t196)) % 1.25/1.46 (define @t586 () (|tptp.'less_eq$d'| @t13)) % 1.25/1.46 (define @t587 () (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'fun_app$ac'| @t583 @t13))) % 1.25/1.46 (define @t588 () (|tptp.'less_eq$b'| @t187)) % 1.25/1.46 (define @t589 () (|tptp.'times$a'| @t100)) % 1.25/1.46 (define @t590 () (|tptp.'fun_app$w'| @t589 @t89)) % 1.25/1.46 (define @t591 () (|tptp.'times$a'| @t72)) % 1.25/1.46 (define @t592 () (|tptp.'fun_app$w'| @t591 @t89)) % 1.25/1.46 (define @t593 () (@list @t71 @t19 @t99)) % 1.25/1.46 (define @t594 () (|tptp.'fun_app$w'| @t591 @t100)) % 1.25/1.46 (define @t595 () (and @t415 (= @t89 1))) % 1.25/1.46 (define @t596 () (|tptp.'times$b'| @t71)) % 1.25/1.46 (define @t597 () (= @t1 0)) % 1.25/1.46 (define @t598 () (|tptp.'times$a'| @t2)) % 1.25/1.46 (define @t599 () (|tptp.'fun_app$w'| @t598 @t1)) % 1.25/1.46 (define @t600 () (|tptp.'fun_app$r'| @t596 @t19)) % 1.25/1.46 (define @t601 () (= @t14 0/1)) % 1.25/1.46 (define @t602 () (|tptp.'fun_app$ad'| |tptp.'times$'| @t144)) % 1.25/1.46 (define @t603 () (|tptp.'fun_app$aa'| @t602 @t14)) % 1.25/1.46 (define @t604 () (|tptp.'fun_app$w'| @t598 @t249)) % 1.25/1.46 (define @t605 () (|tptp.'fun_app$r'| @t596 @t99)) % 1.25/1.46 (define @t606 () (|tptp.'fun_app$aa'| @t602 @t142)) % 1.25/1.46 (define @t607 () (= @t603 @t606)) % 1.25/1.46 (define @t608 () (= @t144 @t142)) % 1.25/1.46 (define @t609 () (|tptp.'fun_app$ad'| |tptp.'times$'| @t142)) % 1.25/1.46 (define @t610 () (= @t603 (|tptp.'fun_app$aa'| @t609 @t14))) % 1.25/1.46 (define @t611 () (|tptp.'times$b'| @t203)) % 1.25/1.46 (define @t612 () (|tptp.'nat$'| @t592)) % 1.25/1.46 (define @t613 () (|tptp.'fun_app$ad'| |tptp.'times$'| @t204)) % 1.25/1.46 (define @t614 () (or @t194 (= @t1 1))) % 1.25/1.46 (define @t615 () (|tptp.'times$a'| @t1)) % 1.25/1.46 (define @t616 () (|tptp.'fun_app$w'| @t615 @t2)) % 1.25/1.46 (define @t617 () (or @t196 (= @t14 1/1))) % 1.25/1.46 (define @t618 () (|tptp.'fun_app$ad'| |tptp.'times$'| @t14)) % 1.25/1.46 (define @t619 () (|tptp.'fun_app$aa'| @t618 @t144)) % 1.25/1.46 (define @t620 () (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'card$'| @t8))) % 1.25/1.46 (define @t621 () (= @t620 0)) % 1.25/1.46 (define @t622 () (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'card$a'| @t18))) % 1.25/1.46 (define @t623 () (= @t622 0)) % 1.25/1.46 (define @t624 () (<= @t72 @t100)) % 1.25/1.46 (define @t625 () (<= @t89 @t100)) % 1.25/1.46 (define @t626 () (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'card$'| @t289))) % 1.25/1.46 (define @t627 () (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'card$a'| @t217))) % 1.25/1.46 (define @t628 () (@var "A__questionmark_v1" |tptp.'Real_set$'|)) % 1.25/1.46 (define @t629 () (|tptp.'fun_app$w'| @t591 @t72)) % 1.25/1.46 (define @t630 () (<= @t89 @t72)) % 1.25/1.46 (define @t631 () (|tptp.'times$a'| @t89)) % 1.25/1.46 (define @t632 () (|tptp.'fun_app$j'| |tptp.'of_nat$'| @t273)) % 1.25/1.46 (define @t633 () (@var "A__questionmark_v0" |tptp.'Nat_nat_fun$'|)) % 1.25/1.46 (define @t634 () (and @t428 @t93)) % 1.25/1.46 (define @t635 () (or @t91 @t92)) % 1.25/1.46 (define @t636 () (|tptp.'times$b'| @t19)) % 1.25/1.46 (define @t637 () (|tptp.'fun_app$w'| @t598 (|tptp.'fun_app$w'| @t615 @t249))) % 1.25/1.46 (define @t638 () (|tptp.'fun_app$r'| @t596 (|tptp.'fun_app$r'| @t636 @t99))) % 1.25/1.46 (define @t639 () (|tptp.'fun_app$aa'| @t602 (|tptp.'fun_app$aa'| @t618 @t142))) % 1.25/1.46 (define @t640 () (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'nat$'| @t2))) % 1.25/1.46 (define @t641 () (<= 0 @t2)) % 1.25/1.46 (define @t642 () (@var "B" tptp.tlbool)) % 1.25/1.46 (define @t643 () (>= @t48 1)) % 1.25/1.46 (define @t644 () (or @t45 @t643)) % 1.25/1.46 (define @t645 () (+ @t48 1)) % 1.25/1.46 (define @t646 () (>= 0 @t48)) % 1.25/1.46 (define @t647 () (|tptp.'vec$'| @t229)) % 1.25/1.46 (define @t648 () (|tptp.'solution_set$'| |tptp.'a$'| @t647)) % 1.25/1.46 (define @t649 () (|tptp.'fun_app$d'| |tptp.'finite$'| @t648)) % 1.25/1.46 (define @t650 () (>= (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'fun_app$k'| @t28 @t648)) 1)) % 1.25/1.46 (define @t651 () (not @t650)) % 1.25/1.46 (define @t652 () (not @t649)) % 1.25/1.46 (define @t653 () (>= @t30 1)) % 1.25/1.46 (define @t654 () (= @t32 @t653)) % 1.25/1.46 (define @t655 () (+ @t30 1)) % 1.25/1.46 (define @t656 () (>= 0 @t30)) % 1.25/1.46 (define @t657 () (not @t643)) % 1.25/1.46 (define @t658 () (or @t657 @t46)) % 1.25/1.46 (define @t659 () (@list |tptp.'a$'|)) % 1.25/1.46 (define @t660 () (or @t651 @t652)) % 1.25/1.46 (define @t661 () (or @t649 @t650)) % 1.25/1.46 (define @t662 () (not @t661)) % 1.25/1.46 (define @t663 () (|tptp.'solution_set$'| @t38 @t647)) % 1.25/1.46 (define @t664 () (forall @t40 (or (|tptp.'fun_app$d'| |tptp.'finite$'| @t663) (>= (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'fun_app$k'| @t28 @t663)) 1)))) % 1.25/1.46 (assume @p1 (forall @t4 (= (|tptp.'fun_app$'| (|tptp.'fun_app$a'| |tptp.'uue$'| @t2) @t1) @t3))) % 1.25/1.46 (assume @p2 (forall (@list @t5 @t6) (= (|tptp.'fun_app$b'| @t7 @t6) (|tptp.'member$'| @t6 @t5)))) % 1.25/1.46 (assume @p3 (forall @t12 (= (|tptp.'fun_app$c'| @t11 @t9) @t10))) % 1.25/1.46 (assume @p4 (forall @t17 (= (|tptp.'fun_app$e'| @t16 @t14) @t15))) % 1.25/1.46 (assume @p5 (forall @t22 (= (|tptp.'fun_app$g'| @t21 @t19) @t20))) % 1.25/1.46 (assume @p6 (forall @t26 (= (|tptp.'fun_app$'| @t25 @t1) @t24))) % 1.25/1.46 (assume @p7 @t34) % 1.25/1.46 (assume @p8 (forall @t37 (|tptp.'member$'| |tptp.'zero$'| @t36))) % 1.25/1.46 (assume @p9 (forall @t40 (|tptp.'fun_app$d'| (|tptp.'member$a'| |tptp.'zero$a'|) @t39))) % 1.25/1.46 (assume @p10 (forall @t37 (=> @t44 @t41))) % 1.25/1.46 (assume @p11 @t51) % 1.25/1.46 (assume @p12 (forall @t37 (=> @t41 @t44))) % 1.25/1.46 (assume @p13 @t53) % 1.25/1.46 (assume @p14 (forall (@list @t55 @t6) (= (= @t58 |tptp.'zero$'|) (or @t56 @t54)))) % 1.25/1.46 (assume @p15 (forall (@list @t55 @t9) (= (= @t61 |tptp.'zero$a'|) (or @t56 @t59)))) % 1.25/1.46 (assume @p16 (forall @t63 (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'vector_scalar_mult$a'| |tptp.'zero$b'|) @t62) |tptp.'zero$'|))) % 1.25/1.46 (assume @p17 (forall @t65 (= (|tptp.'fun_app$o'| (|tptp.'fun_app$p'| |tptp.'vector_scalar_mult$'| |tptp.'zero$b'|) @t64) |tptp.'zero$a'|))) % 1.25/1.46 (assume @p18 (forall @t66 (= (|tptp.'fun_app$m'| @t57 |tptp.'zero$'|) |tptp.'zero$'|))) % 1.25/1.46 (assume @p19 (forall @t66 (= (|tptp.'fun_app$o'| @t60 |tptp.'zero$a'|) |tptp.'zero$a'|))) % 1.25/1.46 (assume @p20 (forall (@list @t55 @t6 @t67) (= (= @t58 (|tptp.'fun_app$m'| @t69 @t6)) (or @t68 @t54)))) % 1.25/1.46 (assume @p21 (forall (@list @t55 @t9 @t67) (= (= @t61 (|tptp.'fun_app$o'| @t70 @t9)) (or @t68 @t59)))) % 1.25/1.46 (assume @p22 (forall @t76 (= @t75 @t73))) % 1.25/1.46 (assume @p23 (forall @t76 (= @t77 false))) % 1.25/1.46 (assume @p24 (forall @t82 (= @t81 (or @t79 @t56)))) % 1.25/1.46 (assume @p25 (forall @t87 (= @t86 (or @t84 @t56)))) % 1.25/1.46 (assume @p26 (forall @t82 (= @t81 (or @t56 @t79)))) % 1.25/1.46 (assume @p27 (forall @t87 (= @t86 (or @t56 @t84)))) % 1.25/1.46 (assume @p28 (forall @t76 (=> (and @t88 (=> @t75 false)) false))) % 1.25/1.46 (assume @p29 (forall @t94 (=> (and @t93 (=> @t91 false) (=> @t90 false)) false))) % 1.25/1.46 (assume @p30 (forall @t108 (=> (forall @t107 (=> @t106 @t104)) @t96))) % 1.25/1.46 (assume @p31 (forall @t108 (=> (forall @t107 (=> (forall @t103 (=> @t102 @t98)) @t105)) @t96))) % 1.25/1.46 (assume @p32 (forall @t76 (=> @t109 false))) % 1.25/1.46 (assume @p33 (forall @t94 (=> @t91 @t93))) % 1.25/1.46 (assume @p34 (forall @t94 (=> @t91 (not (= @t89 @t72))))) % 1.25/1.46 (assume @p35 (forall @t76 (not @t109))) % 1.25/1.46 (assume @p36 (forall @t94 (= @t93 (or @t91 @t90)))) % 1.25/1.46 (assume @p37 (forall (@list @t55 @t110 @t78) (= (|tptp.'fun_app$m'| @t57 (|tptp.'fun_app$m'| @t111 @t78)) (|tptp.'fun_app$m'| @t111 @t80)))) % 1.25/1.46 (assume @p38 (forall @t114 (= @t113 (|tptp.'fun_app$o'| @t112 @t85)))) % 1.25/1.46 (assume @p39 (forall @t82 (=> (and @t115 @t81) @t79))) % 1.25/1.46 (assume @p40 (forall @t87 (=> (and @t115 @t86) @t84))) % 1.25/1.46 (assume @p41 (forall @t108 (=> (and (|tptp.'fun_app$g'| @t95 @t117) (forall @t107 (=> (and @t116 @t106) @t104))) @t96))) % 1.25/1.46 (assume @p42 (forall @t94 (=> @t91 (not @t118)))) % 1.25/1.46 (assume @p43 (forall @t76 (=> @t77 false))) % 1.25/1.46 (assume @p44 (forall @t76 (not @t77))) % 1.25/1.46 (assume @p45 (forall @t76 (= (not @t73) @t74))) % 1.25/1.46 (assume @p46 (forall @t76 (=> @t88 @t73))) % 1.25/1.46 (assume @p47 (forall (@list @t62 @t110 @t67) (=> (and @t121 (= (|tptp.'fun_app$m'| @t111 @t62) (|tptp.'fun_app$m'| @t69 @t62))) @t119))) % 1.25/1.46 (assume @p48 (forall (@list @t64 @t110 @t67) (=> (and @t123 (= (|tptp.'fun_app$o'| @t112 @t64) (|tptp.'fun_app$o'| @t70 @t64))) @t119))) % 1.25/1.46 (assume @p49 (forall @t76 (= (not @t126) @t124))) % 1.25/1.46 (assume @p50 (forall @t132 (=> @t131 @t127))) % 1.25/1.46 (assume @p51 (forall @t139 (=> @t138 @t133))) % 1.25/1.46 (assume @p52 (forall @t37 (= @t43 (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'fun_app$l'| @t42 @t140))))) % 1.25/1.46 (assume @p53 (forall @t40 (= @t48 (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'fun_app$k'| @t28 @t141))))) % 1.25/1.46 (assume @p54 (forall @t147 (=> (and (< 0/1 @t144) (< 0/1 @t14)) (exists @t146 (and (< 0/1 @t142) @t145 @t143))))) % 1.25/1.46 (assume @p55 (forall (@list @t64 @t148) (= (|tptp.'fun_app$d'| @t149 (|tptp.'collect$'| @t148)) (|tptp.'fun_app$c'| @t148 @t64)))) % 1.25/1.46 (assume @p56 (forall (@list @t62 @t150) (= (|tptp.'member$'| @t62 (|tptp.'collect$a'| @t150)) (|tptp.'fun_app$b'| @t150 @t62)))) % 1.25/1.46 (assume @p57 (forall (@list @t2 @t151) (= (|tptp.'fun_app$i'| @t152 (|tptp.'collect$b'| @t151)) (|tptp.'fun_app$'| @t151 @t2)))) % 1.25/1.46 (assume @p58 (forall (@list @t144 @t153) (= (|tptp.'fun_app$f'| @t154 (|tptp.'collect$c'| @t153)) (|tptp.'fun_app$e'| @t153 @t144)))) % 1.25/1.46 (assume @p59 (forall (@list @t71 @t155) (= (|tptp.'fun_app$h'| @t157 @t156) (|tptp.'fun_app$g'| @t155 @t71)))) % 1.25/1.46 (assume @p60 (forall @t158 (= (|tptp.'collect$'| @t11) @t8))) % 1.25/1.46 (assume @p61 (forall @t159 (= (|tptp.'collect$a'| @t7) @t5))) % 1.25/1.46 (assume @p62 (forall @t160 (= (|tptp.'collect$b'| @t25) @t23))) % 1.25/1.46 (assume @p63 (forall @t161 (= (|tptp.'collect$c'| @t16) @t13))) % 1.25/1.46 (assume @p64 (forall @t162 (= (|tptp.'collect$d'| @t21) @t18))) % 1.25/1.46 (assume @p65 (forall (@list @t95 @t155) (=> (forall @t107 (= @t105 (|tptp.'fun_app$g'| @t155 @t99))) (= (|tptp.'collect$d'| @t95) @t156)))) % 1.25/1.46 (assume @p66 (forall @t76 (= @t126 (not @t124)))) % 1.25/1.46 (assume @p67 (forall @t94 (=> (|tptp.'fun_app$g'| @t164 @t19) (not @t163)))) % 1.25/1.46 (assume @p68 (forall @t76 (not (|tptp.'fun_app$g'| @t164 |tptp.'zero$c'|)))) % 1.25/1.46 (assume @p69 (forall @t76 (=> (=> @t124 false) @t126))) % 1.25/1.46 (assume @p70 (forall @t171 (=> (and @t170 (forall (@list @t167) (=> (and (|tptp.'fun_app$i'| |tptp.'finite$b'| @t167) (forall (@list @t168) (=> (|tptp.'fun_app$i'| (|tptp.'less$a'| @t168) @t167) @t169))) (|tptp.'fun_app$i'| @t165 @t167)))) @t166))) % 1.25/1.46 (assume @p71 (forall (@list @t13 @t172) (=> (and @t175 (forall (@list @t173) (=> (and (|tptp.'fun_app$f'| |tptp.'finite$c'| @t173) (forall (@list @t174) (=> (|tptp.'fun_app$f'| (|tptp.'less$b'| @t174) @t173) (|tptp.'fun_app$f'| @t172 @t174)))) (|tptp.'fun_app$f'| @t172 @t173)))) (|tptp.'fun_app$f'| @t172 @t13)))) % 1.25/1.46 (assume @p72 (forall @t184 (=> (and @t183 (forall @t182 (=> (and @t181 (forall (@list @t179) (=> (|tptp.'fun_app$d'| (|tptp.'less$c'| @t179) @t178) @t180))) (|tptp.'fun_app$d'| @t176 @t178)))) @t177))) % 1.25/1.46 (assume @p73 (forall @t193 (=> (and @t192 (forall @t191 (=> (and @t190 (forall (@list @t188) (=> (|tptp.'fun_app$h'| (|tptp.'less$d'| @t188) @t187) @t189))) (|tptp.'fun_app$h'| @t185 @t187)))) @t186))) % 1.25/1.46 (assume @p74 (forall @t159 (= (= |tptp.'zero$d'| @t5) (= @t5 |tptp.'zero$d'|)))) % 1.25/1.46 (assume @p75 (forall @t161 (= (= |tptp.'zero$e'| @t13) (= @t13 |tptp.'zero$e'|)))) % 1.25/1.46 (assume @p76 (forall @t160 (= (= |tptp.'zero$f'| @t23) (= @t23 |tptp.'zero$f'|)))) % 1.25/1.46 (assume @p77 (forall @t76 (= (= |tptp.'zero$c'| @t71) @t124))) % 1.25/1.46 (assume @p78 (forall @t66 (= (= |tptp.'zero$b'| @t55) @t56))) % 1.25/1.46 (assume @p79 (forall @t63 (= (= |tptp.'zero$'| @t62) @t120))) % 1.25/1.46 (assume @p80 (forall @t195 (= (= 0 @t2) @t194))) % 1.25/1.46 (assume @p81 (forall @t197 (= (= 0/1 @t144) @t196))) % 1.25/1.46 (assume @p82 (forall @t37 (= @t140 @t36))) % 1.25/1.46 (assume @p83 (forall @t40 (= @t141 @t39))) % 1.25/1.46 (assume @p84 (forall @t132 (= @t131 (and @t198 @t127)))) % 1.25/1.46 (assume @p85 (forall @t139 (= @t138 (and @t200 @t133)))) % 1.25/1.46 (assume @p86 (forall @t132 (=> (and @t127 @t198) @t131))) % 1.25/1.46 (assume @p87 (forall @t139 (=> @t201 @t138))) % 1.25/1.46 (assume @p88 (not (|tptp.'fun_app$g'| @t125 |tptp.'zero$c'|))) % 1.25/1.46 (assume @p89 (not (< 0/1 0/1))) % 1.25/1.46 (assume @p90 (not @t202)) % 1.25/1.46 (assume @p91 (forall @t76 (= (|tptp.'fun_app$g'| @t125 @t203) @t73))) % 1.25/1.46 (assume @p92 (forall @t76 (= @t73 @t73))) % 1.25/1.46 (assume @p93 (forall @t76 (= (< 0/1 @t204) @t73))) % 1.25/1.46 (assume @p94 (= (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'fun_app$l'| @t42 |tptp.'bot$'|)) 0)) % 1.25/1.46 (assume @p95 (= (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'fun_app$k'| @t28 |tptp.'bot$a'|)) 0)) % 1.25/1.46 (assume @p96 (forall (@list @t206 @t110) (= (= @t207 |tptp.'zero$'|) @t205))) % 1.25/1.46 (assume @p97 (forall (@list @t208) (= @t209 @t209))) % 1.25/1.46 (assume @p98 (forall (@list @t210) (= @t211 @t211))) % 1.25/1.46 (assume @p99 (forall (@list @t212) (= @t213 @t213))) % 1.25/1.46 (assume @p100 (= @t214 |tptp.'zero$'|)) % 1.25/1.46 (assume @p101 (forall @t139 (= @t216 (not @t215)))) % 1.25/1.46 (assume @p102 (forall @t223 (=> (forall @t107 (=> @t222 (exists @t103 (and (< @t100 @t101) @t221)))) @t219))) % 1.25/1.46 (assume @p103 (forall @t94 (= (= @t224 (|tptp.'of_nat$c'| @t19)) @t92))) % 1.25/1.46 (assume @p104 (forall @t94 (= (= @t203 @t225) @t92))) % 1.25/1.46 (assume @p105 (forall @t94 (= @t92 @t92))) % 1.25/1.46 (assume @p106 (forall @t94 (= (= @t204 @t226) @t92))) % 1.25/1.46 (assume @p107 (forall (@list @t55 @t110) (= (= (|tptp.'vec$'| @t55) (|tptp.'vec$'| @t110)) (= @t55 @t110)))) % 1.25/1.46 (assume @p108 (forall @t76 (= (= @t227 |tptp.'zero$b'|) @t74))) % 1.25/1.46 (assume @p109 (forall @t76 (= (= @t203 |tptp.'zero$c'|) @t74))) % 1.25/1.46 (assume @p110 (forall @t76 (= (= @t224 |tptp.'zero$'|) @t74))) % 1.25/1.46 (assume @p111 (forall @t76 (= @t74 @t74))) % 1.25/1.46 (assume @p112 (forall @t76 (= (= @t204 0/1) @t74))) % 1.25/1.46 (assume @p113 (forall @t76 (= (= |tptp.'zero$b'| @t227) @t228))) % 1.25/1.46 (assume @p114 (forall @t76 (= (= |tptp.'zero$c'| @t203) @t228))) % 1.25/1.46 (assume @p115 (forall @t76 (= (= |tptp.'zero$'| @t224) @t228))) % 1.25/1.46 (assume @p116 (forall @t76 (= @t228 @t228))) % 1.25/1.46 (assume @p117 (forall @t76 (= (= 0/1 @t204) @t228))) % 1.25/1.46 (assume @p118 (= @t229 |tptp.'zero$b'|)) % 1.25/1.46 (assume @p119 (= (|tptp.'fun_app$r'| |tptp.'of_nat$a'| @t117) |tptp.'zero$c'|)) % 1.25/1.46 (assume @p120 (= (|tptp.'of_nat$c'| @t117) |tptp.'zero$'|)) % 1.25/1.46 (assume @p121 (= (|tptp.'fun_app$j'| |tptp.'of_nat$'| @t117) 0)) % 1.25/1.46 (assume @p122 (= (|tptp.'fun_app$s'| |tptp.'of_nat$b'| @t117) 0/1)) % 1.25/1.46 (assume @p123 (forall @t94 (= @t231 @t91))) % 1.25/1.46 (assume @p124 (forall @t94 (= @t91 @t91))) % 1.25/1.46 (assume @p125 (forall @t94 (= @t232 @t91))) % 1.25/1.46 (assume @p126 (forall @t139 (= @t216 (not @t200)))) % 1.25/1.46 (assume @p127 (forall (@list @t5 @t234) (=> (and (|tptp.'finite$a'| @t5) (forall @t130 (not (|tptp.'fun_app$b'| @t235 @t78))) (forall (@list @t78 @t128 @t237) (=> (and @t236 (|tptp.'fun_app$b'| (|tptp.'fun_app$t'| @t234 @t128) @t237)) (|tptp.'fun_app$b'| @t235 @t237))) (forall @t130 (=> (|tptp.'member$'| @t78 @t5) (exists @t129 (and (|tptp.'member$'| @t128 @t5) @t236))))) @t233))) % 1.25/1.46 (assume @p128 (forall (@list @t13 @t240) (=> (and @t175 (forall @t146 (not (|tptp.'fun_app$e'| @t241 @t142))) (forall (@list @t142 @t239 @t246) (=> (and @t242 (|tptp.'fun_app$e'| (|tptp.'fun_app$u'| @t240 @t239) @t246)) (|tptp.'fun_app$e'| @t241 @t246))) (forall @t146 (=> @t245 (exists @t244 (and @t243 @t242))))) @t238))) % 1.25/1.46 (assume @p129 (forall (@list @t23 @t250) (=> (and @t170 (forall @t256 (not (|tptp.'fun_app$'| @t251 @t249))) (forall (@list @t249 @t248 @t257) (=> (and @t252 (|tptp.'fun_app$'| (|tptp.'fun_app$a'| @t250 @t248) @t257)) (|tptp.'fun_app$'| @t251 @t257))) (forall @t256 (=> @t255 (exists @t254 (and @t253 @t252))))) @t247))) % 1.25/1.46 (assume @p130 (forall (@list @t8 @t259) (=> (and @t183 (forall @t137 (not (|tptp.'fun_app$c'| @t260 @t83))) (forall (@list @t83 @t134 @t265) (=> (and @t261 (|tptp.'fun_app$c'| (|tptp.'fun_app$v'| @t259 @t134) @t265)) (|tptp.'fun_app$c'| @t260 @t265))) (forall @t137 (=> @t264 (exists @t135 (and (|tptp.'fun_app$d'| @t262 @t8) @t261))))) @t258))) % 1.25/1.46 (assume @p131 (forall (@list @t18 @t267) (=> (and @t192 (forall @t107 (not (|tptp.'fun_app$g'| @t268 @t99))) (forall (@list @t99 @t97 @t273) (=> (and @t269 (|tptp.'fun_app$g'| (|tptp.'fun_app$q'| @t267 @t97) @t273)) (|tptp.'fun_app$g'| @t268 @t273))) (forall @t107 (=> @t272 (exists @t103 (and @t270 @t269))))) @t266))) % 1.25/1.46 (assume @p132 (forall @t161 (=> @t275 @t274))) % 1.25/1.46 (assume @p133 (forall @t160 (=> @t277 @t276))) % 1.25/1.46 (assume @p134 (forall @t158 (=> @t279 @t278))) % 1.25/1.46 (assume @p135 (forall @t162 (=> @t281 @t280))) % 1.25/1.46 (assume @p136 (|tptp.'fun_app$f'| |tptp.'finite$c'| |tptp.'bot$b'|)) % 1.25/1.46 (assume @p137 (|tptp.'fun_app$i'| |tptp.'finite$b'| |tptp.'bot$c'|)) % 1.25/1.46 (assume @p138 (|tptp.'fun_app$d'| |tptp.'finite$'| |tptp.'bot$a'|)) % 1.25/1.46 (assume @p139 (|tptp.'fun_app$h'| |tptp.'finite$d'| |tptp.'bot$d'|)) % 1.25/1.46 (assume @p140 (forall (@list @t206 @t110 @t283 @t282) (= (= @t207 (|tptp.'axis$'| @t283 @t282)) (or (and (= @t110 @t282) (= @t206 @t283)) (and @t205 (= @t282 |tptp.'zero$b'|)))))) % 1.25/1.46 (assume @p141 (forall @t76 (not (|tptp.'fun_app$g'| @t230 |tptp.'zero$c'|)))) % 1.25/1.46 (assume @p142 (forall @t76 (not (< @t204 0/1)))) % 1.25/1.46 (assume @p143 (forall @t94 (=> @t231 @t91))) % 1.25/1.46 (assume @p144 (forall @t94 (=> @t91 @t91))) % 1.25/1.46 (assume @p145 (forall @t94 (=> @t232 @t91))) % 1.25/1.46 (assume @p146 (forall @t94 (=> @t91 @t231))) % 1.25/1.46 (assume @p147 (forall @t94 (=> @t91 @t232))) % 1.25/1.46 (assume @p148 (forall @t40 (|tptp.'fun_app$b'| @t199 |tptp.'zero$'|))) % 1.25/1.46 (assume @p149 (forall @t139 (= @t200 @t215))) % 1.25/1.46 (assume @p150 (forall @t162 (= @t281 (forall @t285 (exists @t107 (and @t284 @t272)))))) % 1.25/1.46 (assume @p151 (forall @t161 (=> @t287 (exists @t286 (and @t15 (not (exists @t146 (and @t245 @t143)))))))) % 1.25/1.46 (assume @p152 (forall (@list @t288) (=> (and (|tptp.'finite$e'| @t288) (not (= @t288 |tptp.'bot$e'|))) (exists (@list @t217) (and (|tptp.'member$e'| @t217 @t288) (not (exists @t191 (and (|tptp.'member$e'| @t187 @t288) (|tptp.'fun_app$h'| (|tptp.'less$d'| @t187) @t217))))))))) % 1.25/1.46 (assume @p153 (forall (@list @t290) (=> (and (|tptp.'finite$f'| @t290) (not (= @t290 |tptp.'bot$f'|))) (exists (@list @t289) (and (|tptp.'member$f'| @t289 @t290) (not (exists @t182 (and (|tptp.'member$f'| @t178 @t290) (|tptp.'fun_app$d'| (|tptp.'less$c'| @t178) @t289))))))))) % 1.25/1.46 (assume @p154 (forall @t162 (=> @t292 (exists @t285 (and @t20 (not (exists @t107 (and @t272 (|tptp.'fun_app$g'| @t291 @t19))))))))) % 1.25/1.46 (assume @p155 (forall @t160 (=> @t295 (exists @t294 (and @t24 (not (exists @t256 (and @t255 @t293)))))))) % 1.25/1.46 (assume @p156 (forall @t161 (=> (and @t274 (forall @t286 (=> @t15 (exists @t146 (and @t245 @t296))))) @t275))) % 1.25/1.46 (assume @p157 (forall @t162 (=> (and @t280 (forall @t285 (=> @t20 (exists @t107 (and @t272 (|tptp.'fun_app$g'| (|tptp.'fun_app$q'| |tptp.'less$'| @t19) @t99)))))) @t281))) % 1.25/1.46 (assume @p158 (forall @t160 (=> (and @t276 (forall @t294 (=> @t24 (exists @t256 (and @t255 @t297))))) @t277))) % 1.25/1.46 (assume @p159 (forall @t63 (= (|tptp.'member$'| @t62 |tptp.'bot$'|) false))) % 1.25/1.46 (assume @p160 (forall @t65 (= (|tptp.'fun_app$d'| @t149 |tptp.'bot$a'|) false))) % 1.25/1.46 (assume @p161 (forall @t197 (= (|tptp.'fun_app$f'| @t154 |tptp.'bot$b'|) false))) % 1.25/1.46 (assume @p162 (forall @t195 (= (|tptp.'fun_app$i'| @t152 |tptp.'bot$c'|) false))) % 1.25/1.46 (assume @p163 (forall @t76 (= @t298 false))) % 1.25/1.46 (assume @p164 (forall @t161 (= (forall @t286 (not @t15)) @t238))) % 1.25/1.46 (assume @p165 (forall @t160 (= (forall @t294 (not @t24)) @t247))) % 1.25/1.46 (assume @p166 (forall @t162 (= (forall @t285 @t299) @t266))) % 1.25/1.46 (assume @p167 (= (|tptp.'fun_app$j'| |tptp.'of_nat$'| |tptp.'bot$g'|) 0)) % 1.25/1.46 (assume @p168 (forall @t195 (exists @t294 @t300))) % 1.25/1.46 (assume @p169 (forall @t195 (exists @t294 @t3))) % 1.25/1.46 (assume @p170 (forall @t4 (=> @t3 @t302))) % 1.25/1.46 (assume @p171 (forall @t4 (=> (and @t3 @t300) false))) % 1.25/1.46 (assume @p172 (forall @t304 (=> (and @t301 @t297) @t303))) % 1.25/1.46 (assume @p173 (forall @t304 (=> (and @t3 @t305) @t303))) % 1.25/1.46 (assume @p174 (forall @t4 (=> @t308 (= @t307 @t306)))) % 1.25/1.46 (assume @p175 (forall @t4 (=> (and @t310 (=> @t301 false) @t309) false))) % 1.25/1.46 (assume @p176 (forall @t195 (not @t311))) % 1.25/1.46 (assume @p177 (forall @t318 (=> (and (forall @t316 (=> (< @t248 @t257) @t315)) (forall @t254 (|tptp.'fun_app$'| @t314 @t248)) @t317) @t313))) % 1.25/1.46 (assume @p178 (forall @t304 (=> (and @t3 @t297) @t303))) % 1.25/1.46 (assume @p179 (forall @t4 (= @t308 (or @t300 @t301)))) % 1.25/1.46 (assume @p180 (forall @t304 (=> (and @t3 @t319) @t293))) % 1.25/1.46 (assume @p181 (forall @t4 (=> @t3 @t320))) % 1.25/1.46 (assume @p182 (forall @t4 (=> (and @t302 @t310 @t309) false))) % 1.25/1.46 (assume @p183 (forall @t4 (= @t302 (or @t3 @t300)))) % 1.25/1.46 (assume @p184 (forall @t333 (=> (and @t332 @t330 @t329) @t323))) % 1.25/1.46 (assume @p185 (forall @t342 (=> (and @t3 @t341 @t339) @t336))) % 1.25/1.46 (assume @p186 (forall @t333 (=> (and @t343 @t330 @t329) @t323))) % 1.25/1.46 (assume @p187 (forall @t342 (=> (and @t3 @t344 @t339) @t336))) % 1.25/1.46 (assume @p188 (forall @t4 (=> @t3 @t307))) % 1.25/1.46 (assume @p189 (forall (@list @t2 @t1 @t345) (=> @t3 (= (=> @t300 (= @t345 tptp.tltrue)) true)))) % 1.25/1.46 (assume @p190 (forall @t4 (or @t3 @t301 @t300))) % 1.25/1.46 (assume @p191 (forall @t4 (=> @t3 (= @t301 false)))) % 1.25/1.46 (assume @p192 (forall @t4 (=> @t3 (= @t306 false)))) % 1.25/1.46 (assume @p193 (forall @t4 (=> @t3 (= @t307 true)))) % 1.25/1.46 (assume @p194 (forall @t162 (= (exists @t285 @t20) @t280))) % 1.25/1.46 (assume @p195 (forall @t162 (=> (forall @t285 (=> @t20 false)) @t266))) % 1.25/1.46 (assume @p196 (forall @t22 (=> @t266 @t299))) % 1.25/1.46 (assume @p197 (forall @t76 (=> @t298 false))) % 1.25/1.46 (assume @p198 (forall @t347 (=> (and (|tptp.'fun_app$h'| (|tptp.'less$d'| @t18) @t217) @t272) @t346))) % 1.25/1.46 (assume @p199 (forall @t76 (= (not @t348) (|tptp.'fun_app$g'| (|tptp.'fun_app$q'| |tptp.'less$'| |tptp.'bot$g'|) @t71)))) % 1.25/1.46 (assume @p200 (forall @t76 (not (|tptp.'fun_app$g'| @t164 |tptp.'bot$g'|)))) % 1.25/1.46 (assume @p201 (forall (@list @t8 @t349) (=> (and @t183 @t278) (not (exists @t137 (and @t264 (< (|tptp.'fun_app$x'| @t349 @t83) (|tptp.'fun_app$x'| @t349 (|tptp.'arg_min_on$'| @t349 @t8))))))))) % 1.25/1.46 (assume @p202 (forall (@list @t18 @t350) (=> @t292 (not (exists @t107 (and @t272 (< (|tptp.'fun_app$j'| @t350 @t99) (|tptp.'fun_app$j'| @t350 (|tptp.'arg_min_on$a'| @t350 @t18))))))))) % 1.25/1.46 (assume @p203 (forall @t195 (=> (and @t353 (forall @t285 (=> (and @t352 @t351) false))) false))) % 1.25/1.46 (assume @p204 (forall @t195 (=> @t353 (exists @t285 (and @t351 @t352))))) % 1.25/1.46 (assume @p205 (forall @t197 (exists @t285 (< @t144 @t226)))) % 1.25/1.46 (assume @p206 (forall @t37 (= @t127 (= @t36 @t354)))) % 1.25/1.46 (assume @p207 (forall @t40 (= @t133 (= @t39 @t355)))) % 1.25/1.46 (assume @p208 (forall @t360 (=> @t281 @t359))) % 1.25/1.46 (assume @p209 (forall @t364 (= @t363 (or @t362 @t361)))) % 1.25/1.46 (assume @p210 (forall @t370 (=> (=> @t369 @t367) @t366))) % 1.25/1.46 (assume @p211 (forall @t76 (|tptp.'fun_app$h'| @t157 (|tptp.'insert$b'| @t71 |tptp.'bot$d'|)))) % 1.25/1.46 (assume @p212 (forall (@list @t64 @t289) (= (|tptp.'fun_app$d'| |tptp.'finite$'| (|tptp.'insert$a'| @t64 @t289)) @t371))) % 1.25/1.46 (assume @p213 (forall @t223 (= (|tptp.'fun_app$h'| |tptp.'finite$d'| @t372) @t218))) % 1.25/1.46 (assume @p214 (forall @t223 (=> @t368 (exists @t191 @t375)))) % 1.25/1.46 (assume @p215 (forall (@list @t71 @t217 @t99 @t188) (=> (and @t369 @t378) (= (= @t372 @t377) (and (=> @t367 (= @t217 @t188)) (=> (not @t367) (exists (@list @t376) (and (= @t217 (|tptp.'insert$b'| @t99 @t376)) (not (|tptp.'fun_app$h'| @t271 @t376)) (= @t188 (|tptp.'insert$b'| @t71 @t376)) (not (|tptp.'fun_app$h'| @t157 @t376)))))))))) % 1.25/1.46 (assume @p216 (forall @t223 (=> @t368 (= @t372 @t217)))) % 1.25/1.46 (assume @p217 (forall @t379 (=> (and @t369 @t373) (= (= @t372 @t374) (= @t217 @t187))))) % 1.25/1.46 (assume @p218 (forall @t223 (=> (and @t368 (forall @t191 (=> @t375 false))) false))) % 1.25/1.46 (assume @p219 (forall @t370 (=> @t368 @t366))) % 1.25/1.46 (assume @p220 (forall @t223 (|tptp.'fun_app$h'| @t157 @t372))) % 1.25/1.46 (assume @p221 (forall @t364 (=> (and @t363 (=> @t362 false) (=> @t361 false)) false))) % 1.25/1.46 (assume @p222 (= @t202 false)) % 1.25/1.46 (assume @p223 (forall @t94 (= @t380 @t362))) % 1.25/1.46 (assume @p224 (forall @t94 (=> @t380 @t362))) % 1.25/1.46 (assume @p225 (forall @t12 (=> @t183 (|tptp.'fun_app$d'| |tptp.'finite$'| (|tptp.'insert$a'| @t9 @t8))))) % 1.25/1.46 (assume @p226 (forall @t22 (=> @t192 (|tptp.'fun_app$h'| |tptp.'finite$d'| (|tptp.'insert$b'| @t19 @t18))))) % 1.25/1.46 (assume @p227 (forall @t22 (=> @t281 (|tptp.'fun_app$h'| (|tptp.'member$c'| @t358) @t18)))) % 1.25/1.46 (assume @p228 (forall @t22 (=> (and @t281 @t20) (exists @t107 (= (|tptp.'fun_app$j'| |tptp.'of_nat$'| @t357) @t89))))) % 1.25/1.46 (assume @p229 (forall @t158 (=> (and @t183 (=> @t258 false) (forall @t382 (=> @t381 false))) false))) % 1.25/1.46 (assume @p230 (forall @t162 (=> (and @t192 (=> @t266 false) (forall @t384 (=> @t383 false))) false))) % 1.25/1.46 (assume @p231 (forall @t158 (= @t183 (or @t258 (exists @t382 @t381))))) % 1.25/1.46 (assume @p232 (forall @t162 (= @t192 (or @t266 (exists @t384 @t383))))) % 1.25/1.46 (assume @p233 (forall @t184 (=> (and @t183 @t390 (forall @t389 (=> (and @t388 @t387 @t180) @t386))) @t177))) % 1.25/1.46 (assume @p234 (forall @t193 (=> (and @t192 @t394 (forall @t393 (=> (and @t392 @t378 @t189) @t391))) @t186))) % 1.25/1.46 (assume @p235 (forall @t184 (=> (and @t183 @t278 (forall @t137 (|tptp.'fun_app$d'| @t176 (|tptp.'insert$a'| @t83 |tptp.'bot$a'|))) (forall @t389 (=> (and @t388 (not (= @t179 |tptp.'bot$a'|)) @t387 @t180) @t386))) @t177))) % 1.25/1.46 (assume @p236 (forall @t193 (=> (and @t192 @t280 (forall @t107 (|tptp.'fun_app$h'| @t185 (|tptp.'insert$b'| @t99 |tptp.'bot$d'|))) (forall @t393 (=> (and @t392 (not (= @t188 |tptp.'bot$d'|)) @t378 @t189) @t391))) @t186))) % 1.25/1.46 (assume @p237 (forall (@list @t395 @t289) (=> (and (forall @t182 (=> (not @t181) (|tptp.'fun_app$d'| @t395 @t178))) (|tptp.'fun_app$d'| @t395 |tptp.'bot$a'|) (forall @t389 (=> (and @t388 @t387 (|tptp.'fun_app$d'| @t395 @t179)) (|tptp.'fun_app$d'| @t395 @t385)))) (|tptp.'fun_app$d'| @t395 @t289)))) % 1.25/1.46 (assume @p238 (forall (@list @t396 @t217) (=> (and (forall @t191 (=> @t397 (|tptp.'fun_app$h'| @t396 @t187))) (|tptp.'fun_app$h'| @t396 |tptp.'bot$d'|) (forall @t393 (=> (and @t392 @t378 (|tptp.'fun_app$h'| @t396 @t188)) (|tptp.'fun_app$h'| @t396 @t377)))) (|tptp.'fun_app$h'| @t396 @t217)))) % 1.25/1.46 (assume @p239 (forall @t193 (=> (and @t192 @t394 (forall @t393 (=> (and @t392 (forall @t399 (=> @t398 (|tptp.'fun_app$g'| @t291 @t273))) @t189) @t391))) @t186))) % 1.25/1.46 (assume @p240 (forall @t171 (=> (and @t170 @t405 (forall @t404 (=> (and @t403 (forall @t402 (=> @t401 (< @t249 @t257))) @t169) @t400))) @t166))) % 1.25/1.46 (assume @p241 (forall @t193 (=> (and @t192 @t394 (forall @t393 (=> (and @t392 (forall @t399 (=> @t398 (|tptp.'fun_app$g'| (|tptp.'fun_app$q'| |tptp.'less$'| @t273) @t99))) @t189) @t391))) @t186))) % 1.25/1.46 (assume @p242 (forall @t171 (=> (and @t170 @t405 (forall @t404 (=> (and @t403 (forall @t402 (=> @t401 (< @t257 @t249))) @t169) @t400))) @t166))) % 1.25/1.46 (assume @p243 (forall @t364 (=> (and @t91 @t397) (|tptp.'fun_app$g'| (|tptp.'fun_app$q'| |tptp.'less$'| (|tptp.'fun_app$r'| @t406 @t71)) (|tptp.'fun_app$r'| @t406 @t19))))) % 1.25/1.46 (assume @p244 (forall @t159 (=> @t408 @t407))) % 1.25/1.46 (assume @p245 (forall @t158 (=> @t410 @t409))) % 1.25/1.46 (assume @p246 (forall @t159 (=> @t407 @t408))) % 1.25/1.46 (assume @p247 (forall @t158 (=> @t409 @t410))) % 1.25/1.46 (assume @p248 (= |tptp.'zero$d'| @t354)) % 1.25/1.46 (assume @p249 (= |tptp.'zero$f'| (|tptp.'insert$c'| 0 |tptp.'bot$c'|))) % 1.25/1.46 (assume @p250 (= |tptp.'zero$e'| @t411)) % 1.25/1.46 (assume @p251 (forall @t63 (and (=> @t120 (= @t412 0)) (=> @t121 (= @t412 1))))) % 1.25/1.46 (assume @p252 (forall @t65 (and (=> @t122 (= @t413 0)) (=> @t123 (= @t413 1))))) % 1.25/1.46 (assume @p253 (forall @t65 (= (|tptp.'fun_app$o'| (|tptp.'fun_app$p'| |tptp.'vector_scalar_mult$'| |tptp.'one$'|) @t64) @t64))) % 1.25/1.46 (assume @p254 (= (|tptp.'fun_app$j'| |tptp.'of_nat$'| @t414) 1)) % 1.25/1.46 (assume @p255 (= (|tptp.'fun_app$s'| |tptp.'of_nat$b'| @t414) 1/1)) % 1.25/1.46 (assume @p256 (forall @t76 (= (= 1 @t72) @t415))) % 1.25/1.46 (assume @p257 (forall @t76 (= (= 1/1 @t204) @t415))) % 1.25/1.46 (assume @p258 (forall @t76 (= @t415 @t415))) % 1.25/1.46 (assume @p259 (forall @t76 (= (= @t204 1/1) @t415))) % 1.25/1.46 (assume @p260 (forall @t76 (= (< @t72 1) @t74))) % 1.25/1.46 (assume @p261 (= |tptp.'one$a'| (|tptp.'insert$c'| 1 |tptp.'bot$c'|))) % 1.25/1.46 (assume @p262 (forall @t195 (= (= 1 @t2) @t416))) % 1.25/1.46 (assume @p263 (not (< 1 1))) % 1.25/1.46 (assume @p264 (< 0/1 1/1)) % 1.25/1.46 (assume @p265 (< 0 1)) % 1.25/1.46 (assume @p266 (forall @t195 (= @t311 false))) % 1.25/1.46 (assume @p267 (not (|tptp.'fun_app$f'| (|tptp.'member$b'| 0/1) (|tptp.'insert$d'| 1/1 |tptp.'bot$b'|)))) % 1.25/1.46 (assume @p268 (forall (@list @t417 @t19 @t99) (and (=> @t418 (and (=> @t418 (= @t89 @t89)) (=> @t419 @t420))) (=> @t419 (and (=> @t418 (= @t100 @t89)) (=> @t419 (= @t100 @t100))))))) % 1.25/1.46 (assume @p269 (forall @t76 (=> @t421 @t421))) % 1.25/1.46 (assume @p270 (forall @t76 (=> (< 1/1 @t204) @t421))) % 1.25/1.46 (assume @p271 (not (< 1/1 0/1))) % 1.25/1.46 (assume @p272 (not (< 1 0))) % 1.25/1.46 (assume @p273 (forall (@list @t71 @t217 @t422) (= (forall @t103 (=> (|tptp.'fun_app$h'| @t220 @t372) @t423)) (and (|tptp.'fun_app$g'| @t422 @t71) (forall @t103 (=> @t221 @t423)))))) % 1.25/1.46 (assume @p274 (not (= |tptp.'zero$'| |tptp.'one$b'|))) % 1.25/1.46 (assume @p275 (not (= 0 1))) % 1.25/1.46 (assume @p276 (not (= 0/1 1/1))) % 1.25/1.46 (assume @p277 (forall @t159 (= @t407 (|tptp.'less_eq$'| @t5 @t354)))) % 1.25/1.46 (assume @p278 (forall @t158 (= @t409 (|tptp.'fun_app$d'| @t424 @t355)))) % 1.25/1.46 (assume @p279 (forall @t76 (= (|tptp.'fun_app$g'| |tptp.'bot$h'| @t71) @t298))) % 1.25/1.46 (assume @p280 (forall @t195 (<= @t2 @t2))) % 1.25/1.46 (assume @p281 (forall @t197 (<= @t144 @t144))) % 1.25/1.46 (assume @p282 (forall @t427 (=> @t426 @t425))) % 1.25/1.46 (assume @p283 (forall @t94 (= @t428 @t428))) % 1.25/1.46 (assume @p284 (forall @t94 (= @t429 @t428))) % 1.25/1.46 (assume @p285 (forall @t379 (= (|tptp.'fun_app$h'| (|tptp.'less_eq$b'| @t372) @t187) (and @t361 @t431)))) % 1.25/1.46 (assume @p286 (forall @t76 (= @t432 @t74))) % 1.25/1.46 (assume @p287 (forall @t76 (= (<= @t204 0/1) @t74))) % 1.25/1.46 (assume @p288 (<= 1 1)) % 1.25/1.46 (assume @p289 (<= 1/1 1/1)) % 1.25/1.46 (assume @p290 (forall @t94 (=> @t428 @t428))) % 1.25/1.46 (assume @p291 (forall @t94 (=> @t428 @t429))) % 1.25/1.46 (assume @p292 (forall @t4 (= @t435 (and @t433 @t320)))) % 1.25/1.46 (assume @p293 (forall @t147 (= @t440 (and @t438 @t437)))) % 1.25/1.46 (assume @p294 (forall @t304 (=> (and (=> @t445 false) (=> (and @t433 @t444) false) (=> (and @t444 @t443) false) (=> (and @t443 @t433) false) (=> (and @t442 @t441) false) (=> (and @t441 @t434) false)) false))) % 1.25/1.46 (assume @p295 (forall @t451 (=> (and (=> @t450 false) (=> (and @t438 @t449) false) (=> (and @t449 @t448) false) (=> (and @t448 @t438) false) (=> (and @t447 @t446) false) (=> (and @t446 @t439) false)) false))) % 1.25/1.46 (assume @p296 (forall @t4 (= @t301 @t452))) % 1.25/1.46 (assume @p297 (forall @t147 (= @t454 @t453))) % 1.25/1.46 (assume @p298 (forall @t304 (=> (and @t301 @t442) @t444))) % 1.25/1.46 (assume @p299 (forall @t451 (=> (and @t454 @t447) @t449))) % 1.25/1.46 (assume @p300 (forall @t304 (=> (and @t434 @t305) @t444))) % 1.25/1.46 (assume @p301 (forall @t451 (=> (and @t439 @t455) @t449))) % 1.25/1.46 (assume @p302 (forall @t4 (=> @t452 @t301))) % 1.25/1.46 (assume @p303 (forall @t147 (=> @t453 @t454))) % 1.25/1.46 (assume @p304 (forall @t304 (=> @t445 @t444))) % 1.25/1.46 (assume @p305 (forall @t451 (=> @t450 @t449))) % 1.25/1.46 (assume @p306 (forall @t318 (=> (and (forall @t316 (=> (<= @t248 @t257) @t315)) @t317) @t313))) % 1.25/1.46 (assume @p307 (forall (@list @t456 @t14 @t142) (=> (and (forall @t458 (=> (<= @t239 @t246) @t457)) (forall @t458 (=> (|tptp.'fun_app$e'| (|tptp.'fun_app$u'| @t456 @t246) @t239) @t457))) (|tptp.'fun_app$e'| (|tptp.'fun_app$u'| @t456 @t14) @t142)))) % 1.25/1.46 (assume @p308 (forall @t4 (= @t301 (and @t433 @t434)))) % 1.25/1.46 (assume @p309 (forall @t147 (= @t454 (and @t438 @t439)))) % 1.25/1.46 (assume @p310 (forall @t4 (=> @t452 @t306))) % 1.25/1.46 (assume @p311 (forall @t147 (=> @t453 @t436))) % 1.25/1.46 (assume @p312 (forall @t304 (=> (and @t434 @t441) @t443))) % 1.25/1.46 (assume @p313 (forall @t451 (=> (and @t439 @t446) @t448))) % 1.25/1.46 (assume @p314 (forall @t347 (=> (and @t425 @t272) @t346))) % 1.25/1.46 (assume @p315 (forall @t427 (= @t425 @t426))) % 1.25/1.46 (assume @p316 (forall @t333 (=> (and @t463 @t462 @t461) @t459))) % 1.25/1.46 (assume @p317 (forall @t473 (=> (and (<= @t2 @t472) @t471 @t470) @t466))) % 1.25/1.46 (assume @p318 (forall @t482 (=> (and @t481 @t462 @t479) @t476))) % 1.25/1.46 (assume @p319 (forall @t488 (=> (and (<= @t144 @t487) @t471 @t486) @t485))) % 1.25/1.46 (assume @p320 (forall @t342 (=> (and @t434 @t491 @t490) @t489))) % 1.25/1.46 (assume @p321 (forall @t500 (=> (and @t434 @t499 @t497) @t494))) % 1.25/1.46 (assume @p322 (forall @t506 (=> (and @t439 (<= @t505 @t248) @t504) @t503))) % 1.25/1.46 (assume @p323 (forall @t512 (=> (and @t439 (<= @t511 @t239) @t510) @t509))) % 1.25/1.46 (assume @p324 (forall @t4 (=> @t301 @t434))) % 1.25/1.46 (assume @p325 (forall @t147 (=> @t454 @t439))) % 1.25/1.46 (assume @p326 (forall @t4 (or @t434 @t433))) % 1.25/1.46 (assume @p327 (forall @t147 (or @t439 @t438))) % 1.25/1.46 (assume @p328 (forall @t333 (=> (and @t332 @t462 @t461) @t459))) % 1.25/1.46 (assume @p329 (forall @t482 (=> (and (= @t144 @t480) @t462 @t479) @t476))) % 1.25/1.46 (assume @p330 (forall @t473 (=> (and (= @t2 @t472) @t471 @t470) @t466))) % 1.25/1.46 (assume @p331 (forall @t488 (=> (and (= @t144 @t487) @t471 @t486) @t485))) % 1.25/1.46 (assume @p332 (forall @t342 (=> (and @t434 @t341 @t490) @t489))) % 1.25/1.46 (assume @p333 (forall @t500 (=> (and @t434 (= @t498 @t239) @t497) @t494))) % 1.25/1.46 (assume @p334 (forall @t506 (=> (and @t439 (= @t505 @t248) @t504) @t503))) % 1.25/1.46 (assume @p335 (forall @t512 (=> (and @t439 (= @t511 @t239) @t510) @t509))) % 1.25/1.46 (assume @p336 (forall @t4 (=> (and (=> @t434 false) (=> @t433 false)) false))) % 1.25/1.46 (assume @p337 (forall @t147 (=> (and (=> @t439 false) (=> @t438 false)) false))) % 1.25/1.46 (assume @p338 (forall @t4 (=> @t434 (= @t433 @t306)))) % 1.25/1.46 (assume @p339 (forall @t147 (=> @t439 (= @t438 @t436)))) % 1.25/1.46 (assume @p340 (forall @t379 (=> @t369 (= (|tptp.'fun_app$h'| @t430 @t374) @t431)))) % 1.25/1.46 (assume @p341 (forall @t197 (exists @t285 (<= @t144 @t226)))) % 1.25/1.46 (assume @p342 (forall @t515 (=> @t514 @t371))) % 1.25/1.46 (assume @p343 (forall @t427 (=> @t517 @t218))) % 1.25/1.46 (assume @p344 (forall @t515 (=> (and @t518 @t279) (not @t371)))) % 1.25/1.46 (assume @p345 (forall @t427 (=> (and @t425 @t281) @t219))) % 1.25/1.46 (assume @p346 (forall @t515 (=> (and @t518 @t371) @t183))) % 1.25/1.46 (assume @p347 (forall @t427 (=> (and @t425 @t218) @t192))) % 1.25/1.46 (assume @p348 (forall @t22 (=> @t522 (exists @t107 (and @t272 @t521 (forall @t103 (=> (and @t270 (|tptp.'fun_app$g'| (|tptp.'fun_app$q'| |tptp.'less_eq$c'| @t97) @t99)) @t519))))))) % 1.25/1.46 (assume @p349 (forall @t26 (=> @t524 (exists @t256 (and @t255 @t443 (forall @t254 (=> (and @t253 (<= @t248 @t249)) @t523))))))) % 1.25/1.46 (assume @p350 (forall @t17 (=> @t527 (exists @t146 (and @t245 @t448 (forall @t244 (=> (and @t243 @t526) @t525))))))) % 1.25/1.46 (assume @p351 (forall @t22 (=> @t522 (exists @t107 (and @t272 @t528 (forall @t103 (=> (and @t270 (|tptp.'fun_app$g'| @t520 @t97)) @t519))))))) % 1.25/1.46 (assume @p352 (forall @t26 (=> @t524 (exists @t256 (and @t255 @t442 (forall @t254 (=> (and @t253 @t462) @t523))))))) % 1.25/1.46 (assume @p353 (forall @t17 (=> @t527 (exists @t146 (and @t245 @t447 (forall @t244 (=> (and @t243 @t471) @t525))))))) % 1.25/1.46 (assume @p354 (forall @t76 (=> @t529 @t348))) % 1.25/1.46 (assume @p355 (forall @t76 (= @t529 @t348))) % 1.25/1.46 (assume @p356 (forall @t76 (|tptp.'fun_app$g'| (|tptp.'fun_app$q'| |tptp.'less_eq$c'| |tptp.'bot$g'|) @t71))) % 1.25/1.46 (assume @p357 (forall @t4 (=> @t434 @t307))) % 1.25/1.46 (assume @p358 (forall @t147 (=> @t439 (not @t530)))) % 1.25/1.46 (assume @p359 (forall @t4 (=> @t308 @t433))) % 1.25/1.46 (assume @p360 (forall @t147 (=> @t532 @t438))) % 1.25/1.46 (assume @p361 (forall @t4 (= @t308 (or @t435 @t301)))) % 1.25/1.46 (assume @p362 (forall @t147 (= @t532 (or @t440 @t454)))) % 1.25/1.46 (assume @p363 (forall @t4 (=> @t308 (= @t434 @t301)))) % 1.25/1.46 (assume @p364 (forall @t147 (=> @t532 (= @t439 @t454)))) % 1.25/1.46 (assume @p365 (forall @t4 (=> @t434 (= @t308 @t301)))) % 1.25/1.46 (assume @p366 (forall @t147 (=> @t439 (= @t532 @t454)))) % 1.25/1.46 (assume @p367 (forall @t147 (=> (forall @t146 (=> @t533 @t447)) @t438))) % 1.25/1.46 (assume @p368 (forall @t147 (=> (forall @t146 (=> @t145 @t448)) @t439))) % 1.25/1.46 (assume @p369 (forall @t4 (= @t3 (and @t434 (not @t433))))) % 1.25/1.46 (assume @p370 (forall @t147 (= @t531 (and @t439 (not @t438))))) % 1.25/1.46 (assume @p371 (forall @t4 (=> @t435 @t300))) % 1.25/1.46 (assume @p372 (forall @t147 (=> @t440 @t530))) % 1.25/1.46 (assume @p373 (forall @t4 (= @t434 @t534))) % 1.25/1.46 (assume @p374 (forall @t147 (= @t439 @t535))) % 1.25/1.46 (assume @p375 (forall @t4 (= @t3 @t536))) % 1.25/1.46 (assume @p376 (forall @t147 (= @t531 @t538))) % 1.25/1.46 (assume @p377 (forall @t304 (=> (and @t434 @t297) @t303))) % 1.25/1.46 (assume @p378 (forall @t451 (=> (and @t439 @t296) @t533))) % 1.25/1.46 (assume @p379 (forall @t304 (=> (and @t3 @t442) @t303))) % 1.25/1.46 (assume @p380 (forall @t451 (=> (and @t531 @t447) @t533))) % 1.25/1.46 (assume @p381 (forall @t451 (=> (and @t531 (forall @t244 (=> @t539 @t471))) @t446))) % 1.25/1.46 (assume @p382 (forall @t451 (=> (and @t531 (forall @t244 (=> @t539 @t526))) @t447))) % 1.25/1.46 (assume @p383 (forall @t4 (= @t434 (or @t3 @t306)))) % 1.25/1.46 (assume @p384 (forall @t147 (= @t439 (or @t531 @t436)))) % 1.25/1.46 (assume @p385 (forall @t4 (= @t3 (and @t434 @t320)))) % 1.25/1.46 (assume @p386 (forall @t147 (= @t531 (and @t439 @t437)))) % 1.25/1.46 (assume @p387 (forall @t304 (=> (and @t434 @t319) @t293))) % 1.25/1.46 (assume @p388 (forall @t451 (=> (and @t439 @t145) @t143))) % 1.25/1.46 (assume @p389 (forall @t304 (=> (and @t3 @t441) @t293))) % 1.25/1.46 (assume @p390 (forall @t451 (=> (and @t531 @t446) @t143))) % 1.25/1.46 (assume @p391 (forall @t4 (=> @t3 @t434))) % 1.25/1.46 (assume @p392 (forall @t147 (=> @t531 @t439))) % 1.25/1.46 (assume @p393 (forall @t4 (= @t435 @t300))) % 1.25/1.46 (assume @p394 (forall @t147 (= @t440 @t530))) % 1.25/1.46 (assume @p395 (forall @t4 (= @t308 @t433))) % 1.25/1.46 (assume @p396 (forall @t147 (= @t532 @t438))) % 1.25/1.46 (assume @p397 (forall @t4 (=> @t536 @t3))) % 1.25/1.46 (assume @p398 (forall @t147 (=> @t538 @t531))) % 1.25/1.46 (assume @p399 (forall @t4 (=> (and @t302 @t434) @t3))) % 1.25/1.46 (assume @p400 (forall @t147 (=> (and @t537 @t439) @t531))) % 1.25/1.46 (assume @p401 (forall @t333 (=> (and @t463 @t330 @t329) @t323))) % 1.25/1.46 (assume @p402 (forall @t482 (=> (and @t481 @t330 (forall @t328 (=> @t327 (< @t478 @t477)))) @t540))) % 1.25/1.46 (assume @p403 (forall @t342 (=> (and @t434 @t344 @t490) @t336))) % 1.25/1.46 (assume @p404 (forall @t500 (=> (and @t434 (< @t498 @t239) @t497) @t541))) % 1.25/1.46 (assume @p405 (forall @t506 (=> (and @t439 (< @t505 @t248) @t504) (< @t502 @t248)))) % 1.25/1.46 (assume @p406 (forall @t512 (=> (and @t439 (< @t511 @t239) @t510) (< @t508 @t239)))) % 1.25/1.46 (assume @p407 (forall @t333 (=> (and @t343 @t462 @t461) @t323))) % 1.25/1.46 (assume @p408 (forall @t482 (=> (and (< @t144 @t480) @t462 @t479) @t540))) % 1.25/1.46 (assume @p409 (forall @t473 (=> (and (< @t2 @t472) @t471 @t470) (< @t2 @t465)))) % 1.25/1.46 (assume @p410 (forall @t488 (=> (and (< @t144 @t487) @t471 @t486) (< @t144 @t484)))) % 1.25/1.46 (assume @p411 (forall @t342 (=> (and @t3 @t491 @t339) @t336))) % 1.25/1.46 (assume @p412 (forall @t500 (=> (and @t3 @t499 (forall @t328 (=> @t327 (< @t496 @t495)))) @t541))) % 1.25/1.46 (assume @p413 (forall @t4 (or @t434 @t300))) % 1.25/1.46 (assume @p414 (forall @t147 (or @t439 @t530))) % 1.25/1.46 (assume @p415 (forall @t4 (=> @t434 @t534))) % 1.25/1.46 (assume @p416 (forall @t147 (=> @t439 @t535))) % 1.25/1.46 (assume @p417 @t542) % 1.25/1.46 (assume @p418 (<= 0/1 0/1)) % 1.25/1.46 (assume @p419 (<= 0 1)) % 1.25/1.46 (assume @p420 (<= 0/1 1/1)) % 1.25/1.46 (assume @p421 (not (<= 1 0))) % 1.25/1.46 (assume @p422 (not (<= 1/1 0/1))) % 1.25/1.46 (assume @p423 (forall @t76 @t543)) % 1.25/1.46 (assume @p424 (forall @t76 (<= 0/1 @t204))) % 1.25/1.46 (assume @p425 (forall @t162 (=> @t292 (exists @t285 (and @t20 (forall @t107 (=> (and @t272 @t521) @t544))))))) % 1.25/1.46 (assume @p426 (forall @t160 (=> @t295 (exists @t294 (and @t24 (forall @t256 (=> (and @t255 @t443) @t305))))))) % 1.25/1.46 (assume @p427 (forall @t161 (=> @t287 (exists @t286 (and @t15 (forall @t146 (=> (and @t245 @t448) @t455))))))) % 1.25/1.46 (assume @p428 (forall @t162 (=> @t292 (exists @t285 (and @t20 (forall @t107 (=> (and @t272 @t528) @t544))))))) % 1.25/1.46 (assume @p429 (forall @t160 (=> @t295 (exists @t294 (and @t24 (forall @t256 (=> (and @t255 @t442) @t305))))))) % 1.25/1.46 (assume @p430 (forall @t161 (=> @t287 (exists @t286 (and @t15 (forall @t146 (=> (and @t245 @t447) @t455))))))) % 1.25/1.46 (assume @p431 (forall @t162 (=> (and @t280 (forall (@list @t19 @t99) (=> (and @t20 @t272) @t544))) (|tptp.'fun_app$h'| |tptp.'is_singleton$'| @t18)))) % 1.25/1.46 (assume @p432 (forall (@list @t8 @t176 @t549) (=> (and @t183 @t390 (forall @t554 (=> (and @t553 (forall @t552 (=> @t551 (<= (|tptp.'fun_app$x'| @t549 @t550) (|tptp.'fun_app$x'| @t549 @t134)))) @t548) @t547))) @t177))) % 1.25/1.46 (assume @p433 (forall (@list @t18 @t185 @t558) (=> (and @t192 @t394 (forall @t563 (=> (and @t562 (forall @t561 (=> @t560 (<= (|tptp.'fun_app$j'| @t558 @t559) (|tptp.'fun_app$j'| @t558 @t97)))) @t557) @t556))) @t186))) % 1.25/1.46 (assume @p434 (forall (@list @t8 @t176 @t564) (=> (and @t183 @t390 (forall @t554 (=> (and @t553 (forall @t552 (=> @t551 (<= (|tptp.'fun_app$ab'| @t564 @t550) (|tptp.'fun_app$ab'| @t564 @t134)))) @t548) @t547))) @t177))) % 1.25/1.46 (assume @p435 (forall (@list @t18 @t185 @t565) (=> (and @t192 @t394 (forall @t563 (=> (and @t562 (forall @t561 (=> @t560 (<= (|tptp.'fun_app$s'| @t565 @t559) (|tptp.'fun_app$s'| @t565 @t97)))) @t557) @t556))) @t186))) % 1.25/1.46 (assume @p436 (forall @t573 (=> (and @t183 @t518 @t572 (forall @t554 (=> (and @t553 @t571 (|tptp.'fun_app$d'| (|tptp.'less_eq$a'| @t545) @t289) @t570 @t569) @t568))) @t567))) % 1.25/1.46 (assume @p437 (forall @t580 (=> (and @t192 @t425 @t579 (forall @t563 (=> (and @t562 @t221 (|tptp.'fun_app$h'| (|tptp.'less_eq$b'| @t376) @t217) @t578 @t577) @t576))) @t575))) % 1.25/1.46 (assume @p438 (forall @t573 (=> (and @t183 @t518 @t572 (forall @t554 (=> (and @t553 @t571 @t570 @t569) @t568))) @t567))) % 1.25/1.46 (assume @p439 (forall @t580 (=> (and @t192 @t425 @t579 (forall @t563 (=> (and @t562 @t221 @t578 @t577) @t576))) @t575))) % 1.25/1.46 (assume @p440 (forall (@list @t8 @t9 @t549) (=> @t581 (<= (|tptp.'fun_app$x'| @t549 (|tptp.'arg_min_on$'| @t549 @t8)) (|tptp.'fun_app$x'| @t549 @t9))))) % 1.25/1.46 (assume @p441 (forall (@list @t18 @t19 @t558) (=> @t582 (<= (|tptp.'fun_app$j'| @t558 (|tptp.'arg_min_on$a'| @t558 @t18)) (|tptp.'fun_app$j'| @t558 @t19))))) % 1.25/1.46 (assume @p442 (forall (@list @t8 @t9 @t564) (=> @t581 (<= (|tptp.'fun_app$ab'| @t564 (|tptp.'arg_min_on$b'| @t564 @t8)) (|tptp.'fun_app$ab'| @t564 @t9))))) % 1.25/1.46 (assume @p443 (forall (@list @t18 @t19 @t565) (=> @t582 (<= (|tptp.'fun_app$s'| @t565 (|tptp.'arg_min_on$c'| @t565 @t18)) (|tptp.'fun_app$s'| @t565 @t19))))) % 1.25/1.46 (assume @p444 (forall @t139 (=> @t201 (= (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'card$'| (|tptp.'solution_set$'| @t38 @t6))) 1)))) % 1.25/1.46 (assume @p445 (forall @t197 (and (=> @t196 (= @t584 0)) (=> @t585 (= @t584 1))))) % 1.25/1.46 (assume @p446 (forall @t161 (= (= @t587 0) (|tptp.'fun_app$f'| @t586 @t411)))) % 1.25/1.46 (assume @p447 (forall @t379 (=> (and @t368 (|tptp.'fun_app$h'| @t588 @t217)) (|tptp.'fun_app$h'| (|tptp.'less_eq$b'| @t374) @t217)))) % 1.25/1.46 (assume @p448 (forall @t593 (= (= @t592 @t590) (or (= @t72 @t100) @t118)))) % 1.25/1.46 (assume @p449 (forall @t593 (= (= @t592 @t594) (or @t420 @t74)))) % 1.25/1.46 (assume @p450 (forall @t76 (= (* @t72 0) 0))) % 1.25/1.46 (assume @p451 (forall @t94 (= (= @t592 0) (or @t74 @t118)))) % 1.25/1.46 (assume @p452 (forall @t94 (= (= @t592 1) @t595))) % 1.25/1.46 (assume @p453 (forall @t94 (= (= 1 @t592) @t595))) % 1.25/1.46 (assume @p454 (forall @t63 (= (|tptp.'times$c'| |tptp.'zero$'| @t62) |tptp.'zero$'|))) % 1.25/1.46 (assume @p455 (forall @t195 (= (* 0 @t2) 0))) % 1.25/1.46 (assume @p456 (forall @t76 (= (|tptp.'fun_app$r'| (|tptp.'times$b'| |tptp.'zero$c'|) @t71) |tptp.'zero$c'|))) % 1.25/1.46 (assume @p457 (forall @t197 (= (* 0/1 @t144) 0/1))) % 1.25/1.46 (assume @p458 (forall @t63 (= (|tptp.'times$c'| @t62 |tptp.'zero$'|) |tptp.'zero$'|))) % 1.25/1.46 (assume @p459 (forall @t195 (= (* @t2 0) 0))) % 1.25/1.46 (assume @p460 (forall @t76 (= (|tptp.'fun_app$r'| @t596 |tptp.'zero$c'|) |tptp.'zero$c'|))) % 1.25/1.46 (assume @p461 (forall @t197 (= (* @t144 0/1) 0/1))) % 1.25/1.46 (assume @p462 (forall @t4 (= (= @t599 0) (or @t194 @t597)))) % 1.25/1.46 (assume @p463 (forall @t94 (= (= @t600 |tptp.'zero$c'|) (or @t124 @t163)))) % 1.25/1.46 (assume @p464 (forall @t147 (= (= @t603 0/1) (or @t196 @t601)))) % 1.25/1.46 (assume @p465 (forall @t304 (= (= @t599 @t604) (or @t194 @t305)))) % 1.25/1.46 (assume @p466 (forall @t593 (= (= @t600 @t605) (or @t124 @t544)))) % 1.25/1.46 (assume @p467 (forall @t451 (= @t607 (or @t196 @t455)))) % 1.25/1.46 (assume @p468 (forall @t304 (= (= @t599 (|tptp.'fun_app$w'| (|tptp.'times$a'| @t249) @t1)) (or @t597 (= @t2 @t249))))) % 1.25/1.46 (assume @p469 (forall @t593 (= (= @t600 (|tptp.'fun_app$r'| (|tptp.'times$b'| @t99) @t19)) (or @t163 @t367)))) % 1.25/1.46 (assume @p470 (forall @t451 (= @t610 (or @t601 @t608)))) % 1.25/1.46 (assume @p471 (forall @t451 (= @t610 (or @t608 @t601)))) % 1.25/1.46 (assume @p472 (forall @t451 (= @t607 (or @t455 @t196)))) % 1.25/1.46 (assume @p473 (forall @t195 (= (* 1 @t2) @t2))) % 1.25/1.46 (assume @p474 (forall @t76 (= (|tptp.'fun_app$r'| (|tptp.'times$b'| |tptp.'one$c'|) @t71) @t71))) % 1.25/1.46 (assume @p475 (forall @t197 (= (* 1/1 @t144) @t144))) % 1.25/1.46 (assume @p476 (forall @t195 (= (* @t2 1) @t2))) % 1.25/1.46 (assume @p477 (forall @t76 (= (|tptp.'fun_app$r'| @t596 |tptp.'one$c'|) @t71))) % 1.25/1.46 (assume @p478 (forall @t197 (= (* @t144 1/1) @t144))) % 1.25/1.46 (assume @p479 (forall @t94 (= (|tptp.'fun_app$r'| |tptp.'of_nat$a'| @t612) (|tptp.'fun_app$r'| @t611 @t225)))) % 1.25/1.46 (assume @p480 (forall @t94 (= (|tptp.'fun_app$j'| |tptp.'of_nat$'| @t612) @t592))) % 1.25/1.46 (assume @p481 (forall @t94 (= (|tptp.'fun_app$s'| |tptp.'of_nat$b'| @t612) (|tptp.'fun_app$aa'| @t613 @t226)))) % 1.25/1.46 (assume @p482 (forall @t114 (= @t113 (|tptp.'fun_app$o'| (|tptp.'fun_app$p'| |tptp.'vector_scalar_mult$'| (|tptp.'times$d'| @t55 @t110)) @t83)))) % 1.25/1.46 (assume @p483 (forall @t94 (= (< 0 @t592) (and @t73 @t351)))) % 1.25/1.46 (assume @p484 (forall @t593 (= (< @t592 @t590) (and @t351 @t222)))) % 1.25/1.46 (assume @p485 (forall @t4 (= (= @t599 @t1) (or @t597 @t416)))) % 1.25/1.46 (assume @p486 (forall @t147 (= (= @t603 @t14) (or @t601 (= @t144 1/1))))) % 1.25/1.46 (assume @p487 (forall @t4 (= (= @t2 @t616) @t614))) % 1.25/1.46 (assume @p488 (forall @t147 (= (= @t144 @t619) @t617))) % 1.25/1.46 (assume @p489 (forall @t4 (= (= @t599 @t2) @t614))) % 1.25/1.46 (assume @p490 (forall @t147 (= (= @t603 @t144) @t617))) % 1.25/1.46 (assume @p491 (forall @t4 (= (= @t2 @t599) @t614))) % 1.25/1.46 (assume @p492 (forall @t147 (= (= @t144 @t603) @t617))) % 1.25/1.46 (assume @p493 (forall @t158 (=> @t279 @t621))) % 1.25/1.46 (assume @p494 (forall @t162 (=> @t281 @t623))) % 1.25/1.46 (assume @p495 (forall @t593 (= (<= @t592 @t590) (=> @t351 @t624)))) % 1.25/1.46 (assume @p496 (forall @t158 (=> @t183 (= @t621 @t258)))) % 1.25/1.46 (assume @p497 (forall @t162 (=> @t192 (= @t623 @t266)))) % 1.25/1.46 (assume @p498 (= (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'fun_app$ac'| @t583 |tptp.'bot$b'|)) 0)) % 1.25/1.46 (assume @p499 (forall @t360 (=> (and @t192 (< @t89 @t622) (< @t100 @t622)) @t359))) % 1.25/1.46 (assume @p500 (forall @t162 (= (= @t622 1) (exists @t285 (and @t20 (forall @t107 (=> @t272 (= @t99 @t19)))))))) % 1.25/1.46 (assume @p501 (forall @t76 (= (* @t72 1) @t72))) % 1.25/1.46 (assume @p502 (forall @t76 (= (* 1 @t72) @t72))) % 1.25/1.46 (assume @p503 (forall @t162 (= @t281 (forall @t285 (exists @t107 (and @t625 @t272)))))) % 1.25/1.46 (assume @p504 (forall @t515 (=> @t514 (<= @t626 @t620)))) % 1.25/1.46 (assume @p505 (forall @t427 (=> @t517 (<= @t627 @t622)))) % 1.25/1.46 (assume @p506 (forall @t515 (=> (and @t183 @t513 (<= @t620 @t626)) (= @t289 @t8)))) % 1.25/1.46 (assume @p507 (forall @t427 (=> (and @t192 @t516 (<= @t622 @t627)) (= @t217 @t18)))) % 1.25/1.46 (assume @p508 (forall (@list @t8 @t19) (=> (forall @t182 (=> (and (|tptp.'fun_app$d'| (|tptp.'less_eq$a'| @t178) @t8) @t181) (<= (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'card$'| @t178)) @t89))) (and @t183 (<= @t620 @t89))))) % 1.25/1.46 (assume @p509 (forall @t22 (=> (forall @t191 (=> (and (|tptp.'fun_app$h'| @t588 @t18) @t190) (<= (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'card$a'| @t187)) @t89))) (and @t192 (<= @t622 @t89))))) % 1.25/1.46 (assume @p510 (forall (@list @t13 @t628) (=> (|tptp.'fun_app$f'| @t586 @t628) (<= @t587 (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'fun_app$ac'| @t583 @t628)))))) % 1.25/1.46 (assume @p511 (forall @t76 (<= @t72 (|tptp.'fun_app$w'| @t591 @t629)))) % 1.25/1.46 (assume @p512 (forall @t76 (<= @t72 @t72))) % 1.25/1.46 (assume @p513 (forall @t593 (=> (and @t428 @t625) @t624))) % 1.25/1.46 (assume @p514 (forall @t94 (=> @t92 @t428))) % 1.25/1.46 (assume @p515 (forall @t76 (<= @t72 @t629))) % 1.25/1.46 (assume @p516 (forall @t94 (=> (and @t428 @t630) @t92))) % 1.25/1.46 (assume @p517 (forall (@list @t71 @t19 @t99 @t97) (=> (and @t428 (<= @t100 @t101)) (<= @t594 (|tptp.'fun_app$w'| @t631 @t101))))) % 1.25/1.46 (assume @p518 (forall @t593 (=> @t428 (<= @t594 (|tptp.'fun_app$w'| @t631 @t100))))) % 1.25/1.46 (assume @p519 (forall @t593 (=> @t428 (<= (|tptp.'fun_app$w'| @t589 @t72) @t590)))) % 1.25/1.46 (assume @p520 (forall @t94 (or @t428 @t630))) % 1.25/1.46 (assume @p521 (forall (@list @t95 @t19 @t99) (=> (and @t96 (forall @t103 (=> @t98 (<= @t101 @t100)))) (exists @t103 (and @t98 (forall @t399 (=> (|tptp.'fun_app$g'| @t95 @t273) (<= @t632 @t101)))))))) % 1.25/1.46 (assume @p522 (forall @t161 (=> @t175 (<= @t587 (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'card$b'| @t13)))))) % 1.25/1.46 (assume @p523 (= @t542 true)) % 1.25/1.46 (assume @p524 (forall (@list @t633 @t19 @t99) (=> (and (forall (@list @t97 @t273) (=> (< @t101 @t632) (< (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'fun_app$r'| @t633 @t97)) (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'fun_app$r'| @t633 @t273))))) @t625) (<= (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'fun_app$r'| @t633 @t19)) (|tptp.'fun_app$j'| |tptp.'of_nat$'| (|tptp.'fun_app$r'| @t633 @t99)))))) % 1.25/1.46 (assume @p525 (forall @t94 (=> @t634 @t91))) % 1.25/1.46 (assume @p526 (forall @t94 (=> @t635 @t428))) % 1.25/1.46 (assume @p527 (forall @t94 (= @t428 @t635))) % 1.25/1.46 (assume @p528 (forall @t94 (=> @t91 @t428))) % 1.25/1.46 (assume @p529 (forall @t94 (= @t91 @t634))) % 1.25/1.46 (assume @p530 (forall @t76 (=> @t432 @t74))) % 1.25/1.46 (assume @p531 (forall @t76 (= @t543 true))) % 1.25/1.46 (assume @p532 (forall @t147 (=> (and (<= 0/1 @t144) (<= 0/1 @t14) (forall @t107 (=> @t116 (<= (|tptp.'fun_app$aa'| (|tptp.'fun_app$ad'| |tptp.'times$'| (|tptp.'fun_app$s'| |tptp.'of_nat$b'| @t99)) @t144) @t14)))) @t196))) % 1.25/1.46 (assume @p533 (forall @t515 (=> (and @t183 @t371) (|tptp.'fun_app$d'| |tptp.'finite$'| (|tptp.'times$e'| @t8 @t289))))) % 1.25/1.46 (assume @p534 (forall @t427 (=> (and @t192 @t218) (|tptp.'fun_app$h'| |tptp.'finite$d'| (|tptp.'times$f'| @t18 @t217))))) % 1.25/1.46 (assume @p535 (forall @t451 (=> (and @t585 @t607) @t455))) % 1.25/1.46 (assume @p536 (forall @t451 (=> (and @t585 (= @t619 (|tptp.'fun_app$aa'| @t609 @t144))) @t455))) % 1.25/1.46 (assume @p537 (forall @t76 (= (* 0 @t72) 0))) % 1.25/1.46 (assume @p538 (forall @t94 (= (|tptp.'fun_app$r'| @t611 @t19) (|tptp.'fun_app$r'| @t636 @t203)))) % 1.25/1.46 (assume @p539 (forall (@list @t71 @t1) (= (|tptp.'fun_app$w'| @t591 @t1) (|tptp.'fun_app$w'| @t615 @t72)))) % 1.25/1.46 (assume @p540 (forall (@list @t71 @t14) (= (|tptp.'fun_app$aa'| @t613 @t14) (|tptp.'fun_app$aa'| @t618 @t204)))) % 1.25/1.46 (assume @p541 (forall @t304 (= @t637 (|tptp.'fun_app$w'| @t615 @t604)))) % 1.25/1.46 (assume @p542 (forall @t593 (= @t638 (|tptp.'fun_app$r'| @t636 @t605)))) % 1.25/1.46 (assume @p543 (forall @t451 (= @t639 (|tptp.'fun_app$aa'| @t618 @t606)))) % 1.25/1.46 (assume @p544 (forall @t4 (= @t599 @t616))) % 1.25/1.46 (assume @p545 (forall @t94 (= @t600 (|tptp.'fun_app$r'| @t636 @t71)))) % 1.25/1.46 (assume @p546 (forall @t147 (= @t603 @t619))) % 1.25/1.46 (assume @p547 (forall @t304 (= (|tptp.'fun_app$w'| (|tptp.'times$a'| @t599) @t249) @t637))) % 1.25/1.46 (assume @p548 (forall @t593 (= (|tptp.'fun_app$r'| (|tptp.'times$b'| @t600) @t99) @t638))) % 1.25/1.46 (assume @p549 (forall @t451 (= (|tptp.'fun_app$aa'| (|tptp.'fun_app$ad'| |tptp.'times$'| @t603) @t142) @t639))) % 1.25/1.46 (assume @p550 (forall @t76 (= (|tptp.'nat$'| @t72) @t71))) % 1.25/1.46 (assume @p551 (forall @t195 (and (=> @t641 (= @t640 @t2)) (=> (not @t641) (= @t640 0))))) % 1.25/1.46 (assume @p552 (forall (@list @t642) (or (= @t642 tptp.tltrue) (= @t642 tptp.tlfalse)))) % 1.25/1.46 (assume @p553 (not (= tptp.tltrue tptp.tlfalse))) % 1.25/1.46 (assume @p554 true) % 1.25/1.46 (step @p555 :rule refl :args (1)) % 1.25/1.46 (step @p556 :rule symm :premises (@p118)) % 1.25/1.46 (step @p557 :rule cong :premises (@p556) :args (@t214)) % 1.25/1.46 (step @p558 :rule symm :premises (@p100)) % 1.25/1.46 (step @p559 :rule trans :premises (@p558 @p557)) % 1.25/1.46 (step @p560 :rule refl :args (@t38)) % 1.25/1.46 (step @p561 :rule cong :premises (@p560 @p559) :args (@t39)) % 1.25/1.46 (step @p562 :rule refl :args (@t28)) % 1.25/1.46 (step @p563 :rule cong :premises (@p562 @p561) :args (@t47)) % 1.25/1.46 (step @p564 :rule refl :args (|tptp.'of_nat$'|)) % 1.25/1.46 (step @p565 :rule cong :premises (@p564 @p563) :args (@t48)) % 1.25/1.46 (step @p566 :rule cong :premises (@p565 @p555) :args (@t643)) % 1.25/1.46 (step @p567 :rule refl :args (|tptp.'finite$'|)) % 1.25/1.46 (step @p568 :rule cong :premises (@p567 @p561) :args (@t45)) % 1.25/1.46 (step @p569 :rule nary_cong :premises (@p568 @p566) :args (@t644)) % 1.25/1.46 (step @p570 :rule cong :premises (@p569) :args ((forall @t40 @t644))) % 1.25/1.46 (step @p571 :rule refl :args (@t643)) % 1.25/1.46 (step @p572 :rule bool-double-not-elim :args (@t45)) % 1.25/1.46 (step @p573 :rule nary_cong :premises (@p572 @p571) :args ((or (not @t46) @t643))) % 1.25/1.46 (step @p574 :rule bool-impl-elim :args (@t46 @t643)) % 1.25/1.46 (step @p575 :rule trans :premises (@p574 @p573)) % 1.25/1.46 (step @p576 :rule cong :premises (@p575) :args ((forall @t40 (=> @t46 @t643)))) % 1.25/1.46 (step @p577 :rule bool-double-not-elim :args (@t643)) % 1.25/1.46 (step @p578 :rule arith_poly_norm :args ((= (* -1 (- 1 @t645)) (* -1 (- 0 @t48))))) % 1.25/1.46 (step @p579 :rule arith_poly_norm_rel :premises (@p578) :args ((= (>= 1 @t645) @t646))) % 1.25/1.46 (step @p580 :rule arith-geq-tighten :args (@t48 1)) % 1.25/1.46 (step @p581 :rule trans :premises (@p580 @p579)) % 1.25/1.46 (step @p582 :rule symm :premises (@p581)) % 1.25/1.46 (step @p583 :rule cong :premises (@p582) :args ((not @t646))) % 1.25/1.46 (step @p584 :rule trans :premises (@p583 @p577)) % 1.25/1.46 (step @p585 :rule arith-elim-lt :args (0 @t48)) % 1.25/1.46 (step @p586 :rule trans :premises (@p585 @p584)) % 1.25/1.46 (step @p587 :rule refl :args (@t46)) % 1.25/1.46 (step @p588 :rule cong :premises (@p587 @p586) :args (@t52)) % 1.25/1.46 (step @p589 :rule cong :premises (@p588) :args (@t53)) % 1.25/1.46 (step @p590 :rule trans :premises (@p589 @p576)) % 1.25/1.46 (step @p591 :rule trans :premises (@p590 @p570)) % 1.25/1.46 (step @p592 :rule eq_resolve :premises (@p13 @p591)) % 1.25/1.46 (step @p593 :rule bool-double-not-elim :args (@t649)) % 1.25/1.46 (step @p594 :rule refl :args (@t651)) % 1.25/1.46 (step @p595 :rule nary_cong :premises (@p594 @p593) :args ((or @t651 (not @t652)))) % 1.25/1.46 (step @p596 :rule eq-symm :args (@t652 @t650)) % 1.25/1.46 (step @p597 :rule cong :premises (@p596) :args ((not (= @t652 @t650)))) % 1.25/1.46 (step @p598 :rule refl :args (|tptp.'a$'|)) % 1.25/1.46 (step @p599 :rule cong :premises (@p598 @p559) :args (@t27)) % 1.25/1.46 (step @p600 :rule cong :premises (@p562 @p599) :args (@t29)) % 1.25/1.46 (step @p601 :rule cong :premises (@p564 @p600) :args (@t30)) % 1.25/1.46 (step @p602 :rule cong :premises (@p601 @p555) :args (@t653)) % 1.25/1.46 (step @p603 :rule cong :premises (@p567 @p599) :args (@t31)) % 1.25/1.46 (step @p604 :rule cong :premises (@p603) :args (@t32)) % 1.25/1.46 (step @p605 :rule cong :premises (@p604 @p602) :args (@t654)) % 1.25/1.46 (step @p606 :rule cong :premises (@p605) :args ((not @t654))) % 1.25/1.46 (step @p607 :rule trans :premises (@p606 @p597)) % 1.25/1.46 (step @p608 :rule bool-double-not-elim :args (@t653)) % 1.25/1.46 (step @p609 :rule arith_poly_norm :args ((= (* -1 (- 1 @t655)) (* -1 (- 0 @t30))))) % 1.25/1.46 (step @p610 :rule arith_poly_norm_rel :premises (@p609) :args ((= (>= 1 @t655) @t656))) % 1.25/1.46 (step @p611 :rule arith-geq-tighten :args (@t30 1)) % 1.25/1.46 (step @p612 :rule trans :premises (@p611 @p610)) % 1.25/1.46 (step @p613 :rule symm :premises (@p612)) % 1.25/1.46 (step @p614 :rule cong :premises (@p613) :args ((not @t656))) % 1.25/1.46 (step @p615 :rule trans :premises (@p614 @p608)) % 1.25/1.46 (step @p616 :rule arith-elim-lt :args (0 @t30)) % 1.25/1.46 (step @p617 :rule trans :premises (@p616 @p615)) % 1.25/1.46 (step @p618 :rule refl :args (@t32)) % 1.25/1.46 (step @p619 :rule cong :premises (@p618 @p617) :args (@t33)) % 1.25/1.46 (step @p620 :rule cong :premises (@p619) :args (@t34)) % 1.25/1.46 (step @p621 :rule trans :premises (@p620 @p607)) % 1.25/1.46 (step @p622 :rule eq_resolve :premises (@p7 @p621)) % 1.25/1.46 (step @p623 :rule not_equiv_elim2 :premises (@p622)) % 1.25/1.46 (step @p624 :rule eq_resolve :premises (@p623 @p595)) % 1.25/1.46 (step @p625 :rule reordering :premises (@p624) :args ((or @t649 @t651))) % 1.25/1.46 (step @p626 :rule cong :premises (@p568) :args (@t46)) % 1.25/1.46 (step @p627 :rule cong :premises (@p566) :args (@t657)) % 1.25/1.46 (step @p628 :rule nary_cong :premises (@p627 @p626) :args (@t658)) % 1.25/1.46 (step @p629 :rule cong :premises (@p628) :args ((forall @t40 @t658))) % 1.25/1.46 (step @p630 :rule bool-impl-elim :args (@t643 @t46)) % 1.25/1.46 (step @p631 :rule cong :premises (@p630) :args ((forall @t40 (=> @t643 @t46)))) % 1.25/1.46 (step @p632 :rule cong :premises (@p586 @p587) :args (@t50)) % 1.25/1.46 (step @p633 :rule cong :premises (@p632) :args (@t51)) % 1.25/1.46 (step @p634 :rule trans :premises (@p633 @p631)) % 1.25/1.46 (step @p635 :rule trans :premises (@p634 @p629)) % 1.25/1.46 (step @p636 :rule eq_resolve :premises (@p11 @p635)) % 1.25/1.46 (step @p637 :rule instantiate :premises (@p636) :args (@t659)) % 1.25/1.46 (step @p638 :rule cnf_or_pos :args (@t660)) % 1.25/1.46 (step @p639 :rule reordering :premises (@p638) :args ((or @t652 @t651 (not @t660)))) % 1.25/1.46 (step @p640 :rule chain_m_resolution :premises (@p639 @p637 @p625) :args (@t651 (@list false false) (@list @t660 @t649))) % 1.25/1.46 (step @p641 :rule not_equiv_elim1 :premises (@p622)) % 1.25/1.46 (step @p642 :rule chain_m_resolution :premises (@p641 @p640) :args (@t652 (@list true) (@list @t650))) % 1.25/1.46 (step @p643 :rule cnf_or_pos :args (@t661)) % 1.25/1.46 (step @p644 :rule reordering :premises (@p643) :args ((or @t650 @t649 @t662))) % 1.25/1.46 (step @p645 :rule chain_m_resolution :premises (@p644 @p640 @p642) :args (@t662 (@list true true) (@list @t650 @t649))) % 1.25/1.46 (assume-push @p652 @t664) % 1.25/1.46 (step @p647 :rule instantiate :premises (@p592) :args (@t659)) % 1.25/1.46 (step-pop @p653 :rule scope :premises (@p647)) % 1.25/1.46 (step @p648 :rule process_scope :premises (@p653) :args (@t661)) % 1.25/1.46 (step @p650 :rule implies_elim :premises (@p648)) % 1.25/1.46 (step @p651 false :rule chain_m_resolution :premises (@p650 @p645 @p592) :args (false (@list true false) (@list @t661 @t664))) % 1.25/1.46 ) % 1.25/1.46 % SZS output end Proof % 1.25/1.46 % cvc5 exiting %------------------------------------------------------------------------------