%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP027^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:24:50 AM UTC 2026 % Result : Theorem 0.83s 1.09s % Output : Proof 0.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP027^1 : TPTP v9.2.1. Released v7.5.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 04:10:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.40/0.65 %----Proving TH0 % 0.83/1.09 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.83/1.09 % SZS status Theorem % 0.83/1.09 % SZS output start Proof % 0.83/1.09 ( % 0.83/1.09 (declare-sort tptp.carrie1105631105xt_a_b 0) % 0.83/1.09 (declare-sort tptp.a 0) % 0.83/1.09 (declare-sort tptp.nat 0) % 0.83/1.09 (declare-sort tptp.set_a 0) % 0.83/1.09 (declare-sort tptp.carrie1954260683t_unit 0) % 0.83/1.09 (declare-sort tptp.c 0) % 0.83/1.09 (declare-sort tptp.d 0) % 0.83/1.09 (declare-sort tptp.carrie1948989069_d_a_e 0) % 0.83/1.09 (declare-sort tptp.set_d_d 0) % 0.83/1.09 (declare-sort tptp.set_a_a_a_a_a3 0) % 0.83/1.09 (declare-sort tptp.set_a_a_a_a 0) % 0.83/1.09 (declare-sort tptp.set_a_a_c_d_a 0) % 0.83/1.09 (declare-sort tptp.set_a_a_c_d 0) % 0.83/1.09 (declare-sort tptp.set_c_d_c_d 0) % 0.83/1.09 (declare-sort tptp.set_c_d_c_d_a2 0) % 0.83/1.09 (declare-sort tptp.set_c_d_d 0) % 0.83/1.09 (declare-sort tptp.set_a_a 0) % 0.83/1.09 (declare-sort tptp.set_c_d 0) % 0.83/1.09 (declare-sort tptp.set_c 0) % 0.83/1.09 (declare-sort tptp.set_a_a_a 0) % 0.83/1.09 (declare-sort tptp.set_nat 0) % 0.83/1.09 (declare-sort tptp.set_d 0) % 0.83/1.09 (declare-sort tptp.set_a_a_a_a_d 0) % 0.83/1.09 (declare-sort tptp.set_a_a_a_a_a_d 0) % 0.83/1.09 (declare-sort tptp.set_a_a_a_a_a 0) % 0.83/1.09 (declare-sort tptp.set_a_a_c_d_d 0) % 0.83/1.09 (declare-sort tptp.set_a_d 0) % 0.83/1.09 (declare-sort tptp.set_a_a_d 0) % 0.83/1.09 (declare-sort tptp.set_a_a_a_d 0) % 0.83/1.09 (declare-sort tptp.set_c_d_c_d_d 0) % 0.83/1.09 (declare-sort tptp.set_a_c_d_c_d 0) % 0.83/1.09 (declare-sort tptp.set_c_c_d 0) % 0.83/1.09 (declare-sort tptp.set_d_c_d 0) % 0.83/1.09 (declare-sort tptp.set_a_c_d 0) % 0.83/1.09 (declare-sort tptp.set_a_a_a_a4 0) % 0.83/1.09 (declare-sort tptp.set_a_a_a2 0) % 0.83/1.09 (declare-sort tptp.set_c_d_a 0) % 0.83/1.09 (declare-sort tptp.set_a_a_a_a_a2 0) % 0.83/1.09 (declare-sort tptp.set_a_a_a_a2 0) % 0.83/1.09 (declare-sort tptp.set_a_a_a_c_d 0) % 0.83/1.09 (declare-sort tptp.set_a_c_d_a 0) % 0.83/1.09 (declare-sort tptp.set_d_a 0) % 0.83/1.09 (declare-sort tptp.set_c_d_c_d_a 0) % 0.83/1.09 (declare-sort tptp.set_c_d_a_a_a 0) % 0.83/1.09 (declare-sort tptp.set_c_d_a_a 0) % 0.83/1.09 (declare-sort tptp.set_d_c 0) % 0.83/1.09 (declare-sort tptp.set_c_a 0) % 0.83/1.09 (declare-sort tptp.set_a_a_a_a3 0) % 0.83/1.09 (declare-sort tptp.set_c_d_c_d_c_d 0) % 0.83/1.09 (declare-sort tptp.set_a_a_c_d_c_d 0) % 0.83/1.09 (declare-sort tptp.set_a_a_c_d2 0) % 0.83/1.09 (declare-sort tptp.set_a_c 0) % 0.83/1.09 (declare-sort tptp.set_c_d_a_a_a2 0) % 0.83/1.09 (declare-sort tptp.set_c_c 0) % 0.83/1.09 (declare-const tptp.m (-> tptp.c tptp.carrie1948989069_d_a_e)) % 0.83/1.09 (declare-const tptp.primary_ideal_a_b (-> tptp.carrie1105631105xt_a_b tptp.set_a Bool)) % 0.83/1.09 (declare-const tptp.local_ring_a_b (-> tptp.carrie1105631105xt_a_b Bool)) % 0.83/1.09 (declare-const tptp.un_a_b (-> tptp.carrie1105631105xt_a_b tptp.a)) % 0.83/1.09 (declare-const tptp.ord_less_eq_nat (-> tptp.nat tptp.nat Bool)) % 0.83/1.09 (declare-const tptp.sum_mult_a_b (-> tptp.carrie1105631105xt_a_b tptp.set_a tptp.set_a tptp.set_a)) % 0.83/1.09 (declare-const tptp.unit_a_b (-> tptp.carrie1105631105xt_a_b tptp.a Bool)) % 0.83/1.09 (declare-const tptp.ord_less_eq_set_a (-> tptp.set_a tptp.set_a Bool)) % 0.83/1.09 (declare-const tptp.aset_s1743553894xt_a_b (-> tptp.carrie1105631105xt_a_b tptp.set_a tptp.set_a tptp.set_a)) % 0.83/1.09 (declare-const tptp.plus_plus_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.83/1.09 (declare-const tptp.sprod_1929599593t_unit (-> tptp.carrie1954260683t_unit tptp.a (-> tptp.c tptp.d) tptp.c tptp.d)) % 0.83/1.09 (declare-const tptp.carr_d267359390xt_a_b (-> tptp.set_a (-> tptp.a tptp.carrie1105631105xt_a_b) tptp.set_a_a)) % 0.83/1.09 (declare-const tptp.carr_p1850824937xt_a_b (-> tptp.set_a_a_a_a (-> (-> tptp.a tptp.a tptp.a tptp.a) tptp.carrie1105631105xt_a_b) tptp.set_a_a_a_a_a3)) % 0.83/1.09 (declare-const tptp.prod_p46206586xt_a_b (-> tptp.set_a_a_a_a (-> (-> tptp.a tptp.a tptp.a tptp.a) tptp.carrie1105631105xt_a_b) (-> (-> tptp.a tptp.a tptp.a tptp.a) tptp.a) (-> (-> tptp.a tptp.a tptp.a tptp.a) tptp.a) (-> tptp.a tptp.a tptp.a tptp.a) tptp.a)) % 0.83/1.09 (declare-const tptp.member_a_a_c_d_a (-> (-> (-> tptp.a tptp.a tptp.c tptp.d) tptp.a) tptp.set_a_a_c_d_a Bool)) % 0.83/1.09 (declare-const tptp.prod_p452275129xt_a_b (-> tptp.set_a_a_c_d (-> (-> tptp.a tptp.a tptp.c tptp.d) tptp.carrie1105631105xt_a_b) (-> (-> tptp.a tptp.a tptp.c tptp.d) tptp.a) (-> (-> tptp.a tptp.a tptp.c tptp.d) tptp.a) (-> tptp.a tptp.a tptp.c tptp.d) tptp.a)) % 0.83/1.09 (declare-const tptp.member_c_d_c_d_a (-> (-> (-> (-> tptp.c tptp.d) tptp.c tptp.d) tptp.a) tptp.set_c_d_c_d_a2 Bool)) % 0.83/1.09 (declare-const tptp.prod_p1959959370xt_a_b (-> tptp.set_c_d_c_d (-> (-> (-> tptp.c tptp.d) tptp.c tptp.d) tptp.carrie1105631105xt_a_b) (-> (-> (-> tptp.c tptp.d) tptp.c tptp.d) tptp.a) (-> (-> (-> tptp.c tptp.d) tptp.c tptp.d) tptp.a) (-> (-> tptp.c tptp.d) tptp.c tptp.d) tptp.a)) % 0.83/1.09 (declare-const tptp.prod_p1460711911xt_a_b (-> tptp.set_a_a_a (-> (-> tptp.a tptp.a tptp.a) tptp.carrie1105631105xt_a_b) (-> (-> tptp.a tptp.a tptp.a) tptp.a) (-> (-> tptp.a tptp.a tptp.a) tptp.a) (-> tptp.a tptp.a tptp.a) tptp.a)) % 0.83/1.09 (declare-const tptp.prod_p1210452560xt_a_b (-> tptp.set_a_a (-> (-> tptp.a tptp.a) tptp.carrie1105631105xt_a_b) (-> (-> tptp.a tptp.a) tptp.a) (-> (-> tptp.a tptp.a) tptp.a) (-> tptp.a tptp.a) tptp.a)) % 0.83/1.09 (declare-const tptp.prod_p708888123xt_a_b (-> tptp.set_c (-> tptp.c tptp.carrie1105631105xt_a_b) (-> tptp.c tptp.a) (-> tptp.c tptp.a) tptp.c tptp.a)) % 0.83/1.09 (declare-const tptp.prod_p711161210xt_a_b (-> tptp.set_d (-> tptp.d tptp.carrie1105631105xt_a_b) (-> tptp.d tptp.a) (-> tptp.d tptp.a) tptp.d tptp.a)) % 0.83/1.09 (declare-const tptp.aGroup2131905830t_unit (-> tptp.carrie1954260683t_unit Bool)) % 0.83/1.09 (declare-const tptp.mul_closed_set_a_b (-> tptp.carrie1105631105xt_a_b tptp.set_a Bool)) % 0.83/1.09 (declare-const tptp.pop_a_Ring_ext_a_b (-> tptp.carrie1105631105xt_a_b tptp.a tptp.a tptp.a)) % 0.83/1.09 (declare-const tptp.carr_p1617094073xt_a_b (-> tptp.set_c_d_c_d (-> (-> (-> tptp.c tptp.d) tptp.c tptp.d) tptp.carrie1105631105xt_a_b) tptp.set_c_d_c_d_a2)) % 0.83/1.09 (declare-const tptp.collect_a_a_a_a (-> (-> (-> tptp.a tptp.a tptp.a tptp.a) Bool) tptp.set_a_a_a_a)) % 0.83/1.09 (declare-const tptp.collect_c_d_c_d (-> (-> (-> (-> tptp.c tptp.d) tptp.c tptp.d) Bool) tptp.set_c_d_c_d)) % 0.83/1.09 (declare-const tptp.collect_a_a_a (-> (-> (-> tptp.a tptp.a tptp.a) Bool) tptp.set_a_a_a)) % 0.83/1.09 (declare-const tptp.collect_a_a (-> (-> (-> tptp.a tptp.a) Bool) tptp.set_a_a)) % 0.83/1.09 (declare-const tptp.collect_c_d (-> (-> (-> tptp.c tptp.d) Bool) tptp.set_c_d)) % 0.83/1.09 (declare-const tptp.member_nat (-> tptp.nat tptp.set_nat Bool)) % 0.83/1.09 (declare-const tptp.collect_nat (-> (-> tptp.nat Bool) tptp.set_nat)) % 0.83/1.09 (declare-const tptp.zeroring_a_b (-> tptp.carrie1105631105xt_a_b Bool)) % 0.83/1.09 (declare-const tptp.member_a_d (-> (-> tptp.a tptp.d) tptp.set_a_d Bool)) % 0.83/1.09 (declare-const tptp.mop_a_Ring_ext_a_b (-> tptp.carrie1105631105xt_a_b tptp.a tptp.a)) % 0.83/1.09 (declare-const tptp.pi_d_a (-> tptp.set_d (-> tptp.d tptp.set_a) tptp.set_d_a)) % 0.83/1.09 (declare-const tptp.member_a_a_c_d_c_d (-> (-> tptp.a tptp.a (-> tptp.c tptp.d) tptp.c tptp.d) tptp.set_a_a_c_d_c_d Bool)) % 0.83/1.09 (declare-const tptp.pi_a_a (-> tptp.set_a (-> tptp.a tptp.set_a) tptp.set_a_a)) % 0.83/1.09 (declare-const tptp.pi_c_d_a (-> tptp.set_c_d (-> (-> tptp.c tptp.d) tptp.set_a) tptp.set_c_d_a)) % 0.83/1.09 (declare-const tptp.pi_a_a_c_d_c_d (-> tptp.set_a (-> tptp.a tptp.set_a_c_d_c_d) tptp.set_a_a_c_d_c_d)) % 0.83/1.09 (declare-const tptp.carrie867757212xt_a_b (-> tptp.carrie1105631105xt_a_b tptp.set_a)) % 0.83/1.09 (declare-const tptp.algebr1697692348_c_d_e (-> tptp.carrie1105631105xt_a_b tptp.set_c (-> tptp.c tptp.carrie1948989069_d_a_e) tptp.a (-> tptp.c tptp.d) tptp.c tptp.d)) % 0.83/1.09 (declare-const tptp.carr_p1481099064xt_a_b (-> tptp.set_a_a_a (-> (-> tptp.a tptp.a tptp.a) tptp.carrie1105631105xt_a_b) tptp.set_a_a_a_a4)) % 0.83/1.09 (declare-const tptp.pi_a_a_a_a (-> tptp.set_a_a_a (-> (-> tptp.a tptp.a tptp.a) tptp.set_a) tptp.set_a_a_a_a4)) % 0.83/1.09 (declare-const tptp.member_a_a_a_a_d (-> (-> (-> tptp.a tptp.a tptp.a tptp.a) tptp.d) tptp.set_a_a_a_a_d Bool)) % 0.83/1.09 (declare-const tptp.member_a_a_a (-> (-> (-> tptp.a tptp.a) tptp.a) tptp.set_a_a_a2 Bool)) % 0.83/1.09 (declare-const tptp.member_c_d_a (-> (-> (-> tptp.c tptp.d) tptp.a) tptp.set_c_d_a Bool)) % 0.83/1.09 (declare-const tptp.pi_c_d_a_a_a (-> tptp.set_c_d (-> (-> tptp.c tptp.d) tptp.set_a_a_a2) tptp.set_c_d_a_a_a2)) % 0.83/1.09 (declare-const tptp.member_a_a_a_a (-> (-> (-> tptp.a tptp.a tptp.a) tptp.a) tptp.set_a_a_a_a4 Bool)) % 0.83/1.09 (declare-const tptp.pi_a_a_a_a_a2 (-> tptp.set_a (-> tptp.a tptp.set_a_a_a_a) tptp.set_a_a_a_a_a)) % 0.83/1.09 (declare-const tptp.maximal_ideal_a_b (-> tptp.carrie1105631105xt_a_b tptp.set_a Bool)) % 0.83/1.09 (declare-const tptp.member_c_d_c_d_a2 (-> (-> (-> tptp.c tptp.d) (-> tptp.c tptp.d) tptp.a) tptp.set_c_d_c_d_a Bool)) % 0.83/1.09 (declare-const tptp.pi_a_a_a_a3 (-> tptp.set_a (-> tptp.a tptp.set_a_a_a2) tptp.set_a_a_a_a2)) % 0.83/1.09 (declare-const tptp.prod_p1466615439xt_a_b (-> tptp.set_c_d (-> (-> tptp.c tptp.d) tptp.carrie1105631105xt_a_b) (-> (-> tptp.c tptp.d) tptp.a) (-> (-> tptp.c tptp.d) tptp.a) (-> tptp.c tptp.d) tptp.a)) % 0.83/1.09 (declare-const tptp.member_a_a_a_a_a3 (-> (-> tptp.a tptp.a tptp.a tptp.a tptp.a) tptp.set_a_a_a_a_a Bool)) % 0.83/1.09 (declare-const tptp.carr_p1636662547_d_a_e (-> tptp.set_c (-> tptp.c tptp.carrie1948989069_d_a_e) tptp.set_c_d)) % 0.83/1.09 (declare-const tptp.pi_c_d_c_d_a (-> tptp.set_c_d (-> (-> tptp.c tptp.d) tptp.set_c_d_a) tptp.set_c_d_c_d_a)) % 0.83/1.09 (declare-const tptp.pi_a_a_a (-> tptp.set_a_a (-> (-> tptp.a tptp.a) tptp.set_a) tptp.set_a_a_a2)) % 0.83/1.09 (declare-const tptp.pi_a_d (-> tptp.set_a (-> tptp.a tptp.set_d) tptp.set_a_d)) % 0.83/1.09 (declare-const tptp.member_a_a_c_d2 (-> (-> tptp.a tptp.a tptp.c tptp.d) tptp.set_a_a_c_d Bool)) % 0.83/1.09 (declare-const tptp.prod_p131511076_d_a_e (-> tptp.set_c (-> tptp.c tptp.carrie1948989069_d_a_e) (-> tptp.c tptp.d) (-> tptp.c tptp.d) tptp.c tptp.d)) % 0.83/1.09 (declare-const tptp.member_a_c_d_a (-> (-> tptp.a (-> tptp.c tptp.d) tptp.a) tptp.set_a_c_d_a Bool)) % 0.83/1.09 (declare-const tptp.pi_a_c_d (-> tptp.set_a (-> tptp.a tptp.set_c_d) tptp.set_a_c_d)) % 0.83/1.09 (declare-const tptp.pi_c_d_a_a (-> tptp.set_c_d (-> (-> tptp.c tptp.d) tptp.set_a_a) tptp.set_c_d_a_a)) % 0.83/1.09 (declare-const tptp.pi_a_a_c_d2 (-> tptp.set_a (-> tptp.a tptp.set_a_c_d) tptp.set_a_a_c_d)) % 0.83/1.09 (declare-const tptp.member_a_a_a_a3 (-> (-> tptp.a (-> tptp.a tptp.a) tptp.a) tptp.set_a_a_a_a2 Bool)) % 0.83/1.09 (declare-const tptp.member_a_c_d (-> (-> tptp.a tptp.c tptp.d) tptp.set_a_c_d Bool)) % 0.83/1.09 (declare-const tptp.aGroup2097840802xt_a_b (-> tptp.carrie1105631105xt_a_b Bool)) % 0.83/1.09 (declare-const tptp.prod_z851058290xt_a_b (-> tptp.set_a (-> tptp.a tptp.carrie1105631105xt_a_b) tptp.a tptp.a)) % 0.83/1.09 (declare-const tptp.algebr1968153176_c_d_e (-> tptp.carrie1105631105xt_a_b tptp.set_c (-> tptp.c tptp.carrie1948989069_d_a_e) tptp.carrie1954260683t_unit)) % 0.83/1.09 (declare-const tptp.pi_c_d_a_a_a2 (-> tptp.set_c_d (-> (-> tptp.c tptp.d) tptp.set_a_a_a) tptp.set_c_d_a_a_a)) % 0.83/1.09 (declare-const tptp.member_a_a_d (-> (-> (-> tptp.a tptp.a) tptp.d) tptp.set_a_a_d Bool)) % 0.83/1.09 (declare-const tptp.carr_p1159644861t_unit (-> tptp.set_d (-> tptp.d tptp.carrie1954260683t_unit) tptp.set_d_c_d)) % 0.83/1.09 (declare-const tptp.pi_c_d_c_d_c_d (-> tptp.set_c_d (-> (-> tptp.c tptp.d) tptp.set_c_d_c_d) tptp.set_c_d_c_d_c_d)) % 0.83/1.09 (declare-const tptp.member_a_a_a2 (-> (-> tptp.a tptp.a tptp.a) tptp.set_a_a_a Bool)) % 0.83/1.09 (declare-const tptp.member_a_a_a_c_d (-> (-> (-> tptp.a tptp.a tptp.a) tptp.c tptp.d) tptp.set_a_a_a_c_d Bool)) % 0.83/1.09 (declare-const tptp.carr_p923087418t_unit (-> tptp.set_a (-> tptp.a tptp.carrie1954260683t_unit) tptp.set_a_c_d)) % 0.83/1.09 (declare-const tptp.member_a_a (-> (-> tptp.a tptp.a) tptp.set_a_a Bool)) % 0.83/1.09 (declare-const tptp.aGroup1940521469_d_a_e (-> tptp.carrie1948989069_d_a_e Bool)) % 0.83/1.09 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 0.83/1.09 (declare-const tptp.member_d (-> tptp.d tptp.set_d Bool)) % 0.83/1.09 (declare-const tptp.pi_a_a_a_a_a (-> tptp.set_a_a_a (-> (-> tptp.a tptp.a tptp.a) tptp.set_a_a) tptp.set_a_a_a_a_a2)) % 0.83/1.09 (declare-const tptp.member_c_d (-> (-> tptp.c tptp.d) tptp.set_c_d Bool)) % 0.83/1.09 (declare-const tptp.pi_c_d (-> tptp.set_c (-> tptp.c tptp.set_d) tptp.set_c_d)) % 0.83/1.09 (declare-const tptp.sr_a_b (-> tptp.carrie1105631105xt_a_b tptp.set_a tptp.carrie1105631105xt_a_b)) % 0.83/1.09 (declare-const tptp.ring_a_b (-> tptp.carrie1105631105xt_a_b Bool)) % 0.83/1.09 (declare-const tptp.i tptp.set_c) % 0.83/1.09 (declare-const tptp.algebr1620716610_d_d_e (-> tptp.carrie1105631105xt_a_b tptp.set_a_a_c_d (-> (-> tptp.a tptp.a tptp.c tptp.d) tptp.carrie1948989069_d_a_e) tptp.a (-> (-> tptp.a tptp.a tptp.c tptp.d) tptp.d) (-> tptp.a tptp.a tptp.c tptp.d) tptp.d)) % 0.83/1.09 (declare-const tptp.carrie20288686t_unit (-> tptp.carrie1954260683t_unit tptp.set_c_d)) % 0.83/1.09 (declare-const tptp.pi_a_a_a2 (-> tptp.set_a (-> tptp.a tptp.set_a_a) tptp.set_a_a_a)) % 0.83/1.09 (declare-const tptp.member_a_c_d_c_d (-> (-> tptp.a (-> tptp.c tptp.d) tptp.c tptp.d) tptp.set_a_c_d_c_d Bool)) % 0.83/1.09 (declare-const tptp.pi_a_a_c_d (-> tptp.set_a_a (-> (-> tptp.a tptp.a) tptp.set_c_d) tptp.set_a_a_c_d2)) % 0.83/1.09 (declare-const tptp.carr_p295160588xt_a_b (-> tptp.set_c (-> tptp.c tptp.carrie1105631105xt_a_b) tptp.set_c_a)) % 0.83/1.09 (declare-const tptp.member_a_a_c_d (-> (-> (-> tptp.a tptp.a) tptp.c tptp.d) tptp.set_a_a_c_d2 Bool)) % 0.83/1.09 (declare-const tptp.pi_a_a_a_a2 (-> tptp.set_a_a (-> (-> tptp.a tptp.a) tptp.set_a_a) tptp.set_a_a_a_a3)) % 0.83/1.09 (declare-const tptp.nscal_a_b (-> tptp.carrie1105631105xt_a_b tptp.a tptp.nat tptp.a)) % 0.83/1.09 (declare-const tptp.member_c_d_a_a_a2 (-> (-> (-> tptp.c tptp.d) tptp.a tptp.a tptp.a) tptp.set_c_d_a_a_a Bool)) % 0.83/1.09 (declare-const tptp.pi_a_c_d_a (-> tptp.set_a (-> tptp.a tptp.set_c_d_a) tptp.set_a_c_d_a)) % 0.83/1.09 (declare-const tptp.member_c_d_a_a (-> (-> (-> tptp.c tptp.d) tptp.a tptp.a) tptp.set_c_d_a_a Bool)) % 0.83/1.09 (declare-const tptp.prod_m2022989242xt_a_b (-> tptp.set_a (-> tptp.a tptp.carrie1105631105xt_a_b) (-> tptp.a tptp.a) tptp.a tptp.a)) % 0.83/1.09 (declare-const tptp.pi_a_a_a_a4 (-> tptp.set_a (-> tptp.a tptp.set_a_a_a) tptp.set_a_a_a_a)) % 0.83/1.09 (declare-const tptp.member_c_d_d (-> (-> (-> tptp.c tptp.d) tptp.d) tptp.set_c_d_d Bool)) % 0.83/1.09 (declare-const tptp.pi_c_d_c_d (-> tptp.set_c_d (-> (-> tptp.c tptp.d) tptp.set_c_d) tptp.set_c_d_c_d)) % 0.83/1.09 (declare-const tptp.carr_p297433675xt_a_b (-> tptp.set_d (-> tptp.d tptp.carrie1105631105xt_a_b) tptp.set_d_a)) % 0.83/1.09 (declare-const tptp.member_c_d_a_a_a (-> (-> (-> tptp.c tptp.d) (-> tptp.a tptp.a) tptp.a) tptp.set_c_d_a_a_a2 Bool)) % 0.83/1.09 (declare-const tptp.member_c_d_c_d_c_d (-> (-> (-> tptp.c tptp.d) (-> tptp.c tptp.d) tptp.c tptp.d) tptp.set_c_d_c_d_c_d Bool)) % 0.83/1.09 (declare-const tptp.carr_p1912941332_d_a_e (-> tptp.set_d (-> tptp.d tptp.carrie1948989069_d_a_e) tptp.set_d_d)) % 0.83/1.09 (declare-const tptp.r tptp.carrie1105631105xt_a_b) % 0.83/1.09 (declare-const tptp.pi_a_a_a_c_d (-> tptp.set_a_a_a (-> (-> tptp.a tptp.a tptp.a) tptp.set_c_d) tptp.set_a_a_a_c_d)) % 0.83/1.09 (declare-const tptp.tp_a_b (-> tptp.carrie1105631105xt_a_b tptp.a tptp.a tptp.a)) % 0.83/1.09 (declare-const tptp.pi_a_c (-> tptp.set_a (-> tptp.a tptp.set_c) tptp.set_a_c)) % 0.83/1.09 (declare-const tptp.prod_z1214987823_d_a_e (-> tptp.set_c (-> tptp.c tptp.carrie1948989069_d_a_e) tptp.c tptp.d)) % 0.83/1.09 (declare-const tptp.member_a_c (-> (-> tptp.a tptp.c) tptp.set_a_c Bool)) % 0.83/1.09 (declare-const tptp.mHom_a_b_d_e_d_e (-> tptp.carrie1105631105xt_a_b tptp.carrie1948989069_d_a_e tptp.carrie1948989069_d_a_e tptp.set_d_d)) % 0.83/1.09 (declare-const tptp.member_d_a (-> (-> tptp.d tptp.a) tptp.set_d_a Bool)) % 0.83/1.09 (declare-const tptp.pop_d_261713874_d_a_e (-> tptp.carrie1948989069_d_a_e tptp.d tptp.d tptp.d)) % 0.83/1.09 (declare-const tptp.pi_d_d (-> tptp.set_d (-> tptp.d tptp.set_d) tptp.set_d_d)) % 0.83/1.09 (declare-const tptp.sprod_d_a_e (-> tptp.carrie1948989069_d_a_e tptp.a tptp.d tptp.d)) % 0.83/1.09 (declare-const tptp.algebr2122715238_a_d_e (-> tptp.carrie1105631105xt_a_b tptp.set_a_a_a_a_a (-> (-> tptp.a tptp.a tptp.a tptp.a tptp.a) tptp.carrie1948989069_d_a_e) tptp.a (-> (-> tptp.a tptp.a tptp.a tptp.a tptp.a) tptp.d) (-> tptp.a tptp.a tptp.a tptp.a tptp.a) tptp.d)) % 0.83/1.09 (declare-const tptp.pop_c_449750139t_unit (-> tptp.carrie1954260683t_unit (-> tptp.c tptp.d) (-> tptp.c tptp.d) tptp.c tptp.d)) % 0.83/1.09 (declare-const tptp.pi_d_c (-> tptp.set_d (-> tptp.d tptp.set_c) tptp.set_d_c)) % 0.83/1.09 (declare-const tptp.module1440397025unit_b (-> tptp.carrie1954260683t_unit tptp.carrie1105631105xt_a_b Bool)) % 0.83/1.09 (declare-const tptp.member_c_c_d (-> (-> tptp.c tptp.c tptp.d) tptp.set_c_c_d Bool)) % 0.83/1.09 (declare-const tptp.member_d_c (-> (-> tptp.d tptp.c) tptp.set_d_c Bool)) % 0.83/1.09 (declare-const tptp.collect_a_a_c_d (-> (-> (-> tptp.a tptp.a tptp.c tptp.d) Bool) tptp.set_a_a_c_d)) % 0.83/1.09 (declare-const tptp.carr_p428609062_d_a_e (-> tptp.set_c_d_c_d (-> (-> (-> tptp.c tptp.d) tptp.c tptp.d) tptp.carrie1948989069_d_a_e) tptp.set_c_d_c_d_d)) % 0.83/1.09 (declare-const tptp.subring_a_b_b (-> tptp.carrie1105631105xt_a_b tptp.carrie1105631105xt_a_b Bool)) % 0.83/1.09 (declare-const tptp.pi_c_a (-> tptp.set_c (-> tptp.c tptp.set_a) tptp.set_c_a)) % 0.83/1.09 (declare-const tptp.module_d_a_e_b (-> tptp.carrie1948989069_d_a_e tptp.carrie1105631105xt_a_b Bool)) % 0.83/1.09 (declare-const tptp.member_c_a (-> (-> tptp.c tptp.a) tptp.set_c_a Bool)) % 0.83/1.09 (declare-const tptp.pi_c_c (-> tptp.set_c (-> tptp.c tptp.set_c) tptp.set_c_c)) % 0.83/1.09 (declare-const tptp.member_c_c (-> (-> tptp.c tptp.c) tptp.set_c_c Bool)) % 0.83/1.09 (declare-const tptp.mHom_a1526663829t_unit (-> tptp.carrie1105631105xt_a_b tptp.carrie1954260683t_unit tptp.carrie1954260683t_unit tptp.set_c_d_c_d)) % 0.83/1.09 (declare-const tptp.j_rad_a_b (-> tptp.carrie1105631105xt_a_b tptp.set_a)) % 0.83/1.09 (declare-const tptp.carr_p290614414xt_a_b (-> tptp.set_a (-> tptp.a tptp.carrie1105631105xt_a_b) tptp.set_a_a)) % 0.83/1.09 (declare-const tptp.carrie11369756_d_a_e (-> tptp.carrie1948989069_d_a_e tptp.set_d)) % 0.83/1.09 (declare-const tptp.member_a_a_a_a_a (-> (-> (-> tptp.a tptp.a tptp.a tptp.a) tptp.a) tptp.set_a_a_a_a_a3 Bool)) % 0.83/1.09 (declare-const tptp.carr_p740328767xt_a_b (-> tptp.set_a_a (-> (-> tptp.a tptp.a) tptp.carrie1105631105xt_a_b) tptp.set_a_a_a2)) % 0.83/1.09 (declare-const tptp.mHom_a764575953it_d_e (-> tptp.carrie1105631105xt_a_b tptp.carrie1954260683t_unit tptp.carrie1948989069_d_a_e tptp.set_c_d_d)) % 0.83/1.09 (declare-const tptp.member_d_c_d (-> (-> tptp.d tptp.c tptp.d) tptp.set_d_c_d Bool)) % 0.83/1.09 (declare-const tptp.member_a_a_a_a2 (-> (-> (-> tptp.a tptp.a) tptp.a tptp.a) tptp.set_a_a_a_a3 Bool)) % 0.83/1.09 (declare-const tptp.carr_p1080792380t_unit (-> tptp.set_c (-> tptp.c tptp.carrie1954260683t_unit) tptp.set_c_c_d)) % 0.83/1.09 (declare-const tptp.member_c_d_c_d (-> (-> (-> tptp.c tptp.d) tptp.c tptp.d) tptp.set_c_d_c_d Bool)) % 0.83/1.09 (declare-const tptp.prod_m854557927_d_a_e (-> tptp.set_c (-> tptp.c tptp.carrie1948989069_d_a_e) (-> tptp.c tptp.d) tptp.c tptp.d)) % 0.83/1.09 (declare-const tptp.member_a_a_a_a4 (-> (-> tptp.a tptp.a tptp.a tptp.a) tptp.set_a_a_a_a Bool)) % 0.83/1.09 (declare-const tptp.prod_p704341949xt_a_b (-> tptp.set_a (-> tptp.a tptp.carrie1105631105xt_a_b) (-> tptp.a tptp.a) (-> tptp.a tptp.a) tptp.a tptp.a)) % 0.83/1.09 (declare-const tptp.member_d_d (-> (-> tptp.d tptp.d) tptp.set_d_d Bool)) % 0.83/1.09 (declare-const tptp.algebr828196337_d_d_e (-> tptp.carrie1105631105xt_a_b tptp.set_c_d_c_d (-> (-> (-> tptp.c tptp.d) tptp.c tptp.d) tptp.carrie1948989069_d_a_e) tptp.a (-> (-> (-> tptp.c tptp.d) tptp.c tptp.d) tptp.d) (-> (-> tptp.c tptp.d) tptp.c tptp.d) tptp.d)) % 0.83/1.09 (declare-const tptp.algebr924632044_d_d_e (-> tptp.carrie1105631105xt_a_b tptp.set_c_d (-> (-> tptp.c tptp.d) tptp.carrie1948989069_d_a_e) tptp.a (-> (-> tptp.c tptp.d) tptp.d) (-> tptp.c tptp.d) tptp.d)) % 0.83/1.09 (declare-const tptp.member_a_a_a_a_a2 (-> (-> (-> tptp.a tptp.a tptp.a) tptp.a tptp.a) tptp.set_a_a_a_a_a2 Bool)) % 0.83/1.09 (declare-const tptp.carr_p124510241_d_a_e (-> tptp.set_c_d (-> (-> tptp.c tptp.d) tptp.carrie1948989069_d_a_e) tptp.set_c_d_d)) % 0.83/1.09 (declare-const tptp.carr_p996491646xt_a_b (-> tptp.set_c_d (-> (-> tptp.c tptp.d) tptp.carrie1105631105xt_a_b) tptp.set_c_d_a)) % 0.83/1.09 (declare-const tptp.member_a_a_c_d_d (-> (-> (-> tptp.a tptp.a tptp.c tptp.d) tptp.d) tptp.set_a_a_c_d_d Bool)) % 0.83/1.09 (declare-const tptp.algebr1655014672_a_d_e (-> tptp.carrie1105631105xt_a_b tptp.set_a_a_a (-> (-> tptp.a tptp.a tptp.a) tptp.carrie1948989069_d_a_e) tptp.a (-> (-> tptp.a tptp.a tptp.a) tptp.d) (-> tptp.a tptp.a tptp.a) tptp.d)) % 0.83/1.09 (declare-const tptp.carr_p305487606_d_a_e (-> tptp.set_a_a_a_a (-> (-> tptp.a tptp.a tptp.a tptp.a) tptp.carrie1948989069_d_a_e) tptp.set_a_a_a_a_d)) % 0.83/1.09 (declare-const tptp.member_c_d_c_d_d (-> (-> (-> (-> tptp.c tptp.d) tptp.c tptp.d) tptp.d) tptp.set_c_d_c_d_d Bool)) % 0.83/1.09 (declare-const tptp.carr_p1364179431_d_a_e (-> tptp.set_a_a_a (-> (-> tptp.a tptp.a tptp.a) tptp.carrie1948989069_d_a_e) tptp.set_a_a_a_d)) % 0.83/1.09 (declare-const tptp.algebr417875517_d_d_e (-> tptp.carrie1105631105xt_a_b tptp.set_d (-> tptp.d tptp.carrie1948989069_d_a_e) tptp.a (-> tptp.d tptp.d) tptp.d tptp.d)) % 0.83/1.09 (declare-const tptp.algebr137561451_a_d_e (-> tptp.carrie1105631105xt_a_b tptp.set_a_a (-> (-> tptp.a tptp.a) tptp.carrie1948989069_d_a_e) tptp.a (-> (-> tptp.a tptp.a) tptp.d) (-> tptp.a tptp.a) tptp.d)) % 0.83/1.09 (declare-const tptp.carr_p1646427936_d_a_e (-> tptp.set_a_a (-> (-> tptp.a tptp.a) tptp.carrie1948989069_d_a_e) tptp.set_a_a_d)) % 0.83/1.09 (declare-const tptp.algebr2109842362_a_d_e (-> tptp.carrie1105631105xt_a_b tptp.set_a (-> tptp.a tptp.carrie1948989069_d_a_e) tptp.a (-> tptp.a tptp.d) tptp.a tptp.d)) % 0.83/1.09 (declare-const tptp.member_a_a_a_d (-> (-> (-> tptp.a tptp.a tptp.a) tptp.d) tptp.set_a_a_a_d Bool)) % 0.83/1.09 (declare-const tptp.carr_p1084104977_d_a_e (-> tptp.set_a (-> tptp.a tptp.carrie1948989069_d_a_e) tptp.set_a_d)) % 0.83/1.09 (declare-const tptp.carr_p109409832xt_a_b (-> tptp.set_a_a_c_d (-> (-> tptp.a tptp.a tptp.c tptp.d) tptp.carrie1105631105xt_a_b) tptp.set_a_a_c_d_a)) % 0.83/1.09 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 0.83/1.09 (declare-const tptp.carr_p1980447933_d_a_e (-> tptp.set_a_a_a_a_a (-> (-> tptp.a tptp.a tptp.a tptp.a tptp.a) tptp.carrie1948989069_d_a_e) tptp.set_a_a_a_a_a_d)) % 0.83/1.09 (declare-const tptp.member_a_a_a_a_a_d (-> (-> (-> tptp.a tptp.a tptp.a tptp.a tptp.a) tptp.d) tptp.set_a_a_a_a_a_d Bool)) % 0.83/1.09 (declare-const tptp.member_c (-> tptp.c tptp.set_c Bool)) % 0.83/1.09 (declare-const tptp.algebr303206081_a_d_e (-> tptp.carrie1105631105xt_a_b tptp.set_a_a_a_a (-> (-> tptp.a tptp.a tptp.a tptp.a) tptp.carrie1948989069_d_a_e) tptp.a (-> (-> tptp.a tptp.a tptp.a tptp.a) tptp.d) (-> tptp.a tptp.a tptp.a tptp.a) tptp.d)) % 0.83/1.09 (declare-const tptp.sr_a_b2 (-> tptp.carrie1105631105xt_a_b tptp.set_a Bool)) % 0.83/1.09 (declare-const tptp.carr_d56066307_d_a_e (-> tptp.set_c (-> tptp.c tptp.carrie1948989069_d_a_e) tptp.set_c_d)) % 0.83/1.09 (declare-const tptp.collect_d (-> (-> tptp.d Bool) tptp.set_d)) % 0.83/1.09 (declare-const tptp.carr_p577380087_d_a_e (-> tptp.set_a_a_c_d (-> (-> tptp.a tptp.a tptp.c tptp.d) tptp.carrie1948989069_d_a_e) tptp.set_a_a_c_d_d)) % 0.83/1.09 (declare-const tptp.collect_c (-> (-> tptp.c Bool) tptp.set_c)) % 0.83/1.09 (define @t1 () (@var "C" tptp.set_d)) % 0.83/1.09 (define @t2 () (@list (@var "Uu" tptp.c))) % 0.83/1.09 (define @t3 () (@var "B" tptp.set_c)) % 0.83/1.09 (define @t4 () (_ tptp.pi_c_d @t3)) % 0.83/1.09 (define @t5 () (_ @t4 (lambda @t2 @t1))) % 0.83/1.09 (define @t6 () (@var "A2" tptp.a)) % 0.83/1.09 (define @t7 () (@var "F" (-> tptp.a tptp.c tptp.d))) % 0.83/1.09 (define @t8 () (_ @t7 @t6)) % 0.83/1.09 (define @t9 () (@var "A" tptp.set_a)) % 0.83/1.09 (define @t10 () (_ tptp.member_a @t6)) % 0.83/1.09 (define @t11 () (_ @t10 @t9)) % 0.83/1.09 (define @t12 () (_ @t4 (lambda (@list (@var "Uv" tptp.c)) @t1))) % 0.83/1.09 (define @t13 () (@list (@var "Uu" tptp.a))) % 0.83/1.09 (define @t14 () (_ tptp.pi_a_c_d @t9)) % 0.83/1.09 (define @t15 () (_ tptp.member_a_c_d @t7)) % 0.83/1.09 (define @t16 () (@var "C" tptp.set_a)) % 0.83/1.09 (define @t17 () (@var "B" tptp.set_a)) % 0.83/1.09 (define @t18 () (_ tptp.pi_a_a @t17)) % 0.83/1.09 (define @t19 () (_ @t18 (lambda @t13 @t16))) % 0.83/1.09 (define @t20 () (@var "F" (-> tptp.a tptp.a tptp.a))) % 0.83/1.09 (define @t21 () (_ @t20 @t6)) % 0.83/1.09 (define @t22 () (@list (@var "Uv" tptp.a))) % 0.83/1.09 (define @t23 () (_ @t18 (lambda @t22 @t16))) % 0.83/1.09 (define @t24 () (_ tptp.pi_a_a_a2 @t9)) % 0.83/1.09 (define @t25 () (_ tptp.member_a_a_a2 @t20)) % 0.83/1.09 (define @t26 () (_ @t25 (_ @t24 (lambda @t13 @t23)))) % 0.83/1.09 (define @t27 () (@var "A2" (-> tptp.c tptp.d))) % 0.83/1.09 (define @t28 () (@var "F" (-> (-> tptp.c tptp.d) tptp.a tptp.a))) % 0.83/1.09 (define @t29 () (_ @t28 @t27)) % 0.83/1.09 (define @t30 () (@var "A" tptp.set_c_d)) % 0.83/1.09 (define @t31 () (_ tptp.member_c_d @t27)) % 0.83/1.09 (define @t32 () (_ @t31 @t30)) % 0.83/1.09 (define @t33 () (@list (@var "Uu" (-> tptp.c tptp.d)))) % 0.83/1.09 (define @t34 () (_ tptp.pi_c_d_a_a @t30)) % 0.83/1.09 (define @t35 () (_ tptp.member_c_d_a_a @t28)) % 0.83/1.09 (define @t36 () (_ @t35 (_ @t34 (lambda @t33 @t23)))) % 0.83/1.09 (define @t37 () (@var "A2" (-> tptp.a tptp.a))) % 0.83/1.09 (define @t38 () (@var "F" (-> (-> tptp.a tptp.a) tptp.c tptp.d))) % 0.83/1.09 (define @t39 () (@var "A" tptp.set_a_a)) % 0.83/1.09 (define @t40 () (_ tptp.member_a_a @t37)) % 0.83/1.09 (define @t41 () (_ @t40 @t39)) % 0.83/1.09 (define @t42 () (@list (@var "Uu" (-> tptp.a tptp.a)))) % 0.83/1.09 (define @t43 () (_ tptp.pi_a_a_c_d @t39)) % 0.83/1.09 (define @t44 () (_ tptp.member_a_a_c_d @t38)) % 0.83/1.09 (define @t45 () (@var "F" (-> (-> tptp.a tptp.a) tptp.a tptp.a))) % 0.83/1.09 (define @t46 () (_ @t45 @t37)) % 0.83/1.09 (define @t47 () (_ (_ tptp.member_a_a_a_a2 @t45) (_ (_ tptp.pi_a_a_a_a2 @t39) (lambda @t42 @t23)))) % 0.83/1.09 (define @t48 () (@var "C" tptp.set_a_a)) % 0.83/1.09 (define @t49 () (_ tptp.pi_a_a_a2 @t17)) % 0.83/1.09 (define @t50 () (_ @t49 (lambda @t13 @t48))) % 0.83/1.09 (define @t51 () (@var "F" (-> tptp.a tptp.a tptp.a tptp.a))) % 0.83/1.09 (define @t52 () (_ @t51 @t6)) % 0.83/1.09 (define @t53 () (_ @t49 (lambda @t22 @t48))) % 0.83/1.09 (define @t54 () (_ tptp.pi_a_a_a_a4 @t9)) % 0.83/1.09 (define @t55 () (_ tptp.member_a_a_a_a4 @t51)) % 0.83/1.09 (define @t56 () (_ @t55 (_ @t54 (lambda @t13 @t53)))) % 0.83/1.09 (define @t57 () (@var "F" (-> (-> tptp.c tptp.d) tptp.c tptp.d))) % 0.83/1.09 (define @t58 () (_ @t57 @t27)) % 0.83/1.09 (define @t59 () (_ tptp.pi_c_d_c_d @t30)) % 0.83/1.09 (define @t60 () (_ tptp.member_c_d_c_d @t57)) % 0.83/1.09 (define @t61 () (_ @t60 (_ @t59 (lambda @t33 @t12)))) % 0.83/1.09 (define @t62 () (@var "F" (-> (-> tptp.c tptp.d) tptp.a tptp.a tptp.a))) % 0.83/1.09 (define @t63 () (@var "A2" (-> tptp.a tptp.a tptp.a))) % 0.83/1.09 (define @t64 () (@var "F" (-> (-> tptp.a tptp.a tptp.a) tptp.c tptp.d))) % 0.83/1.09 (define @t65 () (@var "A" tptp.set_a_a_a)) % 0.83/1.09 (define @t66 () (_ tptp.member_a_a_a2 @t63)) % 0.83/1.09 (define @t67 () (_ @t66 @t65)) % 0.83/1.09 (define @t68 () (@list (@var "Uu" (-> tptp.a tptp.a tptp.a)))) % 0.83/1.09 (define @t69 () (@var "F" (-> (-> tptp.a tptp.a tptp.a) tptp.a tptp.a))) % 0.83/1.09 (define @t70 () (@var "B2" tptp.a)) % 0.83/1.09 (define @t71 () (_ tptp.member_a @t70)) % 0.83/1.09 (define @t72 () (_ @t71 @t17)) % 0.83/1.09 (define @t73 () (@var "B2" (-> tptp.c tptp.d))) % 0.83/1.09 (define @t74 () (@var "F" (-> tptp.a (-> tptp.c tptp.d) tptp.a))) % 0.83/1.09 (define @t75 () (@var "B" tptp.set_c_d)) % 0.83/1.09 (define @t76 () (_ tptp.member_c_d @t73)) % 0.83/1.09 (define @t77 () (_ @t76 @t75)) % 0.83/1.09 (define @t78 () (@list (@var "Uv" (-> tptp.c tptp.d)))) % 0.83/1.09 (define @t79 () (_ (_ tptp.pi_c_d_a @t75) (lambda @t78 @t16))) % 0.83/1.09 (define @t80 () (@var "B2" (-> tptp.a tptp.a))) % 0.83/1.09 (define @t81 () (@var "F" (-> tptp.a (-> tptp.a tptp.a) tptp.a))) % 0.83/1.09 (define @t82 () (@var "B" tptp.set_a_a)) % 0.83/1.09 (define @t83 () (_ tptp.member_a_a @t80)) % 0.83/1.09 (define @t84 () (_ @t83 @t82)) % 0.83/1.09 (define @t85 () (_ (_ tptp.pi_a_a_a @t82) (lambda (@list (@var "Uv" (-> tptp.a tptp.a))) @t16))) % 0.83/1.09 (define @t86 () (@var "C" tptp.set_c_d)) % 0.83/1.09 (define @t87 () (@var "F" (-> tptp.a tptp.a tptp.c tptp.d))) % 0.83/1.09 (define @t88 () (_ @t87 @t6)) % 0.83/1.09 (define @t89 () (_ tptp.pi_a_a_c_d2 @t9)) % 0.83/1.09 (define @t90 () (_ tptp.member_a_a_c_d2 @t87)) % 0.83/1.09 (define @t91 () (@var "B2" tptp.c)) % 0.83/1.09 (define @t92 () (@var "F" (-> (-> tptp.c tptp.d) (-> tptp.c tptp.d) tptp.a))) % 0.83/1.09 (define @t93 () (@var "F" (-> (-> tptp.c tptp.d) (-> tptp.a tptp.a) tptp.a))) % 0.83/1.09 (define @t94 () (@var "B" (-> tptp.c tptp.set_d))) % 0.83/1.09 (define @t95 () (@var "A" tptp.set_c)) % 0.83/1.09 (define @t96 () (_ tptp.pi_c_d @t95)) % 0.83/1.09 (define @t97 () (_ @t96 @t94)) % 0.83/1.09 (define @t98 () (@var "F" (-> tptp.c tptp.d))) % 0.83/1.09 (define @t99 () (_ tptp.member_c_d @t98)) % 0.83/1.09 (define @t100 () (_ @t99 @t97)) % 0.83/1.09 (define @t101 () (@var "X" tptp.c)) % 0.83/1.09 (define @t102 () (_ tptp.member_d (_ @t98 @t101))) % 0.83/1.09 (define @t103 () (_ tptp.member_c @t101)) % 0.83/1.09 (define @t104 () (_ @t103 @t95)) % 0.83/1.09 (define @t105 () (@list @t101)) % 0.83/1.09 (define @t106 () (@var "B" (-> tptp.a tptp.set_a))) % 0.83/1.09 (define @t107 () (_ tptp.pi_a_a @t9)) % 0.83/1.09 (define @t108 () (_ @t107 @t106)) % 0.83/1.09 (define @t109 () (@var "F" (-> tptp.a tptp.a))) % 0.83/1.09 (define @t110 () (_ tptp.member_a_a @t109)) % 0.83/1.09 (define @t111 () (_ @t110 @t108)) % 0.83/1.09 (define @t112 () (@var "X" tptp.a)) % 0.83/1.09 (define @t113 () (_ tptp.member_a (_ @t109 @t112))) % 0.83/1.09 (define @t114 () (_ tptp.member_a @t112)) % 0.83/1.09 (define @t115 () (_ @t114 @t9)) % 0.83/1.09 (define @t116 () (@list @t112)) % 0.83/1.09 (define @t117 () (@var "B" (-> (-> tptp.c tptp.d) tptp.set_a))) % 0.83/1.09 (define @t118 () (_ tptp.pi_c_d_a @t30)) % 0.83/1.09 (define @t119 () (@var "F" (-> (-> tptp.c tptp.d) tptp.a))) % 0.83/1.09 (define @t120 () (_ tptp.member_c_d_a @t119)) % 0.83/1.09 (define @t121 () (_ @t120 (_ @t118 @t117))) % 0.83/1.09 (define @t122 () (@var "X" (-> tptp.c tptp.d))) % 0.83/1.09 (define @t123 () (_ tptp.member_a (_ @t119 @t122))) % 0.83/1.09 (define @t124 () (_ tptp.member_c_d @t122)) % 0.83/1.09 (define @t125 () (_ @t124 @t30)) % 0.83/1.09 (define @t126 () (@list @t122)) % 0.83/1.09 (define @t127 () (@var "B" (-> (-> tptp.a tptp.a) tptp.set_a))) % 0.83/1.09 (define @t128 () (_ tptp.pi_a_a_a @t39)) % 0.83/1.09 (define @t129 () (@var "F" (-> (-> tptp.a tptp.a) tptp.a))) % 0.83/1.09 (define @t130 () (_ tptp.member_a_a_a @t129)) % 0.83/1.09 (define @t131 () (@var "X" (-> tptp.a tptp.a))) % 0.83/1.09 (define @t132 () (_ tptp.member_a (_ @t129 @t131))) % 0.83/1.09 (define @t133 () (_ tptp.member_a_a @t131)) % 0.83/1.09 (define @t134 () (_ @t133 @t39)) % 0.83/1.09 (define @t135 () (@list @t131)) % 0.83/1.09 (define @t136 () (@var "B" (-> tptp.a tptp.set_c_d))) % 0.83/1.09 (define @t137 () (_ @t14 @t136)) % 0.83/1.09 (define @t138 () (_ @t15 @t137)) % 0.83/1.09 (define @t139 () (_ tptp.member_c_d (_ @t7 @t112))) % 0.83/1.09 (define @t140 () (@var "B" (-> tptp.a tptp.set_a_a))) % 0.83/1.09 (define @t141 () (_ @t24 @t140)) % 0.83/1.09 (define @t142 () (_ @t25 @t141)) % 0.83/1.09 (define @t143 () (_ tptp.member_a_a (_ @t20 @t112))) % 0.83/1.09 (define @t144 () (@var "B" (-> (-> tptp.c tptp.d) tptp.set_c_d))) % 0.83/1.09 (define @t145 () (_ @t59 @t144)) % 0.83/1.09 (define @t146 () (_ @t60 @t145)) % 0.83/1.09 (define @t147 () (_ tptp.member_c_d (_ @t57 @t122))) % 0.83/1.09 (define @t148 () (@var "B" (-> (-> tptp.c tptp.d) tptp.set_a_a))) % 0.83/1.09 (define @t149 () (_ tptp.member_a_a (_ @t28 @t122))) % 0.83/1.09 (define @t150 () (@var "B" (-> (-> tptp.a tptp.a tptp.a) tptp.set_a))) % 0.83/1.09 (define @t151 () (_ tptp.pi_a_a_a_a @t65)) % 0.83/1.09 (define @t152 () (@var "F" (-> (-> tptp.a tptp.a tptp.a) tptp.a))) % 0.83/1.09 (define @t153 () (_ tptp.member_a_a_a_a @t152)) % 0.83/1.09 (define @t154 () (@var "X" (-> tptp.a tptp.a tptp.a))) % 0.83/1.09 (define @t155 () (_ tptp.member_a (_ @t152 @t154))) % 0.83/1.09 (define @t156 () (_ tptp.member_a_a_a2 @t154)) % 0.83/1.09 (define @t157 () (_ @t156 @t65)) % 0.83/1.09 (define @t158 () (@list @t154)) % 0.83/1.09 (define @t159 () (@var "B" (-> (-> tptp.a tptp.a) tptp.set_c_d))) % 0.83/1.09 (define @t160 () (_ tptp.member_c_d (_ @t38 @t131))) % 0.83/1.09 (define @t161 () (@var "M" (-> tptp.c tptp.carrie1948989069_d_a_e))) % 0.83/1.09 (define @t162 () (@var "I" tptp.set_c)) % 0.83/1.09 (define @t163 () (_ tptp.carr_p1636662547_d_a_e @t162)) % 0.83/1.09 (define @t164 () (_ @t163 @t161)) % 0.83/1.09 (define @t165 () (@var "M2" (-> tptp.c tptp.d))) % 0.83/1.09 (define @t166 () (_ (_ (_ (_ (_ tptp.algebr1697692348_c_d_e tptp.r) @t162) @t161) @t6) @t165)) % 0.83/1.09 (define @t167 () (_ tptp.member_c_d @t165)) % 0.83/1.09 (define @t168 () (_ @t167 @t164)) % 0.83/1.09 (define @t169 () (_ tptp.carrie867757212xt_a_b tptp.r)) % 0.83/1.09 (define @t170 () (_ @t10 @t169)) % 0.83/1.09 (define @t171 () (_ tptp.module_d_a_e_b (_ @t161 @t101))) % 0.83/1.09 (define @t172 () (_ @t103 @t162)) % 0.83/1.09 (define @t173 () (forall @t105 (=> @t172 (_ @t171 tptp.r)))) % 0.83/1.09 (define @t174 () (_ tptp.carrie20288686t_unit (_ (_ (_ tptp.algebr1968153176_c_d_e tptp.r) @t162) @t161))) % 0.83/1.09 (define @t175 () (_ @t14 (lambda @t13 @t75))) % 0.83/1.09 (define @t176 () (@var "G" (-> tptp.a tptp.c tptp.d))) % 0.83/1.09 (define @t177 () (_ tptp.member_a_c_d @t176)) % 0.83/1.09 (define @t178 () (_ @t177 @t175)) % 0.83/1.09 (define @t179 () (= @t7 @t176)) % 0.83/1.09 (define @t180 () (_ @t15 @t175)) % 0.83/1.09 (define @t181 () (@var "B" tptp.set_a_c_d_c_d)) % 0.83/1.09 (define @t182 () (_ tptp.pi_a_a_c_d_c_d @t9)) % 0.83/1.09 (define @t183 () (_ @t182 (lambda @t13 @t181))) % 0.83/1.09 (define @t184 () (@var "G" (-> tptp.a tptp.a (-> tptp.c tptp.d) tptp.c tptp.d))) % 0.83/1.09 (define @t185 () (_ tptp.member_a_a_c_d_c_d @t184)) % 0.83/1.09 (define @t186 () (_ @t185 @t183)) % 0.83/1.09 (define @t187 () (@var "F" (-> tptp.a tptp.a (-> tptp.c tptp.d) tptp.c tptp.d))) % 0.83/1.09 (define @t188 () (= @t187 @t184)) % 0.83/1.09 (define @t189 () (_ tptp.member_a_a_c_d_c_d @t187)) % 0.83/1.09 (define @t190 () (_ @t189 @t183)) % 0.83/1.09 (define @t191 () (@var "B" tptp.set_a_c_d)) % 0.83/1.09 (define @t192 () (_ @t89 (lambda @t13 @t191))) % 0.83/1.09 (define @t193 () (@var "G" (-> tptp.a tptp.a tptp.c tptp.d))) % 0.83/1.09 (define @t194 () (_ tptp.member_a_a_c_d2 @t193)) % 0.83/1.09 (define @t195 () (_ @t194 @t192)) % 0.83/1.09 (define @t196 () (= @t87 @t193)) % 0.83/1.09 (define @t197 () (_ @t90 @t192)) % 0.83/1.09 (define @t198 () (@var "B" tptp.set_a_a_a_a)) % 0.83/1.09 (define @t199 () (_ tptp.pi_a_a_a_a_a2 @t9)) % 0.83/1.09 (define @t200 () (_ @t199 (lambda @t13 @t198))) % 0.83/1.09 (define @t201 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(_ tptp.carr_p297433675xt_a_b @t354) @t351)) % 0.83/1.09 (define @t357 () (@var "I2" tptp.c)) % 0.83/1.09 (define @t358 () (@var "A" (-> tptp.c tptp.carrie1105631105xt_a_b))) % 0.83/1.09 (define @t359 () (_ @t358 @t357)) % 0.83/1.09 (define @t360 () (@var "A2" (-> tptp.c tptp.a))) % 0.83/1.09 (define @t361 () (_ (_ tptp.member_c @t357) @t162)) % 0.83/1.09 (define @t362 () (_ (_ tptp.carr_p295160588xt_a_b @t162) @t358)) % 0.83/1.09 (define @t363 () (@var "I2" tptp.a)) % 0.83/1.09 (define @t364 () (_ @t332 @t363)) % 0.83/1.09 (define @t365 () (_ (_ tptp.member_a @t363) @t330)) % 0.83/1.09 (define @t366 () (_ @t40 @t333)) % 0.83/1.09 (define @t367 () (_ @t305 @t357)) % 0.83/1.09 (define @t368 () (_ @t31 @t306)) % 0.83/1.09 (define @t369 () (@var "I2" (-> tptp.c tptp.d))) % 0.83/1.09 (define @t370 () (@var "A" (-> (-> tptp.c tptp.d) tptp.carrie1105631105xt_a_b))) % 0.83/1.09 (define @t371 () (_ @t370 @t369)) % 0.83/1.09 (define @t372 () (@var "A2" (-> (-> tptp.c tptp.d) tptp.a))) % 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@t260))) % 0.83/1.09 (define @t470 () (_ @t301 (_ @t300 @t468))) % 0.83/1.09 (define @t471 () (@list @t298 @t95 @t468 @t260)) % 0.83/1.09 (define @t472 () (_ @t302 (_ @t94 @t260))) % 0.83/1.09 (define @t473 () (@list @t98 @t95 @t94 @t260)) % 0.83/1.09 (define @t474 () (_ @t303 (_ @t106 @t253))) % 0.83/1.09 (define @t475 () (@list @t109 @t9 @t106 @t253)) % 0.83/1.09 (define @t476 () (@var "X4" (-> tptp.a tptp.set_a_c_d_c_d))) % 0.83/1.09 (define @t477 () (_ tptp.member_a @t267)) % 0.83/1.09 (define @t478 () (_ @t477 @t330)) % 0.83/1.09 (define @t479 () (@var "X4" (-> (-> tptp.c tptp.d) tptp.set_c_d_c_d))) % 0.83/1.09 (define @t480 () (_ tptp.member_c_d @t265)) % 0.83/1.09 (define @t481 () (_ @t480 @t373)) % 0.83/1.09 (define @t482 () (@list @t265)) % 0.83/1.09 (define @t483 () (@var "X4" (-> tptp.a tptp.set_c_d))) % 0.83/1.09 (define @t484 () (@var "X4" (-> (-> tptp.c tptp.d) tptp.set_c_d))) % 0.83/1.09 (define @t485 () (@var "X3" tptp.c)) % 0.83/1.09 (define @t486 () (@var "X4" (-> tptp.c tptp.set_d))) % 0.83/1.09 (define @t487 () (_ tptp.member_c @t485)) % 0.83/1.09 (define @t488 () (@list @t485)) % 0.83/1.09 (define @t489 () (@var "X4" (-> tptp.a tptp.set_a_a))) % 0.83/1.09 (define @t490 () (@var "X4" (-> tptp.a tptp.set_a))) % 0.83/1.09 (define @t491 () (@var "X4" (-> tptp.a tptp.set_a_c_d))) % 0.83/1.09 (define @t492 () (@var "X4" (-> tptp.a tptp.set_a_a_a_a))) % 0.83/1.09 (define @t493 () (@var "X4" (-> tptp.a tptp.set_a_a_a))) % 0.83/1.09 (define @t494 () (@var "X" tptp.d)) % 0.83/1.09 (define @t495 () (_ tptp.member_d @t494)) % 0.83/1.09 (define @t496 () (_ @t495 @t281)) % 0.83/1.09 (define @t497 () (@list @t494)) % 0.83/1.09 (define @t498 () (not @t282)) % 0.83/1.09 (define @t499 () (not @t262)) % 0.83/1.09 (define @t500 () (not @t256)) % 0.83/1.09 (define @t501 () (@var "S" tptp.carrie1105631105xt_a_b)) % 0.83/1.09 (define @t502 () (_ tptp.carrie867757212xt_a_b @t501)) % 0.83/1.09 (define @t503 () (_ (_ tptp.subring_a_b_b tptp.r) @t501)) % 0.83/1.09 (define @t504 () (@var "J" (-> (-> tptp.c tptp.d) tptp.c tptp.d))) % 0.83/1.09 (define @t505 () (@var "M2" (-> (-> (-> tptp.c tptp.d) tptp.c tptp.d) tptp.d))) % 0.83/1.09 (define @t506 () (@var "M" (-> (-> (-> tptp.c tptp.d) tptp.c tptp.d) tptp.carrie1948989069_d_a_e))) % 0.83/1.09 (define @t507 () (_ (_ (_ tptp.sprod_d_a_e (_ @t506 @t504)) @t6) (_ @t505 @t504))) % 0.83/1.09 (define @t508 () (@var "I" tptp.set_c_d_c_d)) % 0.83/1.09 (define @t509 () (_ (_ tptp.member_c_d_c_d @t504) @t508)) % 0.83/1.09 (define @t510 () (_ (_ tptp.member_c_d_c_d_d @t505) (_ (_ tptp.carr_p428609062_d_a_e @t508) @t506))) % 0.83/1.09 (define @t511 () (@var "X" (-> (-> tptp.c tptp.d) tptp.c tptp.d))) % 0.83/1.09 (define @t512 () (_ tptp.module_d_a_e_b (_ @t506 @t511))) % 0.83/1.09 (define @t513 () (_ (_ tptp.member_c_d_c_d @t511) @t508)) % 0.83/1.09 (define @t514 () (@list @t511)) % 0.83/1.09 (define @t515 () (@var "J" (-> tptp.c tptp.d))) % 0.83/1.09 (define @t516 () (@var "M2" (-> (-> tptp.c tptp.d) tptp.d))) % 0.83/1.09 (define @t517 () (@var "M" (-> (-> tptp.c tptp.d) tptp.carrie1948989069_d_a_e))) % 0.83/1.09 (define @t518 () (_ (_ (_ tptp.sprod_d_a_e (_ @t517 @t515)) @t6) (_ @t516 @t515))) % 0.83/1.09 (define @t519 () (_ (_ tptp.member_c_d @t515) @t373)) % 0.83/1.09 (define @t520 () (_ (_ tptp.member_c_d_d @t516) (_ (_ tptp.carr_p124510241_d_a_e @t373) @t517))) % 0.83/1.09 (define @t521 () (_ tptp.module_d_a_e_b (_ @t517 @t122))) % 0.83/1.09 (define @t522 () (_ @t124 @t373)) % 0.83/1.09 (define @t523 () (@var "J" (-> tptp.a tptp.a tptp.a))) % 0.83/1.09 (define @t524 () (@var "M2" (-> (-> tptp.a tptp.a tptp.a) tptp.d))) % 0.83/1.09 (define @t525 () (@var "M" (-> (-> tptp.a tptp.a tptp.a) tptp.carrie1948989069_d_a_e))) % 0.83/1.09 (define @t526 () (_ (_ (_ tptp.sprod_d_a_e (_ @t525 @t523)) @t6) (_ @t524 @t523))) % 0.83/1.09 (define @t527 () (_ (_ tptp.member_a_a_a2 @t523) @t387)) % 0.83/1.09 (define @t528 () (_ (_ tptp.member_a_a_a_d @t524) (_ (_ tptp.carr_p1364179431_d_a_e @t387) @t525))) % 0.83/1.09 (define @t529 () (_ tptp.module_d_a_e_b (_ @t525 @t154))) % 0.83/1.09 (define @t530 () (_ @t156 @t387)) % 0.83/1.09 (define @t531 () (@var "J" (-> tptp.a tptp.a))) % 0.83/1.09 (define @t532 () (@var "M2" (-> (-> tptp.a tptp.a) tptp.d))) % 0.83/1.09 (define @t533 () (@var "M" (-> (-> tptp.a tptp.a) tptp.carrie1948989069_d_a_e))) % 0.83/1.09 (define @t534 () (_ (_ (_ tptp.sprod_d_a_e (_ @t533 @t531)) @t6) (_ @t532 @t531))) % 0.83/1.09 (define @t535 () (_ (_ tptp.member_a_a @t531) @t380)) % 0.83/1.09 (define @t536 () (_ (_ tptp.member_a_a_d @t532) (_ (_ tptp.carr_p1646427936_d_a_e @t380) @t533))) % 0.83/1.09 (define @t537 () (_ tptp.module_d_a_e_b (_ @t533 @t131))) % 0.83/1.09 (define @t538 () (_ @t133 @t380)) % 0.83/1.09 (define @t539 () (@var "J" tptp.a)) % 0.83/1.09 (define @t540 () (@var "M2" (-> tptp.a tptp.d))) % 0.83/1.09 (define @t541 () (@var "M" (-> tptp.a tptp.carrie1948989069_d_a_e))) % 0.83/1.09 (define @t542 () (_ (_ (_ tptp.sprod_d_a_e (_ @t541 @t539)) @t6) (_ @t540 @t539))) % 0.83/1.09 (define @t543 () (_ (_ tptp.member_a @t539) @t330)) % 0.83/1.09 (define @t544 () (_ (_ tptp.member_a_d @t540) (_ (_ tptp.carr_p1084104977_d_a_e @t330) @t541))) % 0.83/1.09 (define @t545 () (_ tptp.module_d_a_e_b (_ @t541 @t112))) % 0.83/1.09 (define @t546 () (@var "J" (-> tptp.a tptp.a tptp.c tptp.d))) % 0.83/1.09 (define @t547 () (@var "M2" (-> (-> tptp.a tptp.a tptp.c tptp.d) tptp.d))) % 0.83/1.09 (define @t548 () (@var "M" (-> (-> tptp.a tptp.a tptp.c tptp.d) tptp.carrie1948989069_d_a_e))) % 0.83/1.09 (define @t549 () (_ (_ (_ tptp.sprod_d_a_e (_ @t548 @t546)) @t6) (_ @t547 @t546))) % 0.83/1.09 (define @t550 () (@var "I" tptp.set_a_a_c_d)) % 0.83/1.09 (define @t551 () (_ (_ tptp.member_a_a_c_d2 @t546) @t550)) % 0.83/1.09 (define @t552 () (_ (_ tptp.member_a_a_c_d_d @t547) (_ (_ tptp.carr_p577380087_d_a_e @t550) @t548))) % 0.83/1.09 (define @t553 () (@var "X" (-> tptp.a tptp.a tptp.c tptp.d))) % 0.83/1.09 (define @t554 () (_ tptp.module_d_a_e_b (_ @t548 @t553))) % 0.83/1.09 (define @t555 () (_ (_ tptp.member_a_a_c_d2 @t553) @t550)) % 0.83/1.09 (define @t556 () (@list @t553)) % 0.83/1.09 (define @t557 () (@var "J" (-> tptp.a tptp.a tptp.a tptp.a tptp.a))) % 0.83/1.09 (define @t558 () (@var "M2" (-> (-> tptp.a tptp.a tptp.a tptp.a tptp.a) tptp.d))) % 0.83/1.09 (define @t559 () (@var "M" (-> (-> tptp.a tptp.a tptp.a tptp.a tptp.a) tptp.carrie1948989069_d_a_e))) % 0.83/1.09 (define @t560 () (_ (_ (_ tptp.sprod_d_a_e (_ @t559 @t557)) @t6) (_ @t558 @t557))) % 0.83/1.09 (define @t561 () (@var "I" tptp.set_a_a_a_a_a)) % 0.83/1.09 (define @t562 () (_ (_ tptp.member_a_a_a_a_a3 @t557) @t561)) % 0.83/1.09 (define @t563 () (_ (_ tptp.member_a_a_a_a_a_d @t558) (_ (_ tptp.carr_p1980447933_d_a_e @t561) @t559))) % 0.83/1.09 (define @t564 () (@var "X" (-> tptp.a tptp.a tptp.a tptp.a tptp.a))) % 0.83/1.09 (define @t565 () (_ tptp.module_d_a_e_b (_ @t559 @t564))) % 0.83/1.09 (define @t566 () (_ (_ tptp.member_a_a_a_a_a3 @t564) @t561)) % 0.83/1.09 (define @t567 () (@list @t564)) % 0.83/1.09 (define @t568 () (@var "J" (-> tptp.a tptp.a tptp.a tptp.a))) % 0.83/1.09 (define @t569 () (@var "M2" (-> (-> tptp.a tptp.a tptp.a tptp.a) tptp.d))) % 0.83/1.09 (define @t570 () (@var "M" (-> (-> tptp.a tptp.a tptp.a tptp.a) tptp.carrie1948989069_d_a_e))) % 0.83/1.09 (define @t571 () (_ (_ (_ tptp.sprod_d_a_e (_ @t570 @t568)) @t6) (_ @t569 @t568))) % 0.83/1.09 (define @t572 () (@var "I" tptp.set_a_a_a_a)) % 0.83/1.09 (define @t573 () (_ (_ tptp.member_a_a_a_a4 @t568) @t572)) % 0.83/1.09 (define @t574 () (_ (_ tptp.member_a_a_a_a_d @t569) (_ (_ tptp.carr_p305487606_d_a_e @t572) @t570))) % 0.83/1.09 (define @t575 () (@var "X" (-> tptp.a tptp.a tptp.a tptp.a))) % 0.83/1.09 (define @t576 () (_ tptp.module_d_a_e_b (_ @t570 @t575))) % 0.83/1.09 (define @t577 () (_ (_ tptp.member_a_a_a_a4 @t575) @t572)) % 0.83/1.09 (define @t578 () (@list @t575)) % 0.83/1.09 (define @t579 () (@var "J" tptp.d)) % 0.83/1.09 (define @t580 () (@var "M2" (-> tptp.d tptp.d))) % 0.83/1.09 (define @t581 () (@var "M" (-> tptp.d tptp.carrie1948989069_d_a_e))) % 0.83/1.09 (define @t582 () (_ (_ (_ tptp.sprod_d_a_e (_ @t581 @t579)) @t6) (_ @t580 @t579))) % 0.83/1.09 (define @t583 () (_ (_ tptp.member_d @t579) @t354)) % 0.83/1.09 (define @t584 () (_ (_ tptp.member_d_d @t580) (_ (_ tptp.carr_p1912941332_d_a_e @t354) @t581))) % 0.83/1.09 (define @t585 () (_ tptp.module_d_a_e_b (_ @t581 @t494))) % 0.83/1.09 (define @t586 () (_ @t495 @t354)) % 0.83/1.09 (define @t587 () (@var "J" tptp.c)) % 0.83/1.09 (define @t588 () (_ (_ (_ tptp.sprod_d_a_e (_ @t161 @t587)) @t6) (_ @t165 @t587))) % 0.83/1.09 (define @t589 () (_ (_ tptp.member_c @t587) @t162)) % 0.83/1.09 (define @t590 () (@var "S" tptp.set_a)) % 0.83/1.09 (define @t591 () (_ (_ tptp.sr_a_b2 tptp.r) @t590)) % 0.83/1.09 (define @t592 () (@list @t590)) % 0.83/1.09 (define @t593 () (@var "N" tptp.carrie1954260683t_unit)) % 0.83/1.09 (define @t594 () (@var "M" tptp.carrie1954260683t_unit)) % 0.83/1.09 (define @t595 () (_ tptp.carrie20288686t_unit @t594)) % 0.83/1.09 (define @t596 () (_ @t60 (_ (_ tptp.pi_c_d_c_d @t595) (lambda @t33 (_ tptp.carrie20288686t_unit @t593))))) % 0.83/1.09 (define @t597 () (_ (_ tptp.carr_d56066307_d_a_e @t162) @t305)) % 0.83/1.09 (define @t598 () (_ tptp.pi_c_d_c_d @t597)) % 0.83/1.09 (define @t599 () (@var "P" (-> tptp.a Bool))) % 0.83/1.09 (define @t600 () (@var "A2" tptp.d)) % 0.83/1.09 (define @t601 () (@var "P" (-> tptp.d Bool))) % 0.83/1.09 (define @t602 () (@var "P" (-> tptp.c Bool))) % 0.83/1.09 (define @t603 () (@var "A2" tptp.nat)) % 0.83/1.09 (define @t604 () (@var "P" (-> tptp.nat Bool))) % 0.83/1.09 (define @t605 () (_ tptp.collect_nat @t604)) % 0.83/1.09 (define @t606 () (@var "P" (-> (-> tptp.c tptp.d) Bool))) % 0.83/1.09 (define @t607 () (@var "P" (-> (-> tptp.a tptp.a) Bool))) % 0.83/1.09 (define @t608 () (@var "P" (-> (-> tptp.a tptp.a tptp.a) Bool))) % 0.83/1.09 (define @t609 () (@var "A2" (-> (-> tptp.c tptp.d) tptp.c tptp.d))) % 0.83/1.09 (define @t610 () (@var "P" (-> (-> (-> tptp.c tptp.d) tptp.c tptp.d) Bool))) % 0.83/1.09 (define @t611 () (@var "A2" (-> tptp.a tptp.a tptp.c tptp.d))) % 0.83/1.09 (define @t612 () (@var "P" (-> (-> tptp.a tptp.a tptp.c tptp.d) Bool))) % 0.83/1.09 (define @t613 () (@var "A2" (-> tptp.a tptp.a tptp.a tptp.a))) % 0.83/1.09 (define @t614 () (@var "P" (-> (-> tptp.a tptp.a tptp.a tptp.a) Bool))) % 0.83/1.09 (define @t615 () (@var "X3" tptp.d)) % 0.83/1.09 (define @t616 () (@var "A" tptp.set_nat)) % 0.83/1.09 (define @t617 () (@var "X3" tptp.nat)) % 0.83/1.09 (define @t618 () (@var "X3" (-> tptp.a tptp.a))) % 0.83/1.09 (define @t619 () (@var "X3" (-> tptp.a tptp.a tptp.a))) % 0.83/1.09 (define @t620 () (@var "A" tptp.set_c_d_c_d)) % 0.83/1.09 (define @t621 () (@var "X3" (-> (-> tptp.c tptp.d) tptp.c tptp.d))) % 0.83/1.09 (define @t622 () (@var "A" tptp.set_a_a_c_d)) % 0.83/1.09 (define @t623 () (@var "X3" (-> tptp.a tptp.a tptp.c tptp.d))) % 0.83/1.09 (define @t624 () (@var "A" tptp.set_a_a_a_a)) % 0.83/1.09 (define @t625 () (@var "X3" (-> tptp.a tptp.a tptp.a tptp.a))) % 0.83/1.09 (define @t626 () (@var "Q" (-> tptp.nat Bool))) % 0.83/1.09 (define @t627 () (@var "X" tptp.nat)) % 0.83/1.09 (define @t628 () (@var "N2" tptp.nat)) % 0.83/1.09 (define @t629 () (@var "Y2" tptp.a)) % 0.83/1.09 (define @t630 () (_ tptp.nscal_a_b tptp.r)) % 0.83/1.09 (define @t631 () (_ (_ @t630 @t629) @t628)) % 0.83/1.09 (define @t632 () (_ @t630 @t253)) % 0.83/1.09 (define @t633 () (_ @t632 @t628)) % 0.83/1.09 (define @t634 () (= @t253 @t629)) % 0.83/1.09 (define @t635 () (_ tptp.member_a @t629)) % 0.83/1.09 (define @t636 () (_ @t635 @t169)) % 0.83/1.09 (define @t637 () (@list @t253 @t629 @t628)) % 0.83/1.09 (define @t638 () (_ tptp.pi_a_a @t169)) % 0.83/1.09 (define @t639 () (_ (_ tptp.pi_a_a_a2 @t169) (lambda @t13 (_ @t638 (lambda @t22 @t169))))) % 0.83/1.09 (define @t640 () (_ tptp.tp_a_b tptp.r)) % 0.83/1.09 (define @t641 () (_ tptp.pop_a_Ring_ext_a_b tptp.r)) % 0.83/1.09 (define @t642 () (@var "Z" tptp.a)) % 0.83/1.09 (define @t643 () (_ @t640 @t629)) % 0.83/1.09 (define @t644 () (_ @t643 @t642)) % 0.83/1.09 (define @t645 () (_ @t640 @t253)) % 0.83/1.09 (define @t646 () (_ @t645 @t642)) % 0.83/1.09 (define @t647 () (_ tptp.member_a @t642)) % 0.83/1.09 (define @t648 () (_ @t647 @t169)) % 0.83/1.09 (define @t649 () (@list @t253 @t629 @t642)) % 0.83/1.09 (define @t650 () (_ @t645 @t644)) % 0.83/1.09 (define @t651 () (_ @t645 @t629)) % 0.83/1.09 (define @t652 () (_ @t640 @t651)) % 0.83/1.09 (define @t653 () (_ tptp.member_a @t651)) % 0.83/1.09 (define @t654 () (@list @t253 @t629)) % 0.83/1.09 (define @t655 () (_ @t643 @t253)) % 0.83/1.09 (define @t656 () (@var "Ya" tptp.a)) % 0.83/1.09 (define @t657 () (@var "Xa" tptp.a)) % 0.83/1.09 (define @t658 () (_ tptp.member_a @t656)) % 0.83/1.09 (define @t659 () (_ tptp.member_a @t657)) % 0.83/1.09 (define @t660 () (@var "C2" tptp.a)) % 0.83/1.09 (define @t661 () (_ @t640 @t70)) % 0.83/1.09 (define @t662 () (_ @t640 @t6)) % 0.83/1.09 (define @t663 () (_ @t662 @t70)) % 0.83/1.09 (define @t664 () (_ tptp.member_a @t660)) % 0.83/1.09 (define @t665 () (_ @t664 @t169)) % 0.83/1.09 (define @t666 () (_ @t71 @t169)) % 0.83/1.09 (define @t667 () (@list @t6 @t70 @t660)) % 0.83/1.09 (define @t668 () (@list @t6 @t70)) % 0.83/1.09 (define @t669 () (_ @t641 @t70)) % 0.83/1.09 (define @t670 () (_ @t669 @t660)) % 0.83/1.09 (define @t671 () (_ @t641 @t6)) % 0.83/1.09 (define @t672 () (_ @t671 @t70)) % 0.83/1.09 (define @t673 () (_ @t635 @t590)) % 0.83/1.09 (define @t674 () (_ @t255 @t590)) % 0.83/1.09 (define @t675 () (@list @t590 @t253 @t629)) % 0.83/1.09 (define @t676 () (_ (_ @t641 @t253) @t629)) % 0.83/1.09 (define @t677 () (_ @t641 @t663)) % 0.83/1.09 (define @t678 () (_ (_ @t641 @t629) @t642)) % 0.83/1.09 (define @t679 () (@list @t6 @t70 @t253 @t629)) % 0.83/1.09 (define @t680 () (_ @t641 @t633)) % 0.83/1.09 (define @t681 () (_ @t71 @t502)) % 0.83/1.09 (define @t682 () (_ @t10 @t502)) % 0.83/1.09 (define @t683 () (@list @t501 @t6 @t70)) % 0.83/1.09 (define @t684 () (_ (_ (_ tptp.pop_a_Ring_ext_a_b @t501) @t6) @t70)) % 0.83/1.09 (define @t685 () (@var "T" tptp.a)) % 0.83/1.09 (define @t686 () (@var "S2" tptp.a)) % 0.83/1.09 (define @t687 () (_ (_ tptp.mul_closed_set_a_b tptp.r) @t590)) % 0.83/1.09 (define @t688 () (_ tptp.tp_a_b @t323)) % 0.83/1.09 (define @t689 () (_ @t688 @t253)) % 0.83/1.09 (define @t690 () (_ @t689 @t629)) % 0.83/1.09 (define @t691 () (_ tptp.member_a @t690)) % 0.83/1.09 (define @t692 () (_ (_ tptp.sr_a_b2 @t323) @t590)) % 0.83/1.09 (define @t693 () (@list @t323 @t590 @t253 @t629)) % 0.83/1.09 (define @t694 () (_ tptp.pop_a_Ring_ext_a_b @t323)) % 0.83/1.09 (define @t695 () (_ (_ @t694 @t253) @t629)) % 0.83/1.09 (define @t696 () (_ @t688 @t70)) % 0.83/1.09 (define @t697 () (_ @t688 @t6)) % 0.83/1.09 (define @t698 () (_ @t694 @t6)) % 0.83/1.09 (define @t699 () (_ @t698 @t70)) % 0.83/1.09 (define @t700 () (_ @t635 @t401)) % 0.83/1.09 (define @t701 () (_ @t255 @t401)) % 0.83/1.09 (define @t702 () (_ @t71 @t401)) % 0.83/1.09 (define @t703 () (_ @t688 @t629)) % 0.83/1.09 (define @t704 () (_ @t703 @t253)) % 0.83/1.09 (define @t705 () (_ (_ @t694 @t629) @t642)) % 0.83/1.09 (define @t706 () (_ @t647 @t401)) % 0.83/1.09 (define @t707 () (@list @t323 @t253 @t629 @t642)) % 0.83/1.09 (define @t708 () (_ @t689 @t642)) % 0.83/1.09 (define @t709 () (_ @t697 @t70)) % 0.83/1.09 (define @t710 () (_ @t694 @t70)) % 0.83/1.09 (define @t711 () (_ @t710 @t660)) % 0.83/1.09 (define @t712 () (_ @t664 @t401)) % 0.83/1.09 (define @t713 () (@list @t323 @t6 @t70 @t660)) % 0.83/1.09 (define @t714 () (_ tptp.nscal_a_b @t323)) % 0.83/1.09 (define @t715 () (_ (_ @t714 @t629) @t628)) % 0.83/1.09 (define @t716 () (@list @t323 @t253 @t629 @t628)) % 0.83/1.09 (define @t717 () (_ (_ @t714 @t253) @t628)) % 0.83/1.09 (define @t718 () (@var "A" tptp.carrie1105631105xt_a_b)) % 0.83/1.09 (define @t719 () (_ tptp.pop_a_Ring_ext_a_b @t718)) % 0.83/1.09 (define @t720 () (_ @t719 @t629)) % 0.83/1.09 (define @t721 () (_ @t719 @t253)) % 0.83/1.09 (define @t722 () (_ @t721 @t629)) % 0.83/1.09 (define @t723 () (_ tptp.carrie867757212xt_a_b @t718)) % 0.83/1.09 (define @t724 () (_ @t635 @t723)) % 0.83/1.09 (define @t725 () (_ @t255 @t723)) % 0.83/1.09 (define @t726 () (_ tptp.aGroup2097840802xt_a_b @t718)) % 0.83/1.09 (define @t727 () (@list @t718 @t253 @t629)) % 0.83/1.09 (define @t728 () (@var "Y2" (-> tptp.c tptp.d))) % 0.83/1.09 (define @t729 () (@var "A" tptp.carrie1954260683t_unit)) % 0.83/1.09 (define @t730 () (_ tptp.pop_c_449750139t_unit @t729)) % 0.83/1.09 (define @t731 () (_ @t730 @t728)) % 0.83/1.09 (define @t732 () (_ @t730 @t257)) % 0.83/1.09 (define @t733 () (_ @t732 @t728)) % 0.83/1.09 (define @t734 () (_ tptp.carrie20288686t_unit @t729)) % 0.83/1.09 (define @t735 () (_ (_ tptp.member_c_d @t728) @t734)) % 0.83/1.09 (define @t736 () (_ @t258 @t734)) % 0.83/1.09 (define @t737 () (_ tptp.aGroup2131905830t_unit @t729)) % 0.83/1.09 (define @t738 () (@list @t729 @t257 @t728)) % 0.83/1.09 (define @t739 () (_ @t719 @t70)) % 0.83/1.09 (define @t740 () (_ @t719 @t6)) % 0.83/1.09 (define @t741 () (_ @t740 @t70)) % 0.83/1.09 (define @t742 () (_ @t71 @t723)) % 0.83/1.09 (define @t743 () (_ @t10 @t723)) % 0.83/1.09 (define @t744 () (_ @t730 @t73)) % 0.83/1.09 (define @t745 () (_ @t730 @t27)) % 0.83/1.09 (define @t746 () (_ @t745 @t73)) % 0.83/1.09 (define @t747 () (_ @t76 @t734)) % 0.83/1.09 (define @t748 () (_ @t31 @t734)) % 0.83/1.09 (define @t749 () (@var "D" tptp.a)) % 0.83/1.09 (define @t750 () (_ @t739 @t660)) % 0.83/1.09 (define @t751 () (_ @t740 @t750)) % 0.83/1.09 (define @t752 () (_ (_ @t719 @t751) @t749)) % 0.83/1.09 (define @t753 () (_ @t719 @t660)) % 0.83/1.09 (define @t754 () (_ @t719 @t741)) % 0.83/1.09 (define @t755 () (_ @t754 (_ @t753 @t749))) % 0.83/1.09 (define @t756 () (_ (_ tptp.member_a @t749) @t723)) % 0.83/1.09 (define @t757 () (_ @t664 @t723)) % 0.83/1.09 (define @t758 () (@list @t718 @t6 @t70 @t660 @t749)) % 0.83/1.09 (define @t759 () (@var "D" (-> tptp.c tptp.d))) % 0.83/1.09 (define @t760 () (_ @t744 @t413)) % 0.83/1.09 (define @t761 () (_ @t745 @t760)) % 0.83/1.09 (define @t762 () (_ (_ @t730 @t761) @t759)) % 0.83/1.09 (define @t763 () (_ @t730 @t413)) % 0.83/1.09 (define @t764 () (_ @t730 @t746)) % 0.83/1.09 (define @t765 () (_ @t764 (_ @t763 @t759))) % 0.83/1.09 (define @t766 () (_ (_ tptp.member_c_d @t759) @t734)) % 0.83/1.09 (define @t767 () (_ @t414 @t734)) % 0.83/1.09 (define @t768 () (@list @t729 @t27 @t73 @t413 @t759)) % 0.83/1.09 (define @t769 () (_ @t754 @t660)) % 0.83/1.09 (define @t770 () (_ (_ @t719 @t769) @t749)) % 0.83/1.09 (define @t771 () (_ @t764 @t413)) % 0.83/1.09 (define @t772 () (_ (_ @t730 @t771) @t759)) % 0.83/1.09 (define @t773 () (= @t6 @t70)) % 0.83/1.09 (define @t774 () (_ @t740 @t660)) % 0.83/1.09 (define @t775 () (= @t774 @t750)) % 0.83/1.09 (define @t776 () (@list @t718 @t6 @t70 @t660)) % 0.83/1.09 (define @t777 () (= @t27 @t73)) % 0.83/1.09 (define @t778 () (_ @t745 @t413)) % 0.83/1.09 (define @t779 () (= @t778 @t760)) % 0.83/1.09 (define @t780 () (@list @t729 @t27 @t73 @t413)) % 0.83/1.09 (define @t781 () (= (_ @t753 @t6) (_ @t753 @t70))) % 0.83/1.09 (define @t782 () (= (_ @t763 @t27) (_ @t763 @t73))) % 0.83/1.09 (define @t783 () (@var "Z" (-> tptp.c tptp.d))) % 0.83/1.09 (define @t784 () (@var "R2" tptp.a)) % 0.83/1.09 (define @t785 () (@var "R1" tptp.a)) % 0.83/1.09 (define @t786 () (@var "L2" tptp.a)) % 0.83/1.09 (define @t787 () (@var "L1" tptp.a)) % 0.83/1.09 (define @t788 () (_ (_ tptp.member_a @t785) @t723)) % 0.83/1.09 (define @t789 () (@var "R2" (-> tptp.c tptp.d))) % 0.83/1.09 (define @t790 () (@var "R1" (-> tptp.c tptp.d))) % 0.83/1.09 (define @t791 () (@var "L2" (-> tptp.c tptp.d))) % 0.83/1.09 (define @t792 () (@var "L1" (-> tptp.c tptp.d))) % 0.83/1.09 (define @t793 () (_ (_ tptp.member_c_d @t790) @t734)) % 0.83/1.09 (define @t794 () (@list @t323 @t253 @t629)) % 0.83/1.09 (define @t795 () (_ @t703 @t642)) % 0.83/1.09 (define @t796 () (_ @t689 @t795)) % 0.83/1.09 (define @t797 () (_ @t688 @t690)) % 0.83/1.09 (define @t798 () (@list @t323 @t6 @t70)) % 0.83/1.09 (define @t799 () (@var "Y" (-> tptp.d tptp.a))) % 0.83/1.09 (define @t800 () (@var "X4" (-> tptp.d tptp.a))) % 0.83/1.09 (define @t801 () (@var "Y" (-> tptp.c tptp.a))) % 0.83/1.09 (define @t802 () (@var "X4" (-> tptp.c tptp.a))) % 0.83/1.09 (define @t803 () (@var "Y" (-> (-> tptp.c tptp.d) tptp.a))) % 0.83/1.09 (define @t804 () (@var "X4" (-> (-> tptp.c tptp.d) tptp.a))) % 0.83/1.09 (define @t805 () (@var "Y" (-> (-> tptp.a tptp.a) tptp.a))) % 0.83/1.09 (define @t806 () (@var "X4" (-> (-> tptp.a tptp.a) tptp.a))) % 0.83/1.09 (define @t807 () (@var "Y" (-> (-> tptp.a tptp.a tptp.a) tptp.a))) % 0.83/1.09 (define @t808 () (@var "X4" (-> (-> tptp.a tptp.a tptp.a) tptp.a))) % 0.83/1.09 (define @t809 () (@var "I2" (-> (-> tptp.c tptp.d) tptp.c tptp.d))) % 0.83/1.09 (define @t810 () (@var "Y" (-> (-> (-> tptp.c tptp.d) tptp.c tptp.d) tptp.a))) % 0.83/1.09 (define @t811 () (@var "X4" (-> (-> (-> tptp.c tptp.d) tptp.c tptp.d) tptp.a))) % 0.83/1.09 (define @t812 () (@var "A" (-> (-> (-> tptp.c tptp.d) tptp.c tptp.d) tptp.carrie1105631105xt_a_b))) % 0.83/1.09 (define @t813 () (_ (_ tptp.carr_p1617094073xt_a_b @t508) @t812)) % 0.83/1.09 (define @t814 () (@var "I2" (-> tptp.a tptp.a tptp.c tptp.d))) % 0.83/1.09 (define @t815 () (@var "Y" (-> (-> tptp.a tptp.a tptp.c tptp.d) tptp.a))) % 0.83/1.09 (define @t816 () (@var "X4" (-> (-> tptp.a tptp.a tptp.c tptp.d) tptp.a))) % 0.83/1.09 (define @t817 () (@var "A" (-> (-> tptp.a tptp.a tptp.c tptp.d) tptp.carrie1105631105xt_a_b))) % 0.83/1.09 (define @t818 () (_ (_ tptp.carr_p109409832xt_a_b @t550) @t817)) % 0.83/1.09 (define @t819 () (@var "I2" (-> tptp.a tptp.a tptp.a tptp.a))) % 0.83/1.09 (define @t820 () (@var "Y" (-> (-> tptp.a tptp.a tptp.a tptp.a) tptp.a))) % 0.83/1.09 (define @t821 () (@var "X4" (-> (-> tptp.a tptp.a tptp.a tptp.a) tptp.a))) % 0.83/1.09 (define @t822 () (@var "A" (-> (-> tptp.a tptp.a tptp.a tptp.a) tptp.carrie1105631105xt_a_b))) % 0.83/1.09 (define @t823 () (_ (_ tptp.carr_p1850824937xt_a_b @t572) @t822)) % 0.83/1.09 (define @t824 () (_ (_ tptp.carr_d267359390xt_a_b @t330) @t332)) % 0.83/1.09 (define @t825 () (_ @t336 @t824)) % 0.83/1.09 (define @t826 () (_ @t344 @t597)) % 0.83/1.09 (define @t827 () (_ (_ tptp.pi_a_a_a2 @t401) (lambda @t13 (_ (_ tptp.pi_a_a @t401) (lambda @t22 @t401))))) % 0.83/1.09 (define @t828 () (_ tptp.zeroring_a_b tptp.r)) % 0.83/1.09 (define @t829 () (@var "M2" tptp.d)) % 0.83/1.09 (define @t830 () (@var "N" tptp.carrie1948989069_d_a_e)) % 0.83/1.09 (define @t831 () (_ (_ tptp.sprod_d_a_e @t830) @t6)) % 0.83/1.09 (define @t832 () (@var "M" tptp.carrie1948989069_d_a_e)) % 0.83/1.09 (define @t833 () (_ tptp.sprod_d_a_e @t832)) % 0.83/1.09 (define @t834 () (_ @t833 @t6)) % 0.83/1.09 (define @t835 () (_ (_ tptp.member_d @t829) (_ tptp.carrie11369756_d_a_e @t832))) % 0.83/1.09 (define @t836 () (_ (_ tptp.module_d_a_e_b @t830) @t323)) % 0.83/1.09 (define @t837 () (_ (_ tptp.module_d_a_e_b @t832) @t323)) % 0.83/1.09 (define @t838 () (@var "F" (-> (-> tptp.c tptp.d) tptp.d))) % 0.83/1.09 (define @t839 () (_ tptp.sprod_1929599593t_unit @t594)) % 0.83/1.09 (define @t840 () (_ @t839 @t6)) % 0.83/1.09 (define @t841 () (_ @t167 @t595)) % 0.83/1.09 (define @t842 () (_ (_ tptp.module1440397025unit_b @t594) @t323)) % 0.83/1.09 (define @t843 () (@var "M2" tptp.nat)) % 0.83/1.09 (define @t844 () (@var "C2" tptp.nat)) % 0.83/1.09 (define @t845 () (@var "B2" tptp.nat)) % 0.83/1.09 (define @t846 () (@var "X_1" tptp.set_a)) % 0.83/1.09 (define @t847 () (_ tptp.maximal_ideal_a_b tptp.r)) % 0.83/1.09 (define @t848 () (@var "X_12" tptp.set_a)) % 0.83/1.09 (define @t849 () (not @t828)) % 0.83/1.09 (define @t850 () (_ tptp.mop_a_Ring_ext_a_b tptp.r)) % 0.83/1.09 (define @t851 () (_ @t850 @t253)) % 0.83/1.09 (define @t852 () (_ @t850 @t70)) % 0.83/1.09 (define @t853 () (_ @t850 @t663)) % 0.83/1.09 (define @t854 () (= @t853 (_ @t662 @t852))) % 0.83/1.09 (define @t855 () (_ @t850 @t6)) % 0.83/1.09 (define @t856 () (_ @t640 @t855)) % 0.83/1.09 (define @t857 () (= @t853 (_ @t856 @t70))) % 0.83/1.09 (define @t858 () (@var "Mx" tptp.set_a)) % 0.83/1.09 (define @t859 () (_ tptp.unit_a_b tptp.r)) % 0.83/1.09 (define @t860 () (@list @t6)) % 0.83/1.09 (define @t861 () (@var "J2" tptp.set_a)) % 0.83/1.09 (define @t862 () (_ tptp.member_a @t672)) % 0.83/1.09 (define @t863 () (_ (_ (_ tptp.sum_mult_a_b tptp.r) @t9) @t17)) % 0.83/1.09 (define @t864 () (_ (_ tptp.ord_less_eq_set_a @t17) @t169)) % 0.83/1.09 (define @t865 () (_ (_ tptp.ord_less_eq_set_a @t9) @t169)) % 0.83/1.09 (define @t866 () (@list @t9 @t17 @t6 @t70)) % 0.83/1.09 (define @t867 () (@var "K" tptp.nat)) % 0.83/1.09 (define @t868 () (@var "I2" tptp.nat)) % 0.83/1.09 (define @t869 () (@var "J" tptp.nat)) % 0.83/1.09 (define @t870 () (@var "Y3" tptp.a)) % 0.83/1.09 (define @t871 () (_ tptp.un_a_b tptp.r)) % 0.83/1.09 (define @t872 () (_ tptp.member_a @t871)) % 0.83/1.09 (define @t873 () (@var "Mx2" tptp.set_a)) % 0.83/1.09 (define @t874 () (_ @t847 @t873)) % 0.83/1.09 (define @t875 () (@list @t873)) % 0.83/1.09 (define @t876 () (_ @t640 @t871)) % 0.83/1.09 (define @t877 () (_ @t850 @t871)) % 0.83/1.09 (define @t878 () (@var "Q2" tptp.set_a)) % 0.83/1.09 (define @t879 () (@list @t628)) % 0.83/1.09 (define @t880 () (@var "I3" tptp.nat)) % 0.83/1.09 (define @t881 () (_ tptp.collect_nat (lambda (@list @t880) (_ (_ tptp.ord_less_eq_nat @t880) @t628)))) % 0.83/1.09 (define @t882 () (@var "X2" tptp.nat)) % 0.83/1.09 (define @t883 () (@var "X5" tptp.c)) % 0.83/1.09 (define @t884 () (@var "A3" (-> tptp.c tptp.d))) % 0.83/1.09 (define @t885 () (_ (_ tptp.prod_z1214987823_d_a_e tptp.i) tptp.m)) % 0.83/1.09 (define @t886 () (_ (_ tptp.prod_p131511076_d_a_e tptp.i) tptp.m)) % 0.83/1.09 (define @t887 () (_ @t886 @t885)) % 0.83/1.09 (define @t888 () (_ @t887 @t884)) % 0.83/1.09 (define @t889 () (_ (_ tptp.carr_p1636662547_d_a_e tptp.i) tptp.m)) % 0.83/1.09 (define @t890 () (_ tptp.member_c_d @t884)) % 0.83/1.09 (define @t891 () (_ @t890 @t889)) % 0.83/1.09 (define @t892 () (=> @t891 (= @t888 @t884))) % 0.83/1.09 (define @t893 () (@list @t884)) % 0.83/1.09 (define @t894 () (forall @t893 @t892)) % 0.83/1.09 (define @t895 () (_ tptp.member_c_d @t885)) % 0.83/1.09 (define @t896 () (_ @t895 @t889)) % 0.83/1.09 (define @t897 () (_ (_ tptp.prod_m854557927_d_a_e tptp.i) tptp.m)) % 0.83/1.09 (define @t898 () (_ tptp.pi_c_d_c_d @t889)) % 0.83/1.09 (define @t899 () (@var "B3" (-> tptp.c tptp.d))) % 0.83/1.09 (define @t900 () (_ @t886 @t899)) % 0.83/1.09 (define @t901 () (_ @t886 @t884)) % 0.83/1.09 (define @t902 () (_ @t901 @t899)) % 0.83/1.09 (define @t903 () (= @t902 (_ @t900 @t884))) % 0.83/1.09 (define @t904 () (_ tptp.member_c_d @t899)) % 0.83/1.09 (define @t905 () (_ @t904 @t889)) % 0.83/1.09 (define @t906 () (@list @t899)) % 0.83/1.09 (define @t907 () (forall @t906 (=> @t905 @t903))) % 0.83/1.09 (define @t908 () (=> @t891 @t907)) % 0.83/1.09 (define @t909 () (forall @t893 @t908)) % 0.83/1.09 (define @t910 () (@var "C3" (-> tptp.c tptp.d))) % 0.83/1.09 (define @t911 () (@var "A4" (-> tptp.c tptp.d))) % 0.83/1.09 (define @t912 () (_ (_ @t886 @t911) @t885)) % 0.83/1.09 (define @t913 () (_ tptp.member_c_d @t911)) % 0.83/1.09 (define @t914 () (_ @t913 @t889)) % 0.83/1.09 (define @t915 () (not @t914)) % 0.83/1.09 (define @t916 () (or @t915 (= @t912 @t911))) % 0.83/1.09 (define @t917 () (@list @t911)) % 0.83/1.09 (define @t918 () (forall @t917 @t916)) % 0.83/1.09 (define @t919 () (not @t918)) % 0.83/1.09 (define @t920 () (@var "BOUND_VARIABLE_18168" (-> tptp.c tptp.d))) % 0.83/1.09 (define @t921 () (= (_ @t901 @t920) (_ (_ @t886 @t920) @t884))) % 0.83/1.09 (define @t922 () (tptp.carr_p1636662547_d_a_e tptp.i tptp.m)) % 0.83/1.09 (define @t923 () (not (tptp.member_c_d @t920 @t922))) % 0.83/1.09 (define @t924 () (tptp.member_c_d @t884 @t922)) % 0.83/1.09 (define @t925 () (not @t924)) % 0.83/1.09 (define @t926 () (or @t923 @t921)) % 0.83/1.09 (define @t927 () (or @t925 @t926)) % 0.83/1.09 (define @t928 () (forall (@list @t884 @t920) @t927)) % 0.83/1.09 (define @t929 () (@list @t920)) % 0.83/1.09 (define @t930 () (forall @t929 @t927)) % 0.83/1.09 (define @t931 () (forall @t929 @t926)) % 0.83/1.09 (define @t932 () (or @t925 @t931)) % 0.83/1.09 (define @t933 () (tptp.member_c_d @t899 @t922)) % 0.83/1.09 (define @t934 () (forall @t906 (or (not @t933) @t903))) % 0.83/1.09 (define @t935 () (not @t891)) % 0.83/1.09 (define @t936 () (or @t935 @t934)) % 0.83/1.09 (define @t937 () (not @t905)) % 0.83/1.09 (define @t938 () (or @t937 @t903)) % 0.83/1.09 (define @t939 () (= @t911 @t912)) % 0.83/1.09 (define @t940 () (tptp.member_c_d @t911 @t922)) % 0.83/1.09 (define @t941 () (@quantifiers_skolemize (forall @t917 (or (not @t940) @t939)) 0)) % 0.83/1.09 (define @t942 () (or @t915 @t939)) % 0.83/1.09 (define @t943 () (tptp.member_c_d @t941 @t922)) % 0.83/1.09 (define @t944 () (_ (_ @t886 @t941) @t885)) % 0.83/1.09 (define @t945 () (= @t941 @t944)) % 0.83/1.09 (define @t946 () (not @t943)) % 0.83/1.09 (define @t947 () (or @t946 @t945)) % 0.83/1.09 (define @t948 () (@list true)) % 0.83/1.09 (define @t949 () (@list @t947)) % 0.83/1.09 (define @t950 () (tptp.member_c_d @t885 @t922)) % 0.83/1.09 (define @t951 () (_ @t887 @t941)) % 0.83/1.09 (define @t952 () (= @t944 @t951)) % 0.83/1.09 (define @t953 () (not @t950)) % 0.83/1.09 (define @t954 () (or @t946 @t953 @t952)) % 0.83/1.09 (define @t955 () (= @t884 @t888)) % 0.83/1.09 (define @t956 () (or @t935 @t955)) % 0.83/1.09 (define @t957 () (= @t941 @t951)) % 0.83/1.09 (define @t958 () (or @t946 @t957)) % 0.83/1.09 (assume @p1 (_ tptp.ring_a_b tptp.r)) % 0.83/1.09 (assume @p2 (forall (@list @t7 @t9 @t3 @t1 @t6) (=> (_ @t15 (_ @t14 (lambda @t13 @t12))) (=> @t11 (_ (_ tptp.member_c_d @t8) @t5))))) % 0.83/1.09 (assume @p3 (forall (@list @t20 @t9 @t17 @t16 @t6) (=> @t26 (=> @t11 (_ (_ tptp.member_a_a @t21) @t19))))) % 0.83/1.09 (assume @p4 (forall (@list @t28 @t30 @t17 @t16 @t27) (=> @t36 (=> @t32 (_ (_ tptp.member_a_a @t29) @t19))))) % 0.83/1.09 (assume @p5 (forall (@list @t38 @t39 @t3 @t1 @t37) (=> (_ @t44 (_ @t43 (lambda @t42 @t12))) (=> @t41 (_ (_ tptp.member_c_d (_ @t38 @t37)) @t5))))) % 0.83/1.09 (assume @p6 (forall (@list @t45 @t39 @t17 @t16 @t37) (=> @t47 (=> @t41 (_ (_ tptp.member_a_a @t46) @t19))))) % 0.83/1.09 (assume @p7 (forall (@list @t51 @t9 @t17 @t48 @t6) (=> @t56 (=> @t11 (_ (_ tptp.member_a_a_a2 @t52) @t50))))) % 0.83/1.09 (assume @p8 (forall (@list @t57 @t30 @t3 @t1 @t27) (=> @t61 (=> @t32 (_ (_ tptp.member_c_d @t58) @t5))))) % 0.83/1.09 (assume @p9 (forall (@list @t62 @t30 @t17 @t48 @t27) (=> (_ (_ tptp.member_c_d_a_a_a2 @t62) (_ (_ tptp.pi_c_d_a_a_a2 @t30) (lambda @t33 @t53))) (=> @t32 (_ (_ tptp.member_a_a_a2 (_ @t62 @t27)) @t50))))) % 0.83/1.09 (assume @p10 (forall (@list @t64 @t65 @t3 @t1 @t63) (=> (_ (_ tptp.member_a_a_a_c_d @t64) (_ (_ tptp.pi_a_a_a_c_d @t65) (lambda @t68 @t12))) (=> @t67 (_ (_ tptp.member_c_d (_ @t64 @t63)) @t5))))) % 0.83/1.09 (assume @p11 (forall (@list @t69 @t65 @t17 @t16 @t63) (=> (_ (_ tptp.member_a_a_a_a_a2 @t69) (_ (_ tptp.pi_a_a_a_a_a @t65) (lambda @t68 @t23))) (=> @t67 (_ (_ tptp.member_a_a (_ @t69 @t63)) @t19))))) % 0.83/1.09 (assume @p12 (forall (@list @t20 @t9 @t17 @t16 @t6 @t70) (=> @t26 (=> @t11 (=> @t72 (_ (_ tptp.member_a (_ @t21 @t70)) @t16)))))) % 0.83/1.09 (assume @p13 (forall (@list @t28 @t30 @t17 @t16 @t27 @t70) (=> @t36 (=> @t32 (=> @t72 (_ (_ tptp.member_a (_ @t29 @t70)) @t16)))))) % 0.83/1.09 (assume @p14 (forall (@list @t45 @t39 @t17 @t16 @t37 @t70) (=> @t47 (=> @t41 (=> @t72 (_ (_ tptp.member_a (_ @t46 @t70)) @t16)))))) % 0.83/1.09 (assume @p15 (forall (@list @t74 @t9 @t75 @t16 @t6 @t73) (=> (_ (_ tptp.member_a_c_d_a @t74) (_ (_ tptp.pi_a_c_d_a @t9) (lambda @t13 @t79))) (=> @t11 (=> @t77 (_ (_ tptp.member_a (_ (_ @t74 @t6) @t73)) @t16)))))) % 0.83/1.09 (assume @p16 (forall (@list @t81 @t9 @t82 @t16 @t6 @t80) (=> (_ (_ tptp.member_a_a_a_a3 @t81) (_ (_ tptp.pi_a_a_a_a3 @t9) (lambda @t13 @t85))) (=> @t11 (=> @t84 (_ (_ tptp.member_a (_ (_ @t81 @t6) @t80)) @t16)))))) % 0.83/1.09 (assume @p17 (forall (@list @t87 @t9 @t17 @t86 @t6 @t70) (=> (_ @t90 (_ @t89 (lambda @t13 (_ (_ tptp.pi_a_c_d @t17) (lambda @t22 @t86))))) (=> @t11 (=> @t72 (_ (_ tptp.member_c_d (_ @t88 @t70)) @t86)))))) % 0.83/1.09 (assume @p18 (forall (@list @t51 @t9 @t17 @t48 @t6 @t70) (=> @t56 (=> @t11 (=> @t72 (_ (_ tptp.member_a_a (_ @t52 @t70)) @t48)))))) % 0.83/1.09 (assume @p19 (forall (@list @t57 @t30 @t3 @t1 @t27 @t91) (=> @t61 (=> @t32 (=> (_ (_ tptp.member_c @t91) @t3) (_ (_ tptp.member_d (_ @t58 @t91)) @t1)))))) % 0.83/1.09 (assume @p20 (forall (@list @t92 @t30 @t75 @t16 @t27 @t73) (=> (_ (_ tptp.member_c_d_c_d_a2 @t92) (_ (_ tptp.pi_c_d_c_d_a @t30) (lambda @t33 @t79))) (=> @t32 (=> @t77 (_ (_ tptp.member_a (_ (_ @t92 @t27) @t73)) @t16)))))) % 0.83/1.09 (assume @p21 (forall (@list @t93 @t30 @t82 @t16 @t27 @t80) (=> (_ (_ tptp.member_c_d_a_a_a @t93) (_ (_ tptp.pi_c_d_a_a_a @t30) (lambda @t33 @t85))) (=> @t32 (=> @t84 (_ (_ tptp.member_a (_ (_ @t93 @t27) @t80)) @t16)))))) % 0.83/1.09 (assume @p22 (forall (@list @t95 @t98 @t94) (=> (forall @t105 (=> @t104 (_ @t102 (_ @t94 @t101)))) @t100))) % 0.83/1.09 (assume @p23 (forall (@list @t9 @t109 @t106) (=> (forall @t116 (=> @t115 (_ @t113 (_ @t106 @t112)))) @t111))) % 0.83/1.09 (assume @p24 (forall (@list @t30 @t119 @t117) (=> (forall @t126 (=> @t125 (_ @t123 (_ @t117 @t122)))) @t121))) % 0.83/1.09 (assume @p25 (forall (@list @t39 @t129 @t127) (=> (forall @t135 (=> @t134 (_ @t132 (_ @t127 @t131)))) (_ @t130 (_ @t128 @t127))))) % 0.83/1.09 (assume @p26 (forall (@list @t9 @t7 @t136) (=> (forall @t116 (=> @t115 (_ @t139 (_ @t136 @t112)))) @t138))) % 0.83/1.09 (assume @p27 (forall (@list @t9 @t20 @t140) (=> (forall @t116 (=> @t115 (_ @t143 (_ @t140 @t112)))) @t142))) % 0.83/1.09 (assume @p28 (forall (@list @t30 @t57 @t144) (=> (forall @t126 (=> @t125 (_ @t147 (_ @t144 @t122)))) @t146))) % 0.83/1.09 (assume @p29 (forall (@list @t30 @t28 @t148) (=> (forall @t126 (=> @t125 (_ @t149 (_ @t148 @t122)))) (_ @t35 (_ @t34 @t148))))) % 0.83/1.09 (assume @p30 (forall (@list @t65 @t152 @t150) (=> (forall @t158 (=> @t157 (_ @t155 (_ @t150 @t154)))) (_ @t153 (_ @t151 @t150))))) % 0.83/1.09 (assume @p31 (forall (@list @t39 @t38 @t159) (=> (forall @t135 (=> @t134 (_ @t160 (_ @t159 @t131)))) (_ @t44 (_ @t43 @t159))))) % 0.83/1.09 (assume @p32 (forall (@list @t162 @t161 @t6 @t165) (=> @t173 (=> @t170 (=> @t168 (_ (_ tptp.member_c_d @t166) @t164)))))) % 0.83/1.09 (assume @p33 (forall (@list @t162 @t161) (=> @t173 (= @t174 @t164)))) % 0.83/1.09 (assume @p34 (forall (@list @t7 @t9 @t75 @t176) (=> @t180 (=> @t179 @t178)))) % 0.83/1.09 (assume @p35 (forall (@list @t187 @t9 @t181 @t184) (=> @t190 (=> @t188 @t186)))) % 0.83/1.09 (assume @p36 (forall (@list @t87 @t9 @t191 @t193) (=> @t197 (=> @t196 @t195)))) % 0.83/1.09 (assume @p37 (forall (@list @t204 @t9 @t198 @t201) (=> @t207 (=> @t205 @t203)))) % 0.83/1.09 (assume @p38 (forall (@list @t51 @t9 @t208 @t210) (=> @t214 (=> @t213 @t212)))) % 0.83/1.09 (assume @p39 (forall (@list @t221 @t30 @t215 @t218) (=> @t224 (=> @t222 @t220)))) % 0.83/1.09 (assume @p40 (forall (@list @t57 @t30 @t75 @t226) (=> @t230 (=> @t229 @t228)))) % 0.83/1.09 (assume @p41 (forall (@list @t98 @t95 @t231 @t233) (=> @t237 (=> @t236 @t235)))) % 0.83/1.09 (assume @p42 (forall (@list @t20 @t9 @t82 @t239) (=> @t243 (=> @t242 @t241)))) % 0.83/1.09 (assume @p43 (forall (@list @t109 @t9 @t17 @t245) (=> @t249 (=> @t248 @t247)))) % 0.83/1.09 (assume @p44 (forall (@list @t7 @t9 @t75 @t176 @t6) (=> @t180 (=> @t178 (=> @t179 (=> @t11 (= @t8 (_ @t176 @t6)))))))) % 0.83/1.09 (assume @p45 (forall (@list @t187 @t9 @t181 @t184 @t6) (=> @t190 (=> @t186 (=> @t188 (=> @t11 (= (_ @t187 @t6) (_ @t184 @t6)))))))) % 0.83/1.09 (assume @p46 (forall (@list @t87 @t9 @t191 @t193 @t6) (=> @t197 (=> @t195 (=> @t196 (=> @t11 (= @t88 (_ @t193 @t6)))))))) % 0.83/1.09 (assume @p47 (forall (@list @t204 @t9 @t198 @t201 @t6) (=> @t207 (=> @t203 (=> @t205 (=> @t11 (= (_ @t204 @t6) (_ @t201 @t6)))))))) % 0.83/1.09 (assume @p48 (forall (@list @t51 @t9 @t208 @t210 @t6) (=> @t214 (=> @t212 (=> @t213 (=> @t11 (= @t52 (_ @t210 @t6)))))))) % 0.83/1.09 (assume @p49 (forall (@list @t221 @t30 @t215 @t218 @t27) (=> @t224 (=> @t220 (=> @t222 (=> @t32 (= (_ @t221 @t27) (_ @t218 @t27)))))))) % 0.83/1.09 (assume @p50 (forall (@list @t57 @t30 @t75 @t226 @t27) (=> @t230 (=> @t228 (=> @t229 (=> @t32 (= @t58 (_ @t226 @t27)))))))) % 0.83/1.09 (assume @p51 (forall (@list @t98 @t95 @t231 @t233 @t250) (=> @t237 (=> @t235 (=> @t236 (=> (_ @t251 @t95) (= (_ @t98 @t250) (_ @t233 @t250)))))))) % 0.83/1.09 (assume @p52 (forall (@list @t20 @t9 @t82 @t239 @t6) (=> @t243 (=> @t241 (=> @t242 (=> @t11 (= @t21 (_ @t239 @t6)))))))) % 0.83/1.09 (assume @p53 (forall (@list @t109 @t9 @t17 @t245 @t6) (=> @t249 (=> @t247 (=> @t248 (=> @t11 (= (_ @t109 @t6) (_ @t245 @t6)))))))) % 0.83/1.09 (assume @p54 (forall (@list @t95 @t98 @t231) (=> (forall @t105 (=> @t104 (_ @t102 @t231))) @t237))) % 0.83/1.09 (assume @p55 (forall (@list @t9 @t109 @t17) (=> (forall @t116 (=> @t115 (_ @t113 @t17))) @t249))) % 0.83/1.09 (assume @p56 (forall (@list @t30 @t119 @t17) (=> (forall @t126 (=> @t125 (_ @t123 @t17))) @t252))) % 0.83/1.09 (assume @p57 (forall (@list @t39 @t129 @t17) (=> (forall @t135 (=> @t134 (_ @t132 @t17))) (_ @t130 (_ @t128 (lambda @t42 @t17)))))) % 0.83/1.09 (assume @p58 (forall (@list @t9 @t7 @t75) (=> (forall @t116 (=> @t115 (_ @t139 @t75))) @t180))) % 0.83/1.09 (assume @p59 (forall (@list @t9 @t20 @t82) (=> (forall @t116 (=> @t115 (_ @t143 @t82))) @t243))) % 0.83/1.09 (assume @p60 (forall (@list @t30 @t57 @t75) (=> (forall @t126 (=> @t125 (_ @t147 @t75))) @t230))) % 0.83/1.09 (assume @p61 (forall (@list @t30 @t28 @t82) (=> (forall @t126 (=> @t125 (_ @t149 @t82))) (_ @t35 (_ @t34 (lambda @t33 @t82)))))) % 0.83/1.09 (assume @p62 (forall (@list @t65 @t152 @t17) (=> (forall @t158 (=> @t157 (_ @t155 @t17))) (_ @t153 (_ @t151 (lambda @t68 @t17)))))) % 0.83/1.09 (assume @p63 (forall (@list @t39 @t38 @t75) (=> (forall @t135 (=> @t134 (_ @t160 @t75))) (_ @t44 (_ @t43 (lambda @t42 @t75)))))) % 0.83/1.09 (assume @p64 (forall (@list @t7 @t9 @t75 @t176 @t253) (=> @t180 (=> @t178 (=> @t179 (=> @t256 (= @t254 (_ @t176 @t253)))))))) % 0.83/1.09 (assume @p65 (forall (@list @t187 @t9 @t181 @t184 @t253) (=> @t190 (=> @t186 (=> @t188 (=> @t256 (= (_ @t187 @t253) (_ @t184 @t253)))))))) % 0.83/1.09 (assume @p66 (forall (@list @t87 @t9 @t191 @t193 @t253) (=> @t197 (=> @t195 (=> @t196 (=> @t256 (= (_ @t87 @t253) (_ @t193 @t253)))))))) % 0.83/1.09 (assume @p67 (forall (@list @t204 @t9 @t198 @t201 @t253) (=> @t207 (=> @t203 (=> @t205 (=> @t256 (= (_ @t204 @t253) (_ @t201 @t253)))))))) % 0.83/1.09 (assume @p68 (forall (@list @t51 @t9 @t208 @t210 @t253) (=> @t214 (=> @t212 (=> @t213 (=> @t256 (= (_ @t51 @t253) (_ @t210 @t253)))))))) % 0.83/1.09 (assume @p69 (forall (@list @t221 @t30 @t215 @t218 @t257) (=> @t224 (=> @t220 (=> @t222 (=> @t259 (= (_ @t221 @t257) (_ @t218 @t257)))))))) % 0.83/1.09 (assume @p70 (forall (@list @t57 @t30 @t75 @t226 @t257) (=> @t230 (=> @t228 (=> @t229 (=> @t259 (= (_ @t57 @t257) (_ @t226 @t257)))))))) % 0.83/1.09 (assume @p71 (forall (@list @t98 @t95 @t231 @t233 @t260) (=> @t237 (=> @t235 (=> @t236 (=> @t262 (= @t261 (_ @t233 @t260)))))))) % 0.83/1.09 (assume @p72 (forall (@list @t20 @t9 @t82 @t239 @t253) (=> @t243 (=> @t241 (=> @t242 (=> @t256 (= (_ @t20 @t253) (_ @t239 @t253)))))))) % 0.83/1.09 (assume @p73 (forall (@list @t109 @t9 @t17 @t245 @t253) (=> @t249 (=> @t247 (=> @t248 (=> @t256 (= @t263 (_ @t245 @t253)))))))) % 0.83/1.09 (assume @p74 (forall @t266 (_ (_ tptp.member_c_d_c_d (lambda (@list @t265 @t264) (_ @t265 @t264))) (_ @t59 (lambda @t33 @t30))))) % 0.83/1.09 (assume @p75 (forall @t269 (_ (_ tptp.member_a_a (lambda @t268 @t267)) (_ @t107 (lambda @t13 @t9))))) % 0.83/1.09 (assume @p76 (forall (@list @t270 @t9 @t231 @t253) (=> (_ @t273 (_ @t272 (lambda @t13 @t231))) (=> @t256 (_ @t271 @t231))))) % 0.83/1.09 (assume @p77 (forall (@list @t274 @t9 @t3 @t253) (=> (_ @t277 (_ @t276 (lambda @t13 @t3))) (=> @t256 (_ @t275 @t3))))) % 0.83/1.09 (assume @p78 (forall (@list @t279 @t281 @t17 @t278) (=> (_ @t285 (_ @t284 (lambda @t283 @t17))) (=> @t282 (_ @t280 @t17))))) % 0.83/1.09 (assume @p79 (forall (@list @t286 @t281 @t231 @t278) (=> (_ @t289 (_ @t288 (lambda @t283 @t231))) (=> @t282 (_ @t287 @t231))))) % 0.83/1.09 (assume @p80 (forall (@list @t290 @t281 @t3 @t278) (=> (_ @t293 (_ @t292 (lambda @t283 @t3))) (=> @t282 (_ @t291 @t3))))) % 0.83/1.09 (assume @p81 (forall (@list @t294 @t95 @t17 @t260) (=> (_ @t297 (_ @t296 (lambda @t2 @t17))) (=> @t262 (_ @t295 @t17))))) % 0.83/1.09 (assume @p82 (forall (@list @t298 @t95 @t3 @t260) (=> (_ @t301 (_ @t300 (lambda @t2 @t3))) (=> @t262 (_ @t299 @t3))))) % 0.83/1.09 (assume @p83 (forall (@list @t98 @t95 @t231 @t260) (=> @t237 (=> @t262 (_ @t302 @t231))))) % 0.83/1.09 (assume @p84 (forall (@list @t109 @t9 @t17 @t253) (=> @t249 (=> @t256 (_ @t303 @t17))))) % 0.83/1.09 (assume @p85 (forall (@list @t119 @t30 @t17 @t257) (=> @t252 (=> @t259 (_ @t304 @t17))))) % 0.83/1.09 (assume @p86 (forall @t313 (=> @t312 (_ @t310 (_ (_ tptp.pi_c_d_c_d_c_d @t306) (lambda @t33 (_ @t307 (lambda @t78 @t306)))))))) % 0.83/1.09 (assume @p87 (_ tptp.aGroup2097840802xt_a_b tptp.r)) % 0.83/1.09 (assume @p88 (forall (@list @t162 @t161 @t315 @t314) (=> @t173 (=> (_ @t318 @t174) (=> (_ @t317 @t174) @t316))))) % 0.83/1.09 (assume @p89 (forall @t322 (=> @t321 @t319))) % 0.83/1.09 (assume @p90 (forall @t325 (=> @t324 @t324))) % 0.83/1.09 (assume @p91 (forall @t325 (=> @t324 (_ tptp.aGroup2097840802xt_a_b @t323)))) % 0.83/1.09 (assume @p92 (forall (@list @t323 @t162 @t161 @t315 @t314) (=> @t324 (=> @t327 (=> (_ @t318 @t326) (=> (_ @t317 @t326) @t316)))))) % 0.83/1.09 (assume @p93 (forall @t339 (=> @t338 (=> @t337 (=> @t335 (=> (forall @t116 (=> @t331 (= (_ @t329 @t112) (_ @t328 @t112)))) (= @t329 @t328))))))) % 0.83/1.09 (assume @p94 (forall @t346 (=> @t312 (=> @t345 (=> @t343 (=> (forall @t105 (=> @t172 (= (_ @t341 @t101) (_ @t340 @t101)))) (= @t341 @t340))))))) % 0.83/1.09 (assume @p95 (forall @t349 (=> @t312 (=> @t348 (= @t306 (_ @t163 @t347)))))) % 0.83/1.09 (assume @p96 (forall (@list @t353 @t354 @t351 @t350) (=> (_ (_ tptp.member_d_a @t353) @t356) (=> @t355 (_ (_ tptp.member_a (_ @t353 @t350)) (_ tptp.carrie867757212xt_a_b @t352)))))) % 0.83/1.09 (assume @p97 (forall (@list @t360 @t162 @t358 @t357) (=> (_ (_ tptp.member_c_a @t360) @t362) (=> @t361 (_ (_ tptp.member_a (_ @t360 @t357)) (_ tptp.carrie867757212xt_a_b @t359)))))) % 0.83/1.09 (assume @p98 (forall (@list @t37 @t330 @t332 @t363) (=> @t366 (=> @t365 (_ (_ tptp.member_a (_ @t37 @t363)) (_ tptp.carrie867757212xt_a_b @t364)))))) % 0.83/1.09 (assume @p99 (forall (@list @t27 @t162 @t305 @t357) (=> @t368 (=> @t361 (_ (_ tptp.member_d (_ @t27 @t357)) (_ tptp.carrie11369756_d_a_e @t367)))))) % 0.83/1.09 (assume @p100 (forall (@list @t372 @t373 @t370 @t369) (=> (_ (_ tptp.member_c_d_a @t372) @t375) (=> @t374 (_ (_ tptp.member_a (_ @t372 @t369)) (_ tptp.carrie867757212xt_a_b @t371)))))) % 0.83/1.09 (assume @p101 (forall (@list @t379 @t380 @t377 @t376) (=> (_ (_ tptp.member_a_a_a @t379) @t382) (=> @t381 (_ (_ tptp.member_a (_ @t379 @t376)) (_ tptp.carrie867757212xt_a_b @t378)))))) % 0.83/1.09 (assume @p102 (forall (@list @t386 @t387 @t384 @t383) (=> (_ (_ tptp.member_a_a_a_a @t386) @t389) (=> @t388 (_ (_ tptp.member_a (_ @t386 @t383)) (_ tptp.carrie867757212xt_a_b @t385)))))) % 0.83/1.09 (assume @p103 (forall (@list @t391 @t330 @t390 @t363) (=> (_ (_ tptp.member_a_c_d @t391) (_ (_ tptp.carr_p923087418t_unit @t330) @t390)) (=> @t365 (_ (_ tptp.member_c_d (_ @t391 @t363)) (_ tptp.carrie20288686t_unit (_ @t390 @t363))))))) % 0.83/1.09 (assume @p104 (forall (@list @t393 @t354 @t392 @t350) (=> (_ (_ tptp.member_d_c_d @t393) (_ (_ tptp.carr_p1159644861t_unit @t354) @t392)) (=> @t355 (_ (_ tptp.member_c_d (_ @t393 @t350)) (_ tptp.carrie20288686t_unit (_ @t392 @t350))))))) % 0.83/1.09 (assume @p105 (forall (@list @t395 @t162 @t394 @t357) (=> (_ (_ tptp.member_c_c_d @t395) (_ (_ tptp.carr_p1080792380t_unit @t162) @t394)) (=> @t361 (_ (_ tptp.member_c_d (_ @t395 @t357)) (_ tptp.carrie20288686t_unit (_ @t394 @t357))))))) % 0.83/1.09 (assume @p106 (forall @t349 (=> @t312 (=> @t348 (= @t309 (_ @t308 @t347)))))) % 0.83/1.09 (assume @p107 (forall @t349 (=> @t312 (=> @t348 (= @t397 (_ @t396 @t347)))))) % 0.83/1.09 (assume @p108 (forall @t349 (=> @t312 (=> @t348 (= @t399 (_ @t398 @t347)))))) % 0.83/1.09 (assume @p109 (forall (@list @t323 @t162 @t161) (=> @t324 (=> @t327 (= @t326 @t164))))) % 0.83/1.09 (assume @p110 (forall (@list @t323 @t162 @t161 @t6 @t165) (=> @t324 (=> @t327 (=> @t402 (=> @t168 (_ (_ tptp.member_c_d @t400) @t164))))))) % 0.83/1.09 (assume @p111 (forall (@list @t330 @t332 @t37 @t80) (=> @t338 (=> @t366 (=> @t407 (= @t406 (_ @t404 @t37))))))) % 0.83/1.09 (assume @p112 (forall (@list @t162 @t305 @t27 @t73) (=> @t312 (=> @t368 (=> @t411 (= @t410 (_ @t408 @t27))))))) % 0.83/1.09 (assume @p113 (forall (@list @t330 @t332 @t37 @t80 @t412) (=> @t338 (=> @t366 (=> @t407 (=> (_ (_ tptp.member_a_a @t412) @t333) (= (_ (_ @t403 @t406) @t412) (_ @t405 (_ @t404 @t412))))))))) % 0.83/1.09 (assume @p114 (forall (@list @t162 @t305 @t27 @t73 @t413) (=> @t312 (=> @t368 (=> @t411 (=> (_ @t414 @t306) (= (_ (_ @t309 @t410) @t413) (_ @t409 (_ @t408 @t413))))))))) % 0.83/1.09 (assume @p115 (forall @t339 (=> @t338 (=> @t337 (=> @t335 (_ @t416 @t333)))))) % 0.83/1.09 (assume @p116 (forall @t346 (=> @t312 (=> @t345 (=> @t343 (_ @t418 @t306)))))) % 0.83/1.09 (assume @p117 (forall @t420 (=> @t338 (=> @t337 (_ @t419 @t333))))) % 0.83/1.09 (assume @p118 (forall @t422 (=> @t312 (=> @t345 (_ @t421 @t306))))) % 0.83/1.09 (assume @p119 (forall @t424 (=> @t338 (_ @t423 @t333)))) % 0.83/1.09 (assume @p120 (forall @t313 (=> @t312 (_ @t425 @t306)))) % 0.83/1.09 (assume @p121 (forall @t313 (=> @t312 (_ @t426 (_ @t307 (lambda @t33 @t306)))))) % 0.83/1.09 (assume @p122 (forall (@list @t30 @t221 @t218 @t427) (=> (forall @t431 (=> @t430 (= (_ @t221 @t429) (_ @t218 @t429)))) (= (_ @t223 @t428) (_ @t219 @t428))))) % 0.83/1.09 (assume @p123 (forall (@list @t30 @t57 @t226 @t144) (=> (forall @t431 (=> @t430 (= (_ @t57 @t429) (_ @t226 @t429)))) (= @t146 (_ @t227 @t145))))) % 0.83/1.09 (assume @p124 (forall (@list @t9 @t7 @t176 @t136) (=> (forall @t434 (=> @t433 (= (_ @t7 @t432) (_ @t176 @t432)))) (= @t138 (_ @t177 @t137))))) % 0.83/1.09 (assume @p125 (forall (@list @t9 @t187 @t184 @t435) (=> (forall @t434 (=> @t433 (= (_ @t187 @t432) (_ @t184 @t432)))) (= (_ @t189 @t436) (_ @t185 @t436))))) % 0.83/1.09 (assume @p126 (forall (@list @t9 @t20 @t239 @t140) (=> (forall @t434 (=> @t433 (= (_ @t20 @t432) (_ @t239 @t432)))) (= @t142 (_ @t240 @t141))))) % 0.83/1.09 (assume @p127 (forall (@list @t9 @t109 @t245 @t106) (=> (forall @t434 (=> @t433 (= (_ @t109 @t432) (_ @t245 @t432)))) (= @t111 (_ @t246 @t108))))) % 0.83/1.09 (assume @p128 (forall (@list @t9 @t87 @t193 @t437) (=> (forall @t434 (=> @t433 (= (_ @t87 @t432) (_ @t193 @t432)))) (= (_ @t90 @t438) (_ @t194 @t438))))) % 0.83/1.09 (assume @p129 (forall (@list @t9 @t204 @t201 @t439) (=> (forall @t434 (=> @t433 (= (_ @t204 @t432) (_ @t201 @t432)))) (= (_ @t206 @t440) (_ @t202 @t440))))) % 0.83/1.09 (assume @p130 (forall (@list @t9 @t51 @t210 @t441) (=> (forall @t434 (=> @t433 (= (_ @t51 @t432) (_ @t210 @t432)))) (= (_ @t55 @t442) (_ @t211 @t442))))) % 0.83/1.09 (assume @p131 (forall (@list @t95 @t98 @t233 @t94) (=> (forall (@list @t443) (=> (_ (_ tptp.member_c @t443) @t95) (= (_ @t98 @t443) (_ @t233 @t443)))) (= @t100 (_ @t234 @t97))))) % 0.83/1.09 (assume @p132 (forall @t447 (=> @t446 (=> @t256 @t445)))) % 0.83/1.09 (assume @p133 (forall @t451 (=> @t450 (=> @t256 @t449)))) % 0.83/1.09 (assume @p134 (forall @t455 (=> @t454 (=> @t282 @t453)))) % 0.83/1.09 (assume @p135 (forall @t459 (=> @t458 (=> @t282 @t457)))) % 0.83/1.09 (assume @p136 (forall @t463 (=> @t462 (=> @t282 @t461)))) % 0.83/1.09 (assume @p137 (forall @t467 (=> @t466 (=> @t262 @t465)))) % 0.83/1.09 (assume @p138 (forall @t471 (=> @t470 (=> @t262 @t469)))) % 0.83/1.09 (assume @p139 (forall @t473 (=> @t100 (=> @t262 @t472)))) % 0.83/1.09 (assume @p140 (forall @t475 (=> @t111 (=> @t256 @t474)))) % 0.83/1.09 (assume @p141 (forall (@list @t119 @t30 @t117 @t257) (=> @t121 (=> @t259 (_ @t304 (_ @t117 @t257)))))) % 0.83/1.09 (assume @p142 (forall (@list @t187 @t330 @t476) (= (_ @t189 (_ (_ tptp.pi_a_a_c_d_c_d @t330) @t476)) (forall @t268 (=> @t478 (_ (_ tptp.member_a_c_d_c_d (_ @t187 @t267)) (_ @t476 @t267))))))) % 0.83/1.09 (assume @p143 (forall (@list @t221 @t373 @t479) (= (_ @t223 (_ (_ tptp.pi_c_d_c_d_c_d @t373) @t479)) (forall @t482 (=> @t481 (_ (_ tptp.member_c_d_c_d (_ @t221 @t265)) (_ @t479 @t265))))))) % 0.83/1.09 (assume @p144 (forall (@list @t7 @t330 @t483) (= (_ @t15 (_ (_ tptp.pi_a_c_d @t330) @t483)) (forall @t268 (=> @t478 (_ (_ tptp.member_c_d (_ @t7 @t267)) (_ @t483 @t267))))))) % 0.83/1.09 (assume @p145 (forall (@list @t57 @t373 @t484) (= (_ @t60 (_ (_ tptp.pi_c_d_c_d @t373) @t484)) (forall @t482 (=> @t481 (_ (_ tptp.member_c_d (_ @t57 @t265)) (_ @t484 @t265))))))) % 0.83/1.09 (assume @p146 (forall (@list @t98 @t162 @t486) (= (_ @t99 (_ (_ tptp.pi_c_d @t162) @t486)) (forall @t488 (=> (_ @t487 @t162) (_ (_ tptp.member_d (_ @t98 @t485)) (_ @t486 @t485))))))) % 0.83/1.09 (assume @p147 (forall (@list @t20 @t330 @t489) (= (_ @t25 (_ (_ tptp.pi_a_a_a2 @t330) @t489)) (forall @t268 (=> @t478 (_ (_ tptp.member_a_a (_ @t20 @t267)) (_ @t489 @t267))))))) % 0.83/1.09 (assume @p148 (forall (@list @t109 @t330 @t490) (= (_ @t110 (_ (_ tptp.pi_a_a @t330) @t490)) (forall @t268 (=> @t478 (_ (_ tptp.member_a (_ @t109 @t267)) (_ @t490 @t267))))))) % 0.83/1.09 (assume @p149 (forall (@list @t87 @t330 @t491) (= (_ @t90 (_ (_ tptp.pi_a_a_c_d2 @t330) @t491)) (forall @t268 (=> @t478 (_ (_ tptp.member_a_c_d (_ @t87 @t267)) (_ @t491 @t267))))))) % 0.83/1.09 (assume @p150 (forall (@list @t204 @t330 @t492) (= (_ @t206 (_ (_ tptp.pi_a_a_a_a_a2 @t330) @t492)) (forall @t268 (=> @t478 (_ (_ tptp.member_a_a_a_a4 (_ @t204 @t267)) (_ @t492 @t267))))))) % 0.83/1.09 (assume @p151 (forall (@list @t51 @t330 @t493) (= (_ @t55 (_ (_ tptp.pi_a_a_a_a4 @t330) @t493)) (forall @t268 (=> @t478 (_ (_ tptp.member_a_a_a2 (_ @t51 @t267)) (_ @t493 @t267))))))) % 0.83/1.09 (assume @p152 (forall (@list @t9 @t270 @t444) (=> (forall @t116 (=> @t115 (_ (_ tptp.member_d (_ @t270 @t112)) (_ @t444 @t112)))) @t446))) % 0.83/1.09 (assume @p153 (forall (@list @t9 @t274 @t448) (=> (forall @t116 (=> @t115 (_ (_ tptp.member_c (_ @t274 @t112)) (_ @t448 @t112)))) @t450))) % 0.83/1.09 (assume @p154 (forall (@list @t281 @t279 @t452) (=> (forall @t497 (=> @t496 (_ (_ tptp.member_a (_ @t279 @t494)) (_ @t452 @t494)))) @t454))) % 0.83/1.09 (assume @p155 (forall (@list @t281 @t286 @t456) (=> (forall @t497 (=> @t496 (_ (_ tptp.member_d (_ @t286 @t494)) (_ @t456 @t494)))) @t458))) % 0.83/1.09 (assume @p156 (forall (@list @t281 @t290 @t460) (=> (forall @t497 (=> @t496 (_ (_ tptp.member_c (_ @t290 @t494)) (_ @t460 @t494)))) @t462))) % 0.83/1.09 (assume @p157 (forall (@list @t95 @t294 @t464) (=> (forall @t105 (=> @t104 (_ (_ tptp.member_a (_ @t294 @t101)) (_ @t464 @t101)))) @t466))) % 0.83/1.09 (assume @p158 (forall (@list @t95 @t298 @t468) (=> (forall @t105 (=> @t104 (_ (_ tptp.member_c (_ @t298 @t101)) (_ @t468 @t101)))) @t470))) % 0.83/1.09 (assume @p159 (forall @t455 (=> @t454 (=> (not @t453) @t498)))) % 0.83/1.09 (assume @p160 (forall @t467 (=> @t466 (=> (not @t465) @t499)))) % 0.83/1.09 (assume @p161 (forall @t447 (=> @t446 (=> (not @t445) @t500)))) % 0.83/1.09 (assume @p162 (forall @t459 (=> @t458 (=> (not @t457) @t498)))) % 0.83/1.09 (assume @p163 (forall @t451 (=> @t450 (=> (not @t449) @t500)))) % 0.83/1.09 (assume @p164 (forall @t463 (=> @t462 (=> (not @t461) @t498)))) % 0.83/1.09 (assume @p165 (forall @t471 (=> @t470 (=> (not @t469) @t499)))) % 0.83/1.09 (assume @p166 (forall @t473 (=> @t100 (=> (not @t472) @t499)))) % 0.83/1.09 (assume @p167 (forall @t475 (=> @t111 (=> (not @t474) @t500)))) % 0.83/1.09 (assume @p168 (forall (@list @t7 @t9 @t136 @t253) (=> @t138 (=> (not (_ (_ tptp.member_c_d @t254) (_ @t136 @t253))) @t500)))) % 0.83/1.09 (assume @p169 (forall (@list @t501 @t253) (=> @t503 (=> (_ @t255 @t502) @t319)))) % 0.83/1.09 (assume @p170 (forall (@list @t501) (=> @t503 (_ tptp.ring_a_b @t501)))) % 0.83/1.09 (assume @p171 (forall (@list @t508 @t506 @t6 @t505 @t504) (=> (forall @t514 (=> @t513 (_ @t512 tptp.r))) (=> @t170 (=> @t510 (=> @t509 (= (_ (_ (_ (_ (_ (_ tptp.algebr828196337_d_d_e tptp.r) @t508) @t506) @t6) @t505) @t504) @t507))))))) % 0.83/1.09 (assume @p172 (forall (@list @t373 @t517 @t6 @t516 @t515) (=> (forall @t126 (=> @t522 (_ @t521 tptp.r))) (=> @t170 (=> @t520 (=> @t519 (= (_ (_ (_ (_ (_ (_ tptp.algebr924632044_d_d_e tptp.r) @t373) @t517) @t6) @t516) @t515) @t518))))))) % 0.83/1.09 (assume @p173 (forall (@list @t387 @t525 @t6 @t524 @t523) (=> (forall @t158 (=> @t530 (_ @t529 tptp.r))) (=> @t170 (=> @t528 (=> @t527 (= (_ (_ (_ (_ (_ (_ tptp.algebr1655014672_a_d_e tptp.r) @t387) @t525) @t6) @t524) @t523) @t526))))))) % 0.83/1.09 (assume @p174 (forall (@list @t380 @t533 @t6 @t532 @t531) (=> (forall @t135 (=> @t538 (_ @t537 tptp.r))) (=> @t170 (=> @t536 (=> @t535 (= (_ (_ (_ (_ (_ (_ tptp.algebr137561451_a_d_e tptp.r) @t380) @t533) @t6) @t532) @t531) @t534))))))) % 0.83/1.09 (assume @p175 (forall (@list @t330 @t541 @t6 @t540 @t539) (=> (forall @t116 (=> @t331 (_ @t545 tptp.r))) (=> @t170 (=> @t544 (=> @t543 (= (_ (_ (_ (_ (_ (_ tptp.algebr2109842362_a_d_e tptp.r) @t330) @t541) @t6) @t540) @t539) @t542))))))) % 0.83/1.09 (assume @p176 (forall (@list @t550 @t548 @t6 @t547 @t546) (=> (forall @t556 (=> @t555 (_ @t554 tptp.r))) (=> @t170 (=> @t552 (=> @t551 (= (_ (_ (_ (_ (_ (_ tptp.algebr1620716610_d_d_e tptp.r) @t550) @t548) @t6) @t547) @t546) @t549))))))) % 0.83/1.09 (assume @p177 (forall (@list @t561 @t559 @t6 @t558 @t557) (=> (forall @t567 (=> @t566 (_ @t565 tptp.r))) (=> @t170 (=> @t563 (=> @t562 (= (_ (_ (_ (_ (_ (_ tptp.algebr2122715238_a_d_e tptp.r) @t561) @t559) @t6) @t558) @t557) @t560))))))) % 0.83/1.09 (assume @p178 (forall (@list @t572 @t570 @t6 @t569 @t568) (=> (forall @t578 (=> @t577 (_ @t576 tptp.r))) (=> @t170 (=> @t574 (=> @t573 (= (_ (_ (_ (_ (_ (_ tptp.algebr303206081_a_d_e tptp.r) @t572) @t570) @t6) @t569) @t568) @t571))))))) % 0.83/1.09 (assume @p179 (forall (@list @t354 @t581 @t6 @t580 @t579) (=> (forall @t497 (=> @t586 (_ @t585 tptp.r))) (=> @t170 (=> @t584 (=> @t583 (= (_ (_ (_ (_ (_ (_ tptp.algebr417875517_d_d_e tptp.r) @t354) @t581) @t6) @t580) @t579) @t582))))))) % 0.83/1.09 (assume @p180 (forall (@list @t162 @t161 @t6 @t165 @t587) (=> @t173 (=> @t170 (=> @t168 (=> @t589 (= (_ @t166 @t587) @t588))))))) % 0.83/1.09 (assume @p181 (forall @t592 (=> @t591 (_ tptp.ring_a_b (_ (_ tptp.sr_a_b tptp.r) @t590))))) % 0.83/1.09 (assume @p182 (forall (@list @t57 @t594 @t593) (=> (_ @t60 (_ (_ (_ tptp.mHom_a1526663829t_unit tptp.r) @t594) @t593)) @t596))) % 0.83/1.09 (assume @p183 (forall @t313 (=> @t312 (_ @t310 (_ (_ tptp.pi_c_d_c_d_c_d @t597) (lambda @t33 (_ @t598 (lambda @t78 @t597)))))))) % 0.83/1.09 (assume @p184 (forall (@list @t6 @t599) (= (_ @t10 (_ tptp.collect_a @t599)) (_ @t599 @t6)))) % 0.83/1.09 (assume @p185 (forall (@list @t600 @t601) (= (_ (_ tptp.member_d @t600) (_ tptp.collect_d @t601)) (_ @t601 @t600)))) % 0.83/1.09 (assume @p186 (forall (@list @t250 @t602) (= (_ @t251 (_ tptp.collect_c @t602)) (_ @t602 @t250)))) % 0.83/1.09 (assume @p187 (forall (@list @t603 @t604) (= (_ (_ tptp.member_nat @t603) @t605) (_ @t604 @t603)))) % 0.83/1.09 (assume @p188 (forall (@list @t27 @t606) (= (_ @t31 (_ tptp.collect_c_d @t606)) (_ @t606 @t27)))) % 0.83/1.09 (assume @p189 (forall (@list @t37 @t607) (= (_ @t40 (_ tptp.collect_a_a @t607)) (_ @t607 @t37)))) % 0.83/1.09 (assume @p190 (forall (@list @t63 @t608) (= (_ @t66 (_ tptp.collect_a_a_a @t608)) (_ @t608 @t63)))) % 0.83/1.09 (assume @p191 (forall (@list @t609 @t610) (= (_ (_ tptp.member_c_d_c_d @t609) (_ tptp.collect_c_d_c_d @t610)) (_ @t610 @t609)))) % 0.83/1.09 (assume @p192 (forall (@list @t611 @t612) (= (_ (_ tptp.member_a_a_c_d2 @t611) (_ tptp.collect_a_a_c_d @t612)) (_ @t612 @t611)))) % 0.83/1.09 (assume @p193 (forall (@list @t613 @t614) (= (_ (_ tptp.member_a_a_a_a4 @t613) (_ tptp.collect_a_a_a_a @t614)) (_ @t614 @t613)))) % 0.83/1.09 (assume @p194 (forall @t269 (= (_ tptp.collect_a (lambda @t268 (_ @t477 @t9))) @t9))) % 0.83/1.09 (assume @p195 (forall (@list @t281) (= (_ tptp.collect_d (lambda (@list @t615) (_ (_ tptp.member_d @t615) @t281))) @t281))) % 0.83/1.09 (assume @p196 (forall (@list @t95) (= (_ tptp.collect_c (lambda @t488 (_ @t487 @t95))) @t95))) % 0.83/1.09 (assume @p197 (forall (@list @t616) (= (_ tptp.collect_nat (lambda (@list @t617) (_ (_ tptp.member_nat @t617) @t616))) @t616))) % 0.83/1.09 (assume @p198 (forall @t266 (= (_ tptp.collect_c_d (lambda @t482 (_ @t480 @t30))) @t30))) % 0.83/1.09 (assume @p199 (forall (@list @t39) (= (_ tptp.collect_a_a (lambda (@list @t618) (_ (_ tptp.member_a_a @t618) @t39))) @t39))) % 0.83/1.09 (assume @p200 (forall (@list @t65) (= (_ tptp.collect_a_a_a (lambda (@list @t619) (_ (_ tptp.member_a_a_a2 @t619) @t65))) @t65))) % 0.83/1.09 (assume @p201 (forall (@list @t620) (= (_ tptp.collect_c_d_c_d (lambda (@list @t621) (_ (_ tptp.member_c_d_c_d @t621) @t620))) @t620))) % 0.83/1.09 (assume @p202 (forall (@list @t622) (= (_ tptp.collect_a_a_c_d (lambda (@list @t623) (_ (_ tptp.member_a_a_c_d2 @t623) @t622))) @t622))) % 0.83/1.09 (assume @p203 (forall (@list @t624) (= (_ tptp.collect_a_a_a_a (lambda (@list @t625) (_ (_ tptp.member_a_a_a_a4 @t625) @t624))) @t624))) % 0.83/1.09 (assume @p204 (forall (@list @t604 @t626) (=> (forall (@list @t627) (= (_ @t604 @t627) (_ @t626 @t627))) (= @t605 (_ tptp.collect_nat @t626))))) % 0.83/1.09 (assume @p205 (forall @t637 (=> @t319 (=> @t636 (=> @t634 (= @t633 @t631)))))) % 0.83/1.09 (assume @p206 (forall (@list @t253 @t628) (=> @t319 (_ (_ tptp.member_a @t633) @t169)))) % 0.83/1.09 (assume @p207 (_ (_ tptp.member_a_a_a2 @t640) @t639)) % 0.83/1.09 (assume @p208 (_ (_ tptp.member_a_a_a2 @t641) @t639)) % 0.83/1.09 (assume @p209 (forall @t649 (=> @t319 (=> @t636 (=> @t648 (=> @t634 (= @t646 @t644))))))) % 0.83/1.09 (assume @p210 (forall @t649 (=> @t319 (=> @t636 (=> @t648 (= @t650 (_ @t643 @t646))))))) % 0.83/1.09 (assume @p211 (forall @t649 (=> @t319 (=> @t636 (=> @t648 (= (_ @t652 @t642) @t650)))))) % 0.83/1.09 (assume @p212 (forall @t654 (=> @t319 (=> @t636 (_ @t653 @t169))))) % 0.83/1.09 (assume @p213 (forall @t654 (=> @t319 (=> @t636 (= @t651 @t655))))) % 0.83/1.09 (assume @p214 (forall (@list @t253 @t657 @t629 @t656) (=> @t319 (=> (_ @t659 @t169) (=> @t636 (=> (_ @t658 @t169) (= (_ (_ @t640 (_ @t645 @t657)) (_ @t643 @t656)) (_ @t652 (_ (_ @t640 @t657) @t656))))))))) % 0.83/1.09 (assume @p215 (forall @t667 (=> @t170 (=> @t666 (=> @t665 (= (_ (_ @t640 @t663) @t660) (_ @t662 (_ @t661 @t660)))))))) % 0.83/1.09 (assume @p216 (forall @t668 (=> @t170 (=> @t666 (= @t663 (_ @t661 @t6)))))) % 0.83/1.09 (assume @p217 (forall @t667 (=> @t170 (=> @t666 (=> @t665 (= (_ (_ @t641 @t672) @t660) (_ @t671 @t670))))))) % 0.83/1.09 (assume @p218 (forall @t668 (=> @t170 (=> @t666 (= @t672 (_ @t669 @t6)))))) % 0.83/1.09 (assume @p219 (forall @t675 (=> @t591 (=> @t674 (=> @t673 (_ @t653 @t590)))))) % 0.83/1.09 (assume @p220 (forall @t675 (=> @t591 (=> @t674 (=> @t673 (_ (_ tptp.member_a @t676) @t590)))))) % 0.83/1.09 (assume @p221 (forall @t667 (=> @t170 (=> @t666 (=> @t665 (= (_ @t662 @t670) (_ @t677 (_ @t662 @t660)))))))) % 0.83/1.09 (assume @p222 (forall @t649 (=> @t319 (=> @t636 (=> @t648 (= (_ @t645 @t678) (_ (_ @t641 @t651) @t646))))))) % 0.83/1.09 (assume @p223 (forall @t649 (=> @t319 (=> @t636 (=> @t648 (= (_ (_ @t640 @t678) @t253) (_ (_ @t641 @t655) (_ (_ @t640 @t642) @t253)))))))) % 0.83/1.09 (assume @p224 (forall @t679 (=> @t170 (=> @t666 (=> @t319 (=> @t636 (= (_ (_ @t640 @t672) @t676) (_ (_ @t641 (_ (_ @t641 (_ (_ @t641 (_ @t662 @t253)) (_ @t662 @t629))) (_ @t661 @t253))) (_ @t661 @t629))))))))) % 0.83/1.09 (assume @p225 (forall @t637 (=> @t319 (=> @t636 (= (_ @t645 @t631) (_ (_ @t630 @t651) @t628)))))) % 0.83/1.09 (assume @p226 (forall @t637 (=> @t319 (=> @t636 (= (_ (_ @t640 @t631) @t253) (_ (_ @t630 @t655) @t628)))))) % 0.83/1.09 (assume @p227 (forall @t637 (=> @t319 (=> @t636 (= (_ @t680 @t631) (_ (_ @t630 @t676) @t628)))))) % 0.83/1.09 (assume @p228 (forall @t683 (=> @t503 (=> @t682 (=> @t681 (= (_ (_ (_ tptp.tp_a_b @t501) @t6) @t70) @t663)))))) % 0.83/1.09 (assume @p229 (forall @t683 (=> @t503 (=> @t682 (=> @t681 (= @t684 @t672)))))) % 0.83/1.09 (assume @p230 (forall (@list @t590 @t686 @t685) (=> @t687 (=> (_ (_ tptp.member_a @t686) @t590) (=> (_ (_ tptp.member_a @t685) @t590) (_ (_ tptp.member_a (_ (_ @t640 @t686) @t685)) @t590)))))) % 0.83/1.09 (assume @p231 (forall @t693 (=> @t324 (=> @t692 (=> @t674 (=> @t673 (_ @t691 @t590))))))) % 0.83/1.09 (assume @p232 (forall @t693 (=> @t324 (=> @t692 (=> @t674 (=> @t673 (_ (_ tptp.member_a @t695) @t590))))))) % 0.83/1.09 (assume @p233 (forall (@list @t323 @t6 @t70 @t253 @t629) (=> @t324 (=> @t402 (=> @t702 (=> @t701 (=> @t700 (= (_ (_ @t688 @t699) @t695) (_ (_ @t694 (_ (_ @t694 (_ (_ @t694 (_ @t697 @t253)) (_ @t697 @t629))) (_ @t696 @t253))) (_ @t696 @t629)))))))))) % 0.83/1.09 (assume @p234 (forall @t707 (=> @t324 (=> @t701 (=> @t700 (=> @t706 (= (_ (_ @t688 @t705) @t253) (_ (_ @t694 @t704) (_ (_ @t688 @t642) @t253))))))))) % 0.83/1.09 (assume @p235 (forall @t707 (=> @t324 (=> @t701 (=> @t700 (=> @t706 (= (_ @t689 @t705) (_ (_ @t694 @t690) @t708)))))))) % 0.83/1.09 (assume @p236 (forall @t713 (=> @t324 (=> @t402 (=> @t702 (=> @t712 (= (_ @t697 @t711) (_ (_ @t694 @t709) (_ @t697 @t660))))))))) % 0.83/1.09 (assume @p237 (forall @t716 (=> @t324 (=> @t701 (=> @t700 (= (_ (_ @t688 @t715) @t253) (_ (_ @t714 @t704) @t628))))))) % 0.83/1.09 (assume @p238 (forall @t716 (=> @t324 (=> @t701 (=> @t700 (= (_ @t689 @t715) (_ (_ @t714 @t690) @t628))))))) % 0.83/1.09 (assume @p239 (forall @t716 (=> @t324 (=> @t701 (=> @t700 (= (_ (_ @t694 @t717) @t715) (_ (_ @t714 @t695) @t628))))))) % 0.83/1.09 (assume @p240 (forall (@list @t323 @t590) (=> @t324 (=> @t692 (_ tptp.ring_a_b (_ (_ tptp.sr_a_b @t323) @t590)))))) % 0.83/1.09 (assume @p241 (forall @t727 (=> @t726 (=> @t725 (=> @t724 (= @t722 (_ @t720 @t253))))))) % 0.83/1.09 (assume @p242 (forall @t738 (=> @t737 (=> @t736 (=> @t735 (= @t733 (_ @t731 @t257))))))) % 0.83/1.09 (assume @p243 (forall (@list @t718 @t6 @t70) (=> @t726 (=> @t743 (=> @t742 (= @t741 (_ @t739 @t6))))))) % 0.83/1.09 (assume @p244 (forall (@list @t729 @t27 @t73) (=> @t737 (=> @t748 (=> @t747 (= @t746 (_ @t744 @t27))))))) % 0.83/1.09 (assume @p245 (forall @t758 (=> @t726 (=> @t743 (=> @t742 (=> @t757 (=> @t756 (= @t755 @t752)))))))) % 0.83/1.09 (assume @p246 (forall @t768 (=> @t737 (=> @t748 (=> @t747 (=> @t767 (=> @t766 (= @t765 @t762)))))))) % 0.83/1.09 (assume @p247 (forall @t758 (=> @t726 (=> @t743 (=> @t742 (=> @t757 (=> @t756 (= @t770 @t752)))))))) % 0.83/1.09 (assume @p248 (forall @t768 (=> @t737 (=> @t748 (=> @t747 (=> @t767 (=> @t766 (= @t772 @t762)))))))) % 0.83/1.09 (assume @p249 (forall @t758 (=> @t726 (=> @t743 (=> @t742 (=> @t757 (=> @t756 (= @t770 @t755)))))))) % 0.83/1.09 (assume @p250 (forall @t768 (=> @t737 (=> @t748 (=> @t747 (=> @t767 (=> @t766 (= @t772 @t765)))))))) % 0.83/1.09 (assume @p251 (forall @t727 (=> @t726 (=> @t725 (=> @t724 (_ (_ tptp.member_a @t722) @t723)))))) % 0.83/1.09 (assume @p252 (forall @t738 (=> @t737 (=> @t736 (=> @t735 (_ (_ tptp.member_c_d @t733) @t734)))))) % 0.83/1.09 (assume @p253 (forall @t776 (=> @t726 (=> @t743 (=> @t742 (=> @t757 (=> @t775 @t773))))))) % 0.83/1.09 (assume @p254 (forall @t780 (=> @t737 (=> @t748 (=> @t747 (=> @t767 (=> @t779 @t777))))))) % 0.83/1.09 (assume @p255 (forall @t776 (=> @t726 (=> @t743 (=> @t742 (=> @t757 (=> @t781 @t773))))))) % 0.83/1.09 (assume @p256 (forall @t780 (=> @t737 (=> @t748 (=> @t747 (=> @t767 (=> @t782 @t777))))))) % 0.83/1.09 (assume @p257 (forall (@list @t718 @t253 @t629 @t642) (=> @t726 (=> @t725 (=> @t724 (=> (_ @t647 @t723) (= (_ (_ @t719 @t722) @t642) (_ @t721 (_ @t720 @t642))))))))) % 0.83/1.09 (assume @p258 (forall (@list @t729 @t257 @t728 @t783) (=> @t737 (=> @t736 (=> @t735 (=> (_ (_ tptp.member_c_d @t783) @t734) (= (_ (_ @t730 @t733) @t783) (_ @t732 (_ @t731 @t783))))))))) % 0.83/1.09 (assume @p259 (forall @t776 (=> @t726 (=> @t743 (=> @t742 (=> @t757 (=> @t773 @t775))))))) % 0.83/1.09 (assume @p260 (forall @t780 (=> @t737 (=> @t748 (=> @t747 (=> @t767 (=> @t777 @t779))))))) % 0.83/1.09 (assume @p261 (forall @t776 (=> @t726 (=> @t743 (=> @t742 (=> @t757 (=> @t773 @t781))))))) % 0.83/1.09 (assume @p262 (forall @t780 (=> @t737 (=> @t748 (=> @t747 (=> @t767 (=> @t777 @t782))))))) % 0.83/1.09 (assume @p263 (forall (@list @t718 @t787 @t786 @t785 @t784) (=> @t726 (=> (_ (_ tptp.member_a @t787) @t723) (=> (_ (_ tptp.member_a @t786) @t723) (=> @t788 (=> @t788 (=> (= @t787 @t784) (=> (= @t786 @t785) (= (_ (_ @t719 @t787) @t786) (_ (_ @t719 @t785) @t784))))))))))) % 0.83/1.09 (assume @p264 (forall (@list @t729 @t792 @t791 @t790 @t789) (=> @t737 (=> (_ (_ tptp.member_c_d @t792) @t734) (=> (_ (_ tptp.member_c_d @t791) @t734) (=> @t793 (=> @t793 (=> (= @t792 @t789) (=> (= @t791 @t790) (= (_ (_ @t730 @t792) @t791) (_ (_ @t730 @t790) @t789))))))))))) % 0.83/1.09 (assume @p265 (forall @t758 (=> @t726 (=> @t743 (=> @t742 (=> @t757 (=> @t756 (= @t755 (_ (_ @t719 @t774) (_ @t739 @t749)))))))))) % 0.83/1.09 (assume @p266 (forall @t768 (=> @t737 (=> @t748 (=> @t747 (=> @t767 (=> @t766 (= @t765 (_ (_ @t730 @t778) (_ @t744 @t759)))))))))) % 0.83/1.09 (assume @p267 (forall @t776 (=> @t726 (=> @t743 (=> @t742 (=> @t757 (= @t769 @t751))))))) % 0.83/1.09 (assume @p268 (forall @t780 (=> @t737 (=> @t748 (=> @t747 (=> @t767 (= @t771 @t761))))))) % 0.83/1.09 (assume @p269 (forall @t794 (=> @t324 (=> @t701 (=> @t700 (= @t690 @t704)))))) % 0.83/1.09 (assume @p270 (forall @t794 (=> @t324 (=> @t701 (=> @t700 (_ @t691 @t401)))))) % 0.83/1.09 (assume @p271 (forall @t707 (=> @t324 (=> @t701 (=> @t700 (=> @t706 (= (_ @t797 @t642) @t796))))))) % 0.83/1.09 (assume @p272 (forall (@list @t323 @t253 @t657 @t629 @t656) (=> @t324 (=> @t701 (=> (_ @t659 @t401) (=> @t700 (=> (_ @t658 @t401) (= (_ (_ @t688 (_ @t689 @t657)) (_ @t703 @t656)) (_ @t797 (_ (_ @t688 @t657) @t656)))))))))) % 0.83/1.09 (assume @p273 (forall @t798 (=> @t324 (=> @t402 (=> @t702 (= @t709 (_ @t696 @t6))))))) % 0.83/1.09 (assume @p274 (forall @t713 (=> @t324 (=> @t402 (=> @t702 (=> @t712 (= (_ (_ @t688 @t709) @t660) (_ @t697 (_ @t696 @t660))))))))) % 0.83/1.09 (assume @p275 (forall @t707 (=> @t324 (=> @t701 (=> @t700 (=> @t706 (=> @t634 (= @t708 @t795)))))))) % 0.83/1.09 (assume @p276 (forall @t707 (=> @t324 (=> @t701 (=> @t700 (=> @t706 (= @t796 (_ @t703 @t708)))))))) % 0.83/1.09 (assume @p277 (forall @t798 (=> @t324 (=> @t402 (=> @t702 (= @t699 (_ @t710 @t6))))))) % 0.83/1.09 (assume @p278 (forall @t713 (=> @t324 (=> @t402 (=> @t702 (=> @t712 (= (_ (_ @t694 @t699) @t660) (_ @t698 @t711)))))))) % 0.83/1.09 (assume @p279 (forall @t716 (=> @t324 (=> @t701 (=> @t700 (=> @t634 (= @t717 @t715))))))) % 0.83/1.09 (assume @p280 (forall (@list @t323 @t253 @t628) (=> @t324 (=> @t701 (_ (_ tptp.member_a @t717) @t401))))) % 0.83/1.09 (assume @p281 (forall (@list @t354 @t351 @t800 @t799 @t350) (=> (forall @t497 (=> @t586 (_ tptp.aGroup2097840802xt_a_b (_ @t351 @t494)))) (=> (_ (_ tptp.member_d_a @t800) @t356) (=> (_ (_ tptp.member_d_a @t799) @t356) (=> @t355 (= (_ (_ (_ (_ (_ tptp.prod_p711161210xt_a_b @t354) @t351) @t800) @t799) @t350) (_ (_ (_ tptp.pop_a_Ring_ext_a_b @t352) (_ @t800 @t350)) (_ @t799 @t350))))))))) % 0.83/1.09 (assume @p282 (forall (@list @t162 @t358 @t802 @t801 @t357) (=> (forall @t105 (=> @t172 (_ tptp.aGroup2097840802xt_a_b (_ @t358 @t101)))) (=> (_ (_ tptp.member_c_a @t802) @t362) (=> (_ (_ tptp.member_c_a @t801) @t362) (=> @t361 (= (_ (_ (_ (_ (_ tptp.prod_p708888123xt_a_b @t162) @t358) @t802) @t801) @t357) (_ (_ (_ tptp.pop_a_Ring_ext_a_b @t359) (_ @t802 @t357)) (_ @t801 @t357))))))))) % 0.83/1.09 (assume @p283 (forall (@list @t330 @t332 @t329 @t328 @t363) (=> @t338 (=> @t337 (=> @t335 (=> @t365 (= (_ @t415 @t363) (_ (_ (_ tptp.pop_a_Ring_ext_a_b @t364) (_ @t329 @t363)) (_ @t328 @t363))))))))) % 0.83/1.09 (assume @p284 (forall (@list @t162 @t305 @t341 @t340 @t357) (=> @t312 (=> @t345 (=> @t343 (=> @t361 (= (_ @t417 @t357) (_ (_ (_ tptp.pop_d_261713874_d_a_e @t367) (_ @t341 @t357)) (_ @t340 @t357))))))))) % 0.83/1.09 (assume @p285 (forall (@list @t373 @t370 @t804 @t803 @t369) (=> (forall @t126 (=> @t522 (_ tptp.aGroup2097840802xt_a_b (_ @t370 @t122)))) (=> (_ (_ tptp.member_c_d_a @t804) @t375) (=> (_ (_ tptp.member_c_d_a @t803) @t375) (=> @t374 (= (_ (_ (_ (_ (_ tptp.prod_p1466615439xt_a_b @t373) @t370) @t804) @t803) @t369) (_ (_ (_ tptp.pop_a_Ring_ext_a_b @t371) (_ @t804 @t369)) (_ @t803 @t369))))))))) % 0.83/1.09 (assume @p286 (forall (@list @t380 @t377 @t806 @t805 @t376) (=> (forall @t135 (=> @t538 (_ tptp.aGroup2097840802xt_a_b (_ @t377 @t131)))) (=> (_ (_ tptp.member_a_a_a @t806) @t382) (=> (_ (_ tptp.member_a_a_a @t805) @t382) (=> @t381 (= (_ (_ (_ (_ (_ tptp.prod_p1210452560xt_a_b @t380) @t377) @t806) @t805) @t376) (_ (_ (_ tptp.pop_a_Ring_ext_a_b @t378) (_ @t806 @t376)) (_ @t805 @t376))))))))) % 0.83/1.09 (assume @p287 (forall (@list @t387 @t384 @t808 @t807 @t383) (=> (forall @t158 (=> @t530 (_ tptp.aGroup2097840802xt_a_b (_ @t384 @t154)))) (=> (_ (_ tptp.member_a_a_a_a @t808) @t389) (=> (_ (_ tptp.member_a_a_a_a @t807) @t389) (=> @t388 (= (_ (_ (_ (_ (_ tptp.prod_p1460711911xt_a_b @t387) @t384) @t808) @t807) @t383) (_ (_ (_ tptp.pop_a_Ring_ext_a_b @t385) (_ @t808 @t383)) (_ @t807 @t383))))))))) % 0.83/1.09 (assume @p288 (forall (@list @t508 @t812 @t811 @t810 @t809) (=> (forall @t514 (=> @t513 (_ tptp.aGroup2097840802xt_a_b (_ @t812 @t511)))) (=> (_ (_ tptp.member_c_d_c_d_a @t811) @t813) (=> (_ (_ tptp.member_c_d_c_d_a @t810) @t813) (=> (_ (_ tptp.member_c_d_c_d @t809) @t508) (= (_ (_ (_ (_ (_ tptp.prod_p1959959370xt_a_b @t508) @t812) @t811) @t810) @t809) (_ (_ (_ tptp.pop_a_Ring_ext_a_b (_ @t812 @t809)) (_ @t811 @t809)) (_ @t810 @t809))))))))) % 0.83/1.09 (assume @p289 (forall (@list @t550 @t817 @t816 @t815 @t814) (=> (forall @t556 (=> @t555 (_ tptp.aGroup2097840802xt_a_b (_ @t817 @t553)))) (=> (_ (_ tptp.member_a_a_c_d_a @t816) @t818) (=> (_ (_ tptp.member_a_a_c_d_a @t815) @t818) (=> (_ (_ tptp.member_a_a_c_d2 @t814) @t550) (= (_ (_ (_ (_ (_ tptp.prod_p452275129xt_a_b @t550) @t817) @t816) @t815) @t814) (_ (_ (_ tptp.pop_a_Ring_ext_a_b (_ @t817 @t814)) (_ @t816 @t814)) (_ @t815 @t814))))))))) % 0.83/1.09 (assume @p290 (forall (@list @t572 @t822 @t821 @t820 @t819) (=> (forall @t578 (=> @t577 (_ tptp.aGroup2097840802xt_a_b (_ @t822 @t575)))) (=> (_ (_ tptp.member_a_a_a_a_a @t821) @t823) (=> (_ (_ tptp.member_a_a_a_a_a @t820) @t823) (=> (_ (_ tptp.member_a_a_a_a4 @t819) @t572) (= (_ (_ (_ (_ (_ tptp.prod_p46206586xt_a_b @t572) @t822) @t821) @t820) @t819) (_ (_ (_ tptp.pop_a_Ring_ext_a_b (_ @t822 @t819)) (_ @t821 @t819)) (_ @t820 @t819))))))))) % 0.83/1.09 (assume @p291 (forall @t339 (=> @t338 (=> @t825 (=> (_ @t334 @t824) (_ @t416 @t824)))))) % 0.83/1.09 (assume @p292 (forall @t346 (=> @t312 (=> @t826 (=> (_ @t342 @t597) (_ @t418 @t597)))))) % 0.83/1.09 (assume @p293 (forall @t420 (=> @t338 (=> @t825 (_ @t419 @t824))))) % 0.83/1.09 (assume @p294 (forall @t422 (=> @t312 (=> @t826 (_ @t421 @t597))))) % 0.83/1.09 (assume @p295 (forall @t424 (=> @t338 (_ @t423 @t824)))) % 0.83/1.09 (assume @p296 (forall @t313 (=> @t312 (_ @t425 @t597)))) % 0.83/1.09 (assume @p297 (forall (@list @t718) (=> @t726 (_ (_ tptp.member_a_a_a2 @t719) (_ (_ tptp.pi_a_a_a2 @t723) (lambda @t13 (_ (_ tptp.pi_a_a @t723) (lambda @t22 @t723)))))))) % 0.83/1.09 (assume @p298 (forall (@list @t729) (=> @t737 (_ (_ tptp.member_c_d_c_d_c_d @t730) (_ (_ tptp.pi_c_d_c_d_c_d @t734) (lambda @t33 (_ (_ tptp.pi_c_d_c_d @t734) (lambda @t78 @t734)))))))) % 0.83/1.09 (assume @p299 (forall (@list @t323 @t253) (=> @t324 (=> (_ @t255 (_ tptp.j_rad_a_b @t323)) @t701)))) % 0.83/1.09 (assume @p300 (forall @t325 (=> @t324 (_ (_ tptp.member_a_a_a2 @t688) @t827)))) % 0.83/1.09 (assume @p301 (forall @t325 (=> @t324 (_ (_ tptp.member_a_a_a2 @t694) @t827)))) % 0.83/1.09 (assume @p302 (forall (@list @t323 @t508 @t506 @t6 @t505 @t504) (=> @t324 (=> (forall @t514 (=> @t513 (_ @t512 @t323))) (=> @t402 (=> @t510 (=> @t509 (= (_ (_ (_ (_ (_ (_ tptp.algebr828196337_d_d_e @t323) @t508) @t506) @t6) @t505) @t504) @t507)))))))) % 0.83/1.09 (assume @p303 (forall (@list @t323 @t373 @t517 @t6 @t516 @t515) (=> @t324 (=> (forall @t126 (=> @t522 (_ @t521 @t323))) (=> @t402 (=> @t520 (=> @t519 (= (_ (_ (_ (_ (_ (_ tptp.algebr924632044_d_d_e @t323) @t373) @t517) @t6) @t516) @t515) @t518)))))))) % 0.83/1.09 (assume @p304 (forall (@list @t323 @t387 @t525 @t6 @t524 @t523) (=> @t324 (=> (forall @t158 (=> @t530 (_ @t529 @t323))) (=> @t402 (=> @t528 (=> @t527 (= (_ (_ (_ (_ (_ (_ tptp.algebr1655014672_a_d_e @t323) @t387) @t525) @t6) @t524) @t523) @t526)))))))) % 0.83/1.09 (assume @p305 (forall (@list @t323 @t380 @t533 @t6 @t532 @t531) (=> @t324 (=> (forall @t135 (=> @t538 (_ @t537 @t323))) (=> @t402 (=> @t536 (=> @t535 (= (_ (_ (_ (_ (_ (_ tptp.algebr137561451_a_d_e @t323) @t380) @t533) @t6) @t532) @t531) @t534)))))))) % 0.83/1.09 (assume @p306 (forall (@list @t323 @t330 @t541 @t6 @t540 @t539) (=> @t324 (=> (forall @t116 (=> @t331 (_ @t545 @t323))) (=> @t402 (=> @t544 (=> @t543 (= (_ (_ (_ (_ (_ (_ tptp.algebr2109842362_a_d_e @t323) @t330) @t541) @t6) @t540) @t539) @t542)))))))) % 0.83/1.09 (assume @p307 (forall (@list @t323 @t550 @t548 @t6 @t547 @t546) (=> @t324 (=> (forall @t556 (=> @t555 (_ @t554 @t323))) (=> @t402 (=> @t552 (=> @t551 (= (_ (_ (_ (_ (_ (_ tptp.algebr1620716610_d_d_e @t323) @t550) @t548) @t6) @t547) @t546) @t549)))))))) % 0.83/1.09 (assume @p308 (forall (@list @t323 @t561 @t559 @t6 @t558 @t557) (=> @t324 (=> (forall @t567 (=> @t566 (_ @t565 @t323))) (=> @t402 (=> @t563 (=> @t562 (= (_ (_ (_ (_ (_ (_ tptp.algebr2122715238_a_d_e @t323) @t561) @t559) @t6) @t558) @t557) @t560)))))))) % 0.83/1.09 (assume @p309 (forall (@list @t323 @t572 @t570 @t6 @t569 @t568) (=> @t324 (=> (forall @t578 (=> @t577 (_ @t576 @t323))) (=> @t402 (=> @t574 (=> @t573 (= (_ (_ (_ (_ (_ (_ tptp.algebr303206081_a_d_e @t323) @t572) @t570) @t6) @t569) @t568) @t571)))))))) % 0.83/1.09 (assume @p310 (forall (@list @t323 @t354 @t581 @t6 @t580 @t579) (=> @t324 (=> (forall @t497 (=> @t586 (_ @t585 @t323))) (=> @t402 (=> @t584 (=> @t583 (= (_ (_ (_ (_ (_ (_ tptp.algebr417875517_d_d_e @t323) @t354) @t581) @t6) @t580) @t579) @t582)))))))) % 0.83/1.09 (assume @p311 (forall (@list @t323 @t162 @t161 @t6 @t165 @t587) (=> @t324 (=> @t327 (=> @t402 (=> @t168 (=> @t589 (= (_ @t400 @t587) @t588)))))))) % 0.83/1.09 (assume @p312 (forall @t313 (=> @t312 (_ @t426 (_ @t598 (lambda @t33 @t597)))))) % 0.83/1.09 (assume @p313 (=> @t828 (= @t320 @t169))) % 0.83/1.09 (assume @p314 (forall (@list @t832 @t323 @t830 @t829 @t286 @t6) (=> @t837 (=> @t836 (=> @t835 (=> (_ @t289 (_ (_ (_ tptp.mHom_a_b_d_e_d_e @t323) @t832) @t830)) (=> @t402 (= (_ @t286 (_ @t834 @t829)) (_ @t831 (_ @t286 @t829)))))))))) % 0.83/1.09 (assume @p315 (forall (@list @t594 @t323 @t830 @t165 @t838 @t6) (=> @t842 (=> @t836 (=> @t841 (=> (_ (_ tptp.member_c_d_d @t838) (_ (_ (_ tptp.mHom_a764575953it_d_e @t323) @t594) @t830)) (=> @t402 (= (_ @t838 (_ @t840 @t165)) (_ @t831 (_ @t838 @t165)))))))))) % 0.83/1.09 (assume @p316 (forall (@list @t832 @t323 @t6 @t70 @t829) (=> @t837 (=> @t402 (=> @t702 (=> @t835 (= (_ (_ @t833 @t709) @t829) (_ @t834 (_ (_ @t833 @t70) @t829))))))))) % 0.83/1.09 (assume @p317 (forall (@list @t594 @t323 @t6 @t70 @t165) (=> @t842 (=> @t402 (=> @t702 (=> @t841 (= (_ (_ @t839 @t709) @t165) (_ @t840 (_ (_ @t839 @t70) @t165))))))))) % 0.83/1.09 (assume @p318 (forall (@list @t323 @t57 @t594 @t593) (=> @t324 (=> (_ @t60 (_ (_ (_ tptp.mHom_a1526663829t_unit @t323) @t594) @t593)) @t596)))) % 0.83/1.09 (assume @p319 (forall (@list @t323 @t501 @t6 @t70) (=> @t324 (=> (_ (_ tptp.subring_a_b_b @t323) @t501) (=> @t682 (=> @t681 (= @t684 @t699))))))) % 0.83/1.09 (assume @p320 (forall (@list @t253 @t628 @t843) (=> @t319 (= (_ @t680 (_ @t632 @t843)) (_ @t632 (_ (_ tptp.plus_plus_nat @t628) @t843)))))) % 0.83/1.09 (assume @p321 (forall (@list @t603 @t845 @t844) (=> (= @t603 @t845) (= (_ (_ tptp.plus_plus_nat @t603) @t844) (_ (_ tptp.plus_plus_nat @t845) @t844))))) % 0.83/1.09 (assume @p322 (forall @t592 (=> @t687 (_ (_ tptp.ord_less_eq_set_a @t590) @t169)))) % 0.83/1.09 (assume @p323 (=> @t828 (not (exists (@list @t846) (_ @t847 @t846))))) % 0.83/1.09 (assume @p324 (=> @t849 (exists (@list @t848) (_ @t847 @t848)))) % 0.83/1.09 (assume @p325 (_ (_ tptp.member_a_a @t850) (_ @t638 (lambda @t13 @t169)))) % 0.83/1.09 (assume @p326 (forall (@list @t590 @t253) (=> @t591 (=> @t674 (_ (_ tptp.member_a @t851) @t590))))) % 0.83/1.09 (assume @p327 (forall @t668 (=> @t170 (=> @t666 (and @t857 @t854))))) % 0.83/1.09 (assume @p328 (forall @t668 (=> @t170 (=> @t666 @t857)))) % 0.83/1.09 (assume @p329 (forall @t668 (=> @t170 (=> @t666 @t854)))) % 0.83/1.09 (assume @p330 (forall @t668 (=> @t170 (=> @t666 (= @t663 (_ @t856 @t852)))))) % 0.83/1.09 (assume @p331 (forall @t679 (=> @t170 (=> @t666 (=> @t319 (=> @t636 (= (_ @t677 (_ @t850 @t651)) (_ (_ @t641 (_ @t662 (_ @t669 (_ @t850 @t629)))) (_ (_ @t640 (_ @t671 @t851)) @t629))))))))) % 0.83/1.09 (assume @p332 (forall @t860 (=> @t849 (=> @t170 (=> (not (_ @t859 @t6)) (exists (@list @t858) (and (_ @t847 @t858) (_ @t10 @t858)))))))) % 0.83/1.09 (assume @p333 (forall (@list @t6 @t330 @t70 @t861) (=> (_ @t10 @t330) (=> (_ @t71 @t861) (=> (_ (_ tptp.ord_less_eq_set_a @t330) @t169) (=> (_ (_ tptp.ord_less_eq_set_a @t861) @t169) (_ @t862 (_ (_ (_ tptp.aset_s1743553894xt_a_b tptp.r) @t330) @t861)))))))) % 0.83/1.09 (assume @p334 (forall @t866 (=> @t865 (=> @t864 (=> (_ @t10 @t863) (=> (_ @t71 @t863) (_ @t862 @t863))))))) % 0.83/1.09 (assume @p335 (forall (@list @t9 @t17) (=> @t865 (=> @t864 (_ (_ tptp.ord_less_eq_set_a @t863) @t169))))) % 0.83/1.09 (assume @p336 (forall @t866 (=> @t865 (=> @t864 (=> @t11 (=> @t72 (_ (_ tptp.member_a @t663) @t863))))))) % 0.83/1.09 (assume @p337 (forall (@list @t868 @t869) (=> (_ (_ tptp.ord_less_eq_nat @t868) @t869) (exists (@list @t867) (= @t869 (_ (_ tptp.plus_plus_nat @t868) @t867)))))) % 0.83/1.09 (assume @p338 (forall @t322 (=> @t849 (=> @t321 (forall (@list @t870) (=> (_ (_ tptp.member_a @t870) @t169) (_ @t859 (_ (_ @t641 @t871) (_ (_ @t640 @t851) @t870))))))))) % 0.83/1.09 (assume @p339 (_ @t872 @t169)) % 0.83/1.09 (assume @p340 (forall @t875 (=> @t874 (not (_ @t872 @t873))))) % 0.83/1.09 (assume @p341 (forall @t592 (=> @t591 (_ @t872 @t590)))) % 0.83/1.09 (assume @p342 (forall @t860 (=> @t170 (= (_ @t876 @t6) @t6)))) % 0.83/1.09 (assume @p343 (forall @t322 (=> @t319 (= (_ @t876 @t253) @t253)))) % 0.83/1.09 (assume @p344 (forall @t322 (=> @t319 (= (_ @t645 @t871) @t253)))) % 0.83/1.09 (assume @p345 (forall @t860 (=> @t170 (= @t855 (_ @t662 @t877))))) % 0.83/1.09 (assume @p346 (forall @t860 (=> @t170 (= @t855 (_ (_ @t640 @t877) @t6))))) % 0.83/1.09 (assume @p347 (forall @t875 (=> @t849 (=> @t874 (=> (forall @t116 (=> (_ @t114 @t873) (_ @t859 (_ (_ @t641 @t112) @t871)))) (_ tptp.local_ring_a_b tptp.r)))))) % 0.83/1.09 (assume @p348 (forall (@list @t878) (=> (_ (_ tptp.primary_ideal_a_b tptp.r) @t878) (not (_ @t872 @t878))))) % 0.83/1.09 (assume @p349 (forall @t879 (_ (_ tptp.ord_less_eq_nat @t628) @t628))) % 0.83/1.09 (assume @p350 (forall (@list @t843 @t628) (=> (= @t843 @t628) (_ (_ tptp.ord_less_eq_nat @t843) @t628)))) % 0.83/1.09 (assume @p351 (forall @t879 (_ (_ tptp.member_nat @t628) @t881))) % 0.83/1.09 (assume @p352 (forall (@list @t882 @t628) (=> (_ (_ tptp.ord_less_eq_nat @t882) @t628) (_ (_ tptp.member_nat @t882) @t881)))) % 0.83/1.09 (assume @p353 (forall (@list @t883) (=> (_ (_ tptp.member_c @t883) tptp.i) (_ (_ tptp.module_d_a_e_b (_ tptp.m @t883)) tptp.r)))) % 0.83/1.09 (assume @p354 (and (_ (_ tptp.member_c_d_c_d_c_d @t886) (_ (_ tptp.pi_c_d_c_d_c_d @t889) (lambda @t33 (_ @t898 (lambda @t78 @t889))))) (forall @t893 (=> @t891 (forall @t906 (=> @t905 (forall (@list @t910) (=> (_ (_ tptp.member_c_d @t910) @t889) (= (_ (_ @t886 @t902) @t910) (_ @t901 (_ @t900 @t910))))))))) @t909 (_ (_ tptp.member_c_d_c_d @t897) (_ @t898 (lambda @t33 @t889))) (forall @t893 (=> @t891 (= (_ (_ @t886 (_ @t897 @t884)) @t884) @t885))) @t896 @t894)) % 0.83/1.09 (assume @p355 @t919) % 0.83/1.09 (assume @p356 true) % 0.83/1.09 (step @p357 :rule evaluate :args ((= false true))) % 0.83/1.09 (step @p358 :rule aci_norm :args ((= @t927 (or @t925 @t923 @t921)))) % 0.83/1.09 (step @p359 :rule cong :premises (@p358) :args (@t928)) % 0.83/1.09 (step @p360 :rule quant-merge-prenex :args ((= (forall @t893 @t930) @t928))) % 0.83/1.09 (step @p361 :rule alpha_equiv :args (@t931 (@list @t920) (@list @t899))) % 0.83/1.09 (step @p362 :rule refl :args (@t925)) % 0.83/1.09 (step @p363 :rule nary_cong :premises (@p362 @p361) :args (@t932)) % 0.83/1.09 (step @p364 :rule quant-miniscope-or :args ((= @t930 @t932))) % 0.83/1.09 (step @p365 :rule trans :premises (@p364 @p363)) % 0.83/1.09 (step @p366 :rule symm :premises (@p365)) % 0.83/1.09 (step @p367 :rule cong :premises (@p366) :args ((forall @t893 (or @t925 @t934)))) % 0.83/1.09 (step @p368 :rule trans :premises (@p367 @p360)) % 0.83/1.09 (step @p369 :rule trans :premises (@p368 @p359)) % 0.83/1.09 (step @p370 :rule refl :args (@t934)) % 0.83/1.09 (step @p371 :rule refl :args ((tptp.member_c_d @t884 @t889))) % 0.83/1.09 (step @p372 :rule refl :args (@t922)) % 0.83/1.09 (step @p373 :rule refl :args (@t884)) % 0.83/1.09 (step @p374 :rule cong :premises (@p373 @p372) :args (@t924)) % 0.83/1.09 (step @p375 :rule trans :premises (@p374 @p371)) % 0.83/1.09 (step @p376 :rule refl :args (@t890)) % 0.83/1.09 (step @p377 :rule ho_cong :premises (@p376 @p372)) % 0.83/1.09 (step @p378 :rule cong :premises (@p377 @p375) :args ((= (_ @t890 @t922) @t924))) % 0.83/1.09 (step @p379 :rule symm :premises (@p378)) % 0.83/1.09 (step @p380 :rule refl :args (@t891)) % 0.83/1.09 (step @p381 :rule eq_resolve :premises (@p380 @p379)) % 0.83/1.09 (step @p382 :rule refl :args (@t889)) % 0.83/1.09 (step @p383 :rule cong :premises (@p382 @p372) :args ((= @t889 @t922))) % 0.83/1.09 (step @p384 :rule symm :premises (@p383)) % 0.83/1.09 (step @p385 :rule eq_resolve :premises (@p382 @p384)) % 0.83/1.09 (step @p386 :rule ho_cong :premises (@p376 @p385)) % 0.83/1.09 (step @p387 :rule trans :premises (@p386 @p381)) % 0.83/1.09 (step @p388 :rule cong :premises (@p387) :args (@t935)) % 0.83/1.09 (step @p389 :rule nary_cong :premises (@p388 @p370) :args (@t936)) % 0.83/1.09 (step @p390 :rule cong :premises (@p389) :args ((forall @t893 @t936))) % 0.83/1.09 (step @p391 :rule trans :premises (@p390 @p369)) % 0.83/1.09 (step @p392 :rule bool-impl-elim :args (@t891 @t934)) % 0.83/1.09 (step @p393 :rule cong :premises (@p392) :args ((forall @t893 (=> @t891 @t934)))) % 0.83/1.09 (step @p394 :rule trans :premises (@p393 @p391)) % 0.83/1.09 (step @p395 :rule refl :args (@t903)) % 0.83/1.09 (step @p396 :rule refl :args ((tptp.member_c_d @t899 @t889))) % 0.83/1.09 (step @p397 :rule refl :args (@t899)) % 0.83/1.09 (step @p398 :rule cong :premises (@p397 @p372) :args (@t933)) % 0.83/1.09 (step @p399 :rule trans :premises (@p398 @p396)) % 0.83/1.09 (step @p400 :rule refl :args (@t904)) % 0.83/1.09 (step @p401 :rule ho_cong :premises (@p400 @p372)) % 0.83/1.09 (step @p402 :rule cong :premises (@p401 @p399) :args ((= (_ @t904 @t922) @t933))) % 0.83/1.09 (step @p403 :rule symm :premises (@p402)) % 0.83/1.09 (step @p404 :rule refl :args (@t905)) % 0.83/1.09 (step @p405 :rule eq_resolve :premises (@p404 @p403)) % 0.83/1.09 (step @p406 :rule ho_cong :premises (@p400 @p385)) % 0.83/1.09 (step @p407 :rule trans :premises (@p406 @p405)) % 0.83/1.09 (step @p408 :rule cong :premises (@p407) :args (@t937)) % 0.83/1.09 (step @p409 :rule nary_cong :premises (@p408 @p395) :args (@t938)) % 0.83/1.09 (step @p410 :rule cong :premises (@p409) :args ((forall @t906 @t938))) % 0.83/1.09 (step @p411 :rule bool-impl-elim :args (@t905 @t903)) % 0.83/1.09 (step @p412 :rule cong :premises (@p411) :args (@t907)) % 0.83/1.09 (step @p413 :rule trans :premises (@p412 @p410)) % 0.83/1.09 (step @p414 :rule refl :args (@t891)) % 0.83/1.09 (step @p415 :rule cong :premises (@p414 @p413) :args (@t908)) % 0.83/1.09 (step @p416 :rule cong :premises (@p415) :args (@t909)) % 0.83/1.09 (step @p417 :rule trans :premises (@p416 @p394)) % 0.83/1.09 (step @p418 :rule and_elim :premises (@p354) :args (2)) % 0.83/1.09 (step @p419 :rule eq_resolve :premises (@p418 @p417)) % 0.83/1.09 (step @p420 :rule instantiate :premises (@p419) :args ((@list @t941 @t885))) % 0.83/1.09 (step @p421 :rule refl :args (@t939)) % 0.83/1.09 (step @p422 :rule refl :args ((tptp.member_c_d @t911 @t889))) % 0.83/1.09 (step @p423 :rule refl :args (@t911)) % 0.83/1.09 (step @p424 :rule cong :premises (@p423 @p372) :args (@t940)) % 0.83/1.09 (step @p425 :rule trans :premises (@p424 @p422)) % 0.83/1.09 (step @p426 :rule refl :args (@t913)) % 0.83/1.09 (step @p427 :rule ho_cong :premises (@p426 @p372)) % 0.83/1.09 (step @p428 :rule cong :premises (@p427 @p425) :args ((= (_ @t913 @t922) @t940))) % 0.83/1.09 (step @p429 :rule symm :premises (@p428)) % 0.83/1.09 (step @p430 :rule refl :args (@t914)) % 0.83/1.09 (step @p431 :rule eq_resolve :premises (@p430 @p429)) % 0.83/1.09 (step @p432 :rule ho_cong :premises (@p426 @p385)) % 0.83/1.09 (step @p433 :rule trans :premises (@p432 @p431)) % 0.83/1.09 (step @p434 :rule cong :premises (@p433) :args (@t915)) % 0.83/1.09 (step @p435 :rule nary_cong :premises (@p434 @p421) :args (@t942)) % 0.83/1.09 (step @p436 :rule cong :premises (@p435) :args ((forall @t917 @t942))) % 0.83/1.09 (step @p437 :rule eq-symm :args (@t912 @t911)) % 0.83/1.09 (step @p438 :rule refl :args (@t915)) % 0.83/1.09 (step @p439 :rule nary_cong :premises (@p438 @p437) :args (@t916)) % 0.83/1.09 (step @p440 :rule cong :premises (@p439) :args (@t918)) % 0.83/1.09 (step @p441 :rule trans :premises (@p440 @p436)) % 0.83/1.09 (step @p442 :rule cong :premises (@p441) :args (@t919)) % 0.83/1.09 (step @p443 :rule eq_resolve :premises (@p355 @p442)) % 0.83/1.09 (step @p444 :rule skolemize :premises (@p443)) % 0.83/1.09 (step @p445 :rule bool-double-not-elim :args (@t943)) % 0.83/1.09 (step @p446 :rule refl :args (@t947)) % 0.83/1.09 (step @p447 :rule nary_cong :premises (@p446 @p445) :args ((or @t947 (not @t946)))) % 0.83/1.09 (step @p448 :rule cnf_or_neg :args (@t947 0)) % 0.83/1.09 (step @p449 :rule eq_resolve :premises (@p448 @p447)) % 0.83/1.09 (step @p450 :rule reordering :premises (@p449) :args ((or @t943 @t947))) % 0.83/1.09 (step @p451 :rule chain_m_resolution :premises (@p450 @p444) :args (@t943 @t948 @t949)) % 0.83/1.09 (step @p452 :rule refl :args ((tptp.member_c_d @t885 @t889))) % 0.83/1.09 (step @p453 :rule refl :args (@t885)) % 0.83/1.09 (step @p454 :rule cong :premises (@p453 @p372) :args (@t950)) % 0.83/1.09 (step @p455 :rule trans :premises (@p454 @p452)) % 0.83/1.09 (step @p456 :rule refl :args (@t895)) % 0.83/1.09 (step @p457 :rule ho_cong :premises (@p456 @p372)) % 0.83/1.09 (step @p458 :rule cong :premises (@p457 @p455) :args ((= (_ @t895 @t922) @t950))) % 0.83/1.09 (step @p459 :rule symm :premises (@p458)) % 0.83/1.09 (step @p460 :rule refl :args (@t896)) % 0.83/1.09 (step @p461 :rule eq_resolve :premises (@p460 @p459)) % 0.83/1.09 (step @p462 :rule eq_resolve :premises (@p382 @p384)) % 0.83/1.09 (step @p463 :rule refl :args (@t895)) % 0.83/1.09 (step @p464 :rule ho_cong :premises (@p463 @p462)) % 0.83/1.09 (step @p465 :rule trans :premises (@p464 @p461)) % 0.83/1.09 (step @p466 :rule and_elim :premises (@p354) :args (5)) % 0.83/1.09 (step @p467 :rule eq_resolve :premises (@p466 @p465)) % 0.83/1.09 (step @p468 :rule cnf_or_pos :args (@t954)) % 0.83/1.09 (step @p469 :rule reordering :premises (@p468) :args ((or @t953 @t946 @t952 (not @t954)))) % 0.83/1.09 (step @p470 :rule chain_m_resolution :premises (@p469 @p467 @p451 @p420) :args (@t952 (@list false false false) (@list @t950 @t943 @t954))) % 0.83/1.09 (step @p471 :rule symm :premises (@p470)) % 0.83/1.09 (step @p472 :rule refl :args (@t955)) % 0.83/1.09 (step @p473 :rule nary_cong :premises (@p388 @p472) :args (@t956)) % 0.83/1.09 (step @p474 :rule cong :premises (@p473) :args ((forall @t893 @t956))) % 0.83/1.09 (step @p475 :rule bool-impl-elim :args (@t891 @t955)) % 0.83/1.09 (step @p476 :rule cong :premises (@p475) :args ((forall @t893 (=> @t891 @t955)))) % 0.83/1.09 (step @p477 :rule trans :premises (@p476 @p474)) % 0.83/1.09 (step @p478 :rule eq-symm :args (@t888 @t884)) % 0.83/1.09 (step @p479 :rule cong :premises (@p414 @p478) :args (@t892)) % 0.83/1.09 (step @p480 :rule cong :premises (@p479) :args (@t894)) % 0.83/1.09 (step @p481 :rule trans :premises (@p480 @p477)) % 0.83/1.09 (step @p482 :rule and_elim :premises (@p354) :args (6)) % 0.83/1.09 (step @p483 :rule eq_resolve :premises (@p482 @p481)) % 0.83/1.09 (step @p484 :rule instantiate :premises (@p483) :args ((@list @t941))) % 0.83/1.09 (step @p485 :rule cnf_or_pos :args (@t958)) % 0.83/1.09 (step @p486 :rule reordering :premises (@p485) :args ((or @t946 @t957 (not @t958)))) % 0.83/1.09 (step @p487 :rule chain_m_resolution :premises (@p486 @p451 @p484) :args (@t957 (@list false false) (@list @t943 @t958))) % 0.83/1.09 (step @p488 :rule trans :premises (@p487 @p471)) % 0.83/1.09 (step @p489 :rule true_intro :premises (@p488)) % 0.83/1.09 (step @p490 :rule cnf_or_neg :args (@t947 1)) % 0.83/1.09 (step @p491 :rule chain_m_resolution :premises (@p490 @p444) :args ((not @t945) @t948 @t949)) % 0.83/1.09 (step @p492 :rule false_intro :premises (@p491)) % 0.83/1.09 (step @p493 :rule symm :premises (@p492)) % 0.83/1.09 (step @p494 :rule trans :premises (@p493 @p489)) % 0.83/1.09 (step @p495 false :rule eq_resolve :premises (@p494 @p357)) % 0.83/1.09 ) % 0.83/1.09 % SZS output end Proof % 0.83/1.09 % cvc5 exiting %------------------------------------------------------------------------------