%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM641+4 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:40:08 AM UTC 2026 % Result : Theorem 236.46s 236.73s % Output : Proof 236.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM641+4 : TPTP v9.2.1. Released v7.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n021.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 11:41:20 EDT 2026 % 0.15/0.34 % CPUTime : % 0.38/0.59 %----Proving TF0_NAR, FOF, or CNF % 236.46/236.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 236.46/236.73 --- Run --no-e-matching --full-saturate-quant at 6... % 236.46/236.73 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 236.46/236.73 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 236.46/236.73 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 236.46/236.73 --- Run --trigger-sel=max --full-saturate-quant at 15... % 236.46/236.73 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 236.46/236.73 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 236.46/236.73 --- Run --prenex-quant=none --full-saturate-quant at 30... % 236.46/236.73 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 236.46/236.73 --- Run --relevant-triggers --full-saturate-quant at 30... % 236.46/236.73 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 236.46/236.73 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 236.46/236.73 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 236.46/236.73 % SZS status Theorem % 236.46/236.73 % SZS output start Proof % 236.46/236.73 ( % 236.46/236.73 (declare-sort $$unsorted 0) % 236.46/236.73 (declare-const tptp.aTP_Lamm_ak (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aa_TPT1123896796d_bool (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_ay (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_dg (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bb (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_dj (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bp $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_dl $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_df (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_di (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_dc (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_db (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bv $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_da (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_cw (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_cu (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_cs (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_cq (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_cl $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_ck $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_cf $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_ch $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_an (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_cb $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bx $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_cz (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_br $$unsorted) % 236.46/236.73 (declare-const tptp.scratc1451164978_is_of (-> $$unsorted $$unsorted Bool)) % 236.46/236.73 (declare-const tptp.scratc952408420d_Subq $$unsorted) % 236.46/236.73 (declare-const tptp.scratc633591742closed $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bo (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1550011566bnd_if (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_cd $$unsorted) % 236.46/236.73 (declare-const tptp.cOMBS_2003118649l_bool (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.cOMBB_658106424TP_ind (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.cOMBC_1555011498d_bool (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_cy (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aa_fun1235454963TP_ind (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bm (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1376844911_rec_G (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_cn (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bt $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bk $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bq $$unsorted) % 236.46/236.73 (declare-const tptp.scratc134999576In_rec (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_a $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bj $$unsorted) % 236.46/236.73 (declare-const tptp.scratc957265209nunion (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1679165214d_Inj0 $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bh $$unsorted) % 236.46/236.73 (declare-const tptp.scratc339482526_d_Unj $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bf $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bd (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aa_fun1913827119d_bool (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.fimplies $$unsorted) % 236.46/236.73 (declare-const tptp.scratc1137838734closed $$unsorted) % 236.46/236.73 (declare-const tptp.scratc268548109nd_wel (-> $$unsorted Bool)) % 236.46/236.73 (declare-const tptp.scratc1175657942bvious Bool) % 236.46/236.73 (declare-const tptp.aTP_Lamm_dd (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1332762030_l_iff (-> $$unsorted $$unsorted Bool)) % 236.46/236.73 (declare-const tptp.scratc759817357d_and3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 236.46/236.73 (declare-const tptp.scratc2071121729_orec3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_ca $$unsorted) % 236.46/236.73 (declare-const tptp.scratc310575295nverse (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_aw (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc280311546d_i1_s $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bs $$unsorted) % 236.46/236.73 (declare-const tptp.scratc1525024638_union $$unsorted) % 236.46/236.73 (declare-const tptp.scratc1896920188_empty $$unsorted) % 236.46/236.73 (declare-const tptp.scratc480860347_prop1 $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_at (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_cx (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1684187121n_some $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_as (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.fconj $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_ae $$unsorted) % 236.46/236.73 (declare-const tptp.scratc45782132nd_n_1 $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_aa $$unsorted) % 236.46/236.73 (declare-const tptp.scratc1146670207_prop3 (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_be (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1146670205_prop1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_cm $$unsorted) % 236.46/236.73 (declare-const tptp.pp (-> $$unsorted Bool)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_co $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_az (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc940362479l_some (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_al (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_cj $$unsorted) % 236.46/236.73 (declare-const tptp.scratc2122730866d_24_g $$unsorted) % 236.46/236.73 (declare-const tptp.aa_TPT125613450d_bool (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc952359486d_l_or (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_ci $$unsorted) % 236.46/236.73 (declare-const tptp.scratc561998463d_incl (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_ac (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_cr (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aa_TPT494704832TP_ind (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_cv (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bl $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_ad $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_ax (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aa_TPT43085870d_bool (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc873550751tminus (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc2011078052_n_all $$unsorted) % 236.46/236.73 (declare-const tptp.scratc120562615nd_eps (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_ce $$unsorted) % 236.46/236.73 (declare-const tptp.scratc1657584698_prop2 $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_by $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_cc $$unsorted) % 236.46/236.73 (declare-const tptp.scratc423746188d_d_Pi $$unsorted) % 236.46/236.73 (declare-const tptp.scratc203505661nd_out (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1084070009d_n_pl (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_ct (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1549486784bnd_ap $$unsorted) % 236.46/236.73 (declare-const tptp.scratc319294504ectelt (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_au (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1146276610_proj0 $$unsorted) % 236.46/236.73 (declare-const tptp.scratc546250696etprod (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc119709829nd_ect (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.undefined_TPTP_ind (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.fTrue $$unsorted) % 236.46/236.73 (declare-const tptp.scratc203046453nd_one (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_af $$unsorted) % 236.46/236.73 (declare-const tptp.aa_fun1431113780TP_ind (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aa_TPT2142672771l_bool (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1061739109second (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc119709764nd_ec3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1604075772_UPair (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1161393343_cond2 $$unsorted) % 236.46/236.73 (declare-const tptp.scratc1083610818d_n_in $$unsorted) % 236.46/236.73 (declare-const tptp.scratc546085760_d_not (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.gg_TPTP_ind (-> $$unsorted Bool)) % 236.46/236.73 (declare-const tptp.undefined_bool (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1679165215d_Inj1 $$unsorted) % 236.46/236.73 (declare-const tptp.scratc563244838d_invf (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bc (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc912327602rdsucc $$unsorted) % 236.46/236.73 (declare-const tptp.bool $$unsorted) % 236.46/236.73 (declare-const tptp.scratc1071331552d_repl $$unsorted) % 236.46/236.73 (declare-const tptp.aa_bool_bool (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.gg_bool (-> $$unsorted Bool)) % 236.46/236.73 (declare-const tptp.scratc322369131_d_Sep (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1146670208_prop4 $$unsorted) % 236.46/236.73 (declare-const tptp.aa_TPTP_ind_bool (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1657584697_prop1 $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_cp (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_ba (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1083610823d_n_is $$unsorted) % 236.46/236.73 (declare-const tptp.scratc438620580_d_and (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aa_fun987228051d_bool (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc153477422nd_ind (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc2110891758munion $$unsorted) % 236.46/236.73 (declare-const tptp.scratc57423676_prop1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1745451206ptyset $$unsorted) % 236.46/236.73 (declare-const tptp.scratc1949829805d_pair (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_ab $$unsorted) % 236.46/236.73 (declare-const tptp.scratc951703481d_l_ec (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bg (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1933877819d_soft (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc193932176nd_nat $$unsorted) % 236.46/236.73 (declare-const tptp.aa_fun1212484691d_bool (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bi $$unsorted) % 236.46/236.73 (declare-const tptp.scratc43785844_inj_h (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc315931824_omega $$unsorted) % 236.46/236.73 (declare-const tptp.scratc441507399_ecect (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_aj (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1069222522_prop1 $$unsorted) % 236.46/236.73 (declare-const tptp.aa_fun845057962d_bool (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc854057538d_Sing $$unsorted) % 236.46/236.73 (declare-const tptp.scratc566981369d_tofs (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1709589394_Sigma $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_cg $$unsorted) % 236.46/236.73 (declare-const tptp.scratc119709825nd_ecp (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc203308799nd_or3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aa_TPTP_ind_TPTP_ind (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc194456967nd_nis $$unsorted) % 236.46/236.73 (declare-const tptp.aa_fun277296641TP_ind (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bw $$unsorted) % 236.46/236.73 (declare-const tptp.scratc2035434666_image (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.fFalse $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bu $$unsorted) % 236.46/236.73 (declare-const tptp.scratc1770865966univof $$unsorted) % 236.46/236.73 (declare-const tptp.scratc759883004d_anec (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bn (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1161393342_cond1 $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_de (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc983731570d_orec (-> $$unsorted $$unsorted Bool)) % 236.46/236.73 (declare-const tptp.scratc324534245hangef (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc2126870313_n_one $$unsorted) % 236.46/236.73 (declare-const tptp.scratc1777039668d_esti (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1564950462d_e_is (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1675368811closed $$unsorted) % 236.46/236.73 (declare-const tptp.scratc153871017nd_ite (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_ag $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_dk (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc788888630d_11_i (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc693191546_indeq (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc468858728closed $$unsorted) % 236.46/236.73 (declare-const tptp.scratc1930628756sel_wa (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1853463352indeq2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.tPTP_ind $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_ah (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc769077573pair_p $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_am (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aa_TPT60673477d_bool (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_dh (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_ai $$unsorted) % 236.46/236.73 (declare-const tptp.scratc1829701671all_of (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1624975209_amone (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc153411835nd_imp $$unsorted) % 236.46/236.73 (declare-const tptp.aa_boo1142376798l_bool (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc2069953503fixfu2 (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_aq (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aa_fun1107270209d_bool (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1290387246t_disj (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc2126792979_fixfu (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc194850556nd_non (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.fEx_TPTP_ind (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1017762772_power $$unsorted) % 236.46/236.73 (declare-const tptp.scratc1337809184_nat_p $$unsorted) % 236.46/236.73 (declare-const tptp.scratc1564950457d_e_in (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_bz $$unsorted) % 236.46/236.73 (declare-const tptp.aa_TPT1424761345TP_ind (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc442097790_ecelt (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc192357794nd_nIn $$unsorted) % 236.46/236.73 (declare-const tptp.scratc87254192nd_all (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aa_TPT1791839040TP_ind (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1715799339d_plus $$unsorted) % 236.46/236.73 (declare-const tptp.scratc434496381ectset (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_ap (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aa_TPT1781712639TP_ind (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aa_fun1584354236d_bool (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc540613727unmore (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1991259070etprop (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aa_TPT985247859d_bool (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.fequal_TPTP_ind $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_ar (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc2031046193nempty $$unsorted) % 236.46/236.73 (declare-const tptp.aTP_Lamm_av (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1550011574bnd_in $$unsorted) % 236.46/236.73 (declare-const tptp.scratc1346638271d_r_ec (-> $$unsorted $$unsorted Bool)) % 236.46/236.73 (declare-const tptp.scratc1930628757sel_wb (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc302523178wissel (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc407235996eplSep (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1146276611_proj1 $$unsorted) % 236.46/236.73 (declare-const tptp.scratc1146670206_prop2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc2078076735_first (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc1624135595d_pair $$unsorted) % 236.46/236.73 (declare-const tptp.scratc1527004365ective (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aa_fun171081125l_bool (-> $$unsorted $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc187235926ective (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.aTP_Lamm_ao (-> $$unsorted $$unsorted)) % 236.46/236.73 (declare-const tptp.scratc370955156ective (-> $$unsorted $$unsorted)) % 236.46/236.73 (define @t1 () (@var "B_2" $$unsorted)) % 236.46/236.73 (define @t2 () (@var "B_1" $$unsorted)) % 236.46/236.73 (define @t3 () (@list @t2 @t1)) % 236.46/236.73 (define @t4 () (@list @t2)) % 236.46/236.73 (define @t5 () (@var "B_3" $$unsorted)) % 236.46/236.73 (define @t6 () (@list @t2 @t1 @t5)) % 236.46/236.73 (define @t7 () (@var "X" $$unsorted)) % 236.46/236.73 (define @t8 () (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1715799339d_plus @t7)) % 236.46/236.73 (define @t9 () (@list @t7)) % 236.46/236.73 (define @t10 () (tptp.aa_TPT43085870d_bool tptp.scratc1657584698_prop2 @t7)) % 236.46/236.73 (define @t11 () (tptp.aa_fun277296641TP_ind (tptp.aa_TPT494704832TP_ind tptp.scratc423746188d_d_Pi tptp.scratc193932176nd_nat) tptp.aTP_Lamm_ab)) % 236.46/236.73 (define @t12 () (@var "Xb" $$unsorted)) % 236.46/236.73 (define @t13 () (@var "Xa" $$unsorted)) % 236.46/236.73 (define @t14 () (tptp.aa_TPT1424761345TP_ind tptp.scratc1549486784bnd_ap @t13)) % 236.46/236.73 (define @t15 () (tptp.aa_TPT1424761345TP_ind tptp.scratc1549486784bnd_ap @t7)) % 236.46/236.73 (define @t16 () (@list @t7 @t13 @t12)) % 236.46/236.73 (define @t17 () (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc912327602rdsucc @t7)) % 236.46/236.73 (define @t18 () (@list @t7 @t13)) % 236.46/236.73 (define @t19 () (tptp.aa_TPT43085870d_bool tptp.scratc1083610823d_n_is @t7)) % 236.46/236.73 (define @t20 () (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc912327602rdsucc tptp.scratc1745451206ptyset)) % 236.46/236.73 (define @t21 () (tptp.scratc1564950462d_e_is tptp.scratc193932176nd_nat)) % 236.46/236.73 (define @t22 () (tptp.scratc322369131_d_Sep tptp.scratc315931824_omega)) % 236.46/236.73 (define @t23 () (tptp.aa_fun1431113780TP_ind @t22 tptp.aTP_Lamm_ag)) % 236.46/236.73 (define @t24 () (@var "Xd" $$unsorted)) % 236.46/236.73 (define @t25 () (@var "Xc" $$unsorted)) % 236.46/236.73 (define @t26 () (tptp.scratc788888630d_11_i @t7 @t13 @t12)) % 236.46/236.73 (define @t27 () (tptp.scratc693191546_indeq @t7 @t13 @t12)) % 236.46/236.73 (define @t28 () (@list @t7 @t13 @t12 @t25 @t24)) % 236.46/236.73 (define @t29 () (tptp.aa_TPT494704832TP_ind tptp.scratc423746188d_d_Pi @t7)) % 236.46/236.73 (define @t30 () (tptp.scratc1829701671all_of (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_ai @t7))) % 236.46/236.73 (define @t31 () (@list @t7 @t13 @t12 @t25)) % 236.46/236.73 (define @t32 () (tptp.aa_TPT43085870d_bool (tptp.scratc1146670206_prop2 @t7 @t13 @t12 @t25) @t24)) % 236.46/236.73 (define @t33 () (@var "Xe" $$unsorted)) % 236.46/236.73 (define @t34 () (tptp.aa_TPT43085870d_bool (tptp.scratc57423676_prop1 @t7 @t13 @t12 @t25 @t24) @t33)) % 236.46/236.73 (define @t35 () (tptp.scratc940362479l_some @t7)) % 236.46/236.73 (define @t36 () (@var "Xf" $$unsorted)) % 236.46/236.73 (define @t37 () (tptp.scratc441507399_ecect @t7 @t13)) % 236.46/236.73 (define @t38 () (tptp.scratc1777039668d_esti @t7)) % 236.46/236.73 (define @t39 () (tptp.scratc759883004d_anec @t7 @t13)) % 236.46/236.73 (define @t40 () (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1017762772_power @t7)) % 236.46/236.73 (define @t41 () (tptp.scratc442097790_ecelt @t7 @t13)) % 236.46/236.73 (define @t42 () (tptp.aa_TPTP_ind_TPTP_ind @t41 @t12)) % 236.46/236.73 (define @t43 () (tptp.scratc434496381ectset @t7 @t13)) % 236.46/236.73 (define @t44 () (tptp.aa_TPT43085870d_bool (tptp.scratc119709825nd_ecp @t7 @t13) @t12)) % 236.46/236.73 (define @t45 () (tptp.scratc322369131_d_Sep @t7)) % 236.46/236.73 (define @t46 () (tptp.aa_TPT43085870d_bool @t38 @t25)) % 236.46/236.73 (define @t47 () (tptp.scratc87254192nd_all @t7)) % 236.46/236.73 (define @t48 () (tptp.aa_TPT43085870d_bool (tptp.aTP_Lamm_at @t7) @t13)) % 236.46/236.73 (define @t49 () (tptp.scratc546085760_d_not @t13)) % 236.46/236.73 (define @t50 () (tptp.aa_TPT494704832TP_ind tptp.scratc1709589394_Sigma @t7)) % 236.46/236.73 (define @t51 () (tptp.scratc1930628757sel_wb @t7 @t13 @t12)) % 236.46/236.73 (define @t52 () (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc1930628756sel_wa @t7 @t13 @t12) @t25)) % 236.46/236.73 (define @t53 () (tptp.scratc1564950462d_e_is @t7)) % 236.46/236.73 (define @t54 () (tptp.aa_TPT43085870d_bool @t53 @t25)) % 236.46/236.73 (define @t55 () (tptp.aa_TPT43085870d_bool (tptp.scratc1146670205_prop1 @t7 @t13 @t12) @t25)) % 236.46/236.73 (define @t56 () (tptp.aa_TPT43085870d_bool (tptp.scratc1564950462d_e_is @t13) @t24)) % 236.46/236.73 (define @t57 () (tptp.scratc546085760_d_not @t7)) % 236.46/236.73 (define @t58 () (tptp.aa_boo1142376798l_bool tptp.scratc153411835nd_imp @t57)) % 236.46/236.73 (define @t59 () (tptp.aa_boo1142376798l_bool tptp.scratc153411835nd_imp @t7)) % 236.46/236.73 (define @t60 () (tptp.scratc1564950457d_e_in @t7 @t13)) % 236.46/236.73 (define @t61 () (tptp.aa_fun1431113780TP_ind @t45 @t13)) % 236.46/236.73 (define @t62 () (tptp.scratc1933877819d_soft @t7 @t13 @t12)) % 236.46/236.73 (define @t63 () (tptp.aa_TPT494704832TP_ind tptp.scratc1709589394_Sigma @t13)) % 236.46/236.73 (define @t64 () (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.scratc1527004365ective @t7) @t13) @t12)) % 236.46/236.73 (define @t65 () (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.scratc187235926ective @t7) @t13) @t12)) % 236.46/236.73 (define @t66 () (tptp.aa_TPT43085870d_bool (tptp.scratc2035434666_image @t7 @t13) @t12)) % 236.46/236.73 (define @t67 () (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aTP_Lamm_ax @t13) @t12) @t25)) % 236.46/236.73 (define @t68 () (tptp.aa_fun171081125l_bool @t35 @t13)) % 236.46/236.73 (define @t69 () (tptp.scratc1624975209_amone @t7 @t13)) % 236.46/236.73 (define @t70 () (forall @t9 (= @t53 tptp.fequal_TPTP_ind))) % 236.46/236.73 (define @t71 () (tptp.scratc119709764nd_ec3 @t7 @t13 @t12)) % 236.46/236.73 (define @t72 () (tptp.scratc203308799nd_or3 @t7 @t13 @t12)) % 236.46/236.73 (define @t73 () (tptp.scratc951703481d_l_ec @t7 @t13)) % 236.46/236.73 (define @t74 () (tptp.scratc952359486d_l_or @t7)) % 236.46/236.73 (define @t75 () (tptp.scratc194850556nd_non @t7 @t13)) % 236.46/236.73 (define @t76 () (tptp.aa_TPT494704832TP_ind tptp.scratc2110891758munion @t7)) % 236.46/236.73 (define @t77 () (tptp.aa_TPT494704832TP_ind tptp.scratc1071331552d_repl @t7)) % 236.46/236.73 (define @t78 () (tptp.aa_fun1431113780TP_ind (tptp.scratc322369131_d_Sep (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1770865966univof tptp.scratc1745451206ptyset)) tptp.scratc1337809184_nat_p)) % 236.46/236.73 (define @t79 () (@var "X1" $$unsorted)) % 236.46/236.73 (define @t80 () (@var "X2" $$unsorted)) % 236.46/236.73 (define @t81 () (tptp.gg_TPTP_ind @t80)) % 236.46/236.73 (define @t82 () (@list @t80)) % 236.46/236.73 (define @t83 () (@list @t79)) % 236.46/236.73 (define @t84 () (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc854057538d_Sing @t7)) % 236.46/236.73 (define @t85 () (tptp.scratc957265209nunion @t7)) % 236.46/236.73 (define @t86 () (tptp.aa_TPT43085870d_bool (tptp.scratc1376844911_rec_G @t7) @t13)) % 236.46/236.73 (define @t87 () (@var "X3" $$unsorted)) % 236.46/236.73 (define @t88 () (@var "X5" $$unsorted)) % 236.46/236.73 (define @t89 () (@var "X4" $$unsorted)) % 236.46/236.73 (define @t90 () (@var "X6" $$unsorted)) % 236.46/236.73 (define @t91 () (@list @t87)) % 236.46/236.73 (define @t92 () (tptp.scratc1604075772_UPair @t7)) % 236.46/236.73 (define @t93 () (tptp.aa_TPTP_ind_TPTP_ind @t92 @t13)) % 236.46/236.73 (define @t94 () (tptp.pp (tptp.aa_TPTP_ind_bool tptp.scratc1137838734closed @t7))) % 236.46/236.73 (define @t95 () (tptp.pp (tptp.aa_TPTP_ind_bool tptp.scratc633591742closed @t7))) % 236.46/236.73 (define @t96 () (tptp.pp (tptp.aa_TPTP_ind_bool tptp.scratc468858728closed @t7))) % 236.46/236.73 (define @t97 () (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in @t87)) % 236.46/236.73 (define @t98 () (tptp.gg_TPTP_ind @t87)) % 236.46/236.73 (define @t99 () (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in @t79) @t7))) % 236.46/236.73 (define @t100 () (tptp.gg_TPTP_ind @t79)) % 236.46/236.73 (define @t101 () (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in @t80)) % 236.46/236.73 (define @t102 () (tptp.pp (tptp.aa_TPTP_ind_bool @t13 @t80))) % 236.46/236.73 (define @t103 () (tptp.scratc1451164978_is_of @t80 @t7)) % 236.46/236.73 (define @t104 () (=> @t103 @t102)) % 236.46/236.73 (define @t105 () (forall @t82 (=> @t81 @t104))) % 236.46/236.73 (define @t106 () (tptp.pp (tptp.aa_fun171081125l_bool (tptp.scratc1829701671all_of @t7) @t13))) % 236.46/236.73 (define @t107 () (= @t106 @t105)) % 236.46/236.73 (define @t108 () (forall @t18 @t107)) % 236.46/236.73 (define @t109 () (tptp.scratc1829701671all_of tptp.aTP_Lamm_a)) % 236.46/236.73 (define @t110 () (tptp.pp (tptp.aa_fun171081125l_bool @t109 tptp.aTP_Lamm_bu))) % 236.46/236.73 (define @t111 () (@var "X0" $$unsorted)) % 236.46/236.73 (define @t112 () (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_cm @t111)) % 236.46/236.73 (define @t113 () (@list @t111)) % 236.46/236.73 (define @t114 () (@var "X12" $$unsorted)) % 236.46/236.73 (define @t115 () (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_ai @t111)) % 236.46/236.73 (define @t116 () (tptp.scratc1829701671all_of @t115)) % 236.46/236.73 (define @t117 () (@list @t111 @t114)) % 236.46/236.73 (define @t118 () (tptp.aa_fun1431113780TP_ind (tptp.scratc322369131_d_Sep @t111) @t114)) % 236.46/236.73 (define @t119 () (tptp.scratc1829701671all_of (tptp.aa_TPT43085870d_bool (tptp.aTP_Lamm_cv @t111) @t114))) % 236.46/236.73 (define @t120 () (tptp.scratc1829701671all_of (tptp.aa_fun1584354236d_bool (tptp.aTP_Lamm_dc @t111) @t114))) % 236.46/236.73 (define @t121 () (tptp.scratc153477422nd_ind @t111 @t114)) % 236.46/236.73 (define @t122 () (tptp.pp (tptp.aa_fun171081125l_bool (tptp.scratc203046453nd_one @t111) @t114))) % 236.46/236.73 (define @t123 () (tptp.pp @t111)) % 236.46/236.73 (define @t124 () (@var "X22" $$unsorted)) % 236.46/236.73 (define @t125 () (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in @t114)) % 236.46/236.73 (define @t126 () (tptp.pp (tptp.aa_TPTP_ind_bool @t125 @t124))) % 236.46/236.73 (define @t127 () (@var "X32" $$unsorted)) % 236.46/236.73 (define @t128 () (tptp.scratc1550011566bnd_if @t111 @t124)) % 236.46/236.73 (define @t129 () (@list @t111 @t114 @t124 @t127)) % 236.46/236.73 (define @t130 () (tptp.scratc1550011566bnd_if @t111 @t114)) % 236.46/236.73 (define @t131 () (@list @t111 @t114 @t124)) % 236.46/236.73 (define @t132 () (tptp.aa_TPT494704832TP_ind tptp.scratc1709589394_Sigma @t111)) % 236.46/236.73 (define @t133 () (tptp.aa_fun277296641TP_ind @t132 @t124)) % 236.46/236.73 (define @t134 () (tptp.aa_fun277296641TP_ind @t132 @t114)) % 236.46/236.73 (define @t135 () (@var "X33" $$unsorted)) % 236.46/236.73 (define @t136 () (tptp.aa_TPTP_ind_TPTP_ind @t124 @t135)) % 236.46/236.73 (define @t137 () (tptp.aa_TPTP_ind_TPTP_ind @t114 @t135)) % 236.46/236.73 (define @t138 () (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in @t135) @t111))) % 236.46/236.73 (define @t139 () (tptp.gg_TPTP_ind @t135)) % 236.46/236.73 (define @t140 () (@list @t135)) % 236.46/236.73 (define @t141 () (@var "X42" $$unsorted)) % 236.46/236.73 (define @t142 () (tptp.aa_TPT1424761345TP_ind tptp.scratc1549486784bnd_ap @t124)) % 236.46/236.73 (define @t143 () (tptp.aa_fun277296641TP_ind (tptp.aa_TPT494704832TP_ind tptp.scratc423746188d_d_Pi @t111) @t114)) % 236.46/236.73 (define @t144 () (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in @t127)) % 236.46/236.73 (define @t145 () (@list @t127)) % 236.46/236.73 (define @t146 () (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in @t124)) % 236.46/236.73 (define @t147 () (tptp.pp (tptp.aa_TPTP_ind_bool @t146 @t143))) % 236.46/236.73 (define @t148 () (tptp.gg_TPTP_ind @t124)) % 236.46/236.73 (define @t149 () (tptp.aa_TPTP_ind_TPTP_ind @t114 @t124)) % 236.46/236.73 (define @t150 () (tptp.pp (tptp.aa_TPTP_ind_bool @t146 @t111))) % 236.46/236.73 (define @t151 () (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1146276610_proj0 @t124)) % 236.46/236.73 (define @t152 () (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1146276611_proj1 @t124)) % 236.46/236.73 (define @t153 () (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in @t152) (tptp.aa_TPTP_ind_TPTP_ind @t114 @t151)))) % 236.46/236.73 (define @t154 () (tptp.pp (tptp.aa_TPTP_ind_bool @t146 @t134))) % 236.46/236.73 (define @t155 () (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in @t151) @t111))) % 236.46/236.73 (define @t156 () (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.aa_TPT1424761345TP_ind tptp.scratc1624135595d_pair @t151) @t152) @t124)) % 236.46/236.73 (define @t157 () (tptp.aa_TPTP_ind_TPTP_ind (tptp.aa_TPT1424761345TP_ind tptp.scratc1624135595d_pair @t111) @t114)) % 236.46/236.73 (define @t158 () (tptp.gg_TPTP_ind @t114)) % 236.46/236.73 (define @t159 () (tptp.gg_TPTP_ind @t111)) % 236.46/236.73 (define @t160 () (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in @t111)) % 236.46/236.73 (define @t161 () (tptp.pp (tptp.aa_TPTP_ind_bool @t160 tptp.scratc315931824_omega))) % 236.46/236.73 (define @t162 () (tptp.pp (tptp.aa_TPTP_ind_bool tptp.scratc1337809184_nat_p @t111))) % 236.46/236.73 (define @t163 () (@var "X13" $$unsorted)) % 236.46/236.73 (define @t164 () (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc912327602rdsucc @t163)) % 236.46/236.73 (define @t165 () (tptp.pp (tptp.aa_TPTP_ind_bool tptp.scratc1337809184_nat_p @t163))) % 236.46/236.73 (define @t166 () (tptp.gg_TPTP_ind @t163)) % 236.46/236.73 (define @t167 () (@list @t163)) % 236.46/236.73 (define @t168 () (tptp.pp (tptp.aa_TPTP_ind_bool @t111 @t163))) % 236.46/236.73 (define @t169 () (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc912327602rdsucc @t111)) % 236.46/236.73 (define @t170 () (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in tptp.scratc1745451206ptyset)) % 236.46/236.73 (define @t171 () (= @t111 @t114)) % 236.46/236.73 (define @t172 () (and @t159 @t158)) % 236.46/236.73 (define @t173 () (tptp.pp (tptp.aa_TPTP_ind_bool @t114 @t124))) % 236.46/236.73 (define @t174 () (tptp.pp (tptp.aa_TPTP_ind_bool @t146 @t118))) % 236.46/236.73 (define @t175 () (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1017762772_power @t111)) % 236.46/236.73 (define @t176 () (tptp.pp (tptp.aa_TPTP_ind_bool @t125 @t175))) % 236.46/236.73 (define @t177 () (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc952408420d_Subq @t114) @t111))) % 236.46/236.73 (define @t178 () (tptp.aa_TPTP_ind_TPTP_ind @t130 @t124)) % 236.46/236.73 (define @t179 () (= @t178 @t124)) % 236.46/236.73 (define @t180 () (= @t178 @t114)) % 236.46/236.73 (define @t181 () (and @t158 @t148)) % 236.46/236.73 (define @t182 () (not @t123)) % 236.46/236.73 (define @t183 () (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1770865966univof @t111)) % 236.46/236.73 (define @t184 () (@var "X14" $$unsorted)) % 236.46/236.73 (define @t185 () (@var "Uu" $$unsorted)) % 236.46/236.73 (define @t186 () (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_ae @t185)) % 236.46/236.73 (define @t187 () (tptp.aa_TPT43085870d_bool tptp.scratc194456967nd_nis @t185)) % 236.46/236.73 (define @t188 () (tptp.pp (tptp.aa_TPTP_ind_bool @t187 tptp.scratc45782132nd_n_1))) % 236.46/236.73 (define @t189 () (@list @t185)) % 236.46/236.73 (define @t190 () (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc912327602rdsucc @t185)) % 236.46/236.73 (define @t191 () (tptp.scratc1084070009d_n_pl @t185)) % 236.46/236.73 (define @t192 () (tptp.aa_TPTP_ind_TPTP_ind @t191 tptp.scratc45782132nd_n_1)) % 236.46/236.73 (define @t193 () (tptp.scratc1084070009d_n_pl tptp.scratc45782132nd_n_1)) % 236.46/236.73 (define @t194 () (tptp.aa_TPTP_ind_TPTP_ind @t193 @t185)) % 236.46/236.73 (define @t195 () (tptp.aa_TPT43085870d_bool tptp.scratc1083610823d_n_is @t194)) % 236.46/236.73 (define @t196 () (tptp.aa_TPTP_ind_bool @t195 @t190)) % 236.46/236.73 (define @t197 () (tptp.pp @t196)) % 236.46/236.73 (define @t198 () (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_bu @t185))) % 236.46/236.73 (define @t199 () (= @t198 @t197)) % 236.46/236.73 (define @t200 () (forall @t189 @t199)) % 236.46/236.73 (define @t201 () (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_by @t185)) % 236.46/236.73 (define @t202 () (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_cg @t185)) % 236.46/236.73 (define @t203 () (tptp.aa_TPT43085870d_bool tptp.scratc1083610823d_n_is @t190)) % 236.46/236.73 (define @t204 () (tptp.aa_TPTP_ind_bool @t203 @t194)) % 236.46/236.73 (define @t205 () (tptp.pp @t204)) % 236.46/236.73 (define @t206 () (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_aa @t185))) % 236.46/236.73 (define @t207 () (= @t206 @t205)) % 236.46/236.73 (define @t208 () (forall @t189 @t207)) % 236.46/236.73 (define @t209 () (tptp.aa_TPT43085870d_bool tptp.scratc194456967nd_nis @t190)) % 236.46/236.73 (define @t210 () (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in @t185)) % 236.46/236.73 (define @t211 () (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_ci @t185)) % 236.46/236.73 (define @t212 () (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_cd @t185)) % 236.46/236.73 (define @t213 () (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_bv @t185)) % 236.46/236.73 (define @t214 () (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_bs @t185)) % 236.46/236.73 (define @t215 () (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_bp @t185)) % 236.46/236.73 (define @t216 () (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc854057538d_Sing tptp.scratc1745451206ptyset)) % 236.46/236.73 (define @t217 () (tptp.gg_TPTP_ind @t185)) % 236.46/236.73 (define @t218 () (@var "Uua" $$unsorted)) % 236.46/236.73 (define @t219 () (tptp.scratc1564950462d_e_is @t185)) % 236.46/236.73 (define @t220 () (@list @t185 @t218)) % 236.46/236.73 (define @t221 () (tptp.aa_TPT1424761345TP_ind tptp.scratc1549486784bnd_ap @t218)) % 236.46/236.73 (define @t222 () (tptp.aa_TPT43085870d_bool tptp.scratc1083610823d_n_is @t185)) % 236.46/236.73 (define @t223 () (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc912327602rdsucc @t218)) % 236.46/236.73 (define @t224 () (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc912327602rdsucc (tptp.aa_TPTP_ind_TPTP_ind @t191 @t218))) % 236.46/236.73 (define @t225 () (tptp.aa_TPTP_ind_TPTP_ind @t191 @t223)) % 236.46/236.73 (define @t226 () (tptp.aa_TPT1424761345TP_ind tptp.scratc1549486784bnd_ap @t185)) % 236.46/236.73 (define @t227 () (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc912327602rdsucc (tptp.aa_TPTP_ind_TPTP_ind @t226 @t218))) % 236.46/236.73 (define @t228 () (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1083610818d_n_in @t218) @t185)) % 236.46/236.73 (define @t229 () (tptp.aa_TPTP_ind_TPTP_ind @t185 @t218)) % 236.46/236.73 (define @t230 () (tptp.aa_TPT43085870d_bool (tptp.aTP_Lamm_cn @t185) @t218)) % 236.46/236.73 (define @t231 () (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_cm @t185)) % 236.46/236.73 (define @t232 () (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1017762772_power @t185)) % 236.46/236.73 (define @t233 () (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in @t218)) % 236.46/236.73 (define @t234 () (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_ai @t185)) % 236.46/236.73 (define @t235 () (tptp.gg_TPTP_ind @t218)) % 236.46/236.73 (define @t236 () (@var "Uub" $$unsorted)) % 236.46/236.73 (define @t237 () (tptp.scratc1061739109second @t185 @t218)) % 236.46/236.73 (define @t238 () (tptp.aa_TPTP_ind_TPTP_ind @t237 @t236)) % 236.46/236.73 (define @t239 () (tptp.scratc2078076735_first @t185 @t218)) % 236.46/236.73 (define @t240 () (tptp.aa_TPTP_ind_TPTP_ind @t239 @t236)) % 236.46/236.73 (define @t241 () (tptp.scratc1949829805d_pair @t185 @t218)) % 236.46/236.73 (define @t242 () (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc546250696etprod @t185) @t218)) % 236.46/236.73 (define @t243 () (@list @t185 @t218 @t236)) % 236.46/236.73 (define @t244 () (tptp.aa_fun1584354236d_bool (tptp.aTP_Lamm_ba @t185) @t218)) % 236.46/236.73 (define @t245 () (tptp.aa_TPTP_ind_bool @t218 @t236)) % 236.46/236.73 (define @t246 () (tptp.scratc1777039668d_esti @t185)) % 236.46/236.73 (define @t247 () (tptp.aa_TPT43085870d_bool @t246 @t236)) % 236.46/236.73 (define @t248 () (tptp.pp @t245)) % 236.46/236.73 (define @t249 () (tptp.aa_fun1431113780TP_ind (tptp.scratc322369131_d_Sep @t185) @t218)) % 236.46/236.73 (define @t250 () (tptp.pp (tptp.aa_TPTP_ind_bool @t247 @t249))) % 236.46/236.73 (define @t251 () (tptp.scratc561998463d_incl @t185)) % 236.46/236.73 (define @t252 () (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_ai @t218)) % 236.46/236.73 (define @t253 () (tptp.scratc1564950457d_e_in @t185 @t218)) % 236.46/236.73 (define @t254 () (tptp.aa_TPTP_ind_TPTP_ind @t253 @t236)) % 236.46/236.73 (define @t255 () (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aTP_Lamm_dh @t185) @t218) @t236)) % 236.46/236.73 (define @t256 () (tptp.aa_TPT43085870d_bool (tptp.aTP_Lamm_df @t185) @t218)) % 236.46/236.73 (define @t257 () (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in @t236)) % 236.46/236.73 (define @t258 () (tptp.aa_TPT43085870d_bool (tptp.aa_fun1212484691d_bool (tptp.aTP_Lamm_dj @t185) @t218) @t236)) % 236.46/236.73 (define @t259 () (tptp.scratc1829701671all_of @t234)) % 236.46/236.73 (define @t260 () (tptp.aa_TPT43085870d_bool (tptp.aa_fun1212484691d_bool (tptp.aTP_Lamm_bb @t185) @t218) @t236)) % 236.46/236.73 (define @t261 () (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aTP_Lamm_cz @t185) @t218) @t236)) % 236.46/236.73 (define @t262 () (tptp.scratc1829701671all_of @t252)) % 236.46/236.73 (define @t263 () (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aTP_Lamm_ct @t185) @t218) @t236)) % 236.46/236.73 (define @t264 () (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aTP_Lamm_cr @t185) @t218) @t236)) % 236.46/236.73 (define @t265 () (tptp.aa_fun277296641TP_ind (tptp.aa_TPT494704832TP_ind tptp.scratc423746188d_d_Pi @t185) (tptp.aTP_Lamm_ah @t218))) % 236.46/236.73 (define @t266 () (tptp.aa_TPT43085870d_bool (tptp.aTP_Lamm_cv @t185) @t218)) % 236.46/236.73 (define @t267 () (tptp.aa_TPT1424761345TP_ind tptp.scratc1549486784bnd_ap @t236)) % 236.46/236.73 (define @t268 () (@var "Uuc" $$unsorted)) % 236.46/236.73 (define @t269 () (@list @t185 @t218 @t236 @t268)) % 236.46/236.73 (define @t270 () (tptp.aa_TPTP_ind_TPTP_ind (tptp.aa_TPT1424761345TP_ind @t241 @t236) @t268)) % 236.46/236.73 (define @t271 () (tptp.scratc1564950462d_e_is @t218)) % 236.46/236.73 (define @t272 () (tptp.aa_TPTP_ind_TPTP_ind @t267 @t268)) % 236.46/236.73 (define @t273 () (tptp.aa_TPTP_ind_TPTP_ind @t221 @t268)) % 236.46/236.73 (define @t274 () (tptp.aTP_Lamm_ap @t185)) % 236.46/236.73 (define @t275 () (tptp.aa_TPT43085870d_bool @t219 @t236)) % 236.46/236.73 (define @t276 () (tptp.aa_TPT43085870d_bool @t246 @t268)) % 236.46/236.73 (define @t277 () (tptp.aa_TPTP_ind_bool @t276 @t236)) % 236.46/236.73 (define @t278 () (tptp.aa_TPTP_ind_bool @t276 @t218)) % 236.46/236.73 (define @t279 () (tptp.pp @t185)) % 236.46/236.73 (define @t280 () (tptp.pp (tptp.aa_TPTP_ind_bool @t218 @t268))) % 236.46/236.73 (define @t281 () (tptp.pp (tptp.aa_TPTP_ind_bool @t275 @t268))) % 236.46/236.73 (define @t282 () (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aa_TPT1123896796d_bool (tptp.aTP_Lamm_ay @t185) @t218) @t236) @t268)) % 236.46/236.73 (define @t283 () (@var "Uud" $$unsorted)) % 236.46/236.73 (define @t284 () (tptp.aa_TPTP_ind_TPTP_ind @t267 @t283)) % 236.46/236.73 (define @t285 () (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool @t271 @t272) @t284)) % 236.46/236.73 (define @t286 () (@list @t185 @t218 @t236 @t268 @t283)) % 236.46/236.73 (define @t287 () (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool @t185 @t268) @t283))) % 236.46/236.73 (define @t288 () (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aa_TPT1123896796d_bool (tptp.aa_fun845057962d_bool (tptp.aTP_Lamm_al @t185) @t218) @t236) @t268) @t283)) % 236.46/236.73 (define @t289 () (@var "Uue" $$unsorted)) % 236.46/236.73 (define @t290 () (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aa_TPT1123896796d_bool (tptp.aa_TPT985247859d_bool (tptp.aa_fun1107270209d_bool (tptp.aTP_Lamm_ak @t185) @t218) @t236) @t268) @t283) @t289)) % 236.46/236.73 (define @t291 () (@var "Uuf" $$unsorted)) % 236.46/236.73 (define @t292 () (@list @t185 @t218 @t236 @t268 @t283 @t289 @t291)) % 236.46/236.73 (define @t293 () (@var "Q" $$unsorted)) % 236.46/236.73 (define @t294 () (tptp.pp @t293)) % 236.46/236.73 (define @t295 () (@var "P" $$unsorted)) % 236.46/236.73 (define @t296 () (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo1142376798l_bool tptp.fconj @t295) @t293))) % 236.46/236.73 (define @t297 () (not @t296)) % 236.46/236.73 (define @t298 () (@list @t295 @t293)) % 236.46/236.73 (define @t299 () (tptp.pp @t295)) % 236.46/236.73 (define @t300 () (not @t294)) % 236.46/236.73 (define @t301 () (not @t299)) % 236.46/236.73 (define @t302 () (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo1142376798l_bool tptp.fimplies @t295) @t293))) % 236.46/236.73 (define @t303 () (@var "X7" $$unsorted)) % 236.46/236.73 (define @t304 () (@var "Y" $$unsorted)) % 236.46/236.73 (define @t305 () (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.fequal_TPTP_ind @t303) @t304))) % 236.46/236.73 (define @t306 () (= @t303 @t304)) % 236.46/236.73 (define @t307 () (not @t306)) % 236.46/236.73 (define @t308 () (or @t307 @t305)) % 236.46/236.73 (define @t309 () (@list @t303 @t304)) % 236.46/236.73 (define @t310 () (forall @t309 @t308)) % 236.46/236.73 (define @t311 () (not @t305)) % 236.46/236.73 (define @t312 () (or @t311 @t306)) % 236.46/236.73 (define @t313 () (tptp.gg_TPTP_ind @t304)) % 236.46/236.73 (define @t314 () (tptp.gg_TPTP_ind @t303)) % 236.46/236.73 (define @t315 () (and @t314 @t313)) % 236.46/236.73 (define @t316 () (forall @t309 (=> @t315 @t312))) % 236.46/236.73 (define @t317 () (@var "R" $$unsorted)) % 236.46/236.73 (define @t318 () (tptp.aa_TPTP_ind_bool @t293 @t317)) % 236.46/236.73 (define @t319 () (@list @t295 @t293 @t317)) % 236.46/236.73 (define @t320 () (tptp.pp (tptp.aa_fun171081125l_bool @t109 tptp.aTP_Lamm_aa))) % 236.46/236.73 (define @t321 () (not (tptp.scratc1451164978_is_of @t80 tptp.aTP_Lamm_a))) % 236.46/236.73 (define @t322 () (not @t81)) % 236.46/236.73 (define @t323 () (forall @t82 (or @t322 @t321 (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_aa @t80))))) % 236.46/236.73 (define @t324 () (@quantifiers_skolemize @t323 0)) % 236.46/236.73 (define @t325 () (@list @t324)) % 236.46/236.73 (define @t326 () (not @t103)) % 236.46/236.73 (define @t327 () (= @t320 @t323)) % 236.46/236.73 (define @t328 () (not @t323)) % 236.46/236.73 (define @t329 () (@list true false)) % 236.46/236.73 (define @t330 () (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_aa @t324))) % 236.46/236.73 (define @t331 () (tptp.scratc1451164978_is_of @t324 tptp.aTP_Lamm_a)) % 236.46/236.73 (define @t332 () (not @t331)) % 236.46/236.73 (define @t333 () (tptp.gg_TPTP_ind @t324)) % 236.46/236.73 (define @t334 () (not @t333)) % 236.46/236.73 (define @t335 () (or @t334 @t332 @t330)) % 236.46/236.73 (define @t336 () (@list true)) % 236.46/236.73 (define @t337 () (@list @t335)) % 236.46/236.73 (define @t338 () (tptp.scratc1084070009d_n_pl @t20)) % 236.46/236.73 (define @t339 () (tptp.aa_TPTP_ind_TPTP_ind @t338 @t324)) % 236.46/236.73 (define @t340 () (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc912327602rdsucc @t324)) % 236.46/236.73 (define @t341 () (tptp.aa_fun1431113780TP_ind (tptp.scratc322369131_d_Sep @t78) tptp.aTP_Lamm_ag)) % 236.46/236.73 (define @t342 () (tptp.scratc1564950462d_e_is @t341)) % 236.46/236.73 (define @t343 () (tptp.aa_TPT43085870d_bool @t342 @t340)) % 236.46/236.73 (define @t344 () (tptp.pp (tptp.aa_TPTP_ind_bool @t343 @t339))) % 236.46/236.73 (define @t345 () (= @t330 @t344)) % 236.46/236.73 (define @t346 () (not @t344)) % 236.46/236.73 (define @t347 () (not @t313)) % 236.46/236.73 (define @t348 () (not @t314)) % 236.46/236.73 (define @t349 () (or @t348 @t347 @t311 @t306)) % 236.46/236.73 (define @t350 () (tptp.aa_TPT43085870d_bool tptp.fequal_TPTP_ind @t339)) % 236.46/236.73 (define @t351 () (tptp.aa_TPTP_ind_bool @t350 @t340)) % 236.46/236.73 (define @t352 () (tptp.pp @t351)) % 236.46/236.73 (define @t353 () (not @t352)) % 236.46/236.73 (define @t354 () (tptp.gg_TPTP_ind @t340)) % 236.46/236.73 (define @t355 () (not @t354)) % 236.46/236.73 (define @t356 () (tptp.gg_TPTP_ind @t339)) % 236.46/236.73 (define @t357 () (not @t356)) % 236.46/236.73 (define @t358 () (or @t357 @t355 @t353 (= @t339 @t340))) % 236.46/236.73 (define @t359 () (forall @t309 @t349)) % 236.46/236.73 (define @t360 () (= @t340 @t339)) % 236.46/236.73 (define @t361 () (or @t357 @t355 @t353 @t360)) % 236.46/236.73 (define @t362 () (@list false)) % 236.46/236.73 (define @t363 () (forall @t82 (or @t322 @t321 (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_bu @t80))))) % 236.46/236.73 (define @t364 () (= @t110 @t363)) % 236.46/236.73 (define @t365 () (@list false false)) % 236.46/236.73 (define @t366 () (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_bu @t324))) % 236.46/236.73 (define @t367 () (or @t334 @t332 @t366)) % 236.46/236.73 (define @t368 () (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool @t342 @t339) @t340))) % 236.46/236.73 (define @t369 () (= @t366 @t368)) % 236.46/236.73 (define @t370 () (= @t342 tptp.fequal_TPTP_ind)) % 236.46/236.73 (define @t371 () (tptp.aa_TPTP_ind_bool @t343 @t340)) % 236.46/236.73 (define @t372 () (tptp.aa_TPT43085870d_bool tptp.fequal_TPTP_ind @t340)) % 236.46/236.73 (define @t373 () (tptp.aa_TPTP_ind_bool @t372 @t340)) % 236.46/236.73 (define @t374 () (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.fequal_TPTP_ind @t304) @t304))) % 236.46/236.73 (define @t375 () (not (= @t304 @t304))) % 236.46/236.73 (define @t376 () (or @t375 @t374)) % 236.46/236.73 (define @t377 () (@list @t304)) % 236.46/236.73 (define @t378 () (or @t307 @t307 @t305)) % 236.46/236.73 (define @t379 () (@list @t303)) % 236.46/236.73 (define @t380 () (forall @t379 @t308)) % 236.46/236.73 (define @t381 () (forall @t377 @t380)) % 236.46/236.73 (define @t382 () (forall (@list @t304 @t303) @t308)) % 236.46/236.73 (assume @p1 (tptp.gg_bool (tptp.undefined_bool tptp.bool))) % 236.46/236.73 (assume @p2 (tptp.gg_TPTP_ind (tptp.undefined_TPTP_ind tptp.tPTP_ind))) % 236.46/236.73 (assume @p3 (forall @t3 (tptp.gg_bool (tptp.scratc1624975209_amone @t2 @t1)))) % 236.46/236.73 (assume @p4 (forall @t3 (tptp.gg_bool (tptp.scratc438620580_d_and @t2 @t1)))) % 236.46/236.73 (assume @p5 (forall @t4 (tptp.gg_bool (tptp.scratc546085760_d_not @t2)))) % 236.46/236.73 (assume @p6 (forall @t6 (tptp.gg_bool (tptp.scratc119709764nd_ec3 @t2 @t1 @t5)))) % 236.46/236.73 (assume @p7 (forall @t3 (tptp.gg_TPTP_ind (tptp.scratc119709829nd_ect @t2 @t1)))) % 236.46/236.73 (assume @p8 (tptp.gg_TPTP_ind tptp.scratc1745451206ptyset)) % 236.46/236.73 (assume @p9 (forall @t4 (tptp.gg_TPTP_ind (tptp.scratc120562615nd_eps @t2)))) % 236.46/236.73 (assume @p10 (forall @t3 (tptp.gg_TPTP_ind (tptp.scratc153477422nd_ind @t2 @t1)))) % 236.46/236.73 (assume @p11 (forall @t3 (tptp.gg_bool (tptp.scratc951703481d_l_ec @t2 @t1)))) % 236.46/236.73 (assume @p12 (tptp.gg_TPTP_ind tptp.scratc45782132nd_n_1)) % 236.46/236.73 (assume @p13 (tptp.gg_TPTP_ind tptp.scratc193932176nd_nat)) % 236.46/236.73 (assume @p14 (tptp.gg_TPTP_ind tptp.scratc315931824_omega)) % 236.46/236.73 (assume @p15 (forall @t6 (tptp.gg_bool (tptp.scratc203308799nd_or3 @t2 @t1 @t5)))) % 236.46/236.73 (assume @p16 (forall @t3 (tptp.gg_bool (tptp.aa_bool_bool @t2 @t1)))) % 236.46/236.73 (assume @p17 (forall @t3 (tptp.gg_bool (tptp.aa_TPTP_ind_bool @t2 @t1)))) % 236.46/236.73 (assume @p18 (forall @t3 (tptp.gg_TPTP_ind (tptp.aa_TPTP_ind_TPTP_ind @t2 @t1)))) % 236.46/236.73 (assume @p19 (forall @t3 (tptp.gg_bool (tptp.aa_fun171081125l_bool @t2 @t1)))) % 236.46/236.73 (assume @p20 (forall @t3 (tptp.gg_TPTP_ind (tptp.aa_fun1431113780TP_ind @t2 @t1)))) % 236.46/236.73 (assume @p21 (forall @t3 (tptp.gg_TPTP_ind (tptp.aa_fun277296641TP_ind @t2 @t1)))) % 236.46/236.73 (assume @p22 (forall @t4 (tptp.gg_bool (tptp.fEx_TPTP_ind @t2)))) % 236.46/236.73 (assume @p23 (tptp.gg_bool tptp.fFalse)) % 236.46/236.73 (assume @p24 (tptp.gg_bool tptp.fTrue)) % 236.46/236.73 (assume @p25 (forall @t9 (= (tptp.scratc1084070009d_n_pl @t7) (tptp.aa_TPT1424761345TP_ind tptp.scratc1549486784bnd_ap @t8)))) % 236.46/236.73 (assume @p26 (forall @t9 (= @t8 (tptp.scratc153477422nd_ind @t11 @t10)))) % 236.46/236.73 (assume @p27 (forall @t9 (= (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc2122730866d_24_g @t7) (tptp.aa_fun277296641TP_ind (tptp.aa_TPT494704832TP_ind tptp.scratc1709589394_Sigma tptp.scratc193932176nd_nat) (tptp.aTP_Lamm_ac @t7))))) % 236.46/236.73 (assume @p28 (forall @t9 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.scratc1146670208_prop4 @t7)) (tptp.pp (tptp.aa_fun171081125l_bool (tptp.scratc940362479l_some @t11) @t10))))) % 236.46/236.73 (assume @p29 (forall @t16 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.scratc1146670207_prop3 @t7) @t13) @t12)) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1083610823d_n_is (tptp.aa_TPTP_ind_TPTP_ind @t15 @t12)) (tptp.aa_TPTP_ind_TPTP_ind @t14 @t12)))))) % 236.46/236.73 (assume @p30 (forall @t18 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t10 @t13)) (tptp.pp (tptp.scratc438620580_d_and (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1083610823d_n_is (tptp.aa_TPTP_ind_TPTP_ind @t14 tptp.scratc45782132nd_n_1)) @t17) (tptp.aa_TPTP_ind_bool tptp.scratc1657584697_prop1 @t13)))))) % 236.46/236.73 (assume @p31 (forall @t9 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.scratc1657584697_prop1 @t7)) (tptp.pp (tptp.aa_fun171081125l_bool tptp.scratc2011078052_n_all (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_ad @t7)))))) % 236.46/236.73 (assume @p32 (forall @t9 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.scratc1069222522_prop1 @t7)) (tptp.pp (tptp.aa_bool_bool (tptp.scratc952359486d_l_or (tptp.aa_TPTP_ind_bool @t19 tptp.scratc45782132nd_n_1)) (tptp.aa_fun171081125l_bool tptp.scratc1684187121n_some (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_ae @t7))))))) % 236.46/236.73 (assume @p33 (forall @t9 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.scratc480860347_prop1 @t7)) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc194456967nd_nis @t17) @t7))))) % 236.46/236.73 (assume @p34 (= tptp.scratc280311546d_i1_s (tptp.scratc322369131_d_Sep tptp.scratc193932176nd_nat))) % 236.46/236.73 (assume @p35 (forall @t9 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.scratc1161393343_cond2 @t7)) (tptp.pp (tptp.aa_fun171081125l_bool tptp.scratc2011078052_n_all (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_af @t7)))))) % 236.46/236.73 (assume @p36 (= tptp.scratc1161393342_cond1 (tptp.aa_TPT43085870d_bool tptp.scratc1083610818d_n_in tptp.scratc45782132nd_n_1))) % 236.46/236.73 (assume @p37 (= tptp.scratc45782132nd_n_1 @t20)) % 236.46/236.73 (assume @p38 (= tptp.scratc2126870313_n_one (tptp.scratc203046453nd_one tptp.scratc193932176nd_nat))) % 236.46/236.73 (assume @p39 (= tptp.scratc2011078052_n_all (tptp.scratc87254192nd_all tptp.scratc193932176nd_nat))) % 236.46/236.73 (assume @p40 (= tptp.scratc1684187121n_some (tptp.scratc940362479l_some tptp.scratc193932176nd_nat))) % 236.46/236.73 (assume @p41 (= tptp.scratc1083610818d_n_in (tptp.scratc1777039668d_esti tptp.scratc193932176nd_nat))) % 236.46/236.73 (assume @p42 (forall @t18 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc194456967nd_nis @t7) @t13)) (tptp.pp (tptp.scratc546085760_d_not (tptp.aa_TPTP_ind_bool @t19 @t13)))))) % 236.46/236.73 (assume @p43 (= tptp.scratc1083610823d_n_is @t21)) % 236.46/236.73 (assume @p44 (= tptp.scratc193932176nd_nat @t23)) % 236.46/236.73 (assume @p45 (forall @t28 (= (tptp.scratc1853463352indeq2 @t7 @t13 @t12 @t25 @t24) (tptp.aa_TPT1424761345TP_ind @t27 (tptp.aa_TPTP_ind_TPTP_ind (tptp.aa_TPT1424761345TP_ind @t26 @t25) @t24))))) % 236.46/236.73 (assume @p46 (forall @t16 (= @t26 (tptp.scratc693191546_indeq @t7 @t13 (tptp.aa_fun277296641TP_ind @t29 (tptp.aTP_Lamm_ah @t12)))))) % 236.46/236.73 (assume @p47 (forall @t31 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.scratc2069953503fixfu2 @t7 @t13) @t12) @t25)) (tptp.pp (tptp.aa_fun171081125l_bool @t30 (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aa_fun987228051d_bool (tptp.aTP_Lamm_am @t7) @t13) @t12) @t25)))))) % 236.46/236.73 (assume @p48 (forall @t28 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.aa_TPT1424761345TP_ind @t27 @t25) @t24) (tptp.scratc153477422nd_ind @t12 @t32)))) % 236.46/236.73 (assume @p49 (forall (@list @t7 @t13 @t12 @t25 @t24 @t33) (= (tptp.pp (tptp.aa_TPTP_ind_bool @t32 @t33)) (tptp.pp (tptp.aa_fun171081125l_bool @t35 @t34))))) % 236.46/236.73 (assume @p50 (forall (@list @t7 @t13 @t12 @t25 @t24 @t33 @t36) (= (tptp.pp (tptp.aa_TPTP_ind_bool @t34 @t36)) (tptp.pp (tptp.scratc438620580_d_and (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool @t38 @t36) (tptp.aa_TPTP_ind_TPTP_ind @t37 @t24)) (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.scratc1564950462d_e_is @t12) (tptp.aa_TPTP_ind_TPTP_ind (tptp.aa_TPT1424761345TP_ind tptp.scratc1549486784bnd_ap @t25) @t36)) @t33)))))) % 236.46/236.73 (assume @p51 (forall @t31 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.scratc2126792979_fixfu @t7 @t13) @t12) @t25)) (tptp.pp (tptp.aa_fun171081125l_bool @t30 (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aa_fun987228051d_bool (tptp.aTP_Lamm_ao @t7) @t13) @t12) @t25)))))) % 236.46/236.73 (assume @p52 (forall @t18 (= @t37 (tptp.scratc1564950457d_e_in @t40 @t39)))) % 236.46/236.73 (assume @p53 (forall @t16 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc319294504ectelt @t7 @t13) @t12) (tptp.aa_TPTP_ind_TPTP_ind @t43 @t42)))) % 236.46/236.73 (assume @p54 (forall @t18 (= @t43 (tptp.scratc203505661nd_out @t40 @t39)))) % 236.46/236.73 (assume @p55 (forall @t18 (= (tptp.scratc119709829nd_ect @t7 @t13) (tptp.aa_fun1431113780TP_ind (tptp.scratc322369131_d_Sep @t40) @t39)))) % 236.46/236.73 (assume @p56 (forall @t16 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t39 @t12)) (tptp.pp (tptp.aa_fun171081125l_bool @t35 @t44))))) % 236.46/236.73 (assume @p57 (forall @t31 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t44 @t25)) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.scratc1564950462d_e_is @t40) @t12) (tptp.aa_TPTP_ind_TPTP_ind @t41 @t25)))))) % 236.46/236.73 (assume @p58 (forall @t16 (= @t42 (tptp.aa_fun1431113780TP_ind @t45 (tptp.aa_TPT43085870d_bool @t13 @t12))))) % 236.46/236.73 (assume @p59 (forall @t16 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc540613727unmore @t7 @t13) @t12) (tptp.aa_fun1431113780TP_ind @t45 (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aTP_Lamm_aq @t7) @t13) @t12))))) % 236.46/236.73 (assume @p60 (forall @t31 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.scratc1991259070etprop @t7 @t13) @t12) @t25)) (tptp.pp (tptp.scratc438620580_d_and (tptp.aa_TPTP_ind_bool @t46 @t13) (tptp.scratc546085760_d_not (tptp.aa_TPTP_ind_bool @t46 @t12))))))) % 236.46/236.73 (assume @p61 (forall @t16 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.scratc1290387246t_disj @t7) @t13) @t12)) (tptp.pp (tptp.aa_fun171081125l_bool @t47 (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aTP_Lamm_ar @t7) @t13) @t12)))))) % 236.46/236.73 (assume @p62 (forall @t16 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.scratc561998463d_incl @t7) @t13) @t12)) (tptp.pp (tptp.aa_fun171081125l_bool @t47 (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aTP_Lamm_as @t7) @t13) @t12)))))) % 236.46/236.73 (assume @p63 (forall @t18 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc2031046193nempty @t7) @t13)) (tptp.pp (tptp.aa_fun171081125l_bool @t35 @t48))))) % 236.46/236.73 (assume @p64 (forall @t18 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1896920188_empty @t7) @t13)) (tptp.pp (tptp.aa_fun171081125l_bool @t30 (tptp.scratc194850556nd_non @t7 @t48)))))) % 236.46/236.73 (assume @p65 (forall @t9 (= @t38 tptp.scratc1550011574bnd_in))) % 236.46/236.73 (assume @p66 (forall @t18 (= (tptp.scratc1346638271d_r_ec @t7 @t13) (=> (tptp.pp @t7) (tptp.pp @t49))))) % 236.46/236.73 (assume @p67 (forall @t28 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc324534245hangef @t7 @t13 @t12 @t25) @t24) (tptp.aa_fun277296641TP_ind @t50 (tptp.aa_TPT1424761345TP_ind (tptp.aa_TPT1791839040TP_ind (tptp.aa_TPT1781712639TP_ind (tptp.aTP_Lamm_au @t7) @t12) @t25) @t24))))) % 236.46/236.73 (assume @p68 (forall @t16 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc302523178wissel @t7 @t13) @t12) (tptp.aa_fun277296641TP_ind @t50 @t51)))) % 236.46/236.73 (assume @p69 (forall @t31 (= (tptp.aa_TPTP_ind_TPTP_ind @t51 @t25) (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc153871017nd_ite (tptp.aa_TPTP_ind_bool @t54 @t12) @t7 @t13) @t52)))) % 236.46/236.73 (assume @p70 (forall @t31 (= @t52 (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc153871017nd_ite (tptp.aa_TPTP_ind_bool @t54 @t13) @t7 @t12) @t25)))) % 236.46/236.73 (assume @p71 (forall @t31 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc153871017nd_ite @t7 @t13 @t12) @t25) (tptp.scratc153477422nd_ind @t13 @t55)))) % 236.46/236.73 (assume @p72 (forall @t28 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t55 @t24)) (tptp.pp (tptp.scratc438620580_d_and (tptp.aa_bool_bool @t59 (tptp.aa_TPTP_ind_bool @t56 @t12)) (tptp.aa_bool_bool @t58 (tptp.aa_TPTP_ind_bool @t56 @t25))))))) % 236.46/236.73 (assume @p73 (forall @t18 (= (tptp.scratc1061739109second @t7 @t13) tptp.scratc1146276611_proj1))) % 236.46/236.73 (assume @p74 (forall @t18 (= (tptp.scratc2078076735_first @t7 @t13) tptp.scratc1146276610_proj0))) % 236.46/236.73 (assume @p75 (forall @t18 (= (tptp.scratc1949829805d_pair @t7 @t13) tptp.scratc1624135595d_pair))) % 236.46/236.73 (assume @p76 (forall @t18 (= (tptp.scratc203505661nd_out @t7 @t13) (tptp.scratc1933877819d_soft @t61 @t7 (tptp.aa_fun277296641TP_ind (tptp.aa_TPT494704832TP_ind tptp.scratc1709589394_Sigma @t61) @t60))))) % 236.46/236.73 (assume @p77 (forall @t16 (=> (tptp.gg_TPTP_ind @t12) (= (tptp.aa_TPTP_ind_TPTP_ind @t60 @t12) @t12)))) % 236.46/236.73 (assume @p78 (forall @t28 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc43785844_inj_h @t7 @t13 @t12 @t25) @t24) (tptp.aa_fun277296641TP_ind @t50 (tptp.aa_TPT1424761345TP_ind (tptp.aTP_Lamm_av @t25) @t24))))) % 236.46/236.73 (assume @p79 (forall @t16 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc563244838d_invf @t7 @t13) @t12) (tptp.aa_fun277296641TP_ind @t63 @t62)))) % 236.46/236.73 (assume @p80 (forall @t16 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.scratc370955156ective @t7) @t13) @t12)) (tptp.pp (tptp.scratc438620580_d_and @t65 @t64))))) % 236.46/236.73 (assume @p81 (forall @t16 (= (tptp.pp @t64) (tptp.pp (tptp.aa_fun171081125l_bool (tptp.scratc87254192nd_all @t13) @t66))))) % 236.46/236.73 (assume @p82 (forall @t16 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc310575295nverse @t7 @t13) @t12) (tptp.aa_fun277296641TP_ind @t63 (tptp.aa_TPT1424761345TP_ind (tptp.aa_TPT1791839040TP_ind (tptp.aTP_Lamm_aw @t7) @t13) @t12))))) % 236.46/236.73 (assume @p83 (forall @t31 (= (tptp.aa_TPTP_ind_TPTP_ind @t62 @t25) (tptp.scratc153477422nd_ind @t7 @t67)))) % 236.46/236.73 (assume @p84 (forall @t18 (= (tptp.scratc566981369d_tofs @t7 @t13) tptp.scratc1549486784bnd_ap))) % 236.46/236.73 (assume @p85 (forall @t31 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t66 @t25)) (tptp.pp (tptp.aa_fun171081125l_bool @t35 @t67))))) % 236.46/236.73 (assume @p86 (forall @t16 (= (tptp.pp @t65) (tptp.pp (tptp.aa_fun171081125l_bool @t47 (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aTP_Lamm_az @t7) @t13) @t12)))))) % 236.46/236.73 (assume @p87 (forall @t18 (= (tptp.scratc153477422nd_ind @t7 @t13) (tptp.scratc120562615nd_eps (tptp.aa_fun1584354236d_bool (tptp.aTP_Lamm_ba @t7) @t13))))) % 236.46/236.73 (assume @p88 (forall @t18 (= (tptp.pp (tptp.aa_fun171081125l_bool (tptp.scratc203046453nd_one @t7) @t13)) (tptp.pp (tptp.scratc438620580_d_and @t69 @t68))))) % 236.46/236.73 (assume @p89 (forall @t18 (= (tptp.pp @t69) (tptp.pp (tptp.aa_fun171081125l_bool @t30 (tptp.aa_fun1584354236d_bool (tptp.aTP_Lamm_bc @t7) @t13)))))) % 236.46/236.73 (assume @p90 @t70) % 236.46/236.73 (assume @p91 (forall @t16 (= (tptp.scratc2071121729_orec3 @t7 @t13 @t12) (tptp.pp (tptp.scratc438620580_d_and @t72 @t71))))) % 236.46/236.73 (assume @p92 (forall @t16 (= (tptp.pp @t71) (tptp.scratc759817357d_and3 @t73 (tptp.scratc951703481d_l_ec @t13 @t12) (tptp.scratc951703481d_l_ec @t12 @t7))))) % 236.46/236.73 (assume @p93 (forall @t16 (= (tptp.scratc759817357d_and3 @t7 @t13 @t12) (tptp.pp (tptp.scratc438620580_d_and @t7 (tptp.scratc438620580_d_and @t13 @t12)))))) % 236.46/236.73 (assume @p94 (forall @t16 (= (tptp.pp @t72) (tptp.pp (tptp.aa_bool_bool @t74 (tptp.aa_bool_bool (tptp.scratc952359486d_l_or @t13) @t12)))))) % 236.46/236.73 (assume @p95 (forall @t18 (= (tptp.pp @t68) (tptp.pp (tptp.scratc546085760_d_not (tptp.aa_fun171081125l_bool @t30 @t75)))))) % 236.46/236.73 (assume @p96 (forall @t16 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t75 @t12)) (tptp.pp (tptp.scratc546085760_d_not (tptp.aa_TPTP_ind_bool @t13 @t12)))))) % 236.46/236.73 (assume @p97 (forall @t9 (= @t47 @t30))) % 236.46/236.73 (assume @p98 (forall @t18 (= (tptp.scratc1332762030_l_iff @t7 @t13) (tptp.pp (tptp.scratc438620580_d_and (tptp.aa_bool_bool @t59 @t13) (tptp.aa_bool_bool (tptp.aa_boo1142376798l_bool tptp.scratc153411835nd_imp @t13) @t7)))))) % 236.46/236.73 (assume @p99 (forall @t18 (= (tptp.scratc983731570d_orec @t7 @t13) (tptp.pp (tptp.scratc438620580_d_and (tptp.aa_bool_bool @t74 @t13) @t73))))) % 236.46/236.73 (assume @p100 (forall @t9 (= @t74 @t58))) % 236.46/236.73 (assume @p101 (forall @t18 (= (tptp.pp (tptp.scratc438620580_d_and @t7 @t13)) (tptp.pp (tptp.scratc546085760_d_not @t73))))) % 236.46/236.73 (assume @p102 (forall @t18 (= (tptp.pp @t73) (tptp.pp (tptp.aa_bool_bool @t59 @t49))))) % 236.46/236.73 (assume @p103 (= tptp.scratc1175657942bvious (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo1142376798l_bool tptp.scratc153411835nd_imp tptp.fFalse) tptp.fFalse)))) % 236.46/236.73 (assume @p104 (forall @t9 (= (tptp.scratc268548109nd_wel @t7) (tptp.pp (tptp.scratc546085760_d_not @t57))))) % 236.46/236.73 (assume @p105 (forall @t9 (= (tptp.pp @t57) (tptp.pp (tptp.aa_bool_bool @t59 tptp.fFalse))))) % 236.46/236.73 (assume @p106 (= tptp.scratc153411835nd_imp tptp.fimplies)) % 236.46/236.73 (assume @p107 (forall @t18 (= (tptp.aa_fun277296641TP_ind @t29 @t13) (tptp.aa_fun1431113780TP_ind (tptp.scratc322369131_d_Sep (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1017762772_power (tptp.aa_fun277296641TP_ind @t50 (tptp.aTP_Lamm_bd @t13)))) (tptp.aa_fun1913827119d_bool (tptp.aTP_Lamm_be @t7) @t13))))) % 236.46/236.73 (assume @p108 (forall @t9 (=> (tptp.gg_TPTP_ind @t7) (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.scratc769077573pair_p @t7)) (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.aa_TPT1424761345TP_ind tptp.scratc1624135595d_pair (tptp.aa_TPTP_ind_TPTP_ind @t15 tptp.scratc1745451206ptyset)) (tptp.aa_TPTP_ind_TPTP_ind @t15 @t20)) @t7))))) % 236.46/236.73 (assume @p109 (forall @t18 (= (tptp.aa_TPTP_ind_TPTP_ind @t15 @t13) (tptp.aa_fun277296641TP_ind (tptp.scratc407235996eplSep @t7 (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_bf @t13)) tptp.scratc1146276611_proj1)))) % 236.46/236.73 (assume @p110 (forall @t18 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc546250696etprod @t7) @t13) (tptp.aa_fun277296641TP_ind @t50 (tptp.aTP_Lamm_ah @t13))))) % 236.46/236.73 (assume @p111 (forall @t18 (= (tptp.aa_fun277296641TP_ind @t50 @t13) (tptp.aa_fun277296641TP_ind @t76 (tptp.aTP_Lamm_bg @t13))))) % 236.46/236.73 (assume @p112 (forall @t9 (= (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1146276611_proj1 @t7) (tptp.aa_fun277296641TP_ind (tptp.scratc407235996eplSep @t7 tptp.aTP_Lamm_bh) tptp.scratc339482526_d_Unj)))) % 236.46/236.73 (assume @p113 (forall @t9 (= (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1146276610_proj0 @t7) (tptp.aa_fun277296641TP_ind (tptp.scratc407235996eplSep @t7 tptp.aTP_Lamm_bi) tptp.scratc339482526_d_Unj)))) % 236.46/236.73 (assume @p114 (forall @t18 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.aa_TPT1424761345TP_ind tptp.scratc1624135595d_pair @t7) @t13) (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc957265209nunion (tptp.aa_fun277296641TP_ind @t77 tptp.scratc1679165214d_Inj0)) (tptp.aa_fun277296641TP_ind (tptp.aa_TPT494704832TP_ind tptp.scratc1071331552d_repl @t13) tptp.scratc1679165215d_Inj1))))) % 236.46/236.73 (assume @p115 (= tptp.scratc339482526_d_Unj (tptp.scratc134999576In_rec tptp.aTP_Lamm_bj))) % 236.46/236.73 (assume @p116 (forall @t9 (= (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1679165214d_Inj0 @t7) (tptp.aa_fun277296641TP_ind @t77 tptp.scratc1679165215d_Inj1)))) % 236.46/236.73 (assume @p117 (= tptp.scratc1679165215d_Inj1 (tptp.scratc134999576In_rec tptp.aTP_Lamm_bk))) % 236.46/236.73 (assume @p118 (= tptp.scratc315931824_omega @t78)) % 236.46/236.73 (assume @p119 (forall @t9 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.scratc1337809184_nat_p @t7)) (forall @t83 (=> (tptp.pp (tptp.aa_TPTP_ind_bool @t79 tptp.scratc1745451206ptyset)) (=> (forall @t82 (=> @t81 (=> (tptp.pp (tptp.aa_TPTP_ind_bool @t79 @t80)) (tptp.pp (tptp.aa_TPTP_ind_bool @t79 (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc912327602rdsucc @t80)))))) (tptp.pp (tptp.aa_TPTP_ind_bool @t79 @t7)))))))) % 236.46/236.73 (assume @p120 (forall @t9 (= @t17 (tptp.aa_TPTP_ind_TPTP_ind @t85 @t84)))) % 236.46/236.73 (assume @p121 (forall @t18 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc134999576In_rec @t7) @t13) (tptp.scratc120562615nd_eps @t86)))) % 236.46/236.73 (assume @p122 (forall @t16 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t86 @t12)) (forall @t91 (=> (forall (@list @t89 @t88) (=> (tptp.gg_TPTP_ind @t89) (=> (forall (@list @t90) (=> (tptp.gg_TPTP_ind @t90) (=> (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in @t90) @t89)) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool @t87 @t90) (tptp.aa_TPTP_ind_TPTP_ind @t88 @t90)))))) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool @t87 @t89) (tptp.aa_fun277296641TP_ind (tptp.aa_TPT494704832TP_ind @t7 @t89) @t88)))))) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool @t87 @t13) @t12))))))) % 236.46/236.73 (assume @p123 (forall @t18 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc873550751tminus @t7) @t13) (tptp.aa_fun1431113780TP_ind @t45 (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_bl @t13))))) % 236.46/236.73 (assume @p124 (forall @t18 (= (tptp.scratc407235996eplSep @t7 @t13) (tptp.aa_TPT494704832TP_ind tptp.scratc1071331552d_repl @t61)))) % 236.46/236.73 (assume @p125 (forall @t18 (= @t61 (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc1550011566bnd_if (tptp.fEx_TPTP_ind (tptp.cOMBS_2003118649l_bool (tptp.cOMBB_658106424TP_ind tptp.fconj (tptp.aa_TPT43085870d_bool (tptp.cOMBC_1555011498d_bool tptp.scratc1550011574bnd_in) @t7)) @t13)) (tptp.aa_fun277296641TP_ind @t77 (tptp.aa_fun1235454963TP_ind (tptp.aTP_Lamm_bm @t7) @t13))) tptp.scratc1745451206ptyset)))) % 236.46/236.73 (assume @p126 (forall @t18 (= (tptp.aa_fun277296641TP_ind @t76 @t13) (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1525024638_union (tptp.aa_fun277296641TP_ind @t77 @t13))))) % 236.46/236.73 (assume @p127 (forall @t18 (= (tptp.aa_TPTP_ind_TPTP_ind @t85 @t13) (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1525024638_union @t93)))) % 236.46/236.73 (assume @p128 (forall @t9 (= @t84 (tptp.aa_TPTP_ind_TPTP_ind @t92 @t7)))) % 236.46/236.73 (assume @p129 (forall @t18 (= @t93 (tptp.aa_fun277296641TP_ind (tptp.aa_TPT494704832TP_ind tptp.scratc1071331552d_repl (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1017762772_power (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1017762772_power tptp.scratc1745451206ptyset))) (tptp.aa_TPT1424761345TP_ind (tptp.aTP_Lamm_bn @t7) @t13))))) % 236.46/236.73 (assume @p130 (forall @t18 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc192357794nd_nIn @t7) @t13)) (not (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in @t7) @t13)))))) % 236.46/236.73 (assume @p131 (forall @t16 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc1550011566bnd_if @t7 @t13) @t12) (tptp.scratc120562615nd_eps (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aTP_Lamm_bo @t7) @t13) @t12))))) % 236.46/236.73 (assume @p132 (forall @t9 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.scratc1675368811closed @t7)) (and @t96 @t95 @t94)))) % 236.46/236.73 (assume @p133 (forall @t9 (= @t94 (forall @t83 (=> @t100 (=> @t99 (forall @t82 (=> (forall @t91 (=> @t98 (=> (tptp.pp (tptp.aa_TPTP_ind_bool @t97 @t79)) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in (tptp.aa_TPTP_ind_TPTP_ind @t80 @t87)) @t7))))) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in (tptp.aa_fun277296641TP_ind (tptp.aa_TPT494704832TP_ind tptp.scratc1071331552d_repl @t79) @t80)) @t7)))))))))) % 236.46/236.73 (assume @p134 (forall @t9 (= @t95 (forall @t83 (=> @t100 (=> @t99 (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1017762772_power @t79)) @t7)))))))) % 236.46/236.73 (assume @p135 (forall @t9 (= @t96 (forall @t83 (=> @t100 (=> @t99 (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1525024638_union @t79)) @t7)))))))) % 236.46/236.73 (assume @p136 (forall @t18 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc952408420d_Subq @t7) @t13)) (forall @t82 (=> @t81 (=> (tptp.pp (tptp.aa_TPTP_ind_bool @t101 @t7)) (tptp.pp (tptp.aa_TPTP_ind_bool @t101 @t13)))))))) % 236.46/236.73 (assume @p137 @t108) % 236.46/236.73 (assume @p138 (forall @t18 (= (tptp.scratc1451164978_is_of @t7 @t13) (tptp.pp (tptp.aa_TPTP_ind_bool @t13 @t7))))) % 236.46/236.73 (assume @p139 (tptp.pp (tptp.aa_fun171081125l_bool @t109 tptp.aTP_Lamm_bq))) % 236.46/236.73 (assume @p140 (tptp.pp (tptp.aa_fun171081125l_bool @t109 tptp.aTP_Lamm_br))) % 236.46/236.73 (assume @p141 (tptp.pp (tptp.aa_fun171081125l_bool @t109 tptp.aTP_Lamm_bt))) % 236.46/236.73 (assume @p142 @t110) % 236.46/236.73 (assume @p143 (tptp.pp (tptp.aa_fun171081125l_bool @t109 tptp.aTP_Lamm_bw))) % 236.46/236.73 (assume @p144 (tptp.pp (tptp.aa_fun171081125l_bool @t109 tptp.aTP_Lamm_bx))) % 236.46/236.73 (assume @p145 (tptp.pp (tptp.aa_fun171081125l_bool @t109 tptp.aTP_Lamm_bz))) % 236.46/236.73 (assume @p146 (tptp.pp (tptp.aa_fun171081125l_bool @t109 tptp.aTP_Lamm_ca))) % 236.46/236.73 (assume @p147 (tptp.pp (tptp.aa_fun171081125l_bool @t109 tptp.aTP_Lamm_cb))) % 236.46/236.73 (assume @p148 (tptp.pp (tptp.aa_fun171081125l_bool @t109 tptp.aTP_Lamm_cc))) % 236.46/236.73 (assume @p149 (tptp.pp (tptp.aa_fun171081125l_bool @t109 tptp.aTP_Lamm_ce))) % 236.46/236.73 (assume @p150 (tptp.pp (tptp.aa_fun171081125l_bool (tptp.scratc1829701671all_of tptp.aTP_Lamm_cf) tptp.aTP_Lamm_ch))) % 236.46/236.73 (assume @p151 (tptp.pp (tptp.aa_fun171081125l_bool @t109 tptp.aTP_Lamm_cj))) % 236.46/236.73 (assume @p152 (tptp.pp (tptp.aa_fun171081125l_bool @t109 tptp.aTP_Lamm_ck))) % 236.46/236.73 (assume @p153 (tptp.pp (tptp.aa_fun171081125l_bool @t109 tptp.aTP_Lamm_cl))) % 236.46/236.73 (assume @p154 (tptp.scratc1451164978_is_of tptp.scratc45782132nd_n_1 tptp.aTP_Lamm_a)) % 236.46/236.73 (assume @p155 (forall @t113 (tptp.pp (tptp.aa_fun171081125l_bool (tptp.scratc1829701671all_of @t112) (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_co @t111))))) % 236.46/236.73 (assume @p156 (forall @t117 (tptp.pp (tptp.aa_fun171081125l_bool @t116 (tptp.aa_fun1584354236d_bool (tptp.aTP_Lamm_cp @t111) @t114))))) % 236.46/236.73 (assume @p157 (forall @t117 (tptp.pp (tptp.aa_fun171081125l_bool @t116 (tptp.aa_fun1584354236d_bool (tptp.aTP_Lamm_cq @t111) @t114))))) % 236.46/236.73 (assume @p158 (forall @t117 (tptp.scratc1451164978_is_of @t118 @t112))) % 236.46/236.73 (assume @p159 (forall @t117 (tptp.pp (tptp.aa_fun171081125l_bool @t116 (tptp.aa_TPT43085870d_bool (tptp.aTP_Lamm_cs @t111) @t114))))) % 236.46/236.73 (assume @p160 (forall @t117 (tptp.pp (tptp.aa_fun171081125l_bool @t116 (tptp.aa_TPT43085870d_bool (tptp.aTP_Lamm_cu @t111) @t114))))) % 236.46/236.73 (assume @p161 (forall @t117 (tptp.pp (tptp.aa_fun171081125l_bool @t119 (tptp.aa_TPT43085870d_bool (tptp.aTP_Lamm_cw @t111) @t114))))) % 236.46/236.73 (assume @p162 (forall @t117 (tptp.pp (tptp.aa_fun171081125l_bool @t119 (tptp.aa_TPT43085870d_bool (tptp.aTP_Lamm_cx @t111) @t114))))) % 236.46/236.73 (assume @p163 (forall @t117 (tptp.pp (tptp.aa_fun171081125l_bool @t119 (tptp.aa_TPT43085870d_bool (tptp.aTP_Lamm_cy @t111) @t114))))) % 236.46/236.73 (assume @p164 (forall @t117 (tptp.pp (tptp.aa_fun171081125l_bool @t116 (tptp.aa_TPT43085870d_bool (tptp.aTP_Lamm_da @t111) @t114))))) % 236.46/236.73 (assume @p165 (forall @t117 (tptp.pp (tptp.aa_fun171081125l_bool @t116 (tptp.aa_fun1584354236d_bool (tptp.aTP_Lamm_db @t111) @t114))))) % 236.46/236.73 (assume @p166 (forall @t117 (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.scratc187235926ective @t118) @t111) (tptp.aa_fun277296641TP_ind (tptp.aa_TPT494704832TP_ind tptp.scratc1709589394_Sigma @t118) (tptp.scratc1564950457d_e_in @t111 @t114)))))) % 236.46/236.73 (assume @p167 (forall @t117 (tptp.pp (tptp.aa_fun171081125l_bool @t120 (tptp.aa_fun1584354236d_bool (tptp.aTP_Lamm_dd @t111) @t114))))) % 236.46/236.73 (assume @p168 (forall @t117 (tptp.pp (tptp.aa_fun171081125l_bool @t120 (tptp.aa_fun1584354236d_bool (tptp.aTP_Lamm_de @t111) @t114))))) % 236.46/236.73 (assume @p169 (forall @t117 (tptp.pp (tptp.aa_fun171081125l_bool (tptp.scratc1829701671all_of (tptp.aa_TPT43085870d_bool (tptp.aTP_Lamm_df @t111) @t114)) (tptp.aa_TPT43085870d_bool (tptp.aTP_Lamm_di @t111) @t114))))) % 236.46/236.73 (assume @p170 (forall @t117 (=> @t122 (tptp.pp (tptp.aa_TPTP_ind_bool @t114 @t121))))) % 236.46/236.73 (assume @p171 (forall @t117 (=> @t122 (tptp.scratc1451164978_is_of @t121 @t115)))) % 236.46/236.73 (assume @p172 (forall @t117 (tptp.pp (tptp.aa_fun171081125l_bool @t116 (tptp.aa_fun1584354236d_bool (tptp.aTP_Lamm_dk @t111) @t114))))) % 236.46/236.73 (assume @p173 (forall @t113 (tptp.pp (tptp.aa_fun171081125l_bool @t116 (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_dl @t111))))) % 236.46/236.73 (assume @p174 (forall @t113 (=> (tptp.scratc268548109nd_wel @t111) @t123))) % 236.46/236.73 (assume @p175 (forall @t129 (=> @t123 (=> (tptp.pp (tptp.aa_TPTP_ind_bool @t125 (tptp.aa_TPTP_ind_TPTP_ind @t128 @t127))) @t126)))) % 236.46/236.73 (assume @p176 (forall @t131 (=> (=> @t123 @t126) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in (tptp.aa_TPTP_ind_TPTP_ind @t130 tptp.scratc1745451206ptyset)) (tptp.aa_TPTP_ind_TPTP_ind @t128 @t20)))))) % 236.46/236.73 (assume @p177 (forall @t131 (=> (forall @t140 (=> @t139 (=> @t138 (= @t137 @t136)))) (= @t134 @t133)))) % 236.46/236.73 (assume @p178 (forall @t131 (=> @t148 (=> @t147 (forall @t145 (=> (tptp.gg_TPTP_ind @t127) (=> (tptp.pp (tptp.aa_TPTP_ind_bool @t144 @t143)) (=> (forall (@list @t141) (=> (tptp.gg_TPTP_ind @t141) (=> (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in @t141) @t111)) (= (tptp.aa_TPTP_ind_TPTP_ind @t142 @t141) (tptp.aa_TPTP_ind_TPTP_ind (tptp.aa_TPT1424761345TP_ind tptp.scratc1549486784bnd_ap @t127) @t141))))) (= @t124 @t127))))))))) % 236.46/236.73 (assume @p179 (forall @t129 (=> @t147 (=> (tptp.pp (tptp.aa_TPTP_ind_bool @t144 @t111)) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in (tptp.aa_TPTP_ind_TPTP_ind @t142 @t127)) (tptp.aa_TPTP_ind_TPTP_ind @t114 @t127))))))) % 236.46/236.73 (assume @p180 (forall @t131 (=> (forall @t140 (=> @t139 (=> @t138 (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in @t136) @t137))))) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in @t133) @t143))))) % 236.46/236.73 (assume @p181 (forall @t131 (=> @t150 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.aa_TPT1424761345TP_ind tptp.scratc1549486784bnd_ap @t134) @t124) @t149)))) % 236.46/236.73 (assume @p182 (forall @t131 (=> @t154 @t153))) % 236.46/236.73 (assume @p183 (forall @t131 (=> @t154 @t155))) % 236.46/236.73 (assume @p184 (forall @t131 (=> @t148 (=> @t154 @t156)))) % 236.46/236.73 (assume @p185 (forall @t131 (=> @t148 (=> @t154 (and @t156 @t155 @t153))))) % 236.46/236.73 (assume @p186 (forall @t131 (=> @t150 (forall @t145 (=> (tptp.pp (tptp.aa_TPTP_ind_bool @t144 @t149)) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in (tptp.aa_TPTP_ind_TPTP_ind (tptp.aa_TPT1424761345TP_ind tptp.scratc1624135595d_pair @t124) @t127)) @t134))))))) % 236.46/236.73 (assume @p187 (forall @t117 (=> @t158 (= (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1146276611_proj1 @t157) @t114)))) % 236.46/236.73 (assume @p188 (forall @t117 (=> @t159 (= (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1146276610_proj0 @t157) @t111)))) % 236.46/236.73 (assume @p189 (forall @t113 (=> @t162 @t161))) % 236.46/236.73 (assume @p190 (forall @t113 (=> @t161 @t162))) % 236.46/236.73 (assume @p191 (forall @t113 (=> @t159 (=> @t162 (or (= @t111 tptp.scratc1745451206ptyset) (exists @t167 (and @t166 @t165 (= @t111 @t164)))))))) % 236.46/236.73 (assume @p192 (forall @t113 (=> (tptp.pp (tptp.aa_TPTP_ind_bool @t111 tptp.scratc1745451206ptyset)) (=> (forall @t167 (=> @t166 (=> @t165 (=> @t168 (tptp.pp (tptp.aa_TPTP_ind_bool @t111 @t164)))))) (forall (@list @t114) (=> (tptp.pp (tptp.aa_TPTP_ind_bool tptp.scratc1337809184_nat_p @t114)) (tptp.pp (tptp.aa_TPTP_ind_bool @t111 @t114)))))))) % 236.46/236.73 (assume @p193 (tptp.pp (tptp.aa_TPTP_ind_bool tptp.scratc1337809184_nat_p @t20))) % 236.46/236.73 (assume @p194 (forall @t113 (=> @t162 (tptp.pp (tptp.aa_TPTP_ind_bool tptp.scratc1337809184_nat_p @t169))))) % 236.46/236.73 (assume @p195 (tptp.pp (tptp.aa_TPTP_ind_bool @t170 @t20))) % 236.46/236.73 (assume @p196 (forall @t117 (=> @t172 (=> (= @t169 (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc912327602rdsucc @t114)) @t171)))) % 236.46/236.73 (assume @p197 (forall @t113 (not (= @t169 tptp.scratc1745451206ptyset)))) % 236.46/236.73 (assume @p198 (forall @t131 (=> @t174 @t173))) % 236.46/236.73 (assume @p199 (forall @t131 (=> @t174 @t150))) % 236.46/236.73 (assume @p200 (forall @t131 (=> @t150 (=> @t173 @t174)))) % 236.46/236.73 (assume @p201 (forall @t113 (tptp.pp (tptp.aa_TPTP_ind_bool @t160 @t175)))) % 236.46/236.73 (assume @p202 (forall @t117 (=> @t177 @t176))) % 236.46/236.73 (assume @p203 (forall @t117 (=> @t176 @t177))) % 236.46/236.73 (assume @p204 (forall @t131 (=> @t181 (or @t180 @t179)))) % 236.46/236.73 (assume @p205 (forall @t131 (=> @t158 (=> @t123 @t180)))) % 236.46/236.73 (assume @p206 (forall @t131 (=> @t148 (=> @t182 @t179)))) % 236.46/236.73 (assume @p207 (forall @t131 (=> @t181 (or (and @t123 @t180) (and @t182 @t179))))) % 236.46/236.73 (assume @p208 (forall @t113 (tptp.pp (tptp.aa_TPTP_ind_bool tptp.scratc1675368811closed @t183)))) % 236.46/236.73 (assume @p209 (forall @t113 (tptp.pp (tptp.aa_TPTP_ind_bool @t160 @t183)))) % 236.46/236.73 (assume @p210 (forall @t131 (=> @t148 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t146 (tptp.aa_fun277296641TP_ind (tptp.aa_TPT494704832TP_ind tptp.scratc1071331552d_repl @t111) @t114))) (exists @t91 (and @t98 (tptp.pp (tptp.aa_TPTP_ind_bool @t97 @t111)) (= @t124 (tptp.aa_TPTP_ind_TPTP_ind @t114 @t87)))))))) % 236.46/236.73 (assume @p211 (forall @t117 (= @t176 @t177))) % 236.46/236.73 (assume @p212 (forall @t117 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t125 (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1525024638_union @t111))) (exists @t82 (and @t81 (tptp.pp (tptp.aa_TPTP_ind_bool @t125 @t80)) (tptp.pp (tptp.aa_TPTP_ind_bool @t101 @t111))))))) % 236.46/236.73 (assume @p213 (not (exists @t113 (tptp.pp (tptp.aa_TPTP_ind_bool @t160 tptp.scratc1745451206ptyset))))) % 236.46/236.73 (assume @p214 (forall @t113 (=> (forall @t167 (=> @t166 (=> (forall (@list @t124) (=> (tptp.pp (tptp.aa_TPTP_ind_bool @t146 @t163)) (tptp.pp (tptp.aa_TPTP_ind_bool @t111 @t124)))) @t168))) (forall (@list @t184) (tptp.pp (tptp.aa_TPTP_ind_bool @t111 @t184)))))) % 236.46/236.73 (assume @p215 (forall @t117 (=> @t172 (=> (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc952408420d_Subq @t111) @t114)) (=> @t177 @t171))))) % 236.46/236.73 (assume @p216 (forall @t189 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_cb @t185)) (=> @t188 (tptp.pp (tptp.aa_fun171081125l_bool tptp.scratc1684187121n_some @t186)))))) % 236.46/236.73 (assume @p217 (forall @t189 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_ca @t185)) (=> @t188 (tptp.pp (tptp.aa_fun171081125l_bool tptp.scratc2126870313_n_one @t186)))))) % 236.46/236.73 (assume @p218 (forall @t189 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_bx @t185)) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1083610823d_n_is @t192) @t190))))) % 236.46/236.73 (assume @p219 @t200) % 236.46/236.73 (assume @p220 (forall @t189 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_bz @t185)) (tptp.pp (tptp.aa_fun171081125l_bool (tptp.scratc203046453nd_one @t11) @t201))))) % 236.46/236.73 (assume @p221 (forall @t189 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_ch @t185)) (=> (tptp.pp (tptp.aa_TPTP_ind_bool tptp.scratc1161393342_cond1 @t185)) (=> (tptp.pp (tptp.aa_TPTP_ind_bool tptp.scratc1161393343_cond2 @t185)) (tptp.pp (tptp.aa_fun171081125l_bool @t109 @t202))))))) % 236.46/236.73 (assume @p222 (forall @t189 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_br @t185)) (tptp.pp (tptp.aa_TPTP_ind_bool @t203 @t192))))) % 236.46/236.73 (assume @p223 @t208) % 236.46/236.73 (assume @p224 (forall @t189 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_cc @t185)) (tptp.pp (tptp.aa_TPTP_ind_bool @t209 @t185))))) % 236.46/236.73 (assume @p225 (forall @t189 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_cl @t185)) (tptp.scratc1451164978_is_of @t190 tptp.aTP_Lamm_a)))) % 236.46/236.73 (assume @p226 (forall @t189 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_ck @t185)) (tptp.pp (tptp.aa_TPTP_ind_bool @t209 tptp.scratc45782132nd_n_1))))) % 236.46/236.73 (assume @p227 (forall @t189 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_cf @t185)) (tptp.pp (tptp.aa_TPTP_ind_bool @t210 (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1017762772_power tptp.scratc193932176nd_nat)))))) % 236.46/236.73 (assume @p228 (forall @t189 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_a @t185)) (tptp.pp (tptp.aa_TPTP_ind_bool @t210 tptp.scratc193932176nd_nat))))) % 236.46/236.73 (assume @p229 (forall @t189 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_cj @t185)) (tptp.pp (tptp.aa_fun171081125l_bool @t109 @t211))))) % 236.46/236.73 (assume @p230 (forall @t189 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_ce @t185)) (tptp.pp (tptp.aa_fun171081125l_bool @t109 @t212))))) % 236.46/236.73 (assume @p231 (forall @t189 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_bw @t185)) (tptp.pp (tptp.aa_fun171081125l_bool @t109 @t213))))) % 236.46/236.73 (assume @p232 (forall @t189 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_bt @t185)) (tptp.pp (tptp.aa_fun171081125l_bool @t109 @t214))))) % 236.46/236.73 (assume @p233 (forall @t189 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_bq @t185)) (tptp.pp (tptp.aa_fun171081125l_bool @t109 @t215))))) % 236.46/236.73 (assume @p234 (forall @t189 (= (tptp.aa_TPT494704832TP_ind tptp.aTP_Lamm_bj @t185) (tptp.aa_TPT494704832TP_ind tptp.scratc1071331552d_repl (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc873550751tminus @t185) @t216))))) % 236.46/236.73 (assume @p235 (forall @t189 (=> @t217 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_ag @t185)) (not (= @t185 tptp.scratc1745451206ptyset)))))) % 236.46/236.73 (assume @p236 (forall @t189 (=> @t217 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_bh @t185)) (exists @t82 (and @t81 (= (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1679165215d_Inj1 @t80) @t185))))))) % 236.46/236.73 (assume @p237 (forall @t189 (=> @t217 (= (tptp.pp (tptp.aa_TPTP_ind_bool tptp.aTP_Lamm_bi @t185)) (exists @t82 (and @t81 (= (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1679165214d_Inj0 @t80) @t185))))))) % 236.46/236.73 (assume @p238 (forall @t220 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_dl @t185) @t218)) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool @t219 @t218) @t218))))) % 236.46/236.73 (assume @p239 (forall @t220 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t201 @t218)) (tptp.pp (tptp.scratc438620580_d_and (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1083610823d_n_is (tptp.aa_TPTP_ind_TPTP_ind @t221 tptp.scratc45782132nd_n_1)) @t190) (tptp.aa_fun171081125l_bool tptp.scratc2011078052_n_all (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_ad @t218))))))) % 236.46/236.73 (assume @p240 (forall @t220 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t211 @t218)) (=> (tptp.pp (tptp.aa_TPTP_ind_bool @t203 @t223)) (tptp.pp (tptp.aa_TPTP_ind_bool @t222 @t218)))))) % 236.46/236.73 (assume @p241 (forall @t220 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t214 @t218)) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1083610823d_n_is (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc1084070009d_n_pl @t190) @t218)) @t224))))) % 236.46/236.73 (assume @p242 (forall @t220 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t213 @t218)) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1083610823d_n_is @t225) @t224))))) % 236.46/236.73 (assume @p243 (forall @t220 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_ad @t185) @t218)) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1083610823d_n_is (tptp.aa_TPTP_ind_TPTP_ind @t226 @t223)) @t227))))) % 236.46/236.73 (assume @p244 (forall @t220 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t212 @t218)) (=> (tptp.pp (tptp.aa_TPTP_ind_bool @t187 @t218)) (tptp.pp (tptp.aa_TPTP_ind_bool @t209 @t223)))))) % 236.46/236.73 (assume @p245 (forall @t220 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_af @t185) @t218)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo1142376798l_bool tptp.scratc153411835nd_imp @t228) (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1083610818d_n_in @t223) @t185)))))) % 236.46/236.73 (assume @p246 (forall @t220 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.aTP_Lamm_bg @t185) @t218) (tptp.aa_fun277296641TP_ind (tptp.aa_TPT494704832TP_ind tptp.scratc1071331552d_repl @t229) (tptp.aa_TPT1424761345TP_ind tptp.scratc1624135595d_pair @t218))))) % 236.46/236.73 (assume @p247 (forall @t220 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_co @t185) @t218)) (tptp.pp (tptp.aa_fun171081125l_bool (tptp.scratc1829701671all_of @t231) @t230))))) % 236.46/236.73 (assume @p248 (forall @t220 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t215 @t218)) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1083610823d_n_is @t224) @t225))))) % 236.46/236.73 (assume @p249 (forall @t220 (= (tptp.aa_fun277296641TP_ind (tptp.aa_TPT494704832TP_ind tptp.aTP_Lamm_bk @t185) @t218) (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc957265209nunion @t216) (tptp.aa_fun277296641TP_ind (tptp.aa_TPT494704832TP_ind tptp.scratc1071331552d_repl @t185) @t218))))) % 236.46/236.73 (assume @p250 (forall @t220 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t186 @t218)) (tptp.pp (tptp.aa_TPTP_ind_bool @t222 @t223))))) % 236.46/236.73 (assume @p251 (forall @t220 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t231 @t218)) (tptp.pp (tptp.aa_TPTP_ind_bool @t233 @t232))))) % 236.46/236.73 (assume @p252 (forall @t220 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t202 @t218)) (tptp.pp @t228)))) % 236.46/236.73 (assume @p253 (forall @t220 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_bl @t185) @t218)) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc192357794nd_nIn @t218) @t185))))) % 236.46/236.73 (assume @p254 (forall @t220 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t234 @t218)) (tptp.pp (tptp.aa_TPTP_ind_bool @t233 @t185))))) % 236.46/236.73 (assume @p255 (forall @t220 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.aTP_Lamm_ac @t185) @t218) @t227))) % 236.46/236.73 (assume @p256 (forall @t220 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.aTP_Lamm_bd @t185) @t218) (tptp.aa_TPTP_ind_TPTP_ind tptp.scratc1525024638_union @t229)))) % 236.46/236.73 (assume @p257 (forall @t220 (=> @t235 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.aTP_Lamm_bf @t185) @t218)) (exists @t91 (and @t98 (= @t218 (tptp.aa_TPTP_ind_TPTP_ind (tptp.aa_TPT1424761345TP_ind tptp.scratc1624135595d_pair @t185) @t87)))))))) % 236.46/236.73 (assume @p258 (forall @t243 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.aTP_Lamm_cw @t185) @t218) @t236)) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.scratc1564950462d_e_is @t242) (tptp.aa_TPTP_ind_TPTP_ind (tptp.aa_TPT1424761345TP_ind @t241 @t240) @t238)) @t236))))) % 236.46/236.73 (assume @p259 (forall @t243 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.aa_TPT1424761345TP_ind (tptp.aTP_Lamm_bn @t185) @t218) @t236) (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc1550011566bnd_if (tptp.aa_TPTP_ind_bool @t170 @t236) @t185) @t218)))) % 236.46/236.73 (assume @p260 (forall @t243 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.aa_fun1235454963TP_ind (tptp.aTP_Lamm_bm @t185) @t218) @t236) (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc1550011566bnd_if @t245 @t236) (tptp.scratc120562615nd_eps @t244))))) % 236.46/236.73 (assume @p261 (forall @t243 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.aTP_Lamm_at @t185) @t218) @t236)) (tptp.pp (tptp.aa_TPTP_ind_bool @t247 @t218))))) % 236.46/236.73 (assume @p262 (forall @t243 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_fun1584354236d_bool (tptp.aTP_Lamm_cp @t185) @t218) @t236)) (=> @t250 @t248)))) % 236.46/236.73 (assume @p263 (forall @t243 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t230 @t236)) (=> (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool @t251 @t218) @t236)) (=> (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool @t251 @t236) @t218)) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.scratc1564950462d_e_is @t232) @t218) @t236))))))) % 236.46/236.73 (assume @p264 (forall @t243 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.aTP_Lamm_cx @t185) @t218) @t236)) (tptp.scratc1451164978_is_of @t238 @t252)))) % 236.46/236.73 (assume @p265 (forall @t243 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.aTP_Lamm_cy @t185) @t218) @t236)) (tptp.scratc1451164978_is_of @t240 @t234)))) % 236.46/236.73 (assume @p266 (forall @t243 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_fun1584354236d_bool (tptp.aTP_Lamm_de @t185) @t218) @t236)) (tptp.scratc1451164978_is_of @t254 @t234)))) % 236.46/236.73 (assume @p267 (forall @t243 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.aTP_Lamm_di @t185) @t218) @t236)) (tptp.pp (tptp.aa_fun171081125l_bool (tptp.scratc1829701671all_of @t256) @t255))))) % 236.46/236.73 (assume @p268 (forall @t243 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t244 @t236)) (and (tptp.pp (tptp.aa_TPTP_ind_bool @t257 @t185)) @t248)))) % 236.46/236.73 (assume @p269 (forall @t243 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_fun1584354236d_bool (tptp.aTP_Lamm_db @t185) @t218) @t236)) (=> @t248 (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.scratc2035434666_image @t249 @t185) (tptp.aa_fun277296641TP_ind (tptp.aa_TPT494704832TP_ind tptp.scratc1709589394_Sigma @t249) @t253)) @t236)))))) % 236.46/236.73 (assume @p270 (forall @t243 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_fun1584354236d_bool (tptp.aTP_Lamm_cq @t185) @t218) @t236)) (=> @t248 @t250)))) % 236.46/236.73 (assume @p271 (forall @t243 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_fun1584354236d_bool (tptp.aTP_Lamm_dk @t185) @t218) @t236)) (tptp.pp (tptp.aa_fun171081125l_bool @t259 @t258))))) % 236.46/236.73 (assume @p272 (forall @t243 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_fun1584354236d_bool (tptp.aTP_Lamm_bc @t185) @t218) @t236)) (tptp.pp (tptp.aa_fun171081125l_bool @t259 @t260))))) % 236.46/236.73 (assume @p273 (forall @t243 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.aTP_Lamm_da @t185) @t218) @t236)) (tptp.pp (tptp.aa_fun171081125l_bool @t262 @t261))))) % 236.46/236.73 (assume @p274 (forall @t243 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.aTP_Lamm_cu @t185) @t218) @t236)) (tptp.pp (tptp.aa_fun171081125l_bool @t262 @t263))))) % 236.46/236.73 (assume @p275 (forall @t243 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.aTP_Lamm_cs @t185) @t218) @t236)) (tptp.pp (tptp.aa_fun171081125l_bool @t262 @t264))))) % 236.46/236.73 (assume @p276 (forall @t243 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t256 @t236)) (tptp.pp (tptp.aa_TPTP_ind_bool @t257 @t265))))) % 236.46/236.73 (assume @p277 (forall @t243 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t266 @t236)) (tptp.pp (tptp.aa_TPTP_ind_bool @t257 @t242))))) % 236.46/236.73 (assume @p278 (forall @t243 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_fun1584354236d_bool (tptp.aTP_Lamm_dc @t185) @t218) @t236)) (tptp.pp (tptp.aa_TPTP_ind_bool @t257 @t249))))) % 236.46/236.73 (assume @p279 (forall @t243 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.aa_TPT1424761345TP_ind (tptp.aTP_Lamm_av @t185) @t218) @t236) (tptp.aa_TPTP_ind_TPTP_ind @t221 (tptp.aa_TPTP_ind_TPTP_ind @t226 @t236))))) % 236.46/236.73 (assume @p280 (forall @t243 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_fun1584354236d_bool (tptp.aTP_Lamm_dd @t185) @t218) @t236)) (tptp.pp (tptp.aa_TPTP_ind_bool @t218 @t254))))) % 236.46/236.73 (assume @p281 (forall @t243 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_fun1913827119d_bool (tptp.aTP_Lamm_be @t185) @t218) @t236)) (forall @t91 (=> @t98 (=> (tptp.pp (tptp.aa_TPTP_ind_bool @t97 @t185)) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool tptp.scratc1550011574bnd_in (tptp.aa_TPTP_ind_TPTP_ind @t267 @t87)) (tptp.aa_TPTP_ind_TPTP_ind @t218 @t87))))))))) % 236.46/236.73 (assume @p282 (forall @t269 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.aa_TPT1424761345TP_ind (tptp.aa_TPT1791839040TP_ind (tptp.aTP_Lamm_aw @t185) @t218) @t236) @t268) (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc1550011566bnd_if (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.scratc2035434666_image @t185 @t218) @t236) @t268) (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc1933877819d_soft @t185 @t218 @t236) @t268)) tptp.scratc1745451206ptyset)))) % 236.46/236.73 (assume @p283 (forall @t269 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t263 @t268)) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool @t219 (tptp.aa_TPTP_ind_TPTP_ind @t239 @t270)) @t236))))) % 236.46/236.73 (assume @p284 (forall @t269 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t264 @t268)) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool @t271 (tptp.aa_TPTP_ind_TPTP_ind @t237 @t270)) @t268))))) % 236.46/236.73 (assume @p285 (forall @t269 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aTP_Lamm_dg @t185) @t218) @t236) @t268)) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool @t219 @t273) @t272))))) % 236.46/236.73 (assume @p286 (forall @t269 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool @t274 @t218) @t236) @t268)) (tptp.pp (tptp.aa_TPTP_ind_bool @t247 @t273))))) % 236.46/236.73 (assume @p287 (forall @t269 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aTP_Lamm_ax @t185) @t218) @t236) @t268)) (tptp.pp (tptp.aa_TPTP_ind_bool @t275 @t273))))) % 236.46/236.73 (assume @p288 (forall @t269 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t261 @t268)) (tptp.scratc1451164978_is_of @t270 @t266)))) % 236.46/236.73 (assume @p289 (forall @t269 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aTP_Lamm_ar @t185) @t218) @t236) @t268)) (tptp.pp (tptp.scratc951703481d_l_ec @t278 @t277))))) % 236.46/236.73 (assume @p290 (forall @t269 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aTP_Lamm_as @t185) @t218) @t236) @t268)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo1142376798l_bool tptp.scratc153411835nd_imp @t278) @t277))))) % 236.46/236.73 (assume @p291 (forall @t269 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t255 @t268)) (=> (tptp.pp (tptp.aa_fun171081125l_bool @t259 (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aTP_Lamm_dg @t218) @t236) @t268))) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.scratc1564950462d_e_is @t265) @t236) @t268)))))) % 236.46/236.73 (assume @p292 (forall @t269 (=> (and @t235 (tptp.gg_TPTP_ind @t236) (tptp.gg_TPTP_ind @t268)) (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aTP_Lamm_bo @t185) @t218) @t236) @t268)) (or (and @t279 (= @t268 @t218)) (and (not @t279) (= @t268 @t236))))))) % 236.46/236.73 (assume @p293 (forall @t269 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t258 @t268)) (=> @t248 (=> @t281 @t280))))) % 236.46/236.73 (assume @p294 (forall @t269 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t260 @t268)) (=> @t248 (=> @t280 @t281))))) % 236.46/236.73 (assume @p295 (forall @t269 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aTP_Lamm_az @t185) @t218) @t236) @t268)) (tptp.pp (tptp.aa_fun171081125l_bool (tptp.scratc87254192nd_all @t185) @t282))))) % 236.46/236.73 (assume @p296 (forall @t269 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aTP_Lamm_aq @t185) @t218) @t236) @t268)) (tptp.pp (tptp.aa_fun171081125l_bool (tptp.scratc940362479l_some @t218) (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool @t274 @t236) @t268)))))) % 236.46/236.73 (assume @p297 (forall @t286 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t282 @t283)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo1142376798l_bool tptp.scratc153411835nd_imp @t285) (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool @t219 @t268) @t283)))))) % 236.46/236.73 (assume @p298 (forall @t286 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aa_TPT1123896796d_bool (tptp.aTP_Lamm_an @t185) @t218) @t236) @t268) @t283)) (=> @t287 (tptp.pp @t285))))) % 236.46/236.73 (assume @p299 (forall @t286 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aa_fun987228051d_bool (tptp.aTP_Lamm_am @t185) @t218) @t236) @t268) @t283)) (tptp.pp (tptp.aa_fun171081125l_bool @t259 @t288))))) % 236.46/236.73 (assume @p300 (forall @t286 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aa_fun987228051d_bool (tptp.aTP_Lamm_ao @t185) @t218) @t236) @t268) @t283)) (tptp.pp (tptp.aa_fun171081125l_bool @t259 (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aa_TPT1123896796d_bool (tptp.aTP_Lamm_an @t218) @t236) @t268) @t283)))))) % 236.46/236.73 (assume @p301 (forall @t286 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.aa_TPT1424761345TP_ind (tptp.aa_TPT1791839040TP_ind (tptp.aa_TPT1781712639TP_ind (tptp.aTP_Lamm_au @t185) @t218) @t236) @t268) @t283) (tptp.aa_TPTP_ind_TPTP_ind @t221 (tptp.aa_TPTP_ind_TPTP_ind (tptp.aa_TPT1424761345TP_ind tptp.scratc1549486784bnd_ap (tptp.aa_TPTP_ind_TPTP_ind (tptp.scratc302523178wissel @t185 @t236) @t268)) @t283))))) % 236.46/236.73 (assume @p302 (forall (@list @t185 @t218 @t236 @t268 @t283 @t289) (= (tptp.pp (tptp.aa_TPTP_ind_bool @t288 @t289)) (tptp.pp (tptp.aa_fun171081125l_bool @t259 @t290))))) % 236.46/236.73 (assume @p303 (forall @t292 (= (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aa_TPT1123896796d_bool (tptp.aa_TPT985247859d_bool (tptp.aa_TPT125613450d_bool (tptp.aTP_Lamm_aj @t185) @t218) @t236) @t268) @t283) @t289) @t291)) (=> @t287 (=> (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool @t185 @t289) @t291)) (tptp.pp (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool @t271 (tptp.aa_TPTP_ind_TPTP_ind (tptp.aa_TPT1424761345TP_ind tptp.scratc1549486784bnd_ap @t272) @t289)) (tptp.aa_TPTP_ind_TPTP_ind (tptp.aa_TPT1424761345TP_ind tptp.scratc1549486784bnd_ap @t284) @t291)))))))) % 236.46/236.73 (assume @p304 (forall @t292 (= (tptp.pp (tptp.aa_TPTP_ind_bool @t290 @t291)) (tptp.pp (tptp.aa_fun171081125l_bool @t259 (tptp.aa_TPT43085870d_bool (tptp.aa_TPT60673477d_bool (tptp.aa_TPT1123896796d_bool (tptp.aa_TPT985247859d_bool (tptp.aa_TPT125613450d_bool (tptp.aTP_Lamm_aj @t218) @t236) @t268) @t283) @t289) @t291)))))) % 236.46/236.73 (assume @p305 (forall @t220 (=> @t217 (= (tptp.aa_TPTP_ind_TPTP_ind (tptp.aTP_Lamm_ah @t185) @t218) @t185)))) % 236.46/236.73 (assume @p306 (forall @t189 (= (tptp.aa_TPTP_ind_TPTP_ind tptp.aTP_Lamm_ab @t185) tptp.scratc193932176nd_nat))) % 236.46/236.73 (assume @p307 (tptp.pp tptp.fTrue)) % 236.46/236.73 (assume @p308 (forall @t298 (or @t297 @t294))) % 236.46/236.73 (assume @p309 (forall @t298 (or @t297 @t299))) % 236.46/236.73 (assume @p310 (forall @t298 (or @t301 @t300 @t296))) % 236.46/236.73 (assume @p311 (forall (@list @t295) (=> (tptp.gg_bool @t295) (or (= @t295 tptp.fTrue) (= @t295 tptp.fFalse))))) % 236.46/236.73 (assume @p312 (not (tptp.pp tptp.fFalse))) % 236.46/236.73 (assume @p313 (forall @t298 (or (not @t302) @t301 @t294))) % 236.46/236.73 (assume @p314 (forall (@list @t293 @t295) (or @t300 @t302))) % 236.46/236.73 (assume @p315 (forall @t298 (or @t299 @t302))) % 236.46/236.73 (assume @p316 (forall (@list @t295 @t303) (or (not (tptp.pp (tptp.aa_TPTP_ind_bool @t295 @t303))) (tptp.pp (tptp.fEx_TPTP_ind @t295))))) % 236.46/236.73 (assume @p317 @t310) % 236.46/236.73 (assume @p318 @t316) % 236.46/236.73 (assume @p319 (forall @t319 (= (tptp.aa_TPTP_ind_bool (tptp.cOMBS_2003118649l_bool @t295 @t293) @t317) (tptp.aa_bool_bool (tptp.aa_TPT2142672771l_bool @t295 @t317) @t318)))) % 236.46/236.73 (assume @p320 (forall @t319 (= (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool (tptp.cOMBC_1555011498d_bool @t295) @t293) @t317) (tptp.aa_TPTP_ind_bool (tptp.aa_TPT43085870d_bool @t295 @t317) @t293)))) % 236.46/236.73 (assume @p321 (forall @t319 (= (tptp.aa_TPT2142672771l_bool (tptp.cOMBB_658106424TP_ind @t295 @t293) @t317) (tptp.aa_boo1142376798l_bool @t295 @t318)))) % 236.46/236.73 (assume @p322 (not @t320)) % 236.46/236.73 (assume @p323 true) % 236.46/236.73 (step @p324 :rule evaluate :args ((= true false))) % 236.46/236.73 (step @p325 :rule refl :args (@t185)) % 236.46/236.73 (step @p326 :rule cong :premises (@p37) :args (@t193)) % 236.46/236.73 (step @p327 :rule cong :premises (@p326 @p325) :args (@t194)) % 236.46/236.73 (step @p328 :rule refl :args (@t190)) % 236.46/236.73 (step @p329 :rule refl :args (tptp.aTP_Lamm_ag)) % 236.46/236.73 (step @p330 :rule cong :premises (@p118) :args (@t22)) % 236.46/236.73 (step @p331 :rule cong :premises (@p330 @p329) :args (@t23)) % 236.46/236.73 (step @p332 :rule trans :premises (@p44 @p331)) % 236.46/236.73 (step @p333 :rule cong :premises (@p332) :args (@t21)) % 236.46/236.73 (step @p334 :rule trans :premises (@p43 @p333)) % 236.46/236.73 (step @p335 :rule cong :premises (@p334 @p328) :args (@t203)) % 236.46/236.73 (step @p336 :rule cong :premises (@p335 @p327) :args (@t204)) % 236.46/236.73 (step @p337 :rule cong :premises (@p336) :args (@t205)) % 236.46/236.73 (step @p338 :rule refl :args (@t206)) % 236.46/236.73 (step @p339 :rule cong :premises (@p338 @p337) :args (@t207)) % 236.46/236.73 (step @p340 :rule cong :premises (@p339) :args (@t208)) % 236.46/236.73 (step @p341 :rule eq_resolve :premises (@p223 @p340)) % 236.46/236.73 (step @p342 :rule instantiate :premises (@p341) :args (@t325)) % 236.46/236.73 (step @p343 :rule aci_norm :args ((= (or @t322 (or @t326 @t102)) (or @t322 @t326 @t102)))) % 236.46/236.73 (step @p344 :rule bool-impl-elim :args (@t103 @t102)) % 236.46/236.73 (step @p345 :rule refl :args (@t322)) % 236.46/236.73 (step @p346 :rule nary_cong :premises (@p345 @p344) :args ((or @t322 @t104))) % 236.46/236.73 (step @p347 :rule trans :premises (@p346 @p343)) % 236.46/236.73 (step @p348 :rule bool-impl-elim :args (@t81 @t104)) % 236.46/236.73 (step @p349 :rule trans :premises (@p348 @p347)) % 236.46/236.73 (step @p350 :rule cong :premises (@p349) :args (@t105)) % 236.46/236.73 (step @p351 :rule refl :args (@t106)) % 236.46/236.73 (step @p352 :rule cong :premises (@p351 @p350) :args (@t107)) % 236.46/236.73 (step @p353 :rule cong :premises (@p352) :args (@t108)) % 236.46/236.73 (step @p354 :rule eq_resolve :premises (@p137 @p353)) % 236.46/236.73 (step @p355 :rule instantiate :premises (@p354) :args ((@list tptp.aTP_Lamm_a tptp.aTP_Lamm_aa))) % 236.46/236.73 (step @p356 :rule cnf_equiv_pos2 :args (@t327)) % 236.46/236.73 (step @p357 :rule reordering :premises (@p356) :args ((or @t320 @t328 (not @t327)))) % 236.46/236.73 (step @p358 :rule chain_m_resolution :premises (@p357 @p322 @p355) :args (@t328 @t329 (@list @t320 @t327))) % 236.46/236.73 (step @p359 :rule skolemize :premises (@p358)) % 236.46/236.73 (step @p360 :rule cnf_or_neg :args (@t335 2)) % 236.46/236.73 (step @p361 :rule chain_m_resolution :premises (@p360 @p359) :args ((not @t330) @t336 @t337)) % 236.46/236.73 (step @p362 :rule cnf_equiv_pos2 :args (@t345)) % 236.46/236.73 (step @p363 :rule reordering :premises (@p362) :args ((or @t330 @t346 (not @t345)))) % 236.46/236.73 (step @p364 :rule chain_m_resolution :premises (@p363 @p361 @p342) :args (@t346 @t329 (@list @t330 @t345))) % 236.46/236.73 (step @p365 :rule false_intro :premises (@p364)) % 236.46/236.73 (step @p366 :rule aci_norm :args ((= (or (or @t348 @t347) @t312) @t349))) % 236.46/236.73 (step @p367 :rule refl :args (@t312)) % 236.46/236.73 (step @p368 :rule bool-and-de-morgan :args (@t314 @t313 true)) % 236.46/236.73 (step @p369 :rule nary_cong :premises (@p368 @p367) :args ((or (not @t315) @t312))) % 236.46/236.73 (step @p370 :rule trans :premises (@p369 @p366)) % 236.46/236.73 (step @p371 :rule bool-impl-elim :args (@t315 @t312)) % 236.46/236.73 (step @p372 :rule trans :premises (@p371 @p370)) % 236.46/236.73 (step @p373 :rule cong :premises (@p372) :args (@t316)) % 236.46/236.73 (step @p374 :rule eq_resolve :premises (@p318 @p373)) % 236.46/236.73 (step @p375 :rule eq-symm :args (@t339 @t340)) % 236.46/236.73 (step @p376 :rule refl :args (@t353)) % 236.46/236.73 (step @p377 :rule refl :args (@t355)) % 236.46/236.73 (step @p378 :rule refl :args (@t357)) % 236.46/236.73 (step @p379 :rule nary_cong :premises (@p378 @p377 @p376 @p375) :args (@t358)) % 236.46/236.73 (step @p380 :rule refl :args (@t359)) % 236.46/236.73 (step @p381 :rule cong :premises (@p380 @p379) :args ((=> @t359 @t358))) % 236.46/236.73 (assume-push @p475 @t359) % 236.46/236.73 (step @p383 :rule instantiate :premises (@p374) :args ((@list @t339 @t340))) % 236.46/236.73 (step-pop @p476 :rule scope :premises (@p383)) % 236.46/236.73 (step @p384 :rule process_scope :premises (@p476) :args (@t358)) % 236.46/236.73 (step @p386 :rule eq_resolve :premises (@p384 @p381)) % 236.46/236.73 (step @p387 :rule implies_elim :premises (@p386)) % 236.46/236.73 (step @p388 :rule chain_m_resolution :premises (@p387 @p374) :args (@t361 @t362 (@list @t359))) % 236.46/236.73 (step @p389 :rule cong :premises (@p334 @p327) :args (@t195)) % 236.46/236.73 (step @p390 :rule cong :premises (@p389 @p328) :args (@t196)) % 236.46/236.73 (step @p391 :rule cong :premises (@p390) :args (@t197)) % 236.46/236.73 (step @p392 :rule refl :args (@t198)) % 236.46/236.73 (step @p393 :rule cong :premises (@p392 @p391) :args (@t199)) % 236.46/236.73 (step @p394 :rule cong :premises (@p393) :args (@t200)) % 236.46/236.73 (step @p395 :rule eq_resolve :premises (@p219 @p394)) % 236.46/236.73 (step @p396 :rule instantiate :premises (@p395) :args (@t325)) % 236.46/236.73 (step @p397 :rule instantiate :premises (@p354) :args ((@list tptp.aTP_Lamm_a tptp.aTP_Lamm_bu))) % 236.46/236.73 (step @p398 :rule cnf_equiv_pos1 :args (@t364)) % 236.46/236.73 (step @p399 :rule reordering :premises (@p398) :args ((or (not @t110) @t363 (not @t364)))) % 236.46/236.73 (step @p400 :rule chain_m_resolution :premises (@p399 @p142 @p397) :args (@t363 @t365 (@list @t110 @t364))) % 236.46/236.73 (step @p401 :rule instantiate :premises (@p400) :args (@t325)) % 236.46/236.73 (step @p402 :rule bool-double-not-elim :args (@t331)) % 236.46/236.73 (step @p403 :rule refl :args (@t335)) % 236.46/236.73 (step @p404 :rule nary_cong :premises (@p403 @p402) :args ((or @t335 (not @t332)))) % 236.46/236.73 (step @p405 :rule cnf_or_neg :args (@t335 1)) % 236.46/236.73 (step @p406 :rule eq_resolve :premises (@p405 @p404)) % 236.46/236.73 (step @p407 :rule reordering :premises (@p406) :args ((or @t331 @t335))) % 236.46/236.73 (step @p408 :rule chain_m_resolution :premises (@p407 @p359) :args (@t331 @t336 @t337)) % 236.46/236.73 (step @p409 :rule bool-double-not-elim :args (@t333)) % 236.46/236.73 (step @p410 :rule nary_cong :premises (@p403 @p409) :args ((or @t335 (not @t334)))) % 236.46/236.73 (step @p411 :rule cnf_or_neg :args (@t335 0)) % 236.46/236.73 (step @p412 :rule eq_resolve :premises (@p411 @p410)) % 236.46/236.73 (step @p413 :rule reordering :premises (@p412) :args ((or @t333 @t335))) % 236.46/236.73 (step @p414 :rule chain_m_resolution :premises (@p413 @p359) :args (@t333 @t336 @t337)) % 236.46/236.73 (step @p415 :rule cnf_or_pos :args (@t367)) % 236.46/236.73 (step @p416 :rule reordering :premises (@p415) :args ((or @t334 @t332 @t366 (not @t367)))) % 236.46/236.73 (step @p417 :rule chain_m_resolution :premises (@p416 @p414 @p408 @p401) :args (@t366 (@list false false false) (@list @t333 @t331 @t367))) % 236.46/236.73 (step @p418 :rule cnf_equiv_pos1 :args (@t369)) % 236.46/236.73 (step @p419 :rule reordering :premises (@p418) :args ((or (not @t366) @t368 (not @t369)))) % 236.46/236.73 (step @p420 :rule chain_m_resolution :premises (@p419 @p417 @p396) :args (@t368 @t365 (@list @t366 @t369))) % 236.46/236.73 (step @p421 :rule true_intro :premises (@p420)) % 236.46/236.73 (step @p422 :rule refl :args (@t340)) % 236.46/236.73 (step @p423 :rule refl :args (@t339)) % 236.46/236.73 (step @p424 :rule eq-symm :args (@t342 tptp.fequal_TPTP_ind)) % 236.46/236.73 (step @p425 :rule refl :args (@t70)) % 236.46/236.73 (step @p426 :rule cong :premises (@p425 @p424) :args ((=> @t70 @t370))) % 236.46/236.73 (assume-push @p477 @t70) % 236.46/236.73 (step @p428 :rule instantiate :premises (@p90) :args ((@list @t341))) % 236.46/236.73 (step-pop @p478 :rule scope :premises (@p428)) % 236.46/236.73 (step @p429 :rule process_scope :premises (@p478) :args (@t370)) % 236.46/236.73 (step @p431 :rule eq_resolve :premises (@p429 @p426)) % 236.46/236.73 (step @p432 :rule implies_elim :premises (@p431)) % 236.46/236.73 (step @p433 :rule chain_m_resolution :premises (@p432 @p90) :args ((= tptp.fequal_TPTP_ind @t342) @t362 (@list @t70))) % 236.46/236.73 (step @p434 :rule cong :premises (@p433 @p423) :args (@t350)) % 236.46/236.73 (step @p435 :rule cong :premises (@p434 @p422) :args (@t351)) % 236.46/236.73 (step @p436 :rule cong :premises (@p435) :args (@t352)) % 236.46/236.73 (step @p437 :rule trans :premises (@p436 @p421)) % 236.46/236.73 (step @p438 :rule true_elim :premises (@p437)) % 236.46/236.73 (step @p439 :rule instantiate :premises (@p18) :args ((@list @t338 @t324))) % 236.46/236.73 (step @p440 :rule instantiate :premises (@p18) :args ((@list tptp.scratc912327602rdsucc @t324))) % 236.46/236.73 (step @p441 :rule cnf_or_pos :args (@t361)) % 236.46/236.73 (step @p442 :rule reordering :premises (@p441) :args ((or @t355 @t357 @t353 @t360 (not @t361)))) % 236.46/236.73 (step @p443 :rule chain_m_resolution :premises (@p442 @p440 @p439 @p438 @p388) :args (@t360 (@list false false false false) (@list @t354 @t356 @t352 @t361))) % 236.46/236.73 (step @p444 :rule refl :args (@t343)) % 236.46/236.73 (step @p445 :rule cong :premises (@p444 @p443) :args (@t371)) % 236.46/236.73 (step @p446 :rule cong :premises (@p445) :args ((tptp.pp @t371))) % 236.46/236.73 (step @p447 :rule cong :premises (@p433 @p422) :args (@t372)) % 236.46/236.73 (step @p448 :rule cong :premises (@p447 @p422) :args (@t373)) % 236.46/236.73 (step @p449 :rule cong :premises (@p448) :args ((tptp.pp @t373))) % 236.46/236.73 (step @p450 :rule aci_norm :args ((= (or false @t374) @t374))) % 236.46/236.73 (step @p451 :rule refl :args (@t374)) % 236.46/236.73 (step @p452 :rule evaluate :args ((not true))) % 236.46/236.73 (step @p453 :rule eq-refl :args (@t304)) % 236.46/236.73 (step @p454 :rule cong :premises (@p453) :args (@t375)) % 236.46/236.73 (step @p455 :rule trans :premises (@p454 @p452)) % 236.46/236.73 (step @p456 :rule nary_cong :premises (@p455 @p451) :args (@t376)) % 236.46/236.73 (step @p457 :rule trans :premises (@p456 @p450)) % 236.46/236.73 (step @p458 :rule cong :premises (@p457) :args ((forall @t377 @t376))) % 236.46/236.73 (step @p459 :rule quant-var-elim-eq :args ((= (forall @t379 @t378) @t376))) % 236.46/236.73 (step @p460 :rule aci_norm :args ((= @t308 @t378))) % 236.46/236.73 (step @p461 :rule cong :premises (@p460) :args (@t380)) % 236.46/236.73 (step @p462 :rule trans :premises (@p461 @p459)) % 236.46/236.73 (step @p463 :rule cong :premises (@p462) :args (@t381)) % 236.46/236.73 (step @p464 :rule quant-merge-prenex :args ((= @t381 @t382))) % 236.46/236.73 (step @p465 :rule symm :premises (@p464)) % 236.46/236.73 (step @p466 :rule quant_var_reordering :args ((= @t310 @t382))) % 236.46/236.73 (step @p467 :rule trans :premises (@p466 @p465 @p463)) % 236.46/236.73 (step @p468 :rule trans :premises (@p467 @p458)) % 236.46/236.73 (step @p469 :rule eq_resolve :premises (@p317 @p468)) % 236.46/236.73 (step @p470 :rule instantiate :premises (@p469) :args ((@list @t340))) % 236.46/236.73 (step @p471 :rule true_intro :premises (@p470)) % 236.46/236.73 (step @p472 :rule symm :premises (@p471)) % 236.46/236.73 (step @p473 :rule trans :premises (@p472 @p449 @p446 @p365)) % 236.46/236.73 (step @p474 false :rule eq_resolve :premises (@p473 @p324)) % 236.46/236.73 ) % 236.46/236.73 % SZS output end Proof % 236.46/236.74 % cvc5 exiting %------------------------------------------------------------------------------