%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP071^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:24:58 AM UTC 2026 % Result : Theorem 0.44s 0.95s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP071^1 : TPTP v9.2.1. Released v7.5.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 04:12:55 EDT 2026 % 0.16/0.35 % CPUTime : % 0.37/0.61 %----Proving TH0 % 0.44/0.95 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.95 % SZS status Theorem % 0.44/0.95 % SZS output start Proof % 0.44/0.95 ( % 0.44/0.95 (declare-sort tptp.tree_a 0) % 0.44/0.95 (declare-sort tptp.a 0) % 0.44/0.95 (declare-sort tptp.produc1689254567Tree_a 0) % 0.44/0.95 (declare-sort tptp.produc981471411ee_a_a 0) % 0.44/0.95 (declare-sort tptp.produc143150363Tree_a 0) % 0.44/0.95 (declare-sort tptp.product_prod_a_a 0) % 0.44/0.95 (declare-sort tptp.set_Pr921883667ee_a_a 0) % 0.44/0.95 (declare-sort tptp.set_Pr1070816379Tree_a 0) % 0.44/0.95 (declare-sort tptp.set_a 0) % 0.44/0.95 (declare-sort tptp.multiset_a 0) % 0.44/0.95 (declare-sort tptp.set_Product_prod_a_a 0) % 0.44/0.95 (declare-sort tptp.list_a 0) % 0.44/0.95 (declare-const tptp.e_a tptp.tree_a) % 0.44/0.95 (declare-const tptp.product_fst_Tree_a_a (-> tptp.produc981471411ee_a_a tptp.tree_a)) % 0.44/0.95 (declare-const tptp.product_snd_Tree_a_a (-> tptp.produc981471411ee_a_a tptp.a)) % 0.44/0.95 (declare-const tptp.produc686083979Tree_a (-> tptp.a tptp.tree_a tptp.produc143150363Tree_a)) % 0.44/0.95 (declare-const tptp.product_fst_a_Tree_a (-> tptp.produc143150363Tree_a tptp.a)) % 0.44/0.95 (declare-const tptp.product_snd_a_Tree_a (-> tptp.produc143150363Tree_a tptp.tree_a)) % 0.44/0.95 (declare-const tptp.produc649172771ee_a_a (-> tptp.tree_a tptp.a tptp.produc981471411ee_a_a)) % 0.44/0.95 (declare-const tptp.heapIm837449470Leaf_a (-> tptp.tree_a tptp.produc143150363Tree_a)) % 0.44/0.95 (declare-const tptp.heapIm1257206334ight_a (-> tptp.tree_a tptp.tree_a)) % 0.44/0.95 (declare-const tptp.heapIm1140443833left_a (-> tptp.tree_a tptp.tree_a)) % 0.44/0.95 (declare-const tptp.t_a (-> tptp.a tptp.tree_a tptp.tree_a tptp.tree_a)) % 0.44/0.95 (declare-const tptp.heapIm1091024090Down_a (-> tptp.tree_a tptp.tree_a)) % 0.44/0.95 (declare-const tptp.val_a (-> tptp.tree_a tptp.a)) % 0.44/0.95 (declare-const tptp.if_Pro1144176865Tree_a (-> Bool tptp.produc143150363Tree_a tptp.produc143150363Tree_a tptp.produc143150363Tree_a)) % 0.44/0.95 (declare-const tptp.bNF_pi1059296282ee_a_a (-> (-> tptp.tree_a tptp.tree_a Bool) (-> tptp.tree_a tptp.a Bool) tptp.tree_a tptp.a tptp.tree_a)) % 0.44/0.95 (declare-const tptp.bNF_pi207687054Tree_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a tptp.tree_a Bool) tptp.a tptp.tree_a tptp.a)) % 0.44/0.95 (declare-const tptp.bNF_pi1407460238_a_a_a (-> (-> tptp.tree_a tptp.a Bool) (-> tptp.a tptp.a Bool) tptp.tree_a tptp.a tptp.a)) % 0.44/0.95 (declare-const tptp.bNF_pi1536086554Tree_a (-> (-> tptp.a tptp.tree_a Bool) (-> tptp.tree_a tptp.tree_a Bool) tptp.a tptp.tree_a tptp.tree_a)) % 0.44/0.95 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 0.44/0.95 (declare-const tptp.member254315204Tree_a (-> tptp.produc143150363Tree_a tptp.set_Pr1070816379Tree_a Bool)) % 0.44/0.95 (declare-const tptp.is_heap_a (-> tptp.tree_a Bool)) % 0.44/0.95 (declare-const tptp.add_mset_a (-> tptp.a tptp.multiset_a tptp.multiset_a)) % 0.44/0.95 (declare-const tptp.multiset_a2 (-> tptp.tree_a tptp.multiset_a)) % 0.44/0.95 (declare-const tptp.comp_T59512783Tree_a (-> (-> tptp.tree_a tptp.tree_a) (-> tptp.tree_a tptp.tree_a) tptp.tree_a tptp.tree_a)) % 0.44/0.95 (declare-const tptp.produc932333964ee_a_a (-> (-> tptp.a tptp.tree_a) tptp.product_prod_a_a tptp.produc143150363Tree_a)) % 0.44/0.95 (declare-const tptp.produc159857078_a_a_a (-> (-> tptp.tree_a tptp.a) tptp.produc981471411ee_a_a tptp.product_prod_a_a)) % 0.44/0.95 (declare-const tptp.produc1070656334ee_a_a (-> (-> tptp.a tptp.tree_a) tptp.product_prod_a_a tptp.produc981471411ee_a_a)) % 0.44/0.95 (declare-const tptp.produc606383786Tree_a (-> (-> tptp.tree_a tptp.a) tptp.produc1689254567Tree_a tptp.produc143150363Tree_a)) % 0.44/0.95 (declare-const tptp.produc969245172Tree_a (-> (-> tptp.a tptp.a) tptp.produc981471411ee_a_a tptp.produc981471411ee_a_a)) % 0.44/0.95 (declare-const tptp.produc569472578ee_a_a (-> (-> tptp.tree_a tptp.tree_a) tptp.produc981471411ee_a_a tptp.produc981471411ee_a_a)) % 0.44/0.95 (declare-const tptp.comp_a608639864Tree_a (-> (-> tptp.a tptp.a) (-> tptp.produc143150363Tree_a tptp.a) tptp.produc143150363Tree_a tptp.a)) % 0.44/0.95 (declare-const tptp.produc819961216ee_a_a (-> (-> tptp.tree_a tptp.tree_a) tptp.produc143150363Tree_a tptp.produc143150363Tree_a)) % 0.44/0.95 (declare-const tptp.comp_P825537953Tree_a (-> (-> tptp.produc143150363Tree_a tptp.tree_a) (-> tptp.produc143150363Tree_a tptp.produc143150363Tree_a) tptp.produc143150363Tree_a tptp.tree_a)) % 0.44/0.95 (declare-const tptp.comp_P1066590417ee_a_a (-> (-> tptp.produc981471411ee_a_a tptp.tree_a) (-> tptp.produc981471411ee_a_a tptp.produc981471411ee_a_a) tptp.produc981471411ee_a_a tptp.tree_a)) % 0.44/0.95 (declare-const tptp.produc1107567542Tree_a (-> (-> tptp.a tptp.a) tptp.produc143150363Tree_a tptp.produc143150363Tree_a)) % 0.44/0.95 (declare-const tptp.comp_P228269369Tree_a (-> (-> tptp.produc981471411ee_a_a tptp.tree_a) (-> tptp.produc143150363Tree_a tptp.produc981471411ee_a_a) tptp.produc143150363Tree_a tptp.tree_a)) % 0.44/0.95 (declare-const tptp.comp_P1103783853ee_a_a (-> (-> tptp.produc143150363Tree_a tptp.a) (-> tptp.produc981471411ee_a_a tptp.produc143150363Tree_a) tptp.produc981471411ee_a_a tptp.a)) % 0.44/0.95 (declare-const tptp.produc1205515265_a_a_o (-> (-> tptp.produc981471411ee_a_a Bool) tptp.tree_a tptp.a Bool)) % 0.44/0.95 (declare-const tptp.produc623433908ee_a_a (-> (-> tptp.produc143150363Tree_a tptp.produc981471411ee_a_a) tptp.a tptp.tree_a tptp.produc981471411ee_a_a)) % 0.44/0.95 (declare-const tptp.produc1808426884Tree_a (-> (-> tptp.produc981471411ee_a_a tptp.produc143150363Tree_a) tptp.tree_a tptp.a tptp.produc143150363Tree_a)) % 0.44/0.95 (declare-const tptp.produc740705523Tree_a (-> (-> tptp.produc143150363Tree_a tptp.tree_a) tptp.a tptp.tree_a tptp.tree_a)) % 0.44/0.95 (declare-const tptp.produc1291432345ee_a_o (-> (-> tptp.produc143150363Tree_a Bool) tptp.a tptp.tree_a Bool)) % 0.44/0.95 (declare-const tptp.produc21534708_a_a_a (-> (-> tptp.tree_a tptp.a) tptp.produc143150363Tree_a tptp.product_prod_a_a)) % 0.44/0.95 (declare-const tptp.bNF_fstOp_a_Tree_a_a (-> (-> tptp.a tptp.tree_a Bool) (-> tptp.tree_a tptp.a Bool) tptp.product_prod_a_a tptp.produc143150363Tree_a)) % 0.44/0.95 (declare-const tptp.produc802621147Tree_a (-> (-> tptp.a tptp.tree_a tptp.set_Pr1070816379Tree_a) tptp.produc143150363Tree_a tptp.set_Pr1070816379Tree_a)) % 0.44/0.95 (declare-const tptp.bNF_cs1091007358Tree_a (-> tptp.set_Pr1070816379Tree_a (-> tptp.produc143150363Tree_a tptp.tree_a) (-> tptp.produc1689254567Tree_a tptp.tree_a) (-> tptp.produc143150363Tree_a tptp.produc143150363Tree_a) (-> tptp.produc143150363Tree_a tptp.produc1689254567Tree_a) Bool)) % 0.44/0.95 (declare-const tptp.ord_le864074675ee_a_a (-> tptp.set_Pr921883667ee_a_a tptp.set_Pr921883667ee_a_a Bool)) % 0.44/0.95 (declare-const tptp.produc1587316832_a_a_o (-> (-> tptp.tree_a tptp.a Bool) tptp.produc981471411ee_a_a Bool)) % 0.44/0.95 (declare-const tptp.relcom439193229Tree_a (-> (-> tptp.a tptp.tree_a Bool) (-> tptp.tree_a tptp.tree_a Bool) tptp.a tptp.tree_a Bool)) % 0.44/0.95 (declare-const tptp.bNF_sndOp_a_Tree_a_a (-> (-> tptp.a tptp.tree_a Bool) (-> tptp.tree_a tptp.a Bool) tptp.product_prod_a_a tptp.produc981471411ee_a_a)) % 0.44/0.95 (declare-const tptp.bNF_sn687175434Tree_a (-> (-> tptp.a tptp.tree_a Bool) (-> tptp.tree_a tptp.tree_a Bool) tptp.produc143150363Tree_a tptp.produc1689254567Tree_a)) % 0.44/0.95 (declare-const tptp.bNF_cs739966834Tree_a (-> tptp.set_Pr1070816379Tree_a (-> tptp.product_prod_a_a tptp.a) (-> tptp.produc143150363Tree_a tptp.a) (-> tptp.produc143150363Tree_a tptp.product_prod_a_a) (-> tptp.produc143150363Tree_a tptp.produc143150363Tree_a) Bool)) % 0.44/0.95 (declare-const tptp.ord_less_eq_a (-> tptp.a tptp.a Bool)) % 0.44/0.95 (declare-const tptp.comp_T236170232Tree_a (-> (-> tptp.tree_a tptp.tree_a) (-> tptp.produc143150363Tree_a tptp.tree_a) tptp.produc143150363Tree_a tptp.tree_a)) % 0.44/0.95 (declare-const tptp.produc1207340411ee_a_a (-> (-> tptp.tree_a tptp.a tptp.produc981471411ee_a_a) tptp.produc981471411ee_a_a tptp.produc981471411ee_a_a)) % 0.44/0.95 (declare-const tptp.product_snd_a_a (-> tptp.product_prod_a_a tptp.a)) % 0.44/0.95 (declare-const tptp.produc1296751488Tree_a (-> (-> tptp.a tptp.tree_a) tptp.produc981471411ee_a_a tptp.produc1689254567Tree_a)) % 0.44/0.95 (declare-const tptp.bNF_fstOp_a_a_Tree_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a tptp.tree_a Bool) tptp.produc143150363Tree_a tptp.product_prod_a_a)) % 0.44/0.95 (declare-const tptp.collec645855634od_a_a (-> (-> tptp.product_prod_a_a Bool) tptp.set_Product_prod_a_a)) % 0.44/0.95 (declare-const tptp.ord_le1748873858_a_a_o (-> (-> tptp.tree_a tptp.a Bool) (-> tptp.tree_a tptp.a Bool) Bool)) % 0.44/0.95 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 0.44/0.95 (declare-const tptp.bNF_Gr2005589581ee_a_a (-> tptp.set_Pr1070816379Tree_a (-> tptp.produc143150363Tree_a tptp.tree_a) (-> tptp.produc143150363Tree_a tptp.a) tptp.set_Pr921883667ee_a_a)) % 0.44/0.95 (declare-const tptp.produc126329485Tree_a (-> (-> tptp.tree_a tptp.a tptp.produc143150363Tree_a) tptp.produc981471411ee_a_a tptp.produc143150363Tree_a)) % 0.44/0.95 (declare-const tptp.member1092636252ee_a_a (-> tptp.produc981471411ee_a_a tptp.set_Pr921883667ee_a_a Bool)) % 0.44/0.95 (declare-const tptp.produc856872424Tree_a (-> (-> tptp.tree_a tptp.a) tptp.produc1689254567Tree_a tptp.produc981471411ee_a_a)) % 0.44/0.95 (declare-const tptp.comp_P1663859001ee_a_a (-> (-> tptp.produc143150363Tree_a tptp.tree_a) (-> tptp.produc981471411ee_a_a tptp.produc143150363Tree_a) tptp.produc981471411ee_a_a tptp.tree_a)) % 0.44/0.95 (declare-const tptp.produc493188987Tree_a (-> (-> tptp.a tptp.tree_a tptp.produc143150363Tree_a) tptp.produc143150363Tree_a tptp.produc143150363Tree_a)) % 0.44/0.95 (declare-const tptp.collec486369286Tree_a (-> (-> tptp.produc143150363Tree_a Bool) tptp.set_Pr1070816379Tree_a)) % 0.44/0.95 (declare-const tptp.in_tree_a (-> tptp.a tptp.tree_a Bool)) % 0.44/0.95 (declare-const tptp.produc1206152067Tree_a (-> tptp.produc1689254567Tree_a tptp.tree_a)) % 0.44/0.95 (declare-const tptp.set_mset_a (-> tptp.multiset_a tptp.set_a)) % 0.44/0.95 (declare-const tptp.t tptp.tree_a) % 0.44/0.95 (declare-const tptp.relcompp_a_Tree_a_a (-> (-> tptp.a tptp.tree_a Bool) (-> tptp.tree_a tptp.a Bool) tptp.a tptp.a Bool)) % 0.44/0.95 (declare-const tptp.heap_Tree_a_a (-> tptp.tree_a (-> tptp.tree_a Bool) (-> tptp.list_a tptp.tree_a) (-> tptp.tree_a tptp.multiset_a) (-> tptp.tree_a tptp.tree_a) (-> tptp.tree_a tptp.produc143150363Tree_a) Bool)) % 0.44/0.95 (declare-const tptp.ord_le1327026842ee_a_o (-> (-> tptp.a tptp.tree_a Bool) (-> tptp.a tptp.tree_a Bool) Bool)) % 0.44/0.95 (declare-const tptp.produc534868220Tree_a (-> (-> tptp.a tptp.tree_a tptp.tree_a) tptp.produc143150363Tree_a tptp.tree_a)) % 0.44/0.95 (declare-const tptp.v tptp.a) % 0.44/0.95 (declare-const tptp.ord_less_eq_a_o (-> (-> tptp.a Bool) (-> tptp.a Bool) Bool)) % 0.44/0.95 (declare-const tptp.produc1046262850Tree_a (-> (-> tptp.a tptp.tree_a) tptp.produc143150363Tree_a tptp.produc1689254567Tree_a)) % 0.44/0.95 (declare-const tptp.bNF_cs1095035134ee_a_a (-> tptp.set_Product_prod_a_a (-> tptp.produc143150363Tree_a tptp.tree_a) (-> tptp.produc981471411ee_a_a tptp.tree_a) (-> tptp.product_prod_a_a tptp.produc143150363Tree_a) (-> tptp.product_prod_a_a tptp.produc981471411ee_a_a) Bool)) % 0.44/0.95 (declare-const tptp.ord_le1601593986ee_a_o (-> (-> tptp.produc143150363Tree_a Bool) (-> tptp.produc143150363Tree_a Bool) Bool)) % 0.44/0.95 (declare-const tptp.produc1088820157ee_a_a (-> (-> tptp.a tptp.tree_a tptp.produc981471411ee_a_a) tptp.produc143150363Tree_a tptp.produc981471411ee_a_a)) % 0.44/0.95 (declare-const tptp.bNF_Gr651645592Tree_a (-> tptp.set_a (-> tptp.a tptp.a) (-> tptp.a tptp.tree_a) tptp.set_Pr1070816379Tree_a)) % 0.44/0.95 (declare-const tptp.produc1405823650ee_a_o (-> (-> tptp.a tptp.tree_a Bool) tptp.produc143150363Tree_a Bool)) % 0.44/0.95 (declare-const tptp.bNF_Gr2042500789Tree_a (-> tptp.set_Pr1070816379Tree_a (-> tptp.produc143150363Tree_a tptp.a) (-> tptp.produc143150363Tree_a tptp.tree_a) tptp.set_Pr1070816379Tree_a)) % 0.44/0.95 (declare-const tptp.collec1324690334ee_a_a (-> (-> tptp.produc981471411ee_a_a Bool) tptp.set_Pr921883667ee_a_a)) % 0.44/0.95 (declare-const tptp.bNF_Gr614734384ee_a_a (-> tptp.set_a (-> tptp.a tptp.tree_a) (-> tptp.a tptp.a) tptp.set_Pr921883667ee_a_a)) % 0.44/0.95 (declare-const tptp.order_Greatest_a (-> (-> tptp.a Bool) tptp.a)) % 0.44/0.95 (declare-const tptp.relcompp_a_a_Tree_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a tptp.tree_a Bool) tptp.a tptp.tree_a Bool)) % 0.44/0.95 (declare-const tptp.comp_P342079405Tree_a (-> (-> tptp.produc981471411ee_a_a tptp.a) (-> tptp.produc143150363Tree_a tptp.produc981471411ee_a_a) tptp.produc143150363Tree_a tptp.a)) % 0.44/0.95 (declare-const tptp.comp_P265462805Tree_a (-> (-> tptp.produc143150363Tree_a tptp.a) (-> tptp.produc143150363Tree_a tptp.produc143150363Tree_a) tptp.produc143150363Tree_a tptp.a)) % 0.44/0.95 (declare-const tptp.produc1902270_set_a (-> (-> tptp.a tptp.tree_a tptp.set_a) tptp.produc143150363Tree_a tptp.set_a)) % 0.44/0.95 (declare-const tptp.produc136688934_set_a (-> (-> tptp.tree_a tptp.a tptp.set_a) tptp.produc981471411ee_a_a tptp.set_a)) % 0.44/0.95 (declare-const tptp.produc951236931Tree_a (-> (-> tptp.tree_a tptp.a tptp.set_Pr1070816379Tree_a) tptp.produc981471411ee_a_a tptp.set_Pr1070816379Tree_a)) % 0.44/0.95 (declare-const tptp.comp_T1074491280ee_a_a (-> (-> tptp.tree_a tptp.tree_a) (-> tptp.produc981471411ee_a_a tptp.tree_a) tptp.produc981471411ee_a_a tptp.tree_a)) % 0.44/0.95 (declare-const tptp.produc433477818Tree_a (-> (-> tptp.tree_a tptp.a tptp.tree_a) tptp.produc981471411ee_a_a tptp.tree_a)) % 0.44/0.95 (declare-const tptp.heapIm970322378pify_a (-> tptp.tree_a tptp.tree_a)) % 0.44/0.95 (declare-const tptp.produc950721886ee_a_a (-> (-> tptp.a tptp.tree_a tptp.a) tptp.produc143150363Tree_a tptp.a)) % 0.44/0.95 (declare-const tptp.lattic146396397_Max_a (-> tptp.set_a tptp.a)) % 0.44/0.95 (define tptp.heapIm229596386mpty_a () (let ((_let_1 (@var "T" tptp.tree_a))) (lambda (@list _let_1) (= _let_1 tptp.e_a)))) % 0.44/0.95 (define tptp.produc1478296771ee_a_a () (let ((_let_1 (@var "P3" tptp.produc981471411ee_a_a))) (lambda (@list _let_1) (_ (_ tptp.produc686083979Tree_a (_ tptp.product_snd_Tree_a_a _let_1)) (_ tptp.product_fst_Tree_a_a _let_1))))) % 0.44/0.95 (define tptp.produc1515207979Tree_a () (let ((_let_1 (@var "P3" tptp.produc143150363Tree_a))) (lambda (@list _let_1) (_ (_ tptp.produc649172771ee_a_a (_ tptp.product_snd_a_Tree_a _let_1)) (_ tptp.product_fst_a_Tree_a _let_1))))) % 0.44/0.95 (define tptp.heapIm915766629_max_a () (let ((_let_1 (@var "T" tptp.tree_a))) (let ((_let_2 (_ tptp.heapIm837449470Leaf_a _let_1))) (let ((_let_3 (_ tptp.product_snd_a_Tree_a _let_2))) (let ((_let_4 (_ tptp.produc686083979Tree_a (_ tptp.val_a _let_1)))) (lambda (@list _let_1) (_ (_ (_ tptp.if_Pro1144176865Tree_a (= _let_3 tptp.e_a)) (_ _let_4 tptp.e_a)) (_ _let_4 (_ tptp.heapIm1091024090Down_a (_ (_ (_ tptp.t_a (_ tptp.product_fst_a_Tree_a _let_2)) (_ tptp.heapIm1140443833left_a _let_3)) (_ tptp.heapIm1257206334ight_a _let_3))))))))))) % 0.44/0.95 (define tptp.bNF_sn210385162ee_a_a () (let ((_let_1 (@var "Ac" tptp.produc981471411ee_a_a))) (let ((_let_2 (_ tptp.product_snd_Tree_a_a _let_1))) (let ((_let_3 (@var "Q3" (-> tptp.tree_a tptp.a Bool)))) (let ((_let_4 (@var "P4" (-> tptp.tree_a tptp.tree_a Bool)))) (lambda (@list _let_4 _let_3 _let_1) (_ (_ tptp.produc649172771ee_a_a (_ (_ (_ (_ tptp.bNF_pi1059296282ee_a_a _let_4) _let_3) (_ tptp.product_fst_Tree_a_a _let_1)) _let_2)) _let_2))))))) % 0.44/0.95 (define tptp.bNF_sndOp_a_a_Tree_a () (let ((_let_1 (@var "Ac" tptp.produc143150363Tree_a))) (let ((_let_2 (_ tptp.product_snd_a_Tree_a _let_1))) (let ((_let_3 (@var "Q3" (-> tptp.a tptp.tree_a Bool)))) (let ((_let_4 (@var "P4" (-> tptp.a tptp.a Bool)))) (lambda (@list _let_4 _let_3 _let_1) (_ (_ tptp.produc686083979Tree_a (_ (_ (_ (_ tptp.bNF_pi207687054Tree_a _let_4) _let_3) (_ tptp.product_fst_a_Tree_a _let_1)) _let_2)) _let_2))))))) % 0.44/0.95 (define tptp.bNF_fstOp_Tree_a_a_a () (let ((_let_1 (@var "Ac" tptp.produc981471411ee_a_a))) (let ((_let_2 (_ tptp.product_fst_Tree_a_a _let_1))) (let ((_let_3 (@var "Q3" (-> tptp.a tptp.a Bool)))) (let ((_let_4 (@var "P4" (-> tptp.tree_a tptp.a Bool)))) (lambda (@list _let_4 _let_3 _let_1) (_ (_ tptp.produc649172771ee_a_a _let_2) (_ (_ (_ (_ tptp.bNF_pi1407460238_a_a_a _let_4) _let_3) _let_2) (_ tptp.product_snd_Tree_a_a _let_1))))))))) % 0.44/0.95 (define tptp.bNF_fs1579355852Tree_a () (let ((_let_1 (@var "Ac" tptp.produc143150363Tree_a))) (let ((_let_2 (_ tptp.product_fst_a_Tree_a _let_1))) (let ((_let_3 (@var "Q3" (-> tptp.tree_a tptp.tree_a Bool)))) (let ((_let_4 (@var "P4" (-> tptp.a tptp.tree_a Bool)))) (lambda (@list _let_4 _let_3 _let_1) (_ (_ tptp.produc686083979Tree_a _let_2) (_ (_ (_ (_ tptp.bNF_pi1536086554Tree_a _let_4) _let_3) _let_2) (_ tptp.product_snd_a_Tree_a _let_1))))))))) % 0.44/0.95 (define tptp.ord_less_eq_set_a () (let ((_let_1 (@var "B6" tptp.set_a))) (let ((_let_2 (@var "X4" tptp.a))) (let ((_let_3 (_ tptp.member_a _let_2))) (let ((_let_4 (@var "A6" tptp.set_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.44/0.95 (define tptp.ord_le1013007387Tree_a () (let ((_let_1 (@var "B6" tptp.set_Pr1070816379Tree_a))) (let ((_let_2 (@var "X4" tptp.produc143150363Tree_a))) (let ((_let_3 (_ tptp.member254315204Tree_a _let_2))) (let ((_let_4 (@var "A6" tptp.set_Pr1070816379Tree_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.44/0.95 (define tptp.heap_axioms_Tree_a_a () (let ((_let_1 (@var "T" tptp.tree_a))) (let ((_let_2 (@var "As_tree2" (-> tptp.tree_a tptp.tree_a)))) (let ((_let_3 (_ _let_2 _let_1))) (let ((_let_4 (@var "M2" tptp.a))) (let ((_let_5 (@var "Remove_max2" (-> tptp.tree_a tptp.produc143150363Tree_a)))) (let ((_let_6 (@var "T4" tptp.tree_a))) (let ((_let_7 (_ tptp.produc686083979Tree_a _let_4))) (let ((_let_8 (@var "Is_empty2" (-> tptp.tree_a Bool)))) (let ((_let_9 (_ _let_8 _let_1))) (let ((_let_10 (@var "L5" tptp.tree_a))) (let ((_let_11 (@var "L4" tptp.tree_a))) (let ((_let_12 (= (_ _let_7 _let_10) (_ _let_5 _let_11)))) (let ((_let_13 (_ _let_2 _let_11))) (let ((_let_14 (not (_ _let_8 _let_11)))) (let ((_let_15 (@list _let_11 _let_4 _let_10))) (let ((_let_16 (@var "Multiset2" (-> tptp.tree_a tptp.multiset_a)))) (let ((_let_17 (_ _let_16 _let_11))) (let ((_let_18 (@var "I" tptp.list_a))) (let ((_let_19 (@var "Of_list2" (-> tptp.list_a tptp.tree_a)))) (lambda (@list _let_8 _let_19 _let_16 _let_2 _let_5) (and (forall (@list _let_11) (= _let_17 (_ tptp.multiset_a2 _let_13))) (forall (@list _let_18) (_ tptp.is_heap_a (_ _let_2 (_ _let_19 _let_18)))) (forall (@list _let_1) (= (= _let_3 tptp.e_a) _let_9)) (forall _let_15 (=> _let_14 (=> _let_12 (= (_ (_ tptp.add_mset_a _let_4) (_ _let_16 _let_10)) _let_17)))) (forall _let_15 (=> _let_14 (=> (_ tptp.is_heap_a _let_13) (=> _let_12 (_ tptp.is_heap_a (_ _let_2 _let_10)))))) (forall (@list _let_1 _let_4 _let_6) (=> (not _let_9) (=> (= (_ _let_7 _let_6) (_ _let_5 _let_1)) (= _let_4 (_ tptp.val_a _let_3))))))))))))))))))))))))))) % 0.44/0.95 (define tptp.produc1673233912ee_a_o () (let ((_let_1 (@var "Prod3" tptp.produc143150363Tree_a))) (let ((_let_2 (@var "F2" (-> tptp.a tptp.tree_a Bool)))) (lambda (@list _let_2 _let_1) (_ (_ _let_2 (_ tptp.product_fst_a_Tree_a _let_1)) (_ tptp.product_snd_a_Tree_a _let_1)))))) % 0.44/0.95 (define tptp.produc873356882Tree_a () (let ((_let_1 (@var "Prod3" tptp.produc143150363Tree_a))) (let ((_let_2 (@var "F2" (-> tptp.a tptp.tree_a tptp.tree_a)))) (lambda (@list _let_2 _let_1) (_ (_ _let_2 (_ tptp.product_fst_a_Tree_a _let_1)) (_ tptp.product_snd_a_Tree_a _let_1)))))) % 0.44/0.95 (define tptp.produc369019363Tree_a () (let ((_let_1 (@var "Prod3" tptp.produc981471411ee_a_a))) (let ((_let_2 (@var "F2" (-> tptp.tree_a tptp.a tptp.produc143150363Tree_a)))) (lambda (@list _let_2 _let_1) (_ (_ _let_2 (_ tptp.product_fst_Tree_a_a _let_1)) (_ tptp.product_snd_Tree_a_a _let_1)))))) % 0.44/0.95 (define tptp.produc1331510035ee_a_a () (let ((_let_1 (@var "Prod3" tptp.produc143150363Tree_a))) (let ((_let_2 (@var "F2" (-> tptp.a tptp.tree_a tptp.produc981471411ee_a_a)))) (lambda (@list _let_2 _let_1) (_ (_ _let_2 (_ tptp.product_fst_a_Tree_a _let_1)) (_ tptp.product_snd_a_Tree_a _let_1)))))) % 0.44/0.95 (define @t1 () (_ (_ (_ tptp.t_a tptp.v) tptp.e_a) tptp.e_a)) % 0.44/0.95 (define @t2 () (@var "Vf" tptp.tree_a)) % 0.44/0.95 (define @t3 () (@var "Ve" tptp.tree_a)) % 0.44/0.95 (define @t4 () (@var "Vd" tptp.a)) % 0.44/0.95 (define @t5 () (_ (_ (_ tptp.t_a @t4) @t3) @t2)) % 0.44/0.95 (define @t6 () (@var "Vc" tptp.tree_a)) % 0.44/0.95 (define @t7 () (@var "Vb" tptp.tree_a)) % 0.44/0.95 (define @t8 () (@var "Va" tptp.a)) % 0.44/0.95 (define @t9 () (_ (_ (_ tptp.t_a @t8) @t7) @t6)) % 0.44/0.95 (define @t10 () (@var "V" tptp.a)) % 0.44/0.95 (define @t11 () (_ tptp.t_a @t10)) % 0.44/0.95 (define @t12 () (_ @t11 @t9)) % 0.44/0.95 (define @t13 () (_ @t12 @t5)) % 0.44/0.95 (define @t14 () (@var "X" tptp.tree_a)) % 0.44/0.95 (define @t15 () (@list @t10 @t8 @t7 @t6 @t4 @t3 @t2)) % 0.44/0.95 (define @t16 () (forall @t15 (not (= @t14 @t13)))) % 0.44/0.95 (define @t17 () (not @t16)) % 0.44/0.95 (define @t18 () (_ @t11 tptp.e_a)) % 0.44/0.95 (define @t19 () (_ @t18 @t9)) % 0.44/0.95 (define @t20 () (@list @t10 @t8 @t7 @t6)) % 0.44/0.95 (define @t21 () (forall @t20 (not (= @t14 @t19)))) % 0.44/0.95 (define @t22 () (_ @t12 tptp.e_a)) % 0.44/0.95 (define @t23 () (forall @t20 (not (= @t14 @t22)))) % 0.44/0.95 (define @t24 () (_ @t18 tptp.e_a)) % 0.44/0.95 (define @t25 () (@list @t10)) % 0.44/0.95 (define @t26 () (forall @t25 (not (= @t14 @t24)))) % 0.44/0.95 (define @t27 () (= @t14 tptp.e_a)) % 0.44/0.95 (define @t28 () (not @t27)) % 0.44/0.95 (define @t29 () (@list @t14)) % 0.44/0.95 (define @t30 () (_ (_ @t11 @t5) @t9)) % 0.44/0.95 (define @t31 () (@list @t10 @t4 @t3 @t2 @t8 @t7 @t6)) % 0.44/0.95 (define @t32 () (@var "A0" tptp.tree_a)) % 0.44/0.95 (define @t33 () (@var "P" (-> tptp.tree_a Bool))) % 0.44/0.95 (define @t34 () (_ @t33 tptp.e_a)) % 0.44/0.95 (define @t35 () (_ @t33 @t5)) % 0.44/0.95 (define @t36 () (_ @t33 @t9)) % 0.44/0.95 (define @t37 () (@var "V2" tptp.a)) % 0.44/0.95 (define @t38 () (_ tptp.t_a @t37)) % 0.44/0.95 (define @t39 () (_ @t38 tptp.e_a)) % 0.44/0.95 (define @t40 () (_ @t39 tptp.e_a)) % 0.44/0.95 (define @t41 () (@list @t37)) % 0.44/0.95 (define @t42 () (@var "Y23" tptp.tree_a)) % 0.44/0.95 (define @t43 () (@var "X23" tptp.tree_a)) % 0.44/0.95 (define @t44 () (@var "Y22" tptp.tree_a)) % 0.44/0.95 (define @t45 () (@var "X22" tptp.tree_a)) % 0.44/0.95 (define @t46 () (@var "Y21" tptp.a)) % 0.44/0.95 (define @t47 () (@var "X21" tptp.a)) % 0.44/0.95 (define @t48 () (_ (_ (_ tptp.t_a @t47) @t45) @t43)) % 0.44/0.95 (define @t49 () (_ tptp.is_heap_a tptp.e_a)) % 0.44/0.95 (define @t50 () (@var "Tree" tptp.tree_a)) % 0.44/0.95 (define @t51 () (@var "X3" tptp.tree_a)) % 0.44/0.95 (define @t52 () (@var "X2" tptp.tree_a)) % 0.44/0.95 (define @t53 () (@var "X1" tptp.a)) % 0.44/0.95 (define @t54 () (@var "X232" tptp.tree_a)) % 0.44/0.95 (define @t55 () (@var "X222" tptp.tree_a)) % 0.44/0.95 (define @t56 () (@var "X212" tptp.a)) % 0.44/0.95 (define @t57 () (@var "Y" tptp.tree_a)) % 0.44/0.95 (define @t58 () (@var "T2" tptp.tree_a)) % 0.44/0.95 (define @t59 () (_ tptp.product_snd_a_Tree_a (_ tptp.heapIm837449470Leaf_a @t58))) % 0.44/0.95 (define @t60 () (_ tptp.val_a @t58)) % 0.44/0.95 (define @t61 () (not (= @t58 tptp.e_a))) % 0.44/0.95 (define @t62 () (@list @t58)) % 0.44/0.95 (define @t63 () (_ (_ tptp.produc686083979Tree_a @t37) tptp.e_a)) % 0.44/0.95 (define @t64 () (_ tptp.heapIm837449470Leaf_a @t40)) % 0.44/0.95 (define @t65 () (= @t64 @t63)) % 0.44/0.95 (define @t66 () (forall @t41 @t65)) % 0.44/0.95 (define @t67 () (_ tptp.heapIm1091024090Down_a @t58)) % 0.44/0.95 (define @t68 () (@var "R" tptp.tree_a)) % 0.44/0.95 (define @t69 () (@var "L" tptp.tree_a)) % 0.44/0.95 (define @t70 () (_ (_ @t38 @t69) @t68)) % 0.44/0.95 (define @t71 () (= @t58 @t70)) % 0.44/0.95 (define @t72 () (@var "Uv" tptp.tree_a)) % 0.44/0.95 (define @t73 () (@var "Uu" tptp.tree_a)) % 0.44/0.95 (define @t74 () (@var "Y2" tptp.tree_a)) % 0.44/0.95 (define @t75 () (@var "X24" tptp.tree_a)) % 0.44/0.95 (define @t76 () (@var "Y1" tptp.a)) % 0.44/0.95 (define @t77 () (@var "X12" tptp.a)) % 0.44/0.95 (define @t78 () (and (= @t77 @t76) (= @t75 @t74))) % 0.44/0.95 (define @t79 () (_ (_ tptp.produc686083979Tree_a @t76) @t74)) % 0.44/0.95 (define @t80 () (_ (_ tptp.produc686083979Tree_a @t77) @t75)) % 0.44/0.95 (define @t81 () (= @t80 @t79)) % 0.44/0.95 (define @t82 () (= @t81 @t78)) % 0.44/0.95 (define @t83 () (@list @t77 @t75 @t76 @t74)) % 0.44/0.95 (define @t84 () (forall @t83 @t82)) % 0.44/0.95 (define @t85 () (@var "Y2" tptp.a)) % 0.44/0.95 (define @t86 () (@var "X24" tptp.a)) % 0.44/0.95 (define @t87 () (@var "Y1" tptp.tree_a)) % 0.44/0.95 (define @t88 () (@var "X12" tptp.tree_a)) % 0.44/0.95 (define @t89 () (_ (_ tptp.produc649172771ee_a_a @t88) @t86)) % 0.44/0.95 (define @t90 () (@var "B2" tptp.tree_a)) % 0.44/0.95 (define @t91 () (@var "B" tptp.tree_a)) % 0.44/0.95 (define @t92 () (= @t91 @t90)) % 0.44/0.95 (define @t93 () (@var "A2" tptp.a)) % 0.44/0.95 (define @t94 () (@var "A" tptp.a)) % 0.44/0.95 (define @t95 () (= @t94 @t93)) % 0.44/0.95 (define @t96 () (_ tptp.produc686083979Tree_a @t94)) % 0.44/0.95 (define @t97 () (_ @t96 @t91)) % 0.44/0.95 (define @t98 () (= @t97 (_ (_ tptp.produc686083979Tree_a @t93) @t90))) % 0.44/0.95 (define @t99 () (@list @t94 @t91 @t93 @t90)) % 0.44/0.95 (define @t100 () (@var "B2" tptp.a)) % 0.44/0.95 (define @t101 () (@var "B" tptp.a)) % 0.44/0.95 (define @t102 () (= @t101 @t100)) % 0.44/0.95 (define @t103 () (@var "A2" tptp.tree_a)) % 0.44/0.95 (define @t104 () (@var "A" tptp.tree_a)) % 0.44/0.95 (define @t105 () (= @t104 @t103)) % 0.44/0.95 (define @t106 () (_ tptp.produc649172771ee_a_a @t104)) % 0.44/0.95 (define @t107 () (_ @t106 @t101)) % 0.44/0.95 (define @t108 () (= @t107 (_ (_ tptp.produc649172771ee_a_a @t103) @t100))) % 0.44/0.95 (define @t109 () (@list @t104 @t101 @t103 @t100)) % 0.44/0.95 (define @t110 () (@var "A3" tptp.tree_a)) % 0.44/0.95 (define @t111 () (@var "P2" tptp.produc981471411ee_a_a)) % 0.44/0.95 (define @t112 () (_ tptp.product_snd_Tree_a_a @t111)) % 0.44/0.95 (define @t113 () (@var "A3" tptp.a)) % 0.44/0.95 (define @t114 () (@var "P2" tptp.produc143150363Tree_a)) % 0.44/0.95 (define @t115 () (_ tptp.product_snd_a_Tree_a @t114)) % 0.44/0.95 (define @t116 () (@list @t88 @t86)) % 0.44/0.95 (define @t117 () (@list @t77 @t75)) % 0.44/0.95 (define @t118 () (@var "Y" tptp.a)) % 0.44/0.95 (define @t119 () (_ tptp.produc649172771ee_a_a @t14)) % 0.44/0.95 (define @t120 () (_ @t119 @t118)) % 0.44/0.95 (define @t121 () (_ tptp.product_snd_Tree_a_a @t120)) % 0.44/0.95 (define @t122 () (@var "X" tptp.a)) % 0.44/0.95 (define @t123 () (_ tptp.produc686083979Tree_a @t122)) % 0.44/0.95 (define @t124 () (_ @t123 @t57)) % 0.44/0.95 (define @t125 () (_ tptp.product_snd_a_Tree_a @t124)) % 0.44/0.95 (define @t126 () (@var "Z" tptp.a)) % 0.44/0.95 (define @t127 () (@var "X" tptp.produc981471411ee_a_a)) % 0.44/0.95 (define @t128 () (_ tptp.product_snd_Tree_a_a @t127)) % 0.44/0.95 (define @t129 () (_ tptp.produc649172771ee_a_a @t57)) % 0.44/0.95 (define @t130 () (= @t127 (_ @t129 @t126))) % 0.44/0.95 (define @t131 () (@list @t127 @t57 @t126)) % 0.44/0.95 (define @t132 () (@var "Z" tptp.tree_a)) % 0.44/0.95 (define @t133 () (@var "X" tptp.produc143150363Tree_a)) % 0.44/0.95 (define @t134 () (_ tptp.product_snd_a_Tree_a @t133)) % 0.44/0.95 (define @t135 () (_ tptp.produc686083979Tree_a @t118)) % 0.44/0.95 (define @t136 () (= @t133 (_ @t135 @t132))) % 0.44/0.95 (define @t137 () (@list @t133 @t118 @t132)) % 0.44/0.95 (define @t138 () (@var "Vc2" tptp.tree_a)) % 0.44/0.95 (define @t139 () (@var "Vb2" tptp.tree_a)) % 0.44/0.95 (define @t140 () (@var "Va2" tptp.a)) % 0.44/0.95 (define @t141 () (_ (_ (_ tptp.t_a @t140) @t139) @t138)) % 0.44/0.95 (define @t142 () (_ tptp.heapIm837449470Leaf_a @t141)) % 0.44/0.95 (define @t143 () (_ tptp.product_snd_a_Tree_a @t142)) % 0.44/0.95 (define @t144 () (_ @t38 @t143)) % 0.44/0.95 (define @t145 () (_ tptp.produc686083979Tree_a (_ tptp.product_fst_a_Tree_a @t142))) % 0.44/0.95 (define @t146 () (_ @t38 @t141)) % 0.44/0.95 (define @t147 () (_ @t146 tptp.e_a)) % 0.44/0.95 (define @t148 () (@list @t37 @t140 @t139 @t138)) % 0.44/0.95 (define @t149 () (_ @t39 @t141)) % 0.44/0.95 (define @t150 () (@var "Vf2" tptp.tree_a)) % 0.44/0.95 (define @t151 () (@var "Ve2" tptp.tree_a)) % 0.44/0.95 (define @t152 () (@var "Vd2" tptp.a)) % 0.44/0.95 (define @t153 () (_ (_ (_ tptp.t_a @t152) @t151) @t150)) % 0.44/0.95 (define @t154 () (_ @t146 @t153)) % 0.44/0.95 (define @t155 () (@list @t37 @t140 @t139 @t138 @t152 @t151 @t150)) % 0.44/0.95 (define @t156 () (@var "Prod" tptp.produc981471411ee_a_a)) % 0.44/0.95 (define @t157 () (_ tptp.product_snd_Tree_a_a @t156)) % 0.44/0.95 (define @t158 () (_ tptp.product_fst_Tree_a_a @t156)) % 0.44/0.95 (define @t159 () (_ (_ tptp.produc649172771ee_a_a @t158) @t157)) % 0.44/0.95 (define @t160 () (@list @t156)) % 0.44/0.95 (define @t161 () (@var "Prod" tptp.produc143150363Tree_a)) % 0.44/0.95 (define @t162 () (_ tptp.product_snd_a_Tree_a @t161)) % 0.44/0.95 (define @t163 () (_ tptp.product_fst_a_Tree_a @t161)) % 0.44/0.95 (define @t164 () (_ (_ tptp.produc686083979Tree_a @t163) @t162)) % 0.44/0.95 (define @t165 () (@list @t161)) % 0.44/0.95 (define @t166 () (forall @t165 (= @t164 @t161))) % 0.44/0.95 (define @t167 () (@var "B3" tptp.tree_a)) % 0.44/0.95 (define @t168 () (_ tptp.product_fst_a_Tree_a @t114)) % 0.44/0.95 (define @t169 () (@var "B3" tptp.a)) % 0.44/0.95 (define @t170 () (_ tptp.product_fst_Tree_a_a @t111)) % 0.44/0.95 (define @t171 () (_ tptp.product_fst_a_Tree_a @t124)) % 0.44/0.95 (define @t172 () (_ tptp.product_fst_Tree_a_a @t120)) % 0.44/0.95 (define @t173 () (_ tptp.product_fst_a_Tree_a @t133)) % 0.44/0.95 (define @t174 () (_ tptp.product_fst_Tree_a_a @t127)) % 0.44/0.95 (define @t175 () (@var "Q" tptp.produc981471411ee_a_a)) % 0.44/0.95 (define @t176 () (= @t111 @t175)) % 0.44/0.95 (define @t177 () (@var "Q" tptp.produc143150363Tree_a)) % 0.44/0.95 (define @t178 () (= @t114 @t177)) % 0.44/0.95 (define @t179 () (@var "Prod2" tptp.produc981471411ee_a_a)) % 0.44/0.95 (define @t180 () (@var "Prod2" tptp.produc143150363Tree_a)) % 0.44/0.95 (define @t181 () (@var "T" tptp.produc981471411ee_a_a)) % 0.44/0.95 (define @t182 () (@var "S" tptp.produc981471411ee_a_a)) % 0.44/0.95 (define @t183 () (@var "Z2" tptp.produc981471411ee_a_a)) % 0.44/0.95 (define @t184 () (@var "Y3" tptp.produc981471411ee_a_a)) % 0.44/0.95 (define @t185 () (@var "T" tptp.produc143150363Tree_a)) % 0.44/0.95 (define @t186 () (@var "S" tptp.produc143150363Tree_a)) % 0.44/0.95 (define @t187 () (@var "Z2" tptp.produc143150363Tree_a)) % 0.44/0.95 (define @t188 () (@var "Y3" tptp.produc143150363Tree_a)) % 0.44/0.95 (define @t189 () (@var "T2" tptp.produc981471411ee_a_a)) % 0.44/0.95 (define @t190 () (@var "T2" tptp.produc143150363Tree_a)) % 0.44/0.95 (define @t191 () (= @t156 @t159)) % 0.44/0.95 (define @t192 () (= @t161 @t164)) % 0.44/0.95 (define @t193 () (forall @t165 @t192)) % 0.44/0.95 (define @t194 () (_ tptp.in_tree_a @t37)) % 0.44/0.95 (define @t195 () (@var "V3" tptp.a)) % 0.44/0.95 (define @t196 () (@var "T" tptp.tree_a)) % 0.44/0.95 (define @t197 () (@var "V4" tptp.a)) % 0.44/0.95 (define @t198 () (@var "P" (-> tptp.produc143150363Tree_a Bool))) % 0.44/0.95 (define @t199 () (@var "B4" tptp.tree_a)) % 0.44/0.95 (define @t200 () (@var "A4" tptp.a)) % 0.44/0.95 (define @t201 () (_ (_ tptp.produc686083979Tree_a @t200) @t199)) % 0.44/0.95 (define @t202 () (@list @t200 @t199)) % 0.44/0.95 (define @t203 () (forall @t202 (_ @t198 @t201))) % 0.44/0.95 (define @t204 () (@var "P" (-> tptp.produc981471411ee_a_a Bool))) % 0.44/0.95 (define @t205 () (@var "B4" tptp.a)) % 0.44/0.95 (define @t206 () (@var "A4" tptp.tree_a)) % 0.44/0.95 (define @t207 () (_ (_ tptp.produc649172771ee_a_a @t206) @t205)) % 0.44/0.95 (define @t208 () (@list @t206 @t205)) % 0.44/0.95 (define @t209 () (forall @t208 (_ @t204 @t207))) % 0.44/0.95 (define @t210 () (@var "P" (-> tptp.a Bool))) % 0.44/0.95 (define @t211 () (_ tptp.member_a @t94)) % 0.44/0.95 (define @t212 () (@var "A" tptp.produc143150363Tree_a)) % 0.44/0.95 (define @t213 () (_ tptp.collec486369286Tree_a @t198)) % 0.44/0.95 (define @t214 () (@var "A5" tptp.set_a)) % 0.44/0.95 (define @t215 () (@var "X4" tptp.a)) % 0.44/0.95 (define @t216 () (_ tptp.member_a @t215)) % 0.44/0.95 (define @t217 () (_ @t216 @t214)) % 0.44/0.95 (define @t218 () (@list @t215)) % 0.44/0.95 (define @t219 () (@var "A5" tptp.set_Pr1070816379Tree_a)) % 0.44/0.95 (define @t220 () (@var "X4" tptp.produc143150363Tree_a)) % 0.44/0.95 (define @t221 () (_ tptp.member254315204Tree_a @t220)) % 0.44/0.95 (define @t222 () (_ @t221 @t219)) % 0.44/0.95 (define @t223 () (@list @t220)) % 0.44/0.95 (define @t224 () (@var "Q2" (-> tptp.produc143150363Tree_a Bool))) % 0.44/0.95 (define @t225 () (_ tptp.collec486369286Tree_a @t224)) % 0.44/0.95 (define @t226 () (@var "X5" tptp.produc143150363Tree_a)) % 0.44/0.95 (define @t227 () (_ @t224 @t226)) % 0.44/0.95 (define @t228 () (_ @t198 @t226)) % 0.44/0.95 (define @t229 () (@list @t226)) % 0.44/0.95 (define @t230 () (@list @t198 @t224)) % 0.44/0.95 (define @t231 () (@var "Y" tptp.produc143150363Tree_a)) % 0.44/0.95 (define @t232 () (@var "Y" tptp.produc981471411ee_a_a)) % 0.44/0.95 (define @t233 () (@var "Y4" tptp.tree_a)) % 0.44/0.95 (define @t234 () (@var "X5" tptp.a)) % 0.44/0.95 (define @t235 () (_ (_ tptp.produc686083979Tree_a @t234) @t233)) % 0.44/0.95 (define @t236 () (= @t114 @t235)) % 0.44/0.95 (define @t237 () (@list @t234 @t233)) % 0.44/0.95 (define @t238 () (@list @t114)) % 0.44/0.95 (define @t239 () (@var "Y4" tptp.a)) % 0.44/0.95 (define @t240 () (@var "X5" tptp.tree_a)) % 0.44/0.95 (define @t241 () (_ (_ tptp.produc649172771ee_a_a @t240) @t239)) % 0.44/0.95 (define @t242 () (= @t111 @t241)) % 0.44/0.95 (define @t243 () (@list @t240 @t239)) % 0.44/0.95 (define @t244 () (@list @t111)) % 0.44/0.95 (define @t245 () (_ tptp.heapIm837449470Leaf_a @t153)) % 0.44/0.95 (define @t246 () (_ (_ @t38 @t153) @t141)) % 0.44/0.95 (define @t247 () (@list @t37 @t152 @t151 @t150 @t140 @t139 @t138)) % 0.44/0.95 (define @t248 () (@var "A" tptp.produc981471411ee_a_a)) % 0.44/0.95 (define @t249 () (@var "P" (-> tptp.tree_a tptp.a Bool))) % 0.44/0.95 (define @t250 () (@var "P" (-> tptp.a tptp.tree_a Bool))) % 0.44/0.95 (define @t251 () (@var "Q" tptp.a)) % 0.44/0.95 (define @t252 () (@var "P2" tptp.tree_a)) % 0.44/0.95 (define @t253 () (_ (_ tptp.produc649172771ee_a_a @t252) @t251)) % 0.44/0.95 (define @t254 () (@var "Q2" (-> tptp.a Bool))) % 0.44/0.95 (define @t255 () (@var "Q" tptp.tree_a)) % 0.44/0.95 (define @t256 () (@var "P2" tptp.a)) % 0.44/0.95 (define @t257 () (_ (_ tptp.produc686083979Tree_a @t256) @t255)) % 0.44/0.95 (define @t258 () (@var "Q2" (-> tptp.tree_a Bool))) % 0.44/0.95 (define @t259 () (_ (_ @t250 @t239) @t240)) % 0.44/0.95 (define @t260 () (_ (_ @t250 @t112) @t170)) % 0.44/0.95 (define @t261 () (_ (_ @t249 @t233) @t234)) % 0.44/0.95 (define @t262 () (_ (_ @t249 @t115) @t168)) % 0.44/0.95 (define @t263 () (@list @t37 @t69 @t68)) % 0.44/0.95 (define @t264 () (_ tptp.is_heap_a @t141)) % 0.44/0.95 (define @t265 () (_ tptp.val_a @t141)) % 0.44/0.95 (define @t266 () (_ tptp.ord_less_eq_a @t265)) % 0.44/0.95 (define @t267 () (_ @t266 @t37)) % 0.44/0.95 (define @t268 () (and @t267 @t264)) % 0.44/0.95 (define @t269 () (_ tptp.produc1478296771ee_a_a @t111)) % 0.44/0.95 (define @t270 () (_ tptp.produc1515207979Tree_a @t114)) % 0.44/0.95 (define @t271 () (_ tptp.produc1478296771ee_a_a @t127)) % 0.44/0.95 (define @t272 () (@list @t127)) % 0.44/0.95 (define @t273 () (_ tptp.produc1515207979Tree_a @t133)) % 0.44/0.95 (define @t274 () (@list @t133)) % 0.44/0.95 (define @t275 () (@var "V5" tptp.a)) % 0.44/0.95 (define @t276 () (_ tptp.ord_less_eq_a @t37)) % 0.44/0.95 (define @t277 () (@var "R2" tptp.tree_a)) % 0.44/0.95 (define @t278 () (@var "L2" tptp.tree_a)) % 0.44/0.95 (define @t279 () (_ tptp.heapIm970322378pify_a @t58)) % 0.44/0.95 (define @t280 () (_ tptp.is_heap_a @t153)) % 0.44/0.95 (define @t281 () (_ tptp.val_a @t153)) % 0.44/0.95 (define @t282 () (_ tptp.ord_less_eq_a @t281)) % 0.44/0.95 (define @t283 () (_ @t282 @t37)) % 0.44/0.95 (define @t284 () (_ tptp.is_heap_a @t58)) % 0.44/0.95 (define @t285 () (_ tptp.ord_less_eq_a @t122)) % 0.44/0.95 (define @t286 () (_ tptp.heapIm1091024090Down_a (_ (_ @t38 (_ tptp.heapIm1140443833left_a @t141)) (_ tptp.heapIm1257206334ight_a @t141)))) % 0.44/0.95 (define @t287 () (_ tptp.t_a @t265)) % 0.44/0.95 (define @t288 () (_ @t287 @t286)) % 0.44/0.95 (define @t289 () (_ tptp.heapIm1091024090Down_a @t147)) % 0.44/0.95 (define @t290 () (not @t267)) % 0.44/0.95 (define @t291 () (@list @t140 @t139 @t138 @t37)) % 0.44/0.95 (define @t292 () (_ tptp.heapIm1091024090Down_a @t149)) % 0.44/0.95 (define @t293 () (_ tptp.heapIm1091024090Down_a @t246)) % 0.44/0.95 (define @t294 () (= @t293 @t246)) % 0.44/0.95 (define @t295 () (_ @t266 @t281)) % 0.44/0.95 (define @t296 () (_ tptp.heapIm1091024090Down_a (_ (_ @t38 (_ tptp.heapIm1140443833left_a @t153)) (_ tptp.heapIm1257206334ight_a @t153)))) % 0.44/0.95 (define @t297 () (_ tptp.t_a @t281)) % 0.44/0.95 (define @t298 () (not @t283)) % 0.44/0.95 (define @t299 () (_ tptp.heapIm1091024090Down_a @t154)) % 0.44/0.95 (define @t300 () (= @t299 @t154)) % 0.44/0.95 (define @t301 () (_ @t282 @t265)) % 0.44/0.95 (define @t302 () (= @t94 @t101)) % 0.44/0.95 (define @t303 () (_ tptp.ord_less_eq_a @t94)) % 0.44/0.95 (define @t304 () (_ @t303 @t101)) % 0.44/0.95 (define @t305 () (_ tptp.ord_less_eq_a @t101)) % 0.44/0.95 (define @t306 () (_ @t305 @t94)) % 0.44/0.95 (define @t307 () (_ (_ tptp.ord_less_eq_a @t113) @t169)) % 0.44/0.95 (define @t308 () (_ (_ tptp.ord_less_eq_a @t169) @t113)) % 0.44/0.95 (define @t309 () (@list @t113 @t169)) % 0.44/0.95 (define @t310 () (@var "Z2" tptp.a)) % 0.44/0.95 (define @t311 () (@var "Y3" tptp.a)) % 0.44/0.95 (define @t312 () (lambda (@list @t311 @t310) (= @t311 @t310))) % 0.44/0.95 (define @t313 () (@var "C" tptp.a)) % 0.44/0.95 (define @t314 () (_ tptp.ord_less_eq_a @t313)) % 0.44/0.95 (define @t315 () (@var "P" (-> tptp.a tptp.a Bool))) % 0.44/0.95 (define @t316 () (_ (_ @t315 @t200) @t205)) % 0.44/0.95 (define @t317 () (@list @t200 @t205)) % 0.44/0.95 (define @t318 () (_ @t285 @t126)) % 0.44/0.95 (define @t319 () (_ tptp.ord_less_eq_a @t118)) % 0.44/0.95 (define @t320 () (_ @t319 @t126)) % 0.44/0.95 (define @t321 () (_ @t285 @t118)) % 0.44/0.95 (define @t322 () (@list @t122 @t118 @t126)) % 0.44/0.95 (define @t323 () (_ @t303 @t313)) % 0.44/0.95 (define @t324 () (@list @t94 @t101 @t313)) % 0.44/0.95 (define @t325 () (_ @t305 @t313)) % 0.44/0.95 (define @t326 () (=> @t325 @t323)) % 0.44/0.95 (define @t327 () (= @t122 @t118)) % 0.44/0.95 (define @t328 () (_ @t319 @t122)) % 0.44/0.95 (define @t329 () (not @t321)) % 0.44/0.95 (define @t330 () (_ tptp.ord_less_eq_a @t126)) % 0.44/0.95 (define @t331 () (_ @t330 @t122)) % 0.44/0.95 (define @t332 () (_ @t330 @t118)) % 0.44/0.95 (define @t333 () (@list @t122 @t118)) % 0.44/0.95 (define @t334 () (@var "Y5" tptp.a)) % 0.44/0.95 (define @t335 () (@var "F" (-> tptp.a tptp.a))) % 0.44/0.95 (define @t336 () (forall (@list @t234 @t239) (=> (_ (_ tptp.ord_less_eq_a @t234) @t239) (_ (_ tptp.ord_less_eq_a (_ @t335 @t234)) (_ @t335 @t239))))) % 0.44/0.95 (define @t337 () (=> @t336 (_ (_ tptp.ord_less_eq_a (_ @t335 @t94)) @t313))) % 0.44/0.95 (define @t338 () (_ @t335 @t101)) % 0.44/0.95 (define @t339 () (@list @t94 @t101 @t335 @t313)) % 0.44/0.95 (define @t340 () (=> @t325 (=> @t336 (_ @t303 (_ @t335 @t313))))) % 0.44/0.95 (define @t341 () (@list @t94 @t335 @t101 @t313)) % 0.44/0.95 (define @t342 () (@var "L3" tptp.tree_a)) % 0.44/0.95 (define @t343 () (@var "As_tree" (-> tptp.tree_a tptp.tree_a))) % 0.44/0.95 (define @t344 () (@var "Remove_max" (-> tptp.tree_a tptp.produc143150363Tree_a))) % 0.44/0.95 (define @t345 () (@var "M" tptp.a)) % 0.44/0.95 (define @t346 () (_ tptp.produc686083979Tree_a @t345)) % 0.44/0.95 (define @t347 () (= (_ @t346 @t342) (_ @t344 @t69))) % 0.44/0.95 (define @t348 () (@var "Is_empty" (-> tptp.tree_a Bool))) % 0.44/0.95 (define @t349 () (not (_ @t348 @t69))) % 0.44/0.95 (define @t350 () (@var "Multiset" (-> tptp.tree_a tptp.multiset_a))) % 0.44/0.95 (define @t351 () (@var "Of_list" (-> tptp.list_a tptp.tree_a))) % 0.44/0.95 (define @t352 () (@var "Empty" tptp.tree_a)) % 0.44/0.95 (define @t353 () (_ (_ (_ (_ (_ (_ tptp.heap_Tree_a_a @t352) @t348) @t351) @t350) @t343) @t344)) % 0.44/0.95 (define @t354 () (@list @t352 @t348 @t351 @t350 @t343 @t344 @t69 @t345 @t342)) % 0.44/0.95 (define @t355 () (@var "T3" tptp.tree_a)) % 0.44/0.95 (define @t356 () (@var "S2" tptp.set_Pr1070816379Tree_a)) % 0.44/0.95 (define @t357 () (@var "R3" tptp.set_Pr1070816379Tree_a)) % 0.44/0.95 (define @t358 () (_ (_ tptp.ord_le1013007387Tree_a @t357) @t356)) % 0.44/0.95 (define @t359 () (@var "Y5" tptp.tree_a)) % 0.44/0.95 (define @t360 () (_ (_ tptp.produc686083979Tree_a @t215) @t359)) % 0.44/0.95 (define @t361 () (_ tptp.member254315204Tree_a @t360)) % 0.44/0.95 (define @t362 () (@list @t215 @t359)) % 0.44/0.95 (define @t363 () (lambda @t362 (_ @t361 @t356))) % 0.44/0.95 (define @t364 () (lambda @t362 (_ @t361 @t357))) % 0.44/0.95 (define @t365 () (@list @t357 @t356)) % 0.44/0.95 (define @t366 () (@var "S2" tptp.set_Pr921883667ee_a_a)) % 0.44/0.95 (define @t367 () (@var "R3" tptp.set_Pr921883667ee_a_a)) % 0.44/0.95 (define @t368 () (@var "X4" tptp.tree_a)) % 0.44/0.95 (define @t369 () (_ (_ tptp.produc649172771ee_a_a @t368) @t334)) % 0.44/0.95 (define @t370 () (_ tptp.member1092636252ee_a_a @t369)) % 0.44/0.95 (define @t371 () (@list @t368 @t334)) % 0.44/0.95 (define @t372 () (lambda @t371 (_ @t370 @t366))) % 0.44/0.95 (define @t373 () (lambda @t371 (_ @t370 @t367))) % 0.44/0.95 (define @t374 () (@list @t367 @t366)) % 0.44/0.95 (define @t375 () (@var "Q2" (-> tptp.a tptp.tree_a Bool))) % 0.44/0.95 (define @t376 () (_ (_ tptp.bNF_sndOp_a_a_Tree_a @t315) @t375)) % 0.44/0.95 (define @t377 () (_ (_ tptp.relcompp_a_a_Tree_a @t315) @t375)) % 0.44/0.95 (define @t378 () (@var "F" (-> (-> tptp.a tptp.tree_a Bool) tptp.produc143150363Tree_a Bool))) % 0.44/0.95 (define @t379 () (@var "Q2" (-> tptp.tree_a tptp.tree_a Bool))) % 0.44/0.95 (define @t380 () (_ (_ tptp.bNF_fs1579355852Tree_a @t250) @t379)) % 0.44/0.95 (define @t381 () (_ (_ tptp.relcom439193229Tree_a @t250) @t379)) % 0.44/0.95 (define @t382 () (@var "Q2" (-> tptp.tree_a tptp.a Bool))) % 0.44/0.95 (define @t383 () (@var "F" (-> (-> tptp.a tptp.a Bool) tptp.product_prod_a_a Bool))) % 0.44/0.95 (define @t384 () (_ @t210 @t215)) % 0.44/0.95 (define @t385 () (@var "B5" tptp.set_a)) % 0.44/0.95 (define @t386 () (_ @t216 @t385)) % 0.44/0.95 (define @t387 () (_ tptp.collect_a (lambda @t218 (and @t217 @t384)))) % 0.44/0.95 (define @t388 () (_ tptp.ord_less_eq_set_a @t385)) % 0.44/0.95 (define @t389 () (_ @t388 @t214)) % 0.44/0.95 (define @t390 () (_ @t198 @t220)) % 0.44/0.95 (define @t391 () (@var "B5" tptp.set_Pr1070816379Tree_a)) % 0.44/0.95 (define @t392 () (_ @t221 @t391)) % 0.44/0.95 (define @t393 () (_ tptp.collec486369286Tree_a (lambda @t223 (and @t222 @t390)))) % 0.44/0.95 (define @t394 () (_ tptp.ord_le1013007387Tree_a @t391)) % 0.44/0.95 (define @t395 () (_ @t394 @t219)) % 0.44/0.95 (define @t396 () (_ @t210 @t234)) % 0.44/0.95 (define @t397 () (_ @t254 @t234)) % 0.44/0.95 (define @t398 () (_ tptp.member_a @t234)) % 0.44/0.95 (define @t399 () (_ @t398 @t385)) % 0.44/0.95 (define @t400 () (@list @t234)) % 0.44/0.95 (define @t401 () (_ @t224 @t220)) % 0.44/0.95 (define @t402 () (_ tptp.member254315204Tree_a @t226)) % 0.44/0.95 (define @t403 () (_ @t402 @t391)) % 0.44/0.95 (define @t404 () (@var "S2" tptp.set_a)) % 0.44/0.95 (define @t405 () (@var "R3" tptp.set_a)) % 0.44/0.95 (define @t406 () (@var "S3" tptp.set_Pr1070816379Tree_a)) % 0.44/0.95 (define @t407 () (@var "R" tptp.set_Pr1070816379Tree_a)) % 0.44/0.95 (define @t408 () (_ tptp.member254315204Tree_a @t235)) % 0.44/0.95 (define @t409 () (@var "S3" tptp.set_Pr921883667ee_a_a)) % 0.44/0.95 (define @t410 () (@var "R" tptp.set_Pr921883667ee_a_a)) % 0.44/0.95 (define @t411 () (_ tptp.member1092636252ee_a_a @t241)) % 0.44/0.95 (define @t412 () (_ (_ tptp.ord_less_eq_set_a @t214) @t385)) % 0.44/0.95 (define @t413 () (_ tptp.ord_le1013007387Tree_a @t219)) % 0.44/0.95 (define @t414 () (_ @t413 @t391)) % 0.44/0.95 (define @t415 () (@var "X6" tptp.set_a)) % 0.44/0.95 (define @t416 () (_ tptp.collect_a (lambda @t218 (and (_ @t216 @t415) @t384)))) % 0.44/0.95 (define @t417 () (@var "X6" tptp.set_Pr1070816379Tree_a)) % 0.44/0.95 (define @t418 () (_ tptp.collec486369286Tree_a (lambda @t223 (and (_ @t221 @t417) @t390)))) % 0.44/0.95 (define @t419 () (@var "S4" tptp.tree_a)) % 0.44/0.95 (define @t420 () (@var "R" tptp.a)) % 0.44/0.95 (define @t421 () (_ tptp.produc686083979Tree_a @t420)) % 0.44/0.95 (define @t422 () (@var "S3" tptp.tree_a)) % 0.44/0.95 (define @t423 () (@var "S4" tptp.a)) % 0.44/0.95 (define @t424 () (_ tptp.produc649172771ee_a_a @t68)) % 0.44/0.95 (define @t425 () (@var "S3" tptp.a)) % 0.44/0.95 (define @t426 () (_ tptp.member_a @t122)) % 0.44/0.95 (define @t427 () (_ @t426 @t214)) % 0.44/0.95 (define @t428 () (_ tptp.member254315204Tree_a @t133)) % 0.44/0.95 (define @t429 () (_ @t428 @t219)) % 0.44/0.95 (define @t430 () (_ tptp.member_a @t313)) % 0.44/0.95 (define @t431 () (@var "C" tptp.produc143150363Tree_a)) % 0.44/0.95 (define @t432 () (_ tptp.member254315204Tree_a @t431)) % 0.44/0.95 (define @t433 () (@var "B6" tptp.set_a)) % 0.44/0.95 (define @t434 () (@var "T" tptp.a)) % 0.44/0.95 (define @t435 () (_ tptp.member_a @t434)) % 0.44/0.95 (define @t436 () (@var "A6" tptp.set_a)) % 0.44/0.95 (define @t437 () (@list @t436 @t433)) % 0.44/0.95 (define @t438 () (@var "B6" tptp.set_Pr1070816379Tree_a)) % 0.44/0.95 (define @t439 () (_ tptp.member254315204Tree_a @t185)) % 0.44/0.95 (define @t440 () (@var "A6" tptp.set_Pr1070816379Tree_a)) % 0.44/0.95 (define @t441 () (@list @t440 @t438)) % 0.44/0.95 (define @t442 () (_ (_ tptp.ord_le1013007387Tree_a @t213) @t225)) % 0.44/0.95 (define @t443 () (_ @t216 @t433)) % 0.44/0.95 (define @t444 () (_ @t216 @t436)) % 0.44/0.95 (define @t445 () (_ @t221 @t438)) % 0.44/0.95 (define @t446 () (_ @t221 @t440)) % 0.44/0.95 (define @t447 () (_ @t210 @t122)) % 0.44/0.95 (define @t448 () (@var "Z3" tptp.set_a)) % 0.44/0.95 (define @t449 () (@var "Z3" tptp.set_Pr1070816379Tree_a)) % 0.44/0.95 (define @t450 () (@var "G" (-> tptp.a tptp.tree_a))) % 0.44/0.95 (define @t451 () (@var "C" tptp.tree_a)) % 0.44/0.95 (define @t452 () (_ tptp.member254315204Tree_a (_ (_ tptp.produc686083979Tree_a @t101) @t451))) % 0.44/0.95 (define @t453 () (_ @t335 @t122)) % 0.44/0.95 (define @t454 () (@var "G" (-> tptp.produc143150363Tree_a tptp.tree_a))) % 0.44/0.95 (define @t455 () (@var "F" (-> tptp.produc143150363Tree_a tptp.a))) % 0.44/0.95 (define @t456 () (_ @t454 @t133)) % 0.44/0.95 (define @t457 () (@var "G" (-> tptp.a tptp.a))) % 0.44/0.95 (define @t458 () (@var "F" (-> tptp.a tptp.tree_a))) % 0.44/0.95 (define @t459 () (_ tptp.member1092636252ee_a_a (_ (_ tptp.produc649172771ee_a_a @t91) @t313))) % 0.44/0.95 (define @t460 () (@var "G" (-> tptp.produc143150363Tree_a tptp.a))) % 0.44/0.95 (define @t461 () (@var "F" (-> tptp.produc143150363Tree_a tptp.tree_a))) % 0.44/0.95 (define @t462 () (_ tptp.order_Greatest_a @t210)) % 0.44/0.95 (define @t463 () (@var "Y6" tptp.a)) % 0.44/0.95 (define @t464 () (forall (@list @t239) (=> (_ @t210 @t239) (_ (_ tptp.ord_less_eq_a @t239) @t122)))) % 0.44/0.95 (define @t465 () (_ tptp.multiset_a2 @t58)) % 0.44/0.95 (define @t466 () (@var "T5" tptp.tree_a)) % 0.44/0.95 (define @t467 () (_ @t343 @t466)) % 0.44/0.95 (define @t468 () (@var "M3" tptp.a)) % 0.44/0.95 (define @t469 () (@var "T6" tptp.tree_a)) % 0.44/0.95 (define @t470 () (_ tptp.produc686083979Tree_a @t468)) % 0.44/0.95 (define @t471 () (_ @t348 @t466)) % 0.44/0.95 (define @t472 () (@var "L6" tptp.tree_a)) % 0.44/0.95 (define @t473 () (= (_ @t470 @t278) (_ @t344 @t472))) % 0.44/0.95 (define @t474 () (_ @t343 @t472)) % 0.44/0.95 (define @t475 () (not (_ @t348 @t472))) % 0.44/0.95 (define @t476 () (@list @t472 @t468 @t278)) % 0.44/0.95 (define @t477 () (_ @t350 @t472)) % 0.44/0.95 (define @t478 () (@var "I2" tptp.list_a)) % 0.44/0.95 (define @t479 () (_ tptp.set_mset_a @t465)) % 0.44/0.95 (define @t480 () (@var "F" (-> tptp.a tptp.tree_a Bool))) % 0.44/0.95 (define @t481 () (@var "P" (-> Bool Bool))) % 0.44/0.95 (define @t482 () (_ @t481 (_ (_ @t480 @t163) @t162))) % 0.44/0.95 (define @t483 () (_ tptp.produc1673233912ee_a_o @t480)) % 0.44/0.95 (define @t484 () (_ @t483 @t161)) % 0.44/0.95 (define @t485 () (_ @t481 @t484)) % 0.44/0.95 (define @t486 () (@list @t481 @t480 @t161)) % 0.44/0.95 (define @t487 () (@var "F" (-> tptp.a tptp.tree_a tptp.tree_a))) % 0.44/0.95 (define @t488 () (_ @t33 (_ (_ @t487 @t163) @t162))) % 0.44/0.95 (define @t489 () (_ tptp.produc873356882Tree_a @t487)) % 0.44/0.95 (define @t490 () (_ @t489 @t161)) % 0.44/0.95 (define @t491 () (_ @t33 @t490)) % 0.44/0.95 (define @t492 () (@list @t33 @t487 @t161)) % 0.44/0.95 (define @t493 () (@var "F" (-> tptp.tree_a tptp.a tptp.produc143150363Tree_a))) % 0.44/0.95 (define @t494 () (_ @t198 (_ (_ @t493 @t158) @t157))) % 0.44/0.95 (define @t495 () (_ tptp.produc369019363Tree_a @t493)) % 0.44/0.95 (define @t496 () (_ @t495 @t156)) % 0.44/0.95 (define @t497 () (_ @t198 @t496)) % 0.44/0.95 (define @t498 () (@list @t198 @t493 @t156)) % 0.44/0.95 (define @t499 () (@var "F" (-> tptp.a tptp.tree_a tptp.produc981471411ee_a_a))) % 0.44/0.95 (define @t500 () (_ @t204 (_ (_ @t499 @t163) @t162))) % 0.44/0.95 (define @t501 () (_ tptp.produc1331510035ee_a_a @t499)) % 0.44/0.95 (define @t502 () (_ @t501 @t161)) % 0.44/0.95 (define @t503 () (_ @t204 @t502)) % 0.44/0.95 (define @t504 () (@list @t204 @t499 @t161)) % 0.44/0.95 (define @t505 () (@var "C" (-> tptp.a tptp.tree_a tptp.set_a))) % 0.44/0.95 (define @t506 () (_ tptp.produc1902270_set_a @t505)) % 0.44/0.95 (define @t507 () (_ tptp.member_a @t126)) % 0.44/0.95 (define @t508 () (@var "C" (-> tptp.a tptp.tree_a tptp.set_Pr1070816379Tree_a))) % 0.44/0.95 (define @t509 () (_ tptp.produc802621147Tree_a @t508)) % 0.44/0.95 (define @t510 () (@var "Z" tptp.produc143150363Tree_a)) % 0.44/0.95 (define @t511 () (_ tptp.member254315204Tree_a @t510)) % 0.44/0.95 (define @t512 () (@var "C" (-> tptp.tree_a tptp.a tptp.set_a))) % 0.44/0.95 (define @t513 () (_ tptp.produc136688934_set_a @t512)) % 0.44/0.95 (define @t514 () (@var "C" (-> tptp.tree_a tptp.a tptp.set_Pr1070816379Tree_a))) % 0.44/0.95 (define @t515 () (_ tptp.produc951236931Tree_a @t514)) % 0.44/0.95 (define @t516 () (_ @t507 (_ @t506 @t114))) % 0.44/0.95 (define @t517 () (= @t114 @t201)) % 0.44/0.95 (define @t518 () (_ @t511 (_ @t509 @t114))) % 0.44/0.95 (define @t519 () (_ @t507 (_ @t513 @t111))) % 0.44/0.95 (define @t520 () (= @t111 @t207)) % 0.44/0.95 (define @t521 () (_ @t511 (_ @t515 @t111))) % 0.44/0.95 (define @t522 () (@var "F" (-> tptp.tree_a tptp.a Bool))) % 0.44/0.95 (define @t523 () (_ tptp.produc1587316832_a_a_o @t522)) % 0.44/0.95 (define @t524 () (_ @t523 @t107)) % 0.44/0.95 (define @t525 () (_ (_ @t522 @t104) @t101)) % 0.44/0.95 (define @t526 () (@list @t522 @t104 @t101)) % 0.44/0.95 (define @t527 () (_ @t483 @t97)) % 0.44/0.95 (define @t528 () (_ (_ @t480 @t94) @t91)) % 0.44/0.95 (define @t529 () (@list @t480 @t94 @t91)) % 0.44/0.95 (define @t530 () (@var "C" (-> tptp.tree_a tptp.a Bool))) % 0.44/0.95 (define @t531 () (_ (_ tptp.produc1587316832_a_a_o @t530) @t111)) % 0.44/0.95 (define @t532 () (@var "C" (-> tptp.a tptp.tree_a Bool))) % 0.44/0.95 (define @t533 () (_ (_ tptp.produc1673233912ee_a_o @t532) @t114)) % 0.44/0.95 (define @t534 () (_ @t483 @t114)) % 0.44/0.95 (define @t535 () (@list @t359 @t215)) % 0.44/0.95 (define @t536 () (_ @t489 @t114)) % 0.44/0.95 (define @t537 () (_ @t495 @t111)) % 0.44/0.95 (define @t538 () (@list @t334 @t368)) % 0.44/0.95 (define @t539 () (_ @t501 @t114)) % 0.44/0.95 (define @t540 () (@var "F" (-> tptp.tree_a tptp.a tptp.tree_a))) % 0.44/0.95 (define @t541 () (@var "F" (-> tptp.a tptp.tree_a tptp.produc143150363Tree_a))) % 0.44/0.95 (define @t542 () (@var "F" (-> tptp.tree_a tptp.a tptp.produc981471411ee_a_a))) % 0.44/0.95 (define @t543 () (@var "A5" (-> tptp.tree_a tptp.a Bool))) % 0.44/0.95 (define @t544 () (@var "A5" (-> tptp.a tptp.tree_a Bool))) % 0.44/0.95 (define @t545 () (_ tptp.collec486369286Tree_a (_ tptp.produc1673233912ee_a_o @t544))) % 0.44/0.95 (define @t546 () (@var "X25" tptp.tree_a)) % 0.44/0.95 (define @t547 () (@var "X13" tptp.a)) % 0.44/0.95 (define @t548 () (_ (_ @t480 @t547) @t546)) % 0.44/0.95 (define @t549 () (@var "H" (-> Bool Bool))) % 0.44/0.95 (define @t550 () (@list @t547 @t546)) % 0.44/0.95 (define @t551 () (@var "H" (-> Bool tptp.tree_a))) % 0.44/0.95 (define @t552 () (@var "H" (-> Bool tptp.produc981471411ee_a_a))) % 0.44/0.95 (define @t553 () (_ (_ @t487 @t547) @t546)) % 0.44/0.95 (define @t554 () (@var "H" (-> tptp.tree_a Bool))) % 0.44/0.95 (define @t555 () (@var "H" (-> tptp.tree_a tptp.tree_a))) % 0.44/0.95 (define @t556 () (@var "H" (-> tptp.tree_a tptp.produc981471411ee_a_a))) % 0.44/0.95 (define @t557 () (@var "X25" tptp.a)) % 0.44/0.95 (define @t558 () (@var "X13" tptp.tree_a)) % 0.44/0.95 (define @t559 () (@var "H" (-> tptp.produc143150363Tree_a tptp.produc143150363Tree_a))) % 0.44/0.95 (define @t560 () (@list @t558 @t557)) % 0.44/0.95 (define @t561 () (_ (_ @t499 @t547) @t546)) % 0.44/0.95 (define @t562 () (@var "H" (-> tptp.produc981471411ee_a_a Bool))) % 0.44/0.95 (define @t563 () (@var "H" (-> tptp.produc981471411ee_a_a tptp.tree_a))) % 0.44/0.95 (define @t564 () (@var "H" (-> tptp.produc981471411ee_a_a tptp.produc981471411ee_a_a))) % 0.44/0.95 (define @t565 () (lambda @t550 @t547)) % 0.44/0.95 (define @t566 () (_ tptp.produc950721886ee_a_a @t565)) % 0.44/0.95 (define @t567 () (@var "Q2" (-> Bool Bool))) % 0.44/0.95 (define @t568 () (= @t510 @t235)) % 0.44/0.95 (define @t569 () (_ tptp.produc1673233912ee_a_o @t250)) % 0.44/0.95 (define @t570 () (@var "P" (-> tptp.a tptp.tree_a tptp.tree_a))) % 0.44/0.95 (define @t571 () (@var "P" (-> tptp.tree_a tptp.a tptp.produc143150363Tree_a))) % 0.44/0.95 (define @t572 () (@var "Z" tptp.produc981471411ee_a_a)) % 0.44/0.95 (define @t573 () (@var "P" (-> tptp.a tptp.tree_a tptp.produc981471411ee_a_a))) % 0.44/0.95 (define @t574 () (@var "Q2" (-> tptp.produc981471411ee_a_a Bool))) % 0.44/0.95 (define @t575 () (@var "F" (-> tptp.produc143150363Tree_a Bool))) % 0.44/0.95 (define @t576 () (@list @t575)) % 0.44/0.95 (define @t577 () (@list @t461)) % 0.44/0.95 (define @t578 () (@var "F" (-> tptp.produc981471411ee_a_a tptp.produc143150363Tree_a))) % 0.44/0.95 (define @t579 () (@list @t578)) % 0.44/0.95 (define @t580 () (@var "F" (-> tptp.produc143150363Tree_a tptp.produc981471411ee_a_a))) % 0.44/0.95 (define @t581 () (@list @t580)) % 0.44/0.95 (define @t582 () (@var "G" (-> tptp.produc143150363Tree_a Bool))) % 0.44/0.95 (define @t583 () (_ (_ @t480 @t234) @t233)) % 0.44/0.95 (define @t584 () (_ (_ @t487 @t234) @t233)) % 0.44/0.95 (define @t585 () (@var "G" (-> tptp.produc981471411ee_a_a tptp.produc143150363Tree_a))) % 0.44/0.95 (define @t586 () (_ (_ @t493 @t240) @t239)) % 0.44/0.95 (define @t587 () (@var "G" (-> tptp.produc143150363Tree_a tptp.produc981471411ee_a_a))) % 0.44/0.95 (define @t588 () (_ (_ @t499 @t234) @t233)) % 0.44/0.95 (define @t589 () (@var "B5" (-> tptp.a tptp.tree_a Bool))) % 0.44/0.95 (define @t590 () (@var "P3" tptp.produc143150363Tree_a)) % 0.44/0.95 (define @t591 () (_ tptp.product_snd_a_Tree_a @t590)) % 0.44/0.95 (define @t592 () (_ tptp.product_fst_a_Tree_a @t590)) % 0.44/0.95 (define @t593 () (@var "F2" (-> tptp.a tptp.tree_a Bool))) % 0.44/0.95 (define @t594 () (@var "F2" (-> tptp.a tptp.tree_a tptp.tree_a))) % 0.44/0.95 (define @t595 () (@var "P3" tptp.produc981471411ee_a_a)) % 0.44/0.95 (define @t596 () (_ tptp.product_snd_Tree_a_a @t595)) % 0.44/0.95 (define @t597 () (_ tptp.product_fst_Tree_a_a @t595)) % 0.44/0.95 (define @t598 () (@var "F2" (-> tptp.tree_a tptp.a tptp.produc143150363Tree_a))) % 0.44/0.95 (define @t599 () (@var "F2" (-> tptp.a tptp.tree_a tptp.produc981471411ee_a_a))) % 0.44/0.95 (define @t600 () (@var "Ac2" tptp.produc143150363Tree_a)) % 0.44/0.95 (define @t601 () (_ tptp.member254315204Tree_a @t600)) % 0.44/0.95 (define @t602 () (_ tptp.produc1673233912ee_a_o @t375)) % 0.44/0.95 (define @t603 () (_ tptp.product_snd_a_Tree_a @t220)) % 0.44/0.95 (define @t604 () (_ tptp.product_fst_a_Tree_a @t220)) % 0.44/0.95 (define @t605 () (@var "X4" tptp.produc981471411ee_a_a)) % 0.44/0.95 (define @t606 () (@var "C2" (-> tptp.a tptp.tree_a Bool))) % 0.44/0.95 (define @t607 () (@var "C2" (-> tptp.a tptp.tree_a tptp.tree_a))) % 0.44/0.95 (define @t608 () (@var "C2" (-> tptp.tree_a tptp.a tptp.produc143150363Tree_a))) % 0.44/0.95 (define @t609 () (@var "C2" (-> tptp.a tptp.tree_a tptp.produc981471411ee_a_a))) % 0.44/0.95 (define @t610 () (@var "G" (-> tptp.a tptp.tree_a Bool))) % 0.44/0.95 (define @t611 () (= @t235 @t177)) % 0.44/0.95 (define @t612 () (@var "G" (-> tptp.a tptp.tree_a tptp.tree_a))) % 0.44/0.95 (define @t613 () (@var "G" (-> tptp.tree_a tptp.a tptp.produc143150363Tree_a))) % 0.44/0.95 (define @t614 () (@var "G" (-> tptp.a tptp.tree_a tptp.produc981471411ee_a_a))) % 0.44/0.95 (define @t615 () (_ tptp.produc1291432345ee_a_o @t575)) % 0.44/0.95 (define @t616 () (_ (_ @t615 @t94) @t91)) % 0.44/0.95 (define @t617 () (_ @t575 @t97)) % 0.44/0.95 (define @t618 () (@list @t575 @t94 @t91)) % 0.44/0.95 (define @t619 () (@var "F" (-> tptp.produc981471411ee_a_a Bool))) % 0.44/0.95 (define @t620 () (_ (_ (_ tptp.produc1205515265_a_a_o @t619) @t104) @t101)) % 0.44/0.95 (define @t621 () (_ @t619 @t107)) % 0.44/0.95 (define @t622 () (@list @t619 @t104 @t101)) % 0.44/0.95 (define @t623 () (@var "Ab" tptp.produc143150363Tree_a)) % 0.44/0.95 (define @t624 () (@var "P" Bool)) % 0.44/0.95 (define @t625 () (_ tptp.produc1331510035ee_a_a (lambda @t362 (_ (_ tptp.produc649172771ee_a_a @t359) @t215)))) % 0.44/0.95 (define @t626 () (_ tptp.produc369019363Tree_a (lambda @t371 (_ (_ tptp.produc686083979Tree_a @t334) @t368)))) % 0.44/0.95 (define @t627 () (_ tptp.comp_P265462805Tree_a tptp.product_fst_a_Tree_a)) % 0.44/0.95 (define @t628 () (@var "Q2" (-> tptp.a tptp.a Bool))) % 0.44/0.95 (define @t629 () (_ tptp.comp_P1066590417ee_a_a tptp.product_fst_Tree_a_a)) % 0.44/0.95 (define @t630 () (_ tptp.comp_P825537953Tree_a tptp.product_snd_a_Tree_a)) % 0.44/0.95 (define @t631 () (@var "K" (-> tptp.produc981471411ee_a_a tptp.produc143150363Tree_a))) % 0.44/0.95 (define @t632 () (@var "H" (-> tptp.produc143150363Tree_a tptp.tree_a))) % 0.44/0.95 (define @t633 () (@var "K" (-> tptp.produc143150363Tree_a tptp.produc981471411ee_a_a))) % 0.44/0.95 (define @t634 () (_ (_ (_ tptp.comp_P228269369Tree_a @t563) @t633) @t133)) % 0.44/0.95 (define @t635 () (@var "F" (-> tptp.produc981471411ee_a_a tptp.tree_a))) % 0.44/0.95 (define @t636 () (_ (_ (_ tptp.comp_P228269369Tree_a @t635) @t587) @t133)) % 0.44/0.95 (define @t637 () (_ @t563 (_ @t633 @t133))) % 0.44/0.95 (define @t638 () (_ @t635 (_ @t587 @t133))) % 0.44/0.95 (define @t639 () (@var "K" (-> tptp.produc143150363Tree_a tptp.produc143150363Tree_a))) % 0.44/0.95 (define @t640 () (_ (_ (_ tptp.comp_P825537953Tree_a @t632) @t639) @t133)) % 0.44/0.95 (define @t641 () (_ @t632 (_ @t639 @t133))) % 0.44/0.95 (define @t642 () (@var "K" (-> tptp.produc143150363Tree_a tptp.tree_a))) % 0.44/0.95 (define @t643 () (_ (_ (_ tptp.comp_T236170232Tree_a @t555) @t642) @t133)) % 0.44/0.95 (define @t644 () (_ @t555 (_ @t642 @t133))) % 0.44/0.95 (define @t645 () (@var "G" (-> tptp.produc143150363Tree_a tptp.produc143150363Tree_a))) % 0.44/0.95 (define @t646 () (_ (_ (_ tptp.comp_P825537953Tree_a @t461) @t645) @t133)) % 0.44/0.95 (define @t647 () (_ @t461 (_ @t645 @t133))) % 0.44/0.95 (define @t648 () (@var "F" (-> tptp.tree_a tptp.tree_a))) % 0.44/0.95 (define @t649 () (_ tptp.comp_T236170232Tree_a @t648)) % 0.44/0.95 (define @t650 () (_ (_ @t649 @t454) @t133)) % 0.44/0.95 (define @t651 () (_ @t648 @t456)) % 0.44/0.95 (define @t652 () (_ tptp.produc819961216ee_a_a @t648)) % 0.44/0.95 (define @t653 () (@list @t648)) % 0.44/0.95 (define @t654 () (_ tptp.produc1107567542Tree_a @t335)) % 0.44/0.95 (define @t655 () (@list @t335)) % 0.44/0.95 (define @t656 () (_ tptp.produc569472578ee_a_a @t648)) % 0.44/0.95 (define @t657 () (_ tptp.produc969245172Tree_a @t335)) % 0.44/0.95 (define @t658 () (_ @t335 @t173)) % 0.44/0.95 (define @t659 () (_ @t654 @t133)) % 0.44/0.95 (define @t660 () (@list @t335 @t133)) % 0.44/0.95 (define @t661 () (_ @t648 @t174)) % 0.44/0.95 (define @t662 () (_ @t457 @t173)) % 0.44/0.95 (define @t663 () (_ (_ tptp.produc1107567542Tree_a @t457) @t133)) % 0.44/0.95 (define @t664 () (_ @t652 @t133)) % 0.44/0.95 (define @t665 () (@list @t648 @t133)) % 0.44/0.95 (define @t666 () (@var "G" (-> tptp.tree_a tptp.tree_a))) % 0.44/0.95 (define @t667 () (_ @t666 @t134)) % 0.44/0.95 (define @t668 () (_ @t648 @t134)) % 0.44/0.95 (define @t669 () (_ (_ tptp.produc819961216ee_a_a @t666) @t133)) % 0.44/0.95 (define @t670 () (@var "F" (-> tptp.tree_a tptp.a))) % 0.44/0.95 (define @t671 () (@var "G" (-> tptp.tree_a tptp.a))) % 0.44/0.95 (define @t672 () (@list @t133 @t231)) % 0.44/0.95 (define @t673 () (_ tptp.heapIm837449470Leaf_a @t1)) % 0.44/0.95 (define @t674 () (_ tptp.product_snd_a_Tree_a @t673)) % 0.44/0.95 (define @t675 () (_ tptp.is_heap_a @t674)) % 0.44/0.95 (define @t676 () (not @t675)) % 0.44/0.95 (define @t677 () (@list @t196)) % 0.44/0.95 (define @t678 () (lambda @t677 (= @t196 tptp.e_a))) % 0.44/0.95 (define @t679 () (lambda (@list @t595) (_ (_ tptp.produc686083979Tree_a @t596) @t597))) % 0.44/0.95 (define @t680 () (lambda (@list @t590) (_ (_ tptp.produc649172771ee_a_a @t591) @t592))) % 0.44/0.95 (define @t681 () (_ tptp.heapIm837449470Leaf_a @t196)) % 0.44/0.95 (define @t682 () (_ tptp.product_snd_a_Tree_a @t681)) % 0.44/0.95 (define @t683 () (_ tptp.produc686083979Tree_a (_ tptp.val_a @t196))) % 0.44/0.95 (define @t684 () (lambda @t677 (_ (_ (_ tptp.if_Pro1144176865Tree_a (= @t682 tptp.e_a)) (_ @t683 tptp.e_a)) (_ @t683 (_ tptp.heapIm1091024090Down_a (_ (_ (_ tptp.t_a (_ tptp.product_fst_a_Tree_a @t681)) (_ tptp.heapIm1140443833left_a @t682)) (_ tptp.heapIm1257206334ight_a @t682))))))) % 0.44/0.95 (define @t685 () (@var "Ac" tptp.produc981471411ee_a_a)) % 0.44/0.95 (define @t686 () (_ tptp.product_snd_Tree_a_a @t685)) % 0.44/0.95 (define @t687 () (_ tptp.product_fst_Tree_a_a @t685)) % 0.44/0.95 (define @t688 () (@var "Q3" (-> tptp.tree_a tptp.a Bool))) % 0.44/0.95 (define @t689 () (@var "P4" (-> tptp.tree_a tptp.tree_a Bool))) % 0.44/0.95 (define @t690 () (lambda (@list @t689 @t688 @t685) (_ (_ tptp.produc649172771ee_a_a (_ (_ (_ (_ tptp.bNF_pi1059296282ee_a_a @t689) @t688) @t687) @t686)) @t686))) % 0.44/0.95 (define @t691 () (@var "Ac" tptp.produc143150363Tree_a)) % 0.44/0.95 (define @t692 () (_ tptp.product_snd_a_Tree_a @t691)) % 0.44/0.95 (define @t693 () (_ tptp.product_fst_a_Tree_a @t691)) % 0.44/0.95 (define @t694 () (@var "Q3" (-> tptp.a tptp.tree_a Bool))) % 0.44/0.95 (define @t695 () (@var "P4" (-> tptp.a tptp.a Bool))) % 0.44/0.95 (define @t696 () (lambda (@list @t695 @t694 @t691) (_ (_ tptp.produc686083979Tree_a (_ (_ (_ (_ tptp.bNF_pi207687054Tree_a @t695) @t694) @t693) @t692)) @t692))) % 0.44/0.95 (define @t697 () (@var "Q3" (-> tptp.a tptp.a Bool))) % 0.44/0.95 (define @t698 () (@var "P4" (-> tptp.tree_a tptp.a Bool))) % 0.44/0.95 (define @t699 () (lambda (@list @t698 @t697 @t685) (_ (_ tptp.produc649172771ee_a_a @t687) (_ (_ (_ (_ tptp.bNF_pi1407460238_a_a_a @t698) @t697) @t687) @t686)))) % 0.44/0.95 (define @t700 () (@var "Q3" (-> tptp.tree_a tptp.tree_a Bool))) % 0.44/0.95 (define @t701 () (@var "P4" (-> tptp.a tptp.tree_a Bool))) % 0.44/0.95 (define @t702 () (lambda (@list @t701 @t700 @t691) (_ (_ tptp.produc686083979Tree_a @t693) (_ (_ (_ (_ tptp.bNF_pi1536086554Tree_a @t701) @t700) @t693) @t692)))) % 0.44/0.95 (define @t703 () (lambda @t437 (forall @t218 (=> @t444 @t443)))) % 0.44/0.95 (define @t704 () (lambda @t441 (forall @t223 (=> @t446 @t445)))) % 0.44/0.95 (define @t705 () (@var "As_tree2" (-> tptp.tree_a tptp.tree_a))) % 0.44/0.95 (define @t706 () (_ @t705 @t196)) % 0.44/0.95 (define @t707 () (@var "M2" tptp.a)) % 0.44/0.95 (define @t708 () (@var "Remove_max2" (-> tptp.tree_a tptp.produc143150363Tree_a))) % 0.44/0.95 (define @t709 () (@var "T4" tptp.tree_a)) % 0.44/0.95 (define @t710 () (_ tptp.produc686083979Tree_a @t707)) % 0.44/0.95 (define @t711 () (@var "Is_empty2" (-> tptp.tree_a Bool))) % 0.44/0.95 (define @t712 () (_ @t711 @t196)) % 0.44/0.95 (define @t713 () (@var "L5" tptp.tree_a)) % 0.44/0.95 (define @t714 () (@var "L4" tptp.tree_a)) % 0.44/0.95 (define @t715 () (= (_ @t710 @t713) (_ @t708 @t714))) % 0.44/0.95 (define @t716 () (_ @t705 @t714)) % 0.44/0.95 (define @t717 () (not (_ @t711 @t714))) % 0.44/0.95 (define @t718 () (@list @t714 @t707 @t713)) % 0.44/0.95 (define @t719 () (@var "Multiset2" (-> tptp.tree_a tptp.multiset_a))) % 0.44/0.95 (define @t720 () (_ @t719 @t714)) % 0.44/0.95 (define @t721 () (@var "I" tptp.list_a)) % 0.44/0.95 (define @t722 () (@var "Of_list2" (-> tptp.list_a tptp.tree_a))) % 0.44/0.95 (define @t723 () (lambda (@list @t711 @t722 @t719 @t705 @t708) (and (forall (@list @t714) (= @t720 (_ tptp.multiset_a2 @t716))) (forall (@list @t721) (_ tptp.is_heap_a (_ @t705 (_ @t722 @t721)))) (forall @t677 (= (= @t706 tptp.e_a) @t712)) (forall @t718 (=> @t717 (=> @t715 (= (_ (_ tptp.add_mset_a @t707) (_ @t719 @t713)) @t720)))) (forall @t718 (=> @t717 (=> (_ tptp.is_heap_a @t716) (=> @t715 (_ tptp.is_heap_a (_ @t705 @t713)))))) (forall (@list @t196 @t707 @t709) (=> (not @t712) (=> (= (_ @t710 @t709) (_ @t708 @t196)) (= @t707 (_ tptp.val_a @t706)))))))) % 0.44/0.95 (define @t724 () (@var "Prod3" tptp.produc143150363Tree_a)) % 0.44/0.95 (define @t725 () (_ tptp.product_snd_a_Tree_a @t724)) % 0.44/0.95 (define @t726 () (_ tptp.product_fst_a_Tree_a @t724)) % 0.44/0.95 (define @t727 () (lambda (@list @t593 @t724) (_ (_ @t593 @t726) @t725))) % 0.44/0.95 (define @t728 () (lambda (@list @t594 @t724) (_ (_ @t594 @t726) @t725))) % 0.44/0.95 (define @t729 () (@var "Prod3" tptp.produc981471411ee_a_a)) % 0.44/0.95 (define @t730 () (lambda (@list @t598 @t729) (_ (_ @t598 (_ tptp.product_fst_Tree_a_a @t729)) (_ tptp.product_snd_Tree_a_a @t729)))) % 0.44/0.95 (define @t731 () (lambda (@list @t599 @t724) (_ (_ @t599 @t726) @t725))) % 0.44/0.95 (define @t732 () (tptp.product_snd_a_Tree_a @t161)) % 0.44/0.95 (define @t733 () (tptp.produc950721886ee_a_a @t565 @t161)) % 0.44/0.95 (define @t734 () (_ @t566 @t161)) % 0.44/0.95 (define @t735 () (tptp.produc686083979Tree_a @t734 @t732)) % 0.44/0.95 (define @t736 () (= @t161 @t735)) % 0.44/0.95 (define @t737 () (_ @t566 @t161)) % 0.44/0.95 (define @t738 () (tptp.produc686083979Tree_a @t737 @t732)) % 0.44/0.95 (define @t739 () (= @t161 @t738)) % 0.44/0.95 (define @t740 () (tptp.product_fst_a_Tree_a @t161)) % 0.44/0.95 (define @t741 () (tptp.produc686083979Tree_a @t740 @t732)) % 0.44/0.95 (define @t742 () (= @t161 @t741)) % 0.44/0.95 (define @t743 () (tptp.t_a tptp.v tptp.e_a tptp.e_a)) % 0.44/0.95 (define @t744 () (tptp.heapIm837449470Leaf_a @t743)) % 0.44/0.95 (define @t745 () (tptp.product_snd_a_Tree_a @t744)) % 0.44/0.95 (define @t746 () (@purify @t565)) % 0.44/0.95 (define @t747 () (tptp.produc950721886ee_a_a @t565 @t744)) % 0.44/0.95 (define @t748 () (tptp.produc686083979Tree_a @t747 @t745)) % 0.44/0.95 (define @t749 () (= @t744 @t748)) % 0.44/0.95 (define @t750 () (forall @t165 (= @t161 (tptp.produc686083979Tree_a @t733 @t732)))) % 0.44/0.95 (define @t751 () (tptp.produc950721886ee_a_a @t746 @t744)) % 0.44/0.95 (define @t752 () (tptp.produc686083979Tree_a @t751 @t745)) % 0.44/0.95 (define @t753 () (tptp.produc686083979Tree_a @t37 tptp.e_a)) % 0.44/0.95 (define @t754 () (tptp.t_a @t37 tptp.e_a tptp.e_a)) % 0.44/0.95 (define @t755 () (tptp.heapIm837449470Leaf_a @t754)) % 0.44/0.95 (define @t756 () (tptp.is_heap_a tptp.e_a)) % 0.44/0.95 (define @t757 () (tptp.is_heap_a @t745)) % 0.44/0.95 (define @t758 () (= tptp.e_a @t745)) % 0.44/0.95 (define @t759 () (not @t758)) % 0.44/0.95 (define @t760 () (not @t756)) % 0.44/0.95 (define @t761 () (not @t757)) % 0.44/0.95 (define @t762 () (and @t756 @t758 @t761)) % 0.44/0.95 (define @t763 () (and (= tptp.v @t751) @t758)) % 0.44/0.95 (define @t764 () (not @t763)) % 0.44/0.95 (define @t765 () (tptp.produc686083979Tree_a @t76 @t74)) % 0.44/0.95 (define @t766 () (tptp.produc686083979Tree_a @t77 @t75)) % 0.44/0.95 (define @t767 () (= @t766 @t765)) % 0.44/0.95 (define @t768 () (= (tptp.produc686083979Tree_a tptp.v tptp.e_a) @t752)) % 0.44/0.95 (define @t769 () (= @t763 @t768)) % 0.44/0.95 (assume @p1 (not (= tptp.t tptp.e_a))) % 0.44/0.95 (assume @p2 (_ tptp.is_heap_a tptp.t)) % 0.44/0.95 (assume @p3 (not (= @t1 tptp.e_a))) % 0.44/0.95 (assume @p4 (_ tptp.is_heap_a @t1)) % 0.44/0.95 (assume @p5 (forall @t29 (=> @t28 (=> @t26 (=> @t23 (=> @t21 @t17)))))) % 0.44/0.95 (assume @p6 (forall @t29 (=> @t26 (=> @t23 (=> @t21 (=> @t16 (=> (forall @t31 (not (= @t14 @t30))) @t27))))))) % 0.44/0.95 (assume @p7 (forall (@list @t33 @t32) (=> (forall @t25 (_ @t33 @t24)) (=> (forall @t20 (=> @t36 (=> @t36 (_ @t33 @t22)))) (=> (forall @t20 (=> @t36 (=> @t36 (_ @t33 @t19)))) (=> (forall @t15 (=> @t36 (=> @t36 (_ @t33 @t13)))) (=> (forall @t31 (=> @t35 (=> @t35 (_ @t33 @t30)))) (=> @t34 (_ @t33 @t32))))))))) % 0.44/0.95 (assume @p8 (forall @t41 (_ tptp.is_heap_a @t40))) % 0.44/0.95 (assume @p9 (forall (@list @t47 @t45 @t43 @t46 @t44 @t42) (= (= @t48 (_ (_ (_ tptp.t_a @t46) @t44) @t42)) (and (= @t47 @t46) (= @t45 @t44) (= @t43 @t42))))) % 0.44/0.95 (assume @p10 @t49) % 0.44/0.95 (assume @p11 (forall (@list @t47 @t45 @t43) (not (= tptp.e_a @t48)))) % 0.44/0.95 (assume @p12 (forall (@list @t33 @t50) (=> @t34 (=> (forall (@list @t53 @t52 @t51) (=> (_ @t33 @t52) (=> (_ @t33 @t51) (_ @t33 (_ (_ (_ tptp.t_a @t53) @t52) @t51))))) (_ @t33 @t50))))) % 0.44/0.95 (assume @p13 (forall (@list @t57) (=> (not (= @t57 tptp.e_a)) (not (forall (@list @t56 @t55 @t54) (not (= @t57 (_ (_ (_ tptp.t_a @t56) @t55) @t54)))))))) % 0.44/0.95 (assume @p14 (forall @t29 (=> @t28 (=> @t26 (=> @t21 (=> @t23 @t17)))))) % 0.44/0.95 (assume @p15 (forall @t62 (=> (not (= @t59 tptp.e_a)) (=> @t61 (= @t60 (_ tptp.val_a @t59)))))) % 0.44/0.95 (assume @p16 @t66) % 0.44/0.95 (assume @p17 (forall (@list @t69 @t68 @t58 @t37) (=> (_ tptp.is_heap_a @t69) (=> (_ tptp.is_heap_a @t68) (=> @t71 (_ tptp.is_heap_a @t67)))))) % 0.44/0.95 (assume @p18 (forall @t41 (= (_ tptp.heapIm1091024090Down_a @t40) @t40))) % 0.44/0.95 (assume @p19 (forall (@list @t37 @t73 @t72) (= (_ tptp.val_a (_ (_ @t38 @t73) @t72)) @t37))) % 0.44/0.95 (assume @p20 (= (_ tptp.heapIm1091024090Down_a tptp.e_a) tptp.e_a)) % 0.44/0.95 (assume @p21 @t84) % 0.44/0.95 (assume @p22 (forall (@list @t88 @t86 @t87 @t85) (= (= @t89 (_ (_ tptp.produc649172771ee_a_a @t87) @t85)) (and (= @t88 @t87) (= @t86 @t85))))) % 0.44/0.95 (assume @p23 (forall @t99 (= @t98 (and @t95 @t92)))) % 0.44/0.95 (assume @p24 (forall @t109 (= @t108 (and @t105 @t102)))) % 0.44/0.95 (assume @p25 (forall @t62 (=> @t61 (_ (_ tptp.in_tree_a (_ tptp.val_a @t67)) @t58)))) % 0.44/0.95 (assume @p26 (forall (@list @t101 @t111) (= (= @t101 @t112) (exists (@list @t110) (= @t111 (_ (_ tptp.produc649172771ee_a_a @t110) @t101)))))) % 0.44/0.95 (assume @p27 (forall (@list @t91 @t114) (= (= @t91 @t115) (exists (@list @t113) (= @t114 (_ (_ tptp.produc686083979Tree_a @t113) @t91)))))) % 0.44/0.95 (assume @p28 (forall @t116 (= (_ tptp.product_snd_Tree_a_a @t89) @t86))) % 0.44/0.95 (assume @p29 (forall @t117 (= (_ tptp.product_snd_a_Tree_a @t80) @t75))) % 0.44/0.95 (assume @p30 (forall (@list @t14 @t118 @t94) (=> (= @t121 @t94) (= @t118 @t94)))) % 0.44/0.95 (assume @p31 (forall (@list @t122 @t57 @t104) (=> (= @t125 @t104) (= @t57 @t104)))) % 0.44/0.95 (assume @p32 (forall @t131 (=> @t130 (= @t128 @t126)))) % 0.44/0.95 (assume @p33 (forall @t137 (=> @t136 (= @t134 @t132)))) % 0.44/0.95 (assume @p34 (forall @t148 (= (_ tptp.heapIm837449470Leaf_a @t147) (_ @t145 (_ @t144 tptp.e_a))))) % 0.44/0.95 (assume @p35 (forall @t148 (= (_ tptp.heapIm837449470Leaf_a @t149) (_ @t145 (_ @t39 @t143))))) % 0.44/0.95 (assume @p36 (forall @t155 (= (_ tptp.heapIm837449470Leaf_a @t154) (_ @t145 (_ @t144 @t153))))) % 0.44/0.95 (assume @p37 (forall @t160 (= @t159 @t156))) % 0.44/0.95 (assume @p38 @t166) % 0.44/0.95 (assume @p39 (forall (@list @t94 @t114) (= (= @t94 @t168) (exists (@list @t167) (= @t114 (_ @t96 @t167)))))) % 0.44/0.95 (assume @p40 (forall (@list @t104 @t111) (= (= @t104 @t170) (exists (@list @t169) (= @t111 (_ @t106 @t169)))))) % 0.44/0.95 (assume @p41 (forall @t117 (= (_ tptp.product_fst_a_Tree_a @t80) @t77))) % 0.44/0.95 (assume @p42 (forall @t116 (= (_ tptp.product_fst_Tree_a_a @t89) @t88))) % 0.44/0.95 (assume @p43 (forall (@list @t122 @t57 @t94) (=> (= @t171 @t94) (= @t122 @t94)))) % 0.44/0.95 (assume @p44 (forall (@list @t14 @t118 @t104) (=> (= @t172 @t104) (= @t14 @t104)))) % 0.44/0.95 (assume @p45 (forall @t137 (=> @t136 (= @t173 @t118)))) % 0.44/0.95 (assume @p46 (forall @t131 (=> @t130 (= @t174 @t57)))) % 0.44/0.95 (assume @p47 (forall (@list @t111 @t175) (=> (= @t170 (_ tptp.product_fst_Tree_a_a @t175)) (=> (= @t112 (_ tptp.product_snd_Tree_a_a @t175)) @t176)))) % 0.44/0.95 (assume @p48 (forall (@list @t114 @t177) (=> (= @t168 (_ tptp.product_fst_a_Tree_a @t177)) (=> (= @t115 (_ tptp.product_snd_a_Tree_a @t177)) @t178)))) % 0.44/0.95 (assume @p49 (forall (@list @t156 @t179) (=> (and (= @t158 (_ tptp.product_fst_Tree_a_a @t179)) (= @t157 (_ tptp.product_snd_Tree_a_a @t179))) (= @t156 @t179)))) % 0.44/0.95 (assume @p50 (forall (@list @t161 @t180) (=> (and (= @t163 (_ tptp.product_fst_a_Tree_a @t180)) (= @t162 (_ tptp.product_snd_a_Tree_a @t180))) (= @t161 @t180)))) % 0.44/0.95 (assume @p51 (= (lambda (@list @t184 @t183) (= @t184 @t183)) (lambda (@list @t182 @t181) (and (= (_ tptp.product_fst_Tree_a_a @t182) (_ tptp.product_fst_Tree_a_a @t181)) (= (_ tptp.product_snd_Tree_a_a @t182) (_ tptp.product_snd_Tree_a_a @t181)))))) % 0.44/0.95 (assume @p52 (= (lambda (@list @t188 @t187) (= @t188 @t187)) (lambda (@list @t186 @t185) (and (= (_ tptp.product_fst_a_Tree_a @t186) (_ tptp.product_fst_a_Tree_a @t185)) (= (_ tptp.product_snd_a_Tree_a @t186) (_ tptp.product_snd_a_Tree_a @t185)))))) % 0.44/0.95 (assume @p53 (forall (@list @t189) (= @t189 (_ (_ tptp.produc649172771ee_a_a (_ tptp.product_fst_Tree_a_a @t189)) (_ tptp.product_snd_Tree_a_a @t189))))) % 0.44/0.95 (assume @p54 (forall (@list @t190) (= @t190 (_ (_ tptp.produc686083979Tree_a (_ tptp.product_fst_a_Tree_a @t190)) (_ tptp.product_snd_a_Tree_a @t190))))) % 0.44/0.95 (assume @p55 (forall @t160 @t191)) % 0.44/0.95 (assume @p56 @t193) % 0.44/0.95 (assume @p57 (forall (@list @t37 @t195 @t69 @t68) (= (_ @t194 (_ (_ (_ tptp.t_a @t195) @t69) @t68)) (or (= @t37 @t195) (_ @t194 @t69) (_ @t194 @t68))))) % 0.44/0.95 (assume @p58 (forall @t41 (not (_ @t194 tptp.e_a)))) % 0.44/0.95 (assume @p59 (= tptp.in_tree_a (lambda (@list @t197 @t196) (_ (_ tptp.in_tree_a @t197) (_ tptp.heapIm1091024090Down_a @t196))))) % 0.44/0.95 (assume @p60 (forall (@list @t198 @t161) (=> @t203 (_ @t198 @t161)))) % 0.44/0.95 (assume @p61 (forall (@list @t204 @t156) (=> @t209 (_ @t204 @t156)))) % 0.44/0.95 (assume @p62 (forall (@list @t94 @t210) (= (_ @t211 (_ tptp.collect_a @t210)) (_ @t210 @t94)))) % 0.44/0.95 (assume @p63 (forall (@list @t212 @t198) (= (_ (_ tptp.member254315204Tree_a @t212) @t213) (_ @t198 @t212)))) % 0.44/0.95 (assume @p64 (forall (@list @t214) (= (_ tptp.collect_a (lambda @t218 @t217)) @t214))) % 0.44/0.95 (assume @p65 (forall (@list @t219) (= (_ tptp.collec486369286Tree_a (lambda @t223 @t222)) @t219))) % 0.44/0.95 (assume @p66 (forall @t230 (=> (forall @t229 (= @t228 @t227)) (= @t213 @t225)))) % 0.44/0.95 (assume @p67 (forall (@list @t231) (not (forall @t202 (not (= @t231 @t201)))))) % 0.44/0.95 (assume @p68 (forall (@list @t232) (not (forall @t208 (not (= @t232 @t207)))))) % 0.44/0.95 (assume @p69 (forall @t99 (=> @t98 (not (=> @t95 (not @t92)))))) % 0.44/0.95 (assume @p70 (forall @t109 (=> @t108 (not (=> @t105 (not @t102)))))) % 0.44/0.95 (assume @p71 (forall (@list @t198 @t114) (=> @t203 (_ @t198 @t114)))) % 0.44/0.95 (assume @p72 (forall (@list @t204 @t111) (=> @t209 (_ @t204 @t111)))) % 0.44/0.95 (assume @p73 (forall @t238 (exists @t237 @t236))) % 0.44/0.95 (assume @p74 (forall @t244 (exists @t243 @t242))) % 0.44/0.95 (assume @p75 (forall @t247 (= (_ tptp.heapIm837449470Leaf_a @t246) (_ (_ tptp.produc686083979Tree_a (_ tptp.product_fst_a_Tree_a @t245)) (_ (_ @t38 (_ tptp.product_snd_a_Tree_a @t245)) @t141))))) % 0.44/0.95 (assume @p76 (forall (@list @t249 @t14 @t118 @t248) (=> (_ (_ @t249 @t14) @t118) (=> (= @t248 @t120) (_ (_ @t249 (_ tptp.product_fst_Tree_a_a @t248)) (_ tptp.product_snd_Tree_a_a @t248)))))) % 0.44/0.95 (assume @p77 (forall (@list @t250 @t122 @t57 @t212) (=> (_ (_ @t250 @t122) @t57) (=> (= @t212 @t124) (_ (_ @t250 (_ tptp.product_fst_a_Tree_a @t212)) (_ tptp.product_snd_a_Tree_a @t212)))))) % 0.44/0.95 (assume @p78 (forall (@list @t33 @t252 @t254 @t251) (=> (_ @t33 @t252) (=> (_ @t254 @t251) (and (_ @t33 (_ tptp.product_fst_Tree_a_a @t253)) (_ @t254 (_ tptp.product_snd_Tree_a_a @t253))))))) % 0.44/0.95 (assume @p79 (forall (@list @t210 @t256 @t258 @t255) (=> (_ @t210 @t256) (=> (_ @t258 @t255) (and (_ @t210 (_ tptp.product_fst_a_Tree_a @t257)) (_ @t258 (_ tptp.product_snd_a_Tree_a @t257))))))) % 0.44/0.95 (assume @p80 (forall (@list @t250 @t118 @t14) (=> (_ (_ @t250 @t118) @t14) (_ (_ @t250 @t121) @t172)))) % 0.44/0.95 (assume @p81 (forall (@list @t249 @t57 @t122) (=> (_ (_ @t249 @t57) @t122) (_ (_ @t249 @t125) @t171)))) % 0.44/0.95 (assume @p82 (forall (@list @t250 @t111) (=> @t260 (not (forall @t243 (not @t259)))))) % 0.44/0.95 (assume @p83 (forall (@list @t249 @t114) (=> @t262 (not (forall @t237 (not @t261)))))) % 0.44/0.95 (assume @p84 (forall @t263 (= (_ tptp.heapIm970322378pify_a @t70) (_ tptp.heapIm1091024090Down_a (_ (_ @t38 (_ tptp.heapIm970322378pify_a @t69)) (_ tptp.heapIm970322378pify_a @t68)))))) % 0.44/0.95 (assume @p85 (forall @t148 (= (_ tptp.is_heap_a @t147) @t268))) % 0.44/0.95 (assume @p86 (forall @t148 (= (_ tptp.is_heap_a @t149) @t268))) % 0.44/0.95 (assume @p87 (forall @t244 (= (_ tptp.produc1515207979Tree_a @t269) @t111))) % 0.44/0.95 (assume @p88 (forall @t238 (= (_ tptp.produc1478296771ee_a_a @t270) @t114))) % 0.44/0.95 (assume @p89 (forall (@list @t122 @t57) (= (_ tptp.produc1515207979Tree_a @t124) (_ @t129 @t122)))) % 0.44/0.95 (assume @p90 (forall (@list @t14 @t118) (= (_ tptp.produc1478296771ee_a_a @t120) (_ @t135 @t14)))) % 0.44/0.95 (assume @p91 (forall @t272 (= (_ tptp.product_fst_a_Tree_a @t271) @t128))) % 0.44/0.95 (assume @p92 (forall @t274 (= (_ tptp.product_fst_Tree_a_a @t273) @t134))) % 0.44/0.95 (assume @p93 (forall @t274 (= (_ tptp.product_snd_Tree_a_a @t273) @t173))) % 0.44/0.95 (assume @p94 (forall @t272 (= (_ tptp.product_snd_a_Tree_a @t271) @t174))) % 0.44/0.95 (assume @p95 (forall (@list @t58 @t37 @t69 @t68) (=> @t71 (exists (@list @t278 @t275 @t277) (and (= @t67 (_ (_ (_ tptp.t_a @t275) @t278) @t277)) (_ @t276 @t275)))))) % 0.44/0.95 (assume @p96 (= (_ tptp.heapIm970322378pify_a tptp.e_a) tptp.e_a)) % 0.44/0.95 (assume @p97 (forall @t62 (_ tptp.is_heap_a @t279))) % 0.44/0.95 (assume @p98 (forall @t155 (= (_ tptp.is_heap_a @t154) (and @t283 @t280 @t267 @t264)))) % 0.44/0.95 (assume @p99 (forall @t247 (= (_ tptp.is_heap_a @t246) (and @t267 @t264 @t283 @t280)))) % 0.44/0.95 (assume @p100 (forall (@list @t37 @t58) (=> (_ @t194 @t58) (=> @t284 (_ @t276 @t60))))) % 0.44/0.95 (assume @p101 (forall (@list @t122) (_ @t285 @t122))) % 0.44/0.95 (assume @p102 (forall @t291 (and (=> @t267 (= @t289 @t147)) (=> @t290 (= @t289 (_ @t288 tptp.e_a)))))) % 0.44/0.95 (assume @p103 (forall @t291 (and (=> @t267 (= @t292 @t149)) (=> @t290 (= @t292 (_ (_ @t287 tptp.e_a) @t286)))))) % 0.44/0.95 (assume @p104 (forall (@list @t140 @t139 @t138 @t152 @t151 @t150 @t37) (and (=> @t295 (and (=> @t283 @t294) (=> @t298 (= @t293 (_ (_ @t297 @t296) @t141))))) (=> (not @t295) (and (=> @t267 @t294) (=> @t290 (= @t293 (_ (_ @t287 @t153) @t286)))))))) % 0.44/0.95 (assume @p105 (forall (@list @t152 @t151 @t150 @t140 @t139 @t138 @t37) (and (=> @t301 (and (=> @t267 @t300) (=> @t290 (= @t299 (_ @t288 @t153))))) (=> (not @t301) (and (=> @t283 @t300) (=> @t298 (= @t299 (_ (_ @t297 @t141) @t296)))))))) % 0.44/0.95 (assume @p106 (forall @t263 (= (_ tptp.heapIm1140443833left_a @t70) @t69))) % 0.44/0.95 (assume @p107 (forall @t263 (= (_ tptp.heapIm1257206334ight_a @t70) @t68))) % 0.44/0.95 (assume @p108 (forall (@list @t101 @t94) (=> @t306 (=> @t304 @t302)))) % 0.44/0.95 (assume @p109 (= @t312 (lambda @t309 (and @t308 @t307)))) % 0.44/0.95 (assume @p110 (forall (@list @t101 @t94 @t313) (=> @t306 (=> (_ @t314 @t101) (_ @t314 @t94))))) % 0.44/0.95 (assume @p111 (forall (@list @t315 @t94 @t101) (=> (forall @t317 (=> (_ (_ tptp.ord_less_eq_a @t200) @t205) @t316)) (=> (forall @t317 (=> (_ (_ @t315 @t205) @t200) @t316)) (_ (_ @t315 @t94) @t101))))) % 0.44/0.95 (assume @p112 (forall (@list @t94) (_ @t303 @t94))) % 0.44/0.95 (assume @p113 (forall @t322 (=> @t321 (=> @t320 @t318)))) % 0.44/0.95 (assume @p114 (forall (@list @t94 @t101) (=> @t304 (=> @t306 @t302)))) % 0.44/0.95 (assume @p115 (forall @t324 (=> @t304 (=> (= @t101 @t313) @t323)))) % 0.44/0.95 (assume @p116 (forall @t324 (=> @t302 @t326))) % 0.44/0.95 (assume @p117 (= @t312 (lambda @t309 (and @t307 @t308)))) % 0.44/0.95 (assume @p118 (forall (@list @t118 @t122) (=> @t328 (= @t321 @t327)))) % 0.44/0.95 (assume @p119 (forall @t322 (=> (=> @t321 (not @t320)) (=> (=> @t328 (not @t318)) (=> (=> @t318 (not @t332)) (=> (=> @t332 (not @t328)) (=> (=> @t320 (not @t331)) (not (=> @t331 @t329))))))))) % 0.44/0.95 (assume @p120 (forall @t324 (=> @t304 @t326))) % 0.44/0.95 (assume @p121 (forall @t333 (=> @t329 @t328))) % 0.44/0.95 (assume @p122 (forall @t333 (=> @t327 @t321))) % 0.44/0.95 (assume @p123 (forall @t333 (or @t321 @t328))) % 0.44/0.95 (assume @p124 (forall @t333 (=> @t321 (=> @t328 @t327)))) % 0.44/0.95 (assume @p125 (= @t312 (lambda (@list @t215 @t334) (and (_ (_ tptp.ord_less_eq_a @t215) @t334) (_ (_ tptp.ord_less_eq_a @t334) @t215))))) % 0.44/0.95 (assume @p126 (forall @t339 (=> @t304 (=> (= @t338 @t313) @t337)))) % 0.44/0.95 (assume @p127 (forall @t341 (=> (= @t94 @t338) @t340))) % 0.44/0.95 (assume @p128 (forall @t339 (=> @t304 (=> (_ (_ tptp.ord_less_eq_a @t338) @t313) @t337)))) % 0.44/0.95 (assume @p129 (forall @t341 (=> (_ @t303 @t338) @t340))) % 0.44/0.95 (assume @p130 (forall @t354 (=> @t353 (=> @t349 (=> (_ tptp.is_heap_a (_ @t343 @t69)) (=> @t347 (_ tptp.is_heap_a (_ @t343 @t342)))))))) % 0.44/0.95 (assume @p131 (forall (@list @t352 @t348 @t351 @t350 @t343 @t344 @t58 @t345 @t355) (=> @t353 (=> (not (_ @t348 @t58)) (=> (= (_ @t346 @t355) (_ @t344 @t58)) (= @t345 (_ tptp.val_a (_ @t343 @t58)))))))) % 0.44/0.95 (assume @p132 (forall @t365 (= (_ (_ tptp.ord_le1327026842ee_a_o @t364) @t363) @t358))) % 0.44/0.95 (assume @p133 (forall @t374 (= (_ (_ tptp.ord_le1748873858_a_a_o @t373) @t372) (_ (_ tptp.ord_le864074675ee_a_a @t367) @t366)))) % 0.44/0.95 (assume @p134 (forall @t365 (= (= @t364 @t363) (= @t357 @t356)))) % 0.44/0.95 (assume @p135 (forall @t374 (= (= @t373 @t372) (= @t367 @t366)))) % 0.44/0.95 (assume @p136 (forall (@list @t378 @t315 @t375) (_ (_ (_ (_ (_ tptp.bNF_cs739966834Tree_a (_ tptp.collec486369286Tree_a (_ @t378 @t377))) tptp.product_snd_a_a) tptp.product_fst_a_Tree_a) (_ (_ tptp.bNF_fstOp_a_a_Tree_a @t315) @t375)) @t376))) % 0.44/0.95 (assume @p137 (forall (@list @t378 @t250 @t379) (_ (_ (_ (_ (_ tptp.bNF_cs1091007358Tree_a (_ tptp.collec486369286Tree_a (_ @t378 @t381))) tptp.product_snd_a_Tree_a) tptp.produc1206152067Tree_a) @t380) (_ (_ tptp.bNF_sn687175434Tree_a @t250) @t379)))) % 0.44/0.95 (assume @p138 (forall (@list @t383 @t250 @t382) (_ (_ (_ (_ (_ tptp.bNF_cs1095035134ee_a_a (_ tptp.collec645855634od_a_a (_ @t383 (_ (_ tptp.relcompp_a_Tree_a_a @t250) @t382)))) tptp.product_snd_a_Tree_a) tptp.product_fst_Tree_a_a) (_ (_ tptp.bNF_fstOp_a_Tree_a_a @t250) @t382)) (_ (_ tptp.bNF_sndOp_a_Tree_a_a @t250) @t382)))) % 0.44/0.95 (assume @p139 (forall (@list @t385 @t214 @t210) (=> @t389 (= (_ @t388 @t387) (forall @t218 (=> @t386 @t384)))))) % 0.44/0.95 (assume @p140 (forall (@list @t391 @t219 @t198) (=> @t395 (= (_ @t394 @t393) (forall @t223 (=> @t392 @t390)))))) % 0.44/0.95 (assume @p141 (forall (@list @t385 @t214 @t254 @t210) (=> @t389 (=> (forall @t400 (=> @t399 (=> @t397 @t396))) (_ (_ tptp.ord_less_eq_set_a (_ tptp.collect_a (lambda @t218 (and @t386 (_ @t254 @t215))))) @t387))))) % 0.44/0.95 (assume @p142 (forall (@list @t391 @t219 @t224 @t198) (=> @t395 (=> (forall @t229 (=> @t403 (=> @t227 @t228))) (_ (_ tptp.ord_le1013007387Tree_a (_ tptp.collec486369286Tree_a (lambda @t223 (and @t392 @t401)))) @t393))))) % 0.44/0.95 (assume @p143 (forall (@list @t405 @t404) (= (_ (_ tptp.ord_less_eq_a_o (lambda @t218 (_ @t216 @t405))) (lambda @t218 (_ @t216 @t404))) (_ (_ tptp.ord_less_eq_set_a @t405) @t404)))) % 0.44/0.95 (assume @p144 (forall @t365 (= (_ (_ tptp.ord_le1601593986ee_a_o (lambda @t223 (_ @t221 @t357))) (lambda @t223 (_ @t221 @t356))) @t358))) % 0.44/0.95 (assume @p145 (forall (@list @t407 @t406) (=> (forall @t237 (=> (_ @t408 @t407) (_ @t408 @t406))) (_ (_ tptp.ord_le1013007387Tree_a @t407) @t406)))) % 0.44/0.95 (assume @p146 (forall (@list @t410 @t409) (=> (forall @t243 (=> (_ @t411 @t410) (_ @t411 @t409))) (_ (_ tptp.ord_le864074675ee_a_a @t410) @t409)))) % 0.44/0.95 (assume @p147 (forall (@list @t214 @t385) (=> (forall @t400 (=> (_ @t398 @t214) @t399)) @t412))) % 0.44/0.95 (assume @p148 (forall (@list @t219 @t391) (=> (forall @t229 (=> (_ @t402 @t219) @t403)) @t414))) % 0.44/0.95 (assume @p149 (forall (@list @t415 @t210) (_ (_ tptp.ord_less_eq_set_a @t416) @t415))) % 0.44/0.95 (assume @p150 (forall (@list @t417 @t198) (_ (_ tptp.ord_le1013007387Tree_a @t418) @t417))) % 0.44/0.95 (assume @p151 (forall (@list @t420 @t422 @t357 @t419) (=> (_ (_ tptp.member254315204Tree_a (_ @t421 @t422)) @t357) (=> (= @t419 @t422) (_ (_ tptp.member254315204Tree_a (_ @t421 @t419)) @t357))))) % 0.44/0.95 (assume @p152 (forall (@list @t68 @t425 @t367 @t423) (=> (_ (_ tptp.member1092636252ee_a_a (_ @t424 @t425)) @t367) (=> (= @t423 @t425) (_ (_ tptp.member1092636252ee_a_a (_ @t424 @t423)) @t367))))) % 0.44/0.95 (assume @p153 (forall (@list @t214 @t385 @t122) (=> @t412 (=> @t427 (_ @t426 @t385))))) % 0.44/0.95 (assume @p154 (forall (@list @t219 @t391 @t133) (=> @t414 (=> @t429 (_ @t428 @t391))))) % 0.44/0.95 (assume @p155 (forall (@list @t214 @t385 @t313) (=> @t412 (=> (_ @t430 @t214) (_ @t430 @t385))))) % 0.44/0.95 (assume @p156 (forall (@list @t219 @t391 @t431) (=> @t414 (=> (_ @t432 @t219) (_ @t432 @t391))))) % 0.44/0.95 (assume @p157 (= tptp.ord_less_eq_set_a (lambda @t437 (forall (@list @t434) (=> (_ @t435 @t436) (_ @t435 @t433)))))) % 0.44/0.95 (assume @p158 (= tptp.ord_le1013007387Tree_a (lambda @t441 (forall (@list @t185) (=> (_ @t439 @t440) (_ @t439 @t438)))))) % 0.44/0.95 (assume @p159 (forall @t230 (=> (forall @t229 (=> @t228 @t227)) @t442))) % 0.44/0.95 (assume @p160 (forall @t230 (= @t442 (forall @t223 (=> @t390 @t401))))) % 0.44/0.95 (assume @p161 (forall (@list @t214 @t210) (_ (_ tptp.ord_less_eq_set_a @t387) @t214))) % 0.44/0.95 (assume @p162 (forall (@list @t219 @t198) (_ (_ tptp.ord_le1013007387Tree_a @t393) @t219))) % 0.44/0.95 (assume @p163 (= tptp.ord_less_eq_set_a (lambda @t437 (_ (_ tptp.ord_less_eq_a_o (lambda @t218 @t444)) (lambda @t218 @t443))))) % 0.44/0.95 (assume @p164 (= tptp.ord_le1013007387Tree_a (lambda @t441 (_ (_ tptp.ord_le1601593986ee_a_o (lambda @t223 @t446)) (lambda @t223 @t445))))) % 0.44/0.95 (assume @p165 (forall (@list @t122 @t448 @t415 @t210) (=> (_ @t426 @t448) (=> (_ (_ tptp.ord_less_eq_set_a @t448) @t416) @t447)))) % 0.44/0.95 (assume @p166 (forall (@list @t133 @t449 @t417 @t198) (=> (_ @t428 @t449) (=> (_ (_ tptp.ord_le1013007387Tree_a @t449) @t418) (_ @t198 @t133))))) % 0.44/0.95 (assume @p167 (forall (@list @t219 @t198 @t224) (= (_ @t413 (_ tptp.collec486369286Tree_a (lambda @t223 (and @t390 @t401)))) (and (_ @t413 @t213) (_ @t413 @t225))))) % 0.44/0.95 (assume @p168 (forall (@list @t101 @t335 @t122 @t451 @t450 @t214) (=> (= @t101 @t453) (=> (= @t451 (_ @t450 @t122)) (=> @t427 (_ @t452 (_ (_ (_ tptp.bNF_Gr651645592Tree_a @t214) @t335) @t450))))))) % 0.44/0.95 (assume @p169 (forall (@list @t101 @t455 @t133 @t451 @t454 @t219) (=> (= @t101 (_ @t455 @t133)) (=> (= @t451 @t456) (=> @t429 (_ @t452 (_ (_ (_ tptp.bNF_Gr2042500789Tree_a @t219) @t455) @t454))))))) % 0.44/0.95 (assume @p170 (forall (@list @t91 @t458 @t122 @t313 @t457 @t214) (=> (= @t91 (_ @t458 @t122)) (=> (= @t313 (_ @t457 @t122)) (=> @t427 (_ @t459 (_ (_ (_ tptp.bNF_Gr614734384ee_a_a @t214) @t458) @t457))))))) % 0.44/0.95 (assume @p171 (forall (@list @t91 @t461 @t133 @t313 @t460 @t219) (=> (= @t91 (_ @t461 @t133)) (=> (= @t313 (_ @t460 @t133)) (=> @t429 (_ @t459 (_ (_ (_ tptp.bNF_Gr2005589581ee_a_a @t219) @t461) @t460))))))) % 0.44/0.95 (assume @p172 (forall (@list @t210 @t122 @t254) (=> @t447 (=> @t464 (=> (forall @t400 (=> @t396 (=> (forall (@list @t463) (=> (_ @t210 @t463) (_ (_ tptp.ord_less_eq_a @t463) @t234))) @t397))) (_ @t254 @t462)))))) % 0.44/0.95 (assume @p173 (forall (@list @t210 @t122) (=> @t447 (=> @t464 (= @t462 @t122))))) % 0.44/0.95 (assume @p174 (forall @t62 (= (_ tptp.multiset_a2 @t67) @t465))) % 0.44/0.95 (assume @p175 (forall @t354 (=> @t353 (=> @t349 (=> @t347 (= (_ (_ tptp.add_mset_a @t345) (_ @t350 @t342)) (_ @t350 @t69))))))) % 0.44/0.95 (assume @p176 (forall @t62 (= (_ tptp.multiset_a2 @t279) @t465))) % 0.44/0.95 (assume @p177 (forall (@list @t350 @t343 @t351 @t348 @t344) (=> (forall (@list @t472) (= @t477 (_ tptp.multiset_a2 @t474))) (=> (forall (@list @t478) (_ tptp.is_heap_a (_ @t343 (_ @t351 @t478)))) (=> (forall (@list @t466) (= (= @t467 tptp.e_a) @t471)) (=> (forall @t476 (=> @t475 (=> @t473 (= (_ (_ tptp.add_mset_a @t468) (_ @t350 @t278)) @t477)))) (=> (forall @t476 (=> @t475 (=> (_ tptp.is_heap_a @t474) (=> @t473 (_ tptp.is_heap_a (_ @t343 @t278)))))) (=> (forall (@list @t466 @t468 @t469) (=> (not @t471) (=> (= (_ @t470 @t469) (_ @t344 @t466)) (= @t468 (_ tptp.val_a @t467))))) (_ (_ (_ (_ (_ tptp.heap_axioms_Tree_a_a @t348) @t351) @t350) @t343) @t344))))))))) % 0.44/0.95 (assume @p178 (forall (@list @t94 @t58) (=> (_ @t211 @t479) (=> @t284 (_ @t303 @t60))))) % 0.44/0.95 (assume @p179 (forall @t486 (= @t485 (not (and @t192 (not @t482)))))) % 0.44/0.95 (assume @p180 (forall @t492 (= @t491 (not (and @t192 (not @t488)))))) % 0.44/0.95 (assume @p181 (forall @t498 (= @t497 (not (and @t191 (not @t494)))))) % 0.44/0.95 (assume @p182 (forall @t504 (= @t503 (not (and @t192 (not @t500)))))) % 0.44/0.95 (assume @p183 (forall @t486 (= @t485 (=> @t192 @t482)))) % 0.44/0.95 (assume @p184 (forall @t492 (= @t491 (=> @t192 @t488)))) % 0.44/0.95 (assume @p185 (forall @t498 (= @t497 (=> @t191 @t494)))) % 0.44/0.95 (assume @p186 (forall @t504 (= @t503 (=> @t192 @t500)))) % 0.44/0.95 (assume @p187 (forall (@list @t126 @t505 @t94 @t91) (=> (_ @t507 (_ (_ @t505 @t94) @t91)) (_ @t507 (_ @t506 @t97))))) % 0.44/0.95 (assume @p188 (forall (@list @t510 @t508 @t94 @t91) (=> (_ @t511 (_ (_ @t508 @t94) @t91)) (_ @t511 (_ @t509 @t97))))) % 0.44/0.95 (assume @p189 (forall (@list @t126 @t512 @t104 @t101) (=> (_ @t507 (_ (_ @t512 @t104) @t101)) (_ @t507 (_ @t513 @t107))))) % 0.44/0.95 (assume @p190 (forall (@list @t510 @t514 @t104 @t101) (=> (_ @t511 (_ (_ @t514 @t104) @t101)) (_ @t511 (_ @t515 @t107))))) % 0.44/0.95 (assume @p191 (forall (@list @t114 @t126 @t505) (=> (forall @t202 (=> @t517 (_ @t507 (_ (_ @t505 @t200) @t199)))) @t516))) % 0.44/0.95 (assume @p192 (forall (@list @t114 @t510 @t508) (=> (forall @t202 (=> @t517 (_ @t511 (_ (_ @t508 @t200) @t199)))) @t518))) % 0.44/0.95 (assume @p193 (forall (@list @t111 @t126 @t512) (=> (forall @t208 (=> @t520 (_ @t507 (_ (_ @t512 @t206) @t205)))) @t519))) % 0.44/0.95 (assume @p194 (forall (@list @t111 @t510 @t514) (=> (forall @t208 (=> @t520 (_ @t511 (_ (_ @t514 @t206) @t205)))) @t521))) % 0.44/0.95 (assume @p195 (forall @t526 (=> @t525 @t524))) % 0.44/0.95 (assume @p196 (forall @t529 (=> @t528 @t527))) % 0.44/0.95 (assume @p197 (forall (@list @t111 @t530) (=> (forall @t208 (=> @t520 (_ (_ @t530 @t206) @t205))) @t531))) % 0.44/0.95 (assume @p198 (forall (@list @t114 @t532) (=> (forall @t202 (=> @t517 (_ (_ @t532 @t200) @t199))) @t533))) % 0.44/0.95 (assume @p199 (forall @t529 (= @t527 @t528))) % 0.44/0.95 (assume @p200 (forall (@list @t487 @t94 @t91) (= (_ @t489 @t97) (_ (_ @t487 @t94) @t91)))) % 0.44/0.95 (assume @p201 (forall (@list @t493 @t104 @t101) (= (_ @t495 @t107) (_ (_ @t493 @t104) @t101)))) % 0.44/0.95 (assume @p202 (forall (@list @t499 @t94 @t91) (= (_ @t501 @t97) (_ (_ @t499 @t94) @t91)))) % 0.44/0.95 (assume @p203 (forall (@list @t480 @t114) (= (_ (_ tptp.produc1587316832_a_a_o (lambda @t535 (_ (_ @t480 @t215) @t359))) @t270) @t534))) % 0.44/0.95 (assume @p204 (forall (@list @t487 @t114) (= (_ (_ tptp.produc433477818Tree_a (lambda @t535 (_ (_ @t487 @t215) @t359))) @t270) @t536))) % 0.44/0.95 (assume @p205 (forall (@list @t493 @t111) (= (_ (_ tptp.produc493188987Tree_a (lambda @t538 (_ (_ @t493 @t368) @t334))) @t269) @t537))) % 0.44/0.95 (assume @p206 (forall (@list @t499 @t114) (= (_ (_ tptp.produc1207340411ee_a_a (lambda @t535 (_ (_ @t499 @t215) @t359))) @t270) @t539))) % 0.44/0.95 (assume @p207 (forall (@list @t522 @t111) (= (_ (_ tptp.produc1673233912ee_a_o (lambda @t538 (_ (_ @t522 @t368) @t334))) @t269) (_ @t523 @t111)))) % 0.44/0.95 (assume @p208 (forall (@list @t540 @t111) (= (_ (_ tptp.produc873356882Tree_a (lambda @t538 (_ (_ @t540 @t368) @t334))) @t269) (_ (_ tptp.produc433477818Tree_a @t540) @t111)))) % 0.44/0.95 (assume @p209 (forall (@list @t541 @t114) (= (_ (_ tptp.produc369019363Tree_a (lambda @t535 (_ (_ @t541 @t215) @t359))) @t270) (_ (_ tptp.produc493188987Tree_a @t541) @t114)))) % 0.44/0.95 (assume @p210 (forall (@list @t542 @t111) (= (_ (_ tptp.produc1331510035ee_a_a (lambda @t538 (_ (_ @t542 @t368) @t334))) @t269) (_ (_ tptp.produc1207340411ee_a_a @t542) @t111)))) % 0.44/0.95 (assume @p211 (forall (@list @t127 @t543) (=> (_ (_ tptp.member1092636252ee_a_a @t127) (_ tptp.collec1324690334ee_a_a (_ tptp.produc1587316832_a_a_o @t543))) (_ (_ @t543 @t174) @t128)))) % 0.44/0.95 (assume @p212 (forall (@list @t133 @t544) (=> (_ @t428 @t545) (_ (_ @t544 @t173) @t134)))) % 0.44/0.95 (assume @p213 (forall (@list @t549 @t480 @t161) (= (_ @t549 @t484) (_ (_ tptp.produc1673233912ee_a_o (lambda @t550 (_ @t549 @t548))) @t161)))) % 0.44/0.95 (assume @p214 (forall (@list @t551 @t480 @t161) (= (_ @t551 @t484) (_ (_ tptp.produc873356882Tree_a (lambda @t550 (_ @t551 @t548))) @t161)))) % 0.44/0.95 (assume @p215 (forall (@list @t552 @t480 @t161) (= (_ @t552 @t484) (_ (_ tptp.produc1331510035ee_a_a (lambda @t550 (_ @t552 @t548))) @t161)))) % 0.44/0.95 (assume @p216 (forall (@list @t554 @t487 @t161) (= (_ @t554 @t490) (_ (_ tptp.produc1673233912ee_a_o (lambda @t550 (_ @t554 @t553))) @t161)))) % 0.44/0.95 (assume @p217 (forall (@list @t555 @t487 @t161) (= (_ @t555 @t490) (_ (_ tptp.produc873356882Tree_a (lambda @t550 (_ @t555 @t553))) @t161)))) % 0.44/0.95 (assume @p218 (forall (@list @t556 @t487 @t161) (= (_ @t556 @t490) (_ (_ tptp.produc1331510035ee_a_a (lambda @t550 (_ @t556 @t553))) @t161)))) % 0.44/0.95 (assume @p219 (forall (@list @t559 @t493 @t156) (= (_ @t559 @t496) (_ (_ tptp.produc369019363Tree_a (lambda @t560 (_ @t559 (_ (_ @t493 @t558) @t557)))) @t156)))) % 0.44/0.95 (assume @p220 (forall (@list @t562 @t499 @t161) (= (_ @t562 @t502) (_ (_ tptp.produc1673233912ee_a_o (lambda @t550 (_ @t562 @t561))) @t161)))) % 0.44/0.95 (assume @p221 (forall (@list @t563 @t499 @t161) (= (_ @t563 @t502) (_ (_ tptp.produc873356882Tree_a (lambda @t550 (_ @t563 @t561))) @t161)))) % 0.44/0.95 (assume @p222 (forall (@list @t564 @t499 @t161) (= (_ @t564 @t502) (_ (_ tptp.produc1331510035ee_a_a (lambda @t550 (_ @t564 @t561))) @t161)))) % 0.44/0.95 (assume @p223 (forall (@list @t530 @t111) (=> @t531 (not (forall @t243 (=> @t242 (not (_ (_ @t530 @t240) @t239)))))))) % 0.44/0.95 (assume @p224 (forall (@list @t532 @t114) (=> @t533 (not (forall @t237 (=> @t236 (not (_ (_ @t532 @t234) @t233)))))))) % 0.44/0.95 (assume @p225 (forall @t526 (=> @t524 @t525))) % 0.44/0.95 (assume @p226 (forall @t529 (=> @t527 @t528))) % 0.44/0.95 (assume @p227 (forall (@list @t480 @t77 @t75) (= (_ @t483 @t80) (_ (_ @t480 @t77) @t75)))) % 0.44/0.95 (assume @p228 (forall (@list @t487 @t77 @t75) (= (_ @t489 @t80) (_ (_ @t487 @t77) @t75)))) % 0.44/0.95 (assume @p229 (forall (@list @t493 @t88 @t86) (= (_ @t495 @t89) (_ (_ @t493 @t88) @t86)))) % 0.44/0.95 (assume @p230 (forall (@list @t499 @t77 @t75) (= (_ @t501 @t80) (_ (_ @t499 @t77) @t75)))) % 0.44/0.95 (assume @p231 (forall (@list @t126 @t505 @t114) (=> @t516 (not (forall @t237 (=> @t236 (not (_ @t507 (_ (_ @t505 @t234) @t233))))))))) % 0.44/0.95 (assume @p232 (forall (@list @t510 @t508 @t114) (=> @t518 (not (forall @t237 (=> @t236 (not (_ @t511 (_ (_ @t508 @t234) @t233))))))))) % 0.44/0.95 (assume @p233 (forall (@list @t126 @t512 @t111) (=> @t519 (not (forall @t243 (=> @t242 (not (_ @t507 (_ (_ @t512 @t240) @t239))))))))) % 0.44/0.95 (assume @p234 (forall (@list @t510 @t514 @t111) (=> @t521 (not (forall @t243 (=> @t242 (not (_ @t511 (_ (_ @t514 @t240) @t239))))))))) % 0.44/0.95 (assume @p235 (= tptp.product_snd_a_Tree_a (_ tptp.produc873356882Tree_a (lambda @t550 @t546)))) % 0.44/0.95 (assume @p236 (= tptp.product_fst_a_Tree_a @t566)) % 0.44/0.95 (assume @p237 (= tptp.product_fst_Tree_a_a (_ tptp.produc433477818Tree_a (lambda @t560 @t558)))) % 0.44/0.95 (assume @p238 (forall (@list @t567 @t250 @t510) (=> (_ @t567 (_ @t569 @t510)) (not (forall @t237 (=> @t568 (not (_ @t567 (_ (_ @t250 @t234) @t233))))))))) % 0.44/0.95 (assume @p239 (forall (@list @t258 @t570 @t510) (=> (_ @t258 (_ (_ tptp.produc873356882Tree_a @t570) @t510)) (not (forall @t237 (=> @t568 (not (_ @t258 (_ (_ @t570 @t234) @t233))))))))) % 0.44/0.95 (assume @p240 (forall (@list @t224 @t571 @t572) (=> (_ @t224 (_ (_ tptp.produc369019363Tree_a @t571) @t572)) (not (forall @t243 (=> (= @t572 @t241) (not (_ @t224 (_ (_ @t571 @t240) @t239))))))))) % 0.44/0.95 (assume @p241 (forall (@list @t574 @t573 @t510) (=> (_ @t574 (_ (_ tptp.produc1331510035ee_a_a @t573) @t510)) (not (forall @t237 (=> @t568 (not (_ @t574 (_ (_ @t573 @t234) @t233))))))))) % 0.44/0.95 (assume @p242 (forall @t576 (= (_ tptp.produc1673233912ee_a_o (lambda @t362 (_ @t575 @t360))) @t575))) % 0.44/0.95 (assume @p243 (forall @t577 (= (_ tptp.produc873356882Tree_a (lambda @t362 (_ @t461 @t360))) @t461))) % 0.44/0.95 (assume @p244 (forall @t579 (= (_ tptp.produc369019363Tree_a (lambda @t371 (_ @t578 @t369))) @t578))) % 0.44/0.95 (assume @p245 (forall @t581 (= (_ tptp.produc1331510035ee_a_a (lambda @t362 (_ @t580 @t360))) @t580))) % 0.44/0.95 (assume @p246 (forall (@list @t480 @t582) (=> (forall @t237 (= @t583 (_ @t582 @t235))) (= @t483 @t582)))) % 0.44/0.95 (assume @p247 (forall (@list @t487 @t454) (=> (forall @t237 (= @t584 (_ @t454 @t235))) (= @t489 @t454)))) % 0.44/0.95 (assume @p248 (forall (@list @t493 @t585) (=> (forall @t243 (= @t586 (_ @t585 @t241))) (= @t495 @t585)))) % 0.44/0.95 (assume @p249 (forall (@list @t499 @t587) (=> (forall @t237 (= @t588 (_ @t587 @t235))) (= @t501 @t587)))) % 0.44/0.95 (assume @p250 (forall @t238 (= (_ (_ tptp.produc493188987Tree_a tptp.produc686083979Tree_a) @t114) @t114))) % 0.44/0.95 (assume @p251 (forall @t244 (= (_ (_ tptp.produc1207340411ee_a_a tptp.produc649172771ee_a_a) @t111) @t111))) % 0.44/0.95 (assume @p252 (forall (@list @t544 @t589) (=> (_ (_ tptp.ord_le1327026842ee_a_o @t544) @t589) (_ (_ tptp.ord_le1013007387Tree_a @t545) (_ tptp.collec486369286Tree_a (_ tptp.produc1673233912ee_a_o @t589)))))) % 0.44/0.95 (assume @p253 (= tptp.produc1673233912ee_a_o (lambda (@list @t593 @t590) (_ (_ @t593 @t592) @t591)))) % 0.44/0.95 (assume @p254 (= tptp.produc873356882Tree_a (lambda (@list @t594 @t590) (_ (_ @t594 @t592) @t591)))) % 0.44/0.95 (assume @p255 (= tptp.produc369019363Tree_a (lambda (@list @t598 @t595) (_ (_ @t598 @t597) @t596)))) % 0.44/0.95 (assume @p256 (= tptp.produc1331510035ee_a_a (lambda (@list @t599 @t590) (_ (_ @t599 @t592) @t591)))) % 0.44/0.95 (assume @p257 (= tptp.produc1405823650ee_a_o tptp.produc1673233912ee_a_o)) % 0.44/0.95 (assume @p258 (= tptp.produc534868220Tree_a tptp.produc873356882Tree_a)) % 0.44/0.95 (assume @p259 (= tptp.produc126329485Tree_a tptp.produc369019363Tree_a)) % 0.44/0.95 (assume @p260 (= tptp.produc1088820157ee_a_a tptp.produc1331510035ee_a_a)) % 0.44/0.95 (assume @p261 (forall (@list @t600 @t250 @t379) (=> (_ @t601 (_ tptp.collec486369286Tree_a (_ tptp.produc1673233912ee_a_o @t381))) (_ (_ tptp.member254315204Tree_a (_ @t380 @t600)) (_ tptp.collec486369286Tree_a @t569))))) % 0.44/0.95 (assume @p262 (forall (@list @t600 @t315 @t375) (=> (_ @t601 (_ tptp.collec486369286Tree_a (_ tptp.produc1673233912ee_a_o @t377))) (_ (_ tptp.member254315204Tree_a (_ @t376 @t600)) (_ tptp.collec486369286Tree_a @t602))))) % 0.44/0.95 (assume @p263 (= tptp.produc1673233912ee_a_o (lambda (@list @t593 @t220) (_ (_ @t593 @t604) @t603)))) % 0.44/0.95 (assume @p264 (= tptp.produc873356882Tree_a (lambda (@list @t594 @t220) (_ (_ @t594 @t604) @t603)))) % 0.44/0.95 (assume @p265 (= tptp.produc369019363Tree_a (lambda (@list @t598 @t605) (_ (_ @t598 (_ tptp.product_fst_Tree_a_a @t605)) (_ tptp.product_snd_Tree_a_a @t605))))) % 0.44/0.95 (assume @p266 (= tptp.produc1331510035ee_a_a (lambda (@list @t599 @t220) (_ (_ @t599 @t604) @t603)))) % 0.44/0.95 (assume @p267 (= tptp.produc1673233912ee_a_o (lambda (@list @t606 @t590) (_ (_ @t606 @t592) @t591)))) % 0.44/0.95 (assume @p268 (= tptp.produc873356882Tree_a (lambda (@list @t607 @t590) (_ (_ @t607 @t592) @t591)))) % 0.44/0.95 (assume @p269 (= tptp.produc369019363Tree_a (lambda (@list @t608 @t595) (_ (_ @t608 @t597) @t596)))) % 0.44/0.95 (assume @p270 (= tptp.produc1331510035ee_a_a (lambda (@list @t609 @t590) (_ (_ @t609 @t592) @t591)))) % 0.44/0.95 (assume @p271 (forall (@list @t249 @t114 @t567 @t480) (=> @t262 (=> (forall @t237 (=> @t261 (_ @t567 @t583))) (_ @t567 @t534))))) % 0.44/0.95 (assume @p272 (forall (@list @t249 @t114 @t258 @t487) (=> @t262 (=> (forall @t237 (=> @t261 (_ @t258 @t584))) (_ @t258 @t536))))) % 0.44/0.95 (assume @p273 (forall (@list @t250 @t111 @t224 @t493) (=> @t260 (=> (forall @t243 (=> @t259 (_ @t224 @t586))) (_ @t224 @t537))))) % 0.44/0.95 (assume @p274 (forall (@list @t249 @t114 @t574 @t499) (=> @t262 (=> (forall @t237 (=> @t261 (_ @t574 @t588))) (_ @t574 @t539))))) % 0.44/0.95 (assume @p275 (forall (@list @t177 @t480 @t610 @t114) (=> (forall @t237 (=> @t611 (= @t583 (_ (_ @t610 @t234) @t233)))) (=> @t178 (= @t534 (_ (_ tptp.produc1673233912ee_a_o @t610) @t177)))))) % 0.44/0.95 (assume @p276 (forall (@list @t177 @t487 @t612 @t114) (=> (forall @t237 (=> @t611 (= @t584 (_ (_ @t612 @t234) @t233)))) (=> @t178 (= @t536 (_ (_ tptp.produc873356882Tree_a @t612) @t177)))))) % 0.44/0.95 (assume @p277 (forall (@list @t175 @t493 @t613 @t111) (=> (forall @t243 (=> (= @t241 @t175) (= @t586 (_ (_ @t613 @t240) @t239)))) (=> @t176 (= @t537 (_ (_ tptp.produc369019363Tree_a @t613) @t175)))))) % 0.44/0.95 (assume @p278 (forall (@list @t177 @t499 @t614 @t114) (=> (forall @t237 (=> @t611 (= @t588 (_ (_ @t614 @t234) @t233)))) (=> @t178 (= @t539 (_ (_ tptp.produc1331510035ee_a_a @t614) @t177)))))) % 0.44/0.95 (assume @p279 (forall @t62 (=> @t61 (=> @t284 (= @t60 (_ tptp.lattic146396397_Max_a @t479)))))) % 0.44/0.95 (assume @p280 (forall (@list @t480) (= (_ tptp.produc1291432345ee_a_o @t483) @t480))) % 0.44/0.95 (assume @p281 (forall (@list @t487) (= (_ tptp.produc740705523Tree_a @t489) @t487))) % 0.44/0.95 (assume @p282 (forall (@list @t493) (= (_ tptp.produc1808426884Tree_a @t495) @t493))) % 0.44/0.95 (assume @p283 (forall (@list @t499) (= (_ tptp.produc623433908ee_a_a @t501) @t499))) % 0.44/0.95 (assume @p284 (forall @t618 (=> @t617 @t616))) % 0.44/0.95 (assume @p285 (forall @t622 (=> @t621 @t620))) % 0.44/0.95 (assume @p286 (forall (@list @t624 @t375) (= (_ tptp.produc1673233912ee_a_o (lambda (@list @t113 @t167) (and @t624 (_ (_ @t375 @t113) @t167)))) (lambda (@list @t623) (and @t624 (_ @t602 @t623)))))) % 0.44/0.95 (assume @p287 (forall @t576 (= (_ tptp.produc1673233912ee_a_o @t615) @t575))) % 0.44/0.95 (assume @p288 (forall @t577 (= (_ tptp.produc873356882Tree_a (_ tptp.produc740705523Tree_a @t461)) @t461))) % 0.44/0.95 (assume @p289 (forall @t579 (= (_ tptp.produc369019363Tree_a (_ tptp.produc1808426884Tree_a @t578)) @t578))) % 0.44/0.95 (assume @p290 (forall @t581 (= (_ tptp.produc1331510035ee_a_a (_ tptp.produc623433908ee_a_a @t580)) @t580))) % 0.44/0.95 (assume @p291 (forall @t165 (_ (_ tptp.produc1673233912ee_a_o (lambda (@list (@var "Uu2" tptp.a) (@var "Uv2" tptp.tree_a)) true)) @t161))) % 0.44/0.95 (assume @p292 (forall @t618 (=> @t616 @t617))) % 0.44/0.95 (assume @p293 (forall @t622 (=> @t620 @t621))) % 0.44/0.95 (assume @p294 (= tptp.product_fst_a_Tree_a (_ (_ tptp.comp_P342079405Tree_a tptp.product_snd_Tree_a_a) @t625))) % 0.44/0.95 (assume @p295 (= tptp.product_fst_Tree_a_a (_ (_ tptp.comp_P1663859001ee_a_a tptp.product_snd_a_Tree_a) @t626))) % 0.44/0.95 (assume @p296 (= tptp.product_snd_Tree_a_a (_ (_ tptp.comp_P1103783853ee_a_a tptp.product_fst_a_Tree_a) @t626))) % 0.44/0.95 (assume @p297 (= tptp.product_snd_a_Tree_a (_ (_ tptp.comp_P228269369Tree_a tptp.product_fst_Tree_a_a) @t625))) % 0.44/0.95 (assume @p298 (forall (@list @t250 @t379) (= tptp.product_fst_a_Tree_a (_ @t627 @t380)))) % 0.44/0.95 (assume @p299 (forall (@list @t249 @t628) (= tptp.product_fst_Tree_a_a (_ @t629 (_ (_ tptp.bNF_fstOp_Tree_a_a_a @t249) @t628))))) % 0.44/0.95 (assume @p300 (forall (@list @t315 @t375) (= tptp.product_snd_a_Tree_a (_ @t630 @t376)))) % 0.44/0.95 (assume @p301 (forall (@list @t461 @t585 @t127 @t632 @t631) (=> (= (_ @t461 (_ @t585 @t127)) (_ @t632 (_ @t631 @t127))) (= (_ (_ (_ tptp.comp_P1663859001ee_a_a @t461) @t585) @t127) (_ (_ (_ tptp.comp_P1663859001ee_a_a @t632) @t631) @t127))))) % 0.44/0.95 (assume @p302 (forall (@list @t635 @t587 @t133 @t563 @t633) (=> (= @t638 @t637) (= @t636 @t634)))) % 0.44/0.95 (assume @p303 (forall (@list @t635 @t587 @t133 @t632 @t639) (=> (= @t638 @t641) (= @t636 @t640)))) % 0.44/0.95 (assume @p304 (forall (@list @t635 @t587 @t133 @t555 @t642) (=> (= @t638 @t644) (= @t636 @t643)))) % 0.44/0.95 (assume @p305 (forall (@list @t461 @t645 @t133 @t563 @t633) (=> (= @t647 @t637) (= @t646 @t634)))) % 0.44/0.95 (assume @p306 (forall (@list @t461 @t645 @t133 @t632 @t639) (=> (= @t647 @t641) (= @t646 @t640)))) % 0.44/0.95 (assume @p307 (forall (@list @t461 @t645 @t133 @t555 @t642) (=> (= @t647 @t644) (= @t646 @t643)))) % 0.44/0.95 (assume @p308 (forall (@list @t648 @t454 @t133 @t563 @t633) (=> (= @t651 @t637) (= @t650 @t634)))) % 0.44/0.95 (assume @p309 (forall (@list @t648 @t454 @t133 @t632 @t639) (=> (= @t651 @t641) (= @t650 @t640)))) % 0.44/0.95 (assume @p310 (forall (@list @t648 @t454 @t133 @t555 @t642) (=> (= @t651 @t644) (= @t650 @t643)))) % 0.44/0.95 (assume @p311 (forall @t653 (= (_ @t630 @t652) (_ @t649 tptp.product_snd_a_Tree_a)))) % 0.44/0.95 (assume @p312 (forall @t655 (= (_ @t627 @t654) (_ (_ tptp.comp_a608639864Tree_a @t335) tptp.product_fst_a_Tree_a)))) % 0.44/0.95 (assume @p313 (forall @t653 (= (_ @t629 @t656) (_ (_ tptp.comp_T1074491280ee_a_a @t648) tptp.product_fst_Tree_a_a)))) % 0.44/0.95 (assume @p314 (forall (@list @t648 @t14 @t118) (= (_ @t656 @t120) (_ (_ tptp.produc649172771ee_a_a (_ @t648 @t14)) @t118)))) % 0.44/0.95 (assume @p315 (forall (@list @t335 @t122 @t57) (= (_ @t654 @t124) (_ (_ tptp.produc686083979Tree_a @t453) @t57)))) % 0.44/0.95 (assume @p316 (forall (@list @t335 @t14 @t118) (= (_ @t657 @t120) (_ @t119 (_ @t335 @t118))))) % 0.44/0.95 (assume @p317 (forall (@list @t648 @t122 @t57) (= (_ @t652 @t124) (_ @t123 (_ @t648 @t57))))) % 0.44/0.95 (assume @p318 (forall @t660 (= (_ tptp.product_fst_a_Tree_a @t659) @t658))) % 0.44/0.95 (assume @p319 (forall (@list @t648 @t127) (= (_ tptp.product_fst_Tree_a_a (_ @t656 @t127)) @t661))) % 0.44/0.95 (assume @p320 (forall (@list @t335 @t133 @t457) (= (= @t659 @t663) (= @t658 @t662)))) % 0.44/0.95 (assume @p321 (forall @t660 (= (_ tptp.product_snd_a_Tree_a @t659) @t134))) % 0.44/0.95 (assume @p322 (forall @t665 (= (_ tptp.product_fst_a_Tree_a @t664) @t173))) % 0.44/0.95 (assume @p323 (forall (@list @t335 @t127) (= (_ tptp.product_fst_Tree_a_a (_ @t657 @t127)) @t174))) % 0.44/0.95 (assume @p324 (forall (@list @t648 @t133 @t666) (= (= @t664 @t669) (= @t668 @t667)))) % 0.44/0.95 (assume @p325 (forall @t665 (= (_ tptp.product_snd_a_Tree_a @t664) @t668))) % 0.44/0.95 (assume @p326 (forall @t655 (= (_ @t630 @t654) tptp.product_snd_a_Tree_a))) % 0.44/0.95 (assume @p327 (forall @t653 (= (_ @t627 @t652) tptp.product_fst_a_Tree_a))) % 0.44/0.95 (assume @p328 (forall @t655 (= (_ @t629 @t657) tptp.product_fst_Tree_a_a))) % 0.44/0.95 (assume @p329 (forall (@list @t670 @t450 @t127) (= (_ (_ tptp.produc606383786Tree_a @t670) (_ (_ tptp.produc1296751488Tree_a @t450) @t127)) (_ (_ tptp.produc686083979Tree_a (_ @t670 @t174)) (_ @t450 @t128))))) % 0.44/0.95 (assume @p330 (forall (@list @t648 @t457 @t127) (= (_ @t656 (_ (_ tptp.produc969245172Tree_a @t457) @t127)) (_ (_ tptp.produc649172771ee_a_a @t661) (_ @t457 @t128))))) % 0.44/0.95 (assume @p331 (forall (@list @t458 @t671 @t133) (= (_ (_ tptp.produc1070656334ee_a_a @t458) (_ (_ tptp.produc21534708_a_a_a @t671) @t133)) (_ (_ tptp.produc649172771ee_a_a (_ @t458 @t173)) (_ @t671 @t134))))) % 0.44/0.95 (assume @p332 (forall (@list @t335 @t666 @t133) (= (_ @t654 @t669) (_ (_ tptp.produc686083979Tree_a @t658) @t667)))) % 0.44/0.95 (assume @p333 (forall (@list @t458 @t671 @t127) (= (_ (_ tptp.produc932333964ee_a_a @t458) (_ (_ tptp.produc159857078_a_a_a @t671) @t127)) (_ (_ tptp.produc686083979Tree_a (_ @t671 @t174)) (_ @t458 @t128))))) % 0.44/0.95 (assume @p334 (forall (@list @t335 @t666 @t127) (= (_ @t657 (_ (_ tptp.produc569472578ee_a_a @t666) @t127)) (_ (_ tptp.produc649172771ee_a_a (_ @t666 @t174)) (_ @t335 @t128))))) % 0.44/0.95 (assume @p335 (forall (@list @t670 @t450 @t133) (= (_ (_ tptp.produc856872424Tree_a @t670) (_ (_ tptp.produc1046262850Tree_a @t450) @t133)) (_ (_ tptp.produc649172771ee_a_a (_ @t450 @t173)) (_ @t670 @t134))))) % 0.44/0.95 (assume @p336 (forall (@list @t648 @t457 @t133) (= (_ @t652 @t663) (_ (_ tptp.produc686083979Tree_a @t662) @t668)))) % 0.44/0.95 (assume @p337 (forall (@list @t648 @t666 @t133) (= (_ @t652 @t669) (_ (_ tptp.produc819961216ee_a_a (_ (_ tptp.comp_T59512783Tree_a @t648) @t666)) @t133)))) % 0.44/0.95 (assume @p338 (forall (@list @t624) (or (= @t624 true) (= @t624 false)))) % 0.44/0.95 (assume @p339 (forall @t672 (= (_ (_ (_ tptp.if_Pro1144176865Tree_a false) @t133) @t231) @t231))) % 0.44/0.95 (assume @p340 (forall @t672 (= (_ (_ (_ tptp.if_Pro1144176865Tree_a true) @t133) @t231) @t133))) % 0.44/0.95 (assume @p341 @t676) % 0.44/0.95 (assume @p342 true) % 0.44/0.95 (step @p343 (= tptp.heapIm229596386mpty_a @t678) :rule refl :args (@t678)) % 0.44/0.95 (step @p344 (= tptp.produc1478296771ee_a_a @t679) :rule refl :args (@t679)) % 0.44/0.95 (step @p345 (= tptp.produc1515207979Tree_a @t680) :rule refl :args (@t680)) % 0.44/0.95 (step @p346 (= tptp.heapIm915766629_max_a @t684) :rule refl :args (@t684)) % 0.44/0.95 (step @p347 (= tptp.bNF_sn210385162ee_a_a @t690) :rule refl :args (@t690)) % 0.44/0.95 (step @p348 (= tptp.bNF_sndOp_a_a_Tree_a @t696) :rule refl :args (@t696)) % 0.44/0.96 (step @p349 (= tptp.bNF_fstOp_Tree_a_a_a @t699) :rule refl :args (@t699)) % 0.44/0.96 (step @p350 (= tptp.bNF_fs1579355852Tree_a @t702) :rule refl :args (@t702)) % 0.44/0.96 (step @p351 (= tptp.ord_less_eq_set_a @t703) :rule refl :args (@t703)) % 0.44/0.96 (step @p352 (= tptp.ord_le1013007387Tree_a @t704) :rule refl :args (@t704)) % 0.44/0.96 (step @p353 (= tptp.heap_axioms_Tree_a_a @t723) :rule refl :args (@t723)) % 0.44/0.96 (step @p354 (= tptp.produc1673233912ee_a_o @t727) :rule refl :args (@t727)) % 0.44/0.96 (step @p355 (= tptp.produc873356882Tree_a @t728) :rule refl :args (@t728)) % 0.44/0.96 (step @p356 (= tptp.produc369019363Tree_a @t730) :rule refl :args (@t730)) % 0.44/0.96 (step @p357 (= tptp.produc1331510035ee_a_a @t731) :rule refl :args (@t731)) % 0.44/0.96 (step @p358 :rule refl :args (@t732)) % 0.44/0.96 (step @p359 :rule refl :args (@t733)) % 0.44/0.96 (step @p360 :rule refl :args (@t734)) % 0.44/0.96 (step @p361 :rule cong :premises (@p360 @p359) :args ((= @t734 @t733))) % 0.44/0.96 (step @p362 :rule symm :premises (@p361)) % 0.44/0.96 (step @p363 :rule eq_resolve :premises (@p360 @p362)) % 0.44/0.96 (step @p364 :rule cong :premises (@p363 @p358) :args (@t735)) % 0.44/0.96 (step @p365 :rule refl :args (@t161)) % 0.44/0.96 (step @p366 :rule cong :premises (@p365 @p364) :args (@t736)) % 0.44/0.96 (step @p367 :rule cong :premises (@p366) :args ((forall @t165 @t736))) % 0.44/0.96 (step @p368 :rule refl :args (@t732)) % 0.44/0.96 (step @p369 :rule refl :args (@t737)) % 0.44/0.96 (step @p370 :rule cong :premises (@p369 @p368) :args (@t738)) % 0.44/0.96 (step @p371 :rule refl :args (@t161)) % 0.44/0.96 (step @p372 :rule cong :premises (@p371 @p370) :args (@t739)) % 0.44/0.96 (step @p373 :rule cong :premises (@p372) :args ((forall @t165 @t739))) % 0.44/0.96 (step @p374 :rule trans :premises (@p373 @p367)) % 0.44/0.96 (step @p375 :rule ho_cong :premises (@p236 @p371)) % 0.44/0.96 (step @p376 :rule cong :premises (@p375 @p368) :args (@t741)) % 0.44/0.96 (step @p377 :rule cong :premises (@p371 @p376) :args (@t742)) % 0.44/0.96 (step @p378 :rule cong :premises (@p377) :args ((forall @t165 @t742))) % 0.44/0.96 (step @p379 :rule trans :premises (@p378 @p374)) % 0.44/0.96 (step @p380 :rule refl :args ((tptp.produc686083979Tree_a @t163 @t162))) % 0.44/0.96 (step @p381 :rule refl :args (@t732)) % 0.44/0.96 (step @p382 :rule refl :args (@t740)) % 0.44/0.96 (step @p383 :rule cong :premises (@p382 @p381) :args (@t741)) % 0.44/0.96 (step @p384 :rule trans :premises (@p383 @p380)) % 0.44/0.96 (step @p385 :rule refl :args (tptp.produc686083979Tree_a)) % 0.44/0.96 (step @p386 :rule ho_cong :premises (@p385 @p382)) % 0.44/0.96 (step @p387 :rule ho_cong :premises (@p386 @p381)) % 0.44/0.96 (step @p388 :rule cong :premises (@p387 @p384) :args ((= (_ (_ tptp.produc686083979Tree_a @t740) @t732) @t741))) % 0.44/0.96 (step @p389 :rule symm :premises (@p388)) % 0.44/0.96 (step @p390 :rule refl :args (@t164)) % 0.44/0.96 (step @p391 :rule eq_resolve :premises (@p390 @p389)) % 0.44/0.96 (step @p392 :rule refl :args (@t162)) % 0.44/0.96 (step @p393 :rule cong :premises (@p392 @p381) :args ((= @t162 @t732))) % 0.44/0.96 (step @p394 :rule symm :premises (@p393)) % 0.44/0.96 (step @p395 :rule eq_resolve :premises (@p392 @p394)) % 0.44/0.96 (step @p396 :rule refl :args (@t163)) % 0.44/0.96 (step @p397 :rule cong :premises (@p396 @p382) :args ((= @t163 @t740))) % 0.44/0.96 (step @p398 :rule symm :premises (@p397)) % 0.44/0.96 (step @p399 :rule eq_resolve :premises (@p396 @p398)) % 0.44/0.96 (step @p400 :rule ho_cong :premises (@p385 @p399)) % 0.44/0.96 (step @p401 :rule ho_cong :premises (@p400 @p395)) % 0.44/0.96 (step @p402 :rule trans :premises (@p401 @p391)) % 0.44/0.96 (step @p403 :rule cong :premises (@p365 @p402) :args (@t192)) % 0.44/0.96 (step @p404 :rule cong :premises (@p403) :args (@t193)) % 0.44/0.96 (step @p405 :rule eq-symm :args (@t164 @t161)) % 0.44/0.96 (step @p406 :rule cong :premises (@p405) :args (@t166)) % 0.44/0.96 (step @p407 :rule trans :premises (@p406 @p404)) % 0.44/0.96 (step @p408 :rule trans :premises (@p407 @p379)) % 0.44/0.96 (step @p409 :rule eq_resolve :premises (@p38 @p408)) % 0.44/0.96 (step @p410 :rule refl :args (@t745)) % 0.44/0.96 (step @p411 :rule refl :args (@t744)) % 0.44/0.96 (step @p412 :rule eq-refl :args (@t565)) % 0.44/0.96 (step @p413 :rule skolem_intro :args (@t746)) % 0.44/0.96 (step @p414 :rule refl :args (@t565)) % 0.44/0.96 (step @p415 :rule cong :premises (@p414 @p413) :args ((= @t565 @t746))) % 0.44/0.96 (step @p416 :rule trans :premises (@p415 @p412)) % 0.44/0.96 (step @p417 :rule true_elim :premises (@p416)) % 0.44/0.96 (step @p418 :rule cong :premises (@p417 @p411) :args (@t747)) % 0.44/0.96 (step @p419 :rule cong :premises (@p418 @p410) :args (@t748)) % 0.44/0.96 (step @p420 :rule cong :premises (@p411 @p419) :args (@t749)) % 0.44/0.96 (step @p421 :rule refl :args (@t750)) % 0.44/0.96 (step @p422 :rule cong :premises (@p421 @p420) :args ((=> @t750 @t749))) % 0.44/0.96 (assume-push @p563 @t750) % 0.44/0.96 (step @p424 :rule instantiate :premises (@p409) :args ((@list @t744))) % 0.44/0.96 (step-pop @p564 :rule scope :premises (@p424)) % 0.44/0.96 (step @p425 :rule process_scope :premises (@p564) :args (@t749)) % 0.44/0.96 (step @p427 :rule eq_resolve :premises (@p425 @p422)) % 0.44/0.96 (step @p428 :rule implies_elim :premises (@p427)) % 0.44/0.96 (step @p429 :rule chain_m_resolution :premises (@p428 @p409) :args ((= @t744 @t752) (@list false) (@list @t750))) % 0.44/0.96 (step @p430 :rule refl :args (@t753)) % 0.44/0.96 (step @p431 :rule refl :args (@t63)) % 0.44/0.96 (step @p432 :rule cong :premises (@p431 @p430) :args ((= @t63 @t753))) % 0.44/0.96 (step @p433 :rule symm :premises (@p432)) % 0.44/0.96 (step @p434 :rule eq_resolve :premises (@p431 @p433)) % 0.44/0.96 (step @p435 :rule refl :args ((tptp.heapIm837449470Leaf_a @t40))) % 0.44/0.96 (step @p436 :rule refl :args (@t754)) % 0.44/0.96 (step @p437 :rule cong :premises (@p436) :args (@t755)) % 0.44/0.96 (step @p438 :rule trans :premises (@p437 @p435)) % 0.44/0.96 (step @p439 :rule refl :args (tptp.heapIm837449470Leaf_a)) % 0.44/0.96 (step @p440 :rule ho_cong :premises (@p439 @p436)) % 0.44/0.96 (step @p441 :rule cong :premises (@p440 @p438) :args ((= (_ tptp.heapIm837449470Leaf_a @t754) @t755))) % 0.44/0.96 (step @p442 :rule symm :premises (@p441)) % 0.44/0.96 (step @p443 :rule refl :args (@t64)) % 0.44/0.96 (step @p444 :rule eq_resolve :premises (@p443 @p442)) % 0.44/0.96 (step @p445 :rule refl :args (@t40)) % 0.44/0.96 (step @p446 :rule cong :premises (@p445 @p436) :args ((= @t40 @t754))) % 0.44/0.96 (step @p447 :rule symm 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(step @p493 :rule eq_resolve :premises (@p490 @p492)) % 0.44/0.96 (step @p494 :rule refl :args (tptp.heapIm837449470Leaf_a)) % 0.44/0.96 (step @p495 :rule ho_cong :premises (@p494 @p493)) % 0.44/0.96 (step @p496 :rule trans :premises (@p495 @p489)) % 0.44/0.96 (step @p497 :rule refl :args (tptp.product_snd_a_Tree_a)) % 0.44/0.96 (step @p498 :rule ho_cong :premises (@p497 @p496)) % 0.44/0.96 (step @p499 :rule trans :premises (@p498 @p484)) % 0.44/0.96 (step @p500 :rule refl :args (tptp.is_heap_a)) % 0.44/0.96 (step @p501 :rule ho_cong :premises (@p500 @p499)) % 0.44/0.96 (step @p502 :rule trans :premises (@p501 @p478)) % 0.44/0.96 (step @p503 :rule cong :premises (@p502) :args (@t676)) % 0.44/0.96 (step @p504 :rule eq_resolve :premises (@p341 @p503)) % 0.44/0.96 (step @p505 :rule refl :args (@t759)) % 0.44/0.96 (step @p506 :rule bool-double-not-elim :args (@t757)) % 0.44/0.96 (step @p507 :rule refl :args (@t760)) % 0.44/0.96 (step @p508 :rule nary_cong :premises (@p507 @p506 @p505) :args ((or @t760 (not @t761) @t759))) % 0.44/0.96 (assume-push @p565 @t756) % 0.44/0.96 (assume-push @p566 @t758) % 0.44/0.96 (assume-push @p567 @t761) % 0.44/0.96 (step @p512 :rule evaluate :args ((= false true))) % 0.44/0.96 (step @p513 :rule true_intro :premises (@p462)) % 0.44/0.96 (step @p514 :rule symm :premises (@p566)) % 0.44/0.96 (step @p515 :rule cong :premises (@p514) :args (@t757)) % 0.44/0.96 (step @p516 :rule false_intro :premises (@p504)) % 0.44/0.96 (step @p517 :rule symm :premises (@p516)) % 0.44/0.96 (step @p518 :rule trans :premises (@p517 @p515 @p513)) % 0.44/0.96 (step @p519 false :rule eq_resolve :premises (@p518 @p512)) % 0.44/0.96 (step-pop @p568 :rule scope :premises (@p519)) % 0.44/0.96 (step-pop @p569 :rule scope :premises (@p568)) % 0.44/0.96 (step-pop @p570 :rule scope :premises (@p569)) % 0.44/0.96 (step @p520 :rule process_scope :premises (@p570) :args (false)) % 0.44/0.96 (assume-push @p571 @t756) % 0.44/0.96 (assume-push @p572 @t761) % 0.44/0.96 (assume-push @p573 @t758) % 0.44/0.96 (step @p527 :rule and_intro :premises (@p462 @p573 @p504)) % 0.44/0.96 (step-pop @p574 :rule scope :premises (@p527)) % 0.44/0.96 (step-pop @p575 :rule scope :premises (@p574)) % 0.44/0.96 (step-pop @p576 :rule scope :premises (@p575)) % 0.44/0.96 (step @p528 :rule process_scope :premises (@p576) :args (@t762)) % 0.44/0.96 (step @p532 :rule implies_elim :premises (@p528)) % 0.44/0.96 (step @p533 :rule resolution :premises (@p532 @p520) :args (true @t762)) % 0.44/0.96 (step @p534 :rule not_and :premises (@p533)) % 0.44/0.96 (step @p535 :rule eq_resolve :premises (@p534 @p508)) % 0.44/0.96 (step @p536 :rule reordering :premises (@p535) :args ((or @t757 @t760 @t759))) % 0.44/0.96 (step @p537 :rule chain_m_resolution :premises (@p536 @p504 @p462) :args (@t759 (@list true false) (@list @t757 @t756))) % 0.44/0.96 (step @p538 :rule cnf_and_pos :args (@t763 1)) % 0.44/0.96 (step @p539 :rule reordering :premises (@p538) :args ((or @t758 @t764))) % 0.44/0.96 (step @p540 :rule chain_m_resolution :premises (@p539 @p537) :args (@t764 (@list true) (@list @t758))) % 0.44/0.96 (step @p541 :rule eq-symm :args (@t767 @t78)) % 0.44/0.96 (step @p542 :rule cong :premises (@p541) :args ((forall @t83 (= @t767 @t78)))) % 0.44/0.96 (step @p543 :rule refl :args (@t78)) % 0.44/0.96 (step @p544 :rule refl :args (@t765)) % 0.44/0.96 (step @p545 :rule refl :args (@t79)) % 0.44/0.96 (step @p546 :rule cong :premises (@p545 @p544) :args ((= @t79 @t765))) % 0.44/0.96 (step @p547 :rule symm :premises (@p546)) % 0.44/0.96 (step @p548 :rule eq_resolve :premises (@p545 @p547)) % 0.44/0.96 (step @p549 :rule refl :args (@t766)) % 0.44/0.96 (step @p550 :rule refl :args (@t80)) % 0.44/0.96 (step @p551 :rule cong :premises (@p550 @p549) :args ((= @t80 @t766))) % 0.44/0.96 (step @p552 :rule symm :premises (@p551)) % 0.44/0.96 (step @p553 :rule eq_resolve :premises (@p550 @p552)) % 0.44/0.96 (step @p554 :rule cong :premises (@p553 @p548) :args (@t81)) % 0.44/0.96 (step @p555 :rule cong :premises (@p554 @p543) :args (@t82)) % 0.44/0.96 (step @p556 :rule cong :premises (@p555) :args (@t84)) % 0.44/0.96 (step @p557 :rule trans :premises (@p556 @p542)) % 0.44/0.96 (step @p558 :rule eq_resolve :premises (@p21 @p557)) % 0.44/0.96 (step @p559 :rule instantiate :premises (@p558) :args ((@list tptp.v tptp.e_a @t751 @t745))) % 0.44/0.96 (step @p560 :rule cnf_equiv_pos2 :args (@t769)) % 0.44/0.96 (step @p561 :rule reordering :premises (@p560) :args ((or @t763 (not @t768) (not @t769)))) % 0.44/0.96 (step @p562 false :rule chain_m_resolution :premises (@p561 @p559 @p540 @p456) :args (false (@list false true false) (@list @t769 @t763 @t768))) % 0.44/0.96 ) % 0.44/0.96 % SZS output end Proof % 0.44/0.96 % cvc5 exiting %------------------------------------------------------------------------------