%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP182^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:25:18 AM UTC 2026 % Result : Theorem 0.46s 0.88s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP182^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n005.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 04:17:48 EDT 2026 % 0.16/0.35 % CPUTime : % 0.39/0.62 %----Proving TH0 % 0.46/0.88 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.46/0.88 % SZS status Theorem % 0.46/0.88 % SZS output start Proof % 0.46/0.88 ( % 0.46/0.88 (declare-sort tptp.produc367475239e_name 0) % 0.46/0.88 (declare-sort tptp.name 0) % 0.46/0.88 (declare-sort tptp.late_subject 0) % 0.46/0.88 (declare-sort tptp.pi 0) % 0.46/0.88 (declare-sort tptp.late_freeRes 0) % 0.46/0.88 (declare-sort tptp.late_residual_Rep 0) % 0.46/0.88 (declare-sort tptp.late_residual 0) % 0.46/0.88 (declare-sort tptp.list_P227219501e_name 0) % 0.46/0.88 (declare-sort tptp.produc1141751126_pi_pi 0) % 0.46/0.88 (declare-sort tptp.set_Pr1654044726_pi_pi 0) % 0.46/0.88 (declare-sort tptp.set_Pr443758855e_name 0) % 0.46/0.88 (declare-sort tptp.list_name 0) % 0.46/0.88 (declare-sort tptp.list_P431515740_pi_pi 0) % 0.46/0.88 (declare-sort tptp.list_Late_freeRes 0) % 0.46/0.88 (declare-sort tptp.list_Late_subject 0) % 0.46/0.88 (declare-sort tptp.product_prod_pi_pi 0) % 0.46/0.88 (declare-sort tptp.list_pi 0) % 0.46/0.88 (declare-sort tptp.list_pi_Rep 0) % 0.46/0.88 (declare-sort tptp.set_pi_Rep 0) % 0.46/0.88 (declare-sort tptp.set_Late_freeRes 0) % 0.46/0.88 (declare-sort tptp.set_name 0) % 0.46/0.88 (declare-sort tptp.produc2052722628s_name 0) % 0.46/0.88 (declare-sort tptp.pi_Rep 0) % 0.46/0.88 (declare-sort tptp.set_Late_subject 0) % 0.46/0.88 (declare-sort tptp.set_Pr1834926343_pi_pi 0) % 0.46/0.88 (declare-sort tptp.produc2008547984reeRes 0) % 0.46/0.88 (declare-sort tptp.produc890461031e_name 0) % 0.46/0.88 (declare-sort tptp.produc1359399907ubject 0) % 0.46/0.88 (declare-sort tptp.produc1872410278e_name 0) % 0.46/0.88 (declare-sort tptp.produc355105483reeRes 0) % 0.46/0.88 (declare-sort tptp.produc992857746Res_pi 0) % 0.46/0.88 (declare-sort tptp.late_freeRes_Rep 0) % 0.46/0.88 (declare-sort tptp.produc140253050ect_pi 0) % 0.46/0.88 (declare-sort tptp.set_pi 0) % 0.46/0.88 (declare-sort tptp.produc1998742700t_name 0) % 0.46/0.88 (declare-sort tptp.set_Pr1780909331reeRes 0) % 0.46/0.88 (declare-sort tptp.produc865358760ubject 0) % 0.46/0.88 (declare-sort tptp.late_subject_Rep 0) % 0.46/0.88 (declare-sort tptp.produc214645451ubject 0) % 0.46/0.88 (declare-sort tptp.produc1357834675reeRes 0) % 0.46/0.88 (declare-sort tptp.set_Pr1131282415pi_Rep 0) % 0.46/0.88 (declare-sort tptp.produc1777919905pi_Rep 0) % 0.46/0.88 (declare-sort tptp.list_l1406151091e_name 0) % 0.46/0.88 (declare-sort tptp.produc1212344719pi_Rep 0) % 0.46/0.88 (declare-sort tptp.produc257012921pi_Rep 0) % 0.46/0.88 (declare-sort tptp.set_Pr806375235ubject 0) % 0.46/0.88 (declare-const tptp.perm_n1415585007_pi_pi (-> tptp.list_P227219501e_name tptp.product_prod_pi_pi tptp.product_prod_pi_pi)) % 0.46/0.88 (declare-const tptp.member558706512_pi_pi (-> tptp.product_prod_pi_pi tptp.set_Pr1834926343_pi_pi Bool)) % 0.46/0.88 (declare-const tptp.product_Pair_pi_pi (-> tptp.pi tptp.pi tptp.product_prod_pi_pi)) % 0.46/0.88 (declare-const tptp.late_BoundR (-> tptp.late_subject tptp.name tptp.pi tptp.late_residual)) % 0.46/0.88 (declare-const tptp.late_FreeR (-> tptp.late_freeRes tptp.pi tptp.late_residual)) % 0.46/0.88 (declare-const tptp.strong2129052853vative (-> tptp.pi tptp.pi tptp.late_subject tptp.name tptp.set_Pr1834926343_pi_pi Bool)) % 0.46/0.88 (declare-const tptp.late_transitions (-> tptp.pi tptp.late_residual Bool)) % 0.46/0.88 (declare-const tptp.fresh_name_pi (-> tptp.name tptp.pi Bool)) % 0.46/0.88 (declare-const tptp.swap_name (-> tptp.produc367475239e_name tptp.name tptp.name)) % 0.46/0.88 (declare-const tptp.input (-> tptp.name tptp.name tptp.pi tptp.pi)) % 0.46/0.88 (declare-const tptp.late_OutputR (-> tptp.name tptp.name tptp.late_freeRes)) % 0.46/0.88 (declare-const tptp.fresh_81631222sidual (-> tptp.name tptp.late_residual Bool)) % 0.46/0.88 (declare-const tptp.perm_n414416632sidual (-> tptp.list_P227219501e_name tptp.late_residual tptp.late_residual)) % 0.46/0.88 (declare-const tptp.pq tptp.pi) % 0.46/0.88 (declare-const tptp.sum (-> tptp.pi tptp.pi tptp.pi)) % 0.46/0.88 (declare-const tptp.res (-> tptp.name tptp.pi tptp.pi)) % 0.46/0.88 (declare-const tptp.late_InputS (-> tptp.name tptp.late_subject)) % 0.46/0.88 (declare-const tptp.q tptp.pi) % 0.46/0.88 (declare-const tptp.perm_name_set_pi (-> tptp.list_P227219501e_name tptp.set_pi tptp.set_pi)) % 0.46/0.88 (declare-const tptp.fresh_717452603ubject (-> tptp.name tptp.late_subject Bool)) % 0.46/0.88 (declare-const tptp.perm_name_set_pi_Rep (-> tptp.list_P227219501e_name tptp.set_pi_Rep tptp.set_pi_Rep)) % 0.46/0.88 (declare-const tptp.fresh_name_list_name (-> tptp.name tptp.list_name Bool)) % 0.46/0.88 (declare-const tptp.perm_n1555914327reeRes (-> tptp.list_P227219501e_name tptp.set_Late_freeRes tptp.set_Late_freeRes)) % 0.46/0.88 (declare-const tptp.fresh_name_list_pi (-> tptp.name tptp.list_pi Bool)) % 0.46/0.88 (declare-const tptp.member_Late_subject (-> tptp.late_subject tptp.set_Late_subject Bool)) % 0.46/0.88 (declare-const tptp.if_Late_freeRes (-> Bool tptp.late_freeRes tptp.late_freeRes tptp.late_freeRes)) % 0.46/0.88 (declare-const tptp.nil_li29751603e_name tptp.list_l1406151091e_name) % 0.46/0.88 (declare-const tptp.perm_n1333244520reeRes (-> tptp.list_P227219501e_name (-> tptp.pi tptp.late_freeRes) tptp.pi tptp.late_freeRes)) % 0.46/0.88 (declare-const tptp.cons_l798145763e_name (-> tptp.list_P227219501e_name tptp.list_l1406151091e_name tptp.list_l1406151091e_name)) % 0.46/0.88 (declare-const tptp.perm_n840427369pi_Rep (-> tptp.list_P227219501e_name tptp.produc1777919905pi_Rep tptp.produc1777919905pi_Rep)) % 0.46/0.88 (declare-const tptp.perm_n382765978reeRes (-> tptp.list_P227219501e_name (-> tptp.name tptp.late_freeRes) tptp.name tptp.late_freeRes)) % 0.46/0.88 (declare-const tptp.produc320590723ubject (-> tptp.late_freeRes tptp.late_subject tptp.produc214645451ubject)) % 0.46/0.88 (declare-const tptp.perm_n1446290985reeRes (-> tptp.list_P227219501e_name (-> tptp.late_freeRes tptp.late_freeRes) tptp.late_freeRes tptp.late_freeRes)) % 0.46/0.88 (declare-const tptp.perm_n443561793reeRes (-> tptp.list_P227219501e_name (-> tptp.late_subject tptp.late_freeRes) tptp.late_subject tptp.late_freeRes)) % 0.46/0.88 (declare-const tptp.id_name tptp.set_Pr443758855e_name) % 0.46/0.88 (declare-const tptp.perm_n303101761ubject (-> tptp.list_P227219501e_name (-> tptp.late_freeRes tptp.late_subject) tptp.late_freeRes tptp.late_subject)) % 0.46/0.88 (declare-const tptp.eqvt_Late_freeRes (-> tptp.set_Pr1780909331reeRes Bool)) % 0.46/0.88 (declare-const tptp.perm_n1447856217ubject (-> tptp.list_P227219501e_name (-> tptp.late_subject tptp.late_subject) tptp.late_subject tptp.late_subject)) % 0.46/0.88 (declare-const tptp.perm_n1160739829e_name (-> tptp.list_P227219501e_name tptp.list_P227219501e_name tptp.list_P227219501e_name)) % 0.46/0.88 (declare-const tptp.rel tptp.set_Pr1834926343_pi_pi) % 0.46/0.88 (declare-const tptp.produc208131031e_name (-> tptp.list_P227219501e_name tptp.list_P227219501e_name tptp.produc890461031e_name)) % 0.46/0.88 (declare-const tptp.fresh_922791155e_name (-> tptp.name tptp.list_P227219501e_name Bool)) % 0.46/0.88 (declare-const tptp.perm_name_o (-> tptp.list_P227219501e_name Bool Bool)) % 0.46/0.88 (declare-const tptp.perm_name_pi_Rep (-> tptp.list_P227219501e_name tptp.pi_Rep tptp.pi_Rep)) % 0.46/0.88 (declare-const tptp.perm_name_set_name (-> tptp.list_P227219501e_name tptp.set_name tptp.set_name)) % 0.46/0.88 (declare-const tptp.ord_le630093991_pi_pi (-> tptp.set_Pr1834926343_pi_pi tptp.set_Pr1834926343_pi_pi Bool)) % 0.46/0.88 (declare-const tptp.fresh_1963366730reeRes (-> tptp.name tptp.produc2008547984reeRes Bool)) % 0.46/0.88 (declare-const tptp.a tptp.late_subject) % 0.46/0.88 (declare-const tptp.member_pi (-> tptp.pi tptp.set_pi Bool)) % 0.46/0.88 (declare-const tptp.if_name (-> Bool tptp.name tptp.name tptp.name)) % 0.46/0.88 (declare-const tptp.perm_n1559866809ubject (-> tptp.list_P227219501e_name tptp.late_subject tptp.late_subject)) % 0.46/0.88 (declare-const tptp.member1586545036ubject (-> tptp.produc1359399907ubject tptp.set_Pr806375235ubject Bool)) % 0.46/0.88 (declare-const tptp.aa tptp.name) % 0.46/0.88 (declare-const tptp.perm_n1255502110_pi_pi (-> tptp.list_P227219501e_name tptp.produc1141751126_pi_pi tptp.produc1141751126_pi_pi)) % 0.46/0.88 (declare-const tptp.cons_pi (-> tptp.pi tptp.list_pi tptp.list_pi)) % 0.46/0.88 (declare-const tptp.member_name (-> tptp.name tptp.set_name Bool)) % 0.46/0.88 (declare-const tptp.perm_n890803237al_Rep (-> tptp.list_P227219501e_name tptp.late_residual_Rep tptp.late_residual_Rep)) % 0.46/0.88 (declare-const tptp.perm_n698371375ubject (-> tptp.list_P227219501e_name (-> tptp.pi_Rep tptp.late_subject) tptp.pi_Rep tptp.late_subject)) % 0.46/0.88 (declare-const tptp.eqvt_name (-> tptp.set_Pr443758855e_name Bool)) % 0.46/0.88 (declare-const tptp.fresh_1641682979reeRes (-> tptp.name tptp.late_freeRes Bool)) % 0.46/0.88 (declare-const tptp.perm_n171497387ubject (-> tptp.list_P227219501e_name tptp.produc1359399907ubject tptp.produc1359399907ubject)) % 0.46/0.88 (declare-const tptp.perm_n1841560599reeRes (-> tptp.list_P227219501e_name (-> tptp.pi_Rep tptp.late_freeRes) tptp.pi_Rep tptp.late_freeRes)) % 0.46/0.88 (declare-const tptp.cons_name (-> tptp.name tptp.list_name tptp.list_name)) % 0.46/0.88 (declare-const tptp.x tptp.name) % 0.46/0.88 (declare-const tptp.perm_n1387060402ubject (-> tptp.list_P227219501e_name (-> tptp.name tptp.late_subject) tptp.name tptp.late_subject)) % 0.46/0.88 (declare-const tptp.produc1647375838t_name (-> tptp.late_subject tptp.name tptp.produc1998742700t_name)) % 0.46/0.88 (declare-const tptp.cons_P1213805021e_name (-> tptp.produc367475239e_name tptp.list_P227219501e_name tptp.list_P227219501e_name)) % 0.46/0.88 (declare-const tptp.perm_n169932155reeRes (-> tptp.list_P227219501e_name tptp.produc1357834675reeRes tptp.produc1357834675reeRes)) % 0.46/0.88 (declare-const tptp.perm_name_name (-> tptp.list_P227219501e_name tptp.name tptp.name)) % 0.46/0.88 (declare-const tptp.perm_n412725103ubject (-> tptp.list_P227219501e_name tptp.set_Late_subject tptp.set_Late_subject)) % 0.46/0.88 (declare-const tptp.fresh_1981651763reeRes (-> tptp.name tptp.list_Late_freeRes Bool)) % 0.46/0.88 (declare-const tptp.id_pi tptp.set_Pr1834926343_pi_pi) % 0.46/0.88 (declare-const tptp.member_Late_freeRes (-> tptp.late_freeRes tptp.set_Late_freeRes Bool)) % 0.46/0.88 (declare-const tptp.if_pi_Rep (-> Bool tptp.pi_Rep tptp.pi_Rep tptp.pi_Rep)) % 0.46/0.88 (declare-const tptp.produc1570949143e_name (-> tptp.name tptp.name tptp.produc367475239e_name)) % 0.46/0.88 (declare-const tptp.y tptp.name) % 0.46/0.88 (declare-const tptp.cons_pi_Rep (-> tptp.pi_Rep tptp.list_pi_Rep tptp.list_pi_Rep)) % 0.46/0.88 (declare-const tptp.fresh_name_pi_Rep (-> tptp.name tptp.pi_Rep Bool)) % 0.46/0.88 (declare-const tptp.perm_n1314686611reeRes (-> tptp.list_P227219501e_name tptp.produc355105483reeRes tptp.produc355105483reeRes)) % 0.46/0.88 (declare-const tptp.collec1051790738_pi_pi (-> (-> tptp.product_prod_pi_pi Bool) tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (declare-const tptp.perm_n336613537reeRes (-> tptp.list_P227219501e_name tptp.late_freeRes tptp.late_freeRes)) % 0.46/0.88 (declare-const tptp.perm_n190055296ubject (-> tptp.list_P227219501e_name (-> tptp.pi tptp.late_subject) tptp.pi tptp.late_subject)) % 0.46/0.88 (declare-const tptp.produc242091907reeRes (-> tptp.late_subject tptp.late_freeRes tptp.produc355105483reeRes)) % 0.46/0.88 (declare-const tptp.perm_n359102898ect_pi (-> tptp.list_P227219501e_name tptp.produc140253050ect_pi tptp.produc140253050ect_pi)) % 0.46/0.88 (declare-const tptp.perm_n675238095_pi_pi (-> tptp.list_P227219501e_name tptp.set_Pr1834926343_pi_pi tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (declare-const tptp.fresh_838462539ubject (-> tptp.name tptp.list_Late_subject Bool)) % 0.46/0.88 (declare-const tptp.perm_name_pi (-> tptp.list_P227219501e_name tptp.pi tptp.pi)) % 0.46/0.88 (declare-const tptp.nil_Pr743626285e_name tptp.list_P227219501e_name) % 0.46/0.88 (declare-const tptp.perm_n204483300t_name (-> tptp.list_P227219501e_name tptp.produc1998742700t_name tptp.produc1998742700t_name)) % 0.46/0.88 (declare-const tptp.late_BoundOutputS (-> tptp.name tptp.late_subject)) % 0.46/0.88 (declare-const tptp.p2 tptp.pi) % 0.46/0.88 (declare-const tptp.perm_n1812647369ubject (-> tptp.list_P227219501e_name tptp.list_Late_subject tptp.list_Late_subject)) % 0.46/0.88 (declare-const tptp.produc235456326_pi_pi (-> tptp.name tptp.product_prod_pi_pi tptp.produc1141751126_pi_pi)) % 0.46/0.88 (declare-const tptp.member_pi_Rep (-> tptp.pi_Rep tptp.set_pi_Rep Bool)) % 0.46/0.88 (declare-const tptp.if_pi (-> Bool tptp.pi tptp.pi tptp.pi)) % 0.46/0.88 (declare-const tptp.produc1069608854e_name (-> (-> tptp.produc367475239e_name tptp.produc367475239e_name Bool) tptp.list_P227219501e_name tptp.produc1872410278e_name)) % 0.46/0.88 (declare-const tptp.perm_n697952036ct_Rep (-> tptp.list_P227219501e_name tptp.late_subject_Rep tptp.late_subject_Rep)) % 0.46/0.88 (declare-const tptp.perm_n1938283068es_Rep (-> tptp.list_P227219501e_name tptp.late_freeRes_Rep tptp.late_freeRes_Rep)) % 0.46/0.88 (declare-const tptp.fresh_1376661020_pi_pi (-> tptp.name tptp.produc1141751126_pi_pi Bool)) % 0.46/0.88 (declare-const tptp.member695284560e_name (-> tptp.produc367475239e_name tptp.set_Pr443758855e_name Bool)) % 0.46/0.88 (declare-const tptp.if_Late_subject (-> Bool tptp.late_subject tptp.late_subject tptp.late_subject)) % 0.46/0.88 (declare-const tptp.produc1465345179ubject (-> tptp.late_subject tptp.late_subject tptp.produc1359399907ubject)) % 0.46/0.88 (declare-const tptp.fresh_495373993ubject (-> tptp.name tptp.produc1359399907ubject Bool)) % 0.46/0.88 (declare-const tptp.fresh_1638563217reeRes (-> tptp.name tptp.produc355105483reeRes Bool)) % 0.46/0.88 (declare-const tptp.fresh_1953561446t_name (-> tptp.name tptp.produc1998742700t_name Bool)) % 0.46/0.88 (declare-const tptp.produc324947500ect_pi (-> tptp.late_subject tptp.pi tptp.produc140253050ect_pi)) % 0.46/0.88 (declare-const tptp.fresh_994896692ect_pi (-> tptp.name tptp.produc140253050ect_pi Bool)) % 0.46/0.88 (declare-const tptp.fresh_1498103185ubject (-> tptp.name tptp.produc214645451ubject Bool)) % 0.46/0.88 (declare-const tptp.produc1244821099reeRes (-> tptp.late_freeRes tptp.late_freeRes tptp.produc1357834675reeRes)) % 0.46/0.88 (declare-const tptp.fresh_493808761reeRes (-> tptp.name tptp.produc1357834675reeRes Bool)) % 0.46/0.88 (declare-const tptp.produc1701355766s_name (-> tptp.late_freeRes tptp.name tptp.produc2052722628s_name)) % 0.46/0.88 (declare-const tptp.fresh_2007541374s_name (-> tptp.name tptp.produc2052722628s_name Bool)) % 0.46/0.88 (declare-const tptp.produc1177552196Res_pi (-> tptp.late_freeRes tptp.pi tptp.produc992857746Res_pi)) % 0.46/0.88 (declare-const tptp.fresh_1847501388Res_pi (-> tptp.name tptp.produc992857746Res_pi Bool)) % 0.46/0.88 (declare-const tptp.produc607574050ubject (-> tptp.name tptp.late_subject tptp.produc865358760ubject)) % 0.46/0.88 (declare-const tptp.fresh_820177506ubject (-> tptp.name tptp.produc865358760ubject Bool)) % 0.46/0.88 (declare-const tptp.produc1531804426reeRes (-> tptp.name tptp.late_freeRes tptp.produc2008547984reeRes)) % 0.46/0.88 (declare-const tptp.late_r347633188eR_Rep (-> tptp.late_freeRes tptp.pi tptp.late_residual_Rep)) % 0.46/0.88 (declare-const tptp.p tptp.pi) % 0.46/0.88 (declare-const tptp.perm_n808352945reeRes (-> tptp.list_P227219501e_name tptp.list_Late_freeRes tptp.list_Late_freeRes)) % 0.46/0.88 (declare-const tptp.eqvt_Late_subject (-> tptp.set_Pr806375235ubject Bool)) % 0.46/0.88 (declare-const tptp.member1584979804reeRes (-> tptp.produc1357834675reeRes tptp.set_Pr1780909331reeRes Bool)) % 0.46/0.88 (declare-const tptp.produc784048711pi_Rep (-> tptp.pi_Rep tptp.pi_Rep tptp.produc1212344719pi_Rep)) % 0.46/0.88 (declare-const tptp.member1671908408pi_Rep (-> tptp.produc1212344719pi_Rep tptp.set_Pr1131282415pi_Rep Bool)) % 0.46/0.88 (declare-const tptp.eqvt_pi_Rep (-> tptp.set_Pr1131282415pi_Rep Bool)) % 0.46/0.88 (declare-const tptp.produc843063281pi_Rep (-> tptp.late_subject tptp.pi_Rep tptp.produc257012921pi_Rep)) % 0.46/0.88 (declare-const tptp.perm_n1467004033pi_Rep (-> tptp.list_P227219501e_name tptp.produc257012921pi_Rep tptp.produc257012921pi_Rep)) % 0.46/0.88 (declare-const tptp.perm_n1174226579ubject (-> tptp.list_P227219501e_name tptp.produc214645451ubject tptp.produc214645451ubject)) % 0.46/0.88 (declare-const tptp.cons_P749510156_pi_pi (-> tptp.produc1141751126_pi_pi tptp.list_P431515740_pi_pi tptp.list_P431515740_pi_pi)) % 0.46/0.88 (declare-const tptp.produc216486617pi_Rep (-> tptp.late_freeRes tptp.pi_Rep tptp.produc1777919905pi_Rep)) % 0.46/0.88 (declare-const tptp.perm_n258463228s_name (-> tptp.list_P227219501e_name tptp.produc2052722628s_name tptp.produc2052722628s_name)) % 0.46/0.88 (declare-const tptp.cons_Late_freeRes (-> tptp.late_freeRes tptp.list_Late_freeRes tptp.list_Late_freeRes)) % 0.46/0.88 (declare-const tptp.perm_n1211707594Res_pi (-> tptp.list_P227219501e_name tptp.produc992857746Res_pi tptp.produc992857746Res_pi)) % 0.46/0.88 (declare-const tptp.cons_Late_subject (-> tptp.late_subject tptp.list_Late_subject tptp.list_Late_subject)) % 0.46/0.88 (declare-const tptp.perm_n729617823pi_Rep (-> tptp.list_P227219501e_name tptp.list_pi_Rep tptp.list_pi_Rep)) % 0.46/0.88 (declare-const tptp.perm_name_list_name (-> tptp.list_P227219501e_name tptp.list_name tptp.list_name)) % 0.46/0.88 (declare-const tptp.perm_name_list_pi (-> tptp.list_P227219501e_name tptp.list_pi tptp.list_pi)) % 0.46/0.88 (declare-const tptp.fresh_441084397e_name (-> tptp.name tptp.produc367475239e_name Bool)) % 0.46/0.88 (declare-const tptp.ord_le797229014_pi_pi (-> tptp.set_Pr1654044726_pi_pi tptp.set_Pr1654044726_pi_pi Bool)) % 0.46/0.88 (declare-const tptp.fresh_1627595501_pi_pi (-> tptp.name tptp.product_prod_pi_pi Bool)) % 0.46/0.88 (declare-const tptp.fresh_1958133282_pi_pi (-> tptp.name tptp.list_P431515740_pi_pi Bool)) % 0.46/0.88 (declare-const tptp.ord_le793202855e_name (-> tptp.set_Pr443758855e_name tptp.set_Pr443758855e_name Bool)) % 0.46/0.88 (declare-const tptp.member540268543_pi_pi (-> tptp.produc1141751126_pi_pi tptp.set_Pr1654044726_pi_pi Bool)) % 0.46/0.88 (define tptp.eqvt_pi () (let ((_let_1 (@var "Rel2" tptp.set_Pr1834926343_pi_pi))) (let ((_let_2 (@var "X5" tptp.product_prod_pi_pi))) (let ((_let_3 (@var "Perm2" tptp.list_P227219501e_name))) (lambda (@list _let_1) (forall (@list _let_2 _let_3) (=> (_ (_ tptp.member558706512_pi_pi _let_2) _let_1) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.perm_n1415585007_pi_pi _let_3) _let_2)) _let_1)))))))) % 0.46/0.88 (define tptp.fresh_name_name () (let ((_let_1 (@var "B5" tptp.name))) (let ((_let_2 (@var "A5" tptp.name))) (lambda (@list _let_2 _let_1) (not (= _let_2 _let_1)))))) % 0.46/0.88 (define tptp.strong743114133lation () (let ((_let_1 (@var "Rel2" tptp.set_Pr1834926343_pi_pi))) (let ((_let_2 (@var "Q4" tptp.pi))) (let ((_let_3 (@var "P7" tptp.pi))) (let ((_let_4 (@var "Alpha3" tptp.late_freeRes))) (let ((_let_5 (_ tptp.late_FreeR _let_4))) (let ((_let_6 (@var "P6" tptp.pi))) (let ((_let_7 (_ tptp.late_transitions _let_6))) (let ((_let_8 (@list _let_3))) (let ((_let_9 (@var "Q3" tptp.pi))) (let ((_let_10 (_ tptp.late_transitions _let_9))) (let ((_let_11 (@var "X5" tptp.name))) (let ((_let_12 (@var "A5" tptp.late_subject))) (let ((_let_13 (_ (_ tptp.late_BoundR _let_12) _let_11))) (lambda (@list _let_6 _let_1 _let_9) (and (forall (@list _let_12 _let_11 _let_2) (=> (and (_ _let_10 (_ _let_13 _let_2)) (_ (_ tptp.fresh_name_pi _let_11) _let_6)) (exists _let_8 (and (_ _let_7 (_ _let_13 _let_3)) (_ (_ (_ (_ (_ tptp.strong2129052853vative _let_3) _let_2) _let_12) _let_11) _let_1))))) (forall (@list _let_4 _let_2) (=> (_ _let_10 (_ _let_5 _let_2)) (exists _let_8 (and (_ _let_7 (_ _let_5 _let_3)) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi _let_3) _let_2)) _let_1))))))))))))))))))))) % 0.46/0.88 (define @t1 () (_ tptp.ord_le630093991_pi_pi tptp.id_pi)) % 0.46/0.88 (define @t2 () (_ @t1 tptp.rel)) % 0.46/0.88 (define @t3 () (_ tptp.late_BoundOutputS tptp.aa)) % 0.46/0.88 (define @t4 () (@var "X" tptp.late_subject)) % 0.46/0.88 (define @t5 () (@var "B" tptp.name)) % 0.46/0.88 (define @t6 () (@var "A" tptp.name)) % 0.46/0.88 (define @t7 () (_ tptp.produc1570949143e_name @t6)) % 0.46/0.88 (define @t8 () (_ @t7 @t5)) % 0.46/0.88 (define @t9 () (_ tptp.cons_P1213805021e_name @t8)) % 0.46/0.88 (define @t10 () (_ @t9 tptp.nil_Pr743626285e_name)) % 0.46/0.88 (define @t11 () (_ tptp.perm_n1559866809ubject @t10)) % 0.46/0.88 (define @t12 () (_ @t11 @t4)) % 0.46/0.88 (define @t13 () (@list @t6 @t5 @t4)) % 0.46/0.88 (define @t14 () (@var "X" tptp.late_freeRes)) % 0.46/0.88 (define @t15 () (_ tptp.perm_n336613537reeRes @t10)) % 0.46/0.88 (define @t16 () (_ @t15 @t14)) % 0.46/0.88 (define @t17 () (@list @t6 @t5 @t14)) % 0.46/0.88 (define @t18 () (@var "X" tptp.pi_Rep)) % 0.46/0.88 (define @t19 () (_ tptp.perm_name_pi_Rep @t10)) % 0.46/0.88 (define @t20 () (_ @t19 @t18)) % 0.46/0.88 (define @t21 () (@list @t6 @t5 @t18)) % 0.46/0.88 (define @t22 () (@var "X" tptp.name)) % 0.46/0.88 (define @t23 () (_ tptp.perm_name_name @t10)) % 0.46/0.88 (define @t24 () (_ @t23 @t22)) % 0.46/0.88 (define @t25 () (@list @t6 @t5 @t22)) % 0.46/0.88 (define @t26 () (@var "X" tptp.pi)) % 0.46/0.88 (define @t27 () (_ tptp.perm_name_pi @t10)) % 0.46/0.88 (define @t28 () (_ @t27 @t26)) % 0.46/0.88 (define @t29 () (@list @t6 @t5 @t26)) % 0.46/0.88 (define @t30 () (_ @t7 @t6)) % 0.46/0.88 (define @t31 () (_ (_ tptp.cons_P1213805021e_name @t30) tptp.nil_Pr743626285e_name)) % 0.46/0.88 (define @t32 () (_ (_ tptp.cons_P1213805021e_name (_ (_ tptp.produc1570949143e_name @t5) @t6)) tptp.nil_Pr743626285e_name)) % 0.46/0.88 (define @t33 () (_ (_ tptp.perm_n1559866809ubject @t32) @t4)) % 0.46/0.88 (define @t34 () (_ (_ tptp.perm_n336613537reeRes @t32) @t14)) % 0.46/0.88 (define @t35 () (_ (_ tptp.perm_name_pi_Rep @t32) @t18)) % 0.46/0.88 (define @t36 () (_ (_ tptp.perm_name_name @t32) @t22)) % 0.46/0.88 (define @t37 () (_ (_ tptp.perm_name_pi @t32) @t26)) % 0.46/0.88 (define @t38 () (@list @t4)) % 0.46/0.88 (define @t39 () (@list @t14)) % 0.46/0.88 (define @t40 () (_ tptp.perm_name_pi_Rep tptp.nil_Pr743626285e_name)) % 0.46/0.88 (define @t41 () (@list @t22)) % 0.46/0.88 (define @t42 () (@list @t26)) % 0.46/0.88 (define @t43 () (@var "Y1" tptp.name)) % 0.46/0.88 (define @t44 () (@var "X1" tptp.name)) % 0.46/0.88 (define @t45 () (= @t44 @t43)) % 0.46/0.88 (define @t46 () (_ tptp.late_BoundOutputS @t44)) % 0.46/0.88 (define @t47 () (@list @t44 @t43)) % 0.46/0.88 (define @t48 () (@var "Y2" tptp.name)) % 0.46/0.88 (define @t49 () (@var "X2" tptp.name)) % 0.46/0.88 (define @t50 () (= @t49 @t48)) % 0.46/0.88 (define @t51 () (_ tptp.fresh_name_pi tptp.y)) % 0.46/0.88 (define @t52 () (@var "Y22" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t53 () (@var "X22" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t54 () (@var "Y21" tptp.produc367475239e_name)) % 0.46/0.88 (define @t55 () (@var "X21" tptp.produc367475239e_name)) % 0.46/0.88 (define @t56 () (_ (_ tptp.cons_P1213805021e_name @t55) @t53)) % 0.46/0.88 (define @t57 () (@var "Y2" tptp.product_prod_pi_pi)) % 0.46/0.88 (define @t58 () (@var "X2" tptp.product_prod_pi_pi)) % 0.46/0.88 (define @t59 () (@var "Y2" tptp.pi)) % 0.46/0.88 (define @t60 () (@var "X2" tptp.pi)) % 0.46/0.88 (define @t61 () (= @t60 @t59)) % 0.46/0.88 (define @t62 () (@var "Y1" tptp.pi)) % 0.46/0.88 (define @t63 () (@var "X1" tptp.pi)) % 0.46/0.88 (define @t64 () (= @t63 @t62)) % 0.46/0.88 (define @t65 () (@var "B2" tptp.name)) % 0.46/0.88 (define @t66 () (= @t5 @t65)) % 0.46/0.88 (define @t67 () (@var "A2" tptp.name)) % 0.46/0.88 (define @t68 () (= @t6 @t67)) % 0.46/0.88 (define @t69 () (= @t8 (_ (_ tptp.produc1570949143e_name @t67) @t65))) % 0.46/0.88 (define @t70 () (@list @t6 @t5 @t67 @t65)) % 0.46/0.88 (define @t71 () (@var "B2" tptp.product_prod_pi_pi)) % 0.46/0.88 (define @t72 () (@var "B" tptp.product_prod_pi_pi)) % 0.46/0.88 (define @t73 () (= @t72 @t71)) % 0.46/0.88 (define @t74 () (= (_ (_ tptp.produc235456326_pi_pi @t6) @t72) (_ (_ tptp.produc235456326_pi_pi @t67) @t71))) % 0.46/0.88 (define @t75 () (@list @t6 @t72 @t67 @t71)) % 0.46/0.88 (define @t76 () (@var "B2" tptp.pi)) % 0.46/0.88 (define @t77 () (@var "B" tptp.pi)) % 0.46/0.88 (define @t78 () (= @t77 @t76)) % 0.46/0.88 (define @t79 () (@var "A2" tptp.pi)) % 0.46/0.88 (define @t80 () (@var "A" tptp.pi)) % 0.46/0.88 (define @t81 () (= @t80 @t79)) % 0.46/0.88 (define @t82 () (_ tptp.product_Pair_pi_pi @t80)) % 0.46/0.88 (define @t83 () (_ @t82 @t77)) % 0.46/0.88 (define @t84 () (= @t83 (_ (_ tptp.product_Pair_pi_pi @t79) @t76))) % 0.46/0.88 (define @t85 () (@list @t80 @t77 @t79 @t76)) % 0.46/0.88 (define @t86 () (@var "Residual_Rep" tptp.late_residual_Rep)) % 0.46/0.88 (define @t87 () (@var "Subject_Rep" tptp.late_subject_Rep)) % 0.46/0.88 (define @t88 () (@var "FreeRes_Rep" tptp.late_freeRes_Rep)) % 0.46/0.88 (define @t89 () (@var "Pi_Rep" tptp.pi_Rep)) % 0.46/0.88 (define @t90 () (@var "Pi" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t91 () (_ tptp.perm_name_name @t90)) % 0.46/0.88 (define @t92 () (_ @t91 @t44)) % 0.46/0.88 (define @t93 () (_ tptp.perm_n1559866809ubject @t90)) % 0.46/0.88 (define @t94 () (@list @t90 @t44)) % 0.46/0.88 (define @t95 () (_ tptp.fresh_name_pi_Rep @t6)) % 0.46/0.88 (define @t96 () (_ @t95 @t18)) % 0.46/0.88 (define @t97 () (_ tptp.fresh_717452603ubject @t6)) % 0.46/0.88 (define @t98 () (_ @t97 @t4)) % 0.46/0.88 (define @t99 () (_ tptp.fresh_1641682979reeRes @t6)) % 0.46/0.88 (define @t100 () (_ @t99 @t14)) % 0.46/0.88 (define @t101 () (@var "X" tptp.produc1141751126_pi_pi)) % 0.46/0.88 (define @t102 () (_ (_ tptp.perm_n1255502110_pi_pi @t10) @t101)) % 0.46/0.88 (define @t103 () (_ tptp.fresh_1376661020_pi_pi @t6)) % 0.46/0.88 (define @t104 () (_ @t103 @t101)) % 0.46/0.88 (define @t105 () (_ tptp.fresh_name_name @t6)) % 0.46/0.88 (define @t106 () (_ @t105 @t22)) % 0.46/0.88 (define @t107 () (_ tptp.fresh_name_pi @t6)) % 0.46/0.88 (define @t108 () (_ @t107 @t26)) % 0.46/0.88 (define @t109 () (@var "Y" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t110 () (_ tptp.perm_n675238095_pi_pi @t90)) % 0.46/0.88 (define @t111 () (@var "X3" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t112 () (_ @t110 @t111)) % 0.46/0.88 (define @t113 () (_ tptp.perm_name_o @t90)) % 0.46/0.88 (define @t114 () (_ tptp.perm_name_pi_Rep @t90)) % 0.46/0.88 (define @t115 () (_ @t114 @t18)) % 0.46/0.88 (define @t116 () (_ (_ tptp.fresh_922791155e_name @t6) @t90)) % 0.46/0.88 (define @t117 () (_ @t93 @t4)) % 0.46/0.88 (define @t118 () (_ tptp.perm_n336613537reeRes @t90)) % 0.46/0.88 (define @t119 () (_ @t118 @t14)) % 0.46/0.88 (define @t120 () (_ (_ tptp.perm_n1255502110_pi_pi @t90) @t101)) % 0.46/0.88 (define @t121 () (_ @t91 @t22)) % 0.46/0.88 (define @t122 () (_ tptp.perm_name_pi @t90)) % 0.46/0.88 (define @t123 () (_ @t122 @t26)) % 0.46/0.88 (define @t124 () (@var "C" tptp.name)) % 0.46/0.88 (define @t125 () (@list @t124)) % 0.46/0.88 (define @t126 () (_ @t91 @t6)) % 0.46/0.88 (define @t127 () (_ (_ tptp.fresh_name_pi_Rep @t126) @t115)) % 0.46/0.88 (define @t128 () (@list @t90 @t6 @t18)) % 0.46/0.88 (define @t129 () (_ (_ tptp.fresh_717452603ubject @t126) @t117)) % 0.46/0.88 (define @t130 () (@list @t90 @t6 @t4)) % 0.46/0.88 (define @t131 () (_ (_ tptp.fresh_1641682979reeRes @t126) @t119)) % 0.46/0.88 (define @t132 () (@list @t90 @t6 @t14)) % 0.46/0.88 (define @t133 () (_ (_ tptp.fresh_1376661020_pi_pi @t126) @t120)) % 0.46/0.88 (define @t134 () (@list @t90 @t6 @t101)) % 0.46/0.88 (define @t135 () (_ (_ tptp.fresh_name_name @t126) @t121)) % 0.46/0.88 (define @t136 () (@list @t90 @t6 @t22)) % 0.46/0.88 (define @t137 () (_ (_ tptp.fresh_name_pi @t126) @t123)) % 0.46/0.88 (define @t138 () (@list @t90 @t6 @t26)) % 0.46/0.88 (define @t139 () (@var "Xs" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t140 () (@var "Y3" tptp.produc367475239e_name)) % 0.46/0.88 (define @t141 () (_ tptp.cons_P1213805021e_name @t140)) % 0.46/0.88 (define @t142 () (_ @t141 @t139)) % 0.46/0.88 (define @t143 () (@var "X4" tptp.produc367475239e_name)) % 0.46/0.88 (define @t144 () (_ tptp.cons_P1213805021e_name @t143)) % 0.46/0.88 (define @t145 () (_ @t144 @t142)) % 0.46/0.88 (define @t146 () (@var "P" (-> tptp.produc367475239e_name tptp.produc367475239e_name Bool))) % 0.46/0.88 (define @t147 () (_ tptp.produc1069608854e_name @t146)) % 0.46/0.88 (define @t148 () (@var "X" tptp.produc1872410278e_name)) % 0.46/0.88 (define @t149 () (@list @t146 @t143 @t140 @t139)) % 0.46/0.88 (define @t150 () (_ @t144 tptp.nil_Pr743626285e_name)) % 0.46/0.88 (define @t151 () (@list @t146 @t143)) % 0.46/0.88 (define @t152 () (@list @t146)) % 0.46/0.88 (define @t153 () (forall @t152 (not (= @t148 (_ @t147 tptp.nil_Pr743626285e_name))))) % 0.46/0.88 (define @t154 () (@list @t148)) % 0.46/0.88 (define @t155 () (@var "Ys" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t156 () (_ @t144 @t155)) % 0.46/0.88 (define @t157 () (@list @t146 @t143 @t155)) % 0.46/0.88 (define @t158 () (_ @t141 @t155)) % 0.46/0.88 (define @t159 () (_ @t144 @t139)) % 0.46/0.88 (define @t160 () (_ tptp.produc208131031e_name @t159)) % 0.46/0.88 (define @t161 () (@var "X" tptp.produc890461031e_name)) % 0.46/0.88 (define @t162 () (@list @t143 @t139 @t140 @t155)) % 0.46/0.88 (define @t163 () (@list @t139)) % 0.46/0.88 (define @t164 () (forall (@list @t155) (not (= @t161 (_ (_ tptp.produc208131031e_name tptp.nil_Pr743626285e_name) @t155))))) % 0.46/0.88 (define @t165 () (@list @t161)) % 0.46/0.88 (define @t166 () (@list @t143 @t139 @t155)) % 0.46/0.88 (define @t167 () (@list @t6 @t5)) % 0.46/0.88 (define @t168 () (@var "C2" tptp.name)) % 0.46/0.88 (define @t169 () (_ tptp.fresh_name_pi_Rep @t168)) % 0.46/0.88 (define @t170 () (not (= @t168 @t6))) % 0.46/0.88 (define @t171 () (_ tptp.fresh_717452603ubject @t168)) % 0.46/0.88 (define @t172 () (_ tptp.fresh_1641682979reeRes @t168)) % 0.46/0.88 (define @t173 () (_ tptp.fresh_1376661020_pi_pi @t168)) % 0.46/0.88 (define @t174 () (_ tptp.fresh_name_name @t168)) % 0.46/0.88 (define @t175 () (_ tptp.fresh_name_pi @t168)) % 0.46/0.88 (define @t176 () (@var "Prod" tptp.produc367475239e_name)) % 0.46/0.88 (define @t177 () (@var "P2" (-> tptp.produc367475239e_name Bool))) % 0.46/0.88 (define @t178 () (@var "B3" tptp.name)) % 0.46/0.88 (define @t179 () (@var "A3" tptp.name)) % 0.46/0.88 (define @t180 () (_ (_ tptp.produc1570949143e_name @t179) @t178)) % 0.46/0.88 (define @t181 () (@list @t179 @t178)) % 0.46/0.88 (define @t182 () (forall @t181 (_ @t177 @t180))) % 0.46/0.88 (define @t183 () (@var "Prod" tptp.produc1141751126_pi_pi)) % 0.46/0.88 (define @t184 () (@var "P2" (-> tptp.produc1141751126_pi_pi Bool))) % 0.46/0.88 (define @t185 () (@var "B3" tptp.product_prod_pi_pi)) % 0.46/0.88 (define @t186 () (_ tptp.produc235456326_pi_pi @t179)) % 0.46/0.88 (define @t187 () (_ @t186 @t185)) % 0.46/0.88 (define @t188 () (@list @t179 @t185)) % 0.46/0.88 (define @t189 () (forall @t188 (_ @t184 @t187))) % 0.46/0.88 (define @t190 () (@var "Prod" tptp.product_prod_pi_pi)) % 0.46/0.88 (define @t191 () (@var "P2" (-> tptp.product_prod_pi_pi Bool))) % 0.46/0.88 (define @t192 () (@var "B3" tptp.pi)) % 0.46/0.88 (define @t193 () (@var "A3" tptp.pi)) % 0.46/0.88 (define @t194 () (_ (_ tptp.product_Pair_pi_pi @t193) @t192)) % 0.46/0.88 (define @t195 () (@list @t193 @t192)) % 0.46/0.88 (define @t196 () (forall @t195 (_ @t191 @t194))) % 0.46/0.88 (define @t197 () (@var "Y4" tptp.produc367475239e_name)) % 0.46/0.88 (define @t198 () (@var "Y4" tptp.produc1141751126_pi_pi)) % 0.46/0.88 (define @t199 () (@list @t198)) % 0.46/0.88 (define @t200 () (@var "Y4" tptp.product_prod_pi_pi)) % 0.46/0.88 (define @t201 () (@var "A" tptp.product_prod_pi_pi)) % 0.46/0.88 (define @t202 () (@var "A4" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t203 () (@var "X5" tptp.product_prod_pi_pi)) % 0.46/0.88 (define @t204 () (_ tptp.member558706512_pi_pi @t203)) % 0.46/0.88 (define @t205 () (@var "C" tptp.pi)) % 0.46/0.88 (define @t206 () (_ @t186 (_ (_ tptp.product_Pair_pi_pi @t192) @t205))) % 0.46/0.88 (define @t207 () (@list @t179 @t192 @t205)) % 0.46/0.88 (define @t208 () (@var "P3" tptp.produc367475239e_name)) % 0.46/0.88 (define @t209 () (@var "P3" tptp.produc1141751126_pi_pi)) % 0.46/0.88 (define @t210 () (@var "P3" tptp.product_prod_pi_pi)) % 0.46/0.88 (define @t211 () (@var "Y3" tptp.name)) % 0.46/0.88 (define @t212 () (@var "X4" tptp.name)) % 0.46/0.88 (define @t213 () (_ tptp.produc1570949143e_name @t212)) % 0.46/0.88 (define @t214 () (_ @t213 @t211)) % 0.46/0.88 (define @t215 () (@list @t212 @t211)) % 0.46/0.88 (define @t216 () (@list @t208)) % 0.46/0.88 (define @t217 () (@var "Y3" tptp.product_prod_pi_pi)) % 0.46/0.88 (define @t218 () (_ (_ tptp.produc235456326_pi_pi @t212) @t217)) % 0.46/0.88 (define @t219 () (@list @t212 @t217)) % 0.46/0.88 (define @t220 () (@var "Y3" tptp.pi)) % 0.46/0.88 (define @t221 () (@var "X4" tptp.pi)) % 0.46/0.88 (define @t222 () (_ tptp.product_Pair_pi_pi @t221)) % 0.46/0.88 (define @t223 () (_ @t222 @t220)) % 0.46/0.88 (define @t224 () (@list @t221 @t220)) % 0.46/0.88 (define @t225 () (@list @t210)) % 0.46/0.88 (define @t226 () (@var "Xs2" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t227 () (@var "X" tptp.produc367475239e_name)) % 0.46/0.88 (define @t228 () (@var "Pi1" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t229 () (_ tptp.perm_n1559866809ubject @t228)) % 0.46/0.88 (define @t230 () (_ @t229 @t4)) % 0.46/0.88 (define @t231 () (@var "Pi2" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t232 () (_ (_ tptp.perm_n1160739829e_name @t228) @t231)) % 0.46/0.88 (define @t233 () (_ tptp.perm_n1559866809ubject @t231)) % 0.46/0.88 (define @t234 () (_ @t233 @t4)) % 0.46/0.88 (define @t235 () (_ tptp.perm_n336613537reeRes @t228)) % 0.46/0.88 (define @t236 () (_ @t235 @t14)) % 0.46/0.88 (define @t237 () (_ tptp.perm_n336613537reeRes @t231)) % 0.46/0.88 (define @t238 () (_ @t237 @t14)) % 0.46/0.88 (define @t239 () (_ tptp.perm_name_pi_Rep @t228)) % 0.46/0.88 (define @t240 () (_ @t239 @t18)) % 0.46/0.88 (define @t241 () (_ tptp.perm_name_pi_Rep @t231)) % 0.46/0.88 (define @t242 () (_ @t241 @t18)) % 0.46/0.88 (define @t243 () (_ tptp.perm_name_name @t228)) % 0.46/0.88 (define @t244 () (_ @t243 @t22)) % 0.46/0.88 (define @t245 () (_ tptp.perm_name_name @t231)) % 0.46/0.88 (define @t246 () (_ @t245 @t22)) % 0.46/0.88 (define @t247 () (_ tptp.perm_name_pi @t228)) % 0.46/0.88 (define @t248 () (_ @t247 @t26)) % 0.46/0.88 (define @t249 () (_ tptp.perm_name_pi @t231)) % 0.46/0.88 (define @t250 () (_ @t249 @t26)) % 0.46/0.88 (define @t251 () (_ (_ tptp.perm_n1160739829e_name @t231) @t228)) % 0.46/0.88 (define @t252 () (@var "Y4" tptp.late_subject)) % 0.46/0.88 (define @t253 () (= @t4 @t252)) % 0.46/0.88 (define @t254 () (_ @t93 @t252)) % 0.46/0.88 (define @t255 () (= @t117 @t254)) % 0.46/0.88 (define @t256 () (@list @t90 @t4 @t252)) % 0.46/0.88 (define @t257 () (@var "Y4" tptp.late_freeRes)) % 0.46/0.88 (define @t258 () (= @t14 @t257)) % 0.46/0.88 (define @t259 () (_ @t118 @t257)) % 0.46/0.88 (define @t260 () (= @t119 @t259)) % 0.46/0.88 (define @t261 () (@list @t90 @t14 @t257)) % 0.46/0.88 (define @t262 () (@var "Y4" tptp.pi_Rep)) % 0.46/0.88 (define @t263 () (= @t18 @t262)) % 0.46/0.88 (define @t264 () (_ @t114 @t262)) % 0.46/0.88 (define @t265 () (= @t115 @t264)) % 0.46/0.88 (define @t266 () (@list @t90 @t18 @t262)) % 0.46/0.88 (define @t267 () (@var "Y4" tptp.name)) % 0.46/0.88 (define @t268 () (= @t22 @t267)) % 0.46/0.88 (define @t269 () (_ @t91 @t267)) % 0.46/0.88 (define @t270 () (= @t121 @t269)) % 0.46/0.88 (define @t271 () (@list @t90 @t22 @t267)) % 0.46/0.88 (define @t272 () (@var "Y4" tptp.pi)) % 0.46/0.88 (define @t273 () (= @t26 @t272)) % 0.46/0.88 (define @t274 () (_ @t122 @t272)) % 0.46/0.88 (define @t275 () (= @t123 @t274)) % 0.46/0.88 (define @t276 () (@list @t90 @t26 @t272)) % 0.46/0.88 (define @t277 () (@var "F" (-> tptp.late_subject tptp.late_subject))) % 0.46/0.88 (define @t278 () (@var "F" (-> tptp.late_freeRes tptp.late_subject))) % 0.46/0.88 (define @t279 () (@var "F" (-> tptp.pi_Rep tptp.late_subject))) % 0.46/0.88 (define @t280 () (@var "F" (-> tptp.name tptp.late_subject))) % 0.46/0.88 (define @t281 () (@var "F" (-> tptp.pi tptp.late_subject))) % 0.46/0.88 (define @t282 () (@var "F" (-> tptp.late_subject tptp.late_freeRes))) % 0.46/0.88 (define @t283 () (@var "F" (-> tptp.late_freeRes tptp.late_freeRes))) % 0.46/0.88 (define @t284 () (@var "F" (-> tptp.pi_Rep tptp.late_freeRes))) % 0.46/0.88 (define @t285 () (@var "F" (-> tptp.name tptp.late_freeRes))) % 0.46/0.88 (define @t286 () (@var "F" (-> tptp.pi tptp.late_freeRes))) % 0.46/0.88 (define @t287 () (@var "X" tptp.product_prod_pi_pi)) % 0.46/0.88 (define @t288 () (@var "X3" tptp.set_Late_subject)) % 0.46/0.88 (define @t289 () (@var "X3" tptp.set_Late_freeRes)) % 0.46/0.88 (define @t290 () (@var "X3" tptp.set_pi_Rep)) % 0.46/0.88 (define @t291 () (@var "X3" tptp.set_name)) % 0.46/0.88 (define @t292 () (@var "X3" tptp.set_pi)) % 0.46/0.88 (define @t293 () (@var "A22" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t294 () (@var "A1" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t295 () (@var "A0" (-> tptp.produc367475239e_name tptp.produc367475239e_name))) % 0.46/0.88 (define @t296 () (@var "P2" (-> (-> tptp.produc367475239e_name tptp.produc367475239e_name) tptp.list_P227219501e_name tptp.list_P227219501e_name Bool))) % 0.46/0.88 (define @t297 () (@var "Bs" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t298 () (@var "As" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t299 () (@var "A3" tptp.produc367475239e_name)) % 0.46/0.88 (define @t300 () (@var "F2" (-> tptp.produc367475239e_name tptp.produc367475239e_name))) % 0.46/0.88 (define @t301 () (_ @t296 @t300)) % 0.46/0.88 (define @t302 () (@var "X_1" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t303 () (@var "P2" (-> tptp.list_P227219501e_name Bool))) % 0.46/0.88 (define @t304 () (_ @t303 @t226)) % 0.46/0.88 (define @t305 () (_ @t303 @t159)) % 0.46/0.88 (define @t306 () (@list @t143 @t139)) % 0.46/0.88 (define @t307 () (@list @t143)) % 0.46/0.88 (define @t308 () (forall @t307 (_ @t303 @t150))) % 0.46/0.88 (define @t309 () (not (= @t226 tptp.nil_Pr743626285e_name))) % 0.46/0.88 (define @t310 () (@var "A0" (-> tptp.produc367475239e_name tptp.produc367475239e_name Bool))) % 0.46/0.88 (define @t311 () (@var "P2" (-> (-> tptp.produc367475239e_name tptp.produc367475239e_name Bool) tptp.list_P227219501e_name Bool))) % 0.46/0.88 (define @t312 () (_ (_ @t311 @t310) @t294)) % 0.46/0.88 (define @t313 () (_ @t311 @t146)) % 0.46/0.88 (define @t314 () (forall @t152 (_ @t313 tptp.nil_Pr743626285e_name))) % 0.46/0.88 (define @t315 () (@list @t311 @t310 @t294)) % 0.46/0.88 (define @t316 () (@var "A0" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t317 () (= @t143 @t140)) % 0.46/0.88 (define @t318 () (@list @t143 @t140 @t139)) % 0.46/0.88 (define @t319 () (_ @t303 tptp.nil_Pr743626285e_name)) % 0.46/0.88 (define @t320 () (@var "X" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t321 () (@var "Xss" tptp.list_l1406151091e_name)) % 0.46/0.88 (define @t322 () (@var "X" tptp.list_l1406151091e_name)) % 0.46/0.88 (define @t323 () (@var "P2" (-> tptp.list_P227219501e_name tptp.list_P227219501e_name Bool))) % 0.46/0.88 (define @t324 () (_ (_ @t323 @t316) @t294)) % 0.46/0.88 (define @t325 () (_ @t323 @t159)) % 0.46/0.88 (define @t326 () (_ @t325 @t158)) % 0.46/0.88 (define @t327 () (_ @t325 @t155)) % 0.46/0.88 (define @t328 () (_ @t323 @t139)) % 0.46/0.88 (define @t329 () (_ @t323 tptp.nil_Pr743626285e_name)) % 0.46/0.88 (define @t330 () (@list @t302)) % 0.46/0.88 (define @t331 () (forall @t330 (_ @t329 @t302))) % 0.46/0.88 (define @t332 () (@list @t323 @t316 @t294)) % 0.46/0.88 (define @t333 () (@var "Zs" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t334 () (_ @t141 @t333)) % 0.46/0.88 (define @t335 () (@var "Ys2" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t336 () (@var "Ys3" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t337 () (@var "Y5" tptp.produc367475239e_name)) % 0.46/0.88 (define @t338 () (@var "List" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t339 () (@var "X23" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t340 () (@var "X12" tptp.produc367475239e_name)) % 0.46/0.88 (define @t341 () (@var "X222" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t342 () (@var "X212" tptp.produc367475239e_name)) % 0.46/0.88 (define @t343 () (@var "Y4" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t344 () (= @t6 @t5)) % 0.46/0.88 (define @t345 () (_ @t97 @t252)) % 0.46/0.88 (define @t346 () (_ (_ tptp.produc1465345179ubject @t4) @t252)) % 0.46/0.88 (define @t347 () (_ @t99 @t257)) % 0.46/0.88 (define @t348 () (_ (_ tptp.produc242091907reeRes @t4) @t257)) % 0.46/0.88 (define @t349 () (_ @t105 @t267)) % 0.46/0.88 (define @t350 () (_ (_ tptp.produc1647375838t_name @t4) @t267)) % 0.46/0.88 (define @t351 () (_ @t107 @t272)) % 0.46/0.88 (define @t352 () (_ (_ tptp.produc324947500ect_pi @t4) @t272)) % 0.46/0.88 (define @t353 () (_ (_ tptp.produc320590723ubject @t14) @t252)) % 0.46/0.88 (define @t354 () (_ (_ tptp.produc1244821099reeRes @t14) @t257)) % 0.46/0.88 (define @t355 () (_ (_ tptp.produc1701355766s_name @t14) @t267)) % 0.46/0.88 (define @t356 () (_ (_ tptp.produc1177552196Res_pi @t14) @t272)) % 0.46/0.88 (define @t357 () (@var "Rel" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t358 () (@var "A" tptp.late_subject)) % 0.46/0.88 (define @t359 () (@var "P2" tptp.pi)) % 0.46/0.88 (define @t360 () (_ tptp.strong2129052853vative @t359)) % 0.46/0.88 (define @t361 () (_ (_ (_ (_ @t360 @t359) @t358) @t22) @t357)) % 0.46/0.88 (define @t362 () (_ @t1 @t357)) % 0.46/0.88 (define @t363 () (@list @t357 @t359 @t358 @t22)) % 0.46/0.88 (define @t364 () (forall @t363 (=> @t362 @t361))) % 0.46/0.88 (define @t365 () (@var "Perm" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t366 () (_ tptp.perm_name_name @t365)) % 0.46/0.88 (define @t367 () (_ @t366 @t22)) % 0.46/0.88 (define @t368 () (_ tptp.perm_n1559866809ubject @t365)) % 0.46/0.88 (define @t369 () (@var "Q" tptp.pi)) % 0.46/0.88 (define @t370 () (_ tptp.perm_name_pi @t365)) % 0.46/0.88 (define @t371 () (_ @t370 @t369)) % 0.46/0.88 (define @t372 () (_ @t370 @t359)) % 0.46/0.88 (define @t373 () (_ (_ tptp.strong2129052853vative @t372) @t371)) % 0.46/0.88 (define @t374 () (_ tptp.eqvt_pi @t357)) % 0.46/0.88 (define @t375 () (_ (_ (_ @t360 @t369) @t358) @t22)) % 0.46/0.88 (define @t376 () (_ @t375 @t357)) % 0.46/0.88 (define @t377 () (@list @t359 @t369 @t358 @t22 @t357 @t365)) % 0.46/0.88 (define @t378 () (@var "Rel" tptp.set_Pr806375235ubject)) % 0.46/0.88 (define @t379 () (@var "Q" tptp.late_subject)) % 0.46/0.88 (define @t380 () (@var "P2" tptp.late_subject)) % 0.46/0.88 (define @t381 () (_ (_ tptp.member1586545036ubject (_ (_ tptp.produc1465345179ubject (_ @t368 @t380)) (_ @t368 @t379))) @t378)) % 0.46/0.88 (define @t382 () (_ (_ tptp.member1586545036ubject (_ (_ tptp.produc1465345179ubject @t380) @t379)) @t378)) % 0.46/0.88 (define @t383 () (_ tptp.eqvt_Late_subject @t378)) % 0.46/0.88 (define @t384 () (@var "Rel" tptp.set_Pr1780909331reeRes)) % 0.46/0.88 (define @t385 () (@var "Q" tptp.late_freeRes)) % 0.46/0.88 (define @t386 () (_ tptp.perm_n336613537reeRes @t365)) % 0.46/0.88 (define @t387 () (@var "P2" tptp.late_freeRes)) % 0.46/0.88 (define @t388 () (_ (_ tptp.member1584979804reeRes (_ (_ tptp.produc1244821099reeRes (_ @t386 @t387)) (_ @t386 @t385))) @t384)) % 0.46/0.88 (define @t389 () (_ (_ tptp.member1584979804reeRes (_ (_ tptp.produc1244821099reeRes @t387) @t385)) @t384)) % 0.46/0.88 (define @t390 () (_ tptp.eqvt_Late_freeRes @t384)) % 0.46/0.88 (define @t391 () (@var "Rel" tptp.set_Pr1131282415pi_Rep)) % 0.46/0.88 (define @t392 () (@var "Q" tptp.pi_Rep)) % 0.46/0.88 (define @t393 () (_ tptp.perm_name_pi_Rep @t365)) % 0.46/0.88 (define @t394 () (@var "P2" tptp.pi_Rep)) % 0.46/0.88 (define @t395 () (_ (_ tptp.member1671908408pi_Rep (_ (_ tptp.produc784048711pi_Rep (_ @t393 @t394)) (_ @t393 @t392))) @t391)) % 0.46/0.88 (define @t396 () (_ (_ tptp.member1671908408pi_Rep (_ (_ tptp.produc784048711pi_Rep @t394) @t392)) @t391)) % 0.46/0.88 (define @t397 () (_ tptp.eqvt_pi_Rep @t391)) % 0.46/0.88 (define @t398 () (@var "Rel" tptp.set_Pr443758855e_name)) % 0.46/0.88 (define @t399 () (@var "Q" tptp.name)) % 0.46/0.88 (define @t400 () (@var "P2" tptp.name)) % 0.46/0.88 (define @t401 () (_ (_ tptp.member695284560e_name (_ (_ tptp.produc1570949143e_name (_ @t366 @t400)) (_ @t366 @t399))) @t398)) % 0.46/0.88 (define @t402 () (_ (_ tptp.member695284560e_name (_ (_ tptp.produc1570949143e_name @t400) @t399)) @t398)) % 0.46/0.88 (define @t403 () (_ tptp.eqvt_name @t398)) % 0.46/0.88 (define @t404 () (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t372) @t371)) @t357)) % 0.46/0.88 (define @t405 () (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t359) @t369)) @t357)) % 0.46/0.88 (define @t406 () (_ @t105 @t44)) % 0.46/0.88 (define @t407 () (@list @t6 @t44)) % 0.46/0.88 (define @t408 () (@var "C22" tptp.late_subject)) % 0.46/0.88 (define @t409 () (@var "C1" tptp.late_subject)) % 0.46/0.88 (define @t410 () (@var "B" Bool)) % 0.46/0.88 (define @t411 () (_ @t93 (_ (_ (_ tptp.if_Late_subject @t410) @t409) @t408))) % 0.46/0.88 (define @t412 () (_ @t113 @t410)) % 0.46/0.88 (define @t413 () (not @t412)) % 0.46/0.88 (define @t414 () (@var "C22" tptp.late_freeRes)) % 0.46/0.88 (define @t415 () (@var "C1" tptp.late_freeRes)) % 0.46/0.88 (define @t416 () (_ @t118 (_ (_ (_ tptp.if_Late_freeRes @t410) @t415) @t414))) % 0.46/0.88 (define @t417 () (@var "C22" tptp.pi_Rep)) % 0.46/0.88 (define @t418 () (@var "C1" tptp.pi_Rep)) % 0.46/0.88 (define @t419 () (_ @t114 (_ (_ (_ tptp.if_pi_Rep @t410) @t418) @t417))) % 0.46/0.88 (define @t420 () (@var "C22" tptp.name)) % 0.46/0.88 (define @t421 () (@var "C1" tptp.name)) % 0.46/0.88 (define @t422 () (_ @t91 (_ (_ (_ tptp.if_name @t410) @t421) @t420))) % 0.46/0.88 (define @t423 () (@var "C22" tptp.pi)) % 0.46/0.88 (define @t424 () (@var "C1" tptp.pi)) % 0.46/0.88 (define @t425 () (_ @t122 (_ (_ (_ tptp.if_pi @t410) @t424) @t423))) % 0.46/0.88 (define @t426 () (@var "C2" Bool)) % 0.46/0.88 (define @t427 () (_ @t93 (_ (_ (_ tptp.if_Late_subject @t426) @t4) @t252))) % 0.46/0.88 (define @t428 () (not @t426)) % 0.46/0.88 (define @t429 () (_ @t118 (_ (_ (_ tptp.if_Late_freeRes @t426) @t14) @t257))) % 0.46/0.88 (define @t430 () (_ @t114 (_ (_ (_ tptp.if_pi_Rep @t426) @t18) @t262))) % 0.46/0.88 (define @t431 () (_ @t91 (_ (_ (_ tptp.if_name @t426) @t22) @t267))) % 0.46/0.88 (define @t432 () (_ @t122 (_ (_ (_ tptp.if_pi @t426) @t26) @t272))) % 0.46/0.88 (define @t433 () (@var "Xs2" tptp.list_Late_subject)) % 0.46/0.88 (define @t434 () (_ tptp.perm_n1812647369ubject @t90)) % 0.46/0.88 (define @t435 () (_ (_ tptp.cons_Late_subject @t4) @t433)) % 0.46/0.88 (define @t436 () (@var "Xs2" tptp.list_Late_freeRes)) % 0.46/0.88 (define @t437 () (_ tptp.perm_n808352945reeRes @t90)) % 0.46/0.88 (define @t438 () (_ (_ tptp.cons_Late_freeRes @t14) @t436)) % 0.46/0.88 (define @t439 () (@var "Xs2" tptp.list_pi_Rep)) % 0.46/0.88 (define @t440 () (_ tptp.perm_n729617823pi_Rep @t90)) % 0.46/0.88 (define @t441 () (@var "Xs2" tptp.list_name)) % 0.46/0.88 (define @t442 () (_ tptp.perm_name_list_name @t90)) % 0.46/0.88 (define @t443 () (_ (_ tptp.cons_name @t22) @t441)) % 0.46/0.88 (define @t444 () (@var "Xs2" tptp.list_pi)) % 0.46/0.88 (define @t445 () (_ tptp.perm_name_list_pi @t90)) % 0.46/0.88 (define @t446 () (_ (_ tptp.cons_pi @t26) @t444)) % 0.46/0.88 (define @t447 () (_ tptp.produc1570949143e_name @t22)) % 0.46/0.88 (define @t448 () (_ @t447 @t267)) % 0.46/0.88 (define @t449 () (_ (_ tptp.fresh_441084397e_name @t6) @t448)) % 0.46/0.88 (define @t450 () (@list @t6 @t22 @t267)) % 0.46/0.88 (define @t451 () (_ @t103 (_ (_ tptp.produc235456326_pi_pi @t22) @t200))) % 0.46/0.88 (define @t452 () (@list @t6 @t22 @t200)) % 0.46/0.88 (define @t453 () (_ tptp.fresh_1627595501_pi_pi @t6)) % 0.46/0.88 (define @t454 () (_ @t453 (_ (_ tptp.product_Pair_pi_pi @t26) @t272))) % 0.46/0.88 (define @t455 () (@list @t6 @t26 @t272)) % 0.46/0.88 (define @t456 () (_ tptp.fresh_838462539ubject @t6)) % 0.46/0.88 (define @t457 () (_ tptp.fresh_1981651763reeRes @t6)) % 0.46/0.88 (define @t458 () (@var "Xs2" tptp.list_P431515740_pi_pi)) % 0.46/0.88 (define @t459 () (_ tptp.fresh_1958133282_pi_pi @t6)) % 0.46/0.88 (define @t460 () (_ tptp.fresh_name_list_name @t6)) % 0.46/0.88 (define @t461 () (_ tptp.fresh_name_list_pi @t6)) % 0.46/0.88 (define @t462 () (@var "S" tptp.set_Pr443758855e_name)) % 0.46/0.88 (define @t463 () (@var "R" tptp.set_Pr443758855e_name)) % 0.46/0.88 (define @t464 () (_ tptp.member695284560e_name @t214)) % 0.46/0.88 (define @t465 () (@var "S" tptp.set_Pr1654044726_pi_pi)) % 0.46/0.88 (define @t466 () (@var "R" tptp.set_Pr1654044726_pi_pi)) % 0.46/0.88 (define @t467 () (_ tptp.member540268543_pi_pi @t218)) % 0.46/0.88 (define @t468 () (@var "S" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t469 () (@var "R" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t470 () (_ tptp.member558706512_pi_pi @t223)) % 0.46/0.88 (define @t471 () (@var "B4" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t472 () (_ (_ tptp.ord_le630093991_pi_pi @t202) @t471)) % 0.46/0.88 (define @t473 () (_ tptp.res tptp.x)) % 0.46/0.88 (define @t474 () (_ @t473 tptp.p)) % 0.46/0.88 (define @t475 () (_ (_ tptp.sum @t474) (_ @t473 tptp.q))) % 0.46/0.88 (define @t476 () (_ (_ tptp.sum tptp.p) tptp.q)) % 0.46/0.88 (define @t477 () (_ @t473 @t476)) % 0.46/0.88 (define @t478 () (@list @t202 @t471)) % 0.46/0.88 (define @t479 () (@var "X4" tptp.product_prod_pi_pi)) % 0.46/0.88 (define @t480 () (_ tptp.member558706512_pi_pi @t479)) % 0.46/0.88 (define @t481 () (@var "X" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t482 () (_ tptp.ord_le630093991_pi_pi @t481)) % 0.46/0.88 (define @t483 () (_ @t107 @t63)) % 0.46/0.88 (define @t484 () (_ (_ tptp.sum @t60) @t63)) % 0.46/0.88 (define @t485 () (_ @t122 @t63)) % 0.46/0.88 (define @t486 () (_ @t122 @t60)) % 0.46/0.88 (define @t487 () (@var "Pi3" tptp.pi)) % 0.46/0.88 (define @t488 () (@var "Name" tptp.name)) % 0.46/0.88 (define @t489 () (_ (_ tptp.res @t488) @t487)) % 0.46/0.88 (define @t490 () (@var "Pi2" tptp.pi)) % 0.46/0.88 (define @t491 () (@var "Pi1" tptp.pi)) % 0.46/0.88 (define @t492 () (_ (_ tptp.res @t6) @t359)) % 0.46/0.88 (define @t493 () (@var "C2" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t494 () (@var "F" (-> tptp.set_Pr1834926343_pi_pi tptp.set_Pr1834926343_pi_pi))) % 0.46/0.88 (define @t495 () (@var "A" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t496 () (_ tptp.ord_le630093991_pi_pi @t495)) % 0.46/0.88 (define @t497 () (@var "Y3" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t498 () (@var "X4" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t499 () (forall (@list @t498 @t497) (=> (_ (_ tptp.ord_le630093991_pi_pi @t498) @t497) (_ (_ tptp.ord_le630093991_pi_pi (_ @t494 @t498)) (_ @t494 @t497))))) % 0.46/0.88 (define @t500 () (@var "B" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t501 () (_ tptp.ord_le630093991_pi_pi @t500)) % 0.46/0.88 (define @t502 () (_ @t501 @t493)) % 0.46/0.88 (define @t503 () (=> @t502 (=> @t499 (_ @t496 (_ @t494 @t493))))) % 0.46/0.88 (define @t504 () (_ @t494 @t500)) % 0.46/0.88 (define @t505 () (@list @t495 @t494 @t500 @t493)) % 0.46/0.88 (define @t506 () (=> @t499 (_ (_ tptp.ord_le630093991_pi_pi (_ @t494 @t495)) @t493))) % 0.46/0.88 (define @t507 () (_ @t496 @t500)) % 0.46/0.88 (define @t508 () (@list @t495 @t500 @t494 @t493)) % 0.46/0.88 (define @t509 () (@var "X5" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t510 () (@var "Y5" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t511 () (@var "Z" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t512 () (@var "Y6" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t513 () (lambda (@list @t512 @t511) (= @t512 @t511))) % 0.46/0.88 (define @t514 () (@var "Y4" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t515 () (= @t481 @t514)) % 0.46/0.88 (define @t516 () (_ tptp.ord_le630093991_pi_pi @t514)) % 0.46/0.88 (define @t517 () (_ @t516 @t481)) % 0.46/0.88 (define @t518 () (_ @t482 @t514)) % 0.46/0.88 (define @t519 () (@list @t481 @t514)) % 0.46/0.88 (define @t520 () (_ @t496 @t493)) % 0.46/0.88 (define @t521 () (=> @t502 @t520)) % 0.46/0.88 (define @t522 () (@list @t495 @t500 @t493)) % 0.46/0.88 (define @t523 () (@var "A5" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t524 () (@var "B5" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t525 () (= @t495 @t500)) % 0.46/0.88 (define @t526 () (@var "Z2" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t527 () (_ @t175 @t359)) % 0.46/0.88 (define @t528 () (_ (_ tptp.produc1570949143e_name tptp.y) tptp.x)) % 0.46/0.88 (define @t529 () (_ (_ tptp.cons_P1213805021e_name @t528) tptp.nil_Pr743626285e_name)) % 0.46/0.88 (define @t530 () (_ (_ tptp.perm_name_pi @t529) tptp.p2)) % 0.46/0.88 (define @t531 () (_ tptp.late_BoundR @t3)) % 0.46/0.88 (define @t532 () (_ tptp.late_transitions @t477)) % 0.46/0.88 (define @t533 () (_ (_ (_ tptp.late_BoundR tptp.a) tptp.y) tptp.pq)) % 0.46/0.88 (define @t534 () (_ tptp.sum @t359)) % 0.46/0.88 (define @t535 () (_ @t534 @t369)) % 0.46/0.88 (define @t536 () (_ tptp.res @t22)) % 0.46/0.88 (define @t537 () (_ @t536 @t359)) % 0.46/0.88 (define @t538 () (@var "X32" tptp.late_subject)) % 0.46/0.88 (define @t539 () (_ tptp.perm_n414416632sidual @t90)) % 0.46/0.88 (define @t540 () (_ (_ tptp.fresh_717452603ubject @t267) @t358)) % 0.46/0.88 (define @t541 () (_ tptp.fresh_name_pi @t267)) % 0.46/0.88 (define @t542 () (_ @t541 @t359)) % 0.46/0.88 (define @t543 () (@var "P4" tptp.pi)) % 0.46/0.88 (define @t544 () (_ tptp.late_BoundR @t358)) % 0.46/0.88 (define @t545 () (_ @t544 @t22)) % 0.46/0.88 (define @t546 () (_ tptp.late_transitions @t359)) % 0.46/0.88 (define @t547 () (_ @t546 (_ @t545 @t543))) % 0.46/0.88 (define @t548 () (@list @t359 @t358 @t22 @t543 @t267)) % 0.46/0.88 (define @t549 () (_ tptp.res @t267)) % 0.46/0.88 (define @t550 () (_ @t549 @t543)) % 0.46/0.88 (define @t551 () (_ tptp.late_transitions (_ @t549 @t359))) % 0.46/0.88 (define @t552 () (_ @t551 (_ @t545 @t550))) % 0.46/0.88 (define @t553 () (not (= @t267 @t22))) % 0.46/0.88 (define @t554 () (_ @t541 @t543)) % 0.46/0.88 (define @t555 () (@var "Q2" tptp.pi)) % 0.46/0.88 (define @t556 () (@var "P5" tptp.pi)) % 0.46/0.88 (define @t557 () (_ @t546 (_ @t545 @t556))) % 0.46/0.88 (define @t558 () (@list @t556)) % 0.46/0.88 (define @t559 () (_ (_ tptp.fresh_name_pi @t22) @t359)) % 0.46/0.88 (define @t560 () (_ tptp.late_transitions @t369)) % 0.46/0.88 (define @t561 () (_ tptp.strong743114133lation @t359)) % 0.46/0.88 (define @t562 () (_ @t561 @t357)) % 0.46/0.88 (define @t563 () (_ @t562 @t369)) % 0.46/0.88 (define @t564 () (@var "Rs" tptp.late_residual)) % 0.46/0.88 (define @t565 () (_ (_ tptp.late_transitions @t535) @t564)) % 0.46/0.88 (define @t566 () (_ @t560 @t564)) % 0.46/0.88 (define @t567 () (_ @t546 @t564)) % 0.46/0.88 (define @t568 () (@var "X2" tptp.late_residual)) % 0.46/0.88 (define @t569 () (@list @t357 @t359)) % 0.46/0.88 (define @t570 () (_ @t534 @t359)) % 0.46/0.88 (define @t571 () (@var "R2" tptp.pi)) % 0.46/0.88 (define @t572 () (_ (_ tptp.sum @t535) @t571)) % 0.46/0.88 (define @t573 () (_ tptp.sum @t369)) % 0.46/0.88 (define @t574 () (_ @t534 (_ @t573 @t571))) % 0.46/0.88 (define @t575 () (@list @t357 @t359 @t369 @t571)) % 0.46/0.88 (define @t576 () (@var "Rel3" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t577 () (@var "X6" tptp.name)) % 0.46/0.88 (define @t578 () (_ (_ tptp.late_FreeR (_ (_ tptp.late_OutputR tptp.aa) tptp.x)) tptp.p2)) % 0.46/0.88 (define @t579 () (@var "Y12" tptp.name)) % 0.46/0.88 (define @t580 () (@var "X122" tptp.name)) % 0.46/0.88 (define @t581 () (@var "Y11" tptp.name)) % 0.46/0.88 (define @t582 () (@var "X11" tptp.name)) % 0.46/0.88 (define @t583 () (_ (_ tptp.late_OutputR @t49) @t44)) % 0.46/0.88 (define @t584 () (@var "X2" tptp.late_freeRes)) % 0.46/0.88 (define @t585 () (_ (_ tptp.late_FreeR @t584) @t63)) % 0.46/0.88 (define @t586 () (@var "FreeRes" tptp.late_freeRes)) % 0.46/0.88 (define @t587 () (@var "Pi" tptp.pi)) % 0.46/0.88 (define @t588 () (@var "Name2" tptp.name)) % 0.46/0.88 (define @t589 () (@var "Subject" tptp.late_subject)) % 0.46/0.88 (define @t590 () (@var "Residual" tptp.late_residual)) % 0.46/0.88 (define @t591 () (@var "P2" (-> tptp.late_residual Bool))) % 0.46/0.88 (define @t592 () (@var "Pi4" tptp.pi)) % 0.46/0.88 (define @t593 () (@var "FreeRes2" tptp.late_freeRes)) % 0.46/0.88 (define @t594 () (@var "Name3" tptp.name)) % 0.46/0.88 (define @t595 () (@var "Subject2" tptp.late_subject)) % 0.46/0.88 (define @t596 () (@var "Y2" tptp.late_freeRes)) % 0.46/0.88 (define @t597 () (@var "Alpha" tptp.late_freeRes)) % 0.46/0.88 (define @t598 () (_ tptp.late_FreeR @t597)) % 0.46/0.88 (define @t599 () (_ (_ tptp.fresh_1641682979reeRes @t267) @t597)) % 0.46/0.88 (define @t600 () (_ @t598 @t543)) % 0.46/0.88 (define @t601 () (_ @t546 @t600)) % 0.46/0.88 (define @t602 () (@list @t359 @t597 @t543 @t267)) % 0.46/0.88 (define @t603 () (@var "Alpha2" tptp.late_freeRes)) % 0.46/0.88 (define @t604 () (_ tptp.late_FreeR @t603)) % 0.46/0.88 (define @t605 () (@var "P" tptp.pi)) % 0.46/0.88 (define @t606 () (_ tptp.late_transitions @t605)) % 0.46/0.88 (define @t607 () (=> (_ @t606 (_ @t604 @t556)) (not (_ (_ tptp.fresh_1641682979reeRes @t211) @t603)))) % 0.46/0.88 (define @t608 () (_ tptp.res @t211)) % 0.46/0.88 (define @t609 () (_ @t608 @t556)) % 0.46/0.88 (define @t610 () (_ @t604 @t609)) % 0.46/0.88 (define @t611 () (_ @t608 @t605)) % 0.46/0.88 (define @t612 () (= @t537 @t611)) % 0.46/0.88 (define @t613 () (@list @t605 @t603 @t556 @t211)) % 0.46/0.88 (define @t614 () (_ tptp.late_transitions @t537)) % 0.46/0.88 (define @t615 () (@var "XP" tptp.pi)) % 0.46/0.88 (define @t616 () (@var "F3" (-> tptp.pi Bool))) % 0.46/0.88 (define @t617 () (_ @t546 (_ @t598 @t556))) % 0.46/0.88 (define @t618 () (@var "A3" tptp.late_subject)) % 0.46/0.88 (define @t619 () (_ tptp.late_BoundR @t618)) % 0.46/0.88 (define @t620 () (_ @t619 @t212)) % 0.46/0.88 (define @t621 () (=> (_ @t606 (_ @t620 @t556)) (=> (_ (_ tptp.fresh_717452603ubject @t211) @t618) (=> (not (= @t211 @t212)) (=> (_ (_ tptp.fresh_name_pi @t212) @t605) (not (_ (_ tptp.fresh_717452603ubject @t212) @t618))))))) % 0.46/0.88 (define @t622 () (_ @t620 @t609)) % 0.46/0.88 (define @t623 () (@var "Y7" tptp.name)) % 0.46/0.88 (define @t624 () (_ (_ @t544 @t623) @t543)) % 0.46/0.88 (define @t625 () (_ (_ tptp.res @t577) @t359)) % 0.46/0.88 (define @t626 () (@list @t605 @t618 @t212 @t556 @t211)) % 0.46/0.88 (define @t627 () (=> (_ @t606 (_ (_ tptp.late_FreeR (_ (_ tptp.late_OutputR @t179) @t178)) @t556)) (= @t179 @t178))) % 0.46/0.88 (define @t628 () (_ (_ (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t179)) @t178) @t556)) % 0.46/0.88 (define @t629 () (_ (_ tptp.res @t178) @t605)) % 0.46/0.88 (define @t630 () (@list @t605 @t179 @t178)) % 0.46/0.88 (define @t631 () (@var "YP" tptp.pi)) % 0.46/0.88 (define @t632 () (@var "F3" (-> tptp.late_subject tptp.pi Bool))) % 0.46/0.88 (define @t633 () (_ @t632 @t358)) % 0.46/0.88 (define @t634 () (_ tptp.perm_name_pi (_ (_ tptp.cons_P1213805021e_name @t448) tptp.nil_Pr743626285e_name))) % 0.46/0.88 (define @t635 () (_ tptp.late_BoundOutputS @t178)) % 0.46/0.88 (define @t636 () (@var "Q5" tptp.pi)) % 0.46/0.88 (define @t637 () (@var "P8" tptp.pi)) % 0.46/0.88 (define @t638 () (@list @t637)) % 0.46/0.88 (define @t639 () (_ @t619 @t211)) % 0.46/0.88 (define @t640 () (@var "Y22" tptp.pi)) % 0.46/0.88 (define @t641 () (@var "X22" tptp.pi)) % 0.46/0.88 (define @t642 () (@var "Y21" tptp.late_freeRes)) % 0.46/0.88 (define @t643 () (@var "X21" tptp.late_freeRes)) % 0.46/0.88 (define @t644 () (_ tptp.input @t6)) % 0.46/0.88 (define @t645 () (_ (_ @t644 @t22) @t359)) % 0.46/0.88 (define @t646 () (@var "X32" tptp.name)) % 0.46/0.88 (define @t647 () (@var "Pi22" tptp.pi)) % 0.46/0.88 (define @t648 () (@var "Pi12" tptp.pi)) % 0.46/0.88 (define @t649 () (@var "Name22" tptp.name)) % 0.46/0.88 (define @t650 () (@var "Name1" tptp.name)) % 0.46/0.88 (define @t651 () (_ (_ (_ tptp.input @t650) @t649) @t587)) % 0.46/0.88 (define @t652 () (_ tptp.late_transitions @t645)) % 0.46/0.88 (define @t653 () (_ tptp.late_transitions (_ @t536 (_ (_ @t644 @t267) @t359)))) % 0.46/0.88 (define @t654 () (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t5))) % 0.46/0.88 (define @t655 () (@var "B" tptp.late_subject)) % 0.46/0.88 (define @t656 () (_ (_ tptp.late_BoundR @t655) @t267)) % 0.46/0.88 (define @t657 () (@var "Z2" tptp.name)) % 0.46/0.88 (define @t658 () (@var "Prop" (-> tptp.late_subject tptp.name tptp.pi Bool))) % 0.46/0.88 (define @t659 () (_ @t634 @t359)) % 0.46/0.88 (define @t660 () (_ tptp.late_InputS @t6)) % 0.46/0.88 (define @t661 () (_ tptp.late_InputS @t44)) % 0.46/0.88 (define @t662 () (@list @t26 @t272)) % 0.46/0.88 (define @t663 () (@list @t22 @t267)) % 0.46/0.88 (define @t664 () (@list @t18 @t262)) % 0.46/0.88 (define @t665 () (@list @t14 @t257)) % 0.46/0.88 (define @t666 () (@var "P2" Bool)) % 0.46/0.88 (define @t667 () (@list @t4 @t252)) % 0.46/0.88 (define @t668 () (_ (_ (_ (_ (_ tptp.strong2129052853vative @t530) @t530) @t3) tptp.y) tptp.rel)) % 0.46/0.88 (define @t669 () (not @t668)) % 0.46/0.88 (define @t670 () (@var "Rel2" tptp.set_Pr1834926343_pi_pi)) % 0.46/0.88 (define @t671 () (@var "Perm2" tptp.list_P227219501e_name)) % 0.46/0.88 (define @t672 () (lambda (@list @t670) (forall (@list @t203 @t671) (=> (_ @t204 @t670) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.perm_n1415585007_pi_pi @t671) @t203)) @t670))))) % 0.46/0.88 (define @t673 () (@var "B5" tptp.name)) % 0.46/0.88 (define @t674 () (@var "A5" tptp.name)) % 0.46/0.88 (define @t675 () (lambda (@list @t674 @t673) (not (= @t674 @t673)))) % 0.46/0.88 (define @t676 () (@var "Q4" tptp.pi)) % 0.46/0.88 (define @t677 () (@var "P7" tptp.pi)) % 0.46/0.88 (define @t678 () (@var "Alpha3" tptp.late_freeRes)) % 0.46/0.88 (define @t679 () (_ tptp.late_FreeR @t678)) % 0.46/0.88 (define @t680 () (@var "P6" tptp.pi)) % 0.46/0.88 (define @t681 () (_ tptp.late_transitions @t680)) % 0.46/0.88 (define @t682 () (@list @t677)) % 0.46/0.88 (define @t683 () (@var "Q3" tptp.pi)) % 0.46/0.88 (define @t684 () (_ tptp.late_transitions @t683)) % 0.46/0.88 (define @t685 () (@var "X5" tptp.name)) % 0.46/0.88 (define @t686 () (@var "A5" tptp.late_subject)) % 0.46/0.88 (define @t687 () (_ (_ tptp.late_BoundR @t686) @t685)) % 0.46/0.88 (define @t688 () (lambda (@list @t680 @t670 @t683) (and (forall (@list @t686 @t685 @t676) (=> (and (_ @t684 (_ @t687 @t676)) (_ (_ tptp.fresh_name_pi @t685) @t680)) (exists @t682 (and (_ @t681 (_ @t687 @t677)) (_ (_ (_ (_ (_ tptp.strong2129052853vative @t677) @t676) @t686) @t685) @t670))))) (forall (@list @t678 @t676) (=> (_ @t684 (_ @t679 @t676)) (exists @t682 (and (_ @t681 (_ @t679 @t677)) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t677) @t676)) @t670)))))))) % 0.46/0.88 (define @t689 () (tptp.strong2129052853vative @t359 @t359 @t358 @t22 @t357)) % 0.46/0.88 (define @t690 () (tptp.ord_le630093991_pi_pi tptp.id_pi @t357)) % 0.46/0.88 (define @t691 () (not @t362)) % 0.46/0.88 (define @t692 () (or @t691 @t361)) % 0.46/0.88 (define @t693 () (tptp.ord_le630093991_pi_pi tptp.id_pi tptp.rel)) % 0.46/0.88 (define @t694 () (tptp.late_BoundOutputS tptp.aa)) % 0.46/0.88 (define @t695 () (tptp.produc1570949143e_name tptp.y tptp.x)) % 0.46/0.88 (define @t696 () (tptp.cons_P1213805021e_name @t695 tptp.nil_Pr743626285e_name)) % 0.46/0.88 (define @t697 () (tptp.perm_name_pi @t696 tptp.p2)) % 0.46/0.88 (define @t698 () (tptp.strong2129052853vative @t697 @t697 @t694 tptp.y tptp.rel)) % 0.46/0.88 (define @t699 () (not @t693)) % 0.46/0.88 (define @t700 () (or @t699 @t698)) % 0.46/0.88 (define @t701 () (not @t700)) % 0.46/0.88 (define @t702 () (@list true false)) % 0.46/0.88 (define @t703 () (forall @t363 (or (not @t690) @t689))) % 0.46/0.88 (assume @p1 @t2) % 0.46/0.88 (assume @p2 (not (= tptp.aa tptp.x))) % 0.46/0.88 (assume @p3 (= tptp.a @t3)) % 0.46/0.88 (assume @p4 (not (= tptp.y tptp.x))) % 0.46/0.88 (assume @p5 (_ tptp.eqvt_pi tptp.rel)) % 0.46/0.88 (assume @p6 (forall @t13 (= (_ @t11 @t12) @t4))) % 0.46/0.88 (assume @p7 (forall @t17 (= (_ @t15 @t16) @t14))) % 0.46/0.88 (assume @p8 (forall @t21 (= (_ @t19 @t20) @t18))) % 0.46/0.88 (assume @p9 (forall @t25 (= (_ @t23 @t24) @t22))) % 0.46/0.88 (assume @p10 (forall @t29 (= (_ @t27 @t28) @t26))) % 0.46/0.88 (assume @p11 (forall (@list @t6 @t4) (= (_ (_ tptp.perm_n1559866809ubject @t31) @t4) @t4))) % 0.46/0.88 (assume @p12 (forall (@list @t6 @t14) (= (_ (_ tptp.perm_n336613537reeRes @t31) @t14) @t14))) % 0.46/0.88 (assume @p13 (forall (@list @t6 @t18) (= (_ (_ tptp.perm_name_pi_Rep @t31) @t18) @t18))) % 0.46/0.88 (assume @p14 (forall (@list @t6 @t22) (= (_ (_ tptp.perm_name_name @t31) @t22) @t22))) % 0.46/0.88 (assume @p15 (forall (@list @t6 @t26) (= (_ (_ tptp.perm_name_pi @t31) @t26) @t26))) % 0.46/0.88 (assume @p16 (forall @t13 (= @t12 @t33))) % 0.46/0.88 (assume @p17 (forall @t17 (= @t16 @t34))) % 0.46/0.88 (assume @p18 (forall @t21 (= @t20 @t35))) % 0.46/0.88 (assume @p19 (forall @t25 (= @t24 @t36))) % 0.46/0.88 (assume @p20 (forall @t29 (= @t28 @t37))) % 0.46/0.88 (assume @p21 (forall @t38 (= (_ (_ tptp.perm_n1559866809ubject tptp.nil_Pr743626285e_name) @t4) @t4))) % 0.46/0.88 (assume @p22 (forall @t39 (= (_ (_ tptp.perm_n336613537reeRes tptp.nil_Pr743626285e_name) @t14) @t14))) % 0.46/0.88 (assume @p23 (forall (@list @t18) (= (_ @t40 @t18) @t18))) % 0.46/0.88 (assume @p24 (forall @t41 (= (_ (_ tptp.perm_name_name tptp.nil_Pr743626285e_name) @t22) @t22))) % 0.46/0.88 (assume @p25 (forall @t42 (= (_ (_ tptp.perm_name_pi tptp.nil_Pr743626285e_name) @t26) @t26))) % 0.46/0.88 (assume @p26 (forall @t13 (= (_ @t11 @t33) @t4))) % 0.46/0.88 (assume @p27 (forall @t17 (= (_ @t15 @t34) @t14))) % 0.46/0.88 (assume @p28 (forall @t21 (= (_ @t19 @t35) @t18))) % 0.46/0.88 (assume @p29 (forall @t25 (= (_ @t23 @t36) @t22))) % 0.46/0.88 (assume @p30 (forall @t29 (= (_ @t27 @t37) @t26))) % 0.46/0.88 (assume @p31 (forall @t47 (= (= @t46 (_ tptp.late_BoundOutputS @t43)) @t45))) % 0.46/0.88 (assume @p32 (forall (@list @t49 @t48) (= (= (_ tptp.late_BoundOutputS @t49) (_ tptp.late_BoundOutputS @t48)) @t50))) % 0.46/0.88 (assume @p33 (_ @t51 tptp.p2)) % 0.46/0.88 (assume @p34 (forall (@list @t55 @t53 @t54 @t52) (= (= @t56 (_ (_ tptp.cons_P1213805021e_name @t54) @t52)) (and (= @t55 @t54) (= @t53 @t52))))) % 0.46/0.88 (assume @p35 (forall (@list @t44 @t49 @t43 @t48) (= (= (_ (_ tptp.produc1570949143e_name @t44) @t49) (_ (_ tptp.produc1570949143e_name @t43) @t48)) (and @t45 @t50)))) % 0.46/0.88 (assume @p36 (forall (@list @t44 @t58 @t43 @t57) (= (= (_ (_ tptp.produc235456326_pi_pi @t44) @t58) (_ (_ tptp.produc235456326_pi_pi @t43) @t57)) (and @t45 (= @t58 @t57))))) % 0.46/0.88 (assume @p37 (forall (@list @t63 @t60 @t62 @t59) (= (= (_ (_ tptp.product_Pair_pi_pi @t63) @t60) (_ (_ tptp.product_Pair_pi_pi @t62) @t59)) (and @t64 @t61)))) % 0.46/0.88 (assume @p38 (forall @t70 (= @t69 (and @t68 @t66)))) % 0.46/0.88 (assume @p39 (forall @t75 (= @t74 (and @t68 @t73)))) % 0.46/0.88 (assume @p40 (forall @t85 (= @t84 (and @t81 @t78)))) % 0.46/0.88 (assume @p41 (forall (@list @t86) (= (_ (_ tptp.perm_n890803237al_Rep tptp.nil_Pr743626285e_name) @t86) @t86))) % 0.46/0.88 (assume @p42 (forall (@list @t87) (= (_ (_ tptp.perm_n697952036ct_Rep tptp.nil_Pr743626285e_name) @t87) @t87))) % 0.46/0.88 (assume @p43 (forall (@list @t88) (= (_ (_ tptp.perm_n1938283068es_Rep tptp.nil_Pr743626285e_name) @t88) @t88))) % 0.46/0.88 (assume @p44 (forall (@list @t89) (= (_ @t40 @t89) @t89))) % 0.46/0.88 (assume @p45 (forall @t94 (= (_ @t93 @t46) (_ tptp.late_BoundOutputS @t92)))) % 0.46/0.88 (assume @p46 (forall (@list @t6 @t18 @t5) (=> @t96 (=> (_ (_ tptp.fresh_name_pi_Rep @t5) @t18) (= @t20 @t18))))) % 0.46/0.88 (assume @p47 (forall (@list @t6 @t4 @t5) (=> @t98 (=> (_ (_ tptp.fresh_717452603ubject @t5) @t4) (= @t12 @t4))))) % 0.46/0.88 (assume @p48 (forall (@list @t6 @t14 @t5) (=> @t100 (=> (_ (_ tptp.fresh_1641682979reeRes @t5) @t14) (= @t16 @t14))))) % 0.46/0.88 (assume @p49 (forall (@list @t6 @t101 @t5) (=> @t104 (=> (_ (_ tptp.fresh_1376661020_pi_pi @t5) @t101) (= @t102 @t101))))) % 0.46/0.88 (assume @p50 (forall (@list @t6 @t22 @t5) (=> @t106 (=> (_ (_ tptp.fresh_name_name @t5) @t22) (= @t24 @t22))))) % 0.46/0.88 (assume @p51 (forall (@list @t6 @t26 @t5) (=> @t108 (=> (_ (_ tptp.fresh_name_pi @t5) @t26) (= @t28 @t26))))) % 0.46/0.88 (assume @p52 (_ (_ tptp.fresh_717452603ubject tptp.y) tptp.a)) % 0.46/0.88 (assume @p53 (forall (@list @t90 @t111 @t109) (= (_ @t113 (_ (_ tptp.ord_le630093991_pi_pi @t111) @t109)) (_ (_ tptp.ord_le630093991_pi_pi @t112) (_ @t110 @t109))))) % 0.46/0.88 (assume @p54 (forall (@list @t6 @t90 @t18) (=> @t116 (=> @t96 (_ @t95 @t115))))) % 0.46/0.88 (assume @p55 (forall (@list @t6 @t90 @t4) (=> @t116 (=> @t98 (_ @t97 @t117))))) % 0.46/0.88 (assume @p56 (forall (@list @t6 @t90 @t14) (=> @t116 (=> @t100 (_ @t99 @t119))))) % 0.46/0.88 (assume @p57 (forall (@list @t6 @t90 @t101) (=> @t116 (=> @t104 (_ @t103 @t120))))) % 0.46/0.88 (assume @p58 (forall (@list @t6 @t90 @t22) (=> @t116 (=> @t106 (_ @t105 @t121))))) % 0.46/0.88 (assume @p59 (forall (@list @t6 @t90 @t26) (=> @t116 (=> @t108 (_ @t107 @t123))))) % 0.46/0.88 (assume @p60 (forall @t38 (not (forall @t125 (not (_ (_ tptp.fresh_717452603ubject @t124) @t4)))))) % 0.46/0.88 (assume @p61 (forall @t39 (not (forall @t125 (not (_ (_ tptp.fresh_1641682979reeRes @t124) @t14)))))) % 0.46/0.88 (assume @p62 (forall (@list @t101) (not (forall @t125 (not (_ (_ tptp.fresh_1376661020_pi_pi @t124) @t101)))))) % 0.46/0.88 (assume @p63 (forall @t41 (not (forall @t125 (not (_ (_ tptp.fresh_name_name @t124) @t22)))))) % 0.46/0.88 (assume @p64 (forall @t42 (not (forall @t125 (not (_ (_ tptp.fresh_name_pi @t124) @t26)))))) % 0.46/0.88 (assume @p65 (forall @t128 (= (_ @t113 @t96) @t127))) % 0.46/0.88 (assume @p66 (forall @t130 (= (_ @t113 @t98) @t129))) % 0.46/0.88 (assume @p67 (forall @t132 (= (_ @t113 @t100) @t131))) % 0.46/0.88 (assume @p68 (forall @t134 (= (_ @t113 @t104) @t133))) % 0.46/0.88 (assume @p69 (forall @t136 (= (_ @t113 @t106) @t135))) % 0.46/0.88 (assume @p70 (forall @t138 (= (_ @t113 @t108) @t137))) % 0.46/0.88 (assume @p71 (forall @t128 (= @t127 @t96))) % 0.46/0.88 (assume @p72 (forall @t130 (= @t129 @t98))) % 0.46/0.88 (assume @p73 (forall @t132 (= @t131 @t100))) % 0.46/0.88 (assume @p74 (forall @t134 (= @t133 @t104))) % 0.46/0.88 (assume @p75 (forall @t136 (= @t135 @t106))) % 0.46/0.88 (assume @p76 (forall @t138 (= @t137 @t108))) % 0.46/0.88 (assume @p77 (forall @t154 (=> @t153 (=> (forall @t151 (not (= @t148 (_ @t147 @t150)))) (not (forall @t149 (not (= @t148 (_ @t147 @t145))))))))) % 0.46/0.88 (assume @p78 (forall @t154 (=> @t153 (not (forall @t157 (not (= @t148 (_ @t147 @t156)))))))) % 0.46/0.88 (assume @p79 (forall @t165 (=> @t164 (=> (forall @t163 (not (= @t161 (_ (_ tptp.produc208131031e_name @t139) tptp.nil_Pr743626285e_name)))) (not (forall @t162 (not (= @t161 (_ @t160 @t158))))))))) % 0.46/0.88 (assume @p80 (forall @t165 (=> @t164 (not (forall @t166 (not (= @t161 (_ @t160 @t155)))))))) % 0.46/0.88 (assume @p81 (forall @t167 (= (_ @t23 @t6) @t5))) % 0.46/0.88 (assume @p82 (forall @t167 (= (_ @t23 @t5) @t6))) % 0.46/0.88 (assume @p83 (forall (@list @t6 @t168 @t5) (=> (not (= @t6 @t168)) (=> (not (= @t5 @t168)) (= (_ @t23 @t168) @t168))))) % 0.46/0.88 (assume @p84 (forall (@list @t168 @t6 @t18 @t5) (=> @t170 (=> @t96 (=> (_ @t169 @t18) (_ @t169 @t20)))))) % 0.46/0.88 (assume @p85 (forall (@list @t168 @t6 @t4 @t5) (=> @t170 (=> @t98 (=> (_ @t171 @t4) (_ @t171 @t12)))))) % 0.46/0.88 (assume @p86 (forall (@list @t168 @t6 @t14 @t5) (=> @t170 (=> @t100 (=> (_ @t172 @t14) (_ @t172 @t16)))))) % 0.46/0.88 (assume @p87 (forall (@list @t168 @t6 @t101 @t5) (=> @t170 (=> @t104 (=> (_ @t173 @t101) (_ @t173 @t102)))))) % 0.46/0.88 (assume @p88 (forall (@list @t168 @t6 @t22 @t5) (=> @t170 (=> @t106 (=> (_ @t174 @t22) (_ @t174 @t24)))))) % 0.46/0.88 (assume @p89 (forall (@list @t168 @t6 @t26 @t5) (=> @t170 (=> @t108 (=> (_ @t175 @t26) (_ @t175 @t28)))))) % 0.46/0.88 (assume @p90 (forall (@list @t177 @t176) (=> @t182 (_ @t177 @t176)))) % 0.46/0.88 (assume @p91 (forall (@list @t184 @t183) (=> @t189 (_ @t184 @t183)))) % 0.46/0.88 (assume @p92 (forall (@list @t191 @t190) (=> @t196 (_ @t191 @t190)))) % 0.46/0.88 (assume @p93 (forall (@list @t197) (not (forall @t181 (not (= @t197 @t180)))))) % 0.46/0.88 (assume @p94 (forall @t199 (not (forall @t188 (not (= @t198 @t187)))))) % 0.46/0.88 (assume @p95 (forall (@list @t200) (not (forall @t195 (not (= @t200 @t194)))))) % 0.46/0.88 (assume @p96 (forall (@list @t201 @t191) (= (_ (_ tptp.member558706512_pi_pi @t201) (_ tptp.collec1051790738_pi_pi @t191)) (_ @t191 @t201)))) % 0.46/0.88 (assume @p97 (forall (@list @t202) (= (_ tptp.collec1051790738_pi_pi (lambda (@list @t203) (_ @t204 @t202))) @t202))) % 0.46/0.88 (assume @p98 (forall (@list @t184 @t101) (=> (forall @t207 (_ @t184 @t206)) (_ @t184 @t101)))) % 0.46/0.88 (assume @p99 (forall @t199 (not (forall @t207 (not (= @t198 @t206)))))) % 0.46/0.88 (assume @p100 (forall @t70 (=> @t69 (not (=> @t68 (not @t66)))))) % 0.46/0.88 (assume @p101 (forall @t75 (=> @t74 (not (=> @t68 (not @t73)))))) % 0.46/0.88 (assume @p102 (forall @t85 (=> @t84 (not (=> @t81 (not @t78)))))) % 0.46/0.88 (assume @p103 (forall (@list @t177 @t208) (=> @t182 (_ @t177 @t208)))) % 0.46/0.88 (assume @p104 (forall (@list @t184 @t209) (=> @t189 (_ @t184 @t209)))) % 0.46/0.88 (assume @p105 (forall (@list @t191 @t210) (=> @t196 (_ @t191 @t210)))) % 0.46/0.88 (assume @p106 (forall @t216 (exists @t215 (= @t208 @t214)))) % 0.46/0.88 (assume @p107 (forall (@list @t209) (exists @t219 (= @t209 @t218)))) % 0.46/0.88 (assume @p108 (forall @t225 (exists @t224 (= @t210 @t223)))) % 0.46/0.88 (assume @p109 (forall (@list @t227 @t226) (not (= (_ (_ tptp.cons_P1213805021e_name @t227) @t226) @t226)))) % 0.46/0.88 (assume @p110 (forall (@list @t228 @t231 @t4) (= (_ @t229 @t234) (_ (_ tptp.perm_n1559866809ubject @t232) @t230)))) % 0.46/0.88 (assume @p111 (forall (@list @t228 @t231 @t14) (= (_ @t235 @t238) (_ (_ tptp.perm_n336613537reeRes @t232) @t236)))) % 0.46/0.88 (assume @p112 (forall (@list @t228 @t231 @t18) (= (_ @t239 @t242) (_ (_ tptp.perm_name_pi_Rep @t232) @t240)))) % 0.46/0.88 (assume @p113 (forall (@list @t228 @t231 @t22) (= (_ @t243 @t246) (_ (_ tptp.perm_name_name @t232) @t244)))) % 0.46/0.88 (assume @p114 (forall (@list @t228 @t231 @t26) (= (_ @t247 @t250) (_ (_ tptp.perm_name_pi @t232) @t248)))) % 0.46/0.88 (assume @p115 (forall (@list @t231 @t228 @t4) (= (_ @t233 @t230) (_ (_ tptp.perm_n1559866809ubject @t251) @t234)))) % 0.46/0.88 (assume @p116 (forall (@list @t231 @t228 @t14) (= (_ @t237 @t236) (_ (_ tptp.perm_n336613537reeRes @t251) @t238)))) % 0.46/0.88 (assume @p117 (forall (@list @t231 @t228 @t18) (= (_ @t241 @t240) (_ (_ tptp.perm_name_pi_Rep @t251) @t242)))) % 0.46/0.88 (assume @p118 (forall (@list @t231 @t228 @t22) (= (_ @t245 @t244) (_ (_ tptp.perm_name_name @t251) @t246)))) % 0.46/0.88 (assume @p119 (forall (@list @t231 @t228 @t26) (= (_ @t249 @t248) (_ (_ tptp.perm_name_pi @t251) @t250)))) % 0.46/0.88 (assume @p120 (forall @t256 (= @t255 @t253))) % 0.46/0.88 (assume @p121 (forall @t261 (= @t260 @t258))) % 0.46/0.88 (assume @p122 (forall @t266 (= @t265 @t263))) % 0.46/0.88 (assume @p123 (forall @t271 (= @t270 @t268))) % 0.46/0.88 (assume @p124 (forall @t276 (= @t275 @t273))) % 0.46/0.88 (assume @p125 (forall (@list @t90 @t277 @t4) (= (_ @t93 (_ @t277 @t4)) (_ (_ (_ tptp.perm_n1447856217ubject @t90) @t277) @t117)))) % 0.46/0.88 (assume @p126 (forall (@list @t90 @t278 @t14) (= (_ @t93 (_ @t278 @t14)) (_ (_ (_ tptp.perm_n303101761ubject @t90) @t278) @t119)))) % 0.46/0.88 (assume @p127 (forall (@list @t90 @t279 @t18) (= (_ @t93 (_ @t279 @t18)) (_ (_ (_ tptp.perm_n698371375ubject @t90) @t279) @t115)))) % 0.46/0.88 (assume @p128 (forall (@list @t90 @t280 @t22) (= (_ @t93 (_ @t280 @t22)) (_ (_ (_ tptp.perm_n1387060402ubject @t90) @t280) @t121)))) % 0.46/0.88 (assume @p129 (forall (@list @t90 @t281 @t26) (= (_ @t93 (_ @t281 @t26)) (_ (_ (_ tptp.perm_n190055296ubject @t90) @t281) @t123)))) % 0.46/0.88 (assume @p130 (forall (@list @t90 @t282 @t4) (= (_ @t118 (_ @t282 @t4)) (_ (_ (_ tptp.perm_n443561793reeRes @t90) @t282) @t117)))) % 0.46/0.88 (assume @p131 (forall (@list @t90 @t283 @t14) (= (_ @t118 (_ @t283 @t14)) (_ (_ (_ tptp.perm_n1446290985reeRes @t90) @t283) @t119)))) % 0.46/0.88 (assume @p132 (forall (@list @t90 @t284 @t18) (= (_ @t118 (_ @t284 @t18)) (_ (_ (_ tptp.perm_n1841560599reeRes @t90) @t284) @t115)))) % 0.46/0.88 (assume @p133 (forall (@list @t90 @t285 @t22) (= (_ @t118 (_ @t285 @t22)) (_ (_ (_ tptp.perm_n382765978reeRes @t90) @t285) @t121)))) % 0.46/0.88 (assume @p134 (forall (@list @t90 @t286 @t26) (= (_ @t118 (_ @t286 @t26)) (_ (_ (_ tptp.perm_n1333244520reeRes @t90) @t286) @t123)))) % 0.46/0.88 (assume @p135 (forall (@list @t90 @t287 @t111) (= (_ @t113 (_ (_ tptp.member558706512_pi_pi @t287) @t111)) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.perm_n1415585007_pi_pi @t90) @t287)) @t112)))) % 0.46/0.88 (assume @p136 (forall (@list @t90 @t4 @t288) (= (_ @t113 (_ (_ tptp.member_Late_subject @t4) @t288)) (_ (_ tptp.member_Late_subject @t117) (_ (_ tptp.perm_n412725103ubject @t90) @t288))))) % 0.46/0.88 (assume @p137 (forall (@list @t90 @t14 @t289) (= (_ @t113 (_ (_ tptp.member_Late_freeRes @t14) @t289)) (_ (_ tptp.member_Late_freeRes @t119) (_ (_ tptp.perm_n1555914327reeRes @t90) @t289))))) % 0.46/0.88 (assume @p138 (forall (@list @t90 @t18 @t290) (= (_ @t113 (_ (_ tptp.member_pi_Rep @t18) @t290)) (_ (_ tptp.member_pi_Rep @t115) (_ (_ tptp.perm_name_set_pi_Rep @t90) @t290))))) % 0.46/0.88 (assume @p139 (forall (@list @t90 @t22 @t291) (= (_ @t113 (_ (_ tptp.member_name @t22) @t291)) (_ (_ tptp.member_name @t121) (_ (_ tptp.perm_name_set_name @t90) @t291))))) % 0.46/0.88 (assume @p140 (forall (@list @t90 @t26 @t292) (= (_ @t113 (_ (_ tptp.member_pi @t26) @t292)) (_ (_ tptp.member_pi @t123) (_ (_ tptp.perm_name_set_pi @t90) @t292))))) % 0.46/0.88 (assume @p141 (forall @t256 (= (_ @t113 @t253) @t255))) % 0.46/0.88 (assume @p142 (forall @t261 (= (_ @t113 @t258) @t260))) % 0.46/0.88 (assume @p143 (forall @t266 (= (_ @t113 @t263) @t265))) % 0.46/0.88 (assume @p144 (forall @t271 (= (_ @t113 @t268) @t270))) % 0.46/0.88 (assume @p145 (forall @t276 (= (_ @t113 @t273) @t275))) % 0.46/0.88 (assume @p146 (forall (@list @t296 @t295 @t294 @t293) (=> (forall (@list @t300 @t302) (_ (_ @t301 tptp.nil_Pr743626285e_name) @t302)) (=> (forall (@list @t300 @t299 @t298 @t297) (=> (_ (_ @t301 @t298) (_ (_ tptp.cons_P1213805021e_name (_ @t300 @t299)) @t297)) (_ (_ @t301 (_ (_ tptp.cons_P1213805021e_name @t299) @t298)) @t297))) (_ (_ (_ @t296 @t295) @t294) @t293))))) % 0.46/0.88 (assume @p147 (forall (@list @t226 @t303) (=> @t309 (=> @t308 (=> (forall @t306 (=> (not (= @t139 tptp.nil_Pr743626285e_name)) (=> (_ @t303 @t139) @t305))) @t304))))) % 0.46/0.88 (assume @p148 (forall @t315 (=> @t314 (=> (forall @t151 (_ @t313 @t150)) (=> (forall @t149 (=> (_ @t313 @t142) (_ @t313 @t145))) @t312))))) % 0.46/0.88 (assume @p149 (forall (@list @t303 @t316) (=> @t319 (=> @t308 (=> (forall @t318 (=> (=> @t317 @t305) (=> (=> (not @t317) (_ @t303 @t142)) (_ @t303 @t145)))) (_ @t303 @t316)))))) % 0.46/0.88 (assume @p150 (forall @t315 (=> @t314 (=> (forall @t157 (=> (_ @t313 @t155) (_ @t313 @t156))) @t312)))) % 0.46/0.88 (assume @p151 (forall (@list @t320) (=> (not (= @t320 tptp.nil_Pr743626285e_name)) (=> (forall @t307 (not (= @t320 @t150))) (not (forall @t318 (not (= @t320 @t145)))))))) % 0.46/0.88 (assume @p152 (forall (@list @t322) (=> (not (= @t322 tptp.nil_li29751603e_name)) (=> (forall (@list @t321) (not (= @t322 (_ (_ tptp.cons_l798145763e_name tptp.nil_Pr743626285e_name) @t321)))) (not (forall (@list @t143 @t139 @t321) (not (= @t322 (_ (_ tptp.cons_l798145763e_name @t159) @t321))))))))) % 0.46/0.88 (assume @p153 (forall @t332 (=> @t331 (=> (forall @t163 (_ @t328 tptp.nil_Pr743626285e_name)) (=> (forall @t162 (=> (_ @t328 @t158) (=> @t327 @t326))) @t324))))) % 0.46/0.88 (assume @p154 (forall (@list @t303 @t226) (=> @t319 (=> @t308 (=> (forall (@list @t143 @t140 @t333) (=> (_ @t303 @t333) (=> (_ @t303 @t334) (_ @t303 (_ @t144 @t334))))) @t304))))) % 0.46/0.88 (assume @p155 (forall @t332 (=> @t331 (=> (forall @t166 (=> (_ (_ @t323 @t155) @t139) @t327)) @t324)))) % 0.46/0.88 (assume @p156 (forall (@list @t323 @t226 @t335) (=> (_ @t329 tptp.nil_Pr743626285e_name) (=> (forall @t306 (_ @t325 tptp.nil_Pr743626285e_name)) (=> (forall (@list @t140 @t155) (_ @t329 @t158)) (=> (forall @t162 (=> (_ @t328 @t155) @t326)) (_ (_ @t323 @t226) @t335))))))) % 0.46/0.88 (assume @p157 (forall (@list @t226) (= @t309 (exists (@list @t337 @t336) (= @t226 (_ (_ tptp.cons_P1213805021e_name @t337) @t336)))))) % 0.46/0.88 (assume @p158 (forall (@list @t303 @t338) (=> @t319 (=> (forall (@list @t340 @t339) (=> (_ @t303 @t339) (_ @t303 (_ (_ tptp.cons_P1213805021e_name @t340) @t339)))) (_ @t303 @t338))))) % 0.46/0.88 (assume @p159 (forall (@list @t343) (=> (not (= @t343 tptp.nil_Pr743626285e_name)) (not (forall (@list @t342 @t341) (not (= @t343 (_ (_ tptp.cons_P1213805021e_name @t342) @t341)))))))) % 0.46/0.88 (assume @p160 (forall (@list @t338 @t55 @t53) (=> (= @t338 @t56) (not (= @t338 tptp.nil_Pr743626285e_name))))) % 0.46/0.88 (assume @p161 (forall (@list @t55 @t53) (not (= tptp.nil_Pr743626285e_name @t56)))) % 0.46/0.88 (assume @p162 (_ @t51 tptp.q)) % 0.46/0.88 (assume @p163 (forall @t167 (= (_ (_ tptp.member695284560e_name @t8) tptp.id_name) @t344))) % 0.46/0.88 (assume @p164 (forall (@list @t80 @t77) (= (_ (_ tptp.member558706512_pi_pi @t83) tptp.id_pi) (= @t80 @t77)))) % 0.46/0.88 (assume @p165 (forall (@list @t6) (_ (_ tptp.member695284560e_name @t30) tptp.id_name))) % 0.46/0.88 (assume @p166 (forall (@list @t80) (_ (_ tptp.member558706512_pi_pi (_ @t82 @t80)) tptp.id_pi))) % 0.46/0.88 (assume @p167 (forall (@list @t6 @t4 @t252) (= (_ (_ tptp.fresh_495373993ubject @t6) @t346) (and @t98 @t345)))) % 0.46/0.88 (assume @p168 (forall (@list @t6 @t4 @t257) (= (_ (_ tptp.fresh_1638563217reeRes @t6) @t348) (and @t98 @t347)))) % 0.46/0.88 (assume @p169 (forall (@list @t6 @t4 @t267) (= (_ (_ tptp.fresh_1953561446t_name @t6) @t350) (and @t98 @t349)))) % 0.46/0.88 (assume @p170 (forall (@list @t6 @t4 @t272) (= (_ (_ tptp.fresh_994896692ect_pi @t6) @t352) (and @t98 @t351)))) % 0.46/0.88 (assume @p171 (forall (@list @t6 @t14 @t252) (= (_ (_ tptp.fresh_1498103185ubject @t6) @t353) (and @t100 @t345)))) % 0.46/0.88 (assume @p172 (forall (@list @t6 @t14 @t257) (= (_ (_ tptp.fresh_493808761reeRes @t6) @t354) (and @t100 @t347)))) % 0.46/0.88 (assume @p173 (forall (@list @t6 @t14 @t267) (= (_ (_ tptp.fresh_2007541374s_name @t6) @t355) (and @t100 @t349)))) % 0.46/0.88 (assume @p174 (forall (@list @t6 @t14 @t272) (= (_ (_ tptp.fresh_1847501388Res_pi @t6) @t356) (and @t100 @t351)))) % 0.46/0.88 (assume @p175 (forall (@list @t6 @t22 @t252) (= (_ (_ tptp.fresh_820177506ubject @t6) (_ (_ tptp.produc607574050ubject @t22) @t252)) (and @t106 @t345)))) % 0.46/0.88 (assume @p176 (forall (@list @t6 @t22 @t257) (= (_ (_ tptp.fresh_1963366730reeRes @t6) (_ (_ tptp.produc1531804426reeRes @t22) @t257)) (and @t106 @t347)))) % 0.46/0.88 (assume @p177 (_ @t51 tptp.p)) % 0.46/0.88 (assume @p178 @t364) % 0.46/0.88 (assume @p179 (forall @t377 (=> @t376 (=> @t374 (_ (_ (_ @t373 (_ @t368 @t358)) @t367) @t357))))) % 0.46/0.88 (assume @p180 (forall @t377 (=> @t376 (=> @t374 (_ (_ (_ @t373 @t358) @t367) @t357))))) % 0.46/0.88 (assume @p181 (forall (@list @t378 @t380 @t379 @t365) (=> @t383 (=> @t382 @t381)))) % 0.46/0.88 (assume @p182 (forall (@list @t384 @t387 @t385 @t365) (=> @t390 (=> @t389 @t388)))) % 0.46/0.88 (assume @p183 (forall (@list @t391 @t394 @t392 @t365) (=> @t397 (=> @t396 @t395)))) % 0.46/0.88 (assume @p184 (forall (@list @t398 @t400 @t399 @t365) (=> @t403 (=> @t402 @t401)))) % 0.46/0.88 (assume @p185 (forall (@list @t357 @t359 @t369 @t365) (=> @t374 (=> @t405 @t404)))) % 0.46/0.88 (assume @p186 (_ (_ tptp.fresh_1376661020_pi_pi tptp.y) (_ (_ tptp.produc235456326_pi_pi tptp.x) (_ (_ tptp.product_Pair_pi_pi tptp.p) tptp.q)))) % 0.46/0.88 (assume @p187 (forall @t407 (= (_ @t97 @t46) @t406))) % 0.46/0.88 (assume @p188 (forall (@list @t303) (=> (forall @t330 (_ @t303 @t302)) @t319))) % 0.46/0.88 (assume @p189 (forall (@list @t90 @t410 @t409 @t408) (and (=> @t412 (= @t411 (_ @t93 @t409))) (=> @t413 (= @t411 (_ @t93 @t408)))))) % 0.46/0.88 (assume @p190 (forall (@list @t90 @t410 @t415 @t414) (and (=> @t412 (= @t416 (_ @t118 @t415))) (=> @t413 (= @t416 (_ @t118 @t414)))))) % 0.46/0.88 (assume @p191 (forall (@list @t90 @t410 @t418 @t417) (and (=> @t412 (= @t419 (_ @t114 @t418))) (=> @t413 (= @t419 (_ @t114 @t417)))))) % 0.46/0.88 (assume @p192 (forall (@list @t90 @t410 @t421 @t420) (and (=> @t412 (= @t422 (_ @t91 @t421))) (=> @t413 (= @t422 (_ @t91 @t420)))))) % 0.46/0.88 (assume @p193 (forall (@list @t90 @t410 @t424 @t423) (and (=> @t412 (= @t425 (_ @t122 @t424))) (=> @t413 (= @t425 (_ @t122 @t423)))))) % 0.46/0.88 (assume @p194 (forall (@list @t4 @t252 @t90) (=> @t253 @t255))) % 0.46/0.88 (assume @p195 (forall (@list @t14 @t257 @t90) (=> @t258 @t260))) % 0.46/0.88 (assume @p196 (forall (@list @t18 @t262 @t90) (=> @t263 @t265))) % 0.46/0.88 (assume @p197 (forall (@list @t22 @t267 @t90) (=> @t268 @t270))) % 0.46/0.88 (assume @p198 (forall (@list @t26 @t272 @t90) (=> @t273 @t275))) % 0.46/0.88 (assume @p199 (forall (@list @t426 @t90 @t4 @t252) (and (=> @t426 (= @t427 @t117)) (=> @t428 (= @t427 @t254))))) % 0.46/0.88 (assume @p200 (forall (@list @t426 @t90 @t14 @t257) (and (=> @t426 (= @t429 @t119)) (=> @t428 (= @t429 @t259))))) % 0.46/0.88 (assume @p201 (forall (@list @t426 @t90 @t18 @t262) (and (=> @t426 (= @t430 @t115)) (=> @t428 (= @t430 @t264))))) % 0.46/0.88 (assume @p202 (forall (@list @t426 @t90 @t22 @t267) (and (=> @t426 (= @t431 @t121)) (=> @t428 (= @t431 @t269))))) % 0.46/0.88 (assume @p203 (forall (@list @t426 @t90 @t26 @t272) (and (=> @t426 (= @t432 @t123)) (=> @t428 (= @t432 @t274))))) % 0.46/0.88 (assume @p204 (forall @t256 (= (_ (_ tptp.perm_n171497387ubject @t90) @t346) (_ (_ tptp.produc1465345179ubject @t117) @t254)))) % 0.46/0.88 (assume @p205 (forall (@list @t90 @t4 @t257) (= (_ (_ tptp.perm_n1314686611reeRes @t90) @t348) (_ (_ tptp.produc242091907reeRes @t117) @t259)))) % 0.46/0.88 (assume @p206 (forall (@list @t90 @t4 @t262) (= (_ (_ tptp.perm_n1467004033pi_Rep @t90) (_ (_ tptp.produc843063281pi_Rep @t4) @t262)) (_ (_ tptp.produc843063281pi_Rep @t117) @t264)))) % 0.46/0.88 (assume @p207 (forall (@list @t90 @t4 @t267) (= (_ (_ tptp.perm_n204483300t_name @t90) @t350) (_ (_ tptp.produc1647375838t_name @t117) @t269)))) % 0.46/0.88 (assume @p208 (forall (@list @t90 @t4 @t272) (= (_ (_ tptp.perm_n359102898ect_pi @t90) @t352) (_ (_ tptp.produc324947500ect_pi @t117) @t274)))) % 0.46/0.88 (assume @p209 (forall (@list @t90 @t14 @t252) (= (_ (_ tptp.perm_n1174226579ubject @t90) @t353) (_ (_ tptp.produc320590723ubject @t119) @t254)))) % 0.46/0.88 (assume @p210 (forall @t261 (= (_ (_ tptp.perm_n169932155reeRes @t90) @t354) (_ (_ tptp.produc1244821099reeRes @t119) @t259)))) % 0.46/0.88 (assume @p211 (forall (@list @t90 @t14 @t262) (= (_ (_ tptp.perm_n840427369pi_Rep @t90) (_ (_ tptp.produc216486617pi_Rep @t14) @t262)) (_ (_ tptp.produc216486617pi_Rep @t119) @t264)))) % 0.46/0.88 (assume @p212 (forall (@list @t90 @t14 @t267) (= (_ (_ tptp.perm_n258463228s_name @t90) @t355) (_ (_ tptp.produc1701355766s_name @t119) @t269)))) % 0.46/0.88 (assume @p213 (forall (@list @t90 @t14 @t272) (= (_ (_ tptp.perm_n1211707594Res_pi @t90) @t356) (_ (_ tptp.produc1177552196Res_pi @t119) @t274)))) % 0.46/0.88 (assume @p214 (forall (@list @t90 @t4 @t433) (= (_ @t434 @t435) (_ (_ tptp.cons_Late_subject @t117) (_ @t434 @t433))))) % 0.46/0.88 (assume @p215 (forall (@list @t90 @t14 @t436) (= (_ @t437 @t438) (_ (_ tptp.cons_Late_freeRes @t119) (_ @t437 @t436))))) % 0.46/0.88 (assume @p216 (forall (@list @t90 @t18 @t439) (= (_ @t440 (_ (_ tptp.cons_pi_Rep @t18) @t439)) (_ (_ tptp.cons_pi_Rep @t115) (_ @t440 @t439))))) % 0.46/0.88 (assume @p217 (forall (@list @t90 @t22 @t441) (= (_ @t442 @t443) (_ (_ tptp.cons_name @t121) (_ @t442 @t441))))) % 0.46/0.88 (assume @p218 (forall (@list @t90 @t26 @t444) (= (_ @t445 @t446) (_ (_ tptp.cons_pi @t123) (_ @t445 @t444))))) % 0.46/0.88 (assume @p219 (forall @t450 (=> @t449 @t106))) % 0.46/0.88 (assume @p220 (forall @t452 (=> @t451 @t106))) % 0.46/0.88 (assume @p221 (forall @t455 (=> @t454 @t108))) % 0.46/0.88 (assume @p222 (forall @t450 (=> @t449 @t349))) % 0.46/0.88 (assume @p223 (forall @t452 (=> @t451 (_ @t453 @t200)))) % 0.46/0.88 (assume @p224 (forall @t455 (=> @t454 @t351))) % 0.46/0.88 (assume @p225 (forall (@list @t6 @t4 @t433) (= (_ @t456 @t435) (and @t98 (_ @t456 @t433))))) % 0.46/0.88 (assume @p226 (forall (@list @t6 @t14 @t436) (= (_ @t457 @t438) (and @t100 (_ @t457 @t436))))) % 0.46/0.88 (assume @p227 (forall (@list @t6 @t101 @t458) (= (_ @t459 (_ (_ tptp.cons_P749510156_pi_pi @t101) @t458)) (and @t104 (_ @t459 @t458))))) % 0.46/0.88 (assume @p228 (forall (@list @t6 @t22 @t441) (= (_ @t460 @t443) (and @t106 (_ @t460 @t441))))) % 0.46/0.88 (assume @p229 (forall (@list @t6 @t26 @t444) (= (_ @t461 @t446) (and @t108 (_ @t461 @t444))))) % 0.46/0.88 (assume @p230 (forall (@list @t463 @t462) (=> (forall @t215 (=> (_ @t464 @t463) (_ @t464 @t462))) (_ (_ tptp.ord_le793202855e_name @t463) @t462)))) % 0.46/0.88 (assume @p231 (forall (@list @t466 @t465) (=> (forall @t219 (=> (_ @t467 @t466) (_ @t467 @t465))) (_ (_ tptp.ord_le797229014_pi_pi @t466) @t465)))) % 0.46/0.88 (assume @p232 (forall (@list @t469 @t468) (=> (forall @t224 (=> (_ @t470 @t469) (_ @t470 @t468))) (_ (_ tptp.ord_le630093991_pi_pi @t469) @t468)))) % 0.46/0.88 (assume @p233 (forall @t216 (=> (_ (_ tptp.member695284560e_name @t208) tptp.id_name) (not (forall (@list @t212) (not (= @t208 (_ @t213 @t212)))))))) % 0.46/0.88 (assume @p234 (forall @t225 (=> (_ (_ tptp.member558706512_pi_pi @t210) tptp.id_pi) (not (forall (@list @t221) (not (= @t210 (_ @t222 @t221)))))))) % 0.46/0.88 (assume @p235 (forall (@list @t359 @t369 @t358 @t22 @t202 @t471) (=> (_ @t375 @t202) (=> @t472 (_ @t375 @t471))))) % 0.46/0.88 (assume @p236 (forall (@list @t378 @t365 @t380 @t379) (=> @t383 (=> @t381 @t382)))) % 0.46/0.88 (assume @p237 (forall (@list @t384 @t365 @t387 @t385) (=> @t390 (=> @t388 @t389)))) % 0.46/0.88 (assume @p238 (forall (@list @t391 @t365 @t394 @t392) (=> @t397 (=> @t395 @t396)))) % 0.46/0.88 (assume @p239 (forall (@list @t398 @t365 @t400 @t399) (=> @t403 (=> @t401 @t402)))) % 0.46/0.88 (assume @p240 (forall (@list @t357 @t365 @t359 @t369) (=> @t374 (=> @t404 @t405)))) % 0.46/0.88 (assume @p241 (_ @t51 @t475)) % 0.46/0.88 (assume @p242 (_ @t51 @t477)) % 0.46/0.88 (assume @p243 (forall @t478 (=> @t472 (=> (_ (_ tptp.ord_le630093991_pi_pi @t471) @t202) (= @t202 @t471))))) % 0.46/0.88 (assume @p244 (forall @t478 (=> (forall (@list @t479) (=> (_ @t480 @t202) (_ @t480 @t471))) @t472))) % 0.46/0.88 (assume @p245 (forall (@list @t481) (_ @t482 @t481))) % 0.46/0.88 (assume @p246 (forall (@list @t6 @t60 @t63) (= (_ @t107 @t484) (and (_ @t107 @t60) @t483)))) % 0.46/0.88 (assume @p247 (forall (@list @t90 @t60 @t63) (= (_ @t122 @t484) (_ (_ tptp.sum @t486) @t485)))) % 0.46/0.88 (assume @p248 (forall (@list @t90 @t44 @t60) (= (_ @t122 (_ (_ tptp.res @t44) @t60)) (_ (_ tptp.res @t92) @t486)))) % 0.46/0.88 (assume @p249 (forall (@list @t491 @t490 @t488 @t487) (not (= (_ (_ tptp.sum @t491) @t490) @t489)))) % 0.46/0.88 (assume @p250 (forall (@list @t60 @t63 @t59 @t62) (= (= @t484 (_ (_ tptp.sum @t59) @t62)) (and @t61 @t64)))) % 0.46/0.88 (assume @p251 (forall (@list @t6 @t359) (_ @t107 @t492))) % 0.46/0.88 (assume @p252 (forall @t505 (=> (_ @t496 @t504) @t503))) % 0.46/0.88 (assume @p253 (forall @t508 (=> @t507 (=> (_ (_ tptp.ord_le630093991_pi_pi @t504) @t493) @t506)))) % 0.46/0.88 (assume @p254 (forall @t505 (=> (= @t495 @t504) @t503))) % 0.46/0.88 (assume @p255 (forall @t508 (=> @t507 (=> (= @t504 @t493) @t506)))) % 0.46/0.88 (assume @p256 (= @t513 (lambda (@list @t509 @t510) (and (_ (_ tptp.ord_le630093991_pi_pi @t509) @t510) (_ (_ tptp.ord_le630093991_pi_pi @t510) @t509))))) % 0.46/0.88 (assume @p257 (forall @t519 (=> @t518 (=> @t517 @t515)))) % 0.46/0.88 (assume @p258 (forall @t519 (=> @t515 @t518))) % 0.46/0.88 (assume @p259 (forall @t522 (=> @t507 @t521))) % 0.46/0.88 (assume @p260 (forall (@list @t514 @t481) (=> @t517 (= @t518 @t515)))) % 0.46/0.88 (assume @p261 (= @t513 (lambda (@list @t523 @t524) (and (_ (_ tptp.ord_le630093991_pi_pi @t523) @t524) (_ (_ tptp.ord_le630093991_pi_pi @t524) @t523))))) % 0.46/0.88 (assume @p262 (forall @t522 (=> @t525 @t521))) % 0.46/0.88 (assume @p263 (forall @t522 (=> @t507 (=> (= @t500 @t493) @t520)))) % 0.46/0.88 (assume @p264 (forall (@list @t495 @t500) (=> @t507 (=> (_ @t501 @t495) @t525)))) % 0.46/0.88 (assume @p265 (forall (@list @t481 @t514 @t526) (=> @t518 (=> (_ @t516 @t526) (_ @t482 @t526))))) % 0.46/0.88 (assume @p266 (forall (@list @t495) (_ @t496 @t495))) % 0.46/0.88 (assume @p267 (forall (@list @t168 @t359 @t6) (=> @t527 (= @t492 (_ (_ tptp.res @t168) (_ (_ tptp.perm_name_pi (_ (_ tptp.cons_P1213805021e_name (_ @t7 @t168)) tptp.nil_Pr743626285e_name)) @t359)))))) % 0.46/0.88 (assume @p268 (_ @t532 (_ (_ @t531 tptp.y) @t530))) % 0.46/0.88 (assume @p269 (_ (_ tptp.late_transitions @t475) @t533)) % 0.46/0.88 (assume @p270 (_ @t532 (_ (_ @t531 tptp.x) tptp.p2))) % 0.46/0.88 (assume @p271 (forall (@list @t357 @t22 @t359 @t369) (=> @t362 (=> @t374 (_ (_ (_ tptp.strong743114133lation (_ (_ tptp.sum @t537) (_ @t536 @t369))) @t357) (_ @t536 @t535)))))) % 0.46/0.88 (assume @p272 (_ (_ tptp.late_transitions @t474) @t533)) % 0.46/0.88 (assume @p273 (forall (@list @t90 @t538 @t44 @t60) (= (_ @t539 (_ (_ (_ tptp.late_BoundR @t538) @t44) @t60)) (_ (_ (_ tptp.late_BoundR (_ @t93 @t538)) @t92) @t486)))) % 0.46/0.88 (assume @p274 (forall @t548 (=> @t547 (=> @t542 @t540)))) % 0.46/0.88 (assume @p275 (forall @t548 (=> @t547 (=> @t540 (=> @t553 @t552))))) % 0.46/0.88 (assume @p276 (forall @t548 (=> @t547 (=> @t542 (=> @t553 @t554))))) % 0.46/0.88 (assume @p277 (forall (@list @t359 @t357 @t369 @t358 @t22 @t555) (=> @t563 (=> (_ @t560 (_ @t545 @t555)) (=> @t559 (exists @t558 (and @t557 (_ (_ (_ (_ (_ tptp.strong2129052853vative @t556) @t555) @t358) @t22) @t357)))))))) % 0.46/0.88 (assume @p278 (forall (@list @t369 @t564 @t359) (=> @t566 @t565))) % 0.46/0.88 (assume @p279 (forall (@list @t359 @t564 @t369) (=> @t567 @t565))) % 0.46/0.88 (assume @p280 (forall (@list @t359 @t369 @t564) (=> @t565 (=> (not @t567) @t566)))) % 0.46/0.88 (assume @p281 (forall (@list @t359 @t564 @t22) (=> @t567 (=> @t559 (_ (_ tptp.fresh_81631222sidual @t22) @t564))))) % 0.46/0.88 (assume @p282 (forall (@list @t63 @t568 @t90) (=> (_ (_ tptp.late_transitions @t63) @t568) (_ (_ tptp.late_transitions @t485) (_ @t539 @t568))))) % 0.46/0.88 (assume @p283 (forall @t548 (=> @t547 (=> @t540 (=> @t553 (=> @t559 (=> (_ (_ tptp.fresh_717452603ubject @t22) @t358) @t552))))))) % 0.46/0.88 (assume @p284 (forall (@list @t359 @t202 @t543 @t471) (=> (_ (_ @t561 @t202) @t543) (=> @t472 (_ (_ @t561 @t471) @t543))))) % 0.46/0.88 (assume @p285 (forall @t569 (=> @t362 (_ @t562 @t359)))) % 0.46/0.88 (assume @p286 (forall @t569 (=> @t362 (_ (_ (_ tptp.strong743114133lation @t570) @t357) @t359)))) % 0.46/0.88 (assume @p287 (forall @t575 (=> @t362 (_ (_ (_ tptp.strong743114133lation @t574) @t357) @t572)))) % 0.46/0.88 (assume @p288 (forall @t569 (=> @t362 (_ @t562 @t570)))) % 0.46/0.88 (assume @p289 (forall @t575 (=> @t362 (_ (_ (_ tptp.strong743114133lation @t572) @t357) @t574)))) % 0.46/0.88 (assume @p290 (forall (@list @t357 @t359 @t369) (=> @t362 (_ (_ (_ tptp.strong743114133lation @t535) @t357) (_ @t573 @t359))))) % 0.46/0.88 (assume @p291 (forall (@list @t359 @t357 @t369 @t576 @t365) (=> @t563 (=> (_ (_ tptp.ord_le630093991_pi_pi @t357) @t576) (=> (_ tptp.eqvt_pi @t576) (_ (_ (_ tptp.strong743114133lation @t372) @t576) @t371)))))) % 0.46/0.88 (assume @p292 (forall (@list @t577 @t359 @t358 @t22) (=> (_ (_ tptp.fresh_name_pi @t577) @t359) (= (_ @t545 @t359) (_ (_ @t544 @t577) (_ (_ tptp.perm_name_pi (_ (_ tptp.cons_P1213805021e_name (_ @t447 @t577)) tptp.nil_Pr743626285e_name)) @t359)))))) % 0.46/0.88 (assume @p293 (_ (_ tptp.late_transitions tptp.p) @t578)) % 0.46/0.88 (assume @p294 (_ (_ tptp.late_transitions @t476) @t578)) % 0.46/0.88 (assume @p295 (forall (@list @t582 @t580 @t581 @t579) (= (= (_ (_ tptp.late_OutputR @t582) @t580) (_ (_ tptp.late_OutputR @t581) @t579)) (and (= @t582 @t581) (= @t580 @t579))))) % 0.46/0.88 (assume @p296 (forall (@list @t49 @t44 @t48 @t43) (= (= @t583 (_ (_ tptp.late_OutputR @t48) @t43)) (and @t50 @t45)))) % 0.46/0.88 (assume @p297 (forall (@list @t90 @t49 @t44) (= (_ @t118 @t583) (_ (_ tptp.late_OutputR (_ @t91 @t49)) @t92)))) % 0.46/0.88 (assume @p298 (forall (@list @t6 @t49 @t44) (= (_ @t99 @t583) (and (_ @t105 @t49) @t406)))) % 0.46/0.88 (assume @p299 (forall (@list @t90 @t584 @t63) (= (_ @t539 @t585) (_ (_ tptp.late_FreeR (_ @t118 @t584)) @t485)))) % 0.46/0.88 (assume @p300 (forall (@list @t6 @t584 @t63) (= (_ (_ tptp.fresh_81631222sidual @t6) @t585) (and (_ @t99 @t584) @t483)))) % 0.46/0.88 (assume @p301 (forall (@list @t589 @t588 @t587 @t586 @t487) (not (= (_ (_ (_ tptp.late_BoundR @t589) @t588) @t587) (_ (_ tptp.late_FreeR @t586) @t487))))) % 0.46/0.88 (assume @p302 (forall (@list @t591 @t590) (=> (forall (@list @t595 @t594 @t592) (_ @t591 (_ (_ (_ tptp.late_BoundR @t595) @t594) @t592))) (=> (forall (@list @t593 @t592) (_ @t591 (_ (_ tptp.late_FreeR @t593) @t592))) (_ @t591 @t590))))) % 0.46/0.88 (assume @p303 (forall (@list @t584 @t63 @t596 @t62) (= (= @t585 (_ (_ tptp.late_FreeR @t596) @t62)) (and (= @t584 @t596) @t64)))) % 0.46/0.88 (assume @p304 (forall @t602 (=> @t601 (=> @t599 (_ @t551 (_ @t598 @t550)))))) % 0.46/0.88 (assume @p305 (forall (@list @t22 @t359 @t597 @t543) (=> (_ @t614 @t600) (not (forall @t613 (=> @t612 (=> (= @t600 @t610) @t607))))))) % 0.46/0.88 (assume @p306 (forall (@list @t22 @t359 @t597 @t615 @t616) (=> (_ @t614 (_ @t598 @t615)) (=> (forall @t558 (=> @t617 (=> (_ (_ tptp.fresh_1641682979reeRes @t22) @t597) (_ @t616 (_ @t536 @t556))))) (_ @t616 @t615))))) % 0.46/0.88 (assume @p307 (forall @t602 (=> @t601 (=> @t542 @t554)))) % 0.46/0.88 (assume @p308 (forall @t602 (=> @t601 (=> @t542 @t599)))) % 0.46/0.88 (assume @p309 (forall (@list @t359 @t6 @t5 @t543) (=> (_ @t546 (_ (_ tptp.late_FreeR (_ (_ tptp.late_OutputR @t6) @t5)) @t543)) (=> (not @t344) (_ (_ tptp.late_transitions (_ (_ tptp.res @t5) @t359)) (_ (_ (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t6)) @t5) @t543)))))) % 0.46/0.88 (assume @p310 (forall (@list @t359 @t357 @t369 @t597 @t555) (=> @t563 (=> (_ @t560 (_ @t598 @t555)) (exists @t558 (and @t617 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t556) @t555)) @t357))))))) % 0.46/0.88 (assume @p311 (forall (@list @t577 @t359 @t358 @t623 @t543) (=> (_ (_ tptp.late_transitions @t625) @t624) (=> (forall @t630 (=> (= @t625 @t629) (forall @t558 (=> (= @t624 @t628) @t627)))) (not (forall @t626 (=> (= @t625 @t611) (=> (= @t624 @t622) @t621)))))))) % 0.46/0.88 (assume @p312 (forall (@list @t22 @t359 @t564) (=> (_ @t614 @t564) (=> (forall @t630 (=> (= @t537 @t629) (forall @t558 (=> (= @t564 @t628) @t627)))) (=> (forall @t626 (=> @t612 (=> (= @t564 @t622) @t621))) (not (forall @t613 (=> @t612 (=> (= @t564 @t610) @t607))))))))) % 0.46/0.88 (assume @p313 (forall (@list @t267 @t359 @t358 @t22 @t631 @t632) (=> (_ @t551 (_ @t545 @t631)) (=> (not @t268) (=> @t559 (=> (forall (@list @t178 @t556) (=> (_ @t546 (_ (_ tptp.late_FreeR (_ (_ tptp.late_OutputR @t178) @t267)) @t556)) (=> (not (= @t178 @t267)) (=> (= @t358 @t635) (_ (_ @t632 @t635) (_ @t634 @t556)))))) (=> (forall @t558 (=> @t557 (=> @t540 (_ @t633 (_ @t549 @t556))))) (_ @t633 @t631)))))))) % 0.46/0.88 (assume @p314 (forall (@list @t369 @t359 @t357) (=> (forall (@list @t618 @t211 @t636) (=> (_ @t560 (_ @t639 @t636)) (=> (_ (_ tptp.fresh_name_pi @t211) @t359) (exists @t638 (and (_ @t546 (_ @t639 @t637)) (_ (_ (_ (_ (_ tptp.strong2129052853vative @t637) @t636) @t618) @t211) @t357)))))) (=> (forall (@list @t603 @t636) (=> (_ @t560 (_ @t604 @t636)) (exists @t638 (and (_ @t546 (_ @t604 @t637)) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t637) @t636)) @t357))))) @t563)))) % 0.46/0.88 (assume @p315 (forall (@list @t643 @t641 @t642 @t640) (= (= (_ (_ tptp.late_r347633188eR_Rep @t643) @t641) (_ (_ tptp.late_r347633188eR_Rep @t642) @t640)) (and (= @t643 @t642) (= @t641 @t640))))) % 0.46/0.88 (assume @p316 (forall (@list @t168 @t359 @t6 @t22) (=> @t527 (= @t645 (_ (_ @t644 @t168) (_ (_ tptp.perm_name_pi (_ (_ tptp.cons_P1213805021e_name (_ @t447 @t168)) tptp.nil_Pr743626285e_name)) @t359)))))) % 0.46/0.88 (assume @p317 (forall (@list @t90 @t646 @t44 @t60) (= (_ @t122 (_ (_ (_ tptp.input @t646) @t44) @t60)) (_ (_ (_ tptp.input (_ @t91 @t646)) @t92) @t486)))) % 0.46/0.88 (assume @p318 (forall (@list @t22 @t267 @t359 @t564) (not (_ (_ tptp.late_transitions (_ @t536 (_ (_ (_ tptp.input @t22) @t267) @t359))) @t564)))) % 0.46/0.88 (assume @p319 (forall (@list @t650 @t649 @t587 @t648 @t647) (not (= @t651 (_ (_ tptp.sum @t648) @t647))))) % 0.46/0.88 (assume @p320 (forall (@list @t650 @t649 @t587 @t488 @t487) (not (= @t651 @t489)))) % 0.46/0.88 (assume @p321 (forall (@list @t6 @t22 @t359 @t597 @t543) (not (_ @t652 @t600)))) % 0.46/0.88 (assume @p322 (forall (@list @t22 @t6 @t267 @t359 @t597 @t543) (not (_ @t653 @t600)))) % 0.46/0.88 (assume @p323 (forall (@list @t6 @t22 @t359 @t5 @t267 @t543) (not (_ @t652 (_ (_ @t654 @t267) @t543))))) % 0.46/0.88 (assume @p324 (forall (@list @t6 @t22 @t359 @t655 @t267 @t543) (=> (_ @t652 (_ @t656 @t543)) (not (_ @t97 @t655))))) % 0.46/0.88 (assume @p325 (forall (@list @t22 @t6 @t267 @t359 @t5 @t657 @t543) (not (_ @t653 (_ (_ @t654 @t657) @t543))))) % 0.46/0.88 (assume @p326 (forall (@list @t6 @t22 @t359 @t655 @t267 @t631 @t658) (=> (_ @t652 (_ @t656 @t631)) (=> (not (= @t267 @t6)) (=> @t553 (=> @t542 (=> (=> (= @t655 @t660) (=> (= @t631 @t659) (_ (_ (_ @t658 @t660) @t267) @t659))) (_ (_ (_ @t658 @t655) @t267) @t631)))))))) % 0.46/0.88 (assume @p327 (forall (@list @t6 @t5 @t90 @t22) (= (_ (_ tptp.perm_name_name (_ @t9 @t90)) @t22) (_ (_ tptp.swap_name @t8) @t121)))) % 0.46/0.88 (assume @p328 (forall @t47 (= (= @t661 (_ tptp.late_InputS @t43)) @t45))) % 0.46/0.88 (assume @p329 (forall @t407 (= (_ @t97 @t661) @t406))) % 0.46/0.88 (assume @p330 (forall @t94 (= (_ @t93 @t661) (_ tptp.late_InputS @t92)))) % 0.46/0.88 (assume @p331 (forall (@list @t588 @t488) (not (= (_ tptp.late_InputS @t588) (_ tptp.late_BoundOutputS @t488))))) % 0.46/0.88 (assume @p332 (forall @t662 (= (_ (_ (_ tptp.if_pi false) @t26) @t272) @t272))) % 0.46/0.88 (assume @p333 (forall @t662 (= (_ (_ (_ tptp.if_pi true) @t26) @t272) @t26))) % 0.46/0.88 (assume @p334 (forall @t663 (= (_ (_ (_ tptp.if_name false) @t22) @t267) @t267))) % 0.46/0.88 (assume @p335 (forall @t663 (= (_ (_ (_ tptp.if_name true) @t22) @t267) @t22))) % 0.46/0.88 (assume @p336 (forall @t664 (= (_ (_ (_ tptp.if_pi_Rep false) @t18) @t262) @t262))) % 0.46/0.88 (assume @p337 (forall @t664 (= (_ (_ (_ tptp.if_pi_Rep true) @t18) @t262) @t18))) % 0.46/0.88 (assume @p338 (forall @t665 (= (_ (_ (_ tptp.if_Late_freeRes false) @t14) @t257) @t257))) % 0.46/0.88 (assume @p339 (forall @t665 (= (_ (_ (_ tptp.if_Late_freeRes true) @t14) @t257) @t14))) % 0.46/0.88 (assume @p340 (forall (@list @t666) (or (= @t666 true) (= @t666 false)))) % 0.46/0.88 (assume @p341 (forall @t667 (= (_ (_ (_ tptp.if_Late_subject false) @t4) @t252) @t252))) % 0.46/0.88 (assume @p342 (forall @t667 (= (_ (_ (_ tptp.if_Late_subject true) @t4) @t252) @t4))) % 0.46/0.88 (assume @p343 @t669) % 0.46/0.88 (assume @p344 true) % 0.46/0.88 (step @p345 (= tptp.eqvt_pi @t672) :rule refl :args (@t672)) % 0.46/0.88 (step @p346 (= tptp.fresh_name_name @t675) :rule refl :args (@t675)) % 0.46/0.88 (step @p347 (= tptp.strong743114133lation @t688) :rule refl :args (@t688)) % 0.46/0.88 (step @p348 :rule refl :args (@t689)) % 0.46/0.88 (step @p349 :rule refl :args (@t361)) % 0.46/0.88 (step @p350 :rule cong :premises (@p349 @p348) :args ((= @t361 @t689))) % 0.46/0.88 (step @p351 :rule symm :premises (@p350)) % 0.46/0.88 (step @p352 :rule eq_resolve :premises (@p349 @p351)) % 0.46/0.88 (step @p353 :rule refl :args (@t690)) % 0.46/0.88 (step @p354 :rule refl :args (@t362)) % 0.46/0.88 (step @p355 :rule cong :premises (@p354 @p353) :args ((= @t362 @t690))) % 0.46/0.88 (step @p356 :rule symm :premises (@p355)) % 0.46/0.88 (step @p357 :rule eq_resolve :premises (@p354 @p356)) % 0.46/0.88 (step @p358 :rule cong :premises (@p357) :args (@t691)) % 0.46/0.88 (step @p359 :rule nary_cong :premises (@p358 @p352) :args (@t692)) % 0.46/0.88 (step @p360 :rule cong :premises (@p359) :args ((forall @t363 @t692))) % 0.46/0.88 (step @p361 :rule bool-impl-elim :args (@t362 @t361)) % 0.46/0.88 (step @p362 :rule cong :premises (@p361) :args (@t364)) % 0.46/0.88 (step @p363 :rule trans :premises (@p362 @p360)) % 0.46/0.88 (step @p364 :rule eq_resolve :premises (@p178 @p363)) % 0.46/0.88 (step @p365 :rule refl :args (@t693)) % 0.46/0.88 (step @p366 :rule refl :args (@t2)) % 0.46/0.88 (step @p367 :rule cong :premises (@p366 @p365) :args ((= @t2 @t693))) % 0.46/0.88 (step @p368 :rule symm :premises (@p367)) % 0.46/0.88 (step @p369 :rule eq_resolve :premises (@p366 @p368)) % 0.46/0.88 (step @p370 :rule eq_resolve :premises (@p1 @p369)) % 0.46/0.88 (step @p371 :rule refl :args ((tptp.strong2129052853vative @t530 @t530 @t3 tptp.y tptp.rel))) % 0.46/0.88 (step @p372 :rule refl :args (tptp.rel)) % 0.46/0.88 (step @p373 :rule refl :args (tptp.y)) % 0.46/0.88 (step @p374 :rule refl :args (@t694)) % 0.46/0.88 (step @p375 :rule refl :args ((tptp.perm_name_pi @t529 tptp.p2))) % 0.46/0.88 (step @p376 :rule refl :args (tptp.p2)) % 0.46/0.88 (step @p377 :rule refl :args ((tptp.cons_P1213805021e_name @t528 tptp.nil_Pr743626285e_name))) % 0.46/0.88 (step @p378 :rule refl :args (tptp.nil_Pr743626285e_name)) % 0.46/0.88 (step @p379 :rule refl :args (@t695)) % 0.46/0.88 (step @p380 :rule cong :premises (@p379 @p378) :args (@t696)) % 0.46/0.88 (step @p381 :rule trans :premises (@p380 @p377)) % 0.46/0.88 (step @p382 :rule cong :premises (@p381 @p376) :args (@t697)) % 0.46/0.88 (step @p383 :rule trans :premises (@p382 @p375)) % 0.46/0.88 (step @p384 :rule cong :premises (@p383 @p383 @p374 @p373 @p372) :args (@t698)) % 0.46/0.88 (step @p385 :rule trans :premises (@p384 @p371)) % 0.46/0.88 (step @p386 :rule refl :args (tptp.strong2129052853vative)) % 0.46/0.88 (step @p387 :rule ho_cong :premises (@p386 @p383)) % 0.46/0.88 (step @p388 :rule ho_cong :premises (@p387 @p383)) % 0.46/0.88 (step @p389 :rule ho_cong :premises (@p388 @p374)) % 0.46/0.88 (step @p390 :rule ho_cong :premises (@p389 @p373)) % 0.46/0.88 (step @p391 :rule ho_cong :premises (@p390 @p372)) % 0.46/0.88 (step @p392 :rule cong :premises (@p391 @p385) :args ((= (_ (_ (_ (_ (_ tptp.strong2129052853vative @t697) @t697) @t694) tptp.y) tptp.rel) @t698))) % 0.46/0.88 (step @p393 :rule symm :premises (@p392)) % 0.46/0.88 (step @p394 :rule refl :args (@t668)) % 0.46/0.88 (step @p395 :rule eq_resolve :premises (@p394 @p393)) % 0.46/0.88 (step @p396 :rule refl :args (tptp.rel)) % 0.46/0.88 (step @p397 :rule refl :args (tptp.y)) % 0.46/0.88 (step @p398 :rule refl :args (@t3)) % 0.46/0.88 (step @p399 :rule cong :premises (@p398 @p374) :args ((= @t3 @t694))) % 0.46/0.88 (step @p400 :rule symm :premises (@p399)) % 0.46/0.88 (step @p401 :rule eq_resolve :premises (@p398 @p400)) % 0.46/0.88 (step @p402 :rule refl :args (tptp.perm_name_pi)) % 0.46/0.88 (step @p403 :rule ho_cong :premises (@p402 @p381)) % 0.46/0.88 (step @p404 :rule ho_cong :premises (@p403 @p376)) % 0.46/0.88 (step @p405 :rule cong :premises (@p404 @p383) :args ((= (_ (_ tptp.perm_name_pi @t696) tptp.p2) @t697))) % 0.46/0.88 (step @p406 :rule symm :premises (@p405)) % 0.46/0.88 (step @p407 :rule refl :args (@t530)) % 0.46/0.88 (step @p408 :rule eq_resolve :premises (@p407 @p406)) % 0.46/0.88 (step @p409 :rule refl :args (tptp.p2)) % 0.46/0.88 (step @p410 :rule refl :args (tptp.cons_P1213805021e_name)) % 0.46/0.88 (step @p411 :rule ho_cong :premises (@p410 @p379)) % 0.46/0.88 (step @p412 :rule ho_cong :premises (@p411 @p378)) % 0.46/0.88 (step @p413 :rule cong :premises (@p412 @p381) :args ((= (_ (_ tptp.cons_P1213805021e_name @t695) tptp.nil_Pr743626285e_name) @t696))) % 0.46/0.88 (step @p414 :rule symm :premises (@p413)) % 0.46/0.88 (step @p415 :rule refl :args (@t529)) % 0.46/0.88 (step @p416 :rule eq_resolve :premises (@p415 @p414)) % 0.46/0.88 (step @p417 :rule refl :args (tptp.nil_Pr743626285e_name)) % 0.46/0.88 (step @p418 :rule refl :args (@t528)) % 0.46/0.88 (step @p419 :rule cong :premises (@p418 @p379) :args ((= @t528 @t695))) % 0.46/0.88 (step @p420 :rule symm :premises (@p419)) % 0.46/0.88 (step @p421 :rule eq_resolve :premises (@p418 @p420)) % 0.46/0.88 (step @p422 :rule refl :args (tptp.cons_P1213805021e_name)) % 0.46/0.88 (step @p423 :rule ho_cong :premises (@p422 @p421)) % 0.46/0.88 (step @p424 :rule ho_cong :premises (@p423 @p417)) % 0.46/0.88 (step @p425 :rule trans :premises (@p424 @p416)) % 0.46/0.88 (step @p426 :rule refl :args (tptp.perm_name_pi)) % 0.46/0.88 (step @p427 :rule ho_cong :premises (@p426 @p425)) % 0.46/0.88 (step @p428 :rule ho_cong :premises (@p427 @p409)) % 0.46/0.88 (step @p429 :rule trans :premises (@p428 @p408)) % 0.46/0.88 (step @p430 :rule refl :args (tptp.strong2129052853vative)) % 0.46/0.88 (step @p431 :rule ho_cong :premises (@p430 @p429)) % 0.46/0.88 (step @p432 :rule ho_cong :premises (@p431 @p429)) % 0.46/0.88 (step @p433 :rule ho_cong :premises (@p432 @p401)) % 0.46/0.88 (step @p434 :rule ho_cong :premises (@p433 @p397)) % 0.46/0.88 (step @p435 :rule ho_cong :premises (@p434 @p396)) % 0.46/0.88 (step @p436 :rule trans :premises (@p435 @p395)) % 0.46/0.88 (step @p437 :rule cong :premises (@p436) :args (@t669)) % 0.46/0.88 (step @p438 :rule eq_resolve :premises (@p343 @p437)) % 0.46/0.88 (step @p439 :rule cnf_or_pos :args (@t700)) % 0.46/0.88 (step @p440 :rule reordering :premises (@p439) :args ((or @t698 @t699 @t701))) % 0.46/0.88 (step @p441 :rule chain_m_resolution :premises (@p440 @p438 @p370) :args (@t701 @t702 (@list @t698 @t693))) % 0.46/0.88 (assume-push @p448 @t703) % 0.46/0.88 (step @p443 :rule instantiate :premises (@p364) :args ((@list tptp.rel @t697 @t694 tptp.y))) % 0.46/0.88 (step-pop @p449 :rule scope :premises (@p443)) % 0.46/0.88 (step @p444 :rule process_scope :premises (@p449) :args (@t700)) % 0.46/0.88 (step @p446 :rule implies_elim :premises (@p444)) % 0.46/0.88 (step @p447 false :rule chain_m_resolution :premises (@p446 @p441 @p364) :args (false @t702 (@list @t700 @t703))) % 0.46/0.88 ) % 0.46/0.88 % SZS output end Proof % 0.46/0.88 % cvc5 exiting %------------------------------------------------------------------------------