%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP190^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : 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 08:25:19 AM UTC 2026 % Result : Theorem 0.44s 0.86s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP190^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n005.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 04:18:03 EDT 2026 % 0.15/0.34 % CPUTime : % 0.38/0.59 %----Proving TH0 % 0.44/0.86 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.86 % SZS status Theorem % 0.44/0.86 % SZS output start Proof % 0.44/0.86 ( % 0.44/0.86 (declare-sort tptp.name 0) % 0.44/0.86 (declare-sort tptp.pi 0) % 0.44/0.86 (declare-sort tptp.noption_pi 0) % 0.44/0.86 (declare-sort tptp.late_freeRes 0) % 0.44/0.86 (declare-sort tptp.late_residual_Rep 0) % 0.44/0.86 (declare-sort tptp.produc367475239e_name 0) % 0.44/0.86 (declare-sort tptp.list_P227219501e_name 0) % 0.44/0.86 (declare-sort tptp.list_l1406151091e_name 0) % 0.44/0.86 (declare-sort tptp.produc992857746Res_pi 0) % 0.44/0.86 (declare-sort tptp.produc2052722628s_name 0) % 0.44/0.86 (declare-sort tptp.produc1777919905pi_Rep 0) % 0.44/0.86 (declare-sort tptp.pi_Rep 0) % 0.44/0.86 (declare-sort tptp.set_name 0) % 0.44/0.86 (declare-sort tptp.set_pi_Rep 0) % 0.44/0.86 (declare-sort tptp.late_subject 0) % 0.44/0.86 (declare-sort tptp.list_Late_freeRes 0) % 0.44/0.86 (declare-sort tptp.list_name 0) % 0.44/0.86 (declare-sort tptp.set_Late_freeRes 0) % 0.44/0.86 (declare-sort tptp.set_Pr1834926343_pi_pi 0) % 0.44/0.86 (declare-sort tptp.set_Late_subject 0) % 0.44/0.86 (declare-sort tptp.product_prod_pi_pi 0) % 0.44/0.86 (declare-sort tptp.set_pi 0) % 0.44/0.86 (declare-sort tptp.produc2008547984reeRes 0) % 0.44/0.86 (declare-sort tptp.late_residual 0) % 0.44/0.86 (declare-sort tptp.produc355105483reeRes 0) % 0.44/0.86 (declare-sort tptp.list_pi 0) % 0.44/0.86 (declare-sort tptp.produc1359399907ubject 0) % 0.44/0.86 (declare-sort tptp.produc214645451ubject 0) % 0.44/0.86 (declare-sort tptp.late_subject_Rep 0) % 0.44/0.86 (declare-sort tptp.list_Late_subject 0) % 0.44/0.86 (declare-sort tptp.late_freeRes_Rep 0) % 0.44/0.86 (declare-sort tptp.produc140253050ect_pi 0) % 0.44/0.86 (declare-sort tptp.produc865358760ubject 0) % 0.44/0.86 (declare-sort tptp.produc890461031e_name 0) % 0.44/0.86 (declare-sort tptp.produc1357834675reeRes 0) % 0.44/0.86 (declare-sort tptp.list_name_noption_pi 0) % 0.44/0.86 (declare-sort tptp.produc1998742700t_name 0) % 0.44/0.86 (declare-sort tptp.produc257012921pi_Rep 0) % 0.44/0.86 (declare-sort tptp.produc1872410278e_name 0) % 0.44/0.86 (declare-sort tptp.list_pi_Rep 0) % 0.44/0.86 (declare-const tptp.product_Pair_pi_pi (-> tptp.pi tptp.pi tptp.product_prod_pi_pi)) % 0.44/0.86 (declare-const tptp.member558706512_pi_pi (-> tptp.product_prod_pi_pi tptp.set_Pr1834926343_pi_pi Bool)) % 0.44/0.86 (declare-const tptp.fresh_name_pi (-> tptp.name tptp.pi Bool)) % 0.44/0.86 (declare-const tptp.late_FreeR (-> tptp.late_freeRes tptp.pi tptp.late_residual)) % 0.44/0.86 (declare-const tptp.late_transitions (-> tptp.pi tptp.late_residual Bool)) % 0.44/0.86 (declare-const tptp.strong2129052853vative (-> tptp.pi tptp.pi tptp.late_subject tptp.name tptp.set_Pr1834926343_pi_pi Bool)) % 0.44/0.86 (declare-const tptp.late_BoundR (-> tptp.late_subject tptp.name tptp.pi tptp.late_residual)) % 0.44/0.86 (declare-const tptp.abs_fun_name_pi (-> tptp.name tptp.pi tptp.name tptp.noption_pi)) % 0.44/0.86 (declare-const tptp.eqvt_pi (-> tptp.set_Pr1834926343_pi_pi Bool)) % 0.44/0.86 (declare-const tptp.perm_name_set_name (-> tptp.list_P227219501e_name tptp.set_name tptp.set_name)) % 0.44/0.86 (declare-const tptp.member_pi_Rep (-> tptp.pi_Rep tptp.set_pi_Rep Bool)) % 0.44/0.86 (declare-const tptp.perm_name_set_pi (-> tptp.list_P227219501e_name tptp.set_pi tptp.set_pi)) % 0.44/0.86 (declare-const tptp.member_Late_freeRes (-> tptp.late_freeRes tptp.set_Late_freeRes Bool)) % 0.44/0.86 (declare-const tptp.perm_n1333244520reeRes (-> tptp.list_P227219501e_name (-> tptp.pi tptp.late_freeRes) tptp.pi tptp.late_freeRes)) % 0.44/0.86 (declare-const tptp.perm_n1841560599reeRes (-> tptp.list_P227219501e_name (-> tptp.pi_Rep tptp.late_freeRes) tptp.pi_Rep tptp.late_freeRes)) % 0.44/0.86 (declare-const tptp.member_pi (-> tptp.pi tptp.set_pi Bool)) % 0.44/0.86 (declare-const tptp.perm_n1446290985reeRes (-> tptp.list_P227219501e_name (-> tptp.late_freeRes tptp.late_freeRes) tptp.late_freeRes tptp.late_freeRes)) % 0.44/0.86 (declare-const tptp.member_Late_subject (-> tptp.late_subject tptp.set_Late_subject Bool)) % 0.44/0.86 (declare-const tptp.perm_n443561793reeRes (-> tptp.list_P227219501e_name (-> tptp.late_subject tptp.late_freeRes) tptp.late_subject tptp.late_freeRes)) % 0.44/0.86 (declare-const tptp.q tptp.pi) % 0.44/0.86 (declare-const tptp.perm_n303101761ubject (-> tptp.list_P227219501e_name (-> tptp.late_freeRes tptp.late_subject) tptp.late_freeRes tptp.late_subject)) % 0.44/0.86 (declare-const tptp.input (-> tptp.name tptp.name tptp.pi tptp.pi)) % 0.44/0.86 (declare-const tptp.p tptp.pi) % 0.44/0.86 (declare-const tptp.perm_name_set_pi_Rep (-> tptp.list_P227219501e_name tptp.set_pi_Rep tptp.set_pi_Rep)) % 0.44/0.86 (declare-const tptp.perm_n1447856217ubject (-> tptp.list_P227219501e_name (-> tptp.late_subject tptp.late_subject) tptp.late_subject tptp.late_subject)) % 0.44/0.86 (declare-const tptp.name_prm_name (-> tptp.list_P227219501e_name tptp.name tptp.name)) % 0.44/0.86 (declare-const tptp.rel tptp.set_Pr1834926343_pi_pi) % 0.44/0.86 (declare-const tptp.perm_n382765978reeRes (-> tptp.list_P227219501e_name (-> tptp.name tptp.late_freeRes) tptp.name tptp.late_freeRes)) % 0.44/0.86 (declare-const tptp.produc208131031e_name (-> tptp.list_P227219501e_name tptp.list_P227219501e_name tptp.produc890461031e_name)) % 0.44/0.86 (declare-const tptp.perm_n1160739829e_name (-> tptp.list_P227219501e_name tptp.list_P227219501e_name tptp.list_P227219501e_name)) % 0.44/0.86 (declare-const tptp.perm_n1555914327reeRes (-> tptp.list_P227219501e_name tptp.set_Late_freeRes tptp.set_Late_freeRes)) % 0.44/0.86 (declare-const tptp.perm_name_o (-> tptp.list_P227219501e_name Bool Bool)) % 0.44/0.86 (declare-const tptp.swap_name (-> tptp.produc367475239e_name tptp.name tptp.name)) % 0.44/0.86 (declare-const tptp.aa tptp.name) % 0.44/0.86 (declare-const tptp.fresh_543891186ion_pi (-> tptp.name (-> tptp.name tptp.noption_pi) Bool)) % 0.44/0.86 (declare-const tptp.perm_n698371375ubject (-> tptp.list_P227219501e_name (-> tptp.pi_Rep tptp.late_subject) tptp.pi_Rep tptp.late_subject)) % 0.44/0.86 (declare-const tptp.fresh_1641682979reeRes (-> tptp.name tptp.late_freeRes Bool)) % 0.44/0.86 (declare-const tptp.perm_n1667196784ion_pi (-> tptp.list_P227219501e_name (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) % 0.44/0.86 (declare-const tptp.nil_Pr743626285e_name tptp.list_P227219501e_name) % 0.44/0.86 (declare-const tptp.alpha tptp.late_freeRes) % 0.44/0.86 (declare-const tptp.perm_n675238095_pi_pi (-> tptp.list_P227219501e_name tptp.set_Pr1834926343_pi_pi tptp.set_Pr1834926343_pi_pi)) % 0.44/0.86 (declare-const tptp.q_a tptp.pi) % 0.44/0.86 (declare-const tptp.perm_n190055296ubject (-> tptp.list_P227219501e_name (-> tptp.pi tptp.late_subject) tptp.pi tptp.late_subject)) % 0.44/0.86 (declare-const tptp.y tptp.name) % 0.44/0.86 (declare-const tptp.perm_name_pi (-> tptp.list_P227219501e_name tptp.pi tptp.pi)) % 0.44/0.86 (declare-const tptp.if_pi (-> Bool tptp.pi tptp.pi tptp.pi)) % 0.44/0.86 (declare-const tptp.perm_n1415585007_pi_pi (-> tptp.list_P227219501e_name tptp.product_prod_pi_pi tptp.product_prod_pi_pi)) % 0.44/0.86 (declare-const tptp.perm_n1387060402ubject (-> tptp.list_P227219501e_name (-> tptp.name tptp.late_subject) tptp.name tptp.late_subject)) % 0.44/0.86 (declare-const tptp.cons_P1213805021e_name (-> tptp.produc367475239e_name tptp.list_P227219501e_name tptp.list_P227219501e_name)) % 0.44/0.86 (declare-const tptp.perm_n1559866809ubject (-> tptp.list_P227219501e_name tptp.late_subject tptp.late_subject)) % 0.44/0.86 (declare-const tptp.perm_n890803237al_Rep (-> tptp.list_P227219501e_name tptp.late_residual_Rep tptp.late_residual_Rep)) % 0.44/0.86 (declare-const tptp.perm_n1938283068es_Rep (-> tptp.list_P227219501e_name tptp.late_freeRes_Rep tptp.late_freeRes_Rep)) % 0.44/0.86 (declare-const tptp.if_Late_subject (-> Bool tptp.late_subject tptp.late_subject tptp.late_subject)) % 0.44/0.86 (declare-const tptp.subs (-> tptp.pi tptp.name tptp.name tptp.pi)) % 0.44/0.86 (declare-const tptp.x tptp.name) % 0.44/0.86 (declare-const tptp.late_BoundOutputS (-> tptp.name tptp.late_subject)) % 0.44/0.86 (declare-const tptp.perm_n414416632sidual (-> tptp.list_P227219501e_name tptp.late_residual tptp.late_residual)) % 0.44/0.86 (declare-const tptp.late_OutputR (-> tptp.name tptp.name tptp.late_freeRes)) % 0.44/0.86 (declare-const tptp.produc1570949143e_name (-> tptp.name tptp.name tptp.produc367475239e_name)) % 0.44/0.86 (declare-const tptp.b tptp.name) % 0.44/0.86 (declare-const tptp.perm_name_name (-> tptp.list_P227219501e_name tptp.name tptp.name)) % 0.44/0.86 (declare-const tptp.z tptp.name) % 0.44/0.86 (declare-const tptp.if_name (-> Bool tptp.name tptp.name tptp.name)) % 0.44/0.86 (declare-const tptp.collec1051790738_pi_pi (-> (-> tptp.product_prod_pi_pi Bool) tptp.set_Pr1834926343_pi_pi)) % 0.44/0.86 (declare-const tptp.p2 tptp.pi) % 0.44/0.86 (declare-const tptp.fresh_name_pi_Rep (-> tptp.name tptp.pi_Rep Bool)) % 0.44/0.86 (declare-const tptp.perm_n336613537reeRes (-> tptp.list_P227219501e_name tptp.late_freeRes tptp.late_freeRes)) % 0.44/0.86 (declare-const tptp.if_Late_freeRes (-> Bool tptp.late_freeRes tptp.late_freeRes tptp.late_freeRes)) % 0.44/0.86 (declare-const tptp.res (-> tptp.name tptp.pi tptp.pi)) % 0.44/0.86 (declare-const tptp.q2 tptp.pi) % 0.44/0.86 (declare-const tptp.perm_name_pi_Rep (-> tptp.list_P227219501e_name tptp.pi_Rep tptp.pi_Rep)) % 0.44/0.86 (declare-const tptp.if_pi_Rep (-> Bool tptp.pi_Rep tptp.pi_Rep tptp.pi_Rep)) % 0.44/0.86 (declare-const tptp.late_TauR tptp.late_freeRes) % 0.44/0.86 (declare-const tptp.perm_n412725103ubject (-> tptp.list_P227219501e_name tptp.set_Late_subject tptp.set_Late_subject)) % 0.44/0.86 (declare-const tptp.fresh_922791155e_name (-> tptp.name tptp.list_P227219501e_name Bool)) % 0.44/0.86 (declare-const tptp.perm_n697952036ct_Rep (-> tptp.list_P227219501e_name tptp.late_subject_Rep tptp.late_subject_Rep)) % 0.44/0.86 (declare-const tptp.member_name (-> tptp.name tptp.set_name Bool)) % 0.44/0.86 (declare-const tptp.fresh_717452603ubject (-> tptp.name tptp.late_subject Bool)) % 0.44/0.86 (declare-const tptp.produc1465345179ubject (-> tptp.late_subject tptp.late_subject tptp.produc1359399907ubject)) % 0.44/0.86 (declare-const tptp.fresh_495373993ubject (-> tptp.name tptp.produc1359399907ubject Bool)) % 0.44/0.86 (declare-const tptp.produc242091907reeRes (-> tptp.late_subject tptp.late_freeRes tptp.produc355105483reeRes)) % 0.44/0.86 (declare-const tptp.fresh_1638563217reeRes (-> tptp.name tptp.produc355105483reeRes Bool)) % 0.44/0.86 (declare-const tptp.produc1647375838t_name (-> tptp.late_subject tptp.name tptp.produc1998742700t_name)) % 0.44/0.86 (declare-const tptp.fresh_1953561446t_name (-> tptp.name tptp.produc1998742700t_name Bool)) % 0.44/0.86 (declare-const tptp.produc324947500ect_pi (-> tptp.late_subject tptp.pi tptp.produc140253050ect_pi)) % 0.44/0.86 (declare-const tptp.fresh_994896692ect_pi (-> tptp.name tptp.produc140253050ect_pi Bool)) % 0.44/0.86 (declare-const tptp.produc320590723ubject (-> tptp.late_freeRes tptp.late_subject tptp.produc214645451ubject)) % 0.44/0.86 (declare-const tptp.fresh_1498103185ubject (-> tptp.name tptp.produc214645451ubject Bool)) % 0.44/0.86 (declare-const tptp.produc1244821099reeRes (-> tptp.late_freeRes tptp.late_freeRes tptp.produc1357834675reeRes)) % 0.44/0.86 (declare-const tptp.fresh_493808761reeRes (-> tptp.name tptp.produc1357834675reeRes Bool)) % 0.44/0.86 (declare-const tptp.produc1701355766s_name (-> tptp.late_freeRes tptp.name tptp.produc2052722628s_name)) % 0.44/0.86 (declare-const tptp.fresh_2007541374s_name (-> tptp.name tptp.produc2052722628s_name Bool)) % 0.44/0.86 (declare-const tptp.produc1177552196Res_pi (-> tptp.late_freeRes tptp.pi tptp.produc992857746Res_pi)) % 0.44/0.86 (declare-const tptp.fresh_1847501388Res_pi (-> tptp.name tptp.produc992857746Res_pi Bool)) % 0.44/0.86 (declare-const tptp.produc607574050ubject (-> tptp.name tptp.late_subject tptp.produc865358760ubject)) % 0.44/0.86 (declare-const tptp.fresh_820177506ubject (-> tptp.name tptp.produc865358760ubject Bool)) % 0.44/0.86 (declare-const tptp.produc1531804426reeRes (-> tptp.name tptp.late_freeRes tptp.produc2008547984reeRes)) % 0.44/0.86 (declare-const tptp.fresh_1963366730reeRes (-> tptp.name tptp.produc2008547984reeRes Bool)) % 0.44/0.86 (declare-const tptp.fresh_838462539ubject (-> tptp.name tptp.list_Late_subject Bool)) % 0.44/0.86 (declare-const tptp.cons_Late_subject (-> tptp.late_subject tptp.list_Late_subject tptp.list_Late_subject)) % 0.44/0.86 (declare-const tptp.fresh_1981651763reeRes (-> tptp.name tptp.list_Late_freeRes Bool)) % 0.44/0.86 (declare-const tptp.cons_Late_freeRes (-> tptp.late_freeRes tptp.list_Late_freeRes tptp.list_Late_freeRes)) % 0.44/0.86 (declare-const tptp.fresh_name_list_name (-> tptp.name tptp.list_name Bool)) % 0.44/0.86 (declare-const tptp.cons_name (-> tptp.name tptp.list_name tptp.list_name)) % 0.44/0.86 (declare-const tptp.fresh_name_list_pi (-> tptp.name tptp.list_pi Bool)) % 0.44/0.86 (declare-const tptp.swap_name2 (-> tptp.produc367475239e_name tptp.name tptp.name)) % 0.44/0.86 (declare-const tptp.cons_pi (-> tptp.pi tptp.list_pi tptp.list_pi)) % 0.44/0.86 (declare-const tptp.fresh_1135477378ion_pi (-> tptp.name tptp.list_name_noption_pi Bool)) % 0.44/0.86 (declare-const tptp.cons_name_noption_pi (-> (-> tptp.name tptp.noption_pi) tptp.list_name_noption_pi tptp.list_name_noption_pi)) % 0.44/0.86 (declare-const tptp.fresh_441084397e_name (-> tptp.name tptp.produc367475239e_name Bool)) % 0.44/0.86 (declare-const tptp.fresh_1627595501_pi_pi (-> tptp.name tptp.product_prod_pi_pi Bool)) % 0.44/0.86 (declare-const tptp.perm_n1812647369ubject (-> tptp.list_P227219501e_name tptp.list_Late_subject tptp.list_Late_subject)) % 0.44/0.86 (declare-const tptp.perm_n808352945reeRes (-> tptp.list_P227219501e_name tptp.list_Late_freeRes tptp.list_Late_freeRes)) % 0.44/0.86 (declare-const tptp.perm_n729617823pi_Rep (-> tptp.list_P227219501e_name tptp.list_pi_Rep tptp.list_pi_Rep)) % 0.44/0.86 (declare-const tptp.cons_pi_Rep (-> tptp.pi_Rep tptp.list_pi_Rep tptp.list_pi_Rep)) % 0.44/0.86 (declare-const tptp.perm_name_list_name (-> tptp.list_P227219501e_name tptp.list_name tptp.list_name)) % 0.44/0.86 (declare-const tptp.perm_name_list_pi (-> tptp.list_P227219501e_name tptp.list_pi tptp.list_pi)) % 0.44/0.86 (declare-const tptp.late_InputS (-> tptp.name tptp.late_subject)) % 0.44/0.86 (declare-const tptp.fresh_81631222sidual (-> tptp.name tptp.late_residual Bool)) % 0.44/0.86 (declare-const tptp.produc1069608854e_name (-> (-> tptp.produc367475239e_name tptp.produc367475239e_name Bool) tptp.list_P227219501e_name tptp.produc1872410278e_name)) % 0.44/0.86 (declare-const tptp.perm_n171497387ubject (-> tptp.list_P227219501e_name tptp.produc1359399907ubject tptp.produc1359399907ubject)) % 0.44/0.86 (declare-const tptp.perm_n1314686611reeRes (-> tptp.list_P227219501e_name tptp.produc355105483reeRes tptp.produc355105483reeRes)) % 0.44/0.86 (declare-const tptp.produc843063281pi_Rep (-> tptp.late_subject tptp.pi_Rep tptp.produc257012921pi_Rep)) % 0.44/0.86 (declare-const tptp.perm_n1467004033pi_Rep (-> tptp.list_P227219501e_name tptp.produc257012921pi_Rep tptp.produc257012921pi_Rep)) % 0.44/0.86 (declare-const tptp.perm_n204483300t_name (-> tptp.list_P227219501e_name tptp.produc1998742700t_name tptp.produc1998742700t_name)) % 0.44/0.86 (declare-const tptp.perm_n359102898ect_pi (-> tptp.list_P227219501e_name tptp.produc140253050ect_pi tptp.produc140253050ect_pi)) % 0.44/0.86 (declare-const tptp.perm_n1174226579ubject (-> tptp.list_P227219501e_name tptp.produc214645451ubject tptp.produc214645451ubject)) % 0.44/0.86 (declare-const tptp.nil_li29751603e_name tptp.list_l1406151091e_name) % 0.44/0.86 (declare-const tptp.perm_n169932155reeRes (-> tptp.list_P227219501e_name tptp.produc1357834675reeRes tptp.produc1357834675reeRes)) % 0.44/0.86 (declare-const tptp.produc216486617pi_Rep (-> tptp.late_freeRes tptp.pi_Rep tptp.produc1777919905pi_Rep)) % 0.44/0.86 (declare-const tptp.perm_n840427369pi_Rep (-> tptp.list_P227219501e_name tptp.produc1777919905pi_Rep tptp.produc1777919905pi_Rep)) % 0.44/0.86 (declare-const tptp.perm_n258463228s_name (-> tptp.list_P227219501e_name tptp.produc2052722628s_name tptp.produc2052722628s_name)) % 0.44/0.86 (declare-const tptp.perm_n1211707594Res_pi (-> tptp.list_P227219501e_name tptp.produc992857746Res_pi tptp.produc992857746Res_pi)) % 0.44/0.86 (declare-const tptp.cons_l798145763e_name (-> tptp.list_P227219501e_name tptp.list_l1406151091e_name tptp.list_l1406151091e_name)) % 0.44/0.86 (declare-const tptp.pxQ tptp.pi) % 0.44/0.86 (declare-const tptp.par (-> tptp.pi tptp.pi tptp.pi)) % 0.44/0.86 (declare-const tptp.late_r347633188eR_Rep (-> tptp.late_freeRes tptp.pi tptp.late_residual_Rep)) % 0.44/0.86 (define tptp.fresh_name_name () (let ((_let_1 (@var "B2" tptp.name))) (let ((_let_2 (@var "A2" tptp.name))) (lambda (@list _let_2 _let_1) (not (= _let_2 _let_1)))))) % 0.44/0.86 (define tptp.strong743114133lation () (let ((_let_1 (@var "Rel2" tptp.set_Pr1834926343_pi_pi))) (let ((_let_2 (@var "Q6" 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 "Q5" tptp.pi))) (let ((_let_10 (_ tptp.late_transitions _let_9))) (let ((_let_11 (@var "X3" tptp.name))) (let ((_let_12 (@var "A2" 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))))))))))))))))))))) % 0.44/0.86 (define @t1 () (_ (_ tptp.late_OutputR tptp.b) tptp.x)) % 0.44/0.86 (define @t2 () (_ (_ tptp.late_FreeR @t1) tptp.q_a)) % 0.44/0.86 (define @t3 () (_ tptp.late_transitions tptp.q)) % 0.44/0.86 (define @t4 () (_ @t3 @t2)) % 0.44/0.86 (define @t5 () (_ tptp.late_BoundOutputS tptp.aa)) % 0.44/0.86 (define @t6 () (@var "X" tptp.late_subject)) % 0.44/0.86 (define @t7 () (@var "B" tptp.name)) % 0.44/0.86 (define @t8 () (@var "A" tptp.name)) % 0.44/0.86 (define @t9 () (_ tptp.produc1570949143e_name @t8)) % 0.44/0.86 (define @t10 () (_ @t9 @t7)) % 0.44/0.86 (define @t11 () (_ tptp.cons_P1213805021e_name @t10)) % 0.44/0.86 (define @t12 () (_ @t11 tptp.nil_Pr743626285e_name)) % 0.44/0.86 (define @t13 () (_ tptp.perm_n1559866809ubject @t12)) % 0.44/0.86 (define @t14 () (_ @t13 @t6)) % 0.44/0.86 (define @t15 () (@list @t8 @t7 @t6)) % 0.44/0.86 (define @t16 () (@var "X" tptp.late_freeRes)) % 0.44/0.86 (define @t17 () (_ tptp.perm_n336613537reeRes @t12)) % 0.44/0.86 (define @t18 () (_ @t17 @t16)) % 0.44/0.86 (define @t19 () (@list @t8 @t7 @t16)) % 0.44/0.86 (define @t20 () (@var "X" tptp.pi_Rep)) % 0.44/0.86 (define @t21 () (_ tptp.perm_name_pi_Rep @t12)) % 0.44/0.86 (define @t22 () (_ @t21 @t20)) % 0.44/0.86 (define @t23 () (@list @t8 @t7 @t20)) % 0.44/0.86 (define @t24 () (@var "X" tptp.name)) % 0.44/0.86 (define @t25 () (_ tptp.perm_name_name @t12)) % 0.44/0.86 (define @t26 () (_ @t25 @t24)) % 0.44/0.86 (define @t27 () (@list @t8 @t7 @t24)) % 0.44/0.86 (define @t28 () (@var "X" tptp.pi)) % 0.44/0.86 (define @t29 () (_ tptp.perm_name_pi @t12)) % 0.44/0.86 (define @t30 () (_ @t29 @t28)) % 0.44/0.86 (define @t31 () (@list @t8 @t7 @t28)) % 0.44/0.86 (define @t32 () (_ (_ tptp.cons_P1213805021e_name (_ @t9 @t8)) tptp.nil_Pr743626285e_name)) % 0.44/0.86 (define @t33 () (_ (_ tptp.cons_P1213805021e_name (_ (_ tptp.produc1570949143e_name @t7) @t8)) tptp.nil_Pr743626285e_name)) % 0.44/0.86 (define @t34 () (_ (_ tptp.perm_n1559866809ubject @t33) @t6)) % 0.44/0.86 (define @t35 () (_ (_ tptp.perm_n336613537reeRes @t33) @t16)) % 0.44/0.86 (define @t36 () (_ (_ tptp.perm_name_pi_Rep @t33) @t20)) % 0.44/0.86 (define @t37 () (_ (_ tptp.perm_name_name @t33) @t24)) % 0.44/0.86 (define @t38 () (_ (_ tptp.perm_name_pi @t33) @t28)) % 0.44/0.86 (define @t39 () (@list @t6)) % 0.44/0.86 (define @t40 () (@list @t16)) % 0.44/0.86 (define @t41 () (_ tptp.perm_name_pi_Rep tptp.nil_Pr743626285e_name)) % 0.44/0.86 (define @t42 () (@list @t24)) % 0.44/0.86 (define @t43 () (@list @t28)) % 0.44/0.86 (define @t44 () (@var "X2" tptp.late_residual)) % 0.44/0.86 (define @t45 () (@var "Pi" tptp.list_P227219501e_name)) % 0.44/0.86 (define @t46 () (_ tptp.perm_n414416632sidual @t45)) % 0.44/0.86 (define @t47 () (_ @t46 @t44)) % 0.44/0.86 (define @t48 () (@var "X1" tptp.pi)) % 0.44/0.86 (define @t49 () (_ tptp.perm_name_pi @t45)) % 0.44/0.86 (define @t50 () (_ @t49 @t48)) % 0.44/0.86 (define @t51 () (_ (_ tptp.late_transitions @t50) @t47)) % 0.44/0.86 (define @t52 () (_ (_ tptp.late_transitions @t48) @t44)) % 0.44/0.86 (define @t53 () (@list @t48 @t44 @t45)) % 0.44/0.86 (define @t54 () (forall @t53 (=> @t52 @t51))) % 0.44/0.86 (define @t55 () (_ tptp.fresh_name_pi tptp.z)) % 0.44/0.86 (define @t56 () (@var "Y1" tptp.name)) % 0.44/0.86 (define @t57 () (@var "X1" tptp.name)) % 0.44/0.86 (define @t58 () (= @t57 @t56)) % 0.44/0.86 (define @t59 () (@var "Y2" tptp.name)) % 0.44/0.86 (define @t60 () (@var "X2" tptp.name)) % 0.44/0.86 (define @t61 () (= @t60 @t59)) % 0.44/0.86 (define @t62 () (_ (_ tptp.late_OutputR @t60) @t57)) % 0.44/0.86 (define @t63 () (@var "Y12" tptp.name)) % 0.44/0.86 (define @t64 () (@var "X12" tptp.name)) % 0.44/0.86 (define @t65 () (@var "Y11" tptp.name)) % 0.44/0.86 (define @t66 () (@var "X11" tptp.name)) % 0.44/0.86 (define @t67 () (_ (_ tptp.late_OutputR @t66) @t64)) % 0.44/0.86 (define @t68 () (_ tptp.fresh_name_pi tptp.y)) % 0.44/0.86 (define @t69 () (@var "Residual_Rep" tptp.late_residual_Rep)) % 0.44/0.86 (define @t70 () (@var "Subject_Rep" tptp.late_subject_Rep)) % 0.44/0.86 (define @t71 () (@var "FreeRes_Rep" tptp.late_freeRes_Rep)) % 0.44/0.86 (define @t72 () (@var "Pi_Rep" tptp.pi_Rep)) % 0.44/0.86 (define @t73 () (_ tptp.perm_name_name @t45)) % 0.44/0.86 (define @t74 () (_ @t73 @t57)) % 0.44/0.86 (define @t75 () (_ tptp.perm_n336613537reeRes @t45)) % 0.44/0.86 (define @t76 () (_ tptp.late_BoundOutputS @t57)) % 0.44/0.86 (define @t77 () (_ tptp.perm_n1559866809ubject @t45)) % 0.44/0.86 (define @t78 () (@list @t45 @t57)) % 0.44/0.86 (define @t79 () (@list @t57 @t56)) % 0.44/0.86 (define @t80 () (_ tptp.late_BoundOutputS @t60)) % 0.44/0.86 (define @t81 () (@var "X2" tptp.late_freeRes)) % 0.44/0.86 (define @t82 () (_ (_ tptp.late_FreeR @t81) @t48)) % 0.44/0.86 (define @t83 () (_ tptp.fresh_name_pi_Rep @t8)) % 0.44/0.86 (define @t84 () (_ @t83 @t20)) % 0.44/0.86 (define @t85 () (_ tptp.fresh_717452603ubject @t8)) % 0.44/0.86 (define @t86 () (_ @t85 @t6)) % 0.44/0.86 (define @t87 () (_ tptp.fresh_1641682979reeRes @t8)) % 0.44/0.86 (define @t88 () (_ @t87 @t16)) % 0.44/0.86 (define @t89 () (_ tptp.fresh_name_name @t8)) % 0.44/0.86 (define @t90 () (_ @t89 @t24)) % 0.44/0.86 (define @t91 () (_ tptp.fresh_name_pi @t7)) % 0.44/0.86 (define @t92 () (_ tptp.fresh_name_pi @t8)) % 0.44/0.86 (define @t93 () (_ @t92 @t28)) % 0.44/0.86 (define @t94 () (@var "X" (-> tptp.name tptp.noption_pi))) % 0.44/0.86 (define @t95 () (_ (_ tptp.perm_n1667196784ion_pi @t12) @t94)) % 0.44/0.86 (define @t96 () (_ tptp.fresh_543891186ion_pi @t8)) % 0.44/0.86 (define @t97 () (_ @t96 @t94)) % 0.44/0.86 (define @t98 () (_ (_ tptp.res tptp.x) tptp.q)) % 0.44/0.86 (define @t99 () (_ tptp.perm_name_pi_Rep @t45)) % 0.44/0.86 (define @t100 () (_ @t99 @t20)) % 0.44/0.86 (define @t101 () (_ (_ tptp.fresh_922791155e_name @t8) @t45)) % 0.44/0.86 (define @t102 () (_ @t77 @t6)) % 0.44/0.86 (define @t103 () (_ @t75 @t16)) % 0.44/0.86 (define @t104 () (_ @t73 @t24)) % 0.44/0.86 (define @t105 () (_ @t49 @t28)) % 0.44/0.86 (define @t106 () (_ (_ tptp.perm_n1667196784ion_pi @t45) @t94)) % 0.44/0.86 (define @t107 () (@var "C" tptp.name)) % 0.44/0.86 (define @t108 () (@list @t107)) % 0.44/0.86 (define @t109 () (_ @t73 @t8)) % 0.44/0.86 (define @t110 () (_ (_ tptp.fresh_name_pi_Rep @t109) @t100)) % 0.44/0.86 (define @t111 () (_ tptp.perm_name_o @t45)) % 0.44/0.86 (define @t112 () (@list @t45 @t8 @t20)) % 0.44/0.86 (define @t113 () (_ (_ tptp.fresh_717452603ubject @t109) @t102)) % 0.44/0.86 (define @t114 () (@list @t45 @t8 @t6)) % 0.44/0.86 (define @t115 () (_ (_ tptp.fresh_1641682979reeRes @t109) @t103)) % 0.44/0.86 (define @t116 () (@list @t45 @t8 @t16)) % 0.44/0.86 (define @t117 () (_ (_ tptp.fresh_name_name @t109) @t104)) % 0.44/0.86 (define @t118 () (@list @t45 @t8 @t24)) % 0.44/0.86 (define @t119 () (_ (_ tptp.fresh_name_pi @t109) @t105)) % 0.44/0.86 (define @t120 () (@list @t45 @t8 @t28)) % 0.44/0.86 (define @t121 () (_ (_ tptp.fresh_543891186ion_pi @t109) @t106)) % 0.44/0.86 (define @t122 () (@list @t45 @t8 @t94)) % 0.44/0.86 (define @t123 () (@var "A" tptp.product_prod_pi_pi)) % 0.44/0.86 (define @t124 () (@var "P" (-> tptp.product_prod_pi_pi Bool))) % 0.44/0.86 (define @t125 () (@var "A3" tptp.set_Pr1834926343_pi_pi)) % 0.44/0.86 (define @t126 () (@var "X3" tptp.product_prod_pi_pi)) % 0.44/0.86 (define @t127 () (@var "Y" tptp.late_freeRes)) % 0.44/0.86 (define @t128 () (@var "X122" tptp.name)) % 0.44/0.86 (define @t129 () (@var "X112" tptp.name)) % 0.44/0.86 (define @t130 () (@var "FreeRes" tptp.late_freeRes)) % 0.44/0.86 (define @t131 () (@var "P" (-> tptp.late_freeRes Bool))) % 0.44/0.86 (define @t132 () (@var "Name2" tptp.name)) % 0.44/0.86 (define @t133 () (@var "Name1" tptp.name)) % 0.44/0.86 (define @t134 () (@var "Name22" tptp.name)) % 0.44/0.86 (define @t135 () (@var "Name12" tptp.name)) % 0.44/0.86 (define @t136 () (@var "P2" tptp.pi)) % 0.44/0.86 (define @t137 () (@var "Y" tptp.name)) % 0.44/0.86 (define @t138 () (_ tptp.fresh_name_pi @t137)) % 0.44/0.86 (define @t139 () (_ @t138 @t136)) % 0.44/0.86 (define @t140 () (@var "P" tptp.pi)) % 0.44/0.86 (define @t141 () (_ @t138 @t140)) % 0.44/0.86 (define @t142 () (@var "Alpha" tptp.late_freeRes)) % 0.44/0.86 (define @t143 () (_ tptp.late_FreeR @t142)) % 0.44/0.86 (define @t144 () (_ @t143 @t136)) % 0.44/0.86 (define @t145 () (_ tptp.late_transitions @t140)) % 0.44/0.86 (define @t146 () (_ @t145 @t144)) % 0.44/0.86 (define @t147 () (@list @t140 @t142 @t136 @t137)) % 0.44/0.86 (define @t148 () (@list @t8 @t7)) % 0.44/0.86 (define @t149 () (@var "C2" tptp.name)) % 0.44/0.86 (define @t150 () (= @t7 @t149)) % 0.44/0.86 (define @t151 () (not @t150)) % 0.44/0.86 (define @t152 () (= @t8 @t149)) % 0.44/0.86 (define @t153 () (not @t152)) % 0.44/0.86 (define @t154 () (@list @t8 @t149 @t7)) % 0.44/0.86 (define @t155 () (_ tptp.fresh_name_pi_Rep @t149)) % 0.44/0.86 (define @t156 () (not (= @t149 @t8))) % 0.44/0.86 (define @t157 () (_ tptp.fresh_717452603ubject @t149)) % 0.44/0.86 (define @t158 () (_ tptp.fresh_1641682979reeRes @t149)) % 0.44/0.86 (define @t159 () (_ tptp.fresh_name_name @t149)) % 0.44/0.86 (define @t160 () (_ tptp.fresh_name_pi @t149)) % 0.44/0.86 (define @t161 () (_ tptp.fresh_543891186ion_pi @t149)) % 0.44/0.86 (define @t162 () (@var "Pi1" tptp.list_P227219501e_name)) % 0.44/0.86 (define @t163 () (_ tptp.perm_n1559866809ubject @t162)) % 0.44/0.86 (define @t164 () (_ @t163 @t6)) % 0.44/0.86 (define @t165 () (@var "Pi2" tptp.list_P227219501e_name)) % 0.44/0.86 (define @t166 () (_ (_ tptp.perm_n1160739829e_name @t162) @t165)) % 0.44/0.86 (define @t167 () (_ tptp.perm_n1559866809ubject @t165)) % 0.44/0.86 (define @t168 () (_ @t167 @t6)) % 0.44/0.86 (define @t169 () (_ tptp.perm_n336613537reeRes @t162)) % 0.44/0.86 (define @t170 () (_ @t169 @t16)) % 0.44/0.86 (define @t171 () (_ tptp.perm_n336613537reeRes @t165)) % 0.44/0.86 (define @t172 () (_ @t171 @t16)) % 0.44/0.86 (define @t173 () (_ tptp.perm_name_pi_Rep @t162)) % 0.44/0.86 (define @t174 () (_ @t173 @t20)) % 0.44/0.86 (define @t175 () (_ tptp.perm_name_pi_Rep @t165)) % 0.44/0.86 (define @t176 () (_ @t175 @t20)) % 0.44/0.86 (define @t177 () (_ tptp.perm_name_name @t162)) % 0.44/0.86 (define @t178 () (_ @t177 @t24)) % 0.44/0.86 (define @t179 () (_ tptp.perm_name_name @t165)) % 0.44/0.86 (define @t180 () (_ @t179 @t24)) % 0.44/0.86 (define @t181 () (_ tptp.perm_name_pi @t162)) % 0.44/0.86 (define @t182 () (_ @t181 @t28)) % 0.44/0.86 (define @t183 () (_ tptp.perm_name_pi @t165)) % 0.44/0.86 (define @t184 () (_ @t183 @t28)) % 0.44/0.86 (define @t185 () (_ (_ tptp.perm_n1160739829e_name @t165) @t162)) % 0.44/0.86 (define @t186 () (@var "Y" tptp.late_subject)) % 0.44/0.86 (define @t187 () (= @t6 @t186)) % 0.44/0.86 (define @t188 () (_ @t77 @t186)) % 0.44/0.86 (define @t189 () (= @t102 @t188)) % 0.44/0.86 (define @t190 () (@list @t45 @t6 @t186)) % 0.44/0.86 (define @t191 () (= @t16 @t127)) % 0.44/0.86 (define @t192 () (_ @t75 @t127)) % 0.44/0.86 (define @t193 () (= @t103 @t192)) % 0.44/0.86 (define @t194 () (@list @t45 @t16 @t127)) % 0.44/0.86 (define @t195 () (@var "Y" tptp.pi_Rep)) % 0.44/0.86 (define @t196 () (= @t20 @t195)) % 0.44/0.86 (define @t197 () (_ @t99 @t195)) % 0.44/0.86 (define @t198 () (= @t100 @t197)) % 0.44/0.86 (define @t199 () (@list @t45 @t20 @t195)) % 0.44/0.86 (define @t200 () (= @t24 @t137)) % 0.44/0.86 (define @t201 () (_ @t73 @t137)) % 0.44/0.86 (define @t202 () (= @t104 @t201)) % 0.44/0.86 (define @t203 () (@list @t45 @t24 @t137)) % 0.44/0.86 (define @t204 () (@var "Y" tptp.pi)) % 0.44/0.86 (define @t205 () (= @t28 @t204)) % 0.44/0.86 (define @t206 () (_ @t49 @t204)) % 0.44/0.86 (define @t207 () (= @t105 @t206)) % 0.44/0.86 (define @t208 () (@list @t45 @t28 @t204)) % 0.44/0.86 (define @t209 () (@var "F" (-> tptp.late_subject tptp.late_subject))) % 0.44/0.86 (define @t210 () (@var "F" (-> tptp.late_freeRes tptp.late_subject))) % 0.44/0.86 (define @t211 () (@var "F" (-> tptp.pi_Rep tptp.late_subject))) % 0.44/0.86 (define @t212 () (@var "F" (-> tptp.name tptp.late_subject))) % 0.44/0.86 (define @t213 () (@var "F" (-> tptp.pi tptp.late_subject))) % 0.44/0.86 (define @t214 () (@var "F" (-> tptp.late_subject tptp.late_freeRes))) % 0.44/0.86 (define @t215 () (@var "F" (-> tptp.late_freeRes tptp.late_freeRes))) % 0.44/0.86 (define @t216 () (@var "F" (-> tptp.pi_Rep tptp.late_freeRes))) % 0.44/0.86 (define @t217 () (@var "F" (-> tptp.name tptp.late_freeRes))) % 0.44/0.86 (define @t218 () (@var "F" (-> tptp.pi tptp.late_freeRes))) % 0.44/0.86 (define @t219 () (@var "X4" tptp.set_Pr1834926343_pi_pi)) % 0.44/0.86 (define @t220 () (@var "X" tptp.product_prod_pi_pi)) % 0.44/0.86 (define @t221 () (@var "X4" tptp.set_Late_subject)) % 0.44/0.86 (define @t222 () (@var "X4" tptp.set_Late_freeRes)) % 0.44/0.86 (define @t223 () (@var "X4" tptp.set_pi_Rep)) % 0.44/0.86 (define @t224 () (@var "X4" tptp.set_name)) % 0.44/0.86 (define @t225 () (@var "X4" tptp.set_pi)) % 0.44/0.86 (define @t226 () (@var "Y1" tptp.pi)) % 0.44/0.86 (define @t227 () (= @t48 @t226)) % 0.44/0.86 (define @t228 () (@var "Y2" tptp.late_freeRes)) % 0.44/0.86 (define @t229 () (_ @t85 @t186)) % 0.44/0.86 (define @t230 () (_ (_ tptp.produc1465345179ubject @t6) @t186)) % 0.44/0.86 (define @t231 () (_ @t87 @t127)) % 0.44/0.86 (define @t232 () (_ (_ tptp.produc242091907reeRes @t6) @t127)) % 0.44/0.86 (define @t233 () (_ @t89 @t137)) % 0.44/0.86 (define @t234 () (_ (_ tptp.produc1647375838t_name @t6) @t137)) % 0.44/0.86 (define @t235 () (_ @t92 @t204)) % 0.44/0.86 (define @t236 () (_ (_ tptp.produc324947500ect_pi @t6) @t204)) % 0.44/0.86 (define @t237 () (_ (_ tptp.produc320590723ubject @t16) @t186)) % 0.44/0.86 (define @t238 () (_ (_ tptp.produc1244821099reeRes @t16) @t127)) % 0.44/0.86 (define @t239 () (_ (_ tptp.produc1701355766s_name @t16) @t137)) % 0.44/0.86 (define @t240 () (_ (_ tptp.produc1177552196Res_pi @t16) @t204)) % 0.44/0.86 (define @t241 () (@var "Y22" tptp.list_P227219501e_name)) % 0.44/0.86 (define @t242 () (@var "X22" tptp.list_P227219501e_name)) % 0.44/0.86 (define @t243 () (@var "Y21" tptp.produc367475239e_name)) % 0.44/0.86 (define @t244 () (@var "X21" tptp.produc367475239e_name)) % 0.44/0.86 (define @t245 () (_ (_ tptp.cons_P1213805021e_name @t244) @t242)) % 0.44/0.86 (define @t246 () (@var "B3" tptp.name)) % 0.44/0.86 (define @t247 () (= @t7 @t246)) % 0.44/0.86 (define @t248 () (@var "A4" tptp.name)) % 0.44/0.86 (define @t249 () (= @t8 @t248)) % 0.44/0.86 (define @t250 () (= @t10 (_ (_ tptp.produc1570949143e_name @t248) @t246))) % 0.44/0.86 (define @t251 () (@list @t8 @t7 @t248 @t246)) % 0.44/0.86 (define @t252 () (@var "B3" tptp.pi)) % 0.44/0.86 (define @t253 () (@var "B" tptp.pi)) % 0.44/0.86 (define @t254 () (= @t253 @t252)) % 0.44/0.86 (define @t255 () (@var "A4" tptp.pi)) % 0.44/0.86 (define @t256 () (@var "A" tptp.pi)) % 0.44/0.86 (define @t257 () (= @t256 @t255)) % 0.44/0.86 (define @t258 () (= (_ (_ tptp.product_Pair_pi_pi @t256) @t253) (_ (_ tptp.product_Pair_pi_pi @t255) @t252))) % 0.44/0.86 (define @t259 () (@list @t256 @t253 @t255 @t252)) % 0.44/0.86 (define @t260 () (@var "Y2" tptp.pi)) % 0.44/0.86 (define @t261 () (@var "X2" tptp.pi)) % 0.44/0.86 (define @t262 () (= @t261 @t260)) % 0.44/0.86 (define @t263 () (@var "Xs" tptp.list_Late_subject)) % 0.44/0.86 (define @t264 () (_ tptp.fresh_838462539ubject @t8)) % 0.44/0.86 (define @t265 () (_ (_ tptp.cons_Late_subject @t6) @t263)) % 0.44/0.86 (define @t266 () (@var "Xs" tptp.list_Late_freeRes)) % 0.44/0.86 (define @t267 () (_ tptp.fresh_1981651763reeRes @t8)) % 0.44/0.86 (define @t268 () (_ (_ tptp.cons_Late_freeRes @t16) @t266)) % 0.44/0.86 (define @t269 () (@var "Xs" tptp.list_name)) % 0.44/0.86 (define @t270 () (_ tptp.fresh_name_list_name @t8)) % 0.44/0.86 (define @t271 () (_ (_ tptp.cons_name @t24) @t269)) % 0.44/0.86 (define @t272 () (@var "Xs" tptp.list_pi)) % 0.44/0.86 (define @t273 () (_ tptp.fresh_name_list_pi @t8)) % 0.44/0.86 (define @t274 () (_ (_ tptp.cons_pi @t28) @t272)) % 0.44/0.86 (define @t275 () (@var "Xs" tptp.list_name_noption_pi)) % 0.44/0.86 (define @t276 () (_ tptp.fresh_1135477378ion_pi @t8)) % 0.44/0.86 (define @t277 () (_ tptp.produc1570949143e_name @t24)) % 0.44/0.86 (define @t278 () (_ @t277 @t137)) % 0.44/0.86 (define @t279 () (_ (_ tptp.fresh_441084397e_name @t8) @t278)) % 0.44/0.86 (define @t280 () (@list @t8 @t24 @t137)) % 0.44/0.86 (define @t281 () (_ (_ tptp.fresh_1627595501_pi_pi @t8) (_ (_ tptp.product_Pair_pi_pi @t28) @t204))) % 0.44/0.86 (define @t282 () (@list @t8 @t28 @t204)) % 0.44/0.86 (define @t283 () (_ tptp.perm_n1812647369ubject @t45)) % 0.44/0.86 (define @t284 () (_ tptp.perm_n808352945reeRes @t45)) % 0.44/0.86 (define @t285 () (@var "Xs" tptp.list_pi_Rep)) % 0.44/0.86 (define @t286 () (_ tptp.perm_n729617823pi_Rep @t45)) % 0.44/0.86 (define @t287 () (_ tptp.perm_name_list_name @t45)) % 0.44/0.86 (define @t288 () (_ tptp.perm_name_list_pi @t45)) % 0.44/0.86 (define @t289 () (@list @t8)) % 0.44/0.86 (define @t290 () (_ @t92 @t48)) % 0.44/0.86 (define @t291 () (_ @t89 @t57)) % 0.44/0.86 (define @t292 () (@list @t8 @t57)) % 0.44/0.86 (define @t293 () (_ @t49 @t261)) % 0.44/0.86 (define @t294 () (_ (_ tptp.res @t57) @t261)) % 0.44/0.86 (define @t295 () (@var "X32" tptp.late_subject)) % 0.44/0.86 (define @t296 () (_ tptp.res @t137)) % 0.44/0.86 (define @t297 () (_ @t296 @t136)) % 0.44/0.86 (define @t298 () (@var "A" tptp.late_subject)) % 0.44/0.86 (define @t299 () (_ tptp.late_BoundR @t298)) % 0.44/0.86 (define @t300 () (_ @t299 @t24)) % 0.44/0.86 (define @t301 () (_ tptp.late_transitions (_ @t296 @t140))) % 0.44/0.86 (define @t302 () (_ @t301 (_ @t300 @t297))) % 0.44/0.86 (define @t303 () (not (= @t137 @t24))) % 0.44/0.86 (define @t304 () (_ (_ tptp.fresh_717452603ubject @t137) @t298)) % 0.44/0.86 (define @t305 () (_ @t145 (_ @t300 @t136))) % 0.44/0.86 (define @t306 () (@list @t140 @t298 @t24 @t136 @t137)) % 0.44/0.86 (define @t307 () (_ (_ tptp.fresh_717452603ubject @t24) @t298)) % 0.44/0.86 (define @t308 () (_ tptp.fresh_name_pi @t24)) % 0.44/0.86 (define @t309 () (_ @t308 @t140)) % 0.44/0.86 (define @t310 () (@var "XP" tptp.pi)) % 0.44/0.86 (define @t311 () (@var "F2" (-> tptp.pi Bool))) % 0.44/0.86 (define @t312 () (@var "P3" tptp.pi)) % 0.44/0.86 (define @t313 () (_ tptp.res @t24)) % 0.44/0.86 (define @t314 () (_ @t145 (_ @t143 @t312))) % 0.44/0.86 (define @t315 () (@list @t312)) % 0.44/0.86 (define @t316 () (_ @t313 @t140)) % 0.44/0.86 (define @t317 () (_ tptp.late_transitions @t316)) % 0.44/0.86 (define @t318 () (@var "Alpha2" tptp.late_freeRes)) % 0.44/0.86 (define @t319 () (@var "Y3" tptp.name)) % 0.44/0.86 (define @t320 () (_ tptp.late_FreeR @t318)) % 0.44/0.86 (define @t321 () (@var "P4" tptp.pi)) % 0.44/0.86 (define @t322 () (_ tptp.late_transitions @t321)) % 0.44/0.86 (define @t323 () (=> (_ @t322 (_ @t320 @t312)) (not (_ (_ tptp.fresh_1641682979reeRes @t319) @t318)))) % 0.44/0.86 (define @t324 () (_ tptp.res @t319)) % 0.44/0.86 (define @t325 () (_ @t324 @t312)) % 0.44/0.86 (define @t326 () (_ @t320 @t325)) % 0.44/0.86 (define @t327 () (_ @t324 @t321)) % 0.44/0.86 (define @t328 () (= @t316 @t327)) % 0.44/0.86 (define @t329 () (@list @t321 @t318 @t312 @t319)) % 0.44/0.86 (define @t330 () (_ (_ tptp.fresh_1641682979reeRes @t137) @t142)) % 0.44/0.86 (define @t331 () (_ (_ tptp.res @t8) @t140)) % 0.44/0.86 (define @t332 () (@var "Pi3" tptp.pi)) % 0.44/0.86 (define @t333 () (@var "FreeRes2" tptp.late_freeRes)) % 0.44/0.86 (define @t334 () (@var "Pi" tptp.pi)) % 0.44/0.86 (define @t335 () (@var "Name" tptp.name)) % 0.44/0.86 (define @t336 () (@var "Subject" tptp.late_subject)) % 0.44/0.86 (define @t337 () (@var "Residual" tptp.late_residual)) % 0.44/0.86 (define @t338 () (@var "P" (-> tptp.late_residual Bool))) % 0.44/0.86 (define @t339 () (@var "Pi4" tptp.pi)) % 0.44/0.86 (define @t340 () (@var "FreeRes3" tptp.late_freeRes)) % 0.44/0.86 (define @t341 () (_ (_ tptp.late_FreeR @t340) @t339)) % 0.44/0.86 (define @t342 () (@var "Name3" tptp.name)) % 0.44/0.86 (define @t343 () (@var "Subject2" tptp.late_subject)) % 0.44/0.86 (define @t344 () (_ (_ (_ tptp.late_BoundR @t343) @t342) @t339)) % 0.44/0.86 (define @t345 () (@var "Rs" tptp.late_residual)) % 0.44/0.86 (define @t346 () (@var "A5" tptp.late_subject)) % 0.44/0.86 (define @t347 () (@var "X5" tptp.name)) % 0.44/0.86 (define @t348 () (not (_ (_ tptp.fresh_717452603ubject @t347) @t346))) % 0.44/0.86 (define @t349 () (_ tptp.fresh_name_pi @t347)) % 0.44/0.86 (define @t350 () (_ @t349 @t321)) % 0.44/0.86 (define @t351 () (_ tptp.late_BoundR @t346)) % 0.44/0.86 (define @t352 () (_ @t351 @t347)) % 0.44/0.86 (define @t353 () (_ @t322 (_ @t352 @t312))) % 0.44/0.86 (define @t354 () (=> @t353 (=> (_ (_ tptp.fresh_717452603ubject @t319) @t346) (=> (not (= @t319 @t347)) (=> @t350 @t348))))) % 0.44/0.86 (define @t355 () (_ @t352 @t325)) % 0.44/0.86 (define @t356 () (@list @t321 @t346 @t347 @t312 @t319)) % 0.44/0.86 (define @t357 () (@var "B4" tptp.name)) % 0.44/0.86 (define @t358 () (@var "A5" tptp.name)) % 0.44/0.86 (define @t359 () (=> (_ @t322 (_ (_ tptp.late_FreeR (_ (_ tptp.late_OutputR @t358) @t357)) @t312)) (= @t358 @t357))) % 0.44/0.86 (define @t360 () (_ (_ (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t358)) @t357) @t312)) % 0.44/0.86 (define @t361 () (_ (_ tptp.res @t357) @t321)) % 0.44/0.86 (define @t362 () (@list @t321 @t358 @t357)) % 0.44/0.86 (define @t363 () (@var "Ys" tptp.list_P227219501e_name)) % 0.44/0.86 (define @t364 () (@var "X5" tptp.produc367475239e_name)) % 0.44/0.86 (define @t365 () (_ tptp.cons_P1213805021e_name @t364)) % 0.44/0.86 (define @t366 () (_ @t365 @t363)) % 0.44/0.86 (define @t367 () (@var "P4" (-> tptp.produc367475239e_name tptp.produc367475239e_name Bool))) % 0.44/0.86 (define @t368 () (_ tptp.produc1069608854e_name @t367)) % 0.44/0.86 (define @t369 () (@var "X" tptp.produc1872410278e_name)) % 0.44/0.86 (define @t370 () (@list @t367 @t364 @t363)) % 0.44/0.86 (define @t371 () (@list @t367)) % 0.44/0.86 (define @t372 () (forall @t371 (not (= @t369 (_ @t368 tptp.nil_Pr743626285e_name))))) % 0.44/0.86 (define @t373 () (@list @t369)) % 0.44/0.86 (define @t374 () (@var "Xs2" tptp.list_P227219501e_name)) % 0.44/0.86 (define @t375 () (@var "Y3" tptp.produc367475239e_name)) % 0.44/0.86 (define @t376 () (_ tptp.cons_P1213805021e_name @t375)) % 0.44/0.86 (define @t377 () (_ @t365 (_ @t376 @t374))) % 0.44/0.86 (define @t378 () (_ @t365 tptp.nil_Pr743626285e_name)) % 0.44/0.86 (define @t379 () (_ @t365 @t374)) % 0.44/0.86 (define @t380 () (_ tptp.produc208131031e_name @t379)) % 0.44/0.86 (define @t381 () (@var "X" tptp.produc890461031e_name)) % 0.44/0.86 (define @t382 () (@list @t364 @t374 @t363)) % 0.44/0.86 (define @t383 () (forall (@list @t363) (not (= @t381 (_ (_ tptp.produc208131031e_name tptp.nil_Pr743626285e_name) @t363))))) % 0.44/0.86 (define @t384 () (@list @t381)) % 0.44/0.86 (define @t385 () (_ @t376 @t363)) % 0.44/0.86 (define @t386 () (@list @t364 @t374 @t375 @t363)) % 0.44/0.86 (define @t387 () (@list @t374)) % 0.44/0.86 (define @t388 () (@var "Y4" tptp.name)) % 0.44/0.86 (define @t389 () (_ (_ @t299 @t388) @t136)) % 0.44/0.86 (define @t390 () (@var "X6" tptp.name)) % 0.44/0.86 (define @t391 () (_ (_ tptp.res @t390) @t140)) % 0.44/0.86 (define @t392 () (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t8))) % 0.44/0.86 (define @t393 () (_ tptp.res @t7)) % 0.44/0.86 (define @t394 () (not (= @t8 @t7))) % 0.44/0.86 (define @t395 () (_ tptp.late_FreeR (_ (_ tptp.late_OutputR @t8) @t7))) % 0.44/0.86 (define @t396 () (_ @t145 (_ @t395 @t136))) % 0.44/0.86 (define @t397 () (@var "Z" tptp.late_subject)) % 0.44/0.86 (define @t398 () (@var "P" (-> tptp.late_subject tptp.late_residual Bool))) % 0.44/0.86 (define @t399 () (@var "Z2" tptp.late_subject)) % 0.44/0.86 (define @t400 () (_ @t398 @t399)) % 0.44/0.86 (define @t401 () (_ tptp.fresh_717452603ubject @t342)) % 0.44/0.86 (define @t402 () (_ @t401 @t343)) % 0.44/0.86 (define @t403 () (@var "Z" tptp.late_freeRes)) % 0.44/0.86 (define @t404 () (@var "P" (-> tptp.late_freeRes tptp.late_residual Bool))) % 0.44/0.86 (define @t405 () (@var "Z2" tptp.late_freeRes)) % 0.44/0.86 (define @t406 () (_ @t404 @t405)) % 0.44/0.86 (define @t407 () (@var "Z" tptp.name)) % 0.44/0.86 (define @t408 () (@var "P" (-> tptp.name tptp.late_residual Bool))) % 0.44/0.86 (define @t409 () (@var "Z2" tptp.name)) % 0.44/0.86 (define @t410 () (_ @t408 @t409)) % 0.44/0.86 (define @t411 () (@var "Z" tptp.pi)) % 0.44/0.86 (define @t412 () (@var "P" (-> tptp.pi tptp.late_residual Bool))) % 0.44/0.86 (define @t413 () (@var "Z2" tptp.pi)) % 0.44/0.86 (define @t414 () (_ @t412 @t413)) % 0.44/0.86 (define @t415 () (@var "YP" tptp.pi)) % 0.44/0.86 (define @t416 () (@var "F2" (-> tptp.late_subject tptp.pi Bool))) % 0.44/0.86 (define @t417 () (_ @t416 @t298)) % 0.44/0.86 (define @t418 () (_ @t145 (_ @t300 @t312))) % 0.44/0.86 (define @t419 () (_ tptp.perm_name_pi (_ (_ tptp.cons_P1213805021e_name @t278) tptp.nil_Pr743626285e_name))) % 0.44/0.86 (define @t420 () (_ tptp.late_BoundOutputS @t357)) % 0.44/0.86 (define @t421 () (not @t200)) % 0.44/0.86 (define @t422 () (@var "P5" tptp.produc367475239e_name)) % 0.44/0.86 (define @t423 () (@var "Y3" tptp.pi)) % 0.44/0.86 (define @t424 () (@var "X5" tptp.pi)) % 0.44/0.86 (define @t425 () (@var "P5" tptp.product_prod_pi_pi)) % 0.44/0.86 (define @t426 () (@var "P" (-> tptp.produc367475239e_name Bool))) % 0.44/0.86 (define @t427 () (_ (_ tptp.produc1570949143e_name @t358) @t357)) % 0.44/0.86 (define @t428 () (@list @t358 @t357)) % 0.44/0.86 (define @t429 () (forall @t428 (_ @t426 @t427))) % 0.44/0.86 (define @t430 () (@var "B4" tptp.pi)) % 0.44/0.86 (define @t431 () (@var "A5" tptp.pi)) % 0.44/0.86 (define @t432 () (_ (_ tptp.product_Pair_pi_pi @t431) @t430)) % 0.44/0.86 (define @t433 () (@list @t431 @t430)) % 0.44/0.86 (define @t434 () (forall @t433 (_ @t124 @t432))) % 0.44/0.86 (define @t435 () (@var "Y" tptp.produc367475239e_name)) % 0.44/0.86 (define @t436 () (@var "Y" tptp.product_prod_pi_pi)) % 0.44/0.86 (define @t437 () (@var "Prod" tptp.produc367475239e_name)) % 0.44/0.86 (define @t438 () (@var "Prod" tptp.product_prod_pi_pi)) % 0.44/0.86 (define @t439 () (@var "Xs" tptp.list_P227219501e_name)) % 0.44/0.86 (define @t440 () (@var "X" tptp.produc367475239e_name)) % 0.44/0.86 (define @t441 () (_ (_ tptp.cons_P1213805021e_name @t440) @t439)) % 0.44/0.86 (define @t442 () (@var "P" (-> tptp.list_P227219501e_name Bool))) % 0.44/0.86 (define @t443 () (_ @t442 tptp.nil_Pr743626285e_name)) % 0.44/0.86 (define @t444 () (@var "X_1" tptp.list_P227219501e_name)) % 0.44/0.86 (define @t445 () (@list @t444)) % 0.44/0.86 (define @t446 () (@var "C22" tptp.late_subject)) % 0.44/0.86 (define @t447 () (@var "C1" tptp.late_subject)) % 0.44/0.86 (define @t448 () (@var "B" Bool)) % 0.44/0.86 (define @t449 () (_ @t77 (_ (_ (_ tptp.if_Late_subject @t448) @t447) @t446))) % 0.44/0.86 (define @t450 () (_ @t111 @t448)) % 0.44/0.86 (define @t451 () (not @t450)) % 0.44/0.86 (define @t452 () (@var "C22" tptp.late_freeRes)) % 0.44/0.86 (define @t453 () (@var "C1" tptp.late_freeRes)) % 0.44/0.86 (define @t454 () (_ @t75 (_ (_ (_ tptp.if_Late_freeRes @t448) @t453) @t452))) % 0.44/0.86 (define @t455 () (@var "C22" tptp.pi_Rep)) % 0.44/0.86 (define @t456 () (@var "C1" tptp.pi_Rep)) % 0.44/0.86 (define @t457 () (_ @t99 (_ (_ (_ tptp.if_pi_Rep @t448) @t456) @t455))) % 0.44/0.86 (define @t458 () (@var "C22" tptp.name)) % 0.44/0.86 (define @t459 () (@var "C1" tptp.name)) % 0.44/0.86 (define @t460 () (_ @t73 (_ (_ (_ tptp.if_name @t448) @t459) @t458))) % 0.44/0.86 (define @t461 () (@var "C22" tptp.pi)) % 0.44/0.86 (define @t462 () (@var "C1" tptp.pi)) % 0.44/0.86 (define @t463 () (_ @t49 (_ (_ (_ tptp.if_pi @t448) @t462) @t461))) % 0.44/0.86 (define @t464 () (@var "C2" Bool)) % 0.44/0.86 (define @t465 () (_ @t77 (_ (_ (_ tptp.if_Late_subject @t464) @t6) @t186))) % 0.44/0.86 (define @t466 () (not @t464)) % 0.44/0.86 (define @t467 () (_ @t75 (_ (_ (_ tptp.if_Late_freeRes @t464) @t16) @t127))) % 0.44/0.86 (define @t468 () (_ @t99 (_ (_ (_ tptp.if_pi_Rep @t464) @t20) @t195))) % 0.44/0.86 (define @t469 () (_ @t73 (_ (_ (_ tptp.if_name @t464) @t24) @t137))) % 0.44/0.86 (define @t470 () (_ @t49 (_ (_ (_ tptp.if_pi @t464) @t28) @t204))) % 0.44/0.86 (define @t471 () (_ @t160 @t140)) % 0.44/0.86 (define @t472 () (@var "List" tptp.list_P227219501e_name)) % 0.44/0.86 (define @t473 () (@var "X222" tptp.list_P227219501e_name)) % 0.44/0.86 (define @t474 () (@var "X212" tptp.produc367475239e_name)) % 0.44/0.86 (define @t475 () (@var "Y" tptp.list_P227219501e_name)) % 0.44/0.86 (define @t476 () (@var "X23" tptp.list_P227219501e_name)) % 0.44/0.86 (define @t477 () (@var "X13" tptp.produc367475239e_name)) % 0.44/0.86 (define @t478 () (@var "Ys2" tptp.list_P227219501e_name)) % 0.44/0.86 (define @t479 () (@var "Y5" tptp.produc367475239e_name)) % 0.44/0.86 (define @t480 () (@var "Ys3" tptp.list_P227219501e_name)) % 0.44/0.86 (define @t481 () (@var "P" (-> tptp.list_P227219501e_name tptp.list_P227219501e_name Bool))) % 0.44/0.86 (define @t482 () (_ @t481 @t379)) % 0.44/0.86 (define @t483 () (_ @t482 @t385)) % 0.44/0.86 (define @t484 () (_ @t481 @t374)) % 0.44/0.86 (define @t485 () (_ @t481 tptp.nil_Pr743626285e_name)) % 0.44/0.86 (define @t486 () (@var "A1" tptp.list_P227219501e_name)) % 0.44/0.86 (define @t487 () (@var "A0" tptp.list_P227219501e_name)) % 0.44/0.86 (define @t488 () (_ (_ @t481 @t487) @t486)) % 0.44/0.86 (define @t489 () (_ @t482 @t363)) % 0.44/0.86 (define @t490 () (forall @t445 (_ @t485 @t444))) % 0.44/0.86 (define @t491 () (@list @t481 @t487 @t486)) % 0.44/0.86 (define @t492 () (@var "Zs" tptp.list_P227219501e_name)) % 0.44/0.86 (define @t493 () (_ @t376 @t492)) % 0.44/0.86 (define @t494 () (@list @t364)) % 0.44/0.86 (define @t495 () (@var "Xss" tptp.list_l1406151091e_name)) % 0.44/0.86 (define @t496 () (@var "X" tptp.list_l1406151091e_name)) % 0.44/0.86 (define @t497 () (@var "X" tptp.list_P227219501e_name)) % 0.44/0.86 (define @t498 () (@var "A0" (-> tptp.produc367475239e_name tptp.produc367475239e_name Bool))) % 0.44/0.86 (define @t499 () (@var "P" (-> (-> tptp.produc367475239e_name tptp.produc367475239e_name Bool) tptp.list_P227219501e_name Bool))) % 0.44/0.86 (define @t500 () (_ @t499 @t367)) % 0.44/0.86 (define @t501 () (_ tptp.input @t8)) % 0.44/0.86 (define @t502 () (_ (_ @t501 @t24) @t140)) % 0.44/0.86 (define @t503 () (_ tptp.swap_name2 @t10)) % 0.44/0.86 (define @t504 () (_ tptp.late_InputS @t57)) % 0.44/0.86 (define @t505 () (@var "Y22" tptp.pi)) % 0.44/0.86 (define @t506 () (@var "X22" tptp.pi)) % 0.44/0.86 (define @t507 () (@var "Y21" tptp.late_freeRes)) % 0.44/0.86 (define @t508 () (@var "X21" tptp.late_freeRes)) % 0.44/0.86 (define @t509 () (_ (_ tptp.par @t261) @t48)) % 0.44/0.86 (define @t510 () (@var "X32" tptp.name)) % 0.44/0.86 (define @t511 () (_ (_ (_ tptp.input @t510) @t57) @t261)) % 0.44/0.86 (define @t512 () (@var "S" tptp.pi)) % 0.44/0.86 (define @t513 () (@var "R" tptp.pi)) % 0.44/0.86 (define @t514 () (_ tptp.par @t513)) % 0.44/0.86 (define @t515 () (_ @t514 (_ @t296 @t512))) % 0.44/0.86 (define @t516 () (_ tptp.res @t407)) % 0.44/0.86 (define @t517 () (_ @t514 @t512)) % 0.44/0.86 (define @t518 () (_ @t138 @t513)) % 0.44/0.86 (define @t519 () (@var "Pi22" tptp.pi)) % 0.44/0.86 (define @t520 () (@var "Pi12" tptp.pi)) % 0.44/0.86 (define @t521 () (_ (_ (_ tptp.input @t135) @t134) @t334)) % 0.44/0.86 (define @t522 () (@var "Name4" tptp.name)) % 0.44/0.86 (define @t523 () (_ (_ tptp.res @t522) @t332)) % 0.44/0.86 (define @t524 () (@var "Pi2" tptp.pi)) % 0.44/0.86 (define @t525 () (@var "Pi1" tptp.pi)) % 0.44/0.86 (define @t526 () (_ tptp.late_InputS @t8)) % 0.44/0.86 (define @t527 () (_ (_ tptp.late_BoundR @t526) @t24)) % 0.44/0.86 (define @t528 () (_ tptp.late_transitions @t502)) % 0.44/0.86 (define @t529 () (_ @t528 (_ @t527 @t140))) % 0.44/0.86 (define @t530 () (not (= @t24 @t8))) % 0.44/0.86 (define @t531 () (@var "P" (-> tptp.late_subject Bool))) % 0.44/0.86 (define @t532 () (@list @t342)) % 0.44/0.86 (define @t533 () (@var "X23" tptp.name)) % 0.44/0.86 (define @t534 () (@var "X13" tptp.name)) % 0.44/0.86 (define @t535 () (@var "Q2" tptp.pi)) % 0.44/0.86 (define @t536 () (_ tptp.par @t140)) % 0.44/0.86 (define @t537 () (_ @t536 @t535)) % 0.44/0.86 (define @t538 () (@var "Q" tptp.pi)) % 0.44/0.86 (define @t539 () (_ @t536 @t538)) % 0.44/0.86 (define @t540 () (_ tptp.late_transitions @t539)) % 0.44/0.86 (define @t541 () (_ tptp.late_transitions @t538)) % 0.44/0.86 (define @t542 () (_ @t541 (_ @t143 @t535))) % 0.44/0.86 (define @t543 () (_ tptp.par @t136)) % 0.44/0.86 (define @t544 () (_ @t543 @t538)) % 0.44/0.86 (define @t545 () (_ @t503 @t149)) % 0.44/0.86 (define @t546 () (@var "B" tptp.late_subject)) % 0.44/0.86 (define @t547 () (_ (_ tptp.late_BoundR @t546) @t137)) % 0.44/0.86 (define @t548 () (_ @t547 @t136)) % 0.44/0.86 (define @t549 () (_ @t540 (_ @t300 @t544))) % 0.44/0.86 (define @t550 () (_ @t308 @t538)) % 0.44/0.86 (define @t551 () (@list @t140 @t298 @t24 @t136 @t538)) % 0.44/0.86 (define @t552 () (_ @t540 (_ @t300 @t537))) % 0.44/0.86 (define @t553 () (_ @t541 (_ @t300 @t535))) % 0.44/0.86 (define @t554 () (@list @t538 @t298 @t24 @t535 @t140)) % 0.44/0.86 (define @t555 () (@var "PQ" tptp.pi)) % 0.44/0.86 (define @t556 () (@var "Prop" (-> tptp.pi Bool))) % 0.44/0.86 (define @t557 () (@var "Q3" tptp.pi)) % 0.44/0.86 (define @t558 () (_ tptp.par @t312)) % 0.44/0.86 (define @t559 () (@var "Q4" tptp.pi)) % 0.44/0.86 (define @t560 () (=> @t350 (=> (_ @t349 @t559) @t348))) % 0.44/0.86 (define @t561 () (_ tptp.par @t321)) % 0.44/0.86 (define @t562 () (= @t539 (_ @t561 @t559))) % 0.44/0.86 (define @t563 () (_ tptp.late_transitions (_ @t313 (_ (_ @t501 @t137) @t140)))) % 0.44/0.86 (define @t564 () (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t7))) % 0.44/0.86 (define @t565 () (@var "Prop" (-> tptp.late_subject tptp.name tptp.pi Bool))) % 0.44/0.87 (define @t566 () (_ @t419 @t140)) % 0.44/0.87 (define @t567 () (not (= @t137 @t8))) % 0.44/0.87 (define @t568 () (_ (_ tptp.subs @t136) @t24)) % 0.44/0.87 (define @t569 () (_ tptp.late_FreeR tptp.late_TauR)) % 0.44/0.87 (define @t570 () (_ @t540 (_ @t569 (_ @t296 (_ (_ tptp.par (_ @t568 @t137)) @t535))))) % 0.44/0.87 (define @t571 () (_ @t392 @t137)) % 0.44/0.87 (define @t572 () (_ @t541 (_ @t571 @t535))) % 0.44/0.87 (define @t573 () (_ @t145 (_ @t527 @t136))) % 0.44/0.87 (define @t574 () (@list @t140 @t8 @t24 @t136 @t538 @t137 @t535)) % 0.44/0.87 (define @t575 () (_ (_ tptp.subs @t535) @t24)) % 0.44/0.87 (define @t576 () (_ @t540 (_ @t569 (_ @t296 (_ @t543 (_ @t575 @t137)))))) % 0.44/0.87 (define @t577 () (_ @t138 @t538)) % 0.44/0.87 (define @t578 () (_ @t541 (_ @t527 @t535))) % 0.44/0.87 (define @t579 () (_ @t145 (_ @t571 @t136))) % 0.44/0.87 (define @t580 () (@list @t140 @t8 @t137 @t136 @t538 @t24 @t535)) % 0.44/0.87 (define @t581 () (_ @t308 @t535)) % 0.44/0.87 (define @t582 () (_ tptp.subs @t140)) % 0.44/0.87 (define @t583 () (_ @t582 @t8)) % 0.44/0.87 (define @t584 () (@var "D" tptp.name)) % 0.44/0.87 (define @t585 () (_ (_ @t582 @t149) @t584)) % 0.44/0.87 (define @t586 () (_ @t583 @t7)) % 0.44/0.87 (define @t587 () (_ @t91 @t140)) % 0.44/0.87 (define @t588 () (_ @t92 @t140)) % 0.44/0.87 (define @t589 () (_ @t393 @t586)) % 0.44/0.87 (define @t590 () (_ tptp.subs @t331)) % 0.44/0.87 (define @t591 () (@list @t7 @t140 @t8)) % 0.44/0.87 (define @t592 () (@var "P5" tptp.list_P227219501e_name)) % 0.44/0.87 (define @t593 () (_ tptp.perm_name_name @t592)) % 0.44/0.87 (define @t594 () (_ tptp.perm_name_pi @t592)) % 0.44/0.87 (define @t595 () (_ @t540 (_ @t569 (_ (_ tptp.par (_ @t568 @t7)) @t535)))) % 0.44/0.87 (define @t596 () (_ @t541 (_ @t395 @t535))) % 0.44/0.87 (define @t597 () (@list @t140 @t8 @t24 @t136 @t538 @t7 @t535)) % 0.44/0.87 (define @t598 () (_ @t540 (_ @t569 (_ @t543 (_ @t575 @t7))))) % 0.44/0.87 (define @t599 () (@list @t140 @t8 @t7 @t136 @t538 @t24 @t535)) % 0.44/0.87 (define @t600 () (_ @t308 @t136)) % 0.44/0.87 (define @t601 () (not (= @t24 @t7))) % 0.44/0.87 (define @t602 () (_ (_ tptp.swap_name @t10) @t149)) % 0.44/0.87 (define @t603 () (@var "Rel" tptp.set_Pr1834926343_pi_pi)) % 0.44/0.87 (define @t604 () (_ (_ (_ tptp.strong743114133lation @t140) @t603) @t538)) % 0.44/0.87 (define @t605 () (@var "P8" tptp.pi)) % 0.44/0.87 (define @t606 () (@list @t605)) % 0.44/0.87 (define @t607 () (_ @t351 @t319)) % 0.44/0.87 (define @t608 () (@var "Perm" tptp.list_P227219501e_name)) % 0.44/0.87 (define @t609 () (_ (_ tptp.perm_name_name @t608) @t24)) % 0.44/0.87 (define @t610 () (_ tptp.perm_name_pi @t608)) % 0.44/0.87 (define @t611 () (_ (_ tptp.strong2129052853vative (_ @t610 @t140)) (_ @t610 @t538))) % 0.44/0.87 (define @t612 () (_ tptp.eqvt_pi @t603)) % 0.44/0.87 (define @t613 () (_ (_ (_ (_ (_ tptp.strong2129052853vative @t140) @t538) @t298) @t24) @t603)) % 0.44/0.87 (define @t614 () (@list @t140 @t538 @t298 @t24 @t603 @t608)) % 0.44/0.87 (define @t615 () (_ tptp.par @t538)) % 0.44/0.87 (define @t616 () (@var "S2" tptp.pi)) % 0.44/0.87 (define @t617 () (_ tptp.res @t347)) % 0.44/0.87 (define @t618 () (_ @t617 @t616)) % 0.44/0.87 (define @t619 () (@var "R2" tptp.pi)) % 0.44/0.87 (define @t620 () (_ tptp.par @t616)) % 0.44/0.87 (define @t621 () (@var "U" tptp.pi)) % 0.44/0.87 (define @t622 () (@var "T" tptp.pi)) % 0.44/0.87 (define @t623 () (_ (_ tptp.par @t622) @t621)) % 0.44/0.87 (define @t624 () (_ @t620 @t623)) % 0.44/0.87 (define @t625 () (_ @t620 @t622)) % 0.44/0.87 (define @t626 () (@list @t616 @t622 @t621 @t347)) % 0.44/0.87 (define @t627 () (_ (_ tptp.par @t625) @t621)) % 0.44/0.87 (define @t628 () (_ @t96 (_ (_ tptp.abs_fun_name_pi @t57) @t261))) % 0.44/0.87 (define @t629 () (@list @t28 @t204)) % 0.44/0.87 (define @t630 () (@list @t24 @t137)) % 0.44/0.87 (define @t631 () (@list @t20 @t195)) % 0.44/0.87 (define @t632 () (@list @t16 @t127)) % 0.44/0.87 (define @t633 () (@var "P" Bool)) % 0.44/0.87 (define @t634 () (@list @t6 @t186)) % 0.44/0.87 (define @t635 () (_ (_ tptp.produc1570949143e_name tptp.z) tptp.x)) % 0.44/0.87 (define @t636 () (_ (_ tptp.cons_P1213805021e_name @t635) tptp.nil_Pr743626285e_name)) % 0.44/0.87 (define @t637 () (_ tptp.perm_n414416632sidual @t636)) % 0.44/0.87 (define @t638 () (_ (_ tptp.perm_name_pi @t636) tptp.q)) % 0.44/0.87 (define @t639 () (_ tptp.late_transitions @t638)) % 0.44/0.87 (define @t640 () (not (_ @t639 (_ @t637 (_ (_ tptp.late_FreeR (_ (_ tptp.late_OutputR tptp.aa) tptp.x)) tptp.q_a))))) % 0.44/0.87 (define @t641 () (@var "B2" tptp.name)) % 0.44/0.87 (define @t642 () (@var "A2" tptp.name)) % 0.44/0.87 (define @t643 () (lambda (@list @t642 @t641) (not (= @t642 @t641)))) % 0.44/0.87 (define @t644 () (@var "Rel2" tptp.set_Pr1834926343_pi_pi)) % 0.44/0.87 (define @t645 () (@var "Q6" tptp.pi)) % 0.44/0.87 (define @t646 () (@var "P7" tptp.pi)) % 0.44/0.87 (define @t647 () (@var "Alpha3" tptp.late_freeRes)) % 0.44/0.87 (define @t648 () (_ tptp.late_FreeR @t647)) % 0.44/0.87 (define @t649 () (@var "P6" tptp.pi)) % 0.44/0.87 (define @t650 () (_ tptp.late_transitions @t649)) % 0.44/0.87 (define @t651 () (@list @t646)) % 0.44/0.87 (define @t652 () (@var "Q5" tptp.pi)) % 0.44/0.87 (define @t653 () (_ tptp.late_transitions @t652)) % 0.44/0.87 (define @t654 () (@var "X3" tptp.name)) % 0.44/0.87 (define @t655 () (@var "A2" tptp.late_subject)) % 0.44/0.87 (define @t656 () (_ (_ tptp.late_BoundR @t655) @t654)) % 0.44/0.87 (define @t657 () (lambda (@list @t649 @t644 @t652) (and (forall (@list @t655 @t654 @t645) (=> (and (_ @t653 (_ @t656 @t645)) (_ (_ tptp.fresh_name_pi @t654) @t649)) (exists @t651 (and (_ @t650 (_ @t656 @t646)) (_ (_ (_ (_ (_ tptp.strong2129052853vative @t646) @t645) @t655) @t654) @t644))))) (forall (@list @t647 @t645) (=> (_ @t653 (_ @t648 @t645)) (exists @t651 (and (_ @t650 (_ @t648 @t646)) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t646) @t645)) @t644)))))))) % 0.44/0.87 (define @t658 () (tptp.perm_n414416632sidual @t45 @t44)) % 0.44/0.87 (define @t659 () (tptp.perm_name_pi @t45 @t48)) % 0.44/0.87 (define @t660 () (tptp.late_transitions @t659 @t658)) % 0.44/0.87 (define @t661 () (tptp.late_transitions @t48 @t44)) % 0.44/0.87 (define @t662 () (not @t52)) % 0.44/0.87 (define @t663 () (or @t662 @t51)) % 0.44/0.87 (define @t664 () (tptp.late_OutputR tptp.b tptp.x)) % 0.44/0.87 (define @t665 () (tptp.late_FreeR @t664 tptp.q_a)) % 0.44/0.87 (define @t666 () (tptp.late_transitions tptp.q @t665)) % 0.44/0.87 (define @t667 () (_ @t637 @t2)) % 0.44/0.87 (define @t668 () (tptp.produc1570949143e_name tptp.z tptp.x)) % 0.44/0.87 (define @t669 () (tptp.cons_P1213805021e_name @t668 tptp.nil_Pr743626285e_name)) % 0.44/0.87 (define @t670 () (tptp.perm_n414416632sidual @t669 @t665)) % 0.44/0.87 (define @t671 () (tptp.perm_name_pi @t669 tptp.q)) % 0.44/0.87 (define @t672 () (tptp.late_transitions @t671 @t670)) % 0.44/0.87 (define @t673 () (_ @t639 @t667)) % 0.44/0.87 (define @t674 () (not @t666)) % 0.44/0.87 (define @t675 () (or @t674 @t672)) % 0.44/0.87 (define @t676 () (not @t675)) % 0.44/0.87 (define @t677 () (@list true false)) % 0.44/0.87 (define @t678 () (forall @t53 (or (not @t661) @t660))) % 0.44/0.87 (assume @p1 (= tptp.aa tptp.b)) % 0.44/0.87 (assume @p2 (not (= tptp.b tptp.x))) % 0.44/0.87 (assume @p3 (not (= tptp.z tptp.aa))) % 0.44/0.87 (assume @p4 (not (= tptp.y tptp.z))) % 0.44/0.87 (assume @p5 (not (= tptp.y tptp.aa))) % 0.44/0.87 (assume @p6 (not (= tptp.z tptp.x))) % 0.44/0.87 (assume @p7 @t4) % 0.44/0.87 (assume @p8 (= @t5 (_ tptp.late_BoundOutputS tptp.b))) % 0.44/0.87 (assume @p9 (= tptp.alpha tptp.late_TauR)) % 0.44/0.87 (assume @p10 (_ (_ tptp.fresh_name_name tptp.z) tptp.x)) % 0.44/0.87 (assume @p11 (forall @t15 (= (_ @t13 @t14) @t6))) % 0.44/0.87 (assume @p12 (forall @t19 (= (_ @t17 @t18) @t16))) % 0.44/0.87 (assume @p13 (forall @t23 (= (_ @t21 @t22) @t20))) % 0.44/0.87 (assume @p14 (forall @t27 (= (_ @t25 @t26) @t24))) % 0.44/0.87 (assume @p15 (forall @t31 (= (_ @t29 @t30) @t28))) % 0.44/0.87 (assume @p16 (forall (@list @t8 @t6) (= (_ (_ tptp.perm_n1559866809ubject @t32) @t6) @t6))) % 0.44/0.87 (assume @p17 (forall (@list @t8 @t16) (= (_ (_ tptp.perm_n336613537reeRes @t32) @t16) @t16))) % 0.44/0.87 (assume @p18 (forall (@list @t8 @t20) (= (_ (_ tptp.perm_name_pi_Rep @t32) @t20) @t20))) % 0.44/0.87 (assume @p19 (forall (@list @t8 @t24) (= (_ (_ tptp.perm_name_name @t32) @t24) @t24))) % 0.44/0.87 (assume @p20 (forall (@list @t8 @t28) (= (_ (_ tptp.perm_name_pi @t32) @t28) @t28))) % 0.44/0.87 (assume @p21 (forall @t15 (= @t14 @t34))) % 0.44/0.87 (assume @p22 (forall @t19 (= @t18 @t35))) % 0.44/0.87 (assume @p23 (forall @t23 (= @t22 @t36))) % 0.44/0.87 (assume @p24 (forall @t27 (= @t26 @t37))) % 0.44/0.87 (assume @p25 (forall @t31 (= @t30 @t38))) % 0.44/0.87 (assume @p26 (forall @t39 (= (_ (_ tptp.perm_n1559866809ubject tptp.nil_Pr743626285e_name) @t6) @t6))) % 0.44/0.87 (assume @p27 (forall @t40 (= (_ (_ tptp.perm_n336613537reeRes tptp.nil_Pr743626285e_name) @t16) @t16))) % 0.44/0.87 (assume @p28 (forall (@list @t20) (= (_ @t41 @t20) @t20))) % 0.44/0.87 (assume @p29 (forall @t42 (= (_ (_ tptp.perm_name_name tptp.nil_Pr743626285e_name) @t24) @t24))) % 0.44/0.87 (assume @p30 (forall @t43 (= (_ (_ tptp.perm_name_pi tptp.nil_Pr743626285e_name) @t28) @t28))) % 0.44/0.87 (assume @p31 (not (= tptp.y tptp.x))) % 0.44/0.87 (assume @p32 (forall @t15 (= (_ @t13 @t34) @t6))) % 0.44/0.87 (assume @p33 (forall @t19 (= (_ @t17 @t35) @t16))) % 0.44/0.87 (assume @p34 (forall @t23 (= (_ @t21 @t36) @t20))) % 0.44/0.87 (assume @p35 (forall @t27 (= (_ @t25 @t37) @t24))) % 0.44/0.87 (assume @p36 (forall @t31 (= (_ @t29 @t38) @t28))) % 0.44/0.87 (assume @p37 @t54) % 0.44/0.87 (assume @p38 (_ @t55 tptp.q)) % 0.44/0.87 (assume @p39 (forall (@list @t60 @t57 @t59 @t56) (= (= @t62 (_ (_ tptp.late_OutputR @t59) @t56)) (and @t61 @t58)))) % 0.44/0.87 (assume @p40 (forall (@list @t66 @t64 @t65 @t63) (= (= @t67 (_ (_ tptp.late_OutputR @t65) @t63)) (and (= @t66 @t65) (= @t64 @t63))))) % 0.44/0.87 (assume @p41 (_ @t55 tptp.p2)) % 0.44/0.87 (assume @p42 (_ @t68 tptp.q2)) % 0.44/0.87 (assume @p43 (_ (_ tptp.fresh_name_name tptp.y) tptp.x)) % 0.44/0.87 (assume @p44 (_ (_ tptp.fresh_name_pi tptp.x) tptp.p)) % 0.44/0.87 (assume @p45 (_ @t55 tptp.p)) % 0.44/0.87 (assume @p46 (_ @t68 tptp.p)) % 0.44/0.87 (assume @p47 (forall (@list @t69) (= (_ (_ tptp.perm_n890803237al_Rep tptp.nil_Pr743626285e_name) @t69) @t69))) % 0.44/0.87 (assume @p48 (forall (@list @t70) (= (_ (_ tptp.perm_n697952036ct_Rep tptp.nil_Pr743626285e_name) @t70) @t70))) % 0.44/0.87 (assume @p49 (forall (@list @t71) (= (_ (_ tptp.perm_n1938283068es_Rep tptp.nil_Pr743626285e_name) @t71) @t71))) % 0.44/0.87 (assume @p50 (forall (@list @t72) (= (_ @t41 @t72) @t72))) % 0.44/0.87 (assume @p51 (forall (@list @t45 @t60 @t57) (= (_ @t75 @t62) (_ (_ tptp.late_OutputR (_ @t73 @t60)) @t74)))) % 0.44/0.87 (assume @p52 (forall @t78 (= (_ @t77 @t76) (_ tptp.late_BoundOutputS @t74)))) % 0.44/0.87 (assume @p53 (forall @t79 (= (= @t76 (_ tptp.late_BoundOutputS @t56)) @t58))) % 0.44/0.87 (assume @p54 (forall (@list @t60 @t59) (= (= @t80 (_ tptp.late_BoundOutputS @t59)) @t61))) % 0.44/0.87 (assume @p55 (forall (@list @t45) (= (_ @t75 tptp.late_TauR) tptp.late_TauR))) % 0.44/0.87 (assume @p56 (forall (@list @t45 @t81 @t48) (= (_ @t46 @t82) (_ (_ tptp.late_FreeR (_ @t75 @t81)) @t50)))) % 0.44/0.87 (assume @p57 (forall (@list @t8 @t20 @t7) (=> @t84 (=> (_ (_ tptp.fresh_name_pi_Rep @t7) @t20) (= @t22 @t20))))) % 0.44/0.87 (assume @p58 (forall (@list @t8 @t6 @t7) (=> @t86 (=> (_ (_ tptp.fresh_717452603ubject @t7) @t6) (= @t14 @t6))))) % 0.44/0.87 (assume @p59 (forall (@list @t8 @t16 @t7) (=> @t88 (=> (_ (_ tptp.fresh_1641682979reeRes @t7) @t16) (= @t18 @t16))))) % 0.44/0.87 (assume @p60 (forall (@list @t8 @t24 @t7) (=> @t90 (=> (_ (_ tptp.fresh_name_name @t7) @t24) (= @t26 @t24))))) % 0.44/0.87 (assume @p61 (forall (@list @t8 @t28 @t7) (=> @t93 (=> (_ @t91 @t28) (= @t30 @t28))))) % 0.44/0.87 (assume @p62 (forall (@list @t8 @t94 @t7) (=> @t97 (=> (_ (_ tptp.fresh_543891186ion_pi @t7) @t94) (= @t95 @t94))))) % 0.44/0.87 (assume @p63 (_ @t55 @t98)) % 0.44/0.87 (assume @p64 (_ @t68 @t98)) % 0.44/0.87 (assume @p65 (forall (@list @t8 @t45 @t20) (=> @t101 (=> @t84 (_ @t83 @t100))))) % 0.44/0.87 (assume @p66 (forall (@list @t8 @t45 @t6) (=> @t101 (=> @t86 (_ @t85 @t102))))) % 0.44/0.87 (assume @p67 (forall (@list @t8 @t45 @t16) (=> @t101 (=> @t88 (_ @t87 @t103))))) % 0.44/0.87 (assume @p68 (forall (@list @t8 @t45 @t24) (=> @t101 (=> @t90 (_ @t89 @t104))))) % 0.44/0.87 (assume @p69 (forall (@list @t8 @t45 @t28) (=> @t101 (=> @t93 (_ @t92 @t105))))) % 0.44/0.87 (assume @p70 (forall (@list @t8 @t45 @t94) (=> @t101 (=> @t97 (_ @t96 @t106))))) % 0.44/0.87 (assume @p71 (forall @t39 (not (forall @t108 (not (_ (_ tptp.fresh_717452603ubject @t107) @t6)))))) % 0.44/0.87 (assume @p72 (forall @t40 (not (forall @t108 (not (_ (_ tptp.fresh_1641682979reeRes @t107) @t16)))))) % 0.44/0.87 (assume @p73 (forall @t42 (not (forall @t108 (not (_ (_ tptp.fresh_name_name @t107) @t24)))))) % 0.44/0.87 (assume @p74 (forall @t43 (not (forall @t108 (not (_ (_ tptp.fresh_name_pi @t107) @t28)))))) % 0.44/0.87 (assume @p75 (forall @t112 (= (_ @t111 @t84) @t110))) % 0.44/0.87 (assume @p76 (forall @t114 (= (_ @t111 @t86) @t113))) % 0.44/0.87 (assume @p77 (forall @t116 (= (_ @t111 @t88) @t115))) % 0.44/0.87 (assume @p78 (forall @t118 (= (_ @t111 @t90) @t117))) % 0.44/0.87 (assume @p79 (forall @t120 (= (_ @t111 @t93) @t119))) % 0.44/0.87 (assume @p80 (forall @t122 (= (_ @t111 @t97) @t121))) % 0.44/0.87 (assume @p81 (forall (@list @t123 @t124) (= (_ (_ tptp.member558706512_pi_pi @t123) (_ tptp.collec1051790738_pi_pi @t124)) (_ @t124 @t123)))) % 0.44/0.87 (assume @p82 (forall (@list @t125) (= (_ tptp.collec1051790738_pi_pi (lambda (@list @t126) (_ (_ tptp.member558706512_pi_pi @t126) @t125))) @t125))) % 0.44/0.87 (assume @p83 (forall @t112 (= @t110 @t84))) % 0.44/0.87 (assume @p84 (forall @t114 (= @t113 @t86))) % 0.44/0.87 (assume @p85 (forall @t116 (= @t115 @t88))) % 0.44/0.87 (assume @p86 (forall @t118 (= @t117 @t90))) % 0.44/0.87 (assume @p87 (forall @t120 (= @t119 @t93))) % 0.44/0.87 (assume @p88 (forall @t122 (= @t121 @t97))) % 0.44/0.87 (assume @p89 (forall (@list @t127) (=> (forall (@list @t129 @t128) (not (= @t127 (_ (_ tptp.late_OutputR @t129) @t128)))) (= @t127 tptp.late_TauR)))) % 0.44/0.87 (assume @p90 (forall (@list @t131 @t130) (=> (forall (@list @t133 @t132) (_ @t131 (_ (_ tptp.late_OutputR @t133) @t132))) (=> (_ @t131 tptp.late_TauR) (_ @t131 @t130))))) % 0.44/0.87 (assume @p91 (forall (@list @t66 @t64) (not (= @t67 tptp.late_TauR)))) % 0.44/0.87 (assume @p92 (forall (@list @t135 @t134) (not (= (_ (_ tptp.late_OutputR @t135) @t134) tptp.late_TauR)))) % 0.44/0.87 (assume @p93 (forall @t147 (=> @t146 (=> @t141 @t139)))) % 0.44/0.87 (assume @p94 (forall @t148 (= (_ @t25 @t8) @t7))) % 0.44/0.87 (assume @p95 (forall @t148 (= (_ @t25 @t7) @t8))) % 0.44/0.87 (assume @p96 (forall @t154 (=> @t153 (=> @t151 (= (_ @t25 @t149) @t149))))) % 0.44/0.87 (assume @p97 (forall (@list @t149 @t8 @t20 @t7) (=> @t156 (=> @t84 (=> (_ @t155 @t20) (_ @t155 @t22)))))) % 0.44/0.87 (assume @p98 (forall (@list @t149 @t8 @t6 @t7) (=> @t156 (=> @t86 (=> (_ @t157 @t6) (_ @t157 @t14)))))) % 0.44/0.87 (assume @p99 (forall (@list @t149 @t8 @t16 @t7) (=> @t156 (=> @t88 (=> (_ @t158 @t16) (_ @t158 @t18)))))) % 0.44/0.87 (assume @p100 (forall (@list @t149 @t8 @t24 @t7) (=> @t156 (=> @t90 (=> (_ @t159 @t24) (_ @t159 @t26)))))) % 0.44/0.87 (assume @p101 (forall (@list @t149 @t8 @t28 @t7) (=> @t156 (=> @t93 (=> (_ @t160 @t28) (_ @t160 @t30)))))) % 0.44/0.87 (assume @p102 (forall (@list @t149 @t8 @t94 @t7) (=> @t156 (=> @t97 (=> (_ @t161 @t94) (_ @t161 @t95)))))) % 0.44/0.87 (assume @p103 (forall (@list @t162 @t165 @t6) (= (_ @t163 @t168) (_ (_ tptp.perm_n1559866809ubject @t166) @t164)))) % 0.44/0.87 (assume @p104 (forall (@list @t162 @t165 @t16) (= (_ @t169 @t172) (_ (_ tptp.perm_n336613537reeRes @t166) @t170)))) % 0.44/0.87 (assume @p105 (forall (@list @t162 @t165 @t20) (= (_ @t173 @t176) (_ (_ tptp.perm_name_pi_Rep @t166) @t174)))) % 0.44/0.87 (assume @p106 (forall (@list @t162 @t165 @t24) (= (_ @t177 @t180) (_ (_ tptp.perm_name_name @t166) @t178)))) % 0.44/0.87 (assume @p107 (forall (@list @t162 @t165 @t28) (= (_ @t181 @t184) (_ (_ tptp.perm_name_pi @t166) @t182)))) % 0.44/0.87 (assume @p108 (forall (@list @t165 @t162 @t6) (= (_ @t167 @t164) (_ (_ tptp.perm_n1559866809ubject @t185) @t168)))) % 0.44/0.87 (assume @p109 (forall (@list @t165 @t162 @t16) (= (_ @t171 @t170) (_ (_ tptp.perm_n336613537reeRes @t185) @t172)))) % 0.44/0.87 (assume @p110 (forall (@list @t165 @t162 @t20) (= (_ @t175 @t174) (_ (_ tptp.perm_name_pi_Rep @t185) @t176)))) % 0.44/0.87 (assume @p111 (forall (@list @t165 @t162 @t24) (= (_ @t179 @t178) (_ (_ tptp.perm_name_name @t185) @t180)))) % 0.44/0.87 (assume @p112 (forall (@list @t165 @t162 @t28) (= (_ @t183 @t182) (_ (_ tptp.perm_name_pi @t185) @t184)))) % 0.44/0.87 (assume @p113 (forall @t190 (= @t189 @t187))) % 0.44/0.87 (assume @p114 (forall @t194 (= @t193 @t191))) % 0.44/0.87 (assume @p115 (forall @t199 (= @t198 @t196))) % 0.44/0.87 (assume @p116 (forall @t203 (= @t202 @t200))) % 0.44/0.87 (assume @p117 (forall @t208 (= @t207 @t205))) % 0.44/0.87 (assume @p118 (forall (@list @t45 @t209 @t6) (= (_ @t77 (_ @t209 @t6)) (_ (_ (_ tptp.perm_n1447856217ubject @t45) @t209) @t102)))) % 0.44/0.87 (assume @p119 (forall (@list @t45 @t210 @t16) (= (_ @t77 (_ @t210 @t16)) (_ (_ (_ tptp.perm_n303101761ubject @t45) @t210) @t103)))) % 0.44/0.87 (assume @p120 (forall (@list @t45 @t211 @t20) (= (_ @t77 (_ @t211 @t20)) (_ (_ (_ tptp.perm_n698371375ubject @t45) @t211) @t100)))) % 0.44/0.87 (assume @p121 (forall (@list @t45 @t212 @t24) (= (_ @t77 (_ @t212 @t24)) (_ (_ (_ tptp.perm_n1387060402ubject @t45) @t212) @t104)))) % 0.44/0.87 (assume @p122 (forall (@list @t45 @t213 @t28) (= (_ @t77 (_ @t213 @t28)) (_ (_ (_ tptp.perm_n190055296ubject @t45) @t213) @t105)))) % 0.44/0.87 (assume @p123 (forall (@list @t45 @t214 @t6) (= (_ @t75 (_ @t214 @t6)) (_ (_ (_ tptp.perm_n443561793reeRes @t45) @t214) @t102)))) % 0.44/0.87 (assume @p124 (forall (@list @t45 @t215 @t16) (= (_ @t75 (_ @t215 @t16)) (_ (_ (_ tptp.perm_n1446290985reeRes @t45) @t215) @t103)))) % 0.44/0.87 (assume @p125 (forall (@list @t45 @t216 @t20) (= (_ @t75 (_ @t216 @t20)) (_ (_ (_ tptp.perm_n1841560599reeRes @t45) @t216) @t100)))) % 0.44/0.87 (assume @p126 (forall (@list @t45 @t217 @t24) (= (_ @t75 (_ @t217 @t24)) (_ (_ (_ tptp.perm_n382765978reeRes @t45) @t217) @t104)))) % 0.44/0.87 (assume @p127 (forall (@list @t45 @t218 @t28) (= (_ @t75 (_ @t218 @t28)) (_ (_ (_ tptp.perm_n1333244520reeRes @t45) @t218) @t105)))) % 0.44/0.87 (assume @p128 (forall (@list @t45 @t220 @t219) (= (_ @t111 (_ (_ tptp.member558706512_pi_pi @t220) @t219)) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.perm_n1415585007_pi_pi @t45) @t220)) (_ (_ tptp.perm_n675238095_pi_pi @t45) @t219))))) % 0.44/0.87 (assume @p129 (forall (@list @t45 @t6 @t221) (= (_ @t111 (_ (_ tptp.member_Late_subject @t6) @t221)) (_ (_ tptp.member_Late_subject @t102) (_ (_ tptp.perm_n412725103ubject @t45) @t221))))) % 0.44/0.87 (assume @p130 (forall (@list @t45 @t16 @t222) (= (_ @t111 (_ (_ tptp.member_Late_freeRes @t16) @t222)) (_ (_ tptp.member_Late_freeRes @t103) (_ (_ tptp.perm_n1555914327reeRes @t45) @t222))))) % 0.44/0.87 (assume @p131 (forall (@list @t45 @t20 @t223) (= (_ @t111 (_ (_ tptp.member_pi_Rep @t20) @t223)) (_ (_ tptp.member_pi_Rep @t100) (_ (_ tptp.perm_name_set_pi_Rep @t45) @t223))))) % 0.44/0.87 (assume @p132 (forall (@list @t45 @t24 @t224) (= (_ @t111 (_ (_ tptp.member_name @t24) @t224)) (_ (_ tptp.member_name @t104) (_ (_ tptp.perm_name_set_name @t45) @t224))))) % 0.44/0.87 (assume @p133 (forall (@list @t45 @t28 @t225) (= (_ @t111 (_ (_ tptp.member_pi @t28) @t225)) (_ (_ tptp.member_pi @t105) (_ (_ tptp.perm_name_set_pi @t45) @t225))))) % 0.44/0.87 (assume @p134 (forall @t190 (= (_ @t111 @t187) @t189))) % 0.44/0.87 (assume @p135 (forall @t194 (= (_ @t111 @t191) @t193))) % 0.44/0.87 (assume @p136 (forall @t199 (= (_ @t111 @t196) @t198))) % 0.44/0.87 (assume @p137 (forall @t203 (= (_ @t111 @t200) @t202))) % 0.44/0.87 (assume @p138 (forall @t208 (= (_ @t111 @t205) @t207))) % 0.44/0.87 (assume @p139 (forall (@list @t81 @t48 @t228 @t226) (= (= @t82 (_ (_ tptp.late_FreeR @t228) @t226)) (and (= @t81 @t228) @t227)))) % 0.44/0.87 (assume @p140 (forall (@list @t8 @t6 @t186) (= (_ (_ tptp.fresh_495373993ubject @t8) @t230) (and @t86 @t229)))) % 0.44/0.87 (assume @p141 (forall (@list @t8 @t6 @t127) (= (_ (_ tptp.fresh_1638563217reeRes @t8) @t232) (and @t86 @t231)))) % 0.44/0.87 (assume @p142 (forall (@list @t8 @t6 @t137) (= (_ (_ tptp.fresh_1953561446t_name @t8) @t234) (and @t86 @t233)))) % 0.44/0.87 (assume @p143 (forall (@list @t8 @t6 @t204) (= (_ (_ tptp.fresh_994896692ect_pi @t8) @t236) (and @t86 @t235)))) % 0.44/0.87 (assume @p144 (forall (@list @t8 @t16 @t186) (= (_ (_ tptp.fresh_1498103185ubject @t8) @t237) (and @t88 @t229)))) % 0.44/0.87 (assume @p145 (forall (@list @t8 @t16 @t127) (= (_ (_ tptp.fresh_493808761reeRes @t8) @t238) (and @t88 @t231)))) % 0.44/0.87 (assume @p146 (forall (@list @t8 @t16 @t137) (= (_ (_ tptp.fresh_2007541374s_name @t8) @t239) (and @t88 @t233)))) % 0.44/0.87 (assume @p147 (forall (@list @t8 @t16 @t204) (= (_ (_ tptp.fresh_1847501388Res_pi @t8) @t240) (and @t88 @t235)))) % 0.44/0.87 (assume @p148 (forall (@list @t8 @t24 @t186) (= (_ (_ tptp.fresh_820177506ubject @t8) (_ (_ tptp.produc607574050ubject @t24) @t186)) (and @t90 @t229)))) % 0.44/0.87 (assume @p149 (forall (@list @t8 @t24 @t127) (= (_ (_ tptp.fresh_1963366730reeRes @t8) (_ (_ tptp.produc1531804426reeRes @t24) @t127)) (and @t90 @t231)))) % 0.44/0.87 (assume @p150 (forall (@list @t244 @t242 @t243 @t241) (= (= @t245 (_ (_ tptp.cons_P1213805021e_name @t243) @t241)) (and (= @t244 @t243) (= @t242 @t241))))) % 0.44/0.87 (assume @p151 (forall @t251 (= @t250 (and @t249 @t247)))) % 0.44/0.87 (assume @p152 (forall @t259 (= @t258 (and @t257 @t254)))) % 0.44/0.87 (assume @p153 (forall (@list @t57 @t60 @t56 @t59) (= (= (_ (_ tptp.produc1570949143e_name @t57) @t60) (_ (_ tptp.produc1570949143e_name @t56) @t59)) (and @t58 @t61)))) % 0.44/0.87 (assume @p154 (forall (@list @t48 @t261 @t226 @t260) (= (= (_ (_ tptp.product_Pair_pi_pi @t48) @t261) (_ (_ tptp.product_Pair_pi_pi @t226) @t260)) (and @t227 @t262)))) % 0.44/0.87 (assume @p155 (_ (_ tptp.late_transitions @t98) (_ (_ (_ tptp.late_BoundR @t5) tptp.z) tptp.q2))) % 0.44/0.87 (assume @p156 (forall (@list @t8 @t6 @t263) (= (_ @t264 @t265) (and @t86 (_ @t264 @t263))))) % 0.44/0.87 (assume @p157 (forall (@list @t8 @t16 @t266) (= (_ @t267 @t268) (and @t88 (_ @t267 @t266))))) % 0.44/0.87 (assume @p158 (forall (@list @t8 @t24 @t269) (= (_ @t270 @t271) (and @t90 (_ @t270 @t269))))) % 0.44/0.87 (assume @p159 (forall (@list @t8 @t28 @t272) (= (_ @t273 @t274) (and @t93 (_ @t273 @t272))))) % 0.44/0.87 (assume @p160 (forall (@list @t8 @t94 @t275) (= (_ @t276 (_ (_ tptp.cons_name_noption_pi @t94) @t275)) (and @t97 (_ @t276 @t275))))) % 0.44/0.87 (assume @p161 (forall @t280 (=> @t279 @t233))) % 0.44/0.87 (assume @p162 (forall @t282 (=> @t281 @t235))) % 0.44/0.87 (assume @p163 (forall @t280 (=> @t279 @t90))) % 0.44/0.87 (assume @p164 (forall @t282 (=> @t281 @t93))) % 0.44/0.87 (assume @p165 (forall (@list @t45 @t6 @t263) (= (_ @t283 @t265) (_ (_ tptp.cons_Late_subject @t102) (_ @t283 @t263))))) % 0.44/0.87 (assume @p166 (forall (@list @t45 @t16 @t266) (= (_ @t284 @t268) (_ (_ tptp.cons_Late_freeRes @t103) (_ @t284 @t266))))) % 0.44/0.87 (assume @p167 (forall (@list @t45 @t20 @t285) (= (_ @t286 (_ (_ tptp.cons_pi_Rep @t20) @t285)) (_ (_ tptp.cons_pi_Rep @t100) (_ @t286 @t285))))) % 0.44/0.87 (assume @p168 (forall (@list @t45 @t24 @t269) (= (_ @t287 @t271) (_ (_ tptp.cons_name @t104) (_ @t287 @t269))))) % 0.44/0.87 (assume @p169 (forall (@list @t45 @t28 @t272) (= (_ @t288 @t274) (_ (_ tptp.cons_pi @t105) (_ @t288 @t272))))) % 0.44/0.87 (assume @p170 (forall @t289 (_ @t87 tptp.late_TauR))) % 0.44/0.87 (assume @p171 (forall (@list @t8 @t81 @t48) (= (_ (_ tptp.fresh_81631222sidual @t8) @t82) (and (_ @t87 @t81) @t290)))) % 0.44/0.87 (assume @p172 (forall (@list @t8 @t60 @t57) (= (_ @t87 @t62) (and (_ @t89 @t60) @t291)))) % 0.44/0.87 (assume @p173 (forall @t292 (= (_ @t85 @t76) @t291))) % 0.44/0.87 (assume @p174 (forall (@list @t45 @t57 @t261) (= (_ @t49 @t294) (_ (_ tptp.res @t74) @t293)))) % 0.44/0.87 (assume @p175 (_ (_ tptp.late_transitions tptp.p) (_ (_ (_ tptp.late_BoundR (_ tptp.late_InputS tptp.aa)) tptp.y) tptp.p2))) % 0.44/0.87 (assume @p176 (forall (@list @t45 @t295 @t57 @t261) (= (_ @t46 (_ (_ (_ tptp.late_BoundR @t295) @t57) @t261)) (_ (_ (_ tptp.late_BoundR (_ @t77 @t295)) @t74) @t293)))) % 0.44/0.87 (assume @p177 (forall @t306 (=> @t305 (=> @t304 (=> @t303 @t302))))) % 0.44/0.87 (assume @p178 (forall @t306 (=> @t305 (=> @t304 (=> @t303 (=> @t309 (=> @t307 @t302))))))) % 0.44/0.87 (assume @p179 (forall (@list @t24 @t140 @t142 @t310 @t311) (=> (_ @t317 (_ @t143 @t310)) (=> (forall @t315 (=> @t314 (=> (_ (_ tptp.fresh_1641682979reeRes @t24) @t142) (_ @t311 (_ @t313 @t312))))) (_ @t311 @t310))))) % 0.44/0.87 (assume @p180 (forall (@list @t24 @t140 @t142 @t136) (=> (_ @t317 @t144) (not (forall @t329 (=> @t328 (=> (= @t144 @t326) @t323))))))) % 0.44/0.87 (assume @p181 (forall @t147 (=> @t146 (=> @t330 (_ @t301 (_ @t143 @t297)))))) % 0.44/0.87 (assume @p182 (forall @t306 (=> @t305 (=> @t141 @t304)))) % 0.44/0.87 (assume @p183 (forall (@list @t8 @t140) (_ @t92 @t331))) % 0.44/0.87 (assume @p184 (forall (@list @t336 @t335 @t334 @t333 @t332) (not (= (_ (_ (_ tptp.late_BoundR @t336) @t335) @t334) (_ (_ tptp.late_FreeR @t333) @t332))))) % 0.44/0.87 (assume @p185 (forall (@list @t338 @t337) (=> (forall (@list @t343 @t342 @t339) (_ @t338 @t344)) (=> (forall (@list @t340 @t339) (_ @t338 @t341)) (_ @t338 @t337))))) % 0.44/0.87 (assume @p186 (forall (@list @t24 @t140 @t345) (=> (_ @t317 @t345) (=> (forall @t362 (=> (= @t316 @t361) (forall @t315 (=> (= @t345 @t360) @t359)))) (=> (forall @t356 (=> @t328 (=> (= @t345 @t355) @t354))) (not (forall @t329 (=> @t328 (=> (= @t345 @t326) @t323))))))))) % 0.44/0.87 (assume @p187 (forall @t373 (=> @t372 (not (forall @t370 (not (= @t369 (_ @t368 @t366)))))))) % 0.44/0.87 (assume @p188 (forall @t373 (=> @t372 (=> (forall (@list @t367 @t364) (not (= @t369 (_ @t368 @t378)))) (not (forall (@list @t367 @t364 @t375 @t374) (not (= @t369 (_ @t368 @t377))))))))) % 0.44/0.87 (assume @p189 (forall @t384 (=> @t383 (not (forall @t382 (not (= @t381 (_ @t380 @t363)))))))) % 0.44/0.87 (assume @p190 (forall @t384 (=> @t383 (=> (forall @t387 (not (= @t381 (_ (_ tptp.produc208131031e_name @t374) tptp.nil_Pr743626285e_name)))) (not (forall @t386 (not (= @t381 (_ @t380 @t385))))))))) % 0.44/0.87 (assume @p191 (forall (@list @t390 @t140 @t298 @t388 @t136) (=> (_ (_ tptp.late_transitions @t391) @t389) (=> (forall @t362 (=> (= @t391 @t361) (forall @t315 (=> (= @t389 @t360) @t359)))) (not (forall @t356 (=> (= @t391 @t327) (=> (= @t389 @t355) @t354)))))))) % 0.44/0.87 (assume @p192 (forall (@list @t140 @t8 @t7 @t136) (=> @t396 (=> @t394 (_ (_ tptp.late_transitions (_ @t393 @t140)) (_ (_ @t392 @t7) @t136)))))) % 0.44/0.87 (assume @p193 (forall (@list @t140 @t345 @t24) (=> (_ @t145 @t345) (=> @t309 (_ (_ tptp.fresh_81631222sidual @t24) @t345))))) % 0.44/0.87 (assume @p194 (forall @t306 (=> @t305 (=> @t141 (=> @t303 @t139))))) % 0.44/0.87 (assume @p195 (forall (@list @t398 @t397 @t337) (=> (forall (@list @t343 @t342 @t339 @t399) (=> (_ @t401 @t399) (=> @t402 (_ @t400 @t344)))) (=> (forall (@list @t340 @t339 @t399) (_ @t400 @t341)) (_ (_ @t398 @t397) @t337))))) % 0.44/0.87 (assume @p196 (forall (@list @t404 @t403 @t337) (=> (forall (@list @t343 @t342 @t339 @t405) (=> (_ (_ tptp.fresh_1641682979reeRes @t342) @t405) (=> @t402 (_ @t406 @t344)))) (=> (forall (@list @t340 @t339 @t405) (_ @t406 @t341)) (_ (_ @t404 @t403) @t337))))) % 0.44/0.87 (assume @p197 (forall (@list @t408 @t407 @t337) (=> (forall (@list @t343 @t342 @t339 @t409) (=> (_ (_ tptp.fresh_name_name @t342) @t409) (=> @t402 (_ @t410 @t344)))) (=> (forall (@list @t340 @t339 @t409) (_ @t410 @t341)) (_ (_ @t408 @t407) @t337))))) % 0.44/0.87 (assume @p198 (forall (@list @t412 @t411 @t337) (=> (forall (@list @t343 @t342 @t339 @t413) (=> (_ (_ tptp.fresh_name_pi @t342) @t413) (=> @t402 (_ @t414 @t344)))) (=> (forall (@list @t340 @t339 @t413) (_ @t414 @t341)) (_ (_ @t412 @t411) @t337))))) % 0.44/0.87 (assume @p199 (forall (@list @t137 @t140 @t298 @t24 @t415 @t416) (=> (_ @t301 (_ @t300 @t415)) (=> @t421 (=> @t309 (=> (forall (@list @t357 @t312) (=> (_ @t145 (_ (_ tptp.late_FreeR (_ (_ tptp.late_OutputR @t357) @t137)) @t312)) (=> (not (= @t357 @t137)) (=> (= @t298 @t420) (_ (_ @t416 @t420) (_ @t419 @t312)))))) (=> (forall @t315 (=> @t418 (=> @t304 (_ @t417 (_ @t296 @t312))))) (_ @t417 @t415)))))))) % 0.44/0.87 (assume @p200 (forall @t147 (=> @t146 (=> @t141 @t330)))) % 0.44/0.87 (assume @p201 (forall (@list @t422) (exists (@list @t347 @t319) (= @t422 (_ (_ tptp.produc1570949143e_name @t347) @t319))))) % 0.44/0.87 (assume @p202 (forall (@list @t425) (exists (@list @t424 @t423) (= @t425 (_ (_ tptp.product_Pair_pi_pi @t424) @t423))))) % 0.44/0.87 (assume @p203 (forall (@list @t426 @t422) (=> @t429 (_ @t426 @t422)))) % 0.44/0.87 (assume @p204 (forall (@list @t124 @t425) (=> @t434 (_ @t124 @t425)))) % 0.44/0.87 (assume @p205 (forall @t251 (=> @t250 (not (=> @t249 (not @t247)))))) % 0.44/0.87 (assume @p206 (forall @t259 (=> @t258 (not (=> @t257 (not @t254)))))) % 0.44/0.87 (assume @p207 (forall (@list @t435) (not (forall @t428 (not (= @t435 @t427)))))) % 0.44/0.87 (assume @p208 (forall (@list @t436) (not (forall @t433 (not (= @t436 @t432)))))) % 0.44/0.87 (assume @p209 (forall (@list @t426 @t437) (=> @t429 (_ @t426 @t437)))) % 0.44/0.87 (assume @p210 (forall (@list @t124 @t438) (=> @t434 (_ @t124 @t438)))) % 0.44/0.87 (assume @p211 (forall (@list @t440 @t439) (not (= @t441 @t439)))) % 0.44/0.87 (assume @p212 (forall (@list @t442) (=> (forall @t445 (_ @t442 @t444)) @t443))) % 0.44/0.87 (assume @p213 (forall (@list @t45 @t448 @t447 @t446) (and (=> @t450 (= @t449 (_ @t77 @t447))) (=> @t451 (= @t449 (_ @t77 @t446)))))) % 0.44/0.87 (assume @p214 (forall (@list @t45 @t448 @t453 @t452) (and (=> @t450 (= @t454 (_ @t75 @t453))) (=> @t451 (= @t454 (_ @t75 @t452)))))) % 0.44/0.87 (assume @p215 (forall (@list @t45 @t448 @t456 @t455) (and (=> @t450 (= @t457 (_ @t99 @t456))) (=> @t451 (= @t457 (_ @t99 @t455)))))) % 0.44/0.87 (assume @p216 (forall (@list @t45 @t448 @t459 @t458) (and (=> @t450 (= @t460 (_ @t73 @t459))) (=> @t451 (= @t460 (_ @t73 @t458)))))) % 0.44/0.87 (assume @p217 (forall (@list @t45 @t448 @t462 @t461) (and (=> @t450 (= @t463 (_ @t49 @t462))) (=> @t451 (= @t463 (_ @t49 @t461)))))) % 0.44/0.87 (assume @p218 (forall (@list @t6 @t186 @t45) (=> @t187 @t189))) % 0.44/0.87 (assume @p219 (forall (@list @t16 @t127 @t45) (=> @t191 @t193))) % 0.44/0.87 (assume @p220 (forall (@list @t20 @t195 @t45) (=> @t196 @t198))) % 0.44/0.87 (assume @p221 (forall (@list @t24 @t137 @t45) (=> @t200 @t202))) % 0.44/0.87 (assume @p222 (forall (@list @t28 @t204 @t45) (=> @t205 @t207))) % 0.44/0.87 (assume @p223 (forall (@list @t464 @t45 @t6 @t186) (and (=> @t464 (= @t465 @t102)) (=> @t466 (= @t465 @t188))))) % 0.44/0.87 (assume @p224 (forall (@list @t464 @t45 @t16 @t127) (and (=> @t464 (= @t467 @t103)) (=> @t466 (= @t467 @t192))))) % 0.44/0.87 (assume @p225 (forall (@list @t464 @t45 @t20 @t195) (and (=> @t464 (= @t468 @t100)) (=> @t466 (= @t468 @t197))))) % 0.44/0.87 (assume @p226 (forall (@list @t464 @t45 @t24 @t137) (and (=> @t464 (= @t469 @t104)) (=> @t466 (= @t469 @t201))))) % 0.44/0.87 (assume @p227 (forall (@list @t464 @t45 @t28 @t204) (and (=> @t464 (= @t470 @t105)) (=> @t466 (= @t470 @t206))))) % 0.44/0.87 (assume @p228 (forall (@list @t149 @t140 @t8) (=> @t471 (= @t331 (_ (_ tptp.res @t149) (_ (_ tptp.perm_name_pi (_ (_ tptp.cons_P1213805021e_name (_ @t9 @t149)) tptp.nil_Pr743626285e_name)) @t140)))))) % 0.44/0.87 (assume @p229 (forall (@list @t390 @t140 @t298 @t24) (=> (_ (_ tptp.fresh_name_pi @t390) @t140) (= (_ @t300 @t140) (_ (_ @t299 @t390) (_ (_ tptp.perm_name_pi (_ (_ tptp.cons_P1213805021e_name (_ @t277 @t390)) tptp.nil_Pr743626285e_name)) @t140)))))) % 0.44/0.87 (assume @p230 (forall @t190 (= (_ (_ tptp.perm_n171497387ubject @t45) @t230) (_ (_ tptp.produc1465345179ubject @t102) @t188)))) % 0.44/0.87 (assume @p231 (forall (@list @t45 @t6 @t127) (= (_ (_ tptp.perm_n1314686611reeRes @t45) @t232) (_ (_ tptp.produc242091907reeRes @t102) @t192)))) % 0.44/0.87 (assume @p232 (forall (@list @t45 @t6 @t195) (= (_ (_ tptp.perm_n1467004033pi_Rep @t45) (_ (_ tptp.produc843063281pi_Rep @t6) @t195)) (_ (_ tptp.produc843063281pi_Rep @t102) @t197)))) % 0.44/0.87 (assume @p233 (forall (@list @t45 @t6 @t137) (= (_ (_ tptp.perm_n204483300t_name @t45) @t234) (_ (_ tptp.produc1647375838t_name @t102) @t201)))) % 0.44/0.87 (assume @p234 (forall (@list @t45 @t6 @t204) (= (_ (_ tptp.perm_n359102898ect_pi @t45) @t236) (_ (_ tptp.produc324947500ect_pi @t102) @t206)))) % 0.44/0.87 (assume @p235 (forall (@list @t45 @t16 @t186) (= (_ (_ tptp.perm_n1174226579ubject @t45) @t237) (_ (_ tptp.produc320590723ubject @t103) @t188)))) % 0.44/0.87 (assume @p236 (forall @t194 (= (_ (_ tptp.perm_n169932155reeRes @t45) @t238) (_ (_ tptp.produc1244821099reeRes @t103) @t192)))) % 0.44/0.87 (assume @p237 (forall (@list @t45 @t16 @t195) (= (_ (_ tptp.perm_n840427369pi_Rep @t45) (_ (_ tptp.produc216486617pi_Rep @t16) @t195)) (_ (_ tptp.produc216486617pi_Rep @t103) @t197)))) % 0.44/0.87 (assume @p238 (forall (@list @t45 @t16 @t137) (= (_ (_ tptp.perm_n258463228s_name @t45) @t239) (_ (_ tptp.produc1701355766s_name @t103) @t201)))) % 0.44/0.87 (assume @p239 (forall (@list @t45 @t16 @t204) (= (_ (_ tptp.perm_n1211707594Res_pi @t45) @t240) (_ (_ tptp.produc1177552196Res_pi @t103) @t206)))) % 0.44/0.87 (assume @p240 (forall (@list @t244 @t242) (not (= tptp.nil_Pr743626285e_name @t245)))) % 0.44/0.87 (assume @p241 (forall (@list @t472 @t244 @t242) (=> (= @t472 @t245) (not (= @t472 tptp.nil_Pr743626285e_name))))) % 0.44/0.87 (assume @p242 (forall (@list @t475) (=> (not (= @t475 tptp.nil_Pr743626285e_name)) (not (forall (@list @t474 @t473) (not (= @t475 (_ (_ tptp.cons_P1213805021e_name @t474) @t473)))))))) % 0.44/0.87 (assume @p243 (forall (@list @t442 @t472) (=> @t443 (=> (forall (@list @t477 @t476) (=> (_ @t442 @t476) (_ @t442 (_ (_ tptp.cons_P1213805021e_name @t477) @t476)))) (_ @t442 @t472))))) % 0.44/0.87 (assume @p244 (forall (@list @t439) (= (not (= @t439 tptp.nil_Pr743626285e_name)) (exists (@list @t479 @t478) (= @t439 (_ (_ tptp.cons_P1213805021e_name @t479) @t478)))))) % 0.44/0.87 (assume @p245 (forall (@list @t481 @t439 @t480) (=> (_ @t485 tptp.nil_Pr743626285e_name) (=> (forall (@list @t364 @t374) (_ @t482 tptp.nil_Pr743626285e_name)) (=> (forall (@list @t375 @t363) (_ @t485 @t385)) (=> (forall @t386 (=> (_ @t484 @t363) @t483)) (_ (_ @t481 @t439) @t480))))))) % 0.44/0.87 (assume @p246 (forall @t491 (=> @t490 (=> (forall @t382 (=> (_ (_ @t481 @t363) @t374) @t489)) @t488)))) % 0.44/0.87 (assume @p247 (forall (@list @t442 @t439) (=> @t443 (=> (forall @t494 (_ @t442 @t378)) (=> (forall (@list @t364 @t375 @t492) (=> (_ @t442 @t492) (=> (_ @t442 @t493) (_ @t442 (_ @t365 @t493))))) (_ @t442 @t439)))))) % 0.44/0.87 (assume @p248 (forall @t491 (=> @t490 (=> (forall @t387 (_ @t484 tptp.nil_Pr743626285e_name)) (=> (forall @t386 (=> (_ @t484 @t385) (=> @t489 @t483))) @t488))))) % 0.44/0.87 (assume @p249 (forall (@list @t496) (=> (not (= @t496 tptp.nil_li29751603e_name)) (=> (forall (@list @t495) (not (= @t496 (_ (_ tptp.cons_l798145763e_name tptp.nil_Pr743626285e_name) @t495)))) (not (forall (@list @t364 @t374 @t495) (not (= @t496 (_ (_ tptp.cons_l798145763e_name @t379) @t495))))))))) % 0.44/0.87 (assume @p250 (forall (@list @t497) (=> (not (= @t497 tptp.nil_Pr743626285e_name)) (=> (forall @t494 (not (= @t497 @t378))) (not (forall (@list @t364 @t375 @t374) (not (= @t497 @t377)))))))) % 0.44/0.87 (assume @p251 (forall (@list @t499 @t498 @t486) (=> (forall @t371 (_ @t500 tptp.nil_Pr743626285e_name)) (=> (forall @t370 (=> (_ @t500 @t363) (_ @t500 @t366))) (_ (_ @t499 @t498) @t486))))) % 0.44/0.87 (assume @p252 (_ (_ tptp.late_transitions (_ (_ tptp.par tptp.p) @t98)) (_ (_ tptp.late_FreeR tptp.alpha) tptp.pxQ))) % 0.44/0.87 (assume @p253 (forall (@list @t149 @t140 @t8 @t24) (=> @t471 (= @t502 (_ (_ @t501 @t149) (_ (_ tptp.perm_name_pi (_ (_ tptp.cons_P1213805021e_name (_ @t277 @t149)) tptp.nil_Pr743626285e_name)) @t140)))))) % 0.44/0.87 (assume @p254 (forall (@list @t8 @t7 @t45 @t24) (= (_ (_ tptp.perm_name_name (_ @t11 @t45)) @t24) (_ @t503 @t104)))) % 0.44/0.87 (assume @p255 (forall @t79 (= (= @t504 (_ tptp.late_InputS @t56)) @t58))) % 0.44/0.87 (assume @p256 (forall (@list @t508 @t506 @t507 @t505) (= (= (_ (_ tptp.late_r347633188eR_Rep @t508) @t506) (_ (_ tptp.late_r347633188eR_Rep @t507) @t505)) (and (= @t508 @t507) (= @t506 @t505))))) % 0.44/0.87 (assume @p257 (forall (@list @t8 @t261 @t48) (= (_ @t92 @t509) (and (_ @t92 @t261) @t290)))) % 0.44/0.87 (assume @p258 (forall (@list @t45 @t261 @t48) (= (_ @t49 @t509) (_ (_ tptp.par @t293) @t50)))) % 0.44/0.87 (assume @p259 (forall (@list @t45 @t510 @t57 @t261) (= (_ @t49 @t511) (_ (_ (_ tptp.input (_ @t73 @t510)) @t74) @t293)))) % 0.44/0.87 (assume @p260 (forall @t292 (= (_ @t85 @t504) @t291))) % 0.44/0.87 (assume @p261 (forall @t78 (= (_ @t77 @t504) (_ tptp.late_InputS @t74)))) % 0.44/0.87 (assume @p262 (forall (@list @t137 @t513 @t407 @t512) (=> @t518 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ @t296 (_ @t516 @t517))) (_ @t516 @t515))) tptp.rel)))) % 0.44/0.87 (assume @p263 (forall (@list @t137 @t513 @t512) (=> @t518 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ @t296 @t517)) @t515)) tptp.rel)))) % 0.44/0.87 (assume @p264 (forall (@list @t135 @t134 @t334 @t520 @t519) (not (= @t521 (_ (_ tptp.par @t520) @t519))))) % 0.44/0.87 (assume @p265 (forall (@list @t261 @t48 @t260 @t226) (= (= @t509 (_ (_ tptp.par @t260) @t226)) (and @t262 @t227)))) % 0.44/0.87 (assume @p266 (forall (@list @t525 @t524 @t522 @t332) (not (= (_ (_ tptp.par @t525) @t524) @t523)))) % 0.44/0.87 (assume @p267 (forall (@list @t24 @t8 @t140) (=> @t530 @t529))) % 0.44/0.87 (assume @p268 (forall (@list @t8 @t24 @t140) @t529)) % 0.44/0.87 (assume @p269 (forall (@list @t135 @t134 @t334 @t522 @t332) (not (= @t521 @t523)))) % 0.44/0.87 (assume @p270 (forall (@list @t335 @t522) (not (= (_ tptp.late_InputS @t335) (_ tptp.late_BoundOutputS @t522))))) % 0.44/0.87 (assume @p271 (forall (@list @t57 @t60) (not (= @t504 @t80)))) % 0.44/0.87 (assume @p272 (forall (@list @t531 @t336) (=> (forall @t532 (_ @t531 (_ tptp.late_InputS @t342))) (=> (forall @t532 (_ @t531 (_ tptp.late_BoundOutputS @t342))) (_ @t531 @t336))))) % 0.44/0.87 (assume @p273 (forall (@list @t186) (=> (forall (@list @t534) (not (= @t186 (_ tptp.late_InputS @t534)))) (not (forall (@list @t533) (not (= @t186 (_ tptp.late_BoundOutputS @t533)))))))) % 0.44/0.87 (assume @p274 (forall (@list @t538 @t142 @t535 @t140) (=> @t542 (_ @t540 (_ @t143 @t537))))) % 0.44/0.87 (assume @p275 (forall (@list @t140 @t142 @t136 @t538) (=> @t146 (_ @t540 (_ @t143 @t544))))) % 0.44/0.87 (assume @p276 (forall @t154 (and (=> @t152 (= @t545 @t7)) (=> @t153 (and (=> @t150 (= @t545 @t8)) (=> @t151 (= @t545 @t149))))))) % 0.44/0.87 (assume @p277 (forall (@list @t24 @t137 @t140 @t345) (not (_ (_ tptp.late_transitions (_ @t313 (_ (_ (_ tptp.input @t24) @t137) @t140))) @t345)))) % 0.44/0.87 (assume @p278 (forall (@list @t8 @t24 @t140 @t546 @t137 @t136) (=> (_ @t528 @t548) (not (_ @t85 @t546))))) % 0.44/0.87 (assume @p279 (forall (@list @t8 @t24 @t140 @t142 @t136) (not (_ @t528 @t144)))) % 0.44/0.87 (assume @p280 (forall @t551 (=> @t305 (=> @t550 @t549)))) % 0.44/0.87 (assume @p281 (forall @t554 (=> @t553 (=> @t309 @t552)))) % 0.44/0.87 (assume @p282 (forall (@list @t140 @t538 @t298 @t24 @t555 @t556) (=> (_ @t540 (_ @t300 @t555)) (=> @t309 (=> @t550 (=> (forall @t315 (=> @t418 (_ @t556 (_ @t558 @t538)))) (=> (forall (@list @t557) (=> (_ @t541 (_ @t300 @t557)) (_ @t556 (_ @t536 @t557)))) (_ @t556 @t555)))))))) % 0.44/0.87 (assume @p283 (forall (@list @t140 @t538 @t546 @t137 @t136) (=> (_ @t540 @t548) (=> (forall (@list @t321 @t346 @t347 @t312 @t559) (=> @t562 (=> (= @t548 (_ @t352 (_ @t558 @t559))) (=> @t353 @t560)))) (not (forall (@list @t559 @t346 @t347 @t557 @t321) (=> @t562 (=> (= @t548 (_ @t352 (_ @t561 @t557))) (=> (_ (_ tptp.late_transitions @t559) (_ @t352 @t557)) @t560))))))))) % 0.44/0.87 (assume @p284 (forall @t551 (=> @t305 (=> @t309 (=> @t550 (=> @t307 @t549)))))) % 0.44/0.87 (assume @p285 (forall @t554 (=> @t553 (=> @t309 (=> @t550 (=> @t307 @t552)))))) % 0.44/0.87 (assume @p286 (forall (@list @t24 @t8 @t137 @t140 @t142 @t136) (not (_ @t563 @t144)))) % 0.44/0.87 (assume @p287 (forall (@list @t8 @t24 @t140 @t7 @t137 @t136) (not (_ @t528 (_ (_ @t564 @t137) @t136))))) % 0.44/0.87 (assume @p288 (forall (@list @t8 @t24 @t140 @t546 @t137 @t415 @t565) (=> (_ @t528 (_ @t547 @t415)) (=> @t567 (=> @t303 (=> @t141 (=> (=> (= @t546 @t526) (=> (= @t415 @t566) (_ (_ (_ @t565 @t526) @t137) @t566))) (_ (_ (_ @t565 @t546) @t137) @t415)))))))) % 0.44/0.87 (assume @p289 (forall (@list @t24 @t8 @t137 @t140 @t7 @t407 @t136) (not (_ @t563 (_ (_ @t564 @t407) @t136))))) % 0.44/0.87 (assume @p290 (forall @t574 (=> @t573 (=> @t572 (=> @t141 @t570))))) % 0.44/0.87 (assume @p291 (forall @t580 (=> @t579 (=> @t578 (=> @t577 @t576))))) % 0.44/0.87 (assume @p292 (forall @t574 (=> @t573 (=> @t572 (=> @t309 (=> @t550 (=> @t141 (=> @t577 (=> @t530 (=> @t581 (=> @t567 (=> @t139 (=> @t421 @t570))))))))))))) % 0.44/0.87 (assume @p293 (_ tptp.eqvt_pi tptp.rel)) % 0.44/0.87 (assume @p294 (forall (@list @t140 @t8) (= (_ @t583 @t8) @t140))) % 0.44/0.87 (assume @p295 (forall (@list @t24 @t149 @t584 @t140) (=> (not (= @t24 @t149)) (=> (not (= @t24 @t584)) (= (_ (_ (_ tptp.subs @t316) @t149) @t584) (_ @t313 @t585)))))) % 0.44/0.87 (assume @p296 (forall (@list @t140 @t538 @t149 @t584) (= (_ (_ (_ tptp.subs @t539) @t149) @t584) (_ (_ tptp.par @t585) (_ (_ (_ tptp.subs @t538) @t149) @t584))))) % 0.44/0.87 (assume @p297 (forall (@list @t7 @t140 @t8 @t149) (=> @t587 (= (_ (_ (_ tptp.subs @t586) @t7) @t149) (_ @t583 @t149))))) % 0.44/0.87 (assume @p298 (forall (@list @t8 @t140 @t7) (=> @t588 (= @t586 @t140)))) % 0.44/0.87 (assume @p299 (forall (@list @t8 @t140 @t149 @t7) (=> @t588 (=> @t153 (_ @t92 (_ (_ @t582 @t7) @t149)))))) % 0.44/0.87 (assume @p300 (forall (@list @t8 @t7 @t140) (=> @t394 (_ @t92 @t586)))) % 0.44/0.87 (assume @p301 (forall @t591 (=> @t587 (= (_ (_ @t590 @t8) @t7) @t589)))) % 0.44/0.87 (assume @p302 (forall @t591 (=> @t587 (= @t331 @t589)))) % 0.44/0.87 (assume @p303 (forall (@list @t592 @t140 @t8 @t7) (= (_ @t594 @t586) (_ (_ (_ tptp.subs (_ @t594 @t140)) (_ @t593 @t8)) (_ @t593 @t7))))) % 0.44/0.87 (assume @p304 (forall (@list @t8 @t140 @t24) (= (_ (_ @t590 @t24) @t8) (_ @t313 (_ (_ tptp.perm_name_pi (_ (_ tptp.cons_P1213805021e_name (_ @t277 @t8)) tptp.nil_Pr743626285e_name)) @t140))))) % 0.44/0.87 (assume @p305 (forall (@list @t149 @t140 @t8 @t7) (=> @t471 (= @t586 (_ (_ (_ tptp.subs (_ (_ tptp.perm_name_pi (_ (_ tptp.cons_P1213805021e_name (_ (_ tptp.produc1570949143e_name @t149) @t8)) tptp.nil_Pr743626285e_name)) @t140)) @t149) @t7))))) % 0.44/0.87 (assume @p306 (forall @t591 (=> @t587 (= (_ @t29 @t140) @t586)))) % 0.44/0.87 (assume @p307 (forall @t597 (=> @t573 (=> @t596 @t595)))) % 0.44/0.87 (assume @p308 (forall @t599 (=> @t396 (=> @t578 @t598)))) % 0.44/0.87 (assume @p309 (forall @t599 (=> @t396 (=> @t578 (=> @t309 (=> @t550 (=> @t530 (=> @t601 (=> @t600 @t598))))))))) % 0.44/0.87 (assume @p310 (forall @t597 (=> @t573 (=> @t596 (=> @t309 (=> @t550 (=> @t530 (=> @t601 (=> @t581 @t595))))))))) % 0.44/0.87 (assume @p311 (forall @t580 (=> @t579 (=> @t578 (=> @t309 (=> @t550 (=> @t141 (=> @t577 (=> @t530 (=> @t600 (=> @t567 (=> (_ @t138 @t535) (=> @t421 @t576))))))))))))) % 0.44/0.87 (assume @p312 (= tptp.swap_name2 tptp.swap_name)) % 0.44/0.87 (assume @p313 (forall @t154 (and (=> @t152 (= @t602 @t7)) (=> @t153 (and (=> @t150 (= @t602 @t8)) (=> @t151 (= @t602 @t149))))))) % 0.44/0.87 (assume @p314 (forall (@list @t440 @t439 @t8) (= (_ (_ tptp.name_prm_name @t441) @t8) (_ (_ tptp.swap_name @t440) (_ (_ tptp.name_prm_name @t439) @t8))))) % 0.44/0.87 (assume @p315 (forall (@list @t140 @t603 @t538 @t142 @t535) (=> @t604 (=> @t542 (exists @t315 (and @t314 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t312) @t535)) @t603))))))) % 0.44/0.87 (assume @p316 (forall (@list @t140 @t603 @t538 @t298 @t24 @t535) (=> @t604 (=> @t553 (=> @t309 (exists @t315 (and @t418 (_ (_ (_ (_ (_ tptp.strong2129052853vative @t312) @t535) @t298) @t24) @t603)))))))) % 0.44/0.87 (assume @p317 (forall (@list @t538 @t140 @t603) (=> (forall (@list @t346 @t319 @t557) (=> (_ @t541 (_ @t607 @t557)) (=> (_ (_ tptp.fresh_name_pi @t319) @t140) (exists @t606 (and (_ @t145 (_ @t607 @t605)) (_ (_ (_ (_ (_ tptp.strong2129052853vative @t605) @t557) @t346) @t319) @t603)))))) (=> (forall (@list @t318 @t557) (=> (_ @t541 (_ @t320 @t557)) (exists @t606 (and (_ @t145 (_ @t320 @t605)) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t605) @t557)) @t603))))) @t604)))) % 0.44/0.87 (assume @p318 (forall @t289 (= (_ (_ tptp.name_prm_name tptp.nil_Pr743626285e_name) @t8) @t8))) % 0.44/0.87 (assume @p319 (forall @t614 (=> @t613 (=> @t612 (_ (_ (_ @t611 @t298) @t609) @t603))))) % 0.44/0.87 (assume @p320 (= tptp.perm_name_name tptp.name_prm_name)) % 0.44/0.87 (assume @p321 (forall (@list @t603 @t140 @t538) (=> (forall (@list @t619 @t616) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ (_ tptp.par @t619) @t616)) (_ @t620 @t619))) @t603)) (=> (forall (@list @t619 @t616 @t347) (=> (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t619) @t616)) @t603) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ @t617 @t619)) @t618)) @t603))) (_ (_ (_ tptp.strong743114133lation @t539) @t603) (_ @t615 @t140)))))) % 0.44/0.87 (assume @p322 (forall (@list @t603 @t140 @t538 @t513) (=> (forall (@list @t616 @t622 @t621) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t627) @t624)) @t603)) (=> (forall (@list @t616 @t622 @t347) (=> (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t616) @t622)) @t603) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t618) (_ @t617 @t622))) @t603))) (=> (forall @t626 (=> (_ @t349 @t616) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ @t617 @t627)) (_ @t620 (_ @t617 @t623)))) @t603))) (=> (forall @t626 (=> (_ @t349 @t621) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ (_ tptp.par (_ @t617 @t625)) @t621)) (_ @t617 @t624))) @t603))) (_ (_ (_ tptp.strong743114133lation (_ (_ tptp.par @t539) @t513)) @t603) (_ @t536 (_ @t615 @t513))))))))) % 0.44/0.87 (assume @p323 (forall @t614 (=> @t613 (=> @t612 (_ (_ (_ @t611 (_ (_ tptp.perm_n1559866809ubject @t608) @t298)) @t609) @t603))))) % 0.44/0.87 (assume @p324 (forall (@list @t8 @t57 @t261) (= (_ @t92 @t294) @t628))) % 0.44/0.87 (assume @p325 (forall (@list @t8 @t510 @t57 @t261) (= (_ @t92 @t511) (and (_ @t89 @t510) @t628)))) % 0.44/0.87 (assume @p326 (forall @t629 (= (_ (_ (_ tptp.if_pi false) @t28) @t204) @t204))) % 0.44/0.87 (assume @p327 (forall @t629 (= (_ (_ (_ tptp.if_pi true) @t28) @t204) @t28))) % 0.44/0.87 (assume @p328 (forall @t630 (= (_ (_ (_ tptp.if_name false) @t24) @t137) @t137))) % 0.44/0.87 (assume @p329 (forall @t630 (= (_ (_ (_ tptp.if_name true) @t24) @t137) @t24))) % 0.44/0.87 (assume @p330 (forall @t631 (= (_ (_ (_ tptp.if_pi_Rep false) @t20) @t195) @t195))) % 0.44/0.87 (assume @p331 (forall @t631 (= (_ (_ (_ tptp.if_pi_Rep true) @t20) @t195) @t20))) % 0.44/0.87 (assume @p332 (forall @t632 (= (_ (_ (_ tptp.if_Late_freeRes false) @t16) @t127) @t127))) % 0.44/0.87 (assume @p333 (forall @t632 (= (_ (_ (_ tptp.if_Late_freeRes true) @t16) @t127) @t16))) % 0.44/0.87 (assume @p334 (forall (@list @t633) (or (= @t633 true) (= @t633 false)))) % 0.44/0.87 (assume @p335 (forall @t634 (= (_ (_ (_ tptp.if_Late_subject false) @t6) @t186) @t186))) % 0.44/0.87 (assume @p336 (forall @t634 (= (_ (_ (_ tptp.if_Late_subject true) @t6) @t186) @t6))) % 0.44/0.87 (assume @p337 @t640) % 0.44/0.87 (assume @p338 true) % 0.44/0.87 (step @p339 (= tptp.fresh_name_name @t643) :rule refl :args (@t643)) % 0.44/0.87 (step @p340 (= tptp.strong743114133lation @t657) :rule refl :args (@t657)) % 0.44/0.87 (step @p341 :rule refl :args ((tptp.late_transitions @t50 @t47))) % 0.44/0.87 (step @p342 :rule refl :args (@t658)) % 0.44/0.87 (step @p343 :rule refl :args (@t659)) % 0.44/0.87 (step @p344 :rule cong :premises (@p343 @p342) :args (@t660)) % 0.44/0.87 (step @p345 :rule trans :premises (@p344 @p341)) % 0.44/0.87 (step @p346 :rule refl :args (tptp.late_transitions)) % 0.44/0.87 (step @p347 :rule ho_cong :premises (@p346 @p343)) % 0.44/0.87 (step @p348 :rule ho_cong :premises (@p347 @p342)) % 0.44/0.87 (step @p349 :rule cong :premises (@p348 @p345) :args ((= (_ (_ tptp.late_transitions @t659) @t658) @t660))) % 0.44/0.87 (step @p350 :rule symm :premises (@p349)) % 0.44/0.87 (step @p351 :rule refl :args (@t51)) % 0.44/0.87 (step @p352 :rule eq_resolve :premises (@p351 @p350)) % 0.44/0.87 (step @p353 :rule refl :args (@t47)) % 0.44/0.87 (step @p354 :rule cong :premises (@p353 @p342) :args ((= @t47 @t658))) % 0.44/0.87 (step @p355 :rule symm :premises (@p354)) % 0.44/0.87 (step @p356 :rule eq_resolve :premises (@p353 @p355)) % 0.44/0.87 (step @p357 :rule refl :args (@t50)) % 0.44/0.87 (step @p358 :rule cong :premises (@p357 @p343) :args ((= @t50 @t659))) % 0.44/0.87 (step @p359 :rule symm :premises (@p358)) % 0.44/0.87 (step @p360 :rule eq_resolve :premises (@p357 @p359)) % 0.44/0.87 (step @p361 :rule ho_cong :premises (@p346 @p360)) % 0.44/0.87 (step @p362 :rule ho_cong :premises (@p361 @p356)) % 0.44/0.87 (step @p363 :rule trans :premises (@p362 @p352)) % 0.44/0.87 (step @p364 :rule refl :args (@t661)) % 0.44/0.87 (step @p365 :rule refl :args (@t52)) % 0.44/0.87 (step @p366 :rule cong :premises (@p365 @p364) :args ((= @t52 @t661))) % 0.44/0.87 (step @p367 :rule symm :premises (@p366)) % 0.44/0.87 (step @p368 :rule eq_resolve :premises (@p365 @p367)) % 0.44/0.87 (step @p369 :rule cong :premises (@p368) :args (@t662)) % 0.44/0.87 (step @p370 :rule nary_cong :premises (@p369 @p363) :args (@t663)) % 0.44/0.87 (step @p371 :rule cong :premises (@p370) :args ((forall @t53 @t663))) % 0.44/0.87 (step @p372 :rule bool-impl-elim :args (@t52 @t51)) % 0.44/0.87 (step @p373 :rule cong :premises (@p372) :args (@t54)) % 0.44/0.87 (step @p374 :rule trans :premises (@p373 @p371)) % 0.44/0.87 (step @p375 :rule eq_resolve :premises (@p37 @p374)) % 0.44/0.87 (step @p376 :rule refl :args ((tptp.late_transitions tptp.q @t2))) % 0.44/0.87 (step @p377 :rule refl :args ((tptp.late_FreeR @t1 tptp.q_a))) % 0.44/0.87 (step @p378 :rule refl :args (tptp.q_a)) % 0.44/0.87 (step @p379 :rule refl :args (@t664)) % 0.44/0.87 (step @p380 :rule cong :premises (@p379 @p378) :args (@t665)) % 0.44/0.87 (step @p381 :rule trans :premises (@p380 @p377)) % 0.44/0.87 (step @p382 :rule refl :args (tptp.q)) % 0.44/0.87 (step @p383 :rule cong :premises (@p382 @p381) :args (@t666)) % 0.44/0.87 (step @p384 :rule trans :premises (@p383 @p376)) % 0.44/0.87 (step @p385 :rule refl :args (@t3)) % 0.44/0.87 (step @p386 :rule ho_cong :premises (@p385 @p381)) % 0.44/0.87 (step @p387 :rule cong :premises (@p386 @p384) :args ((= (_ @t3 @t665) @t666))) % 0.44/0.87 (step @p388 :rule symm :premises (@p387)) % 0.44/0.87 (step @p389 :rule refl :args (@t4)) % 0.44/0.87 (step @p390 :rule eq_resolve :premises (@p389 @p388)) % 0.44/0.87 (step @p391 :rule refl :args (tptp.late_FreeR)) % 0.44/0.87 (step @p392 :rule ho_cong :premises (@p391 @p379)) % 0.44/0.87 (step @p393 :rule ho_cong :premises (@p392 @p378)) % 0.44/0.87 (step @p394 :rule cong :premises (@p393 @p381) :args ((= (_ (_ tptp.late_FreeR @t664) tptp.q_a) @t665))) % 0.44/0.87 (step @p395 :rule symm :premises (@p394)) % 0.44/0.87 (step @p396 :rule refl :args (@t2)) % 0.44/0.87 (step @p397 :rule eq_resolve :premises (@p396 @p395)) % 0.44/0.87 (step @p398 :rule refl :args (tptp.q_a)) % 0.44/0.87 (step @p399 :rule refl :args (@t1)) % 0.44/0.87 (step @p400 :rule cong :premises (@p399 @p379) :args ((= @t1 @t664))) % 0.44/0.87 (step @p401 :rule symm :premises (@p400)) % 0.44/0.87 (step @p402 :rule eq_resolve :premises (@p399 @p401)) % 0.44/0.87 (step @p403 :rule refl :args (tptp.late_FreeR)) % 0.44/0.87 (step @p404 :rule ho_cong :premises (@p403 @p402)) % 0.44/0.87 (step @p405 :rule ho_cong :premises (@p404 @p398)) % 0.44/0.87 (step @p406 :rule trans :premises (@p405 @p397)) % 0.44/0.87 (step @p407 :rule refl :args (@t3)) % 0.44/0.87 (step @p408 :rule ho_cong :premises (@p407 @p406)) % 0.44/0.87 (step @p409 :rule trans :premises (@p408 @p390)) % 0.44/0.87 (step @p410 :rule eq_resolve :premises (@p7 @p409)) % 0.44/0.87 (step @p411 :rule refl :args ((tptp.late_transitions @t638 @t667))) % 0.44/0.87 (step @p412 :rule refl :args ((tptp.perm_n414416632sidual @t636 @t2))) % 0.44/0.87 (step @p413 :rule refl :args ((tptp.cons_P1213805021e_name @t635 tptp.nil_Pr743626285e_name))) % 0.44/0.87 (step @p414 :rule refl :args (tptp.nil_Pr743626285e_name)) % 0.44/0.87 (step @p415 :rule refl :args (@t668)) % 0.44/0.87 (step @p416 :rule cong :premises (@p415 @p414) :args (@t669)) % 0.44/0.87 (step @p417 :rule trans :premises (@p416 @p413)) % 0.44/0.87 (step @p418 :rule cong :premises (@p417 @p381) :args (@t670)) % 0.44/0.87 (step @p419 :rule trans :premises (@p418 @p412)) % 0.44/0.87 (step @p420 :rule refl :args ((tptp.perm_name_pi @t636 tptp.q))) % 0.44/0.87 (step @p421 :rule cong :premises (@p417 @p382) :args (@t671)) % 0.44/0.87 (step @p422 :rule trans :premises (@p421 @p420)) % 0.44/0.87 (step @p423 :rule cong :premises (@p422 @p419) :args (@t672)) % 0.44/0.87 (step @p424 :rule trans :premises (@p423 @p411)) % 0.44/0.87 (step @p425 :rule ho_cong :premises (@p346 @p422)) % 0.44/0.87 (step @p426 :rule ho_cong :premises (@p425 @p419)) % 0.44/0.87 (step @p427 :rule cong :premises (@p426 @p424) :args ((= (_ (_ tptp.late_transitions @t671) @t670) @t672))) % 0.44/0.87 (step @p428 :rule symm :premises (@p427)) % 0.44/0.87 (step @p429 :rule refl :args (@t673)) % 0.44/0.87 (step @p430 :rule eq_resolve :premises (@p429 @p428)) % 0.44/0.87 (step @p431 :rule refl :args (tptp.perm_n414416632sidual)) % 0.44/0.87 (step @p432 :rule ho_cong :premises (@p431 @p417)) % 0.44/0.87 (step @p433 :rule ho_cong :premises (@p432 @p381)) % 0.44/0.87 (step @p434 :rule cong :premises (@p433 @p419) :args ((= (_ (_ tptp.perm_n414416632sidual @t669) @t665) @t670))) % 0.44/0.87 (step @p435 :rule symm :premises (@p434)) % 0.44/0.87 (step @p436 :rule refl :args (@t667)) % 0.44/0.87 (step @p437 :rule eq_resolve :premises (@p436 @p435)) % 0.44/0.87 (step @p438 :rule refl :args (tptp.cons_P1213805021e_name)) % 0.44/0.87 (step @p439 :rule ho_cong :premises (@p438 @p415)) % 0.44/0.87 (step @p440 :rule ho_cong :premises (@p439 @p414)) % 0.44/0.87 (step @p441 :rule cong :premises (@p440 @p417) :args ((= (_ (_ tptp.cons_P1213805021e_name @t668) tptp.nil_Pr743626285e_name) @t669))) % 0.44/0.87 (step @p442 :rule symm :premises (@p441)) % 0.44/0.87 (step @p443 :rule refl :args (@t636)) % 0.44/0.87 (step @p444 :rule eq_resolve :premises (@p443 @p442)) % 0.44/0.87 (step @p445 :rule refl :args (tptp.nil_Pr743626285e_name)) % 0.44/0.87 (step @p446 :rule refl :args (@t635)) % 0.44/0.87 (step @p447 :rule cong :premises (@p446 @p415) :args ((= @t635 @t668))) % 0.44/0.87 (step @p448 :rule symm :premises (@p447)) % 0.44/0.87 (step @p449 :rule eq_resolve :premises (@p446 @p448)) % 0.44/0.87 (step @p450 :rule refl :args (tptp.cons_P1213805021e_name)) % 0.44/0.87 (step @p451 :rule ho_cong :premises (@p450 @p449)) % 0.44/0.87 (step @p452 :rule ho_cong :premises (@p451 @p445)) % 0.44/0.87 (step @p453 :rule trans :premises (@p452 @p444)) % 0.44/0.87 (step @p454 :rule refl :args (tptp.perm_n414416632sidual)) % 0.44/0.87 (step @p455 :rule ho_cong :premises (@p454 @p453)) % 0.44/0.87 (step @p456 :rule ho_cong :premises (@p455 @p406)) % 0.44/0.87 (step @p457 :rule trans :premises (@p456 @p437)) % 0.44/0.87 (step @p458 :rule refl :args (tptp.perm_name_pi)) % 0.44/0.87 (step @p459 :rule ho_cong :premises (@p458 @p417)) % 0.44/0.87 (step @p460 :rule ho_cong :premises (@p459 @p382)) % 0.44/0.87 (step @p461 :rule cong :premises (@p460 @p422) :args ((= (_ (_ tptp.perm_name_pi @t669) tptp.q) @t671))) % 0.44/0.87 (step @p462 :rule symm :premises (@p461)) % 0.44/0.87 (step @p463 :rule refl :args (@t638)) % 0.44/0.87 (step @p464 :rule eq_resolve :premises (@p463 @p462)) % 0.44/0.87 (step @p465 :rule refl :args (tptp.q)) % 0.44/0.87 (step @p466 :rule refl :args (tptp.perm_name_pi)) % 0.44/0.87 (step @p467 :rule ho_cong :premises (@p466 @p453)) % 0.44/0.87 (step @p468 :rule ho_cong :premises (@p467 @p465)) % 0.44/0.87 (step @p469 :rule trans :premises (@p468 @p464)) % 0.44/0.87 (step @p470 :rule refl :args (tptp.late_transitions)) % 0.44/0.87 (step @p471 :rule ho_cong :premises (@p470 @p469)) % 0.44/0.87 (step @p472 :rule ho_cong :premises (@p471 @p457)) % 0.44/0.87 (step @p473 :rule trans :premises (@p472 @p430)) % 0.44/0.87 (step @p474 :rule cong :premises (@p473) :args ((not @t673))) % 0.44/0.87 (step @p475 :rule refl :args (tptp.x)) % 0.44/0.87 (step @p476 :rule refl :args (tptp.late_OutputR)) % 0.44/0.87 (step @p477 :rule ho_cong :premises (@p476 @p1)) % 0.44/0.87 (step @p478 :rule ho_cong :premises (@p477 @p475)) % 0.44/0.87 (step @p479 :rule ho_cong :premises (@p403 @p478)) % 0.44/0.87 (step @p480 :rule ho_cong :premises (@p479 @p398)) % 0.44/0.87 (step @p481 :rule refl :args (@t637)) % 0.44/0.87 (step @p482 :rule ho_cong :premises (@p481 @p480)) % 0.44/0.87 (step @p483 :rule refl :args (@t639)) % 0.44/0.87 (step @p484 :rule ho_cong :premises (@p483 @p482)) % 0.44/0.87 (step @p485 :rule cong :premises (@p484) :args (@t640)) % 0.44/0.87 (step @p486 :rule trans :premises (@p485 @p474)) % 0.44/0.87 (step @p487 :rule eq_resolve :premises (@p337 @p486)) % 0.44/0.87 (step @p488 :rule cnf_or_pos :args (@t675)) % 0.44/0.87 (step @p489 :rule reordering :premises (@p488) :args ((or @t672 @t674 @t676))) % 0.44/0.87 (step @p490 :rule chain_m_resolution :premises (@p489 @p487 @p410) :args (@t676 @t677 (@list @t672 @t666))) % 0.44/0.87 (assume-push @p497 @t678) % 0.44/0.87 (step @p492 :rule instantiate :premises (@p375) :args ((@list tptp.q @t665 @t669))) % 0.44/0.87 (step-pop @p498 :rule scope :premises (@p492)) % 0.44/0.87 (step @p493 :rule process_scope :premises (@p498) :args (@t675)) % 0.44/0.87 (step @p495 :rule implies_elim :premises (@p493)) % 0.44/0.87 (step @p496 false :rule chain_m_resolution :premises (@p495 @p490 @p375) :args (false @t677 (@list @t675 @t678))) % 0.44/0.87 ) % 0.44/0.87 % SZS output end Proof % 0.44/0.87 % cvc5 exiting %------------------------------------------------------------------------------