%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP183^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:25:18 AM UTC 2026 % Result : Theorem 0.48s 0.92s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ITP183^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n010.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 04:17:40 EDT 2026 % 0.17/0.35 % CPUTime : % 0.48/0.63 %----Proving TH0 % 0.48/0.92 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.48/0.92 % SZS status Theorem % 0.48/0.92 % SZS output start Proof % 0.48/0.92 ( % 0.48/0.92 (declare-sort tptp.name 0) % 0.48/0.92 (declare-sort tptp.noption_name 0) % 0.48/0.92 (declare-sort tptp.noption_Late_freeRes 0) % 0.48/0.92 (declare-sort tptp.late_freeRes 0) % 0.48/0.92 (declare-sort tptp.late_subject 0) % 0.48/0.92 (declare-sort tptp.noption_Late_subject 0) % 0.48/0.92 (declare-sort tptp.pi 0) % 0.48/0.92 (declare-sort tptp.noption_pi 0) % 0.48/0.92 (declare-sort tptp.produc629157763_pi_pi 0) % 0.48/0.92 (declare-sort tptp.produc1834551554reeRes 0) % 0.48/0.92 (declare-sort tptp.product_prod_pi_pi 0) % 0.48/0.92 (declare-sort tptp.produc1462499409ion_pi 0) % 0.48/0.92 (declare-sort tptp.produc405342261i_name 0) % 0.48/0.92 (declare-sort tptp.produc691362330ubject 0) % 0.48/0.92 (declare-sort tptp.produc2008547984reeRes 0) % 0.48/0.92 (declare-sort tptp.produc865358760ubject 0) % 0.48/0.92 (declare-sort tptp.set_Pr1569510577ion_pi 0) % 0.48/0.92 (declare-sort tptp.set_Pr1294453099i_name 0) % 0.48/0.92 (declare-sort tptp.set_Pr248416762ubject 0) % 0.48/0.92 (declare-sort tptp.set_Pr305743074reeRes 0) % 0.48/0.92 (declare-sort tptp.set_Pr1834926343_pi_pi 0) % 0.48/0.93 (declare-sort tptp.late_residual 0) % 0.48/0.93 (declare-sort tptp.produc140253050ect_pi 0) % 0.48/0.93 (declare-sort tptp.produc1998742700t_name 0) % 0.48/0.93 (declare-sort tptp.set_Pr1694908217_pi_pi 0) % 0.48/0.93 (declare-sort tptp.produc355105483reeRes 0) % 0.48/0.93 (declare-sort tptp.produc1359399907ubject 0) % 0.48/0.93 (declare-sort tptp.produc214645451ubject 0) % 0.48/0.93 (declare-sort tptp.produc2052722628s_name 0) % 0.48/0.93 (declare-sort tptp.produc992857746Res_pi 0) % 0.48/0.93 (declare-sort tptp.produc1357834675reeRes 0) % 0.48/0.93 (declare-const tptp.member558706512_pi_pi (-> tptp.product_prod_pi_pi tptp.set_Pr1834926343_pi_pi Bool)) % 0.48/0.93 (declare-const tptp.product_Pair_pi_pi (-> tptp.pi tptp.pi tptp.product_prod_pi_pi)) % 0.48/0.93 (declare-const tptp.late_FreeR (-> tptp.late_freeRes tptp.pi tptp.late_residual)) % 0.48/0.93 (declare-const tptp.late_transitions (-> tptp.pi tptp.late_residual Bool)) % 0.48/0.93 (declare-const tptp.strong2129052853vative (-> tptp.pi tptp.pi tptp.late_subject tptp.name tptp.set_Pr1834926343_pi_pi Bool)) % 0.48/0.93 (declare-const tptp.fresh_name_pi (-> tptp.name tptp.pi Bool)) % 0.48/0.93 (declare-const tptp.late_BoundR (-> tptp.late_subject tptp.name tptp.pi tptp.late_residual)) % 0.48/0.93 (declare-const tptp.fresh_1093033124n_name (-> tptp.name (-> tptp.name tptp.noption_name) Bool)) % 0.48/0.93 (declare-const tptp.abs_fun_name_name (-> tptp.name tptp.name tptp.name tptp.noption_name)) % 0.48/0.93 (declare-const tptp.fresh_785364841reeRes (-> tptp.name (-> tptp.name tptp.noption_Late_freeRes) Bool)) % 0.48/0.93 (declare-const tptp.fresh_728038529ubject (-> tptp.name (-> tptp.name tptp.noption_Late_subject) Bool)) % 0.48/0.93 (declare-const tptp.fresh_1627595501_pi_pi (-> tptp.name tptp.product_prod_pi_pi Bool)) % 0.48/0.93 (declare-const tptp.fresh_225680151ion_pi (-> tptp.name tptp.produc1462499409ion_pi Bool)) % 0.48/0.93 (declare-const tptp.fresh_543891186ion_pi (-> tptp.name (-> tptp.name tptp.noption_pi) Bool)) % 0.48/0.93 (declare-const tptp.fresh_253309757_pi_pi (-> tptp.name tptp.produc629157763_pi_pi Bool)) % 0.48/0.93 (declare-const tptp.fresh_453496559i_name (-> tptp.name tptp.produc405342261i_name Bool)) % 0.48/0.93 (declare-const tptp.fresh_1711070152reeRes (-> tptp.name tptp.produc1834551554reeRes Bool)) % 0.48/0.93 (declare-const tptp.fresh_567880928ubject (-> tptp.name tptp.produc691362330ubject Bool)) % 0.48/0.93 (declare-const tptp.fresh_1963366730reeRes (-> tptp.name tptp.produc2008547984reeRes Bool)) % 0.48/0.93 (declare-const tptp.produc1531804426reeRes (-> tptp.name tptp.late_freeRes tptp.produc2008547984reeRes)) % 0.48/0.93 (declare-const tptp.fresh_820177506ubject (-> tptp.name tptp.produc865358760ubject Bool)) % 0.48/0.93 (declare-const tptp.produc607574050ubject (-> tptp.name tptp.late_subject tptp.produc865358760ubject)) % 0.48/0.93 (declare-const tptp.fresh_81631222sidual (-> tptp.name tptp.late_residual Bool)) % 0.48/0.93 (declare-const tptp.par (-> tptp.pi tptp.pi tptp.pi)) % 0.48/0.93 (declare-const tptp.produc320590723ubject (-> tptp.late_freeRes tptp.late_subject tptp.produc214645451ubject)) % 0.48/0.93 (declare-const tptp.output (-> tptp.name tptp.name tptp.pi tptp.pi)) % 0.48/0.93 (declare-const tptp.produc1244821099reeRes (-> tptp.late_freeRes tptp.late_freeRes tptp.produc1357834675reeRes)) % 0.48/0.93 (declare-const tptp.id_name_noption_pi tptp.set_Pr1569510577ion_pi) % 0.48/0.93 (declare-const tptp.late_TauR tptp.late_freeRes) % 0.48/0.93 (declare-const tptp.fresh_1847501388Res_pi (-> tptp.name tptp.produc992857746Res_pi Bool)) % 0.48/0.93 (declare-const tptp.fresh_994896692ect_pi (-> tptp.name tptp.produc140253050ect_pi Bool)) % 0.48/0.93 (declare-const tptp.fresh_717452603ubject (-> tptp.name tptp.late_subject Bool)) % 0.48/0.93 (declare-const tptp.late_OutputR (-> tptp.name tptp.name tptp.late_freeRes)) % 0.48/0.93 (declare-const tptp.abs_fu1904601852ubject (-> tptp.name tptp.late_subject tptp.name tptp.noption_Late_subject)) % 0.48/0.93 (declare-const tptp.alpha tptp.late_freeRes) % 0.48/0.93 (declare-const tptp.produc1342893193ion_pi (-> (-> tptp.name tptp.noption_pi) (-> tptp.name tptp.noption_pi) tptp.produc1462499409ion_pi)) % 0.48/0.93 (declare-const tptp.x tptp.name) % 0.48/0.93 (declare-const tptp.late_BoundOutputS (-> tptp.name tptp.late_subject)) % 0.48/0.93 (declare-const tptp.fresh_1953561446t_name (-> tptp.name tptp.produc1998742700t_name Bool)) % 0.48/0.93 (declare-const tptp.tau (-> tptp.pi tptp.pi)) % 0.48/0.93 (declare-const tptp.collec1051790738_pi_pi (-> (-> tptp.product_prod_pi_pi Bool) tptp.set_Pr1834926343_pi_pi)) % 0.48/0.93 (declare-const tptp.fresh_1498103185ubject (-> tptp.name tptp.produc214645451ubject Bool)) % 0.48/0.93 (declare-const tptp.fresh_1641682979reeRes (-> tptp.name tptp.late_freeRes Bool)) % 0.48/0.93 (declare-const tptp.p tptp.pi) % 0.48/0.93 (declare-const tptp.rel tptp.set_Pr1834926343_pi_pi) % 0.48/0.93 (declare-const tptp.subs (-> tptp.pi tptp.name tptp.name tptp.pi)) % 0.48/0.93 (declare-const tptp.produc1465345179ubject (-> tptp.late_subject tptp.late_subject tptp.produc1359399907ubject)) % 0.48/0.93 (declare-const tptp.abs_fu681348580reeRes (-> tptp.name tptp.late_freeRes tptp.name tptp.noption_Late_freeRes)) % 0.48/0.93 (declare-const tptp.q2 tptp.pi) % 0.48/0.93 (declare-const tptp.q tptp.pi) % 0.48/0.93 (declare-const tptp.input (-> tptp.name tptp.name tptp.pi tptp.pi)) % 0.48/0.93 (declare-const tptp.produc1177552196Res_pi (-> tptp.late_freeRes tptp.pi tptp.produc992857746Res_pi)) % 0.48/0.93 (declare-const tptp.sum (-> tptp.pi tptp.pi tptp.pi)) % 0.48/0.93 (declare-const tptp.produc324947500ect_pi (-> tptp.late_subject tptp.pi tptp.produc140253050ect_pi)) % 0.48/0.93 (declare-const tptp.abs_fun_name_pi (-> tptp.name tptp.pi tptp.name tptp.noption_pi)) % 0.48/0.93 (declare-const tptp.pq tptp.pi) % 0.48/0.93 (declare-const tptp.ord_le1705144730ubject (-> tptp.set_Pr248416762ubject tptp.set_Pr248416762ubject Bool)) % 0.48/0.93 (declare-const tptp.id_pi tptp.set_Pr1834926343_pi_pi) % 0.48/0.93 (declare-const tptp.res (-> tptp.name tptp.pi tptp.pi)) % 0.48/0.93 (declare-const tptp.eqvt_pi (-> tptp.set_Pr1834926343_pi_pi Bool)) % 0.48/0.93 (declare-const tptp.piNil tptp.pi) % 0.48/0.93 (declare-const tptp.member1632198138ion_pi (-> tptp.produc1462499409ion_pi tptp.set_Pr1569510577ion_pi Bool)) % 0.48/0.93 (declare-const tptp.fresh_1638563217reeRes (-> tptp.name tptp.produc355105483reeRes Bool)) % 0.48/0.93 (declare-const tptp.produc581368530ubject (-> (-> tptp.name tptp.noption_pi) tptp.late_subject tptp.produc691362330ubject)) % 0.48/0.93 (declare-const tptp.member938018755ubject (-> tptp.produc691362330ubject tptp.set_Pr248416762ubject Bool)) % 0.48/0.93 (declare-const tptp.ord_le1854926745_pi_pi (-> tptp.set_Pr1694908217_pi_pi tptp.set_Pr1694908217_pi_pi Bool)) % 0.48/0.93 (declare-const tptp.ord_le1762471042reeRes (-> tptp.set_Pr305743074reeRes tptp.set_Pr305743074reeRes Bool)) % 0.48/0.93 (declare-const tptp.produc1505598906reeRes (-> (-> tptp.name tptp.noption_pi) tptp.late_freeRes tptp.produc1834551554reeRes)) % 0.48/0.93 (declare-const tptp.late_InputS (-> tptp.name tptp.late_subject)) % 0.48/0.93 (declare-const tptp.member2081207979reeRes (-> tptp.produc1834551554reeRes tptp.set_Pr305743074reeRes Bool)) % 0.48/0.93 (declare-const tptp.ord_le2082425291i_name (-> tptp.set_Pr1294453099i_name tptp.set_Pr1294453099i_name Bool)) % 0.48/0.93 (declare-const tptp.produc540578151i_name (-> (-> tptp.name tptp.noption_pi) tptp.name tptp.produc405342261i_name)) % 0.48/0.93 (declare-const tptp.member1353687244i_name (-> tptp.produc405342261i_name tptp.set_Pr1294453099i_name Bool)) % 0.48/0.93 (declare-const tptp.fresh_495373993ubject (-> tptp.name tptp.produc1359399907ubject Bool)) % 0.48/0.93 (declare-const tptp.produc1820286517_pi_pi (-> (-> tptp.name tptp.noption_pi) tptp.pi tptp.produc629157763_pi_pi)) % 0.48/0.93 (declare-const tptp.member772629402_pi_pi (-> tptp.produc629157763_pi_pi tptp.set_Pr1694908217_pi_pi Bool)) % 0.48/0.93 (declare-const tptp.ord_le1032043601ion_pi (-> tptp.set_Pr1569510577ion_pi tptp.set_Pr1569510577ion_pi Bool)) % 0.48/0.93 (declare-const tptp.mismatch (-> tptp.name tptp.name tptp.pi tptp.pi)) % 0.48/0.93 (declare-const tptp.produc242091907reeRes (-> tptp.late_subject tptp.late_freeRes tptp.produc355105483reeRes)) % 0.48/0.93 (declare-const tptp.produc1647375838t_name (-> tptp.late_subject tptp.name tptp.produc1998742700t_name)) % 0.48/0.93 (declare-const tptp.fresh_493808761reeRes (-> tptp.name tptp.produc1357834675reeRes Bool)) % 0.48/0.93 (declare-const tptp.produc1701355766s_name (-> tptp.late_freeRes tptp.name tptp.produc2052722628s_name)) % 0.48/0.93 (declare-const tptp.fresh_2007541374s_name (-> tptp.name tptp.produc2052722628s_name Bool)) % 0.48/0.93 (define tptp.fresh_name_name () (let ((_let_1 (@var "B3" tptp.name))) (let ((_let_2 (@var "A4" tptp.name))) (lambda (@list _let_2 _let_1) (not (= _let_2 _let_1)))))) % 0.48/0.93 (define tptp.ord_le630093991_pi_pi () (let ((_let_1 (@var "B4" tptp.set_Pr1834926343_pi_pi))) (let ((_let_2 (@var "X4" tptp.product_prod_pi_pi))) (let ((_let_3 (_ tptp.member558706512_pi_pi _let_2))) (let ((_let_4 (@var "A5" tptp.set_Pr1834926343_pi_pi))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.48/0.93 (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 "X4" tptp.name))) (let ((_let_12 (@var "A4" 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))))))))))))))))))))) % 0.48/0.93 (define @t1 () (_ (_ tptp.fresh_1641682979reeRes tptp.x) tptp.alpha)) % 0.48/0.93 (define @t2 () (_ tptp.late_FreeR tptp.alpha)) % 0.48/0.93 (define @t3 () (_ @t2 tptp.q2)) % 0.48/0.93 (define @t4 () (_ (_ tptp.sum tptp.p) tptp.q)) % 0.48/0.93 (define @t5 () (_ (_ tptp.late_transitions @t4) @t3)) % 0.48/0.93 (define @t6 () (_ @t2 tptp.pq)) % 0.48/0.93 (define @t7 () (_ tptp.res tptp.x)) % 0.48/0.93 (define @t8 () (_ @t7 tptp.q)) % 0.48/0.93 (define @t9 () (@var "Pi" tptp.pi)) % 0.48/0.93 (define @t10 () (@var "Name" tptp.name)) % 0.48/0.93 (define @t11 () (_ (_ tptp.res @t10) @t9)) % 0.48/0.93 (define @t12 () (@var "Pi2" tptp.pi)) % 0.48/0.93 (define @t13 () (@var "Pi1" tptp.pi)) % 0.48/0.93 (define @t14 () (_ (_ tptp.sum @t13) @t12)) % 0.48/0.93 (define @t15 () (@list @t13 @t12 @t10 @t9)) % 0.48/0.93 (define @t16 () (@var "Rs" tptp.late_residual)) % 0.48/0.93 (define @t17 () (@var "Q" tptp.pi)) % 0.48/0.93 (define @t18 () (_ tptp.late_transitions @t17)) % 0.48/0.93 (define @t19 () (_ @t18 @t16)) % 0.48/0.93 (define @t20 () (@var "P" tptp.pi)) % 0.48/0.93 (define @t21 () (_ tptp.late_transitions @t20)) % 0.48/0.93 (define @t22 () (_ @t21 @t16)) % 0.48/0.93 (define @t23 () (_ tptp.sum @t20)) % 0.48/0.93 (define @t24 () (_ @t23 @t17)) % 0.48/0.93 (define @t25 () (_ (_ tptp.late_transitions @t24) @t16)) % 0.48/0.93 (define @t26 () (@var "XP" tptp.pi)) % 0.48/0.93 (define @t27 () (@var "F" (-> tptp.pi Bool))) % 0.48/0.93 (define @t28 () (@var "P2" tptp.pi)) % 0.48/0.93 (define @t29 () (@var "X" tptp.name)) % 0.48/0.93 (define @t30 () (_ tptp.res @t29)) % 0.48/0.93 (define @t31 () (@var "Alpha" tptp.late_freeRes)) % 0.48/0.93 (define @t32 () (_ tptp.fresh_1641682979reeRes @t29)) % 0.48/0.93 (define @t33 () (_ tptp.late_FreeR @t31)) % 0.48/0.93 (define @t34 () (_ @t21 (_ @t33 @t28))) % 0.48/0.93 (define @t35 () (@list @t28)) % 0.48/0.93 (define @t36 () (_ @t30 @t20)) % 0.48/0.93 (define @t37 () (_ tptp.late_transitions @t36)) % 0.48/0.93 (define @t38 () (@var "Alpha2" tptp.late_freeRes)) % 0.48/0.93 (define @t39 () (@var "Y" tptp.name)) % 0.48/0.93 (define @t40 () (_ tptp.fresh_1641682979reeRes @t39)) % 0.48/0.93 (define @t41 () (_ tptp.late_FreeR @t38)) % 0.48/0.93 (define @t42 () (@var "P4" tptp.pi)) % 0.48/0.93 (define @t43 () (_ tptp.late_transitions @t42)) % 0.48/0.93 (define @t44 () (=> (_ @t43 (_ @t41 @t28)) (not (_ @t40 @t38)))) % 0.48/0.93 (define @t45 () (_ tptp.res @t39)) % 0.48/0.93 (define @t46 () (_ @t45 @t28)) % 0.48/0.93 (define @t47 () (_ @t41 @t46)) % 0.48/0.93 (define @t48 () (@var "P3" tptp.pi)) % 0.48/0.93 (define @t49 () (_ @t33 @t48)) % 0.48/0.93 (define @t50 () (_ @t45 @t42)) % 0.48/0.93 (define @t51 () (= @t36 @t50)) % 0.48/0.93 (define @t52 () (@list @t42 @t38 @t28 @t39)) % 0.48/0.93 (define @t53 () (@var "Y2" tptp.name)) % 0.48/0.93 (define @t54 () (_ tptp.res @t53)) % 0.48/0.93 (define @t55 () (_ @t54 @t48)) % 0.48/0.93 (define @t56 () (_ @t33 @t55)) % 0.48/0.93 (define @t57 () (_ @t54 @t20)) % 0.48/0.93 (define @t58 () (_ tptp.late_transitions @t57)) % 0.48/0.93 (define @t59 () (_ @t58 @t56)) % 0.48/0.93 (define @t60 () (_ (_ tptp.fresh_1641682979reeRes @t53) @t31)) % 0.48/0.93 (define @t61 () (=> @t60 @t59)) % 0.48/0.93 (define @t62 () (_ @t21 @t49)) % 0.48/0.93 (define @t63 () (@list @t20 @t31 @t48 @t53)) % 0.48/0.93 (define @t64 () (forall @t63 (=> @t62 @t61))) % 0.48/0.93 (define @t65 () (@var "Y1" tptp.pi)) % 0.48/0.93 (define @t66 () (@var "X1" tptp.pi)) % 0.48/0.93 (define @t67 () (= @t66 @t65)) % 0.48/0.93 (define @t68 () (@var "Y22" tptp.pi)) % 0.48/0.93 (define @t69 () (@var "X2" tptp.pi)) % 0.48/0.93 (define @t70 () (= @t69 @t68)) % 0.48/0.93 (define @t71 () (and @t70 @t67)) % 0.48/0.93 (define @t72 () (_ (_ tptp.sum @t69) @t66)) % 0.48/0.93 (define @t73 () (@list @t69 @t66 @t68 @t65)) % 0.48/0.93 (define @t74 () (@var "Y22" tptp.late_freeRes)) % 0.48/0.93 (define @t75 () (@var "X2" tptp.late_freeRes)) % 0.48/0.93 (define @t76 () (= @t75 @t74)) % 0.48/0.93 (define @t77 () (_ (_ tptp.late_FreeR @t75) @t66)) % 0.48/0.93 (define @t78 () (@var "A" tptp.name)) % 0.48/0.93 (define @t79 () (_ tptp.input @t78)) % 0.48/0.93 (define @t80 () (_ tptp.late_transitions (_ @t30 (_ (_ @t79 @t53) @t20)))) % 0.48/0.93 (define @t81 () (@var "Name2" tptp.name)) % 0.48/0.93 (define @t82 () (@var "Name1" tptp.name)) % 0.48/0.93 (define @t83 () (_ (_ (_ tptp.input @t82) @t81) @t9)) % 0.48/0.93 (define @t84 () (@list @t82 @t81 @t9)) % 0.48/0.93 (define @t85 () (@var "X" tptp.late_subject)) % 0.48/0.93 (define @t86 () (@var "C" tptp.name)) % 0.48/0.93 (define @t87 () (@list @t86)) % 0.48/0.93 (define @t88 () (@var "X" tptp.late_freeRes)) % 0.48/0.93 (define @t89 () (@var "X" tptp.pi)) % 0.48/0.93 (define @t90 () (@var "Pi3" tptp.pi)) % 0.48/0.93 (define @t91 () (@var "Name22" tptp.name)) % 0.48/0.93 (define @t92 () (@var "Name12" tptp.name)) % 0.48/0.93 (define @t93 () (_ (_ (_ tptp.input @t92) @t91) @t90)) % 0.48/0.93 (define @t94 () (@list @t92 @t91 @t90 @t10 @t9)) % 0.48/0.93 (define @t95 () (@var "Pi22" tptp.pi)) % 0.48/0.93 (define @t96 () (@var "Pi12" tptp.pi)) % 0.48/0.93 (define @t97 () (_ (_ tptp.sum @t96) @t95)) % 0.48/0.93 (define @t98 () (@list @t92 @t91 @t90 @t96 @t95)) % 0.48/0.93 (define @t99 () (@list @t96 @t95)) % 0.48/0.93 (define @t100 () (_ (_ @t79 @t29) @t20)) % 0.48/0.93 (define @t101 () (_ tptp.late_transitions @t100)) % 0.48/0.93 (define @t102 () (_ tptp.ord_le630093991_pi_pi tptp.id_pi)) % 0.48/0.93 (define @t103 () (@var "B" tptp.name)) % 0.48/0.93 (define @t104 () (_ tptp.fresh_1641682979reeRes @t103)) % 0.48/0.93 (define @t105 () (_ tptp.fresh_1641682979reeRes @t78)) % 0.48/0.93 (define @t106 () (_ tptp.output @t78)) % 0.48/0.93 (define @t107 () (_ (_ @t106 @t103) @t20)) % 0.48/0.93 (define @t108 () (_ tptp.late_transitions @t107)) % 0.48/0.93 (define @t109 () (_ @t108 @t49)) % 0.48/0.93 (define @t110 () (_ tptp.fresh_name_pi @t53)) % 0.48/0.93 (define @t111 () (_ @t110 @t20)) % 0.48/0.93 (define @t112 () (@var "Rel" tptp.set_Pr1834926343_pi_pi)) % 0.48/0.93 (define @t113 () (_ (_ tptp.strong743114133lation tptp.piNil) @t112)) % 0.48/0.93 (define @t114 () (@list @t78)) % 0.48/0.93 (define @t115 () (_ @t110 @t48)) % 0.48/0.93 (define @t116 () (@var "Residual" tptp.late_residual)) % 0.48/0.93 (define @t117 () (@var "Z" tptp.late_subject)) % 0.48/0.93 (define @t118 () (@var "P" (-> tptp.late_subject tptp.late_residual Bool))) % 0.48/0.93 (define @t119 () (@var "Pi4" tptp.pi)) % 0.48/0.93 (define @t120 () (@var "FreeRes" tptp.late_freeRes)) % 0.48/0.93 (define @t121 () (_ (_ tptp.late_FreeR @t120) @t119)) % 0.48/0.93 (define @t122 () (@var "Z2" tptp.late_subject)) % 0.48/0.93 (define @t123 () (_ @t118 @t122)) % 0.48/0.93 (define @t124 () (@var "Name3" tptp.name)) % 0.48/0.93 (define @t125 () (@var "Subject" tptp.late_subject)) % 0.48/0.93 (define @t126 () (_ (_ (_ tptp.late_BoundR @t125) @t124) @t119)) % 0.48/0.93 (define @t127 () (_ tptp.fresh_717452603ubject @t124)) % 0.48/0.93 (define @t128 () (_ @t127 @t125)) % 0.48/0.93 (define @t129 () (@var "Z" tptp.late_freeRes)) % 0.48/0.93 (define @t130 () (@var "P" (-> tptp.late_freeRes tptp.late_residual Bool))) % 0.48/0.93 (define @t131 () (@var "Z2" tptp.late_freeRes)) % 0.48/0.93 (define @t132 () (_ @t130 @t131)) % 0.48/0.93 (define @t133 () (@var "Z" tptp.name)) % 0.48/0.93 (define @t134 () (@var "P" (-> tptp.name tptp.late_residual Bool))) % 0.48/0.93 (define @t135 () (@var "Z2" tptp.name)) % 0.48/0.93 (define @t136 () (_ @t134 @t135)) % 0.48/0.93 (define @t137 () (@var "Z" tptp.pi)) % 0.48/0.93 (define @t138 () (@var "P" (-> tptp.pi tptp.late_residual Bool))) % 0.48/0.93 (define @t139 () (@var "Z2" tptp.pi)) % 0.48/0.93 (define @t140 () (_ @t138 @t139)) % 0.48/0.93 (define @t141 () (@var "Q2" tptp.pi)) % 0.48/0.93 (define @t142 () (_ tptp.par @t20)) % 0.48/0.93 (define @t143 () (_ @t142 @t141)) % 0.48/0.93 (define @t144 () (_ @t142 @t17)) % 0.48/0.93 (define @t145 () (_ tptp.late_transitions @t144)) % 0.48/0.93 (define @t146 () (_ @t18 (_ @t33 @t141))) % 0.48/0.93 (define @t147 () (_ tptp.fresh_name_pi @t78)) % 0.48/0.93 (define @t148 () (_ @t147 @t66)) % 0.48/0.93 (define @t149 () (and (_ @t147 @t69) @t148)) % 0.48/0.93 (define @t150 () (_ (_ tptp.par @t69) @t66)) % 0.48/0.93 (define @t151 () (@list @t78 @t69 @t66)) % 0.48/0.93 (define @t152 () (@var "X2" tptp.name)) % 0.48/0.93 (define @t153 () (_ tptp.fresh_name_name @t78)) % 0.48/0.93 (define @t154 () (_ @t153 @t152)) % 0.48/0.93 (define @t155 () (@var "X3" tptp.name)) % 0.48/0.93 (define @t156 () (_ @t153 @t155)) % 0.48/0.93 (define @t157 () (and @t156 @t154 @t148)) % 0.48/0.93 (define @t158 () (_ (_ (_ tptp.output @t155) @t152) @t66)) % 0.48/0.93 (define @t159 () (@list @t78 @t155 @t152 @t66)) % 0.48/0.93 (define @t160 () (_ tptp.fresh_81631222sidual @t78)) % 0.48/0.93 (define @t161 () (@var "Y22" tptp.name)) % 0.48/0.93 (define @t162 () (= @t152 @t161)) % 0.48/0.93 (define @t163 () (@var "Y3" tptp.name)) % 0.48/0.93 (define @t164 () (= @t155 @t163)) % 0.48/0.93 (define @t165 () (@var "A" tptp.product_prod_pi_pi)) % 0.48/0.93 (define @t166 () (@var "P" (-> tptp.product_prod_pi_pi Bool))) % 0.48/0.93 (define @t167 () (_ tptp.collec1051790738_pi_pi @t166)) % 0.48/0.93 (define @t168 () (@var "A2" tptp.set_Pr1834926343_pi_pi)) % 0.48/0.93 (define @t169 () (@var "X4" tptp.product_prod_pi_pi)) % 0.48/0.93 (define @t170 () (_ tptp.member558706512_pi_pi @t169)) % 0.48/0.93 (define @t171 () (@list @t169)) % 0.48/0.93 (define @t172 () (@list @t168)) % 0.48/0.93 (define @t173 () (@var "Q" (-> tptp.product_prod_pi_pi Bool))) % 0.48/0.93 (define @t174 () (_ tptp.collec1051790738_pi_pi @t173)) % 0.48/0.93 (define @t175 () (@var "X5" tptp.product_prod_pi_pi)) % 0.48/0.93 (define @t176 () (_ @t173 @t175)) % 0.48/0.93 (define @t177 () (_ @t166 @t175)) % 0.48/0.93 (define @t178 () (@list @t175)) % 0.48/0.93 (define @t179 () (@list @t166 @t173)) % 0.48/0.93 (define @t180 () (_ (_ tptp.par @t96) @t95)) % 0.48/0.93 (define @t181 () (_ (_ (_ tptp.output @t92) @t91) @t90)) % 0.48/0.93 (define @t182 () (not (= @t53 @t29))) % 0.48/0.93 (define @t183 () (@var "A" tptp.late_subject)) % 0.48/0.93 (define @t184 () (_ tptp.late_BoundR @t183)) % 0.48/0.93 (define @t185 () (_ @t184 @t29)) % 0.48/0.93 (define @t186 () (_ @t185 @t48)) % 0.48/0.93 (define @t187 () (_ @t21 @t186)) % 0.48/0.93 (define @t188 () (@list @t20 @t183 @t29 @t48 @t53)) % 0.48/0.93 (define @t189 () (_ (_ tptp.fresh_717452603ubject @t53) @t183)) % 0.48/0.93 (define @t190 () (_ tptp.par @t48)) % 0.48/0.93 (define @t191 () (_ @t190 @t17)) % 0.48/0.93 (define @t192 () (_ @t145 (_ @t185 @t191))) % 0.48/0.93 (define @t193 () (_ tptp.fresh_name_pi @t29)) % 0.48/0.93 (define @t194 () (_ @t193 @t17)) % 0.48/0.93 (define @t195 () (@list @t20 @t183 @t29 @t48 @t17)) % 0.48/0.93 (define @t196 () (_ @t145 (_ @t185 @t143))) % 0.48/0.93 (define @t197 () (_ @t193 @t20)) % 0.48/0.93 (define @t198 () (_ @t18 (_ @t185 @t141))) % 0.48/0.93 (define @t199 () (@list @t17 @t183 @t29 @t141 @t20)) % 0.48/0.93 (define @t200 () (@var "PQ" tptp.pi)) % 0.48/0.93 (define @t201 () (@var "Prop" (-> tptp.pi Bool))) % 0.48/0.93 (define @t202 () (@var "Q3" tptp.pi)) % 0.48/0.93 (define @t203 () (_ tptp.par @t28)) % 0.48/0.93 (define @t204 () (_ @t21 (_ @t185 @t28))) % 0.48/0.93 (define @t205 () (@var "A3" tptp.late_subject)) % 0.48/0.93 (define @t206 () (@var "X5" tptp.name)) % 0.48/0.93 (define @t207 () (_ tptp.fresh_717452603ubject @t206)) % 0.48/0.93 (define @t208 () (_ @t207 @t205)) % 0.48/0.93 (define @t209 () (not @t208)) % 0.48/0.93 (define @t210 () (@var "Q4" tptp.pi)) % 0.48/0.93 (define @t211 () (_ tptp.fresh_name_pi @t206)) % 0.48/0.93 (define @t212 () (_ @t211 @t42)) % 0.48/0.93 (define @t213 () (=> @t212 (=> (_ @t211 @t210) @t209))) % 0.48/0.93 (define @t214 () (_ tptp.late_BoundR @t205)) % 0.48/0.93 (define @t215 () (_ @t214 @t206)) % 0.48/0.93 (define @t216 () (_ @t215 @t202)) % 0.48/0.93 (define @t217 () (_ tptp.par @t42)) % 0.48/0.93 (define @t218 () (@var "B" tptp.late_subject)) % 0.48/0.93 (define @t219 () (_ (_ (_ tptp.late_BoundR @t218) @t53) @t48)) % 0.48/0.93 (define @t220 () (= @t144 (_ @t217 @t210))) % 0.48/0.93 (define @t221 () (_ @t43 (_ @t215 @t28))) % 0.48/0.93 (define @t222 () (_ tptp.fresh_717452603ubject @t29)) % 0.48/0.93 (define @t223 () (_ @t222 @t183)) % 0.48/0.93 (define @t224 () (_ @t23 @t20)) % 0.48/0.93 (define @t225 () (_ @t102 @t112)) % 0.48/0.93 (define @t226 () (@list @t112 @t20)) % 0.48/0.93 (define @t227 () (@var "R" tptp.pi)) % 0.48/0.93 (define @t228 () (_ (_ tptp.sum @t24) @t227)) % 0.48/0.93 (define @t229 () (_ tptp.sum @t17)) % 0.48/0.93 (define @t230 () (_ @t23 (_ @t229 @t227))) % 0.48/0.93 (define @t231 () (@list @t112 @t20 @t17 @t227)) % 0.48/0.93 (define @t232 () (_ tptp.strong743114133lation @t20)) % 0.48/0.93 (define @t233 () (_ @t232 @t112)) % 0.48/0.93 (define @t234 () (@var "C2" tptp.late_subject)) % 0.48/0.93 (define @t235 () (_ @t58 (_ @t185 @t55))) % 0.48/0.93 (define @t236 () (@list @t112 @t78 @t103 @t20)) % 0.48/0.93 (define @t237 () (_ @t23 tptp.piNil)) % 0.48/0.93 (define @t238 () (_ tptp.fresh_717452603ubject @t78)) % 0.48/0.93 (define @t239 () (_ (_ tptp.res @t78) @t20)) % 0.48/0.93 (define @t240 () (@var "FreeRes2" tptp.late_freeRes)) % 0.48/0.93 (define @t241 () (@var "Name4" tptp.name)) % 0.48/0.93 (define @t242 () (@var "Subject2" tptp.late_subject)) % 0.48/0.93 (define @t243 () (@var "P" (-> tptp.late_residual Bool))) % 0.48/0.93 (define @t244 () (_ @t30 @t17)) % 0.48/0.93 (define @t245 () (_ tptp.eqvt_pi @t112)) % 0.48/0.93 (define @t246 () (_ tptp.late_FreeR tptp.late_TauR)) % 0.48/0.93 (define @t247 () (_ @t246 @t48)) % 0.48/0.93 (define @t248 () (_ tptp.late_transitions (_ @t30 @t107))) % 0.48/0.93 (define @t249 () (@var "B2" tptp.set_Pr1834926343_pi_pi)) % 0.48/0.93 (define @t250 () (= @t168 @t249)) % 0.48/0.93 (define @t251 () (_ tptp.ord_le630093991_pi_pi @t249)) % 0.48/0.93 (define @t252 () (_ @t251 @t168)) % 0.48/0.93 (define @t253 () (_ tptp.ord_le630093991_pi_pi @t168)) % 0.48/0.93 (define @t254 () (_ @t253 @t249)) % 0.48/0.93 (define @t255 () (@list @t168 @t249)) % 0.48/0.93 (define @t256 () (_ tptp.member558706512_pi_pi @t175)) % 0.48/0.93 (define @t257 () (@var "X" tptp.set_Pr1834926343_pi_pi)) % 0.48/0.93 (define @t258 () (_ tptp.ord_le630093991_pi_pi @t257)) % 0.48/0.93 (define @t259 () (@var "C2" tptp.name)) % 0.48/0.93 (define @t260 () (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t103))) % 0.48/0.93 (define @t261 () (@var "Y1" tptp.name)) % 0.48/0.93 (define @t262 () (@var "X1" tptp.name)) % 0.48/0.93 (define @t263 () (= @t262 @t261)) % 0.48/0.93 (define @t264 () (_ (_ tptp.late_OutputR @t152) @t262)) % 0.48/0.93 (define @t265 () (_ tptp.late_BoundOutputS @t262)) % 0.48/0.93 (define @t266 () (@list @t262 @t261)) % 0.48/0.93 (define @t267 () (_ @t153 @t262)) % 0.48/0.93 (define @t268 () (_ tptp.late_InputS @t262)) % 0.48/0.93 (define @t269 () (@list @t78 @t262)) % 0.48/0.93 (define @t270 () (@var "P" (-> tptp.late_subject Bool))) % 0.48/0.93 (define @t271 () (@list @t124)) % 0.48/0.93 (define @t272 () (@var "FreeRes3" tptp.late_freeRes)) % 0.48/0.93 (define @t273 () (@var "P" (-> tptp.late_freeRes Bool))) % 0.48/0.93 (define @t274 () (@var "Name23" tptp.name)) % 0.48/0.93 (define @t275 () (@var "Name13" tptp.name)) % 0.48/0.93 (define @t276 () (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t78))) % 0.48/0.93 (define @t277 () (_ tptp.res @t103)) % 0.48/0.93 (define @t278 () (not (= @t78 @t103))) % 0.48/0.93 (define @t279 () (_ (_ tptp.late_OutputR @t78) @t103)) % 0.48/0.93 (define @t280 () (_ tptp.late_FreeR @t279)) % 0.48/0.93 (define @t281 () (_ @t280 @t48)) % 0.48/0.93 (define @t282 () (_ @t21 @t281)) % 0.48/0.93 (define @t283 () (@list @t20 @t78 @t103 @t48)) % 0.48/0.93 (define @t284 () (@var "C2" tptp.set_Pr1834926343_pi_pi)) % 0.48/0.93 (define @t285 () (@var "F2" (-> tptp.set_Pr1834926343_pi_pi tptp.set_Pr1834926343_pi_pi))) % 0.48/0.93 (define @t286 () (@var "A" tptp.set_Pr1834926343_pi_pi)) % 0.48/0.93 (define @t287 () (_ tptp.ord_le630093991_pi_pi @t286)) % 0.48/0.93 (define @t288 () (@var "Y" tptp.set_Pr1834926343_pi_pi)) % 0.48/0.93 (define @t289 () (@var "X5" tptp.set_Pr1834926343_pi_pi)) % 0.48/0.93 (define @t290 () (forall (@list @t289 @t288) (=> (_ (_ tptp.ord_le630093991_pi_pi @t289) @t288) (_ (_ tptp.ord_le630093991_pi_pi (_ @t285 @t289)) (_ @t285 @t288))))) % 0.48/0.93 (define @t291 () (@var "B" tptp.set_Pr1834926343_pi_pi)) % 0.48/0.93 (define @t292 () (_ tptp.ord_le630093991_pi_pi @t291)) % 0.48/0.93 (define @t293 () (_ @t292 @t284)) % 0.48/0.93 (define @t294 () (=> @t293 (=> @t290 (_ @t287 (_ @t285 @t284))))) % 0.48/0.93 (define @t295 () (_ @t285 @t291)) % 0.48/0.93 (define @t296 () (@list @t286 @t285 @t291 @t284)) % 0.48/0.93 (define @t297 () (=> @t290 (_ (_ tptp.ord_le630093991_pi_pi (_ @t285 @t286)) @t284))) % 0.48/0.93 (define @t298 () (_ @t287 @t291)) % 0.48/0.93 (define @t299 () (@list @t286 @t291 @t285 @t284)) % 0.48/0.93 (define @t300 () (@var "X4" tptp.set_Pr1834926343_pi_pi)) % 0.48/0.93 (define @t301 () (@var "Y5" tptp.set_Pr1834926343_pi_pi)) % 0.48/0.93 (define @t302 () (@var "Z3" tptp.set_Pr1834926343_pi_pi)) % 0.48/0.93 (define @t303 () (@var "Y4" tptp.set_Pr1834926343_pi_pi)) % 0.48/0.93 (define @t304 () (lambda (@list @t303 @t302) (= @t303 @t302))) % 0.48/0.93 (define @t305 () (@var "Y2" tptp.set_Pr1834926343_pi_pi)) % 0.48/0.93 (define @t306 () (= @t257 @t305)) % 0.48/0.93 (define @t307 () (_ tptp.ord_le630093991_pi_pi @t305)) % 0.48/0.93 (define @t308 () (_ @t307 @t257)) % 0.48/0.93 (define @t309 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(define @t410 () (@var "P5" tptp.pi)) % 0.48/0.93 (define @t411 () (_ tptp.product_Pair_pi_pi @t410)) % 0.48/0.93 (define @t412 () (_ @t21 (_ @t41 @t410))) % 0.48/0.93 (define @t413 () (@list @t410)) % 0.48/0.93 (define @t414 () (_ @t18 (_ @t41 @t202))) % 0.48/0.93 (define @t415 () (=> (forall (@list @t202 @t38) (=> @t414 (=> (_ @t32 @t38) (exists @t413 (and @t412 (_ (_ tptp.member558706512_pi_pi (_ @t411 @t409)) @t112)))))) (_ @t233 @t244))) % 0.48/0.93 (define @t416 () (_ tptp.strong2129052853vative @t410)) % 0.48/0.93 (define @t417 () (_ @t214 @t39)) % 0.48/0.93 (define @t418 () (_ @t21 (_ @t417 @t410))) % 0.48/0.93 (define @t419 () (exists @t413 (and @t418 (_ (_ (_ (_ @t416 @t409) @t205) @t39) @t112)))) % 0.48/0.93 (define @t420 () (@var "C3" tptp.late_subject)) % 0.48/0.93 (define @t421 () (not (= @t29 @t39))) % 0.48/0.93 (define @t422 () (_ @t222 @t205)) % 0.48/0.93 (define @t423 () (_ @t18 (_ @t417 @t202))) % 0.48/0.93 (define @t424 () (@list @t202 @t205 @t39)) % 0.48/0.93 (define @t425 () (_ (_ tptp.member558706512_pi_pi (_ @t411 @t202)) @t112)) % 0.48/0.93 (define @t426 () (forall (@list @t202 @t343) (=> (_ @t18 (_ (_ tptp.late_FreeR (_ @t345 @t29)) @t202)) (=> (not (= @t343 @t29)) (exists @t413 (and (_ @t21 (_ (_ @t348 @t29) @t410)) @t425)))))) % 0.48/0.93 (define @t427 () (@var "C3" tptp.late_freeRes)) % 0.48/0.93 (define @t428 () (@var "C3" tptp.name)) % 0.48/0.93 (define @t429 () (@var "C3" tptp.pi)) % 0.48/0.93 (define @t430 () (_ tptp.fresh_name_pi @t39)) % 0.48/0.93 (define @t431 () (_ @t233 @t17)) % 0.48/0.93 (define @t432 () (=> (forall (@list @t38 @t202) (=> @t414 (exists @t413 (and @t412 @t425)))) @t431)) % 0.48/0.93 (define @t433 () (_ (_ @t416 @t202) @t205)) % 0.48/0.93 (define @t434 () (exists @t413 (and (_ @t21 (_ @t215 @t410)) (_ (_ @t433 @t206) @t112)))) % 0.48/0.93 (define @t435 () (_ @t211 @t17)) % 0.48/0.93 (define @t436 () (_ @t211 @t20)) % 0.48/0.93 (define @t437 () (_ @t18 @t216)) % 0.48/0.93 (define @t438 () (@list @t205 @t206 @t202)) % 0.48/0.93 (define @t439 () (_ tptp.strong2129052853vative @t20)) % 0.48/0.93 (define @t440 () (_ (_ (_ @t439 @t17) @t183) @t29)) % 0.48/0.93 (define @t441 () (@var "B" (-> tptp.name tptp.noption_pi))) % 0.48/0.93 (define @t442 () (@var "A" (-> tptp.name tptp.noption_pi))) % 0.48/0.93 (define @t443 () (= @t442 @t441)) % 0.48/0.93 (define @t444 () (_ tptp.produc1342893193ion_pi @t442)) % 0.48/0.93 (define @t445 () (_ @t444 @t441)) % 0.48/0.93 (define @t446 () (_ (_ tptp.member1632198138ion_pi @t445) tptp.id_name_noption_pi)) % 0.48/0.93 (define @t447 () (@list @t442 @t441)) % 0.48/0.93 (define @t448 () (@var "B" tptp.pi)) % 0.48/0.93 (define @t449 () (@var "A" tptp.pi)) % 0.48/0.93 (define @t450 () (= @t449 @t448)) % 0.48/0.93 (define @t451 () (_ tptp.product_Pair_pi_pi @t449)) % 0.48/0.93 (define @t452 () (_ @t451 @t448)) % 0.48/0.93 (define @t453 () (_ (_ tptp.member558706512_pi_pi @t452) tptp.id_pi)) % 0.48/0.93 (define @t454 () (@list @t449 @t448)) % 0.48/0.93 (define @t455 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(_ tptp.produc540578151i_name @t458) @t39)) % 0.48/0.93 (define @t471 () (_ tptp.member1353687244i_name @t470)) % 0.48/0.93 (define @t472 () (@list @t458 @t39)) % 0.48/0.93 (define @t473 () (@var "S" tptp.set_Pr1694908217_pi_pi)) % 0.48/0.93 (define @t474 () (@var "R2" tptp.set_Pr1694908217_pi_pi)) % 0.48/0.93 (define @t475 () (@var "Y" tptp.pi)) % 0.48/0.93 (define @t476 () (_ (_ tptp.produc1820286517_pi_pi @t458) @t475)) % 0.48/0.93 (define @t477 () (_ tptp.member772629402_pi_pi @t476)) % 0.48/0.93 (define @t478 () (@list @t458 @t475)) % 0.48/0.93 (define @t479 () (@var "S" tptp.set_Pr1569510577ion_pi)) % 0.48/0.93 (define @t480 () (@var "R2" tptp.set_Pr1569510577ion_pi)) % 0.48/0.93 (define @t481 () (@var "Y" (-> tptp.name tptp.noption_pi))) % 0.48/0.93 (define @t482 () (_ tptp.produc1342893193ion_pi @t458)) % 0.48/0.93 (define @t483 () (_ @t482 @t481)) % 0.48/0.93 (define @t484 () (_ tptp.member1632198138ion_pi @t483)) % 0.48/0.93 (define @t485 () (@list @t458 @t481)) % 0.48/0.93 (define @t486 () (@var "S" tptp.set_Pr1834926343_pi_pi)) % 0.48/0.93 (define @t487 () (@var "R2" tptp.set_Pr1834926343_pi_pi)) % 0.48/0.93 (define @t488 () (@var "X5" tptp.pi)) % 0.48/0.93 (define @t489 () (_ tptp.product_Pair_pi_pi @t488)) % 0.48/0.93 (define @t490 () (_ @t489 @t475)) % 0.48/0.93 (define @t491 () (_ tptp.member558706512_pi_pi @t490)) % 0.48/0.93 (define @t492 () (@list @t488 @t475)) % 0.48/0.93 (define @t493 () (@var "P8" tptp.produc1462499409ion_pi)) % 0.48/0.93 (define @t494 () (@list @t493)) % 0.48/0.93 (define @t495 () (@var "P8" tptp.product_prod_pi_pi)) % 0.48/0.93 (define @t496 () (@list @t495)) % 0.48/0.93 (define @t497 () (_ @t238 @t401)) % 0.48/0.93 (define @t498 () (_ @t238 @t85)) % 0.48/0.93 (define @t499 () (_ @t105 @t397)) % 0.48/0.93 (define @t500 () (_ @t153 @t53)) % 0.48/0.93 (define @t501 () (@var "Y2" tptp.pi)) % 0.48/0.93 (define @t502 () (_ @t147 @t501)) % 0.48/0.93 (define @t503 () (_ @t105 @t88)) % 0.48/0.93 (define @t504 () (_ @t153 @t29)) % 0.48/0.93 (define @t505 () (@var "B6" tptp.late_subject)) % 0.48/0.93 (define @t506 () (= @t218 @t505)) % 0.48/0.93 (define @t507 () (@var "A6" (-> tptp.name tptp.noption_pi))) % 0.48/0.93 (define @t508 () (= @t442 @t507)) % 0.48/0.93 (define @t509 () (= (_ (_ tptp.produc581368530ubject @t442) @t218) (_ (_ tptp.produc581368530ubject @t507) @t505))) % 0.48/0.93 (define @t510 () (@list @t442 @t218 @t507 @t505)) % 0.48/0.93 (define @t511 () (@var "B6" tptp.late_freeRes)) % 0.48/0.93 (define @t512 () (@var "B" tptp.late_freeRes)) % 0.48/0.93 (define @t513 () (= @t512 @t511)) % 0.48/0.93 (define @t514 () (= (_ (_ tptp.produc1505598906reeRes @t442) @t512) (_ (_ tptp.produc1505598906reeRes @t507) @t511))) % 0.48/0.93 (define @t515 () (@list @t442 @t512 @t507 @t511)) % 0.48/0.93 (define @t516 () (@var "B6" tptp.name)) % 0.48/0.93 (define @t517 () (= @t103 @t516)) % 0.48/0.93 (define @t518 () (= (_ (_ tptp.produc540578151i_name @t442) @t103) (_ (_ tptp.produc540578151i_name @t507) @t516))) % 0.48/0.93 (define @t519 () (@list @t442 @t103 @t507 @t516)) % 0.48/0.93 (define @t520 () (@var "B6" tptp.pi)) % 0.48/0.93 (define @t521 () (= @t448 @t520)) % 0.48/0.93 (define @t522 () (= (_ (_ tptp.produc1820286517_pi_pi @t442) @t448) (_ (_ tptp.produc1820286517_pi_pi @t507) @t520))) % 0.48/0.93 (define @t523 () (@list @t442 @t448 @t507 @t520)) % 0.48/0.93 (define @t524 () (@var "B6" (-> tptp.name tptp.noption_pi))) % 0.48/0.93 (define @t525 () (= @t441 @t524)) % 0.48/0.93 (define @t526 () (= @t445 (_ (_ tptp.produc1342893193ion_pi @t507) @t524))) % 0.48/0.93 (define @t527 () (@list @t442 @t441 @t507 @t524)) % 0.48/0.93 (define @t528 () (@var "A6" tptp.pi)) % 0.48/0.93 (define @t529 () (= @t449 @t528)) % 0.48/0.93 (define @t530 () (= @t452 (_ (_ tptp.product_Pair_pi_pi @t528) @t520))) % 0.48/0.93 (define @t531 () (@list @t449 @t448 @t528 @t520)) % 0.48/0.93 (define @t532 () (@var "Y22" tptp.late_subject)) % 0.48/0.93 (define @t533 () (@var "X2" tptp.late_subject)) % 0.48/0.93 (define @t534 () (@var "Y1" (-> tptp.name tptp.noption_pi))) % 0.48/0.93 (define @t535 () (@var "X1" (-> tptp.name tptp.noption_pi))) % 0.48/0.93 (define @t536 () (= @t535 @t534)) % 0.48/0.93 (define @t537 () (@var "Y22" (-> tptp.name tptp.noption_pi))) % 0.48/0.93 (define @t538 () (@var "X2" (-> tptp.name tptp.noption_pi))) % 0.48/0.93 (define @t539 () (@var "P8" tptp.produc691362330ubject)) % 0.48/0.93 (define @t540 () (@var "P8" tptp.produc1834551554reeRes)) % 0.48/0.93 (define @t541 () (@var "P8" tptp.produc405342261i_name)) % 0.48/0.93 (define @t542 () (@var "P8" tptp.produc629157763_pi_pi)) % 0.48/0.93 (define @t543 () (@var "P" (-> tptp.produc691362330ubject Bool))) % 0.48/0.93 (define @t544 () (@var "B5" tptp.late_subject)) % 0.48/0.93 (define @t545 () (@var "A3" (-> tptp.name tptp.noption_pi))) % 0.48/0.93 (define @t546 () (_ (_ tptp.produc581368530ubject @t545) @t544)) % 0.48/0.93 (define @t547 () (@list @t545 @t544)) % 0.48/0.93 (define @t548 () (forall @t547 (_ @t543 @t546))) % 0.48/0.93 (define @t549 () (@var "P" (-> tptp.produc1834551554reeRes Bool))) % 0.48/0.93 (define @t550 () (@var "B5" tptp.late_freeRes)) % 0.48/0.93 (define @t551 () (_ (_ tptp.produc1505598906reeRes @t545) @t550)) % 0.48/0.93 (define @t552 () (@list @t545 @t550)) % 0.48/0.93 (define @t553 () (forall @t552 (_ @t549 @t551))) % 0.48/0.93 (define @t554 () (@var "P" (-> tptp.produc405342261i_name Bool))) % 0.48/0.93 (define @t555 () (_ (_ tptp.produc540578151i_name @t545) @t342)) % 0.48/0.93 (define @t556 () (@list @t545 @t342)) % 0.48/0.93 (define @t557 () (forall @t556 (_ @t554 @t555))) % 0.48/0.93 (define @t558 () (@var "P" (-> tptp.produc629157763_pi_pi Bool))) % 0.48/0.93 (define @t559 () (@var "B5" tptp.pi)) % 0.48/0.93 (define @t560 () (_ (_ tptp.produc1820286517_pi_pi @t545) @t559)) % 0.48/0.93 (define @t561 () (@list @t545 @t559)) % 0.48/0.93 (define @t562 () (forall @t561 (_ @t558 @t560))) % 0.48/0.93 (define @t563 () (@var "P" (-> tptp.produc1462499409ion_pi Bool))) % 0.48/0.93 (define @t564 () (@var "B5" (-> tptp.name tptp.noption_pi))) % 0.48/0.93 (define @t565 () (_ (_ tptp.produc1342893193ion_pi @t545) @t564)) % 0.48/0.93 (define @t566 () (@list @t545 @t564)) % 0.48/0.93 (define @t567 () (forall @t566 (_ @t563 @t565))) % 0.48/0.93 (define @t568 () (@var "A3" tptp.pi)) % 0.48/0.93 (define @t569 () (_ (_ tptp.product_Pair_pi_pi @t568) @t559)) % 0.48/0.93 (define @t570 () (@list @t568 @t559)) % 0.48/0.93 (define @t571 () (forall @t570 (_ @t166 @t569))) % 0.48/0.93 (define @t572 () (not @t521)) % 0.48/0.93 (define @t573 () (@var "Y2" tptp.produc691362330ubject)) % 0.48/0.93 (define @t574 () (@var "Y2" tptp.produc1834551554reeRes)) % 0.48/0.93 (define @t575 () (@var "Y2" tptp.produc405342261i_name)) % 0.48/0.93 (define @t576 () (@var "Y2" tptp.produc629157763_pi_pi)) % 0.48/0.93 (define @t577 () (@var "Y2" tptp.produc1462499409ion_pi)) % 0.48/0.93 (define @t578 () (@var "Y2" tptp.product_prod_pi_pi)) % 0.48/0.93 (define @t579 () (@var "Prod" tptp.produc691362330ubject)) % 0.48/0.93 (define @t580 () (@var "Prod" tptp.produc1834551554reeRes)) % 0.48/0.93 (define @t581 () (@var "Prod" tptp.produc405342261i_name)) % 0.48/0.93 (define @t582 () (@var "Prod" tptp.produc629157763_pi_pi)) % 0.48/0.93 (define @t583 () (@var "Prod" tptp.produc1462499409ion_pi)) % 0.48/0.93 (define @t584 () (@var "Prod" tptp.product_prod_pi_pi)) % 0.48/0.93 (define @t585 () (@var "X" (-> tptp.name tptp.noption_pi))) % 0.48/0.93 (define @t586 () (_ (_ tptp.fresh_567880928ubject @t78) (_ (_ tptp.produc581368530ubject @t585) @t401))) % 0.48/0.93 (define @t587 () (@list @t78 @t585 @t401)) % 0.48/0.93 (define @t588 () (_ (_ tptp.fresh_1711070152reeRes @t78) (_ (_ tptp.produc1505598906reeRes @t585) @t397))) % 0.48/0.93 (define @t589 () (@list @t78 @t585 @t397)) % 0.48/0.93 (define @t590 () (_ (_ tptp.fresh_453496559i_name @t78) (_ (_ tptp.produc540578151i_name @t585) @t53))) % 0.48/0.93 (define @t591 () (@list @t78 @t585 @t53)) % 0.48/0.93 (define @t592 () (_ (_ tptp.fresh_253309757_pi_pi @t78) (_ (_ tptp.produc1820286517_pi_pi @t585) @t501))) % 0.48/0.93 (define @t593 () (@list @t78 @t585 @t501)) % 0.48/0.93 (define @t594 () (@var "Y2" (-> tptp.name tptp.noption_pi))) % 0.48/0.93 (define @t595 () (_ tptp.fresh_543891186ion_pi @t78)) % 0.48/0.93 (define @t596 () (_ (_ tptp.fresh_225680151ion_pi @t78) (_ (_ tptp.produc1342893193ion_pi @t585) @t594))) % 0.48/0.93 (define @t597 () (@list @t78 @t585 @t594)) % 0.48/0.93 (define @t598 () (_ (_ tptp.fresh_1627595501_pi_pi @t78) (_ (_ tptp.product_Pair_pi_pi @t89) @t501))) % 0.48/0.93 (define @t599 () (@list @t78 @t89 @t501)) % 0.48/0.93 (define @t600 () (_ @t595 @t585)) % 0.48/0.93 (define @t601 () (_ tptp.tau @t20)) % 0.48/0.93 (define @t602 () (_ tptp.late_transitions (_ @t30 @t601))) % 0.48/0.93 (define @t603 () (_ (_ tptp.abs_fun_name_pi @t262) @t69)) % 0.48/0.93 (define @t604 () (_ @t595 @t603)) % 0.48/0.93 (define @t605 () (@var "X3" tptp.late_subject)) % 0.48/0.93 (define @t606 () (_ (_ (_ tptp.late_BoundR @t605) @t262) @t69)) % 0.48/0.93 (define @t607 () (_ tptp.tau @t66)) % 0.48/0.93 (define @t608 () (_ (_ tptp.res @t262) @t69)) % 0.48/0.93 (define @t609 () (_ (_ (_ tptp.input @t155) @t262) @t69)) % 0.48/0.93 (define @t610 () (= @t103 @t78)) % 0.48/0.93 (define @t611 () (_ tptp.tau @t9)) % 0.48/0.93 (define @t612 () (_ tptp.tau @t90)) % 0.48/0.93 (define @t613 () (@list @t90 @t82 @t81 @t9)) % 0.48/0.93 (define @t614 () (@list @t90 @t96 @t95)) % 0.48/0.93 (define @t615 () (= @t603 (_ (_ tptp.abs_fun_name_pi @t261) @t68))) % 0.48/0.93 (define @t616 () (@var "Y3" tptp.late_subject)) % 0.48/0.93 (define @t617 () (_ tptp.late_transitions @t601)) % 0.48/0.93 (define @t618 () (_ tptp.mismatch @t78)) % 0.48/0.93 (define @t619 () (_ (_ @t618 @t103) @t20)) % 0.48/0.93 (define @t620 () (@var "F" (-> tptp.name tptp.name Bool))) % 0.48/0.93 (define @t621 () (_ (_ @t620 @t78) @t103)) % 0.48/0.93 (define @t622 () (_ (_ tptp.late_transitions @t619) @t16)) % 0.48/0.93 (define @t623 () (_ (_ (_ tptp.mismatch @t92) @t91) @t90)) % 0.48/0.93 (define @t624 () (_ @t7 tptp.q2)) % 0.48/0.93 (define @t625 () (_ @t2 @t624)) % 0.48/0.93 (define @t626 () (_ @t7 @t4)) % 0.48/0.93 (define @t627 () (_ (_ tptp.late_transitions @t626) @t625)) % 0.48/0.93 (define @t628 () (not @t627)) % 0.48/0.93 (define @t629 () (@var "B3" tptp.name)) % 0.48/0.93 (define @t630 () (@var "A4" tptp.name)) % 0.48/0.93 (define @t631 () (lambda (@list @t630 @t629) (not (= @t630 @t629)))) % 0.48/0.93 (define @t632 () (lambda @t331 (forall @t171 (=> (_ @t170 @t330) (_ @t170 @t327))))) % 0.48/0.93 (define @t633 () (@var "Rel2" tptp.set_Pr1834926343_pi_pi)) % 0.48/0.93 (define @t634 () (@var "Q6" tptp.pi)) % 0.48/0.93 (define @t635 () (@var "P7" tptp.pi)) % 0.48/0.93 (define @t636 () (@var "Alpha3" tptp.late_freeRes)) % 0.48/0.93 (define @t637 () (_ tptp.late_FreeR @t636)) % 0.48/0.93 (define @t638 () (@var "P6" tptp.pi)) % 0.48/0.93 (define @t639 () (_ tptp.late_transitions @t638)) % 0.48/0.93 (define @t640 () (@list @t635)) % 0.48/0.93 (define @t641 () (@var "Q5" tptp.pi)) % 0.48/0.93 (define @t642 () (_ tptp.late_transitions @t641)) % 0.48/0.93 (define @t643 () (@var "X4" tptp.name)) % 0.48/0.93 (define @t644 () (@var "A4" tptp.late_subject)) % 0.48/0.93 (define @t645 () (_ (_ tptp.late_BoundR @t644) @t643)) % 0.48/0.93 (define @t646 () (lambda (@list @t638 @t633 @t641) (and (forall (@list @t644 @t643 @t634) (=> (and (_ @t642 (_ @t645 @t634)) (_ (_ tptp.fresh_name_pi @t643) @t638)) (exists @t640 (and (_ @t639 (_ @t645 @t635)) (_ (_ (_ (_ (_ tptp.strong2129052853vative @t635) @t634) @t644) @t643) @t633))))) (forall (@list @t636 @t634) (=> (_ @t642 (_ @t637 @t634)) (exists @t640 (and (_ @t639 (_ @t637 @t635)) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t635) @t634)) @t633)))))))) % 0.48/0.93 (define @t647 () (tptp.res @t53 @t48)) % 0.48/0.93 (define @t648 () (tptp.late_FreeR @t31 @t647)) % 0.48/0.93 (define @t649 () (tptp.res @t53 @t20)) % 0.48/0.93 (define @t650 () (tptp.late_transitions @t649 @t648)) % 0.48/0.93 (define @t651 () (tptp.fresh_1641682979reeRes @t53 @t31)) % 0.48/0.93 (define @t652 () (not @t60)) % 0.48/0.93 (define @t653 () (tptp.late_FreeR @t31 @t48)) % 0.48/0.93 (define @t654 () (tptp.late_transitions @t20 @t653)) % 0.48/0.93 (define @t655 () (not @t62)) % 0.48/0.93 (define @t656 () (or @t655 @t652 @t59)) % 0.48/0.93 (define @t657 () (tptp.late_FreeR tptp.alpha tptp.q2)) % 0.48/0.93 (define @t658 () (tptp.sum tptp.p tptp.q)) % 0.48/0.93 (define @t659 () (tptp.late_transitions @t658 @t657)) % 0.48/0.93 (define @t660 () (tptp.fresh_1641682979reeRes tptp.x tptp.alpha)) % 0.48/0.93 (define @t661 () (tptp.res tptp.x tptp.q2)) % 0.48/0.93 (define @t662 () (tptp.late_FreeR tptp.alpha @t661)) % 0.48/0.93 (define @t663 () (tptp.res tptp.x @t658)) % 0.48/0.93 (define @t664 () (tptp.late_transitions @t663 @t662)) % 0.48/0.93 (define @t665 () (not @t660)) % 0.48/0.93 (define @t666 () (not @t659)) % 0.48/0.93 (define @t667 () (or @t666 @t665 @t664)) % 0.48/0.93 (define @t668 () (not @t667)) % 0.48/0.93 (define @t669 () (forall @t63 (or (not @t654) (not @t651) @t650))) % 0.48/0.93 (assume @p1 @t1) % 0.48/0.93 (assume @p2 (_ tptp.eqvt_pi tptp.rel)) % 0.48/0.93 (assume @p3 @t5) % 0.48/0.93 (assume @p4 (_ (_ tptp.late_transitions tptp.q) @t3)) % 0.48/0.93 (assume @p5 (_ (_ tptp.late_transitions @t8) @t6)) % 0.48/0.93 (assume @p6 (_ (_ tptp.late_transitions (_ (_ tptp.sum (_ @t7 tptp.p)) @t8)) @t6)) % 0.48/0.93 (assume @p7 (forall @t15 (not (= @t14 @t11)))) % 0.48/0.93 (assume @p8 (forall (@list @t20 @t17 @t16) (=> @t25 (=> (not @t22) @t19)))) % 0.48/0.93 (assume @p9 (forall (@list @t20 @t16 @t17) (=> @t22 @t25))) % 0.48/0.93 (assume @p10 (forall (@list @t17 @t16 @t20) (=> @t19 @t25))) % 0.48/0.93 (assume @p11 (forall (@list @t29 @t20 @t31 @t26 @t27) (=> (_ @t37 (_ @t33 @t26)) (=> (forall @t35 (=> @t34 (=> (_ @t32 @t31) (_ @t27 (_ @t30 @t28))))) (_ @t27 @t26))))) % 0.48/0.93 (assume @p12 (forall (@list @t29 @t20 @t31 @t48) (=> (_ @t37 @t49) (not (forall @t52 (=> @t51 (=> (= @t49 @t47) @t44))))))) % 0.48/0.93 (assume @p13 @t64) % 0.48/0.93 (assume @p14 (forall @t73 (= (= @t72 (_ (_ tptp.sum @t68) @t65)) @t71))) % 0.48/0.93 (assume @p15 (forall (@list @t75 @t66 @t74 @t65) (= (= @t77 (_ (_ tptp.late_FreeR @t74) @t65)) (and @t76 @t67)))) % 0.48/0.93 (assume @p16 (forall (@list @t29 @t78 @t53 @t20 @t31 @t48) (not (_ @t80 @t49)))) % 0.48/0.93 (assume @p17 (forall (@list @t29 @t16) (not (_ (_ tptp.late_transitions (_ @t30 tptp.piNil)) @t16)))) % 0.48/0.93 (assume @p18 (forall @t84 (not (= tptp.piNil @t83)))) % 0.48/0.93 (assume @p19 (forall (@list @t85) (not (forall @t87 (not (_ (_ tptp.fresh_717452603ubject @t86) @t85)))))) % 0.48/0.93 (assume @p20 (forall (@list @t88) (not (forall @t87 (not (_ (_ tptp.fresh_1641682979reeRes @t86) @t88)))))) % 0.48/0.93 (assume @p21 (forall (@list @t29) (not (forall @t87 (not (_ (_ tptp.fresh_name_name @t86) @t29)))))) % 0.48/0.93 (assume @p22 (forall (@list @t89) (not (forall @t87 (not (_ (_ tptp.fresh_name_pi @t86) @t89)))))) % 0.48/0.93 (assume @p23 (forall @t94 (not (= @t93 @t11)))) % 0.48/0.93 (assume @p24 (forall (@list @t16) (not (_ (_ tptp.late_transitions tptp.piNil) @t16)))) % 0.48/0.93 (assume @p25 (forall @t98 (not (= @t93 @t97)))) % 0.48/0.93 (assume @p26 (forall (@list @t10 @t9) (not (= tptp.piNil @t11)))) % 0.48/0.93 (assume @p27 (forall @t99 (not (= tptp.piNil @t97)))) % 0.48/0.93 (assume @p28 (forall (@list @t29 @t53 @t20 @t16) (not (_ (_ tptp.late_transitions (_ @t30 (_ (_ (_ tptp.input @t29) @t53) @t20))) @t16)))) % 0.48/0.93 (assume @p29 (forall (@list @t78 @t29 @t20 @t31 @t48) (not (_ @t101 @t49)))) % 0.48/0.93 (assume @p30 (_ @t102 tptp.rel)) % 0.48/0.93 (assume @p31 (forall (@list @t78 @t103 @t20 @t31 @t48) (=> @t109 (not (or (_ @t105 @t31) (_ @t104 @t31)))))) % 0.48/0.93 (assume @p32 (forall @t63 (=> @t62 (=> @t111 @t60)))) % 0.48/0.93 (assume @p33 (forall (@list @t112 @t78 @t29 @t20) (not (_ @t113 @t100)))) % 0.48/0.93 (assume @p34 (forall (@list @t29 @t103 @t20 @t16) (not (_ (_ tptp.late_transitions (_ @t30 (_ (_ (_ tptp.output @t29) @t103) @t20))) @t16)))) % 0.48/0.93 (assume @p35 (forall @t114 (_ @t105 tptp.late_TauR))) % 0.48/0.93 (assume @p36 (forall @t63 (=> @t62 (=> @t111 @t115)))) % 0.48/0.93 (assume @p37 (forall (@list @t118 @t117 @t116) (=> (forall (@list @t125 @t124 @t119 @t122) (=> (_ @t127 @t122) (=> @t128 (_ @t123 @t126)))) (=> (forall (@list @t120 @t119 @t122) (_ @t123 @t121)) (_ (_ @t118 @t117) @t116))))) % 0.48/0.93 (assume @p38 (forall (@list @t130 @t129 @t116) (=> (forall (@list @t125 @t124 @t119 @t131) (=> (_ (_ tptp.fresh_1641682979reeRes @t124) @t131) (=> @t128 (_ @t132 @t126)))) (=> (forall (@list @t120 @t119 @t131) (_ @t132 @t121)) (_ (_ @t130 @t129) @t116))))) % 0.48/0.93 (assume @p39 (forall (@list @t134 @t133 @t116) (=> (forall (@list @t125 @t124 @t119 @t135) (=> (_ (_ tptp.fresh_name_name @t124) @t135) (=> @t128 (_ @t136 @t126)))) (=> (forall (@list @t120 @t119 @t135) (_ @t136 @t121)) (_ (_ @t134 @t133) @t116))))) % 0.48/0.93 (assume @p40 (forall (@list @t138 @t137 @t116) (=> (forall (@list @t125 @t124 @t119 @t139) (=> (_ (_ tptp.fresh_name_pi @t124) @t139) (=> @t128 (_ @t140 @t126)))) (=> (forall (@list @t120 @t119 @t139) (_ @t140 @t121)) (_ (_ @t138 @t137) @t116))))) % 0.48/0.93 (assume @p41 (forall (@list @t17 @t31 @t141 @t20) (=> @t146 (_ @t145 (_ @t33 @t143))))) % 0.48/0.93 (assume @p42 (forall @t151 (= (_ @t147 @t150) @t149))) % 0.48/0.93 (assume @p43 (forall @t151 (= (_ @t147 @t72) @t149))) % 0.48/0.93 (assume @p44 (forall @t159 (= (_ @t147 @t158) @t157))) % 0.48/0.93 (assume @p45 (forall @t114 (_ @t147 tptp.piNil))) % 0.48/0.93 (assume @p46 (forall (@list @t78 @t75 @t66) (= (_ @t160 @t77) (and (_ @t105 @t75) @t148)))) % 0.48/0.93 (assume @p47 (forall @t73 (= (= @t150 (_ (_ tptp.par @t68) @t65)) @t71))) % 0.48/0.93 (assume @p48 (forall (@list @t155 @t152 @t66 @t163 @t161 @t65) (= (= @t158 (_ (_ (_ tptp.output @t163) @t161) @t65)) (and @t164 @t162 @t67)))) % 0.48/0.93 (assume @p49 (forall (@list @t165 @t166) (= (_ (_ tptp.member558706512_pi_pi @t165) @t167) (_ @t166 @t165)))) % 0.48/0.93 (assume @p50 (forall @t172 (= (_ tptp.collec1051790738_pi_pi (lambda @t171 (_ @t170 @t168))) @t168))) % 0.48/0.93 (assume @p51 (forall @t179 (=> (forall @t178 (= @t177 @t176)) (= @t167 @t174)))) % 0.48/0.93 (assume @p52 (forall @t98 (not (= @t181 @t180)))) % 0.48/0.93 (assume @p53 (forall @t188 (=> @t187 (=> @t111 (=> @t182 @t115))))) % 0.48/0.93 (assume @p54 (forall @t188 (=> @t187 (=> @t111 @t189)))) % 0.48/0.93 (assume @p55 (forall @t195 (=> @t187 (=> @t194 @t192)))) % 0.48/0.93 (assume @p56 (forall @t199 (=> @t198 (=> @t197 @t196)))) % 0.48/0.93 (assume @p57 (forall (@list @t20 @t17 @t183 @t29 @t200 @t201) (=> (_ @t145 (_ @t185 @t200)) (=> @t197 (=> @t194 (=> (forall @t35 (=> @t204 (_ @t201 (_ @t203 @t17)))) (=> (forall (@list @t202) (=> (_ @t18 (_ @t185 @t202)) (_ @t201 (_ @t142 @t202)))) (_ @t201 @t200)))))))) % 0.48/0.93 (assume @p58 (forall (@list @t20 @t17 @t218 @t53 @t48) (=> (_ @t145 @t219) (=> (forall (@list @t42 @t205 @t206 @t28 @t210) (=> @t220 (=> (= @t219 (_ @t215 (_ @t203 @t210))) (=> @t221 @t213)))) (not (forall (@list @t210 @t205 @t206 @t202 @t42) (=> @t220 (=> (= @t219 (_ @t215 (_ @t217 @t202))) (=> (_ (_ tptp.late_transitions @t210) @t216) @t213))))))))) % 0.48/0.93 (assume @p59 (forall (@list @t20 @t16 @t29) (=> @t22 (=> @t197 (_ (_ tptp.fresh_81631222sidual @t29) @t16))))) % 0.48/0.93 (assume @p60 (forall @t195 (=> @t187 (=> @t197 (=> @t194 (=> @t223 @t192)))))) % 0.48/0.93 (assume @p61 (forall @t199 (=> @t198 (=> @t197 (=> @t194 (=> @t223 @t196)))))) % 0.48/0.93 (assume @p62 (forall @t226 (=> @t225 (_ (_ (_ tptp.strong743114133lation @t224) @t112) @t20)))) % 0.48/0.93 (assume @p63 (forall @t231 (=> @t225 (_ (_ (_ tptp.strong743114133lation @t230) @t112) @t228)))) % 0.48/0.93 (assume @p64 (forall @t226 (=> @t225 (_ @t233 @t224)))) % 0.48/0.93 (assume @p65 (forall @t231 (=> @t225 (_ (_ (_ 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@t147 @t239))) % 0.48/0.93 (assume @p76 (forall (@list @t242 @t241 @t90 @t240 @t9) (not (= (_ (_ (_ tptp.late_BoundR @t242) @t241) @t90) (_ (_ tptp.late_FreeR @t240) @t9))))) % 0.48/0.93 (assume @p77 (forall (@list @t243 @t116) (=> (forall (@list @t125 @t124 @t119) (_ @t243 @t126)) (=> (forall (@list @t120 @t119) (_ @t243 @t121)) (_ @t243 @t116))))) % 0.48/0.93 (assume @p78 (forall (@list @t13 @t12 @t96 @t95) (not (= @t14 @t180)))) % 0.48/0.93 (assume @p79 (forall @t98 (not (= @t93 @t180)))) % 0.48/0.93 (assume @p80 (forall (@list @t112 @t29 @t20 @t17) (=> @t225 (=> @t245 (_ (_ (_ tptp.strong743114133lation (_ (_ tptp.sum @t36) @t244)) @t112) (_ @t30 @t24)))))) % 0.48/0.93 (assume @p81 (forall @t99 (not (= tptp.piNil @t180)))) % 0.48/0.93 (assume @p82 (forall (@list @t78 @t103 @t20 @t48) (not (_ @t108 @t247)))) % 0.48/0.93 (assume @p83 (forall @t94 (not (= @t181 @t11)))) % 0.48/0.93 (assume @p84 (forall @t98 (not (= @t181 @t97)))) % 0.48/0.93 (assume @p85 (forall (@list @t92 @t91 @t90 @t82 @t81 @t9) (not (= @t181 @t83)))) % 0.48/0.93 (assume @p86 (forall @t84 (not (= tptp.piNil (_ (_ (_ tptp.output @t82) @t81) @t9))))) % 0.48/0.93 (assume @p87 (forall (@list @t20 @t112) (_ @t233 tptp.piNil))) % 0.48/0.93 (assume @p88 (forall (@list @t29 @t78 @t103 @t20 @t48) (not (_ @t248 @t247)))) % 0.48/0.93 (assume @p89 (forall (@list @t20 @t31 @t48 @t17) (=> @t62 (_ @t145 (_ @t33 @t191))))) % 0.48/0.93 (assume @p90 (forall @t226 (=> @t225 (_ @t233 @t20)))) % 0.48/0.93 (assume @p91 (forall @t255 (=> @t254 (=> @t252 @t250)))) % 0.48/0.93 (assume @p92 (forall @t255 (=> (forall @t178 (=> (_ @t256 @t168) (_ @t256 @t249))) @t254))) % 0.48/0.93 (assume @p93 (forall (@list @t20 @t168 @t48 @t249) (=> (_ (_ @t232 @t168) @t48) (=> @t254 (_ (_ @t232 @t249) @t48))))) % 0.48/0.93 (assume @p94 (forall (@list @t257) (_ @t258 @t257))) % 0.48/0.93 (assume @p95 (forall (@list @t29 @t78 @t103 @t20 @t259 @t53 @t48) (not (_ @t248 (_ (_ (_ tptp.late_BoundR (_ tptp.late_InputS @t259)) @t53) @t48))))) % 0.48/0.93 (assume @p96 (forall (@list @t29 @t78 @t53 @t20 @t103 @t133 @t48) (not (_ @t80 (_ (_ @t260 @t133) @t48))))) % 0.48/0.93 (assume @p97 (forall (@list @t29 @t78 @t20 @t103 @t53 @t48) (not (_ (_ tptp.late_transitions (_ @t30 (_ (_ @t106 @t29) @t20))) (_ (_ tptp.late_FreeR (_ (_ tptp.late_OutputR @t103) @t53)) @t48))))) % 0.48/0.93 (assume @p98 (forall (@list @t152 @t262 @t161 @t261) (= (= @t264 (_ (_ tptp.late_OutputR @t161) @t261)) (and @t162 @t263)))) % 0.48/0.93 (assume @p99 (forall @t266 (= (= @t265 (_ tptp.late_BoundOutputS @t261)) @t263))) % 0.48/0.93 (assume @p100 (forall @t269 (= (_ @t238 @t268) @t267))) % 0.48/0.93 (assume @p101 (forall @t269 (= (_ @t238 @t265) @t267))) % 0.48/0.93 (assume @p102 (forall (@list @t78 @t152 @t262) (= (_ @t105 @t264) (and @t154 @t267)))) % 0.48/0.93 (assume @p103 (forall (@list @t270 @t242) (=> (forall @t271 (_ @t270 (_ tptp.late_InputS @t124))) (=> (forall @t271 (_ @t270 (_ tptp.late_BoundOutputS @t124))) (_ @t270 @t242))))) % 0.48/0.93 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tptp.ord_le630093991_pi_pi @t301) @t300))))) % 0.48/0.93 (assume @p113 (forall @t310 (=> @t309 (=> @t308 @t306)))) % 0.48/0.93 (assume @p114 (forall @t310 (=> @t306 @t309))) % 0.48/0.93 (assume @p115 (forall @t313 (=> @t298 @t312))) % 0.48/0.93 (assume @p116 (forall (@list @t305 @t257) (=> @t308 (= @t309 @t306)))) % 0.48/0.93 (assume @p117 (= @t304 (lambda @t318 (and @t317 @t316)))) % 0.48/0.93 (assume @p118 (forall @t313 (=> @t319 @t312))) % 0.48/0.93 (assume @p119 (forall @t313 (=> @t298 (=> (= @t291 @t284) @t311)))) % 0.48/0.93 (assume @p120 (forall (@list @t286 @t291) (=> @t298 (=> @t320 @t319)))) % 0.48/0.93 (assume @p121 (forall (@list @t257 @t305 @t321) (=> @t309 (=> (_ @t307 @t321) (_ @t258 @t321))))) % 0.48/0.93 (assume @p122 (forall (@list @t286) (_ @t287 @t286))) % 0.48/0.93 (assume @p123 (forall (@list @t291 @t286 @t284) (=> @t320 (=> (_ @t322 @t291) (_ @t322 @t286))))) % 0.48/0.93 (assume @p124 (= @t304 (lambda @t318 (and @t316 @t317)))) % 0.48/0.93 (assume @p125 (forall (@list @t291 @t286) (=> @t320 (=> @t298 @t319)))) % 0.48/0.93 (assume @p126 (forall (@list @t168 @t249 @t323) (=> @t254 (=> (_ @t324 @t168) (_ @t324 @t249))))) % 0.48/0.93 (assume @p127 (forall (@list @t168 @t249 @t325) (=> @t254 (=> (_ @t326 @t168) (_ @t326 @t249))))) % 0.48/0.93 (assume @p128 (forall @t255 (=> @t250 (not (=> @t254 (not @t252)))))) % 0.48/0.93 (assume @p129 (forall @t255 (=> @t250 @t254))) % 0.48/0.93 (assume @p130 (forall @t255 (=> @t250 @t252))) % 0.48/0.93 (assume @p131 (= tptp.ord_le630093991_pi_pi (lambda @t331 (forall (@list @t328) (=> (_ @t329 @t330) (_ @t329 @t327)))))) % 0.48/0.93 (assume @p132 (forall @t172 (_ @t253 @t168))) % 0.48/0.93 (assume @p133 (forall @t179 (=> (forall @t178 (=> @t177 @t176)) @t332))) % 0.48/0.93 (assume @p134 (forall (@list @t168 @t249 @t333) (=> @t254 (=> (_ @t251 @t333) (_ @t253 @t333))))) % 0.48/0.93 (assume @p135 (= @t304 (lambda @t331 (and (_ (_ tptp.ord_le630093991_pi_pi @t330) @t327) (_ (_ tptp.ord_le630093991_pi_pi @t327) 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(@list @t259 @t353) (= (_ (_ (_ tptp.subs tptp.piNil) @t259) @t353) tptp.piNil))) % 0.48/0.93 (assume @p159 (forall (@list @t78 @t20 @t103) (=> @t394 (= @t391 @t20)))) % 0.48/0.93 (assume @p160 (forall (@list @t78 @t20 @t259 @t103) (=> @t394 (=> @t354 (_ @t147 (_ (_ @t381 @t103) @t259)))))) % 0.48/0.93 (assume @p161 (forall @t352 (=> @t278 (_ @t147 @t391)))) % 0.48/0.93 (assume @p162 (forall @t396 (=> @t393 (= (_ (_ (_ tptp.subs @t239) @t78) @t103) @t395)))) % 0.48/0.93 (assume @p163 (forall @t396 (=> @t393 (= @t239 @t395)))) % 0.48/0.93 (assume @p164 (forall (@list @t397) (=> (forall (@list @t399 @t398) (not (= @t397 (_ (_ tptp.late_OutputR @t399) @t398)))) (= @t397 tptp.late_TauR)))) % 0.48/0.93 (assume @p165 (forall (@list @t386 @t384) (not (= @t387 tptp.late_TauR)))) % 0.48/0.93 (assume @p166 (forall (@list @t401) (=> (forall (@list @t402) (not (= @t401 (_ tptp.late_InputS @t402)))) (not (forall (@list @t400) (not (= @t401 (_ tptp.late_BoundOutputS @t400)))))))) % 0.48/0.93 (assume @p167 (forall (@list @t262 @t152) (not (= @t268 @t380)))) % 0.48/0.93 (assume @p168 (forall @t405 (=> @t378 (=> @t404 @t403)))) % 0.48/0.93 (assume @p169 (forall @t407 (=> @t282 (=> @t370 @t406)))) % 0.48/0.93 (assume @p170 (forall @t405 (=> @t378 (=> @t404 (=> @t197 (=> @t194 (=> @t363 (=> @t408 (=> @t376 @t403))))))))) % 0.48/0.93 (assume @p171 (forall @t407 (=> @t282 (=> @t370 (=> @t197 (=> @t194 (=> @t363 (=> @t408 (=> @t368 @t406))))))))) % 0.48/0.93 (assume @p172 (forall (@list @t112 @t17 @t29 @t20 @t420) (=> @t245 (=> @t426 (=> (forall @t424 (=> @t423 (=> @t422 (=> @t421 (=> (_ @t334 @t420) @t419))))) @t415))))) % 0.48/0.93 (assume @p173 (forall (@list @t112 @t17 @t29 @t20 @t427) (=> @t245 (=> @t426 (=> (forall @t424 (=> @t423 (=> @t422 (=> @t421 (=> (_ @t40 @t427) @t419))))) @t415))))) % 0.48/0.93 (assume @p174 (forall (@list @t112 @t17 @t29 @t20 @t428) (=> @t245 (=> @t426 (=> (forall @t424 (=> @t423 (=> @t422 (=> @t421 (=> (_ (_ tptp.fresh_name_name @t39) @t428) @t419))))) @t415))))) % 0.48/0.93 (assume @p175 (forall (@list @t112 @t17 @t29 @t20 @t429) (=> @t245 (=> @t426 (=> (forall @t424 (=> @t423 (=> @t422 (=> @t421 (=> (_ @t430 @t429) @t419))))) @t415))))) % 0.48/0.93 (assume @p176 (forall (@list @t20 @t112 @t17 @t183 @t29 @t141) (=> @t431 (=> @t198 (=> @t197 (exists @t35 (and @t204 (_ (_ (_ (_ (_ tptp.strong2129052853vative @t28) @t141) @t183) @t29) @t112)))))))) % 0.48/0.93 (assume @p177 (forall (@list @t112 @t17 @t20 @t420) (=> @t245 (=> (forall @t438 (=> @t437 (=> @t436 (=> @t435 (=> @t208 (=> (_ @t207 @t420) @t434)))))) @t432)))) % 0.48/0.93 (assume @p178 (forall (@list @t112 @t17 @t20 @t427) (=> @t245 (=> (forall @t438 (=> @t437 (=> @t436 (=> @t435 (=> @t208 (=> (_ (_ tptp.fresh_1641682979reeRes @t206) @t427) @t434)))))) @t432)))) % 0.48/0.93 (assume @p179 (forall (@list @t112 @t17 @t20 @t428) (=> @t245 (=> (forall @t438 (=> @t437 (=> @t436 (=> @t435 (=> @t208 (=> (_ (_ tptp.fresh_name_name @t206) @t428) @t434)))))) @t432)))) % 0.48/0.93 (assume @p180 (forall (@list @t112 @t17 @t20 @t429) (=> @t245 (=> (forall @t438 (=> @t437 (=> @t436 (=> @t435 (=> @t208 (=> (_ @t211 @t429) @t434)))))) @t432)))) % 0.48/0.93 (assume @p181 (forall (@list @t20 @t17 @t183 @t29 @t168 @t249) (=> (_ @t440 @t168) (=> @t254 (_ @t440 @t249))))) % 0.48/0.93 (assume @p182 (forall (@list @t17 @t20 @t112) (=> (forall (@list @t205 @t39 @t202) (=> @t423 (=> (_ @t430 @t20) (exists @t413 (and @t418 (_ (_ @t433 @t39) @t112)))))) @t432))) % 0.48/0.93 (assume @p183 (forall (@list @t20 @t112 @t17 @t31 @t141) (=> @t431 (=> @t146 (exists @t35 (and @t34 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t28) @t141)) @t112))))))) % 0.48/0.93 (assume @p184 (forall (@list @t112 @t20 @t183 @t29) (=> @t225 (_ (_ (_ (_ @t439 @t20) @t183) @t29) @t112)))) % 0.48/0.93 (assume @p185 (forall @t447 (= @t446 @t443))) % 0.48/0.93 (assume @p186 (forall @t454 (= @t453 @t450))) % 0.48/0.93 (assume @p187 (forall (@list @t442) (_ (_ tptp.member1632198138ion_pi (_ @t444 @t442)) tptp.id_name_noption_pi))) % 0.48/0.93 (assume @p188 (forall (@list @t449) (_ (_ tptp.member558706512_pi_pi (_ @t451 @t449)) tptp.id_pi))) % 0.48/0.93 (assume @p189 (forall (@list @t456 @t455) (=> (forall @t461 (=> (_ @t460 @t456) (_ @t460 @t455))) (_ (_ tptp.ord_le1705144730ubject @t456) @t455)))) % 0.48/0.93 (assume @p190 (forall (@list @t463 @t462) (=> (forall @t467 (=> (_ @t466 @t463) (_ @t466 @t462))) (_ (_ tptp.ord_le1762471042reeRes @t463) @t462)))) % 0.48/0.93 (assume @p191 (forall (@list @t469 @t468) (=> (forall @t472 (=> (_ @t471 @t469) (_ @t471 @t468))) (_ (_ tptp.ord_le2082425291i_name @t469) @t468)))) % 0.48/0.93 (assume @p192 (forall (@list @t474 @t473) (=> (forall @t478 (=> (_ @t477 @t474) (_ @t477 @t473))) (_ (_ tptp.ord_le1854926745_pi_pi @t474) @t473)))) % 0.48/0.93 (assume @p193 (forall (@list @t480 @t479) (=> (forall @t485 (=> (_ @t484 @t480) (_ @t484 @t479))) (_ (_ tptp.ord_le1032043601ion_pi @t480) @t479)))) % 0.48/0.93 (assume @p194 (forall (@list @t487 @t486) (=> (forall @t492 (=> (_ @t491 @t487) (_ @t491 @t486))) (_ (_ tptp.ord_le630093991_pi_pi @t487) @t486)))) % 0.48/0.93 (assume @p195 (forall @t494 (=> (_ (_ tptp.member1632198138ion_pi @t493) tptp.id_name_noption_pi) (not (forall (@list @t458) (not (= @t493 (_ @t482 @t458)))))))) % 0.48/0.93 (assume @p196 (forall @t496 (=> (_ (_ tptp.member558706512_pi_pi @t495) tptp.id_pi) (not (forall (@list @t488) (not (= @t495 (_ @t489 @t488)))))))) % 0.48/0.93 (assume @p197 (forall (@list @t78 @t85 @t401) (= (_ (_ tptp.fresh_495373993ubject @t78) (_ (_ tptp.produc1465345179ubject @t85) @t401)) (and @t498 @t497)))) % 0.48/0.93 (assume @p198 (forall (@list @t78 @t85 @t397) (= (_ (_ tptp.fresh_1638563217reeRes @t78) (_ (_ tptp.produc242091907reeRes @t85) @t397)) (and @t498 @t499)))) % 0.48/0.93 (assume @p199 (forall (@list @t78 @t85 @t53) (= (_ (_ tptp.fresh_1953561446t_name @t78) (_ (_ tptp.produc1647375838t_name @t85) @t53)) (and @t498 @t500)))) % 0.48/0.93 (assume @p200 (forall (@list @t78 @t85 @t501) (= (_ (_ tptp.fresh_994896692ect_pi @t78) (_ (_ tptp.produc324947500ect_pi @t85) @t501)) (and @t498 @t502)))) % 0.48/0.93 (assume @p201 (forall (@list @t78 @t88 @t401) (= (_ (_ tptp.fresh_1498103185ubject @t78) (_ (_ tptp.produc320590723ubject @t88) @t401)) (and @t503 @t497)))) % 0.48/0.93 (assume @p202 (forall (@list @t78 @t88 @t397) (= (_ (_ tptp.fresh_493808761reeRes @t78) (_ (_ tptp.produc1244821099reeRes @t88) @t397)) (and @t503 @t499)))) % 0.48/0.93 (assume @p203 (forall (@list @t78 @t88 @t53) (= (_ (_ tptp.fresh_2007541374s_name @t78) (_ (_ tptp.produc1701355766s_name @t88) @t53)) (and @t503 @t500)))) % 0.48/0.93 (assume @p204 (forall (@list @t78 @t88 @t501) (= (_ (_ tptp.fresh_1847501388Res_pi @t78) (_ (_ tptp.produc1177552196Res_pi @t88) @t501)) (and @t503 @t502)))) % 0.48/0.93 (assume @p205 (forall (@list @t78 @t29 @t401) (= (_ (_ tptp.fresh_820177506ubject @t78) (_ (_ tptp.produc607574050ubject @t29) @t401)) (and @t504 @t497)))) % 0.48/0.93 (assume @p206 (forall (@list @t78 @t29 @t397) (= (_ (_ tptp.fresh_1963366730reeRes @t78) (_ (_ tptp.produc1531804426reeRes @t29) @t397)) (and @t504 @t499)))) % 0.48/0.93 (assume @p207 (forall @t510 (= @t509 (and @t508 @t506)))) % 0.48/0.93 (assume @p208 (forall @t515 (= @t514 (and @t508 @t513)))) % 0.48/0.93 (assume @p209 (forall @t519 (= @t518 (and @t508 @t517)))) % 0.48/0.93 (assume @p210 (forall @t523 (= @t522 (and @t508 @t521)))) % 0.48/0.93 (assume @p211 (forall @t527 (= @t526 (and @t508 @t525)))) % 0.48/0.93 (assume @p212 (forall @t531 (= @t530 (and @t529 @t521)))) % 0.48/0.93 (assume @p213 (forall (@list @t535 @t533 @t534 @t532) (= (= (_ (_ tptp.produc581368530ubject @t535) @t533) (_ (_ tptp.produc581368530ubject @t534) @t532)) (and @t536 (= @t533 @t532))))) % 0.48/0.93 (assume @p214 (forall (@list @t535 @t75 @t534 @t74) (= (= (_ (_ tptp.produc1505598906reeRes @t535) @t75) (_ (_ tptp.produc1505598906reeRes @t534) @t74)) (and @t536 @t76)))) % 0.48/0.93 (assume @p215 (forall (@list @t535 @t152 @t534 @t161) (= (= (_ (_ tptp.produc540578151i_name @t535) @t152) (_ (_ tptp.produc540578151i_name @t534) @t161)) (and @t536 @t162)))) % 0.48/0.93 (assume @p216 (forall (@list @t535 @t69 @t534 @t68) (= (= (_ (_ tptp.produc1820286517_pi_pi @t535) @t69) (_ (_ tptp.produc1820286517_pi_pi @t534) @t68)) (and @t536 @t70)))) % 0.48/0.93 (assume @p217 (forall (@list @t535 @t538 @t534 @t537) (= (= (_ (_ tptp.produc1342893193ion_pi @t535) @t538) (_ (_ tptp.produc1342893193ion_pi @t534) @t537)) (and @t536 (= @t538 @t537))))) % 0.48/0.93 (assume @p218 (forall (@list @t66 @t69 @t65 @t68) (= (= (_ (_ tptp.product_Pair_pi_pi @t66) @t69) (_ (_ tptp.product_Pair_pi_pi @t65) @t68)) (and @t67 @t70)))) % 0.48/0.93 (assume @p219 (forall (@list @t539) (exists @t461 (= @t539 @t459)))) % 0.48/0.93 (assume @p220 (forall (@list @t540) (exists @t467 (= @t540 @t465)))) % 0.48/0.93 (assume @p221 (forall (@list @t541) (exists @t472 (= @t541 @t470)))) % 0.48/0.93 (assume @p222 (forall (@list @t542) (exists @t478 (= @t542 @t476)))) % 0.48/0.93 (assume @p223 (forall @t494 (exists @t485 (= @t493 @t483)))) % 0.48/0.93 (assume @p224 (forall @t496 (exists @t492 (= @t495 @t490)))) % 0.48/0.93 (assume @p225 (forall (@list @t543 @t539) (=> @t548 (_ @t543 @t539)))) % 0.48/0.93 (assume @p226 (forall (@list @t549 @t540) (=> @t553 (_ @t549 @t540)))) % 0.48/0.93 (assume @p227 (forall (@list @t554 @t541) (=> @t557 (_ @t554 @t541)))) % 0.48/0.93 (assume @p228 (forall (@list @t558 @t542) (=> @t562 (_ @t558 @t542)))) % 0.48/0.93 (assume @p229 (forall (@list @t563 @t493) (=> @t567 (_ @t563 @t493)))) % 0.48/0.93 (assume @p230 (forall (@list @t166 @t495) (=> @t571 (_ @t166 @t495)))) % 0.48/0.93 (assume @p231 (forall @t510 (=> @t509 (not (=> @t508 (not @t506)))))) % 0.48/0.93 (assume @p232 (forall @t515 (=> @t514 (not (=> @t508 (not @t513)))))) % 0.48/0.93 (assume @p233 (forall @t519 (=> @t518 (not (=> @t508 (not @t517)))))) % 0.48/0.93 (assume @p234 (forall @t523 (=> @t522 (not (=> @t508 @t572))))) % 0.48/0.93 (assume @p235 (forall @t527 (=> @t526 (not (=> @t508 (not @t525)))))) % 0.48/0.93 (assume @p236 (forall @t531 (=> @t530 (not (=> @t529 @t572))))) % 0.48/0.93 (assume @p237 (forall (@list @t573) (not (forall @t547 (not (= @t573 @t546)))))) % 0.48/0.93 (assume @p238 (forall (@list @t574) (not (forall @t552 (not (= @t574 @t551)))))) % 0.48/0.93 (assume @p239 (forall (@list @t575) (not (forall @t556 (not (= @t575 @t555)))))) % 0.48/0.93 (assume @p240 (forall (@list @t576) (not (forall @t561 (not (= @t576 @t560)))))) % 0.48/0.93 (assume @p241 (forall (@list @t577) (not (forall @t566 (not (= @t577 @t565)))))) % 0.48/0.93 (assume @p242 (forall (@list @t578) (not (forall @t570 (not (= @t578 @t569)))))) % 0.48/0.93 (assume @p243 (forall (@list @t543 @t579) (=> @t548 (_ @t543 @t579)))) % 0.48/0.93 (assume @p244 (forall (@list @t549 @t580) (=> @t553 (_ @t549 @t580)))) % 0.48/0.93 (assume @p245 (forall (@list @t554 @t581) (=> @t557 (_ @t554 @t581)))) % 0.48/0.93 (assume @p246 (forall (@list @t558 @t582) (=> @t562 (_ @t558 @t582)))) % 0.48/0.93 (assume @p247 (forall (@list @t563 @t583) (=> @t567 (_ @t563 @t583)))) % 0.48/0.93 (assume @p248 (forall (@list @t166 @t584) (=> @t571 (_ @t166 @t584)))) % 0.48/0.93 (assume @p249 (forall @t587 (=> @t586 @t497))) % 0.48/0.93 (assume @p250 (forall @t589 (=> @t588 @t499))) % 0.48/0.93 (assume @p251 (forall @t591 (=> @t590 @t500))) % 0.48/0.93 (assume @p252 (forall @t593 (=> @t592 @t502))) % 0.48/0.93 (assume @p253 (forall @t597 (=> @t596 (_ @t595 @t594)))) % 0.48/0.93 (assume @p254 (forall @t599 (=> @t598 @t502))) % 0.48/0.93 (assume @p255 (forall @t587 (=> @t586 @t600))) % 0.48/0.93 (assume @p256 (forall @t589 (=> @t588 @t600))) % 0.48/0.93 (assume @p257 (forall @t591 (=> @t590 @t600))) % 0.48/0.93 (assume @p258 (forall @t593 (=> @t592 @t600))) % 0.48/0.93 (assume @p259 (forall @t597 (=> @t596 @t600))) % 0.48/0.93 (assume @p260 (forall @t599 (=> @t598 (_ @t147 @t89)))) % 0.48/0.93 (assume @p261 (forall @t447 (=> @t446 @t443))) % 0.48/0.93 (assume @p262 (forall @t454 (=> @t453 @t450))) % 0.48/0.93 (assume @p263 (forall (@list @t29 @t20 @t78 @t103 @t48) (not (_ @t602 @t281)))) % 0.48/0.93 (assume @p264 (forall (@list @t78 @t605 @t262 @t69) (= (_ @t160 @t606) (and (_ @t238 @t605) @t604)))) % 0.48/0.93 (assume @p265 (forall (@list @t78 @t66) (= (_ @t147 @t607) @t148))) % 0.48/0.93 (assume @p266 (forall (@list @t20 @t259 @t353) (= (_ (_ (_ tptp.subs @t601) @t259) @t353) (_ tptp.tau @t388)))) % 0.48/0.93 (assume @p267 (forall (@list @t78 @t262 @t69) (= (_ @t147 @t608) @t604))) % 0.48/0.93 (assume @p268 (forall (@list @t78 @t155 @t262 @t69) (= (_ @t147 @t609) (and @t156 @t604)))) % 0.48/0.93 (assume @p269 (forall (@list @t103 @t78 @t85) (= (_ (_ tptp.fresh_728038529ubject @t103) (_ (_ tptp.abs_fu1904601852ubject @t78) @t85)) (or @t610 (_ (_ tptp.fresh_717452603ubject @t103) @t85))))) % 0.48/0.93 (assume @p270 (forall (@list @t103 @t78 @t88) (= (_ (_ tptp.fresh_785364841reeRes @t103) (_ (_ tptp.abs_fu681348580reeRes @t78) @t88)) (or @t610 (_ @t104 @t88))))) % 0.48/0.93 (assume @p271 (forall (@list @t103 @t78 @t29) (= (_ (_ tptp.fresh_1093033124n_name @t103) (_ (_ tptp.abs_fun_name_name @t78) @t29)) (or @t610 (_ (_ tptp.fresh_name_name @t103) @t29))))) % 0.48/0.93 (assume @p272 (forall (@list @t103 @t78 @t89) (= (_ (_ tptp.fresh_543891186ion_pi @t103) (_ (_ tptp.abs_fun_name_pi @t78) @t89)) (or @t610 (_ @t392 @t89))))) % 0.48/0.93 (assume @p273 (forall (@list @t66 @t65) (= (= @t607 (_ tptp.tau @t65)) @t67))) % 0.48/0.93 (assume @p274 (forall (@list @t9) (not (= tptp.piNil @t611)))) % 0.48/0.93 (assume @p275 (forall (@list @t92 @t91 @t90 @t9) (not (= @t181 @t611)))) % 0.48/0.93 (assume @p276 (forall @t613 (not (= @t612 @t83)))) % 0.48/0.93 (assume @p277 (forall @t614 (not (= @t612 @t97)))) % 0.48/0.93 (assume @p278 (forall @t614 (not (= @t612 @t180)))) % 0.48/0.93 (assume @p279 (forall (@list @t90 @t10 @t9) (not (= @t612 @t11)))) % 0.48/0.93 (assume @p280 (forall (@list @t155 @t262 @t69 @t163 @t261 @t68) (= (= @t609 (_ (_ (_ tptp.input @t163) @t261) @t68)) (and @t164 @t615)))) % 0.48/0.93 (assume @p281 (forall (@list @t605 @t262 @t69 @t616 @t261 @t68) (= (= @t606 (_ (_ (_ tptp.late_BoundR @t616) @t261) @t68)) (and (= @t605 @t616) @t615)))) % 0.48/0.93 (assume @p282 (forall (@list @t262 @t69 @t261 @t68) (= (= @t608 (_ (_ tptp.res @t261) @t68)) @t615))) % 0.48/0.93 (assume @p283 (forall (@list @t20 @t183 @t29 @t48) (not (_ @t617 @t186)))) % 0.48/0.93 (assume @p284 (forall @t226 (not (_ @t113 @t601)))) % 0.48/0.93 (assume @p285 (forall (@list @t29 @t20 @t183 @t53 @t48) (not (_ @t602 (_ (_ @t184 @t53) @t48))))) % 0.48/0.93 (assume @p286 (forall @t283 (not (_ @t617 @t281)))) % 0.48/0.93 (assume @p287 (forall (@list @t20 @t31 @t48 @t358) (=> (_ @t617 @t49) (=> (=> (= @t31 tptp.late_TauR) (=> @t360 (_ (_ @t358 tptp.late_TauR) @t20))) @t359)))) % 0.48/0.93 (assume @p288 (forall (@list @t20 @t16) (=> (_ @t617 @t16) (not (forall (@list @t42) (=> (= @t601 (_ tptp.tau @t42)) (not (= @t16 (_ @t246 @t42))))))))) % 0.48/0.93 (assume @p289 (forall (@list @t20) (_ @t617 (_ @t246 @t20)))) % 0.48/0.93 (assume @p290 (forall @t357 (=> (_ (_ tptp.late_transitions (_ (_ @t79 @t103) @t20)) @t16) (not (forall (@list @t206 @t343 @t42) (=> (and @t355 (= (_ (_ tptp.abs_fun_name_pi @t103) @t20) (_ (_ tptp.abs_fun_name_pi @t206) @t42))) (=> (= @t16 (_ (_ (_ tptp.late_BoundR (_ tptp.late_InputS @t343)) @t206) @t42)) (= @t206 @t343)))))))) % 0.48/0.93 (assume @p291 (forall @t236 (=> @t225 (=> @t278 (_ @t233 @t619))))) % 0.48/0.93 (assume @p292 (forall @t236 (=> @t225 (=> @t278 (_ (_ (_ tptp.strong743114133lation @t619) @t112) @t20))))) % 0.48/0.93 (assume @p293 (forall @t159 (= (_ @t147 (_ (_ (_ tptp.mismatch @t155) @t152) @t66)) @t157))) % 0.48/0.93 (assume @p294 (forall @t613 (not (= @t612 (_ (_ (_ tptp.mismatch @t82) @t81) @t9))))) % 0.48/0.93 (assume @p295 (forall (@list @t78 @t103 @t20 @t16 @t620) (=> @t622 (=> (=> @t22 (=> @t278 @t621)) @t621)))) % 0.48/0.93 (assume @p296 (forall (@list @t78 @t20 @t16) (not (_ (_ tptp.late_transitions (_ (_ @t618 @t78) @t20)) @t16)))) % 0.48/0.93 (assume @p297 (forall @t357 (=> @t622 (not (forall @t351 (=> @t356 (=> (_ @t43 @t16) @t344))))))) % 0.48/0.93 (assume @p298 (forall (@list @t20 @t16 @t78 @t103) (=> @t22 (=> @t278 @t622)))) % 0.48/0.93 (assume @p299 (forall @t94 (not (= @t623 @t11)))) % 0.48/0.93 (assume @p300 (forall @t98 (not (= @t623 @t180)))) % 0.48/0.93 (assume @p301 @t628) % 0.48/0.93 (assume @p302 true) % 0.48/0.93 (step @p303 (= tptp.fresh_name_name @t631) :rule refl :args (@t631)) % 0.48/0.93 (step @p304 (= tptp.ord_le630093991_pi_pi @t632) :rule refl :args (@t632)) % 0.48/0.93 (step @p305 (= tptp.strong743114133lation @t646) :rule refl :args (@t646)) % 0.48/0.93 (step @p306 :rule refl :args ((tptp.late_transitions @t57 @t56))) % 0.48/0.93 (step @p307 :rule refl :args ((tptp.late_FreeR @t31 @t55))) % 0.48/0.93 (step @p308 :rule refl :args (@t647)) % 0.48/0.93 (step @p309 :rule refl :args (@t31)) % 0.48/0.93 (step @p310 :rule cong :premises (@p309 @p308) :args (@t648)) % 0.48/0.93 (step @p311 :rule trans :premises (@p310 @p307)) % 0.48/0.93 (step @p312 :rule refl :args (@t649)) % 0.48/0.93 (step @p313 :rule cong :premises (@p312 @p311) :args (@t650)) % 0.48/0.93 (step @p314 :rule trans :premises (@p313 @p306)) % 0.48/0.93 (step @p315 :rule refl :args (tptp.late_transitions)) % 0.48/0.93 (step @p316 :rule ho_cong :premises (@p315 @p312)) % 0.48/0.93 (step @p317 :rule ho_cong :premises (@p316 @p311)) % 0.48/0.93 (step @p318 :rule cong :premises (@p317 @p314) :args ((= (_ (_ tptp.late_transitions @t649) @t648) @t650))) % 0.48/0.93 (step @p319 :rule symm :premises (@p318)) % 0.48/0.93 (step @p320 :rule refl :args (@t59)) % 0.48/0.93 (step @p321 :rule eq_resolve :premises (@p320 @p319)) % 0.48/0.93 (step @p322 :rule refl :args (@t33)) % 0.48/0.93 (step @p323 :rule ho_cong :premises (@p322 @p308)) % 0.48/0.93 (step @p324 :rule cong :premises (@p323 @p311) :args ((= (_ @t33 @t647) @t648))) % 0.48/0.93 (step @p325 :rule symm :premises (@p324)) % 0.48/0.93 (step @p326 :rule refl :args (@t56)) % 0.48/0.93 (step @p327 :rule eq_resolve :premises (@p326 @p325)) % 0.48/0.93 (step @p328 :rule refl :args (@t55)) % 0.48/0.93 (step @p329 :rule cong :premises (@p328 @p308) :args ((= @t55 @t647))) % 0.48/0.93 (step @p330 :rule symm :premises (@p329)) % 0.48/0.93 (step @p331 :rule eq_resolve :premises (@p328 @p330)) % 0.48/0.93 (step @p332 :rule ho_cong :premises (@p322 @p331)) % 0.48/0.93 (step @p333 :rule trans :premises (@p332 @p327)) % 0.48/0.93 (step @p334 :rule refl :args (@t57)) % 0.48/0.93 (step @p335 :rule cong :premises (@p334 @p312) :args ((= @t57 @t649))) % 0.48/0.93 (step @p336 :rule symm :premises (@p335)) % 0.48/0.93 (step @p337 :rule eq_resolve :premises (@p334 @p336)) % 0.48/0.93 (step @p338 :rule ho_cong :premises (@p315 @p337)) % 0.48/0.93 (step @p339 :rule ho_cong :premises (@p338 @p333)) % 0.48/0.93 (step @p340 :rule trans :premises (@p339 @p321)) % 0.48/0.93 (step @p341 :rule refl :args (@t651)) % 0.48/0.93 (step @p342 :rule refl :args (@t60)) % 0.48/0.93 (step @p343 :rule cong :premises (@p342 @p341) :args ((= @t60 @t651))) % 0.48/0.93 (step @p344 :rule symm :premises (@p343)) % 0.48/0.93 (step @p345 :rule eq_resolve :premises (@p342 @p344)) % 0.48/0.93 (step @p346 :rule cong :premises (@p345) :args (@t652)) % 0.48/0.93 (step @p347 :rule refl :args ((tptp.late_transitions @t20 @t49))) % 0.48/0.93 (step @p348 :rule refl :args (@t653)) % 0.48/0.93 (step @p349 :rule refl :args (@t20)) % 0.48/0.93 (step @p350 :rule cong :premises (@p349 @p348) :args (@t654)) % 0.48/0.93 (step @p351 :rule trans :premises (@p350 @p347)) % 0.48/0.93 (step @p352 :rule refl :args (@t21)) % 0.48/0.93 (step @p353 :rule ho_cong :premises (@p352 @p348)) % 0.48/0.93 (step @p354 :rule cong :premises (@p353 @p351) :args ((= (_ @t21 @t653) @t654))) % 0.48/0.93 (step @p355 :rule symm :premises (@p354)) % 0.48/0.93 (step @p356 :rule refl :args (@t62)) % 0.48/0.93 (step @p357 :rule eq_resolve :premises (@p356 @p355)) % 0.48/0.93 (step @p358 :rule refl :args (@t49)) % 0.48/0.93 (step @p359 :rule cong :premises (@p358 @p348) :args ((= @t49 @t653))) % 0.48/0.93 (step @p360 :rule symm :premises (@p359)) % 0.48/0.93 (step @p361 :rule eq_resolve :premises (@p358 @p360)) % 0.48/0.93 (step @p362 :rule ho_cong :premises (@p352 @p361)) % 0.48/0.93 (step @p363 :rule trans :premises (@p362 @p357)) % 0.48/0.93 (step @p364 :rule cong :premises (@p363) :args (@t655)) % 0.48/0.93 (step @p365 :rule nary_cong :premises (@p364 @p346 @p340) :args (@t656)) % 0.48/0.93 (step @p366 :rule cong :premises (@p365) :args ((forall @t63 @t656))) % 0.48/0.93 (step @p367 :rule aci_norm :args ((= (or @t655 (or @t652 @t59)) @t656))) % 0.48/0.93 (step @p368 :rule bool-impl-elim :args (@t60 @t59)) % 0.48/0.93 (step @p369 :rule refl :args (@t655)) % 0.48/0.93 (step @p370 :rule nary_cong :premises (@p369 @p368) :args ((or @t655 @t61))) % 0.48/0.93 (step @p371 :rule trans :premises (@p370 @p367)) % 0.48/0.93 (step @p372 :rule bool-impl-elim :args (@t62 @t61)) % 0.48/0.93 (step @p373 :rule trans :premises (@p372 @p371)) % 0.48/0.93 (step @p374 :rule cong :premises (@p373) :args (@t64)) % 0.48/0.93 (step @p375 :rule trans :premises (@p374 @p366)) % 0.48/0.93 (step @p376 :rule eq_resolve :premises (@p13 @p375)) % 0.48/0.93 (step @p377 :rule refl :args ((tptp.late_transitions @t4 @t3))) % 0.48/0.93 (step @p378 :rule refl :args (@t657)) % 0.48/0.93 (step @p379 :rule refl :args (@t658)) % 0.48/0.93 (step @p380 :rule cong :premises (@p379 @p378) :args (@t659)) % 0.48/0.93 (step @p381 :rule trans :premises (@p380 @p377)) % 0.48/0.93 (step @p382 :rule ho_cong :premises (@p315 @p379)) % 0.48/0.93 (step @p383 :rule ho_cong :premises (@p382 @p378)) % 0.48/0.93 (step @p384 :rule cong :premises (@p383 @p381) :args ((= (_ (_ tptp.late_transitions @t658) @t657) @t659))) % 0.48/0.93 (step @p385 :rule symm :premises (@p384)) % 0.48/0.93 (step @p386 :rule refl :args (@t5)) % 0.48/0.93 (step @p387 :rule eq_resolve :premises (@p386 @p385)) % 0.48/0.93 (step @p388 :rule refl :args (@t3)) % 0.48/0.93 (step @p389 :rule cong :premises (@p388 @p378) :args ((= @t3 @t657))) % 0.48/0.93 (step @p390 :rule symm :premises (@p389)) % 0.48/0.93 (step @p391 :rule eq_resolve :premises (@p388 @p390)) % 0.48/0.93 (step @p392 :rule refl :args (@t4)) % 0.48/0.93 (step @p393 :rule cong :premises (@p392 @p379) :args ((= @t4 @t658))) % 0.48/0.93 (step @p394 :rule symm :premises (@p393)) % 0.48/0.93 (step @p395 :rule eq_resolve :premises (@p392 @p394)) % 0.48/0.93 (step @p396 :rule refl :args (tptp.late_transitions)) % 0.48/0.93 (step @p397 :rule ho_cong :premises (@p396 @p395)) % 0.48/0.93 (step @p398 :rule ho_cong :premises (@p397 @p391)) % 0.48/0.93 (step @p399 :rule trans :premises (@p398 @p387)) % 0.48/0.93 (step @p400 :rule eq_resolve :premises (@p3 @p399)) % 0.48/0.93 (step @p401 :rule refl :args (@t660)) % 0.48/0.93 (step @p402 :rule refl :args (@t1)) % 0.48/0.93 (step @p403 :rule cong :premises (@p402 @p401) :args ((= @t1 @t660))) % 0.48/0.93 (step @p404 :rule symm :premises (@p403)) % 0.48/0.93 (step @p405 :rule eq_resolve :premises (@p402 @p404)) % 0.48/0.93 (step @p406 :rule eq_resolve :premises (@p1 @p405)) % 0.48/0.93 (step @p407 :rule refl :args ((tptp.late_transitions @t626 @t625))) % 0.48/0.93 (step @p408 :rule refl :args ((tptp.late_FreeR tptp.alpha @t624))) % 0.48/0.93 (step @p409 :rule refl :args (@t661)) % 0.48/0.93 (step @p410 :rule refl :args (tptp.alpha)) % 0.48/0.93 (step @p411 :rule cong :premises (@p410 @p409) :args (@t662)) % 0.48/0.93 (step @p412 :rule trans :premises (@p411 @p408)) % 0.48/0.93 (step @p413 :rule refl :args ((tptp.res tptp.x @t4))) % 0.48/0.93 (step @p414 :rule refl :args (tptp.x)) % 0.48/0.93 (step @p415 :rule cong :premises (@p414 @p379) :args (@t663)) % 0.48/0.93 (step @p416 :rule trans :premises (@p415 @p413)) % 0.48/0.93 (step @p417 :rule cong :premises (@p416 @p412) :args (@t664)) % 0.48/0.93 (step @p418 :rule trans :premises (@p417 @p407)) % 0.48/0.93 (step @p419 :rule ho_cong :premises (@p315 @p416)) % 0.48/0.93 (step @p420 :rule ho_cong :premises (@p419 @p412)) % 0.48/0.93 (step @p421 :rule cong :premises (@p420 @p418) :args ((= (_ (_ tptp.late_transitions @t663) @t662) @t664))) % 0.48/0.93 (step @p422 :rule symm :premises (@p421)) % 0.48/0.93 (step @p423 :rule refl :args (@t627)) % 0.48/0.93 (step @p424 :rule eq_resolve :premises (@p423 @p422)) % 0.48/0.93 (step @p425 :rule refl :args (@t2)) % 0.48/0.93 (step @p426 :rule ho_cong :premises (@p425 @p409)) % 0.48/0.93 (step @p427 :rule cong :premises (@p426 @p412) :args ((= (_ @t2 @t661) @t662))) % 0.48/0.93 (step @p428 :rule symm :premises (@p427)) % 0.48/0.93 (step @p429 :rule refl :args (@t625)) % 0.48/0.93 (step @p430 :rule eq_resolve :premises (@p429 @p428)) % 0.48/0.93 (step @p431 :rule refl :args (@t624)) % 0.48/0.93 (step @p432 :rule cong :premises (@p431 @p409) :args ((= @t624 @t661))) % 0.48/0.93 (step @p433 :rule symm :premises (@p432)) % 0.48/0.93 (step @p434 :rule eq_resolve :premises (@p431 @p433)) % 0.48/0.93 (step @p435 :rule refl :args (@t2)) % 0.48/0.93 (step @p436 :rule ho_cong :premises (@p435 @p434)) % 0.48/0.93 (step @p437 :rule trans :premises (@p436 @p430)) % 0.48/0.93 (step @p438 :rule refl :args (@t7)) % 0.48/0.93 (step @p439 :rule ho_cong :premises (@p438 @p379)) % 0.48/0.93 (step @p440 :rule cong :premises (@p439 @p416) :args ((= (_ @t7 @t658) @t663))) % 0.48/0.93 (step @p441 :rule symm :premises (@p440)) % 0.48/0.93 (step @p442 :rule refl :args (@t626)) % 0.48/0.93 (step @p443 :rule eq_resolve :premises (@p442 @p441)) % 0.48/0.93 (step @p444 :rule refl :args (@t7)) % 0.48/0.93 (step @p445 :rule ho_cong :premises (@p444 @p395)) % 0.48/0.93 (step @p446 :rule trans :premises (@p445 @p443)) % 0.48/0.93 (step @p447 :rule ho_cong :premises (@p396 @p446)) % 0.48/0.93 (step @p448 :rule ho_cong :premises (@p447 @p437)) % 0.48/0.93 (step @p449 :rule trans :premises (@p448 @p424)) % 0.48/0.93 (step @p450 :rule cong :premises (@p449) :args (@t628)) % 0.48/0.93 (step @p451 :rule eq_resolve :premises (@p301 @p450)) % 0.48/0.93 (step @p452 :rule cnf_or_pos :args (@t667)) % 0.48/0.93 (step @p453 :rule reordering :premises (@p452) :args ((or @t664 @t665 @t666 @t668))) % 0.48/0.93 (step @p454 :rule chain_m_resolution :premises (@p453 @p451 @p406 @p400) :args (@t668 (@list true false false) (@list @t664 @t660 @t659))) % 0.48/0.93 (assume-push @p461 @t669) % 0.48/0.93 (step @p456 :rule instantiate :premises (@p376) :args ((@list @t658 tptp.alpha tptp.q2 tptp.x))) % 0.48/0.93 (step-pop @p462 :rule scope :premises (@p456)) % 0.48/0.93 (step @p457 :rule process_scope :premises (@p462) :args (@t667)) % 0.48/0.93 (step @p459 :rule implies_elim :premises (@p457)) % 0.48/0.93 (step @p460 false :rule chain_m_resolution :premises (@p459 @p454 @p376) :args (false (@list true false) (@list @t667 @t669))) % 0.48/0.93 ) % 0.48/0.93 % SZS output end Proof % 0.48/0.93 % cvc5 exiting %------------------------------------------------------------------------------